id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1601.06577 | Marek Rogatko | Marek Rogatko | Uniqueness of dilaton Melvin-Schwarzschild solution | 8 pages, RevTex, to be published in Phys.Rev.D15 | Phys.Rev.D93, 044008 (2016) | 10.1103/PhysRevD.93.044008 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the dilaton Melvin-Schwarzschild black hole is the only
asymptotically dilaton Melvin static axisymmetric solution of Einstein-Maxwell
dilaton equations of motion.
| [
{
"created": "Mon, 25 Jan 2016 12:41:35 GMT",
"version": "v1"
}
] | 2016-03-23 | [
[
"Rogatko",
"Marek",
""
]
] | We show that the dilaton Melvin-Schwarzschild black hole is the only asymptotically dilaton Melvin static axisymmetric solution of Einstein-Maxwell dilaton equations of motion. |
hep-th/0502031 | Maria Emilia Guimaraes | A. A. Bytsenko (DF/UEL), M. E. X. Guimaraes (MAT/UnB) and J. A.
Helayel-Neto (CBPF/MCT, Rio de Janeiro) | Hyperbolic Space Forms and Orbifold Compactification in M-Theory | 11 pages. Work presented at the "Fourth International Winter
Conference on Mathematical Methods in Physics", 09-13 August 2004, Rio de
Janeiro, Brazil | PoS WC2004 (2004) 017 | null | null | hep-th | null | We analyze solutions of string theory and supergravity which involve real
hyperbolic spaces. Examples of string compactifications are given in terms of
hyperbolic coset spaces of finite volume $\Gamma\backslash {\mathbb H}^N$,
where $\Gamma$ is a discrete group of isometries of ${\mathbb H}^N$. We
describe finite flux and the tensor kernel associated with hyperbolic spaces.
The case of arithmetic geometry of $\Gamma = SL(2, {\mathbb Z}+i{\mathbb
Z})/\{\pm Id\}$, where $Id$ is the identity matrix, is analyzed. We discuss
supersymmetry surviving for supergravity solutions involving real hyperbolic
space factors, string-supergravity correspondence and holography principle for
a class of conformal field theories.
| [
{
"created": "Wed, 2 Feb 2005 19:39:06 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Bytsenko",
"A. A.",
"",
"DF/UEL"
],
[
"Guimaraes",
"M. E. X.",
"",
"MAT/UnB"
],
[
"Helayel-Neto",
"J. A.",
"",
"CBPF/MCT, Rio de Janeiro"
]
] | We analyze solutions of string theory and supergravity which involve real hyperbolic spaces. Examples of string compactifications are given in terms of hyperbolic coset spaces of finite volume $\Gamma\backslash {\mathbb H}^N$, where $\Gamma$ is a discrete group of isometries of ${\mathbb H}^N$. We describe finite flux and the tensor kernel associated with hyperbolic spaces. The case of arithmetic geometry of $\Gamma = SL(2, {\mathbb Z}+i{\mathbb Z})/\{\pm Id\}$, where $Id$ is the identity matrix, is analyzed. We discuss supersymmetry surviving for supergravity solutions involving real hyperbolic space factors, string-supergravity correspondence and holography principle for a class of conformal field theories. |
1406.5639 | Kenichi Konishi | Chandrasekhar Chatterjee and Kenichi Konishi | Monopole-vortex complex at large distances and nonAbelian duality | 36 pages, 4 figures | null | 10.1007/JHEP09(2014)039 | IFUP-TH/2014-16 | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the large-distance approximation of the monopole-vortex complex
soliton in a hierarchically broken gauge system, SU(N+1) - > SU(N) x U(1) - >
1, in a color-flavor locked SU(N) symmetric vacuum. The ('t Hooft-Polyakov)
monopole of the higher-mass-scale breaking appears as a point and acts as a
source of the thin vortex generated by the lower-energy gauge symmetry
breaking. The exact color-flavor diagonal symmetry of the bulk system is broken
by each individual soliton, leading to nonAbelian orientational CP^{N-1}
zeromodes propagating in the vortex worldsheet, well studied in the literature.
But since the vortex ends at the monopoles these fluctuating modes endow the
monopoles with a local SU(N) charge. This phenomenon is studied by performing
the duality transformation in the presence of the CP^{N-1} moduli space. The
effective action is a CP^{N-1} model defined on a finite-width worldstrip.
| [
{
"created": "Sat, 21 Jun 2014 18:07:30 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Jul 2014 14:22:42 GMT",
"version": "v2"
}
] | 2015-06-22 | [
[
"Chatterjee",
"Chandrasekhar",
""
],
[
"Konishi",
"Kenichi",
""
]
] | We discuss the large-distance approximation of the monopole-vortex complex soliton in a hierarchically broken gauge system, SU(N+1) - > SU(N) x U(1) - > 1, in a color-flavor locked SU(N) symmetric vacuum. The ('t Hooft-Polyakov) monopole of the higher-mass-scale breaking appears as a point and acts as a source of the thin vortex generated by the lower-energy gauge symmetry breaking. The exact color-flavor diagonal symmetry of the bulk system is broken by each individual soliton, leading to nonAbelian orientational CP^{N-1} zeromodes propagating in the vortex worldsheet, well studied in the literature. But since the vortex ends at the monopoles these fluctuating modes endow the monopoles with a local SU(N) charge. This phenomenon is studied by performing the duality transformation in the presence of the CP^{N-1} moduli space. The effective action is a CP^{N-1} model defined on a finite-width worldstrip. |
1401.4024 | Rubakov Valery | V.A. Rubakov | The Null Energy Condition and its violation | Mini-review, prepared for Physics Uspekhi, references added | null | 10.3367/UFNe.0184.201402b.0137 | INR-TH-2014-1 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give a mini-review of scalar field theories with second-derivative
Lagrangians, whose field equations are second order. Some of these theories
admit solutions violating the Null Energy Condition and having no obvious
pathologies. We give a few examples of using these theories in cosmological
setting and also in the context of the creation of a universe in the
laboratory.
| [
{
"created": "Thu, 16 Jan 2014 13:41:06 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Feb 2014 15:14:11 GMT",
"version": "v2"
}
] | 2015-06-18 | [
[
"Rubakov",
"V. A.",
""
]
] | We give a mini-review of scalar field theories with second-derivative Lagrangians, whose field equations are second order. Some of these theories admit solutions violating the Null Energy Condition and having no obvious pathologies. We give a few examples of using these theories in cosmological setting and also in the context of the creation of a universe in the laboratory. |
1912.07222 | Evgeny Buchbinder | Evgeny I. Buchbinder, Andre Lukas, Burt A. Ovrut, Fabian Ruehle | Heterotic Instantons for Monad and Extension Bundles | 39 pages | null | 10.1007/JHEP02(2020)081 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider non-perturbative superpotentials from world-sheet instantons
wrapped on holomorphic genus zero curves in heterotic string theory. These
superpotential contributions feature prominently in moduli stabilization and
large field axion inflation, which makes their presence or absence, as well as
their functional dependence on moduli, an important issue. We develop geometric
methods to compute the instanton superpotentials for heterotic string theory
with monad and extension bundles. Using our methods, we find a variety of
examples with a non-vanishing superpotential. In view of standard vanishing
theorems, we speculate that these results are likely to be attributed to the
non-compactness of the instanton moduli space. We test this proposal, for the
case of monad bundles, by considering gauged linear sigma models where
compactness of the instanton moduli space can be explicitly checked. In all
such cases, we find that the geometric results are consistent with the
vanishing theorems. Surprisingly, linearly dependent Pfaffians even arise for
cases with a non-compact instanton moduli space. This suggests some gauged
linear sigma models with a non-compact instanton moduli space may still have a
vanishing instanton superpotential.
| [
{
"created": "Mon, 16 Dec 2019 07:17:25 GMT",
"version": "v1"
}
] | 2020-03-18 | [
[
"Buchbinder",
"Evgeny I.",
""
],
[
"Lukas",
"Andre",
""
],
[
"Ovrut",
"Burt A.",
""
],
[
"Ruehle",
"Fabian",
""
]
] | We consider non-perturbative superpotentials from world-sheet instantons wrapped on holomorphic genus zero curves in heterotic string theory. These superpotential contributions feature prominently in moduli stabilization and large field axion inflation, which makes their presence or absence, as well as their functional dependence on moduli, an important issue. We develop geometric methods to compute the instanton superpotentials for heterotic string theory with monad and extension bundles. Using our methods, we find a variety of examples with a non-vanishing superpotential. In view of standard vanishing theorems, we speculate that these results are likely to be attributed to the non-compactness of the instanton moduli space. We test this proposal, for the case of monad bundles, by considering gauged linear sigma models where compactness of the instanton moduli space can be explicitly checked. In all such cases, we find that the geometric results are consistent with the vanishing theorems. Surprisingly, linearly dependent Pfaffians even arise for cases with a non-compact instanton moduli space. This suggests some gauged linear sigma models with a non-compact instanton moduli space may still have a vanishing instanton superpotential. |
2101.12582 | Sayantan Choudhury | Sayantan Choudhury, Sachin Panneer Selvam, K. Shirish | Circuit Complexity From Supersymmetric Quantum Field Theory With Morse
Function | 41 pages, 10 figures, 4 tables, This project is the part of the
non-profit virtual international research consortium "Quantum Aspects of
Space-Time and Matter (QASTM)", Revised version, References and some of the
explanations elaborated and updated, Accepted for publication in Symmetry | Symmetry 14 (2022) no. 8, 1656 | 10.3390/sym14081656 | null | hep-th cond-mat.dis-nn cs.CC nlin.CD quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Computation of circuit complexity has gained much attention in the
Theoretical Physics community in recent times to gain insights into the chaotic
features and random fluctuations of fields in the quantum regime. Recent
studies of circuit complexity take inspiration from Nielsen's geometric
approach, which is based on the idea of optimal quantum control in which a cost
function is introduced for the various possible path to determine the optimum
circuit. In this paper, we study the relationship between the circuit
complexity and Morse theory within the framework of algebraic topology, which
will then help us study circuit complexity in supersymmetric quantum field
theory describing both simple and inverted harmonic oscillators up to higher
orders of quantum corrections. We will restrict ourselves to $\mathcal{N} = 1$
supersymmetry with one fermionic generator $Q_{\alpha}$. The expression of
circuit complexity in quantum regime would then be given by the Hessian of the
Morse function in supersymmetric quantum field theory. We also provide
technical proof of the well known universal connecting relation between quantum
chaos and circuit complexity of the supersymmetric quantum field theories,
using the general description of Morse theory.
| [
{
"created": "Mon, 25 Jan 2021 19:26:45 GMT",
"version": "v1"
},
{
"created": "Sun, 2 May 2021 14:17:18 GMT",
"version": "v2"
},
{
"created": "Thu, 11 Aug 2022 05:23:36 GMT",
"version": "v3"
}
] | 2022-08-12 | [
[
"Choudhury",
"Sayantan",
""
],
[
"Selvam",
"Sachin Panneer",
""
],
[
"Shirish",
"K.",
""
]
] | Computation of circuit complexity has gained much attention in the Theoretical Physics community in recent times to gain insights into the chaotic features and random fluctuations of fields in the quantum regime. Recent studies of circuit complexity take inspiration from Nielsen's geometric approach, which is based on the idea of optimal quantum control in which a cost function is introduced for the various possible path to determine the optimum circuit. In this paper, we study the relationship between the circuit complexity and Morse theory within the framework of algebraic topology, which will then help us study circuit complexity in supersymmetric quantum field theory describing both simple and inverted harmonic oscillators up to higher orders of quantum corrections. We will restrict ourselves to $\mathcal{N} = 1$ supersymmetry with one fermionic generator $Q_{\alpha}$. The expression of circuit complexity in quantum regime would then be given by the Hessian of the Morse function in supersymmetric quantum field theory. We also provide technical proof of the well known universal connecting relation between quantum chaos and circuit complexity of the supersymmetric quantum field theories, using the general description of Morse theory. |
1109.5523 | Sanjay Siwach | Shobhit Sachan and Sanjay Siwach | Thermodynamics of soft wall AdS/QCD at finite chemical potential | revised version, to appear in MPLA | Mod. Phys. Lett. A, Vol. 27, No. 28 (2012) 1250163 | 10.1142/S0217732312501635 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the thermodynamics of soft wall model in AdS/QCD framework. The low
temperature phase of QCD is described by thermal AdS and high temperature phase
by AdS Black hole solution of five dimensional gravity with negative
cosmological constant. The chemical potential is introduced via the solution of
U(1) vector field in the bulk. The difference of action densities in two phases
is studied and the results are compared with hard wall model. The quark number
susceptibility is also calculated in both the models.
| [
{
"created": "Mon, 26 Sep 2011 11:28:09 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Aug 2012 04:24:09 GMT",
"version": "v2"
}
] | 2012-08-31 | [
[
"Sachan",
"Shobhit",
""
],
[
"Siwach",
"Sanjay",
""
]
] | We study the thermodynamics of soft wall model in AdS/QCD framework. The low temperature phase of QCD is described by thermal AdS and high temperature phase by AdS Black hole solution of five dimensional gravity with negative cosmological constant. The chemical potential is introduced via the solution of U(1) vector field in the bulk. The difference of action densities in two phases is studied and the results are compared with hard wall model. The quark number susceptibility is also calculated in both the models. |
hep-th/0306223 | Sergio De Filippo | Sergio De Filippo, Filippo Maimone | Relativistic generalizations of gravity-induced localization models | RevTex, 10 pages | Phys.Lett. B584 (2004) 141-146 | 10.1016/j.physletb.2004.01.031 | null | hep-th | null | Nonunitary versions of Newtonian gravity leading to wavefunction localization
admit natural special-relativistic generalizations. They include the first
consistent relativistic localization models. At variance with the unified model
of localization and gravity, the purely localizing version requires negative
energy fields, which however are less harmful than usual and can be used to
build ultraviolet-finite theories.
| [
{
"created": "Mon, 23 Jun 2003 14:49:14 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"De Filippo",
"Sergio",
""
],
[
"Maimone",
"Filippo",
""
]
] | Nonunitary versions of Newtonian gravity leading to wavefunction localization admit natural special-relativistic generalizations. They include the first consistent relativistic localization models. At variance with the unified model of localization and gravity, the purely localizing version requires negative energy fields, which however are less harmful than usual and can be used to build ultraviolet-finite theories. |
1006.3604 | Hideki Maeda | Hideki Maeda, Mokhtar Hassaine and Cristian Martinez | Magnetic black holes with higher-order curvature and gauge corrections
in even dimensions | 22 pages, 4 figures; v2, typos corrected, references added, style
changed, published version in JHEP | JHEP 1008:123,2010 | 10.1007/JHEP08(2010)123 | CECS-PHY-10/09 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We obtain magnetic black-hole solutions in arbitrary $n(\ge 4)$ even
dimensions for an action given by the Einstein-Gauss-Bonnet-Maxwell-$\Lambda$
pieces with the $F^4$ gauge-correction terms. This action arises in the low
energy limit of heterotic string theory with constant dilaton and vanishing
higher form fields. The spacetime is assumed to be a warped product ${\ma
M}^{2} \times {\ma K}^{n-2}$, where ${\ma K}^{n-2}$ is a $(n-2)$-dimensional
Einstein space satisfying a condition on its Weyl tensor, originally considered
by Dotti and Gleiser. Under a few reasonable assumptions, we establish the
generalized Jebsen-Birkhoff theorem for the magnetic solution in the case where
the orbit of the warp factor on ${\ma K}^{n-2}$ is non-null. We prove that such
magnetic solutions do not exist in odd dimensions. In contrast, in even
dimensions, we obtain an explicit solution in the case where ${\ma K}^{n-2}$ is
a product manifold of $(n-2)/2$ two-dimensional maximally symmetric spaces with
the same constant warp factors. In this latter case, we show that the global
structure of the spacetime sharply depends on the existence of the
gauge-correction terms as well as the number of spacetime dimensions.
| [
{
"created": "Fri, 18 Jun 2010 04:31:24 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Aug 2010 00:12:02 GMT",
"version": "v2"
}
] | 2011-03-23 | [
[
"Maeda",
"Hideki",
""
],
[
"Hassaine",
"Mokhtar",
""
],
[
"Martinez",
"Cristian",
""
]
] | We obtain magnetic black-hole solutions in arbitrary $n(\ge 4)$ even dimensions for an action given by the Einstein-Gauss-Bonnet-Maxwell-$\Lambda$ pieces with the $F^4$ gauge-correction terms. This action arises in the low energy limit of heterotic string theory with constant dilaton and vanishing higher form fields. The spacetime is assumed to be a warped product ${\ma M}^{2} \times {\ma K}^{n-2}$, where ${\ma K}^{n-2}$ is a $(n-2)$-dimensional Einstein space satisfying a condition on its Weyl tensor, originally considered by Dotti and Gleiser. Under a few reasonable assumptions, we establish the generalized Jebsen-Birkhoff theorem for the magnetic solution in the case where the orbit of the warp factor on ${\ma K}^{n-2}$ is non-null. We prove that such magnetic solutions do not exist in odd dimensions. In contrast, in even dimensions, we obtain an explicit solution in the case where ${\ma K}^{n-2}$ is a product manifold of $(n-2)/2$ two-dimensional maximally symmetric spaces with the same constant warp factors. In this latter case, we show that the global structure of the spacetime sharply depends on the existence of the gauge-correction terms as well as the number of spacetime dimensions. |
1506.03320 | Alexander Kegeles | Alexander Kegeles and Daniele Oriti | Generalised conservation laws in non-local field theories | 24 pages | Journal of Physics A: Mathematical and Theoretical, Volume 49,
Number 13, 2016 | null | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a geometrical treatment of symmetries in non-local field theories,
where the non-locality is due to a lack of identification of field arguments in
the action. We show that the existence of a symmetry of the action leads to a
generalised conservation law, in which the usual conserved current acquires an
additional non-local correction term, obtaining a generalisation of the
standard Noether theorem. We illustrate the general formalism by discussing the
specific physical example of complex scalar field theory of the type describing
the hydrodynamic approximation of Bose-Einstein condensates. We expect our
analysis and results to be of particular interest for the group field theory
formulation of quantum gravity.
| [
{
"created": "Wed, 10 Jun 2015 14:18:58 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Mar 2016 17:29:00 GMT",
"version": "v2"
}
] | 2016-03-07 | [
[
"Kegeles",
"Alexander",
""
],
[
"Oriti",
"Daniele",
""
]
] | We propose a geometrical treatment of symmetries in non-local field theories, where the non-locality is due to a lack of identification of field arguments in the action. We show that the existence of a symmetry of the action leads to a generalised conservation law, in which the usual conserved current acquires an additional non-local correction term, obtaining a generalisation of the standard Noether theorem. We illustrate the general formalism by discussing the specific physical example of complex scalar field theory of the type describing the hydrodynamic approximation of Bose-Einstein condensates. We expect our analysis and results to be of particular interest for the group field theory formulation of quantum gravity. |
hep-th/0504205 | Andrei Barvinsky | A.O.Barvinsky | The Gospel according to DeWitt revisited: quantum effective action in
braneworld models | LaTeX, 14 pages, talk given at Bryce DeWitt memorial session of the
International Conference on Theoretical Physics, 70 years Jubilee of the
I.E.Tamm Theory Department of the Lebedev Physics Institute, Moscow, April
11-16, 2005 | null | null | null | hep-th | null | We construct quantum effective action in spacetimes with branes (boundaries)
and establish its relation to the "cosmological wave function" of the bulk --
the solution of the corresponding Wheeler-DeWitt equation which can be
considered as a means of the holographic description of braneworld models. We
show that for a special type of the bulk-brane gauge fixing procedure the
one-loop part of the action decouples into the additive sum of brane-to-brane
and bulk-to-bulk effective actions, and this decomposition proliferates in a
special way in higher orders of the Feynman diagrammatic expansion. This
property is based on a special duality relation between the Dirichlet and
Neumann boundary value problems when applied to the functional determinants of
wave operators and the field-theoretic version of the well-known semiclassical
Van Vleck-Morette determinant. It facilitates the gauge-independent way of
treating the strong-coupling and VDVZ problems in brane induced gravity models.
Importance of this technique in various implications of braneworld theory and
infrared modifications of Einstein theory is briefly discussed.
| [
{
"created": "Mon, 25 Apr 2005 20:49:37 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Barvinsky",
"A. O.",
""
]
] | We construct quantum effective action in spacetimes with branes (boundaries) and establish its relation to the "cosmological wave function" of the bulk -- the solution of the corresponding Wheeler-DeWitt equation which can be considered as a means of the holographic description of braneworld models. We show that for a special type of the bulk-brane gauge fixing procedure the one-loop part of the action decouples into the additive sum of brane-to-brane and bulk-to-bulk effective actions, and this decomposition proliferates in a special way in higher orders of the Feynman diagrammatic expansion. This property is based on a special duality relation between the Dirichlet and Neumann boundary value problems when applied to the functional determinants of wave operators and the field-theoretic version of the well-known semiclassical Van Vleck-Morette determinant. It facilitates the gauge-independent way of treating the strong-coupling and VDVZ problems in brane induced gravity models. Importance of this technique in various implications of braneworld theory and infrared modifications of Einstein theory is briefly discussed. |
2102.01253 | Rong-Xin Miao | Ruiping Guo and Rong-Xin Miao | Enhancement of Anomalous Boundary Current by High Temperature | 16 pages, 6 figures,references added, minor revision accepted for
publication in EPJC | null | 10.1140/epjc/s10052-021-09540-8 | null | hep-th cond-mat.other | http://creativecommons.org/licenses/by/4.0/ | Recently it is found that Weyl anomaly leads to novel anomalous currents in
the spacetime with a boundary. However, the anomalous current is suppressed by
the mass of charge carriers and the distance to the boundary, which makes it
difficult to be measured. In this paper, we explore the possible mechanisms for
the enhancement of anomalous currents. Interestingly, we find that the
anomalous current can be significantly enhanced by the high temperature, which
makes easier the experimental detection. For free theories, the anomalous
current is proportional to the temperature in the high temperature limit. Note
that the currents can be enhanced by thermal effects only at high temperatures.
In general, this is not the case at low temperatures. For general temperatures,
the absolute value of the current of Neumann boundary condition first decreases
and then increases with the temperature, while the current of Dirichlet
boundary condition always increases with the temperature. It should be
mentioned that the enhancement does not have an anomalous nature. In fact, the
so-called anomalous current in this paper is not always related to Weyl
anomaly. Instead, it is an anomalous effect due to the boundary.
| [
{
"created": "Tue, 2 Feb 2021 01:44:50 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Aug 2021 12:15:28 GMT",
"version": "v2"
}
] | 2021-09-15 | [
[
"Guo",
"Ruiping",
""
],
[
"Miao",
"Rong-Xin",
""
]
] | Recently it is found that Weyl anomaly leads to novel anomalous currents in the spacetime with a boundary. However, the anomalous current is suppressed by the mass of charge carriers and the distance to the boundary, which makes it difficult to be measured. In this paper, we explore the possible mechanisms for the enhancement of anomalous currents. Interestingly, we find that the anomalous current can be significantly enhanced by the high temperature, which makes easier the experimental detection. For free theories, the anomalous current is proportional to the temperature in the high temperature limit. Note that the currents can be enhanced by thermal effects only at high temperatures. In general, this is not the case at low temperatures. For general temperatures, the absolute value of the current of Neumann boundary condition first decreases and then increases with the temperature, while the current of Dirichlet boundary condition always increases with the temperature. It should be mentioned that the enhancement does not have an anomalous nature. In fact, the so-called anomalous current in this paper is not always related to Weyl anomaly. Instead, it is an anomalous effect due to the boundary. |
2203.04811 | Claudio Dappiaggi | Claudio Dappiaggi, Benito A. Ju\'arez-Aubry, Alessio Marta | Ground State for the Klein-Gordon field in anti-de Sitter spacetime with
dynamical Wentzell boundary conditions | 14 pages, 1 figure | null | 10.1103/PhysRevD.105.105017 | null | hep-th gr-qc math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | We consider a real Klein-Gordon field in the Poincar\'e patch of
$(d+1)$-dimensional anti-de Sitter spacetime, PAdS$_{d+1}$, and impose
dynamical boundary condition on the asymptotic boundary of PAdS$_{d+1}$ that
depend explicitly on the second time derivative of the field at the boundary.
These boundary conditions are of generalized Wentzell type. We construct the
Wightman two-point function for the ground state of the Klein-Gordon theory
whenever the parameters of the theory (the field mass, curvature coupling and
boundary condition parameters) render such ground state admissible. In the
cases in which the mass of the Klein-Gordon field and the curvature coupling
term yield an effectively massless theory, we can define a boundary field whose
dynamics are ruled by the dynamical boundary condition and construct, in
addition to the Wightman function for the Klein-Gordon field,
boundary-to-boundary, boundary-to-bulk and bulk-to-boundary propagators.
| [
{
"created": "Wed, 9 Mar 2022 15:41:18 GMT",
"version": "v1"
}
] | 2022-06-01 | [
[
"Dappiaggi",
"Claudio",
""
],
[
"Juárez-Aubry",
"Benito A.",
""
],
[
"Marta",
"Alessio",
""
]
] | We consider a real Klein-Gordon field in the Poincar\'e patch of $(d+1)$-dimensional anti-de Sitter spacetime, PAdS$_{d+1}$, and impose dynamical boundary condition on the asymptotic boundary of PAdS$_{d+1}$ that depend explicitly on the second time derivative of the field at the boundary. These boundary conditions are of generalized Wentzell type. We construct the Wightman two-point function for the ground state of the Klein-Gordon theory whenever the parameters of the theory (the field mass, curvature coupling and boundary condition parameters) render such ground state admissible. In the cases in which the mass of the Klein-Gordon field and the curvature coupling term yield an effectively massless theory, we can define a boundary field whose dynamics are ruled by the dynamical boundary condition and construct, in addition to the Wightman function for the Klein-Gordon field, boundary-to-boundary, boundary-to-bulk and bulk-to-boundary propagators. |
hep-th/0312184 | Arne Lykke Larsen | A.L. Larsen and A. Khan | Novel Explicit Multi Spin String Solitons in AdS(5) | latex, 15 pages | Nucl.Phys. B686 (2004) 75-84 | 10.1016/j.nuclphysb.2004.03.004 | null | hep-th | null | We find new explicit solutions describing closed strings spinning with equal
angular momentum in two independent planes in AdS(5). These are 2N-folded
strings in the radial direction and also winding M times around an angular
direction. Thus in spacetime they consist of 2N segments. Solutions fulfilling
the closed string periodicity conditions exist provided N/M>2, i.e. the strings
must be folded at least six times in the radial coordinate. The strings are
spinning, or actually orbiting, similarly to solutions found previously in
black hole spacetimes, but unlike the one-spin solutions in AdS which spin
around their center. For long strings we recover the logaritmic scaling
relation between energy and spin known from the one-spin case, but different
from other known two-spin cases.
| [
{
"created": "Tue, 16 Dec 2003 14:56:01 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Larsen",
"A. L.",
""
],
[
"Khan",
"A.",
""
]
] | We find new explicit solutions describing closed strings spinning with equal angular momentum in two independent planes in AdS(5). These are 2N-folded strings in the radial direction and also winding M times around an angular direction. Thus in spacetime they consist of 2N segments. Solutions fulfilling the closed string periodicity conditions exist provided N/M>2, i.e. the strings must be folded at least six times in the radial coordinate. The strings are spinning, or actually orbiting, similarly to solutions found previously in black hole spacetimes, but unlike the one-spin solutions in AdS which spin around their center. For long strings we recover the logaritmic scaling relation between energy and spin known from the one-spin case, but different from other known two-spin cases. |
1306.2518 | Adil Belhaj Rogani | A. Belhaj, M. Chabab, H. EL Moumni, K. Masmar, M. B. Sedra | Critical Behaviors of 3D Black Holes with a Scalar Hair | 11 pages, 4 figures(eps), latex, major revision. Accepted for
publication in IJGMMP. Updated references and another additional author | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The principal focus of the present work concerns the critical behaviors of a
class of three dimensional black holes with a scalar field hair. Since the
cosmological constant is viewed as a thermodynamic pressure and its conjugate
quantity as a volume, we examine such properties in terms of two parameters B
and a. The latters are related to the scalar field and the angular momentum
respectively. In particular, we give the equation of state predicting a
critical universal number depending on the (B,a) moduli space. In the vanishing
limit of the B parameter, we recover the usual perfect gas behavior appearing
in the case of the non rotating BTZ black hole. We point out that in a generic
region of the (B,a) moduli space, the model behaves like a Van der Waals
system.
| [
{
"created": "Tue, 11 Jun 2013 13:35:47 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Oct 2014 15:26:58 GMT",
"version": "v2"
}
] | 2014-10-20 | [
[
"Belhaj",
"A.",
""
],
[
"Chabab",
"M.",
""
],
[
"Moumni",
"H. EL",
""
],
[
"Masmar",
"K.",
""
],
[
"Sedra",
"M. B.",
""
]
] | The principal focus of the present work concerns the critical behaviors of a class of three dimensional black holes with a scalar field hair. Since the cosmological constant is viewed as a thermodynamic pressure and its conjugate quantity as a volume, we examine such properties in terms of two parameters B and a. The latters are related to the scalar field and the angular momentum respectively. In particular, we give the equation of state predicting a critical universal number depending on the (B,a) moduli space. In the vanishing limit of the B parameter, we recover the usual perfect gas behavior appearing in the case of the non rotating BTZ black hole. We point out that in a generic region of the (B,a) moduli space, the model behaves like a Van der Waals system. |
hep-th/9805050 | Hyung Won Lee | H.W. Lee, N.J. Kim and Y.S. Myung (Inje University) | Dilaton test of connection between AdS_3 X S^3 and 5D black hole | revised version to appear in classical and quantum gravity, 15 pages
with RevTeX | Class.Quant.Grav.17:113-122,2000 | 10.1088/0264-9381/17/1/308 | INJE-TP-98-5 | hep-th | null | A 5D black hole(M$_5$) is investigated in the type IIB superstring theory
compactified on S$^1 \times $T$^4$. This corresponds to AdS$_3 \times $S$^3
\times $T$^4$ in the near horizon with asymptotically flat space. Here the
harmonic gauge is introduced to decouple the mixing between the dilaton and
others. On the other hand we obtain the BTZ balck
hole(AdS$_3\times$S$^3\times$T$^4$) as the non-dilatonic solution. We calculate
the greybody factor of the dilaton as a test scalar both for a 5D black
hole(M$_5 \times $S$^1 \times $T$^4$) and the BTZ black hole(AdS$_3 \times
$S$^3 \times $T$^4$). The result of the BTZ black hole agrees with the greybody
factor of the dilaton in the dilute gas approximation of a 5D black hole.
| [
{
"created": "Mon, 11 May 1998 10:01:17 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Jul 1998 01:43:54 GMT",
"version": "v2"
},
{
"created": "Tue, 11 Aug 1998 05:37:32 GMT",
"version": "v3"
},
{
"created": "Mon, 18 Oct 1999 07:26:44 GMT",
"version": "v4"
}
] | 2014-11-18 | [
[
"Lee",
"H. W.",
"",
"Inje University"
],
[
"Kim",
"N. J.",
"",
"Inje University"
],
[
"Myung",
"Y. S.",
"",
"Inje University"
]
] | A 5D black hole(M$_5$) is investigated in the type IIB superstring theory compactified on S$^1 \times $T$^4$. This corresponds to AdS$_3 \times $S$^3 \times $T$^4$ in the near horizon with asymptotically flat space. Here the harmonic gauge is introduced to decouple the mixing between the dilaton and others. On the other hand we obtain the BTZ balck hole(AdS$_3\times$S$^3\times$T$^4$) as the non-dilatonic solution. We calculate the greybody factor of the dilaton as a test scalar both for a 5D black hole(M$_5 \times $S$^1 \times $T$^4$) and the BTZ black hole(AdS$_3 \times $S$^3 \times $T$^4$). The result of the BTZ black hole agrees with the greybody factor of the dilaton in the dilute gas approximation of a 5D black hole. |
hep-th/9412179 | Nathan Berkovits P. | Nathan Berkovits | Vanishing Theorems for the Self-Dual N=2 String | 8 pages tex | Phys.Lett. B350 (1995) 28-32 | 10.1016/0370-2693(95)00308-8 | IFUSP-P-1134 | hep-th | null | It is proven that up to possible surface terms, the only non-vanishing
momentum-dependent amplitudes for the self-dual N=2 string in $R^{2,2}$ are the
tree-level two and three-point functions, and the only non-vanishing
momentum-independent amplitudes are the one-loop partition function and the
tree-level two and four-point functions. The calculations are performed using
the topological prescription developed in an earlier paper with Vafa. As in
supersymmetric non-renormalization theorems, the vanishing proof is based on a
relationship between the zero-momentum dilaton and axion.
| [
{
"created": "Tue, 20 Dec 1994 14:22:54 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Berkovits",
"Nathan",
""
]
] | It is proven that up to possible surface terms, the only non-vanishing momentum-dependent amplitudes for the self-dual N=2 string in $R^{2,2}$ are the tree-level two and three-point functions, and the only non-vanishing momentum-independent amplitudes are the one-loop partition function and the tree-level two and four-point functions. The calculations are performed using the topological prescription developed in an earlier paper with Vafa. As in supersymmetric non-renormalization theorems, the vanishing proof is based on a relationship between the zero-momentum dilaton and axion. |
2105.02279 | Eduardo Guendelman I | E.I.Guendelman | Escaping the Hagedorn Temperature in Cosmology and Warped Spaces with
Dynamical Tension Strings | 17 pages, a reference added, more comments added and a short section
added as well. arXiv admin note: substantial text overlap with
arXiv:2104.08875 | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | In the modified measure formulation the string tension appear as an
additional dynamical degree of freedom and these tensions are not universal,
but rather each string generates its own tension, which can have a different
value for each string. We consider new background field that can couple to
these strings, the tension scalar is capable of changing locally along the
world sheet the value of the tension of the extended object. When many types of
strings probing the same region of space are considered this tension scalar is
constrained by the requirement of quantum conformal invariance. For the case of
two types of strings probing the same region of space with different
dynamically generated tensions, there are two different metrics, associated to
the different strings, that have to satisfy vacuum Einsteins equations and the
consistency of these two equation determines the tension scalar. In a previous
paper we studied solutions that completely avoid singularities, but with
positive and negative tensions strings. In this paper we will consider only
positive tension strings for the cosmological case and for warped space time .
In both of these cases there is a region where the string tensions approach
infinity, in the cosmological case this takes place in the early universe while
in the warped case, for some value of the warping coordinate and since the
Hagedorn temperature is proportional the the string tension, we get this way
string scenarios with no limiting Hagedorn temperature in the early universe
and this opens the possibility of a string cosmology without a Hgedorn phase
transition through all of its history . Similar situation can take place in a
warped space time, for this case, assuming the string have a tendency to avoid
regions with lower Hagedorn temperature, we obtain a mechanism for condensation
of strings into a surface at high temperatures.
| [
{
"created": "Wed, 5 May 2021 18:44:31 GMT",
"version": "v1"
},
{
"created": "Fri, 7 May 2021 12:45:09 GMT",
"version": "v2"
}
] | 2021-05-10 | [
[
"Guendelman",
"E. I.",
""
]
] | In the modified measure formulation the string tension appear as an additional dynamical degree of freedom and these tensions are not universal, but rather each string generates its own tension, which can have a different value for each string. We consider new background field that can couple to these strings, the tension scalar is capable of changing locally along the world sheet the value of the tension of the extended object. When many types of strings probing the same region of space are considered this tension scalar is constrained by the requirement of quantum conformal invariance. For the case of two types of strings probing the same region of space with different dynamically generated tensions, there are two different metrics, associated to the different strings, that have to satisfy vacuum Einsteins equations and the consistency of these two equation determines the tension scalar. In a previous paper we studied solutions that completely avoid singularities, but with positive and negative tensions strings. In this paper we will consider only positive tension strings for the cosmological case and for warped space time . In both of these cases there is a region where the string tensions approach infinity, in the cosmological case this takes place in the early universe while in the warped case, for some value of the warping coordinate and since the Hagedorn temperature is proportional the the string tension, we get this way string scenarios with no limiting Hagedorn temperature in the early universe and this opens the possibility of a string cosmology without a Hgedorn phase transition through all of its history . Similar situation can take place in a warped space time, for this case, assuming the string have a tendency to avoid regions with lower Hagedorn temperature, we obtain a mechanism for condensation of strings into a surface at high temperatures. |
1311.5606 | Ely David Kovetz | Anindya Dey, Ely D. Kovetz and Sonia Paban | Power Spectrum and Non-Gaussianities in Anisotropic Inflation | 26 pages, 2 figures; version published in JCAP | JCAP 06, 025 (2014) | 10.1088/1475-7516/2014/06/025 | UTTG-35-13; TCC-029-13 | hep-th astro-ph.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the planar regime of curvature perturbations for single field
inflationary models in an axially symmetric Bianchi I background. In a theory
with standard scalar field action, the power spectrum for such modes has a pole
as the planarity parameter goes to zero. We show that constraints from back
reaction lead to a strong lower bound on the planarity parameter for
high-momentum planar modes and use this bound to calculate the signal-to-noise
ratio of the anisotropic power spectrum in the CMB, which in turn places an
upper bound on the Hubble scale during inflation allowed in our model. We find
that non-Gaussianities for these planar modes are enhanced for the flattened
triangle and the squeezed triangle configurations, but show that the estimated
values of the f_NL parameters remain well below the experimental bounds from
the CMB for generic planar modes (other, more promising signatures are also
discussed). For a standard action, f_NL from the squeezed configuration turns
out to be larger compared to that from the flattened triangle configuration in
the planar regime. However, in a theory with higher derivative operators,
non-Gaussianities from the flattened triangle can become larger than the
squeezed configuration in a certain limit of the planarity parameter.
| [
{
"created": "Thu, 21 Nov 2013 22:44:58 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Jun 2014 15:56:46 GMT",
"version": "v2"
}
] | 2014-06-13 | [
[
"Dey",
"Anindya",
""
],
[
"Kovetz",
"Ely D.",
""
],
[
"Paban",
"Sonia",
""
]
] | We study the planar regime of curvature perturbations for single field inflationary models in an axially symmetric Bianchi I background. In a theory with standard scalar field action, the power spectrum for such modes has a pole as the planarity parameter goes to zero. We show that constraints from back reaction lead to a strong lower bound on the planarity parameter for high-momentum planar modes and use this bound to calculate the signal-to-noise ratio of the anisotropic power spectrum in the CMB, which in turn places an upper bound on the Hubble scale during inflation allowed in our model. We find that non-Gaussianities for these planar modes are enhanced for the flattened triangle and the squeezed triangle configurations, but show that the estimated values of the f_NL parameters remain well below the experimental bounds from the CMB for generic planar modes (other, more promising signatures are also discussed). For a standard action, f_NL from the squeezed configuration turns out to be larger compared to that from the flattened triangle configuration in the planar regime. However, in a theory with higher derivative operators, non-Gaussianities from the flattened triangle can become larger than the squeezed configuration in a certain limit of the planarity parameter. |
hep-th/0212098 | Amer Iqbal | Amer Iqbal, Vadim S. Kaplunovsky | Quantum Deconstruction of a 5D SYM and its Moduli Space | 46 Pages | JHEP 0405 (2004) 013 | 10.1088/1126-6708/2004/05/013 | UTTG-14-02, HUTP-02/A063 | hep-th | null | We deconstruct the fifth dimension of the 5D SYM theory with SU(M) gauge
symmetry and Chern-Simons level k=M and show how the 5D moduli space follows
from the non-perturbative analysis of the 4D quiver theory. The 5D coupling
h=1/(g_5)^2 of the un-broken SU(M) is allowed to take any non-negative values,
but it cannot be continued to h<0 and there are no transitions to other phases
of the theory. The alternative UV completions of the same 5D SYM -- via M
theory on the C^3/Z_2M orbifold or via the dual five-brane web in type IIB
string theory -- have identical moduli spaces: h >= 0 only, and no flop
transitions. We claim these are intrinsic properties of the SU(M) SYM theory
with k=M.
| [
{
"created": "Mon, 9 Dec 2002 22:57:44 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Iqbal",
"Amer",
""
],
[
"Kaplunovsky",
"Vadim S.",
""
]
] | We deconstruct the fifth dimension of the 5D SYM theory with SU(M) gauge symmetry and Chern-Simons level k=M and show how the 5D moduli space follows from the non-perturbative analysis of the 4D quiver theory. The 5D coupling h=1/(g_5)^2 of the un-broken SU(M) is allowed to take any non-negative values, but it cannot be continued to h<0 and there are no transitions to other phases of the theory. The alternative UV completions of the same 5D SYM -- via M theory on the C^3/Z_2M orbifold or via the dual five-brane web in type IIB string theory -- have identical moduli spaces: h >= 0 only, and no flop transitions. We claim these are intrinsic properties of the SU(M) SYM theory with k=M. |
hep-th/0305185 | Akihiro Ishibashi | Akihiro Ishibashi (Univ. of Cambridge) and Hideo Kodama (Kyoto Univ.) | Stability of Higher-Dimensional Schwarzschild Black Holes | 19 pages, 9 figures, references and comments on the generalised black
hole case are added, minor changes in text, version to appear in PTP | Prog.Theor.Phys. 110 (2003) 901-919 | 10.1143/PTP.110.901 | null | hep-th gr-qc | null | We investigate the classical stability of the higher-dimensional
Schwarzschild black holes against linear perturbations, in the framework of a
gauge-invariant formalism for gravitational perturbations of maximally
symmetric black holes, recently developed by the authors. The perturbations are
classified into the tensor, vector, and scalar-type modes according to their
tensorial behaviour on the spherical section of the background metric, where
the last two modes correspond respectively to the axial- and the polar-mode in
the four-dimensional situation. We show that, for each mode of the
perturbations, the spatial derivative part of the master equation is a
positive, self-adjoint operator in the $L^2$-Hilbert space, hence that the
master equation for each tensorial type of perturbations does not admit
normalisable negative-modes which would describe unstable solutions.
On the same Schwarzschild background, we also analyse the static perturbation
of the scalar mode, and show that there exists no static perturbation which is
regular everywhere outside the event horizon and well-behaved at spatial
infinity. This checks the uniqueness of the higher-dimensional spherically
symmetric, static, vacuum black hole, within the perturbation framework.
Our strategy for the stability problem is also applicable to the other
higher-dimensional maximally symmetric black holes with non-vanishing
cosmological constant. We show that all possible types of maximally symmetric
black holes (thus, including the higher-dimensional Schwarzschild-de Sitter and
Schwarzschild-anti-de Sitter black holes) are stable against the tensor and the
vector perturbations.
| [
{
"created": "Tue, 20 May 2003 20:00:30 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Jun 2003 12:15:52 GMT",
"version": "v2"
},
{
"created": "Thu, 23 Oct 2003 15:32:58 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Ishibashi",
"Akihiro",
"",
"Univ. of Cambridge"
],
[
"Kodama",
"Hideo",
"",
"Kyoto Univ."
]
] | We investigate the classical stability of the higher-dimensional Schwarzschild black holes against linear perturbations, in the framework of a gauge-invariant formalism for gravitational perturbations of maximally symmetric black holes, recently developed by the authors. The perturbations are classified into the tensor, vector, and scalar-type modes according to their tensorial behaviour on the spherical section of the background metric, where the last two modes correspond respectively to the axial- and the polar-mode in the four-dimensional situation. We show that, for each mode of the perturbations, the spatial derivative part of the master equation is a positive, self-adjoint operator in the $L^2$-Hilbert space, hence that the master equation for each tensorial type of perturbations does not admit normalisable negative-modes which would describe unstable solutions. On the same Schwarzschild background, we also analyse the static perturbation of the scalar mode, and show that there exists no static perturbation which is regular everywhere outside the event horizon and well-behaved at spatial infinity. This checks the uniqueness of the higher-dimensional spherically symmetric, static, vacuum black hole, within the perturbation framework. Our strategy for the stability problem is also applicable to the other higher-dimensional maximally symmetric black holes with non-vanishing cosmological constant. We show that all possible types of maximally symmetric black holes (thus, including the higher-dimensional Schwarzschild-de Sitter and Schwarzschild-anti-de Sitter black holes) are stable against the tensor and the vector perturbations. |
hep-th/0409031 | Shyamoli Chaudhuri | Shyamoli Chaudhuri | The Normalization of Perturbative String Amplitudes: Weyl Covariance and
Zeta Function Regularization | Latex, 41pgs. Electronic pedagogical review. v4: Citations corrected | null | null | null | hep-th | null | This is a self-contained pedagogical review of Polchinski's 1986 analysis
from first principles of the Polyakov path integral based on Hawking's zeta
function regularization technique for scale-invariant computations in
two-dimensional quantum gravity, an approach that can be adapted to any of the
perturbative string theories. In particular, we point out the physical
significance of preserving both Weyl and global diffeomorphism invariance while
taking the low energy field theory limit of scattering amplitudes in an open
and closed string theory, giving a brief discussion of some physics
applications. We review the path integral computation of the pointlike
off-shell closed bosonic string propagator due to Cohen, Moore, Nelson, and
Polchinski. The extension of their methodology to the case of the macroscopic
loop propagator in an embedding flat spacetime geometry has been given by
Chaudhuri, Chen, and Novak. We examine the macroscopic loop amplitude from the
perspective of both the target spacetime massive type II supergravity theory,
and the boundary state formalism of the worldsheet conformal field theory,
clarifying the precise evidence it provides for a Dirichlet (-2)brane, an
identification made by Chaudhuri. The appendices contain extensive detail.
| [
{
"created": "Thu, 2 Sep 2004 19:50:59 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Oct 2004 16:34:19 GMT",
"version": "v2"
},
{
"created": "Fri, 18 Feb 2005 20:57:24 GMT",
"version": "v3"
},
{
"created": "Wed, 2 Mar 2005 20:58:04 GMT",
"version": "v4"
}
] | 2007-05-23 | [
[
"Chaudhuri",
"Shyamoli",
""
]
] | This is a self-contained pedagogical review of Polchinski's 1986 analysis from first principles of the Polyakov path integral based on Hawking's zeta function regularization technique for scale-invariant computations in two-dimensional quantum gravity, an approach that can be adapted to any of the perturbative string theories. In particular, we point out the physical significance of preserving both Weyl and global diffeomorphism invariance while taking the low energy field theory limit of scattering amplitudes in an open and closed string theory, giving a brief discussion of some physics applications. We review the path integral computation of the pointlike off-shell closed bosonic string propagator due to Cohen, Moore, Nelson, and Polchinski. The extension of their methodology to the case of the macroscopic loop propagator in an embedding flat spacetime geometry has been given by Chaudhuri, Chen, and Novak. We examine the macroscopic loop amplitude from the perspective of both the target spacetime massive type II supergravity theory, and the boundary state formalism of the worldsheet conformal field theory, clarifying the precise evidence it provides for a Dirichlet (-2)brane, an identification made by Chaudhuri. The appendices contain extensive detail. |
hep-th/9701155 | Tadakatsu Sakai | Tadakatsu Sakai | Duality in Supersymmetric SU(N) Gauge Theory with a Symmetric Tensor | LaTeX file, 10 page. a reference added | Mod.Phys.Lett. A12 (1997) 1025-1034 | 10.1142/S0217732397001047 | TIT/HEP 385 | hep-th | null | Duality in supersymmetric SU(N) gauge theory with a symmetric tensor is
studied using the technique of deconfining and Seiberg's duality. By
construction the gauge group of the dual theory necessarily becomes a product
group. In order to check the duality, several nontrivial consistency conditions
are examined. In particular we find that by deforming along a flat direction,
the duality flows to the Seiberg's duality of SO(N) gauge theory.
| [
{
"created": "Tue, 28 Jan 1997 09:04:54 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Mar 1997 13:28:57 GMT",
"version": "v2"
},
{
"created": "Wed, 23 Apr 1997 05:36:12 GMT",
"version": "v3"
}
] | 2009-10-30 | [
[
"Sakai",
"Tadakatsu",
""
]
] | Duality in supersymmetric SU(N) gauge theory with a symmetric tensor is studied using the technique of deconfining and Seiberg's duality. By construction the gauge group of the dual theory necessarily becomes a product group. In order to check the duality, several nontrivial consistency conditions are examined. In particular we find that by deforming along a flat direction, the duality flows to the Seiberg's duality of SO(N) gauge theory. |
2102.11695 | Masoud Shokri | M. Kiamari, M. Rahbardar, M. Shokri, N. Sadooghi | Anomalous Hall instability in the Chern-Simons magnetohydrodynamics | 31 pages, 10 figures | null | 10.1103/PhysRevD.104.076023 | null | hep-th cond-mat.str-el hep-ph nucl-th | http://creativecommons.org/licenses/by/4.0/ | The Chern-Simons magnetohydrodynamics (CSMHD) is introduced using a
Maxwell-Chern-Simons (MCS) Lagrangian including an axion-like field $\Theta$.
The MCS equation of motion derived from this Lagrangian consists of a modified
current, including a chiral magnetic (CM) and an anomalous Hall (AH) current,
in addition to the ordinary Ohm current of resistive magnetohydrodynamics
(MHD). The former consists of an axial chemical potential, which is given in
terms of the temporal comoving derivative of $\Theta$, and the latter arises
from the spatial gradient of $\Theta$. As it turns out, the existence of the
axial chemical potential is a nonequilibrium effect that plays no role in the
linear stability analysis, whereas the AH current arises as in the first-order
linear perturbation of the thermal equilibrium. We analyze the linear stability
and causality of the CSMHD in a resistive and chiral medium. We show that the
Alfven modes propagating sufficiently close to the direction of the magnetic
field are unstable but causal. They are also accompanied by a genuine nonhydro
mode. A stable mode in a particular direction can correspond to an unstable
mode propagating in the exact opposite direction. The AH instability is a
manifestation of a breakdown of the parity. A numerical analysis of the phase
velocity confirms these results.
| [
{
"created": "Tue, 23 Feb 2021 13:55:38 GMT",
"version": "v1"
}
] | 2021-11-01 | [
[
"Kiamari",
"M.",
""
],
[
"Rahbardar",
"M.",
""
],
[
"Shokri",
"M.",
""
],
[
"Sadooghi",
"N.",
""
]
] | The Chern-Simons magnetohydrodynamics (CSMHD) is introduced using a Maxwell-Chern-Simons (MCS) Lagrangian including an axion-like field $\Theta$. The MCS equation of motion derived from this Lagrangian consists of a modified current, including a chiral magnetic (CM) and an anomalous Hall (AH) current, in addition to the ordinary Ohm current of resistive magnetohydrodynamics (MHD). The former consists of an axial chemical potential, which is given in terms of the temporal comoving derivative of $\Theta$, and the latter arises from the spatial gradient of $\Theta$. As it turns out, the existence of the axial chemical potential is a nonequilibrium effect that plays no role in the linear stability analysis, whereas the AH current arises as in the first-order linear perturbation of the thermal equilibrium. We analyze the linear stability and causality of the CSMHD in a resistive and chiral medium. We show that the Alfven modes propagating sufficiently close to the direction of the magnetic field are unstable but causal. They are also accompanied by a genuine nonhydro mode. A stable mode in a particular direction can correspond to an unstable mode propagating in the exact opposite direction. The AH instability is a manifestation of a breakdown of the parity. A numerical analysis of the phase velocity confirms these results. |
hep-th/0311173 | Pedro Vieira G. | Pedro G. Vieira | Late-time Cosmic Dynamics from M-theory | 10 pages, LaTeX, 2 figures | Class.Quant.Grav.21:2421-2426,2004 | 10.1088/0264-9381/21/9/015 | null | hep-th astro-ph gr-qc | null | We consider the behaviour of the cosmological acceleration for time-dependent
hyperbolic and flux compactifications of M-theory, with an exponential
potential. For flat and closed cosmologies it is seen that a positive
acceleration is always transient for both compactifications. For open
cosmologies, both compactifications can give at late times periods of positive
acceleration. As a function of proper time this acceleration has a power law
decay and can be either positive, negative or oscillatory.
| [
{
"created": "Wed, 19 Nov 2003 15:18:55 GMT",
"version": "v1"
}
] | 2011-01-28 | [
[
"Vieira",
"Pedro G.",
""
]
] | We consider the behaviour of the cosmological acceleration for time-dependent hyperbolic and flux compactifications of M-theory, with an exponential potential. For flat and closed cosmologies it is seen that a positive acceleration is always transient for both compactifications. For open cosmologies, both compactifications can give at late times periods of positive acceleration. As a function of proper time this acceleration has a power law decay and can be either positive, negative or oscillatory. |
hep-th/9210151 | Park J.-S. | Jae-Suk Park | Zero-Modes, Covariant Anomaly Counterparts and Reducible Connections in
Topological Yang-Mills Theory | 10 pages, ESENAT-92-08 | null | null | null | hep-th | null | We introduce the covariant forms for the non-Abelian anomaly counterparts in
topological Yang-Mills theory, which satisfies the topological descent equation
modulo terms that vanish at the space of BRST fixed points. We use the
covariant anomalies as a new set of observables, which can absorb both $\dw$
and $\db$ ghost number violations of zero-modes. Then, we study some problems
due to the zero-modes originated from the reducible connections.
| [
{
"created": "Thu, 29 Oct 1992 17:18:00 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Park",
"Jae-Suk",
""
]
] | We introduce the covariant forms for the non-Abelian anomaly counterparts in topological Yang-Mills theory, which satisfies the topological descent equation modulo terms that vanish at the space of BRST fixed points. We use the covariant anomalies as a new set of observables, which can absorb both $\dw$ and $\db$ ghost number violations of zero-modes. Then, we study some problems due to the zero-modes originated from the reducible connections. |
hep-th/0602177 | Juan Valverde JSValverde | J. S. Valverde and M. Pazetti | Relativistic particle dynamics in D=2+1 | 11 pages | JHEP0608:037,2006 | 10.1088/1126-6708/2006/08/037 | null | hep-th | null | We propose a SUSY variant of the action for a massless spinning particles via
the inclusion of twistor variables. The action is constructed to be invariant
under SUSY transformations and $\tau$-reparametrizations even when an
interaction field is including. The constraint analysis is achieved and the
equations of motion are derived. The commutation relations obtained for the
commuting spinor variables $\lambda$ show that the particle states have
fractional statistics and spin. At once we introduce a possible massive term
for the non-interacting model.
| [
{
"created": "Sat, 18 Feb 2006 00:58:43 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Valverde",
"J. S.",
""
],
[
"Pazetti",
"M.",
""
]
] | We propose a SUSY variant of the action for a massless spinning particles via the inclusion of twistor variables. The action is constructed to be invariant under SUSY transformations and $\tau$-reparametrizations even when an interaction field is including. The constraint analysis is achieved and the equations of motion are derived. The commutation relations obtained for the commuting spinor variables $\lambda$ show that the particle states have fractional statistics and spin. At once we introduce a possible massive term for the non-interacting model. |
1401.3652 | Maja Buri\'c | Maja Buric and John Madore | On noncommutative spherically symmetric spaces | 22 pages | null | 10.1140/epjc/s10052-014-2820-8 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Two families of noncommutative extensions are given of a general space-time
metric with spherical symmetry, both based on the matrix truncation of the
functions on the sphere of symmetry. The first family uses the truncation to
foliate space as an infinite set of spheres, is of dimension four and
necessarily time-dependent; the second can be time-dependent or static, is of
dimension five and uses the truncation to foliate the internal space.
| [
{
"created": "Wed, 15 Jan 2014 16:15:06 GMT",
"version": "v1"
}
] | 2015-06-18 | [
[
"Buric",
"Maja",
""
],
[
"Madore",
"John",
""
]
] | Two families of noncommutative extensions are given of a general space-time metric with spherical symmetry, both based on the matrix truncation of the functions on the sphere of symmetry. The first family uses the truncation to foliate space as an infinite set of spheres, is of dimension four and necessarily time-dependent; the second can be time-dependent or static, is of dimension five and uses the truncation to foliate the internal space. |
hep-th/0011218 | Valentin Khoze | Valentin V. Khoze and Gabriele Travaglini (Durham) | Wilsonian Effective Actions and the IR/UV Mixing in Noncommutative Gauge
Theories | New section and references added; LaTex 2e, 26 pages, 7 ps figures | JHEP 0101:026,2001 | 10.1088/1126-6708/2001/01/026 | null | hep-th | null | Using background field perturbation theory we study Wilsonian effective
actions of noncommutative gauge theories with an arbitrary matter content. We
determine the Wilsonian coupling constant and the gauge boson polarization
tensor as functions of the momentum scale k at the one-loop level and study
their short-distance behaviour as theta k ->0, where theta is the
noncommutativity parameter. The mixing between the short-distance and the
long-distance degrees of freedom characteristic of noncommutative field
theories violates the universality of the Wilsonian action and leads to
IR-singularities. We find, in agreement with known results, that the quadratic
IR divergencies cancel in supersymmetric gauge theories. The logarithmic
divergencies disappear in mass-deformed N=4 theories, but not in other finite
N=2 theories. We next concentrate on finite N=2 and mass-deformed N=4
supersymmetric U(1) gauge theories with massive hypermultiplets. The Wilsonian
running coupling exhibits a non-trivial threshold behaviour at and well below
the noncomutativity scale, eventually becoming flat in the extreme infrared in
N=4 theories, but not in N=2 theories. This is interpreted as the
(non)-existence of a non-singular commutative limit where the theory is
described by a commutative N=2 pure U(1) theory. We expect that our analysis of
finite theories is exact to all orders in perturbation theory.
| [
{
"created": "Fri, 24 Nov 2000 14:23:09 GMT",
"version": "v1"
},
{
"created": "Sun, 26 Nov 2000 13:12:39 GMT",
"version": "v2"
},
{
"created": "Mon, 4 Dec 2000 18:10:24 GMT",
"version": "v3"
}
] | 2010-02-03 | [
[
"Khoze",
"Valentin V.",
"",
"Durham"
],
[
"Travaglini",
"Gabriele",
"",
"Durham"
]
] | Using background field perturbation theory we study Wilsonian effective actions of noncommutative gauge theories with an arbitrary matter content. We determine the Wilsonian coupling constant and the gauge boson polarization tensor as functions of the momentum scale k at the one-loop level and study their short-distance behaviour as theta k ->0, where theta is the noncommutativity parameter. The mixing between the short-distance and the long-distance degrees of freedom characteristic of noncommutative field theories violates the universality of the Wilsonian action and leads to IR-singularities. We find, in agreement with known results, that the quadratic IR divergencies cancel in supersymmetric gauge theories. The logarithmic divergencies disappear in mass-deformed N=4 theories, but not in other finite N=2 theories. We next concentrate on finite N=2 and mass-deformed N=4 supersymmetric U(1) gauge theories with massive hypermultiplets. The Wilsonian running coupling exhibits a non-trivial threshold behaviour at and well below the noncomutativity scale, eventually becoming flat in the extreme infrared in N=4 theories, but not in N=2 theories. This is interpreted as the (non)-existence of a non-singular commutative limit where the theory is described by a commutative N=2 pure U(1) theory. We expect that our analysis of finite theories is exact to all orders in perturbation theory. |
hep-th/0111136 | Ysmyung | Y. S. Myung (Inje Univ.) | Cosmology with the CFT-radiation matter | 14 pages, Talk at the 7th Italian-Korean Symposium on Relativistic
Astrophysics, Kimhae, Korea, 23-28 July 2001 | J.KoreanPhys.Soc.42:S105,2003 | null | INJE-TP-01-10 | hep-th | null | We review the relation between entropy bounds to rewrite Friedmann equation
on the brane in terms of three entropy bounds: Bekenstein-Verlinde ($S_{BV}$);
Bekenstein-Hawking bound ($S_{BH}$); Hubble bound ($S_H$). For a strongly
coupled conformal field theory (CFT) with a dual 5-dimensional anti de Sitter
Schwarzschild (AdSS$_5$) black hole, we can easily establish the connection
between the Cardy-Verlinde formula on the CFT side and the entropy
representation of Friedmann equation in cosmology. In this case its
cosmological evolution for entropy is given by the semi-circle. However, for
the matter-dominated case, we find that the cosmological evolution diagram
takes a different form of the cycloid. Here we propose two different entropy
relations for matter-dominated case. It turns out that the Verlinde's entropy
relation so restricted that it may not be valid for the matter-dominated
universe.
| [
{
"created": "Thu, 15 Nov 2001 00:07:12 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Myung",
"Y. S.",
"",
"Inje Univ."
]
] | We review the relation between entropy bounds to rewrite Friedmann equation on the brane in terms of three entropy bounds: Bekenstein-Verlinde ($S_{BV}$); Bekenstein-Hawking bound ($S_{BH}$); Hubble bound ($S_H$). For a strongly coupled conformal field theory (CFT) with a dual 5-dimensional anti de Sitter Schwarzschild (AdSS$_5$) black hole, we can easily establish the connection between the Cardy-Verlinde formula on the CFT side and the entropy representation of Friedmann equation in cosmology. In this case its cosmological evolution for entropy is given by the semi-circle. However, for the matter-dominated case, we find that the cosmological evolution diagram takes a different form of the cycloid. Here we propose two different entropy relations for matter-dominated case. It turns out that the Verlinde's entropy relation so restricted that it may not be valid for the matter-dominated universe. |
0902.3657 | Petr Horava | Petr Horava | Spectral Dimension of the Universe in Quantum Gravity at a Lifshitz
Point | 11 pages, 1 figure; v2: typos corrected | Phys.Rev.Lett.102:161301,2009 | 10.1103/PhysRevLett.102.161301 | null | hep-th gr-qc hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We extend the definition of "spectral dimension" (usually defined for fractal
and lattice geometries) to theories on smooth spacetimes with anisotropic
scaling. We show that in quantum gravity dominated by a Lifshitz point with
dynamical critical exponent z in D+1 spacetime dimensions, the spectral
dimension of spacetime is equal to d_s=1+D/z. In the case of gravity in 3+1
dimensions presented in arXiv:0901.3775, which is dominated by z=3 in the UV
and flows to z=1 in the IR, the spectral dimension of spacetime flows from
d_s=4 at large scales, to d_s=2 at short distances. Remarkably, this is the
qualitative behavior of d_s found numerically by Ambjorn, Jurkiewicz and Loll
in their causal dynamical triangulations approach to quantum gravity.
| [
{
"created": "Mon, 23 Feb 2009 20:26:02 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Mar 2009 22:58:20 GMT",
"version": "v2"
}
] | 2009-06-16 | [
[
"Horava",
"Petr",
""
]
] | We extend the definition of "spectral dimension" (usually defined for fractal and lattice geometries) to theories on smooth spacetimes with anisotropic scaling. We show that in quantum gravity dominated by a Lifshitz point with dynamical critical exponent z in D+1 spacetime dimensions, the spectral dimension of spacetime is equal to d_s=1+D/z. In the case of gravity in 3+1 dimensions presented in arXiv:0901.3775, which is dominated by z=3 in the UV and flows to z=1 in the IR, the spectral dimension of spacetime flows from d_s=4 at large scales, to d_s=2 at short distances. Remarkably, this is the qualitative behavior of d_s found numerically by Ambjorn, Jurkiewicz and Loll in their causal dynamical triangulations approach to quantum gravity. |
hep-th/9606080 | Laurent Baulieu | Laurent Baulieu, Michael B. Green and Eliezer Rabinovici | A Unifying Topological Action for Heterotic and Type II Superstring
Theories | 14 pages, LaTeX, no figures | Phys.Lett. B386 (1996) 91-98 | 10.1016/0370-2693(96)00909-4 | DAMTP/96-50, PAR--LPTHE 96--15 | hep-th | null | The heterotic and type II superstring actions are identified in different
anomaly-free decompositions of a single topological sigma-model action
depending on bosonic and fermionic coordinates, $X^\mu$ and $\r^A$
respectively, and of their topological ghosts. This model results from
gauge-fixing the topological gauge symmetry $\delta X^\mu = \epsilon^\mu
(z,\bar z)$ ($\mu =1,2,\dots, 10$) and $\delta \r^\alpha= \epsilon^\alpha
(z,\bar z)$. ($\alpha=1,2.\dots, 16$). From another viewpoint the heterotic and
type II superstring actions emerge as two different gauge-fixings of the same
closed two-form. Comments are also made concerning the possibility of relating
$\rho^\alpha$ to a Majorana-Weyl space-time spinor superpartner of $X^\mu$.
| [
{
"created": "Thu, 13 Jun 1996 17:31:33 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Baulieu",
"Laurent",
""
],
[
"Green",
"Michael B.",
""
],
[
"Rabinovici",
"Eliezer",
""
]
] | The heterotic and type II superstring actions are identified in different anomaly-free decompositions of a single topological sigma-model action depending on bosonic and fermionic coordinates, $X^\mu$ and $\r^A$ respectively, and of their topological ghosts. This model results from gauge-fixing the topological gauge symmetry $\delta X^\mu = \epsilon^\mu (z,\bar z)$ ($\mu =1,2,\dots, 10$) and $\delta \r^\alpha= \epsilon^\alpha (z,\bar z)$. ($\alpha=1,2.\dots, 16$). From another viewpoint the heterotic and type II superstring actions emerge as two different gauge-fixings of the same closed two-form. Comments are also made concerning the possibility of relating $\rho^\alpha$ to a Majorana-Weyl space-time spinor superpartner of $X^\mu$. |
2106.03709 | Yichao Tang | Song He, Zhenjie Li, Yichao Tang, Qinglin Yang | Bootstrapping octagons in reduced kinematics from $A_2$ cluster algebras | 26 pages, several figures and tables, an ancilary file | null | 10.1007/JHEP10(2021)084 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Multi-loop scattering amplitudes/null polygonal Wilson loops in ${\mathcal
N}=4$ super-Yang-Mills are known to simplify significantly in reduced
kinematics, where external legs/edges lie in an $1+1$ dimensional subspace of
Minkowski spacetime (or boundary of the $\rm AdS_3$ subspace). Since the edges
of a $2n$-gon with even and odd labels go along two different null directions,
the kinematics is reduced to two copies of $G(2,n)/T \sim A_{n{-}3}$. In the
simplest octagon case, we conjecture that all loop amplitudes and Feynman
integrals are given in terms of two overlapping $A_2$ functions (a special case
of two-dimensional harmonic polylogarithms): in addition to the letters $v,
1+v, w, 1+w$ of $A_1 \times A_1$, there are two letters $v-w, 1- v w$ mixing
the two sectors but they never appear together in the same term; these are the
reduced version of four-mass-box algebraic letters. Evidence supporting our
conjecture includes all known octagon amplitudes as well as new computations of
multi-loop integrals in reduced kinematics. By leveraging this alphabet and
conditions on first and last entries, we initiate a bootstrap program in
reduced kinematics: within the remarkably simple space of overlapping $A_2$
functions, we easily obtain octagon amplitudes up to two-loop NMHV and
three-loop MHV. We also briefly comment on the generalization to $2n$-gons in
terms of $A_2$ functions and beyond.
| [
{
"created": "Mon, 7 Jun 2021 15:20:21 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Sep 2021 10:00:40 GMT",
"version": "v2"
}
] | 2021-10-27 | [
[
"He",
"Song",
""
],
[
"Li",
"Zhenjie",
""
],
[
"Tang",
"Yichao",
""
],
[
"Yang",
"Qinglin",
""
]
] | Multi-loop scattering amplitudes/null polygonal Wilson loops in ${\mathcal N}=4$ super-Yang-Mills are known to simplify significantly in reduced kinematics, where external legs/edges lie in an $1+1$ dimensional subspace of Minkowski spacetime (or boundary of the $\rm AdS_3$ subspace). Since the edges of a $2n$-gon with even and odd labels go along two different null directions, the kinematics is reduced to two copies of $G(2,n)/T \sim A_{n{-}3}$. In the simplest octagon case, we conjecture that all loop amplitudes and Feynman integrals are given in terms of two overlapping $A_2$ functions (a special case of two-dimensional harmonic polylogarithms): in addition to the letters $v, 1+v, w, 1+w$ of $A_1 \times A_1$, there are two letters $v-w, 1- v w$ mixing the two sectors but they never appear together in the same term; these are the reduced version of four-mass-box algebraic letters. Evidence supporting our conjecture includes all known octagon amplitudes as well as new computations of multi-loop integrals in reduced kinematics. By leveraging this alphabet and conditions on first and last entries, we initiate a bootstrap program in reduced kinematics: within the remarkably simple space of overlapping $A_2$ functions, we easily obtain octagon amplitudes up to two-loop NMHV and three-loop MHV. We also briefly comment on the generalization to $2n$-gons in terms of $A_2$ functions and beyond. |
1010.5328 | Jorgen Rasmussen | Paul A. Pearce, Jorgen Rasmussen | Coset Graphs in Bulk and Boundary Logarithmic Minimal Models | 33 pages, v2: comments and references added, v3: minor corrections | Nucl.Phys.B846:616-649,2011 | 10.1016/j.nuclphysb.2011.01.014 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The logarithmic minimal models are not rational but, in the W-extended
picture, they resemble rational conformal field theories. We argue that the
W-projective representations are fundamental building blocks in both the
boundary and bulk description of these theories. In the boundary theory, each
W-projective representation arising from fundamental fusion is associated with
a boundary condition. Multiplication in the associated Grothendieck ring leads
to a Verlinde-like formula involving A-type twisted affine graphs A^{(2)}_{p}
and their coset graphs A^{(2)}_{p,p'}=A^{(2)}_{p} x A^{(2)}_{p'}/Z_2. This
provides compact formulas for the conformal partition functions with
W-projective boundary conditions. On the torus, we propose modular invariant
partition functions as sesquilinear forms in W-projective and rational minimal
characters and observe that they are encoded by the same coset fusion graphs.
| [
{
"created": "Tue, 26 Oct 2010 07:48:10 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Nov 2010 08:39:58 GMT",
"version": "v2"
},
{
"created": "Thu, 27 Jan 2011 00:49:55 GMT",
"version": "v3"
}
] | 2011-03-07 | [
[
"Pearce",
"Paul A.",
""
],
[
"Rasmussen",
"Jorgen",
""
]
] | The logarithmic minimal models are not rational but, in the W-extended picture, they resemble rational conformal field theories. We argue that the W-projective representations are fundamental building blocks in both the boundary and bulk description of these theories. In the boundary theory, each W-projective representation arising from fundamental fusion is associated with a boundary condition. Multiplication in the associated Grothendieck ring leads to a Verlinde-like formula involving A-type twisted affine graphs A^{(2)}_{p} and their coset graphs A^{(2)}_{p,p'}=A^{(2)}_{p} x A^{(2)}_{p'}/Z_2. This provides compact formulas for the conformal partition functions with W-projective boundary conditions. On the torus, we propose modular invariant partition functions as sesquilinear forms in W-projective and rational minimal characters and observe that they are encoded by the same coset fusion graphs. |
hep-th/0003107 | Leonid Slad | L.M. Slad | Double Symmetries in Field Theories | 10 pages, LaTeX, no figures | Mod.Phys.Lett. A15 (2000) 379 | 10.1142/S0217732300000360 | null | hep-th | null | In the paper a concept of a double symmetry is introduced, and its
qualitative characteristics and rigorous definitions are given. We describe two
ways to construct the double-symmetric field theories and present an example
demonstrating the high efficiency of one of them. In noting the existing
double-symmetric theories we draw attention at a dual status of the group
$SU(2)_{L} \otimes SU(2)_{R}$ as a secondary symmetry group, and in this
connexion we briefly discuss logically possible aspects of the $P$-violation in
weak interactions.
| [
{
"created": "Tue, 14 Mar 2000 13:46:10 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Slad",
"L. M.",
""
]
] | In the paper a concept of a double symmetry is introduced, and its qualitative characteristics and rigorous definitions are given. We describe two ways to construct the double-symmetric field theories and present an example demonstrating the high efficiency of one of them. In noting the existing double-symmetric theories we draw attention at a dual status of the group $SU(2)_{L} \otimes SU(2)_{R}$ as a secondary symmetry group, and in this connexion we briefly discuss logically possible aspects of the $P$-violation in weak interactions. |
1507.04347 | Marco Astorino | Marco Astorino | Microscopic Entropy of the Magnetised Extremal Reissner-Nordstrom Black
Hole | 12 pages, accepted for publication in JHEP | JHEP 1510 (2015) 016 | 10.1007/JHEP10(2015)016 | CECS-PHY-15/05 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The extremal Reissner-Nordstrom black hole embedded in a Melvin-like magnetic
universe is studied in the framework of the Kerr/CFT correspondence. The near
horizon geometry can be written as a warped and twisted product of $AdS_2
\times S^2$, also in presence of an axial external magnetic field that deforms
the black hole. The central charge of the Virasoro algebra can be extracted
from the asymptotic symmetries. Using the Cardy formula for the microscopic
statistical entropy of the dual two-dimensional CFT, the Bekenstein-Hawking
entropy, for this charged and magnetised black hole, is reproduced.
| [
{
"created": "Wed, 15 Jul 2015 20:00:33 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Sep 2015 13:18:37 GMT",
"version": "v2"
}
] | 2015-10-21 | [
[
"Astorino",
"Marco",
""
]
] | The extremal Reissner-Nordstrom black hole embedded in a Melvin-like magnetic universe is studied in the framework of the Kerr/CFT correspondence. The near horizon geometry can be written as a warped and twisted product of $AdS_2 \times S^2$, also in presence of an axial external magnetic field that deforms the black hole. The central charge of the Virasoro algebra can be extracted from the asymptotic symmetries. Using the Cardy formula for the microscopic statistical entropy of the dual two-dimensional CFT, the Bekenstein-Hawking entropy, for this charged and magnetised black hole, is reproduced. |
2111.12716 | Dalimil Mazac | Petr Kravchuk, Dalimil Mazac, Sridip Pal | Automorphic Spectra and the Conformal Bootstrap | v2: various improvements, especially in Section 3.9; v3: published
version | Comm. Amer. Math. Soc. 4 (2024), 1-63 | 10.1090/cams/26 | null | hep-th math-ph math.MP math.RT math.SP | http://creativecommons.org/licenses/by/4.0/ | We describe a new method for constraining Laplacian spectra of hyperbolic
surfaces and 2-orbifolds. The main ingredient is consistency of the spectral
decomposition of integrals of products of four automorphic forms. Using a
combination of representation theory of $\mathrm{PSL}_2(\mathbb{R})$ and
semi-definite programming, the method yields rigorous upper bounds on the
Laplacian spectral gap. In several examples, the bound is nearly sharp. For
instance, our bound on all genus-2 surfaces is $\lambda_1\leq 3.8388976481$,
while the Bolza surface has $\lambda_1\approx 3.838887258$. The bounds also
allow us to determine the set of spectral gaps attained by all hyperbolic
2-orbifolds. Our methods can be generalized to higher-dimensional hyperbolic
manifolds and to yield stronger bounds in the two-dimensional case. The ideas
were closely inspired by modern conformal bootstrap.
| [
{
"created": "Wed, 24 Nov 2021 19:00:01 GMT",
"version": "v1"
},
{
"created": "Sat, 7 Oct 2023 09:36:40 GMT",
"version": "v2"
},
{
"created": "Sun, 21 Jan 2024 20:59:26 GMT",
"version": "v3"
}
] | 2024-01-23 | [
[
"Kravchuk",
"Petr",
""
],
[
"Mazac",
"Dalimil",
""
],
[
"Pal",
"Sridip",
""
]
] | We describe a new method for constraining Laplacian spectra of hyperbolic surfaces and 2-orbifolds. The main ingredient is consistency of the spectral decomposition of integrals of products of four automorphic forms. Using a combination of representation theory of $\mathrm{PSL}_2(\mathbb{R})$ and semi-definite programming, the method yields rigorous upper bounds on the Laplacian spectral gap. In several examples, the bound is nearly sharp. For instance, our bound on all genus-2 surfaces is $\lambda_1\leq 3.8388976481$, while the Bolza surface has $\lambda_1\approx 3.838887258$. The bounds also allow us to determine the set of spectral gaps attained by all hyperbolic 2-orbifolds. Our methods can be generalized to higher-dimensional hyperbolic manifolds and to yield stronger bounds in the two-dimensional case. The ideas were closely inspired by modern conformal bootstrap. |
hep-th/9405168 | Volodimir Lyubashenko | Volodymyr Lyubashenko | Modular properties of ribbon abelian categories | 51 pages, close to published version | Symposia Gaussiana, Proc. of the 2nd Gauss Symposium, Munich,
1993, Conf. A (Berlin, New York), Walter de ruyter, 1995, pp. 529-579 | null | null | hep-th math.QA | null | A category N of labeled (oriented) trivalent graphs (nets) or ribbon graphs
is extended by new generators called fusing, braiding, twist and switch with
relations which can be called Moore--Seiberg relations. A functor to N is
constructed from the category Surf of oriented surfaces with labeled boundary
and their homeomorphisms. Given an (eventually non-semisimple) k-linear abelian
ribbon braided category C with some finiteness conditions we construct a
functor from a central extension of N with the set of labels ObC to k-vector
spaces. Composing the functors we get a modular functor from a central
extension of Surf to k-vector spaces. This is a mathematical paper which
explains how to get proofs for its hep-th companion paper, which should be read
first. Complete proofs are not given here. (Talk at Second Gauss Simposium,
Munich, August 1993.)
| [
{
"created": "Thu, 26 May 1994 10:51:48 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Feb 2008 15:28:14 GMT",
"version": "v2"
}
] | 2008-02-22 | [
[
"Lyubashenko",
"Volodymyr",
""
]
] | A category N of labeled (oriented) trivalent graphs (nets) or ribbon graphs is extended by new generators called fusing, braiding, twist and switch with relations which can be called Moore--Seiberg relations. A functor to N is constructed from the category Surf of oriented surfaces with labeled boundary and their homeomorphisms. Given an (eventually non-semisimple) k-linear abelian ribbon braided category C with some finiteness conditions we construct a functor from a central extension of N with the set of labels ObC to k-vector spaces. Composing the functors we get a modular functor from a central extension of Surf to k-vector spaces. This is a mathematical paper which explains how to get proofs for its hep-th companion paper, which should be read first. Complete proofs are not given here. (Talk at Second Gauss Simposium, Munich, August 1993.) |
hep-th/0105156 | Washington Taylor | Ian Ellwood (MIT) and Washington Taylor (ITP, MIT) | Gauge Invariance and Tachyon Condensation in Open String Field Theory | 12 pages, 3 figures, LaTeX; work presented by WT at Strings 2001 | null | null | NSF-ITP-01-09, MIT-CTP-3079 | hep-th | null | The gauge invariance of open string field theory is considered from the point
of view of level truncation, and applications to the tachyon condensation
problem are discussed. We show that the region of validity of Feynman-Siegel
gauge can be accurately determined using the level truncation method. We then
show that singularities previously found in the tachyon effective potential are
gauge artifacts arising from the boundary of the region of validity of
Feynman-Siegel gauge. The problem of finding the stable vacuum and tachyon
potential without fixing Feynman-Siegel gauge is addressed.
| [
{
"created": "Wed, 16 May 2001 18:49:28 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Ellwood",
"Ian",
"",
"MIT"
],
[
"Taylor",
"Washington",
"",
"ITP, MIT"
]
] | The gauge invariance of open string field theory is considered from the point of view of level truncation, and applications to the tachyon condensation problem are discussed. We show that the region of validity of Feynman-Siegel gauge can be accurately determined using the level truncation method. We then show that singularities previously found in the tachyon effective potential are gauge artifacts arising from the boundary of the region of validity of Feynman-Siegel gauge. The problem of finding the stable vacuum and tachyon potential without fixing Feynman-Siegel gauge is addressed. |
1107.0383 | Christoph Mayrhofer | Michele Cicoli, Maximilian Kreuzer, Christoph Mayrhofer | Toric K3-Fibred Calabi-Yau Manifolds with del Pezzo Divisors for String
Compactifications | 41 pages, dedicated to the memory of Maximilian Kreuzer; v2: typos
corrected and minor corrections | null | 10.1007/JHEP02(2012)002 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyse several explicit toric examples of compact K3-fibred Calabi-Yau
three-folds which can be used for the study of string dualities and are crucial
ingredients for the construction of LARGE Volume type IIB vacua with promising
applications to cosmology and particle phenomenology. In order to build a
phenomenologically viable model, on top of the two moduli corresponding to the
base and the K3 fibre, we demand also the existence of two additional rigid
divisors: the first supporting the non-perturbative effects needed to achieve
moduli stabilisation, and the second allowing the presence of chiral matter on
wrapped D-branes. We clarify the topology of these rigid divisors by discussing
the interplay between a diagonal structure of the Calabi-Yau volume and
D-terms. Del Pezzo divisors appearing in the volume form in a completely
diagonal way are natural candidates for supporting non-perturbative effects and
for quiver constructions, while `non-diagonal' del Pezzo and rigid but not del
Pezzo divisors are particularly interesting for model building in the geometric
regime. Searching through the existing list of four dimensional reflexive
lattice polytopes, we find 158 examples admitting a Calabi-Yau hypersurface
which is a K3 fibration with four K\"ahler moduli where at least one of them is
a `diagonal' del Pezzo. We work out explicitly the topological details of a few
examples showing how, in the case of simplicial polytopes, all the del Pezzo
divisors are `diagonal', while `non-diagonal' ones appear only in the case of
non-simplicial polytopes. A companion paper will use these results in the study
of moduli stabilisation for globally consistent explicit Calabi-Yau
compactifications with the local presence of chirality.
| [
{
"created": "Sat, 2 Jul 2011 14:06:03 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Aug 2012 13:51:58 GMT",
"version": "v2"
}
] | 2012-08-28 | [
[
"Cicoli",
"Michele",
""
],
[
"Kreuzer",
"Maximilian",
""
],
[
"Mayrhofer",
"Christoph",
""
]
] | We analyse several explicit toric examples of compact K3-fibred Calabi-Yau three-folds which can be used for the study of string dualities and are crucial ingredients for the construction of LARGE Volume type IIB vacua with promising applications to cosmology and particle phenomenology. In order to build a phenomenologically viable model, on top of the two moduli corresponding to the base and the K3 fibre, we demand also the existence of two additional rigid divisors: the first supporting the non-perturbative effects needed to achieve moduli stabilisation, and the second allowing the presence of chiral matter on wrapped D-branes. We clarify the topology of these rigid divisors by discussing the interplay between a diagonal structure of the Calabi-Yau volume and D-terms. Del Pezzo divisors appearing in the volume form in a completely diagonal way are natural candidates for supporting non-perturbative effects and for quiver constructions, while `non-diagonal' del Pezzo and rigid but not del Pezzo divisors are particularly interesting for model building in the geometric regime. Searching through the existing list of four dimensional reflexive lattice polytopes, we find 158 examples admitting a Calabi-Yau hypersurface which is a K3 fibration with four K\"ahler moduli where at least one of them is a `diagonal' del Pezzo. We work out explicitly the topological details of a few examples showing how, in the case of simplicial polytopes, all the del Pezzo divisors are `diagonal', while `non-diagonal' ones appear only in the case of non-simplicial polytopes. A companion paper will use these results in the study of moduli stabilisation for globally consistent explicit Calabi-Yau compactifications with the local presence of chirality. |
1112.2147 | Kory Stiffler | S. James Gates Jr, Jared Hallett, James Parker, Vincent G. J. Rodgers,
and Kory Stiffler | 4D, N = 1 Supersymmetry Genomics (II) | 40 pages, 8 figures, sequel to "4D, N = 1 Supersymmetry Genomics (I)"
[arxiv: 0902.3830] | JHEP 1206 (2012) 071 | 10.1007/JHEP06(2012)071 | UMDEPP 11-019 | hep-th math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We continue the development of a theory of off-shell supersymmetric
representations analogous to that of compact Lie algebras such as SU(3). For
off-shell 4D, N = 1 systems, quark-like representations have been identified
[1] in terms of cis-Adinkras and trans-Adinkras and it has been conjectured
that arbitrary representations are composites of $n_c$-cis and $n_t$-trans
representations. Analyzing the real scalar and complex linear superfield
multiplets, these "chemical enantiomer" numbers are found to be $n_c$ = $n_t$ =
1 and $n_c$ = 1, $n_t$ = 2, respectively.
| [
{
"created": "Fri, 9 Dec 2011 16:58:59 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Apr 2012 17:09:23 GMT",
"version": "v2"
}
] | 2019-03-13 | [
[
"Gates",
"S. James",
"Jr"
],
[
"Hallett",
"Jared",
""
],
[
"Parker",
"James",
""
],
[
"Rodgers",
"Vincent G. J.",
""
],
[
"Stiffler",
"Kory",
""
]
] | We continue the development of a theory of off-shell supersymmetric representations analogous to that of compact Lie algebras such as SU(3). For off-shell 4D, N = 1 systems, quark-like representations have been identified [1] in terms of cis-Adinkras and trans-Adinkras and it has been conjectured that arbitrary representations are composites of $n_c$-cis and $n_t$-trans representations. Analyzing the real scalar and complex linear superfield multiplets, these "chemical enantiomer" numbers are found to be $n_c$ = $n_t$ = 1 and $n_c$ = 1, $n_t$ = 2, respectively. |
hep-th/0406153 | Mariano Cadoni | M. Cadoni a N. Serra | Microscopic Entropy of Non-dilatonic Branes: a 2D approach | 10 pages, no figures | Phys.Rev. D70 (2004) 126003 | 10.1103/PhysRevD.70.126003 | null | hep-th | null | We investigate non-dilatonic p-branes in the near-extremal, near-horizon
regime. A two-dimensional gravity model, obtained from dimensional reduction,
gives an effective description of the brane. We show that the AdS_p+2/CFT_p+1
correspondence at finite temperature admits an effective description in terms
of a AdS_2/CFT_1 duality endowed with a scalar field, which breaks the
conformal symmetry and generates a non-vanishing central charge. The entropy of
the CFT_1 is computed using Cardy formula. Fixing in a natural way a free,
dimensionless, parameter introduced in the model by a renormalization
procedure, we find exact agreement between the CFT_1 entropy and the
Bekenstein-Hawking entropy of the brane.
| [
{
"created": "Fri, 18 Jun 2004 10:00:55 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Serra",
"M. Cadoni a N.",
""
]
] | We investigate non-dilatonic p-branes in the near-extremal, near-horizon regime. A two-dimensional gravity model, obtained from dimensional reduction, gives an effective description of the brane. We show that the AdS_p+2/CFT_p+1 correspondence at finite temperature admits an effective description in terms of a AdS_2/CFT_1 duality endowed with a scalar field, which breaks the conformal symmetry and generates a non-vanishing central charge. The entropy of the CFT_1 is computed using Cardy formula. Fixing in a natural way a free, dimensionless, parameter introduced in the model by a renormalization procedure, we find exact agreement between the CFT_1 entropy and the Bekenstein-Hawking entropy of the brane. |
hep-th/9706068 | Wen-feng Chen | M. Chaichian, W.F. Chen and V. Ya. Fainberg | On Quantum Corrections to Chern-Simons Spinor Electrodynamics | 16 pages, RevTex, no figures, A few typewritten errors have been
corrected | Eur.Phys.J.C5:545-552,1998 | 10.1007/s100520050299 | HIP-TH-97/01 | hep-th | null | We make a detailed investigation on the quantum corrections to Chern-Simons
spinor electrodynamics. Starting from Chern-Simons spinor quantum
electrodynamics with the Maxwell term $-1/(4\gamma){\int}d^3x
F_{\mu\nu}F^{\mu\nu}$ and by calculating the vacuum polarization tensor,
electron self-energy and on-shell vertex, we explicitly show that the Ward
identity is satisfied and hence verify that the physical quantities are
independent of the procedure of taking ${\gamma}{\to}{\infty}$ at one-loop and
tree levels. In particular, we find the three-dimensional analogue of the
Schwinger anomalous magnetic moment term of the electron produced from the
quantum corrections.
| [
{
"created": "Tue, 10 Jun 1997 14:49:47 GMT",
"version": "v1"
},
{
"created": "Sun, 22 Jun 1997 15:55:21 GMT",
"version": "v2"
},
{
"created": "Tue, 1 Jul 1997 17:42:59 GMT",
"version": "v3"
}
] | 2011-09-13 | [
[
"Chaichian",
"M.",
""
],
[
"Chen",
"W. F.",
""
],
[
"Fainberg",
"V. Ya.",
""
]
] | We make a detailed investigation on the quantum corrections to Chern-Simons spinor electrodynamics. Starting from Chern-Simons spinor quantum electrodynamics with the Maxwell term $-1/(4\gamma){\int}d^3x F_{\mu\nu}F^{\mu\nu}$ and by calculating the vacuum polarization tensor, electron self-energy and on-shell vertex, we explicitly show that the Ward identity is satisfied and hence verify that the physical quantities are independent of the procedure of taking ${\gamma}{\to}{\infty}$ at one-loop and tree levels. In particular, we find the three-dimensional analogue of the Schwinger anomalous magnetic moment term of the electron produced from the quantum corrections. |
0810.1246 | Olof Ohlsson Sax | Tomasz Lukowski and Olof Ohlsson Sax | Finite size giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3 | 19 pages; v2, v3: references added, typos fixed | JHEP 0812:073,2008 | 10.1088/1126-6708/2008/12/073 | UUITP-22/08 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use the algebraic curve and Luscher's mu-term to calculate the leading
order finite size corrections to the dispersion relation of giant magnons in
the SU(2) x SU(2) sector of AdS_4 x CP^3. We consider a single magnon as well
as one magnon in each SU(2). In addition the algebraic curve computation is
generalized to give the leading order correction for an arbitrary multi-magnon
state in the SU(2) x SU(2) sector.
| [
{
"created": "Tue, 7 Oct 2008 19:42:16 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Oct 2008 06:57:18 GMT",
"version": "v2"
},
{
"created": "Fri, 31 Oct 2008 08:31:54 GMT",
"version": "v3"
}
] | 2008-12-25 | [
[
"Lukowski",
"Tomasz",
""
],
[
"Sax",
"Olof Ohlsson",
""
]
] | We use the algebraic curve and Luscher's mu-term to calculate the leading order finite size corrections to the dispersion relation of giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3. We consider a single magnon as well as one magnon in each SU(2). In addition the algebraic curve computation is generalized to give the leading order correction for an arbitrary multi-magnon state in the SU(2) x SU(2) sector. |
hep-th/0612191 | Steven B. Giddings | Michael Gary and Steven B. Giddings | Relational observables in 2d quantum gravity | 15 pages, 1 figure, harvmac. v1: reference added | Phys.Rev.D75:104007,2007 | 10.1103/PhysRevD.75.104007 | NSF-KITP-06-128 | hep-th gr-qc | null | Local observation is an important problem both for the foundations of a
quantum theory of gravity and for applications to quantum-cosmological problems
such as eternal inflation. While gauge invariant local observables can't be
defined, it has been argued that appropriate relational observables
approximately reduce to local observables in certain states. However, quantum
mechanics and gravity together imply limitations on the precision of their
localization. Such a relational framework is studied in the context of
two-dimensional gravity, where there is a high degree of analytic control. This
example furnishes a concrete example of some of the essential features of
relational observables.
| [
{
"created": "Tue, 19 Dec 2006 19:43:04 GMT",
"version": "v1"
},
{
"created": "Sat, 24 Feb 2007 00:54:50 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Gary",
"Michael",
""
],
[
"Giddings",
"Steven B.",
""
]
] | Local observation is an important problem both for the foundations of a quantum theory of gravity and for applications to quantum-cosmological problems such as eternal inflation. While gauge invariant local observables can't be defined, it has been argued that appropriate relational observables approximately reduce to local observables in certain states. However, quantum mechanics and gravity together imply limitations on the precision of their localization. Such a relational framework is studied in the context of two-dimensional gravity, where there is a high degree of analytic control. This example furnishes a concrete example of some of the essential features of relational observables. |
1403.1997 | M Movshev V. | Michael Movshev, Albert Schwarz, Renjun Xu | Integral invariants in flat superspace | 15 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We are solving for the case of flat superspace some homological problems that
were formulated by Berkovits and Howe. (Our considerations can be applied also
to the case of supertorus.) These problems arise in the attempt to construct
integrals invariant with respect to supersymmetry. They appear also in other
situations, in particular, in the pure spinor formalism in supergravity.
| [
{
"created": "Sat, 8 Mar 2014 18:45:29 GMT",
"version": "v1"
}
] | 2014-03-11 | [
[
"Movshev",
"Michael",
""
],
[
"Schwarz",
"Albert",
""
],
[
"Xu",
"Renjun",
""
]
] | We are solving for the case of flat superspace some homological problems that were formulated by Berkovits and Howe. (Our considerations can be applied also to the case of supertorus.) These problems arise in the attempt to construct integrals invariant with respect to supersymmetry. They appear also in other situations, in particular, in the pure spinor formalism in supergravity. |
hep-th/0410285 | Y. Jack Ng | Y. Jack Ng and H. van Dam (University of North Carolina) | Neutrix Calculus and Finite Quantum Field Theory | 10 pages; LaTeX; version to appear in J. Phys. A: Math. Gen. as a
Letter to the Editor | J.Phys. A38 (2005) L317 | 10.1088/0305-4470/38/18/L03 | null | hep-th gr-qc quant-ph | null | In general, quantum field theories (QFT) require regularizations and infinite
renormalizations due to ultraviolet divergences in their loop calculations.
Furthermore, perturbation series in theories like QED are not convergent
series, but are asymptotic series. We apply neutrix calculus, developed in
connection with asymptotic series and divergent integrals, to QFT,obtaining
finite renormalizations. While none of the physically measurable results in
renormalizable QFT is changed, quantum gravity is rendered more manageable in
the neutrix framework.
| [
{
"created": "Thu, 28 Oct 2004 20:37:21 GMT",
"version": "v1"
},
{
"created": "Sun, 31 Oct 2004 15:36:06 GMT",
"version": "v2"
},
{
"created": "Tue, 30 Nov 2004 17:37:25 GMT",
"version": "v3"
},
{
"created": "Mon, 4 Apr 2005 19:05:57 GMT",
"version": "v4"
}
] | 2009-11-10 | [
[
"Ng",
"Y. Jack",
"",
"University of North Carolina"
],
[
"van Dam",
"H.",
"",
"University of North Carolina"
]
] | In general, quantum field theories (QFT) require regularizations and infinite renormalizations due to ultraviolet divergences in their loop calculations. Furthermore, perturbation series in theories like QED are not convergent series, but are asymptotic series. We apply neutrix calculus, developed in connection with asymptotic series and divergent integrals, to QFT,obtaining finite renormalizations. While none of the physically measurable results in renormalizable QFT is changed, quantum gravity is rendered more manageable in the neutrix framework. |
1904.00362 | Aybike Ozer | Aybike Catal-Ozer | Non-Abelian T-duality as a Transformation in Double Field Theory | typos and signs corrected; references added | null | 10.1007/JHEP08(2019)115 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Non-Abelian T-duality (NATD) is a solution generating transformation for
supergravity backgrounds with non-Abelian isometries. We show that NATD can be
described as a coordinate dependent O(d,d) transformation, where the dependence
on the coordinates is determined by the structure constants of the Lie algebra
associated with the isometry group. Besides making calculations significantly
easier, this approach gives a natural embedding of NATD in Double Field Theory
(DFT), a framework which provides an O(d,d) covariant formulation for effective
string actions. As a result of this embedding, it becomes easy to prove that
the NATD transformed backgrounds solve supergravity equations, when the
isometry algebra is unimodular. If the isometry algebra is non-unimodular, the
generalized dilaton field is forced to have a linear dependence on the dual
coordinates, which implies that the resulting background solves generalized
supergravity equations.
| [
{
"created": "Sun, 31 Mar 2019 09:05:59 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Jun 2019 15:54:24 GMT",
"version": "v2"
},
{
"created": "Mon, 1 Jul 2019 12:50:57 GMT",
"version": "v3"
}
] | 2019-10-02 | [
[
"Catal-Ozer",
"Aybike",
""
]
] | Non-Abelian T-duality (NATD) is a solution generating transformation for supergravity backgrounds with non-Abelian isometries. We show that NATD can be described as a coordinate dependent O(d,d) transformation, where the dependence on the coordinates is determined by the structure constants of the Lie algebra associated with the isometry group. Besides making calculations significantly easier, this approach gives a natural embedding of NATD in Double Field Theory (DFT), a framework which provides an O(d,d) covariant formulation for effective string actions. As a result of this embedding, it becomes easy to prove that the NATD transformed backgrounds solve supergravity equations, when the isometry algebra is unimodular. If the isometry algebra is non-unimodular, the generalized dilaton field is forced to have a linear dependence on the dual coordinates, which implies that the resulting background solves generalized supergravity equations. |
1912.04298 | Sunil Mukhi | Sunil Mukhi, Rahul Poddar and Palash Singh | Contour Integrals and the Modular S-Matrix | 33 pages, 6 tables, ancillary Mathematica notebook attached that
computes the modular S matrix | null | 10.1007/JHEP07(2020)045 | null | hep-th cond-mat.str-el math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate a conjecture to describe the characters of large families of
RCFT's in terms of contour integrals of Feigin-Fuchs type. We provide a simple
algorithm to determine the modular S-matrix for arbitrary numbers of characters
as a sum over paths. Thereafter we focus on the case of 2, 3 and 4 characters,
where agreement between the critical exponents of the integrals and the
characters implies that the conjecture is true. In these cases, we compute the
modular S-matrix explicitly, verify that it agrees with expectations for known
theories, and use it to compute degeneracies and multiplicities of primaries.
We also compute S in an 8-character example to provide additional evidence for
the original conjecture. On the way we note that the Verlinde formula provides
interesting constraints on the critical exponents of RCFT in this context.
| [
{
"created": "Mon, 9 Dec 2019 19:00:03 GMT",
"version": "v1"
}
] | 2020-08-26 | [
[
"Mukhi",
"Sunil",
""
],
[
"Poddar",
"Rahul",
""
],
[
"Singh",
"Palash",
""
]
] | We investigate a conjecture to describe the characters of large families of RCFT's in terms of contour integrals of Feigin-Fuchs type. We provide a simple algorithm to determine the modular S-matrix for arbitrary numbers of characters as a sum over paths. Thereafter we focus on the case of 2, 3 and 4 characters, where agreement between the critical exponents of the integrals and the characters implies that the conjecture is true. In these cases, we compute the modular S-matrix explicitly, verify that it agrees with expectations for known theories, and use it to compute degeneracies and multiplicities of primaries. We also compute S in an 8-character example to provide additional evidence for the original conjecture. On the way we note that the Verlinde formula provides interesting constraints on the critical exponents of RCFT in this context. |
1708.00827 | Mojtaba Najafizadeh | Mojtaba Najafizadeh | Modified Wigner equations and continuous spin gauge field | 29 pages, v2: Subsection 3.4 was added, minor changes in relations
(3.23), (4.16) and related ones. v3: references added to match the accepted
version in PRD | Phys. Rev. D 97, 065009 (2018) | 10.1103/PhysRevD.97.065009 | IPM/P-2018/085 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we first propose the bosonic (fermionic) modified Wigner
equations for continuous spin particle (CSP). Secondly, starting from the
(Fang-)Fronsdal-like equation, we will reach to the modified action of bosonic
(fermionic) continuous spin gauge field in flat spacetime, presented recently
by Metsaev in A(dS) spacetime. We shall also explain how to obtain the proposed
modified Wigner equations from the gauge-fixed equations of motion. Finally, we
will consider the massive bosonic (fermionic) higher-spin action and, by taking
the infinite spin limit, we will arrive at the modified bosonic (fermionic) CSP
action.
| [
{
"created": "Wed, 2 Aug 2017 17:04:33 GMT",
"version": "v1"
},
{
"created": "Sun, 21 Jan 2018 14:09:48 GMT",
"version": "v2"
},
{
"created": "Sun, 18 Feb 2018 08:34:11 GMT",
"version": "v3"
}
] | 2019-01-15 | [
[
"Najafizadeh",
"Mojtaba",
""
]
] | In this paper, we first propose the bosonic (fermionic) modified Wigner equations for continuous spin particle (CSP). Secondly, starting from the (Fang-)Fronsdal-like equation, we will reach to the modified action of bosonic (fermionic) continuous spin gauge field in flat spacetime, presented recently by Metsaev in A(dS) spacetime. We shall also explain how to obtain the proposed modified Wigner equations from the gauge-fixed equations of motion. Finally, we will consider the massive bosonic (fermionic) higher-spin action and, by taking the infinite spin limit, we will arrive at the modified bosonic (fermionic) CSP action. |
hep-th/0401173 | Iosif L. Bena | Iosif Bena and Douglas Smith | Towards the solution to the giant graviton puzzle | null | Phys.Rev. D71 (2005) 025005 | 10.1103/PhysRevD.71.025005 | null | hep-th | null | In this note we present several ideas toward the solution to the giant
graviton puzzle - the apparent multiplicity of supergravity states dual to
field theory chiral primary operators. We use the fact that, for certain ranges
of the angular momentum, giant gravitons can be mapped into vacua of a dual
theory to argue that the sphere and $AdS$ giant gravitons have very different
boundary descriptions, and that an unpolarized KK graviton is unphysical in the
regime where giant gravitons exist. We also show that a generic boundary state
can correspond to different giant graviton configurations, which have
non-overlapping ranges of validity.
| [
{
"created": "Fri, 23 Jan 2004 19:52:33 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Bena",
"Iosif",
""
],
[
"Smith",
"Douglas",
""
]
] | In this note we present several ideas toward the solution to the giant graviton puzzle - the apparent multiplicity of supergravity states dual to field theory chiral primary operators. We use the fact that, for certain ranges of the angular momentum, giant gravitons can be mapped into vacua of a dual theory to argue that the sphere and $AdS$ giant gravitons have very different boundary descriptions, and that an unpolarized KK graviton is unphysical in the regime where giant gravitons exist. We also show that a generic boundary state can correspond to different giant graviton configurations, which have non-overlapping ranges of validity. |
1412.2768 | D. S. Berman | David S. Berman and Felix J. Rudolph | Strings, Branes and the Self-dual Solutions of Exceptional Field Theory | 34 pages LaTeX, v2 inclusion of brane bound states, typos corrected,
some clarifications | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It has been shown that membranes and fivebranes are wave-like or
monopole-like solutions in some higher dimensional theory. Here the picture is
completed by combining the wave and monopole solutions into a single solution
of Exceptional Field Theory. This solution solves the twisted self-duality
constraint. The 1/2 BPS brane spectrum, consisting of fundamental, solitonic
and Dirichlet branes, in ten- and eleven-dimensional supergravity may all be
extracted from this single solution of Exceptional Field Theory. The solution's
properties such as the singularity structure and its asymptotic behaviour near
the core and at infinity are investigated.
| [
{
"created": "Mon, 8 Dec 2014 21:00:50 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Oct 2015 20:21:03 GMT",
"version": "v2"
}
] | 2015-10-29 | [
[
"Berman",
"David S.",
""
],
[
"Rudolph",
"Felix J.",
""
]
] | It has been shown that membranes and fivebranes are wave-like or monopole-like solutions in some higher dimensional theory. Here the picture is completed by combining the wave and monopole solutions into a single solution of Exceptional Field Theory. This solution solves the twisted self-duality constraint. The 1/2 BPS brane spectrum, consisting of fundamental, solitonic and Dirichlet branes, in ten- and eleven-dimensional supergravity may all be extracted from this single solution of Exceptional Field Theory. The solution's properties such as the singularity structure and its asymptotic behaviour near the core and at infinity are investigated. |
1702.02431 | Mir Faizal | S. H. Hendi, A. Dehghani and Mir Faizal | Black hole thermodynamics in Lovelock gravity's rainbow with (A)dS
asymptote | 17 pages, published in Nucl Phys B | Nucl. Phys. B 914, 117 (2017) | 10.1016/j.nuclphysb.2016.10.022 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we combine Lovelock gravity with gravity's rainbow to
construct Lovelock gravity's rainbow. Considering the Lovelock gravity's
rainbow coupled to linear and also nonlinear electromagnetic gauge fields, we
present two new classes of topological black hole solutions. We compute
conserved and thermodynamic quantities of these black holes (such as
temperature, entropy, electric potential, charge and mass) and show that these
quantities satisfy the first law of thermodynamics. In order to study the
thermal stability in canonical ensemble, we calculate the heat capacity and
determinant of the Hessian matrix and show in what regions there are thermally
stable phases for black holes. Also, we discuss the dependence of thermodynamic
behavior and thermal stability of black holes on rainbow functions. Finally, we
investigate the critical behavior of black holes in the extended phase space
and study their interesting properties.
| [
{
"created": "Sat, 4 Feb 2017 21:23:55 GMT",
"version": "v1"
}
] | 2017-02-09 | [
[
"Hendi",
"S. H.",
""
],
[
"Dehghani",
"A.",
""
],
[
"Faizal",
"Mir",
""
]
] | In this paper, we combine Lovelock gravity with gravity's rainbow to construct Lovelock gravity's rainbow. Considering the Lovelock gravity's rainbow coupled to linear and also nonlinear electromagnetic gauge fields, we present two new classes of topological black hole solutions. We compute conserved and thermodynamic quantities of these black holes (such as temperature, entropy, electric potential, charge and mass) and show that these quantities satisfy the first law of thermodynamics. In order to study the thermal stability in canonical ensemble, we calculate the heat capacity and determinant of the Hessian matrix and show in what regions there are thermally stable phases for black holes. Also, we discuss the dependence of thermodynamic behavior and thermal stability of black holes on rainbow functions. Finally, we investigate the critical behavior of black holes in the extended phase space and study their interesting properties. |
1602.05326 | Ivano Lodato | Nabamita Banerjee, Sukruti Bansal and Ivano Lodato | The Resolution of an Entropy Puzzle for 4D non-BPS Black Holes | 29 pages. arXiv admin note: text overlap with arXiv:1010.2150 by
other authors | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show the equality between macroscopic and microscopic black hole entropy
for a class of four dimensional non-supersymmetric black holes in ${\cal N}=2$
supergravity theory, up to the first subleading order in their charges. This
solves a long standing entropy puzzle for this class of black holes. The
macroscopic entropy has been computed in the presence of a newly derived
higher-derivative supersymmetric invariant of \cite{{Butter:2013lta}},
connected to the five dimensional supersymmetric Weyl squared Lagrangian.
Microscopically, the crucial role in obtaining the equivalence is played by the
anomalous gauge gravitational Chern-Simons term.
| [
{
"created": "Wed, 17 Feb 2016 07:31:03 GMT",
"version": "v1"
}
] | 2016-02-22 | [
[
"Banerjee",
"Nabamita",
""
],
[
"Bansal",
"Sukruti",
""
],
[
"Lodato",
"Ivano",
""
]
] | We show the equality between macroscopic and microscopic black hole entropy for a class of four dimensional non-supersymmetric black holes in ${\cal N}=2$ supergravity theory, up to the first subleading order in their charges. This solves a long standing entropy puzzle for this class of black holes. The macroscopic entropy has been computed in the presence of a newly derived higher-derivative supersymmetric invariant of \cite{{Butter:2013lta}}, connected to the five dimensional supersymmetric Weyl squared Lagrangian. Microscopically, the crucial role in obtaining the equivalence is played by the anomalous gauge gravitational Chern-Simons term. |
hep-th/9505088 | Matt Strassler | R.G. Leigh and M.J. Strassler (Rutgers University) | Duality of Sp(2N) and SO(N) Supersymmetric Gauge Theories with Adjoint
Matter | 14 pages, no figures, uses harvmac | Phys.Lett. B356 (1995) 492-499 | 10.1016/0370-2693(95)00871-H | RU-95-30 | hep-th | null | We discuss electric-magnetic duality in two new classes of supersymmetric
Yang-Mills theories. The models have gauge group $Sp(2\nc)$ or $SO(\nc)$ with
matter in both the adjoint and defining representations. By perturbing these
theories with various superpotentials, we find a variety of new infrared fixed
points with dual descriptions. This work is complementary to that of Kutasov
and Schwimmer on $SU(\nc)$ and of Intriligator on other models involving
$Sp(2\nc)$ and $SO(\nc)$.
| [
{
"created": "Tue, 16 May 1995 05:30:03 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Leigh",
"R. G.",
"",
"Rutgers University"
],
[
"Strassler",
"M. J.",
"",
"Rutgers University"
]
] | We discuss electric-magnetic duality in two new classes of supersymmetric Yang-Mills theories. The models have gauge group $Sp(2\nc)$ or $SO(\nc)$ with matter in both the adjoint and defining representations. By perturbing these theories with various superpotentials, we find a variety of new infrared fixed points with dual descriptions. This work is complementary to that of Kutasov and Schwimmer on $SU(\nc)$ and of Intriligator on other models involving $Sp(2\nc)$ and $SO(\nc)$. |
hep-th/9411131 | Per Berglund | P. Berglund and T. Hubsch | On a Residue Representation of Deformation, Koszul and Chiral Rings | 52 pages, TeX (use harvmac) | Int. J. Mod. Phys. A10 (1995) 3381 | 10.1142/S0217751X95001649 | HUPAPP-94/103, IASSNS-HEP-94/97 | hep-th | null | A residue-theoretic representation is given for massless matter fields in
(quotients) of (weighted) \CY\ complete intersection models and the
corresponding chiral operators in \LGO{s}.
The well known polynomial deformations are thus generalized and the universal
but somewhat abstract Koszul computations acquire a concrete realization and a
general but more heuristic reinterpretation.
A direct correspondence with a BRST-type analysis of constrained systems also
emerges naturally.
| [
{
"created": "Fri, 18 Nov 1994 02:40:13 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Berglund",
"P.",
""
],
[
"Hubsch",
"T.",
""
]
] | A residue-theoretic representation is given for massless matter fields in (quotients) of (weighted) \CY\ complete intersection models and the corresponding chiral operators in \LGO{s}. The well known polynomial deformations are thus generalized and the universal but somewhat abstract Koszul computations acquire a concrete realization and a general but more heuristic reinterpretation. A direct correspondence with a BRST-type analysis of constrained systems also emerges naturally. |
hep-th/9501071 | Andy Strominger | Andy Strominger | Les Houches Lectures on Black Holes | 70 pages, 18 figures. Lectures presented at the 1994 Les Houches
Summer School ``Fluctuating Geometries in Statistical Mechanics and Field
Theory.'' (also available at http://xxx.lanl.gov/lh94/ ) | null | null | null | hep-th astro-ph gr-qc | null | Contents:
1. Introduction
2. Causal Structure and Penrose Diagrams: Minkowski Space; 1+1 Dimensional
Minkowski Space; Schwarzchild Black Holes; Gravitational Collapse and the
Vaidya Spacetimes; Event Horizons, Apparent Horizons, and Trapped Surfaces
3. Black Holes in Two Dimensions: General Relativity in the $S$-Wave Sector;
Classical Dilaton Gravity; Eternal Black Holes; Coupling to Conformal Matter;
Hawking Radiation and the Trace Anomaly; The Quantum State; Including the
Back-Reaction; The Large $N$ Approximation; Conformal Invariance and
Generalizations of Dilaton Gravity; The Soluble $RST$ Model
4. The Information Puzzle in Four Dimensions: Can the Information Come Out
Before the Endpoint?; Low-Energy Effective Descriptions of the Planckian
Endpoint; Remnants?; Information Destruction?; The Superposition Principle;
Energy Conservation The New Rules; Superselection Sectors, $\alpha$-parameters,
and the Restoration of Unitarity
5. Conclusions and Outlook
| [
{
"created": "Fri, 13 Jan 1995 00:52:53 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Strominger",
"Andy",
""
]
] | Contents: 1. Introduction 2. Causal Structure and Penrose Diagrams: Minkowski Space; 1+1 Dimensional Minkowski Space; Schwarzchild Black Holes; Gravitational Collapse and the Vaidya Spacetimes; Event Horizons, Apparent Horizons, and Trapped Surfaces 3. Black Holes in Two Dimensions: General Relativity in the $S$-Wave Sector; Classical Dilaton Gravity; Eternal Black Holes; Coupling to Conformal Matter; Hawking Radiation and the Trace Anomaly; The Quantum State; Including the Back-Reaction; The Large $N$ Approximation; Conformal Invariance and Generalizations of Dilaton Gravity; The Soluble $RST$ Model 4. The Information Puzzle in Four Dimensions: Can the Information Come Out Before the Endpoint?; Low-Energy Effective Descriptions of the Planckian Endpoint; Remnants?; Information Destruction?; The Superposition Principle; Energy Conservation The New Rules; Superselection Sectors, $\alpha$-parameters, and the Restoration of Unitarity 5. Conclusions and Outlook |
hep-th/0208156 | Andrei Linde | Renata Kallosh, Andrei Linde, Sergey Prokushkin and Marina Shmakova | Supergravity, Dark Energy and the Fate of the Universe | 20 pages, 13 figures, discussion of the axion quintessence model is
added | Phys.Rev.D66:123503,2002 | 10.1103/PhysRevD.66.123503 | SLAC-PUB-9408 | hep-th astro-ph gr-qc hep-ph | null | We propose a description of dark energy and acceleration of the universe in
extended supergravities with de Sitter (dS) solutions. Some of them are related
to M-theory with non-compact internal spaces. Masses of ultra-light scalars in
these models are quantized in units of the Hubble constant: m^2 = n H^2. If dS
solution corresponds to a minimum of the effective potential, the universe
eventually becomes dS space. If dS solution corresponds to a maximum or a
saddle point, which is the case in all known models based on N=8 supergravity,
the flat universe eventually stops accelerating and collapses to a singularity.
We show that in these models, as well as in the simplest models of dark energy
based on N=1 supergravity, the typical time remaining before the global
collapse is comparable to the present age of the universe, t = O(10^{10})
years. We discuss the possibility of distinguishing between various models and
finding our destiny using cosmological observations.
| [
{
"created": "Wed, 21 Aug 2002 19:56:28 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Aug 2002 21:02:19 GMT",
"version": "v2"
}
] | 2009-09-29 | [
[
"Kallosh",
"Renata",
""
],
[
"Linde",
"Andrei",
""
],
[
"Prokushkin",
"Sergey",
""
],
[
"Shmakova",
"Marina",
""
]
] | We propose a description of dark energy and acceleration of the universe in extended supergravities with de Sitter (dS) solutions. Some of them are related to M-theory with non-compact internal spaces. Masses of ultra-light scalars in these models are quantized in units of the Hubble constant: m^2 = n H^2. If dS solution corresponds to a minimum of the effective potential, the universe eventually becomes dS space. If dS solution corresponds to a maximum or a saddle point, which is the case in all known models based on N=8 supergravity, the flat universe eventually stops accelerating and collapses to a singularity. We show that in these models, as well as in the simplest models of dark energy based on N=1 supergravity, the typical time remaining before the global collapse is comparable to the present age of the universe, t = O(10^{10}) years. We discuss the possibility of distinguishing between various models and finding our destiny using cosmological observations. |
hep-th/9509002 | Jouko Mickelsson | Jouko Mickelsson (KTH, Stockholm) | Schwinger terms, gerbes, and operator residues | Lectures given at the Banach Center symposium "Differential Geometry
and Mathematical Physics", May 15 - 23, 1995. This is an AMS-TEX file. 18
output pages | null | null | null | hep-th | null | These notes explain recent developments concerning chiral anomalies and
hamiltonian quantization, their relation to the theory of gerbes, and
extensions of generalized loop algebras using the residue calculus of
pseudodifferential operators. The renormalization of the Dirac field, leading
to Schwinger terms in equal time commutation relations, is treated in a
mathematically rigorous manner. The same renormalization can be used to prove
the existence of S-operator in background field problems.
| [
{
"created": "Fri, 1 Sep 1995 10:28:15 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Mickelsson",
"Jouko",
"",
"KTH, Stockholm"
]
] | These notes explain recent developments concerning chiral anomalies and hamiltonian quantization, their relation to the theory of gerbes, and extensions of generalized loop algebras using the residue calculus of pseudodifferential operators. The renormalization of the Dirac field, leading to Schwinger terms in equal time commutation relations, is treated in a mathematically rigorous manner. The same renormalization can be used to prove the existence of S-operator in background field problems. |
2005.11632 | Jorge Noronha | Fabio S. Bemfica, Marcelo M. Disconzi, Vu Hoang, Jorge Noronha, Maria
Radosz | Nonlinear Constraints on Relativistic Fluids Far From Equilibrium | 18 pages, 1 figure | Phys. Rev. Lett. 126, 222301 (2021) | 10.1103/PhysRevLett.126.222301 | null | hep-th gr-qc math-ph math.MP nucl-th physics.flu-dyn | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | New constraints are found that must necessarily hold for Israel-Stewart-like
theories of fluid dynamics to be causal far away from equilibrium. Conditions
that are sufficient to ensure causality, local existence, and uniqueness of
solutions in these theories are also presented. Our results hold in the full
nonlinear regime, taking into account bulk and shear viscosities (at zero
chemical potential), without any simplifying symmetry or near-equilibrium
assumptions. Our findings provide fundamental constraints on the magnitude of
viscous corrections in fluid dynamics far from equilibrium.
| [
{
"created": "Sun, 24 May 2020 01:02:38 GMT",
"version": "v1"
}
] | 2021-06-09 | [
[
"Bemfica",
"Fabio S.",
""
],
[
"Disconzi",
"Marcelo M.",
""
],
[
"Hoang",
"Vu",
""
],
[
"Noronha",
"Jorge",
""
],
[
"Radosz",
"Maria",
""
]
] | New constraints are found that must necessarily hold for Israel-Stewart-like theories of fluid dynamics to be causal far away from equilibrium. Conditions that are sufficient to ensure causality, local existence, and uniqueness of solutions in these theories are also presented. Our results hold in the full nonlinear regime, taking into account bulk and shear viscosities (at zero chemical potential), without any simplifying symmetry or near-equilibrium assumptions. Our findings provide fundamental constraints on the magnitude of viscous corrections in fluid dynamics far from equilibrium. |
2207.07064 | Fernando Miguel Hahne | F. M. Hahne, P. Klimas | Compact kink and its interaction with compact oscillons | 37 pages, 27 figures | null | 10.1007/JHEP09(2022)100 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study compact kinks and its interaction with compact oscillons in models
with non-analytic potentials. Oscillon-like excitations are the main
ingredients of the radiation field. We look at the problem of scattering which
involves topological compact kinks and non-topological oscillons. We also look
at the problem of propagation of small perturbation at the kink bulk.
| [
{
"created": "Thu, 14 Jul 2022 17:04:30 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Aug 2022 19:05:37 GMT",
"version": "v2"
}
] | 2022-09-15 | [
[
"Hahne",
"F. M.",
""
],
[
"Klimas",
"P.",
""
]
] | We study compact kinks and its interaction with compact oscillons in models with non-analytic potentials. Oscillon-like excitations are the main ingredients of the radiation field. We look at the problem of scattering which involves topological compact kinks and non-topological oscillons. We also look at the problem of propagation of small perturbation at the kink bulk. |
1712.03879 | Jan Ambjorn | J. Ambjorn, L. Chekhov and Y. Makeenko | Perturbed generalized multicritical one-matrix models | 2 figures | null | 10.1016/j.nuclphysb.2018.01.008 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study perturbations around the generalized Kazakov multicritical
one-matrix model. The multicritical matrix model has a potential where the
coefficients of $z^n$ only fall off as a power $1/n^{s+1}$. This implies that
the potential and its derivatives have a cut along the real axis, leading to
technical problems when one performs perturbations away from the generalized
Kazakov model. Nevertheless it is possible to relate the perturbed partition
function to the tau-function of a KdV hierarchy and solve the model by a genus
expansion in the double scaling limit.
| [
{
"created": "Mon, 11 Dec 2017 16:44:43 GMT",
"version": "v1"
}
] | 2018-03-14 | [
[
"Ambjorn",
"J.",
""
],
[
"Chekhov",
"L.",
""
],
[
"Makeenko",
"Y.",
""
]
] | We study perturbations around the generalized Kazakov multicritical one-matrix model. The multicritical matrix model has a potential where the coefficients of $z^n$ only fall off as a power $1/n^{s+1}$. This implies that the potential and its derivatives have a cut along the real axis, leading to technical problems when one performs perturbations away from the generalized Kazakov model. Nevertheless it is possible to relate the perturbed partition function to the tau-function of a KdV hierarchy and solve the model by a genus expansion in the double scaling limit. |
hep-th/0109170 | Tamas Hauer | Tamas Hauer and Morten Krogh | D-branes in Nonabelian Orbifolds with Discrete Torsion | 21 pages LaTeX, one eps figure | null | null | CERN-TH/2001-245 | hep-th | null | We study IIB string theory on the orbifold R^8/Gamma with discrete torsion
where Gamma is an arbitrary subgroup of U(4). We extend some previously known
identities for discrete torsion in abelian groups to nonabelian groups. We
construct explicit formulas for a large class of fractional D-brane states and
prove that the physical states are classified by projective representations of
the orbifold group as predicted originally by Douglas. The boundary states are
found to be linear combinations of Ishibashi states with the coefficients being
characters of the projective representations.
| [
{
"created": "Fri, 21 Sep 2001 12:18:55 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Hauer",
"Tamas",
""
],
[
"Krogh",
"Morten",
""
]
] | We study IIB string theory on the orbifold R^8/Gamma with discrete torsion where Gamma is an arbitrary subgroup of U(4). We extend some previously known identities for discrete torsion in abelian groups to nonabelian groups. We construct explicit formulas for a large class of fractional D-brane states and prove that the physical states are classified by projective representations of the orbifold group as predicted originally by Douglas. The boundary states are found to be linear combinations of Ishibashi states with the coefficients being characters of the projective representations. |
hep-th/0207057 | Buchholz | Detlev Buchholz, Jens Mund, Stephen J. Summers | Covariant and quasi-covariant quantum dynamics in Robertson-Walker
space-times | 21 pages, 1 figure | Class.Quant.Grav. 19 (2002) 6417-6434 | 10.1088/0264-9381/19/24/310 | null | hep-th gr-qc math-ph math.MP | null | We propose a canonical description of the dynamics of quantum systems on a
class of Robertson-Walker space-times. We show that the worldline of an
observer in such space-times determines a unique orbit in the local conformal
group SO(4,1) of the space-time and that this orbit determines a unique
transport on the space-time. For a quantum system on the space-time modeled by
a net of local algebras, the associated dynamics is expressed via a suitable
family of ``propagators''. In the best of situations, this dynamics is
covariant, but more typically the dynamics will be ``quasi-covariant'' in a
sense we make precise. We then show by using our technique of ``transplanting''
states and nets of local algebras from de Sitter space to Robertson-Walker
space that there exist quantum systems on Robertson-Walker spaces with
quasi-covariant dynamics. The transplanted state is locally passive, in an
appropriate sense, with respect to this dynamics.
| [
{
"created": "Sat, 6 Jul 2002 14:15:37 GMT",
"version": "v1"
}
] | 2022-05-04 | [
[
"Buchholz",
"Detlev",
""
],
[
"Mund",
"Jens",
""
],
[
"Summers",
"Stephen J.",
""
]
] | We propose a canonical description of the dynamics of quantum systems on a class of Robertson-Walker space-times. We show that the worldline of an observer in such space-times determines a unique orbit in the local conformal group SO(4,1) of the space-time and that this orbit determines a unique transport on the space-time. For a quantum system on the space-time modeled by a net of local algebras, the associated dynamics is expressed via a suitable family of ``propagators''. In the best of situations, this dynamics is covariant, but more typically the dynamics will be ``quasi-covariant'' in a sense we make precise. We then show by using our technique of ``transplanting'' states and nets of local algebras from de Sitter space to Robertson-Walker space that there exist quantum systems on Robertson-Walker spaces with quasi-covariant dynamics. The transplanted state is locally passive, in an appropriate sense, with respect to this dynamics. |
1011.0240 | Sergei V. Ketov | Sergei V. Ketov and Alexei A. Starobinsky | Embedding (R+R^2)-Inflation into Supergravity | 4 pages, revtex, no figures (very minor additions, a reference added) | Phys.Rev.D83:063512,2011 | 10.1103/PhysRevD.83.063512 | RESCEU-24/10 | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We find the natural embedding of the (R+R^2)-inflationary model into the
recently constructed N=1 F(\cal R)-supergravity. It gives a simple and viable
realization of chaotic inflation in supergravity. The only requirement for a
slow-roll inflation is the existence of the (\cal R)^3-term with an anomalously
large coefficient in Taylor expansion of the F(\cal R) function, where \cal R
is the covariantly-chiral scalar supercurvature superfield.
| [
{
"created": "Mon, 1 Nov 2010 02:20:45 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Feb 2011 05:49:34 GMT",
"version": "v2"
}
] | 2011-03-22 | [
[
"Ketov",
"Sergei V.",
""
],
[
"Starobinsky",
"Alexei A.",
""
]
] | We find the natural embedding of the (R+R^2)-inflationary model into the recently constructed N=1 F(\cal R)-supergravity. It gives a simple and viable realization of chaotic inflation in supergravity. The only requirement for a slow-roll inflation is the existence of the (\cal R)^3-term with an anomalously large coefficient in Taylor expansion of the F(\cal R) function, where \cal R is the covariantly-chiral scalar supercurvature superfield. |
hep-th/0105059 | Washington Taylor | David J. Gross (ITP) and Washington Taylor (ITP, MIT) | Split string field theory I | 23 pages, Latex; v2: references added, typos fixed, footnote added | JHEP 0108:009,2001 | 10.1088/1126-6708/2001/08/009 | NSF-ITP-01-33, MIT-CTP-3130 | hep-th | null | We describe projection operators in the matter sector of Witten's cubic
string field theory using modes on the right and left halves of the string.
These projection operators represent a step towards an analytic solution of the
equations of motion of the full string field theory, and can be used to
construct Dp-brane solutions of the string field theory when the BRST operator
Q is taken to be pure ghost, as suggested in the recent conjecture by Rastelli,
Sen and Zwiebach. We show that a family of solutions related to the sliver
state are rank one projection operators on the appropriate space of half-string
functionals, and we construct higher rank projection operators corresponding to
configurations of multiple D-branes.
| [
{
"created": "Mon, 7 May 2001 19:18:19 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Jun 2001 23:44:01 GMT",
"version": "v2"
}
] | 2010-02-03 | [
[
"Gross",
"David J.",
"",
"ITP"
],
[
"Taylor",
"Washington",
"",
"ITP, MIT"
]
] | We describe projection operators in the matter sector of Witten's cubic string field theory using modes on the right and left halves of the string. These projection operators represent a step towards an analytic solution of the equations of motion of the full string field theory, and can be used to construct Dp-brane solutions of the string field theory when the BRST operator Q is taken to be pure ghost, as suggested in the recent conjecture by Rastelli, Sen and Zwiebach. We show that a family of solutions related to the sliver state are rank one projection operators on the appropriate space of half-string functionals, and we construct higher rank projection operators corresponding to configurations of multiple D-branes. |
hep-th/9605061 | Ji-Deog Kim | J.D. Kim and I.G. Koh | Square Root Singularity in Boundary Reflection Matrix | 10 pages, latex file | Phys.Lett. B388 (1996) 550-556 | 10.1016/S0370-2693(96)01185-9 | KAIST/THP-96/702 | hep-th | null | Two-particle scattering amplitudes for integrable relativistic quantum field
theory in 1+1 dimensions can normally have at most singularities of poles and
zeros along the imaginary axis in the complex rapidity plane. It has been
supposed that single particle amplitudes of the exact boundary reflection
matrix exhibit the same structure. In this paper, single particle amplitudes of
the exact boundary reflection matrix corresponding to the Neumann boundary
condition for affine Toda field theory associated with twisted affine algebras
$a_{2n}^{(2)}$ are conjectured, based on one-loop result, as having a new kind
of square root singularity.
| [
{
"created": "Thu, 9 May 1996 06:34:00 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Kim",
"J. D.",
""
],
[
"Koh",
"I. G.",
""
]
] | Two-particle scattering amplitudes for integrable relativistic quantum field theory in 1+1 dimensions can normally have at most singularities of poles and zeros along the imaginary axis in the complex rapidity plane. It has been supposed that single particle amplitudes of the exact boundary reflection matrix exhibit the same structure. In this paper, single particle amplitudes of the exact boundary reflection matrix corresponding to the Neumann boundary condition for affine Toda field theory associated with twisted affine algebras $a_{2n}^{(2)}$ are conjectured, based on one-loop result, as having a new kind of square root singularity. |
hep-th/9906104 | Oktay Pashaev | Oktay K. Pashaev and Jyh-Hao Lee | Chern-Simons Solitons in Quantum Potential | Tex, 12 pages, 3 figures | null | 10.1016/S0960-0779(99)00139-3 | MIAS 99-2 | hep-th nlin.SI solv-int | null | The self-dual Chern-Simons solitons under the influence of the quantum
potential are considered. The single-valuedness condition for an arbitrary
integer number $N \ge 0$ of solitons leads to quantization of Chern-Simons
coupling constant $\kappa = m {e^{2} \over g}$, and the integer strength of
quantum potential $s = 1 - m^{2}$. As we show, the Jackiw-Pi model corresponds
to the first member (m = 1) of our hierarchy of the Chern-Simons gauged
nonlinear Schr\"odinger models, admitting self-dual solitons. New type of
exponentially localized Chern-Simons solitons for the Bloch electrons near the
hyperbolic energy band boundary are found.
| [
{
"created": "Tue, 15 Jun 1999 05:02:18 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Pashaev",
"Oktay K.",
""
],
[
"Lee",
"Jyh-Hao",
""
]
] | The self-dual Chern-Simons solitons under the influence of the quantum potential are considered. The single-valuedness condition for an arbitrary integer number $N \ge 0$ of solitons leads to quantization of Chern-Simons coupling constant $\kappa = m {e^{2} \over g}$, and the integer strength of quantum potential $s = 1 - m^{2}$. As we show, the Jackiw-Pi model corresponds to the first member (m = 1) of our hierarchy of the Chern-Simons gauged nonlinear Schr\"odinger models, admitting self-dual solitons. New type of exponentially localized Chern-Simons solitons for the Bloch electrons near the hyperbolic energy band boundary are found. |
hep-th/0701114 | Pascal Anastasopoulos | Pascal Anastasopoulos (Roma U "Tor Vergata" - INFN) | Anomalous U(1)'s, Chern-Simons couplings and the Standard Model | 9 pages, 2 eps figures, LaTeX, feynmf & youngtab packages. (v2:
references added). Contribution to the proceedings of the RTN project
"Constituents, Fundamental Forces and Symmetries of the Universe" conference
in Naples, October 9 - 13, 2006 and the PRIN meeting in Alessandria, December
15-16, 2006 | Fortsch.Phys.55:633-638,2007 | 10.1002/prop.200610337 | ROM2F/2007/01 | hep-th | null | This proceeding is based on hep-th/0605225 and it shows that the most general
anomaly related effective action contains Stuckelberg, axionic and
Chern-Simons-like couplings. Such couplings are generically non-trivial in
orientifold string vacua. A similar analysis in quantum field theories provides
similar couplings. These Chern-Simons couplings generate new signals which
might be visible at LHC.
| [
{
"created": "Fri, 12 Jan 2007 11:21:39 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Feb 2007 10:10:54 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Anastasopoulos",
"Pascal",
"",
"Roma U \"Tor Vergata\" - INFN"
]
] | This proceeding is based on hep-th/0605225 and it shows that the most general anomaly related effective action contains Stuckelberg, axionic and Chern-Simons-like couplings. Such couplings are generically non-trivial in orientifold string vacua. A similar analysis in quantum field theories provides similar couplings. These Chern-Simons couplings generate new signals which might be visible at LHC. |
1808.04950 | Jianxin Lu | J. X. Lu | A distinctive signature of extra-dimensions: The enhanced open string
pair production | 9 pages, typos corrected, the improved version | null | 10.1016/j.physletb.2018.11.057 | USTC-ICTS-18-14 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In analogy to the Schwinger pair production in QED, there exists also the
so-called open string pair production for a system of two Dp branes, placed
parallel at a separation, with at least one brane carrying a worldvolume
electric flux, in Type II string theories. There is however no such pair
production if an isolated Dp brane carrying an electric flux is considered. The
produced open strings are directly related to the brane separation, therefore
to the extra-dimensions if taken from the viewpoint of a brane observer. This
pair production can be greatly enhanced if one Dp brane carries also a magnetic
flux. The largest pair production rate occurs for $p = 3$, i.e., the D3 brane
system, with the same applied fluxes. A detection of this pair production by
the brane observer as the charged particle/anti-charged particle pair one shall
signal the existence of extra-dimensions and therefore provides a potential
means to test the underlying string theories.
| [
{
"created": "Wed, 15 Aug 2018 02:30:19 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Sep 2018 06:04:34 GMT",
"version": "v2"
}
] | 2018-12-05 | [
[
"Lu",
"J. X.",
""
]
] | In analogy to the Schwinger pair production in QED, there exists also the so-called open string pair production for a system of two Dp branes, placed parallel at a separation, with at least one brane carrying a worldvolume electric flux, in Type II string theories. There is however no such pair production if an isolated Dp brane carrying an electric flux is considered. The produced open strings are directly related to the brane separation, therefore to the extra-dimensions if taken from the viewpoint of a brane observer. This pair production can be greatly enhanced if one Dp brane carries also a magnetic flux. The largest pair production rate occurs for $p = 3$, i.e., the D3 brane system, with the same applied fluxes. A detection of this pair production by the brane observer as the charged particle/anti-charged particle pair one shall signal the existence of extra-dimensions and therefore provides a potential means to test the underlying string theories. |
hep-th/9705059 | Dongsu Bak | Dongsu Bak and Hyunsoo Min | Radiation Damping of a BPS Monopole; an Implication to S-duality | 20 pages, uses revtex, changes in references | Phys.Rev. D56 (1997) 6665-6672 | 10.1103/PhysRevD.56.6665 | SCU-TP-97-1001, SNUTP-97-041 | hep-th | null | The radiation reaction of a BPS monopole in the presence of incident
electromagnetic waves as well as massless Higgs waves is analyzed classically.
The reactive forces are compared to those of $W$ boson that is interpreted as a
dual partner of the BPS monopole. It is shown that the damping of acceleration
is dual to each other, while in the case of finite size effects the duality is
broken explicitly. Their implications on the duality are discussed.
| [
{
"created": "Fri, 9 May 1997 09:04:41 GMT",
"version": "v1"
},
{
"created": "Tue, 13 May 1997 05:25:52 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Bak",
"Dongsu",
""
],
[
"Min",
"Hyunsoo",
""
]
] | The radiation reaction of a BPS monopole in the presence of incident electromagnetic waves as well as massless Higgs waves is analyzed classically. The reactive forces are compared to those of $W$ boson that is interpreted as a dual partner of the BPS monopole. It is shown that the damping of acceleration is dual to each other, while in the case of finite size effects the duality is broken explicitly. Their implications on the duality are discussed. |
hep-th/9209131 | Judy Mack | C. R. Hagen | Comment on Disassembling Anyons | 3 pages | null | null | UR-1276 | hep-th | null | It is pointed out that Chern-Simons theories do not allow an anyon
interpretation when spin is included.
| [
{
"created": "Wed, 30 Sep 1992 16:33:00 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Hagen",
"C. R.",
""
]
] | It is pointed out that Chern-Simons theories do not allow an anyon interpretation when spin is included. |
1106.3991 | Antonino Flachi | Antonino Flachi and Takahiro Tanaka | Chiral Phase Transitions around Black Holes | 4 pages; 3 figures | null | 10.1103/PhysRevD.84.061503 | null | hep-th astro-ph.HE gr-qc hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we discuss the possibility that chiral phase transitions,
analogous to those of QCD, occur in the vicinity of a black hole. If the black
hole is surrounded by a gas of strongly interacting particles, an inhomogeneous
condensate will form. We demonstrate this by explicitly constructing
self-consistent solutions.
| [
{
"created": "Mon, 20 Jun 2011 19:00:02 GMT",
"version": "v1"
}
] | 2015-05-28 | [
[
"Flachi",
"Antonino",
""
],
[
"Tanaka",
"Takahiro",
""
]
] | In this paper we discuss the possibility that chiral phase transitions, analogous to those of QCD, occur in the vicinity of a black hole. If the black hole is surrounded by a gas of strongly interacting particles, an inhomogeneous condensate will form. We demonstrate this by explicitly constructing self-consistent solutions. |
0908.2394 | Cristian Vergu | C. Vergu | The two-loop MHV amplitudes in N=4 supersymmetric Yang-Mills theory | null | null | 10.1103/PhysRevD.80.125025 | Brown/HET-1585 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the even part of the planar two-loop MHV amplitude in N=4
supersymmetric Yang-Mills theory, for an arbitrary number of external
particles. The answer is expressed as a sum of conformal integrals.
| [
{
"created": "Mon, 17 Aug 2009 16:51:46 GMT",
"version": "v1"
}
] | 2013-05-29 | [
[
"Vergu",
"C.",
""
]
] | We compute the even part of the planar two-loop MHV amplitude in N=4 supersymmetric Yang-Mills theory, for an arbitrary number of external particles. The answer is expressed as a sum of conformal integrals. |
2312.14108 | Chethan Krishnan | Vaibhav Burman, Suchetan Das, Chethan Krishnan | A Smooth Horizon without a Smooth Horizon | V2: JHEP version + very minor improvements, v3: Clearer discussion
about (averages over) eigenstates vs microcanonical typical states. Results
and conclusions unchanged | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recent observations on type III algebras in AdS/CFT raise the possibility
that smoothness of the black hole horizon is an emergent feature of the
large-$N$ limit. In this paper, we present a $bulk$ model for the finite-$N$
mechanism underlying this transition. We quantize a free scalar field on a BTZ
black hole with a Planckian stretched horizon placed as a Dirichlet boundary
for the field. This is a tractable model for the stretched horizon that does
not ignore the angular directions, and it defines a black hole vacuum which has
similarities to (but is distinct from) the Boulware state. Using analytic
approximations for the normal modes, we first improve upon 't Hooft's brick
wall calculation: we are able to match $both$ the entropy and the temperature,
$exactly$. Emboldened by this, we compute the boundary Wightman function of the
scalar field in a typical pure state built on our stretched horizon vacuum, at
an energy sliver at the mass of the black hole. A key result is that despite
the manifest lack of smoothness, this single-sided pure state calculation
yields precisely the Hartle-Hawking thermal correlator associated to the smooth
horizon, in the small-$G_N$ limit. At finite $G_N$, there are variance
corrections that are suppressed as $\mathcal{O}(e^{-S_{BH}/2})$. They become
important at late times and resolve Maldacena's information paradox. Highly
excited typical pure states on the stretched horizon vacuum are therefore
models for black hole microstates, while the smooth horizon describes the
thermal state. We note that heavy excited states on the stretched horizon are
better defined than the vacuum itself. These results suggest that
complementarity in the bulk EFT could arise from a UV complete bulk description
in which the black hole interior is not manifest.
| [
{
"created": "Thu, 21 Dec 2023 18:32:06 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Mar 2024 08:51:32 GMT",
"version": "v2"
},
{
"created": "Mon, 29 Apr 2024 06:51:46 GMT",
"version": "v3"
}
] | 2024-04-30 | [
[
"Burman",
"Vaibhav",
""
],
[
"Das",
"Suchetan",
""
],
[
"Krishnan",
"Chethan",
""
]
] | Recent observations on type III algebras in AdS/CFT raise the possibility that smoothness of the black hole horizon is an emergent feature of the large-$N$ limit. In this paper, we present a $bulk$ model for the finite-$N$ mechanism underlying this transition. We quantize a free scalar field on a BTZ black hole with a Planckian stretched horizon placed as a Dirichlet boundary for the field. This is a tractable model for the stretched horizon that does not ignore the angular directions, and it defines a black hole vacuum which has similarities to (but is distinct from) the Boulware state. Using analytic approximations for the normal modes, we first improve upon 't Hooft's brick wall calculation: we are able to match $both$ the entropy and the temperature, $exactly$. Emboldened by this, we compute the boundary Wightman function of the scalar field in a typical pure state built on our stretched horizon vacuum, at an energy sliver at the mass of the black hole. A key result is that despite the manifest lack of smoothness, this single-sided pure state calculation yields precisely the Hartle-Hawking thermal correlator associated to the smooth horizon, in the small-$G_N$ limit. At finite $G_N$, there are variance corrections that are suppressed as $\mathcal{O}(e^{-S_{BH}/2})$. They become important at late times and resolve Maldacena's information paradox. Highly excited typical pure states on the stretched horizon vacuum are therefore models for black hole microstates, while the smooth horizon describes the thermal state. We note that heavy excited states on the stretched horizon are better defined than the vacuum itself. These results suggest that complementarity in the bulk EFT could arise from a UV complete bulk description in which the black hole interior is not manifest. |
1703.10095 | Pierre Heidmann | Pierre Heidmann | Four-center bubbled BPS solutions with a Gibbons-Hawking base | 23 pages, 16 figures; v2: minor corrections | null | 10.1007/JHEP10(2017)009 | IPhT-T17/028 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct four-center bubbled BPS solutions with a Gibbons-Hawking base
space. We give a systematic procedure to build scaling solutions: starting from
three-supertube configurations and using generalized spectral flows and gauge
transformations to extend to solutions with four Gibbons-Hawking centers. This
allows us to construct very large families of smooth horizonless solutions that
have the same charges and angular momentum as supersymmetric black holes with a
macroscopically large horizon area. Our construction reveals that all scaling
solutions with four Gibbons Hawking centers have an angular momentum at around
99% of the cosmic censorship bound. We give both an analytical and a numerical
explanation for this unexpected feature.
| [
{
"created": "Wed, 29 Mar 2017 15:23:51 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Apr 2017 09:55:30 GMT",
"version": "v2"
}
] | 2017-10-25 | [
[
"Heidmann",
"Pierre",
""
]
] | We construct four-center bubbled BPS solutions with a Gibbons-Hawking base space. We give a systematic procedure to build scaling solutions: starting from three-supertube configurations and using generalized spectral flows and gauge transformations to extend to solutions with four Gibbons-Hawking centers. This allows us to construct very large families of smooth horizonless solutions that have the same charges and angular momentum as supersymmetric black holes with a macroscopically large horizon area. Our construction reveals that all scaling solutions with four Gibbons Hawking centers have an angular momentum at around 99% of the cosmic censorship bound. We give both an analytical and a numerical explanation for this unexpected feature. |
0707.2590 | Fernando T. C. Brandt | F. T. Brandt, J. Frenkel and D. G. C. McKeon | General Covariant Gauge Fixing for Massless Spin-Two Fields | 8 pages, 4 figures. Revised version to be published in Physical
Review D | Phys.Rev.D76:105029,2007 | 10.1103/PhysRevD.76.105029 | null | hep-th | null | The most general covariant gauge fixing Lagrangian is considered for a
spin-two gauge theory in the context of the Faddeev-Popov procedure. In
general, five parameters characterize this gauge fixing. Certain limiting
values for these parameters give rise to a spin-two propagator that is either
traceless or transverse, but for no values of these parameters is this
propagator simultaneously traceless and transverse. Having a
traceless-transverse (TT) propagator ensures that only the physical degrees of
freedom associated with the tensor field propagate, and hence it is analogous
to the Landau gauge in electrodynamics. To obtain such a traceless-transverse
propagator, a gauge fixing Lagrangian which is not quadratic must be employed;
this sort of gauge fixing Lagrangian is not encountered in the usual
Faddeev-Popov procedure. It is shown that when this non-quadratic gauge fixing
Lagrangian is used, two Fermionic and one Bosonic ghost arise. As a simple
application we discuss the energy-momentum tensor of the gravitational field at
finite temperature.
| [
{
"created": "Tue, 17 Jul 2007 19:17:55 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Sep 2007 20:20:50 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Brandt",
"F. T.",
""
],
[
"Frenkel",
"J.",
""
],
[
"McKeon",
"D. G. C.",
""
]
] | The most general covariant gauge fixing Lagrangian is considered for a spin-two gauge theory in the context of the Faddeev-Popov procedure. In general, five parameters characterize this gauge fixing. Certain limiting values for these parameters give rise to a spin-two propagator that is either traceless or transverse, but for no values of these parameters is this propagator simultaneously traceless and transverse. Having a traceless-transverse (TT) propagator ensures that only the physical degrees of freedom associated with the tensor field propagate, and hence it is analogous to the Landau gauge in electrodynamics. To obtain such a traceless-transverse propagator, a gauge fixing Lagrangian which is not quadratic must be employed; this sort of gauge fixing Lagrangian is not encountered in the usual Faddeev-Popov procedure. It is shown that when this non-quadratic gauge fixing Lagrangian is used, two Fermionic and one Bosonic ghost arise. As a simple application we discuss the energy-momentum tensor of the gravitational field at finite temperature. |
1310.1224 | Kenichi Konishi | Jarah Evslin, Kenichi Konishi, Muneto Nitta, Keisuke Ohashi, Walter
Vinci | Non-Abelian Vortices with an Aharonov-Bohm Effect | Latex 28 pages | JHEP 1401:086,2014 | 10.1007/JHEP01(2014)086 | IFUP-TH/2013-18, OCU-PHYS 392 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The interplay of gauge dynamics and flavor symmetries often leads to
remarkably subtle phenomena in the presence of soliton configurations.
Non-Abelian vortices -- vortex solutions with continuous internal orientational
moduli -- provide an example. Here we study the effect of weakly gauging a
U(1)_R subgroup of the flavor symmetry on such BPS vortex solutions. Our
prototypical setting consists of an SU(2) x U(1) gauge theory with N_f=2 sets
of fundamental scalars that break the gauge symmetry to an "electromagnetic"
U(1). The weak U(1)_R gauging converts the well-known CP1 orientation modulus
|B| of the non-Abelian vortex into a parameter characterizing the strength of
the magnetic field that is responsible for the Aharonov-Bohm effect. As the
phase of B remains a genuine zero mode while the electromagnetic gauge symmetry
is Higgsed in the interior of the vortex, these solutions are superconducting
strings.
| [
{
"created": "Fri, 4 Oct 2013 11:11:56 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Nov 2013 20:49:48 GMT",
"version": "v2"
},
{
"created": "Mon, 23 Dec 2013 09:22:52 GMT",
"version": "v3"
}
] | 2014-01-23 | [
[
"Evslin",
"Jarah",
""
],
[
"Konishi",
"Kenichi",
""
],
[
"Nitta",
"Muneto",
""
],
[
"Ohashi",
"Keisuke",
""
],
[
"Vinci",
"Walter",
""
]
] | The interplay of gauge dynamics and flavor symmetries often leads to remarkably subtle phenomena in the presence of soliton configurations. Non-Abelian vortices -- vortex solutions with continuous internal orientational moduli -- provide an example. Here we study the effect of weakly gauging a U(1)_R subgroup of the flavor symmetry on such BPS vortex solutions. Our prototypical setting consists of an SU(2) x U(1) gauge theory with N_f=2 sets of fundamental scalars that break the gauge symmetry to an "electromagnetic" U(1). The weak U(1)_R gauging converts the well-known CP1 orientation modulus |B| of the non-Abelian vortex into a parameter characterizing the strength of the magnetic field that is responsible for the Aharonov-Bohm effect. As the phase of B remains a genuine zero mode while the electromagnetic gauge symmetry is Higgsed in the interior of the vortex, these solutions are superconducting strings. |
hep-th/0105083 | Henric Larsson | Henric Larsson | A note on half-supersymmetric bound states in M-theory and type IIA | Latex. 14 pages, minor changes | Class.Quant.Grav. 19 (2002) 2689-2698 | 10.1088/0264-9381/19/10/311 | null | hep-th | null | By using O(7,7) transformations, to deform D6-branes, we obtain
half-supersymmetric bound state solutions of type IIA supergravity, containing
D6, D4, D2, D0, F1-branes and waves. We lift the solutions to M-theory which
gives half-supersymmetric M-theory bound states, e.g. KK6-M5-M5-M5-M2-M2-M2-MW.
We also take near horizon limits for the type IIA solutions, which gives
supergravity duals of 7-dimensional non-commutative open string theory (with
space-time and space-space non-commutativity), non-commutative Yang-Mills
theory (with space-space and light-like non-commutativity) and an open D4-brane
theory.
| [
{
"created": "Wed, 9 May 2001 15:13:51 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Jan 2002 15:06:12 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Larsson",
"Henric",
""
]
] | By using O(7,7) transformations, to deform D6-branes, we obtain half-supersymmetric bound state solutions of type IIA supergravity, containing D6, D4, D2, D0, F1-branes and waves. We lift the solutions to M-theory which gives half-supersymmetric M-theory bound states, e.g. KK6-M5-M5-M5-M2-M2-M2-MW. We also take near horizon limits for the type IIA solutions, which gives supergravity duals of 7-dimensional non-commutative open string theory (with space-time and space-space non-commutativity), non-commutative Yang-Mills theory (with space-space and light-like non-commutativity) and an open D4-brane theory. |
1906.07157 | Mboyo Esole | Mboyo Esole, Sabrina Pasterski | The suspended pinch point and SU($2$)$\times$U($1$) gauge theories | 27 pages, 4 figures | null | null | null | hep-th math-ph math.AG math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the suspended pinch point can be seen as an elliptically fibered
variety with singular fibers of type I$_2$ over codimension-one points of the
base and a torsionless Mordell--Weil group of rank one. In the F-theory
algorithm, this corresponds to a Lie group $SU(2)\times U(1)$. We also identify
the matter content as given by the direct sum of the adjoint representation
(with zero U($1$)-charge) and the fundamental representation with U($1$)-charge
$\pm 1$. We then study the geometry of an SU($2$)$\times$U($1$)-model given by
a compact elliptically fibered variety with the singularities of a suspended
pinch point. We describe in detail the crepant resolutions and the network of
flops of this geometry. We compute topological invariants including the Euler
characteristic and Hodge numbers. We also study the weak coupling limit of this
geometry and show that it corresponds to an orientifold theory with an
Sp($1$)-stack transverse to the orientifold and two brane-image-branes wrapping
the orientifold.
| [
{
"created": "Mon, 17 Jun 2019 17:59:58 GMT",
"version": "v1"
}
] | 2019-06-18 | [
[
"Esole",
"Mboyo",
""
],
[
"Pasterski",
"Sabrina",
""
]
] | We show that the suspended pinch point can be seen as an elliptically fibered variety with singular fibers of type I$_2$ over codimension-one points of the base and a torsionless Mordell--Weil group of rank one. In the F-theory algorithm, this corresponds to a Lie group $SU(2)\times U(1)$. We also identify the matter content as given by the direct sum of the adjoint representation (with zero U($1$)-charge) and the fundamental representation with U($1$)-charge $\pm 1$. We then study the geometry of an SU($2$)$\times$U($1$)-model given by a compact elliptically fibered variety with the singularities of a suspended pinch point. We describe in detail the crepant resolutions and the network of flops of this geometry. We compute topological invariants including the Euler characteristic and Hodge numbers. We also study the weak coupling limit of this geometry and show that it corresponds to an orientifold theory with an Sp($1$)-stack transverse to the orientifold and two brane-image-branes wrapping the orientifold. |
1707.04636 | Robin Terrisse | Robin Terrisse and Dimitrios Tsimpis | SU(3) structures on S2 bundles over four-manifolds | 35 pages | null | 10.1007/JHEP09(2017)133 | null | hep-th math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct globally-defined $SU(3)$ structures on smooth compact toric
varieties (SCTV) in the class of $\mathbb{CP}^1$ bundles over $M$, where $M$ is
an arbitrary SCTV of complex dimension two. The construction can be extended to
the case where the base is K\"ahler-Einstein of positive curvature, but not
necessarily toric, and admits a parameter space which includes $SU(3)$
structures of LT type.
| [
{
"created": "Fri, 14 Jul 2017 20:54:49 GMT",
"version": "v1"
}
] | 2017-10-25 | [
[
"Terrisse",
"Robin",
""
],
[
"Tsimpis",
"Dimitrios",
""
]
] | We construct globally-defined $SU(3)$ structures on smooth compact toric varieties (SCTV) in the class of $\mathbb{CP}^1$ bundles over $M$, where $M$ is an arbitrary SCTV of complex dimension two. The construction can be extended to the case where the base is K\"ahler-Einstein of positive curvature, but not necessarily toric, and admits a parameter space which includes $SU(3)$ structures of LT type. |
hep-th/0202006 | Alfredo Herrera Aguilar | Nandinii Barbosa-Cendejas and Alfredo Herrera-Aguilar | O(d+1,d+n+1)--invariant Formulation of Stationary Heterotic String
Theory | 8 pages in latex | Gen.Rel.Grav.35:449-456,2003 | 10.1023/A:1022326117800 | null | hep-th | null | We present a pair of symmetric formulations of the matter sector of the
stationary effective action of heterotic string theory that arises after the
toroidal compactification of d dimensions. The first formulation is written in
terms of a pair of matrix potentials Z_1 and Z_2 which exhibits a clear
symmetry between them and can be used to generate new families of solutions on
the basis of either Z_1 or Z_2; the second one is an O(d+1,d+n+1)-invariant
formulation which is written in terms of a matrix vector W endowed with an
O(d+1,d+n+1)-invariant scalar product which linearizes the action of the
O(d+1,d+n+1) symmetry group on the coset space O(d+1,d+n+1)/[O(d+1)XO(d+n+1)];
this fact opens as well a simple solution--generating technique which can be
applied on the basis of known solutions. A special class of extremal solutions
is indicated by asuming a simple ansatz for the matrix vector W that reduces
the equation of motion to the Laplace equation for a real scalar function.
| [
{
"created": "Fri, 1 Feb 2002 08:23:34 GMT",
"version": "v1"
}
] | 2010-11-19 | [
[
"Barbosa-Cendejas",
"Nandinii",
""
],
[
"Herrera-Aguilar",
"Alfredo",
""
]
] | We present a pair of symmetric formulations of the matter sector of the stationary effective action of heterotic string theory that arises after the toroidal compactification of d dimensions. The first formulation is written in terms of a pair of matrix potentials Z_1 and Z_2 which exhibits a clear symmetry between them and can be used to generate new families of solutions on the basis of either Z_1 or Z_2; the second one is an O(d+1,d+n+1)-invariant formulation which is written in terms of a matrix vector W endowed with an O(d+1,d+n+1)-invariant scalar product which linearizes the action of the O(d+1,d+n+1) symmetry group on the coset space O(d+1,d+n+1)/[O(d+1)XO(d+n+1)]; this fact opens as well a simple solution--generating technique which can be applied on the basis of known solutions. A special class of extremal solutions is indicated by asuming a simple ansatz for the matrix vector W that reduces the equation of motion to the Laplace equation for a real scalar function. |
0801.3519 | Euro Spallucci | Euro Spallucci, Anais Smailagic, Piero Nicolini | Non-commutative geometry inspired higher-dimensional charged, black
holes | 16 pages, 3 figures, 1 tables; final version accepted by PLB. Title
changed; presentation improved; added comments | Phys.Lett.B670:449-454,2009 | 10.1016/j.physletb.2008.11.030 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We obtain a new, exact, solution of the Einstein's equation in higher
dimensions. The source is given by a static spherically symmetric, Gaussian
distribution of mass and charge. De-localization of mass and charge is due to
the presence of a "minimal length" in the spacetime fabric, coming from quantum
gravitational effects, e.g. string induced non-commutative geometry. The
resulting metric describes a regular, i.e. curvature singularity free, charged
black hole in higher dimensions. The metric smoothly interpolates between
Reissner-Nordstrom geometry at large distance, and deSitter spacetime at short
distance. Thermodynamical properties of the black hole are investigated and the
form of the Area Law is determined. We show that back reaction effects are
negligible even near the temperature maximum for any reasonable number of extra
dimensions. We study pair creation and show that the upper bound on the
discharge time increases with the number of extra dimensions.
| [
{
"created": "Wed, 23 Jan 2008 07:57:15 GMT",
"version": "v1"
},
{
"created": "Sat, 19 Jul 2008 09:05:14 GMT",
"version": "v2"
},
{
"created": "Wed, 12 Nov 2008 09:43:38 GMT",
"version": "v3"
}
] | 2009-02-19 | [
[
"Spallucci",
"Euro",
""
],
[
"Smailagic",
"Anais",
""
],
[
"Nicolini",
"Piero",
""
]
] | We obtain a new, exact, solution of the Einstein's equation in higher dimensions. The source is given by a static spherically symmetric, Gaussian distribution of mass and charge. De-localization of mass and charge is due to the presence of a "minimal length" in the spacetime fabric, coming from quantum gravitational effects, e.g. string induced non-commutative geometry. The resulting metric describes a regular, i.e. curvature singularity free, charged black hole in higher dimensions. The metric smoothly interpolates between Reissner-Nordstrom geometry at large distance, and deSitter spacetime at short distance. Thermodynamical properties of the black hole are investigated and the form of the Area Law is determined. We show that back reaction effects are negligible even near the temperature maximum for any reasonable number of extra dimensions. We study pair creation and show that the upper bound on the discharge time increases with the number of extra dimensions. |
2111.04745 | Antoine Bourget | Antoine Bourget, Julius F. Grimminger, Amihay Hanany, Rudolph Kalveks,
Zhenghao Zhong | Higgs Branches of U/SU Quivers via Brane Locking | Mathematica code available for download | null | 10.1007/JHEP08(2022)061 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We solve a long standing problem on the computation of the Higgs branch
$\mathcal{H}$ of linear quivers with 8 supercharges and with both unitary and
special unitary gauge nodes. The solution uses the concept of magnetic quivers,
where components of $\mathcal{H}$ are described as 3d $\mathcal{N}=4$ Coulomb
branches. When the starting quiver is good, there is a single component in
$\mathcal{H}$ and the magnetic quiver is a 3d mirror. The magnetic quivers are
obtained from studying the brane web for an auxiliary 5d theory (with only
special unitary gauge groups), constrained by a new notion called brane
locking, where some branes are required to move together. We view this as a
computational tool rather than an operation in 5d. A detailed algorithm is
given, and implemented in a code available for download.
| [
{
"created": "Mon, 8 Nov 2021 19:00:00 GMT",
"version": "v1"
}
] | 2022-08-24 | [
[
"Bourget",
"Antoine",
""
],
[
"Grimminger",
"Julius F.",
""
],
[
"Hanany",
"Amihay",
""
],
[
"Kalveks",
"Rudolph",
""
],
[
"Zhong",
"Zhenghao",
""
]
] | We solve a long standing problem on the computation of the Higgs branch $\mathcal{H}$ of linear quivers with 8 supercharges and with both unitary and special unitary gauge nodes. The solution uses the concept of magnetic quivers, where components of $\mathcal{H}$ are described as 3d $\mathcal{N}=4$ Coulomb branches. When the starting quiver is good, there is a single component in $\mathcal{H}$ and the magnetic quiver is a 3d mirror. The magnetic quivers are obtained from studying the brane web for an auxiliary 5d theory (with only special unitary gauge groups), constrained by a new notion called brane locking, where some branes are required to move together. We view this as a computational tool rather than an operation in 5d. A detailed algorithm is given, and implemented in a code available for download. |
hep-th/9909042 | Anjan Kundu | Anjan Kundu | Algebraic construction of quantum integrable models including
inhomogeneous models | Latex, 14pages, To be published in the Rev. Math. Phys annual
conf.ROMP99 Proceedings (Tarun, Poland, 1999) | Rept.Math.Phys.46:125-136,2000 | 10.1016/S0034-4877(01)80016-1 | SINP/TNP/27-99 | hep-th nlin.SI solv-int | null | Exploiting the quantum integrability condition we construct an ancestor model
associated with a new underlying quadratic algebra. This ancestor model
represents an exactly integrable quantum lattice inhomogeneous anisotropic
model and at its various realizations and limits can generate a wide range of
integrable models. They cover quantum lattice as well as field models
associated with the quantum $R$-matrix of trigonometric type or at the
undeformed $q \to 1$ limit similar models belonging to the rational class. The
classical limit likewise yields the corresponding classical discrete and field
models. Thus along with the generation of known integrable models in a unifying
way a new class of inhomogeneous models including variable mass sine-Gordon
model, inhomogeneous Toda chain, impure spin chains etc. are constructed.
| [
{
"created": "Wed, 8 Sep 1999 08:37:03 GMT",
"version": "v1"
}
] | 2011-04-15 | [
[
"Kundu",
"Anjan",
""
]
] | Exploiting the quantum integrability condition we construct an ancestor model associated with a new underlying quadratic algebra. This ancestor model represents an exactly integrable quantum lattice inhomogeneous anisotropic model and at its various realizations and limits can generate a wide range of integrable models. They cover quantum lattice as well as field models associated with the quantum $R$-matrix of trigonometric type or at the undeformed $q \to 1$ limit similar models belonging to the rational class. The classical limit likewise yields the corresponding classical discrete and field models. Thus along with the generation of known integrable models in a unifying way a new class of inhomogeneous models including variable mass sine-Gordon model, inhomogeneous Toda chain, impure spin chains etc. are constructed. |
1103.3548 | Anton Kapustin | Denis Bashkirov, Anton Kapustin | New and old N=8 superconformal field theories in three dimensions | 16 pages, latex | null | 10.1007/JHEP05(2011)074 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that an infinite family of N=6 d=3 superconformal Chern-Simons-matter
theories has hidden N=8 superconformal symmetry and hidden parity on the
quantum level. This family of theories is different from the one found by
Aharony, Bergman, Jafferis and Maldacena, as well as from the theories
constructed by Bagger and Lambert, and Gustavsson. We also test several
conjectural dualities between BLG theories and ABJ theories by comparing
superconformal indices of these theories.
| [
{
"created": "Fri, 18 Mar 2011 02:58:30 GMT",
"version": "v1"
}
] | 2015-05-27 | [
[
"Bashkirov",
"Denis",
""
],
[
"Kapustin",
"Anton",
""
]
] | We show that an infinite family of N=6 d=3 superconformal Chern-Simons-matter theories has hidden N=8 superconformal symmetry and hidden parity on the quantum level. This family of theories is different from the one found by Aharony, Bergman, Jafferis and Maldacena, as well as from the theories constructed by Bagger and Lambert, and Gustavsson. We also test several conjectural dualities between BLG theories and ABJ theories by comparing superconformal indices of these theories. |
hep-th/0209192 | Mark A. Stern | Mark A. Stern | Quantum Mechanical Mirror Symmetry, D Branes, and B Fields | 22 pages | null | null | Duke-CGTP-02-08 | hep-th | null | We construct quantum mechanical models which mimic many features of string
theory. We use these models to gain improved descriptions of B fields and
gerbes. We examine analogs of T duality, D branes, and mirror symmetry and
derive quantum mechanical analogs of standard phenomena, such as the
noncommutative geometry induced by a B field.
| [
{
"created": "Mon, 23 Sep 2002 19:31:32 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Stern",
"Mark A.",
""
]
] | We construct quantum mechanical models which mimic many features of string theory. We use these models to gain improved descriptions of B fields and gerbes. We examine analogs of T duality, D branes, and mirror symmetry and derive quantum mechanical analogs of standard phenomena, such as the noncommutative geometry induced by a B field. |
hep-th/9305018 | null | J. X. Lu | On the determination of the dilaton-antisymmetric tensor couplings in
supergravity theories | 23 pages, harvmac, CERN-TH.6691/93 | Nucl.Phys. B409 (1993) 290-310 | 10.1016/0550-3213(93)90581-9 | null | hep-th | null | A new approach is provided to determine the dilaton--antisymmetric tensor
coupling in a supergravity theory by considering the static supersymmetric
field configuration around a super extended object, which is consistently
formulated in a curved superspace. By this, the corresponding SUSY
transformation rules can also be determined for vanishing fermionic fields as
well as bosonic fields other than those in the determined coupling. Therefore,
we can, in turn, use this determined part of the supergravity theory to study
all the related vacuum-like solutions. We have determined the
dilaton--antisymmetric tensor couplings, in which each of the antisymmetric
tensors is a singlet of the automorphism group of the corresponding
superalgebra, for every supergravity multiplet. This actually happens only for
$N \leq 2$ supergravity theories, which agrees completely with the spin-content
analysis and the classified $N \leq 2$ super $p$-branes, therefore giving more
support to the existence of the fundamental Type II $p$-branes. A prediction is
made of the $D = 9, N = 2$ supergravity which has not yet been written down so
far.
| [
{
"created": "Thu, 6 May 1993 14:07:19 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Lu",
"J. X.",
""
]
] | A new approach is provided to determine the dilaton--antisymmetric tensor coupling in a supergravity theory by considering the static supersymmetric field configuration around a super extended object, which is consistently formulated in a curved superspace. By this, the corresponding SUSY transformation rules can also be determined for vanishing fermionic fields as well as bosonic fields other than those in the determined coupling. Therefore, we can, in turn, use this determined part of the supergravity theory to study all the related vacuum-like solutions. We have determined the dilaton--antisymmetric tensor couplings, in which each of the antisymmetric tensors is a singlet of the automorphism group of the corresponding superalgebra, for every supergravity multiplet. This actually happens only for $N \leq 2$ supergravity theories, which agrees completely with the spin-content analysis and the classified $N \leq 2$ super $p$-branes, therefore giving more support to the existence of the fundamental Type II $p$-branes. A prediction is made of the $D = 9, N = 2$ supergravity which has not yet been written down so far. |
hep-th/9809076 | Ichiro Oda | Ichiro Oda | Super D-string Action on $AdS_5 \times S^5$ | 12 pages, LaTex2e | Phys.Lett. B444 (1998) 127-135 | 10.1016/S0370-2693(98)01363-X | EDO-EP-21 | hep-th | null | We present a supersymmetric and $\kappa$-symmetric D-string action on $AdS_5
\times S^5$ in supercoset construction. As in the previous work of the super
D-string action in the flat background, the super D-string action on $AdS_5
\times S^5$ can be transformed to a form of the IIB Green-Schwarz superstring
action with the $SL(2,Z)$ covariant tension on $AdS_5 \times S^5$ through a
duality transformation. In order to understand a part of the duality
transformation as SO(2) rotation of N=2 spinor coordinates, it seems to be
necessary to fix the $\kappa$-symmetry in a gauge condition which simplifies
the classical action. This is the article showing for the first time that there
exists S-duality in type IIB superstring theory in a curved background whose
validity has been conjectured in the past but not shown so far in an explicit
way.
| [
{
"created": "Fri, 11 Sep 1998 06:55:49 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Oda",
"Ichiro",
""
]
] | We present a supersymmetric and $\kappa$-symmetric D-string action on $AdS_5 \times S^5$ in supercoset construction. As in the previous work of the super D-string action in the flat background, the super D-string action on $AdS_5 \times S^5$ can be transformed to a form of the IIB Green-Schwarz superstring action with the $SL(2,Z)$ covariant tension on $AdS_5 \times S^5$ through a duality transformation. In order to understand a part of the duality transformation as SO(2) rotation of N=2 spinor coordinates, it seems to be necessary to fix the $\kappa$-symmetry in a gauge condition which simplifies the classical action. This is the article showing for the first time that there exists S-duality in type IIB superstring theory in a curved background whose validity has been conjectured in the past but not shown so far in an explicit way. |
hep-th/0511290 | Axel Kleinschmidt | Axel Kleinschmidt, Hermann Nicolai | E10 Cosmology | 16 pages, 1 figure. v2: Additional references | JHEP0601:137,2006 | 10.1088/1126-6708/2006/01/137 | AEI-2005-179 | hep-th gr-qc | null | We construct simple exact solutions to the E10/K(E10) coset model by
exploiting its integrability. Using the known correspondences with the bosonic
sectors of maximal supergravity theories, these exact solutions translate into
exact cosmological solutions. In this way, we are able to recover some recently
discovered solutions of M-theory exhibiting phases of accelerated expansion,
or, equivalently, S-brane solutions, and thereby accommodate such solutions
within the E10/K(E10) model. We also discuss the difficulties regarding
solutions with non-vanishing (constant) curvature of the internal manifold.
| [
{
"created": "Tue, 29 Nov 2005 16:19:10 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Jan 2006 15:03:01 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Kleinschmidt",
"Axel",
""
],
[
"Nicolai",
"Hermann",
""
]
] | We construct simple exact solutions to the E10/K(E10) coset model by exploiting its integrability. Using the known correspondences with the bosonic sectors of maximal supergravity theories, these exact solutions translate into exact cosmological solutions. In this way, we are able to recover some recently discovered solutions of M-theory exhibiting phases of accelerated expansion, or, equivalently, S-brane solutions, and thereby accommodate such solutions within the E10/K(E10) model. We also discuss the difficulties regarding solutions with non-vanishing (constant) curvature of the internal manifold. |
0804.4295 | Romuald A. Janik | Romuald A. Janik, Tomasz Lukowski | From nesting to dressing | 23 pages, no figures; v2: small improvements, references added | Phys.Rev.D78:066018,2008 | 10.1103/PhysRevD.78.066018 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In integrable field theories the S-matrix is usually a product of a
relatively simple matrix and a complicated scalar factor. We make an
observation that in many relativistic integrable field theories the scalar
factor can be expressed as a convolution of simple kernels appearing in the
nested levels of the nested Bethe ansatz. We formulate a proposal, up to some
discrete ambiguities, how to reconstruct the scalar factor from the nested
Bethe equations and check it for several relativistic integrable field
theories. We then apply this proposal to the AdS asymptotic Bethe ansatz and
recover the dressing factor in the integral representation of Dorey, Hofman and
Maldacena.
| [
{
"created": "Sun, 27 Apr 2008 22:10:39 GMT",
"version": "v1"
},
{
"created": "Tue, 13 May 2008 15:29:04 GMT",
"version": "v2"
}
] | 2010-05-28 | [
[
"Janik",
"Romuald A.",
""
],
[
"Lukowski",
"Tomasz",
""
]
] | In integrable field theories the S-matrix is usually a product of a relatively simple matrix and a complicated scalar factor. We make an observation that in many relativistic integrable field theories the scalar factor can be expressed as a convolution of simple kernels appearing in the nested levels of the nested Bethe ansatz. We formulate a proposal, up to some discrete ambiguities, how to reconstruct the scalar factor from the nested Bethe equations and check it for several relativistic integrable field theories. We then apply this proposal to the AdS asymptotic Bethe ansatz and recover the dressing factor in the integral representation of Dorey, Hofman and Maldacena. |
1901.03879 | Zhencheng Wang | Donald Marolf, Aron C. Wall, Zhencheng Wang | Restricted Maximin surfaces and HRT in generic black hole spacetimes | 10 pages, 3 figures | null | 10.1007/JHEP05(2019)127 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The AdS/CFT understanding of CFT entanglement is based on HRT surfaces in the
dual bulk spacetime. While such surfaces need not exist in sufficiently general
spacetimes, the maximin construction demonstrates that they can be found in any
smooth asymptotically locally AdS spacetime without horizons or with only
Kasner-like singularities. In this work, we introduce restricted maximin
surfaces anchored to a particular boundary Cauchy slice $C_\partial$. We show
that the result agrees with the original unrestricted maximin prescription when
the restricted maximin surface lies in a smooth region of spacetime. We then
use this construction to extend the existence theorem for HRT surfaces to
generic charged or spinning AdS black holes whose mass-inflation singularities
are not Kasner-like. We also discuss related issues in time-independent charged
wormholes.
| [
{
"created": "Sat, 12 Jan 2019 16:56:19 GMT",
"version": "v1"
}
] | 2019-06-26 | [
[
"Marolf",
"Donald",
""
],
[
"Wall",
"Aron C.",
""
],
[
"Wang",
"Zhencheng",
""
]
] | The AdS/CFT understanding of CFT entanglement is based on HRT surfaces in the dual bulk spacetime. While such surfaces need not exist in sufficiently general spacetimes, the maximin construction demonstrates that they can be found in any smooth asymptotically locally AdS spacetime without horizons or with only Kasner-like singularities. In this work, we introduce restricted maximin surfaces anchored to a particular boundary Cauchy slice $C_\partial$. We show that the result agrees with the original unrestricted maximin prescription when the restricted maximin surface lies in a smooth region of spacetime. We then use this construction to extend the existence theorem for HRT surfaces to generic charged or spinning AdS black holes whose mass-inflation singularities are not Kasner-like. We also discuss related issues in time-independent charged wormholes. |
1808.04845 | Matin Mojaza | Paolo Di Vecchia, Raffaele Marotta, Matin Mojaza | Multiloop Soft Theorem for Gravitons and Dilatons in the Bosonic String | 20 p. + 23 p. appendices. New version to match the published version;
new appendix (A) added and dependence on compactification radii clarified | JHEP 1901 (2019) 038 | 10.1007/JHEP01(2019)038 | NORDITA-2018-068 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct, in the closed bosonic string, the multiloop amplitude involving
$N$ tachyons and one massless particle with $26 -D$ compactified directions,
and we show that at least for $D>4$, the soft behaviors of the graviton and
dilaton satisfy the same soft theorems as at the tree level, up to one
additional term at the subsubleading order, which can only contribute to the
dilaton soft behavior and which we show is zero at least at one loop. This is
possible, since the infrared divergences due to the non-vanishing tachyon and
dilaton tadpoles do not depend on the number of external particles and are
therefore the same both in the amplitude with the soft particle and in the
amplitude without the soft particle. Therefore this leaves unchanged the soft
operator acting on the amplitude without the soft particle. The additional
infrared divergence appearing for $D \leq 4$ depend on the number of external
legs and must be understood on their own.
| [
{
"created": "Tue, 14 Aug 2018 18:25:54 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Jan 2019 10:35:15 GMT",
"version": "v2"
}
] | 2019-01-18 | [
[
"Di Vecchia",
"Paolo",
""
],
[
"Marotta",
"Raffaele",
""
],
[
"Mojaza",
"Matin",
""
]
] | We construct, in the closed bosonic string, the multiloop amplitude involving $N$ tachyons and one massless particle with $26 -D$ compactified directions, and we show that at least for $D>4$, the soft behaviors of the graviton and dilaton satisfy the same soft theorems as at the tree level, up to one additional term at the subsubleading order, which can only contribute to the dilaton soft behavior and which we show is zero at least at one loop. This is possible, since the infrared divergences due to the non-vanishing tachyon and dilaton tadpoles do not depend on the number of external particles and are therefore the same both in the amplitude with the soft particle and in the amplitude without the soft particle. Therefore this leaves unchanged the soft operator acting on the amplitude without the soft particle. The additional infrared divergence appearing for $D \leq 4$ depend on the number of external legs and must be understood on their own. |
2005.09548 | Jose Ramon Espinosa | J.R. Espinosa | The Stabilizing Effect of Gravity Made Simple | 27 pages, LaTeX | null | 10.1088/1475-7516/2020/07/061 | IFT-UAM/CSIC-20-71 | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A new approach to vacuum decay in quantum field theory, based on a simple
variational formulation in field space using a tunneling potential, is ideally
suited to study the effects of gravity on such decays. The method allows to
prove in new and simple ways many results, among others, that gravitational
corrections tend to make Minkowski or Anti de Sitter false vacua more stable
semiclassically or that higher barriers increase vacuum lifetime. The approach
also offers a very clean picture of gravitational quenching of vacuum decay and
its parametric dependence on the features of a potential and allows to study
the BPS domain-walls between vacua in critical cases. Special attention is
devoted to supersymmetric potentials and to the discussion of near-critical
vacuum decays, for which it is shown how the new method can be usefully applied
beyond the thin-wall approximation.
| [
{
"created": "Tue, 19 May 2020 16:07:33 GMT",
"version": "v1"
}
] | 2020-08-05 | [
[
"Espinosa",
"J. R.",
""
]
] | A new approach to vacuum decay in quantum field theory, based on a simple variational formulation in field space using a tunneling potential, is ideally suited to study the effects of gravity on such decays. The method allows to prove in new and simple ways many results, among others, that gravitational corrections tend to make Minkowski or Anti de Sitter false vacua more stable semiclassically or that higher barriers increase vacuum lifetime. The approach also offers a very clean picture of gravitational quenching of vacuum decay and its parametric dependence on the features of a potential and allows to study the BPS domain-walls between vacua in critical cases. Special attention is devoted to supersymmetric potentials and to the discussion of near-critical vacuum decays, for which it is shown how the new method can be usefully applied beyond the thin-wall approximation. |
1203.2975 | Frederik Coomans | Eric Bergshoeff, Frederik Coomans, Ergin Sezgin, Antoine Van Proeyen | Higher Derivative Extension of 6D Chiral Gauged Supergravity | 32 pages; typos corrected, footnote in conclusions section added | JHEP 07 (2012) 011 | 10.1007/JHEP07(2012)011 | RUG-12-23; MIFPA-11-56 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Six-dimensional (1,0) supersymmetric gauged Einstein-Maxwell supergravity is
extended by the inclusion of a supersymmetric Riemann tensor squared invariant.
Both the original model as well as the Riemann tensor squared invariant are
formulated off-shell and consequently the total action is off-shell invariant
without modification of the supersymmetry transformation rules. In this
formulation, superconformal techniques, in which the dilaton Weyl multiplet
plays a crucial role, are used. It is found that the gauging of the U(1)
R-symmetry in the presence of the higher-order derivative terms does not modify
the positive exponential in the dilaton potential. Moreover, the supersymmetric
Minkowski(4) x S^2 compactification of the original model, without the
higher-order derivatives, is remarkably left intact. It is shown that the model
also admits non-supersymmetric vacuum solutions that are direct product spaces
involving de Sitter spacetimes and negative curvature internal spaces.
| [
{
"created": "Tue, 13 Mar 2012 23:25:07 GMT",
"version": "v1"
},
{
"created": "Sat, 17 Mar 2012 11:57:50 GMT",
"version": "v2"
},
{
"created": "Tue, 3 Jul 2012 08:39:57 GMT",
"version": "v3"
}
] | 2012-07-04 | [
[
"Bergshoeff",
"Eric",
""
],
[
"Coomans",
"Frederik",
""
],
[
"Sezgin",
"Ergin",
""
],
[
"Van Proeyen",
"Antoine",
""
]
] | Six-dimensional (1,0) supersymmetric gauged Einstein-Maxwell supergravity is extended by the inclusion of a supersymmetric Riemann tensor squared invariant. Both the original model as well as the Riemann tensor squared invariant are formulated off-shell and consequently the total action is off-shell invariant without modification of the supersymmetry transformation rules. In this formulation, superconformal techniques, in which the dilaton Weyl multiplet plays a crucial role, are used. It is found that the gauging of the U(1) R-symmetry in the presence of the higher-order derivative terms does not modify the positive exponential in the dilaton potential. Moreover, the supersymmetric Minkowski(4) x S^2 compactification of the original model, without the higher-order derivatives, is remarkably left intact. It is shown that the model also admits non-supersymmetric vacuum solutions that are direct product spaces involving de Sitter spacetimes and negative curvature internal spaces. |
1106.2558 | Olof Ohlsson Sax | O. Ohlsson Sax and B. Stefanski Jr | Integrability, spin-chains and the AdS3/CFT2 correspondence | LaTeX, 38 pages. v2: Corrected misprints in section 6.2 | null | 10.1007/JHEP08(2011)029 | UUITP-17/11 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Building on arXiv:0912.1723, in this paper we investigate the AdS3/CFT2
correspondence using integrability techniques. We present an all-loop Bethe
Ansatz (BA) for strings on AdS_3 x S^3 x S^3 x S^1, with symmetry
D(2,1;alpha)^2, valid for all values of alpha. This construction relies on a
novel, alpha-dependent generalisation of the Zhukovsky map. We investigate the
weakly-coupled limit of this BA and of the all-loop BA for strings on AdS_3 x
S^3 x T^4. We construct integrable short-range spin-chains and Hamiltonians
that correspond to these weakly-coupled BAs. The spin-chains are alternating
and homogenous, respectively. The alternating spin-chain can be regarded as
giving some of the first hints about the unknown CFT2 dual to string theory on
AdS_3 x S^3 x S^3 x S^1. We show that, in the alpha to 1 limit, the integrable
structure of the D(2,1;alpha) model is non-singular and keeps track of not just
massive but also massless modes. This provides a way of incorporating massless
modes into the integrability machinery of the AdS3/CFT2 correspondence.
| [
{
"created": "Mon, 13 Jun 2011 20:10:19 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Jun 2011 11:12:59 GMT",
"version": "v2"
}
] | 2015-05-28 | [
[
"Sax",
"O. Ohlsson",
""
],
[
"Stefanski",
"B.",
"Jr"
]
] | Building on arXiv:0912.1723, in this paper we investigate the AdS3/CFT2 correspondence using integrability techniques. We present an all-loop Bethe Ansatz (BA) for strings on AdS_3 x S^3 x S^3 x S^1, with symmetry D(2,1;alpha)^2, valid for all values of alpha. This construction relies on a novel, alpha-dependent generalisation of the Zhukovsky map. We investigate the weakly-coupled limit of this BA and of the all-loop BA for strings on AdS_3 x S^3 x T^4. We construct integrable short-range spin-chains and Hamiltonians that correspond to these weakly-coupled BAs. The spin-chains are alternating and homogenous, respectively. The alternating spin-chain can be regarded as giving some of the first hints about the unknown CFT2 dual to string theory on AdS_3 x S^3 x S^3 x S^1. We show that, in the alpha to 1 limit, the integrable structure of the D(2,1;alpha) model is non-singular and keeps track of not just massive but also massless modes. This provides a way of incorporating massless modes into the integrability machinery of the AdS3/CFT2 correspondence. |
hep-th/0210230 | Rashmi Rekha Nayak | Rashmi R. Nayak | D-Branes at angle in pp-wave Background | 18 pages, version to appear in Phys. Rev. D | Phys.Rev. D67 (2003) 086006 | 10.1103/PhysRevD.67.086006 | IP/BBSR/2002-25 | hep-th | null | We show the existence of classical solutions of a system of D3-branes
oriented at an arbitrary angle with respect to each other, in a six dimensional
pp-wave background obtained from AdS_3\times S^3\times R^4, with NS-NS and R-R
3-form field strength. These D-brane bound states are shown to preserve 1/16 of
the supersymmetries. We also present more D-brane bound state solutions by
applying T-duality symmetries. Finally, the probe analysis is discussed along
with a brief outline of the open string construction.
| [
{
"created": "Wed, 23 Oct 2002 16:09:23 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Nov 2002 15:45:17 GMT",
"version": "v2"
},
{
"created": "Mon, 3 Mar 2003 16:34:19 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Nayak",
"Rashmi R.",
""
]
] | We show the existence of classical solutions of a system of D3-branes oriented at an arbitrary angle with respect to each other, in a six dimensional pp-wave background obtained from AdS_3\times S^3\times R^4, with NS-NS and R-R 3-form field strength. These D-brane bound states are shown to preserve 1/16 of the supersymmetries. We also present more D-brane bound state solutions by applying T-duality symmetries. Finally, the probe analysis is discussed along with a brief outline of the open string construction. |
hep-th/0505019 | Nicholas Warner | Chethan N. Gowdigere and Nicholas P. Warner | Holographic Coulomb Branch Flows with N=1 Supersymmetry | 22 pages; harvmac. Typos corrected;small improvements in presentation | JHEP 0603 (2006) 049 | 10.1088/1126-6708/2006/03/049 | null | hep-th | null | We obtain a large, new class of N=1 supersymmetric holographic flow
backgrounds with U(1)^3 symmetry. These solutions correspond to flows toward
the Coulomb branch of the non-trivial N=1 supersymmetric fixed point. The
massless (complex) chiral fields are allowed to develop vevs that are
independent of their two phase angles, and this corresponds to allowing the
brane to spread with arbitrary, U(1)^2 invariant, radial distributions in each
of these directions. Our solutions are "almost Calabi-Yau:" The metric is
hermitian with respect to an integrable complex structure, but is not Kahler.
The "modulus squared" of the holomorphic (3,0)-form is the volume form, and the
complete solution is characterized by a function that must satisfy a single
partial differential equation that is closely related to the Calabi-Yau
condition. The deformation from a standard Calabi-Yau background is driven by a
non-trivial, non-normalizable 3-form flux dual to a fermion mass that reduces
the supersymmetry to N=1. This flux also induces dielectric polarization of the
D3-branes into D5-branes.
| [
{
"created": "Tue, 3 May 2005 06:53:29 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Feb 2006 12:53:19 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Gowdigere",
"Chethan N.",
""
],
[
"Warner",
"Nicholas P.",
""
]
] | We obtain a large, new class of N=1 supersymmetric holographic flow backgrounds with U(1)^3 symmetry. These solutions correspond to flows toward the Coulomb branch of the non-trivial N=1 supersymmetric fixed point. The massless (complex) chiral fields are allowed to develop vevs that are independent of their two phase angles, and this corresponds to allowing the brane to spread with arbitrary, U(1)^2 invariant, radial distributions in each of these directions. Our solutions are "almost Calabi-Yau:" The metric is hermitian with respect to an integrable complex structure, but is not Kahler. The "modulus squared" of the holomorphic (3,0)-form is the volume form, and the complete solution is characterized by a function that must satisfy a single partial differential equation that is closely related to the Calabi-Yau condition. The deformation from a standard Calabi-Yau background is driven by a non-trivial, non-normalizable 3-form flux dual to a fermion mass that reduces the supersymmetry to N=1. This flux also induces dielectric polarization of the D3-branes into D5-branes. |
hep-th/0312060 | Yukinori Nagatani | Yukinori Nagatani (Weizmann Inst.) | Black Hole as a Baryon-Reactor -- Rapid Baryon Number Violation in Black
Hole | 8 pages | null | null | WIS/33/03-DEC-DPP | hep-th hep-ph | null | We find out that baryon numbers of the matter fallen into black holes are
rapidly washed-out by investigating the radiation-ball description of the black
holes. The radiation-ball solution, which was derived by analyzing the
backreaction of the Hawking radiation into space-time and is identified as a
black hole, consists of the radiation gravitationally-trapped into the ball and
of a singularity. The baryon number of the black hole is defined as that of the
radiation in the ball. The sphaleron processes of the Standard Model work in
the ball because the proper temperature of the radiation is Planck scale and
the Higgs vev becomes zero. The decay-rate of the baryon number becomes
\dot{B}/B = -alpha_W^4 / r_BH for the Schwarzschild black hole of radius r_BH.
When we assume the baryon number violating processes of the GUT, we find more
rapid decay-rate. We can regard the black holes as the baryon-reactors which
convert the baryonic matter into energy of radiation.
| [
{
"created": "Fri, 5 Dec 2003 14:42:30 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Nagatani",
"Yukinori",
"",
"Weizmann Inst."
]
] | We find out that baryon numbers of the matter fallen into black holes are rapidly washed-out by investigating the radiation-ball description of the black holes. The radiation-ball solution, which was derived by analyzing the backreaction of the Hawking radiation into space-time and is identified as a black hole, consists of the radiation gravitationally-trapped into the ball and of a singularity. The baryon number of the black hole is defined as that of the radiation in the ball. The sphaleron processes of the Standard Model work in the ball because the proper temperature of the radiation is Planck scale and the Higgs vev becomes zero. The decay-rate of the baryon number becomes \dot{B}/B = -alpha_W^4 / r_BH for the Schwarzschild black hole of radius r_BH. When we assume the baryon number violating processes of the GUT, we find more rapid decay-rate. We can regard the black holes as the baryon-reactors which convert the baryonic matter into energy of radiation. |
hep-th/0508075 | J. F. Vazquez-Poritz | Changhyun Ahn, Justin F. Vazquez-Poritz | Deformations of flows from type IIB supergravity | 29 pages, additional references and comments | Class.Quant.Grav. 23 (2006) 3619-3640 | 10.1088/0264-9381/23/10/024 | null | hep-th | null | We consider supersymmetric SL(3,R) deformations of various type IIB
supergravity backgrounds which exhibit flows away from an asymptotically
locally AdS_5 x S^5 fixed point. This includes the gravity dual of the Coulomb
branch of N=1 super Yang Mills theory, for which the deformed superpotential is
known. We also consider the gravity duals of field theories which live on
various curved backgrounds, such as Minkowski_2 x H^2, AdS_3 x S^1 and R x S^3.
Some of the deformed theories flow from a four-dimensional N=1 superconformal
UV fixed point to a two-dimensional (2,2) superconformal IR fixed point. We
study nonsupersymmetric generalizations of the deformations of the above
Coulomb branch flows.
| [
{
"created": "Wed, 10 Aug 2005 16:27:00 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Jun 2006 14:32:25 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Ahn",
"Changhyun",
""
],
[
"Vazquez-Poritz",
"Justin F.",
""
]
] | We consider supersymmetric SL(3,R) deformations of various type IIB supergravity backgrounds which exhibit flows away from an asymptotically locally AdS_5 x S^5 fixed point. This includes the gravity dual of the Coulomb branch of N=1 super Yang Mills theory, for which the deformed superpotential is known. We also consider the gravity duals of field theories which live on various curved backgrounds, such as Minkowski_2 x H^2, AdS_3 x S^1 and R x S^3. Some of the deformed theories flow from a four-dimensional N=1 superconformal UV fixed point to a two-dimensional (2,2) superconformal IR fixed point. We study nonsupersymmetric generalizations of the deformations of the above Coulomb branch flows. |
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