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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2404.03456
|
Damian van de Heisteeg
|
Damian van de Heisteeg
|
Charting the Complex Structure Landscape of F-theory
|
35 pages plus appendices, 4 notebooks
| null | null | null |
hep-th math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explore the landscape of F-theory compactifications on Calabi--Yau
fourfolds whose complex structure moduli space is the thrice-punctured sphere.
As a first part, we enumerate all such Calabi--Yau fourfolds under the
additional requirement that it has a large complex structure and conifold point
at two of the punctures. We find 14 monodromy tuples by demanding the monodromy
around infinity to be quasi-unipotent. As second part, we study the four
different types of phases arising at infinity. For each we consider a working
example where we determine the leading periods and other physical couplings. We
also included a notebook that sets up the period vectors for any of these
models.
|
[
{
"created": "Thu, 4 Apr 2024 14:01:47 GMT",
"version": "v1"
}
] |
2024-04-05
|
[
[
"van de Heisteeg",
"Damian",
""
]
] |
We explore the landscape of F-theory compactifications on Calabi--Yau fourfolds whose complex structure moduli space is the thrice-punctured sphere. As a first part, we enumerate all such Calabi--Yau fourfolds under the additional requirement that it has a large complex structure and conifold point at two of the punctures. We find 14 monodromy tuples by demanding the monodromy around infinity to be quasi-unipotent. As second part, we study the four different types of phases arising at infinity. For each we consider a working example where we determine the leading periods and other physical couplings. We also included a notebook that sets up the period vectors for any of these models.
|
hep-th/0205078
|
Supriya Kar
|
Supriya Kar and Sudhakar Panda
|
Electromagnetic Strings: Complementarity between Time and Temperature
|
32 pages, 2 figures, renamed title, added clarification on winding
modes, corrected typos, added references
|
JHEP 0211:052,2002
|
10.1088/1126-6708/2002/11/052
| null |
hep-th
| null |
We investigate some of the intricate features in a gravity decoupling limit
of a open bosonic string theory, in a constant electromagnetic (EM-) field. We
explain the subtle nature of space-time at short distances, due to its
entanglement with the gauge field windings in the theory. Incorporating the
mass-shell condition in the theory, we show that the time coordinate is small,
of the order of EM-string scale, and the space coordinates are large. We
perform a careful analysis in the critical regime to describe the decoupling of
a series of gauge-string windings in successions, just below the Hagedorn
temperature. We argue for the condensation of gauge-string at the Hagedorn
temperature, which is followed by the decoupling of tachyonic particles. We
demonstrate the phenomena by revoking the effective noncommutative dynamics for
the D(3)-brane and obtain nonlinear corrections to U(1) gauge theory. We
discuss the spontaneous breaking of noncommutative U(1) symmetry and show that
the Hagedorn phase is described by the noninteracting gauge particles. The
notion of time reappears in the phase at the expense of temperature. It
suggests a complementarity between two distinct notions, time and temperature,
at short distances.
|
[
{
"created": "Wed, 8 May 2002 23:51:32 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Oct 2002 05:11:59 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Kar",
"Supriya",
""
],
[
"Panda",
"Sudhakar",
""
]
] |
We investigate some of the intricate features in a gravity decoupling limit of a open bosonic string theory, in a constant electromagnetic (EM-) field. We explain the subtle nature of space-time at short distances, due to its entanglement with the gauge field windings in the theory. Incorporating the mass-shell condition in the theory, we show that the time coordinate is small, of the order of EM-string scale, and the space coordinates are large. We perform a careful analysis in the critical regime to describe the decoupling of a series of gauge-string windings in successions, just below the Hagedorn temperature. We argue for the condensation of gauge-string at the Hagedorn temperature, which is followed by the decoupling of tachyonic particles. We demonstrate the phenomena by revoking the effective noncommutative dynamics for the D(3)-brane and obtain nonlinear corrections to U(1) gauge theory. We discuss the spontaneous breaking of noncommutative U(1) symmetry and show that the Hagedorn phase is described by the noninteracting gauge particles. The notion of time reappears in the phase at the expense of temperature. It suggests a complementarity between two distinct notions, time and temperature, at short distances.
|
2011.08258
|
Andrew Svesko
|
Andrew Svesko
|
Extending Charged Holographic R\'enyi Entropy
|
42 pages, 12 figures, minor changes, to appear in Classical and
Quantum Gravity
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Motivated by extended black hole thermodynamics, we generalize the R\'enyi
entropy of charged holographic conformal field theories (CFTs) in
$d$-dimensions. Specifically, following (1807.09215), we extend the quench
description of the R\'enyi entropy of globally charged holographic CFTs by
including pressure variations of charged hyperbolically sliced anti de Sitter
black holes. We provide an exhaustive analysis of the new type of charged
R\'enyi entropy, where we find an interesting interplay between a parameter
controlling the pressure of the black hole and its charge. A field theoretic
interpretation of this extended charged R\'enyi entropy is given. In
particular, in $d=2$, where the bulk geometry becomes the charged Ba\~nados,
Teitelboim, Zanelli black hole, we write down the extended charged R\'enyi
entropy in terms of the twist operators of the charged field theory. An area
law prescription for the extended R\'enyi entropy is formulated. We comment on
several avenues for future work, including how global charge conservation
relates to black hole super-entropicity.
|
[
{
"created": "Mon, 16 Nov 2020 20:28:02 GMT",
"version": "v1"
},
{
"created": "Thu, 6 May 2021 12:50:05 GMT",
"version": "v2"
}
] |
2021-05-07
|
[
[
"Svesko",
"Andrew",
""
]
] |
Motivated by extended black hole thermodynamics, we generalize the R\'enyi entropy of charged holographic conformal field theories (CFTs) in $d$-dimensions. Specifically, following (1807.09215), we extend the quench description of the R\'enyi entropy of globally charged holographic CFTs by including pressure variations of charged hyperbolically sliced anti de Sitter black holes. We provide an exhaustive analysis of the new type of charged R\'enyi entropy, where we find an interesting interplay between a parameter controlling the pressure of the black hole and its charge. A field theoretic interpretation of this extended charged R\'enyi entropy is given. In particular, in $d=2$, where the bulk geometry becomes the charged Ba\~nados, Teitelboim, Zanelli black hole, we write down the extended charged R\'enyi entropy in terms of the twist operators of the charged field theory. An area law prescription for the extended R\'enyi entropy is formulated. We comment on several avenues for future work, including how global charge conservation relates to black hole super-entropicity.
|
hep-th/0110048
|
Cmh
|
C.M. Hull
|
Domain Wall and de Sitter Solutions of Gauged Supergravity
|
References added. 20 pages
|
JHEP 0111:061,2001
|
10.1088/1126-6708/2001/11/061
|
QMUL-PH-01-11
|
hep-th
| null |
BPS domain wall solutions of gauged supergravities are found, including those
theories which have non-compact gauge groups. These include models that have
both an unstable de Sitter solution and stable domain wall solutions.
|
[
{
"created": "Thu, 4 Oct 2001 18:58:58 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Oct 2001 16:48:29 GMT",
"version": "v2"
}
] |
2010-02-03
|
[
[
"Hull",
"C. M.",
""
]
] |
BPS domain wall solutions of gauged supergravities are found, including those theories which have non-compact gauge groups. These include models that have both an unstable de Sitter solution and stable domain wall solutions.
|
1706.04605
|
Nikita G. Misuna
|
Nikita Misuna
|
On current contribution to Fronsdal equations
|
15 pages. V3: typos corrected; references added; Introduction
extended. To appear in Physics Letters B
|
Phys. Lett. B 778 (2018) 71
|
10.1016/j.physletb.2018.01.019
|
FIAN/TD/2017-15
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explore a local form of second-order Vasiliev equations proposed in
[arXiv:1706.03718] and obtain an explicit expression for quadratic corrections
to bosonic Fronsdal equations, generated by gauge-invariant higher-spin
currents. Our analysis is performed for general phase factor, and for the case
of parity-invariant theory we find the agreement with expressions for cubic
vertices available in the literature. This provides an additional indication
that field redefinition proposed in [arXiv:1706.03718] is the proper one.
|
[
{
"created": "Wed, 14 Jun 2017 17:44:33 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Sep 2017 17:38:21 GMT",
"version": "v2"
},
{
"created": "Mon, 15 Jan 2018 15:04:25 GMT",
"version": "v3"
}
] |
2018-04-24
|
[
[
"Misuna",
"Nikita",
""
]
] |
We explore a local form of second-order Vasiliev equations proposed in [arXiv:1706.03718] and obtain an explicit expression for quadratic corrections to bosonic Fronsdal equations, generated by gauge-invariant higher-spin currents. Our analysis is performed for general phase factor, and for the case of parity-invariant theory we find the agreement with expressions for cubic vertices available in the literature. This provides an additional indication that field redefinition proposed in [arXiv:1706.03718] is the proper one.
|
hep-th/0606284
|
Yassen Stanev
|
G.C. Rossi, E. Sokatchev and Ya.S. Stanev
|
On the all-order perturbative finiteness of the deformed N=4 SYM theory
|
LaTeX, 28 pages, 5 figures
|
Nucl.Phys.B754:329-350,2006
|
10.1016/j.nuclphysb.2006.08.011
|
LAPTH-1153, ROM2F/2006/13
|
hep-th
| null |
We prove that the chiral propagator of the deformed N=4 SYM theory can be
made finite to all orders in perturbation theory for any complex value of the
deformation parameter. For any such value the set of finite deformed theories
can be parametrized by a whole complex function of the coupling constant g. We
reveal a new protection mechanism for chiral operators of dimension three.
These are obtained by differentiating the Lagrangian with respect to the
independent coupling constants. A particular combination of them is a CPO
involving only chiral matter. Its all-order form is derived directly from the
finiteness condition. The procedure is confirmed perturbatively through order
g^6.
|
[
{
"created": "Fri, 30 Jun 2006 14:42:47 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Rossi",
"G. C.",
""
],
[
"Sokatchev",
"E.",
""
],
[
"Stanev",
"Ya. S.",
""
]
] |
We prove that the chiral propagator of the deformed N=4 SYM theory can be made finite to all orders in perturbation theory for any complex value of the deformation parameter. For any such value the set of finite deformed theories can be parametrized by a whole complex function of the coupling constant g. We reveal a new protection mechanism for chiral operators of dimension three. These are obtained by differentiating the Lagrangian with respect to the independent coupling constants. A particular combination of them is a CPO involving only chiral matter. Its all-order form is derived directly from the finiteness condition. The procedure is confirmed perturbatively through order g^6.
|
hep-th/0412012
|
Andreas Sykora
|
A. Sykora
|
The application of star-products to noncommutative geometry and gauge
theory
|
115 pages, Ph.D. Thesis
| null | null | null |
hep-th
| null |
We develop a formalism to realize algebras defined by relations on function
spaces. For this porpose we construct the Weyl-ordered star-product and present
a method how to calculate star-products with the help of commuting vector
fields. Concepts developed in noncommutative differential geometry will be
applied to this type of algebras and we construct actions for noncommutative
field theories. Derivations of star-products makes it further possible to
extend noncommutative gauge theory in the Seiberg-Witten formalism with
covariant derivatives. In the commutative limit these theories are becoming
gauge theories on curved backgrounds. We study observables of noncommutative
gauge theories and extend the concept of so called open Wilson lines to general
noncommutative gauge theories.
|
[
{
"created": "Wed, 1 Dec 2004 17:44:25 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Sykora",
"A.",
""
]
] |
We develop a formalism to realize algebras defined by relations on function spaces. For this porpose we construct the Weyl-ordered star-product and present a method how to calculate star-products with the help of commuting vector fields. Concepts developed in noncommutative differential geometry will be applied to this type of algebras and we construct actions for noncommutative field theories. Derivations of star-products makes it further possible to extend noncommutative gauge theory in the Seiberg-Witten formalism with covariant derivatives. In the commutative limit these theories are becoming gauge theories on curved backgrounds. We study observables of noncommutative gauge theories and extend the concept of so called open Wilson lines to general noncommutative gauge theories.
|
2203.13019
|
Paul Heslop
|
Paul Heslop
|
The SAGEX Review on Scattering Amplitudes, Chapter 8: Half BPS
correlators
|
53 pages, see also the overview article arXiv:2203.13011. v3: journal
version
| null |
10.1088/1751-8121/ac8c71
|
SAGEX-22-09
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Half BPS correlators in N=4 super Yang-Mills theory are key quantities both
in the AdS/CFT correspondence as well as in scattering amplitudes research.
They are dual at strong coupling to quantum gravity amplitudes. At weak
coupling on the other hand they contain all N=4 SYM amplitudes. They have been
found to possess a number of hidden symmetries, for example non-trivial
permutation symmetry of perturbative four-point integrands and a higher
dimensional conformal symmetry. Their study has enjoyed continuous progress
since the discovery of AdS/CFT and they are now some of the best understood
quantities of any four-dimensional quantum field theory.
In this review we outline the current knowledge of half BPS correlators,
emphasising these two co-existing relations to scattering amplitudes at strong
and weak coupling.
|
[
{
"created": "Thu, 24 Mar 2022 12:00:23 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Apr 2022 11:44:40 GMT",
"version": "v2"
},
{
"created": "Tue, 17 Jan 2023 14:40:42 GMT",
"version": "v3"
}
] |
2023-01-18
|
[
[
"Heslop",
"Paul",
""
]
] |
Half BPS correlators in N=4 super Yang-Mills theory are key quantities both in the AdS/CFT correspondence as well as in scattering amplitudes research. They are dual at strong coupling to quantum gravity amplitudes. At weak coupling on the other hand they contain all N=4 SYM amplitudes. They have been found to possess a number of hidden symmetries, for example non-trivial permutation symmetry of perturbative four-point integrands and a higher dimensional conformal symmetry. Their study has enjoyed continuous progress since the discovery of AdS/CFT and they are now some of the best understood quantities of any four-dimensional quantum field theory. In this review we outline the current knowledge of half BPS correlators, emphasising these two co-existing relations to scattering amplitudes at strong and weak coupling.
|
hep-th/0507257
|
Lev Kofman
|
Lev Kofman and Piljin Yi
|
Reheating the Universe after String Theory Inflation
|
45 pages, 4 figures, typos fixed, references and acknowledgement
updated
|
Phys.Rev.D72:106001,2005
|
10.1103/PhysRevD.72.106001
|
KIAS-P05037
|
hep-th astro-ph gr-qc hep-ph
| null |
In String theory realizations of inflation, the end point of inflation is
often brane-anti brane annihilation. We consider the processes of reheating of
the Standard Model universe after brane inflation. We identify the channels of
inflaton energy decay, cascading from tachyon annihilation through massive
closed string loops, KK modes, and brane displacement moduli to the lighter
standard model particles. Cosmological data constrains scenarios by putting
stringent limits on the fraction of reheating energy deposited in gravitons and
nonstandard sector massive relics. We estimate the energy deposited into
various light degrees of freedom in the open and closed string sectors, the
timing of reheating, and the reheating temperature. Production of gravitons is
significantly suppressed in warped inflation. However, we predict a residual
gravitational radiation background at the level $\Omega_{GW} \sim 10^{-8}$ of
the present cosmological energy density. We also extend our analysis to
multiple throat scenarios. A viable reheating would be possible in a single
throat or in a certain subclass of multiple throat scenarios of the KKLMMT type
inflation model, but overproduction of massive KK modes poses a serious
problem. The problem is quite severe if some inner manifold comes with
approximate isometries (angular KK modes) or if there exists a throat of modest
length other than the standard model throat, possibly associated with some
hidden sector (low-lying KK modes).
|
[
{
"created": "Wed, 27 Jul 2005 04:37:27 GMT",
"version": "v1"
},
{
"created": "Sat, 6 Aug 2005 00:46:04 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Kofman",
"Lev",
""
],
[
"Yi",
"Piljin",
""
]
] |
In String theory realizations of inflation, the end point of inflation is often brane-anti brane annihilation. We consider the processes of reheating of the Standard Model universe after brane inflation. We identify the channels of inflaton energy decay, cascading from tachyon annihilation through massive closed string loops, KK modes, and brane displacement moduli to the lighter standard model particles. Cosmological data constrains scenarios by putting stringent limits on the fraction of reheating energy deposited in gravitons and nonstandard sector massive relics. We estimate the energy deposited into various light degrees of freedom in the open and closed string sectors, the timing of reheating, and the reheating temperature. Production of gravitons is significantly suppressed in warped inflation. However, we predict a residual gravitational radiation background at the level $\Omega_{GW} \sim 10^{-8}$ of the present cosmological energy density. We also extend our analysis to multiple throat scenarios. A viable reheating would be possible in a single throat or in a certain subclass of multiple throat scenarios of the KKLMMT type inflation model, but overproduction of massive KK modes poses a serious problem. The problem is quite severe if some inner manifold comes with approximate isometries (angular KK modes) or if there exists a throat of modest length other than the standard model throat, possibly associated with some hidden sector (low-lying KK modes).
|
1511.02780
|
Peter Lowdon
|
Peter Lowdon
|
Conditions on the violation of the cluster decomposition property in QCD
|
13 pages; v3: additional comments added, matches published version
|
J. Math. Phys. 57, 102302 (2016)
|
10.1063/1.4965715
|
ZU-TH 35/15
|
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The behaviour of correlators at large distances plays an important role in
the dynamics of quantum field theories. In many instances, correlators satisfy
the so-called \textit{cluster decomposition property} (CDP), which means that
they tend to zero for space-like asymptotic distances. However, under certain
conditions it is possible for correlators to violate this property. In the
context of quantum chromodynamics (QCD), a violation of the CDP for correlators
of clusters involving coloured fields implies that the strength of the
correlations between the coloured degrees of freedom in these clusters
increases at large distances, which is a sufficient condition for confinement.
In this paper we establish a criterion for when the CDP is violated. By
applying this criterion to QCD, it turns out that certain lattice results
involving the quark and gluon propagators can be interpreted as evidence that
quarks and gluons are confined due to a violation of the CDP.
|
[
{
"created": "Mon, 9 Nov 2015 17:38:21 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Apr 2016 15:01:39 GMT",
"version": "v2"
},
{
"created": "Thu, 27 Oct 2016 20:57:16 GMT",
"version": "v3"
}
] |
2016-10-31
|
[
[
"Lowdon",
"Peter",
""
]
] |
The behaviour of correlators at large distances plays an important role in the dynamics of quantum field theories. In many instances, correlators satisfy the so-called \textit{cluster decomposition property} (CDP), which means that they tend to zero for space-like asymptotic distances. However, under certain conditions it is possible for correlators to violate this property. In the context of quantum chromodynamics (QCD), a violation of the CDP for correlators of clusters involving coloured fields implies that the strength of the correlations between the coloured degrees of freedom in these clusters increases at large distances, which is a sufficient condition for confinement. In this paper we establish a criterion for when the CDP is violated. By applying this criterion to QCD, it turns out that certain lattice results involving the quark and gluon propagators can be interpreted as evidence that quarks and gluons are confined due to a violation of the CDP.
|
hep-th/0411094
|
Vladimir Bazhanov
|
Vladimir V. Bazhanov and Vladimir V. Mangazeev
|
Eight-vertex model and non-stationary Lame equation
|
11 pages, LaTeX, minor misprints corrected, references added
|
J.Phys.A38:L145,2005
|
10.1088/0305-4470/38/8/L01
| null |
hep-th math-ph math.MP nlin.SI
| null |
We study the ground state eigenvalues of Baxter's Q-operator for the
eight-vertex model in a special case when it describes the off-critical
deformation of the $\Delta=-1/2$ six-vertex model. We show that these
eigenvalues satisfy a non-stationary Schrodinger equation with the
time-dependent potential given by the Weierstrass elliptic P-function where the
modular parameter $\tau$ plays the role of (imaginary) time. In the scaling
limit the equation transforms into a ``non-stationary Mathieu equation'' for
the vacuum eigenvalues of the Q-operators in the finite-volume massive
sine-Gordon model at the super-symmetric point, which is closely related to the
theory of dilute polymers on a cylinder and the Painleve III equation.
|
[
{
"created": "Tue, 9 Nov 2004 20:28:11 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Nov 2004 03:20:54 GMT",
"version": "v2"
}
] |
2011-02-11
|
[
[
"Bazhanov",
"Vladimir V.",
""
],
[
"Mangazeev",
"Vladimir V.",
""
]
] |
We study the ground state eigenvalues of Baxter's Q-operator for the eight-vertex model in a special case when it describes the off-critical deformation of the $\Delta=-1/2$ six-vertex model. We show that these eigenvalues satisfy a non-stationary Schrodinger equation with the time-dependent potential given by the Weierstrass elliptic P-function where the modular parameter $\tau$ plays the role of (imaginary) time. In the scaling limit the equation transforms into a ``non-stationary Mathieu equation'' for the vacuum eigenvalues of the Q-operators in the finite-volume massive sine-Gordon model at the super-symmetric point, which is closely related to the theory of dilute polymers on a cylinder and the Painleve III equation.
|
hep-th/0611095
|
Michael Ratz
|
Oleg Lebedev, Hans Peter Nilles, Stuart Raby, Saul Ramos-Sanchez,
Michael Ratz, Patrick K.S. Vaudrevange, Akin Wingerter
|
A Mini-Landscape of Exact MSSM Spectra in Heterotic Orbifolds
|
13 pages, for associated information see
http://www.th.physik.uni-bonn.de/nilles/Z6IIorbifold/, v2: matches version
published in PLB
|
Phys.Lett.B645:88-94,2007
|
10.1016/j.physletb.2006.12.012
|
CERN-PH-TH/2006-230, OHSTPY-HEP-T-06-006, NSF-KITP-06-100,
TUM-HEP-651/06
|
hep-th
| null |
We explore a ``fertile patch'' of the heterotic landscape based on a Z_6-II
orbifold with SO(10) and E_6 local GUT structures. We search for models
allowing for the exact MSSM spectrum. Our result is that of order 100 out of a
total 3\times 10^4 inequivalent models satisfy this requirement.
|
[
{
"created": "Wed, 8 Nov 2006 16:25:34 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Dec 2006 17:41:56 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Lebedev",
"Oleg",
""
],
[
"Nilles",
"Hans Peter",
""
],
[
"Raby",
"Stuart",
""
],
[
"Ramos-Sanchez",
"Saul",
""
],
[
"Ratz",
"Michael",
""
],
[
"Vaudrevange",
"Patrick K. S.",
""
],
[
"Wingerter",
"Akin",
""
]
] |
We explore a ``fertile patch'' of the heterotic landscape based on a Z_6-II orbifold with SO(10) and E_6 local GUT structures. We search for models allowing for the exact MSSM spectrum. Our result is that of order 100 out of a total 3\times 10^4 inequivalent models satisfy this requirement.
|
hep-th/9703040
|
Steven S. Gubser
|
S.S. Gubser, I.R. Klebanov, and A.A. Tseytlin
|
String Theory and Classical Absorption by Threebranes
|
27 pages, harvmac
|
Nucl.Phys.B499:217-240,1997
|
10.1016/S0550-3213(97)00325-8
|
PUPT-1685, Imperial/TP/96-97/33
|
hep-th
| null |
Low energy absorption cross-sections for various particles falling into
extreme non-dilatonic branes are calculated using string theory and
world-volume field theory methods. The results are compared with classical
absorption by the corresponding gravitational backgrounds. For the self-dual
threebrane, earlier work by one of us demonstrated precise agreement of the
absorption cross-sections for the dilaton, and here we extend the result to
Ramond-Ramond scalars and to gravitons polarized parallel to the brane. In
string theory, the only absorption channel available to dilatons and
Ramond-Ramond scalars at leading order is conversion into a pair of gauge
bosons on the threebrane. For gravitons polarized parallel to the brane,
scalars, fermions and gauge bosons all make leading order contributions to the
cross-section, which remarkably add up to the value predicted by classical
gravity. For the twobrane and fivebrane of M-theory, numerical coefficients
fail to agree, signalling our lack of a precise understanding of the
world-volume theory for large numbers of coincident branes. In many cases, we
note a remarkable isotropy in the final state particle flux within the brane.
We also consider the generalization to higher partial waves of minimally
coupled scalars. We demonstrate agreement for the threebrane at l=1 and
indicate that further work is necessary to understand l>1.
|
[
{
"created": "Wed, 5 Mar 1997 23:50:57 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Gubser",
"S. S.",
""
],
[
"Klebanov",
"I. R.",
""
],
[
"Tseytlin",
"A. A.",
""
]
] |
Low energy absorption cross-sections for various particles falling into extreme non-dilatonic branes are calculated using string theory and world-volume field theory methods. The results are compared with classical absorption by the corresponding gravitational backgrounds. For the self-dual threebrane, earlier work by one of us demonstrated precise agreement of the absorption cross-sections for the dilaton, and here we extend the result to Ramond-Ramond scalars and to gravitons polarized parallel to the brane. In string theory, the only absorption channel available to dilatons and Ramond-Ramond scalars at leading order is conversion into a pair of gauge bosons on the threebrane. For gravitons polarized parallel to the brane, scalars, fermions and gauge bosons all make leading order contributions to the cross-section, which remarkably add up to the value predicted by classical gravity. For the twobrane and fivebrane of M-theory, numerical coefficients fail to agree, signalling our lack of a precise understanding of the world-volume theory for large numbers of coincident branes. In many cases, we note a remarkable isotropy in the final state particle flux within the brane. We also consider the generalization to higher partial waves of minimally coupled scalars. We demonstrate agreement for the threebrane at l=1 and indicate that further work is necessary to understand l>1.
|
2008.10551
|
Kai Shi
|
Kai Shi, Xuan Wang, Yihong Xiu, Hongbao Zhang
|
Covariant phase space with null boundaries
|
version to appear in Communications in Theoretical Physics
| null |
10.1088/1572-9494/ac2a1b
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
By imposing the boundary condition associated with the boundary structure of
the null boundaries rather than the usual one, we find that the key requirement
in Harlow-Wu's algorithm fails to be met in the whole covariant phase space.
Instead, it can be satisfied in its submanifold with the null boundaries given
by the expansion free and shear free hypersurfaces in Einstein's gravity, which
can be regarded as the origin of the non-triviality of null boundaries in terms
of Wald-Zoupas's prescription. But nevertheless, by sticking to the variational
principle as our guiding principle and adapting Harlow-Wu's algorithm to the
aforementioned submanifold, we successfully reproduce the Hamiltonians obtained
previously by Wald-Zoupas' prescription, where not only are we endowed with the
expansion free and shear free null boundary as the natural stand point for the
definition of the Hamiltonian in the whole covariant phase space, but also led
naturally to the correct boundary term for such a definition.
|
[
{
"created": "Mon, 24 Aug 2020 16:45:04 GMT",
"version": "v1"
},
{
"created": "Sun, 26 Sep 2021 11:10:20 GMT",
"version": "v2"
}
] |
2021-11-17
|
[
[
"Shi",
"Kai",
""
],
[
"Wang",
"Xuan",
""
],
[
"Xiu",
"Yihong",
""
],
[
"Zhang",
"Hongbao",
""
]
] |
By imposing the boundary condition associated with the boundary structure of the null boundaries rather than the usual one, we find that the key requirement in Harlow-Wu's algorithm fails to be met in the whole covariant phase space. Instead, it can be satisfied in its submanifold with the null boundaries given by the expansion free and shear free hypersurfaces in Einstein's gravity, which can be regarded as the origin of the non-triviality of null boundaries in terms of Wald-Zoupas's prescription. But nevertheless, by sticking to the variational principle as our guiding principle and adapting Harlow-Wu's algorithm to the aforementioned submanifold, we successfully reproduce the Hamiltonians obtained previously by Wald-Zoupas' prescription, where not only are we endowed with the expansion free and shear free null boundary as the natural stand point for the definition of the Hamiltonian in the whole covariant phase space, but also led naturally to the correct boundary term for such a definition.
|
1212.4706
|
Henning Samtleben
|
Henning Samtleben, Ergin Sezgin, Dimitrios Tsimpis
|
Rigid 6D supersymmetry and localization
|
31 pages
| null |
10.1007/JHEP03(2013)137
|
MIFPA-12-43
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct rigid supersymmetric theories for interacting vector and tensor
multiplets on six-dimensional Riemannian spin manifolds. Analyzing the Killing
spinor equations, we derive the constraints on these theories. To this end, we
reformulate the conditions for supersymmetry as a set of necessary and
sufficient conditions on the geometry. The formalism is illustrated with a
number of examples, including manifolds that are hermitian, strong Kaehler with
torsion. As an application, we show that the path integral of pure super
Yang-Mills theory defined on a Calabi-Yau threefold M_6 localizes on stable
holomorphic bundles over M_6.
|
[
{
"created": "Wed, 19 Dec 2012 15:37:02 GMT",
"version": "v1"
}
] |
2015-06-12
|
[
[
"Samtleben",
"Henning",
""
],
[
"Sezgin",
"Ergin",
""
],
[
"Tsimpis",
"Dimitrios",
""
]
] |
We construct rigid supersymmetric theories for interacting vector and tensor multiplets on six-dimensional Riemannian spin manifolds. Analyzing the Killing spinor equations, we derive the constraints on these theories. To this end, we reformulate the conditions for supersymmetry as a set of necessary and sufficient conditions on the geometry. The formalism is illustrated with a number of examples, including manifolds that are hermitian, strong Kaehler with torsion. As an application, we show that the path integral of pure super Yang-Mills theory defined on a Calabi-Yau threefold M_6 localizes on stable holomorphic bundles over M_6.
|
2011.12928
|
Dmitry Kaparulin
|
D.S. Kaparulin
|
A stable higher-derivative theory with the Yang-Mills gauge symmetry
|
6 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
An example of higher-derivative theory with a non-Abelian gauge symmetry is
proposed. In the free limit, the model describes the multiplet of vector
fields, being subjected to the extended Chern-Simons equations. The theory
admits a single second-rank conserved tensor, whose 00-component can be bounded
or unbounded from below depending on the model parameters. If the conserved
tensor has a bounded 00-component, the dynamics is stable. The equations of
motion are non-Lagrangian.
|
[
{
"created": "Wed, 25 Nov 2020 18:23:36 GMT",
"version": "v1"
}
] |
2020-11-26
|
[
[
"Kaparulin",
"D. S.",
""
]
] |
An example of higher-derivative theory with a non-Abelian gauge symmetry is proposed. In the free limit, the model describes the multiplet of vector fields, being subjected to the extended Chern-Simons equations. The theory admits a single second-rank conserved tensor, whose 00-component can be bounded or unbounded from below depending on the model parameters. If the conserved tensor has a bounded 00-component, the dynamics is stable. The equations of motion are non-Lagrangian.
|
2110.15129
|
Yi-Nan Wang
|
Jiahua Tian, Yi-Nan Wang
|
5D and 6D SCFTs from $\mathbb{C}^3$ orbifolds
|
51 pages+appendices and references
|
SciPost Phys. 12, 127 (2022)
|
10.21468/SciPostPhys.12.4.127
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the orbifold singularities $X=\mathbb{C}^3/\Gamma$ where $\Gamma$ is
a finite subgroup of $SU(3)$. M-theory on this orbifold singularity gives rise
to a 5d SCFT, which is investigated with two methods. The first approach is via
3d McKay correspondence which relates the group theoretic data of $\Gamma$ to
the physical properties of the 5d SCFT. In particular, the 1-form symmetry of
the 5d SCFT is read off from the McKay quiver of $\Gamma$ in an elegant way.
The second method is to explicitly resolve the singularity $X$ and study the
Coulomb branch information of the 5d SCFT, which is applied to toric, non-toric
hypersurface and complete intersection cases. Many new theories are
constructed, either with or without an IR quiver gauge theory description. We
find that many resolved Calabi-Yau threefolds, $\widetilde{X}$, contain compact
exceptional divisors that are singular by themselves. Moreover, for certain
cases of $\Gamma$, the orbifold singularity $\mathbb{C}^3/\Gamma$ can be
embedded in an elliptic model and gives rise to a 6d (1,0) SCFT in the F-theory
construction. Such 6d theory is naturally related to the 5d SCFT defined on the
same singularity. We find examples of rank-1 6d SCFTs without a gauge group,
which are potentially different from the rank-1 E-string theory.
|
[
{
"created": "Thu, 28 Oct 2021 14:03:49 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Nov 2021 05:59:13 GMT",
"version": "v2"
},
{
"created": "Mon, 27 Dec 2021 07:07:28 GMT",
"version": "v3"
},
{
"created": "Wed, 13 Apr 2022 15:12:36 GMT",
"version": "v4"
}
] |
2022-04-20
|
[
[
"Tian",
"Jiahua",
""
],
[
"Wang",
"Yi-Nan",
""
]
] |
We study the orbifold singularities $X=\mathbb{C}^3/\Gamma$ where $\Gamma$ is a finite subgroup of $SU(3)$. M-theory on this orbifold singularity gives rise to a 5d SCFT, which is investigated with two methods. The first approach is via 3d McKay correspondence which relates the group theoretic data of $\Gamma$ to the physical properties of the 5d SCFT. In particular, the 1-form symmetry of the 5d SCFT is read off from the McKay quiver of $\Gamma$ in an elegant way. The second method is to explicitly resolve the singularity $X$ and study the Coulomb branch information of the 5d SCFT, which is applied to toric, non-toric hypersurface and complete intersection cases. Many new theories are constructed, either with or without an IR quiver gauge theory description. We find that many resolved Calabi-Yau threefolds, $\widetilde{X}$, contain compact exceptional divisors that are singular by themselves. Moreover, for certain cases of $\Gamma$, the orbifold singularity $\mathbb{C}^3/\Gamma$ can be embedded in an elliptic model and gives rise to a 6d (1,0) SCFT in the F-theory construction. Such 6d theory is naturally related to the 5d SCFT defined on the same singularity. We find examples of rank-1 6d SCFTs without a gauge group, which are potentially different from the rank-1 E-string theory.
|
1301.2583
|
Rolf Schimmrigk
|
Rolf Schimmrigk
|
String Automorphic Motives of nondiagonal Varieties
|
38 pages; extended and more precise version; typos corrected
| null | null | null |
hep-th math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper automorphic motives are constructed and analyzed with a view
toward the understanding of the geometry of compactification manifolds in
string theory in terms of the modular structure of the worldsheet theory. The
results described generalize a framework considered previously in two ways,
first by relaxing the restriction to modular forms, and second by extending the
construction of motives from diagonal varieties to nondiagonal spaces. The
framework of automorphic forms and representations is described with a view
toward applications, emphasizing the explicit structure of these objects.
|
[
{
"created": "Fri, 11 Jan 2013 19:55:47 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Feb 2013 00:32:11 GMT",
"version": "v2"
}
] |
2013-02-12
|
[
[
"Schimmrigk",
"Rolf",
""
]
] |
In this paper automorphic motives are constructed and analyzed with a view toward the understanding of the geometry of compactification manifolds in string theory in terms of the modular structure of the worldsheet theory. The results described generalize a framework considered previously in two ways, first by relaxing the restriction to modular forms, and second by extending the construction of motives from diagonal varieties to nondiagonal spaces. The framework of automorphic forms and representations is described with a view toward applications, emphasizing the explicit structure of these objects.
|
hep-th/9711015
|
Savvidis
|
G. K. Savvidy and K. G. Savvidy
|
Gonihedric String Equation
|
40 pages, Latex, 9 figures
|
JHEP 9804 (1998) 008
|
10.1088/1126-6708/1998/04/008
|
DEMO-HEP 97/07 97
|
hep-th
| null |
We discuss the basic properties of the gonihedric string and the problem of
its formulation in continuum. We propose a generalization of the Dirac equation
and of the corresponding gamma matrices in order to describe the gonihedric
string. The wave function and the Dirac matrices are infinite-dimensional. The
spectrum of the theory consists of particles and antiparticles of increasing
half-integer spin lying on quasilinear trajectories of different slope.
Explicit formulas for the mass spectrum allow to compute the string tension and
thus demonstrate the string character of the theory.
|
[
{
"created": "Tue, 4 Nov 1997 09:56:52 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Savvidy",
"G. K.",
""
],
[
"Savvidy",
"K. G.",
""
]
] |
We discuss the basic properties of the gonihedric string and the problem of its formulation in continuum. We propose a generalization of the Dirac equation and of the corresponding gamma matrices in order to describe the gonihedric string. The wave function and the Dirac matrices are infinite-dimensional. The spectrum of the theory consists of particles and antiparticles of increasing half-integer spin lying on quasilinear trajectories of different slope. Explicit formulas for the mass spectrum allow to compute the string tension and thus demonstrate the string character of the theory.
|
2010.00113
|
Eva Silverstein
|
Dayshon Mathis, Alexandros Mousatov, George Panagopoulos, Eva
Silverstein
|
A new branch of inflationary speed limits
|
12 pages, 1 figure
| null |
10.1007/JHEP10(2021)199
| null |
hep-th astro-ph.CO hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a new mechanism for inflation which exhibits a speed limit on
scalar motion, generating accelerated expansion even on a steep potential. This
arises from explicitly integrating out the short modes of additional fields
coupled to the inflaton $\phi$ via a dimension six operator, yielding an
expression for the effective action which includes a nontrivial (logarithmic)
function of $(\partial\phi)^2$. The speed limit appears at the branch cut of
this logarithm arising in a large flavor expansion, similarly to the square
root branch cut in DBI inflation arising in a large color expansion. Finally,
we describe observational constraints on the parameters of this model.
|
[
{
"created": "Wed, 30 Sep 2020 21:32:01 GMT",
"version": "v1"
}
] |
2021-11-10
|
[
[
"Mathis",
"Dayshon",
""
],
[
"Mousatov",
"Alexandros",
""
],
[
"Panagopoulos",
"George",
""
],
[
"Silverstein",
"Eva",
""
]
] |
We present a new mechanism for inflation which exhibits a speed limit on scalar motion, generating accelerated expansion even on a steep potential. This arises from explicitly integrating out the short modes of additional fields coupled to the inflaton $\phi$ via a dimension six operator, yielding an expression for the effective action which includes a nontrivial (logarithmic) function of $(\partial\phi)^2$. The speed limit appears at the branch cut of this logarithm arising in a large flavor expansion, similarly to the square root branch cut in DBI inflation arising in a large color expansion. Finally, we describe observational constraints on the parameters of this model.
|
hep-th/0605133
|
Andjelo Samsarov
|
Stjepan Meljanac, Marko Stojic
|
New realizations of Lie algebra kappa-deformed Euclidean space
|
30 pages, Latex, accepted for publication in Eur.Phys.J.C, some typos
corrected
|
Eur.Phys.J.C47:531-539,2006
|
10.1140/epjc/s2006-02584-8
| null |
hep-th
| null |
We study Lie algebra $\kappa$-deformed Euclidean space with undeformed
rotation algebra $SO_a(n)$ and commuting vectorlike derivatives. Infinitely
many realizations in terms of commuting coordinates are constructed and a
corresponding star product is found for each of them. The $\kappa$-deformed
noncommutative space of the Lie algebra type with undeformed Poincar{\'e}
algebra and with the corresponding deformed coalgebra is constructed in a
unified way.
|
[
{
"created": "Sat, 13 May 2006 11:50:06 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Dec 2007 17:22:55 GMT",
"version": "v2"
}
] |
2009-01-07
|
[
[
"Meljanac",
"Stjepan",
""
],
[
"Stojic",
"Marko",
""
]
] |
We study Lie algebra $\kappa$-deformed Euclidean space with undeformed rotation algebra $SO_a(n)$ and commuting vectorlike derivatives. Infinitely many realizations in terms of commuting coordinates are constructed and a corresponding star product is found for each of them. The $\kappa$-deformed noncommutative space of the Lie algebra type with undeformed Poincar{\'e} algebra and with the corresponding deformed coalgebra is constructed in a unified way.
|
hep-th/0107236
|
Bernd Kuckert
|
Bernd Kuckert
|
Covariant Thermodynamics of Quantum Systems: Passivity, Semipassivity,
and the Unruh Effect
|
22 pages
|
Annals Phys. 295 (2002) 216-229
|
10.1006/aphy.2001.6220
| null |
hep-th math-ph math.MP
| null |
According to the Second Law of Thermodynamics, cycles applied to
thermodynamic equilibrium states cannot perform work (passivity property of
thermodyamic equilibrium states). In the presence of matter this can hold only
in the rest frame of the matter, as moving matter drives, e.g., windmills and
turbines. If, however, a homogeneous and stationary state has the property that
no cycle can perform more work than an ideal windmill, then it can be shown
that there is some inertial frame where the state is a thermodynamic
equilibrium state. This provides a covariant characterization of thermodynamic
equilibrium states.
In the absence of matter, cycles should perform work only when driven by
nonstationary inertial forces caused by the observer's motion. If a pure state
of a relativistic quantum field theory behaves this way, it satisfies the
spectrum condition and exhibits the Unruh effect.
|
[
{
"created": "Fri, 27 Jul 2001 10:33:43 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Nov 2001 15:44:23 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Kuckert",
"Bernd",
""
]
] |
According to the Second Law of Thermodynamics, cycles applied to thermodynamic equilibrium states cannot perform work (passivity property of thermodyamic equilibrium states). In the presence of matter this can hold only in the rest frame of the matter, as moving matter drives, e.g., windmills and turbines. If, however, a homogeneous and stationary state has the property that no cycle can perform more work than an ideal windmill, then it can be shown that there is some inertial frame where the state is a thermodynamic equilibrium state. This provides a covariant characterization of thermodynamic equilibrium states. In the absence of matter, cycles should perform work only when driven by nonstationary inertial forces caused by the observer's motion. If a pure state of a relativistic quantum field theory behaves this way, it satisfies the spectrum condition and exhibits the Unruh effect.
|
2407.06263
|
Andrey Shkerin
|
Dalila P\^irvu, Andrey Shkerin, Sergey Sibiryakov
|
Thermal False Vacuum Decay Is Not What It Seems
|
9 pages, 5 figures
| null | null | null |
hep-th astro-ph.CO cond-mat.stat-mech hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the decay of a thermally excited metastable vacuum in classical
field theory using real-time numerical simulations. We find a lower decay rate
than predicted by standard thermal theory. The discrepancy is due to the
violation of thermal equilibrium during the critical bubble nucleation. It is
reduced by introducing dissipation and noise. We propose a criterion for the
system to remain in equilibrium during the nucleation process and show that it
is violated in the Hamiltonian evolution of a single field. In the case of many
fields, the fulfillment of the criterion is model-dependent.
|
[
{
"created": "Mon, 8 Jul 2024 18:00:01 GMT",
"version": "v1"
}
] |
2024-07-10
|
[
[
"Pîrvu",
"Dalila",
""
],
[
"Shkerin",
"Andrey",
""
],
[
"Sibiryakov",
"Sergey",
""
]
] |
We study the decay of a thermally excited metastable vacuum in classical field theory using real-time numerical simulations. We find a lower decay rate than predicted by standard thermal theory. The discrepancy is due to the violation of thermal equilibrium during the critical bubble nucleation. It is reduced by introducing dissipation and noise. We propose a criterion for the system to remain in equilibrium during the nucleation process and show that it is violated in the Hamiltonian evolution of a single field. In the case of many fields, the fulfillment of the criterion is model-dependent.
|
2107.10568
|
Machiko Hatsuda
|
Machiko Hatsuda, Warren Siegel
|
Perturbative F-theory 10-brane and M-theory 5-brane
|
36 pages + 4 pages for appendices; v2 accepted for publication in
JHEP
| null |
10.1007/JHEP11(2021)201
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
The exceptional symmetry is realized perturbatively in F-theory which is the
manifest U-duality theory. The SO(5,5) U-duality symmetry acts on both the 16
spacetime coordinates and the 10 worldvolume coordinates. Closure of the
Virasoro algebra requires the Gauss law constraints on the worldvolume. This
set of current algebras describes a F-theory 10-brane. The SO(5,5) duality
symmetry is enlarged to the SO(6,6) in the Lagrangian formulation. We propose
actions of the F-theory 10-brane with SO(5,5) and SO(6,6) symmetries. The gauge
fields of the latter action is coset elements of SO(6,6)/SO(6;C) which includes
both the SO(5,5)/SO(5;C) spacetime backgrounds and the worldvolume backgrounds.
The SO(5,5) current algebra obtained from the Pasti-Sorokin-Tonin M5-brane
Lagrangian leads to the theory behind M-theory, namely F-theory. We also
propose an action of the perturbative M-theory 5-brane obtained by sectioning
the worldvolume of the F-theory 10-brane.
|
[
{
"created": "Thu, 22 Jul 2021 10:44:09 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Oct 2021 06:04:08 GMT",
"version": "v2"
}
] |
2022-01-05
|
[
[
"Hatsuda",
"Machiko",
""
],
[
"Siegel",
"Warren",
""
]
] |
The exceptional symmetry is realized perturbatively in F-theory which is the manifest U-duality theory. The SO(5,5) U-duality symmetry acts on both the 16 spacetime coordinates and the 10 worldvolume coordinates. Closure of the Virasoro algebra requires the Gauss law constraints on the worldvolume. This set of current algebras describes a F-theory 10-brane. The SO(5,5) duality symmetry is enlarged to the SO(6,6) in the Lagrangian formulation. We propose actions of the F-theory 10-brane with SO(5,5) and SO(6,6) symmetries. The gauge fields of the latter action is coset elements of SO(6,6)/SO(6;C) which includes both the SO(5,5)/SO(5;C) spacetime backgrounds and the worldvolume backgrounds. The SO(5,5) current algebra obtained from the Pasti-Sorokin-Tonin M5-brane Lagrangian leads to the theory behind M-theory, namely F-theory. We also propose an action of the perturbative M-theory 5-brane obtained by sectioning the worldvolume of the F-theory 10-brane.
|
0912.3836
|
Mikhail Shifman
|
M. Shifman, A. Yung
|
N=(0,2) Deformation of the N=(2,2) Wess-Zumino Model in Two Dimensions
|
6 pages; v2: 3 references added; final version accepted for
publication in PRD
|
Phys.Rev.D81:105022,2010
|
10.1103/PhysRevD.81.105022
|
FTPI-MINN-09/48, UMN-TH-2830/09
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct a simple N=(0,2) deformation of the two-dimensional Wess-Zumino
model. In addition to superpotential, it includes a "twisted" superpotential.
Supersymmetry may or may not be spontaneously broken at the classical level. In
the latter case an extra right-handed fermion field \zeta_R involved in the
N=(0,2) deformation plays the role of Goldstino.
|
[
{
"created": "Fri, 18 Dec 2009 23:28:31 GMT",
"version": "v1"
},
{
"created": "Tue, 4 May 2010 16:51:20 GMT",
"version": "v2"
}
] |
2014-11-20
|
[
[
"Shifman",
"M.",
""
],
[
"Yung",
"A.",
""
]
] |
We construct a simple N=(0,2) deformation of the two-dimensional Wess-Zumino model. In addition to superpotential, it includes a "twisted" superpotential. Supersymmetry may or may not be spontaneously broken at the classical level. In the latter case an extra right-handed fermion field \zeta_R involved in the N=(0,2) deformation plays the role of Goldstino.
|
0903.1645
|
Sophie de Buyl
|
Geoffrey Comp\`ere, Sophie de Buyl, Ella Jamsin and Amitabh Virmani
|
G2 Dualities in D=5 Supergravity and Black Strings
|
typos corrected (26 pages + appendices, 2 figures)
|
Class.Quant.Grav.26:125016,2009
|
10.1088/0264-9381/26/12/125016
|
ULB-TH/09-07
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Five dimensional minimal supergravity dimensionally reduced on two commuting
Killing directions gives rise to a G2 coset model. The symmetry group of the
coset model can be used to generate new solutions by applying group
transformations on a seed solution. We show that on a general solution the
generators belonging to the Cartan and nilpotent subalgebras of G2 act as
scaling and gauge transformations, respectively. The remaining generators of G2
form a sl(2,R)+sl(2,R) subalgebra that can be used to generate non-trivial
charges. We use these generators to generalize the five dimensional Kerr string
in a number of ways. In particular, we construct the spinning electric and
spinning magnetic black strings of five dimensional minimal supergravity. We
analyze physical properties of these black strings and study their
thermodynamics. We also explore their relation to black rings.
|
[
{
"created": "Tue, 10 Mar 2009 16:35:44 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Jun 2009 17:50:49 GMT",
"version": "v2"
},
{
"created": "Fri, 15 Jan 2010 02:45:33 GMT",
"version": "v3"
}
] |
2014-11-18
|
[
[
"Compère",
"Geoffrey",
""
],
[
"de Buyl",
"Sophie",
""
],
[
"Jamsin",
"Ella",
""
],
[
"Virmani",
"Amitabh",
""
]
] |
Five dimensional minimal supergravity dimensionally reduced on two commuting Killing directions gives rise to a G2 coset model. The symmetry group of the coset model can be used to generate new solutions by applying group transformations on a seed solution. We show that on a general solution the generators belonging to the Cartan and nilpotent subalgebras of G2 act as scaling and gauge transformations, respectively. The remaining generators of G2 form a sl(2,R)+sl(2,R) subalgebra that can be used to generate non-trivial charges. We use these generators to generalize the five dimensional Kerr string in a number of ways. In particular, we construct the spinning electric and spinning magnetic black strings of five dimensional minimal supergravity. We analyze physical properties of these black strings and study their thermodynamics. We also explore their relation to black rings.
|
hep-th/9907019
|
Vladimir Ivashchuk
|
V. D. Ivashchuk and S.-W. Kim
|
Solutions with intersecting p-branes related to Toda chains
|
20 pages, Latex, to be submit. to JMP
|
J.Math.Phys. 41 (2000) 444-460
|
10.1063/1.533140
| null |
hep-th
| null |
Solutions in multidimensional gravity with m p-branes related to Toda-like
systems (of general type) are obtained. These solutions are defined on a
product of n+1 Ricci-flat spaces M_0 x M_1 x...x M_n and are governed by one
harmonic function on M_0. The solutions are defined up to the solutions of
Laplace and Toda-type equations and correspond to null-geodesics of the
(sigma-model) target-space metric. Special solutions relating to A_m Toda
chains (e.g. with m =1,2) are considered.
|
[
{
"created": "Mon, 5 Jul 1999 11:22:36 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Ivashchuk",
"V. D.",
""
],
[
"Kim",
"S. -W.",
""
]
] |
Solutions in multidimensional gravity with m p-branes related to Toda-like systems (of general type) are obtained. These solutions are defined on a product of n+1 Ricci-flat spaces M_0 x M_1 x...x M_n and are governed by one harmonic function on M_0. The solutions are defined up to the solutions of Laplace and Toda-type equations and correspond to null-geodesics of the (sigma-model) target-space metric. Special solutions relating to A_m Toda chains (e.g. with m =1,2) are considered.
|
1803.02320
|
Jie Gu
|
Alba Grassi and Jie Gu
|
Argyres-Douglas theories, Painlev\'e II and quantum mechanics
|
33 pages, 3 figures, minor corrections, some references added
| null |
10.1007/JHEP02(2019)060
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show in details that the all-orders genus expansion of the two-cut
Hermitian cubic matrix model reproduces the perturbative expansion of the $H_1$
Argyres-Douglas theory coupled to the $\Omega$ background. In the self-dual
limit we use the Painlev\'e/gauge correspondence and we show that, after
summing over all instanton sectors, the two-cut cubic matrix model computes the
tau function of Painlev\'e II without taking any double scaling limit or adding
any external fields. We decode such solution within the context of
trans-series. Finally in the Nekrasov-Shatashvili limit we connect the $H_1$
and the $H_0$ Argyres-Douglas theories to the quantum mechanical models with
cubic and double well potentials.
|
[
{
"created": "Tue, 6 Mar 2018 18:13:55 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Sep 2018 11:48:10 GMT",
"version": "v2"
},
{
"created": "Wed, 19 Sep 2018 15:03:48 GMT",
"version": "v3"
}
] |
2019-02-20
|
[
[
"Grassi",
"Alba",
""
],
[
"Gu",
"Jie",
""
]
] |
We show in details that the all-orders genus expansion of the two-cut Hermitian cubic matrix model reproduces the perturbative expansion of the $H_1$ Argyres-Douglas theory coupled to the $\Omega$ background. In the self-dual limit we use the Painlev\'e/gauge correspondence and we show that, after summing over all instanton sectors, the two-cut cubic matrix model computes the tau function of Painlev\'e II without taking any double scaling limit or adding any external fields. We decode such solution within the context of trans-series. Finally in the Nekrasov-Shatashvili limit we connect the $H_1$ and the $H_0$ Argyres-Douglas theories to the quantum mechanical models with cubic and double well potentials.
|
hep-th/0502092
|
Aleksandar Mikovic
|
A. Mikovic
|
Spin Foam Models of String Theory
|
6 pages, talk given at the Summer School in Modern Mathematical
Physics, Zlatibor, 20-31 August, 2004
| null | null | null |
hep-th
| null |
We review briefly the spin foam formalism for constructing path integrals for
the BF and related theories. Then we describe how the path integral for the
string theory on a group manifold can be defined as a two-dimensional spin foam
state sum.
|
[
{
"created": "Wed, 9 Feb 2005 13:31:16 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Mikovic",
"A.",
""
]
] |
We review briefly the spin foam formalism for constructing path integrals for the BF and related theories. Then we describe how the path integral for the string theory on a group manifold can be defined as a two-dimensional spin foam state sum.
|
1106.1179
|
John Kehayias
|
Tom Banks and John Kehayias
|
Fuzzy Geometry via the Spinor Bundle, with Applications to Holographic
Space-time and Matrix Theory
|
revised version matching published version, added references,
additional introduction to HST, expanded and improved various sections, 18
pages
|
Phys. Rev. D 84, 086008 (2011)
|
10.1103/PhysRevD.84.086008
|
RUNHETC-2011-??, SCIPP-11-01
|
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a new framework for defining fuzzy approximations to geometry in
terms of a cutoff on the spectrum of the Dirac operator, and a generalization
of it that we call the Dirac-Flux operator. This framework does not require a
symplectic form on the manifold, and is completely rotation invariant on an
arbitrary n-sphere. The framework is motivated by the formalism of Holographic
Space-Time (HST), whose fundamental variables are sections of the spinor bundle
over a compact Euclidean manifold. The strong holographic principle (SHP)
requires the space of these sections to be finite dimensional. We discuss
applications of fuzzy spinor geometry to HST and to Matrix Theory.
|
[
{
"created": "Mon, 6 Jun 2011 20:02:03 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Nov 2011 11:56:09 GMT",
"version": "v2"
}
] |
2011-11-03
|
[
[
"Banks",
"Tom",
""
],
[
"Kehayias",
"John",
""
]
] |
We present a new framework for defining fuzzy approximations to geometry in terms of a cutoff on the spectrum of the Dirac operator, and a generalization of it that we call the Dirac-Flux operator. This framework does not require a symplectic form on the manifold, and is completely rotation invariant on an arbitrary n-sphere. The framework is motivated by the formalism of Holographic Space-Time (HST), whose fundamental variables are sections of the spinor bundle over a compact Euclidean manifold. The strong holographic principle (SHP) requires the space of these sections to be finite dimensional. We discuss applications of fuzzy spinor geometry to HST and to Matrix Theory.
|
hep-th/9610151
|
Jeremy Michelson
|
Jeremy Michelson
|
Compactifications of Type IIB Strings to Four Dimensions with
Non-trivial Classical Potential
|
32 pages REVTeX, no figures
|
Nucl.Phys. B495 (1997) 127-148
|
10.1016/S0550-3213(97)00184-3
|
UCSB-TH-96-25
|
hep-th
| null |
Type IIB strings are compactified on a Calabi-Yau three-fold. When
Calabi-Yau-valued expectation values are given to the NS-NS and RR three-form
field strengths, the dilaton hypermultiplet becomes both electrically and
magnetically charged. The resultant classical potential is calculated, and
minima are found. At singular points in the moduli space, such as
Argyres-Douglas points, supersymmetric minima are found. A formula for the
classical potential in $N=2$ supergravity is given which holds in the presence
of both electric and magnetic charges.
|
[
{
"created": "Sat, 19 Oct 1996 20:58:00 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Michelson",
"Jeremy",
""
]
] |
Type IIB strings are compactified on a Calabi-Yau three-fold. When Calabi-Yau-valued expectation values are given to the NS-NS and RR three-form field strengths, the dilaton hypermultiplet becomes both electrically and magnetically charged. The resultant classical potential is calculated, and minima are found. At singular points in the moduli space, such as Argyres-Douglas points, supersymmetric minima are found. A formula for the classical potential in $N=2$ supergravity is given which holds in the presence of both electric and magnetic charges.
|
0712.2867
|
Costas Kounnas Dr
|
Yacine Dolivet, Bernard Julia and Costas Kounnas
|
Magic N=2 supergravities from hyper-free superstrings
|
27 pages
|
JHEP 0802:097,2008
|
10.1088/1126-6708/2008/02/097
|
LPTENS-06/57
|
hep-th
| null |
We show by explicit construction the existence of various four dimensional
models of type II superstrings with N=2 supersymmetry, purely vector multiplet
spectrum and no hypermultiplets. Among these, two are of special interest, at
the field theory level they correspond to the two exceptional N=2
supergravities of the magic square that have the same massless scalar field
content as pure N=6 supergravity and N=3 supergravity coupled to three extra
vector multiplets. The N=2 model of the magic square that is associated to N=6
supergravity is very peculiar since not only the scalar degrees of freedom but
all the bosonic massless degrees of freedom are the same in both theories.
All presented hyper-free N=2 models are based on asymmetric orbifold
constructions with N=(4,1) world-sheet superconformal symmetry and utilize the
2d fermionic construction techniques. The two exceptional N=2 models of the
magic square are constructed via a "twisting mechanism" that eliminates the
extra gravitini of the N=6 and N=3 extended supergravities and creates at the
same time the extra spin-1/2 fermions and spin-1 gauge bosons which are
necessary to balance the numbers of bosons and fermions. Theories of the magic
square with the same amount of supersymmetry in three and five space-time
dimensions are constructed as well, via stringy reduction and oxidation from
the corresponding four-dimensional models.
|
[
{
"created": "Tue, 18 Dec 2007 16:54:40 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Feb 2008 13:08:43 GMT",
"version": "v2"
}
] |
2009-12-10
|
[
[
"Dolivet",
"Yacine",
""
],
[
"Julia",
"Bernard",
""
],
[
"Kounnas",
"Costas",
""
]
] |
We show by explicit construction the existence of various four dimensional models of type II superstrings with N=2 supersymmetry, purely vector multiplet spectrum and no hypermultiplets. Among these, two are of special interest, at the field theory level they correspond to the two exceptional N=2 supergravities of the magic square that have the same massless scalar field content as pure N=6 supergravity and N=3 supergravity coupled to three extra vector multiplets. The N=2 model of the magic square that is associated to N=6 supergravity is very peculiar since not only the scalar degrees of freedom but all the bosonic massless degrees of freedom are the same in both theories. All presented hyper-free N=2 models are based on asymmetric orbifold constructions with N=(4,1) world-sheet superconformal symmetry and utilize the 2d fermionic construction techniques. The two exceptional N=2 models of the magic square are constructed via a "twisting mechanism" that eliminates the extra gravitini of the N=6 and N=3 extended supergravities and creates at the same time the extra spin-1/2 fermions and spin-1 gauge bosons which are necessary to balance the numbers of bosons and fermions. Theories of the magic square with the same amount of supersymmetry in three and five space-time dimensions are constructed as well, via stringy reduction and oxidation from the corresponding four-dimensional models.
|
1512.03008
|
Yang Zhou
|
Yang Zhou
|
Supersymmetric Renyi Entropy and Weyl Anomalies in Six-Dimensional (2,0)
Theories
|
30 pages+1 table
|
JHEP 1606:064,2016
|
10.1007/JHEP06(2016)064
|
TAUP-3004/15
|
hep-th cond-mat.stat-mech math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a closed formula of the universal part of supersymmetric R\'enyi
entropy $S_q$ for $(2,0)$ superconformal theories in six-dimensions. We show
that $S_q$ across a spherical entangling surface is a cubic polynomial of
$\gamma:=1/q$, with all coefficients expressed in terms of the newly discovered
Weyl anomalies $a$ and $c$. This is equivalent to a similar statement of the
supersymmetric free energy on conic (or squashed) six-sphere. We first obtain
the closed formula by promoting the free tensor multiplet result and then
provide an independent derivation by assuming that $S_q$ can be written as a
linear combination of 't Hooft anomaly coefficients. We discuss a possible
lower bound ${a\over c}\geq {3\over 7}$ implied by our result.
|
[
{
"created": "Wed, 9 Dec 2015 19:37:59 GMT",
"version": "v1"
}
] |
2016-06-13
|
[
[
"Zhou",
"Yang",
""
]
] |
We propose a closed formula of the universal part of supersymmetric R\'enyi entropy $S_q$ for $(2,0)$ superconformal theories in six-dimensions. We show that $S_q$ across a spherical entangling surface is a cubic polynomial of $\gamma:=1/q$, with all coefficients expressed in terms of the newly discovered Weyl anomalies $a$ and $c$. This is equivalent to a similar statement of the supersymmetric free energy on conic (or squashed) six-sphere. We first obtain the closed formula by promoting the free tensor multiplet result and then provide an independent derivation by assuming that $S_q$ can be written as a linear combination of 't Hooft anomaly coefficients. We discuss a possible lower bound ${a\over c}\geq {3\over 7}$ implied by our result.
|
2105.03944
|
Dripto Biswas
|
Dripto Biswas and Subir Ghosh
|
Quantum Back Flow Across a Black Hole Horizon in a Toy Model Approach
|
title changed, expanded version with new figures and explanations, no
change in results and conclusions; accepted for publication in PRD
| null |
10.1103/PhysRevD.104.104061
| null |
hep-th gr-qc quant-ph
|
http://creativecommons.org/licenses/by/4.0/
|
Quantum Back Flow (QBF), discovered quite a few years back, is a generic
purely quantum phenomenon, in which the probability of finding a particle in a
direction is non-zero (and increasing for a certain period of time) even when
the particle has with certainty a velocity in the opposite direction. In this
paper, we study QBF of a quantum particle across the event horizon of a
Schwarzschild Black Hole. In a toy model approach, we consider a superposition
of two ingoing solutions and observe the probability density and probability
current. We explicitly demonstrate a non-vanishing quantum backflow in a small
region around the event horizon. This is in contrast to the classical black
hole picture, that once an excitation crosses the horizon, it is lost forever
from the outside world. Deeper implications of this phenomenon are speculated.
We also study quantum backflow for another spacetime with a horizon, the
Rindler spacetime, where the phenomenon can be studied only within the Rindler
wedge.
|
[
{
"created": "Sun, 9 May 2021 13:49:43 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Oct 2021 14:42:56 GMT",
"version": "v2"
}
] |
2021-12-08
|
[
[
"Biswas",
"Dripto",
""
],
[
"Ghosh",
"Subir",
""
]
] |
Quantum Back Flow (QBF), discovered quite a few years back, is a generic purely quantum phenomenon, in which the probability of finding a particle in a direction is non-zero (and increasing for a certain period of time) even when the particle has with certainty a velocity in the opposite direction. In this paper, we study QBF of a quantum particle across the event horizon of a Schwarzschild Black Hole. In a toy model approach, we consider a superposition of two ingoing solutions and observe the probability density and probability current. We explicitly demonstrate a non-vanishing quantum backflow in a small region around the event horizon. This is in contrast to the classical black hole picture, that once an excitation crosses the horizon, it is lost forever from the outside world. Deeper implications of this phenomenon are speculated. We also study quantum backflow for another spacetime with a horizon, the Rindler spacetime, where the phenomenon can be studied only within the Rindler wedge.
|
hep-th/0007184
|
Masashi Naganuma
|
Masashi Naganuma, Muneto Nitta (Tokyo Inst. of Tech.)
|
BPS Domain Walls in Models with Flat Directions
|
LaTeX file, 19 pages, 8 eps figures, published version
|
Prog.Theor.Phys. 105 (2001) 501-514
|
10.1143/PTP.105.501
|
TIT/HEP 453
|
hep-th hep-ph
| null |
We consider BPS domain walls in the four dimensional N=1 supersymmetric
models with continuous global symmetry. Since the BPS equation is covariant
under the global transformation, the solutions of the BPS walls also have the
global symmetry. The moduli space of the supersymmetric vacua in such models
have non-compact flat directions, and the complex BPS walls interpolating
between two disjoint flat directions can exist. We examine this possibility in
two models with global O(2) symmetry, and construct the solution of such BPS
walls.
|
[
{
"created": "Mon, 24 Jul 2000 10:17:37 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Jul 2000 06:27:40 GMT",
"version": "v2"
},
{
"created": "Tue, 1 Aug 2000 16:46:21 GMT",
"version": "v3"
},
{
"created": "Mon, 19 Mar 2001 06:57:38 GMT",
"version": "v4"
}
] |
2009-10-31
|
[
[
"Naganuma",
"Masashi",
"",
"Tokyo Inst. of Tech."
],
[
"Nitta",
"Muneto",
"",
"Tokyo Inst. of Tech."
]
] |
We consider BPS domain walls in the four dimensional N=1 supersymmetric models with continuous global symmetry. Since the BPS equation is covariant under the global transformation, the solutions of the BPS walls also have the global symmetry. The moduli space of the supersymmetric vacua in such models have non-compact flat directions, and the complex BPS walls interpolating between two disjoint flat directions can exist. We examine this possibility in two models with global O(2) symmetry, and construct the solution of such BPS walls.
|
1308.6829
|
Clay C\'ordova
|
Clay Cordova, Andrew Neitzke
|
Line Defects, Tropicalization, and Multi-Centered Quiver Quantum
Mechanics
|
76 pages, 10 figures; v2: minor revisions, correction to Coulomb
branch calculation for defects in SU(2) SYM
| null |
10.1007/JHEP09(2014)099
| null |
hep-th math.RT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study BPS line defects in N=2 supersymmetric four-dimensional field
theories. We focus on theories of "quiver type," those for which the BPS
particle spectrum can be computed using quiver quantum mechanics. For a wide
class of models, the renormalization group flow between defects defined in the
ultraviolet and in the infrared is bijective. Using this fact, we propose a way
to compute the BPS Hilbert space of a defect defined in the ultraviolet, using
only infrared data. In some cases our proposal reduces to studying
representations of a "framed" quiver, with one extra node representing the
defect. In general, though, it is different. As applications, we derive a
formula for the discontinuities in the defect renormalization group map under
variations of moduli, and show that the operator product algebra of line
defects contains distinguished subalgebras with universal multiplication rules.
We illustrate our results in several explicit examples.
|
[
{
"created": "Fri, 30 Aug 2013 19:42:58 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Mar 2014 11:48:05 GMT",
"version": "v2"
}
] |
2015-06-17
|
[
[
"Cordova",
"Clay",
""
],
[
"Neitzke",
"Andrew",
""
]
] |
We study BPS line defects in N=2 supersymmetric four-dimensional field theories. We focus on theories of "quiver type," those for which the BPS particle spectrum can be computed using quiver quantum mechanics. For a wide class of models, the renormalization group flow between defects defined in the ultraviolet and in the infrared is bijective. Using this fact, we propose a way to compute the BPS Hilbert space of a defect defined in the ultraviolet, using only infrared data. In some cases our proposal reduces to studying representations of a "framed" quiver, with one extra node representing the defect. In general, though, it is different. As applications, we derive a formula for the discontinuities in the defect renormalization group map under variations of moduli, and show that the operator product algebra of line defects contains distinguished subalgebras with universal multiplication rules. We illustrate our results in several explicit examples.
|
2103.05542
|
Holger Gies
|
Holger Gies and Abdol Sabor Salek
|
A curvature bound from gravitational catalysis in thermal backgrounds
|
12 pages, 5 figures
|
Phys. Rev. D 103, 125027 (2021)
|
10.1103/PhysRevD.103.125027
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the phenomenon of gravitational catalysis, i.e.,
curvature-induced chiral symmetry breaking and fermion mass generation, at
finite temperature. Using a scale-dependent analysis, we derive a thermal bound
on the curvature of local patches of spacetime. This bound quantifies regions
in parameter space that remain unaffected by gravitational catalysis and thus
are compatible with the existence of light fermions as observed in Nature.
While finite temperature generically relaxes the curvature bound, we observe a
comparatively strong dependence of the phenomenon on the details of the
curvature.
Our bound can be applied to scenarios of quantum gravity, as any realistic
candidate has to accommodate a sufficient number of light fermions. We argue
that our bound therefore represents a test for quantum gravity scenarios: a
suitably averaged spacetime in the (trans-)Planckian regime that satisfies our
curvature bound does not induce correspondingly large Planckian fermion masses
by gravitational catalysis. The temperature dependence derived in this work
facilitates to follow the fate of gravitational catalysis during the thermal
history of the (quantum) universe. In an application to the Asymptotic Safety
scenario of quantum gravity, our bound translates into a temperature-dependent
upper bound on the number of fermion flavors.
|
[
{
"created": "Tue, 9 Mar 2021 16:44:39 GMT",
"version": "v1"
}
] |
2021-07-07
|
[
[
"Gies",
"Holger",
""
],
[
"Salek",
"Abdol Sabor",
""
]
] |
We investigate the phenomenon of gravitational catalysis, i.e., curvature-induced chiral symmetry breaking and fermion mass generation, at finite temperature. Using a scale-dependent analysis, we derive a thermal bound on the curvature of local patches of spacetime. This bound quantifies regions in parameter space that remain unaffected by gravitational catalysis and thus are compatible with the existence of light fermions as observed in Nature. While finite temperature generically relaxes the curvature bound, we observe a comparatively strong dependence of the phenomenon on the details of the curvature. Our bound can be applied to scenarios of quantum gravity, as any realistic candidate has to accommodate a sufficient number of light fermions. We argue that our bound therefore represents a test for quantum gravity scenarios: a suitably averaged spacetime in the (trans-)Planckian regime that satisfies our curvature bound does not induce correspondingly large Planckian fermion masses by gravitational catalysis. The temperature dependence derived in this work facilitates to follow the fate of gravitational catalysis during the thermal history of the (quantum) universe. In an application to the Asymptotic Safety scenario of quantum gravity, our bound translates into a temperature-dependent upper bound on the number of fermion flavors.
|
hep-th/0605272
|
Yael Shadmi
|
Yael Shadmi (Technion)
|
The radion potential and supersymmetry breaking in detuned RS
|
5 pages. Talk presented at the XLIst Rencontres de Moriond,
Electroweak Interactions and Unified Theories, La Thuile, Italy, 11-18 March
2006
| null | null | null |
hep-th
| null |
We study radiative corrections to the radion potential in the supersymmetric
``detuned RS model'', with supersymmetry broken by boundary conditions.
Classically, the radion is stabilized in this model, and the 4d theory is
AdS_4. With a few bulk hypermultiplets, the one-loop correction to the
cosmological constant is positive. For small warping, this correction can
(almost) cancel the classical result. The loop expansion is still reliable in
this limit. The graviphoton zero-mode, which controls supersymmetry breaking,
is a modulus of the classical theory, but is stabilized at one-loop. Both
unbroken supersymmetry and maximal supersymmetry breaking are stable
ground-states of the quantum theory.
|
[
{
"created": "Sun, 28 May 2006 13:05:59 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Shadmi",
"Yael",
"",
"Technion"
]
] |
We study radiative corrections to the radion potential in the supersymmetric ``detuned RS model'', with supersymmetry broken by boundary conditions. Classically, the radion is stabilized in this model, and the 4d theory is AdS_4. With a few bulk hypermultiplets, the one-loop correction to the cosmological constant is positive. For small warping, this correction can (almost) cancel the classical result. The loop expansion is still reliable in this limit. The graviphoton zero-mode, which controls supersymmetry breaking, is a modulus of the classical theory, but is stabilized at one-loop. Both unbroken supersymmetry and maximal supersymmetry breaking are stable ground-states of the quantum theory.
|
1107.1872
|
Evgeny Skvortsov D
|
Nicolas Boulanger, E.D.Skvortsov, Yu.M.Zinoviev
|
Gravitational cubic interactions for a simple mixed-symmetry gauge field
in AdS and flat backgrounds
|
37 pages, no figures; refs added, typos corrected
| null |
10.1088/1751-8113/44/41/415403
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Cubic interactions between the simplest mixed-symmetry gauge field and
gravity are constructed in anti-de Sitter (AdS) and flat backgrounds.
Nonabelian cubic interactions are obtained in AdS following various
perturbative methods including the Fradkin-Vasiliev construction, with and
without Stueckelberg fields. The action that features the maximal number of
Stueckelberg fields can be considered in the flat limit without loss of
physical degrees of freedom. The resulting interactions in flat space are
compared with a classification of vertices obtained via the antifield
cohomological perturbative method. It is shown that the gauge algebra becomes
abelian in the flat limit, in contrast to what happens for totally symmetric
gauge fields in AdS.
|
[
{
"created": "Sun, 10 Jul 2011 16:29:23 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Aug 2011 07:27:12 GMT",
"version": "v2"
}
] |
2015-05-28
|
[
[
"Boulanger",
"Nicolas",
""
],
[
"Skvortsov",
"E. D.",
""
],
[
"Zinoviev",
"Yu. M.",
""
]
] |
Cubic interactions between the simplest mixed-symmetry gauge field and gravity are constructed in anti-de Sitter (AdS) and flat backgrounds. Nonabelian cubic interactions are obtained in AdS following various perturbative methods including the Fradkin-Vasiliev construction, with and without Stueckelberg fields. The action that features the maximal number of Stueckelberg fields can be considered in the flat limit without loss of physical degrees of freedom. The resulting interactions in flat space are compared with a classification of vertices obtained via the antifield cohomological perturbative method. It is shown that the gauge algebra becomes abelian in the flat limit, in contrast to what happens for totally symmetric gauge fields in AdS.
|
1306.3918
|
Mahmoud Safari
|
R. Percacci, M. Safari
|
Functional renormalization of N scalars with O(N) invariance
|
32 pages; v.2: one reference added, small corrections, to appear in
PRD
|
Phys. Rev. D 88, 085007 (2013)
|
10.1103/PhysRevD.88.085007
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss general theories of N scalar fields with O(N) symmetry. In
addition to the standard case of linearly realized symmetry there are also
examples that carry nonlinear realizations, with the topology of a cylinder
$R\times S^{N-1}$ or a sphere $S^N$. We write flow equations for the theory in
the second order of the derivative expansion in the background field and
discuss the properties of scaling solutions with vanishing potential.
|
[
{
"created": "Mon, 17 Jun 2013 16:24:31 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Sep 2013 19:57:39 GMT",
"version": "v2"
}
] |
2013-10-30
|
[
[
"Percacci",
"R.",
""
],
[
"Safari",
"M.",
""
]
] |
We discuss general theories of N scalar fields with O(N) symmetry. In addition to the standard case of linearly realized symmetry there are also examples that carry nonlinear realizations, with the topology of a cylinder $R\times S^{N-1}$ or a sphere $S^N$. We write flow equations for the theory in the second order of the derivative expansion in the background field and discuss the properties of scaling solutions with vanishing potential.
|
hep-th/9201066
|
Norisuke Sakai
|
Yoichiro Matsumura, Norisuke Sakai, Yoshiaki Tanii
|
Interaction of Tachyons and Discrete States in c=1 2-D Quantum Gravity
|
10 pages
| null | null | null |
hep-th
| null |
The two-dimensional (2-D) quantum gravity coupled to the conformal matter
with $c=1$ is studied. We obtain all the three point couplings involving
tachyons and/or discrete states via operator product expansion. We find that
cocycle factors are necessary and construct them explicitly. We obtain an
effective action for these three point couplings. This is a brief summary of
our study of couplings of tachyons and discrete states, reported at the
workshop in Tokyo Metropolitan University, December 4-6, 1991.
|
[
{
"created": "Wed, 29 Jan 1992 05:39:06 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Feb 1992 06:57:43 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Matsumura",
"Yoichiro",
""
],
[
"Sakai",
"Norisuke",
""
],
[
"Tanii",
"Yoshiaki",
""
]
] |
The two-dimensional (2-D) quantum gravity coupled to the conformal matter with $c=1$ is studied. We obtain all the three point couplings involving tachyons and/or discrete states via operator product expansion. We find that cocycle factors are necessary and construct them explicitly. We obtain an effective action for these three point couplings. This is a brief summary of our study of couplings of tachyons and discrete states, reported at the workshop in Tokyo Metropolitan University, December 4-6, 1991.
|
hep-th/9909052
|
Egor Babaev
|
Egor Babaev
|
Nonlinear sigma model approach for phase disorder transitions and the
pseudogap phase in chiral Gross-Neveu, Nambu-Jona-Lasinio models and
strong-coupling superconductors
|
A brief review. Replaced with journal version (some grammatical
corrections). The latest updates of this and related papers are also
available at the author home page http://www.teorfys.uu.se/PEOPLE/egor/
|
Int.J.Mod.Phys.A16:1175-1197,2001
|
10.1142/S0217751X01003007
| null |
hep-th cond-mat.supr-con hep-ph
| null |
We briefly review the nonlinear sigma model approach for the subject of
increasing interest: "two-step" phase transitions in the Gross-Neveu and the
modified Nambu-Jona-Lasinio models at low $N$ and condensation from pseudogap
phase in strong-coupling superconductors. Recent success in describing
"Bose-type" superconductors that possess two characterstic temperatures and a
pseudogap above $T_c$ is the development approximately comparable with the BCS
theory. One can expect that it should have influence on high-energy physics,
similar to impact of the BCS theory on this subject. Although first
generalizations of this concept to particle physics were made recently, these
results were not systematized. In this review we summarize this development and
discuss similarities and differences of the appearence of the pseudogap phase
in superconductors and the Gross-Neveu and Nambu-Jona-Lasinio - like models. We
discuss its possible relevance for chiral phase transition in QCD and color
superconductors. This paper is organized in three parts: in the first section
we briefly review the separation of temperatures of pair formation and pair
condensation in strong - coupling and low carrier density superconductors (i.e.
the formation of the {\it pseudogap phase}).
Second part is a review of nonlinear sigma model approach to an analogous
phenomenon in the Chiral Gross-Neveu model at small N. In the third section we
discuss the modified Nambu-Jona-Lasinio model where the chiral phase transition
is accompanied by a formation of a phase analogous to the pseudogap phase.
|
[
{
"created": "Thu, 9 Sep 1999 22:11:59 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Jan 2000 22:44:52 GMT",
"version": "v2"
},
{
"created": "Mon, 12 Jun 2000 16:42:20 GMT",
"version": "v3"
},
{
"created": "Wed, 23 May 2001 19:45:39 GMT",
"version": "v4"
}
] |
2014-11-18
|
[
[
"Babaev",
"Egor",
""
]
] |
We briefly review the nonlinear sigma model approach for the subject of increasing interest: "two-step" phase transitions in the Gross-Neveu and the modified Nambu-Jona-Lasinio models at low $N$ and condensation from pseudogap phase in strong-coupling superconductors. Recent success in describing "Bose-type" superconductors that possess two characterstic temperatures and a pseudogap above $T_c$ is the development approximately comparable with the BCS theory. One can expect that it should have influence on high-energy physics, similar to impact of the BCS theory on this subject. Although first generalizations of this concept to particle physics were made recently, these results were not systematized. In this review we summarize this development and discuss similarities and differences of the appearence of the pseudogap phase in superconductors and the Gross-Neveu and Nambu-Jona-Lasinio - like models. We discuss its possible relevance for chiral phase transition in QCD and color superconductors. This paper is organized in three parts: in the first section we briefly review the separation of temperatures of pair formation and pair condensation in strong - coupling and low carrier density superconductors (i.e. the formation of the {\it pseudogap phase}). Second part is a review of nonlinear sigma model approach to an analogous phenomenon in the Chiral Gross-Neveu model at small N. In the third section we discuss the modified Nambu-Jona-Lasinio model where the chiral phase transition is accompanied by a formation of a phase analogous to the pseudogap phase.
|
hep-th/0511236
|
Carlos Farina
|
B. Mintz, C. Farina, P.A. Maia Neto and R. Rodrigues
|
Dynamical Casimir effect with Robin boundary conditions
|
8 pages, 2 figures
| null | null | null |
hep-th
| null |
We consider a massless scalar field in 1+1 dimensions that satisfies a Robin
boundary condition at a non-relativistic moving boundary. Using the
perturbative approach introduced by Ford and Vilenkin, we compute the total
force on the moving boundary. In contrast to what happens for the Dirichlet and
Neumann boundary conditions, in addition to a dissipative part, the force
acquires also a dispersive one. Further, we also show that with an appropriate
choice for the mechanical frequency of the moving boundary it is possible to
turn off the vacuum dissipation almost completely.
|
[
{
"created": "Wed, 23 Nov 2005 20:17:28 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Mintz",
"B.",
""
],
[
"Farina",
"C.",
""
],
[
"Neto",
"P. A. Maia",
""
],
[
"Rodrigues",
"R.",
""
]
] |
We consider a massless scalar field in 1+1 dimensions that satisfies a Robin boundary condition at a non-relativistic moving boundary. Using the perturbative approach introduced by Ford and Vilenkin, we compute the total force on the moving boundary. In contrast to what happens for the Dirichlet and Neumann boundary conditions, in addition to a dissipative part, the force acquires also a dispersive one. Further, we also show that with an appropriate choice for the mechanical frequency of the moving boundary it is possible to turn off the vacuum dissipation almost completely.
|
1611.06552
|
Abdelmalek Boumali Dr
|
Abdelmalek Boumali and Hassan Hassanabadi
|
The statistical properties of the q-deformed Dirac oscillator in one and
two-dimensions
|
any comments are welcome
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we study the behavior of the eigenvalues of the one and two
dimensions of q-deformed Dirac oscillator. The eigensolutions have been
obtained by using a method based on the q-deformed creation and annihilation
operators in both dimensions. For a two-dimensional case, we have used the
complex formalism which reduced the problem to the problem of one dimensional
case. The influence of the q-numbers on the eigenvalues has been well analyzed.
Also, the connection between the q-oscillator and a quantum optics is well
established. Finally, for very small deformation \eta, we have mentioned to
existence of well-known q-deformed version of Zitterbewegung in relativistic
quantum dynamics, and calculated the partition function and all thermal
quantities such as the free energy, total energy, entropy and specific heat:
here we consider only the case of a pure phase (q=e^{i\eta}). The extension to
the case of graphene has been discussed
|
[
{
"created": "Sun, 20 Nov 2016 17:24:22 GMT",
"version": "v1"
}
] |
2016-11-22
|
[
[
"Boumali",
"Abdelmalek",
""
],
[
"Hassanabadi",
"Hassan",
""
]
] |
In this paper, we study the behavior of the eigenvalues of the one and two dimensions of q-deformed Dirac oscillator. The eigensolutions have been obtained by using a method based on the q-deformed creation and annihilation operators in both dimensions. For a two-dimensional case, we have used the complex formalism which reduced the problem to the problem of one dimensional case. The influence of the q-numbers on the eigenvalues has been well analyzed. Also, the connection between the q-oscillator and a quantum optics is well established. Finally, for very small deformation \eta, we have mentioned to existence of well-known q-deformed version of Zitterbewegung in relativistic quantum dynamics, and calculated the partition function and all thermal quantities such as the free energy, total energy, entropy and specific heat: here we consider only the case of a pure phase (q=e^{i\eta}). The extension to the case of graphene has been discussed
|
1902.04687
|
Peter M. Lavrov
|
Peter M. Lavrov, Ilya L. Shapiro
|
Gauge invariant renormalizability of quantum gravity
|
36 pages,v2: Extended version, new discussions of the weight
operators in superrenormalizable models and a short historical review
included, v3:`Extended version, includes new section about multi-loop
renormalization and some other discussions, accepted in PRD
|
Phys. Rev. D 100, 026018 (2019)
|
10.1103/PhysRevD.100.026018
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using the Batalin-Vilkovisky technique and the background field method the
proof of gauge invariant renormalizability is elaborated for a generic model of
quantum gravity which is diffeomorphism invariant and has no other, potentially
anomalous, symmetries. The gauge invariant renormalizability means that in all
orders of loop expansion of the quantum effective action one can control
deformations of the generators of gauge transformations which leave such an
action invariant. In quantum gravity this means that one can maintain general
covariance of the divergent part of effective action when the mean quantum
field, ghosts and antifields are switched off.
|
[
{
"created": "Wed, 13 Feb 2019 00:30:48 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Apr 2019 15:17:41 GMT",
"version": "v2"
},
{
"created": "Tue, 16 Jul 2019 01:18:00 GMT",
"version": "v3"
}
] |
2019-08-07
|
[
[
"Lavrov",
"Peter M.",
""
],
[
"Shapiro",
"Ilya L.",
""
]
] |
Using the Batalin-Vilkovisky technique and the background field method the proof of gauge invariant renormalizability is elaborated for a generic model of quantum gravity which is diffeomorphism invariant and has no other, potentially anomalous, symmetries. The gauge invariant renormalizability means that in all orders of loop expansion of the quantum effective action one can control deformations of the generators of gauge transformations which leave such an action invariant. In quantum gravity this means that one can maintain general covariance of the divergent part of effective action when the mean quantum field, ghosts and antifields are switched off.
|
1312.5441
|
Jon Urrestilla
|
Jose J. Blanco-Pillado, Borja Reina, Kepa Sousa and Jon Urrestilla
|
Supermassive Cosmic String Compactifications
|
32 pages, 8 figures
|
JCAP06 (2014) 001
|
10.1088/1475-7516/2014/06/001
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The space-time dimensions transverse to a static straight cosmic string with
a sufficiently large tension (supermassive cosmic strings) are compact and
typically have a singularity at a finite distance form the core. In this paper,
we discuss how the presence of multiple supermassive cosmic strings in the 4D
Abelian-Higgs model can induce the spontaneous compactification of the
transverse space and explicitly construct solutions where the gravitational
background becomes regular everywhere. We discuss the embedding of this model
in N=1 supergravity and show that some of these solutions are half-BPS, in the
sense that they leave unbroken half of the supersymmetries of the model.
|
[
{
"created": "Thu, 19 Dec 2013 08:46:11 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"Blanco-Pillado",
"Jose J.",
""
],
[
"Reina",
"Borja",
""
],
[
"Sousa",
"Kepa",
""
],
[
"Urrestilla",
"Jon",
""
]
] |
The space-time dimensions transverse to a static straight cosmic string with a sufficiently large tension (supermassive cosmic strings) are compact and typically have a singularity at a finite distance form the core. In this paper, we discuss how the presence of multiple supermassive cosmic strings in the 4D Abelian-Higgs model can induce the spontaneous compactification of the transverse space and explicitly construct solutions where the gravitational background becomes regular everywhere. We discuss the embedding of this model in N=1 supergravity and show that some of these solutions are half-BPS, in the sense that they leave unbroken half of the supersymmetries of the model.
|
2202.10501
|
Maxim Zabzine
|
Victor Alekseev, Guido Festuccia, Victor Mishnyakov, Nicolai Terziev
and Maxim Zabzine
|
Localizing non-linear ${\cal N}=(2,2)$ sigma model on $S^2$
|
51 pages, refs added
| null |
10.1140/epjc/s10052-022-10610-8
| null |
hep-th math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
We present a systematic study of ${\cal N}=(2,2)$ supersymmetric non-linear
sigma models on $S^2$ with the target being a K\"ahler manifold. We discuss
their reformulation in terms of cohomological field theory. In the
cohomological formulation we use a novel version of 2D self-duality which
involves a $U(1)$ action on $S^2$. In addition to the generic model we discuss
the theory with target space equivariance corresponding to a supersymmetric
sigma model coupled to a non-dynamical supersymmetric background gauge
multiplet. We discuss the localization locus and perform a one-loop calculation
around the constant maps. We argue that the theory can be reduced to some
exotic model over the moduli space of holomorphic disks.
|
[
{
"created": "Mon, 21 Feb 2022 19:18:00 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Mar 2022 15:13:49 GMT",
"version": "v2"
}
] |
2022-09-14
|
[
[
"Alekseev",
"Victor",
""
],
[
"Festuccia",
"Guido",
""
],
[
"Mishnyakov",
"Victor",
""
],
[
"Terziev",
"Nicolai",
""
],
[
"Zabzine",
"Maxim",
""
]
] |
We present a systematic study of ${\cal N}=(2,2)$ supersymmetric non-linear sigma models on $S^2$ with the target being a K\"ahler manifold. We discuss their reformulation in terms of cohomological field theory. In the cohomological formulation we use a novel version of 2D self-duality which involves a $U(1)$ action on $S^2$. In addition to the generic model we discuss the theory with target space equivariance corresponding to a supersymmetric sigma model coupled to a non-dynamical supersymmetric background gauge multiplet. We discuss the localization locus and perform a one-loop calculation around the constant maps. We argue that the theory can be reduced to some exotic model over the moduli space of holomorphic disks.
|
1603.09264
|
Seyed Farid Taghavi
|
Seyed Farid Taghavi, Ali Vahedi
|
Equilibrium Instability of Chiral Mesons in External Electromagnetic
Field via AdS/CFT
|
25 pages, 11 figures
| null | null | null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the equilibrium instability of chiral quarkonia in a plasma in the
presence of constant magnetic and electric field and at finite axial chemical
potential using AdS/CFT duality. The model in use is a supersymmetric QCD at
large 't$\,$Hooft coupling and number of colors. We show that the presence of
the magnetic field and the axial chemical potential even in the absence of the
electric field make the system unstable. In a gapped system, a stable/unstable
equilibrium state phase transition is observed and the initial transition
amplitude of the equilibrium state to the non-equilibrium state is
investigated. We demonstrate that at zero temperature and large magnetic field
the instability grows linearly by increasing the quarkonium binding energy. In
the constant electric and magnetic field, the system is in a equilibrium state
if the Ohm's law and the chiral magnetic effect cancel their effects. This
happens in a sub-space of $(E,B,T,\mu_5)$ space with constraint equation
$\sigma_B B =- \sigma E$, where $\sigma$ and $\sigma_B$ are called electric and
chiral magnetic conductivity, respectively. We analyze the decay rate of a
gapless system when this constraint is slightly violated.
|
[
{
"created": "Wed, 30 Mar 2016 16:20:17 GMT",
"version": "v1"
}
] |
2016-03-31
|
[
[
"Taghavi",
"Seyed Farid",
""
],
[
"Vahedi",
"Ali",
""
]
] |
We study the equilibrium instability of chiral quarkonia in a plasma in the presence of constant magnetic and electric field and at finite axial chemical potential using AdS/CFT duality. The model in use is a supersymmetric QCD at large 't$\,$Hooft coupling and number of colors. We show that the presence of the magnetic field and the axial chemical potential even in the absence of the electric field make the system unstable. In a gapped system, a stable/unstable equilibrium state phase transition is observed and the initial transition amplitude of the equilibrium state to the non-equilibrium state is investigated. We demonstrate that at zero temperature and large magnetic field the instability grows linearly by increasing the quarkonium binding energy. In the constant electric and magnetic field, the system is in a equilibrium state if the Ohm's law and the chiral magnetic effect cancel their effects. This happens in a sub-space of $(E,B,T,\mu_5)$ space with constraint equation $\sigma_B B =- \sigma E$, where $\sigma$ and $\sigma_B$ are called electric and chiral magnetic conductivity, respectively. We analyze the decay rate of a gapless system when this constraint is slightly violated.
|
hep-th/9903137
|
N. J. Mackay
|
N. J. MacKay (U of Sheffield)
|
The SO(N) principal chiral field on a half-line
|
7 pages, Latex
|
J.Phys. A32 (1999) L189-L193
|
10.1088/0305-4470/32/17/101
| null |
hep-th
| null |
We investigate the integrability of the SO(N) principal chiral model on a
half-line, and find that mixed Dirichlet/Neumann boundary conditions (as well
as pure Dirichlet or Neumann) lead to infinitely many conserved charges
classically in involution. We use an anomaly-counting method to show that at
least one non-trivial example survives quantization, compare our results with
the proposed reflection matrices, and, based on these, make some preliminary
remarks about expected boundary bound-states.
|
[
{
"created": "Tue, 16 Mar 1999 11:03:03 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"MacKay",
"N. J.",
"",
"U of Sheffield"
]
] |
We investigate the integrability of the SO(N) principal chiral model on a half-line, and find that mixed Dirichlet/Neumann boundary conditions (as well as pure Dirichlet or Neumann) lead to infinitely many conserved charges classically in involution. We use an anomaly-counting method to show that at least one non-trivial example survives quantization, compare our results with the proposed reflection matrices, and, based on these, make some preliminary remarks about expected boundary bound-states.
|
1812.06111
|
Matthew Heydeman
|
Matthew Heydeman, John H. Schwarz, Congkao Wen, Shun-Qing Zhang
|
All Tree Amplitudes of 6D $(2,0)$ Supergravity: Interacting Tensor
Multiplets and the $K3$ Moduli Space
|
6 pages + references, minor revisions
|
Phys. Rev. Lett. 122, 111604 (2019)
|
10.1103/PhysRevLett.122.111604
|
QMUL-PH-18-30, CALT-TH-2018-054
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a twistor-like formula for the complete tree-level S matrix of 6D
$(2,0)$ supergravity coupled to $21$ abelian tensor multiplets. This is the
low-energy effective theory that corresponds to Type IIB superstring theory
compactified on a $\mathrm{K}3$ surface. The formula is expressed as an
integral over the moduli space of certain rational maps of the punctured
Riemann sphere. By studying soft limits of the formula, we are able to explore
the local moduli space of this theory, ${SO(5,21)\over SO(5)\times SO(21)}$.
Finally, by dimensional reduction, we also obtain a new formula for the
tree-level S matrix of 4D $\mathcal{N}=4$ Einstein-Maxwell theory.
|
[
{
"created": "Fri, 14 Dec 2018 19:04:40 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Feb 2019 23:24:17 GMT",
"version": "v2"
},
{
"created": "Wed, 27 Mar 2019 20:34:21 GMT",
"version": "v3"
}
] |
2019-03-29
|
[
[
"Heydeman",
"Matthew",
""
],
[
"Schwarz",
"John H.",
""
],
[
"Wen",
"Congkao",
""
],
[
"Zhang",
"Shun-Qing",
""
]
] |
We present a twistor-like formula for the complete tree-level S matrix of 6D $(2,0)$ supergravity coupled to $21$ abelian tensor multiplets. This is the low-energy effective theory that corresponds to Type IIB superstring theory compactified on a $\mathrm{K}3$ surface. The formula is expressed as an integral over the moduli space of certain rational maps of the punctured Riemann sphere. By studying soft limits of the formula, we are able to explore the local moduli space of this theory, ${SO(5,21)\over SO(5)\times SO(21)}$. Finally, by dimensional reduction, we also obtain a new formula for the tree-level S matrix of 4D $\mathcal{N}=4$ Einstein-Maxwell theory.
|
hep-th/0204212
|
Thomas Hertog
|
S.W.Hawking, Thomas Hertog
|
Why Does Inflation Start at the Top of the Hill?
|
21 pages, 1 figure
|
Phys.Rev. D66 (2002) 123509
|
10.1103/PhysRevD.66.123509
| null |
hep-th
| null |
We show why the universe started in an unstable de Sitter state. The quantum
origin of our universe implies one must take a `top down' approach to the
problem of initial conditions in cosmology, in which the histories that
contribute to the path integral, depend on the observable being measured. Using
the no boundary proposal to specify the class of histories, we study the
quantum cosmological origin of an inflationary universe in theories like trace
anomaly driven inflation in which the effective potential has a local maximum.
We find that an expanding universe is most likely to emerge in an unstable de
Sitter state, by semiclassical tunneling via a Hawking-Moss instanton. Since
the top down view is forced upon us by the quantum nature of the universe, we
argue that the approach developed here should still apply when the framework of
quantum cosmology will be based on M-Theory.
|
[
{
"created": "Thu, 25 Apr 2002 00:49:27 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Hawking",
"S. W.",
""
],
[
"Hertog",
"Thomas",
""
]
] |
We show why the universe started in an unstable de Sitter state. The quantum origin of our universe implies one must take a `top down' approach to the problem of initial conditions in cosmology, in which the histories that contribute to the path integral, depend on the observable being measured. Using the no boundary proposal to specify the class of histories, we study the quantum cosmological origin of an inflationary universe in theories like trace anomaly driven inflation in which the effective potential has a local maximum. We find that an expanding universe is most likely to emerge in an unstable de Sitter state, by semiclassical tunneling via a Hawking-Moss instanton. Since the top down view is forced upon us by the quantum nature of the universe, we argue that the approach developed here should still apply when the framework of quantum cosmology will be based on M-Theory.
|
1608.08304
|
Qing-Yu Cai
|
Qing-yu Cai, Chang-pu Sun and Li You
|
Information-carrying Hawking radiation and the number of microstate for
a black hole
| null |
Nuclear Physics B 905 (2016) 327-336
|
10.1016/j.nuclphysb.2016.02.030
| null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a necessary and sufficient condition to falsify whether a Hawking
radiation spectrum indicates unitary emission process or not from the
perspective of information theory. With this condition, we show the precise
values of Bekenstein-Hawking entropies for Schwarzschild black holes and
Reissner-Nordstr\"om black holes can be calculated by counting the microstates
of their Hawking radiations. In particular, for the extremal
Reissner-Nordstr\"om black hole, its number of microstate and the corresponding
entropy we obtain are found to be consistent with the string theory results.
Our finding helps to refute the dispute about the Bekenstein-Hawking entropy of
extremal black holes in the semiclassical limit.
|
[
{
"created": "Tue, 30 Aug 2016 02:19:31 GMT",
"version": "v1"
}
] |
2016-08-31
|
[
[
"Cai",
"Qing-yu",
""
],
[
"Sun",
"Chang-pu",
""
],
[
"You",
"Li",
""
]
] |
We present a necessary and sufficient condition to falsify whether a Hawking radiation spectrum indicates unitary emission process or not from the perspective of information theory. With this condition, we show the precise values of Bekenstein-Hawking entropies for Schwarzschild black holes and Reissner-Nordstr\"om black holes can be calculated by counting the microstates of their Hawking radiations. In particular, for the extremal Reissner-Nordstr\"om black hole, its number of microstate and the corresponding entropy we obtain are found to be consistent with the string theory results. Our finding helps to refute the dispute about the Bekenstein-Hawking entropy of extremal black holes in the semiclassical limit.
|
0804.3782
|
Seckin Kurkcuoglu
|
Seckin Kurkcuoglu
|
Noncommutative Nonlinear Sigma Models and Integrability
|
17+1 pages, LaTeX, Added references, corrected typos, published
version
|
Phys.Rev.D78:065020,2008
|
10.1103/PhysRevD.78.065020
|
ITP-UH-10/08
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We first review the result that the noncommutative principal chiral model has
an infinite tower of conserved currents, and discuss the special case of the
noncommutative CP^1 model in some detail. Next, we focus our attention to a
submodel of the CP^1 model in the noncommutative spacetime A_\theta(R^2+1). By
extending a generalized zero curvature representation to A_\theta(R^2+1) we
discuss its integrability and construct its infinitely many conserved currents.
Supersymmetric principal chiral model with and without the WZW term and a
supersymmetric extension of the CP^1 submodel in noncommutative spacetime (i.e
in superspaces A_\theta(R^1+1|2), A_\theta(R^2+1|2)) are also examined in
detail and their infinitely many conserved currents are given in a systematic
manner. Finally, we discuss the solutions of the aforementioned submodels with
or without supersymmetry.
|
[
{
"created": "Wed, 23 Apr 2008 19:01:22 GMT",
"version": "v1"
},
{
"created": "Mon, 5 May 2008 20:39:12 GMT",
"version": "v2"
},
{
"created": "Mon, 15 Sep 2008 12:00:28 GMT",
"version": "v3"
}
] |
2008-09-15
|
[
[
"Kurkcuoglu",
"Seckin",
""
]
] |
We first review the result that the noncommutative principal chiral model has an infinite tower of conserved currents, and discuss the special case of the noncommutative CP^1 model in some detail. Next, we focus our attention to a submodel of the CP^1 model in the noncommutative spacetime A_\theta(R^2+1). By extending a generalized zero curvature representation to A_\theta(R^2+1) we discuss its integrability and construct its infinitely many conserved currents. Supersymmetric principal chiral model with and without the WZW term and a supersymmetric extension of the CP^1 submodel in noncommutative spacetime (i.e in superspaces A_\theta(R^1+1|2), A_\theta(R^2+1|2)) are also examined in detail and their infinitely many conserved currents are given in a systematic manner. Finally, we discuss the solutions of the aforementioned submodels with or without supersymmetry.
|
2205.04854
|
John Lai
|
John Lai
|
On the perturbative aspects of deformed Yang-Mills theory
|
34 pages, 4 figures
|
Phys. Rev. D 107, 045013 (2023)
|
10.1103/PhysRevD.107.045013
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
Centre-stabilised $SU(N)$ Yang-Mills theories on $\mathbb{R}^3 \times S^1$
are QCD-like theories that can be engineered to remain weakly-coupled at all
energy scales by taking the $S^1$ circle length $L$ to be sufficiently small.
In this regime, these theories admit effective long-distance descriptions as
Abelian $U(1)^{N-1}$ gauge theories on $\mathbb{R}^3$, and semiclassics can be
reliably employed to study non-perturbative phenomena such as colour
confinement and the generation of mass gaps in an analytical setting. At the
perturbative tree level, the long-distance effective theory contains $(N-1)$
free photons with identical gauge couplings $g^2_3 \equiv g^2/L$. Vacuum
polarisation effects, from integrating out heavy charged fields, lift this
degeneracy to give $\floor{\frac{N}{2}}$ distinct values:
$g^2(\frac{2}{L})\lesssim g_{3,\ell}^2 L \lesssim g^2(\frac{2\pi}{NL}) $. In
this work, we calculate these corrections to one-loop order in theories where
the centre-symmetric vacuum is stabilised by $2\leq n_f \leq 5$ massive adjoint
Weyl fermions with masses of order $m_\lambda \sim \frac{2\pi}{NL}$, (also
known as "deformed Yang-Mills,") and show that our results agree with those
found in previous studies in the $m_\lambda \to 0$ limit. Then, we show that
our result has an intuitive interpretation as the running of the coupling in a
"lattice momentum" in the context of the non-perturbative "emergent latticised
fourth dimension" in the $N\to \infty$, fixed-$NL$ limit.
|
[
{
"created": "Tue, 10 May 2022 12:53:27 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Mar 2023 09:29:14 GMT",
"version": "v2"
}
] |
2023-03-27
|
[
[
"Lai",
"John",
""
]
] |
Centre-stabilised $SU(N)$ Yang-Mills theories on $\mathbb{R}^3 \times S^1$ are QCD-like theories that can be engineered to remain weakly-coupled at all energy scales by taking the $S^1$ circle length $L$ to be sufficiently small. In this regime, these theories admit effective long-distance descriptions as Abelian $U(1)^{N-1}$ gauge theories on $\mathbb{R}^3$, and semiclassics can be reliably employed to study non-perturbative phenomena such as colour confinement and the generation of mass gaps in an analytical setting. At the perturbative tree level, the long-distance effective theory contains $(N-1)$ free photons with identical gauge couplings $g^2_3 \equiv g^2/L$. Vacuum polarisation effects, from integrating out heavy charged fields, lift this degeneracy to give $\floor{\frac{N}{2}}$ distinct values: $g^2(\frac{2}{L})\lesssim g_{3,\ell}^2 L \lesssim g^2(\frac{2\pi}{NL}) $. In this work, we calculate these corrections to one-loop order in theories where the centre-symmetric vacuum is stabilised by $2\leq n_f \leq 5$ massive adjoint Weyl fermions with masses of order $m_\lambda \sim \frac{2\pi}{NL}$, (also known as "deformed Yang-Mills,") and show that our results agree with those found in previous studies in the $m_\lambda \to 0$ limit. Then, we show that our result has an intuitive interpretation as the running of the coupling in a "lattice momentum" in the context of the non-perturbative "emergent latticised fourth dimension" in the $N\to \infty$, fixed-$NL$ limit.
|
hep-th/9709111
| null |
Andrea Brignole (CERN-TH), Ferruccio Feruglio (Padua Univ.), Fabio
Zwirner (INFN-Padua)
|
On the effective interactions of a light gravitino with matter fermions
|
12 pages, 1 figure, plain LaTeX. An important proof added in section
5. Final version to be published in JHEP
|
JHEP 9711:001,1997
|
10.1088/1126-6708/1997/11/001
|
CERN-TH/97-244, DFPD~97/TH/35
|
hep-th hep-ph
| null |
If the gravitino is light and all the other supersymmetric particles are
heavy, we can consider the effective theory describing the interactions of its
goldstino components with ordinary matter. To discuss the model-dependence of
these interactions, we take the simple case of spontaneously broken
supersymmetry and only two chiral superfields, associated with the goldstino
and a massless matter fermion. We derive the four-point effective coupling
involving two matter fermions and two goldstinos, by explicit integration of
the heavy spin-0 degrees of freedom in the low-energy limit. Surprisingly, our
result is not equivalent to the usual non-linear realization of supersymmetry,
where a pair of goldstinos couples to the energy-momentum tensor of the matter
fields. We solve the puzzle by enlarging the non-linear realization to include
a second independent invariant coupling, and we show that there are no other
independent couplings of this type up to this order in the low-energy
expansion. We conclude by commenting on the interpretation of our results and
on their possible phenomenological implications.
|
[
{
"created": "Tue, 16 Sep 1997 14:44:58 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Sep 1997 17:34:41 GMT",
"version": "v2"
},
{
"created": "Mon, 3 Nov 1997 19:27:30 GMT",
"version": "v3"
}
] |
2014-11-18
|
[
[
"Brignole",
"Andrea",
"",
"CERN-TH"
],
[
"Feruglio",
"Ferruccio",
"",
"Padua Univ."
],
[
"Zwirner",
"Fabio",
"",
"INFN-Padua"
]
] |
If the gravitino is light and all the other supersymmetric particles are heavy, we can consider the effective theory describing the interactions of its goldstino components with ordinary matter. To discuss the model-dependence of these interactions, we take the simple case of spontaneously broken supersymmetry and only two chiral superfields, associated with the goldstino and a massless matter fermion. We derive the four-point effective coupling involving two matter fermions and two goldstinos, by explicit integration of the heavy spin-0 degrees of freedom in the low-energy limit. Surprisingly, our result is not equivalent to the usual non-linear realization of supersymmetry, where a pair of goldstinos couples to the energy-momentum tensor of the matter fields. We solve the puzzle by enlarging the non-linear realization to include a second independent invariant coupling, and we show that there are no other independent couplings of this type up to this order in the low-energy expansion. We conclude by commenting on the interpretation of our results and on their possible phenomenological implications.
|
1806.06586
|
Robert de Mello Koch
|
Robert de Mello Koch, Jia-Hui Huang and Laila Tribelhorn
|
Exciting LLM Geometries
|
30 pages plus Appendices
| null |
10.1007/JHEP07(2018)146
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study excitations of LLM geometries. These geometries arise from the
backreaction of a condensate of giant gravitons. Excitations of the condensed
branes are open strings, which give rise to an emergent Yang-Mills theory at
low energy. We study the dynamics of the planar limit of these emergent gauge
theories, accumulating evidence that they are planar ${\cal N}=4$ super
Yang-Mills. There are three observations supporting this conclusion: (i) we
argue for an isomorphism between the planar Hilbert space of the original
${\cal N}=4$ super Yang-Mills and the planar Hilbert space of the emergent
gauge theory, (ii) we argue that the OPE coefficients of the planar limit of
the emergent gauge theory vanish and (iii) we argue that the planar spectrum of
anomalous dimensions of the emergent gauge theory is that of planar ${\cal
N}=4$ super Yang-Mills. Despite the fact that the planar limit of the emergent
gauge theory is planar ${\cal N}=4$ super Yang-Mills, we explain why the
emergent gauge theory is not ${\cal N}=4$ super Yang-Mills theory.
|
[
{
"created": "Mon, 18 Jun 2018 10:30:20 GMT",
"version": "v1"
}
] |
2018-08-15
|
[
[
"Koch",
"Robert de Mello",
""
],
[
"Huang",
"Jia-Hui",
""
],
[
"Tribelhorn",
"Laila",
""
]
] |
We study excitations of LLM geometries. These geometries arise from the backreaction of a condensate of giant gravitons. Excitations of the condensed branes are open strings, which give rise to an emergent Yang-Mills theory at low energy. We study the dynamics of the planar limit of these emergent gauge theories, accumulating evidence that they are planar ${\cal N}=4$ super Yang-Mills. There are three observations supporting this conclusion: (i) we argue for an isomorphism between the planar Hilbert space of the original ${\cal N}=4$ super Yang-Mills and the planar Hilbert space of the emergent gauge theory, (ii) we argue that the OPE coefficients of the planar limit of the emergent gauge theory vanish and (iii) we argue that the planar spectrum of anomalous dimensions of the emergent gauge theory is that of planar ${\cal N}=4$ super Yang-Mills. Despite the fact that the planar limit of the emergent gauge theory is planar ${\cal N}=4$ super Yang-Mills, we explain why the emergent gauge theory is not ${\cal N}=4$ super Yang-Mills theory.
|
0804.0274
|
Igor Krichever
|
I.Krichever and T.Shiota
|
Abelian solutions of the KP equation
|
21 pages, no figures
| null | null | null |
hep-th math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We introduce the notion of abelian solutions of KP equations and show that
all of them are algebro-geometric.
|
[
{
"created": "Wed, 2 Apr 2008 00:23:47 GMT",
"version": "v1"
}
] |
2008-04-04
|
[
[
"Krichever",
"I.",
""
],
[
"Shiota",
"T.",
""
]
] |
We introduce the notion of abelian solutions of KP equations and show that all of them are algebro-geometric.
|
1206.4916
|
T. Padmanabhan
|
T. Padmanabhan
|
Emergence and Expansion of Cosmic Space as due to the Quest for
Holographic Equipartition
|
4 pages; 1 figure
| null | null | null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
One possible interpretation of the holographic principle is the equality of
the number of degrees of freedom in a bulk region of space and the number of
degrees of freedom on the boundary surface. It is known that such an equality
is maintained on equipotential surfaces in any static spacetime in the form of
an equipartition law N_{bulk}= N_{sur}. In the cosmological context, the de
Sitter universe obeys the same holographic equipartition. I argue that the
difference between the surface degrees of freedom and the bulk degrees of
freedom in a region of space (which has already emerged) drives the accelerated
expansion of the universe through a simple equation dV/dt = (N_{sur} -
N_{bulk}) where V is the Hubble volume in Planck units and t is the cosmic time
in Planck units. This equation reproduces the standard evolution of the
universe. This approach provides a novel paradigm to study the emergence of
space and cosmology and has far reaching implications.
|
[
{
"created": "Thu, 21 Jun 2012 15:33:16 GMT",
"version": "v1"
}
] |
2012-06-22
|
[
[
"Padmanabhan",
"T.",
""
]
] |
One possible interpretation of the holographic principle is the equality of the number of degrees of freedom in a bulk region of space and the number of degrees of freedom on the boundary surface. It is known that such an equality is maintained on equipotential surfaces in any static spacetime in the form of an equipartition law N_{bulk}= N_{sur}. In the cosmological context, the de Sitter universe obeys the same holographic equipartition. I argue that the difference between the surface degrees of freedom and the bulk degrees of freedom in a region of space (which has already emerged) drives the accelerated expansion of the universe through a simple equation dV/dt = (N_{sur} - N_{bulk}) where V is the Hubble volume in Planck units and t is the cosmic time in Planck units. This equation reproduces the standard evolution of the universe. This approach provides a novel paradigm to study the emergence of space and cosmology and has far reaching implications.
|
1410.1171
|
Veronika E. Hubeny
|
Veronika E. Hubeny and Gordon W. Semenoff
|
String worldsheet for accelerating quark
|
28 pages, 8 figures; v2: minor clarifications added
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the AdS bulk dual to an external massive quark in SYM following
an arbitrary trajectory on Minkowski background. While a purely outgoing
boundary condition on the gluonic field allows one to express the corresponding
string worldsheet in a closed form, the setup has curious consequences. In
particular, we argue that any quark whose trajectory on flat spacetime
approaches that of a light ray in the remote past (as happens e.g. in the case
of uniform acceleration) must necessarily be accompanied by an anti-quark. This
is puzzling from the field theory standpoint, since one would expect that a
sole quark following any timelike trajectory should be allowed. We explain the
resolution in terms of boundary and initial conditions. We analyze the
configuration in global AdS, which naturally suggests a modification to the
boundary conditions allowing for a single accelerated quark without
accompanying anti-quark. We contrast this resolution with earlier proposals.
|
[
{
"created": "Sun, 5 Oct 2014 16:11:43 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Aug 2015 17:22:03 GMT",
"version": "v2"
}
] |
2015-08-06
|
[
[
"Hubeny",
"Veronika E.",
""
],
[
"Semenoff",
"Gordon W.",
""
]
] |
We consider the AdS bulk dual to an external massive quark in SYM following an arbitrary trajectory on Minkowski background. While a purely outgoing boundary condition on the gluonic field allows one to express the corresponding string worldsheet in a closed form, the setup has curious consequences. In particular, we argue that any quark whose trajectory on flat spacetime approaches that of a light ray in the remote past (as happens e.g. in the case of uniform acceleration) must necessarily be accompanied by an anti-quark. This is puzzling from the field theory standpoint, since one would expect that a sole quark following any timelike trajectory should be allowed. We explain the resolution in terms of boundary and initial conditions. We analyze the configuration in global AdS, which naturally suggests a modification to the boundary conditions allowing for a single accelerated quark without accompanying anti-quark. We contrast this resolution with earlier proposals.
|
hep-th/9207069
|
Francesco Ravanini
|
F.Ravanini, R. Tateo and A.Valleriani
|
A New Family of Diagonal Ade-Related Scattering Theories
|
13 pages, Latex (no macros), DFUB-92-12, DFTT/30-92
|
Phys.Lett. B293 (1992) 361-366
|
10.1016/0370-2693(92)90896-C
| null |
hep-th
| null |
We propose the factorizable S-matrices of the massive excitations of the
non-unitary minimal model $M_{2,11}$ perturbed by the operator $\Phi_{1,4}$.
The massive excitations and the whole set of two particle S-matrices of the
theory is simply related to the $E_8$ unitary minimal scattering theory. The
counting argument and the Thermodynamic Bethe Ansatz (TBA) are applied to this
scattering theory in order to support this interpretation. Generalizing this
result, we describe a new family of NON UNITARY and DIAGONAL $ADE$-related
scattering theories. A further generalization suggests the magnonic TBA for a
large class of non-unitary $\G\otimes\G/\G$ coset models
($\G=A_{odd},D_n,E_{6,7,8}$) perturbed by $\Phi_{id,id,adj}$, described by
non-diagonal S-matrices.
|
[
{
"created": "Tue, 21 Jul 1992 22:38:00 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Ravanini",
"F.",
""
],
[
"Tateo",
"R.",
""
],
[
"Valleriani",
"A.",
""
]
] |
We propose the factorizable S-matrices of the massive excitations of the non-unitary minimal model $M_{2,11}$ perturbed by the operator $\Phi_{1,4}$. The massive excitations and the whole set of two particle S-matrices of the theory is simply related to the $E_8$ unitary minimal scattering theory. The counting argument and the Thermodynamic Bethe Ansatz (TBA) are applied to this scattering theory in order to support this interpretation. Generalizing this result, we describe a new family of NON UNITARY and DIAGONAL $ADE$-related scattering theories. A further generalization suggests the magnonic TBA for a large class of non-unitary $\G\otimes\G/\G$ coset models ($\G=A_{odd},D_n,E_{6,7,8}$) perturbed by $\Phi_{id,id,adj}$, described by non-diagonal S-matrices.
|
0705.2898
|
V. Parameswaran Nair
|
Dimitra Karabali, V.P. Nair
|
The robustness of the vacuum wave function and other matters for
Yang-Mills theory
|
18 pages
|
Phys.Rev.D77:025014,2008
|
10.1103/PhysRevD.77.025014
|
CCNY-HEP-07/5
|
hep-th
| null |
In the first part of this paper, we present a set of simple arguments to show
that the two-dimensional gauge anomaly and the (2+1)-dimensional Lorentz
symmetry determine the leading Gaussian term in the vacuum wave function of
(2+1)-dimensional Yang-Mills theory. This is to highlight the robustness of the
wave function and its relative insensitivity to the choice of regularizations.
We then comment on the correspondence with the explicit calculations done in
earlier papers. We also make some comments on the nature of the gauge-invariant
configuration space for Euclidean three-dimensional gauge fields (relevant to
(3+1)-dimensional Yang-Mills theory).
|
[
{
"created": "Mon, 21 May 2007 00:39:35 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Karabali",
"Dimitra",
""
],
[
"Nair",
"V. P.",
""
]
] |
In the first part of this paper, we present a set of simple arguments to show that the two-dimensional gauge anomaly and the (2+1)-dimensional Lorentz symmetry determine the leading Gaussian term in the vacuum wave function of (2+1)-dimensional Yang-Mills theory. This is to highlight the robustness of the wave function and its relative insensitivity to the choice of regularizations. We then comment on the correspondence with the explicit calculations done in earlier papers. We also make some comments on the nature of the gauge-invariant configuration space for Euclidean three-dimensional gauge fields (relevant to (3+1)-dimensional Yang-Mills theory).
|
hep-th/9708096
|
Manoelito Martins de Souza
|
Manoelito M. de Souza
|
Dynamics and causality constraints in field theory
|
10 pages, Revtex, 4 ps figures
| null | null |
UFES-DF-MMS-97/1
|
hep-th gr-qc hep-ph quant-ph
| null |
We discuss the physical meaning and the geometric interpretation of causality
implementation in classical field theories. Causality is normally implemented
through kinematical constraints on fields but we show that in a zero-distance
limit they also carry a dynamical information, which calls for a revision of
our standard concepts of interacting fields. The origin of infinities and other
inconsistencies in field theories is traced to fields defined with support on
the lightcone; a finite and consistent field theory requires a lightcone
generator as the field support.
|
[
{
"created": "Mon, 18 Aug 1997 17:50:19 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"de Souza",
"Manoelito M.",
""
]
] |
We discuss the physical meaning and the geometric interpretation of causality implementation in classical field theories. Causality is normally implemented through kinematical constraints on fields but we show that in a zero-distance limit they also carry a dynamical information, which calls for a revision of our standard concepts of interacting fields. The origin of infinities and other inconsistencies in field theories is traced to fields defined with support on the lightcone; a finite and consistent field theory requires a lightcone generator as the field support.
|
2007.07262
|
Jonathan Heckman
|
Florent Baume, Jonathan J. Heckman, and Craig Lawrie
|
6D SCFTs, 4D SCFTs, Conformal Matter, and Spin Chains
|
v4: 52 pages, 5 figures, typos corrected
| null |
10.1016/j.nuclphysb.2021.115401
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recent work has established a uniform characterization of most 6D SCFTs in
terms of generalized quivers with conformal matter. Compactification of the
partial tensor branch deformation of these theories on a $T^2$ leads to 4D
$\mathcal{N} = 2$ SCFTs which are also generalized quivers. Taking products of
bifundamental conformal matter operators, we present evidence that there are
large R-charge sectors of the theory in which operator mixing is captured by a
1D spin chain Hamiltonian with operator scaling dimensions controlled by a
perturbation series in inverse powers of the R-charge. We regulate the inherent
divergences present in the 6D computations with the associated 5D Kaluza--Klein
theory. In the case of 6D SCFTs obtained from M5-branes probing a
$\mathbb{C}^{2}/\mathbb{Z}_{K}$ singularity, we show that there is a class of
operators where the leading order mixing effects are captured by the integrable
Heisenberg $XXX_{s=1/2}$ spin chain with open boundary conditions, and similar
considerations hold for its $T^2$ reduction to a 4D $\mathcal{N}=2$ SCFT. In
the case of M5-branes probing more general D- and E-type singularities where
generalized quivers have conformal matter, we argue that similar mixing effects
are captured by an integrable $XXX_{s}$ spin chain with $s>1/2$. We also
briefly discuss some generalizations to other operator sectors as well as
little string theories.
|
[
{
"created": "Tue, 14 Jul 2020 18:00:03 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Aug 2020 14:42:52 GMT",
"version": "v2"
},
{
"created": "Wed, 21 Apr 2021 22:40:13 GMT",
"version": "v3"
},
{
"created": "Wed, 31 Aug 2022 14:50:39 GMT",
"version": "v4"
}
] |
2022-09-01
|
[
[
"Baume",
"Florent",
""
],
[
"Heckman",
"Jonathan J.",
""
],
[
"Lawrie",
"Craig",
""
]
] |
Recent work has established a uniform characterization of most 6D SCFTs in terms of generalized quivers with conformal matter. Compactification of the partial tensor branch deformation of these theories on a $T^2$ leads to 4D $\mathcal{N} = 2$ SCFTs which are also generalized quivers. Taking products of bifundamental conformal matter operators, we present evidence that there are large R-charge sectors of the theory in which operator mixing is captured by a 1D spin chain Hamiltonian with operator scaling dimensions controlled by a perturbation series in inverse powers of the R-charge. We regulate the inherent divergences present in the 6D computations with the associated 5D Kaluza--Klein theory. In the case of 6D SCFTs obtained from M5-branes probing a $\mathbb{C}^{2}/\mathbb{Z}_{K}$ singularity, we show that there is a class of operators where the leading order mixing effects are captured by the integrable Heisenberg $XXX_{s=1/2}$ spin chain with open boundary conditions, and similar considerations hold for its $T^2$ reduction to a 4D $\mathcal{N}=2$ SCFT. In the case of M5-branes probing more general D- and E-type singularities where generalized quivers have conformal matter, we argue that similar mixing effects are captured by an integrable $XXX_{s}$ spin chain with $s>1/2$. We also briefly discuss some generalizations to other operator sectors as well as little string theories.
|
1705.10736
|
Massimiliano Rota
|
Donald Marolf, Massimiliano Rota and Jason Wien
|
Handlebody phases and the polyhedrality of the holographic entropy cone
|
20 pages, 7 figures, minor change, added ref, published version
|
JHEP 1710 (2017) 069
|
10.1007/JHEP10(2017)069
| null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The notion of a holographic entropy cone has recently been introduced and it
has been proven that this cone is polyhedral. However, the original definition
was fully geometric and did not strictly require a holographic duality. We
introduce a new definition of the cone, insisting that the geometries used for
its construction should be dual to states of a CFT. As a result, the
polyhedrality of this holographic cone does not immediately follow. A numerical
evaluation of the Euclidean action for the geometries that realize extremal
rays of the original cone indicates that these are subdominant bulk phases of
natural path integrals. The result challenges the expectation that such
geometries are in fact dual to CFT states.
|
[
{
"created": "Tue, 30 May 2017 16:39:55 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Oct 2017 17:31:58 GMT",
"version": "v2"
}
] |
2017-10-24
|
[
[
"Marolf",
"Donald",
""
],
[
"Rota",
"Massimiliano",
""
],
[
"Wien",
"Jason",
""
]
] |
The notion of a holographic entropy cone has recently been introduced and it has been proven that this cone is polyhedral. However, the original definition was fully geometric and did not strictly require a holographic duality. We introduce a new definition of the cone, insisting that the geometries used for its construction should be dual to states of a CFT. As a result, the polyhedrality of this holographic cone does not immediately follow. A numerical evaluation of the Euclidean action for the geometries that realize extremal rays of the original cone indicates that these are subdominant bulk phases of natural path integrals. The result challenges the expectation that such geometries are in fact dual to CFT states.
|
hep-th/0207041
|
Gerhard Weigt
|
George Jorjadze and Gerhard Weigt
|
Zero Mode Problem of Liouville Field Theory
|
25 pages, latex, 4 figures, chap. 3.2 extended, chap. 3.3 new, former
chap. 3.3 as App. E
| null | null | null |
hep-th
| null |
We quantise canonical free-field zero modes $p$, $q$ on a half-plane $p>0$
both, for the Liouville field theory and its reduced Liouville particle
dynamics. We describe the particle dynamics in detail, calculate one-point
functions of particle vertex operators, deduce their zero mode realisation on
the half-plane, and prove that the particle vertex operators act self-adjointly
on a Hilbert space $L^2(\rr_+)$ on account of symmetries generated by the
$S$-matrix. Similarly, self-adjointness of the corresponding vertex operator of
Liouville field theory in the zero mode sector is obtained by applying the
Liouville reflection amplitude, which is derived by the operator method.
|
[
{
"created": "Thu, 4 Jul 2002 15:01:01 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Feb 2003 15:19:54 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Jorjadze",
"George",
""
],
[
"Weigt",
"Gerhard",
""
]
] |
We quantise canonical free-field zero modes $p$, $q$ on a half-plane $p>0$ both, for the Liouville field theory and its reduced Liouville particle dynamics. We describe the particle dynamics in detail, calculate one-point functions of particle vertex operators, deduce their zero mode realisation on the half-plane, and prove that the particle vertex operators act self-adjointly on a Hilbert space $L^2(\rr_+)$ on account of symmetries generated by the $S$-matrix. Similarly, self-adjointness of the corresponding vertex operator of Liouville field theory in the zero mode sector is obtained by applying the Liouville reflection amplitude, which is derived by the operator method.
|
0812.0654
|
Lorenz von Smekal
|
Lorenz von Smekal
|
Landau Gauge QCD: Functional Methods versus Lattice Simulations
|
8 pages, 2 eps figures. Plenary talk given at the 13th International
Conference on Selected Problems of Modern Theoretical Physics (SPMTP08),
Bogoliubov Laboratory of Theoretical Physics, Dubna, Russia, 23 -- 27 June,
2008
| null | null |
ADP-08-13/T673
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The infrared behaviour of QCD Green's functions in Landau gauge has been
focus of intense study. Different non-perturbative approaches lead to a
prediction in line with the conditions for confinement in local quantum field
theory as spelled out in the Kugo-Ojima criterion. Detailed comparisons with
lattice studies have revealed small but significant differences, however. But
aren't we comparing apples with oranges when contrasting lattice Landau gauge
simulations with these continuum results? The answer is yes, and we need to
change that. We therefore propose a reformulation of Landau gauge on the
lattice which will allow us to perform gauge-fixed Monte-Carlo simulations
matching the continuum methods of local field theory which will thereby be
elevated to a non-perturbative level at the same time.
|
[
{
"created": "Wed, 3 Dec 2008 05:41:00 GMT",
"version": "v1"
}
] |
2008-12-04
|
[
[
"von Smekal",
"Lorenz",
""
]
] |
The infrared behaviour of QCD Green's functions in Landau gauge has been focus of intense study. Different non-perturbative approaches lead to a prediction in line with the conditions for confinement in local quantum field theory as spelled out in the Kugo-Ojima criterion. Detailed comparisons with lattice studies have revealed small but significant differences, however. But aren't we comparing apples with oranges when contrasting lattice Landau gauge simulations with these continuum results? The answer is yes, and we need to change that. We therefore propose a reformulation of Landau gauge on the lattice which will allow us to perform gauge-fixed Monte-Carlo simulations matching the continuum methods of local field theory which will thereby be elevated to a non-perturbative level at the same time.
|
1311.1941
|
Andrei Constantin
|
Evgeny I. Buchbinder, Andrei Constantin and Andre Lukas
|
The Moduli Space of Heterotic Line Bundle Models: a Case Study for the
Tetra-Quadric
|
49 pages, Latex
|
JHEP03 (2014) 025
|
10.1007/JHEP03(2014)025
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It has recently been realised that polystable, holomorphic sums of line
bundles over smooth Calabi-Yau three-folds provide a fertile ground for
heterotic model building. Large numbers of phenomenologically promising such
models have been constructed for various classes of Calabi-Yau manifolds. In
this paper we focus on a case study for the tetra-quadric - a Calabi-Yau
hypersurface embedded in a product of four CP1 spaces. We address the question
of finiteness of the class of consistent and physically viable line bundle
models constructed on this manifold. Further, for a specific semi-realistic
example, we explore the embedding of the line bundle sum into the larger moduli
space of non-Abelian bundles, both by means of constructing specific polystable
non-Abelian bundles and by turning on VEVs in the associated low-energy theory.
In this context, we explore the fate of the Higgs doublets as we move in bundle
moduli space. The non-Abelian compactifications thus constructed lead to SU(5)
GUT models with an additional global B-L symmetry. The non-Abelian
compactifications inherit many of the appealing phenomenological features of
the Abelian model, such as the absence of dimension four and dimension five
operators triggering fast proton decay.
|
[
{
"created": "Fri, 8 Nov 2013 11:40:47 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Dec 2013 00:47:57 GMT",
"version": "v2"
}
] |
2015-06-17
|
[
[
"Buchbinder",
"Evgeny I.",
""
],
[
"Constantin",
"Andrei",
""
],
[
"Lukas",
"Andre",
""
]
] |
It has recently been realised that polystable, holomorphic sums of line bundles over smooth Calabi-Yau three-folds provide a fertile ground for heterotic model building. Large numbers of phenomenologically promising such models have been constructed for various classes of Calabi-Yau manifolds. In this paper we focus on a case study for the tetra-quadric - a Calabi-Yau hypersurface embedded in a product of four CP1 spaces. We address the question of finiteness of the class of consistent and physically viable line bundle models constructed on this manifold. Further, for a specific semi-realistic example, we explore the embedding of the line bundle sum into the larger moduli space of non-Abelian bundles, both by means of constructing specific polystable non-Abelian bundles and by turning on VEVs in the associated low-energy theory. In this context, we explore the fate of the Higgs doublets as we move in bundle moduli space. The non-Abelian compactifications thus constructed lead to SU(5) GUT models with an additional global B-L symmetry. The non-Abelian compactifications inherit many of the appealing phenomenological features of the Abelian model, such as the absence of dimension four and dimension five operators triggering fast proton decay.
|
hep-th/0401109
|
Rodrigo Olea
|
Rodrigo Olea
|
Charged Rotating Black Hole Formation from Thin Shell Collapse in Three
Dimensions
|
15 pages, no figures. Discussion on junction conditions and
conclusions enlarged. Few references added. Final version for MPLA
|
Mod.Phys.Lett. A20 (2005) 2649
|
10.1142/S021773230501827X
| null |
hep-th gr-qc
| null |
The thin shell collapse leading to the formation of charged rotating black
holes in three dimensions is analyzed in the light of a recently developed
Hamiltonian formalism for these systems. It is proposed to demand, as a way to
reconcile the properties of an infinitely extended solenoid in flat space with
a magnetic black hole in three dimensions, that the magnetic field should
vanish just outside the shell. The adoption of this boundary condition results
in an exterior solution with a magnetic field different from zero at a finite
distance from the shell. The interior solution is also found and assigns
another interpretation, in a different context, to the magnetic solution
previously obtained by Cl\'{e}ment and by Hirschmann and Welch.
|
[
{
"created": "Thu, 15 Jan 2004 21:57:01 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Sep 2004 23:51:17 GMT",
"version": "v2"
},
{
"created": "Tue, 8 Nov 2005 14:13:33 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Olea",
"Rodrigo",
""
]
] |
The thin shell collapse leading to the formation of charged rotating black holes in three dimensions is analyzed in the light of a recently developed Hamiltonian formalism for these systems. It is proposed to demand, as a way to reconcile the properties of an infinitely extended solenoid in flat space with a magnetic black hole in three dimensions, that the magnetic field should vanish just outside the shell. The adoption of this boundary condition results in an exterior solution with a magnetic field different from zero at a finite distance from the shell. The interior solution is also found and assigns another interpretation, in a different context, to the magnetic solution previously obtained by Cl\'{e}ment and by Hirschmann and Welch.
|
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