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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0808.1911
|
Geoffrey Comp\`ere
|
Geoffrey Comp\`ere and St\'ephane Detournay
|
Semi-classical central charge in topologically massive gravity
|
major sign mistake in the central charge corrected. Conclusion
adapted. Minor typos corrected
|
Class.Quant.Grav.26:012001,2009; Erratum-ibid.26:139801,2009
|
10.1088/0264-9381/26/1/012001 10.1088/0264-9381/26/13/139801
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is shown that the warped black holes geometries discussed recently in
0807.3040 admit an algebra of asymptotic symmetries isomorphic to the
semi-direct product of a Virasoro algebra and an algebra of currents. The
realization of this asymptotic symmetry by canonical charges allows one to find
the central charge of the Virasoro algebra. The right-moving central charge
$c_R = \frac{(5\hat{\nu}^2+3)l}{G\hat{\nu} (\hat{\nu}^2+3)}$ is obtained when
the Virasoro generators are normalized in order to have a positive zero mode
spectrum for the warped black holes. The current algebra is also shown to be
centrally-extended.
|
[
{
"created": "Wed, 13 Aug 2008 22:06:56 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Sep 2008 19:36:40 GMT",
"version": "v2"
},
{
"created": "Wed, 25 Feb 2009 20:02:58 GMT",
"version": "v3"
}
] |
2009-06-19
|
[
[
"Compère",
"Geoffrey",
""
],
[
"Detournay",
"Stéphane",
""
]
] |
It is shown that the warped black holes geometries discussed recently in 0807.3040 admit an algebra of asymptotic symmetries isomorphic to the semi-direct product of a Virasoro algebra and an algebra of currents. The realization of this asymptotic symmetry by canonical charges allows one to find the central charge of the Virasoro algebra. The right-moving central charge $c_R = \frac{(5\hat{\nu}^2+3)l}{G\hat{\nu} (\hat{\nu}^2+3)}$ is obtained when the Virasoro generators are normalized in order to have a positive zero mode spectrum for the warped black holes. The current algebra is also shown to be centrally-extended.
|
1107.1776
|
Livia Ferro
|
L. Ferro
|
Yangian Symmetry in N=4 super Yang-Mills
|
23 pages, 2 figures
| null | null |
HU-EP-11/34
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we review recent results on symmetries in N=4 super Yang-Mills
theory. Symmetries are of invaluable help in studying and constraining the
scattering amplitudes, and there has been a lot of progress in recent years
concerning this topic. It has been realised that the ordinary superconformal
symmetry is not the full symmetry of this theory. There is indeed a dual
superconformal symmetry, and together they form a Yangian structure, pointing
to the underlying integrability of the theory. Here we give an overview of the
Yangian algebra and of its action on the scattering amplitudes, at tree and
loop level. This article is an invited review for the Focus Issue "Gauge/String
Duality 2011" of Advances in High Energy Physics.
|
[
{
"created": "Sat, 9 Jul 2011 12:13:21 GMT",
"version": "v1"
}
] |
2015-03-19
|
[
[
"Ferro",
"L.",
""
]
] |
In this paper we review recent results on symmetries in N=4 super Yang-Mills theory. Symmetries are of invaluable help in studying and constraining the scattering amplitudes, and there has been a lot of progress in recent years concerning this topic. It has been realised that the ordinary superconformal symmetry is not the full symmetry of this theory. There is indeed a dual superconformal symmetry, and together they form a Yangian structure, pointing to the underlying integrability of the theory. Here we give an overview of the Yangian algebra and of its action on the scattering amplitudes, at tree and loop level. This article is an invited review for the Focus Issue "Gauge/String Duality 2011" of Advances in High Energy Physics.
|
1405.3935
|
Chethan Krishnan
|
Ben Craps, Chethan Krishnan, Ayush Saurabh
|
Low Tension Strings on a Cosmological Singularity
|
17 pages, 3 figures. V2: Complete list of IR divergences, more refs,
published version. Plus one minor correction
| null |
10.1007/JHEP08(2014)065
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It has recently been argued that the singularity of the Milne orbifold can be
resolved in higher spin theories. In string theory scattering amplitudes,
however, the Milne singularity gives rise to ultraviolet divergences that
signal uncontrolled backreaction. Since string theory in the low tension limit
is expected to be a higher spin theory (although precise proposals only exist
in special cases), we investigate what happens to these scattering amplitudes
in the low tension limit. We point out that the known problematic ultraviolet
divergences disappear in this limit. In addition we systematically identify all
divergences of the simplest 2-to-2 string scattering amplitude on the Milne
orbifold, and argue that the divergences that survive in the low tension limit
have sensible infrared interpretations.
|
[
{
"created": "Thu, 15 May 2014 18:36:11 GMT",
"version": "v1"
},
{
"created": "Sun, 21 Sep 2014 09:55:41 GMT",
"version": "v2"
}
] |
2015-06-19
|
[
[
"Craps",
"Ben",
""
],
[
"Krishnan",
"Chethan",
""
],
[
"Saurabh",
"Ayush",
""
]
] |
It has recently been argued that the singularity of the Milne orbifold can be resolved in higher spin theories. In string theory scattering amplitudes, however, the Milne singularity gives rise to ultraviolet divergences that signal uncontrolled backreaction. Since string theory in the low tension limit is expected to be a higher spin theory (although precise proposals only exist in special cases), we investigate what happens to these scattering amplitudes in the low tension limit. We point out that the known problematic ultraviolet divergences disappear in this limit. In addition we systematically identify all divergences of the simplest 2-to-2 string scattering amplitude on the Milne orbifold, and argue that the divergences that survive in the low tension limit have sensible infrared interpretations.
|
1707.06693
|
Edvard Musaev
|
Olaf Hohm, Edvard T. Musaev, Henning Samtleben
|
O(d+1,d+1) enhanced double field theory
|
33 pages plus Appendix
|
H. J. High Energ. Phys. (2017) 2017: 86
|
10.1007/JHEP10(2017)086
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Double field theory yields a formulation of the low-energy effective action
of bosonic string theory and half-maximal supergravities that is covariant
under the T-duality group O$(d,d)$ emerging on a torus $T^d$. Upon reduction to
three spacetime dimensions and dualisation of vector fields into scalars, the
symmetry group is enhanced to O$(d+1,d+1)$. We construct an enhanced double
field theory with internal coordinates in the adjoint representation of
O$(d+1,d+1)$. Its section constraints admit two inequivalent solutions,
encoding in particular the embedding of $D=6$ chiral and non-chiral theories,
respectively. As an application we define consistent generalized Scherk-Schwarz
reductions using a novel notion of generalized parallelization. This allows us
to prove the consistency of the truncations of $D=6$, ${\cal N}=(1,1)$ and
$D=6$, ${\cal N}=(2,0)$ supergravity on AdS$_3\times \mathbb{S}^3$.
|
[
{
"created": "Thu, 20 Jul 2017 19:59:58 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Oct 2017 08:46:26 GMT",
"version": "v2"
}
] |
2017-10-18
|
[
[
"Hohm",
"Olaf",
""
],
[
"Musaev",
"Edvard T.",
""
],
[
"Samtleben",
"Henning",
""
]
] |
Double field theory yields a formulation of the low-energy effective action of bosonic string theory and half-maximal supergravities that is covariant under the T-duality group O$(d,d)$ emerging on a torus $T^d$. Upon reduction to three spacetime dimensions and dualisation of vector fields into scalars, the symmetry group is enhanced to O$(d+1,d+1)$. We construct an enhanced double field theory with internal coordinates in the adjoint representation of O$(d+1,d+1)$. Its section constraints admit two inequivalent solutions, encoding in particular the embedding of $D=6$ chiral and non-chiral theories, respectively. As an application we define consistent generalized Scherk-Schwarz reductions using a novel notion of generalized parallelization. This allows us to prove the consistency of the truncations of $D=6$, ${\cal N}=(1,1)$ and $D=6$, ${\cal N}=(2,0)$ supergravity on AdS$_3\times \mathbb{S}^3$.
|
0804.2697
|
Rahmi Gueven
|
R. Gueven
|
The Conformal Penrose Limit: Back to Square One
|
16 pages, LaTeX
| null |
10.1088/0264-9381/25/16/165006
| null |
hep-th gr-qc math.DG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the conformal Penrose limit is an ordinary plane wave limit in a
higher dimensional framework which resolves the spacetime singularity. The
higher dimensional framework is provided by Ricci-flat manifolds which are of
the form M_D = M_d x B, where M_d is an Einstein spacetime that has a negative
cosmological constant and admits a spacelike conformal Killing vector, and B is
a complete Sasaki-Einstein space with constant sectional curvature. We define
the Kaluza-Klein metric of M_D through the conformal Killing potential of M_d
and prove that M_d has a conformal Penrose limit if and only if M_D has an
ordinary plane wave limit. Further properties of the limit are discussed.
|
[
{
"created": "Wed, 16 Apr 2008 22:45:10 GMT",
"version": "v1"
}
] |
2009-11-13
|
[
[
"Gueven",
"R.",
""
]
] |
We show that the conformal Penrose limit is an ordinary plane wave limit in a higher dimensional framework which resolves the spacetime singularity. The higher dimensional framework is provided by Ricci-flat manifolds which are of the form M_D = M_d x B, where M_d is an Einstein spacetime that has a negative cosmological constant and admits a spacelike conformal Killing vector, and B is a complete Sasaki-Einstein space with constant sectional curvature. We define the Kaluza-Klein metric of M_D through the conformal Killing potential of M_d and prove that M_d has a conformal Penrose limit if and only if M_D has an ordinary plane wave limit. Further properties of the limit are discussed.
|
hep-th/9109018
| null |
J. Ambjorn, C.V. Johnson and T.R.Morris
|
Stochastic Quantization vs. KdV Flows in 2D Quantum Gravity
|
17 pages
|
Nucl.Phys. B374 (1992) 496-510
|
10.1016/0550-3213(92)90398-U
| null |
hep-th
| null |
We consider the stochastic quantization scheme for a non-perturbative
stabilization of 2D quantum gravity and prove that it does not satisfy the KdV
flow equations. It therefore differs from a recently suggested matrix model
which allows real solutions to the KdV equations. The behaviour of the Fermi
energy, the free energy and macroscopic loops in the stochastic quantization
scheme are elucidated.
|
[
{
"created": "Wed, 11 Sep 1991 16:52:39 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Sep 1991 10:05:39 GMT",
"version": "v2"
}
] |
2009-10-22
|
[
[
"Ambjorn",
"J.",
""
],
[
"Johnson",
"C. V.",
""
],
[
"Morris",
"T. R.",
""
]
] |
We consider the stochastic quantization scheme for a non-perturbative stabilization of 2D quantum gravity and prove that it does not satisfy the KdV flow equations. It therefore differs from a recently suggested matrix model which allows real solutions to the KdV equations. The behaviour of the Fermi energy, the free energy and macroscopic loops in the stochastic quantization scheme are elucidated.
|
0705.2939
|
Angelos Fotopoulos
|
A. Fotopoulos and M. Tsulaia
|
Interacting Higher Spins and the High Energy Limit of the Bosonic String
|
Published Version; typos corrected, references added; (v3) Some typos
corrected and a minor clarification about eq. (3.29)
|
Phys.Rev.D76:025014,2007
|
10.1103/PhysRevD.76.025014
|
DFTT-8/2007
|
hep-th
| null |
In this note, we construct a BRST invariant cubic vertex for massless fields
of arbitrary mixed symmetry in flat space-time. The construction is based on
the vertex given in bosonic Open String Field Theory. The algebra of gauge
transformations is closed without any additional, higher than cubic, couplings
due to the presence of an infinite tower of massless fields. We briefly discuss
the generalization of this result to a curved space-time and other possible
implications.
|
[
{
"created": "Mon, 21 May 2007 09:35:55 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Jul 2007 12:29:40 GMT",
"version": "v2"
},
{
"created": "Wed, 14 May 2008 14:46:18 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Fotopoulos",
"A.",
""
],
[
"Tsulaia",
"M.",
""
]
] |
In this note, we construct a BRST invariant cubic vertex for massless fields of arbitrary mixed symmetry in flat space-time. The construction is based on the vertex given in bosonic Open String Field Theory. The algebra of gauge transformations is closed without any additional, higher than cubic, couplings due to the presence of an infinite tower of massless fields. We briefly discuss the generalization of this result to a curved space-time and other possible implications.
|
1901.00515
|
Draper Patrick
|
Patrick Draper and Szilard Farkas
|
Gravitational Instabilities and Censorship of Large Scalar Field
Excursions
|
24 pages
| null |
10.1007/JHEP05(2019)158
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Large, localized variations of light scalar fields tend to collapse into
black holes, dynamically "censoring" distant points in field space. We show
that in some cases, large scalar excursions in asymptotically flat spacetimes
can be UV-completed by smooth Kaluza-Klein bubble geometries, appearing to
circumvent 4d censorship arguments. However, these spacetimes also exhibit
classical instabilities related to the collapse or expansion of a bubble of
nothing, providing a different censorship mechanism. We show that the Kerr
family of static KK bubbles, which gives rise to an infinite scalar excursion
upon dimensional reduction, is classically unstable. We construct a family of
initial data in which the static bubbles sit at a local maximum of the energy,
and we give a general argument that such a property indeed indicates mechanical
instability in gravity. We also discuss the behavior of wound strings near a
bubble, a local probe of the large traversal through moduli space.
|
[
{
"created": "Wed, 2 Jan 2019 20:10:32 GMT",
"version": "v1"
}
] |
2019-06-26
|
[
[
"Draper",
"Patrick",
""
],
[
"Farkas",
"Szilard",
""
]
] |
Large, localized variations of light scalar fields tend to collapse into black holes, dynamically "censoring" distant points in field space. We show that in some cases, large scalar excursions in asymptotically flat spacetimes can be UV-completed by smooth Kaluza-Klein bubble geometries, appearing to circumvent 4d censorship arguments. However, these spacetimes also exhibit classical instabilities related to the collapse or expansion of a bubble of nothing, providing a different censorship mechanism. We show that the Kerr family of static KK bubbles, which gives rise to an infinite scalar excursion upon dimensional reduction, is classically unstable. We construct a family of initial data in which the static bubbles sit at a local maximum of the energy, and we give a general argument that such a property indeed indicates mechanical instability in gravity. We also discuss the behavior of wound strings near a bubble, a local probe of the large traversal through moduli space.
|
2102.01898
|
Run-Qiu Yang
|
Run-Qiu Yang
|
Gravity dualities of quantum distances
|
1 figure, 11 pages
| null |
10.1007/JHEP08(2021)156
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
By choosing modular ground state as the reference state, this paper finds
that three most frequently-used distances and a quantum quasi-distance, i.e.
the trace distance, Fubini-Study distance, Bures distance and R\'{e}nyi
relative entropy, all have gravity dualities. Their gravity dualities have two
equivalent descriptions: one is given by the integration of the area of a
cosmic brane, the other one is given by the Euclidian on-shell action of dual
theory and the area of the cosmic brane. It then applies these dualities into
the 2-dimensional conformal field theory as examples and finds the results
match with the computations of field theory exactly.
|
[
{
"created": "Wed, 3 Feb 2021 06:32:39 GMT",
"version": "v1"
}
] |
2021-09-15
|
[
[
"Yang",
"Run-Qiu",
""
]
] |
By choosing modular ground state as the reference state, this paper finds that three most frequently-used distances and a quantum quasi-distance, i.e. the trace distance, Fubini-Study distance, Bures distance and R\'{e}nyi relative entropy, all have gravity dualities. Their gravity dualities have two equivalent descriptions: one is given by the integration of the area of a cosmic brane, the other one is given by the Euclidian on-shell action of dual theory and the area of the cosmic brane. It then applies these dualities into the 2-dimensional conformal field theory as examples and finds the results match with the computations of field theory exactly.
|
hep-th/9602147
| null |
S. Hosono and B.H. Lian
|
GKZ Hypergeometric Systems and Applications to Mirror Symmetry
|
10 pages, uses sprocl.sty
| null | null | null |
hep-th
| null |
We analyze GKZ(Gel'fand, Kapranov and Zelevinski) hypergeometric systems and
apply them to study the quantum cohomology rings of Calabi-Yau manifolds. We
will relate properties of the local solutions near the large radius limit to
the intersection rings of a toric variety and of a Calabi-Yau hypersurface.
(Talk presented at "Frontiers in Quantum Field Theory", Osaka, Japan, Dec.1995)
|
[
{
"created": "Tue, 27 Feb 1996 09:39:57 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Hosono",
"S.",
""
],
[
"Lian",
"B. H.",
""
]
] |
We analyze GKZ(Gel'fand, Kapranov and Zelevinski) hypergeometric systems and apply them to study the quantum cohomology rings of Calabi-Yau manifolds. We will relate properties of the local solutions near the large radius limit to the intersection rings of a toric variety and of a Calabi-Yau hypersurface. (Talk presented at "Frontiers in Quantum Field Theory", Osaka, Japan, Dec.1995)
|
2403.06509
|
Matteo Beccaria
|
Matteo Beccaria, Alejandro Cabo-Bizet
|
Giant graviton expansion of Schur index and quasimodular forms
|
34 pages. v2: minor changes
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The flavored superconformal Schur index of $\mathcal N=4$ $U(N)$ SYM has
finite $N$ corrections encoded in its giant graviton expansion in terms of D3
branes wrapped in $AdS_{5}\times S^{5}$. The key element of this decomposition
is the non-trivial index of the theory living on the wrapped brane system. A
remarkable feature of the Schur limit is that the brane index is an analytic
continuation of the flavored index of $\mathcal N=4$ $U(n)$ SYM, where $n$ is
the total brane wrapping number. We exploit recent exact results about the
Schur index of $\mathcal N=4$ $U(N)$ SYM to evaluate the closed form of the the
brane indices appearing in the giant graviton expansion. Away from the
unflavored limit, they are characterized by quasimodular forms providing exact
information at all orders in the index universal fugacity. As an application of
these results, we present novel exact expressions for the giant graviton
expansion of the unflavored Schur index in a class of four dimensional
$\mathcal N=2$ theories with equal central charges $a=c$, i.e. the
non-Lagrangian theories $\widehat{\Gamma}(SU(N))$ with $\Gamma = E_{6}, E_{7},
E_{8}$.
|
[
{
"created": "Mon, 11 Mar 2024 08:36:03 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Mar 2024 14:09:09 GMT",
"version": "v2"
}
] |
2024-03-19
|
[
[
"Beccaria",
"Matteo",
""
],
[
"Cabo-Bizet",
"Alejandro",
""
]
] |
The flavored superconformal Schur index of $\mathcal N=4$ $U(N)$ SYM has finite $N$ corrections encoded in its giant graviton expansion in terms of D3 branes wrapped in $AdS_{5}\times S^{5}$. The key element of this decomposition is the non-trivial index of the theory living on the wrapped brane system. A remarkable feature of the Schur limit is that the brane index is an analytic continuation of the flavored index of $\mathcal N=4$ $U(n)$ SYM, where $n$ is the total brane wrapping number. We exploit recent exact results about the Schur index of $\mathcal N=4$ $U(N)$ SYM to evaluate the closed form of the the brane indices appearing in the giant graviton expansion. Away from the unflavored limit, they are characterized by quasimodular forms providing exact information at all orders in the index universal fugacity. As an application of these results, we present novel exact expressions for the giant graviton expansion of the unflavored Schur index in a class of four dimensional $\mathcal N=2$ theories with equal central charges $a=c$, i.e. the non-Lagrangian theories $\widehat{\Gamma}(SU(N))$ with $\Gamma = E_{6}, E_{7}, E_{8}$.
|
hep-th/0106094
|
A. Yu. Petrov
|
A. Yu. Petrov
|
Quantum superfield supersymmetry
|
150 pages, published in the Fundamental Theories of Physics book
series
| null |
10.1007/978-3-030-68136-4
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper is a collection of lecture notes on the superfield approach in
three- and four-dimensional supersymmetric quantum field theory. Many examples
of the applications of this approach to different superfield models are
considered.
|
[
{
"created": "Tue, 12 Jun 2001 16:04:08 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Mar 2021 16:46:53 GMT",
"version": "v10"
},
{
"created": "Wed, 9 Feb 2005 12:48:34 GMT",
"version": "v2"
},
{
"created": "Tue, 17 Jan 2012 12:16:13 GMT",
"version": "v3"
},
{
"created": "Tue, 16 Jul 2013 15:07:20 GMT",
"version": "v4"
},
{
"created": "Sat, 7 Dec 2013 13:00:41 GMT",
"version": "v5"
},
{
"created": "Sun, 6 Jul 2014 13:09:04 GMT",
"version": "v6"
},
{
"created": "Fri, 7 Nov 2014 18:08:58 GMT",
"version": "v7"
},
{
"created": "Wed, 24 Jun 2015 13:02:09 GMT",
"version": "v8"
},
{
"created": "Wed, 26 Oct 2016 12:10:51 GMT",
"version": "v9"
}
] |
2021-03-02
|
[
[
"Petrov",
"A. Yu.",
""
]
] |
This paper is a collection of lecture notes on the superfield approach in three- and four-dimensional supersymmetric quantum field theory. Many examples of the applications of this approach to different superfield models are considered.
|
0710.3886
|
Predrag Dominis Prester
|
Maro Cvitan, Predrag Dominis Prester and Andrej Ficnar
|
alpha'^2-corrections to extremal dyonic black holes in heterotic string
theory
|
21 pages; v2: references added; v3: claims on contributions from
alpha'^2 part of the action made precise and proved in new Appendix C,
version published in JHEP
|
JHEP 0805:063,2008
|
10.1088/1126-6708/2008/05/063
| null |
hep-th
| null |
We calculate alpha'^2-corrections to the entropy of the 5-dimensional
3-charge and the 4-dimensional 4-charge large extremal black holes using the
low energy effective action of the heterotic string theory. In the
4-dimensional case, our results are in agreement with the microscopic
statistical entropy both for the BPS and the non-BPS black holes. In the more
interesting 5-dimensional case, where the direct microscopic stringy
description is still unknown, our results for the BPS black holes are in
agreement with the results obtained from the action supplemented with
R^2-correction obtained by supersymmetric completion of the gravitational
Chern-Simons term. This agreement does not extend to the non-BPS black holes,
for which we propose a different expression for the entropy. We show that the
new expression is supported by certain alpha'^3-order calculations, and by the
arguments based on the AdS/CFT correspondence.
|
[
{
"created": "Sat, 20 Oct 2007 22:38:29 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Oct 2007 16:23:00 GMT",
"version": "v2"
},
{
"created": "Wed, 21 May 2008 16:49:08 GMT",
"version": "v3"
}
] |
2009-05-20
|
[
[
"Cvitan",
"Maro",
""
],
[
"Prester",
"Predrag Dominis",
""
],
[
"Ficnar",
"Andrej",
""
]
] |
We calculate alpha'^2-corrections to the entropy of the 5-dimensional 3-charge and the 4-dimensional 4-charge large extremal black holes using the low energy effective action of the heterotic string theory. In the 4-dimensional case, our results are in agreement with the microscopic statistical entropy both for the BPS and the non-BPS black holes. In the more interesting 5-dimensional case, where the direct microscopic stringy description is still unknown, our results for the BPS black holes are in agreement with the results obtained from the action supplemented with R^2-correction obtained by supersymmetric completion of the gravitational Chern-Simons term. This agreement does not extend to the non-BPS black holes, for which we propose a different expression for the entropy. We show that the new expression is supported by certain alpha'^3-order calculations, and by the arguments based on the AdS/CFT correspondence.
|
1108.3786
|
Eugenio R. Bezerra de Mello
|
E. R. Figueiredo Medeiros and E. R. Bezerra de Mello
|
Relativistic quantum dynamics of a charged particle in cosmic string
spacetime in the presence of magnetic field and scalar potential
|
New version with 20 pages and no figure. Some minor revisions and six
references added. Accepted for publication in EJPC
|
Eur. Phys. J. C 72 (2012) 2051
|
10.1140/epjc/s10052-012-2051-9
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we analyze the relativistic quantum motion of charged spin-0
and spin-1/2 particles in the presence of a uniform magnetic field and scalar
potentials in the cosmic string spacetime. In order to develop this analysis,
we assume that the magnetic field is parallel to the string and the scalar
potentials present a cylindrical symmetry with their center on the string. Two
distinct configurations for the scalar potential, $S(r)$, are considered: $(i)$
the potential proportional to the inverse of the polar distance, i.e.,
$S\propto1/r$, and $(ii)$ the potential proportional to this distance, i.e.,
$S\propto r$. The energy spectra are explicitly computed for different physical
situations and presented their dependences on the magnetic field strength and
scalar coupling constants.
|
[
{
"created": "Thu, 18 Aug 2011 16:16:01 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Jun 2012 16:35:01 GMT",
"version": "v2"
}
] |
2021-04-12
|
[
[
"Medeiros",
"E. R. Figueiredo",
""
],
[
"de Mello",
"E. R. Bezerra",
""
]
] |
In this paper we analyze the relativistic quantum motion of charged spin-0 and spin-1/2 particles in the presence of a uniform magnetic field and scalar potentials in the cosmic string spacetime. In order to develop this analysis, we assume that the magnetic field is parallel to the string and the scalar potentials present a cylindrical symmetry with their center on the string. Two distinct configurations for the scalar potential, $S(r)$, are considered: $(i)$ the potential proportional to the inverse of the polar distance, i.e., $S\propto1/r$, and $(ii)$ the potential proportional to this distance, i.e., $S\propto r$. The energy spectra are explicitly computed for different physical situations and presented their dependences on the magnetic field strength and scalar coupling constants.
|
1504.00149
|
Kanghoon Lee
|
Kanghoon Lee
|
Quadratic $\alpha'$-Corrections to Heterotic Double Field Theory
|
30 pages; references added, summary and text improved, published
version
|
Nucl.Phys. B899 (2015) 594-616
|
10.1016/j.nuclphysb.2015.08.013
|
Q15001
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate $\alpha'$-corrections of heterotic double field theory up to
quadratic order in the language of supersymmetric O(D,D+dim G) gauged double
field theory. After introducing double-vielbein formalism with a
parametrization which reproduces heterotic supergravity, we show that
supersymmetry for heterotic double field theory up to leading order
$\alpha'$-correction is obtained from supersymmetric gauged double field
theory. We discuss the necessary modifications of the symmetries defined in
supersymmetric gauged double field theory. Further, we construct supersymmetric
completion at quadratic order in $\alpha'$.
|
[
{
"created": "Wed, 1 Apr 2015 08:55:00 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Oct 2015 06:12:20 GMT",
"version": "v2"
}
] |
2015-10-26
|
[
[
"Lee",
"Kanghoon",
""
]
] |
We investigate $\alpha'$-corrections of heterotic double field theory up to quadratic order in the language of supersymmetric O(D,D+dim G) gauged double field theory. After introducing double-vielbein formalism with a parametrization which reproduces heterotic supergravity, we show that supersymmetry for heterotic double field theory up to leading order $\alpha'$-correction is obtained from supersymmetric gauged double field theory. We discuss the necessary modifications of the symmetries defined in supersymmetric gauged double field theory. Further, we construct supersymmetric completion at quadratic order in $\alpha'$.
|
hep-th/0507145
|
Alexandre Kisselev
|
A.V. Kisselev (IHEP)
|
Virtual gravitons and brane field scattering in the RS model with a
small curvature
|
18 pages
|
Phys.Rev. D73 (2006) 024007
|
10.1103/PhysRevD.73.024007
| null |
hep-th hep-ph
| null |
The contribution of virtual s-channel Kaluza-Klein (KK) gravitons to high
energy scattering of the SM fields in the Randall-Sundrum (RS) model with two
branes is studied. The small curvature option of the RS model is considered in
which the KK gravitons are narrow low-mass spin-2 resonances. The analytical
tree-level expression for a process-independent gravity part of the scattering
amplitude is derived, accounting for nonzero graviton widths. It is shown that
one cannot get a correct result, if a series of graviton resonances is replaced
by a continuous mass distribution, in spite of the small graviton mass
splitting. Such a replacement appeared to be justified only in the
trans-Planckian energy region.
|
[
{
"created": "Thu, 14 Jul 2005 18:20:21 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Jul 2005 07:06:43 GMT",
"version": "v2"
}
] |
2013-05-29
|
[
[
"Kisselev",
"A. V.",
"",
"IHEP"
]
] |
The contribution of virtual s-channel Kaluza-Klein (KK) gravitons to high energy scattering of the SM fields in the Randall-Sundrum (RS) model with two branes is studied. The small curvature option of the RS model is considered in which the KK gravitons are narrow low-mass spin-2 resonances. The analytical tree-level expression for a process-independent gravity part of the scattering amplitude is derived, accounting for nonzero graviton widths. It is shown that one cannot get a correct result, if a series of graviton resonances is replaced by a continuous mass distribution, in spite of the small graviton mass splitting. Such a replacement appeared to be justified only in the trans-Planckian energy region.
|
1102.4957
|
Simone Zonetti
|
Jan Govaerts and Simone Zonetti
|
Quantized cosmological constant in 1+1 dimensional quantum gravity with
coupled scalar matter
|
23 pages
|
Class. Quantum Grav. 28 185001 (2011)
|
10.1088/0264-9381/28/18/185001
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A two dimensional matter coupled model of quantum gravity is studied in the
Dirac approach to constrained dynamics in the presence of a cosmological
constant. It is shown that after partial fixing to the conformal gauge the
requirement of a quantum realization of the conformal algebra for physical
quantum states of the fields naturally constrains the cosmological constant to
take values in a well determined and mostly discrete spectrum. Furthermore the
contribution of the quantum fluctuations of the single dynamical degree of
freedom in the gravitational sector, namely the conformal mode, to the
cosmological constant is negative, in contrast to the positive contributions of
the quantum fluctuations of the matter fields, possibly opening an avenue
towards addressing the cosmological constant problem in a more general context.
|
[
{
"created": "Thu, 24 Feb 2011 10:58:20 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Aug 2011 07:43:15 GMT",
"version": "v2"
}
] |
2011-08-29
|
[
[
"Govaerts",
"Jan",
""
],
[
"Zonetti",
"Simone",
""
]
] |
A two dimensional matter coupled model of quantum gravity is studied in the Dirac approach to constrained dynamics in the presence of a cosmological constant. It is shown that after partial fixing to the conformal gauge the requirement of a quantum realization of the conformal algebra for physical quantum states of the fields naturally constrains the cosmological constant to take values in a well determined and mostly discrete spectrum. Furthermore the contribution of the quantum fluctuations of the single dynamical degree of freedom in the gravitational sector, namely the conformal mode, to the cosmological constant is negative, in contrast to the positive contributions of the quantum fluctuations of the matter fields, possibly opening an avenue towards addressing the cosmological constant problem in a more general context.
|
hep-th/0102194
|
Youm Donam
|
Donam Youm
|
Variable-Speed-of-Light Cosmology from Brane World Scenario
|
18 pages, LaTeX, revised version to appear in Phys. Rev. D
|
Phys.Rev. D64 (2001) 085011
|
10.1103/PhysRevD.64.085011
|
IC/2001/9
|
hep-th astro-ph gr-qc hep-ph
| null |
We argue that the four-dimensional universe on the TeV brane of the
Randall-Sundrum scenario takes the bimetric structure of Clayton and Moffat,
with gravitons traveling faster than photons instead, while the radion varies
with time. We show that such brane world bimetric model can thereby solve the
flatness and the cosmological constant problems, provided the speed of a
graviton decreases to the present day value rapidly enough. The resolution of
other cosmological problems such as the horizon problem and the monopole
problem requires supplementation by inflation, which may be achieved by the
radion field provided the radion potential satisfies the slow-roll
approximation.
|
[
{
"created": "Tue, 27 Feb 2001 15:19:40 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Mar 2001 18:22:29 GMT",
"version": "v2"
},
{
"created": "Mon, 23 Jul 2001 09:24:14 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Youm",
"Donam",
""
]
] |
We argue that the four-dimensional universe on the TeV brane of the Randall-Sundrum scenario takes the bimetric structure of Clayton and Moffat, with gravitons traveling faster than photons instead, while the radion varies with time. We show that such brane world bimetric model can thereby solve the flatness and the cosmological constant problems, provided the speed of a graviton decreases to the present day value rapidly enough. The resolution of other cosmological problems such as the horizon problem and the monopole problem requires supplementation by inflation, which may be achieved by the radion field provided the radion potential satisfies the slow-roll approximation.
|
1810.02547
|
Volodymyr Takhistov
|
Masahiro Kawasaki, Volodymyr Takhistov
|
Primordial Black Holes and the String Swampland
|
4 pages; v2: minor modifications, added references, published version
|
Phys. Rev. D 98, 123514 (2018)
|
10.1103/PhysRevD.98.123514
|
IPMU18-0160
|
hep-th astro-ph.CO hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The "swampland conjectures" have been recently suggested as a set of criteria
to assess if effective field theories (EFTs) are consistent with a quantum
gravity embedding. Such criteria, which restrict the behavior of scalar fields
in the theory, have strong implications for cosmology in the early universe. As
we demonstrate, they will also have direct consequences for formation of
primordial black holes (PBHs) and dark matter (DM).
|
[
{
"created": "Fri, 5 Oct 2018 07:25:11 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Dec 2018 22:49:58 GMT",
"version": "v2"
}
] |
2018-12-20
|
[
[
"Kawasaki",
"Masahiro",
""
],
[
"Takhistov",
"Volodymyr",
""
]
] |
The "swampland conjectures" have been recently suggested as a set of criteria to assess if effective field theories (EFTs) are consistent with a quantum gravity embedding. Such criteria, which restrict the behavior of scalar fields in the theory, have strong implications for cosmology in the early universe. As we demonstrate, they will also have direct consequences for formation of primordial black holes (PBHs) and dark matter (DM).
|
hep-th/0102212
|
Sachindeo Vaidya
|
Sachindeo Vaidya
|
Perturbative dynamics on fuzzy S^2 and RP^2
|
14 pages, LaTex2e
|
Phys.Lett. B512 (2001) 403-411
|
10.1016/S0370-2693(01)00641-4
|
UCD-2001-02
|
hep-th
| null |
By considering scalar theories on the fuzzy sphere as matrix models, we
construct a renormalization scheme and calculate the one-loop effective action.
Because of UV-IR mixing, the two- and the four-point correlators at low energy
are not slowly varying functions of external momenta. Interestingly, we also
find that field theories on fuzzy RP^2 avoid UV-IR mixing and hence are much
more like conventional field theories. We calculate the one-loop beta-function
for the O(N) theory on fuzzy RP^2 at large N and show that in addition to the
trivial one, it has a nontrivial fixed point that is accessible in perturbation
theory.
|
[
{
"created": "Wed, 28 Feb 2001 23:07:59 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Vaidya",
"Sachindeo",
""
]
] |
By considering scalar theories on the fuzzy sphere as matrix models, we construct a renormalization scheme and calculate the one-loop effective action. Because of UV-IR mixing, the two- and the four-point correlators at low energy are not slowly varying functions of external momenta. Interestingly, we also find that field theories on fuzzy RP^2 avoid UV-IR mixing and hence are much more like conventional field theories. We calculate the one-loop beta-function for the O(N) theory on fuzzy RP^2 at large N and show that in addition to the trivial one, it has a nontrivial fixed point that is accessible in perturbation theory.
|
hep-th/0612202
|
Sanjeev S. Seahra
|
Antonio Cardoso, Kazuya Koyama, Andrew Mennim, Sanjeev S. Seahra, and
David Wands (ICG, Portsmouth)
|
Coupled bulk and brane fields about a de Sitter brane
|
16 pages, 10 figures; minor ammendments to the text, typos corrected
including a misprint in Eq. (102), reference added
|
Phys.Rev.D75:084002,2007
|
10.1103/PhysRevD.75.084002
| null |
hep-th gr-qc
| null |
We consider the evolution of a bulk scalar field in anti-de Sitter (AdS)
spacetime linearly coupled to a scalar field on a de Sitter boundary brane. We
present results of a spectral analysis of the system, and find that the model
can exhibit both bound and continuum resonant modes. We find that zero, one, or
two bound states may exist, depending upon the masses of the brane and bulk
fields relative to the Hubble length and the AdS curvature scale and the
coupling strength. In all cases, we find a critical coupling above which there
exists a tachyonic bound state. We show how the 5-dimensional spectral results
can be interpreted in terms of a 4-dimensional effective theory for the bound
states. We find excellent agreement between our analytic results and the
results of a new numerical code developed to model the evolution of bulk fields
coupled to degrees of freedom on a moving brane. This code can be used to model
the behaviour of braneworld cosmological perturbations in scenarios for which
no analytic results are known.
|
[
{
"created": "Tue, 19 Dec 2006 13:02:27 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Mar 2007 13:18:14 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Cardoso",
"Antonio",
"",
"ICG, Portsmouth"
],
[
"Koyama",
"Kazuya",
"",
"ICG, Portsmouth"
],
[
"Mennim",
"Andrew",
"",
"ICG, Portsmouth"
],
[
"Seahra",
"Sanjeev S.",
"",
"ICG, Portsmouth"
],
[
"Wands",
"David",
"",
"ICG, Portsmouth"
]
] |
We consider the evolution of a bulk scalar field in anti-de Sitter (AdS) spacetime linearly coupled to a scalar field on a de Sitter boundary brane. We present results of a spectral analysis of the system, and find that the model can exhibit both bound and continuum resonant modes. We find that zero, one, or two bound states may exist, depending upon the masses of the brane and bulk fields relative to the Hubble length and the AdS curvature scale and the coupling strength. In all cases, we find a critical coupling above which there exists a tachyonic bound state. We show how the 5-dimensional spectral results can be interpreted in terms of a 4-dimensional effective theory for the bound states. We find excellent agreement between our analytic results and the results of a new numerical code developed to model the evolution of bulk fields coupled to degrees of freedom on a moving brane. This code can be used to model the behaviour of braneworld cosmological perturbations in scenarios for which no analytic results are known.
|
hep-th/9212139
|
E. Elizalde
|
E. Elizalde, S. Naftulin and S.D. Odintsov
|
One Loop Counterterms in 2D Dilaton-Maxwell Quantum Gravity
|
9 pages, LaTeX file, HUPD-92-19
|
Z.Phys.C59:617-620,1993
|
10.1007/BF01562553
| null |
hep-th
| null |
The renormalization structure of two-dimensional quantum gravity is
investigated, in a covariant gauge. One-loop divergences of the effective
action are calculated. All the surface divergent terms are taken into account,
thus completing previous one-loop calculations of the theory. It is shown that
the on-shell effective action contains only surface divergences. The off-shell
renormalizability of the theory is discussed and classes of renormalizable
dilaton and Maxwell potentials are found.
|
[
{
"created": "Wed, 23 Dec 1992 10:35:06 GMT",
"version": "v1"
}
] |
2009-09-17
|
[
[
"Elizalde",
"E.",
""
],
[
"Naftulin",
"S.",
""
],
[
"Odintsov",
"S. D.",
""
]
] |
The renormalization structure of two-dimensional quantum gravity is investigated, in a covariant gauge. One-loop divergences of the effective action are calculated. All the surface divergent terms are taken into account, thus completing previous one-loop calculations of the theory. It is shown that the on-shell effective action contains only surface divergences. The off-shell renormalizability of the theory is discussed and classes of renormalizable dilaton and Maxwell potentials are found.
|
0804.0804
|
Meng-Chwan Tan
|
Meng-Chwan Tan
|
Gauging Spacetime Symmetries On The Worldsheet And The Geometric
Langlands Program -- II
|
47 pages. Typos corrected. Published version
|
JHEP 0809:074,2008
|
10.1088/1126-6708/2008/09/074
| null |
hep-th math.AG math.QA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We generalise the analysis carried out in [arXiv:0710.5796], and find that
our previous results can be extended beyond the case of SL(N,C). In particular,
we show that an equivalence--at the level of the holomorphic chiral
algebra--between a bosonic string on a smooth coset manifold G/B and a B-gauged
version of itself on G, will imply an isomorphism of classical W-algebras and a
level relation which underlie a geometric Langlands correspondence for the
simply-laced, complex ADE-groups. In addition, as opposed to line operators and
branes of an open topological sigma-model, the Hecke operators and Hecke
eigensheaves, can, instead, be physically interpreted in terms of the
correlation functions of local operators in the holomorphic chiral algebra of a
closed, quasi-topological sigma-model. Our present results thus serve as an
alternative physical interpretation--to that of an electric-magnetic duality of
four-dimensional gauge theory demonstrated earlier by Kapustin and Witten in
[arXiv:hep-th/0604151]--of the geometric Langlands correspondence for complex
ADE-groups. The cases with tame and mild "ramifications" are also discussed.
|
[
{
"created": "Fri, 4 Apr 2008 20:04:35 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Sep 2008 17:21:08 GMT",
"version": "v2"
}
] |
2009-12-04
|
[
[
"Tan",
"Meng-Chwan",
""
]
] |
We generalise the analysis carried out in [arXiv:0710.5796], and find that our previous results can be extended beyond the case of SL(N,C). In particular, we show that an equivalence--at the level of the holomorphic chiral algebra--between a bosonic string on a smooth coset manifold G/B and a B-gauged version of itself on G, will imply an isomorphism of classical W-algebras and a level relation which underlie a geometric Langlands correspondence for the simply-laced, complex ADE-groups. In addition, as opposed to line operators and branes of an open topological sigma-model, the Hecke operators and Hecke eigensheaves, can, instead, be physically interpreted in terms of the correlation functions of local operators in the holomorphic chiral algebra of a closed, quasi-topological sigma-model. Our present results thus serve as an alternative physical interpretation--to that of an electric-magnetic duality of four-dimensional gauge theory demonstrated earlier by Kapustin and Witten in [arXiv:hep-th/0604151]--of the geometric Langlands correspondence for complex ADE-groups. The cases with tame and mild "ramifications" are also discussed.
|
hep-th/0106268
|
Valentina Riva
|
Valentina Riva
|
Boundary effects in two-dimensional critical and off-critical systems
|
121 pages, LATEX file, degree thesis
| null | null | null |
hep-th
| null |
Critical systems are described by conformal field theories, whose dynamics
can be exactly solved in two dimensions. In the presence of a boundary, with
the so-called method of images it is possible to study the surface critical
behaviour of these systems, and the conformal boundary conditions can be
related to the bulk operator content of the theory. After an overview of the
basic concepts of bulk and boundary conformal field theory, we present an
explicit calculation of some two-point correlation functions in Virasoro
minimal models with boundary. In the second part of the thesis, we summarize
the known results about perturbed conformal field theories, which describe the
dynamics of systems away from the critical point. We concentrate on cases in
which the off-critical massive field theory is integrable, with a corresponding
purely elastic and factorized scattering theory, focusing our attention on the
bootstrap approach. We also present the basic properties of affine Toda field
theories, whose S-matrices are closely related to the ones of some perturbed
minimal models. In the presence of a boundary, assuming that the boundary
conditions are compatible with integrability, the scattering theory is still
elastic and factorized. The analytic structure of the reflection matrix encodes
the boundary spectrum of the theory, in the light of a bootstrap approach
analogous to the bulk one. Starting from two kinds of known reflection
amplitudes, we have performed a detailed study of the boundary bound states
structure for the three E_{n} affine Toda field theories and for the
corresponding perturbed minimal models.
|
[
{
"created": "Thu, 28 Jun 2001 12:10:06 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Riva",
"Valentina",
""
]
] |
Critical systems are described by conformal field theories, whose dynamics can be exactly solved in two dimensions. In the presence of a boundary, with the so-called method of images it is possible to study the surface critical behaviour of these systems, and the conformal boundary conditions can be related to the bulk operator content of the theory. After an overview of the basic concepts of bulk and boundary conformal field theory, we present an explicit calculation of some two-point correlation functions in Virasoro minimal models with boundary. In the second part of the thesis, we summarize the known results about perturbed conformal field theories, which describe the dynamics of systems away from the critical point. We concentrate on cases in which the off-critical massive field theory is integrable, with a corresponding purely elastic and factorized scattering theory, focusing our attention on the bootstrap approach. We also present the basic properties of affine Toda field theories, whose S-matrices are closely related to the ones of some perturbed minimal models. In the presence of a boundary, assuming that the boundary conditions are compatible with integrability, the scattering theory is still elastic and factorized. The analytic structure of the reflection matrix encodes the boundary spectrum of the theory, in the light of a bootstrap approach analogous to the bulk one. Starting from two kinds of known reflection amplitudes, we have performed a detailed study of the boundary bound states structure for the three E_{n} affine Toda field theories and for the corresponding perturbed minimal models.
|
0911.3793
|
Kirill Krasnov
|
Alexander Torres-Gomez, Kirill Krasnov
|
Gravity-Yang-Mills-Higgs unification by enlarging the gauge group
|
61 pages, no figures (v2) some typos corrected
|
Phys.Rev.D81:085003,2010
|
10.1103/PhysRevD.81.085003
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We revisit an old idea that gravity can be unified with Yang-Mills theory by
enlarging the gauge group of gravity formulated as gauge theory. Our starting
point is an action that describes a generally covariant gauge theory for a
group G. The Minkowski background breaks the gauge group by selecting in it a
preferred gravitational SU(2) subgroup. We expand the action around this
background and find the spectrum of linearized theory to consist of the usual
gravitons plus Yang-Mills fields charged under the centralizer of the SU(2) in
G. In addition, there is a set of Higgs fields that are charged both under the
gravitational and Yang-Mills subgroups. These fields are generically massive
and interact with both gravity and Yang-Mills sector in the standard way. The
arising interaction of the Yang-Mills sector with gravity is also standard.
Parameters such as the Yang-Mills coupling constant and Higgs mass arise from
the potential function defining the theory. Both are realistic in the sense
explained in the paper.
|
[
{
"created": "Thu, 19 Nov 2009 13:31:13 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Dec 2009 23:44:28 GMT",
"version": "v2"
}
] |
2010-04-14
|
[
[
"Torres-Gomez",
"Alexander",
""
],
[
"Krasnov",
"Kirill",
""
]
] |
We revisit an old idea that gravity can be unified with Yang-Mills theory by enlarging the gauge group of gravity formulated as gauge theory. Our starting point is an action that describes a generally covariant gauge theory for a group G. The Minkowski background breaks the gauge group by selecting in it a preferred gravitational SU(2) subgroup. We expand the action around this background and find the spectrum of linearized theory to consist of the usual gravitons plus Yang-Mills fields charged under the centralizer of the SU(2) in G. In addition, there is a set of Higgs fields that are charged both under the gravitational and Yang-Mills subgroups. These fields are generically massive and interact with both gravity and Yang-Mills sector in the standard way. The arising interaction of the Yang-Mills sector with gravity is also standard. Parameters such as the Yang-Mills coupling constant and Higgs mass arise from the potential function defining the theory. Both are realistic in the sense explained in the paper.
|
1603.09317
|
Niko Jokela
|
Matthias Ihl, Niko Jokela, Tobias Zingg
|
Holographic anyonization: A systematic approach
|
18 pages, 1 diagram; v2: typos fixed, ref. added, a new formula added
highlighting the modular property of the transformed Green's functions;
published version
| null |
10.1007/JHEP06(2016)076
|
HIP-2016-13/TH
|
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Anyons have garnered substantial interest theoretically as well as
experimentally. Due to the intricate nature of their interactions, however,
even basic notions such as the equation of state for any kind of anyon gas have
eluded a profound understanding so far. Using holography as a guiding
principle, we propose a general method for an alternative quantization of
electromagnetic degrees of freedom in the gravitational dual to obtain an
effective physical description of strongly correlated anyonic systems. We then
demonstrate the application of this prescription in a toy model of an anyonic
fluid at finite charge density and magnetic field, dual to a dyonic black brane
in AdS_4, and compute the equation of state and various transport coefficients
explicitly.
|
[
{
"created": "Wed, 30 Mar 2016 19:26:27 GMT",
"version": "v1"
},
{
"created": "Sun, 3 Jul 2016 20:16:42 GMT",
"version": "v2"
}
] |
2016-07-05
|
[
[
"Ihl",
"Matthias",
""
],
[
"Jokela",
"Niko",
""
],
[
"Zingg",
"Tobias",
""
]
] |
Anyons have garnered substantial interest theoretically as well as experimentally. Due to the intricate nature of their interactions, however, even basic notions such as the equation of state for any kind of anyon gas have eluded a profound understanding so far. Using holography as a guiding principle, we propose a general method for an alternative quantization of electromagnetic degrees of freedom in the gravitational dual to obtain an effective physical description of strongly correlated anyonic systems. We then demonstrate the application of this prescription in a toy model of an anyonic fluid at finite charge density and magnetic field, dual to a dyonic black brane in AdS_4, and compute the equation of state and various transport coefficients explicitly.
|
hep-th/0311185
|
Daniel Cartin
|
Daniel Cartin
|
The Lanczos potential as a spin-2 field
|
RevTeX, 8 pages, no figures
| null | null | null |
hep-th gr-qc
| null |
The Lanczos potential $L_{abc}$ acts as a tensor potential for the spin-2
field strength $W_{abcd}$ in an role similar to that of the vector potential
$A_a$ for the Maxwell tensor $F_{ab}$. After some general considerations
inspired by the example of electromagnetism, we consider the linear spin-2
theory and a Born-Infeld type action in terms of $L_{abc}$.
|
[
{
"created": "Thu, 20 Nov 2003 14:20:25 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Cartin",
"Daniel",
""
]
] |
The Lanczos potential $L_{abc}$ acts as a tensor potential for the spin-2 field strength $W_{abcd}$ in an role similar to that of the vector potential $A_a$ for the Maxwell tensor $F_{ab}$. After some general considerations inspired by the example of electromagnetism, we consider the linear spin-2 theory and a Born-Infeld type action in terms of $L_{abc}$.
|
hep-th/0303057
|
Ashoke Sen
|
Ashoke Sen
|
Dirac-Born-Infeld Action on the Tachyon Kink and Vortex
|
LaTeX file, 34 pages; references and other minor comments added
|
Phys.Rev.D68:066008,2003
|
10.1103/PhysRevD.68.066008
|
MRI-P-030201
|
hep-th
| null |
The tachyon effective field theory describing the dynamics of a non-BPS
D-brane in superstring theory has an infinitely thin but finite tension kink
solution describing a codimension one BPS D-brane. We study the world-volume
theory of massless modes on the kink, and show that the world volume action has
precisely the Dirac-Born-Infeld (DBI) form without any higher derivative
corrections. We generalize this to a vortex solution in the effective field
theory on a brane-antibrane pair. As in the case of the kink, the vortex is
infinitely thin, has finite energy density, and the world-volume action on the
vortex is again given exactly by the DBI action on a BPS D-brane. We also
discuss the coupling of fermions and restoration of supersymmetry and
$\kappa$-symmetry on the world-volume of the kink. Absence of higher derivative
corrections to the DBI action on the soliton implies that all such corrections
are related to higher derivative corrections to the original effective action
on the world-volume of a non-BPS D-brane or brane-antibrane pair.
|
[
{
"created": "Fri, 7 Mar 2003 06:34:19 GMT",
"version": "v1"
},
{
"created": "Sat, 8 Mar 2003 14:51:13 GMT",
"version": "v2"
},
{
"created": "Mon, 24 Mar 2003 09:59:11 GMT",
"version": "v3"
}
] |
2009-09-15
|
[
[
"Sen",
"Ashoke",
""
]
] |
The tachyon effective field theory describing the dynamics of a non-BPS D-brane in superstring theory has an infinitely thin but finite tension kink solution describing a codimension one BPS D-brane. We study the world-volume theory of massless modes on the kink, and show that the world volume action has precisely the Dirac-Born-Infeld (DBI) form without any higher derivative corrections. We generalize this to a vortex solution in the effective field theory on a brane-antibrane pair. As in the case of the kink, the vortex is infinitely thin, has finite energy density, and the world-volume action on the vortex is again given exactly by the DBI action on a BPS D-brane. We also discuss the coupling of fermions and restoration of supersymmetry and $\kappa$-symmetry on the world-volume of the kink. Absence of higher derivative corrections to the DBI action on the soliton implies that all such corrections are related to higher derivative corrections to the original effective action on the world-volume of a non-BPS D-brane or brane-antibrane pair.
|
hep-th/0312185
|
Michael Flohr
|
Michael Flohr, Marco Krohn
|
Operator Product Expansion and Zero Mode Structure in Logarithmic CFT
|
Contribution to the Proceedings of the 36th International Symposium
Ahrenshoop on the Theory of Elementary Particles, 7pp
|
Fortsch.Phys. 52 (2004) 503-508
|
10.1002/prop.200310137
| null |
hep-th
| null |
The generic structure of 1-, 2- and 3-point functions of fields residing in
indecomposable representations of arbitrary rank are given. These in turn
determine the structure of the operator product expansion in logarithmic
conformal field theory. The crucial role of zero modes is discussed in some
detail.
|
[
{
"created": "Tue, 16 Dec 2003 14:55:25 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Flohr",
"Michael",
""
],
[
"Krohn",
"Marco",
""
]
] |
The generic structure of 1-, 2- and 3-point functions of fields residing in indecomposable representations of arbitrary rank are given. These in turn determine the structure of the operator product expansion in logarithmic conformal field theory. The crucial role of zero modes is discussed in some detail.
|
hep-th/9907042
|
Hans Kastrup
|
M. Bojowald, H.A. Kastrup (RWTH Aachen, Germany)
|
Quantum Symmetry Reduction for Diffeomorphism Invariant Theories of
Connections
|
43 pages, Latex
|
Class.Quant.Grav. 17 (2000) 3009-3043
|
10.1088/0264-9381/17/15/311
|
PITHA 99/23
|
hep-th gr-qc
| null |
Given a symmetry group acting on a principal fibre bundle, symmetric states
of the quantum theory of a diffeomorphism invariant theory of connections on
this fibre bundle are defined. These symmetric states, equipped with a scalar
product derived from the Ashtekar-Lewandowski measure for loop quantum gravity,
form a Hilbert space of their own. Restriction to this Hilbert space yields a
quantum symmetry reduction procedure in the framework of spin network states
the structure of which is analyzed in detail. Three illustrating examples are
discussed: Reduction of 3+1 to 2+1 dimensional quantum gravity, spherically
symmetric electromagnetism and spherically symmetric gravity.
|
[
{
"created": "Wed, 7 Jul 1999 15:17:41 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Bojowald",
"M.",
"",
"RWTH Aachen, Germany"
],
[
"Kastrup",
"H. A.",
"",
"RWTH Aachen, Germany"
]
] |
Given a symmetry group acting on a principal fibre bundle, symmetric states of the quantum theory of a diffeomorphism invariant theory of connections on this fibre bundle are defined. These symmetric states, equipped with a scalar product derived from the Ashtekar-Lewandowski measure for loop quantum gravity, form a Hilbert space of their own. Restriction to this Hilbert space yields a quantum symmetry reduction procedure in the framework of spin network states the structure of which is analyzed in detail. Three illustrating examples are discussed: Reduction of 3+1 to 2+1 dimensional quantum gravity, spherically symmetric electromagnetism and spherically symmetric gravity.
|
hep-th/9902195
|
Steven Gubser
|
Mirjam Cvetic (University of Pennsylvania) and Steven S. Gubser
(Harvard)
|
Phases of R-charged Black Holes, Spinning Branes and Strongly Coupled
Gauge Theories
|
30 pages, 6 figures
|
JHEP 9904:024,1999
|
10.1088/1126-6708/1999/04/024
|
HUPT-A009, UPR-0832-T
|
hep-th
| null |
We study the thermodynamic stability of charged black holes in gauged
supergravity theories in D=5, D=4 and D=7. We find explicitly the location of
the Hawking-Page phase transition between charged black holes and the pure
anti-de Sitter space-time, both in the grand-canonical ensemble, where electric
potentials are held fixed, and in the canonical ensemble, where total charges
are held fixed. We also find the explicit local thermodynamic stability
constraints for black holes with one non-zero charge. In the grand-canonical
ensemble, there is in general a region of phase space where neither the anti-de
Sitter space-time is dynamically preferred, nor are the charged black holes
thermodynamically stable. But in the canonical ensemble, anti-de Sitter
space-time is always dynamically preferred in the domain where black holes are
unstable.
We demonstrate the equivalence of large R-charged black holes in D=5, D=4 and
D=7 with spinning near-extreme D3-, M2- and M5-branes, respectively. The mass,
the charges and the entropy of such black holes can be mapped into the energy
above extremality, the angular momenta and the entropy of the corresponding
branes. We also note a peculiar numerological sense in which the
grand-canonical stability constraints for large charge black holes in D=4 and
D=7 are dual, and in which the D=5 constraints are self-dual.
|
[
{
"created": "Thu, 25 Feb 1999 23:52:38 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Cvetic",
"Mirjam",
"",
"University of Pennsylvania"
],
[
"Gubser",
"Steven S.",
"",
"Harvard"
]
] |
We study the thermodynamic stability of charged black holes in gauged supergravity theories in D=5, D=4 and D=7. We find explicitly the location of the Hawking-Page phase transition between charged black holes and the pure anti-de Sitter space-time, both in the grand-canonical ensemble, where electric potentials are held fixed, and in the canonical ensemble, where total charges are held fixed. We also find the explicit local thermodynamic stability constraints for black holes with one non-zero charge. In the grand-canonical ensemble, there is in general a region of phase space where neither the anti-de Sitter space-time is dynamically preferred, nor are the charged black holes thermodynamically stable. But in the canonical ensemble, anti-de Sitter space-time is always dynamically preferred in the domain where black holes are unstable. We demonstrate the equivalence of large R-charged black holes in D=5, D=4 and D=7 with spinning near-extreme D3-, M2- and M5-branes, respectively. The mass, the charges and the entropy of such black holes can be mapped into the energy above extremality, the angular momenta and the entropy of the corresponding branes. We also note a peculiar numerological sense in which the grand-canonical stability constraints for large charge black holes in D=4 and D=7 are dual, and in which the D=5 constraints are self-dual.
|
1707.08624
|
Falk Hassler
|
Falk Hassler
|
Poisson-Lie T-Duality in Double Field Theory
|
5 pages, v2: typo and reference corrected
| null |
10.1016/j.physletb.2020.135455
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a formulation of Double Field Theory with a Drinfeld double as
extended spacetime. It makes Poisson-Lie T-duality (including abelian and
non-abelian T-duality as special cases) manifest. This extends the scope of
possible applications of the theory, which so far captured abelian T-duality
only, considerably. The full massless bosonic subsector (NS/NS and R/R) of type
II string theories is covered.
|
[
{
"created": "Wed, 26 Jul 2017 19:55:52 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Aug 2017 17:29:24 GMT",
"version": "v2"
}
] |
2020-06-03
|
[
[
"Hassler",
"Falk",
""
]
] |
We present a formulation of Double Field Theory with a Drinfeld double as extended spacetime. It makes Poisson-Lie T-duality (including abelian and non-abelian T-duality as special cases) manifest. This extends the scope of possible applications of the theory, which so far captured abelian T-duality only, considerably. The full massless bosonic subsector (NS/NS and R/R) of type II string theories is covered.
|
1601.03028
|
Anders Schreiber
|
Anders Schreiber
|
Chiral squaring and KLT relations
|
8 pages, 2 figures, references added
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We demonstrate that amplitudes based on matter supermultiplets can be
combined to provide amplitudes of vector supermultiplets by means of KLT
relations. In practice we do this by developing a procedure for removing
supersymmetry supercharges from super Yang-Mills theory and supergravity
supermultiplets, reducing them to vector and chiral supermultiplets
respectively. This way, we reduce the super KLT relations to chiral KLT
relations making chiral squaring of amplitudes manifest. We study these chiral
KLT relations, discussing permutation symmetry and vanishing relations. Finally
some explicit calculations are done to show how the relations work in detail.
|
[
{
"created": "Tue, 12 Jan 2016 20:47:26 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Jan 2016 16:02:26 GMT",
"version": "v2"
}
] |
2016-02-01
|
[
[
"Schreiber",
"Anders",
""
]
] |
We demonstrate that amplitudes based on matter supermultiplets can be combined to provide amplitudes of vector supermultiplets by means of KLT relations. In practice we do this by developing a procedure for removing supersymmetry supercharges from super Yang-Mills theory and supergravity supermultiplets, reducing them to vector and chiral supermultiplets respectively. This way, we reduce the super KLT relations to chiral KLT relations making chiral squaring of amplitudes manifest. We study these chiral KLT relations, discussing permutation symmetry and vanishing relations. Finally some explicit calculations are done to show how the relations work in detail.
|
hep-th/9403160
|
Kiyoshi Ezawa
|
K. Ezawa
|
Addendum to "Classical and Quantum Evolutions of the de Sitter and the
anti-de Sitter Universes in 2+1 dimensions"
|
Latex 8 pages (Crucial and essential changes have been made.)
|
Phys.Rev.D50:2935-2938,1994
|
10.1103/PhysRevD.50.2935
| null |
hep-th
| null |
The previous discussion \cite{ezawa} on reducing the phase space of the first
order Einstein gravity in 2+1 dimensions is reconsidered. We construct a \lq\lq
correct" physical phase space in the case of positive cosmological constant,
taking into account the geometrical feature of SO(3,1) connections. A
parametrization which unifies the two sectors of the physical phase space is
also given.
|
[
{
"created": "Sat, 26 Mar 1994 12:11:35 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Apr 1994 10:29:01 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Ezawa",
"K.",
""
]
] |
The previous discussion \cite{ezawa} on reducing the phase space of the first order Einstein gravity in 2+1 dimensions is reconsidered. We construct a \lq\lq correct" physical phase space in the case of positive cosmological constant, taking into account the geometrical feature of SO(3,1) connections. A parametrization which unifies the two sectors of the physical phase space is also given.
|
1005.2837
|
Derek Harland
|
Derek Harland and Alexander D. Popov
|
Yang-Mills fields in flux compactifications on homogeneous manifolds
with SU(4)-structure
|
28+1 pages, 1 figure. v2 (published version) minor corrections to
formulae and text
|
JHEP02(2012)107
|
10.1007/JHEP02(2012)107
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The SU(4)-instanton equations are natural BPS equations for instantons on
8-manifolds. We study these equations on nearly Kaehler and Calabi-Yau torsion
manifolds of the form M x G/H, with G/H a coset space and M a product of a
torus with Euclidean space. By imposing G-invariance the instanton equations
reduce to interesting equations on M; for example, equations used by Kapustin
and Witten in the geometric Langlands program arise in this way. We carry out
reductions in a number of examples, and where possible present simple
solutions.
|
[
{
"created": "Mon, 17 May 2010 08:34:12 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Feb 2012 15:45:19 GMT",
"version": "v2"
}
] |
2012-02-28
|
[
[
"Harland",
"Derek",
""
],
[
"Popov",
"Alexander D.",
""
]
] |
The SU(4)-instanton equations are natural BPS equations for instantons on 8-manifolds. We study these equations on nearly Kaehler and Calabi-Yau torsion manifolds of the form M x G/H, with G/H a coset space and M a product of a torus with Euclidean space. By imposing G-invariance the instanton equations reduce to interesting equations on M; for example, equations used by Kapustin and Witten in the geometric Langlands program arise in this way. We carry out reductions in a number of examples, and where possible present simple solutions.
|
1601.01906
|
Olaf Lechtenfeld
|
Nikolay Kozyrev, Sergey Krivonos, Olaf Lechtenfeld
|
Higher-derivative superparticle in AdS$_3$ space
|
17 pages
|
Phys. Rev. D 93, 065024 (2016)
|
10.1103/PhysRevD.93.065024
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Employing the coset approach we construct component actions for a
superparticle moving in AdS$_3$ with $N{=}(2,0)$, $D{=}3$ supersymmetry
partially broken to $N{=}2$, $d{=}1$. These actions may contain higher
time-derivative terms, which are chosen to possess the same (super)symmetries
as the free superparticle. In terms of the nonlinear-realization superfields,
the component actions always take a simpler form when written in terms of
covariant Cartan forms. We also consider in detail the reduction to the
nonrelativistic case and construct the corresponding action a Newton-Hooke
superparticle and its higher-derivative generalizations. The structure of these
higher time-derivative generalizations is completely fixed by invariance under
the supersymmetric Newton-Hooke algebra extended by two central charges.
|
[
{
"created": "Fri, 8 Jan 2016 15:31:32 GMT",
"version": "v1"
}
] |
2016-03-23
|
[
[
"Kozyrev",
"Nikolay",
""
],
[
"Krivonos",
"Sergey",
""
],
[
"Lechtenfeld",
"Olaf",
""
]
] |
Employing the coset approach we construct component actions for a superparticle moving in AdS$_3$ with $N{=}(2,0)$, $D{=}3$ supersymmetry partially broken to $N{=}2$, $d{=}1$. These actions may contain higher time-derivative terms, which are chosen to possess the same (super)symmetries as the free superparticle. In terms of the nonlinear-realization superfields, the component actions always take a simpler form when written in terms of covariant Cartan forms. We also consider in detail the reduction to the nonrelativistic case and construct the corresponding action a Newton-Hooke superparticle and its higher-derivative generalizations. The structure of these higher time-derivative generalizations is completely fixed by invariance under the supersymmetric Newton-Hooke algebra extended by two central charges.
|
0908.3883
|
P. S. Howe
|
G. Bossard, P.S. Howe and K.S. Stelle
|
A note on the UV behaviour of maximally supersymmetric Yang-Mills
theories
|
12 pages. Minor changes to text. References added
|
Phys.Lett.B682:137-142,2009
|
10.1016/j.physletb.2009.10.084
|
AEI-2009-nn, KCL-MTH-09-09, Imperial/TP/09/KSS/03
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The question of whether BPS invariants are protected in maximally
supersymmetric Yang-Mills theories is investigated from the point of view of
algebraic renormalisation theory. The protected invariants are those whose
cohomology type differs from that of the action. It is confirmed that one-half
BPS invariants ($F^4$) are indeed protected while the double-trace one-quarter
BPS invariant ($d^2F^4$) is not protected at two loops in D=7, but is protected
at three loops in D=6 in agreement with recent calculations. Non-BPS
invariants, i.e. full superspace integrals, are also shown to be unprotected.
|
[
{
"created": "Wed, 26 Aug 2009 19:06:20 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Oct 2009 17:54:30 GMT",
"version": "v2"
}
] |
2009-11-18
|
[
[
"Bossard",
"G.",
""
],
[
"Howe",
"P. S.",
""
],
[
"Stelle",
"K. S.",
""
]
] |
The question of whether BPS invariants are protected in maximally supersymmetric Yang-Mills theories is investigated from the point of view of algebraic renormalisation theory. The protected invariants are those whose cohomology type differs from that of the action. It is confirmed that one-half BPS invariants ($F^4$) are indeed protected while the double-trace one-quarter BPS invariant ($d^2F^4$) is not protected at two loops in D=7, but is protected at three loops in D=6 in agreement with recent calculations. Non-BPS invariants, i.e. full superspace integrals, are also shown to be unprotected.
|
2012.10967
|
Poulami Dutta Roy
|
Surajit Basak, Poulami Dutta Roy, Sayan Kar
|
A new model with solitary waves: solution, stability and quasinormal
modes
|
Matches published version in European Physical Journal Plus
|
Eur. Phys. J. Plus 136, 618 (2021)
|
10.1140/epjp/s13360-021-01544-3
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We construct solitary wave solutions in a $1+1$ dimensional massless scalar
($\phi$) field theory with a specially chosen potential $V(\phi)$. The equation
governing perturbations about this solitary wave has an effective potential
which is a simple harmonic well over a region, and a constant beyond. This
feature allows us to ensure the stability of the solitary wave through the
existence of bound states in the well, which can be found by semi-analytical
methods. A further check on stability is performed through our search for
quasi-normal modes (QNM) which are defined for purely outgoing boundary
conditions. The time-domain profiles of the perturbations and the parametric
variation of the QNM values are presented and discussed in some detail.
Expectedly, a damped oscillatory temporal behaviour (ringdown) of the
fluctuations is clearly seen through our analysis of the quasi-normal modes.
|
[
{
"created": "Sun, 20 Dec 2020 16:28:44 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Jun 2021 11:07:09 GMT",
"version": "v2"
}
] |
2021-06-04
|
[
[
"Basak",
"Surajit",
""
],
[
"Roy",
"Poulami Dutta",
""
],
[
"Kar",
"Sayan",
""
]
] |
We construct solitary wave solutions in a $1+1$ dimensional massless scalar ($\phi$) field theory with a specially chosen potential $V(\phi)$. The equation governing perturbations about this solitary wave has an effective potential which is a simple harmonic well over a region, and a constant beyond. This feature allows us to ensure the stability of the solitary wave through the existence of bound states in the well, which can be found by semi-analytical methods. A further check on stability is performed through our search for quasi-normal modes (QNM) which are defined for purely outgoing boundary conditions. The time-domain profiles of the perturbations and the parametric variation of the QNM values are presented and discussed in some detail. Expectedly, a damped oscillatory temporal behaviour (ringdown) of the fluctuations is clearly seen through our analysis of the quasi-normal modes.
|
hep-th/0411246
|
Henning Samtleben
|
J.F. Morales, H. Samtleben
|
Higher spin holography for SYM in d dimensions
|
14 pages
|
Phys.Lett. B607 (2005) 286-293
|
10.1016/j.physletb.2004.12.031
|
CERN-TH/2004-234, DESY 04-229
|
hep-th
| null |
We derive the spectrum of gauge invariant operators for maximally
supersymmetric Yang-Mills theories in d dimensions. After subtracting the tower
of BPS multiplets, states are shown to fall into long multiplets of a hidden
SO(10,2) symmetry dressed by thirty-two supercharges. Their primaries organize
into a universal, i.e. d-independent pattern. The results are in perfect
agreement with those following from (naive) KK reduction of type II strings on
the warped AdS x S near-horizon geometry of Dp-branes.
|
[
{
"created": "Fri, 26 Nov 2004 16:21:55 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Morales",
"J. F.",
""
],
[
"Samtleben",
"H.",
""
]
] |
We derive the spectrum of gauge invariant operators for maximally supersymmetric Yang-Mills theories in d dimensions. After subtracting the tower of BPS multiplets, states are shown to fall into long multiplets of a hidden SO(10,2) symmetry dressed by thirty-two supercharges. Their primaries organize into a universal, i.e. d-independent pattern. The results are in perfect agreement with those following from (naive) KK reduction of type II strings on the warped AdS x S near-horizon geometry of Dp-branes.
|
hep-th/9304004
|
Peter Orland
|
Peter Orland
|
The Space-Time Manifold as a Critical Solid
|
10 pages, BCUNY-HEP-93-1
| null | null | null |
hep-th
| null |
It is argued that the problems of the cosmological constant, stability and
renormalizability of quantum gravity can be solved if the space-time manifold
arises through spontaneous symmetry breaking. A ``pre-manifold" model is
presented in which many points are connected by random bonds. A set of $D$ real
numbers assigned to each point are coupled between points connected by bonds.
It is then found that the dominant configuration of bonds is a flat
$D$-dimensional manifold, on which there is a massless matter field.
Long-wavelength fluctuations can describe quantized massless gravity if
$D=\;4$, $6$, $8...$.
|
[
{
"created": "Fri, 2 Apr 1993 06:01:36 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Orland",
"Peter",
""
]
] |
It is argued that the problems of the cosmological constant, stability and renormalizability of quantum gravity can be solved if the space-time manifold arises through spontaneous symmetry breaking. A ``pre-manifold" model is presented in which many points are connected by random bonds. A set of $D$ real numbers assigned to each point are coupled between points connected by bonds. It is then found that the dominant configuration of bonds is a flat $D$-dimensional manifold, on which there is a massless matter field. Long-wavelength fluctuations can describe quantized massless gravity if $D=\;4$, $6$, $8...$.
|
hep-th/0005139
|
Jihn E. Kim
|
Jihn E. Kim and Bumseok Kyae
|
Exact Cosmological Solution and Modulus Stabilization in the
Randall-Sundrum Model with Bulk Matter
|
Latex file of 14 pages
|
Phys.Lett. B486 (2000) 165-171
|
10.1016/S0370-2693(00)00740-1
| null |
hep-th
| null |
We provide the exact time-dependent cosmological solutions in the
Randall-Sundrum (RS) setup with bulk matter, which may be smoothly connected to
the static RS metric. In the static limit of the extra dimension, the solutions
are reduced to the standard Friedmann equations. In view of our solutions, we
also propose an explanation for how the extra dimension is stabilized in spite
of a flat modulus potential at the classical level.
|
[
{
"created": "Tue, 16 May 2000 08:51:14 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Jun 2000 08:27:45 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Kim",
"Jihn E.",
""
],
[
"Kyae",
"Bumseok",
""
]
] |
We provide the exact time-dependent cosmological solutions in the Randall-Sundrum (RS) setup with bulk matter, which may be smoothly connected to the static RS metric. In the static limit of the extra dimension, the solutions are reduced to the standard Friedmann equations. In view of our solutions, we also propose an explanation for how the extra dimension is stabilized in spite of a flat modulus potential at the classical level.
|
1510.03390
|
Jan Ambjorn
|
Jan Ambjorn and Yuri Makeenko
|
Scaling behavior of regularized bosonic strings
|
35 pages
|
Phys. Rev. D 93, 066007 (2016)
|
10.1103/PhysRevD.93.066007
| null |
hep-th gr-qc hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We implement a proper-time UV regularisation of the Nambu-Goto string,
introducing an independent metric tensor and the corresponding Lagrange
multiplier, and treating them in the mean-field approximation justified for
long strings and/or when the dimensions of space-time is large. We compute the
regularised determinant of the 2d Laplacian for the closed string winding
around a compact dimension, obtaining in this way the effective action, whose
minimisation determines the energy of the string ground state in the mean-field
approximation. We discuss the existence of two scaling limits when the cutoff
is taken to infinity. One scaling limit reproduces the results obtained by the
hypercubic regularisation of the Nambu-Goto string as well as by the use of the
dynamical triangulation regularisation of the Polyakov string. The other
scaling limit reproduces the results obtained by canonical quantisation of the
Nambu-Goto string.
|
[
{
"created": "Mon, 12 Oct 2015 18:51:24 GMT",
"version": "v1"
}
] |
2016-03-30
|
[
[
"Ambjorn",
"Jan",
""
],
[
"Makeenko",
"Yuri",
""
]
] |
We implement a proper-time UV regularisation of the Nambu-Goto string, introducing an independent metric tensor and the corresponding Lagrange multiplier, and treating them in the mean-field approximation justified for long strings and/or when the dimensions of space-time is large. We compute the regularised determinant of the 2d Laplacian for the closed string winding around a compact dimension, obtaining in this way the effective action, whose minimisation determines the energy of the string ground state in the mean-field approximation. We discuss the existence of two scaling limits when the cutoff is taken to infinity. One scaling limit reproduces the results obtained by the hypercubic regularisation of the Nambu-Goto string as well as by the use of the dynamical triangulation regularisation of the Polyakov string. The other scaling limit reproduces the results obtained by canonical quantisation of the Nambu-Goto string.
|
1512.02089
|
Eva Silverstein
|
Eva Silverstein
|
Inflation in string theory confronts data/Les mod\`eles d'inflation en
th\'eorie des cordes face aux observations
|
20 pages
|
Comptes Rendus Physique vol 16 issue 10 Dec 2015 pages 1003-11
|
10.1016/j.crhy.2015.08.006
| null |
hep-th astro-ph.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Following the 2015 Planck release, we briefly comment on the status and some
ongoing opportunities in the interface between inflationary cosmology, string
theory, and CMB data. The constraints in the $r$-$n_s$ plane introduce a new
parameter into inflationary cosmology relative to the simplest quadratic
inflation model, in a direction which fits well with couplings to heavy fields
as occurs in string theory. The precision of the data permits further searches
for and constraints on additional model-dependent features, such as oscillatory
$N$-spectra, a program requiring specific theoretically motivated shapes. Since
the perturbations can easily be affected by additional sectors and couplings,
null results can usefully bound such contributions. We also review the broader
lessons string theory has contributed to our understanding of primordial
inflation, and close with some approaches to a more complete framework.
Published in a special volume of Comptes Rendus on Inflation: Theoretical and
Observational Status.
|
[
{
"created": "Mon, 7 Dec 2015 15:29:03 GMT",
"version": "v1"
}
] |
2017-03-15
|
[
[
"Silverstein",
"Eva",
""
]
] |
Following the 2015 Planck release, we briefly comment on the status and some ongoing opportunities in the interface between inflationary cosmology, string theory, and CMB data. The constraints in the $r$-$n_s$ plane introduce a new parameter into inflationary cosmology relative to the simplest quadratic inflation model, in a direction which fits well with couplings to heavy fields as occurs in string theory. The precision of the data permits further searches for and constraints on additional model-dependent features, such as oscillatory $N$-spectra, a program requiring specific theoretically motivated shapes. Since the perturbations can easily be affected by additional sectors and couplings, null results can usefully bound such contributions. We also review the broader lessons string theory has contributed to our understanding of primordial inflation, and close with some approaches to a more complete framework. Published in a special volume of Comptes Rendus on Inflation: Theoretical and Observational Status.
|
2302.06618
|
Christian Ecker
|
Christian Ecker, Elias Kiritsis, Wilke van der Schee
|
A dynamical inflaton coupled to strongly interacting matter
|
5 pages, 5 figures and supplemental material. Comments welcome
| null |
10.1103/PhysRevLett.130.251001
|
CERN-TH-2023-026, CCTP-2023-2, ITCP-2023/2
|
hep-th astro-ph.CO gr-qc hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
According to the inflationary theory of cosmology, most elementary particles
in the current universe were created during a period of reheating after
inflation. In this work we self-consistently couple the Einstein-inflaton
equations to a strongly coupled quantum field theory (QFT) as described by
holography. We show that this leads to an inflating universe, a reheating phase
and finally a universe dominated by the QFT in thermal equilibrium.
|
[
{
"created": "Mon, 13 Feb 2023 19:00:00 GMT",
"version": "v1"
},
{
"created": "Fri, 31 May 2024 16:27:41 GMT",
"version": "v2"
}
] |
2024-06-03
|
[
[
"Ecker",
"Christian",
""
],
[
"Kiritsis",
"Elias",
""
],
[
"van der Schee",
"Wilke",
""
]
] |
According to the inflationary theory of cosmology, most elementary particles in the current universe were created during a period of reheating after inflation. In this work we self-consistently couple the Einstein-inflaton equations to a strongly coupled quantum field theory (QFT) as described by holography. We show that this leads to an inflating universe, a reheating phase and finally a universe dominated by the QFT in thermal equilibrium.
|
hep-th/9809189
|
Paolo Maraner
|
P. Maraner
|
Effective Dynamics on a Line
|
8 pages, LaTex
| null | null |
MIT-CTP-2783
|
hep-th quant-ph
| null |
The effective classical/quantum dynamics of a particle constrained on a
closed line embedded in a higher dimensional configuration space is analyzed.
By considering explicit examples it is shown how different reduction mechanisms
produce unequivalent dynamical behaviors. The relation with a formal treatment
of the constraint is discussed. While classically it is always possible to
strictly enforce the constraint by setting to zero the energy stored in the
motion normal to the constraint surface, the quantum description is far more
sensitive to the reduction mechanism. Not only quantum dynamics is plagued by
the usual ambiguities inherent to the quantization procedure, but also in some
cases the constraint's equations do not contain all the necessary information
to reconstruct the effective motion.
|
[
{
"created": "Mon, 28 Sep 1998 20:56:17 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Maraner",
"P.",
""
]
] |
The effective classical/quantum dynamics of a particle constrained on a closed line embedded in a higher dimensional configuration space is analyzed. By considering explicit examples it is shown how different reduction mechanisms produce unequivalent dynamical behaviors. The relation with a formal treatment of the constraint is discussed. While classically it is always possible to strictly enforce the constraint by setting to zero the energy stored in the motion normal to the constraint surface, the quantum description is far more sensitive to the reduction mechanism. Not only quantum dynamics is plagued by the usual ambiguities inherent to the quantization procedure, but also in some cases the constraint's equations do not contain all the necessary information to reconstruct the effective motion.
|
2004.09157
|
Gabriel Moreau
|
G. Moreau, J. Serreau, C. No\^us
|
The $1/N$ expansion for stochastic fields in de Sitter spacetime
|
8 pages, 5 figures
|
Phys. Rev. D 102, 125015 (2020)
|
10.1103/PhysRevD.102.125015
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a $1/N$ expansion of Starobinsky and Yokoyama's effective
stochastic approach for light quantum fields on superhorizon scales in de
Sitter spacetime. We explicitly compute the spectrum and the eigenfunctions of
the Fokker-Planck operator for a O($N$)-symmetric theory with quartic
selfinteraction at leading and next-to-leading orders in this expansion. We
obtain simple analytical expressions valid in various nonperturbative regimes
in terms of the interaction coupling constant.
|
[
{
"created": "Mon, 20 Apr 2020 09:36:17 GMT",
"version": "v1"
}
] |
2021-01-04
|
[
[
"Moreau",
"G.",
""
],
[
"Serreau",
"J.",
""
],
[
"Noûs",
"C.",
""
]
] |
We propose a $1/N$ expansion of Starobinsky and Yokoyama's effective stochastic approach for light quantum fields on superhorizon scales in de Sitter spacetime. We explicitly compute the spectrum and the eigenfunctions of the Fokker-Planck operator for a O($N$)-symmetric theory with quartic selfinteraction at leading and next-to-leading orders in this expansion. We obtain simple analytical expressions valid in various nonperturbative regimes in terms of the interaction coupling constant.
|
hep-th/9310047
|
Youngjai Kiem
|
Youngjai Kiem
|
An extension of Birkhoff's theorem to a class of 2-d gravity theories
containing black holes
|
11 pages, PUPT-1423
|
Phys.Lett.B322:323-330,1994
|
10.1016/0370-2693(94)91160-6
| null |
hep-th
| null |
A class of 2-dimensional models including 2-d dilaton gravity, spherically
symmetric reduction of d-dimensional Einstein gravity and other related
theories are classically analyzed. The general analytic solutions in the
absence of matter fields other than a U(1) gauge field are obtained under a new
gauge choice and recast in the conventional conformal gauge. These solutions
imply that Birkhoff's theorem, originally applied to spherically symmetric 4-d
Einstein gravity, can be applied to all models we consider. Some issues related
to the coupling of massless scalar fields and the quantization are briefly
discussed.
|
[
{
"created": "Thu, 7 Oct 1993 18:24:20 GMT",
"version": "v1"
}
] |
2010-11-01
|
[
[
"Kiem",
"Youngjai",
""
]
] |
A class of 2-dimensional models including 2-d dilaton gravity, spherically symmetric reduction of d-dimensional Einstein gravity and other related theories are classically analyzed. The general analytic solutions in the absence of matter fields other than a U(1) gauge field are obtained under a new gauge choice and recast in the conventional conformal gauge. These solutions imply that Birkhoff's theorem, originally applied to spherically symmetric 4-d Einstein gravity, can be applied to all models we consider. Some issues related to the coupling of massless scalar fields and the quantization are briefly discussed.
|
hep-th/9406196
|
Alexeiev Anton
|
A.Yu.Alekseev and L.D.Faddeev
|
An involution and dynamics for the $q$-deformed quantum top
|
Uppsala University preprint UUITP 12/1994, 12 pages, LaTeX file
|
Zap.Nauchn.Semin.200:3-16,1992; J.Math.Sci.77:3137-3145,1995
| null | null |
hep-th
| null |
It is known that the involution corresponding to the compact form is
incompatible with comultiplication for quantum groups at $|q|=1$. In this paper
we consider the quantum algebra of functions on the deformed space $T^{*}G_{q}$
which includes both the quantum group and the quantum universal enveloping
algebra as subalgebras. For this extended object we construct an
anti-involution which reduces to the compact form $*$-operation in the limit
$q\rightarrow 1$. The algebra of functions on $T^{*}G_{q}$ endowed with the
$*$-operation may be viewed as an algebra of observables of a quantum
mechanical system. The most natural interpretation for such a system is a
deformation of the quantum symmetric top. We suggest a discrete dynamics for
this system which imitates the free motion of the top.
|
[
{
"created": "Wed, 29 Jun 1994 14:21:54 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Alekseev",
"A. Yu.",
""
],
[
"Faddeev",
"L. D.",
""
]
] |
It is known that the involution corresponding to the compact form is incompatible with comultiplication for quantum groups at $|q|=1$. In this paper we consider the quantum algebra of functions on the deformed space $T^{*}G_{q}$ which includes both the quantum group and the quantum universal enveloping algebra as subalgebras. For this extended object we construct an anti-involution which reduces to the compact form $*$-operation in the limit $q\rightarrow 1$. The algebra of functions on $T^{*}G_{q}$ endowed with the $*$-operation may be viewed as an algebra of observables of a quantum mechanical system. The most natural interpretation for such a system is a deformation of the quantum symmetric top. We suggest a discrete dynamics for this system which imitates the free motion of the top.
|
hep-th/0003065
|
Vladimir Kazakov
|
V. A. Kazakov
|
Field Theory as a Matrix Model
|
16 pages, 3 figures
|
Nucl.Phys. B587 (2000) 645-656
|
10.1016/S0550-3213(00)00327-8
|
LPTENS-00/10
|
hep-th
| null |
A new formulation of four dimensional quantum field theories, such as scalar
field theory, is proposed as a large N limit of a special NxN matrix model. Our
reduction scheme works beyond planar approximation and applies for QFT with
finite number of fields. It uses quenched coordinates instead of quenched
momenta of the old Eguchi-Kawai reduction known to yield correctly only the
planar sector of quantum field theory. Fermions can be also included.
|
[
{
"created": "Wed, 8 Mar 2000 20:34:13 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Kazakov",
"V. A.",
""
]
] |
A new formulation of four dimensional quantum field theories, such as scalar field theory, is proposed as a large N limit of a special NxN matrix model. Our reduction scheme works beyond planar approximation and applies for QFT with finite number of fields. It uses quenched coordinates instead of quenched momenta of the old Eguchi-Kawai reduction known to yield correctly only the planar sector of quantum field theory. Fermions can be also included.
|
hep-th/0601057
|
Ion I. Cot?escu
|
Adrian Palcu
|
Neutrino mass as a consequence of the exact solution of 3-3-1 gauge
models without exotic electric charges
|
15 pages, no figures
|
Mod.Phys.Lett. A21 (2006) 1203-1218
|
10.1142/S0217732306020007
| null |
hep-th
| null |
The unjustly neglected method of exactly solving generalized electro-weak
models - with an original spontaneous symmetry breaking mechanism based on the
gauge group $SU(n)_{L}\otimes U(1)_{Y}$ - is applied here to a particular class
of chiral 3-3-1 models. This procedure enables us - without resorting to any
approximation - to express the boson mass spectrum and charges of the particles
involved therein as a straightforward consequence of both a proper
parametrization of the Higgs sector and a new generalized Weinberg
transformation. We prove that the resulting values can be accommodated to the
experimental ones just by tuning a sole parameter. Furthermore, if we take into
consideration both the left-handed and right-handed components of the neutrino
(included in a lepton triplet along with their corresponding left-handed
charged partner) then we are in the position to propose an original method for
the neutrino to acquire a very small but non-zero mass without spoiling the
previously achieved results in the exact solution of the model. In order to be
compatible with the existing phenomenological data, the range of that sole
parameter imposes in our method a large order of magnitude for the VEV
$<\phi>\sim10^{6}$ TeV. Consequently, the new bosons of the model have to be
very massive.
PACS numbers: 14.60.St; 12.60.Cn; 12.60.Fr
|
[
{
"created": "Tue, 10 Jan 2006 10:03:06 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Mar 2006 08:42:42 GMT",
"version": "v2"
}
] |
2009-08-01
|
[
[
"Palcu",
"Adrian",
""
]
] |
The unjustly neglected method of exactly solving generalized electro-weak models - with an original spontaneous symmetry breaking mechanism based on the gauge group $SU(n)_{L}\otimes U(1)_{Y}$ - is applied here to a particular class of chiral 3-3-1 models. This procedure enables us - without resorting to any approximation - to express the boson mass spectrum and charges of the particles involved therein as a straightforward consequence of both a proper parametrization of the Higgs sector and a new generalized Weinberg transformation. We prove that the resulting values can be accommodated to the experimental ones just by tuning a sole parameter. Furthermore, if we take into consideration both the left-handed and right-handed components of the neutrino (included in a lepton triplet along with their corresponding left-handed charged partner) then we are in the position to propose an original method for the neutrino to acquire a very small but non-zero mass without spoiling the previously achieved results in the exact solution of the model. In order to be compatible with the existing phenomenological data, the range of that sole parameter imposes in our method a large order of magnitude for the VEV $<\phi>\sim10^{6}$ TeV. Consequently, the new bosons of the model have to be very massive. PACS numbers: 14.60.St; 12.60.Cn; 12.60.Fr
|
2108.12564
|
Ryo Yokokura
|
Yoshimasa Hidaka, Muneto Nitta, Ryo Yokokura
|
Global 4-group symmetry and 't Hooft anomalies in topological axion
electrodynamics
|
51 pages, 3 figures
| null |
10.1093/ptep/ptab150
|
KEK-TH-2346, J-PARC-TH-0249,RIKEN-iTHEMS-Report-21
|
hep-th cond-mat.str-el hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study higher-form global symmetries and a higher-group structure of a
low-energy limit of $(3+1)$-dimensional axion electrodynamics in a gapped phase
described by a topological action. We argue that the higher-form symmetries
should have a semi-strict 4-group (3-crossed module) structure by consistency
conditions of couplings of the topological action to background gauge fields
for the higher-form symmetries. We find possible 't Hooft anomalies for the
4-group global symmetry, and discuss physical consequences.
|
[
{
"created": "Sat, 28 Aug 2021 03:43:32 GMT",
"version": "v1"
}
] |
2022-03-04
|
[
[
"Hidaka",
"Yoshimasa",
""
],
[
"Nitta",
"Muneto",
""
],
[
"Yokokura",
"Ryo",
""
]
] |
We study higher-form global symmetries and a higher-group structure of a low-energy limit of $(3+1)$-dimensional axion electrodynamics in a gapped phase described by a topological action. We argue that the higher-form symmetries should have a semi-strict 4-group (3-crossed module) structure by consistency conditions of couplings of the topological action to background gauge fields for the higher-form symmetries. We find possible 't Hooft anomalies for the 4-group global symmetry, and discuss physical consequences.
|
hep-th/0512082
|
Ladislav Hlavat\'y
|
L. Hlavaty, M. Turek
|
Flat coordinates and dilaton fields for three--dimensional conformal
sigma models
|
16 pages, no figures
|
JHEP0606:003,2006
|
10.1088/1126-6708/2006/06/003
| null |
hep-th
| null |
Riemannian coordinates for flat metrics corresponding to three--dimensional
conformal Poisson--Lie T--dualizable sigma models are found by solving partial
differential equations that follow from the transformations of the connection
components. They are then used for finding general forms of the dilaton fields
satisfying the vanishing beta equations of the sigma models.
|
[
{
"created": "Wed, 7 Dec 2005 18:19:56 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Hlavaty",
"L.",
""
],
[
"Turek",
"M.",
""
]
] |
Riemannian coordinates for flat metrics corresponding to three--dimensional conformal Poisson--Lie T--dualizable sigma models are found by solving partial differential equations that follow from the transformations of the connection components. They are then used for finding general forms of the dilaton fields satisfying the vanishing beta equations of the sigma models.
|
2403.18898
|
Silas Beane
|
Silas R. Beane, Domenico Orlando, and Susanne Reffert
|
Exact evaluation of large-charge correlation functions in
non-relativistic conformal field theory
|
30 pages, 5 figures, minor errors corrected
|
Phys.Rev.D.110(2024)025011
|
10.1103/PhysRevD.110.025011
|
YITP-24-48,NT@UW-24-05
|
hep-th cond-mat.quant-gas hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The large-charge master field which generates all n-point correlation
functions with an insertion of large charge Q in non-relativistic conformal
field theory is obtained. This field is used to compute Schr\"odinger-invariant
n-point correlation functions of large-charge operators via a direct evaluation
of the path integral. Conformal dimensions are found to agree with calculations
based on the state-operator correspondence. The master field solution exhibits
an emergent harmonic trap whose frequency is a function of the Euclidean time.
The large-charge effective action with operator insertions describes a droplet
of superfluid matter whose spatial size scales with the time separation of
sources. The solution is used to compute Schr\"odinger symmetry breaking
corrections in the large-charge effective field theory (EFT) due to a finite
scattering length in the fundamental theory of fermions near unitarity. The
scaling of these effects in the large-charge power counting scheme is
established, and the size of the effects is quantified using input from quantum
Monte Carlo simulations of the near-unitary gas, as well as from the large-N
expansion at large charge.
|
[
{
"created": "Wed, 27 Mar 2024 18:00:02 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Jul 2024 10:39:08 GMT",
"version": "v2"
}
] |
2024-07-19
|
[
[
"Beane",
"Silas R.",
""
],
[
"Orlando",
"Domenico",
""
],
[
"Reffert",
"Susanne",
""
]
] |
The large-charge master field which generates all n-point correlation functions with an insertion of large charge Q in non-relativistic conformal field theory is obtained. This field is used to compute Schr\"odinger-invariant n-point correlation functions of large-charge operators via a direct evaluation of the path integral. Conformal dimensions are found to agree with calculations based on the state-operator correspondence. The master field solution exhibits an emergent harmonic trap whose frequency is a function of the Euclidean time. The large-charge effective action with operator insertions describes a droplet of superfluid matter whose spatial size scales with the time separation of sources. The solution is used to compute Schr\"odinger symmetry breaking corrections in the large-charge effective field theory (EFT) due to a finite scattering length in the fundamental theory of fermions near unitarity. The scaling of these effects in the large-charge power counting scheme is established, and the size of the effects is quantified using input from quantum Monte Carlo simulations of the near-unitary gas, as well as from the large-N expansion at large charge.
|
hep-th/0602262
|
\'Oscar Maci\'a Mr.
|
Sergio Ferrara, Oscar Macia
|
Observations on the Darboux coordinates for rigid special geometry
|
15 pages; final version to appear on JHEP. Misprints corrected,
references added
|
JHEP0605:008,2006
|
10.1088/1126-6708/2006/05/008
|
CERN-PH-TH/2006-036, IFIC/06-12
|
hep-th
| null |
We exploit some relations which exist when (rigid) special geometry is
formulated in real symplectic special coordinates $P^I=(p^\Lambda,q_\Lambda),
I=1,...,2n$. The central role of the real $2n\times 2n$ matrix $M(\Re
\mathcal{F},\Im \mathcal{F})$, where $\mathcal{F} =
\partial_\Lambda\partial_\Sigma F$ and $F$ is the holomorphic prepotential, is
elucidated in the real formalism. The property $M\Omega M=\Omega$ with $\Omega$
being the invariant symplectic form is used to prove several identities in the
Darboux formulation. In this setting the matrix $M$ coincides with the
(negative of the) Hessian matrix $H(S)=\frac{\partial^2 S}{\partial P^I\partial
P^J}$ of a certain hamiltonian real function $S(P)$, which also provides the
metric of the special K\"ahler manifold. When $S(P)=S(U+\bar U)$ is regarded as
a "K\"ahler potential'' of a complex manifold with coordinates
$U^I=\frac12(P^I+iZ^I)$, then it provides a K\"ahler metric of an hyperk\"ahler
manifold which describes the hypermultiplet geometry obtained by c-map from the
original n-dimensional special K\"ahler structure.
|
[
{
"created": "Fri, 24 Feb 2006 18:29:42 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Mar 2006 10:58:56 GMT",
"version": "v2"
},
{
"created": "Fri, 21 Apr 2006 08:41:12 GMT",
"version": "v3"
}
] |
2009-11-11
|
[
[
"Ferrara",
"Sergio",
""
],
[
"Macia",
"Oscar",
""
]
] |
We exploit some relations which exist when (rigid) special geometry is formulated in real symplectic special coordinates $P^I=(p^\Lambda,q_\Lambda), I=1,...,2n$. The central role of the real $2n\times 2n$ matrix $M(\Re \mathcal{F},\Im \mathcal{F})$, where $\mathcal{F} = \partial_\Lambda\partial_\Sigma F$ and $F$ is the holomorphic prepotential, is elucidated in the real formalism. The property $M\Omega M=\Omega$ with $\Omega$ being the invariant symplectic form is used to prove several identities in the Darboux formulation. In this setting the matrix $M$ coincides with the (negative of the) Hessian matrix $H(S)=\frac{\partial^2 S}{\partial P^I\partial P^J}$ of a certain hamiltonian real function $S(P)$, which also provides the metric of the special K\"ahler manifold. When $S(P)=S(U+\bar U)$ is regarded as a "K\"ahler potential'' of a complex manifold with coordinates $U^I=\frac12(P^I+iZ^I)$, then it provides a K\"ahler metric of an hyperk\"ahler manifold which describes the hypermultiplet geometry obtained by c-map from the original n-dimensional special K\"ahler structure.
|
hep-th/9606045
|
Olivier Piguet
|
Olivier Piguet
|
Supersymmetry, Ultraviolet Finiteness and Grand Unification
|
9p., Latex. Referencing improved
| null | null |
UGVA-DPT-1996/06-931
|
hep-th
| null |
A general criterion is given for the vanishing of the beta-functions in N=1
supersymmetric gauge theories.
|
[
{
"created": "Mon, 10 Jun 1996 07:34:35 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Jun 1996 11:23:09 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Piguet",
"Olivier",
""
]
] |
A general criterion is given for the vanishing of the beta-functions in N=1 supersymmetric gauge theories.
|
1901.03089
|
Alberto Alonso-Izquierdo Dr
|
A. Alonso-Izquierdo
|
Asymmetric kink scattering in a two-component scalar field theory model
|
23 pages, 18 figures
|
Commun. Nonlinear Sci. Numer. Simulat. 75 (2019) 200-219
|
10.1016/j.cnsns.2019.04.001
| null |
hep-th nlin.PS
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper the kink scattering in a two-component scalar field theory
model in (1+1)-Minkowskian space-time is addressed. The potential term
$U(\phi_1,\phi_2)$ is given by a polynomial of fourth degree in the first field
component and of sixth degree in the second one. The novel characteristic of
this model is that the kink variety describes two different types of extended
particles. These particles are characterized by its topological charge but also
by a new feature determined by a discrete charge $\Lambda=0,\pm 1$. For this
reason, the kink scattering involves a very rich variety of processes, which
comprises kink annihilation, reflection, charge exchange, transmutation, etc.
It has been found that not only the final velocity of the scattered kinks, but
also the final nature of the emerging lumps after the collision are very
sensitive on the initial velocities. Asymmetric scattering processes arise when
Type I and Type II particles are obliged to collide. In this case, ten
different final scenarios are possible. Symmetric scattering events are also
discussed.
|
[
{
"created": "Thu, 10 Jan 2019 10:44:56 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Jan 2019 17:13:04 GMT",
"version": "v2"
}
] |
2023-03-03
|
[
[
"Alonso-Izquierdo",
"A.",
""
]
] |
In this paper the kink scattering in a two-component scalar field theory model in (1+1)-Minkowskian space-time is addressed. The potential term $U(\phi_1,\phi_2)$ is given by a polynomial of fourth degree in the first field component and of sixth degree in the second one. The novel characteristic of this model is that the kink variety describes two different types of extended particles. These particles are characterized by its topological charge but also by a new feature determined by a discrete charge $\Lambda=0,\pm 1$. For this reason, the kink scattering involves a very rich variety of processes, which comprises kink annihilation, reflection, charge exchange, transmutation, etc. It has been found that not only the final velocity of the scattered kinks, but also the final nature of the emerging lumps after the collision are very sensitive on the initial velocities. Asymmetric scattering processes arise when Type I and Type II particles are obliged to collide. In this case, ten different final scenarios are possible. Symmetric scattering events are also discussed.
|
hep-th/9211078
|
Vipul Periwal
|
Robert C. Myers and Vipul Periwal
|
Off-shell string physics
|
9 pages
| null | null |
iassns-hep-92-68 and McGill/92-49
|
hep-th
| null |
Recent advances in non-critical string theory allow a unique continuation,
preserving conformal invariance, of critical Polyakov string amplitudes to
off-shell momenta. These continuations possess unusual, apparently stringy,
characteristics, which are unlikely to be reproduced in a string field theory.
Thus our results may be an indication that some fundamentally new formulation,
other than string field theory, will be required to extend our understanding of
critical strings beyond the Polyakov path integral. Three-point functions are
explicitly calculated. The tree-level effective potential is computed for the
tachyon. (This preprint includes some computations used to arrive at results
mentioned in hep-th/9211016.)
|
[
{
"created": "Tue, 17 Nov 1992 19:46:38 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Myers",
"Robert C.",
""
],
[
"Periwal",
"Vipul",
""
]
] |
Recent advances in non-critical string theory allow a unique continuation, preserving conformal invariance, of critical Polyakov string amplitudes to off-shell momenta. These continuations possess unusual, apparently stringy, characteristics, which are unlikely to be reproduced in a string field theory. Thus our results may be an indication that some fundamentally new formulation, other than string field theory, will be required to extend our understanding of critical strings beyond the Polyakov path integral. Three-point functions are explicitly calculated. The tree-level effective potential is computed for the tachyon. (This preprint includes some computations used to arrive at results mentioned in hep-th/9211016.)
|
hep-th/9211024
| null |
J. Grundberg, U. Lindstrom and H. Nordstrom
|
Discretization of the Superparticle Path Integral
|
10 pages
|
Mod. Phys. Lett. A8 (1993) 1323-1330
|
10.1142/S0217732393001057
|
USITP-92-11
|
hep-th
| null |
Requiring that the path integral has the global symmetries of the classical
action and obeys the natural composition property of path integrals, and also
that the discretized action has the correct naive continuum limit, we find a
viable discretization of the (D=3,N=2) superparticle action.
|
[
{
"created": "Wed, 4 Nov 1992 12:49:00 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Grundberg",
"J.",
""
],
[
"Lindstrom",
"U.",
""
],
[
"Nordstrom",
"H.",
""
]
] |
Requiring that the path integral has the global symmetries of the classical action and obeys the natural composition property of path integrals, and also that the discretized action has the correct naive continuum limit, we find a viable discretization of the (D=3,N=2) superparticle action.
|
hep-th/0106083
|
Alexander Vilenkin
|
Alexander Vilenkin
|
Cosmological constant problems and their solutions
|
19 pages, revtex. Based on talks given at ``The dark Universe''
(Space Telescope Institute) and PASCOS-2001 in April 2001
|
in "The Dark Universe: Matter, Energy, and Gravity", ed. by M.
Livio (Cambridge University Press, Cambridge 2003)
| null | null |
hep-th astro-ph gr-qc hep-ph
| null |
There are now two cosmological constant problems: (i) why the vacuum energy
is so small and (ii) why it comes to dominate at about the epoch of galaxy
formation. Anthropic selection appears to be the only approach that can
naturally resolve both problems. The challenge presented by this approach is
that it requires scalar fields with extremely flat potentials or four-form
fields coupled to branes with an extremely small charge. Some recent
suggestions are reviewed on how such features can arise in particle physics
models.
|
[
{
"created": "Mon, 11 Jun 2001 18:22:38 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Jun 2001 21:27:53 GMT",
"version": "v2"
}
] |
2007-06-20
|
[
[
"Vilenkin",
"Alexander",
""
]
] |
There are now two cosmological constant problems: (i) why the vacuum energy is so small and (ii) why it comes to dominate at about the epoch of galaxy formation. Anthropic selection appears to be the only approach that can naturally resolve both problems. The challenge presented by this approach is that it requires scalar fields with extremely flat potentials or four-form fields coupled to branes with an extremely small charge. Some recent suggestions are reviewed on how such features can arise in particle physics models.
|
2101.11671
|
Daniel Butter
|
Katrin Becker, Daniel Butter, William D. Linch III, Anindya Sengupta
|
Components of Eleven-dimensional Supergravity with Four Off-shell
Supersymmetries
|
v3: References added, modified footnote. Published version
| null |
10.1007/JHEP07(2021)032
| null |
hep-th math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
We derive the component structure of 11D, $N=1/8$ supergravity linearized
around eleven-dimensional Minkowski space. This theory represents 4 local
supersymmetries closing onto 4 of the 11 spacetime translations without the use
of equations of motion. It may be interpreted as adding $201$ auxiliary bosons
and $56$ auxiliary fermions to the physical supergravity multiplet for a total
of $376+376$ components. These components and their transformations are
organized into representations of $SL(2;\mathbf C)\times G_2$.
|
[
{
"created": "Wed, 27 Jan 2021 20:12:41 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Mar 2021 19:59:35 GMT",
"version": "v2"
},
{
"created": "Thu, 15 Jul 2021 13:49:11 GMT",
"version": "v3"
}
] |
2021-07-28
|
[
[
"Becker",
"Katrin",
""
],
[
"Butter",
"Daniel",
""
],
[
"Linch",
"William D.",
"III"
],
[
"Sengupta",
"Anindya",
""
]
] |
We derive the component structure of 11D, $N=1/8$ supergravity linearized around eleven-dimensional Minkowski space. This theory represents 4 local supersymmetries closing onto 4 of the 11 spacetime translations without the use of equations of motion. It may be interpreted as adding $201$ auxiliary bosons and $56$ auxiliary fermions to the physical supergravity multiplet for a total of $376+376$ components. These components and their transformations are organized into representations of $SL(2;\mathbf C)\times G_2$.
|
2007.06070
|
In Yong Park
|
A. J. Nurmagambetov and I. Y. Park
|
Quantum-gravitational trans-Planckian radiation by a rotating black hole
|
41 pages, minor corrections, version to appear in Fortsch.Phys
|
Fortsch.Phys. 69 (2021) 10, 2100064
|
10.1002/prop.202100064
| null |
hep-th astro-ph.HE gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We recently studied the energy behavior of a quantum-corrected time-dependent
black hole. The system analyzed was a quantum-corrected Kerr solution that
settles down to a stationary configuration as the time dependence fades out. A
trans-Planckian energy scaling in the vicinity of the event horizon resulted,
and we proposed the trans-Planckian radiation to be the missing link in the
glowing mechanism of active galactic nuclei. The main goal of the present work
is to examine the scaling and structure of the radiation by analyzing the
quantum momentum density. We again observe a trans-Planckian behavior.
Furthermore, the momentum density displays structures that are indicative of a
disk-like configuration near the equator and a collimated outflow of matter
from the poles. The bipolar outflow (disk-like structure) should be an
essential part of the underlying mechanism for jets (accretion disks) of active
galactic nuclei.
|
[
{
"created": "Sun, 12 Jul 2020 19:08:15 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Aug 2021 13:09:44 GMT",
"version": "v2"
}
] |
2021-11-11
|
[
[
"Nurmagambetov",
"A. J.",
""
],
[
"Park",
"I. Y.",
""
]
] |
We recently studied the energy behavior of a quantum-corrected time-dependent black hole. The system analyzed was a quantum-corrected Kerr solution that settles down to a stationary configuration as the time dependence fades out. A trans-Planckian energy scaling in the vicinity of the event horizon resulted, and we proposed the trans-Planckian radiation to be the missing link in the glowing mechanism of active galactic nuclei. The main goal of the present work is to examine the scaling and structure of the radiation by analyzing the quantum momentum density. We again observe a trans-Planckian behavior. Furthermore, the momentum density displays structures that are indicative of a disk-like configuration near the equator and a collimated outflow of matter from the poles. The bipolar outflow (disk-like structure) should be an essential part of the underlying mechanism for jets (accretion disks) of active galactic nuclei.
|
hep-th/9409064
|
Igor Klebanov
|
Igor R. Klebanov and Akikazu Hashimoto
|
Non-Perturbative Solution of Matrix Models Modified by Trace-Squared
Terms
|
26 pages, PUPT-1498
|
Nucl.Phys. B434 (1995) 264-282
|
10.1016/0550-3213(94)00518-J
| null |
hep-th
| null |
We present a non-perturbative solution of large $N$ matrix models modified by
terms of the form $ g(\Tr\Phi^4)^2$, which add microscopic wormholes to the
random surface geometry. For $g<g_t$ the sum over surfaces is in the same
universality class as the $g=0$ theory, and the string susceptibility exponent
is reproduced by the conventional Liouville interaction $\sim e^{\alpha_+
\phi}$. For $g=g_t$ we find a different universality class, and the string
susceptibility exponent agrees for any genus with Liouville theory where the
interaction term is dressed by the other branch, $e^{\alpha_- \phi}$. This
allows us to define a double-scaling limit of the $g=g_t$ theory. We also
consider matrix models modified by terms of the form $g O^2$, where $O$ is a
scaling operator. A fine-tuning of $g$ produces a change in this operator's
gravitational dimension which is, again, in accord with the change in the
branch of the Liouville dressing.
|
[
{
"created": "Mon, 12 Sep 1994 15:48:11 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Klebanov",
"Igor R.",
""
],
[
"Hashimoto",
"Akikazu",
""
]
] |
We present a non-perturbative solution of large $N$ matrix models modified by terms of the form $ g(\Tr\Phi^4)^2$, which add microscopic wormholes to the random surface geometry. For $g<g_t$ the sum over surfaces is in the same universality class as the $g=0$ theory, and the string susceptibility exponent is reproduced by the conventional Liouville interaction $\sim e^{\alpha_+ \phi}$. For $g=g_t$ we find a different universality class, and the string susceptibility exponent agrees for any genus with Liouville theory where the interaction term is dressed by the other branch, $e^{\alpha_- \phi}$. This allows us to define a double-scaling limit of the $g=g_t$ theory. We also consider matrix models modified by terms of the form $g O^2$, where $O$ is a scaling operator. A fine-tuning of $g$ produces a change in this operator's gravitational dimension which is, again, in accord with the change in the branch of the Liouville dressing.
|
1102.5740
|
Alberto Zaffaroni
|
Nick Halmagyi, Michela Petrini, Alberto Zaffaroni
|
Non-Relativistic Solutions of N=2 Gauged Supergravity
|
27 pages, v2 refs added, comments regarding string embeddings
altered, cleaner discussion of the scaling parameter for Schrodinger
solutions; v3 published version, refs added
|
JHEP 1108:041,2011
|
10.1007/JHEP08(2011)041
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We find infinite families of supersymmetric solutions of four dimensional,
N=2 gauged supergravity with Lifshitz, Schrodinger and also AdS symmetries. We
focus on the canonical example of a single hypermultiplet and a single vector
multiplet and find that the spectrum of solutions depends crucially on whether
the gaugings are electric or magnetic but to a far milder extent on the
strength of the gaugings. For purely electric or purely magnetic gaugings we
generically find Lifshitz solutions, while for a mixed gauging we find
Schrodinger and AdS solutions. For some of the gaugings the theory has a known
lift to string/M-theory thus giving a higher dimensional embedding of our
solutions.
|
[
{
"created": "Mon, 28 Feb 2011 19:00:42 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Mar 2011 14:27:55 GMT",
"version": "v2"
},
{
"created": "Fri, 9 Sep 2011 08:01:58 GMT",
"version": "v3"
}
] |
2011-09-12
|
[
[
"Halmagyi",
"Nick",
""
],
[
"Petrini",
"Michela",
""
],
[
"Zaffaroni",
"Alberto",
""
]
] |
We find infinite families of supersymmetric solutions of four dimensional, N=2 gauged supergravity with Lifshitz, Schrodinger and also AdS symmetries. We focus on the canonical example of a single hypermultiplet and a single vector multiplet and find that the spectrum of solutions depends crucially on whether the gaugings are electric or magnetic but to a far milder extent on the strength of the gaugings. For purely electric or purely magnetic gaugings we generically find Lifshitz solutions, while for a mixed gauging we find Schrodinger and AdS solutions. For some of the gaugings the theory has a known lift to string/M-theory thus giving a higher dimensional embedding of our solutions.
|
hep-th/9310083
|
Alexander Kirillov
|
Pavel Etingof and Alexander Kirillov Jr
|
Representations of affine Lie algebras, parabolic differential
equations, and Lame functions
|
30 pages, no figures
| null | null | null |
hep-th math.CA math.QA
| null |
We consider correlation functions for the Wess-Zumino-Witten model on the
torus with the insertion of a Cartan element; mathematically this means that we
consider the function of the form $F=\Tr (\Phi_1 (z_1)\ldots \Phi_n
(z_n)q^{-\d}e^{h})$ where $\Phi_i$ are intertwiners between Verma modules and
evaluation modules over an affine Lie algebra $\ghat$, $\d$ is the grading
operator in a Verma module and $h$ is in the Cartan subalgebra of $\g$. We
derive a system of differential equations satisfied by such a function. In
particular, the calculation of $q\frac{\d} {\d q} F$ yields a parabolic second
order PDE closely related to the heat equation on the compact Lie group
corresponding to $\g$. We consider in detail the case $n=1$, $\g = \sltwo$. In
this case we get the following differential equation ($q=e^{\pi \i \tau}$): $
\left( -2\pi\i (K+2)\frac{\d}{\d\tau} +\frac{\d^2}{\d x^2}\right) F =
(m(m+1)\wp(x+\frac{\tau}{2}) +c)F$, which for $K=-2$ (critical level) becomes
Lam\'e equation. For the case $m\in\Z$ we derive integral formulas for $F$ and
find their asymptotics as $K\to -2$, thus recovering classical Lam\'e
functions.
|
[
{
"created": "Thu, 14 Oct 1993 15:19:41 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Oct 1993 16:39:45 GMT",
"version": "v2"
}
] |
2016-09-06
|
[
[
"Etingof",
"Pavel",
""
],
[
"Kirillov",
"Alexander",
"Jr"
]
] |
We consider correlation functions for the Wess-Zumino-Witten model on the torus with the insertion of a Cartan element; mathematically this means that we consider the function of the form $F=\Tr (\Phi_1 (z_1)\ldots \Phi_n (z_n)q^{-\d}e^{h})$ where $\Phi_i$ are intertwiners between Verma modules and evaluation modules over an affine Lie algebra $\ghat$, $\d$ is the grading operator in a Verma module and $h$ is in the Cartan subalgebra of $\g$. We derive a system of differential equations satisfied by such a function. In particular, the calculation of $q\frac{\d} {\d q} F$ yields a parabolic second order PDE closely related to the heat equation on the compact Lie group corresponding to $\g$. We consider in detail the case $n=1$, $\g = \sltwo$. In this case we get the following differential equation ($q=e^{\pi \i \tau}$): $ \left( -2\pi\i (K+2)\frac{\d}{\d\tau} +\frac{\d^2}{\d x^2}\right) F = (m(m+1)\wp(x+\frac{\tau}{2}) +c)F$, which for $K=-2$ (critical level) becomes Lam\'e equation. For the case $m\in\Z$ we derive integral formulas for $F$ and find their asymptotics as $K\to -2$, thus recovering classical Lam\'e functions.
|
hep-th/9404158
| null |
R. Kirschner
|
Regge Asymptotics of Scattering with Flavour Exchange in QCD
|
18 pages LATEX, 3 figures using package FEYNMAN, N3-94
|
Z.Phys. C67 (1995) 459-466
|
10.1007/BF01624588
| null |
hep-th
| null |
The contribution to the perturbative Regge asymptotics of the exchange of two
reggeized fermions with opposite helicity is investigated. The methods of
conformal symmetry known for the case of gluon exchange are extended to this
case where double-logarithmic contributions dominate the asymptotics. The Regge
trajectories at large momentum transfer are calculated.
|
[
{
"created": "Mon, 25 Apr 1994 20:28:00 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Kirschner",
"R.",
""
]
] |
The contribution to the perturbative Regge asymptotics of the exchange of two reggeized fermions with opposite helicity is investigated. The methods of conformal symmetry known for the case of gluon exchange are extended to this case where double-logarithmic contributions dominate the asymptotics. The Regge trajectories at large momentum transfer are calculated.
|
1304.0762
|
Masahito Yamazaki
|
Masahito Yamazaki
|
Entanglement in Theory Space
|
v2: 6 pages, 4 figures, published version
|
Europhys.Lett.103:21002,2013
|
10.1209/0295-5075/103/21002
|
PUPT-2442
|
hep-th cond-mat.str-el quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a new concept of entanglement for quantum systems: entanglement in
theory space. This is defined by decomposing a theory into two by an un-gauging
procedure. We provide two examples where this newly-introduced entanglement is
closely related with conventional geometric entropies: deconstruction and
AGT-type correspondence.
|
[
{
"created": "Tue, 2 Apr 2013 20:00:00 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Aug 2013 16:07:42 GMT",
"version": "v2"
}
] |
2013-08-12
|
[
[
"Yamazaki",
"Masahito",
""
]
] |
We propose a new concept of entanglement for quantum systems: entanglement in theory space. This is defined by decomposing a theory into two by an un-gauging procedure. We provide two examples where this newly-introduced entanglement is closely related with conventional geometric entropies: deconstruction and AGT-type correspondence.
|
2310.10484
|
Emir Syahreza Fadhilla
|
Emir Syahreza Fadhilla, Ardian Nata Atmaja, Bobby Eka Gunara, Mir
Faizal
|
Topologically Stable BPS and Non-BPS States in Supersymmetric
$\mathcal{N}=2$ Baby-Skyrme Model
|
13 pages, 3 figures, abstract and title changed
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
The supersymmetric baby-Skyrme model is an interesting field theoretical
model, and its BPS states have been studied using the usual methods. Here, we
propose a novel method to rigorously obtain both topologically stable BPS and
non-BPS states in the $\mathcal{N}=2$ baby Skyrme Model. It is observed that
the BPS states found using this novel method coincide with the BPS states found
using the usual methods. However, we are also able to obtain the non-BPS
states, which break all of the supersymmetry of the theory. Furthermore, there
exists a one-parameter family of non-BPS solutions that are connected to the
half-BPS solutions, where half of the supersymmetry is restored when the
parameter is set to zero. The proposed method is very general, and we expect
that it might be useful for investigating the topologically stable non-BPS
states of other theories. Thus, this method could possibly have wide
applications for the study of non-BPS states in supersymmetric theories.
|
[
{
"created": "Mon, 16 Oct 2023 15:04:11 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Apr 2024 09:40:30 GMT",
"version": "v2"
}
] |
2024-04-16
|
[
[
"Fadhilla",
"Emir Syahreza",
""
],
[
"Atmaja",
"Ardian Nata",
""
],
[
"Gunara",
"Bobby Eka",
""
],
[
"Faizal",
"Mir",
""
]
] |
The supersymmetric baby-Skyrme model is an interesting field theoretical model, and its BPS states have been studied using the usual methods. Here, we propose a novel method to rigorously obtain both topologically stable BPS and non-BPS states in the $\mathcal{N}=2$ baby Skyrme Model. It is observed that the BPS states found using this novel method coincide with the BPS states found using the usual methods. However, we are also able to obtain the non-BPS states, which break all of the supersymmetry of the theory. Furthermore, there exists a one-parameter family of non-BPS solutions that are connected to the half-BPS solutions, where half of the supersymmetry is restored when the parameter is set to zero. The proposed method is very general, and we expect that it might be useful for investigating the topologically stable non-BPS states of other theories. Thus, this method could possibly have wide applications for the study of non-BPS states in supersymmetric theories.
|
hep-th/0107156
|
DaeKil Park
|
D. K. Park, Hungsoo Kim, Yan-Gang Miao, H. J. W. M\"uller-Kirsten
|
Randall-Sundrum Scenario at Nonzero Temperature
|
10 pages, no figure, will appear in PLB
|
Phys.Lett. B519 (2001) 159-163
|
10.1016/S0370-2693(01)01101-7
| null |
hep-th
| null |
The effect of temperature is investigated in the Randall-Sundrum brane-world
scenario. It is shown that for a spacetime ansatz motivated by similarity with
AdS/CFT correspondence several features of the model, such as its $Z_2$
symmetry, are not maintained at nonzero temperatures.
|
[
{
"created": "Thu, 19 Jul 2001 04:05:38 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Sep 2001 02:41:07 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Park",
"D. K.",
""
],
[
"Kim",
"Hungsoo",
""
],
[
"Miao",
"Yan-Gang",
""
],
[
"Müller-Kirsten",
"H. J. W.",
""
]
] |
The effect of temperature is investigated in the Randall-Sundrum brane-world scenario. It is shown that for a spacetime ansatz motivated by similarity with AdS/CFT correspondence several features of the model, such as its $Z_2$ symmetry, are not maintained at nonzero temperatures.
|
hep-th/0004068
|
Clifford V. Johnson
|
Clifford V. Johnson
|
Enhancons, Fuzzy Spheres and Multi-Monopoles
|
25 pages, latex, 3 primary figures, psfig (v2: Omission of references
to important early work on multi-monopoles is fixed. Note added on possible
relations to certain other recent work on large N, monopoles, and
non-commutativity. A few typos fixed.) (v3: Extensive revision. Statements
about role of Atiyah-Hitchin manifold and instanton corrections refined.
Speculation about location of Higgs zeros removed. Discussion improved in
many places.)
|
Phys.Rev. D63 (2001) 065004
|
10.1103/PhysRevD.63.065004
|
DTP/00/29
|
hep-th
| null |
We study the `enhancon', a spherical hypersurface apparently made of
D-branes, which arises in string theory studies of large N SU(N) pure gauge
theories with eight supercharges. When the gauge theory is 2+1 dimensional, the
enhancon is an S^2. A relation to charge N BPS multi-monopoles is exploited to
uncover many of its detailed properties. It is simply a spherical slice through
an Atiyah-Hitchin-like submanifold of the charge $N$ BPS monopole moduli space.
In the form of Nahm data, it is built from the N dimensional irreducible
representation of SU(2). In this sense the enhancon is a non-commutative
sphere, reminiscent of the spherical `dielectric' branes of Myers.
|
[
{
"created": "Tue, 11 Apr 2000 22:58:29 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Apr 2000 20:14:04 GMT",
"version": "v2"
},
{
"created": "Tue, 22 Aug 2000 23:33:14 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Johnson",
"Clifford V.",
""
]
] |
We study the `enhancon', a spherical hypersurface apparently made of D-branes, which arises in string theory studies of large N SU(N) pure gauge theories with eight supercharges. When the gauge theory is 2+1 dimensional, the enhancon is an S^2. A relation to charge N BPS multi-monopoles is exploited to uncover many of its detailed properties. It is simply a spherical slice through an Atiyah-Hitchin-like submanifold of the charge $N$ BPS monopole moduli space. In the form of Nahm data, it is built from the N dimensional irreducible representation of SU(2). In this sense the enhancon is a non-commutative sphere, reminiscent of the spherical `dielectric' branes of Myers.
|
1209.6041
|
Paul-Konstantin Oehlmann
|
Damian Kaloni Mayorga Pena, Hans Peter Nilles, Paul-Konstantin
Oehlmann
|
A Zip-code for Quarks, Leptons and Higgs Bosons
|
42 pages, 8 figures. v2: published version, references added
|
JHEP 1212 (2012) 024
|
10.1007/JHEP12(2012)024
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The location of matter fields and the pattern of gauge symmetry in extra
dimensions are crucial ingredients for string model building. We analyze
realistic MSSM models from the heterotic Z6 Mini-Landscape and extract those
properties that are vital for their success. We find that Higgs bosons and the
top quark are not localized in extra dimensions and live in the full D=10
dimensional space-time. The first two families of quarks and leptons, however,
live at specific fixed points in extra dimensional space and exhibit a
(discrete) family symmetry. Within a newly constructed Z2XZ4 orbifold framework
we further elaborate on these location properties and the appearance of
discrete symmetries. A similar geometrical picture emerges. This particular
Zip-code for quarks, leptons and Higgs bosons seems to be of more general
validity and thus a useful guideline for realistic model building in string
theory.
|
[
{
"created": "Wed, 26 Sep 2012 19:33:37 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Feb 2013 09:17:40 GMT",
"version": "v2"
}
] |
2015-06-11
|
[
[
"Pena",
"Damian Kaloni Mayorga",
""
],
[
"Nilles",
"Hans Peter",
""
],
[
"Oehlmann",
"Paul-Konstantin",
""
]
] |
The location of matter fields and the pattern of gauge symmetry in extra dimensions are crucial ingredients for string model building. We analyze realistic MSSM models from the heterotic Z6 Mini-Landscape and extract those properties that are vital for their success. We find that Higgs bosons and the top quark are not localized in extra dimensions and live in the full D=10 dimensional space-time. The first two families of quarks and leptons, however, live at specific fixed points in extra dimensional space and exhibit a (discrete) family symmetry. Within a newly constructed Z2XZ4 orbifold framework we further elaborate on these location properties and the appearance of discrete symmetries. A similar geometrical picture emerges. This particular Zip-code for quarks, leptons and Higgs bosons seems to be of more general validity and thus a useful guideline for realistic model building in string theory.
|
hep-th/9110031
|
Krzysztof Pilch
|
P. Bouwknegt, J. McCarthy and K. Pilch
|
BRST Analysis of Physical States for 2D (Super) Gravity Coupled to
(Super) Conformal Matter
|
11 pages
| null |
10.1007/BF02099397
| null |
hep-th
| null |
We summarize some recent results on the BRST analysis of physical states of
2D gravity coupled to c<=1 conformal matter and the supersymmetric
generalization.
|
[
{
"created": "Sat, 12 Oct 1991 00:39:29 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Bouwknegt",
"P.",
""
],
[
"McCarthy",
"J.",
""
],
[
"Pilch",
"K.",
""
]
] |
We summarize some recent results on the BRST analysis of physical states of 2D gravity coupled to c<=1 conformal matter and the supersymmetric generalization.
|
1703.08309
|
Hiroki Matsui
|
Hiroki Matsui
|
Trans-Planckian quantum corrections and inflationary vacuum fluctuations
of non-minimally coupled scalar fields
|
11 pages; references added, minor additions, matches published
version
|
Modern Physics Letters A Vol. 34 (2019) 1950275
|
10.1142/S0217732319502754
|
KEK-TH-1966
|
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the present paper we discuss how trans-Planckian physics affects
inflationary vacuum fluctuations and primordial density perturbations. The
trans-Planckian problem during inflation has been widely discussed in
literature, but it is still under debate. We reconsider this problem by using
the two-point correlation function of the non-minimally coupled scalar fields
and constructing the effective potential with the adiabatic (WKB)
regularization or approximation. First, we clearly show that the cut-off
divergence of the quantum fluctuations does not drastically change during
inflation under reasonable assumptions and the corrections can be embedded in
standard effective potential. Thus, the UV effects on the primordial density
perturbation are well translated into the effective potential. Then, we find
out the modified effective potential from the inflationary fluctuations and
show how the trans-Planckian or UV corrections change the potential during
inflation. We clearly show that the new physics strongly affects the inflation
potential during inflation and we obtain a inflationary constraint
$\Lambda_{\rm UV} \ll H/g^{1/2}$ where $g$ is the interaction coupling at the
UV scale $\Lambda_{\rm UV}$.
|
[
{
"created": "Fri, 24 Mar 2017 08:29:23 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Oct 2018 01:23:30 GMT",
"version": "v2"
},
{
"created": "Thu, 15 Aug 2019 04:04:14 GMT",
"version": "v3"
}
] |
2019-08-21
|
[
[
"Matsui",
"Hiroki",
""
]
] |
In the present paper we discuss how trans-Planckian physics affects inflationary vacuum fluctuations and primordial density perturbations. The trans-Planckian problem during inflation has been widely discussed in literature, but it is still under debate. We reconsider this problem by using the two-point correlation function of the non-minimally coupled scalar fields and constructing the effective potential with the adiabatic (WKB) regularization or approximation. First, we clearly show that the cut-off divergence of the quantum fluctuations does not drastically change during inflation under reasonable assumptions and the corrections can be embedded in standard effective potential. Thus, the UV effects on the primordial density perturbation are well translated into the effective potential. Then, we find out the modified effective potential from the inflationary fluctuations and show how the trans-Planckian or UV corrections change the potential during inflation. We clearly show that the new physics strongly affects the inflation potential during inflation and we obtain a inflationary constraint $\Lambda_{\rm UV} \ll H/g^{1/2}$ where $g$ is the interaction coupling at the UV scale $\Lambda_{\rm UV}$.
|
1906.12139
|
Victoria Volkova
|
S. Mironov, V. Rubakov and V. Volkova
|
Cosmological scenarios with bounce and Genesis in Horndeski theory and
beyond: An essay in honor of I.M. Khalatnikov on the occasion of his 100th
birthday
|
This essay was prepared for JETP Special Issue in Honor of I.M.
Khalatnikov 100th Birthday
|
JETP Vol. 156 (4) (2019)
|
10.1134/S0044451019100079
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This essay is a brief review of the recent studies of non-singular
cosmological scenarios with bounce and Genesis and their stability in a
subclass of scalar-tensor theories with higher derivatives -- beyond Horndeski
theories. We discuss the general results of stability analysis of the
non-singular cosmological solutions in beyond Horndeski theories, as well as
other closely related topics: 1) the no-go theorem, which is valid in the
general Horndeski theories but not in their extensions, 2) singularities in
disformal transformations relating beyond Horndeski theories with general ones,
3) healthy behaviour of the scalar sector in the unitary gauge despite
divergencies of coefficients in the quadratic action for perturbations
("$\gamma$-crossing"). We describe several specific examples of bouncing
cosmologies and models with Genesis epoch which have neither ghosts nor
gradient instabilities among the linearized perturbations about the homogeneous
isotropic background during entire evolution.
|
[
{
"created": "Fri, 28 Jun 2019 11:29:48 GMT",
"version": "v1"
}
] |
2019-09-13
|
[
[
"Mironov",
"S.",
""
],
[
"Rubakov",
"V.",
""
],
[
"Volkova",
"V.",
""
]
] |
This essay is a brief review of the recent studies of non-singular cosmological scenarios with bounce and Genesis and their stability in a subclass of scalar-tensor theories with higher derivatives -- beyond Horndeski theories. We discuss the general results of stability analysis of the non-singular cosmological solutions in beyond Horndeski theories, as well as other closely related topics: 1) the no-go theorem, which is valid in the general Horndeski theories but not in their extensions, 2) singularities in disformal transformations relating beyond Horndeski theories with general ones, 3) healthy behaviour of the scalar sector in the unitary gauge despite divergencies of coefficients in the quadratic action for perturbations ("$\gamma$-crossing"). We describe several specific examples of bouncing cosmologies and models with Genesis epoch which have neither ghosts nor gradient instabilities among the linearized perturbations about the homogeneous isotropic background during entire evolution.
|
1512.08012
|
Pavel Spirin
|
Pavel Spirin and Theodore N. Tomaras
|
Gravitational Bremsstrahlung from Massless-particle Collisions
|
The talk given at 14th Marcel Grossmann Meeting, Rome, 12-18 July,
2015. Prepared for submission to the Conference Proceedings
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The angular and frequency characteristics of the gravitational radiation
emitted in collisions of massless particles is studied perturbatively in the
context of classical General Relativity for small values of the ratio $\alpha=
2 r_S/b$ of the Schwarzschild radius over the impact parameter. The particles
are described with their trajectories, while the contribution of the leading
nonlinear terms of the gravitational action is also taken into account. The old
quantum results are reproduced in the zero frequency limit $\omega\ll 1/b$. The
radiation efficiency $\epsilon \equiv E_{\rm rad}/2E$ outside a narrow cone of
angle $\alpha$ in the forward and backward directions with respect to the
initial particle trajectories is given by $\epsilon \sim \alpha^2$ and is
dominated by radiation with characteristic frequency $\omega \sim {\mathcal
O}(1/r_S)$. The comparison with previous works and the known literature is
presented.
|
[
{
"created": "Fri, 25 Dec 2015 16:21:40 GMT",
"version": "v1"
}
] |
2015-12-29
|
[
[
"Spirin",
"Pavel",
""
],
[
"Tomaras",
"Theodore N.",
""
]
] |
The angular and frequency characteristics of the gravitational radiation emitted in collisions of massless particles is studied perturbatively in the context of classical General Relativity for small values of the ratio $\alpha= 2 r_S/b$ of the Schwarzschild radius over the impact parameter. The particles are described with their trajectories, while the contribution of the leading nonlinear terms of the gravitational action is also taken into account. The old quantum results are reproduced in the zero frequency limit $\omega\ll 1/b$. The radiation efficiency $\epsilon \equiv E_{\rm rad}/2E$ outside a narrow cone of angle $\alpha$ in the forward and backward directions with respect to the initial particle trajectories is given by $\epsilon \sim \alpha^2$ and is dominated by radiation with characteristic frequency $\omega \sim {\mathcal O}(1/r_S)$. The comparison with previous works and the known literature is presented.
|
1701.06488
|
Gang Chen
|
Gang Chen, Yeuk-Kwan E. Cheung, Tianheng Wang, Feng Xu
|
A Combinatoric Shortcut to Evaluate CHY-forms
|
34 pages, 10 figures
|
JHEP 1706 (2017) 015
|
10.1007/JHEP06(2017)015
| null |
hep-th hep-ph math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In \cite{Chen:2016fgi} we proposed a differential operator for the evaluation
of the multi-dimensional residues on isolated (zero-dimensional) poles.In this
paper we discuss some new insight on evaluating the (generalized)
Cachazo-He-Yuan (CHY) forms of the scattering amplitudes using this
differential operator. We introduce a tableau representation for the
coefficients appearing in the proposed differential operator. Combining the
tableaux with the polynomial forms of the scattering equations, the evaluation
of the generalized CHY form becomes a simple combinatoric problem. It is thus
possible to obtain the coefficients arising in the differential operator in a
straightforward way. We present the procedure for a complete solution of the
$n$-gon amplitudes at one-loop level in a generalized CHY form. We also apply
our method to fully evaluate the one-loop five-point amplitude in the maximally
supersymmetric Yang-Mills theory; the final result is identical to the one
obtained by Q-Cut.
|
[
{
"created": "Mon, 23 Jan 2017 16:47:16 GMT",
"version": "v1"
}
] |
2019-01-23
|
[
[
"Chen",
"Gang",
""
],
[
"Cheung",
"Yeuk-Kwan E.",
""
],
[
"Wang",
"Tianheng",
""
],
[
"Xu",
"Feng",
""
]
] |
In \cite{Chen:2016fgi} we proposed a differential operator for the evaluation of the multi-dimensional residues on isolated (zero-dimensional) poles.In this paper we discuss some new insight on evaluating the (generalized) Cachazo-He-Yuan (CHY) forms of the scattering amplitudes using this differential operator. We introduce a tableau representation for the coefficients appearing in the proposed differential operator. Combining the tableaux with the polynomial forms of the scattering equations, the evaluation of the generalized CHY form becomes a simple combinatoric problem. It is thus possible to obtain the coefficients arising in the differential operator in a straightforward way. We present the procedure for a complete solution of the $n$-gon amplitudes at one-loop level in a generalized CHY form. We also apply our method to fully evaluate the one-loop five-point amplitude in the maximally supersymmetric Yang-Mills theory; the final result is identical to the one obtained by Q-Cut.
|
0709.1805
|
Rodolfo Russo
|
Dario Duo, Rodolfo Russo and Stefano Sciuto
|
New twist field couplings from the partition function for multiply
wrapped D-branes
|
36 pages, 1 figure; v2: typos corrected, proof in the Appendix
improved
|
JHEP 0712:042,2007
|
10.1088/1126-6708/2007/12/042
|
DFTT 16/2007, QMUL-PH-07-17
|
hep-th
| null |
We consider toroidal compactifications of bosonic string theory with
particular regard to the phases (cocycles) necessary for a consistent
definition of the vertex operators, the boundary states and the T-duality
rules. We use these ingredients to compute the planar multi-loop partition
function describing the interaction among magnetized or intersecting D-branes,
also in presence of open string moduli. It turns out that unitarity in the open
string channel crucially depends on the presence of the cocycles. We then focus
on the 2-loop case and study the degeneration limit where this partition
function is directly related to the tree-level 3-point correlators between
twist fields. These correlators represent the main ingredient in the
computation of Yukawa couplings and other terms in the effective action for
D-brane phenomenological models. By factorizing the 2-loop partition function
we are able to compute the 3-point couplings for abelian twist fields on
generic non-factorized tori, thus generalizing previous expressions valid for
the 2-torus.
|
[
{
"created": "Wed, 12 Sep 2007 13:58:31 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Oct 2007 10:54:36 GMT",
"version": "v2"
}
] |
2009-06-11
|
[
[
"Duo",
"Dario",
""
],
[
"Russo",
"Rodolfo",
""
],
[
"Sciuto",
"Stefano",
""
]
] |
We consider toroidal compactifications of bosonic string theory with particular regard to the phases (cocycles) necessary for a consistent definition of the vertex operators, the boundary states and the T-duality rules. We use these ingredients to compute the planar multi-loop partition function describing the interaction among magnetized or intersecting D-branes, also in presence of open string moduli. It turns out that unitarity in the open string channel crucially depends on the presence of the cocycles. We then focus on the 2-loop case and study the degeneration limit where this partition function is directly related to the tree-level 3-point correlators between twist fields. These correlators represent the main ingredient in the computation of Yukawa couplings and other terms in the effective action for D-brane phenomenological models. By factorizing the 2-loop partition function we are able to compute the 3-point couplings for abelian twist fields on generic non-factorized tori, thus generalizing previous expressions valid for the 2-torus.
|
hep-th/0106210
|
Ichiro Oda
|
Ichiro Oda
|
Higgs Mechanism in the Presence of a Topological Term
|
19 pages, LaTex 2e
|
Int.J.Mod.Phys.A17:89-108,2002
|
10.1142/S0217751X02013058
|
EDO-EP-42
|
hep-th
| null |
In cases of both abelian and nonabelian gauge groups, we study the Higgs
mechanism in the topologically massive gauge theories in an arbitrary
space-time dimension. We show that when the conventional Higgs potential
coexists with a topological term, gauge fields become massive by 'eating'
simultaneously both the Nambu-Goldstone boson and a higher-rank tensor field,
and instead a new massless scalar field is 'vomitted' in the physical spectrum.
Because of the appearance of this new massless field, the number of the
physical degrees of freedom remains unchanged before and after the spontaneous
symmetry breakdown. Moreover, the fact that the new field is a physical and
positive norm state is rigorously proved by performing the manifestly covariant
quantization of the model in three and four dimensions. In the mechanism at
hand, the presence of a topological term makes it possible to shift mass of
gauge fields in a nontrivial manner compared to the conventional value.
|
[
{
"created": "Sat, 23 Jun 2001 07:57:03 GMT",
"version": "v1"
}
] |
2011-07-19
|
[
[
"Oda",
"Ichiro",
""
]
] |
In cases of both abelian and nonabelian gauge groups, we study the Higgs mechanism in the topologically massive gauge theories in an arbitrary space-time dimension. We show that when the conventional Higgs potential coexists with a topological term, gauge fields become massive by 'eating' simultaneously both the Nambu-Goldstone boson and a higher-rank tensor field, and instead a new massless scalar field is 'vomitted' in the physical spectrum. Because of the appearance of this new massless field, the number of the physical degrees of freedom remains unchanged before and after the spontaneous symmetry breakdown. Moreover, the fact that the new field is a physical and positive norm state is rigorously proved by performing the manifestly covariant quantization of the model in three and four dimensions. In the mechanism at hand, the presence of a topological term makes it possible to shift mass of gauge fields in a nontrivial manner compared to the conventional value.
|
hep-th/9503007
|
Vipul Periwal
|
Vipul Periwal
|
Dimensional continuation without perturbation theory
|
6 pages, plain TeX
|
Mod.Phys.Lett. A10 (1995) 1195-1200
|
10.1142/S0217732395001319
|
PUPT-1530
|
hep-th
| null |
A formula is proposed for continuing physical correlation functions to
non-integer numbers of dimensions, expressing them as infinite weighted sums
over the same correlation functions in arbitrary integer dimensions. The
formula is motivated by studying the strong coupling expansion, but the end
result makes no reference to any perturbation theory. It is shown that the
formula leads to the correct dimension dependence in weak coupling perturbation
theory at one loop.
|
[
{
"created": "Wed, 1 Mar 1995 19:35:11 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Periwal",
"Vipul",
""
]
] |
A formula is proposed for continuing physical correlation functions to non-integer numbers of dimensions, expressing them as infinite weighted sums over the same correlation functions in arbitrary integer dimensions. The formula is motivated by studying the strong coupling expansion, but the end result makes no reference to any perturbation theory. It is shown that the formula leads to the correct dimension dependence in weak coupling perturbation theory at one loop.
|
hep-th/9707146
|
Francesco Antonuccio
|
F.Antonuccio, H.C.Pauli and S.Tsujimaru
|
On Matrix Strings, the Large N Limit and Discretized Light-Cone
Quantization
|
21 pages, LaTex2e; 5 figures (.eps files)
| null | null |
MPIH-1997
|
hep-th
| null |
We consider the 1+1 dimensional supersymmetric matrix field theory obtained
from a dimensional reduction of ten dimensional ${\cal N} = 1$ super
Yang-Mills, which is a matrix model candidate for non-perturbative Type IIA
string theory. The gauge group here is U($N$), where $N$ is sent to infinity.
We adopt light-cone coordinates to parametrize the string world sheet, and
choose to work in the light-cone gauge. Quantizing this theory via Discretized
Light-Cone Quantization (DLCQ) introduces an integer, K, which restricts the
light-cone momentum-fraction of constituent quanta to be integer multiples of
1/K. We show how a double scaling limit involving the integers $K$ and $N$
implies the existence of an extra (free) parameter in the Yang-Mills theory,
which plays the role of an effective string coupling constant. The formulation
here provides a natural framework for studying quantitatively string dynamics
and conventional Yang-Mills in a unified setting.
|
[
{
"created": "Wed, 16 Jul 1997 16:24:43 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Antonuccio",
"F.",
""
],
[
"Pauli",
"H. C.",
""
],
[
"Tsujimaru",
"S.",
""
]
] |
We consider the 1+1 dimensional supersymmetric matrix field theory obtained from a dimensional reduction of ten dimensional ${\cal N} = 1$ super Yang-Mills, which is a matrix model candidate for non-perturbative Type IIA string theory. The gauge group here is U($N$), where $N$ is sent to infinity. We adopt light-cone coordinates to parametrize the string world sheet, and choose to work in the light-cone gauge. Quantizing this theory via Discretized Light-Cone Quantization (DLCQ) introduces an integer, K, which restricts the light-cone momentum-fraction of constituent quanta to be integer multiples of 1/K. We show how a double scaling limit involving the integers $K$ and $N$ implies the existence of an extra (free) parameter in the Yang-Mills theory, which plays the role of an effective string coupling constant. The formulation here provides a natural framework for studying quantitatively string dynamics and conventional Yang-Mills in a unified setting.
|
2306.01849
|
Nakarin Lohitsiri
|
Mohamed M. Anber, Nakarin Lohitsiri, Tin Sulejmanpasic
|
Remarks on QCD$_4$ with fundamental and adjoint matter
|
71 pages, 17 figures; Re-analysis of the one scalar case (Sec. 3) +
minor corrections
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We study 4-dimensional SU(N) gauge theory with one adjoint Weyl fermion and
fundamental matter - either bosonic or fermionic. Symmetries, their 't Hooft
anomalies, and the Vafa-Witten-Weingarten theorems strongly constrain the
possible bulk phases. The first part of the paper is dedicated to a single
fundamental fermion or boson. As long as the adjoint Weyl fermion is massless,
this theory always possesses a $\mathbb{Z}_{2N}^\chi$ chiral symmetry, which
breaks spontaneously, supporting $N$ vacua and domain walls between them for a
generic mass of the matter fields. We argue, however, that the domain walls
generically undergo a phase transition, and we establish the corresponding 3d
gauge theories on the walls. The rest of the paper is dedicated to studying the
multi-flavor fundamental matter. Here, the phases crucially depend on the ratio
of the number of colors and the number of fundamental flavors. We also discuss
the limiting scenarios of heavy adjoint and fundamentals, which align neatly
with our current understanding of QCD and $\mathcal{N}=1$ super Yang-Mills
theory.
|
[
{
"created": "Fri, 2 Jun 2023 18:10:04 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Aug 2023 10:18:09 GMT",
"version": "v2"
},
{
"created": "Tue, 21 Nov 2023 16:45:46 GMT",
"version": "v3"
}
] |
2023-11-22
|
[
[
"Anber",
"Mohamed M.",
""
],
[
"Lohitsiri",
"Nakarin",
""
],
[
"Sulejmanpasic",
"Tin",
""
]
] |
We study 4-dimensional SU(N) gauge theory with one adjoint Weyl fermion and fundamental matter - either bosonic or fermionic. Symmetries, their 't Hooft anomalies, and the Vafa-Witten-Weingarten theorems strongly constrain the possible bulk phases. The first part of the paper is dedicated to a single fundamental fermion or boson. As long as the adjoint Weyl fermion is massless, this theory always possesses a $\mathbb{Z}_{2N}^\chi$ chiral symmetry, which breaks spontaneously, supporting $N$ vacua and domain walls between them for a generic mass of the matter fields. We argue, however, that the domain walls generically undergo a phase transition, and we establish the corresponding 3d gauge theories on the walls. The rest of the paper is dedicated to studying the multi-flavor fundamental matter. Here, the phases crucially depend on the ratio of the number of colors and the number of fundamental flavors. We also discuss the limiting scenarios of heavy adjoint and fundamentals, which align neatly with our current understanding of QCD and $\mathcal{N}=1$ super Yang-Mills theory.
|
hep-th/9601041
|
Jan Plefka
|
Jan C. Plefka
|
Supersymmetric Generalizations of Matrix Models
|
PhD Thesis at the University of Hannover, 53 pages in landscape,
LaTeX 2e version, uses NFSS2; no changes in contents
| null | null |
DESY 95-234, ITP-UH 27/95
|
hep-th
| null |
In this thesis generalizations of matrix and eigenvalue models involving
supersymmetry are discussed. Following a brief review of the Hermitian one
matrix model, the c=-2 matrix model is considered. Built from a matrix valued
superfield this model displays supersymmetry on the matrix level. We stress the
emergence of a Nicolai-map of this model to a free Hermitian matrix model and
study its diagrammatic expansion in detail. Correlation functions for quartic
potentials on arbitrary genus are computed, reproducing the string
susceptibility of c=-2 Liouville theory in the scaling limit. The results may
be used to perform a counting of supersymmetric graphs.
We then turn to the supereigenvalue model, today's only successful discrete
approach to 2d quantum supergravity. The model is constructed in a
superconformal field theory formulation by imposing the super-Virasoro
constraints. The complete solution of the model is given in the moment
description, allowing the calculation of the free energy and the multi-loop
correlators on arbitrary genus and for general potentials. The solution is
presented in the discrete case and in the double scaling limit. Explicit
results up to genus two are stated.
Finally the supersymmetric generalization of the external field problem is
addressed. We state the discrete super-Miwa transformations of the
supereigenvalue model on the eigenvalue and matrix level. Properties of
external supereigenvalue models are discussed, although the model corresponding
to the ordinary supereigenvalue model could not be identified so far.
|
[
{
"created": "Wed, 10 Jan 1996 14:39:30 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Jan 1996 13:17:02 GMT",
"version": "v2"
},
{
"created": "Mon, 12 Feb 1996 22:54:39 GMT",
"version": "v3"
},
{
"created": "Fri, 16 Feb 1996 22:13:14 GMT",
"version": "v4"
}
] |
2016-09-06
|
[
[
"Plefka",
"Jan C.",
""
]
] |
In this thesis generalizations of matrix and eigenvalue models involving supersymmetry are discussed. Following a brief review of the Hermitian one matrix model, the c=-2 matrix model is considered. Built from a matrix valued superfield this model displays supersymmetry on the matrix level. We stress the emergence of a Nicolai-map of this model to a free Hermitian matrix model and study its diagrammatic expansion in detail. Correlation functions for quartic potentials on arbitrary genus are computed, reproducing the string susceptibility of c=-2 Liouville theory in the scaling limit. The results may be used to perform a counting of supersymmetric graphs. We then turn to the supereigenvalue model, today's only successful discrete approach to 2d quantum supergravity. The model is constructed in a superconformal field theory formulation by imposing the super-Virasoro constraints. The complete solution of the model is given in the moment description, allowing the calculation of the free energy and the multi-loop correlators on arbitrary genus and for general potentials. The solution is presented in the discrete case and in the double scaling limit. Explicit results up to genus two are stated. Finally the supersymmetric generalization of the external field problem is addressed. We state the discrete super-Miwa transformations of the supereigenvalue model on the eigenvalue and matrix level. Properties of external supereigenvalue models are discussed, although the model corresponding to the ordinary supereigenvalue model could not be identified so far.
|
1901.05140
|
Deyou Chen
|
Deyou Chen, Wei Yang, Xiaoxiong Zeng
|
Thermodynamics and weak cosmic censorship conjecture in
Reissner-Nordstr$\ddot{o}$m anti-de Sitter black holes with scalar field
|
14pages
|
Nuclear Physics B 946 (2019) 114722
|
10.1016/j.nuclphysb.2019.114722
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
The thermodynamics and weak cosmic censorship conjecture in
Reissner-Nordstr$\ddot{o}$m anti-de Sitter black holes are investigated by the
scattering of the scalar field. The first law of thermodynamics in the
non-extremal Reissner-Nordstr$\ddot{o}$m anti-de Sitter black hole is recovered
by the scattering. The increase of the horizon radius indicates that the
singularity is not naked in this black hole. For the near-extremal and extremal
black holes, the validity is tested by the minimum values of the function $f$
at their final states. It is found that both of the near-extremal and extremal
black holes can not be overcharged. When $\omega=q\phi$, the final state of the
extremal black hole is still an extremal black hole. When $\omega\neq q\phi$,
it becomes a near-extremal black hole with new mass and charge.
|
[
{
"created": "Wed, 16 Jan 2019 05:45:28 GMT",
"version": "v1"
},
{
"created": "Sun, 27 Jan 2019 12:00:30 GMT",
"version": "v2"
},
{
"created": "Sat, 13 Apr 2019 01:41:28 GMT",
"version": "v3"
},
{
"created": "Wed, 16 Oct 2019 09:09:59 GMT",
"version": "v4"
}
] |
2019-10-17
|
[
[
"Chen",
"Deyou",
""
],
[
"Yang",
"Wei",
""
],
[
"Zeng",
"Xiaoxiong",
""
]
] |
The thermodynamics and weak cosmic censorship conjecture in Reissner-Nordstr$\ddot{o}$m anti-de Sitter black holes are investigated by the scattering of the scalar field. The first law of thermodynamics in the non-extremal Reissner-Nordstr$\ddot{o}$m anti-de Sitter black hole is recovered by the scattering. The increase of the horizon radius indicates that the singularity is not naked in this black hole. For the near-extremal and extremal black holes, the validity is tested by the minimum values of the function $f$ at their final states. It is found that both of the near-extremal and extremal black holes can not be overcharged. When $\omega=q\phi$, the final state of the extremal black hole is still an extremal black hole. When $\omega\neq q\phi$, it becomes a near-extremal black hole with new mass and charge.
|
1609.01208
|
Bala Subramanian
|
Pallab Basu, Chethan Krishnan, P. N. Bala Subramanian
|
Hairy Black Holes in a Box
|
v4: Some figures corrected, typos fixed, conclusions unchanged.
Subsection about very low charge scalar added, strengthening the parallels to
AdS and 2+1 d box
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We do a systematic study of the phases of gravity coupled to an
electromagnetic field and charged scalar in flat space, with box boundary
conditions. The scalar-less box has previously been investigated by Braden,
Brown, Whiting and York (and others) before AdS/CFT and we elaborate and extend
their results in a language more familiar from holography. The phase diagram of
the system is analogous to that of AdS black holes, but we emphasize the
differences and explain their origin. Once the scalar is added, we show that
the system admits both boson stars as well as hairy black holes as solutions,
providing yet another way to evade flat space no-hair theorems. Furthermore
both these solutions can exist as stable phases in regions of the phase
diagram. The final picture of the phases that emerges is strikingly similar to
that found recently for holographic superconductors in global AdS, arXiv:
1602.07211. Our construction lays bare certain previously unnoticed subtleties
associated to the definition quasi-local charges for gravitating scalar fields
in finite regions.
|
[
{
"created": "Mon, 5 Sep 2016 16:12:25 GMT",
"version": "v1"
},
{
"created": "Sun, 25 Sep 2016 08:27:30 GMT",
"version": "v2"
},
{
"created": "Mon, 31 Oct 2016 06:56:18 GMT",
"version": "v3"
},
{
"created": "Sat, 1 Jun 2019 15:44:00 GMT",
"version": "v4"
}
] |
2019-06-04
|
[
[
"Basu",
"Pallab",
""
],
[
"Krishnan",
"Chethan",
""
],
[
"Subramanian",
"P. N. Bala",
""
]
] |
We do a systematic study of the phases of gravity coupled to an electromagnetic field and charged scalar in flat space, with box boundary conditions. The scalar-less box has previously been investigated by Braden, Brown, Whiting and York (and others) before AdS/CFT and we elaborate and extend their results in a language more familiar from holography. The phase diagram of the system is analogous to that of AdS black holes, but we emphasize the differences and explain their origin. Once the scalar is added, we show that the system admits both boson stars as well as hairy black holes as solutions, providing yet another way to evade flat space no-hair theorems. Furthermore both these solutions can exist as stable phases in regions of the phase diagram. The final picture of the phases that emerges is strikingly similar to that found recently for holographic superconductors in global AdS, arXiv: 1602.07211. Our construction lays bare certain previously unnoticed subtleties associated to the definition quasi-local charges for gravitating scalar fields in finite regions.
|
hep-th/0409183
|
Niall MacKay
|
N. J. Mackay
|
Introduction to Yangian symmetry in integrable field theory
|
Lectures given at 'String theory in curved backgrounds and boundary
conformal field theory', Erwin Schroedinger Instutute, Vienna, June 2004.
References added in v4
|
Int.J.Mod.Phys. A20 (2005) 7189-7218
|
10.1142/S0217751X05022317
|
ESI 1514
|
hep-th
| null |
Three introductory lectures: on Yangians and their representations; on
Yangian symmetry in 1+1D integrable (bulk) field theory; and on the effect of a
boundary upon this symmetry.
|
[
{
"created": "Fri, 17 Sep 2004 11:06:33 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Feb 2005 13:47:53 GMT",
"version": "v2"
},
{
"created": "Mon, 7 Mar 2005 18:13:15 GMT",
"version": "v3"
},
{
"created": "Thu, 7 Feb 2008 15:32:03 GMT",
"version": "v4"
}
] |
2009-11-10
|
[
[
"Mackay",
"N. J.",
""
]
] |
Three introductory lectures: on Yangians and their representations; on Yangian symmetry in 1+1D integrable (bulk) field theory; and on the effect of a boundary upon this symmetry.
|
1111.0459
|
Hadi Godazgar
|
David S. Berman, Hadi Godazgar, Malcolm J. Perry, Peter West
|
Duality Invariant Actions and Generalised Geometry
|
59 pages (typos fixed and added comments)
| null |
10.1007/JHEP02(2012)108
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct the non-linear realisation of the semi-direct product of E(11)
and its first fundamental representation at lowest order and appropriate to
spacetime dimensions four to seven. This leads to a non-linear realisation of
the duality groups and introduces fields that depend on a generalised space
which possess a generalised vielbein. We focus on the part of the generalised
space on which the duality groups alone act and construct an invariant action.
|
[
{
"created": "Wed, 2 Nov 2011 11:05:59 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Dec 2011 16:49:47 GMT",
"version": "v2"
}
] |
2015-06-03
|
[
[
"Berman",
"David S.",
""
],
[
"Godazgar",
"Hadi",
""
],
[
"Perry",
"Malcolm J.",
""
],
[
"West",
"Peter",
""
]
] |
We construct the non-linear realisation of the semi-direct product of E(11) and its first fundamental representation at lowest order and appropriate to spacetime dimensions four to seven. This leads to a non-linear realisation of the duality groups and introduces fields that depend on a generalised space which possess a generalised vielbein. We focus on the part of the generalised space on which the duality groups alone act and construct an invariant action.
|
2205.12030
|
Renata Ferrero
|
Renata Ferrero and Martin Reuter
|
On the possibility of a novel (A)dS/CFT relationship emerging in
Asymptotic Safety
|
47 pages, 10 figures; further remarks and explanations added, title
changed
| null |
10.1007/JHEP12(2022)118
|
MITP-22-029
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Quantum Einstein Gravity (QEG), nonperturbatively renormalized by means of a
certain asymptotically safe renormalization group (RG) trajectory, is explored
by solving its scale dependent effective field equations and embedding the
family of emerging 4-dimensional spacetimes into a single 5-dimensional
manifold, which thus encodes the complete information about all scales. By
construction the latter manifold is furnished with a natural foliation.
Heuristically, its leaves are interpreted as physical spacetime observed on
different scales of the experimental resolution. Generalizing earlier work on
the embedding of $d$-dimensional Euclidean QEG spacetimes in $(d +
1)$-dimensional flat or Ricci flat manifolds, we admit Lorentzian signature in
this paper and we consider embeddings in arbitrary $(d + 1)$-dimensional
Einstein spaces. Special attention is paid to the sector of maximally symmetric
metrics, and the fundamental definition of QEG in $d = 4$ that employs the
cross-over trajectory connecting the non-Gaussian to the Gaussian RG fixed
point. Concerning the embedding of the resulting family of 4D de Sitter
solutions with a running Hubble parameter, we find that there are only two
possible 5D spacetimes, namely the anti-de Sitter manifold AdS$_5$ and the de
Sitter manifold dS$_5$. To arrive at this result essential use is made of the
monotone scale dependence of the running cosmological constant featured by the
gravitational effective average action. We show that if the scale invariance of
the QEG fixed points extends to full conformal invariance, the 5D picture of
the resulting geometric and field theoretic structure displays a novel kind of
"AdS/CFT correspondence". While strongly reminiscent of the usual string
theory-based AdS/CFT correspondence, also clear differences are found.
|
[
{
"created": "Tue, 24 May 2022 12:29:22 GMT",
"version": "v1"
},
{
"created": "Wed, 25 May 2022 16:46:07 GMT",
"version": "v2"
},
{
"created": "Sat, 1 Oct 2022 10:51:44 GMT",
"version": "v3"
}
] |
2023-01-18
|
[
[
"Ferrero",
"Renata",
""
],
[
"Reuter",
"Martin",
""
]
] |
Quantum Einstein Gravity (QEG), nonperturbatively renormalized by means of a certain asymptotically safe renormalization group (RG) trajectory, is explored by solving its scale dependent effective field equations and embedding the family of emerging 4-dimensional spacetimes into a single 5-dimensional manifold, which thus encodes the complete information about all scales. By construction the latter manifold is furnished with a natural foliation. Heuristically, its leaves are interpreted as physical spacetime observed on different scales of the experimental resolution. Generalizing earlier work on the embedding of $d$-dimensional Euclidean QEG spacetimes in $(d + 1)$-dimensional flat or Ricci flat manifolds, we admit Lorentzian signature in this paper and we consider embeddings in arbitrary $(d + 1)$-dimensional Einstein spaces. Special attention is paid to the sector of maximally symmetric metrics, and the fundamental definition of QEG in $d = 4$ that employs the cross-over trajectory connecting the non-Gaussian to the Gaussian RG fixed point. Concerning the embedding of the resulting family of 4D de Sitter solutions with a running Hubble parameter, we find that there are only two possible 5D spacetimes, namely the anti-de Sitter manifold AdS$_5$ and the de Sitter manifold dS$_5$. To arrive at this result essential use is made of the monotone scale dependence of the running cosmological constant featured by the gravitational effective average action. We show that if the scale invariance of the QEG fixed points extends to full conformal invariance, the 5D picture of the resulting geometric and field theoretic structure displays a novel kind of "AdS/CFT correspondence". While strongly reminiscent of the usual string theory-based AdS/CFT correspondence, also clear differences are found.
|
2206.10951
|
Takuya Yoda
|
Koji Hashimoto, Yoshinori Matsuo, Takuya Yoda
|
String is a double slit
|
19 pages, 10 figures
| null | null |
KUNS-2932
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We perform imaging of a fundamental string from string scattering amplitudes,
and show that its image is a double slit.
|
[
{
"created": "Wed, 22 Jun 2022 09:45:23 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Aug 2022 16:03:28 GMT",
"version": "v2"
}
] |
2022-08-18
|
[
[
"Hashimoto",
"Koji",
""
],
[
"Matsuo",
"Yoshinori",
""
],
[
"Yoda",
"Takuya",
""
]
] |
We perform imaging of a fundamental string from string scattering amplitudes, and show that its image is a double slit.
|
0709.4651
|
Dam Thanh Son
|
D.T.Son
|
Comment on "Is There a "Most Perfect Fluid" Consistent with Quantum
Field Theory?"
|
1 page, comment on hep-th/0702136
|
Phys.Rev.Lett.100:029101,2008
|
10.1103/PhysRevLett.100.029101
|
INT PUB 07-25
|
hep-th hep-ph nucl-th
| null |
This is a comment on hep-th/0702136
|
[
{
"created": "Fri, 28 Sep 2007 19:10:28 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Son",
"D. T.",
""
]
] |
This is a comment on hep-th/0702136
|
hep-th/0206123
|
Takeshi Oota
|
H. Itoyama and T. Oota
|
Normalization of Off-shell Boundary State, g-function and Zeta Function
Regularization
|
21 pages, LaTeX, comments and 3 new references added
|
J.Phys.A35:9395-9412,2002
|
10.1088/0305-4470/35/44/309
|
OCU-PHYS 187, KEK-TH-829
|
hep-th
| null |
We consider the model in two dimensions with boundary quadratic deformation
(BQD), which has been discussed in tachyon condensation. The partition function
of this model (BQD) on a cylinder is determined, using the method of zeta
function regularization. We show that, for closed channel partition function, a
subtraction procedure must be introduced in order to reproduce the correct
results at conformal points. The boundary entropy (g-function) is determined
from the partition function and the off-shell boundary state. We propose and
consider a supersymmetric generalization of BQD model, which includes a
boundary fermion mass term, and check the validity of the subtraction
procedure.
|
[
{
"created": "Fri, 14 Jun 2002 07:13:25 GMT",
"version": "v1"
},
{
"created": "Sun, 23 Jun 2002 13:34:03 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Itoyama",
"H.",
""
],
[
"Oota",
"T.",
""
]
] |
We consider the model in two dimensions with boundary quadratic deformation (BQD), which has been discussed in tachyon condensation. The partition function of this model (BQD) on a cylinder is determined, using the method of zeta function regularization. We show that, for closed channel partition function, a subtraction procedure must be introduced in order to reproduce the correct results at conformal points. The boundary entropy (g-function) is determined from the partition function and the off-shell boundary state. We propose and consider a supersymmetric generalization of BQD model, which includes a boundary fermion mass term, and check the validity of the subtraction procedure.
|
hep-th/0305242
|
Hong Lu
|
H. Lu, C.N. Pope and E. Sezgin
|
Yang-Mills-Chern-Simons Supergravity
|
Latex, 22 pages, hep-th number corrected
|
Class.Quant.Grav.21:2733-2748,2004
|
10.1088/0264-9381/21/11/015
| null |
hep-th
| null |
N=(1,0) supergravity in six dimensions admits AdS_3\times S^3 as a vacuum
solution. We extend our recent results presented in hep-th/0212323, by
obtaining the complete N=4 Yang-Mills-Chern-Simons supergravity in D=3, up to
quartic fermion terms, by S^3 group manifold reduction of the six dimensional
theory. The SU(2) gauge fields have Yang-Mills kinetic terms as well as
topological Chern-Simons mass terms. There is in addition a triplet of matter
vectors. After diagonalisation, these fields describe two triplets of
topologically-massive vector fields of opposite helicities. The model also
contains six scalars, described by a GL(3,R)/SO(3) sigma model. It provides the
first example of a three-dimensional gauged supergravity that can obtained by a
consistent reduction of string-theory or M-theory and that admits AdS_3 as a
vacuum solution. There are unusual features in the reduction from
six-dimensional supergravity, owing to the self-duality condition on the 3-form
field. The structure of the full equations of motion in N=(1,0) supergravity in
D=6 is also elucidated, and the role of the self-dual field strength as torsion
is exhibited.
|
[
{
"created": "Tue, 27 May 2003 21:55:47 GMT",
"version": "v1"
},
{
"created": "Thu, 29 May 2003 15:12:29 GMT",
"version": "v2"
}
] |
2009-10-07
|
[
[
"Lu",
"H.",
""
],
[
"Pope",
"C. N.",
""
],
[
"Sezgin",
"E.",
""
]
] |
N=(1,0) supergravity in six dimensions admits AdS_3\times S^3 as a vacuum solution. We extend our recent results presented in hep-th/0212323, by obtaining the complete N=4 Yang-Mills-Chern-Simons supergravity in D=3, up to quartic fermion terms, by S^3 group manifold reduction of the six dimensional theory. The SU(2) gauge fields have Yang-Mills kinetic terms as well as topological Chern-Simons mass terms. There is in addition a triplet of matter vectors. After diagonalisation, these fields describe two triplets of topologically-massive vector fields of opposite helicities. The model also contains six scalars, described by a GL(3,R)/SO(3) sigma model. It provides the first example of a three-dimensional gauged supergravity that can obtained by a consistent reduction of string-theory or M-theory and that admits AdS_3 as a vacuum solution. There are unusual features in the reduction from six-dimensional supergravity, owing to the self-duality condition on the 3-form field. The structure of the full equations of motion in N=(1,0) supergravity in D=6 is also elucidated, and the role of the self-dual field strength as torsion is exhibited.
|
hep-th/0110107
|
Arkady Tseytlin
|
J.G. Russo and A.A. Tseytlin
|
Supersymmetric fluxbrane intersections and closed string tachyons
|
26 pages, harvmac. v3: reference added, minor changes in appendix
|
JHEP 0111:065,2001
|
10.1088/1126-6708/2001/11/065
| null |
hep-th
| null |
We consider NS-NS superstring model with several ``magnetic'' parameters
$b_s$ (s=1, ...,N) associated with twists mixing a compact $S^1$ direction with
angles in $N$ spatial 2-planes of flat 10-dimensional space. It generalizes the
Kaluza-Klein Melvin model which has single parameter $b$. The corresponding
U-dual background is a R-R type IIA solution describing an orthogonal
intersection of $N$ flux 7-branes. Like the Melvin model, the NS-NS string
model with $N$ continuous parameters is explicitly solvable; we present its
perturbative spectrum and torus partition function explicitly for the N=2 case.
For generic $b_s$ (above some critical values) there are tachyons in the $S^1$
winding sector. A remarkable feature of this model is that while in the Melvin
N=1 case all supersymmetry is broken, a fraction of it may be preserved for $N
>1$ by making a special choice of the parameters $b_s$. Such solvable NS-NS
models may be viewed as continuous-parameter analogs of non-compact orbifold
models. They and their U-dual R-R fluxbrane counterparts may have some
``phenomenological'' applications. In particular, in N=3 case one finds a
special 1/4 supersymmetric R-R 3-brane background. Putting Dp-branes in flat
twisted NS-NS backgrounds leads to world-volume gauge theories with reduced
amount of supersymmetry. We also discuss possible ways of evolution of unstable
backgrounds towards stable ones.
|
[
{
"created": "Thu, 11 Oct 2001 19:18:34 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Oct 2001 19:55:10 GMT",
"version": "v2"
},
{
"created": "Fri, 19 Oct 2001 19:21:56 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Russo",
"J. G.",
""
],
[
"Tseytlin",
"A. A.",
""
]
] |
We consider NS-NS superstring model with several ``magnetic'' parameters $b_s$ (s=1, ...,N) associated with twists mixing a compact $S^1$ direction with angles in $N$ spatial 2-planes of flat 10-dimensional space. It generalizes the Kaluza-Klein Melvin model which has single parameter $b$. The corresponding U-dual background is a R-R type IIA solution describing an orthogonal intersection of $N$ flux 7-branes. Like the Melvin model, the NS-NS string model with $N$ continuous parameters is explicitly solvable; we present its perturbative spectrum and torus partition function explicitly for the N=2 case. For generic $b_s$ (above some critical values) there are tachyons in the $S^1$ winding sector. A remarkable feature of this model is that while in the Melvin N=1 case all supersymmetry is broken, a fraction of it may be preserved for $N >1$ by making a special choice of the parameters $b_s$. Such solvable NS-NS models may be viewed as continuous-parameter analogs of non-compact orbifold models. They and their U-dual R-R fluxbrane counterparts may have some ``phenomenological'' applications. In particular, in N=3 case one finds a special 1/4 supersymmetric R-R 3-brane background. Putting Dp-branes in flat twisted NS-NS backgrounds leads to world-volume gauge theories with reduced amount of supersymmetry. We also discuss possible ways of evolution of unstable backgrounds towards stable ones.
|
1404.2299
|
Ashok Das
|
Ashok K. Das and J. Frenkel
|
Large time behavior in an exactly soluble out of equilibrium model
|
5 pages
|
Physical Review D 89, 087701 (2014)
|
10.1103/PhysRevD.89.087701
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the behavior of out of equilibrium retarded, advanced and correlated
Green's functions within the context of an exactly soluble (quenched) model. We
show, to the lowest order, that even though the pinch singularities cancel,
there is a residual linear dependence on the time interval (after the quench)
in the correlated Green's function which may invalidate perturbation theory. We
sum the perturbation series to all orders in this simple model and show
explicitly that the complete Green's functions are well behaved even for large
time intervals. The exact form of the correlated Green's function allows us to
extract a manifestly positive distribution function, for large times after the
quench, which has a memory of the frequency of the initial system before the
quench.
|
[
{
"created": "Tue, 8 Apr 2014 20:31:54 GMT",
"version": "v1"
}
] |
2015-06-19
|
[
[
"Das",
"Ashok K.",
""
],
[
"Frenkel",
"J.",
""
]
] |
We study the behavior of out of equilibrium retarded, advanced and correlated Green's functions within the context of an exactly soluble (quenched) model. We show, to the lowest order, that even though the pinch singularities cancel, there is a residual linear dependence on the time interval (after the quench) in the correlated Green's function which may invalidate perturbation theory. We sum the perturbation series to all orders in this simple model and show explicitly that the complete Green's functions are well behaved even for large time intervals. The exact form of the correlated Green's function allows us to extract a manifestly positive distribution function, for large times after the quench, which has a memory of the frequency of the initial system before the quench.
|
hep-th/0007190
|
Alexandre C. Tort
|
C. Farina, F.C. Santos and A.C. Tort
|
The non-retarded dispersive force between an electrically polarizable
atom and a magnetically polarizable one
|
8 pages, no figures. ScientificWord RevTex
| null | null | null |
hep-th physics.atom-ph
| null |
Using perturbative QED we show that, while the retarded dispersive force
between an electrically polarizable atom and a magnetically polarizable one is
proportional to $1/r^{8}$, where $r$ is the distance between the atoms, the
non-retarded force is proportiaonal to $1/r^{5}$. This is a rather surprising
result that should be compared with the dispersive van der Waals force between
two electrically polarizable atoms, where the retarded force is also
proportional to $1/r^{8}$, but the non-retarded force is proportional to
$1/r^{7}$.
|
[
{
"created": "Mon, 24 Jul 2000 19:37:28 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Farina",
"C.",
""
],
[
"Santos",
"F. C.",
""
],
[
"Tort",
"A. C.",
""
]
] |
Using perturbative QED we show that, while the retarded dispersive force between an electrically polarizable atom and a magnetically polarizable one is proportional to $1/r^{8}$, where $r$ is the distance between the atoms, the non-retarded force is proportiaonal to $1/r^{5}$. This is a rather surprising result that should be compared with the dispersive van der Waals force between two electrically polarizable atoms, where the retarded force is also proportional to $1/r^{8}$, but the non-retarded force is proportional to $1/r^{7}$.
|
hep-th/9505098
| null |
Luis E. Ibanez
|
Strings, Unification and dilaton/moduli-induced SUSY-breaking
|
Few missprints fixed; reference added
| null | null |
FTUAM-95-15
|
hep-th hep-ph
| null |
I discuss several issues concerning the use of string models as unified
theories of all interactions. After a short review of gauge coupling
unification in the string context, I discuss possible motivations for the
construction of $SU(5)$ and $SO(10)$ String-GUTs. I describe the construction
of such String-GUTs using different orbifold techniques and emphasize those
properties which could be general. Although $SO(10)$ and $SU(5)$ String-GUTs
are relatively easy to build, the spectrum bellow the GUT scale is in general
bigger than that of the MSSM and includes colour octets and $SU(2)$ triplets.
The phenomenological prospects of these theories are discussed. I then turn to
discuss soft SUSY-breaking terms obtained under the assumption of
dilaton/moduli dominance in SUSY-breaking string schemes. I underline the
unique finiteness pr of the soft terms induced by the dilaton sector. These
improved finiteness properties seem to be related to the underlying $SU(1,1)$
structure of the dilaton couplings. I conclude with an outlook and some
speculations regarding $N=1$ duality.
|
[
{
"created": "Tue, 16 May 1995 16:17:36 GMT",
"version": "v1"
},
{
"created": "Wed, 24 May 1995 09:28:54 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Ibanez",
"Luis E.",
""
]
] |
I discuss several issues concerning the use of string models as unified theories of all interactions. After a short review of gauge coupling unification in the string context, I discuss possible motivations for the construction of $SU(5)$ and $SO(10)$ String-GUTs. I describe the construction of such String-GUTs using different orbifold techniques and emphasize those properties which could be general. Although $SO(10)$ and $SU(5)$ String-GUTs are relatively easy to build, the spectrum bellow the GUT scale is in general bigger than that of the MSSM and includes colour octets and $SU(2)$ triplets. The phenomenological prospects of these theories are discussed. I then turn to discuss soft SUSY-breaking terms obtained under the assumption of dilaton/moduli dominance in SUSY-breaking string schemes. I underline the unique finiteness pr of the soft terms induced by the dilaton sector. These improved finiteness properties seem to be related to the underlying $SU(1,1)$ structure of the dilaton couplings. I conclude with an outlook and some speculations regarding $N=1$ duality.
|
hep-th/0603194
|
Michael Sarrazin
|
Michael Sarrazin, Fabrice Petit
|
Matter localization and resonant deconfinement in a two-sheeted
spacetime
|
9 pages, 1 figure. Published version. Accepted for publication in
Int. J. of Modern Physics A
|
Int.J.Mod.Phys.A22:2629-2642,2007
|
10.1142/S0217751X07036774
| null |
hep-th gr-qc hep-ph
| null |
In recent papers, a model of a two-sheeted spacetime M4XZ2 was introduced and
the quantum dynamics of massive fermions was studied in this framework. In the
present study, we show that the physical predictions of the model are perfectly
consistent with observations and most important, it can solve the puzzling
problem of the four-dimensional localization of the fermion species in
multidimensional spacetimes. It is demonstrated that fermion localization on
the sheets arises from the combination of the discrete bulk structure and
environmental interactions. The mechanism described in this paper can be seen
as an alternative to the domain wall localization arising in continuous five
dimensional spacetimes. Although tightly constrained, motions between the
sheets are, however, not completely prohibited. As an illustration, a resonant
mechanism through which fermion oscillations between the sheets might occur is
described.
|
[
{
"created": "Fri, 24 Mar 2006 18:46:53 GMT",
"version": "v1"
},
{
"created": "Mon, 21 May 2007 20:03:26 GMT",
"version": "v2"
},
{
"created": "Wed, 11 Jul 2007 17:04:28 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Sarrazin",
"Michael",
""
],
[
"Petit",
"Fabrice",
""
]
] |
In recent papers, a model of a two-sheeted spacetime M4XZ2 was introduced and the quantum dynamics of massive fermions was studied in this framework. In the present study, we show that the physical predictions of the model are perfectly consistent with observations and most important, it can solve the puzzling problem of the four-dimensional localization of the fermion species in multidimensional spacetimes. It is demonstrated that fermion localization on the sheets arises from the combination of the discrete bulk structure and environmental interactions. The mechanism described in this paper can be seen as an alternative to the domain wall localization arising in continuous five dimensional spacetimes. Although tightly constrained, motions between the sheets are, however, not completely prohibited. As an illustration, a resonant mechanism through which fermion oscillations between the sheets might occur is described.
|
1802.08815
|
Wu-zhong Guo
|
Wu-zhong Guo, Song He, Zhu-Xi Luo
|
Entanglement entropy in (1+1)D CFTs with multiple local excitations
|
JHEP version, add more physical discussions on the results
|
JHEP 1805 (2018) 154
|
10.1007/JHEP05(2018)154
| null |
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we use the replica approach to study the R\'enyi entropy $S_L$
of generic locally excited states in (1+1)D CFTs, which are constructed from
the insertion of multiple product of local primary operators on vacuum.
Alternatively, one can calculate the R\'enyi entropy $S_R$ corresponding to the
same states using Schmidt decomposition and operator product expansion, which
reduces the multiple product of local primary operators to linear combination
of operators. The equivalence $S_L=S_R$ translates into an identity in terms of
the $F$ symbols and quantum dimensions for rational CFT, and the latter can be
proved algebraically. This, along with a series of papers, gives a complete
picture of how the quantum information quantities and the intrinsic structure
of (1+1)D CFTs are consistently related.
|
[
{
"created": "Sat, 24 Feb 2018 07:54:14 GMT",
"version": "v1"
},
{
"created": "Sun, 11 Mar 2018 02:29:47 GMT",
"version": "v2"
},
{
"created": "Wed, 20 Jun 2018 04:12:03 GMT",
"version": "v3"
}
] |
2018-06-21
|
[
[
"Guo",
"Wu-zhong",
""
],
[
"He",
"Song",
""
],
[
"Luo",
"Zhu-Xi",
""
]
] |
In this paper, we use the replica approach to study the R\'enyi entropy $S_L$ of generic locally excited states in (1+1)D CFTs, which are constructed from the insertion of multiple product of local primary operators on vacuum. Alternatively, one can calculate the R\'enyi entropy $S_R$ corresponding to the same states using Schmidt decomposition and operator product expansion, which reduces the multiple product of local primary operators to linear combination of operators. The equivalence $S_L=S_R$ translates into an identity in terms of the $F$ symbols and quantum dimensions for rational CFT, and the latter can be proved algebraically. This, along with a series of papers, gives a complete picture of how the quantum information quantities and the intrinsic structure of (1+1)D CFTs are consistently related.
|
1110.3803
|
Carlos Hoyos Badajoz
|
Masanori Hanada, Carlos Hoyos and Andreas Karch
|
Generating new dualities through the orbifold equivalence: a
demonstration in ABJM and four-dimensional quivers
|
18 pages, 7 figures, minor changes and references added
| null |
10.1007/JHEP01(2012)068
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the recently proposed large $N$ equivalence between ABJM
theories with Chern-Simons terms of different rank and level,
U(N_1)_{k_1}\times U(N_1)_{-k_1} and U(N_2)_{k_2}\times U(N_2)_{-k_2}, but the
same value of N' =N_1 k_1=N_2 k_2, can be explained using planar equivalence in
the mirror duals. The combination of S-dualities and orbifold equivalence can
be applied to other cases as well, with very appealing results. As an example
we show that two different quiver theories with k nodes can be easily shown to
be Seiberg dual through the orbifold equivalence, but it requires order k^2
steps to give a proof when Seiberg duality is performed node by node.
|
[
{
"created": "Mon, 17 Oct 2011 20:08:16 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Nov 2011 19:47:30 GMT",
"version": "v2"
}
] |
2015-05-30
|
[
[
"Hanada",
"Masanori",
""
],
[
"Hoyos",
"Carlos",
""
],
[
"Karch",
"Andreas",
""
]
] |
We show that the recently proposed large $N$ equivalence between ABJM theories with Chern-Simons terms of different rank and level, U(N_1)_{k_1}\times U(N_1)_{-k_1} and U(N_2)_{k_2}\times U(N_2)_{-k_2}, but the same value of N' =N_1 k_1=N_2 k_2, can be explained using planar equivalence in the mirror duals. The combination of S-dualities and orbifold equivalence can be applied to other cases as well, with very appealing results. As an example we show that two different quiver theories with k nodes can be easily shown to be Seiberg dual through the orbifold equivalence, but it requires order k^2 steps to give a proof when Seiberg duality is performed node by node.
|
1412.5591
|
Jonathan Braden
|
Jonathan Braden, J. Richard Bond, Laura Mersini-Houghton
|
Cosmic bubble and domain wall instabilities I: parametric amplification
of linear fluctuations
|
37 pages + references, 20 figures, submitted to JCAP
|
JCAP 1503 (2015) no.03, 007
|
10.1088/1475-7516/2015/03/007
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This is the first paper in a series where we study collisions of nucleated
bubbles taking into account the effects of small initial (quantum) fluctuations
in a fully 3+1-dimensional setting. In this paper, we consider the evolution of
linear fluctuations around highly symmetric though inhomogeneous backgrounds.
We demonstrate that a large degree of asymmetry develops over time from tiny
fluctuations superposed upon planar and SO(2,1) symmetric backgrounds. These
fluctuations arise from zero-point vacuum oscillations, so excluding them by
enforcing a spatial symmetry is inconsistent in a quantum treatment. We
consider the limit of two colliding planar walls, with fluctuation mode
functions characterized by the wavenumber transverse to the collision direction
and a longitudinal shape along the collision direction $x$, which we solve for.
Initially, the fluctuations obey a linear wave equation with a time- and
space-dependent mass $m_{eff}(x,t)$. When the walls collide multiple times,
$m_{eff}$ oscillates in time. We use Floquet theory to study the fluctuations
and generalize techniques familiar from preheating to the case with many
coupled degrees of freedom. This inhomogeneous case has bands of unstable
transverse wavenumbers $k_\perp$ with exponentially growing mode functions.
From the detailed spatial structure of the mode functions in $x$, we identify
both broad and narrow parametric resonance generalizations of the homogeneous
$m_{eff}(t)$ case of preheating. The unstable $k_\perp$ modes are
longitudinally localized, yet can be described as quasiparticles in the
Bogoliubov sense. We define an effective occupation number to show they are
created in bursts for the case of well-defined collisions in the background.
The transverse-longitudinal coupling accompanying nonlinearity radically breaks
this localized particle description, with nonseparable 3D modes arising.
|
[
{
"created": "Wed, 17 Dec 2014 21:00:10 GMT",
"version": "v1"
}
] |
2017-11-09
|
[
[
"Braden",
"Jonathan",
""
],
[
"Bond",
"J. Richard",
""
],
[
"Mersini-Houghton",
"Laura",
""
]
] |
This is the first paper in a series where we study collisions of nucleated bubbles taking into account the effects of small initial (quantum) fluctuations in a fully 3+1-dimensional setting. In this paper, we consider the evolution of linear fluctuations around highly symmetric though inhomogeneous backgrounds. We demonstrate that a large degree of asymmetry develops over time from tiny fluctuations superposed upon planar and SO(2,1) symmetric backgrounds. These fluctuations arise from zero-point vacuum oscillations, so excluding them by enforcing a spatial symmetry is inconsistent in a quantum treatment. We consider the limit of two colliding planar walls, with fluctuation mode functions characterized by the wavenumber transverse to the collision direction and a longitudinal shape along the collision direction $x$, which we solve for. Initially, the fluctuations obey a linear wave equation with a time- and space-dependent mass $m_{eff}(x,t)$. When the walls collide multiple times, $m_{eff}$ oscillates in time. We use Floquet theory to study the fluctuations and generalize techniques familiar from preheating to the case with many coupled degrees of freedom. This inhomogeneous case has bands of unstable transverse wavenumbers $k_\perp$ with exponentially growing mode functions. From the detailed spatial structure of the mode functions in $x$, we identify both broad and narrow parametric resonance generalizations of the homogeneous $m_{eff}(t)$ case of preheating. The unstable $k_\perp$ modes are longitudinally localized, yet can be described as quasiparticles in the Bogoliubov sense. We define an effective occupation number to show they are created in bursts for the case of well-defined collisions in the background. The transverse-longitudinal coupling accompanying nonlinearity radically breaks this localized particle description, with nonseparable 3D modes arising.
|
2301.07957
|
Gu Xia
|
Xia Gu, Babak Haghighat
|
Liouville conformal blocks and Stokes phenomena
|
25 pages, 14 figures
| null | null | null |
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we derive braid group representations and Stokes matrices for
Liouville conformal blocks with one irregular operator. By employing the
Coulomb gas formalism, the corresponding conformal blocks can be interpreted as
wavefunctions of a Landau-Ginzburg model specified by a superpotential
$\mathcal{W}$. Alternatively, these can also be viewed as wavefunctions of a 3d
TQFT on a 3-ball with boundary a 2-sphere on which the operator insertions
represent Anyons whose fusion rules describe novel topological phases of
matter.
|
[
{
"created": "Thu, 19 Jan 2023 09:12:37 GMT",
"version": "v1"
},
{
"created": "Sun, 21 Jan 2024 07:32:18 GMT",
"version": "v2"
}
] |
2024-01-23
|
[
[
"Gu",
"Xia",
""
],
[
"Haghighat",
"Babak",
""
]
] |
In this work we derive braid group representations and Stokes matrices for Liouville conformal blocks with one irregular operator. By employing the Coulomb gas formalism, the corresponding conformal blocks can be interpreted as wavefunctions of a Landau-Ginzburg model specified by a superpotential $\mathcal{W}$. Alternatively, these can also be viewed as wavefunctions of a 3d TQFT on a 3-ball with boundary a 2-sphere on which the operator insertions represent Anyons whose fusion rules describe novel topological phases of matter.
|
hep-th/0410141
|
Martin Olsson
|
Ulf H. Danielsson, Martin E. Olsson, Marcel Vonk
|
Matrix models, 4D black holes and topological strings on non-compact
Calabi-Yau manifolds
|
42 pages, 10 figures. v2: Minor corrections and clarifications added.
References added
|
JHEP0411:007,2004
|
10.1088/1126-6708/2004/11/007
|
UUITP-22/04
|
hep-th
| null |
We study the relation between c=1 matrix models at self-dual radii and
topological strings on non-compact Calabi-Yau manifolds. In particular the
special case of the deformed matrix model is investigated in detail. Using
recent results on the equivalence of the partition function of topological
strings and that of four dimensional BPS black holes, we are able to calculate
the entropy of the black holes, using matrix models. In particular, we show how
to deal with the divergences that arise as a result of the non-compactness of
the Calabi-Yau. The main result is that the entropy of the black hole at zero
temperature coincides with the canonical free energy of the matrix model, up to
a proportionality constant given by the self-dual temperature of the matrix
model.
|
[
{
"created": "Tue, 12 Oct 2004 19:29:36 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Nov 2004 17:38:56 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Danielsson",
"Ulf H.",
""
],
[
"Olsson",
"Martin E.",
""
],
[
"Vonk",
"Marcel",
""
]
] |
We study the relation between c=1 matrix models at self-dual radii and topological strings on non-compact Calabi-Yau manifolds. In particular the special case of the deformed matrix model is investigated in detail. Using recent results on the equivalence of the partition function of topological strings and that of four dimensional BPS black holes, we are able to calculate the entropy of the black holes, using matrix models. In particular, we show how to deal with the divergences that arise as a result of the non-compactness of the Calabi-Yau. The main result is that the entropy of the black hole at zero temperature coincides with the canonical free energy of the matrix model, up to a proportionality constant given by the self-dual temperature of the matrix model.
|
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