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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1912.01700
|
Camille Eloy
|
Camille Eloy, Olaf Hohm and Henning Samtleben
|
Green-Schwarz Mechanism for String Dualities
|
9 pages, v2: some corrected typos and corrected Eq. (12). Published
version
|
Phys. Rev. Lett. 124, 091601 (2020)
|
10.1103/PhysRevLett.124.091601
|
HU-EP-19/37
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We determine the complete spacetime action to first order in $\alpha'$ for
the massless fields of bosonic string theory compactified on a $d$-dimensional
torus. A fully systematic procedure is developed that brings the action into a
minimal form in which all fields apart from the metric enter only with
first-order derivatives. T-duality implies that this action must have a global
$\mathrm{O}(d,d,\mathbb{R})$ symmetry, and we show that this requires a
Green-Schwarz type mechanism for $\alpha'$-deformed
$\mathrm{O}(d,d,\mathbb{R})$ transformations. In terms of a frame formalism
with ${\rm GL}(d)\times {\rm GL}(d)$ gauge symmetry this amounts to a
modification of the three-form curvature by a Chern-Simons term for composite
gauge fields.
|
[
{
"created": "Tue, 3 Dec 2019 22:00:14 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Mar 2020 16:05:11 GMT",
"version": "v2"
}
] |
2020-03-11
|
[
[
"Eloy",
"Camille",
""
],
[
"Hohm",
"Olaf",
""
],
[
"Samtleben",
"Henning",
""
]
] |
We determine the complete spacetime action to first order in $\alpha'$ for the massless fields of bosonic string theory compactified on a $d$-dimensional torus. A fully systematic procedure is developed that brings the action into a minimal form in which all fields apart from the metric enter only with first-order derivatives. T-duality implies that this action must have a global $\mathrm{O}(d,d,\mathbb{R})$ symmetry, and we show that this requires a Green-Schwarz type mechanism for $\alpha'$-deformed $\mathrm{O}(d,d,\mathbb{R})$ transformations. In terms of a frame formalism with ${\rm GL}(d)\times {\rm GL}(d)$ gauge symmetry this amounts to a modification of the three-form curvature by a Chern-Simons term for composite gauge fields.
| 6.523075 | 5.673278 | 7.065962 | 5.876881 | 6.032087 | 5.784021 | 5.609521 | 5.608294 | 5.724774 | 6.718737 | 5.554342 | 5.97605 | 6.852713 | 6.127308 | 6.202037 | 6.103796 | 5.962967 | 6.183346 | 6.053316 | 6.656299 | 6.113701 |
1511.07034
|
Shahab Shahidi
|
Farid Charmchi, Zahra Haghani, Shahab Shahidi and Leila Shahkarami
|
One-loop corrections to vector Galileon theory
|
10 pages
|
Phys. Rev. D 93, 124044 (2016)
|
10.1103/PhysRevD.93.124044
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The effective action of the recently proposed vector Galileon theory is
considered. Using the background field method, we obtain the one-loop
correction to the propagator of the Proca field from vector Galileon
self-interactions. Contrary to the so-called scalar Galileon interactions, the
two-point function of the vector field gets renormalized at the one-loop level,
indicating that there is no non-renormalization theorem in the vector Galileon
theory. Using dimensional regularization, we remove the divergences and obtain
the counterterms of the theory. The finite term is analytically calculated,
which modifies the propagator and the mass term and generates some new terms
also.
|
[
{
"created": "Sun, 22 Nov 2015 17:03:02 GMT",
"version": "v1"
}
] |
2016-06-22
|
[
[
"Charmchi",
"Farid",
""
],
[
"Haghani",
"Zahra",
""
],
[
"Shahidi",
"Shahab",
""
],
[
"Shahkarami",
"Leila",
""
]
] |
The effective action of the recently proposed vector Galileon theory is considered. Using the background field method, we obtain the one-loop correction to the propagator of the Proca field from vector Galileon self-interactions. Contrary to the so-called scalar Galileon interactions, the two-point function of the vector field gets renormalized at the one-loop level, indicating that there is no non-renormalization theorem in the vector Galileon theory. Using dimensional regularization, we remove the divergences and obtain the counterterms of the theory. The finite term is analytically calculated, which modifies the propagator and the mass term and generates some new terms also.
| 6.669919 | 6.954115 | 6.721519 | 6.434235 | 6.557412 | 6.650851 | 6.293704 | 6.092501 | 6.222641 | 7.027239 | 6.567547 | 6.49292 | 6.636312 | 6.29751 | 6.32635 | 6.500087 | 6.495571 | 6.410777 | 6.625473 | 6.487876 | 6.529881 |
1203.5061
|
Jorge Russo
|
Jorge G. Russo
|
A note on perturbation series in supersymmetric gauge theories
|
28 pages. V2: minor additions and reference added
| null |
10.1007/JHEP06(2012)038
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Exact results in supersymmetric Chern-Simons and N=2 Yang-Mills theories can
be used to examine the quantum behavior of observables and the structure of the
perturbative series. For the U(2) x U(2) ABJM model, we determine the
asymptotic behavior of the perturbative series for the partition function and
write it as a Borel transform. Similar results are obtained for N=2 SU(2) super
Yang-Mills theory with four fundamental flavors and in N=2* super Yang-Mills
theory, for the partition function as well as for the expectation values for
Wilson loop and 't Hooft loop operators (in the 0 and 1 instanton sectors). In
all examples, one has an alternate perturbation series where the coefficient of
the nth term increases as n!, and the perturbation series are Borel summable.
We also calculate the expectation value for a Wilson loop operator in the N=2*
SU(N) theory at large N in different regimes of the 't Hooft gauge coupling and
mass parameter. For large masses, the calculation reproduces the running gauge
coupling for the pure N=2 SYM theory.
|
[
{
"created": "Thu, 22 Mar 2012 18:03:17 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Mar 2012 19:49:01 GMT",
"version": "v2"
}
] |
2015-06-04
|
[
[
"Russo",
"Jorge G.",
""
]
] |
Exact results in supersymmetric Chern-Simons and N=2 Yang-Mills theories can be used to examine the quantum behavior of observables and the structure of the perturbative series. For the U(2) x U(2) ABJM model, we determine the asymptotic behavior of the perturbative series for the partition function and write it as a Borel transform. Similar results are obtained for N=2 SU(2) super Yang-Mills theory with four fundamental flavors and in N=2* super Yang-Mills theory, for the partition function as well as for the expectation values for Wilson loop and 't Hooft loop operators (in the 0 and 1 instanton sectors). In all examples, one has an alternate perturbation series where the coefficient of the nth term increases as n!, and the perturbation series are Borel summable. We also calculate the expectation value for a Wilson loop operator in the N=2* SU(N) theory at large N in different regimes of the 't Hooft gauge coupling and mass parameter. For large masses, the calculation reproduces the running gauge coupling for the pure N=2 SYM theory.
| 5.912978 | 5.828783 | 6.97842 | 5.9078 | 5.95912 | 6.245409 | 5.768262 | 6.134703 | 5.479342 | 7.276531 | 5.828463 | 5.746265 | 6.202118 | 5.746726 | 5.843538 | 5.943423 | 5.822181 | 5.787586 | 5.856183 | 6.432208 | 5.787388 |
hep-th/9607031
|
Sacha Antonov
|
Alexander Antonov
|
Universal R-matrix and Quantum Volterra Model
|
12 pages, Latex file
|
Teor.Mat.Fiz. 113N3 (1997) 384-396; Theor.Math.Phys. 113 (1997)
1520-1529
| null |
LPTHE-96-28
|
hep-th math.QA q-alg
| null |
In this paper we explicitly prove that Integrable System solved by Quantum
Inverse Scattering Method can be described with the pure algebraic object
(Universal R-matrix) and proper algebraic representations. Namely, on the
example of the Quantum Volterra model we construct L-operator and fundamental
R--matrix from universal R--matrix for Quantum Affine $U_q(\widehat{sl}_2)$
Algebra and q-oscillator representation for it. In this way there exists an
equivalence between the Integrable System with symmetry algebra A and the
representation of this algebra.
|
[
{
"created": "Wed, 3 Jul 1996 18:02:43 GMT",
"version": "v1"
}
] |
2008-02-03
|
[
[
"Antonov",
"Alexander",
""
]
] |
In this paper we explicitly prove that Integrable System solved by Quantum Inverse Scattering Method can be described with the pure algebraic object (Universal R-matrix) and proper algebraic representations. Namely, on the example of the Quantum Volterra model we construct L-operator and fundamental R--matrix from universal R--matrix for Quantum Affine $U_q(\widehat{sl}_2)$ Algebra and q-oscillator representation for it. In this way there exists an equivalence between the Integrable System with symmetry algebra A and the representation of this algebra.
| 12.389372 | 12.824807 | 14.172129 | 11.786861 | 12.727626 | 12.232167 | 11.835787 | 12.076207 | 11.505966 | 15.730355 | 11.656919 | 11.854071 | 12.319757 | 11.536756 | 11.565289 | 11.49979 | 11.296049 | 11.46523 | 12.10682 | 12.470523 | 11.663591 |
1103.1740
|
Tsutomu Kobayashi
|
Tsutomu Kobayashi, Masahide Yamaguchi, Jun'ichi Yokoyama
|
Primordial non-Gaussianity from G-inflation
|
12 pages; v2: Minor changes, added 4 figures, matches the published
version
|
Phys.Rev.D83:103524,2011
|
10.1103/PhysRevD.83.103524
|
RESCEU-3/11
|
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a comprehensive study of primordial fluctuations generated from
G-inflation, in which the inflaton Lagrangian is of the form $K(\phi,
X)-G(\phi, X)\Box\phi$ with $X=-(\partial\phi)^2/2$. The Lagrangian still gives
rise to second-order gravitational and scalar field equations, and thus offers
a more generic class of single-field inflation than ever studied, with a richer
phenomenology. We compute the power spectrum and the bispectrum, and clarify
how the non-Gaussian amplitude depends upon parameters such as the sound speed.
In so doing we try to keep as great generality as possible, allowing for non
slow-roll and deviation from the exact scale-invariance.
|
[
{
"created": "Wed, 9 Mar 2011 09:24:13 GMT",
"version": "v1"
},
{
"created": "Fri, 13 May 2011 12:14:10 GMT",
"version": "v2"
}
] |
2011-06-07
|
[
[
"Kobayashi",
"Tsutomu",
""
],
[
"Yamaguchi",
"Masahide",
""
],
[
"Yokoyama",
"Jun'ichi",
""
]
] |
We present a comprehensive study of primordial fluctuations generated from G-inflation, in which the inflaton Lagrangian is of the form $K(\phi, X)-G(\phi, X)\Box\phi$ with $X=-(\partial\phi)^2/2$. The Lagrangian still gives rise to second-order gravitational and scalar field equations, and thus offers a more generic class of single-field inflation than ever studied, with a richer phenomenology. We compute the power spectrum and the bispectrum, and clarify how the non-Gaussian amplitude depends upon parameters such as the sound speed. In so doing we try to keep as great generality as possible, allowing for non slow-roll and deviation from the exact scale-invariance.
| 7.823792 | 8.444555 | 8.047546 | 7.64295 | 8.954169 | 8.106421 | 8.378057 | 7.507364 | 8.251275 | 9.182691 | 7.633674 | 7.562599 | 8.041986 | 7.610888 | 7.828457 | 8.104019 | 7.881701 | 7.784453 | 7.581446 | 7.711763 | 7.438974 |
2005.04125
|
Gerry McKeon Dr.
|
D.G.C. McKeon
|
A Gauge Theory that mixes Bosonic and Fermionic Gauge Fields
| null | null |
10.1139/cjp-2020-0323
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using a gauge symmetry derived by applying the Dirac constraint formalism to
supergravity with cosmological term in 2+1 dimensions, we construct a gauge
theory with many characteristics of Yang-Mills theory. The gauge transformation
mixes two Bosonic fields and one Fermionic field.
|
[
{
"created": "Fri, 8 May 2020 16:05:33 GMT",
"version": "v1"
},
{
"created": "Sat, 13 Jun 2020 02:02:54 GMT",
"version": "v2"
}
] |
2021-07-07
|
[
[
"McKeon",
"D. G. C.",
""
]
] |
Using a gauge symmetry derived by applying the Dirac constraint formalism to supergravity with cosmological term in 2+1 dimensions, we construct a gauge theory with many characteristics of Yang-Mills theory. The gauge transformation mixes two Bosonic fields and one Fermionic field.
| 13.219026 | 10.546786 | 11.799472 | 10.725921 | 10.671461 | 10.827905 | 11.406739 | 10.754766 | 10.830796 | 11.664662 | 10.847407 | 11.120021 | 12.391532 | 11.166139 | 11.413592 | 11.697628 | 11.429367 | 11.736907 | 11.483438 | 12.115427 | 10.890474 |
hep-th/9908054
|
Sergey Eremin
|
S. Eremin, E. Ivanov
|
Holomorphic Effective Action of N=2 SYM Theory from Harmonic Superspace
with Central Charges
|
16 pages, Latex, FEYNMAN macros included
|
Mod.Phys.Lett. A15 (2000) 1859-1878
|
10.1142/S0217732300002176
| null |
hep-th
| null |
We compute the one-loop holomorphic effective action of the massless Cartan
sector of N=2 SYM theory in the Coulomb branch, taking into account the
contributions both from the charged hypermultiplets and off-diagonal components
of the gauge superfield. We use the manifestly supersymmetric harmonic
superfields diagram techniques adapted to N=2 supersymmetry with the central
charges induced by Cartan generators. The (anti)holomorphic part proves to be
proportional to the central charges and it has the generic form of Seiberg's
action obtained by integrating U(1) R-anomaly. It vanishes for N=4 SYM theory,
i.e. the coupled system of N=2 gauge superfield and hypermultiplet in the
adjoint representation.
|
[
{
"created": "Sun, 8 Aug 1999 20:29:43 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Sep 1999 18:14:12 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Eremin",
"S.",
""
],
[
"Ivanov",
"E.",
""
]
] |
We compute the one-loop holomorphic effective action of the massless Cartan sector of N=2 SYM theory in the Coulomb branch, taking into account the contributions both from the charged hypermultiplets and off-diagonal components of the gauge superfield. We use the manifestly supersymmetric harmonic superfields diagram techniques adapted to N=2 supersymmetry with the central charges induced by Cartan generators. The (anti)holomorphic part proves to be proportional to the central charges and it has the generic form of Seiberg's action obtained by integrating U(1) R-anomaly. It vanishes for N=4 SYM theory, i.e. the coupled system of N=2 gauge superfield and hypermultiplet in the adjoint representation.
| 9.402075 | 9.265456 | 11.153178 | 9.44468 | 9.61623 | 9.526532 | 9.268085 | 9.40459 | 8.615968 | 11.120423 | 8.65645 | 8.983795 | 9.526603 | 8.749277 | 9.162752 | 9.149034 | 9.077418 | 8.922132 | 8.878716 | 9.755696 | 9.079271 |
1709.05990
|
Marc Casals
|
Claudia Buss and Marc Casals
|
Quantum correlator outside a Schwarzschild black hole
|
7 pages, 4 figures. Version 2: as in the published version in Phys.
Lett. B
|
Phys. Lett. B 776C, 168 (2018)
|
10.1016/j.physletb.2017.11.048
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We calculate the quantum correlator in Schwarzschild black hole space-time.
We perform the calculation for a scalar field in three different quantum
states: Boulware, Unruh and Hartle-Hawking, and for points along a timelike
circular geodesic. The results show that the correlator presents a global
fourfold singularity structure, which is state-independent. Our results also
show the different correlations in the three different quantum states arising
in-between the singularities.
|
[
{
"created": "Mon, 18 Sep 2017 15:00:19 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Dec 2017 18:23:09 GMT",
"version": "v2"
}
] |
2017-12-05
|
[
[
"Buss",
"Claudia",
""
],
[
"Casals",
"Marc",
""
]
] |
We calculate the quantum correlator in Schwarzschild black hole space-time. We perform the calculation for a scalar field in three different quantum states: Boulware, Unruh and Hartle-Hawking, and for points along a timelike circular geodesic. The results show that the correlator presents a global fourfold singularity structure, which is state-independent. Our results also show the different correlations in the three different quantum states arising in-between the singularities.
| 9.383375 | 9.893859 | 8.592578 | 9.205295 | 10.56342 | 9.122689 | 9.803331 | 9.537516 | 8.853196 | 10.292821 | 9.649598 | 9.565303 | 9.303528 | 9.353676 | 9.616826 | 9.71237 | 9.575527 | 9.25898 | 9.039173 | 9.288492 | 9.295985 |
1002.4568
|
Jae-Weon Lee Prof.
|
Jae-Weon Lee, Hyeong-Chan Kim, Jungjai Lee
|
Gravity as Quantum Entanglement Force
|
revtex4-1
|
Journal of the Korean Physical Society March 2015, Volume 66, pp
1025-1030
|
10.3938/jkps.66.1025
| null |
hep-th astro-ph.CO quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We conjecture that the total quantum entanglement of matter and vacuum in the
universe tends to increase with time, like entropy, and that an effective force
is associated with this tendency. We also suggest that gravity and dark energy
are types of quantum entanglement forces, similar to Verlinde's entropic force,
and give holographic dark energy with an equation of state comparable to
current observational data. This connection between quantum entanglement and
gravity could give some new insights into the origins of gravity, dark energy,
and the arrow of time.
|
[
{
"created": "Wed, 24 Feb 2010 15:59:07 GMT",
"version": "v1"
},
{
"created": "Sun, 13 Sep 2015 20:57:21 GMT",
"version": "v2"
}
] |
2015-09-16
|
[
[
"Lee",
"Jae-Weon",
""
],
[
"Kim",
"Hyeong-Chan",
""
],
[
"Lee",
"Jungjai",
""
]
] |
We conjecture that the total quantum entanglement of matter and vacuum in the universe tends to increase with time, like entropy, and that an effective force is associated with this tendency. We also suggest that gravity and dark energy are types of quantum entanglement forces, similar to Verlinde's entropic force, and give holographic dark energy with an equation of state comparable to current observational data. This connection between quantum entanglement and gravity could give some new insights into the origins of gravity, dark energy, and the arrow of time.
| 8.474534 | 8.867301 | 8.872357 | 8.222127 | 7.338116 | 8.421982 | 8.254217 | 7.768338 | 7.65924 | 8.276484 | 8.068414 | 7.44078 | 7.668427 | 7.876428 | 7.662544 | 7.646882 | 7.774449 | 7.702929 | 8.076062 | 7.687086 | 7.691682 |
2008.10457
|
Nelson R. F. Braga
|
Nelson R. F. Braga and Rodrigo da Mata
|
Configuration entropy description of charmonium dissociation under the
influence of magnetic fields
|
17 pages, 7 figures and 2 tables
| null |
10.1016/j.physletb.2020.135918
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Heavy ion collisions, produced in particle accelerators, lead to the
formation of a new state of matter, known as the quark gluon plasma. It is not
possible to observe directly the plasma, where quarks and gluons are not
confined into hadrons. All the available information comes from the particles
that reach the detectors after the strongly interacting matter hadronizes.
Among those particles, one that plays an important role is the charmonium
J/$\psi$ heavy meson, made of a $ c \bar c$ quark anti-quark pair. The fraction
of such particles produced in a heavy ion collision is related to the
dissociation level caused by the plasma. On the other hand, the dissociation of
$J/\Psi $ in the plasma is influenced by the temperature and the density of the
medium and also by the presence of magnetic fields, that are produced in non
central collisions. A very interesting tool to study stability of physical
systems is the configuration entropy (CE). In recent years many examples in
various kinds of physical systems appeared in the literature, where an increase
in the CE is associated with an increase in the instability of the system. In
this article we calculate the CE for charmonium quasistates inside a plasma
with a magnetic field background, in order to investigate how the instability,
corresponding in this case to the dissociation in the thermal medium, is
translated into the dependence of the CE on the field.
|
[
{
"created": "Mon, 24 Aug 2020 13:59:12 GMT",
"version": "v1"
}
] |
2020-11-18
|
[
[
"Braga",
"Nelson R. F.",
""
],
[
"da Mata",
"Rodrigo",
""
]
] |
Heavy ion collisions, produced in particle accelerators, lead to the formation of a new state of matter, known as the quark gluon plasma. It is not possible to observe directly the plasma, where quarks and gluons are not confined into hadrons. All the available information comes from the particles that reach the detectors after the strongly interacting matter hadronizes. Among those particles, one that plays an important role is the charmonium J/$\psi$ heavy meson, made of a $ c \bar c$ quark anti-quark pair. The fraction of such particles produced in a heavy ion collision is related to the dissociation level caused by the plasma. On the other hand, the dissociation of $J/\Psi $ in the plasma is influenced by the temperature and the density of the medium and also by the presence of magnetic fields, that are produced in non central collisions. A very interesting tool to study stability of physical systems is the configuration entropy (CE). In recent years many examples in various kinds of physical systems appeared in the literature, where an increase in the CE is associated with an increase in the instability of the system. In this article we calculate the CE for charmonium quasistates inside a plasma with a magnetic field background, in order to investigate how the instability, corresponding in this case to the dissociation in the thermal medium, is translated into the dependence of the CE on the field.
| 7.097372 | 7.663196 | 7.281437 | 6.957929 | 7.178617 | 7.243559 | 7.178371 | 6.765137 | 6.89643 | 7.625408 | 7.055198 | 7.066319 | 6.963568 | 6.856441 | 6.923614 | 7.016595 | 7.045419 | 6.880166 | 6.87024 | 7.113334 | 6.900986 |
1907.01357
|
Matteo Beccaria
|
Matteo Beccaria, Hongliang Jiang, Arkady A. Tseytlin
|
Non-abelian Toda theory on AdS$_2$ and AdS$_2$/CFT$_2^{1/2}$ duality
|
38 pages. v2: minor changes
| null |
10.1007/s13130-019-11219-y
|
Imperial-TP-AT-2019-03
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It was recently observed that boundary correlators of the elementary scalar
field of the Liouville theory on AdS$_2$ background are the same (up to a
non-trivial proportionality coefficient) as the correlators of the chiral
stress tensor of the Liouville CFT on the complex plane restricted to the real
line. The same relation generalizes to the conformal abelian Toda theory:
boundary correlators of Toda scalars on AdS$_2$ are directly related to the
correlation functions of the chiral $\mathcal W$-symmetry generators in the
Toda CFT and thus are essentially controlled by the underlying
infinite-dimensional symmetry. These may be viewed as examples of
AdS$_2$/CFT$_1$ duality where the CFT$_1$ is the chiral half of a 2d CFT; we
shall refer to this as AdS$_{2}$/CFT$^{1/2}_{2}$. In this paper we demonstrate
that this duality applies also to the non-abelian Toda theory containing a
Liouville scalar coupled to a 2d $\sigma$-model originating from the $SL(2,
\mathbb R)/U(1)$ gauged WZW model. Here the Liouville scalar is again dual to
the chiral stress tensor $T$ while the other two scalars are dual to the
parafermionic operators $V^\pm$ of the non-abelian Toda CFT. We explicitly
check the duality at the next-to-leading order in the large central charge
expansion by matching the chiral CFT correlators of $(T, V^+,V^-)$ (computed
using a free field representation) with the boundary correlators of the three
Toda scalars given by the tree-level and one-loop Witten diagrams in AdS$_{2}$.
|
[
{
"created": "Tue, 2 Jul 2019 13:37:15 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Aug 2019 13:17:49 GMT",
"version": "v2"
}
] |
2019-10-02
|
[
[
"Beccaria",
"Matteo",
""
],
[
"Jiang",
"Hongliang",
""
],
[
"Tseytlin",
"Arkady A.",
""
]
] |
It was recently observed that boundary correlators of the elementary scalar field of the Liouville theory on AdS$_2$ background are the same (up to a non-trivial proportionality coefficient) as the correlators of the chiral stress tensor of the Liouville CFT on the complex plane restricted to the real line. The same relation generalizes to the conformal abelian Toda theory: boundary correlators of Toda scalars on AdS$_2$ are directly related to the correlation functions of the chiral $\mathcal W$-symmetry generators in the Toda CFT and thus are essentially controlled by the underlying infinite-dimensional symmetry. These may be viewed as examples of AdS$_2$/CFT$_1$ duality where the CFT$_1$ is the chiral half of a 2d CFT; we shall refer to this as AdS$_{2}$/CFT$^{1/2}_{2}$. In this paper we demonstrate that this duality applies also to the non-abelian Toda theory containing a Liouville scalar coupled to a 2d $\sigma$-model originating from the $SL(2, \mathbb R)/U(1)$ gauged WZW model. Here the Liouville scalar is again dual to the chiral stress tensor $T$ while the other two scalars are dual to the parafermionic operators $V^\pm$ of the non-abelian Toda CFT. We explicitly check the duality at the next-to-leading order in the large central charge expansion by matching the chiral CFT correlators of $(T, V^+,V^-)$ (computed using a free field representation) with the boundary correlators of the three Toda scalars given by the tree-level and one-loop Witten diagrams in AdS$_{2}$.
| 5.167082 | 5.003288 | 5.541316 | 4.978545 | 4.848808 | 5.134587 | 4.903996 | 4.93734 | 4.853874 | 5.640771 | 4.936755 | 4.985351 | 4.998415 | 4.899285 | 5.000876 | 4.992949 | 5.013884 | 4.849999 | 5.018291 | 5.135071 | 4.945156 |
2106.03612
|
Bekir Can L\"utf\"uo\u{g}lu
|
B. Hamil, H. Aounallah, B.C. L\"utf\"uo\u{g}lu
|
Graphene in curved Snyder space
|
11 pages, 4 figures
|
Zeitschrift f\"ur Naturforschung A 75 (10), 809-817 (2020)
|
10.1515/zna-2020-0159
| null |
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Snyder-de Sitter (SdS) model which is invariant under the action of the
de Sitter group, is an example of a noncommutative spacetime with three
fundamental scales. In this paper, we considered the massless Dirac fermions in
graphene layer in a curved Snyder spacetime which are subjected to an external
magnetic field. We employed representation in the momentum space to derive the
energy eigenvalues and the eigenfunctions of the system. Then, we used the
deduced energy function obtaining the internal energy, heat capacity, and
entropy functions. We investigated the role of the fundamental scales on these
thermal quantities of the graphene layer. We found that the effect of the SdS
model on the thermodynamic properties is significant.
|
[
{
"created": "Mon, 7 Jun 2021 13:38:04 GMT",
"version": "v1"
}
] |
2021-06-08
|
[
[
"Hamil",
"B.",
""
],
[
"Aounallah",
"H.",
""
],
[
"Lütfüoğlu",
"B. C.",
""
]
] |
The Snyder-de Sitter (SdS) model which is invariant under the action of the de Sitter group, is an example of a noncommutative spacetime with three fundamental scales. In this paper, we considered the massless Dirac fermions in graphene layer in a curved Snyder spacetime which are subjected to an external magnetic field. We employed representation in the momentum space to derive the energy eigenvalues and the eigenfunctions of the system. Then, we used the deduced energy function obtaining the internal energy, heat capacity, and entropy functions. We investigated the role of the fundamental scales on these thermal quantities of the graphene layer. We found that the effect of the SdS model on the thermodynamic properties is significant.
| 9.434454 | 8.897699 | 7.99621 | 7.96911 | 8.835707 | 8.290128 | 8.58191 | 7.901765 | 8.066329 | 8.640736 | 7.774339 | 8.601444 | 8.175161 | 8.059239 | 8.426161 | 8.126059 | 8.318061 | 7.884691 | 8.047848 | 8.215584 | 8.007702 |
hep-th/9706210
| null |
Fernando Quevedo
|
Duality and Global Symmetries
|
19 pages,latex,espcrc2
|
Nucl.Phys.Proc.Suppl. 61A (1998) 23-41
|
10.1016/S0920-5632(97)00517-3
|
IFUNAM FT97-7
|
hep-th
| null |
This is a general introduction to duality in field theories. The existence
and breaking of global symmetries is used as a guideline to systematically
prove duality between different field theories. Systems discussed include
abelian and non-abelian T-duality in string theory, abelian and nonabelian
bosonization, and duality for massless and massive antisymmetric tensor field
theories in arbitrary number of dimensions. Open questions regarding these
techniques are also discussed. (Lectures given at 33rd Karpacz Winter School
`Duality: Strings and Fields' .)
|
[
{
"created": "Fri, 27 Jun 1997 22:38:03 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Quevedo",
"Fernando",
""
]
] |
This is a general introduction to duality in field theories. The existence and breaking of global symmetries is used as a guideline to systematically prove duality between different field theories. Systems discussed include abelian and non-abelian T-duality in string theory, abelian and nonabelian bosonization, and duality for massless and massive antisymmetric tensor field theories in arbitrary number of dimensions. Open questions regarding these techniques are also discussed. (Lectures given at 33rd Karpacz Winter School `Duality: Strings and Fields' .)
| 10.466621 | 7.631921 | 10.531787 | 7.475514 | 7.371846 | 7.419581 | 7.668171 | 8.083789 | 7.751972 | 10.264582 | 7.684469 | 8.120115 | 8.988817 | 8.007929 | 7.8569 | 7.914968 | 7.562961 | 8.100763 | 8.286574 | 9.696821 | 8.40097 |
2106.02384
|
Antonino Marciano
|
Andrea Addazi, Jakub Bilski, Qingyu Gan and Antonino Marciano
|
New Massive JT Multi-Gravity and N-Replica of SYK Models
|
8 pages, 2 figures
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study a series of powerful correspondences among new multi-gravity
extensions of the Jackiw-Teitelboim model, multi-SYK models and
multi-Schwarzian quantum mechanics, in the $\rm{(A)dS_{2}/CFT}$ arena.
Deploying a $BF$-like formulation of the model, we discuss the counting of the
degrees of freedom for some specific classes of multi-gravity potentials, and
unveil connections among a variety of apparently different models. Quantization
of multi-gravity models can be then achieved from both the Hartle-Hawking
no-boundary proposal, the SYK partition function and the spin-foam approaches.
We comment on the SYK quantization procedure, and deepen in the appendix the
quantization scheme naturally achieved in the $BF$ framework. The new
multi-gravity theory hence recovered presents intriguing applications for
analogue gravitational models developed for condensed matter physics, including
graphene, endowed with defects and high intensity magnetic fields.
|
[
{
"created": "Fri, 4 Jun 2021 09:50:45 GMT",
"version": "v1"
}
] |
2021-06-07
|
[
[
"Addazi",
"Andrea",
""
],
[
"Bilski",
"Jakub",
""
],
[
"Gan",
"Qingyu",
""
],
[
"Marciano",
"Antonino",
""
]
] |
We study a series of powerful correspondences among new multi-gravity extensions of the Jackiw-Teitelboim model, multi-SYK models and multi-Schwarzian quantum mechanics, in the $\rm{(A)dS_{2}/CFT}$ arena. Deploying a $BF$-like formulation of the model, we discuss the counting of the degrees of freedom for some specific classes of multi-gravity potentials, and unveil connections among a variety of apparently different models. Quantization of multi-gravity models can be then achieved from both the Hartle-Hawking no-boundary proposal, the SYK partition function and the spin-foam approaches. We comment on the SYK quantization procedure, and deepen in the appendix the quantization scheme naturally achieved in the $BF$ framework. The new multi-gravity theory hence recovered presents intriguing applications for analogue gravitational models developed for condensed matter physics, including graphene, endowed with defects and high intensity magnetic fields.
| 20.816374 | 21.38805 | 21.560009 | 22.359266 | 21.171385 | 20.461533 | 24.26214 | 21.910923 | 21.079073 | 26.52634 | 21.020586 | 20.397116 | 21.432562 | 20.820177 | 20.109913 | 20.55912 | 20.829599 | 20.363604 | 20.639391 | 20.957283 | 20.238756 |
1903.07344
|
Goffredo Chirco
|
Goffredo Chirco, Alex Goe{\ss}mann, Daniele Oriti and Mingyi Zhang
|
Group Field Theory and Holographic Tensor Networks: Dynamical
Corrections to the Ryu-Takayanagi formula
|
40 pages, 13 figures
|
2020 Class. Quantum Grav. 37 095011
|
10.1088/1361-6382/ab7bb9
| null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We introduce group field theory networks as a generalization of spin networks
and of (symmetric) random tensor networks and provide a statistical computation
of the R\'enyi entropy for a bipartite network state using the partition
function of a simple interacting group field theory. The expectation value of
the entanglement entropy is calculated by an expansion into stranded Feynman
graphs and is shown to be captured by a Ryu- Takayanagi formula. For a simple
interacting group field theory, we can prove the linear corrections, given by a
polynomial perturbation of the Gaussian measure, to be negligible for a broad
class of networks.
|
[
{
"created": "Mon, 18 Mar 2019 10:16:29 GMT",
"version": "v1"
}
] |
2022-10-04
|
[
[
"Chirco",
"Goffredo",
""
],
[
"Goeßmann",
"Alex",
""
],
[
"Oriti",
"Daniele",
""
],
[
"Zhang",
"Mingyi",
""
]
] |
We introduce group field theory networks as a generalization of spin networks and of (symmetric) random tensor networks and provide a statistical computation of the R\'enyi entropy for a bipartite network state using the partition function of a simple interacting group field theory. The expectation value of the entanglement entropy is calculated by an expansion into stranded Feynman graphs and is shown to be captured by a Ryu- Takayanagi formula. For a simple interacting group field theory, we can prove the linear corrections, given by a polynomial perturbation of the Gaussian measure, to be negligible for a broad class of networks.
| 15.130958 | 14.453979 | 14.786471 | 14.440562 | 15.80037 | 16.178459 | 17.549824 | 14.477666 | 16.312733 | 17.405931 | 15.04743 | 14.328852 | 14.314121 | 13.37648 | 14.346357 | 14.154995 | 14.55541 | 14.796293 | 14.349877 | 15.214767 | 14.545042 |
1806.07138
|
Angel Domingo Gallegos Pazos
|
Angel Domingo Gallegos and Umut G\"ursoy
|
Dynamical gauge fields and anomalous transport at strong coupling
|
28 pages + appendices, 3 figures
| null | null | null |
hep-th cond-mat.str-el hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Anomalous transport coefficients are known to be universal in the absence of
dynamical gauge fields. We calculate the corrections to these universal values
due to dynamical gluon fields at strong coupling, at finite temperature and
finite density, using the holographic duality. We show that the consistent
chiral magnetic and chiral vortical currents receive no corrections, while we
derive a semi-analytic formula for the chiral separation conductivity. We
determine these corrections in the large color, large flavor limit, in terms of
a series expansion in the anomalous dimension $\Delta$ of the axial current in
terms of physical parameters $\Delta$, temperature, electric and chiral
chemical potentials and the flavor to color ratio $\frac{N_f}{N_c}$. Our
results are applicable to a generic class of chiral gauge theories that allow
for a holographic description in the gravity approximation. We also determine
the dynamical gluon corrections to the chiral vortical separation current in a
particular example in the absence of external axial fields.
|
[
{
"created": "Tue, 19 Jun 2018 10:09:25 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Feb 2019 14:50:17 GMT",
"version": "v2"
}
] |
2019-02-27
|
[
[
"Gallegos",
"Angel Domingo",
""
],
[
"Gürsoy",
"Umut",
""
]
] |
Anomalous transport coefficients are known to be universal in the absence of dynamical gauge fields. We calculate the corrections to these universal values due to dynamical gluon fields at strong coupling, at finite temperature and finite density, using the holographic duality. We show that the consistent chiral magnetic and chiral vortical currents receive no corrections, while we derive a semi-analytic formula for the chiral separation conductivity. We determine these corrections in the large color, large flavor limit, in terms of a series expansion in the anomalous dimension $\Delta$ of the axial current in terms of physical parameters $\Delta$, temperature, electric and chiral chemical potentials and the flavor to color ratio $\frac{N_f}{N_c}$. Our results are applicable to a generic class of chiral gauge theories that allow for a holographic description in the gravity approximation. We also determine the dynamical gluon corrections to the chiral vortical separation current in a particular example in the absence of external axial fields.
| 8.816658 | 8.841409 | 9.714929 | 8.787765 | 9.158951 | 9.235227 | 8.692629 | 8.686179 | 8.007016 | 9.725197 | 8.182628 | 8.217596 | 8.90379 | 8.232714 | 8.703029 | 8.252753 | 8.194771 | 8.538837 | 8.281671 | 8.529645 | 8.315575 |
hep-th/9712017
|
Stephen F. Hewson
|
S. F. Hewson
|
An approach to F-theory
|
20 pages, no figures, latex
|
Nucl.Phys. B534 (1998) 513-530
|
10.1016/S0550-3213(98)00521-5
|
DAMTP-R-97-58
|
hep-th
| null |
We consider BPS configurations in theories with two timelike directions from
the perspective of the supersymmetry algebra. We show that whereas a BPS state
in a theory with one timelike variable must have positive energy, in a theory
with two times any BPS state must have positive angular momentum in the
timelike plane, in that $Z_{0\tilde{0}}>0$, where $0$ and $\tilde{0}$ are the
two timelike directions. We consider some generic BPS solutions of theories
with two timelike directions, and then specialise to the study of the (10,2)
dimensional superalgebra for which the spinor operators generate 2-forms and
6-forms. We argue that the BPS configurations of this algebra relate to
F-theory in the same way that the BPS configurations of the eleven dimensional
supersymmetry algebra relate to M-theory. We show that the twelve dimensional
theory is one of fundamental 3-branes and 7-branes, along with their dual
partners. We then formulate the new intersection rules for these objects. Upon
reduction of this system we find the algebraic description of the IIB-branes
and the M-branes. Given these correspondences we may begin an algebraic study
of F-theory.
|
[
{
"created": "Mon, 1 Dec 1997 16:08:41 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Hewson",
"S. F.",
""
]
] |
We consider BPS configurations in theories with two timelike directions from the perspective of the supersymmetry algebra. We show that whereas a BPS state in a theory with one timelike variable must have positive energy, in a theory with two times any BPS state must have positive angular momentum in the timelike plane, in that $Z_{0\tilde{0}}>0$, where $0$ and $\tilde{0}$ are the two timelike directions. We consider some generic BPS solutions of theories with two timelike directions, and then specialise to the study of the (10,2) dimensional superalgebra for which the spinor operators generate 2-forms and 6-forms. We argue that the BPS configurations of this algebra relate to F-theory in the same way that the BPS configurations of the eleven dimensional supersymmetry algebra relate to M-theory. We show that the twelve dimensional theory is one of fundamental 3-branes and 7-branes, along with their dual partners. We then formulate the new intersection rules for these objects. Upon reduction of this system we find the algebraic description of the IIB-branes and the M-branes. Given these correspondences we may begin an algebraic study of F-theory.
| 8.576279 | 8.733631 | 9.977916 | 8.527737 | 8.650791 | 8.908535 | 8.610126 | 8.155103 | 8.374862 | 9.97858 | 8.362083 | 8.247379 | 9.191175 | 8.395814 | 8.499733 | 8.35 | 8.2736 | 8.539966 | 8.463749 | 9.055212 | 8.292525 |
2210.14272
|
Lucas Sourrouille Mr.
|
Nicolas Nessi and Lucas Sourrouille
|
Dynamic and static properties of Quantum Hall and Harmonic Oscillator
systems on the non-commutative plane
|
11 pages, 0 figures. Version to be published in Journal of
Mathematical Physics
|
Journal of Mathematical Physics 2023
|
10.1063/5.0147709
| null |
hep-th cond-mat.other
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study two quantum mechanical systems on the noncommutative plane using a
representation independent approach. First, in the context of the Landau
problem, we obtain an explicit expression for the gauge transformation that
connects the Landau and the symmetric gauge in noncommutative space. This lead
us to conclude that the usual form of the symmetric gauge
$\vec{A}=\left(-\frac{\beta}{2}\hat{Y},\frac{\beta}{2}\hat{X}\right)$, in which
the constant $\beta$ is interpreted as the magnetic field, is not true in
noncommutative space. We also be able to establish a precise definition of
$\beta$ as function of the magnetic field, for which the equivalence between
the symmetric and Landau gauges is hold in noncommutative plane. Using the
symmetric gauge we obtain results for the spectrum of the Quantum Hall system,
its transverse conductivity in the presence of an electric field and other
static observables. These results amend the literature on Quantum Hall Effect
in noncommutative plane in which the incorrect form of the symmetric gauge, in
noncommutative space, is assumed. We also study the non-equilibrium dynamics of
simple observables for this system. On the other hand, we study the dynamics of
the harmonic oscillator in non-commutative space and show that, in general, it
exhibit quasi-periodic behavior, in striking contrast with its commutative
version. The study of the dynamics reveals itself as a most powerful tool to
characterize and understand the effects of non-commutativity.
|
[
{
"created": "Tue, 25 Oct 2022 18:52:06 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Oct 2022 02:56:35 GMT",
"version": "v2"
},
{
"created": "Wed, 5 Jul 2023 20:18:08 GMT",
"version": "v3"
}
] |
2023-08-23
|
[
[
"Nessi",
"Nicolas",
""
],
[
"Sourrouille",
"Lucas",
""
]
] |
We study two quantum mechanical systems on the noncommutative plane using a representation independent approach. First, in the context of the Landau problem, we obtain an explicit expression for the gauge transformation that connects the Landau and the symmetric gauge in noncommutative space. This lead us to conclude that the usual form of the symmetric gauge $\vec{A}=\left(-\frac{\beta}{2}\hat{Y},\frac{\beta}{2}\hat{X}\right)$, in which the constant $\beta$ is interpreted as the magnetic field, is not true in noncommutative space. We also be able to establish a precise definition of $\beta$ as function of the magnetic field, for which the equivalence between the symmetric and Landau gauges is hold in noncommutative plane. Using the symmetric gauge we obtain results for the spectrum of the Quantum Hall system, its transverse conductivity in the presence of an electric field and other static observables. These results amend the literature on Quantum Hall Effect in noncommutative plane in which the incorrect form of the symmetric gauge, in noncommutative space, is assumed. We also study the non-equilibrium dynamics of simple observables for this system. On the other hand, we study the dynamics of the harmonic oscillator in non-commutative space and show that, in general, it exhibit quasi-periodic behavior, in striking contrast with its commutative version. The study of the dynamics reveals itself as a most powerful tool to characterize and understand the effects of non-commutativity.
| 6.409859 | 6.78055 | 6.4146 | 6.39787 | 6.511884 | 6.69541 | 6.7967 | 6.512026 | 6.427293 | 6.985652 | 6.476442 | 6.518119 | 6.353594 | 6.371372 | 6.380085 | 6.371835 | 6.550772 | 6.460813 | 6.325681 | 6.396533 | 6.321371 |
1801.03204
|
Antonio M. Garcia-Garcia
|
Antonio M. Garc\'ia-Garc\'ia and Masaki Tezuka
|
Many-Body Localization in a finite-range Sachdev-Ye-Kitaev model
|
6 pages, 2 figures
|
Phys. Rev. B 99, 054202 (2019)
|
10.1103/PhysRevB.99.054202
| null |
hep-th cond-mat.dis-nn cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the level statistics of a generalized Sachdev-Ye-Kitaev (SYK) model
with two-body and one-body random interactions of finite range by exact
diagonalization. Tuning the range of the one-body term, while keeping the
two-body interaction sufficiently long-ranged, does not alter substantially the
spectral correlations, which are still given by the random matrix prediction
typical of a quantum chaotic system. However a transition to an insulating
state, characterized by Poisson statistics, is observed by reducing the range
of the two-body interaction. Close to the many-body metal-insulator transition,
we show that spectral correlations share all features previously found in
systems at the Anderson transition and in the proximity of the many-body
localization transition. Our results suggest the potential relevance of SYK
models in the context of many-body localization and also offer a starting point
for the exploration of a gravity-dual of this phenomenon.
|
[
{
"created": "Wed, 10 Jan 2018 01:06:44 GMT",
"version": "v1"
}
] |
2019-02-06
|
[
[
"García-García",
"Antonio M.",
""
],
[
"Tezuka",
"Masaki",
""
]
] |
We study the level statistics of a generalized Sachdev-Ye-Kitaev (SYK) model with two-body and one-body random interactions of finite range by exact diagonalization. Tuning the range of the one-body term, while keeping the two-body interaction sufficiently long-ranged, does not alter substantially the spectral correlations, which are still given by the random matrix prediction typical of a quantum chaotic system. However a transition to an insulating state, characterized by Poisson statistics, is observed by reducing the range of the two-body interaction. Close to the many-body metal-insulator transition, we show that spectral correlations share all features previously found in systems at the Anderson transition and in the proximity of the many-body localization transition. Our results suggest the potential relevance of SYK models in the context of many-body localization and also offer a starting point for the exploration of a gravity-dual of this phenomenon.
| 7.542451 | 8.379546 | 8.43038 | 7.589524 | 8.121899 | 8.496497 | 8.006585 | 7.571893 | 7.558393 | 8.47399 | 7.386526 | 7.842743 | 8.15354 | 7.705356 | 7.730759 | 7.874506 | 8.159101 | 7.98051 | 7.632683 | 8.047689 | 7.654145 |
hep-th/9706217
| null |
A. Smilga, A. Veselov
|
Complex BPS domain walls and phase transition in mass in supersymmetric
QCD
|
10 pages LaTeX, 4 Postscript figures. References added
|
Phys.Rev.Lett.79:4529-4532,1997
|
10.1103/PhysRevLett.79.4529
|
ITEP-TH-30/97
|
hep-th
| null |
We study the domain walls connecting different chirally asymmetric vacua in
supersymmetric QCD. We show that BPS - saturated solutions exist only in the
limited range of mass. When m exceeds some critical value, the domain wall
either ceases to be BPS - saturated or disappears altogether. In any case, the
properties of the system are qualitatively changed.
|
[
{
"created": "Mon, 30 Jun 1997 12:13:33 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Jul 1997 11:43:41 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Smilga",
"A.",
""
],
[
"Veselov",
"A.",
""
]
] |
We study the domain walls connecting different chirally asymmetric vacua in supersymmetric QCD. We show that BPS - saturated solutions exist only in the limited range of mass. When m exceeds some critical value, the domain wall either ceases to be BPS - saturated or disappears altogether. In any case, the properties of the system are qualitatively changed.
| 9.722394 | 9.275593 | 10.268767 | 8.815984 | 8.086158 | 8.238453 | 8.050613 | 8.276822 | 8.314318 | 10.314933 | 8.01965 | 8.830947 | 9.802677 | 9.12122 | 8.857726 | 9.059265 | 8.813903 | 8.847665 | 9.010808 | 9.98307 | 8.802238 |
1903.05792
|
Matheus Lize
|
Henrique Flores, Matheus Lize (IFT-UNESP/ICTP-SAIFR, S\=ao
Paulo-Brazil)
|
On the Spectrum and Spacetime Supersymmetry of Heterotic Ambitwistor
String
|
13 pages ( Submission to JHEP and minor typos fixed )
| null |
10.1007/JHEP08(2019)094
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyse the BRST cohomology of the Ramond sector of heterotic ambitwistor
theory. We also write the free string field theory action and compute the
supersymmetry transformations.
|
[
{
"created": "Thu, 14 Mar 2019 02:21:55 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Jul 2019 13:10:25 GMT",
"version": "v2"
}
] |
2019-09-04
|
[
[
"Flores",
"Henrique",
"",
"IFT-UNESP/ICTP-SAIFR, Sāo\n Paulo-Brazil"
],
[
"Lize",
"Matheus",
"",
"IFT-UNESP/ICTP-SAIFR, Sāo\n Paulo-Brazil"
]
] |
We analyse the BRST cohomology of the Ramond sector of heterotic ambitwistor theory. We also write the free string field theory action and compute the supersymmetry transformations.
| 17.645306 | 13.623699 | 22.340254 | 12.494145 | 12.960523 | 13.238051 | 11.527765 | 12.455153 | 13.642015 | 19.65233 | 12.725392 | 12.902837 | 16.202356 | 13.968714 | 13.404998 | 13.175652 | 13.28057 | 13.776035 | 13.875567 | 17.560064 | 13.43951 |
1507.05928
|
Matthew Elliot-Ripley
|
Matthew Elliot-Ripley and Thomas Winyard
|
Baby Skyrmions in AdS
|
16 pages, two tables, lots of figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the baby Skyrme model in a pure AdS background without a mass term.
The tail decays and scalings of massless radial solutions are demonstrated to
take a similar form to those of the massive flat space model, with the AdS
curvature playing a similar role to the flat space pion mass. We also
numerically find minimal energy solutions for a range of higher topological
charges and find that they form concentric ring-like solutions. Popcorn
transitions (named in analogy with studies of toy models of holographic QCD)
from an n layer to an n+1-layer configuration are observed at topological
charges 9 and 27 and further popcorn transitions for higher charges are
predicted. Finally, a point-particle approximation for the model is derived and
used to successfully predict the ring structures and popcorn transitions for
higher charge solitons.
|
[
{
"created": "Tue, 21 Jul 2015 18:04:08 GMT",
"version": "v1"
}
] |
2015-07-22
|
[
[
"Elliot-Ripley",
"Matthew",
""
],
[
"Winyard",
"Thomas",
""
]
] |
We study the baby Skyrme model in a pure AdS background without a mass term. The tail decays and scalings of massless radial solutions are demonstrated to take a similar form to those of the massive flat space model, with the AdS curvature playing a similar role to the flat space pion mass. We also numerically find minimal energy solutions for a range of higher topological charges and find that they form concentric ring-like solutions. Popcorn transitions (named in analogy with studies of toy models of holographic QCD) from an n layer to an n+1-layer configuration are observed at topological charges 9 and 27 and further popcorn transitions for higher charges are predicted. Finally, a point-particle approximation for the model is derived and used to successfully predict the ring structures and popcorn transitions for higher charge solitons.
| 11.779279 | 12.519647 | 13.778789 | 11.945346 | 12.540833 | 11.612647 | 11.377409 | 11.073807 | 10.872052 | 14.905663 | 10.865003 | 10.787613 | 11.807593 | 11.237562 | 10.998939 | 10.92881 | 10.83112 | 11.118698 | 11.370781 | 11.881582 | 10.812432 |
1411.1301
|
Ian Jack
|
I. Jack and C. Poole
|
The a-function for gauge theories
|
28 pages; uses axodraw; typos corrected, also some sign errors
corrected in Sect 5
| null |
10.1007/JHEP01(2015)138
|
LTH 1017
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The a-function is a proposed quantity defined for quantum field theories
which has a monotonic behaviour along renormalisation group flows, being
related to the beta-functions via a gradient flow equation involving a positive
definite metric. We construct the a-function at four loop order for a general
gauge theory with fermions and scalars, using only one and two loop
beta-functions; we are then able to provide a stringent consistency check on
the general three-loop gauge beta-function. In the case of an N=1
supersymmetric gauge theory, we present a general condition on the chiral field
anomalous dimension which guarantees an exact all-orders expression for the
a-function; and we verify this up to fifth order (corresponding to the
three-loop anomalous dimension).
|
[
{
"created": "Wed, 5 Nov 2014 15:42:48 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Jul 2017 14:08:01 GMT",
"version": "v2"
}
] |
2017-07-27
|
[
[
"Jack",
"I.",
""
],
[
"Poole",
"C.",
""
]
] |
The a-function is a proposed quantity defined for quantum field theories which has a monotonic behaviour along renormalisation group flows, being related to the beta-functions via a gradient flow equation involving a positive definite metric. We construct the a-function at four loop order for a general gauge theory with fermions and scalars, using only one and two loop beta-functions; we are then able to provide a stringent consistency check on the general three-loop gauge beta-function. In the case of an N=1 supersymmetric gauge theory, we present a general condition on the chiral field anomalous dimension which guarantees an exact all-orders expression for the a-function; and we verify this up to fifth order (corresponding to the three-loop anomalous dimension).
| 10.258605 | 9.583069 | 10.194882 | 8.485113 | 9.153131 | 9.942574 | 9.245585 | 8.446018 | 8.403634 | 11.404904 | 9.052138 | 9.415592 | 10.129665 | 9.160736 | 9.094254 | 9.354178 | 8.988609 | 9.367 | 9.403466 | 9.955513 | 9.649639 |
0802.3720
|
Oren Bergman Dr.
|
Oren Bergman, Gilad Lifschytz, Matthew Lippert
|
Response of Holographic QCD to Electric and Magnetic Fields
|
18 pages, 19 figures; reference added, version published in JHEP
|
JHEP 0805:007,2008
|
10.1088/1126-6708/2008/05/007
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the response of the Sakai-Sugimoto holographic model of large N_c
QCD at nonzero temperature to external electric and magnetic fields. In the
electric case we find a first-order insulator-conductor transition in both the
confining and deconfining phases of the model. In the deconfining phase the
conductor is described by the parallel 8-brane-anti-8-brane embedding with a
current of quarks and anti-quarks. We compute the conductivity and show that it
agrees precisely with a computation using the Kubo formula. In the confining
phase we propose a new kind of 8-brane embedding, corresponding to a baryonic
conductor. In the magnetic field case we show that the critical temperature for
chiral-symmetry restoration in the deconfined phase increases with the field
and approaches a finite value in the limit of an infinite magnetic field. We
also illustrate the nonlinear behavior of the electric and magnetic
susceptibilities in the different phases.
|
[
{
"created": "Tue, 26 Feb 2008 04:34:14 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Jun 2008 16:04:00 GMT",
"version": "v2"
}
] |
2009-12-15
|
[
[
"Bergman",
"Oren",
""
],
[
"Lifschytz",
"Gilad",
""
],
[
"Lippert",
"Matthew",
""
]
] |
We study the response of the Sakai-Sugimoto holographic model of large N_c QCD at nonzero temperature to external electric and magnetic fields. In the electric case we find a first-order insulator-conductor transition in both the confining and deconfining phases of the model. In the deconfining phase the conductor is described by the parallel 8-brane-anti-8-brane embedding with a current of quarks and anti-quarks. We compute the conductivity and show that it agrees precisely with a computation using the Kubo formula. In the confining phase we propose a new kind of 8-brane embedding, corresponding to a baryonic conductor. In the magnetic field case we show that the critical temperature for chiral-symmetry restoration in the deconfined phase increases with the field and approaches a finite value in the limit of an infinite magnetic field. We also illustrate the nonlinear behavior of the electric and magnetic susceptibilities in the different phases.
| 5.79553 | 6.030031 | 6.007933 | 5.463562 | 6.045488 | 6.126094 | 5.930049 | 5.685519 | 5.390839 | 6.254648 | 5.465116 | 5.515452 | 5.529498 | 5.42253 | 5.384479 | 5.47681 | 5.424238 | 5.484205 | 5.543305 | 5.516761 | 5.323973 |
hep-th/9509071
|
Rabindranath Chatterjee
|
R. Chatterjee (Rutgers University)
|
Exact Partition Function and Boundary State of 2-D Massive Ising Field
Theory with Boundary Magnetic Field
|
plain latex, 17 pages plus 11 figures in 3 .ps files, uuencoded in
isfig.uu
|
Nucl.Phys. B468 (1996) 439-460
|
10.1016/0550-3213(96)00134-4
|
RU-95-54
|
hep-th
| null |
We compute the exact partition function, the universal ground state
degeneracy and boundary state of the 2-D Ising model with boundary magnetic
field at off-critical temperatures. The model has a domain that exhibits states
localized near the boundaries. We study this domain of boundary bound state and
derive exact expressions for the ``$g$ function'' and boundary state for all
temperatures and boundary magnetic fields. In the massless limit we recover the
boundary renormalization group flow between the conformally invariant free and
fixed boundary conditions.
|
[
{
"created": "Thu, 14 Sep 1995 01:08:31 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Chatterjee",
"R.",
"",
"Rutgers University"
]
] |
We compute the exact partition function, the universal ground state degeneracy and boundary state of the 2-D Ising model with boundary magnetic field at off-critical temperatures. The model has a domain that exhibits states localized near the boundaries. We study this domain of boundary bound state and derive exact expressions for the ``$g$ function'' and boundary state for all temperatures and boundary magnetic fields. In the massless limit we recover the boundary renormalization group flow between the conformally invariant free and fixed boundary conditions.
| 14.906836 | 13.213562 | 17.148232 | 12.51532 | 12.319818 | 12.549283 | 12.429391 | 13.243259 | 11.965717 | 17.495808 | 11.495248 | 12.155121 | 14.826151 | 12.440378 | 11.673404 | 12.454579 | 12.147552 | 12.282806 | 12.338184 | 15.764555 | 11.862411 |
1507.07842
|
Augusto Sagnotti Prof.
|
E. Dudas, S. Ferrara, A. Kehagias, A. Sagnotti
|
Properties of Nilpotent Supergravity
|
19 pages, LaTeX. Dedicated to the memory of Raymond Stora. References
and comment on the duality added. Final version to appear in JHEP
| null | null |
CERN-PH-TH-2015-174
|
hep-th gr-qc hep-ph math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct Supergravity models where the goldstino multiplet has a
gravitational origin, being dual to the chiral curvature superfield.
Supersymmetry is nonlinearly realized due to a nilpotent constraint, while the
goldstino arises from $\gamma$-traces of the gauge-invariant gravitino field
strength. After duality transformations one recovers, as expected, the standard
Volkov-Akulov Lagrangian coupled to Supergravity, but the gravitational origin
of the goldstino multiplet restricts the available types of matter couplings.
We also construct explicitly some inflationary models of this type, which
contain both the inflaton and the nilpotent superfield.
|
[
{
"created": "Tue, 28 Jul 2015 16:42:33 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Sep 2015 11:09:16 GMT",
"version": "v2"
}
] |
2015-09-15
|
[
[
"Dudas",
"E.",
""
],
[
"Ferrara",
"S.",
""
],
[
"Kehagias",
"A.",
""
],
[
"Sagnotti",
"A.",
""
]
] |
We construct Supergravity models where the goldstino multiplet has a gravitational origin, being dual to the chiral curvature superfield. Supersymmetry is nonlinearly realized due to a nilpotent constraint, while the goldstino arises from $\gamma$-traces of the gauge-invariant gravitino field strength. After duality transformations one recovers, as expected, the standard Volkov-Akulov Lagrangian coupled to Supergravity, but the gravitational origin of the goldstino multiplet restricts the available types of matter couplings. We also construct explicitly some inflationary models of this type, which contain both the inflaton and the nilpotent superfield.
| 8.244411 | 7.502424 | 9.669952 | 7.78641 | 8.252463 | 7.474819 | 8.45353 | 7.690063 | 7.584885 | 9.376084 | 7.640986 | 8.441841 | 8.49541 | 7.960953 | 8.414483 | 8.125088 | 8.413939 | 8.108306 | 8.299634 | 8.670769 | 7.950036 |
hep-th/0411018
|
Vahagn Nazaryan
|
Vahagn Nazaryan and Carl E. Carlson
|
A Field Theoretical Model in Noncommutative Minkowski Superspace
|
9 pages. To be published in the proceedings of DPF 2004 in
International Journal of Modern Physics A
|
Int.J.Mod.Phys. A20 (2005) 3495-3501
|
10.1142/S0217751X05026820
|
WM-04-120
|
hep-th
| null |
In this talk we present a field theoretical model constructed in Minkowski
N=1 superspace with a deformed supercoordinate algebra. Our study is motivated
in part by recent results from super-string theory, which show that in a
particular scenario in Euclidean superspace the spinor coordinates \theta do
not anticommute. Field theoretical consequences of this deformation were
studied in a number of articles. We present a way to extend the discussion to
Minkowski space, by assuming non-vanishing anticommutators for both \theta, and
\bar{\theta}. We give a consistent supercoordinate algebra, and a star product
that is real and preserves the (anti)chirality of a product of (anti)chiral
superfields. We also give the Wess-Zumino Lagrangian that gains
Lorentz-invariant corrections due to non(anti)commutativity within our model.
The Lagrangian in Minkowski superspace is also always manifestly Hermitian.
|
[
{
"created": "Mon, 1 Nov 2004 15:04:42 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Nazaryan",
"Vahagn",
""
],
[
"Carlson",
"Carl E.",
""
]
] |
In this talk we present a field theoretical model constructed in Minkowski N=1 superspace with a deformed supercoordinate algebra. Our study is motivated in part by recent results from super-string theory, which show that in a particular scenario in Euclidean superspace the spinor coordinates \theta do not anticommute. Field theoretical consequences of this deformation were studied in a number of articles. We present a way to extend the discussion to Minkowski space, by assuming non-vanishing anticommutators for both \theta, and \bar{\theta}. We give a consistent supercoordinate algebra, and a star product that is real and preserves the (anti)chirality of a product of (anti)chiral superfields. We also give the Wess-Zumino Lagrangian that gains Lorentz-invariant corrections due to non(anti)commutativity within our model. The Lagrangian in Minkowski superspace is also always manifestly Hermitian.
| 10.398945 | 10.323252 | 10.91145 | 9.581993 | 10.804054 | 10.563428 | 10.897676 | 9.973285 | 10.193706 | 11.929584 | 9.929434 | 10.185346 | 10.486544 | 10.054117 | 10.13995 | 10.184482 | 10.169028 | 9.868001 | 10.178126 | 10.563181 | 10.137542 |
hep-th/0203245
|
Larisa Jonke
|
L. Jonke, S. Meljanac (Rudjer Boskovic Institute)
|
Algebra of the observables in the Calogero model and in the Chern-Simons
matrix model
|
24 pages, misprints corrected, reference added, final version, to
appear in PRB
|
Phys.Rev.B66:205313,2002
|
10.1103/PhysRevB.66.205313
| null |
hep-th
| null |
The algebra of observables of an N-body Calogero model is represented on the
S_N-symmetric subspace of the positive definite Fock space. We discuss some
general properties of the algebra and construct four different realizations of
the dynamical symmetry algebra of the Calogero model. Using the fact that the
minimal algebra of observables is common to the Calogero model and the finite
Chern-Simons (CS) matrix model, we extend our analysis to the CS matrix model.
We point out the algebraic similarities and distinctions of these models.
|
[
{
"created": "Tue, 26 Mar 2002 16:23:55 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Oct 2002 17:50:03 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Jonke",
"L.",
"",
"Rudjer Boskovic Institute"
],
[
"Meljanac",
"S.",
"",
"Rudjer Boskovic Institute"
]
] |
The algebra of observables of an N-body Calogero model is represented on the S_N-symmetric subspace of the positive definite Fock space. We discuss some general properties of the algebra and construct four different realizations of the dynamical symmetry algebra of the Calogero model. Using the fact that the minimal algebra of observables is common to the Calogero model and the finite Chern-Simons (CS) matrix model, we extend our analysis to the CS matrix model. We point out the algebraic similarities and distinctions of these models.
| 8.994541 | 7.084784 | 9.381003 | 7.391187 | 8.050083 | 7.854729 | 7.791828 | 7.525035 | 7.429901 | 9.559286 | 7.529389 | 7.937138 | 8.819234 | 8.03793 | 8.044968 | 8.207735 | 8.032424 | 8.235064 | 8.226137 | 8.174951 | 8.034082 |
hep-th/9804131
|
Cumrun Vafa
|
Cumrun Vafa
|
Extending Mirror Conjecture to Calabi-Yau with Bundles
|
7 pages, minor corrections and additional references
| null | null |
HUTP-98/A033
|
hep-th
| null |
We define the notion of mirror of a Calabi-Yau manifold with a stable bundle
in the context of type II strings in terms of supersymmetric cycles on the
mirror. This allows us to relate the variation of Hodge structure for
cohomologies arising from the bundle to the counting of holomorphic maps of
Riemann surfaces with boundary on the mirror side. Moreover it opens up the
possibility of studying bundles on Calabi-Yau manifolds in terms of
supersymmetric cycles on the mirror.
|
[
{
"created": "Mon, 20 Apr 1998 19:14:13 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Apr 1998 14:07:36 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Vafa",
"Cumrun",
""
]
] |
We define the notion of mirror of a Calabi-Yau manifold with a stable bundle in the context of type II strings in terms of supersymmetric cycles on the mirror. This allows us to relate the variation of Hodge structure for cohomologies arising from the bundle to the counting of holomorphic maps of Riemann surfaces with boundary on the mirror side. Moreover it opens up the possibility of studying bundles on Calabi-Yau manifolds in terms of supersymmetric cycles on the mirror.
| 7.513364 | 7.212486 | 9.404268 | 6.692637 | 7.110908 | 7.130723 | 6.369127 | 7.029391 | 7.020808 | 9.771724 | 6.995378 | 7.315886 | 7.77246 | 6.715168 | 7.025288 | 7.176459 | 7.319352 | 6.975245 | 6.816088 | 7.664499 | 7.257242 |
0911.0442
|
S. I. Kruglov
|
S. I. Kruglov
|
Note on Dirac--K\"ahler massless fields
|
16 pages, minor corrections in the text, published version
|
Eur.Phys.J.C68:337-343,2010
|
10.1140/epjc/s10052-010-1347-x
| null |
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We obtain the canonical and symmetrical Belinfante energy-momentum tensors of
Dirac--K\"{a}hler's fields. It is shown that the traces of the energy-momentum
tensors are not equal to zero. We find the canonical and Belinfante dilatation
currents which are not conserved, but a new conserved dilatation current is
obtained. It is pointed out that the conformal symmetry is broken. The
canonical quantization is performed and the propagator of the massless fields
in the first-order formalism is found.
|
[
{
"created": "Mon, 2 Nov 2009 21:30:55 GMT",
"version": "v1"
},
{
"created": "Sun, 8 Nov 2009 00:29:41 GMT",
"version": "v2"
},
{
"created": "Sun, 16 May 2010 13:08:24 GMT",
"version": "v3"
},
{
"created": "Fri, 16 Jul 2010 21:38:03 GMT",
"version": "v4"
}
] |
2011-03-04
|
[
[
"Kruglov",
"S. I.",
""
]
] |
We obtain the canonical and symmetrical Belinfante energy-momentum tensors of Dirac--K\"{a}hler's fields. It is shown that the traces of the energy-momentum tensors are not equal to zero. We find the canonical and Belinfante dilatation currents which are not conserved, but a new conserved dilatation current is obtained. It is pointed out that the conformal symmetry is broken. The canonical quantization is performed and the propagator of the massless fields in the first-order formalism is found.
| 7.380618 | 6.127532 | 6.533772 | 5.651482 | 5.842249 | 5.970192 | 5.800053 | 5.753196 | 5.597219 | 7.889971 | 5.66268 | 6.178217 | 6.672422 | 6.506717 | 6.35802 | 6.448066 | 6.343727 | 6.566239 | 6.389103 | 6.357587 | 6.328211 |
hep-th/0506200
|
Stefano Kovacs
|
Michael B. Green, Stefano Kovacs and Aninda Sinha
|
Non-perturbative effects in the BMN limit of N=4 supersymmetric
Yang-Mills
|
52 pages, no figures, latex; V2: minor changes
|
JHEP 0512 (2005) 038
|
10.1088/1126-6708/2005/12/038
|
DAMTP-2005-53, AEI-2004-059
|
hep-th
| null |
One-instanton contributions to the correlation functions of two
gauge-invariant single-trace operators in N=4 SU(N) Yang-Mills theory are
studied in semi-classical approximation in the BMN limit. The most
straightforward examples involve operators with four bosonic impurities. The
explicit form for the correlation functions, which determine the anomalous
dimensions, follows after integration over the large number of bosonic and
fermionic moduli. Our results demonstrate that the instanton contributions
scale appropriately in the BMN limit. We find impressive agreement with the
D-instanton contributions to mass matrix elements of the dual plane-wave IIB
superstring theory, obtained in a previous paper. Not only does the dependence
on the scaled coupling constants match, but the dependence on the mode numbers
of the states is also in striking agreement.
|
[
{
"created": "Fri, 24 Jun 2005 19:46:21 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Mar 2006 10:38:09 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Green",
"Michael B.",
""
],
[
"Kovacs",
"Stefano",
""
],
[
"Sinha",
"Aninda",
""
]
] |
One-instanton contributions to the correlation functions of two gauge-invariant single-trace operators in N=4 SU(N) Yang-Mills theory are studied in semi-classical approximation in the BMN limit. The most straightforward examples involve operators with four bosonic impurities. The explicit form for the correlation functions, which determine the anomalous dimensions, follows after integration over the large number of bosonic and fermionic moduli. Our results demonstrate that the instanton contributions scale appropriately in the BMN limit. We find impressive agreement with the D-instanton contributions to mass matrix elements of the dual plane-wave IIB superstring theory, obtained in a previous paper. Not only does the dependence on the scaled coupling constants match, but the dependence on the mode numbers of the states is also in striking agreement.
| 10.087549 | 9.531601 | 11.023126 | 9.061756 | 9.278308 | 9.14674 | 9.289618 | 8.934575 | 8.730567 | 11.300443 | 9.002586 | 9.323632 | 10.330839 | 9.070724 | 9.029066 | 9.336336 | 9.224892 | 9.227932 | 8.94107 | 9.815554 | 9.285913 |
hep-th/9408176
|
Valeri Dvoeglazov
|
Valeri Dvoeglazov (Universidad Autonoma de Zacatecas)
|
The Weinberg Propagators
|
HPATEX.STY used, 6pp
|
Helv.Phys.Acta 70:697-702,1997
| null |
EFUAZ FT-94-07-REV
|
hep-th
| null |
An analog of the $j=1/2$ Feynman-Dyson propagator is presented in the
framework of the $j=1$ Weinberg's theory. The basis for this construction is
the concept of the Weinberg field as a system of four field functions differing
by parity and by dual transformations.
|
[
{
"created": "Wed, 31 Aug 1994 22:52:04 GMT",
"version": "v1"
},
{
"created": "Sun, 7 Sep 1997 00:18:10 GMT",
"version": "v2"
}
] |
2011-04-20
|
[
[
"Dvoeglazov",
"Valeri",
"",
"Universidad Autonoma de Zacatecas"
]
] |
An analog of the $j=1/2$ Feynman-Dyson propagator is presented in the framework of the $j=1$ Weinberg's theory. The basis for this construction is the concept of the Weinberg field as a system of four field functions differing by parity and by dual transformations.
| 15.95187 | 12.69459 | 14.637198 | 13.146996 | 14.487089 | 14.090659 | 11.82346 | 13.637099 | 12.511009 | 15.562646 | 12.6091 | 12.715424 | 12.53328 | 12.798655 | 12.591941 | 13.386292 | 12.53745 | 12.896833 | 12.570724 | 13.357334 | 13.212015 |
2109.08551
|
Varun Gupta
|
Varun Gupta
|
Holographic M5 branes in $AdS_7\times S^4$
|
19 pages; latest version
|
JHEP12(2021)
|
10.1007/JHEP12(2021)032
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We study classical M5 brane solutions in the probe limit in the $AdS_7\times
S^4$ background geometry that preserve the minimal amount of supersymmetry.
These solutions describe the holography of codimension-2 defects in the 6d
boundary dual N=(0,2) supersymmetric gauge theories. The general solution is
described in terms of holomorphic functions that satisfy a scaling condition.
We show the behavior of the world-volume of a special class of BPS solutions
near the AdS boundary region can be characterized by general equations, which
describe it as intersections of the zeros of holomorphic functions in three
complex variables with a 5-sphere.
|
[
{
"created": "Fri, 17 Sep 2021 13:52:42 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Sep 2021 07:54:01 GMT",
"version": "v2"
},
{
"created": "Wed, 24 Nov 2021 06:11:48 GMT",
"version": "v3"
},
{
"created": "Sat, 21 Jan 2023 19:46:46 GMT",
"version": "v4"
}
] |
2023-01-24
|
[
[
"Gupta",
"Varun",
""
]
] |
We study classical M5 brane solutions in the probe limit in the $AdS_7\times S^4$ background geometry that preserve the minimal amount of supersymmetry. These solutions describe the holography of codimension-2 defects in the 6d boundary dual N=(0,2) supersymmetric gauge theories. The general solution is described in terms of holomorphic functions that satisfy a scaling condition. We show the behavior of the world-volume of a special class of BPS solutions near the AdS boundary region can be characterized by general equations, which describe it as intersections of the zeros of holomorphic functions in three complex variables with a 5-sphere.
| 11.126171 | 8.564679 | 11.373026 | 9.44109 | 9.252457 | 8.658863 | 8.840816 | 9.3656 | 9.5217 | 13.245688 | 9.124165 | 9.750201 | 10.981133 | 10.162973 | 9.901941 | 10.08339 | 10.041636 | 10.318158 | 9.859152 | 10.671517 | 9.687864 |
hep-th/0407182
|
Subodh Patil
|
Subodh P Patil
|
D0 Matrix Mechanics: Topological Dynamics of Fuzzy Spaces
|
21 pages, 2 figures, followup to hep-th/0406219, references added,
minor modifications made
| null | null | null |
hep-th
| null |
We consider the physics of a matrix model describing D0-brane dynamics in the
presence of an RR flux background. Non-commuting spaces arise as generic
soltions to this matrix model, among which fuzzy spheres have been studied
extensively as static solutions at finite N. The existence of topologicaly
distinct static configurations suggests the possibility of D-brane topology
change within this model, however a dynamical solution interpolating between
topologies is still somewhat elusive. In this paper, we study this model in the
limit of infinite dimensional matrices, where new solutions-- the fuzzy
cylinder and the fuzzy plane among them-- appear. We argue that any dynamics
which involves topology change will likely only occur in this limit, after
which we study the decay of a fuzzy cylinder into an infinite collection of
fuzzy spheres as both a classical and a quantum phenomenon. We conclude from
this excercise that in certain limits, matrix models offer a viable framework
in which to study topological dynamics, and could perhaps be a precursor to a
viable theory of space-time topological dynamics.
|
[
{
"created": "Wed, 21 Jul 2004 09:23:39 GMT",
"version": "v1"
},
{
"created": "Sat, 18 Dec 2004 00:32:57 GMT",
"version": "v2"
},
{
"created": "Tue, 19 Apr 2005 07:28:28 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Patil",
"Subodh P",
""
]
] |
We consider the physics of a matrix model describing D0-brane dynamics in the presence of an RR flux background. Non-commuting spaces arise as generic soltions to this matrix model, among which fuzzy spheres have been studied extensively as static solutions at finite N. The existence of topologicaly distinct static configurations suggests the possibility of D-brane topology change within this model, however a dynamical solution interpolating between topologies is still somewhat elusive. In this paper, we study this model in the limit of infinite dimensional matrices, where new solutions-- the fuzzy cylinder and the fuzzy plane among them-- appear. We argue that any dynamics which involves topology change will likely only occur in this limit, after which we study the decay of a fuzzy cylinder into an infinite collection of fuzzy spheres as both a classical and a quantum phenomenon. We conclude from this excercise that in certain limits, matrix models offer a viable framework in which to study topological dynamics, and could perhaps be a precursor to a viable theory of space-time topological dynamics.
| 14.237886 | 14.886237 | 15.403494 | 14.474878 | 14.286685 | 14.686526 | 14.498077 | 14.8735 | 13.631111 | 17.606569 | 14.200435 | 13.97534 | 13.843542 | 13.176223 | 13.259892 | 14.044971 | 13.680788 | 13.398791 | 13.610356 | 13.555799 | 13.424071 |
hep-th/0602278
|
Pedro Resco
|
C\'esar G\'omez, Sergio Monta\~nez, Pedro Resco
|
Minimal strings and Semiclassical Expansion
|
12 pages. No figures. Contribution to RTN Corfu conference
"Constituents, Fundamental Forces and Symmetries of the Universe" September
20-26 2005
| null | null |
IFT-UAM/CSIC-06-11
|
hep-th
| null |
The target space of minimal $(2,2m-1)$ strings is embedded into the phase
space of an integrable mechanical model. Quantum effects on the target space
correspond to quantum corrections on the mechanical model. In particular double
scaling is equivalent to standard uniform approximation at the classical
turning points ot the mechanical model. After adding ZZ brane perturbations the
quantum target remains smooth and topologically trivial. Around the ZZ brane
singularities the Baker-Ahkiezer wave function is given in terms of the
parabollic cylinder function.
|
[
{
"created": "Mon, 27 Feb 2006 12:31:39 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Gómez",
"César",
""
],
[
"Montañez",
"Sergio",
""
],
[
"Resco",
"Pedro",
""
]
] |
The target space of minimal $(2,2m-1)$ strings is embedded into the phase space of an integrable mechanical model. Quantum effects on the target space correspond to quantum corrections on the mechanical model. In particular double scaling is equivalent to standard uniform approximation at the classical turning points ot the mechanical model. After adding ZZ brane perturbations the quantum target remains smooth and topologically trivial. Around the ZZ brane singularities the Baker-Ahkiezer wave function is given in terms of the parabollic cylinder function.
| 20.828974 | 21.46847 | 31.196962 | 19.686262 | 25.211294 | 21.353256 | 21.517464 | 20.370998 | 20.504776 | 29.957895 | 19.622469 | 19.275215 | 20.47743 | 19.613297 | 21.088076 | 19.986534 | 21.252735 | 20.268768 | 20.271097 | 22.366472 | 20.098873 |
1211.4587
|
Masahito Yamazaki
|
Jonathan J. Heckman, Cumrun Vafa, Dan Xie and Masahito Yamazaki
|
String Theory Origin of Bipartite SCFTs
|
45 pages, 18 figures, v2: published version in JHEP
|
JHEP 1305:148,2013
|
10.1007/JHEP05(2013)148
|
PUPT-2429
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We provide a string theory embedding for N = 1 superconformal field theories
defined by bipartite graphs inscribed on a disk. We realize these theories by
exploiting the close connection with related N = 2 generalized (A_(k-1),
A_(n-1)) Argyres-Douglas theories. The N = 1 theory is obtained from spacetime
filling D5-branes wrapped on an algebraic curve and NS5-branes wrapped on
special Lagrangians of C^2 which intersect along the BPS flow lines of the
corresponding N = 2 Argyres-Douglas theory. Dualities of the N = 1 field theory
follow from geometric deformations of the brane configuration which leave the
UV boundary conditions fixed. In particular we show how to recover the
classification of IR fixed points from cells of the totally non-negative
Grassmannian Gr^(tnn)_(k,n+k). Additionally, we present evidence that in the 3D
theory obtained from dimensional reduction on a circle, VEVs of line operators
given by D3-branes wrapped over faces of the bipartite graph specify a
coordinate system for Gr^(tnn)_(k,n+k).
|
[
{
"created": "Mon, 19 Nov 2012 21:01:23 GMT",
"version": "v1"
},
{
"created": "Thu, 30 May 2013 00:06:05 GMT",
"version": "v2"
}
] |
2013-05-31
|
[
[
"Heckman",
"Jonathan J.",
""
],
[
"Vafa",
"Cumrun",
""
],
[
"Xie",
"Dan",
""
],
[
"Yamazaki",
"Masahito",
""
]
] |
We provide a string theory embedding for N = 1 superconformal field theories defined by bipartite graphs inscribed on a disk. We realize these theories by exploiting the close connection with related N = 2 generalized (A_(k-1), A_(n-1)) Argyres-Douglas theories. The N = 1 theory is obtained from spacetime filling D5-branes wrapped on an algebraic curve and NS5-branes wrapped on special Lagrangians of C^2 which intersect along the BPS flow lines of the corresponding N = 2 Argyres-Douglas theory. Dualities of the N = 1 field theory follow from geometric deformations of the brane configuration which leave the UV boundary conditions fixed. In particular we show how to recover the classification of IR fixed points from cells of the totally non-negative Grassmannian Gr^(tnn)_(k,n+k). Additionally, we present evidence that in the 3D theory obtained from dimensional reduction on a circle, VEVs of line operators given by D3-branes wrapped over faces of the bipartite graph specify a coordinate system for Gr^(tnn)_(k,n+k).
| 8.841615 | 8.814201 | 10.197143 | 8.959188 | 8.742283 | 9.70659 | 8.686258 | 9.107529 | 9.125133 | 12.045405 | 8.89621 | 8.757675 | 9.526833 | 8.766716 | 9.085671 | 9.298439 | 8.745646 | 8.774928 | 9.233479 | 10.024884 | 9.045278 |
hep-th/0611084
|
Allan Adams
|
Allan Adams, Morten Ernebjerg and Joshua M. Lapan
|
Linear Models for Flux Vacua
|
30 pages, latex
|
Adv.Theor.Math.Phys.12:817-851,2008
| null |
HUTP-06/A0045, MIT-CTP 3785
|
hep-th
| null |
We construct worldsheet descriptions of heterotic flux vacua as the IR limits
of N=2 gauge theories. Spacetime torsion is incorporated via a 2d Green-Schwarz
mechanism in which a doublet of axions cancels a one-loop gauge anomaly.
Manifest (0,2) supersymmetry and the compactness of the gauge theory instanton
moduli space suggest that these models, which include Fu-Yau models, are stable
against worldsheet instanton effects, implying that they, like Calabi-Yaus, may
be smoothly extended to solutions of the exact beta functions. Since Fu-Yau
compactifications are dual to KST-type flux compactifications, this provides a
microscopic description of these IIB RR-flux vacua.
|
[
{
"created": "Wed, 8 Nov 2006 20:40:26 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Adams",
"Allan",
""
],
[
"Ernebjerg",
"Morten",
""
],
[
"Lapan",
"Joshua M.",
""
]
] |
We construct worldsheet descriptions of heterotic flux vacua as the IR limits of N=2 gauge theories. Spacetime torsion is incorporated via a 2d Green-Schwarz mechanism in which a doublet of axions cancels a one-loop gauge anomaly. Manifest (0,2) supersymmetry and the compactness of the gauge theory instanton moduli space suggest that these models, which include Fu-Yau models, are stable against worldsheet instanton effects, implying that they, like Calabi-Yaus, may be smoothly extended to solutions of the exact beta functions. Since Fu-Yau compactifications are dual to KST-type flux compactifications, this provides a microscopic description of these IIB RR-flux vacua.
| 12.75209 | 12.914889 | 15.471951 | 13.194799 | 13.48151 | 14.357159 | 15.056153 | 12.954001 | 12.839015 | 18.484167 | 12.682196 | 13.426241 | 14.238994 | 12.296508 | 12.420896 | 12.634144 | 13.088606 | 12.418831 | 12.241882 | 13.854158 | 12.712049 |
1907.05192
|
Kiril Hristov
|
Kiril Hristov, Stefanos Katmadas, Chiara Toldo
|
Matter-coupled supersymmetric Kerr-Newman-AdS$_4$ black holes
|
6 pages, corrected sign mistakes in published version
|
Phys. Rev. D 100, 066016 (2019)
|
10.1103/PhysRevD.100.066016
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present new analytic rotating AdS$_4$ black holes, found as solutions of
4d gauged $\mathcal{N}=2$ supergravity coupled to abelian vector multiplets
with a symmetric scalar manifold. These configurations preserve two real
supercharges and have a smooth limit to the BPS Kerr-Newman-AdS$_4$ black hole.
We spell out the solution of the $STU$ model admitting an uplift to M-theory on
S$^7$. We identify an entropy function, which upon extremization gives the
black hole entropy, to be holographically reproduced by the leading $N$
contribution of the generalized superconformal index of the dual theory.
|
[
{
"created": "Thu, 11 Jul 2019 13:46:39 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Oct 2019 16:56:00 GMT",
"version": "v2"
}
] |
2019-10-09
|
[
[
"Hristov",
"Kiril",
""
],
[
"Katmadas",
"Stefanos",
""
],
[
"Toldo",
"Chiara",
""
]
] |
We present new analytic rotating AdS$_4$ black holes, found as solutions of 4d gauged $\mathcal{N}=2$ supergravity coupled to abelian vector multiplets with a symmetric scalar manifold. These configurations preserve two real supercharges and have a smooth limit to the BPS Kerr-Newman-AdS$_4$ black hole. We spell out the solution of the $STU$ model admitting an uplift to M-theory on S$^7$. We identify an entropy function, which upon extremization gives the black hole entropy, to be holographically reproduced by the leading $N$ contribution of the generalized superconformal index of the dual theory.
| 7.529522 | 7.084509 | 10.689141 | 7.287068 | 7.056005 | 6.57679 | 6.749251 | 6.981134 | 7.143748 | 9.594291 | 7.132876 | 7.037003 | 8.077356 | 7.003913 | 6.938814 | 7.215037 | 7.105527 | 6.961861 | 6.864811 | 8.075979 | 7.001771 |
hep-th/9410092
|
H. Sato
|
Haru-Tada Sato and Hisao Suzuki
|
On Bogoliubov Transformation of Scalar Wave Functions in De Sitter Space
|
16 pages, OU-HET 202, LMU-TPW 94-13
|
Mod.Phys.Lett. A9 (1994) 3673-3684
|
10.1142/S0217732394003518
| null |
hep-th
| null |
We discuss the Bogoliubov transformation of the scalar wave functions caused
by the change of coordinates in 4 dimensional de Sitter space. It is shown that
the exact Bogoliubov coefficients can be obtained from the global coordinates
to the static coordinates where there exist manifest horizon. We consider two
type of global coordinates. In one global coordinates, it is shown that the
Bogoliubov transformation to the static coordinates can be expressed by the
discontinuous integral of Weber and Schafheitlin. The positive and negative
energy states in the global coordinates degenerate in the static coordinates.
In the other global coordinates, we obtain the Bogoliubov coefficients by using
the analytic continuation of the hypergeometric functions in two variables.
|
[
{
"created": "Thu, 13 Oct 1994 09:33:01 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Sato",
"Haru-Tada",
""
],
[
"Suzuki",
"Hisao",
""
]
] |
We discuss the Bogoliubov transformation of the scalar wave functions caused by the change of coordinates in 4 dimensional de Sitter space. It is shown that the exact Bogoliubov coefficients can be obtained from the global coordinates to the static coordinates where there exist manifest horizon. We consider two type of global coordinates. In one global coordinates, it is shown that the Bogoliubov transformation to the static coordinates can be expressed by the discontinuous integral of Weber and Schafheitlin. The positive and negative energy states in the global coordinates degenerate in the static coordinates. In the other global coordinates, we obtain the Bogoliubov coefficients by using the analytic continuation of the hypergeometric functions in two variables.
| 8.016535 | 8.126522 | 7.223485 | 7.278986 | 8.029031 | 8.623417 | 8.673746 | 7.333617 | 7.276821 | 8.567612 | 7.574848 | 6.860778 | 7.358582 | 7.472962 | 7.556957 | 7.5725 | 7.233294 | 7.463309 | 7.389738 | 7.387285 | 7.237108 |
1106.5400
|
Warren Siegel
|
Warren Siegel
|
Yang-Mills by dimensionally reducing Chern-Simons
|
4 pages
| null | null |
YITP-SB-11-20
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive the usual first-order form of the Yang-Mills action in arbitrary
dimensions by dimensional reduction from a Chern-Simons-like action. The
antisymmetric tensor auxiliary field of the first-order action appears as a
gauge field for the extra dimensions. The higher-dimensional geometry was
introduced in our previous paper by adding dimensions "dual" to spin, as
suggested by the superstring's affine Lie algebra.
|
[
{
"created": "Mon, 27 Jun 2011 14:22:35 GMT",
"version": "v1"
}
] |
2011-06-28
|
[
[
"Siegel",
"Warren",
""
]
] |
We derive the usual first-order form of the Yang-Mills action in arbitrary dimensions by dimensional reduction from a Chern-Simons-like action. The antisymmetric tensor auxiliary field of the first-order action appears as a gauge field for the extra dimensions. The higher-dimensional geometry was introduced in our previous paper by adding dimensions "dual" to spin, as suggested by the superstring's affine Lie algebra.
| 15.660354 | 13.754966 | 12.509693 | 11.907215 | 14.753677 | 12.850312 | 13.906882 | 12.911684 | 13.135517 | 14.743539 | 12.550999 | 13.459548 | 14.66043 | 13.257622 | 14.283052 | 13.517796 | 13.711516 | 12.645201 | 13.461515 | 14.702921 | 12.633566 |
1305.5144
|
Herbert Weigel
|
N. Graham, M. Quandt, H. Weigel
|
Attractive Electromagnetic Casimir Stress on a Spherical Dielectric
Shell
|
Five pages, one figure, pdflatex, matches version to be pusblished in
Phys Lett B
|
Phys. Lett. B726 (2013) 846
|
10.1016/j.physletb.2013.09.025
| null |
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Based on calculations involving an idealized boundary condition, it has long
been assumed that the stress on a spherical conducting shell is repulsive. We
use the more realistic case of a Drude dielectric to show that the stress is
attractive, matching the generic behavior of Casimir forces in
electromagnetism. We trace the discrepancy between these two cases to
interactions between the electromagnetic quantum fluctuations and the
dielectric material.
|
[
{
"created": "Wed, 22 May 2013 14:17:37 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Sep 2013 18:40:30 GMT",
"version": "v2"
}
] |
2013-10-16
|
[
[
"Graham",
"N.",
""
],
[
"Quandt",
"M.",
""
],
[
"Weigel",
"H.",
""
]
] |
Based on calculations involving an idealized boundary condition, it has long been assumed that the stress on a spherical conducting shell is repulsive. We use the more realistic case of a Drude dielectric to show that the stress is attractive, matching the generic behavior of Casimir forces in electromagnetism. We trace the discrepancy between these two cases to interactions between the electromagnetic quantum fluctuations and the dielectric material.
| 14.810662 | 10.809337 | 14.177452 | 11.134506 | 11.655739 | 11.958413 | 11.739375 | 11.664529 | 12.415626 | 14.530332 | 12.484359 | 11.379536 | 12.150685 | 11.344447 | 11.696078 | 11.616726 | 11.385826 | 10.832196 | 11.743879 | 12.096136 | 11.741206 |
hep-th/9708121
|
Janos Polonyi
|
Pierre Gosselin, Janos Polonyi
|
Path Integral for Relativistic Equations of Motion
|
20 pages, LaTex. Final version, to appear in Annals of Physics
|
Annals Phys. 268 (1998) 207-224
|
10.1006/aphy.1998.5828
| null |
hep-th quant-ph
| null |
A non-Grassmanian path integral representation is given for the solution of
the Klein-Gordon and the Dirac equations. The trajectories of the path integral
are rendered differentiable by the relativistic corrections. The
nonrelativistic limit is briefly discussed from the point of view of the
renormalization group.
|
[
{
"created": "Fri, 22 Aug 1997 19:42:36 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Mar 1998 09:16:43 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Gosselin",
"Pierre",
""
],
[
"Polonyi",
"Janos",
""
]
] |
A non-Grassmanian path integral representation is given for the solution of the Klein-Gordon and the Dirac equations. The trajectories of the path integral are rendered differentiable by the relativistic corrections. The nonrelativistic limit is briefly discussed from the point of view of the renormalization group.
| 9.437912 | 7.496094 | 8.757875 | 8.233868 | 8.046517 | 7.974846 | 8.263943 | 8.492442 | 7.751125 | 9.28694 | 8.160191 | 8.044765 | 8.814025 | 8.370524 | 8.168268 | 8.257831 | 8.319567 | 8.124523 | 8.328678 | 8.493172 | 8.092216 |
hep-th/9303175
|
Dieter L\"ust
|
Dieter Luest
|
Cosmological String Backgrounds
|
19 pages + 1 figure, CERN-TH.6850/93
| null | null | null |
hep-th gr-qc
| null |
Talk given at the ``4th Hellenic School on Elementary Particle Physics",
Corfu, 2-20 September 1992: The propagation of strings in cosmological
space-time backgrounds is reviewed. We show the relation of a special class of
cosmological backgrounds to exact conformal field theory. Particular emphasis
is put on the singularity structure of the cosmological space-time and on the
discrete duality symmetries of the string background.
|
[
{
"created": "Wed, 31 Mar 1993 17:05:30 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Luest",
"Dieter",
""
]
] |
Talk given at the ``4th Hellenic School on Elementary Particle Physics", Corfu, 2-20 September 1992: The propagation of strings in cosmological space-time backgrounds is reviewed. We show the relation of a special class of cosmological backgrounds to exact conformal field theory. Particular emphasis is put on the singularity structure of the cosmological space-time and on the discrete duality symmetries of the string background.
| 8.512483 | 6.637647 | 7.42367 | 6.501581 | 6.980497 | 7.158614 | 6.707366 | 6.860672 | 6.861446 | 8.816261 | 7.081372 | 7.102796 | 7.008794 | 6.824963 | 6.762535 | 6.573847 | 6.893365 | 6.927329 | 7.066838 | 7.1744 | 6.975207 |
0901.0737
|
Olivera Miskovic
|
Olivera Miskovic and Jorge Zanelli
|
Couplings between Chern-Simons gravities and 2p-branes
|
29 pages, no figures; version accepted in PRD; extended introduction
and several references added; some sections have been reorganized and several
minor corrections made
|
Phys.Rev.D80:044003,2009
|
10.1103/PhysRevD.80.044003
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The interaction between Chern-Simons (CS) theories and localized external
sources (2p-branes) is analyzed. This interaction generalizes the minimal
coupling between a point charge (0-brane) and a gauge connection. The external
currents that define the 2p-branes are covariantly constant (D-2p-1)-forms
coupled to (2p-1) CS forms. The general expression for the sources --charged
with respect to the corresponding gauge algebra-- is presented, focusing on two
special cases: 0-branes and (D-3)-branes.
In any dimension, 0-branes are constructed as topological defects produced by
a surface deficit of (D-2)-sphere in AdS space, and they are not constant
curvature spaces for D>3. They correspond to dimensionally continued black
holes with negative mass.
On the other hand, in the case of CS (super) gravities, the (D-3)-branes are
naked conical singularities (topological defects) obtained by identification of
points with a Killing vector. In 2+1 dimensions, extremal spinning branes of
this type are BPS states. Stable (D-3)-branes are shown to exist also in higher
dimensions, as well.
Classical field equations are also discussed and in the presence of sources
there is a large number of inequivalent and disconnected sectors in solution
space.
|
[
{
"created": "Tue, 6 Jan 2009 23:25:35 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Apr 2009 00:57:13 GMT",
"version": "v2"
},
{
"created": "Tue, 28 Jul 2009 01:51:23 GMT",
"version": "v3"
}
] |
2009-08-18
|
[
[
"Miskovic",
"Olivera",
""
],
[
"Zanelli",
"Jorge",
""
]
] |
The interaction between Chern-Simons (CS) theories and localized external sources (2p-branes) is analyzed. This interaction generalizes the minimal coupling between a point charge (0-brane) and a gauge connection. The external currents that define the 2p-branes are covariantly constant (D-2p-1)-forms coupled to (2p-1) CS forms. The general expression for the sources --charged with respect to the corresponding gauge algebra-- is presented, focusing on two special cases: 0-branes and (D-3)-branes. In any dimension, 0-branes are constructed as topological defects produced by a surface deficit of (D-2)-sphere in AdS space, and they are not constant curvature spaces for D>3. They correspond to dimensionally continued black holes with negative mass. On the other hand, in the case of CS (super) gravities, the (D-3)-branes are naked conical singularities (topological defects) obtained by identification of points with a Killing vector. In 2+1 dimensions, extremal spinning branes of this type are BPS states. Stable (D-3)-branes are shown to exist also in higher dimensions, as well. Classical field equations are also discussed and in the presence of sources there is a large number of inequivalent and disconnected sectors in solution space.
| 10.361207 | 10.508674 | 10.987833 | 10.175043 | 10.622512 | 11.580404 | 10.533832 | 9.983836 | 10.540542 | 11.844355 | 9.990089 | 10.243824 | 10.259452 | 9.787709 | 10.253884 | 10.336292 | 10.078613 | 10.255536 | 10.139391 | 10.143369 | 10.258378 |
1002.4758
|
Ulrich Theis
|
Ulrich Theis
|
Free Lunch from T-Duality
|
19 pages, 2 figures. v2: major revision, extended solution-generating
method, new examples, references added
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a simple method of generating solutions to Einstein gravity
coupled to a dilaton and a 2-form gauge potential in n dimensions, starting
from an arbitrary (n-m)-dimensional Ricci-flat metric with m commuting Killing
vectors. It essentially consists of a particular combination of coordinate
transformations and T-duality and is related to the so-called null Melvin
twists and TsT transformations. Examples obtained in this way include two
charged black strings in five dimensions and a finite action configuration in
three dimensions derived from empty flat space. The latter leads us to amend
the effective action by a specific boundary term required for it to admit
solutions with positive action. An extension of our method involving an
S-duality transformation that is applicable to four-dimensional seed metrics
produces further nontrivial solutions in five dimensions.
|
[
{
"created": "Thu, 25 Feb 2010 11:20:44 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Apr 2010 12:22:48 GMT",
"version": "v2"
}
] |
2015-03-13
|
[
[
"Theis",
"Ulrich",
""
]
] |
We consider a simple method of generating solutions to Einstein gravity coupled to a dilaton and a 2-form gauge potential in n dimensions, starting from an arbitrary (n-m)-dimensional Ricci-flat metric with m commuting Killing vectors. It essentially consists of a particular combination of coordinate transformations and T-duality and is related to the so-called null Melvin twists and TsT transformations. Examples obtained in this way include two charged black strings in five dimensions and a finite action configuration in three dimensions derived from empty flat space. The latter leads us to amend the effective action by a specific boundary term required for it to admit solutions with positive action. An extension of our method involving an S-duality transformation that is applicable to four-dimensional seed metrics produces further nontrivial solutions in five dimensions.
| 14.106821 | 11.641367 | 14.881563 | 11.875923 | 14.465776 | 12.765512 | 12.81173 | 12.285291 | 12.121807 | 16.552771 | 12.089739 | 12.695901 | 13.344888 | 13.015331 | 12.97753 | 12.419271 | 12.620268 | 12.806133 | 12.758004 | 13.833011 | 12.556445 |
1108.1213
|
Joseph Polchinski
|
Ahmed Almuhairi and Joseph Polchinski
|
Magnetic AdS x R^2: Supersymmetry and stability
|
19 pages. v2: Stability analysis corrected following Donos,
Gauntlett, and Pantelidou, arXiv:1112.4195
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study AdS/CFT with a Kaluza-Klein magnetic field in one plane. By
appropriate choice of magnetic U(1), and by balancing the magnetic field
against the background D field, we obtain a supersymmetric field theory. We
find the dual geometry for an AdS_5 to AdS_3 x R^2 example, and we compare the
moduli spaces and entropies. For the entropy, the interactions are important
even at weak coupling. We also consider nonsupersymmetric embeddings of the
U(1), and show that over a regime of parameter space all known instabilities
appear to be absent, aside from a dilaton tadpole that may be removed in a
number of ways.
|
[
{
"created": "Thu, 4 Aug 2011 20:46:40 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Jun 2014 15:09:58 GMT",
"version": "v2"
}
] |
2014-06-26
|
[
[
"Almuhairi",
"Ahmed",
""
],
[
"Polchinski",
"Joseph",
""
]
] |
We study AdS/CFT with a Kaluza-Klein magnetic field in one plane. By appropriate choice of magnetic U(1), and by balancing the magnetic field against the background D field, we obtain a supersymmetric field theory. We find the dual geometry for an AdS_5 to AdS_3 x R^2 example, and we compare the moduli spaces and entropies. For the entropy, the interactions are important even at weak coupling. We also consider nonsupersymmetric embeddings of the U(1), and show that over a regime of parameter space all known instabilities appear to be absent, aside from a dilaton tadpole that may be removed in a number of ways.
| 13.363842 | 12.931956 | 14.1226 | 12.014091 | 13.415661 | 12.923838 | 12.945625 | 12.40389 | 12.237723 | 14.454565 | 12.787909 | 13.405789 | 13.501401 | 12.556023 | 12.713705 | 13.028877 | 12.567057 | 12.821038 | 12.450918 | 13.070173 | 12.557969 |
0712.2434
|
Klaus Larjo
|
Vijay Balasubramanian, Bartlomiej Czech, Yang-Hui He, Klaus Larjo and
Joan Simon
|
Typicality, Black Hole Microstates and Superconformal Field Theories
|
40 pages + 3 appendices, 11 figures
|
JHEP 0803:008,2008
|
10.1088/1126-6708/2008/03/008
|
UPR-1189-T
|
hep-th
| null |
We analyze the structure of heavy multitrace BPS operators in N = 1
superconformal quiver gauge theories that arise on the worldvolume of D3-branes
on an affine toric cone. We exhibit a geometric procedure for counting heavy
mesonic operators with given U(1) charges. We show that for any fixed linear
combination of the U(1) charges, the entropy is maximized when the charges are
in certain ratios. This selects preferred directions in the charge space that
can be determined with the help of a piece of string. We show that almost all
heavy mesonic operators of fixed U(1) charges share a universal structure. This
universality reflects the properties of the dual extremal black holes whose
microstates they create. We also interpret our results in terms of typical
configurations of dual giant gravitons in AdS space.
|
[
{
"created": "Fri, 14 Dec 2007 19:32:46 GMT",
"version": "v1"
}
] |
2009-12-15
|
[
[
"Balasubramanian",
"Vijay",
""
],
[
"Czech",
"Bartlomiej",
""
],
[
"He",
"Yang-Hui",
""
],
[
"Larjo",
"Klaus",
""
],
[
"Simon",
"Joan",
""
]
] |
We analyze the structure of heavy multitrace BPS operators in N = 1 superconformal quiver gauge theories that arise on the worldvolume of D3-branes on an affine toric cone. We exhibit a geometric procedure for counting heavy mesonic operators with given U(1) charges. We show that for any fixed linear combination of the U(1) charges, the entropy is maximized when the charges are in certain ratios. This selects preferred directions in the charge space that can be determined with the help of a piece of string. We show that almost all heavy mesonic operators of fixed U(1) charges share a universal structure. This universality reflects the properties of the dual extremal black holes whose microstates they create. We also interpret our results in terms of typical configurations of dual giant gravitons in AdS space.
| 9.044976 | 9.33423 | 11.205195 | 9.526055 | 10.44101 | 9.294059 | 9.245107 | 9.547149 | 8.931497 | 12.62 | 9.170265 | 9.080598 | 9.466789 | 9.209145 | 9.335287 | 9.15304 | 9.464188 | 8.86417 | 9.251749 | 9.912197 | 9.196575 |
1606.09491
|
Kazem Bitaghsir Fadafan
|
Mahdi Atashi, Kazem Bitaghsir Fadafan and Mitra Farahbodnia
|
Holographic energy loss in non-relativistic backgrounds
|
16 pages, major revision of finite temperature analysis
| null |
10.1140/epjc/s10052-017-4742-8
| null |
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we study some aspects of energy loss in non-relativistic
theories from holography. We analyze the energy lost by a rotating heavy point
particle along a circle of radius $l$ with angular velocity $\omega$ in
theories with general dynamical exponent $z$ and hyperscaling violation
exponent $\theta$. It is shown that this problem provides a novel perspective
on the energy loss in such theories. A general computation at zero and finite
temperature is done and it is shown that how the total energy loss rate depends
non-trivially on two characteristic exponents $(z,\theta)$. We find that at
zero temperature there is a special radius $l_c$ where the energy loss is
independent of different values of $(\theta,z)$. Also at zero temperature,
there is a crossover between a regime in which the energy loss is dominated by
the linear drag force and by the radiation because of the acceleration of the
rotating particle. We find that the energy loss of the particle decreases by
increasing $\theta$ and $z$. We note that, unlike in the zero temperature,
there is no special radius $l_c$ at finite temperature case.
|
[
{
"created": "Thu, 30 Jun 2016 13:56:07 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Dec 2016 06:54:18 GMT",
"version": "v2"
}
] |
2017-04-05
|
[
[
"Atashi",
"Mahdi",
""
],
[
"Fadafan",
"Kazem Bitaghsir",
""
],
[
"Farahbodnia",
"Mitra",
""
]
] |
In this paper, we study some aspects of energy loss in non-relativistic theories from holography. We analyze the energy lost by a rotating heavy point particle along a circle of radius $l$ with angular velocity $\omega$ in theories with general dynamical exponent $z$ and hyperscaling violation exponent $\theta$. It is shown that this problem provides a novel perspective on the energy loss in such theories. A general computation at zero and finite temperature is done and it is shown that how the total energy loss rate depends non-trivially on two characteristic exponents $(z,\theta)$. We find that at zero temperature there is a special radius $l_c$ where the energy loss is independent of different values of $(\theta,z)$. Also at zero temperature, there is a crossover between a regime in which the energy loss is dominated by the linear drag force and by the radiation because of the acceleration of the rotating particle. We find that the energy loss of the particle decreases by increasing $\theta$ and $z$. We note that, unlike in the zero temperature, there is no special radius $l_c$ at finite temperature case.
| 7.086909 | 6.467308 | 7.299213 | 6.337877 | 6.398354 | 6.631931 | 6.392394 | 6.293445 | 6.449425 | 7.7544 | 6.372175 | 6.605661 | 6.850347 | 6.615551 | 6.593691 | 6.535049 | 6.595704 | 6.562389 | 6.518121 | 6.927763 | 6.466421 |
2109.05033
|
Severin L\"ust
|
Severin L\"ust
|
Large complex structure flux vacua of IIB and the Tadpole Conjecture
|
8 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note I demonstrate that certain findings on IIB flux
compactifications in the large complex structure limit, when combined with
recent statistical bounds on the large $h^{2,1}$ limit, are compatible with the
Tadpole Conjecture, contrary to previous claims.
|
[
{
"created": "Fri, 10 Sep 2021 18:00:06 GMT",
"version": "v1"
}
] |
2021-09-14
|
[
[
"Lüst",
"Severin",
""
]
] |
In this note I demonstrate that certain findings on IIB flux compactifications in the large complex structure limit, when combined with recent statistical bounds on the large $h^{2,1}$ limit, are compatible with the Tadpole Conjecture, contrary to previous claims.
| 17.932583 | 11.929961 | 17.389843 | 13.056123 | 14.811337 | 14.415709 | 13.769662 | 10.703068 | 11.942244 | 21.37476 | 12.386321 | 13.779679 | 14.145802 | 13.650595 | 13.670573 | 13.617244 | 13.235126 | 12.874158 | 13.446542 | 13.738353 | 12.949531 |
2001.01785
|
George Savvidy K
|
George Savvidy
|
Maximally chaotic dynamical systems of Anosov-Kolmogorov
|
64 pages, 15 figures, Invited talk at the International Bogolyubov
Conference "Problems of Theoretical and Mathematical Physics" at the Steklov
Mathematical Institute, Moscow-Dubna, September 9-13, 2019
| null |
10.1134/S1063779620040644
|
NRCPS-HE-67-2019
|
hep-th astro-ph.GA hep-lat nlin.CD
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The maximally chaotic K-systems are dynamical systems which have nonzero
Kolmogorov entropy. On the other hand, the hyperbolic dynamical systems that
fulfil the Anosov C-condition have exponential instability of phase
trajectories, mixing of all orders, countable Lebesgue spectrum and positive
Kolmogorov entropy. The C-condition defines a rich class of maximally chaotic
systems which span an open set in the space of all dynamical systems. The
interest in Anosov-Kolmogorov C-K systems is associated with the attempts to
understand the relaxation phenomena, the foundation of the statistical
mechanics, the appearance of turbulence in fluid dynamics, the non-linear
dynamics of the Yang-Mills field as well as the dynamical properties of
gravitating N-body systems and the Black hole thermodynamics. In this respect
of special interest are C-K systems that are defined on Reimannian manifolds of
negative sectional curvature and on a high-dimensional tori. Here we shall
review the classical- and quantum-mechanical properties of maximally chaotic
dynamical systems, the application of the C-K theory to the investigation of
the Yang-Mills dynamics and gravitational systems as well as their application
in the Monte Carlo method.
|
[
{
"created": "Mon, 6 Jan 2020 21:41:13 GMT",
"version": "v1"
}
] |
2020-10-28
|
[
[
"Savvidy",
"George",
""
]
] |
The maximally chaotic K-systems are dynamical systems which have nonzero Kolmogorov entropy. On the other hand, the hyperbolic dynamical systems that fulfil the Anosov C-condition have exponential instability of phase trajectories, mixing of all orders, countable Lebesgue spectrum and positive Kolmogorov entropy. The C-condition defines a rich class of maximally chaotic systems which span an open set in the space of all dynamical systems. The interest in Anosov-Kolmogorov C-K systems is associated with the attempts to understand the relaxation phenomena, the foundation of the statistical mechanics, the appearance of turbulence in fluid dynamics, the non-linear dynamics of the Yang-Mills field as well as the dynamical properties of gravitating N-body systems and the Black hole thermodynamics. In this respect of special interest are C-K systems that are defined on Reimannian manifolds of negative sectional curvature and on a high-dimensional tori. Here we shall review the classical- and quantum-mechanical properties of maximally chaotic dynamical systems, the application of the C-K theory to the investigation of the Yang-Mills dynamics and gravitational systems as well as their application in the Monte Carlo method.
| 9.395981 | 9.78261 | 10.431926 | 9.269025 | 10.070371 | 9.787525 | 9.184473 | 9.807086 | 8.956002 | 11.364024 | 9.60626 | 9.505505 | 9.119447 | 9.524343 | 9.186584 | 9.503368 | 9.408673 | 9.401767 | 9.229652 | 9.189981 | 9.04118 |
hep-th/0406131
|
Anatoly Konechny
|
A. Giveon, A. Konechny, E. Rabinovici, A. Sever
|
On Thermodynamical Properties of Some Coset CFT Backgrounds
|
1+39 pages, harvmac, 8 eps figures
|
JHEP 0407 (2004) 076
|
10.1088/1126-6708/2004/07/076
|
RI-04-04
|
hep-th
| null |
We investigate the thermodynamical features of two Lorentzian signature
backgrounds that arise in string theory as exact CFTs and possess more than two
disconnected asymptotic regions: the 2-d charged black hole and the
Nappi-Witten cosmological model. We find multiple smooth disconnected Euclidean
versions of the charged black hole background. They are characterized by
different temperatures and electro-chemical potentials. We show that there is
no straightforward analog of the Hartle-Hawking state that would express these
thermodynamical features. We also obtain multiple Euclidean versions of the
Nappi-Witten cosmological model and study their singularity structure. It
suggests to associate a non-isotropic temperature with this background.
|
[
{
"created": "Tue, 15 Jun 2004 12:50:58 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Giveon",
"A.",
""
],
[
"Konechny",
"A.",
""
],
[
"Rabinovici",
"E.",
""
],
[
"Sever",
"A.",
""
]
] |
We investigate the thermodynamical features of two Lorentzian signature backgrounds that arise in string theory as exact CFTs and possess more than two disconnected asymptotic regions: the 2-d charged black hole and the Nappi-Witten cosmological model. We find multiple smooth disconnected Euclidean versions of the charged black hole background. They are characterized by different temperatures and electro-chemical potentials. We show that there is no straightforward analog of the Hartle-Hawking state that would express these thermodynamical features. We also obtain multiple Euclidean versions of the Nappi-Witten cosmological model and study their singularity structure. It suggests to associate a non-isotropic temperature with this background.
| 11.293422 | 11.362515 | 13.433792 | 11.179671 | 11.870655 | 12.528494 | 11.522421 | 11.331047 | 10.353394 | 14.301453 | 10.654774 | 10.531527 | 11.941304 | 11.154562 | 10.729046 | 10.996949 | 10.922942 | 11.108536 | 10.588638 | 11.884673 | 10.664937 |
0902.3274
|
Boris Pioline
|
Boris Pioline and Daniel Persson
|
The automorphic NS5-brane
|
51 pages; v3: misprints corrected, clarifications and references
added, final version to appear in CNTP; v4: Eq. 3.12, 3.16, 3.72 corrected,
ref. [38] added, other minor corrections
|
Commun.Num.Theor.Phys.3:697-754,2009
| null | null |
hep-th math.NT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Understanding the implications of SL(2,Z) S-duality for the hypermultiplet
moduli space of type II string theories has led to much progress recently in
uncovering D-instanton contributions. In this work, we suggest that the
extended duality group SL(3,Z), which includes both S-duality and Ehlers
symmetry, may determine the contributions of D5 and NS5-branes. We support this
claim by automorphizing the perturbative corrections to the "extended universal
hypermultiplet", a five-dimensional universal SL(3,R)/SO(3) subspace which
includes the string coupling, overall volume, Ramond zero-form and six-form and
NS axion. Using the non-Abelian Fourier expansion of the Eisenstein series
attached to the principal series of SL(3,R), first worked out by Vinogradov and
Takhtajan 30 years ago, we extract the contributions of D(-1)-D5 and NS5-brane
instantons, corresponding to the Abelian and non-Abelian coefficients,
respectively. In particular, the contributions of k NS5-branes can be
summarized into a vector of wave functions \Psi_{k,l}, l=0... k-1, as expected
on general grounds. We also point out that for more general models with a
symmetric moduli space G/K, the minimal theta series of G generates an infinite
series of exponential corrections of the form required for "small"
D(-1)-D1-D3-D5-NS5 instanton bound states. As a mathematical spin-off, we make
contact with earlier results in the literature about the spherical vectors for
the principal series of SL(3,R) and for minimal representations.
|
[
{
"created": "Wed, 18 Feb 2009 23:50:05 GMT",
"version": "v1"
},
{
"created": "Thu, 14 May 2009 20:04:26 GMT",
"version": "v2"
},
{
"created": "Sun, 1 Nov 2009 17:40:25 GMT",
"version": "v3"
},
{
"created": "Mon, 15 Nov 2010 10:58:22 GMT",
"version": "v4"
}
] |
2010-11-19
|
[
[
"Pioline",
"Boris",
""
],
[
"Persson",
"Daniel",
""
]
] |
Understanding the implications of SL(2,Z) S-duality for the hypermultiplet moduli space of type II string theories has led to much progress recently in uncovering D-instanton contributions. In this work, we suggest that the extended duality group SL(3,Z), which includes both S-duality and Ehlers symmetry, may determine the contributions of D5 and NS5-branes. We support this claim by automorphizing the perturbative corrections to the "extended universal hypermultiplet", a five-dimensional universal SL(3,R)/SO(3) subspace which includes the string coupling, overall volume, Ramond zero-form and six-form and NS axion. Using the non-Abelian Fourier expansion of the Eisenstein series attached to the principal series of SL(3,R), first worked out by Vinogradov and Takhtajan 30 years ago, we extract the contributions of D(-1)-D5 and NS5-brane instantons, corresponding to the Abelian and non-Abelian coefficients, respectively. In particular, the contributions of k NS5-branes can be summarized into a vector of wave functions \Psi_{k,l}, l=0... k-1, as expected on general grounds. We also point out that for more general models with a symmetric moduli space G/K, the minimal theta series of G generates an infinite series of exponential corrections of the form required for "small" D(-1)-D1-D3-D5-NS5 instanton bound states. As a mathematical spin-off, we make contact with earlier results in the literature about the spherical vectors for the principal series of SL(3,R) and for minimal representations.
| 10.496977 | 12.385929 | 13.491458 | 10.848505 | 11.575417 | 11.68214 | 11.218727 | 10.707631 | 11.488214 | 14.120766 | 10.689182 | 10.809061 | 11.274188 | 10.882777 | 10.449287 | 10.907252 | 10.930818 | 10.648427 | 10.918643 | 11.051977 | 10.695177 |
2007.11424
|
Sergey Fedoruk
|
Sergey Fedoruk
|
$\mathcal{N}{=}\,4$ supersymmetric $\mathrm{U}(2)$-spin hyperbolic
Calogero-Sutherland model
|
1+15 pages; v2: comparison of N=2 and N=4 cases added
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The $\mathcal{N}{=}\,4$ supersymmetric $\mathrm{U}(2)$-spin hyperbolic
Calogero-Sutherland model with odd matrix fields is examined. Explicit form of
the $\mathcal{N}{=}\,4$ supersymmetry generators is derived. The Lax
representation for the dynamics of the $\mathcal{N}{=}\,4$ hyperbolic
$\mathrm{U}(2)$-spin Calogero-Sutherland system is found. The reduction to the
$\mathcal{N}{=}\,4$ supersymmetric spinless hyperbolic Calogero-Sutherland
system is established.
|
[
{
"created": "Tue, 21 Jul 2020 14:17:05 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Aug 2020 10:52:50 GMT",
"version": "v2"
}
] |
2020-08-04
|
[
[
"Fedoruk",
"Sergey",
""
]
] |
The $\mathcal{N}{=}\,4$ supersymmetric $\mathrm{U}(2)$-spin hyperbolic Calogero-Sutherland model with odd matrix fields is examined. Explicit form of the $\mathcal{N}{=}\,4$ supersymmetry generators is derived. The Lax representation for the dynamics of the $\mathcal{N}{=}\,4$ hyperbolic $\mathrm{U}(2)$-spin Calogero-Sutherland system is found. The reduction to the $\mathcal{N}{=}\,4$ supersymmetric spinless hyperbolic Calogero-Sutherland system is established.
| 4.199543 | 4.007452 | 4.310567 | 3.639157 | 3.923591 | 3.943936 | 3.916441 | 4.054931 | 4.013764 | 4.812856 | 3.837493 | 3.816119 | 3.967342 | 3.763372 | 3.715274 | 3.66428 | 3.701731 | 3.810911 | 3.783114 | 4.002877 | 3.72473 |
2212.14058
|
Stefano Baiguera
|
Constantin Bachas, Stefano Baiguera, Shira Chapman, Giuseppe
Policastro and Tal Schwartzman
|
Energy Transport for Thick Holographic Branes
|
7 pages, 3 figures; v2: journal version
| null |
10.1103/PhysRevLett.131.021601
| null |
hep-th cond-mat.str-el gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Universal properties of two-dimensional conformal interfaces are encoded by
the flux of energy transmitted and reflected during a scattering process. We
develop an innovative method that allows us to use results for the energy
transmission in thin-brane holographic models to find the energy transmission
for general smooth domain-wall solutions of three-dimensional gravity. Our
method is based on treating the continuous geometry as a discrete set of
branes. As an application, we compute the transmission coefficient of a Janus
interface in terms of its deformation parameter.
|
[
{
"created": "Wed, 28 Dec 2022 19:00:10 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Jul 2023 18:46:17 GMT",
"version": "v2"
}
] |
2023-07-26
|
[
[
"Bachas",
"Constantin",
""
],
[
"Baiguera",
"Stefano",
""
],
[
"Chapman",
"Shira",
""
],
[
"Policastro",
"Giuseppe",
""
],
[
"Schwartzman",
"Tal",
""
]
] |
Universal properties of two-dimensional conformal interfaces are encoded by the flux of energy transmitted and reflected during a scattering process. We develop an innovative method that allows us to use results for the energy transmission in thin-brane holographic models to find the energy transmission for general smooth domain-wall solutions of three-dimensional gravity. Our method is based on treating the continuous geometry as a discrete set of branes. As an application, we compute the transmission coefficient of a Janus interface in terms of its deformation parameter.
| 17.436577 | 16.585106 | 17.715559 | 16.417553 | 15.104825 | 15.637057 | 16.212399 | 14.048105 | 15.239552 | 20.978559 | 14.572638 | 15.811544 | 17.162754 | 16.218861 | 16.056587 | 16.621246 | 15.4886 | 15.88979 | 16.376106 | 17.211651 | 16.459869 |
1711.11007
|
Ruslan Metsaev
|
R.R. Metsaev
|
Continuous-spin mixed-symmetry fields in AdS(5)
|
Comments: 27 pages, v2: Detailed discussion of various properties of
mixed-symmetry and totally symmetric continuous-spin fields in Secs.2-4 added
|
J. Phys. A51, no. 21, 215401 (2018)
|
10.1088/1751-8121/aabcda
|
FIAN-TD-2017-27
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Free mixed-symmetry continuous-spin fields propagating in AdS(5) space and
flat R(4,1) space are studied. In the framework of a light-cone gauge
formulation of relativistic dynamics, we build simple actions for such fields.
Realization of relativistic symmetries on space of light-cone gauge
mixed-symmetry continuous-spin fields is also found. Interrelations between
constant parameters entering the light-cone gauge actions and eigenvalues of
the Casimir operators of space-time symmetry algebras are obtained. Using these
interrelations and requiring that the field dynamics in AdS(5) be irreducible
and classically unitary, we derive restrictions on the constant parameters and
eigenvalues of the 2nd-order Casimir operator of the so(4,2) algebra.
|
[
{
"created": "Wed, 29 Nov 2017 18:32:53 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Apr 2018 16:47:20 GMT",
"version": "v2"
}
] |
2018-04-27
|
[
[
"Metsaev",
"R. R.",
""
]
] |
Free mixed-symmetry continuous-spin fields propagating in AdS(5) space and flat R(4,1) space are studied. In the framework of a light-cone gauge formulation of relativistic dynamics, we build simple actions for such fields. Realization of relativistic symmetries on space of light-cone gauge mixed-symmetry continuous-spin fields is also found. Interrelations between constant parameters entering the light-cone gauge actions and eigenvalues of the Casimir operators of space-time symmetry algebras are obtained. Using these interrelations and requiring that the field dynamics in AdS(5) be irreducible and classically unitary, we derive restrictions on the constant parameters and eigenvalues of the 2nd-order Casimir operator of the so(4,2) algebra.
| 9.04518 | 7.318415 | 8.78095 | 6.916243 | 7.144101 | 6.84103 | 7.112811 | 7.136036 | 7.044035 | 10.588244 | 7.233289 | 7.919725 | 8.499621 | 7.686703 | 7.654267 | 7.584373 | 7.416629 | 7.938832 | 7.453063 | 8.241839 | 7.198304 |
hep-th/9806038
|
Lubna Rana
|
S. James Gates, Jr. and Lubna Rana
|
Superspace Geometrical Representations of Extended Super Virasoro
Algebras
|
13 pages, Latex
|
Phys.Lett. B438 (1998) 80-88
|
10.1016/S0370-2693(98)00937-X
|
UMDEPP 98-114
|
hep-th
| null |
Utilizing sets of super-vector fields (derivations), explicit expressions are
obtained for; (a.) the 1D, N-extended superconformal algebra, (b.) the 1D,
N-extended super Virasoro algebra for N = 1, 2 and 4 and (c.) a geometrical
realization (GR) covering algebra that contains the super Virasoro algebra for
arbitrary values of N. By use of such vector fileds, the super Virasoro algebra
is embedded as a geometrical and model-independent structure in 1D and 2D
Aleph-null-extended superspace.
|
[
{
"created": "Thu, 4 Jun 1998 19:09:02 GMT",
"version": "v1"
}
] |
2012-08-27
|
[
[
"Gates,",
"S. James",
"Jr."
],
[
"Rana",
"Lubna",
""
]
] |
Utilizing sets of super-vector fields (derivations), explicit expressions are obtained for; (a.) the 1D, N-extended superconformal algebra, (b.) the 1D, N-extended super Virasoro algebra for N = 1, 2 and 4 and (c.) a geometrical realization (GR) covering algebra that contains the super Virasoro algebra for arbitrary values of N. By use of such vector fileds, the super Virasoro algebra is embedded as a geometrical and model-independent structure in 1D and 2D Aleph-null-extended superspace.
| 14.549567 | 13.438062 | 16.053755 | 12.439981 | 13.222342 | 12.258831 | 13.46809 | 13.418679 | 12.759956 | 15.870533 | 13.649528 | 12.598139 | 13.577856 | 13.257018 | 13.078629 | 12.97515 | 12.888887 | 13.286641 | 12.839417 | 13.706313 | 13.529668 |
1204.1734
|
Jerome P. Gauntlett
|
Aristomenis Donos and Jerome P. Gauntlett
|
Black holes dual to helical current phases
|
23 pages, 10 figures
| null |
10.1103/PhysRevD.86.064010
|
Imperial/TP/2012/JG/02
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the class of d=4 CFTs at finite temperature and chemical
potential that are holographically described within D=5 Einstein-Maxwell theory
with a Chern-Simons term. The high temperature phase, which is spatially
homogeneous and isotropic, is dual to the AdS-Reissner-Nordstrom black brane
solution. For sufficiently large Chern-Simons coupling, we construct new
electrically charged AdS black hole solutions that are dual to the low
temperature, spatially modulated phase. In this phase the current, associated
with the abelian global symmetry, spontaneously acquires a helical order. The
new black holes are stationary and also have Bianchi VII$_0$ symmetry.
|
[
{
"created": "Sun, 8 Apr 2012 14:46:54 GMT",
"version": "v1"
}
] |
2013-05-30
|
[
[
"Donos",
"Aristomenis",
""
],
[
"Gauntlett",
"Jerome P.",
""
]
] |
We consider the class of d=4 CFTs at finite temperature and chemical potential that are holographically described within D=5 Einstein-Maxwell theory with a Chern-Simons term. The high temperature phase, which is spatially homogeneous and isotropic, is dual to the AdS-Reissner-Nordstrom black brane solution. For sufficiently large Chern-Simons coupling, we construct new electrically charged AdS black hole solutions that are dual to the low temperature, spatially modulated phase. In this phase the current, associated with the abelian global symmetry, spontaneously acquires a helical order. The new black holes are stationary and also have Bianchi VII$_0$ symmetry.
| 6.693302 | 5.641806 | 7.551687 | 6.29246 | 6.260026 | 6.406345 | 5.995982 | 6.125974 | 6.178661 | 7.136973 | 5.578439 | 6.192208 | 6.581563 | 6.191697 | 6.178639 | 6.39845 | 6.04408 | 6.190889 | 6.191177 | 6.398877 | 6.162875 |
1502.02378
|
Chen-Te Ma CTMa
|
Chen-Te Ma
|
Boundary Conditions and the Generalized Metric Formulation of the Double
Sigma Model
|
32 pages, minor changes, references added
| null |
10.1016/j.nuclphysb.2015.06.019
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Double sigma model with the strong constraints is equivalent to the normal
sigma model by imposing the self-duality relation. The gauge symmetries are the
diffeomorphism and one-form gauge transformation with the strong constraints.
We modify the Dirichlet and Neumann boundary conditions with the fully $O(D,
D)$ description from the doubled gauge fields. We perform the one-loop $\beta$
function for the constant background fields to find low energy effective theory
without using the strong constraints. The low energy theory can also be
$O(D,D)$ invariant as the double sigma model. We use the other one way to
construct different boundary conditions from the projectors. Finally, we
combine the antisymmetric background field with the field strength to redefine
a different $O(D, D)$ generalized metric. We use this generalized metric to
construct a consistent double sigma model with the classical and quantum
equivalence. We show the one-loop $\beta$ function for the constant background
fields and obtain the normal sigma model after integrating out the dual
coordinates.
|
[
{
"created": "Mon, 9 Feb 2015 06:42:08 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Feb 2015 18:51:51 GMT",
"version": "v2"
}
] |
2015-12-09
|
[
[
"Ma",
"Chen-Te",
""
]
] |
Double sigma model with the strong constraints is equivalent to the normal sigma model by imposing the self-duality relation. The gauge symmetries are the diffeomorphism and one-form gauge transformation with the strong constraints. We modify the Dirichlet and Neumann boundary conditions with the fully $O(D, D)$ description from the doubled gauge fields. We perform the one-loop $\beta$ function for the constant background fields to find low energy effective theory without using the strong constraints. The low energy theory can also be $O(D,D)$ invariant as the double sigma model. We use the other one way to construct different boundary conditions from the projectors. Finally, we combine the antisymmetric background field with the field strength to redefine a different $O(D, D)$ generalized metric. We use this generalized metric to construct a consistent double sigma model with the classical and quantum equivalence. We show the one-loop $\beta$ function for the constant background fields and obtain the normal sigma model after integrating out the dual coordinates.
| 13.30536 | 12.342135 | 15.026263 | 12.635406 | 13.147232 | 14.139692 | 13.977389 | 12.531404 | 12.780786 | 17.180233 | 13.084007 | 12.807741 | 13.521944 | 13.072433 | 12.934161 | 12.724463 | 12.636589 | 12.77603 | 13.027967 | 13.380286 | 12.805882 |
0804.3321
|
Gabriele Veneziano
|
G. Veneziano and J. Wosiek
|
Exploring an S-matrix for gravitational collapse
|
15 pages, 6 figures
|
JHEP 0809:023,2008
|
10.1088/1126-6708/2008/09/023
|
CERN-PH-TH/2008-076, TPJU - 3/2008
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyze further a recently proposed S-matrix description of transplanckian
scattering in the specific case of axisymmetric collisions of extended sources,
where some of the original approximations are not necessary. We confirm the
claim that such an approximate description appears to capture the essential
features of (the quantum counterpart of) classical gravitational collapse. More
specifically, the S-matrix develops singularities whose location in the
sources' parameter space are consistent with (and numerically close to) the
bounds coming from closed-trapped-surface collapse criteria. In the vicinity of
the critical "lines" the phase of the elastic S-matrix exhibits a universal
fractional-power behaviour reminiscent of Choptuik's scaling near critical
collapse.
|
[
{
"created": "Mon, 21 Apr 2008 14:28:10 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Veneziano",
"G.",
""
],
[
"Wosiek",
"J.",
""
]
] |
We analyze further a recently proposed S-matrix description of transplanckian scattering in the specific case of axisymmetric collisions of extended sources, where some of the original approximations are not necessary. We confirm the claim that such an approximate description appears to capture the essential features of (the quantum counterpart of) classical gravitational collapse. More specifically, the S-matrix develops singularities whose location in the sources' parameter space are consistent with (and numerically close to) the bounds coming from closed-trapped-surface collapse criteria. In the vicinity of the critical "lines" the phase of the elastic S-matrix exhibits a universal fractional-power behaviour reminiscent of Choptuik's scaling near critical collapse.
| 15.57618 | 14.942105 | 15.664103 | 15.071845 | 15.707952 | 14.412108 | 15.732621 | 15.393575 | 14.286815 | 17.042164 | 13.752647 | 14.197253 | 14.075321 | 14.351578 | 15.160075 | 14.440724 | 14.414609 | 14.211023 | 14.521178 | 14.556389 | 14.212982 |
1003.5593
|
Thomas Schucker
|
Thomas Schucker
|
The noncommutative standard model, post- and predictions
|
contribution to Moriond '10 electro-weak
| null | null | null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
I try to assess the weak and strong points of the standard model of
electro-magnetic, weak and strong forces, how it can be derived from general
relativity by generalizing Riemannian to noncommutative geometry and what post-
and predictions this unification of all four forces entails in particle
physics.
|
[
{
"created": "Mon, 29 Mar 2010 16:16:21 GMT",
"version": "v1"
}
] |
2010-03-30
|
[
[
"Schucker",
"Thomas",
""
]
] |
I try to assess the weak and strong points of the standard model of electro-magnetic, weak and strong forces, how it can be derived from general relativity by generalizing Riemannian to noncommutative geometry and what post- and predictions this unification of all four forces entails in particle physics.
| 15.282144 | 11.835226 | 15.416449 | 13.443323 | 14.236668 | 12.492511 | 12.393777 | 13.04552 | 13.247283 | 15.266973 | 12.162278 | 14.166457 | 14.245071 | 13.937178 | 13.906385 | 13.731479 | 13.6623 | 13.262067 | 14.284621 | 13.652011 | 13.139063 |
hep-th/0207177
|
Hiroshi Ishikawa
|
Hiroshi Ishikawa and Taro Tani (Tohoku Univ.)
|
Novel construction of boundary states in coset conformal field theories
|
43 pages, 6 figures; (v2) arguments about the actions of simple
currents on NIM-reps modified. references added; (v3) misplaced figure
corrected
|
Nucl.Phys. B649 (2003) 205-242
|
10.1016/S0550-3213(02)01011-8
|
TU-664
|
hep-th math.QA
| null |
We develop a systematic method to solve the Cardy condition for the coset
conformal field theory G/H. The problem is equivalent to finding a non-negative
integer valued matrix representation (NIM-rep) of the fusion algebra. Based on
the relation of the G/H theory with the tensor product theory G x H, we give a
map from NIM-reps of G x H to those of G/H. Our map provides a large class of
NIM-reps in coset theories. In particular, we give some examples of NIM-reps
not factorizable into the G and the H sectors. The action of the simple
currents on NIM-reps plays an essential role in our construction. As an
illustration of our procedure, we consider the diagonal coset SU(2)_5 x SU(2)_3
/SU(2)_8 to obtain a new NIM-rep based on the conformal embedding su(2)_3
\oplus su(2)_8 \subset sp(6)_1.
|
[
{
"created": "Fri, 19 Jul 2002 12:27:04 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Oct 2002 04:26:52 GMT",
"version": "v2"
},
{
"created": "Fri, 1 Nov 2002 10:29:00 GMT",
"version": "v3"
}
] |
2010-04-05
|
[
[
"Ishikawa",
"Hiroshi",
"",
"Tohoku Univ."
],
[
"Tani",
"Taro",
"",
"Tohoku Univ."
]
] |
We develop a systematic method to solve the Cardy condition for the coset conformal field theory G/H. The problem is equivalent to finding a non-negative integer valued matrix representation (NIM-rep) of the fusion algebra. Based on the relation of the G/H theory with the tensor product theory G x H, we give a map from NIM-reps of G x H to those of G/H. Our map provides a large class of NIM-reps in coset theories. In particular, we give some examples of NIM-reps not factorizable into the G and the H sectors. The action of the simple currents on NIM-reps plays an essential role in our construction. As an illustration of our procedure, we consider the diagonal coset SU(2)_5 x SU(2)_3 /SU(2)_8 to obtain a new NIM-rep based on the conformal embedding su(2)_3 \oplus su(2)_8 \subset sp(6)_1.
| 6.050886 | 5.728685 | 6.999969 | 5.518338 | 6.151842 | 5.835178 | 5.804012 | 6.043267 | 5.325384 | 7.071456 | 6.108428 | 5.656655 | 6.135678 | 5.749277 | 5.662561 | 5.565929 | 5.739774 | 5.617361 | 5.488775 | 6.123787 | 5.760002 |
1908.03148
|
Anne Taormina
|
Anne Taormina and Katrin Wendland
|
SU(2) channels the cancellation of K3 BPS states
|
33 pages, 5 tables; minor typos corrected;references added
|
JHEP04(2020)184
|
10.1007/JHEP04(2020)184
| null |
hep-th math-ph math.GR math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The conformal field theoretic elliptic genus, an invariant for N=(2,2)
superconformal field theories, counts the BPS states in any such theory with
signs, according to their bosonic or fermionic nature. For K3 theories, this
invariant is the source of the Mathieu Moonshine phenomenon. There, the net
number of quarter BPS states is positive for any conformal dimension above the
massless threshold, but it may arise after cancellation of the contributions of
an equal number of bosonic and fermionic BPS states present in non-generic
theories, as is the case for the class of Z2-orbifolds of toroidal SCFTs.
Nevertheless, the space H-roof of all BPS states that are generic to such
orbifold theories provides a convenient framework to construct a particular
generic space of states of K3 theories. We find a natural action of the group
SU(2) on a subspace of H-roof which is compatible with the cancellations of
contributions from the corresponding non-generic states. In fact, we propose
that this action channels those cancellations. As a by-product, we find a new
subspace of the generic space of states in H-roof.
|
[
{
"created": "Thu, 8 Aug 2019 16:19:48 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Mar 2020 11:46:00 GMT",
"version": "v2"
},
{
"created": "Sat, 2 May 2020 16:08:27 GMT",
"version": "v3"
}
] |
2020-05-05
|
[
[
"Taormina",
"Anne",
""
],
[
"Wendland",
"Katrin",
""
]
] |
The conformal field theoretic elliptic genus, an invariant for N=(2,2) superconformal field theories, counts the BPS states in any such theory with signs, according to their bosonic or fermionic nature. For K3 theories, this invariant is the source of the Mathieu Moonshine phenomenon. There, the net number of quarter BPS states is positive for any conformal dimension above the massless threshold, but it may arise after cancellation of the contributions of an equal number of bosonic and fermionic BPS states present in non-generic theories, as is the case for the class of Z2-orbifolds of toroidal SCFTs. Nevertheless, the space H-roof of all BPS states that are generic to such orbifold theories provides a convenient framework to construct a particular generic space of states of K3 theories. We find a natural action of the group SU(2) on a subspace of H-roof which is compatible with the cancellations of contributions from the corresponding non-generic states. In fact, we propose that this action channels those cancellations. As a by-product, we find a new subspace of the generic space of states in H-roof.
| 10.792428 | 11.994766 | 12.770575 | 11.308776 | 11.923476 | 11.899376 | 11.671985 | 11.379701 | 11.548361 | 12.994946 | 10.578138 | 10.77439 | 11.401 | 10.532367 | 10.915244 | 11.04733 | 10.686412 | 10.902869 | 10.8452 | 10.916407 | 10.583179 |
0809.1156
|
George Papadopoulos
|
George Papadopoulos
|
New half supersymmetric solutions of the heterotic string
|
31 pages, minor corrections, analysis improved and more references
added
|
Class.Quant.Grav.26:135001,2009
|
10.1088/0264-9381/26/13/135001
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We describe all supersymmetric solutions of the heterotic string which
preserve 8 supersymmetries and show that are distinguished by the holonomy,
${\rm hol}(\hat\nabla)$, of the connection, $\hat\nabla$, with skew-symmetric
torsion. The ${\rm hol}(\hat\nabla) \subseteq SU(2)$ solutions are principal
bundles over a 4-dimensional hyper-K\"ahler manifold equipped with a
anti-self-dual connection and fibre group $G$ which has Lie algebra,
${\mathfrak Lie} (G)=\bR^{5,1}$, $\mathfrak{sl}(2,\bR)\oplus \mathfrak{su}(2)$
or $\mathfrak{cw}_6$. Some of the solutions have the interpretation as 5-branes
wrapped on $G$ with transverse space any hyper-K\"ahler 4-dimensional manifold.
We construct new solutions for ${\mathfrak Lie} (G)=\mathfrak{sl}(2,\bR)\oplus
\mathfrak{su}(2)$ and show that are characterized by 3 integers and have
continuous moduli. There is also a smooth family in this class with one
asymptotic region and the dilaton is bounded everywhere on the spacetime. We
also demonstrate that the worldvolume theory of the backgrounds with holonomy
SU(2) can be understood in terms of gauged WZW models for which the gauge
fields are composite. The ${\rm hol}(\hat\nabla) \subseteq\bR^8$ solutions are
superpositions of fundamental strings and pp-waves in flat space, which may
also include a null rotation. The ${\rm hol}(\hat\nabla)=\{1\}$ heterotic
string backgrounds which preserve 8 supersymmetries are Lorentzian group
manifolds.
|
[
{
"created": "Sun, 7 Sep 2008 09:47:14 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Nov 2008 09:20:52 GMT",
"version": "v2"
},
{
"created": "Tue, 26 May 2009 13:14:33 GMT",
"version": "v3"
}
] |
2009-10-09
|
[
[
"Papadopoulos",
"George",
""
]
] |
We describe all supersymmetric solutions of the heterotic string which preserve 8 supersymmetries and show that are distinguished by the holonomy, ${\rm hol}(\hat\nabla)$, of the connection, $\hat\nabla$, with skew-symmetric torsion. The ${\rm hol}(\hat\nabla) \subseteq SU(2)$ solutions are principal bundles over a 4-dimensional hyper-K\"ahler manifold equipped with a anti-self-dual connection and fibre group $G$ which has Lie algebra, ${\mathfrak Lie} (G)=\bR^{5,1}$, $\mathfrak{sl}(2,\bR)\oplus \mathfrak{su}(2)$ or $\mathfrak{cw}_6$. Some of the solutions have the interpretation as 5-branes wrapped on $G$ with transverse space any hyper-K\"ahler 4-dimensional manifold. We construct new solutions for ${\mathfrak Lie} (G)=\mathfrak{sl}(2,\bR)\oplus \mathfrak{su}(2)$ and show that are characterized by 3 integers and have continuous moduli. There is also a smooth family in this class with one asymptotic region and the dilaton is bounded everywhere on the spacetime. We also demonstrate that the worldvolume theory of the backgrounds with holonomy SU(2) can be understood in terms of gauged WZW models for which the gauge fields are composite. The ${\rm hol}(\hat\nabla) \subseteq\bR^8$ solutions are superpositions of fundamental strings and pp-waves in flat space, which may also include a null rotation. The ${\rm hol}(\hat\nabla)=\{1\}$ heterotic string backgrounds which preserve 8 supersymmetries are Lorentzian group manifolds.
| 5.944447 | 6.304553 | 6.824031 | 5.782222 | 6.366899 | 6.040289 | 5.898067 | 6.068168 | 6.032239 | 7.406636 | 5.761755 | 5.945232 | 6.287529 | 5.913937 | 5.980387 | 5.875567 | 6.051413 | 5.899812 | 5.848218 | 6.160986 | 5.920059 |
hep-th/0302099
|
Eric R. Sharpe
|
A. Caldararu, S. Katz, E. Sharpe
|
D-branes, B fields, and Ext groups
|
23 pages, LaTeX; v2: typos fixed; v3: reference added
|
Adv.Theor.Math.Phys. 7 (2004) 381-404
|
10.4310/ATMP.2003.v7.n3.a1
|
ILL-(TH)-03-01
|
hep-th math.AG
| null |
In this paper we extend previous work on calculating massless boundary Ramond
sector spectra of open strings to include cases with nonzero flat B fields. In
such cases, D-branes are no longer well-modelled precisely by sheaves, but
rather they are replaced by `twisted' sheaves, reflecting the fact that gauge
transformations of the B field act as affine translations of the Chan-Paton
factors. As in previous work, we find that the massless boundary Ramond sector
states are counted by Ext groups -- this time, Ext groups of twisted sheaves.
As before, the computation of BRST cohomology relies on physically realizing
some spectral sequences. Subtleties that cropped up in previous work also
appear here.
|
[
{
"created": "Thu, 13 Feb 2003 16:13:02 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Feb 2003 15:03:29 GMT",
"version": "v2"
},
{
"created": "Mon, 24 Feb 2003 17:42:04 GMT",
"version": "v3"
},
{
"created": "Tue, 23 Dec 2003 22:18:49 GMT",
"version": "v4"
}
] |
2016-10-04
|
[
[
"Caldararu",
"A.",
""
],
[
"Katz",
"S.",
""
],
[
"Sharpe",
"E.",
""
]
] |
In this paper we extend previous work on calculating massless boundary Ramond sector spectra of open strings to include cases with nonzero flat B fields. In such cases, D-branes are no longer well-modelled precisely by sheaves, but rather they are replaced by `twisted' sheaves, reflecting the fact that gauge transformations of the B field act as affine translations of the Chan-Paton factors. As in previous work, we find that the massless boundary Ramond sector states are counted by Ext groups -- this time, Ext groups of twisted sheaves. As before, the computation of BRST cohomology relies on physically realizing some spectral sequences. Subtleties that cropped up in previous work also appear here.
| 12.94965 | 11.562753 | 15.195017 | 11.601963 | 12.676194 | 12.981756 | 12.341471 | 12.042881 | 11.482045 | 14.69313 | 10.963266 | 12.035153 | 13.336802 | 12.087637 | 12.434035 | 11.876928 | 11.871199 | 11.753353 | 12.31296 | 13.440587 | 11.868051 |
hep-th/0605081
|
Mohammad Reza Setare
|
M. R. Setare and F. Darabi
|
Bouncing cosmological solutions and their stability
|
9 pages, 1 figure
|
Int.J.Mod.Phys.D16:1563-1571,2007
|
10.1142/S0218271807010948
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the present paper we consider the bouncing braneworld scenario, in which
the bulk is given by a five-dimensional charged AdS black hole spacetime with
matter field confined in a $D_3$ brane. Then, we study the stability of
solutions with respect to homogeneous and isotropic perturbations.
Specifically, the AdS black hole with zero ADM mass and charge, and open
horizon is an attractor, while the charged AdS black hole with zero ADM mass
and flat horizon, is a repeller.
|
[
{
"created": "Mon, 8 May 2006 13:47:13 GMT",
"version": "v1"
},
{
"created": "Sat, 15 Jul 2006 11:33:03 GMT",
"version": "v2"
},
{
"created": "Tue, 1 Jul 2008 11:27:19 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Setare",
"M. R.",
""
],
[
"Darabi",
"F.",
""
]
] |
In the present paper we consider the bouncing braneworld scenario, in which the bulk is given by a five-dimensional charged AdS black hole spacetime with matter field confined in a $D_3$ brane. Then, we study the stability of solutions with respect to homogeneous and isotropic perturbations. Specifically, the AdS black hole with zero ADM mass and charge, and open horizon is an attractor, while the charged AdS black hole with zero ADM mass and flat horizon, is a repeller.
| 8.810473 | 9.634704 | 7.766708 | 7.568861 | 8.232925 | 8.899212 | 8.457629 | 7.691313 | 8.462875 | 8.278452 | 8.136403 | 8.032479 | 7.781788 | 7.662829 | 7.826462 | 7.728582 | 8.06586 | 7.835155 | 8.10463 | 7.993192 | 7.93415 |
hep-th/9410106
|
Michela Varagnolo
|
M. Costantini and M. Varagnolo
|
Multiparameter quantum function algebra at roots of 1
|
22 pages
| null | null | null |
hep-th math.QA
| null |
We study the theory of representations of a multiparameter deformation of the
function algebra of a simple algebraic group (as defined by Reshetikhin) when
the quantum parameter is a root of unity. We extend the technics of De
Concini-Lyubashenko in the standard quantum case.
|
[
{
"created": "Sat, 15 Oct 1994 11:22:49 GMT",
"version": "v1"
}
] |
2008-02-03
|
[
[
"Costantini",
"M.",
""
],
[
"Varagnolo",
"M.",
""
]
] |
We study the theory of representations of a multiparameter deformation of the function algebra of a simple algebraic group (as defined by Reshetikhin) when the quantum parameter is a root of unity. We extend the technics of De Concini-Lyubashenko in the standard quantum case.
| 11.400302 | 13.188824 | 14.561287 | 12.46253 | 12.549391 | 12.451061 | 12.817104 | 12.528879 | 12.361507 | 15.26453 | 11.508307 | 10.923327 | 12.720194 | 11.127136 | 11.253603 | 11.722393 | 11.835552 | 12.74679 | 10.72635 | 12.807226 | 10.628929 |
hep-th/9605087
| null |
E. Bergshoeff, E. Sezgin and E. Sokatchev
|
Couplings of self-dual tensor multiplet in six dimensions
|
17 pages, latex, no figures
|
Class.Quant.Grav. 13 (1996) 2875-2886
|
10.1088/0264-9381/13/11/004
|
UG-2/96, CTP TAMU-8/96, ENSLAPP-A-572/96
|
hep-th
| null |
The (1,0) supersymmetry in six dimensions admits a tensor multiplet which
contains a second-rank antisymmetric tensor field with a self-dual field
strength and a dilaton. We describe the fully supersymmetric coupling of this
multiplet to Yang-Mills multiplet, in the absence of supergravity. The
self-duality equation for the tensor field involves a Chern-Simons modified
field strength, the gauge fermions, and an arbitrary dimensionful parameter.
|
[
{
"created": "Mon, 13 May 1996 16:35:55 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Bergshoeff",
"E.",
""
],
[
"Sezgin",
"E.",
""
],
[
"Sokatchev",
"E.",
""
]
] |
The (1,0) supersymmetry in six dimensions admits a tensor multiplet which contains a second-rank antisymmetric tensor field with a self-dual field strength and a dilaton. We describe the fully supersymmetric coupling of this multiplet to Yang-Mills multiplet, in the absence of supergravity. The self-duality equation for the tensor field involves a Chern-Simons modified field strength, the gauge fermions, and an arbitrary dimensionful parameter.
| 8.440157 | 7.271638 | 8.622734 | 6.938064 | 6.901009 | 7.738591 | 6.951337 | 6.771783 | 6.787624 | 9.826137 | 7.62369 | 7.339698 | 8.158162 | 7.28111 | 7.815953 | 7.47036 | 7.353559 | 7.721587 | 7.315768 | 7.674126 | 7.117676 |
hep-th/0206030
|
Haba Zbigniew
|
Z. Haba (University of Wroclaw)
|
Scale invariant Euclidean field theory in any dimension
|
Latex, 16 pages
|
J.Math.Phys. 43 (2002) 5483-5492
|
10.1063/1.1510971
| null |
hep-th
| null |
We discuss D-dimensional scalar field interacting with a scale invariant
random metric which is either a Gaussian field or a square of a Gaussian field.
The metric depends on d-dimensional coordinates (where d is less than D). By a
projection to a lower dimensional subspace we obtain a scale invariant
non-Gaussian model of Euclidean quantum field theory in D-d or d dimensions.
|
[
{
"created": "Tue, 4 Jun 2002 12:47:18 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Haba",
"Z.",
"",
"University of Wroclaw"
]
] |
We discuss D-dimensional scalar field interacting with a scale invariant random metric which is either a Gaussian field or a square of a Gaussian field. The metric depends on d-dimensional coordinates (where d is less than D). By a projection to a lower dimensional subspace we obtain a scale invariant non-Gaussian model of Euclidean quantum field theory in D-d or d dimensions.
| 13.430375 | 14.685338 | 12.521548 | 11.726826 | 14.903382 | 14.429587 | 12.655968 | 12.831445 | 12.532597 | 16.259924 | 11.791505 | 12.418535 | 12.584966 | 12.019916 | 11.882306 | 12.324076 | 12.110588 | 12.508488 | 12.220142 | 12.637524 | 12.012948 |
hep-th/0301090
|
Jeong-Hyuck Park
|
Seungjoon Hyun, Jeong-Hyuck Park and Sang-Heon Yi
|
3D N=2 massive super Yang-Mills and membranes/D2-branes in a curved
background
|
1+28 pages, No figure, JHEP style; A reference added
|
JHEP0303:004,2003
|
10.1088/1126-6708/2003/03/004
|
KIAS-P03001
|
hep-th
| null |
We present a three dimensional novel massive N=2 super Yang-Mills action as a
low energy effective worldvolume description of the D2-branes on a pp-wave. The
action contains the Myers term, mass terms for three Higgs, and terms mixing
the electric fields with other two Higgs.
We derive the action in three different ways, from the M-theory matrix model,
from the supermembrane action, and from the Dirac-Born-Infeld action. We verify
the consistent mutual agreement and comment how each approach is complementary
to another. In particular, we give the eleven dimensional geometric
interpretation of the vacua in the worldvolume theory as the membranes tilted
to the eleventh direction with the giant gravitons around.
|
[
{
"created": "Tue, 14 Jan 2003 17:33:46 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Jan 2003 07:53:43 GMT",
"version": "v2"
}
] |
2016-09-06
|
[
[
"Hyun",
"Seungjoon",
""
],
[
"Park",
"Jeong-Hyuck",
""
],
[
"Yi",
"Sang-Heon",
""
]
] |
We present a three dimensional novel massive N=2 super Yang-Mills action as a low energy effective worldvolume description of the D2-branes on a pp-wave. The action contains the Myers term, mass terms for three Higgs, and terms mixing the electric fields with other two Higgs. We derive the action in three different ways, from the M-theory matrix model, from the supermembrane action, and from the Dirac-Born-Infeld action. We verify the consistent mutual agreement and comment how each approach is complementary to another. In particular, we give the eleven dimensional geometric interpretation of the vacua in the worldvolume theory as the membranes tilted to the eleventh direction with the giant gravitons around.
| 12.835226 | 12.199693 | 13.483136 | 11.553307 | 11.630414 | 11.29473 | 11.807515 | 11.803146 | 11.221517 | 13.713645 | 11.121081 | 11.906346 | 12.54642 | 11.775885 | 11.619892 | 11.939089 | 12.027864 | 11.790422 | 11.665736 | 12.96104 | 11.494656 |
hep-th/0510104
|
K. Narayan
|
K. Narayan
|
Closed string tachyons, flips and conifolds
|
Latex, 22 pgs, 2 figs. v4: matches JHEP version, 29 pgs, 3 figures,
more elaborate Introduction, various clarifications added
|
JHEP0603:036,2006
|
10.1088/1126-6708/2006/03/036
|
TIFR/TH/05-42, NSF-KITP-05-83
|
hep-th
| null |
Following the analysis of tachyons and orbifold flips described in
hep-th/0412337, we study nonsupersymmetric analogs of the supersymmetric
conifold singularity and show using their toric geometry description that they
are nonsupersymmetric orbifolds of the latter. Using linear sigma models, we
see that these are unstable to localized closed string tachyon condensation and
exhibit flip transitions between their two small resolutions (involving
2-cycles), in the process mediating mild dynamical topology change. Our
analysis shows that the structure of these nonsupersymmetric conifolds as
quotients of the supersymmetric conifold obstructs the 3-cycle deformation of
such singularities, suggesting that these nonsupersymmetric conifolds decay by
evolving towards their stable small resolutions.
|
[
{
"created": "Wed, 12 Oct 2005 19:38:03 GMT",
"version": "v1"
},
{
"created": "Sat, 22 Oct 2005 22:10:46 GMT",
"version": "v2"
},
{
"created": "Tue, 6 Dec 2005 01:42:11 GMT",
"version": "v3"
},
{
"created": "Wed, 1 Mar 2006 12:38:06 GMT",
"version": "v4"
}
] |
2009-11-11
|
[
[
"Narayan",
"K.",
""
]
] |
Following the analysis of tachyons and orbifold flips described in hep-th/0412337, we study nonsupersymmetric analogs of the supersymmetric conifold singularity and show using their toric geometry description that they are nonsupersymmetric orbifolds of the latter. Using linear sigma models, we see that these are unstable to localized closed string tachyon condensation and exhibit flip transitions between their two small resolutions (involving 2-cycles), in the process mediating mild dynamical topology change. Our analysis shows that the structure of these nonsupersymmetric conifolds as quotients of the supersymmetric conifold obstructs the 3-cycle deformation of such singularities, suggesting that these nonsupersymmetric conifolds decay by evolving towards their stable small resolutions.
| 15.273311 | 13.697891 | 16.83713 | 12.989502 | 13.7267 | 13.612012 | 14.459611 | 13.315825 | 12.783906 | 16.642506 | 12.761594 | 13.17837 | 14.472082 | 13.264163 | 13.294659 | 13.212428 | 13.647176 | 13.647393 | 13.54952 | 14.589846 | 13.177901 |
1212.0583
|
Tamar Friedmann
|
Tamar Friedmann and Richard P. Stanley
|
The String Landscape: On Formulas for Counting Vacua
|
Accepted in Nucl. Phys. B
|
Nucl. Phys. B869 (2013) 74
|
10.1016/j.nuclphysb.2012.11.019
| null |
hep-th math-ph math.CO math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive formulas for counting certain classes of vacua in the string/M
theory landscape. We do so in the context of the moduli space of M-theory
compactifications on singular manifolds with G_2 holonomy. Particularly, we
count the numbers of gauge theories with different gauge groups but equal
numbers of U(1) factors which are dual to each other. The vacua correspond to
various symmetry breaking patterns of grand unified theories. Counting these
dual vacua is equivalent to counting the number of conjugacy classes of
elements of finite order inside Lie groups. We also point out certain cases
where the conventional expectation is that symmetry breaking patterns by Wilson
lines and Higgs fields are the same, but we show they are in fact different.
|
[
{
"created": "Mon, 3 Dec 2012 23:11:17 GMT",
"version": "v1"
}
] |
2015-06-12
|
[
[
"Friedmann",
"Tamar",
""
],
[
"Stanley",
"Richard P.",
""
]
] |
We derive formulas for counting certain classes of vacua in the string/M theory landscape. We do so in the context of the moduli space of M-theory compactifications on singular manifolds with G_2 holonomy. Particularly, we count the numbers of gauge theories with different gauge groups but equal numbers of U(1) factors which are dual to each other. The vacua correspond to various symmetry breaking patterns of grand unified theories. Counting these dual vacua is equivalent to counting the number of conjugacy classes of elements of finite order inside Lie groups. We also point out certain cases where the conventional expectation is that symmetry breaking patterns by Wilson lines and Higgs fields are the same, but we show they are in fact different.
| 8.722783 | 8.705759 | 8.864172 | 7.647252 | 8.417704 | 8.886675 | 8.360868 | 8.285977 | 8.096139 | 8.920752 | 8.192825 | 8.095973 | 8.550592 | 8.285737 | 8.074316 | 8.294736 | 8.019596 | 8.049753 | 8.325281 | 8.936072 | 7.926875 |
1709.01738
|
Maro Cvitan
|
L. Bonora, M. Cvitan, P. Dominis Prester, S. Giaccari, T.
\v{S}temberga
|
One-loop effective actions and higher spins. II
|
151 pages
| null |
10.1007/JHEP01(2018)080
|
SISSA/42/2017/FISI, ZTF-EP-17-06
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we continue and improve the analysis of the effective actions
obtained by integrating out a scalar and a fermion field coupled to external
symmetric sources, started in the previous paper. The first subject we study is
the geometrization of the results obtained there, that is we express them in
terms of covariant Jacobi tensors. The second subject concerns the treatment of
tadpoles and seagull terms in order to implement off-shell covariance in the
initial model. The last and by far largest part of the paper is a repository of
results concerning all two point correlators (including mixed ones) of
symmetric currents of any spin up to 5 and in any dimensions between 3 and 6.
In the massless case we also provide formulas for any spin in any dimension.
|
[
{
"created": "Wed, 6 Sep 2017 09:35:47 GMT",
"version": "v1"
}
] |
2018-02-14
|
[
[
"Bonora",
"L.",
""
],
[
"Cvitan",
"M.",
""
],
[
"Prester",
"P. Dominis",
""
],
[
"Giaccari",
"S.",
""
],
[
"Štemberga",
"T.",
""
]
] |
In this paper we continue and improve the analysis of the effective actions obtained by integrating out a scalar and a fermion field coupled to external symmetric sources, started in the previous paper. The first subject we study is the geometrization of the results obtained there, that is we express them in terms of covariant Jacobi tensors. The second subject concerns the treatment of tadpoles and seagull terms in order to implement off-shell covariance in the initial model. The last and by far largest part of the paper is a repository of results concerning all two point correlators (including mixed ones) of symmetric currents of any spin up to 5 and in any dimensions between 3 and 6. In the massless case we also provide formulas for any spin in any dimension.
| 11.992601 | 11.77415 | 11.956164 | 11.18319 | 11.624121 | 11.523654 | 11.509906 | 10.698315 | 10.709875 | 12.562231 | 11.830035 | 11.16117 | 11.596202 | 11.144404 | 11.298888 | 11.399326 | 11.091826 | 11.145661 | 10.66251 | 11.397187 | 10.966662 |
hep-th/0403262
|
Eduardo Andr\'es
|
G. Aldazabal, E. C. Andr\'es and J. E. Juknevich
|
Particle models from orientifolds at Gepner-orbifold points
|
36 pages, no figures Corrected sign of eq. 6.26 references added,
minor corrections
|
JHEP 0405 (2004) 054
|
10.1088/1126-6708/2004/05/054
|
CAB-IB/2901204
|
hep-th hep-ph
| null |
We consider configurations of stacks of orientifold planes and D-branes
wrapped on a non trivial internal space of the structure {(Gepner model)^{c=3n}
x T^{2(3-n)}}/Z_N, for n=1,2,3. By performing simple moddings by discrete
symmetries of Gepner models at orienti fold points, consistent with a Z_N
orbifold action, we show that projection on D-brane configurations can be
achieved, generically leading to chiral gauge theories. Either supersymmetric
or non-supersymmetric (tachyon free) models can be obtained. We illustrate the
procedure through some explicit examples.
|
[
{
"created": "Fri, 26 Mar 2004 16:34:14 GMT",
"version": "v1"
},
{
"created": "Mon, 10 May 2004 18:46:58 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Aldazabal",
"G.",
""
],
[
"Andrés",
"E. C.",
""
],
[
"Juknevich",
"J. E.",
""
]
] |
We consider configurations of stacks of orientifold planes and D-branes wrapped on a non trivial internal space of the structure {(Gepner model)^{c=3n} x T^{2(3-n)}}/Z_N, for n=1,2,3. By performing simple moddings by discrete symmetries of Gepner models at orienti fold points, consistent with a Z_N orbifold action, we show that projection on D-brane configurations can be achieved, generically leading to chiral gauge theories. Either supersymmetric or non-supersymmetric (tachyon free) models can be obtained. We illustrate the procedure through some explicit examples.
| 15.60377 | 14.725286 | 14.940453 | 13.426165 | 13.740465 | 12.422799 | 12.962219 | 12.414766 | 12.628503 | 15.800378 | 13.459462 | 13.252142 | 13.499231 | 12.563464 | 13.133642 | 13.405231 | 13.396735 | 13.130379 | 12.750874 | 13.604929 | 13.343539 |
hep-th/0608028
|
Corneliu Sochichiu
|
Corneliu Sochichiu
|
Statistical mechanics for dilatations in N=4 super Yang--Mills theory
|
44 pages, 1 pstricks picture, presentation improved, physical meaning
clarified, new references added
|
Nucl.Phys.B767:352-384,2007
|
10.1016/j.nuclphysb.2007.01.010
|
MPP-2006-95
|
hep-th
| null |
Matrix model describing the anomalous dimensions of composite operators in
$\mathcal{N}=4$ super Yang--Mills theory up to one-loop level is considered at
finite temperature. We compute the thermal effective action for this model,
which we define as the log of the partition function restricted to the states
of given fixed length and spin. The result is obtained in the limits of high
and low temperature.
|
[
{
"created": "Thu, 3 Aug 2006 14:40:57 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Sep 2006 16:23:16 GMT",
"version": "v2"
},
{
"created": "Thu, 7 Dec 2006 15:43:30 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Sochichiu",
"Corneliu",
""
]
] |
Matrix model describing the anomalous dimensions of composite operators in $\mathcal{N}=4$ super Yang--Mills theory up to one-loop level is considered at finite temperature. We compute the thermal effective action for this model, which we define as the log of the partition function restricted to the states of given fixed length and spin. The result is obtained in the limits of high and low temperature.
| 9.216798 | 7.99114 | 8.973854 | 7.782633 | 7.127784 | 6.967368 | 7.435602 | 7.276472 | 8.239139 | 10.164052 | 7.616156 | 7.820751 | 8.279174 | 7.976569 | 8.22543 | 8.038181 | 7.970704 | 7.825893 | 7.938484 | 8.429064 | 7.77004 |
0901.4040
|
Jose Francisco Gomes
|
J. F. Gomes, D. M. Schmidtt and A. H. Zimerman
|
Super WZNW with Reductions to Supersymmetric and Fermionic Integrable
Models
|
28 pages, latex, added reference
|
Nucl.Phys.B821:553-576,2009
|
10.1016/j.nuclphysb.2009.05.026
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A systematic construction for an action describing a class of supersymmetric
integrable models as well as for pure fermionic theories is discussed in terms
of the gauged WZNW model associated to twisted affine Kac-Moody algebras.
Explicit examples of the $N=1,2$ super sinh(sine)-Gordon models are discussed
in detail. Pure fermionic theories arises for cosets $sl(p,1)/sl(p)\otimes
u(1)$ when a maximal kernel condition is fulfilled. The integrability condition
for such models is discussed and it is shown that the simplest example when
$p=2$ leads to the constrained Bukhvostov-Lipatov, Thirring, scalar massive and
pseudo-scalar massless Gross-Neveu models.
|
[
{
"created": "Mon, 26 Jan 2009 16:50:12 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Feb 2009 11:37:27 GMT",
"version": "v2"
}
] |
2009-09-28
|
[
[
"Gomes",
"J. F.",
""
],
[
"Schmidtt",
"D. M.",
""
],
[
"Zimerman",
"A. H.",
""
]
] |
A systematic construction for an action describing a class of supersymmetric integrable models as well as for pure fermionic theories is discussed in terms of the gauged WZNW model associated to twisted affine Kac-Moody algebras. Explicit examples of the $N=1,2$ super sinh(sine)-Gordon models are discussed in detail. Pure fermionic theories arises for cosets $sl(p,1)/sl(p)\otimes u(1)$ when a maximal kernel condition is fulfilled. The integrability condition for such models is discussed and it is shown that the simplest example when $p=2$ leads to the constrained Bukhvostov-Lipatov, Thirring, scalar massive and pseudo-scalar massless Gross-Neveu models.
| 10.728496 | 9.650118 | 11.996971 | 9.77115 | 9.220127 | 9.753057 | 10.128429 | 9.684347 | 9.582159 | 12.460109 | 9.290233 | 9.807961 | 10.446214 | 9.599654 | 9.737123 | 9.870879 | 9.545857 | 9.546727 | 9.655687 | 10.272819 | 9.414389 |
hep-th/9907094
|
Yoji Michishita
|
Yoji Michishita
|
D0-branes in SO(32)$\times$SO(32) open type 0 string theory
|
7 pages, Latex, The description about the truncation is modified
|
Phys.Lett. B466 (1999) 161
|
10.1016/S0370-2693(99)01123-5
|
KUNS-1586
|
hep-th
| null |
We construct D0-branes in SO(32)$\times$SO(32) open type 0 string theory
using the same method as the one used to construct non-BPS D0-brane in type I
string theory. It has been proposed that this theory is S-dual to bosonic
string theory compactified on SO(32) lattice, which has SO(32)$\times$SO(32)
spinor states as excited states of fundamental string. One of these states
seems to correspond to the D0-brane, and by the requirement that other states
which do not have corresponding states must be removed, we can determine the
way of truncation of the spectrum. This result supports the conjecture.
|
[
{
"created": "Tue, 13 Jul 1999 13:01:01 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Jul 1999 08:21:34 GMT",
"version": "v2"
},
{
"created": "Fri, 16 Jul 1999 03:46:47 GMT",
"version": "v3"
},
{
"created": "Fri, 23 Jul 1999 01:08:38 GMT",
"version": "v4"
},
{
"created": "Fri, 27 Aug 1999 00:34:58 GMT",
"version": "v5"
}
] |
2009-10-31
|
[
[
"Michishita",
"Yoji",
""
]
] |
We construct D0-branes in SO(32)$\times$SO(32) open type 0 string theory using the same method as the one used to construct non-BPS D0-brane in type I string theory. It has been proposed that this theory is S-dual to bosonic string theory compactified on SO(32) lattice, which has SO(32)$\times$SO(32) spinor states as excited states of fundamental string. One of these states seems to correspond to the D0-brane, and by the requirement that other states which do not have corresponding states must be removed, we can determine the way of truncation of the spectrum. This result supports the conjecture.
| 7.796296 | 6.98913 | 8.750521 | 7.477094 | 7.464978 | 7.123008 | 7.875009 | 6.868975 | 7.739936 | 9.528815 | 7.10208 | 7.403924 | 7.797175 | 7.206385 | 7.119511 | 6.935077 | 7.329055 | 7.327367 | 7.264175 | 7.815607 | 6.99633 |
2005.02636
|
Takayuki Sumimoto
|
Tetsuya Akutagawa, Koji Hashimoto, Takayuki Sumimoto
|
Deep Learning and AdS/QCD
|
13 pages, 9 figures, v2: Figure display problem resolved, the content
unchanged
|
Phys. Rev. D 102, 026020 (2020)
|
10.1103/PhysRevD.102.026020
|
OU-HET 1058
|
hep-th cond-mat.dis-nn hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a deep learning method to build an AdS/QCD model from the data of
hadron spectra. A major problem of generic AdS/QCD models is that a large
ambiguity is allowed for the bulk gravity metric with which QCD observables are
holographically calculated. We adopt the experimentally measured spectra of
$\rho$ and $a_2$ mesons as training data, and perform a supervised machine
learning which determines concretely a bulk metric and a dilaton profile of an
AdS/QCD model. Our deep learning (DL) architecture is based on the AdS/DL
correspondence (arXiv:1802.08313) where the deep neural network is identified
with the emergent bulk spacetime.
|
[
{
"created": "Wed, 6 May 2020 07:48:00 GMT",
"version": "v1"
},
{
"created": "Fri, 8 May 2020 01:37:04 GMT",
"version": "v2"
}
] |
2020-07-29
|
[
[
"Akutagawa",
"Tetsuya",
""
],
[
"Hashimoto",
"Koji",
""
],
[
"Sumimoto",
"Takayuki",
""
]
] |
We propose a deep learning method to build an AdS/QCD model from the data of hadron spectra. A major problem of generic AdS/QCD models is that a large ambiguity is allowed for the bulk gravity metric with which QCD observables are holographically calculated. We adopt the experimentally measured spectra of $\rho$ and $a_2$ mesons as training data, and perform a supervised machine learning which determines concretely a bulk metric and a dilaton profile of an AdS/QCD model. Our deep learning (DL) architecture is based on the AdS/DL correspondence (arXiv:1802.08313) where the deep neural network is identified with the emergent bulk spacetime.
| 8.574512 | 7.463237 | 8.790715 | 7.612906 | 8.818638 | 7.941815 | 7.610761 | 7.95054 | 8.177125 | 9.122104 | 8.39572 | 8.152355 | 8.061087 | 7.858496 | 8.589684 | 8.586634 | 8.29511 | 8.074615 | 8.051918 | 8.021625 | 8.338263 |
0801.4720
|
Christian Beck
|
Muhammad Maher, Christian Beck
|
Chaotic quantization and the mass spectrum of fermions
|
8 pages, 6 figures. To appear in Chaos, Solitons and Fractals (2008)
|
ChaosSolitonsFractals37:9-15,2008
|
10.1016/j.chaos.2007.11.006
| null |
hep-th
| null |
In order to understand the parameters of the standard model of electroweak
and strong interactions, one needs to embed the standard model into some larger
theory that accounts for the observed values. This means some additional sector
is needed that fixes and stabilizes the values of the fundamental constants of
nature. We describe how such a sector can be constructed using the so-called
chaotic quantization method applied to a system of coupled map lattices. We
restrict ourselves in this short note on verifying how our model correctly
yields the numerical values of Yukawa and gravitational coupling constants of a
collection of heavy and light fermions using a simple principle, the local
minimization of vacuum energy.
|
[
{
"created": "Wed, 30 Jan 2008 17:23:14 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Maher",
"Muhammad",
""
],
[
"Beck",
"Christian",
""
]
] |
In order to understand the parameters of the standard model of electroweak and strong interactions, one needs to embed the standard model into some larger theory that accounts for the observed values. This means some additional sector is needed that fixes and stabilizes the values of the fundamental constants of nature. We describe how such a sector can be constructed using the so-called chaotic quantization method applied to a system of coupled map lattices. We restrict ourselves in this short note on verifying how our model correctly yields the numerical values of Yukawa and gravitational coupling constants of a collection of heavy and light fermions using a simple principle, the local minimization of vacuum energy.
| 15.118545 | 12.135656 | 14.706347 | 12.491525 | 12.475801 | 12.160454 | 14.221069 | 13.004184 | 12.994465 | 15.037248 | 12.767963 | 12.823569 | 13.581346 | 13.043958 | 13.209043 | 12.692286 | 13.060706 | 12.672916 | 13.266566 | 13.584597 | 13.229737 |
1202.3929
|
Jurgen Fuchs
|
Jens Fjelstad, Jurgen Fuchs, Carl Stigner
|
RCFT with defects: Factorization and fundamental world sheets
|
46 pages, several pictures. v2: typos corrected
| null |
10.1016/j.nuclphysb.2012.05.011
| null |
hep-th math.QA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is known that for any full rational conformal field theory, the
correlation functions that are obtained by the TFT construction satisfy all
locality, modular invariance and factorization conditions, and that there is a
small set of fundamental correlators to which all others are related via
factorization - provided that the world sheets considered do not contain any
non-trivial defect lines. In this paper we generalize both results to oriented
world sheets with an arbitrary network of topological defect lines.
|
[
{
"created": "Fri, 17 Feb 2012 15:06:48 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Feb 2013 17:44:00 GMT",
"version": "v2"
}
] |
2015-06-04
|
[
[
"Fjelstad",
"Jens",
""
],
[
"Fuchs",
"Jurgen",
""
],
[
"Stigner",
"Carl",
""
]
] |
It is known that for any full rational conformal field theory, the correlation functions that are obtained by the TFT construction satisfy all locality, modular invariance and factorization conditions, and that there is a small set of fundamental correlators to which all others are related via factorization - provided that the world sheets considered do not contain any non-trivial defect lines. In this paper we generalize both results to oriented world sheets with an arbitrary network of topological defect lines.
| 12.122718 | 11.230242 | 14.485504 | 11.426359 | 11.591434 | 10.920768 | 11.104726 | 10.853624 | 10.451861 | 13.892159 | 11.285792 | 10.19912 | 12.456156 | 10.92961 | 10.856557 | 10.728982 | 10.665166 | 11.447751 | 10.773055 | 11.7343 | 10.713344 |
hep-th/9403096
|
Stefan Theisen
|
S. Hosono, A. Klemm and S. Theisen
|
Lectures on Mirror Symmetry
|
LMU-TPW-94-02, 45 pages, harvmac
| null |
10.1007/3-540-58453-6_13
| null |
hep-th
| null |
We give an introduction to mirror symmetry of strings on Calabi-Yau manifolds
with an emphasis on its applications e.g. for the computation of Yukawa
couplings. We introduce all necessary concepts and tools such as the basics of
toric geometry, resolution of singularities, construction of mirror pairs,
Picard-Fuchs equations, etc. and illustrate all of this on a non-trivial
example. Extended version of a lecture given at the Third Baltic Student
Seminar, Helsinki September 1993
|
[
{
"created": "Thu, 17 Mar 1994 13:00:28 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Hosono",
"S.",
""
],
[
"Klemm",
"A.",
""
],
[
"Theisen",
"S.",
""
]
] |
We give an introduction to mirror symmetry of strings on Calabi-Yau manifolds with an emphasis on its applications e.g. for the computation of Yukawa couplings. We introduce all necessary concepts and tools such as the basics of toric geometry, resolution of singularities, construction of mirror pairs, Picard-Fuchs equations, etc. and illustrate all of this on a non-trivial example. Extended version of a lecture given at the Third Baltic Student Seminar, Helsinki September 1993
| 9.681069 | 8.788699 | 8.881657 | 8.262621 | 9.15292 | 8.731952 | 8.834257 | 7.989774 | 7.722119 | 10.652724 | 8.195973 | 8.27955 | 8.728905 | 8.130431 | 8.345331 | 8.438684 | 8.583507 | 8.411527 | 8.664007 | 9.357419 | 8.357077 |
hep-th/0311121
|
Betti Hartmann
|
Yves Brihaye (Universite de Mons, Belgium) and Betti Hartmann (IUB,
Germany)
|
Born-Infeld strings in brane worlds
|
11 REVTEX4 pages, 5 EPS-figures; v1:references and new figure added;
Conclusions extended; Accepted for publication in Nucl. Phys. B
|
Nucl.Phys. B691 (2004) 79-90
|
10.1016/j.nuclphysb.2004.05.021
|
IUB-TH-0311
|
hep-th gr-qc
| null |
We study Born-Infeld strings in a six dimensional brane world scenario
recently suggested by Giovannini, Meyer and Shaposhnikov (GMS). In the limit of
the Einstein-Abelian-Higgs model, we classify the solutions found by GMS.
Especially, we point out that the warped solutions, which lead to localisation
of gravity, are the - by the presence of the cosmological constant - deformed
inverted string solutions. Further, we construct the Born-Infeld analogues of
the anti-warped solutions and determine the domain of existence of these
solutions, while a analytic argument leads us to a "no-go" hypothesis:
solutions which localise gravity do NOT exist in a 6 dimensional
Einstein-Born-Infeld-Abelian-Higgs (EBIAH) brane world scenario. This latter
hypothesis is confirmed by our numerical results.
|
[
{
"created": "Fri, 14 Nov 2003 14:24:49 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Nov 2003 09:58:37 GMT",
"version": "v2"
},
{
"created": "Thu, 13 May 2004 09:10:18 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Brihaye",
"Yves",
"",
"Universite de Mons, Belgium"
],
[
"Hartmann",
"Betti",
"",
"IUB,\n Germany"
]
] |
We study Born-Infeld strings in a six dimensional brane world scenario recently suggested by Giovannini, Meyer and Shaposhnikov (GMS). In the limit of the Einstein-Abelian-Higgs model, we classify the solutions found by GMS. Especially, we point out that the warped solutions, which lead to localisation of gravity, are the - by the presence of the cosmological constant - deformed inverted string solutions. Further, we construct the Born-Infeld analogues of the anti-warped solutions and determine the domain of existence of these solutions, while a analytic argument leads us to a "no-go" hypothesis: solutions which localise gravity do NOT exist in a 6 dimensional Einstein-Born-Infeld-Abelian-Higgs (EBIAH) brane world scenario. This latter hypothesis is confirmed by our numerical results.
| 11.079165 | 10.772042 | 11.35335 | 9.905256 | 10.831306 | 10.870411 | 11.30248 | 10.868206 | 10.382483 | 11.717299 | 10.071863 | 10.303062 | 10.401677 | 10.212851 | 10.459525 | 10.257209 | 10.555182 | 10.246059 | 10.57735 | 10.192418 | 10.393393 |
1112.3887
|
Pedro Gomes
|
Pedro R. S. Gomes, M. Gomes
|
On Ward Identities in Lifshitz-like Field Theories
|
Clarifications added
|
Phys. Rev. D 85, 065010 (2012)
|
10.1103/PhysRevD.85.065010
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work, we develop a normal product algorithm suitable to the study of
anisotropic field theories in flat space, apply it to construct the symmetries
generators and describe how their possible anomalies may be found. In
particular, we discuss the dilatation anomaly in a scalar model with critical
exponent z=2 in six spatial dimensions.
|
[
{
"created": "Fri, 16 Dec 2011 16:35:56 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Dec 2011 11:17:44 GMT",
"version": "v2"
},
{
"created": "Fri, 9 Mar 2012 19:45:08 GMT",
"version": "v3"
}
] |
2012-03-12
|
[
[
"Gomes",
"Pedro R. S.",
""
],
[
"Gomes",
"M.",
""
]
] |
In this work, we develop a normal product algorithm suitable to the study of anisotropic field theories in flat space, apply it to construct the symmetries generators and describe how their possible anomalies may be found. In particular, we discuss the dilatation anomaly in a scalar model with critical exponent z=2 in six spatial dimensions.
| 20.569595 | 14.126011 | 16.733095 | 13.702615 | 14.54673 | 14.961245 | 13.232592 | 14.193507 | 14.415221 | 18.171158 | 15.993849 | 15.206632 | 17.890556 | 15.504959 | 15.570397 | 16.016634 | 14.67268 | 16.032438 | 15.086481 | 17.423822 | 16.003052 |
hep-th/9605055
| null |
Stefano De Leo (Dip. di Fisica, INFN, Lecce)
|
Half-whole Dimensions in Quaternionic Quantum Mechanics
|
9 pages, Revtex, Prog. Theor. Phys. (to be published)
|
Prog.Theor.Phys. 95 (1996) 1029-1040
|
10.1143/PTP.95.1029
| null |
hep-th
| null |
We introduce {\em half-whole} dimensions for quaternionic matrices and
propose a quaternionic version of the Frobenius-Schur theorem which allows us
to obtain the proper quaternionic dimensionality for the representations of the
Dirac and Duffin-Kemmer-Petiau (DKP) algebras.
|
[
{
"created": "Wed, 8 May 1996 14:15:08 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"De Leo",
"Stefano",
"",
"Dip. di Fisica, INFN, Lecce"
]
] |
We introduce {\em half-whole} dimensions for quaternionic matrices and propose a quaternionic version of the Frobenius-Schur theorem which allows us to obtain the proper quaternionic dimensionality for the representations of the Dirac and Duffin-Kemmer-Petiau (DKP) algebras.
| 11.642101 | 10.571714 | 11.712461 | 10.530255 | 9.745089 | 11.306102 | 10.24297 | 10.275067 | 9.686651 | 10.072666 | 9.926562 | 9.239054 | 10.425323 | 10.162605 | 10.576505 | 9.793092 | 9.86866 | 10.066249 | 10.20115 | 9.74023 | 9.546912 |
hep-th/0009213
|
Radu Tatar
|
Radu Tatar
|
A Note on Non-Commutative Field Theory and Stability of Brane-Antibrane
Systems
|
11 pages, Latex
| null | null |
HU-EP-00/33, BROWN-HET-1240
|
hep-th
| null |
It has been conjectured that a pair of D5 - anti D5 branes wrapped on some
non-trivial two cycle of a Calabi-Yau manifold becomes a stable BPS D3 brane in
the presence of a very large B field and magnetic fluxes on their worldvolumes.
We discuss this by considering the non-commutative field theory on the
worldvolume of the pair of branes whose field multiplication is made with
respect to two different * products due to the presence of different F fields
on the two branes. The tachyonic field becomes massless for a specific choice
of the magnetic fluxes and it allows a trivial solution. Our discussion
generalizes recent results concerning stability of brane-antibrane systems on
Calabi-Yau spaces to the case of non-commutative branes.
|
[
{
"created": "Tue, 26 Sep 2000 22:55:14 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Tatar",
"Radu",
""
]
] |
It has been conjectured that a pair of D5 - anti D5 branes wrapped on some non-trivial two cycle of a Calabi-Yau manifold becomes a stable BPS D3 brane in the presence of a very large B field and magnetic fluxes on their worldvolumes. We discuss this by considering the non-commutative field theory on the worldvolume of the pair of branes whose field multiplication is made with respect to two different * products due to the presence of different F fields on the two branes. The tachyonic field becomes massless for a specific choice of the magnetic fluxes and it allows a trivial solution. Our discussion generalizes recent results concerning stability of brane-antibrane systems on Calabi-Yau spaces to the case of non-commutative branes.
| 9.435307 | 8.618442 | 10.016379 | 8.073507 | 9.145316 | 8.463508 | 8.865611 | 8.186211 | 7.985842 | 10.494534 | 8.344936 | 8.47498 | 8.86088 | 8.440414 | 8.353078 | 8.565966 | 8.500665 | 8.386205 | 8.312982 | 8.392253 | 8.448735 |
hep-th/0211064
|
Toshiaki Tanaka
|
Toshiaki Tanaka and Masatoshi Sato
|
Nonperturbative Aspects in N-fold Supersymmetry
|
9 pages, Talk given at the 3rd International Sakharov Conference on
Physics, Moscow, June 2002
| null | null | null |
hep-th quant-ph
| null |
Through a nonperturbative analysis on a sextic triple-well potential, we
reveal novel aspects of the dynamical property of the system in connection with
N-fold supersymmetry and quasi-solvability.
|
[
{
"created": "Fri, 8 Nov 2002 06:32:01 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Tanaka",
"Toshiaki",
""
],
[
"Sato",
"Masatoshi",
""
]
] |
Through a nonperturbative analysis on a sextic triple-well potential, we reveal novel aspects of the dynamical property of the system in connection with N-fold supersymmetry and quasi-solvability.
| 22.257006 | 13.539061 | 26.049717 | 14.729022 | 15.811337 | 14.360723 | 15.731159 | 13.362679 | 14.843576 | 21.870815 | 15.509507 | 15.690281 | 19.556442 | 16.080812 | 16.756346 | 16.977997 | 16.292479 | 15.180713 | 16.928997 | 18.113741 | 16.914669 |
2105.14965
|
Vladislav Kupriyanov
|
Vladislav G. Kupriyanov
|
Poisson gauge theory
|
25 pages; published version
|
JHEP09(2021)016
|
10.1007/JHEP09(2021)016
| null |
hep-th math-ph math.MP math.SG
|
http://creativecommons.org/licenses/by/4.0/
|
The Poisson gauge algebra is a semi-classical limit of complete
non-commutative gauge algebra. In the present work we formulate the Poisson
gauge theory which is a dynamical field theoretical model having the Poisson
gauge algebra as a corresponding algebra of gauge symmetries. The proposed
model is designed to investigate the semi-classical features of the full
non-commutative gauge theory with coordinate dependent non-commutativity
$\Theta^{ab}(x)$, especially whose with a non-constant rank. We derive the
expression for the covariant derivative of matter field. The commutator
relation for the covariant derivatives defines the Poisson field strength which
is covariant under the Poisson gauge transformations and reproduces the
standard $U(1)$ field strength in the commutative limit. We derive the
corresponding Bianchi identities. The field equations for the gauge and the
matter fields are obtained from the gauge invariant action. We consider
different examples of linear in coordinates Poisson structures
$\Theta^{ab}(x)$, as well as non-linear ones, and obtain explicit expressions
for all proposed constructions. Our model is unique up to invertible field
redefinitions and coordinate transformations.
|
[
{
"created": "Mon, 31 May 2021 13:50:02 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Jun 2021 15:04:54 GMT",
"version": "v2"
},
{
"created": "Mon, 6 Sep 2021 19:20:38 GMT",
"version": "v3"
}
] |
2021-09-08
|
[
[
"Kupriyanov",
"Vladislav G.",
""
]
] |
The Poisson gauge algebra is a semi-classical limit of complete non-commutative gauge algebra. In the present work we formulate the Poisson gauge theory which is a dynamical field theoretical model having the Poisson gauge algebra as a corresponding algebra of gauge symmetries. The proposed model is designed to investigate the semi-classical features of the full non-commutative gauge theory with coordinate dependent non-commutativity $\Theta^{ab}(x)$, especially whose with a non-constant rank. We derive the expression for the covariant derivative of matter field. The commutator relation for the covariant derivatives defines the Poisson field strength which is covariant under the Poisson gauge transformations and reproduces the standard $U(1)$ field strength in the commutative limit. We derive the corresponding Bianchi identities. The field equations for the gauge and the matter fields are obtained from the gauge invariant action. We consider different examples of linear in coordinates Poisson structures $\Theta^{ab}(x)$, as well as non-linear ones, and obtain explicit expressions for all proposed constructions. Our model is unique up to invertible field redefinitions and coordinate transformations.
| 7.182048 | 7.268423 | 8.216264 | 6.800642 | 7.45065 | 7.077441 | 7.517427 | 7.06119 | 7.022154 | 8.281461 | 6.644507 | 7.225281 | 7.415492 | 7.144047 | 7.214537 | 7.130864 | 7.311851 | 7.057161 | 7.10026 | 7.782167 | 7.051411 |
2307.13712
|
Anirban Roy Chowdhury
|
Anirban Roy Chowdhury, Ashis Saha, Sunandan Gangopadhyay
|
Mixed state entanglement measures for the dipole deformed supersymmetric
Yang-Mills theory
|
23 pages Latex,7 figures
|
Annals of Physics 460(2024)169565
| null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
Two different entanglement measures for mixed states, namely, the
entanglement of purification and entanglement negativity has been
holographically computed for the dipole deformed supersymmetric Yang-Mills
(SYM) theory by considering its gravity dual. The dipole deformation induces
non-locality in the SYM theory which is characterized by a length-scale
$a=\lambda^{\frac{1}{2}}\tilde{L}$. Considering a strip like subsystem of
length $\frac{l}{a}$ (in dimensionless form), we first analytically calculate
the holographic entanglement entropy for and compare the obtained results with
that of obtained numerically.~The analytical calculations have been carried out
by considering $au_t \leq 1$,~$1\leq au_t < au_b$ and $au_t\sim au_b$, where
$au_b$ is the UV cut-off. The choice of these regions enable us to identify the
expansion parameters needed to carry out binomial expansions. The entanglement
measures expectedly displays a smooth behaviour with respect to the subsystem
size as the geometry has a smooth transition between the mentioned regions.
Using these results, the holographic mutual information is then computed for
two disjoint subsystems $A$ and $B$. Based upon the $E_{P}=E_{W}$ duality, the
entanglement of purification ($E_{P}$) is then computed and the effects of
dipole deformation in this context have been studied. Finally, we proceed to
compute entanglement negativity for this theory and compare the obtained result
with that of the standard SYM theory in order to get a better understanding
about the effects of the non-locality.
|
[
{
"created": "Tue, 25 Jul 2023 05:22:49 GMT",
"version": "v1"
},
{
"created": "Sat, 29 Jul 2023 07:34:30 GMT",
"version": "v2"
},
{
"created": "Mon, 11 Dec 2023 09:24:25 GMT",
"version": "v3"
}
] |
2023-12-12
|
[
[
"Chowdhury",
"Anirban Roy",
""
],
[
"Saha",
"Ashis",
""
],
[
"Gangopadhyay",
"Sunandan",
""
]
] |
Two different entanglement measures for mixed states, namely, the entanglement of purification and entanglement negativity has been holographically computed for the dipole deformed supersymmetric Yang-Mills (SYM) theory by considering its gravity dual. The dipole deformation induces non-locality in the SYM theory which is characterized by a length-scale $a=\lambda^{\frac{1}{2}}\tilde{L}$. Considering a strip like subsystem of length $\frac{l}{a}$ (in dimensionless form), we first analytically calculate the holographic entanglement entropy for and compare the obtained results with that of obtained numerically.~The analytical calculations have been carried out by considering $au_t \leq 1$,~$1\leq au_t < au_b$ and $au_t\sim au_b$, where $au_b$ is the UV cut-off. The choice of these regions enable us to identify the expansion parameters needed to carry out binomial expansions. The entanglement measures expectedly displays a smooth behaviour with respect to the subsystem size as the geometry has a smooth transition between the mentioned regions. Using these results, the holographic mutual information is then computed for two disjoint subsystems $A$ and $B$. Based upon the $E_{P}=E_{W}$ duality, the entanglement of purification ($E_{P}$) is then computed and the effects of dipole deformation in this context have been studied. Finally, we proceed to compute entanglement negativity for this theory and compare the obtained result with that of the standard SYM theory in order to get a better understanding about the effects of the non-locality.
| 8.123143 | 8.673638 | 8.901588 | 7.781765 | 7.824448 | 8.209643 | 8.496396 | 8.072472 | 7.7057 | 9.242227 | 7.881799 | 7.737163 | 8.220704 | 7.801909 | 7.705297 | 8.04264 | 8.035188 | 7.662155 | 7.897696 | 8.203216 | 7.868991 |
hep-th/9709059
|
Wlodzimierz Piechocki
|
George Jorjadze and Wlodzimierz Piechocki
|
Relativistic Particle in the Liouville Field
|
17 pages, Latex, no figures
|
Theor.Math.Phys. 118 (1999) 183-196; Teor.Mat.Fiz. 118 (1999)
229-247
| null | null |
hep-th
| null |
A model of a relativistic particle moving in the Liouville field is
investigated. Symmetry group of the system is $SL(2,R)/Z_2$. The corresponding
dynamical integrals describe full set of classical trajectories. Dynamical
integrals are used for the gauge-invariant Hamiltonian reduction. The new
scheme is proposed for quantization of the reduced system. Obtained quantum
system reproduces classical symmetry. Physical aspects of the model are
discussed.
|
[
{
"created": "Mon, 8 Sep 1997 14:23:40 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Jorjadze",
"George",
""
],
[
"Piechocki",
"Wlodzimierz",
""
]
] |
A model of a relativistic particle moving in the Liouville field is investigated. Symmetry group of the system is $SL(2,R)/Z_2$. The corresponding dynamical integrals describe full set of classical trajectories. Dynamical integrals are used for the gauge-invariant Hamiltonian reduction. The new scheme is proposed for quantization of the reduced system. Obtained quantum system reproduces classical symmetry. Physical aspects of the model are discussed.
| 12.106537 | 10.03761 | 11.834105 | 9.597707 | 9.912195 | 10.231731 | 9.98801 | 9.720012 | 9.936557 | 10.236035 | 9.451995 | 9.638483 | 10.685386 | 9.872661 | 9.561543 | 9.819619 | 9.210082 | 9.596538 | 10.103641 | 10.357863 | 9.686417 |
hep-th/0410041
|
Vyacheslav Rychkov
|
Vyacheslav S. Rychkov
|
Classical Black Hole Production In Quantum Particle Collisions
|
5 pages, 7 figures; talk given at the 6th Alexander Friedmann
International Seminar on Gravitation and Cosmology, Cargese, France, June
28-July 3, 2004; to appear in the proceedings (Int.J.Mod.Phys.A); v2: typos
corrected
|
Int.J.Mod.Phys. A20 (2005) 2398-2402
|
10.1142/S0217751X05024687
|
ITFA-2004-43
|
hep-th gr-qc hep-ph
| null |
The semiclassical picture of black hole production in trans-Planckian
elementary particle collisions is reviewed.
|
[
{
"created": "Tue, 5 Oct 2004 09:53:35 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Oct 2004 12:30:22 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Rychkov",
"Vyacheslav S.",
""
]
] |
The semiclassical picture of black hole production in trans-Planckian elementary particle collisions is reviewed.
| 24.406849 | 10.691899 | 8.714527 | 9.421053 | 8.775497 | 8.820754 | 10.420948 | 9.480824 | 8.72875 | 11.656995 | 12.660867 | 14.686764 | 12.506261 | 11.659636 | 13.172728 | 13.396875 | 13.185268 | 14.306456 | 11.193039 | 11.444693 | 15.841267 |
1508.04594
|
Mir Faizal
|
Mir Faizal, Prince A. Ganai
|
Lorentz Symmetry Breaking in $\mathcal{N} =2$ Superspace
|
9 pages, 0 figures, Accepted for publication in EPL
|
Europhys. Lett. 111: 21001, 2015
|
10.1209/0295-5075/111/21001
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we will study the deformation of a three dimensional theory
with $\mathcal{N} =2$ supersymmetry. This theory will be deformed by the
presence of a constant vector field. This deformation will break the Lorentz
symmetry. So, we will analyse this theory using $\mathcal{N} =2$ aether
superspace. The $\mathcal{N} =2$ aether superspace will be obtained from a
deformation of the usual $\mathcal{N} =2$ superspace. This will be done by
deforming the generators of the three dimensional $\mathcal{N} =2$
supersymmetry. After analysing this deformed superalgebra, we will derive an
explicit expression for the superspace propagators in this deformed superspace.
Finally, we will use these propagators for performing perturbative
calculations.
|
[
{
"created": "Wed, 19 Aug 2015 10:53:07 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Sep 2015 22:32:59 GMT",
"version": "v2"
}
] |
2015-09-11
|
[
[
"Faizal",
"Mir",
""
],
[
"Ganai",
"Prince A.",
""
]
] |
In this paper, we will study the deformation of a three dimensional theory with $\mathcal{N} =2$ supersymmetry. This theory will be deformed by the presence of a constant vector field. This deformation will break the Lorentz symmetry. So, we will analyse this theory using $\mathcal{N} =2$ aether superspace. The $\mathcal{N} =2$ aether superspace will be obtained from a deformation of the usual $\mathcal{N} =2$ superspace. This will be done by deforming the generators of the three dimensional $\mathcal{N} =2$ supersymmetry. After analysing this deformed superalgebra, we will derive an explicit expression for the superspace propagators in this deformed superspace. Finally, we will use these propagators for performing perturbative calculations.
| 4.415324 | 3.651018 | 4.445802 | 3.71597 | 3.863232 | 3.748863 | 3.633957 | 3.850979 | 3.826038 | 4.348043 | 3.837993 | 3.971333 | 4.270082 | 3.992121 | 4.097455 | 3.944787 | 3.873925 | 3.933908 | 3.842522 | 4.317206 | 3.976163 |
1811.10442
|
Mehdi Saravani
|
Mehdi Saravani
|
Casimir Effect for Nonlocal Field Theories with Continuum Massive Modes
| null | null |
10.1088/1361-6382/ab050c
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we study the Casimir force for a class of Lorentzian nonlocal
field theories. These theories include a continuum of massive excitations. In
this regard, the effect of continuum massive modes on Casimir force is of
interest. We focus on the simplest case of two absorbing parallel planes in 1+1
dimensions, and we show that unlike local field theories, the thickness of the
absorbing "walls" changes the value of Casimir force.
|
[
{
"created": "Mon, 26 Nov 2018 15:19:15 GMT",
"version": "v1"
}
] |
2019-03-13
|
[
[
"Saravani",
"Mehdi",
""
]
] |
In this paper, we study the Casimir force for a class of Lorentzian nonlocal field theories. These theories include a continuum of massive excitations. In this regard, the effect of continuum massive modes on Casimir force is of interest. We focus on the simplest case of two absorbing parallel planes in 1+1 dimensions, and we show that unlike local field theories, the thickness of the absorbing "walls" changes the value of Casimir force.
| 10.428461 | 10.250562 | 10.417814 | 10.025352 | 9.509397 | 10.649976 | 11.932137 | 9.310599 | 10.110831 | 11.266183 | 9.843158 | 9.941039 | 9.604535 | 9.785325 | 9.638051 | 9.924603 | 10.239319 | 9.38008 | 10.058869 | 10.214492 | 10.031528 |
2211.14883
|
Run-Qiu Yang
|
Ze Li, Zi-Qing Xiao and Run-Qiu Yang
|
On holographic time-like entanglement entropy
|
Corrected a few typos of figures and main text; Added a brief
discussion on the ambiguity of the imaginary part from the choice of branch.
Accepted by JHEP
|
JHEP 04 (2023) 004
|
10.1007/JHEP04(2023)004
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In order to study the pseudo entropy of time-like subregions holographically,
the previous smooth space-like extremal surface was recently generalized to mix
space-like and time-like segments and the area becomes complex value. This
paper finds that, if one tries to use such kind of piecewise smooth extremal
surfaces to compute time-like entanglement entropy holographically, the complex
area is not unique in general. We then generalize the original holographic
proposal of space-like entanglement entropy to pick up a unique area from all
allowed ``space-like+time-like'' piecewise smooth extremal surfaces for a
time-like subregion. We will give some concrete examples to show the
correctness of our proposal.
|
[
{
"created": "Sun, 27 Nov 2022 16:40:05 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Mar 2023 13:08:22 GMT",
"version": "v2"
}
] |
2023-04-06
|
[
[
"Li",
"Ze",
""
],
[
"Xiao",
"Zi-Qing",
""
],
[
"Yang",
"Run-Qiu",
""
]
] |
In order to study the pseudo entropy of time-like subregions holographically, the previous smooth space-like extremal surface was recently generalized to mix space-like and time-like segments and the area becomes complex value. This paper finds that, if one tries to use such kind of piecewise smooth extremal surfaces to compute time-like entanglement entropy holographically, the complex area is not unique in general. We then generalize the original holographic proposal of space-like entanglement entropy to pick up a unique area from all allowed ``space-like+time-like'' piecewise smooth extremal surfaces for a time-like subregion. We will give some concrete examples to show the correctness of our proposal.
| 13.654329 | 15.094764 | 15.889192 | 12.50127 | 12.905898 | 12.991782 | 14.717256 | 12.383575 | 12.729701 | 17.983076 | 12.667977 | 11.742032 | 13.758005 | 12.409981 | 12.591769 | 13.005405 | 12.564526 | 12.813633 | 12.743895 | 13.912494 | 12.177145 |
hep-th/0309201
|
Brian Wecht
|
Ken Intriligator and Brian Wecht
|
RG Fixed Points and Flows in SQCD with Adjoints
|
59 pages, 29 figures
|
Nucl.Phys.B677:223-272,2004
|
10.1016/j.nuclphysb.2003.10.033
| null |
hep-th
| null |
We map out and explore the zoo of possible 4d N=1 superconformal theories
which are obtained as RG fixed points of N=1 SQCD with N_f fundamental and N_a
adjoint matter representations. Using "a-maximization," we obtain exact
operator dimensions at all RG fixed points and classify all relevant,
Landau-Ginzburg type, adjoint superpotential deformations. Such deformations
can be used to RG flow to new SCFTs, which are then similarly analyzed.
Remarkably, the resulting 4d SCFT classification coincides with Arnold's ADE
singularity classification. The exact superconformal R-charge and the central
charge a are computed for all of these theories. RG flows between the different
fixed points are analyzed, and all flows are verified to be compatible with the
conjectured a-theorem.
|
[
{
"created": "Fri, 19 Sep 2003 19:25:04 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Intriligator",
"Ken",
""
],
[
"Wecht",
"Brian",
""
]
] |
We map out and explore the zoo of possible 4d N=1 superconformal theories which are obtained as RG fixed points of N=1 SQCD with N_f fundamental and N_a adjoint matter representations. Using "a-maximization," we obtain exact operator dimensions at all RG fixed points and classify all relevant, Landau-Ginzburg type, adjoint superpotential deformations. Such deformations can be used to RG flow to new SCFTs, which are then similarly analyzed. Remarkably, the resulting 4d SCFT classification coincides with Arnold's ADE singularity classification. The exact superconformal R-charge and the central charge a are computed for all of these theories. RG flows between the different fixed points are analyzed, and all flows are verified to be compatible with the conjectured a-theorem.
| 10.183049 | 8.786928 | 11.513377 | 8.373578 | 9.178672 | 8.194442 | 8.401433 | 8.628638 | 8.178711 | 13.357898 | 8.909328 | 9.118135 | 10.255764 | 8.88933 | 9.059941 | 8.888915 | 9.024814 | 8.799717 | 8.996963 | 9.638405 | 8.873318 |
2406.18475
|
Daniel Schubring
|
Vladimir Rosenhaus and Daniel Schubring
|
Strong wave turbulence in strongly local large $N$ theories
| null | null | null | null |
hep-th astro-ph.HE cond-mat.stat-mech physics.flu-dyn
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study wave turbulence in systems with two special properties: a large
number of fields (large $N$) and a nonlinear interaction that is strongly local
in momentum space. The first property allows us to find the kinetic equation at
all interaction strengths -- both weak and strong, at leading order in $1/N$.
The second allows us to turn the kinetic equation -- an integral equation --
into a differential equation. We find stationary solutions for the occupation
number as a function of wave number, valid at all scales. As expected, on the
weak coupling end the solutions asymptote to Kolmogorov-Zakharov scaling. On
the strong coupling end, they asymptote to either the widely conjectured
generalized Phillips spectrum (also known as critical balance), or a
Kolmogorov-like scaling exponent.
|
[
{
"created": "Wed, 26 Jun 2024 16:35:42 GMT",
"version": "v1"
}
] |
2024-06-27
|
[
[
"Rosenhaus",
"Vladimir",
""
],
[
"Schubring",
"Daniel",
""
]
] |
We study wave turbulence in systems with two special properties: a large number of fields (large $N$) and a nonlinear interaction that is strongly local in momentum space. The first property allows us to find the kinetic equation at all interaction strengths -- both weak and strong, at leading order in $1/N$. The second allows us to turn the kinetic equation -- an integral equation -- into a differential equation. We find stationary solutions for the occupation number as a function of wave number, valid at all scales. As expected, on the weak coupling end the solutions asymptote to Kolmogorov-Zakharov scaling. On the strong coupling end, they asymptote to either the widely conjectured generalized Phillips spectrum (also known as critical balance), or a Kolmogorov-like scaling exponent.
| 8.977164 | 9.277778 | 8.799627 | 9.247446 | 8.705452 | 9.059654 | 8.761459 | 8.660394 | 9.290668 | 10.076401 | 8.730355 | 8.692484 | 8.920224 | 8.480171 | 8.506863 | 8.445556 | 8.775606 | 8.557441 | 8.398915 | 8.935237 | 8.681859 |
1612.05319
|
Andrei Zelnikov
|
Valeri P. Frolov and Andrei Zelnikov
|
Quantum radiation from a sandwich black hole
|
20 pages, 16 figures, new references added
|
Phys. Rev. D 95, 044042 (2017)
|
10.1103/PhysRevD.95.044042
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss quantum radiation of a massless scalar field from a spherically
symmetric nonsingular black hole with finite lifetime. Namely, we discuss a
sandwich black-hole model, where a black hole is originally created by a
collapse of a null shell of mass $M$, and later, after some time $\Delta V$, it
is disrupted by the collapse of the other shell with negative mass $-M$. We
assume that between the shells the metric is static and either coincides with
the Hayward metric or with a special generalization of it. We show that in both
cases for sufficiently large parameter $\Delta V$ the radiation after the
formation of the black hole practically coincides with the Hawking result. We
also calculated the radiation, emitted from the black hole interior. This
radiation contains peak at the moment when the second shell intersects the
inner horizon. In the standard sandwich metric (with the Hayward interior) this
outburst of the energy is exponentially large. In the modified metric, which
includes additional non-trivial redshift parameter, this exponent is
suppressed. This is a result of significant decrease of the surface gravity of
the inner horizon in the latter case. We discuss possible consequences of this
result in context of the self-consistency requirement for nonsingular models
with quantum radiation.
|
[
{
"created": "Fri, 16 Dec 2016 00:20:40 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Feb 2017 23:45:47 GMT",
"version": "v2"
}
] |
2017-03-08
|
[
[
"Frolov",
"Valeri P.",
""
],
[
"Zelnikov",
"Andrei",
""
]
] |
We discuss quantum radiation of a massless scalar field from a spherically symmetric nonsingular black hole with finite lifetime. Namely, we discuss a sandwich black-hole model, where a black hole is originally created by a collapse of a null shell of mass $M$, and later, after some time $\Delta V$, it is disrupted by the collapse of the other shell with negative mass $-M$. We assume that between the shells the metric is static and either coincides with the Hayward metric or with a special generalization of it. We show that in both cases for sufficiently large parameter $\Delta V$ the radiation after the formation of the black hole practically coincides with the Hawking result. We also calculated the radiation, emitted from the black hole interior. This radiation contains peak at the moment when the second shell intersects the inner horizon. In the standard sandwich metric (with the Hayward interior) this outburst of the energy is exponentially large. In the modified metric, which includes additional non-trivial redshift parameter, this exponent is suppressed. This is a result of significant decrease of the surface gravity of the inner horizon in the latter case. We discuss possible consequences of this result in context of the self-consistency requirement for nonsingular models with quantum radiation.
| 9.882307 | 10.053584 | 10.123117 | 9.35746 | 10.626431 | 10.020865 | 10.372913 | 9.250743 | 10.074928 | 9.898655 | 9.822211 | 9.954145 | 9.706342 | 9.662553 | 9.712819 | 9.715789 | 9.873937 | 9.775121 | 9.604961 | 9.670045 | 9.47517 |
hep-th/0001108
|
Dmitri Gitman
|
V.G. Bagrov (U. of Tomsk), D.M. Gitman (U. of Sao Paulo), A. Levin (U.
of Nottingham), V.B. Tlyachev (U. of Tomsk)
|
Aharonov-Bohm Effect in Cyclotron and Synchrotron Radiations
|
38 pages, LaTex file
|
Nucl.Phys. B605 (2001) 425-454
|
10.1016/S0550-3213(01)00134-1
|
Publicacao IFUSP 1395/2000
|
hep-th
| null |
We study the impact of Aharonov-Bohm solenoid on the radiation of a charged
particle moving in a constant uniform magnetic field. With this aim in view,
exact solutions of Klein-Gordon and Dirac equations are found in the
magnetic-solenoid field. Using such solutions, we calculate exactly all the
characteristics of one-photon spontaneous radiation both for spinless and
spinning particle. Considering non-relativistic and relativistic
approximations, we analyze cyclotron and synchrotron radiations in detail.
Radiation peculiarities caused by the presence of the solenoid may be
considered as a manifestation of Aharonov-Bohm effect in the radiation. In
particular, it is shown that new spectral lines appear in the radiation
spectrum. Due to angular distribution peculiarities of the radiation intensity,
these lines can in principle be isolated from basic cyclotron and synchrotron
radiation spectra
|
[
{
"created": "Tue, 18 Jan 2000 15:11:50 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Nov 2000 14:01:54 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Bagrov",
"V. G.",
"",
"U. of Tomsk"
],
[
"Gitman",
"D. M.",
"",
"U. of Sao Paulo"
],
[
"Levin",
"A.",
"",
"U.\n of Nottingham"
],
[
"Tlyachev",
"V. B.",
"",
"U. of Tomsk"
]
] |
We study the impact of Aharonov-Bohm solenoid on the radiation of a charged particle moving in a constant uniform magnetic field. With this aim in view, exact solutions of Klein-Gordon and Dirac equations are found in the magnetic-solenoid field. Using such solutions, we calculate exactly all the characteristics of one-photon spontaneous radiation both for spinless and spinning particle. Considering non-relativistic and relativistic approximations, we analyze cyclotron and synchrotron radiations in detail. Radiation peculiarities caused by the presence of the solenoid may be considered as a manifestation of Aharonov-Bohm effect in the radiation. In particular, it is shown that new spectral lines appear in the radiation spectrum. Due to angular distribution peculiarities of the radiation intensity, these lines can in principle be isolated from basic cyclotron and synchrotron radiation spectra
| 6.506687 | 6.764389 | 6.992907 | 6.372398 | 6.782268 | 6.492067 | 7.015789 | 6.771201 | 5.915264 | 7.247411 | 6.291057 | 6.312599 | 6.446972 | 6.52372 | 6.540531 | 6.365297 | 6.227065 | 6.227015 | 6.501552 | 6.492791 | 6.279479 |
2204.07140
|
Laurentiu Rodina
|
Li-Yuan Chiang, Yu-tin Huang, Laurentiu Rodina, He-Chen Weng
|
De-projecting the EFThedron
|
v2. Corrected normalization of scalar loop amplitude
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
The space of Wilson coefficients of EFT that can be UV completed into
consistent theories was recently shown to be described analytically by a
positive geometry, termed the EFThedron. However, this geometry, as well as
complementary numerical methods of semi-definite programming, have so far
focused on the positivity of the partial wave expansion, which allows bounding
only ratios of couplings. In this paper we describe how the unitarity upper
bound of the partial waves can be incorporated. This new problem can be
formulated in terms of the well known $L$-moment problem, which we generalize
and solve from a geometrical perspective. We find the non-projective
generalization of the EFThedron has an infinite number of non-linear facets,
which in some cases have remarkably simple descriptions. We use these results
to derive bounds on single couplings, finding that the leading derivative
operators are bounded by unity, when normalized by the cut-off scale and loop
factors. For general operators of mass dimension $2k$ we find the upper bound
is heavily suppressed at large $k$, with an $1/k$ fall-off.
|
[
{
"created": "Thu, 14 Apr 2022 17:53:40 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Apr 2022 17:33:48 GMT",
"version": "v2"
}
] |
2022-04-19
|
[
[
"Chiang",
"Li-Yuan",
""
],
[
"Huang",
"Yu-tin",
""
],
[
"Rodina",
"Laurentiu",
""
],
[
"Weng",
"He-Chen",
""
]
] |
The space of Wilson coefficients of EFT that can be UV completed into consistent theories was recently shown to be described analytically by a positive geometry, termed the EFThedron. However, this geometry, as well as complementary numerical methods of semi-definite programming, have so far focused on the positivity of the partial wave expansion, which allows bounding only ratios of couplings. In this paper we describe how the unitarity upper bound of the partial waves can be incorporated. This new problem can be formulated in terms of the well known $L$-moment problem, which we generalize and solve from a geometrical perspective. We find the non-projective generalization of the EFThedron has an infinite number of non-linear facets, which in some cases have remarkably simple descriptions. We use these results to derive bounds on single couplings, finding that the leading derivative operators are bounded by unity, when normalized by the cut-off scale and loop factors. For general operators of mass dimension $2k$ we find the upper bound is heavily suppressed at large $k$, with an $1/k$ fall-off.
| 13.439486 | 13.07828 | 15.077113 | 12.814192 | 13.867099 | 11.804048 | 13.121872 | 12.621325 | 12.222051 | 16.135666 | 12.809568 | 13.125525 | 14.141469 | 13.229996 | 13.325572 | 12.961724 | 13.420478 | 13.43164 | 13.605662 | 14.352806 | 13.238001 |
1103.5909
|
Vasilis Niarchos
|
Vasilis Niarchos
|
Comments on F-maximization and R-symmetry in 3D SCFTs
|
17 pages, 3 figures; v2 a reference has been added, a missing factor
of 2 has been corrected in eq (3.3) and the numerical results have been
accordingly updated. The new results do not show any obvious signs of
violation of previously obtained bounds. A potential disagreement with a
postulated Seiberg-like duality is noted
|
J.Phys.A44:305404,2011
|
10.1088/1751-8113/44/30/305404
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We report preliminary results on the recently proposed F-maximization
principle in 3D SCFTs. We compute numerically in the large-N limit the free
energy on the three-sphere of an N=2 Chern-Simons-Matter theory with a single
adjoint chiral superfield which is known to exhibit a pattern of accidental
symmetries associated to chiral superfields that hit the unitarity bound and
become free. We observe that the F-maximization principle produces a U(1)
R-symmetry consistent with previously obtained bounds but inconsistent with a
postulated Seiberg-like duality. Potential modifications of the principle
associated to the decoupling fields do not appear to be sufficient to account
for the observed violations.
|
[
{
"created": "Wed, 30 Mar 2011 12:41:20 GMT",
"version": "v1"
},
{
"created": "Wed, 4 May 2011 22:43:03 GMT",
"version": "v2"
}
] |
2011-09-21
|
[
[
"Niarchos",
"Vasilis",
""
]
] |
We report preliminary results on the recently proposed F-maximization principle in 3D SCFTs. We compute numerically in the large-N limit the free energy on the three-sphere of an N=2 Chern-Simons-Matter theory with a single adjoint chiral superfield which is known to exhibit a pattern of accidental symmetries associated to chiral superfields that hit the unitarity bound and become free. We observe that the F-maximization principle produces a U(1) R-symmetry consistent with previously obtained bounds but inconsistent with a postulated Seiberg-like duality. Potential modifications of the principle associated to the decoupling fields do not appear to be sufficient to account for the observed violations.
| 10.447262 | 9.379081 | 12.216812 | 9.361979 | 10.093119 | 9.216294 | 10.395866 | 10.146263 | 10.004553 | 12.886371 | 9.254456 | 9.765081 | 10.985081 | 9.715582 | 9.80607 | 9.944916 | 9.555081 | 9.943783 | 9.875422 | 10.640187 | 9.831822 |
hep-th/9606180
| null |
I.P. Ennes, A.V. Ramallo and J. M. Sanchez de Santos
|
On the free field realization of the osp(1|2) current algebra
|
11 pages, phyzzx
|
Phys.Lett. B389 (1996) 485-493
|
10.1016/S0370-2693(96)01291-9
|
US-FT-31/96
|
hep-th
| null |
The free field representation of the osp(1|2) current algebra is analyzed.
The four point conformal blocks of the theory are studied. The structure
constants for the product of an arbitrary primary operator and a primary field
that transforms according to the fundamental representation of osp(1|2) are
explicitly calculated.
|
[
{
"created": "Thu, 27 Jun 1996 11:01:31 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Ennes",
"I. P.",
""
],
[
"Ramallo",
"A. V.",
""
],
[
"de Santos",
"J. M. Sanchez",
""
]
] |
The free field representation of the osp(1|2) current algebra is analyzed. The four point conformal blocks of the theory are studied. The structure constants for the product of an arbitrary primary operator and a primary field that transforms according to the fundamental representation of osp(1|2) are explicitly calculated.
| 8.094809 | 5.323123 | 8.731294 | 6.039012 | 6.092493 | 5.52271 | 5.721463 | 6.038951 | 5.84092 | 9.041727 | 6.146665 | 6.863097 | 8.810178 | 7.020262 | 7.077104 | 6.542388 | 7.212438 | 7.147036 | 7.114773 | 8.190998 | 7.102631 |
1607.02843
|
Song He
|
Song He, Yong Zhang
|
Connected formulas for amplitudes in standard model
|
18 pages, 3 figures
| null |
10.1007/JHEP03(2017)093
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Witten's twistor string theory has led to new representations of S-matrix in
massless QFT as a single object, including Cachazo-He-Yuan formulas in general
and connected formulas in four dimensions. As a first step towards more
realistic processes of the standard model, we extend the construction to QCD
tree amplitudes with massless quarks and those with a Higgs boson. For both
cases, we find connected formulas in four dimensions for all multiplicities
which are very similar to the one for Yang-Mills amplitudes. The formula for
quark-gluon color-ordered amplitudes differs from the pure-gluon case only by a
Jacobian factor that depends on flavors and orderings of the quarks. In the
formula for Higgs plus multi-parton amplitudes, the massive Higgs boson is
effectively described by two additional massless legs which do not appear in
the Parke-Taylor factor. The latter also represents the first
twistor-string/connected formula for form factors.
|
[
{
"created": "Mon, 11 Jul 2016 07:31:07 GMT",
"version": "v1"
}
] |
2017-04-05
|
[
[
"He",
"Song",
""
],
[
"Zhang",
"Yong",
""
]
] |
Witten's twistor string theory has led to new representations of S-matrix in massless QFT as a single object, including Cachazo-He-Yuan formulas in general and connected formulas in four dimensions. As a first step towards more realistic processes of the standard model, we extend the construction to QCD tree amplitudes with massless quarks and those with a Higgs boson. For both cases, we find connected formulas in four dimensions for all multiplicities which are very similar to the one for Yang-Mills amplitudes. The formula for quark-gluon color-ordered amplitudes differs from the pure-gluon case only by a Jacobian factor that depends on flavors and orderings of the quarks. In the formula for Higgs plus multi-parton amplitudes, the massive Higgs boson is effectively described by two additional massless legs which do not appear in the Parke-Taylor factor. The latter also represents the first twistor-string/connected formula for form factors.
| 7.764622 | 7.957072 | 9.431182 | 7.621809 | 7.637214 | 7.64535 | 8.130408 | 7.751617 | 7.398097 | 9.980847 | 7.716972 | 7.761405 | 7.737238 | 7.370416 | 7.3596 | 7.338968 | 7.492269 | 7.421169 | 7.279317 | 7.65332 | 7.444659 |
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