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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/0302202 | Rodrigo Ferreira Sobreiro | N.C. Ribeiro, R.F. Sobreiro, S.P. Sorella | Bosonization and Duality Aspects in Superfluids and Superconductors | 15 pages, LaTeX2e, final version to appear in Phys.Lett.A | Phys.Lett. A317 (2003) 6-13 | 10.1016/j.physleta.2003.08.016 | null | hep-th | null | The bosonization and duality rules in three-dimensions are applied to analyze
some features of superfluids and superconductors. The energy of an ensemble of
vortices in a superfluid is recovered by means of a kind of bound which, to
some extent, shares similarity with the Bogomol'nyi bound. In the case of
superconductors, after recasting the partition function in the form of a pure
effective gauge theory, the existence of finite energy vortex solutions is
discussed
| [
{
"created": "Tue, 25 Feb 2003 20:41:32 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Sep 2003 18:19:07 GMT",
"version": "v2"
}
] | 2015-06-26 | [
[
"Ribeiro",
"N. C.",
""
],
[
"Sobreiro",
"R. F.",
""
],
[
"Sorella",
"S. P.",
""
]
] | The bosonization and duality rules in three-dimensions are applied to analyze some features of superfluids and superconductors. The energy of an ensemble of vortices in a superfluid is recovered by means of a kind of bound which, to some extent, shares similarity with the Bogomol'nyi bound. In the case of superconductors, after recasting the partition function in the form of a pure effective gauge theory, the existence of finite energy vortex solutions is discussed |
hep-th/0109172 | Jose M. Figueroa-O'Farrill | Jose Figueroa-O'Farrill | BUSSTEPP Lectures on Supersymmetry | 85 pages, 5 figures | null | null | EMPG-01-15 | hep-th | null | This is the written version of the supersymmetry lectures delivered at the
30th and 31st British Universities Summer Schools in Theoretical Elementary
Particle Physics (BUSSTEPP) held in Oxford in September 2000 and in Manchester
in August-September 2001.
| [
{
"created": "Fri, 21 Sep 2001 17:56:12 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Figueroa-O'Farrill",
"Jose",
""
]
] | This is the written version of the supersymmetry lectures delivered at the 30th and 31st British Universities Summer Schools in Theoretical Elementary Particle Physics (BUSSTEPP) held in Oxford in September 2000 and in Manchester in August-September 2001. |
hep-th/0309091 | Shogo Tanimura | Shogo Tanimura | Quantization on a torus without position operators | 12 pages, LaTeX2e, the title is changed, minor corrections are made,
references are added. To be published in Modern Physics Letters A | Mod.Phys.Lett. A18 (2003) 2755-2765 | 10.1142/S0217732303012301 | null | hep-th quant-ph | null | We formulate quantum mechanics in the two-dimensional torus without using
position operators. We define an algebra with only momentum operators and shift
operators and construct irreducible representation of the algebra. We show that
it realizes quantum mechanics of a charged particle in a uniform magnetic
field. We prove that any irreducible representation of the algebra is unitary
equivalent to each other. This work provides a firm foundation for the
noncommutative torus theory.
| [
{
"created": "Tue, 9 Sep 2003 10:57:50 GMT",
"version": "v1"
},
{
"created": "Sat, 11 Oct 2003 04:35:25 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Tanimura",
"Shogo",
""
]
] | We formulate quantum mechanics in the two-dimensional torus without using position operators. We define an algebra with only momentum operators and shift operators and construct irreducible representation of the algebra. We show that it realizes quantum mechanics of a charged particle in a uniform magnetic field. We prove that any irreducible representation of the algebra is unitary equivalent to each other. This work provides a firm foundation for the noncommutative torus theory. |
0809.0005 | Oriol Pujolas | Oriol Pujolas | Strongly Coupled Radiation from Moving Mirrors and Holography in the
Karch-Randall model | 43 pages, 10 figures. Typos corrected, 1 reference added | JHEP 0812:057,2008 | 10.1088/1126-6708/2008/12/057 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Motivated by the puzzles in understanding how Black Holes evaporate into a
strongly coupled Conformal Field Theory, we study particle creation by an
accelerating mirror. We model the mirror as a gravitating Domain Wall and
consider a CFT coupled to it through gravity, in asymptotically Anti de Sitter
space. This problem (backreaction included) can be solved exactly at one loop.
At strong coupling, this is dual to a Domain Wall localized on the brane in the
Karch-Randall model, which can be fully solved as well. Hence, in this case one
can see how the particle production is affected by A) strong coupling and B)
its own backreaction. We find that A) the amount of CFT radiation at strong
coupling is not suppressed relative to the weak coupling result; and B) once
the boundary conditions in the AdS_5 bulk are appropriately mapped to the
conditions for the CFT on the boundary of AdS_4, the Karch-Randall model and
the CFT side agree to leading order in the backreaction. This agreement holds
even for a new class of self-consistent solutions (the `Bootstrap' Domain Wall
spacetimes) that have no classical limit. This provides a quite precise check
of the holographic interpretation of the Karch-Randall model. We also comment
on the massive gravity interpretation.
As a byproduct, we show that relativistic Cosmic Strings (pure tension
codimension 2 branes) in Anti de Sitter are repulsive and generate long-range
tidal forces even at classical level. This is the phenomenon dual to particle
production by Domain Walls.
| [
{
"created": "Mon, 1 Sep 2008 19:55:19 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Oct 2008 16:37:52 GMT",
"version": "v2"
}
] | 2009-02-09 | [
[
"Pujolas",
"Oriol",
""
]
] | Motivated by the puzzles in understanding how Black Holes evaporate into a strongly coupled Conformal Field Theory, we study particle creation by an accelerating mirror. We model the mirror as a gravitating Domain Wall and consider a CFT coupled to it through gravity, in asymptotically Anti de Sitter space. This problem (backreaction included) can be solved exactly at one loop. At strong coupling, this is dual to a Domain Wall localized on the brane in the Karch-Randall model, which can be fully solved as well. Hence, in this case one can see how the particle production is affected by A) strong coupling and B) its own backreaction. We find that A) the amount of CFT radiation at strong coupling is not suppressed relative to the weak coupling result; and B) once the boundary conditions in the AdS_5 bulk are appropriately mapped to the conditions for the CFT on the boundary of AdS_4, the Karch-Randall model and the CFT side agree to leading order in the backreaction. This agreement holds even for a new class of self-consistent solutions (the `Bootstrap' Domain Wall spacetimes) that have no classical limit. This provides a quite precise check of the holographic interpretation of the Karch-Randall model. We also comment on the massive gravity interpretation. As a byproduct, we show that relativistic Cosmic Strings (pure tension codimension 2 branes) in Anti de Sitter are repulsive and generate long-range tidal forces even at classical level. This is the phenomenon dual to particle production by Domain Walls. |
1711.10037 | Frederik Denef | Dionysios Anninos, Frederik Denef, Ruben Monten, Zimo Sun | Higher Spin de Sitter Hilbert Space | null | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a complete microscopic definition of the Hilbert space of minimal
higher spin de Sitter quantum gravity and its Hartle-Hawking vacuum state. The
fundamental degrees of freedom are $2N$ bosonic fields living on the future
conformal boundary, where $N$ is proportional to the de Sitter horizon entropy.
The vacuum state is normalizable. The model agrees in perturbation theory with
expectations from a previously proposed dS-CFT description in terms of a
fermionic Sp(N) model, but it goes beyond this, both in its conceptual scope
and in its computational power. In particular it resolves the apparent
pathologies affecting the Sp(N) model, and it provides an exact formula for
late time vacuum correlation functions. We illustrate this by computing
probabilities for arbitrarily large field excursions, and by giving fully
explicit examples of vacuum 3- and 4-point functions. We discuss bulk
reconstruction and show the perturbative bulk QFT canonical commutations
relations can be reproduced from the fundamental operator algebra, but only up
to a minimal error term $\sim e^{-\mathcal{O}(N)}$, and only if the operators
are coarse grained in such a way that the number of accessible "pixels" is less
than $\mathcal{O}(N)$. Independent of this, we show that upon gauging the
higher spin symmetry group, one is left with $2N$ physical degrees of freedom,
and that all gauge invariant quantities can be computed by a $2N \times 2N$
matrix model. This suggests a concrete realization of the idea of cosmological
complementarity.
| [
{
"created": "Mon, 27 Nov 2017 23:18:55 GMT",
"version": "v1"
}
] | 2017-11-29 | [
[
"Anninos",
"Dionysios",
""
],
[
"Denef",
"Frederik",
""
],
[
"Monten",
"Ruben",
""
],
[
"Sun",
"Zimo",
""
]
] | We propose a complete microscopic definition of the Hilbert space of minimal higher spin de Sitter quantum gravity and its Hartle-Hawking vacuum state. The fundamental degrees of freedom are $2N$ bosonic fields living on the future conformal boundary, where $N$ is proportional to the de Sitter horizon entropy. The vacuum state is normalizable. The model agrees in perturbation theory with expectations from a previously proposed dS-CFT description in terms of a fermionic Sp(N) model, but it goes beyond this, both in its conceptual scope and in its computational power. In particular it resolves the apparent pathologies affecting the Sp(N) model, and it provides an exact formula for late time vacuum correlation functions. We illustrate this by computing probabilities for arbitrarily large field excursions, and by giving fully explicit examples of vacuum 3- and 4-point functions. We discuss bulk reconstruction and show the perturbative bulk QFT canonical commutations relations can be reproduced from the fundamental operator algebra, but only up to a minimal error term $\sim e^{-\mathcal{O}(N)}$, and only if the operators are coarse grained in such a way that the number of accessible "pixels" is less than $\mathcal{O}(N)$. Independent of this, we show that upon gauging the higher spin symmetry group, one is left with $2N$ physical degrees of freedom, and that all gauge invariant quantities can be computed by a $2N \times 2N$ matrix model. This suggests a concrete realization of the idea of cosmological complementarity. |
hep-th/0402068 | Wolfgang Mueck | Wolfgang M\"uck and Maurizio Prisco | Glueball Scattering Amplitudes from Holography | 34 pages v2: comments on local terms and references added, v3:
version published in JHEP | JHEP0404:037,2004 | 10.1088/1126-6708/2004/04/037 | ROM2F/2004/03, NA-DSF-2-2004 | hep-th | null | Using techniques developed in a previous paper three-point functions in field
theories described by holographic renormalization group flows are computed. We
consider a system of one active scalar and one inert scalar coupled to gravity.
For the GPPZ flow, their dual operators create states that are interpreted as
glueballs of the N=1 SYM theory, which lies at the infrared end of the
renormalization group flow. The scattering amplitudes for three-glueball
processes are calculated providing precise predictions for glueball decays in
N=1 SYM theory. Numerical results for low-lying glueballs are included.
| [
{
"created": "Mon, 9 Feb 2004 13:59:18 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Feb 2004 10:08:49 GMT",
"version": "v2"
},
{
"created": "Tue, 27 Apr 2004 09:15:35 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Mück",
"Wolfgang",
""
],
[
"Prisco",
"Maurizio",
""
]
] | Using techniques developed in a previous paper three-point functions in field theories described by holographic renormalization group flows are computed. We consider a system of one active scalar and one inert scalar coupled to gravity. For the GPPZ flow, their dual operators create states that are interpreted as glueballs of the N=1 SYM theory, which lies at the infrared end of the renormalization group flow. The scattering amplitudes for three-glueball processes are calculated providing precise predictions for glueball decays in N=1 SYM theory. Numerical results for low-lying glueballs are included. |
1101.1591 | Vyacheslav Soroka | Dmitrij V. Soroka and Vyacheslav A. Soroka | Gauge semi-simple extension of the Poincar\'e group | Latex, 4 pages. Correction of misprints | null | 10.1016/j.physletb.2011.07.003 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Based on the gauge semi-simple tensor extension of the Poincar\'e group
another alternative approach to the cosmological term problem is proposed.
| [
{
"created": "Sat, 8 Jan 2011 13:05:06 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Mar 2011 08:20:55 GMT",
"version": "v2"
},
{
"created": "Thu, 31 Mar 2011 12:23:39 GMT",
"version": "v3"
},
{
"created": "Mon, 4 Apr 2011 12:05:48 GMT",
"version": "v4"
}
] | 2015-05-27 | [
[
"Soroka",
"Dmitrij V.",
""
],
[
"Soroka",
"Vyacheslav A.",
""
]
] | Based on the gauge semi-simple tensor extension of the Poincar\'e group another alternative approach to the cosmological term problem is proposed. |
1302.3732 | C. P. Martin Professor | C.P. Martin | The Minimal and the New Minimal Supersymmetric Grand Unified Theories on
Noncommutative Space-time | 22 pages, no figures. References added | null | 10.1088/0264-9381/30/15/155019 | FTI/UCM 133-2013 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct noncommutative versions of both the minimal and the new minimal
supersymmetric Grand Unified Theories. The enveloping-algebra formalism is used
to carry out such constructions. The beautiful formulation of the Higgs sector
of these noncommutative theories is a consequence of fact that, in the GUTs at
hand, the ordinary Higgs fields can be realized as elements of the Clifford
algebra Cl10(C). In the noncommutative supersymmetric GUTs we formulate,
supersymmetry is linearly realized by the noncommutative fields; but it is not
realized by the ordinary fields that define those noncommutative fields via the
Seiberg-Witten map.
| [
{
"created": "Fri, 15 Feb 2013 11:33:50 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Feb 2013 13:24:00 GMT",
"version": "v2"
}
] | 2015-06-15 | [
[
"Martin",
"C. P.",
""
]
] | We construct noncommutative versions of both the minimal and the new minimal supersymmetric Grand Unified Theories. The enveloping-algebra formalism is used to carry out such constructions. The beautiful formulation of the Higgs sector of these noncommutative theories is a consequence of fact that, in the GUTs at hand, the ordinary Higgs fields can be realized as elements of the Clifford algebra Cl10(C). In the noncommutative supersymmetric GUTs we formulate, supersymmetry is linearly realized by the noncommutative fields; but it is not realized by the ordinary fields that define those noncommutative fields via the Seiberg-Witten map. |
1701.05576 | David Kutasov | Amit Giveon, Nissan Itzhaki and David Kutasov | $T\bar T$ and LST | v2: added references, v3: corrected typos and added references | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It was recently shown that the theory obtained by deforming a general two
dimensional conformal theory by the irrelevant operator $T\bar T$ is solvable.
In the context of holography, a large class of such theories can be obtained by
studying string theory on $AdS_3$. We show that a certain $T\bar T$ deformation
of the boundary $CFT_2$ gives rise in the bulk to string theory in a background
that interpolates between $AdS_3$ in the IR and a linear dilaton spacetime in
the UV, i.e. to a two dimensional vacuum of Little String Theory. This
construction provides holographic duals for a large class of vacua of string
theory in asymptotically linear dilaton spacetimes, and sheds light on the UV
behavior of $T\bar T$ deformed $CFT_2$. It may provide a step towards
holography in flat spacetime.
| [
{
"created": "Thu, 19 Jan 2017 19:35:30 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Mar 2017 03:25:06 GMT",
"version": "v2"
},
{
"created": "Tue, 14 Jul 2020 15:16:09 GMT",
"version": "v3"
}
] | 2020-07-15 | [
[
"Giveon",
"Amit",
""
],
[
"Itzhaki",
"Nissan",
""
],
[
"Kutasov",
"David",
""
]
] | It was recently shown that the theory obtained by deforming a general two dimensional conformal theory by the irrelevant operator $T\bar T$ is solvable. In the context of holography, a large class of such theories can be obtained by studying string theory on $AdS_3$. We show that a certain $T\bar T$ deformation of the boundary $CFT_2$ gives rise in the bulk to string theory in a background that interpolates between $AdS_3$ in the IR and a linear dilaton spacetime in the UV, i.e. to a two dimensional vacuum of Little String Theory. This construction provides holographic duals for a large class of vacua of string theory in asymptotically linear dilaton spacetimes, and sheds light on the UV behavior of $T\bar T$ deformed $CFT_2$. It may provide a step towards holography in flat spacetime. |
1006.2387 | Matthew Roberts | Thomas Faulkner, Gary T. Horowitz, Matthew M. Roberts | New stability results for Einstein scalar gravity | null | Class.Quant.Grav.27:205007,2010 | 10.1088/0264-9381/27/20/205007 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider asymptotically anti de Sitter gravity coupled to a scalar field
with mass slightly above the Breitenlohner-Freedman bound. This theory admits a
large class of consistent boundary conditions characterized by an arbitrary
function $W$. An important open question is to determine which $W$ admit stable
ground states. It has previously been shown that the total energy is bounded
from below if $W$ is bounded from below and the bulk scalar potential $V(\phi)$
admits a suitable superpotential. We extend this result and show that the
energy remains bounded even in some cases where $W$ can become arbitrarily
negative. As one application, this leads to the possibility that in
gauge/gravity duality, one can add a double trace operator with negative
coefficient to the dual field theory and still have a stable vacuum.
| [
{
"created": "Fri, 11 Jun 2010 20:00:51 GMT",
"version": "v1"
}
] | 2014-11-21 | [
[
"Faulkner",
"Thomas",
""
],
[
"Horowitz",
"Gary T.",
""
],
[
"Roberts",
"Matthew M.",
""
]
] | We consider asymptotically anti de Sitter gravity coupled to a scalar field with mass slightly above the Breitenlohner-Freedman bound. This theory admits a large class of consistent boundary conditions characterized by an arbitrary function $W$. An important open question is to determine which $W$ admit stable ground states. It has previously been shown that the total energy is bounded from below if $W$ is bounded from below and the bulk scalar potential $V(\phi)$ admits a suitable superpotential. We extend this result and show that the energy remains bounded even in some cases where $W$ can become arbitrarily negative. As one application, this leads to the possibility that in gauge/gravity duality, one can add a double trace operator with negative coefficient to the dual field theory and still have a stable vacuum. |
1810.06995 | Tatsuma Nishioka | Nozomu Kobayashi, Tatsuma Nishioka, Yoshiki Sato and Kento Watanabe | Towards a $C$-theorem in defect CFT | 48 pages, 5 figures, v2: typos corrected, references added, minor
changes | null | 10.1007/JHEP01(2019)039 | UT-18-22, IPMU18-0166 | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore a $C$-theorem in defect conformal field theories (DCFTs) that
unify all the known conjectures and theorems until now. We examine as a
candidate $C$-function the additional contributions from conformal defects to
the sphere free energy and the entanglement entropy across a sphere in a number
of examples including holographic models. We find the two quantities are
equivalent, when suitably regularized, for codimension-one defects (or
boundaries), but differ by a universal constant term otherwise. Moreover, we
find in a few field theoretic examples that the sphere free energy decreases
but the entanglement entropy increases along a certain renormalization group
(RG) flow triggered by a defect localized perturbation which is assumed to have
a trivial IR fixed point without defects. We hence propose a $C$-theorem in
DCFTs stating that the increment of the regularized sphere free energy due to
the defect does not increase under any defect RG flow. We also provide a proof
of our proposal in several holographic models of defect RG flows.
| [
{
"created": "Tue, 16 Oct 2018 13:48:57 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Oct 2018 09:12:36 GMT",
"version": "v2"
}
] | 2019-01-30 | [
[
"Kobayashi",
"Nozomu",
""
],
[
"Nishioka",
"Tatsuma",
""
],
[
"Sato",
"Yoshiki",
""
],
[
"Watanabe",
"Kento",
""
]
] | We explore a $C$-theorem in defect conformal field theories (DCFTs) that unify all the known conjectures and theorems until now. We examine as a candidate $C$-function the additional contributions from conformal defects to the sphere free energy and the entanglement entropy across a sphere in a number of examples including holographic models. We find the two quantities are equivalent, when suitably regularized, for codimension-one defects (or boundaries), but differ by a universal constant term otherwise. Moreover, we find in a few field theoretic examples that the sphere free energy decreases but the entanglement entropy increases along a certain renormalization group (RG) flow triggered by a defect localized perturbation which is assumed to have a trivial IR fixed point without defects. We hence propose a $C$-theorem in DCFTs stating that the increment of the regularized sphere free energy due to the defect does not increase under any defect RG flow. We also provide a proof of our proposal in several holographic models of defect RG flows. |
hep-th/9705147 | Simon F. Ross | S.W. Hawking and Simon F. Ross | Loss of quantum coherence through scattering off virtual black holes | 29 pages, Latex, 4 figures | Phys.Rev. D56 (1997) 6403-6415 | 10.1103/PhysRevD.56.6403 | DAMTP/R-97/21, UCSB-TH-97-08 | hep-th gr-qc | null | In quantum gravity, fields may lose quantum coherence by scattering off
vacuum fluctuations in which virtual black hole pairs appear and disappear.
Although it is not possible to properly compute the scattering off such
fluctuations, we argue that one can get useful qualitative results, which
provide a guide to the possible effects of such scattering, by considering a
quantum field on the $C$ metric, which has the same topology as a virtual black
hole pair. We study a scalar field on the Lorentzian $C$ metric background,
with the scalar field in the analytically-continued Euclidean vacuum state. We
find that there are a finite number of particles at infinity in this state,
contrary to recent claims made by Yi. Thus, this state is not determined by
data at infinity, and there is loss of quantum coherence in this semi-classical
calculation.
| [
{
"created": "Tue, 20 May 1997 18:26:48 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Hawking",
"S. W.",
""
],
[
"Ross",
"Simon F.",
""
]
] | In quantum gravity, fields may lose quantum coherence by scattering off vacuum fluctuations in which virtual black hole pairs appear and disappear. Although it is not possible to properly compute the scattering off such fluctuations, we argue that one can get useful qualitative results, which provide a guide to the possible effects of such scattering, by considering a quantum field on the $C$ metric, which has the same topology as a virtual black hole pair. We study a scalar field on the Lorentzian $C$ metric background, with the scalar field in the analytically-continued Euclidean vacuum state. We find that there are a finite number of particles at infinity in this state, contrary to recent claims made by Yi. Thus, this state is not determined by data at infinity, and there is loss of quantum coherence in this semi-classical calculation. |
hep-th/9303119 | null | M. D. Freeman and P. West | On the relation between integrability and infinite-dimensional algebras | (Talk given at the 1992 Johns Hopkins meeting, Goteborg, Sweden), 22
pages, KCL-TH-93-1 | null | null | null | hep-th | null | We review our work on the relation between integrability and
infinite-dimensional algebras. We first consider the question of what sets of
commuting charges can be constructed from the current of a \mbox{\sf U}(1)
Kac-Moody algebra. It emerges that there exists a set $S_n$ of such charges for
each positive integer $n>1$; the corresponding value of the central charge in
the Feigin-Fuchs realization of the stress tensor is $c=13-6n-6/n$. The charges
in each series can be written in terms of the generators of an exceptional
\W-algebra. We show that the \W-algebras that arise in this way are symmetries
of Liouville theory for special values of the coupling. We then exhibit a
relationship between the \nls equation and the KP hierarchy. From this it
follows that there is a relationship between the \nls equation and the algebra
\Wi. These examples provide evidence for our conjecture that the phenomenon of
integrability is intimately linked with properties of infinite dimensional
algebras.
| [
{
"created": "Fri, 19 Mar 1993 15:13:00 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Freeman",
"M. D.",
""
],
[
"West",
"P.",
""
]
] | We review our work on the relation between integrability and infinite-dimensional algebras. We first consider the question of what sets of commuting charges can be constructed from the current of a \mbox{\sf U}(1) Kac-Moody algebra. It emerges that there exists a set $S_n$ of such charges for each positive integer $n>1$; the corresponding value of the central charge in the Feigin-Fuchs realization of the stress tensor is $c=13-6n-6/n$. The charges in each series can be written in terms of the generators of an exceptional \W-algebra. We show that the \W-algebras that arise in this way are symmetries of Liouville theory for special values of the coupling. We then exhibit a relationship between the \nls equation and the KP hierarchy. From this it follows that there is a relationship between the \nls equation and the algebra \Wi. These examples provide evidence for our conjecture that the phenomenon of integrability is intimately linked with properties of infinite dimensional algebras. |
2109.09263 | Sourav Roychowdhury | Sourav Roychowdhury and Prasanta K. Tripathy | Penrose limits in non-Abelian T-dual of Klebanov-Tseytlin Background | 1+32 pages; v2; Supersymmetry discussion added; references added;
Accepted to Phys. Rev. D | Phys. Rev. D. 104, 126016 (2021) | 10.1103/PhysRevD.104.126016 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | In this paper we consider the Klebanov-Tseytlin background and its
non-Abelian T-dual geometry along a suitably chosen $SU(2)$ subgroup of
isometries. We analyse the Penrose limits along various null geodesics of both
the geometries. We observe that, the Klebanov-Tseytlin geometry does not admit
any pp-wave solutions. However, the T-dual background gives rise to pp-wave
solution upon taking the Penrose limit along some appropriate null geodesic. We
comment on the possible gauge theory dual for our pp-wave background.
| [
{
"created": "Mon, 20 Sep 2021 01:49:05 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Nov 2021 06:44:53 GMT",
"version": "v2"
}
] | 2021-12-17 | [
[
"Roychowdhury",
"Sourav",
""
],
[
"Tripathy",
"Prasanta K.",
""
]
] | In this paper we consider the Klebanov-Tseytlin background and its non-Abelian T-dual geometry along a suitably chosen $SU(2)$ subgroup of isometries. We analyse the Penrose limits along various null geodesics of both the geometries. We observe that, the Klebanov-Tseytlin geometry does not admit any pp-wave solutions. However, the T-dual background gives rise to pp-wave solution upon taking the Penrose limit along some appropriate null geodesic. We comment on the possible gauge theory dual for our pp-wave background. |
1710.01049 | Viacheslav Emelyanov | Slava Emelyanov | QED loop effects in the spacetime background of a Schwarzschild black
hole | Conference: C17-07-24.3. This is a contribution to the Proceedings of
the 3rd Karl Schwarzschild Meeting (FIAS, 24-28 July, 2017), based on the
talk that has been awarded the Karl Schwarzschild Prize | J. Phys.: Conf. Ser. 942 012009 (2017) | 10.1088/1742-6596/942/1/012009 | KA-TP-28-2017 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The black-hole evaporation implies that the quantum-field propagators in a
local Minkowski frame acquire a correction, which gives rise to this process.
The modification of the propagators causes, in turn, non-trivial local effects
due to the radiative/loop diagrams in non-linear QFTs. In particular, there
should be imprints of the evaporation in QED, if one goes beyond the tree-level
approximation. Of special interest in this respect is the region near the
black-hole horizon, which, already at tree level, appears to show highly
non-classical features, e.g., negative energy density and energy flux into the
black hole.
| [
{
"created": "Tue, 3 Oct 2017 09:28:17 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Jan 2018 09:23:41 GMT",
"version": "v2"
}
] | 2018-01-10 | [
[
"Emelyanov",
"Slava",
""
]
] | The black-hole evaporation implies that the quantum-field propagators in a local Minkowski frame acquire a correction, which gives rise to this process. The modification of the propagators causes, in turn, non-trivial local effects due to the radiative/loop diagrams in non-linear QFTs. In particular, there should be imprints of the evaporation in QED, if one goes beyond the tree-level approximation. Of special interest in this respect is the region near the black-hole horizon, which, already at tree level, appears to show highly non-classical features, e.g., negative energy density and energy flux into the black hole. |
2109.13372 | James Vary | James P. Vary, Mengyao Huang, Shreeram Jawadekar, Mamoon Sharaf,
Avaroth Harindranath and Dipankar Chakrabarti | Critical Coupling for Two-dimensional $\phi^4$ Theory in Discretized
Light-Cone Quantization | 29 pages, 6 figures. Results remain the same as the first version.
Revisions in the text reflect those made for final publication. One reference
has been added | Phys. Rev. D 105, 016020 (2022) | 10.1103/PhysRevD.105.016020 | null | hep-th nucl-th | http://creativecommons.org/licenses/by/4.0/ | We solve for the critical coupling in the symmetric phase of two-dimensional
$\phi^4$ field theory using Discretized Light-Cone Quantization. We adopt
periodic boundary conditions, neglect the zero mode, and obtain a critical
coupling consistent with the critical coupling reported using conformal
truncation in light-front quantization. We find a 17% dfference from the
critical coupling reported with light-front quantization in a symmetric
polynomial basis.
| [
{
"created": "Mon, 27 Sep 2021 22:29:11 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Feb 2022 12:39:59 GMT",
"version": "v2"
}
] | 2022-02-04 | [
[
"Vary",
"James P.",
""
],
[
"Huang",
"Mengyao",
""
],
[
"Jawadekar",
"Shreeram",
""
],
[
"Sharaf",
"Mamoon",
""
],
[
"Harindranath",
"Avaroth",
""
],
[
"Chakrabarti",
"Dipankar",
""
]
] | We solve for the critical coupling in the symmetric phase of two-dimensional $\phi^4$ field theory using Discretized Light-Cone Quantization. We adopt periodic boundary conditions, neglect the zero mode, and obtain a critical coupling consistent with the critical coupling reported using conformal truncation in light-front quantization. We find a 17% dfference from the critical coupling reported with light-front quantization in a symmetric polynomial basis. |
1905.09421 | Patricio Salgado-Rebolledo | Patricio Salgado-Rebolledo | The Maxwell group in 2+1 dimensions and its infinite-dimensional
enhancements | 42 pages, typos corrected | null | 10.1007/JHEP10(2019)039 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Maxwell group in 2+1 dimensions is given by a particular extension of a
semi-direct product. This mathematical structure provides a sound framework to
study different generalizations of the Maxwell symmetry in three space-time
dimensions. By giving a general definition of extended semi-direct products, we
construct infinite-dimensional enhancements of the Maxwell group that enlarge
the ${\rm ISL}(2,\mathbb{R})$ Kac-Moody group and the ${\rm BMS}_3$ group by
including non-commutative supertranslations. The coadjoint representation in
each case is defined, and the corresponding geometric actions on coadjoint
orbits are presented. These actions lead to novel Wess-Zumino terms that
naturally realize the aforementioned infinite-dimensional symmetries. We
briefly elaborate on potential applications in the contexts of
three-dimensional gravity, higher-spin symmetries, and quantum Hall systems.
| [
{
"created": "Thu, 23 May 2019 01:28:36 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Jul 2019 04:39:11 GMT",
"version": "v2"
},
{
"created": "Tue, 27 Aug 2019 07:34:35 GMT",
"version": "v3"
},
{
"created": "Mon, 6 Jul 2020 23:25:30 GMT",
"version": "v4"
}
] | 2020-07-08 | [
[
"Salgado-Rebolledo",
"Patricio",
""
]
] | The Maxwell group in 2+1 dimensions is given by a particular extension of a semi-direct product. This mathematical structure provides a sound framework to study different generalizations of the Maxwell symmetry in three space-time dimensions. By giving a general definition of extended semi-direct products, we construct infinite-dimensional enhancements of the Maxwell group that enlarge the ${\rm ISL}(2,\mathbb{R})$ Kac-Moody group and the ${\rm BMS}_3$ group by including non-commutative supertranslations. The coadjoint representation in each case is defined, and the corresponding geometric actions on coadjoint orbits are presented. These actions lead to novel Wess-Zumino terms that naturally realize the aforementioned infinite-dimensional symmetries. We briefly elaborate on potential applications in the contexts of three-dimensional gravity, higher-spin symmetries, and quantum Hall systems. |
1402.0450 | Kimichika Fukushima | Kimichika Fukushima and Hikaru Sato | Example of an explicit function for confining classical Yang-Mills
fields with quantum fluctuations in the path integral scheme | 14 pages; v2:missing factor inserted (Eqs.82,87,89,90);spell/grammar
corrected; v3:15 pages; Sect.1, Subsect.3.3 and related descriptions in
Subsect.3.1 revised with citations; v4:16 pages;Sect.2 (Subsections
2.1,2.2,2.3), Sect.3, Sect.4 (Subsections 4.1,4.2), and related Sect.1 and
References revised; v5:a few typos corrected; to appear in Bulg. J. Phys. 41
(2014) 142-171 (title in BJP changed) | Bulg. J. Phys. 41 (2014) 142-171 | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This article reports an explicit function form for confining classical
Yang-Mills vector potentials and quantum fluctuations around the classical
field. The classical vector potential, which is composed of a confining
localized function and an unlocalized function, satisfies the classical
Yang-Mills equation. The confining localized function contributes to the Wilson
loop, while the unlocalized function makes no contribution to this loop. The
confining linear potential between a heavy fermion and antifermion is due to
(1) the Lie algebra and (2) the form of the confining localized function which
has opposite signs at the positions of the particle and antiparticle along the
Wilson loop in the time direction. Some classical confining parts of vector
potentials also change sign on inversion of the coordinates of the axis
perpendicular to the axis joining the two particles. The localized parts of the
vector potentials are squeezed around the axis connecting the two particles,
and the string tension of the confining linear potential is derived. Quantum
fluctuations are formulated using a field expression in terms of local basis
functions in real spacetime. The quantum path integral gives the Coulomb
potential between the two particles in addition to the linear potential due to
the classical fields.
| [
{
"created": "Mon, 3 Feb 2014 18:07:01 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Feb 2014 16:53:46 GMT",
"version": "v2"
},
{
"created": "Mon, 19 May 2014 12:37:42 GMT",
"version": "v3"
},
{
"created": "Wed, 20 Aug 2014 13:49:09 GMT",
"version": "v4"
},
{
"created": "Sat, 4 Oct 2014 13:45:23 GMT",
"version": "v5"
}
] | 2014-11-04 | [
[
"Fukushima",
"Kimichika",
""
],
[
"Sato",
"Hikaru",
""
]
] | This article reports an explicit function form for confining classical Yang-Mills vector potentials and quantum fluctuations around the classical field. The classical vector potential, which is composed of a confining localized function and an unlocalized function, satisfies the classical Yang-Mills equation. The confining localized function contributes to the Wilson loop, while the unlocalized function makes no contribution to this loop. The confining linear potential between a heavy fermion and antifermion is due to (1) the Lie algebra and (2) the form of the confining localized function which has opposite signs at the positions of the particle and antiparticle along the Wilson loop in the time direction. Some classical confining parts of vector potentials also change sign on inversion of the coordinates of the axis perpendicular to the axis joining the two particles. The localized parts of the vector potentials are squeezed around the axis connecting the two particles, and the string tension of the confining linear potential is derived. Quantum fluctuations are formulated using a field expression in terms of local basis functions in real spacetime. The quantum path integral gives the Coulomb potential between the two particles in addition to the linear potential due to the classical fields. |
2203.07533 | Rashmish Mishra | Prateek Agrawal, Cari Cesarotti, Andreas Karch, Rashmish K. Mishra,
Lisa Randall and Raman Sundrum | Warped Compactifications in Particle Physics, Cosmology and Quantum
Gravity | 12 pages, 3 figures. Contribution to Snowmass 2021 | null | null | null | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | Particle physics has evolved in the past decade through evaluating the
consequences of experimental measurements as well as exploiting theoretical
tools that permit exploration of new model building and cosmological
possibilities. Particularly due to insights from the AdS/CFT correspondence,
higher-dimensional warped compactifications, in particular, have played a big
role in recent developments by allowing a study of regimes of parameters that
would otherwise be intractable. Similarly, theoretical developments in quantum
gravity benefit from the bigger range of possibilities that can be explored
using warped geometry, allowing for constructions of string vacua with positive
cosmological constant and for the exploration of entanglement and information
transfer in arbitrary dimensions. Puzzles remain in both more
phenomenologically oriented and more theoretically oriented contexts which form
the basis for a rich research program in the future as well.
| [
{
"created": "Mon, 14 Mar 2022 22:36:27 GMT",
"version": "v1"
}
] | 2022-03-16 | [
[
"Agrawal",
"Prateek",
""
],
[
"Cesarotti",
"Cari",
""
],
[
"Karch",
"Andreas",
""
],
[
"Mishra",
"Rashmish K.",
""
],
[
"Randall",
"Lisa",
""
],
[
"Sundrum",
"Raman",
""
]
] | Particle physics has evolved in the past decade through evaluating the consequences of experimental measurements as well as exploiting theoretical tools that permit exploration of new model building and cosmological possibilities. Particularly due to insights from the AdS/CFT correspondence, higher-dimensional warped compactifications, in particular, have played a big role in recent developments by allowing a study of regimes of parameters that would otherwise be intractable. Similarly, theoretical developments in quantum gravity benefit from the bigger range of possibilities that can be explored using warped geometry, allowing for constructions of string vacua with positive cosmological constant and for the exploration of entanglement and information transfer in arbitrary dimensions. Puzzles remain in both more phenomenologically oriented and more theoretically oriented contexts which form the basis for a rich research program in the future as well. |
2212.08270 | Edward Witten | Edward Witten | A Note On The Canonical Formalism for Gravity | 55 pp, minor corrections and clarifications in this version | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe a simple gauge-fixing that leads to a construction of a quantum
Hilbert space for quantum gravity in an asymptotically Anti de Sitter
spacetime, valid to all orders of perturbation theory. The construction is
motivated by a relationship of the phase space of gravity in asymptotically
Anti de Sitter spacetime to a cotangent bundle. We describe what is known about
this relationship and some extensions that might plausibly be true. A key fact
is that, under certain conditions, the Einstein Hamiltonian constraint equation
can be viewed as a way to gauge fix the group of conformal rescalings of the
metric of a Cauchy hypersurface. An analog of the procedure that we follow for
Anti de Sitter gravity leads to standard results for a Klein-Gordon particle.
| [
{
"created": "Fri, 16 Dec 2022 04:05:55 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Jun 2023 18:35:03 GMT",
"version": "v2"
}
] | 2023-06-28 | [
[
"Witten",
"Edward",
""
]
] | We describe a simple gauge-fixing that leads to a construction of a quantum Hilbert space for quantum gravity in an asymptotically Anti de Sitter spacetime, valid to all orders of perturbation theory. The construction is motivated by a relationship of the phase space of gravity in asymptotically Anti de Sitter spacetime to a cotangent bundle. We describe what is known about this relationship and some extensions that might plausibly be true. A key fact is that, under certain conditions, the Einstein Hamiltonian constraint equation can be viewed as a way to gauge fix the group of conformal rescalings of the metric of a Cauchy hypersurface. An analog of the procedure that we follow for Anti de Sitter gravity leads to standard results for a Klein-Gordon particle. |
0802.2018 | Hongwei Yu | Zhiying Zhu and Hongwei Yu | Thermal nature of de Sitter spacetime and spontaneous excitation of
atoms | 11 pages | JHEP0802:033,2008 | 10.1088/1126-6708/2008/02/033 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider, in de Sitter spacetime, both freely falling and static two-level
atoms in interaction with a conformally coupled massless scalar field in the de
Sitter-invariant vacuum, and separately calculate the contributions of vacuum
fluctuations and radiation reaction to the atom's spontaneous excitation rate.
We find that spontaneous excitations occur even for the freely falling atom as
if there is a thermal bath of radiation at the Gibbons-Hawking temperature and
we thus recover, in a different physical context, the results of Gibbons and
Hawking that reveals the thermal nature of de Sitter spacetime. Similarly, for
the case of the static atom, our results show that the atom also perceives a
thermal bath which now arises as a result of the intrinsic thermal nature of de
Sitter spacetime and the Unruh effect associated with the inherent acceleration
of the atom.
| [
{
"created": "Thu, 14 Feb 2008 13:14:37 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Zhu",
"Zhiying",
""
],
[
"Yu",
"Hongwei",
""
]
] | We consider, in de Sitter spacetime, both freely falling and static two-level atoms in interaction with a conformally coupled massless scalar field in the de Sitter-invariant vacuum, and separately calculate the contributions of vacuum fluctuations and radiation reaction to the atom's spontaneous excitation rate. We find that spontaneous excitations occur even for the freely falling atom as if there is a thermal bath of radiation at the Gibbons-Hawking temperature and we thus recover, in a different physical context, the results of Gibbons and Hawking that reveals the thermal nature of de Sitter spacetime. Similarly, for the case of the static atom, our results show that the atom also perceives a thermal bath which now arises as a result of the intrinsic thermal nature of de Sitter spacetime and the Unruh effect associated with the inherent acceleration of the atom. |
1304.1080 | Sergiu I. Vacaru | Sergiu I. Vacaru | Off-Diagonal Ekpyrotic Scenarios and Equivalence of Modified, Massive
and/or Einstein Gravity | latex2e, 12pt, 12 pages, v4 with up-dated affiliations and
substantial modifications requested by editor and referee and accepted by
Phys. Lett. B | Phys. Lett. B 752 (2016) 27-33 | 10.1016/j.physletb.2015.11.024 | null | hep-th astro-ph.CO math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using our anholonomic frame deformation method, we show how generic
off-diagonal cosmological solutions depending, in general, on all spacetime
coordinates and undergoing a phase of ultra-slow contraction can be constructed
in massive gravity. In this paper, there are found and studied new classes of
locally anisotropic and (in) homogeneous cosmological metrics with open and
closed spatial geometries. The late time acceleration is present due to
effective cosmological terms induced by nonlinear off-diagonal interactions and
graviton mass. The off-diagonal cosmological metrics and related St\" uckelberg
fields are constructed in explicit form up to nonholonomic frame transforms of
the Friedmann-Lama\^itre-Robertson-Walker (FLRW) coordinates. We show that the
solutions include matter, graviton mass and other effective sources modelling
nonlinear gravitational and matter fields interactions in modified and/or
massive gravity, with polarization of physical constants and deformations of
metrics, which may explain certain dark energy and dark matter effects. There
are stated and analyzed the conditions when such configurations mimic
interesting solutions in general relativity and modifications and recast the
general Painlev\'e--ullstrand and FLRW metrics. Finally, we elaborate on a
reconstruction procedure for a subclass of off-diagonal cosmological solutions
which describe cyclic and ekpyrotic universes, with an emphasis on open issues
and observable signatures.
| [
{
"created": "Mon, 1 Apr 2013 06:30:36 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Apr 2013 13:06:50 GMT",
"version": "v2"
},
{
"created": "Mon, 10 Nov 2014 12:24:24 GMT",
"version": "v3"
},
{
"created": "Mon, 9 Nov 2015 08:27:37 GMT",
"version": "v4"
}
] | 2017-06-05 | [
[
"Vacaru",
"Sergiu I.",
""
]
] | Using our anholonomic frame deformation method, we show how generic off-diagonal cosmological solutions depending, in general, on all spacetime coordinates and undergoing a phase of ultra-slow contraction can be constructed in massive gravity. In this paper, there are found and studied new classes of locally anisotropic and (in) homogeneous cosmological metrics with open and closed spatial geometries. The late time acceleration is present due to effective cosmological terms induced by nonlinear off-diagonal interactions and graviton mass. The off-diagonal cosmological metrics and related St\" uckelberg fields are constructed in explicit form up to nonholonomic frame transforms of the Friedmann-Lama\^itre-Robertson-Walker (FLRW) coordinates. We show that the solutions include matter, graviton mass and other effective sources modelling nonlinear gravitational and matter fields interactions in modified and/or massive gravity, with polarization of physical constants and deformations of metrics, which may explain certain dark energy and dark matter effects. There are stated and analyzed the conditions when such configurations mimic interesting solutions in general relativity and modifications and recast the general Painlev\'e--ullstrand and FLRW metrics. Finally, we elaborate on a reconstruction procedure for a subclass of off-diagonal cosmological solutions which describe cyclic and ekpyrotic universes, with an emphasis on open issues and observable signatures. |
hep-th/0502169 | Papantonopoulos Eleftherios | Bertha Cuadros-Melgar and Eleftherios Papantonopoulos | The Need of Dark Energy for Dynamical Compactification of Extra
Dimensions on the Brane | 18 pages, 4 figures, no changes, to appear in Phys. Rev. D | Phys.Rev. D72 (2005) 064008 | 10.1103/PhysRevD.72.064008 | null | hep-th gr-qc | null | We consider a six-dimensional braneworld model and we study the cosmological
evolution of a (4+1) brane-universe. Introducing matter on the brane we show
that the scale factor of the physical three-dimensional brane-universe is
related to the scale factor of the fourth dimension on the brane, and the
suppression of the extra dimension compared to the three dimensions requires
the presence of dark energy.
| [
{
"created": "Fri, 18 Feb 2005 15:20:00 GMT",
"version": "v1"
},
{
"created": "Wed, 31 Aug 2005 11:26:32 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Cuadros-Melgar",
"Bertha",
""
],
[
"Papantonopoulos",
"Eleftherios",
""
]
] | We consider a six-dimensional braneworld model and we study the cosmological evolution of a (4+1) brane-universe. Introducing matter on the brane we show that the scale factor of the physical three-dimensional brane-universe is related to the scale factor of the fourth dimension on the brane, and the suppression of the extra dimension compared to the three dimensions requires the presence of dark energy. |
hep-th/9507042 | Pinto Marcus | Benoit Bellet, Philippe Garcia, Frederic Geniet and Marcus B. Pinto
(Montpellier U.) | Variational solution of the Gross-Neveu model at finite temperature in
the large N limit | 12 p., 1 fig, this is the version which will appear in the Phys Lett
B, it differs from the previous one in what concerns the introduction and
conclusions (re written), several references have been added | Phys.Lett. B363 (1995) 184-188 | 10.1016/0370-2693(95)01221-B | PM 95-36 | hep-th | null | We use a nonperturbative variational method to investigate the phase
transition of the Gross-Neveu model. It is shown that the variational procedure
can be generalized to the finite temperature case. The large N result for the
phase transition is correctly reproduced.
| [
{
"created": "Fri, 7 Jul 1995 14:01:21 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Oct 1995 13:52:42 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Bellet",
"Benoit",
"",
"Montpellier U."
],
[
"Garcia",
"Philippe",
"",
"Montpellier U."
],
[
"Geniet",
"Frederic",
"",
"Montpellier U."
],
[
"Pinto",
"Marcus B.",
"",
"Montpellier U."
]
] | We use a nonperturbative variational method to investigate the phase transition of the Gross-Neveu model. It is shown that the variational procedure can be generalized to the finite temperature case. The large N result for the phase transition is correctly reproduced. |
1704.06235 | Tanmay Vachaspati | Tanmay Vachaspati | Quantum Backreaction on Classical Dynamics | 8 pages; fixed minor typos | null | 10.1103/PhysRevD.95.125002 | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Motivated by various systems in which quantum effects occur in classical
backgrounds, we consider the dynamics of a classical particle as described by a
coherent state that is coupled to a quantum bath via bi-quadratic interactions.
We evaluate the resulting quantum dissipation of the motion of the classical
particle. We also find classical initial conditions for the bath that
effectively lead to the same dissipation as that due to quantum effects,
possibly providing a way to approximately account for quantum backreaction
within a classical analysis.
| [
{
"created": "Thu, 20 Apr 2017 17:10:02 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Jan 2018 03:43:20 GMT",
"version": "v2"
},
{
"created": "Sun, 4 Feb 2018 18:38:53 GMT",
"version": "v3"
}
] | 2018-02-06 | [
[
"Vachaspati",
"Tanmay",
""
]
] | Motivated by various systems in which quantum effects occur in classical backgrounds, we consider the dynamics of a classical particle as described by a coherent state that is coupled to a quantum bath via bi-quadratic interactions. We evaluate the resulting quantum dissipation of the motion of the classical particle. We also find classical initial conditions for the bath that effectively lead to the same dissipation as that due to quantum effects, possibly providing a way to approximately account for quantum backreaction within a classical analysis. |
hep-th/0701267 | Tonguc Rador | Tongu\c{c} Rador | Acceleration of the Universe via f(R) Gravities and The Stability of
Extra Dimensions | Added and corrected some references, corrected typos and clarified an
argument about vanishing curvature scalar solutions. Added further references
and a note on the earlier related works of Zhuk et. al. I thank Prof. Zhuk
for his comments. Added further references. Somewhat enlarged and clarified
exposition | Phys.Rev.D75:064033,2007 | 10.1103/PhysRevD.75.064033 | null | hep-th | null | We discuss the possibility of obtaining the present acceleration of the
universe via f(R) gravity theories which recently attracted much attention. It
is known that f(R) theories generally have room for this. In this work we
stress that the requirement for the stabilization of extra dimensions is
naturally incorporated in such a generalization of Einstein gravity under
rather orthodox assumptions. We have restricted our study to pure f(R) gravity
without additional matter sources partially in view of the fact that if the
acceleration is to continue indefinitely any ordinary matter term is to
redshift to irrelevancy and mostly for economy in understanding. The general
conditions we find is that the manifold of the extra dimensional space is to
have negative internal curvature and that the Ricci scalar of the full
space-time manifold is also negative. The positive curvature case for extra
dimensional manifold is actually the most generic case. However this
necessitates a fine tuning between the Hubble constant and the size of extra
dimensions in the absence of matter sources.
| [
{
"created": "Mon, 29 Jan 2007 17:40:54 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Feb 2007 16:39:12 GMT",
"version": "v2"
},
{
"created": "Fri, 2 Feb 2007 13:33:40 GMT",
"version": "v3"
},
{
"created": "Fri, 16 Feb 2007 10:59:06 GMT",
"version": "v4"
}
] | 2008-11-26 | [
[
"Rador",
"Tonguç",
""
]
] | We discuss the possibility of obtaining the present acceleration of the universe via f(R) gravity theories which recently attracted much attention. It is known that f(R) theories generally have room for this. In this work we stress that the requirement for the stabilization of extra dimensions is naturally incorporated in such a generalization of Einstein gravity under rather orthodox assumptions. We have restricted our study to pure f(R) gravity without additional matter sources partially in view of the fact that if the acceleration is to continue indefinitely any ordinary matter term is to redshift to irrelevancy and mostly for economy in understanding. The general conditions we find is that the manifold of the extra dimensional space is to have negative internal curvature and that the Ricci scalar of the full space-time manifold is also negative. The positive curvature case for extra dimensional manifold is actually the most generic case. However this necessitates a fine tuning between the Hubble constant and the size of extra dimensions in the absence of matter sources. |
2403.14107 | Yu Nakayama | Yu Nakayama | Generalized Free Conformal Field Theories at Infinite Temperature -- In
memory of Iwasaki-sensei | 8 pages | null | null | YITP-24-31 | hep-th hep-lat | http://creativecommons.org/licenses/by/4.0/ | Can space-time symmetries such as Lorentz, dilatation, or conformal symmetry
be recovered at infinite temperature? To address this question, we study
correlation functions of generalized free conformal field theories (a.k.a free
holographic theories in thermal AdS space-time) at infinite temperature. We
show that they are broken at the leading order in bosonic correlation
functions, but a non-trivial scaling symmetry may emerge.
| [
{
"created": "Thu, 21 Mar 2024 03:39:30 GMT",
"version": "v1"
}
] | 2024-03-22 | [
[
"Nakayama",
"Yu",
""
]
] | Can space-time symmetries such as Lorentz, dilatation, or conformal symmetry be recovered at infinite temperature? To address this question, we study correlation functions of generalized free conformal field theories (a.k.a free holographic theories in thermal AdS space-time) at infinite temperature. We show that they are broken at the leading order in bosonic correlation functions, but a non-trivial scaling symmetry may emerge. |
hep-th/0604117 | Klaus Bering | K. Bering | A Note on Semidensities in Antisymplectic Geometry | 11 pages, LaTeX. v2: Added eqs. (4.1), (6.3), (6.4) & (6.5). v3: Sec.
6 expanded and ref. added. v4: Included a proof of the main statement in the
appendices. v5: Flipped the sign convention for \nu^{(2)}. v6: Stylistic
changes | J.Math.Phys.47:123513,2006 | 10.1063/1.2352859 | null | hep-th math.DG math.SG | null | We revisit Khudaverdian's geometric construction of an odd nilpotent operator
\Delta_E that sends semidensities to semidensities on an antisymplectic
manifold. We find a local formula for the \Delta_E operator in arbitrary
coordinates and we discuss its connection to Batalin-Vilkovisky quantization.
| [
{
"created": "Mon, 17 Apr 2006 19:49:02 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Apr 2006 19:48:19 GMT",
"version": "v2"
},
{
"created": "Thu, 18 May 2006 15:46:28 GMT",
"version": "v3"
},
{
"created": "Mon, 17 Jul 2006 15:28:29 GMT",
"version": "v4"
},
{
"created": "Tue, 10 Oct 2006 13:43:35 GMT",
"version": "v5"
},
{
"created": "Sat, 30 Dec 2006 18:53:32 GMT",
"version": "v6"
}
] | 2015-06-26 | [
[
"Bering",
"K.",
""
]
] | We revisit Khudaverdian's geometric construction of an odd nilpotent operator \Delta_E that sends semidensities to semidensities on an antisymplectic manifold. We find a local formula for the \Delta_E operator in arbitrary coordinates and we discuss its connection to Batalin-Vilkovisky quantization. |
2211.04736 | Pujian Mao | Pujian Mao and Weicheng Zhao | Null boundary gravitational charges from local Lorentz symmetries | 10 pages | Phys. Rev. D 107, 044004 (2023) | 10.1103/PhysRevD.107.044004 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | In this paper, we revisit the null boundary gravitational charge in the
Newman-Penrose formalism with special emphasis on the charges from local
Lorentz transformations. We find that there is one more charge derived from the
local Lorentz transformation and the new charge is purely from the Holst term.
This reveals a remarkable fact that trivial terms which do not change classical
equations of motion can not only affect the boundary degrees of freedom through
their contributions to the boundary charges but also have their own rights to
create new boundary degrees of freedom.
| [
{
"created": "Wed, 9 Nov 2022 08:17:48 GMT",
"version": "v1"
}
] | 2023-02-03 | [
[
"Mao",
"Pujian",
""
],
[
"Zhao",
"Weicheng",
""
]
] | In this paper, we revisit the null boundary gravitational charge in the Newman-Penrose formalism with special emphasis on the charges from local Lorentz transformations. We find that there is one more charge derived from the local Lorentz transformation and the new charge is purely from the Holst term. This reveals a remarkable fact that trivial terms which do not change classical equations of motion can not only affect the boundary degrees of freedom through their contributions to the boundary charges but also have their own rights to create new boundary degrees of freedom. |
hep-th/0005063 | Kenji Hamada | Ken-ji Hamada (KEK) | On The BRST Formulation of Diffeomorphism Invariant 4D Quantum Gravity | Latex, 11 pages | null | null | null | hep-th | null | In this note we give some remarks on the BRST formulation of a renormalizable
and diffemorphism invariant 4D quantum gravity recently proposed by the author,
which satisfies the integrability condition by Riegard, Fradkin and Tseytlin at
the 2-loop level. Diffeomorphism invariance requires an addition of the
Wess-Zumino action, from which the Weyl action can be induced by expanding
around a vacuum expectation value of the conformal mode. This fact suggests the
theory has in itself a mechanism to remove extra negative-metric states
dynamically.
| [
{
"created": "Mon, 8 May 2000 02:20:16 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Hamada",
"Ken-ji",
"",
"KEK"
]
] | In this note we give some remarks on the BRST formulation of a renormalizable and diffemorphism invariant 4D quantum gravity recently proposed by the author, which satisfies the integrability condition by Riegard, Fradkin and Tseytlin at the 2-loop level. Diffeomorphism invariance requires an addition of the Wess-Zumino action, from which the Weyl action can be induced by expanding around a vacuum expectation value of the conformal mode. This fact suggests the theory has in itself a mechanism to remove extra negative-metric states dynamically. |
1110.3342 | George Siopsis | James Alsup, George Siopsis, Jason Therrien | Hair on near-extremal Reissner-Nordstrom AdS black holes | PRD version: 15 pages, 9 figures, corrected typos, improved
discussion | null | 10.1103/PhysRevD.86.025002 | UTHET-11-0801 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss hairy black hole solutions with scalar hair of scaling dimension
$\Delta$ and (small) electromagnetic coupling $q^2$, near extremality. Using
trial functions, we show that hair forms below a critical temperature $T_c$ in
the region of parameter space $(\Delta, q^2)$ above a critical line $q_c^2
(\Delta)$. For $\Delta > \Delta_0$, the critical coupling $q_c^2$ is determined
by the AdS$_2$ geometry of the horizon. For $\Delta < \Delta_0$, $q_c^2$ is
{\em below} the value suggested by the near horizon geometry at extremality. We
provide an analytic estimate of $\Delta_0$ (numerically, $\Delta_0 \approx
0.64$). We also compute analytically the true critical line for the entire
range of the scaling dimension. In particular for $q=0$, we obtain an
instability down to the unitarity bound. We perform explicit analytic
calculations of $T_c$, the condensate and the conductivity. We show that the
energy gap in units of $T_c$ diverges as we approach the critical line ($T_c
\to 0$).
| [
{
"created": "Fri, 14 Oct 2011 21:10:52 GMT",
"version": "v1"
},
{
"created": "Thu, 3 May 2012 14:01:10 GMT",
"version": "v2"
},
{
"created": "Sun, 29 Jul 2012 13:18:07 GMT",
"version": "v3"
}
] | 2013-05-30 | [
[
"Alsup",
"James",
""
],
[
"Siopsis",
"George",
""
],
[
"Therrien",
"Jason",
""
]
] | We discuss hairy black hole solutions with scalar hair of scaling dimension $\Delta$ and (small) electromagnetic coupling $q^2$, near extremality. Using trial functions, we show that hair forms below a critical temperature $T_c$ in the region of parameter space $(\Delta, q^2)$ above a critical line $q_c^2 (\Delta)$. For $\Delta > \Delta_0$, the critical coupling $q_c^2$ is determined by the AdS$_2$ geometry of the horizon. For $\Delta < \Delta_0$, $q_c^2$ is {\em below} the value suggested by the near horizon geometry at extremality. We provide an analytic estimate of $\Delta_0$ (numerically, $\Delta_0 \approx 0.64$). We also compute analytically the true critical line for the entire range of the scaling dimension. In particular for $q=0$, we obtain an instability down to the unitarity bound. We perform explicit analytic calculations of $T_c$, the condensate and the conductivity. We show that the energy gap in units of $T_c$ diverges as we approach the critical line ($T_c \to 0$). |
1112.4854 | Martijn Wijnholt | R. Donagi and M. Wijnholt | Gluing Branes II: Flavour Physics and String Duality | V2: 61 pp, 2 figs, LaTex. Published version | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently we discussed new aspects of degenerate brane configurations, which
can appear in the context of heterotic strings, perturbative type II, or
M/F-theory. Here we continue our study of degenerate brane configurations,
focussing on two applications. First we show how the notion of gluing can be
viewed as a tool to engineer flavour structures in F-theory and type IIb, such
as models with bulk matter and with Yukawa textures arising from the
holomorphic zero mechanism. We find that there is in principle enough structure
to solve some of the major flavour problems without generating exotics. In
particular, we show how this addresses the mu-problem, doublet/triplet
splitting and proton decay. Secondly, we describe the Fourier-Mukai transform
of heterotic monad constructions, which occur in the large volume limit of
heterotic linear sigma model vacua. Degenerate structures again often appear.
One may use this to explore strong coupling phenomena using heterotic/F-theory
duality.
| [
{
"created": "Tue, 20 Dec 2011 21:10:44 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Dec 2013 22:59:18 GMT",
"version": "v2"
}
] | 2013-12-30 | [
[
"Donagi",
"R.",
""
],
[
"Wijnholt",
"M.",
""
]
] | Recently we discussed new aspects of degenerate brane configurations, which can appear in the context of heterotic strings, perturbative type II, or M/F-theory. Here we continue our study of degenerate brane configurations, focussing on two applications. First we show how the notion of gluing can be viewed as a tool to engineer flavour structures in F-theory and type IIb, such as models with bulk matter and with Yukawa textures arising from the holomorphic zero mechanism. We find that there is in principle enough structure to solve some of the major flavour problems without generating exotics. In particular, we show how this addresses the mu-problem, doublet/triplet splitting and proton decay. Secondly, we describe the Fourier-Mukai transform of heterotic monad constructions, which occur in the large volume limit of heterotic linear sigma model vacua. Degenerate structures again often appear. One may use this to explore strong coupling phenomena using heterotic/F-theory duality. |
0810.5769 | Mikhail Voloshin | A. Monin and M.B. Voloshin | Spontaneous decay of a metastable domain wall | 13 pages, 2 figures | Phys.Rev.D79:025007,2009 | 10.1103/PhysRevD.79.025007 | FTPI-MINN-08/40, UMN-TH-2722/08 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the decay of a metastable domain wall. The transition proceeds
through quantum tunneling, and we calculate in arbitrary number of dimensions
the preexponential factor multiplying the leading semiclassical exponential
expression for the rate of the process. We find that the effect of the motion
in transverse directions reduces to a renormalization of the tension of the
edge of the wall in the semiclassical exponent. This behavior is similar to the
one previously found for breaking of a metastable string. However this simple
property is generally lost for spontaneous decay of higher-dimensional branes.
| [
{
"created": "Fri, 31 Oct 2008 19:36:31 GMT",
"version": "v1"
}
] | 2009-01-21 | [
[
"Monin",
"A.",
""
],
[
"Voloshin",
"M. B.",
""
]
] | We consider the decay of a metastable domain wall. The transition proceeds through quantum tunneling, and we calculate in arbitrary number of dimensions the preexponential factor multiplying the leading semiclassical exponential expression for the rate of the process. We find that the effect of the motion in transverse directions reduces to a renormalization of the tension of the edge of the wall in the semiclassical exponent. This behavior is similar to the one previously found for breaking of a metastable string. However this simple property is generally lost for spontaneous decay of higher-dimensional branes. |
1408.4632 | Ulrich Theis | Ulrich Theis | Membrane Instantons from Toda Field Theory | 22 pages. v2: added some comments and references | null | null | ITP-UH-15/14 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Four-dimensional quaternion-Kaehler metrics with an isometry are determined
by solutions to the SU($\infty$) Toda equation. We set up a perturbation theory
to construct approximate solutions to the latter which can be interpreted as
membrane instanton corrections to the moduli space metric of the universal
hypermultiplet. We compute one such solution exactly up to the five-instanton
level, including all perturbative fluctuations about the instantons. The result
shows a pattern that allows us to determine the asymptotic behaviour of all
higher instanton corrections within this solution. We find that the generating
function for the leading terms of the latter is given by the Lambert
W-function.
| [
{
"created": "Wed, 20 Aug 2014 12:53:15 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Sep 2014 11:56:34 GMT",
"version": "v2"
}
] | 2014-09-02 | [
[
"Theis",
"Ulrich",
""
]
] | Four-dimensional quaternion-Kaehler metrics with an isometry are determined by solutions to the SU($\infty$) Toda equation. We set up a perturbation theory to construct approximate solutions to the latter which can be interpreted as membrane instanton corrections to the moduli space metric of the universal hypermultiplet. We compute one such solution exactly up to the five-instanton level, including all perturbative fluctuations about the instantons. The result shows a pattern that allows us to determine the asymptotic behaviour of all higher instanton corrections within this solution. We find that the generating function for the leading terms of the latter is given by the Lambert W-function. |
1812.07684 | Rodolfo Jos\'e Bueno Rogerio | C. H. Coronado Villalobos, R. J. Bueno Rogerio and E. F. T. S\~ao
Sabbas | Type-4 spinors: transmuting from Elko to single-helicity spinors | 9 pages, 0 figures | Eur. Phys. J. C (2019) 79:308 | 10.1140/epjc/s10052-019-6832-2 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this communication we briefly report an unexpected theoretical discovery
which emerge from the mapping of Elko mass-dimension-one spinors into single
helicity spinors. Such procedure unveils a class of spinor which is classified
as type-4 spinor field within Lounesto classification. In this paper we explore
the underlying physical and mathematical contents of the type-4 spinor.
| [
{
"created": "Tue, 18 Dec 2018 23:04:57 GMT",
"version": "v1"
},
{
"created": "Sat, 9 Feb 2019 15:50:15 GMT",
"version": "v2"
},
{
"created": "Sun, 3 Mar 2019 17:52:53 GMT",
"version": "v3"
}
] | 2019-04-09 | [
[
"Villalobos",
"C. H. Coronado",
""
],
[
"Rogerio",
"R. J. Bueno",
""
],
[
"Sabbas",
"E. F. T. São",
""
]
] | In this communication we briefly report an unexpected theoretical discovery which emerge from the mapping of Elko mass-dimension-one spinors into single helicity spinors. Such procedure unveils a class of spinor which is classified as type-4 spinor field within Lounesto classification. In this paper we explore the underlying physical and mathematical contents of the type-4 spinor. |
2006.10625 | Jan Boruch | Jan Boruch | Entanglement wedge cross-section in shock wave geometries | 19 pages, 4 figures; v2 typos fixed, references added | null | 10.1007/JHEP07(2020)208 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider reflected entropy in a thermofield double state perturbed by a
heavy operator insertion. For sufficiently early operator insertions the dual
geometry can be described by a localized shock wave geometry. We calculate the
entanglement wedge cross-section in this geometry for symmetric intervals and
find that it matches precisely with the CFT result for sufficiently late times.
Our result exhibits a plateau before going to zero, a behaviour similar to the
one observed recently in the context of global quantum quenches. We find that
at high temperatures this behaviour is properly captured by the line-tension
picture.
| [
{
"created": "Thu, 18 Jun 2020 15:48:41 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Jun 2020 16:26:13 GMT",
"version": "v2"
}
] | 2020-08-11 | [
[
"Boruch",
"Jan",
""
]
] | We consider reflected entropy in a thermofield double state perturbed by a heavy operator insertion. For sufficiently early operator insertions the dual geometry can be described by a localized shock wave geometry. We calculate the entanglement wedge cross-section in this geometry for symmetric intervals and find that it matches precisely with the CFT result for sufficiently late times. Our result exhibits a plateau before going to zero, a behaviour similar to the one observed recently in the context of global quantum quenches. We find that at high temperatures this behaviour is properly captured by the line-tension picture. |
1904.13235 | Jing-Bo Wang | Jingbo Wang | Central charges for Kerr and Kerr-AdS black holes in diverse dimensions | 6 pages, comments are welcomed;v2, make connection with the
thermodynamic potential;v3, bring the interacting scalar field theory which
has a special form of Hamiltonian; | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the previous work we give a microscopic explanation of the entropy for the
BTZ black hole and four-dimensional Kerr black hole based on the massless
scalar field theory on the horizon. An essential input is the central charges
of those black holes. In this paper, we calculate the central charges for Kerr
black holes and Kerr-AdS black holes in diverse dimensions by rewriting the
entropy formula in a suggesting way. Then we also give the statistical
explanation for the entropy of those black holes based on the scalar field on
the horizon which similar to 4D kerr black hole.
| [
{
"created": "Mon, 29 Apr 2019 02:53:41 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Nov 2019 08:59:56 GMT",
"version": "v2"
},
{
"created": "Thu, 2 Jan 2020 06:57:30 GMT",
"version": "v3"
}
] | 2020-01-03 | [
[
"Wang",
"Jingbo",
""
]
] | In the previous work we give a microscopic explanation of the entropy for the BTZ black hole and four-dimensional Kerr black hole based on the massless scalar field theory on the horizon. An essential input is the central charges of those black holes. In this paper, we calculate the central charges for Kerr black holes and Kerr-AdS black holes in diverse dimensions by rewriting the entropy formula in a suggesting way. Then we also give the statistical explanation for the entropy of those black holes based on the scalar field on the horizon which similar to 4D kerr black hole. |
2103.05013 | Matthew Yu | Jaume Gomis, Ziqi Yan, Matthew Yu | KLT Factorization of Winding String Amplitudes | 41 pages, 8 figures | null | 10.1007/JHEP06(2021)057 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We uncover a Kawai-Lewellen-Tye (KLT)-type factorization of closed string
amplitudes into open string amplitudes for closed string states carrying
winding and momentum in toroidal compactifications. The winding and momentum
closed string quantum numbers map respectively to the integer and fractional
winding quantum numbers of open strings ending on a D-brane array localized in
the compactified directions. The closed string amplitudes factorize into
products of open string scattering amplitudes with the open strings ending on a
D-brane configuration determined by closed string data.
| [
{
"created": "Mon, 8 Mar 2021 19:00:04 GMT",
"version": "v1"
},
{
"created": "Sun, 25 Jul 2021 19:42:21 GMT",
"version": "v2"
}
] | 2021-08-06 | [
[
"Gomis",
"Jaume",
""
],
[
"Yan",
"Ziqi",
""
],
[
"Yu",
"Matthew",
""
]
] | We uncover a Kawai-Lewellen-Tye (KLT)-type factorization of closed string amplitudes into open string amplitudes for closed string states carrying winding and momentum in toroidal compactifications. The winding and momentum closed string quantum numbers map respectively to the integer and fractional winding quantum numbers of open strings ending on a D-brane array localized in the compactified directions. The closed string amplitudes factorize into products of open string scattering amplitudes with the open strings ending on a D-brane configuration determined by closed string data. |
hep-th/9310125 | null | Alexander Turbiner | Hidden algebra of the $N$-body Calogero problem | 10pp., CWRU-Math, October 1993 | Phys.Lett. B320 (1994) 281-286 | 10.1016/0370-2693(94)90657-2 | null | hep-th funct-an math.FA | null | A certain generalization of the algebra $gl(N,{\bf R})$ of first-order
differential operators acting on a space of inhomogeneous polynomials in ${\bf
R}^{N-1}$ is constructed. The generators of this (non)Lie algebra depend on
permutation operators. It is shown that the Hamiltonian of the $N$-body
Calogero model can be represented as a second-order polynomial in the
generators of this algebra. Given representation implies that the Calogero
Hamiltonian possesses infinitely-many, finite-dimensional invariant subspaces
with explicit bases, which are closely related to the finite-dimensional
representations of above algebra. This representation is an alternative to the
standard representation of the Bargmann-Fock type in terms of creation and
annihilation operators.
| [
{
"created": "Tue, 19 Oct 1993 22:50:46 GMT",
"version": "v1"
},
{
"created": "Sun, 24 Oct 1993 00:17:05 GMT",
"version": "v2"
}
] | 2009-10-22 | [
[
"Turbiner",
"Alexander",
""
]
] | A certain generalization of the algebra $gl(N,{\bf R})$ of first-order differential operators acting on a space of inhomogeneous polynomials in ${\bf R}^{N-1}$ is constructed. The generators of this (non)Lie algebra depend on permutation operators. It is shown that the Hamiltonian of the $N$-body Calogero model can be represented as a second-order polynomial in the generators of this algebra. Given representation implies that the Calogero Hamiltonian possesses infinitely-many, finite-dimensional invariant subspaces with explicit bases, which are closely related to the finite-dimensional representations of above algebra. This representation is an alternative to the standard representation of the Bargmann-Fock type in terms of creation and annihilation operators. |
1503.01450 | Kenta Murase | Kenta Murase | Anomaly of Tensionless String in Light-cone Gauge | 44 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The classical tensionless string theory has the spacetime conformal symmetry.
We expect and require that the quantum tensionless string theory has it too. In
the BRST quantization method, the theory has no spacetime conformal anomaly in
two dimensions. On the other hand, in the light-cone gauge quantization without
the mode expansion, the theory in $D>3$ has the spacetime conformal anomaly in
the traceless part of $[\mathcal{J}^{-I}, \mathcal{K}^{J}]$ in some operator
order.
In this paper, we consider a tensionless closed bosonic string in the
light-cone gauge and investigate the spacetime conformal anomaly in the theory
with the mode expansion. The appearance of the spacetime conformal anomaly in
the light-cone gauge is different between the case of $D>3$ and the case of
$D=3$ and depends on the choice of the operator order. Therefore we must
consider dangerous commutators in the spacetime conformal symmetry of $D>3$ and
$D=3$ in each operator order separately. Specifically we calculate dangerous
commutators, $[\mathcal{J}^{-I},\mathcal{K}^{K}]$ in $D>3$ and
$\tilde{\mathcal{K}}^{-}\equiv -i[\mathcal{J}^{-}, \tilde{\mathcal{K}}^{-}]$
and $[\mathcal{J}^{-}, \tilde{\mathcal{K}}^{-}]$ in $D=3$, in two types of the
operator order.
| [
{
"created": "Wed, 4 Mar 2015 20:40:59 GMT",
"version": "v1"
}
] | 2015-03-05 | [
[
"Murase",
"Kenta",
""
]
] | The classical tensionless string theory has the spacetime conformal symmetry. We expect and require that the quantum tensionless string theory has it too. In the BRST quantization method, the theory has no spacetime conformal anomaly in two dimensions. On the other hand, in the light-cone gauge quantization without the mode expansion, the theory in $D>3$ has the spacetime conformal anomaly in the traceless part of $[\mathcal{J}^{-I}, \mathcal{K}^{J}]$ in some operator order. In this paper, we consider a tensionless closed bosonic string in the light-cone gauge and investigate the spacetime conformal anomaly in the theory with the mode expansion. The appearance of the spacetime conformal anomaly in the light-cone gauge is different between the case of $D>3$ and the case of $D=3$ and depends on the choice of the operator order. Therefore we must consider dangerous commutators in the spacetime conformal symmetry of $D>3$ and $D=3$ in each operator order separately. Specifically we calculate dangerous commutators, $[\mathcal{J}^{-I},\mathcal{K}^{K}]$ in $D>3$ and $\tilde{\mathcal{K}}^{-}\equiv -i[\mathcal{J}^{-}, \tilde{\mathcal{K}}^{-}]$ and $[\mathcal{J}^{-}, \tilde{\mathcal{K}}^{-}]$ in $D=3$, in two types of the operator order. |
hep-th/9610224 | null | I. P. Ennes, A. V. Ramallo and J. M. Sanchez de Santos | Structure constants for the osp(1|2) current algebra | 64 pages, phyzzx, no figures | Nucl.Phys. B491 (1997) 574-618 | 10.1016/S0550-3213(97)00052-7 | ; US-FT-40/96 | hep-th | null | We study the free field realization of the two-dimensional osp(1|2) current
algebra. We consider the case in which the level of the affine osp(1|2)
symmetry is a positive integer. Using the Coulomb gas technique we obtain
integral representations for the conformal blocks of the model. In particular,
from the behaviour of the four-point function, we extract the structure
constants for the product of two arbitrary primary operators of the theory.
From this result we derive the fusion rules of the osp(1|2) conformal field
theory and we explore the connections between the osp(1|2) affine symmetry and
the N=1 superconformal field theories.
| [
{
"created": "Mon, 28 Oct 1996 06:33:24 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Ennes",
"I. P.",
""
],
[
"Ramallo",
"A. V.",
""
],
[
"de Santos",
"J. M. Sanchez",
""
]
] | We study the free field realization of the two-dimensional osp(1|2) current algebra. We consider the case in which the level of the affine osp(1|2) symmetry is a positive integer. Using the Coulomb gas technique we obtain integral representations for the conformal blocks of the model. In particular, from the behaviour of the four-point function, we extract the structure constants for the product of two arbitrary primary operators of the theory. From this result we derive the fusion rules of the osp(1|2) conformal field theory and we explore the connections between the osp(1|2) affine symmetry and the N=1 superconformal field theories. |
1407.5608 | Abdollah Refaei | A. Refaei | On the effective action of the vacuum photon splitting in Lorentz
violating QED through Krein space | null | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The finding of an explicit effective action describing amplitude of photon
triple splitting is investigated through Krein space quantization and quantum
metric fluctuation. Using the derivative expansion method, the one-loop
radiative corrections from Lorentz- and CPT- violating extended Krein QED shows
that it is not possible to find a nonzero effective action.
| [
{
"created": "Mon, 21 Jul 2014 19:39:13 GMT",
"version": "v1"
}
] | 2014-07-22 | [
[
"Refaei",
"A.",
""
]
] | The finding of an explicit effective action describing amplitude of photon triple splitting is investigated through Krein space quantization and quantum metric fluctuation. Using the derivative expansion method, the one-loop radiative corrections from Lorentz- and CPT- violating extended Krein QED shows that it is not possible to find a nonzero effective action. |
1906.09083 | Victor Godet | Alejandra Castro and Victor Godet | Breaking away from the near horizon of extreme Kerr | v2: typo fixed and reference added; v3: expanded appendix with
on-shell action | SciPost Phys. 8, 089 (2020) | 10.21468/SciPostPhys.8.6.089 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study gravitational perturbations around the near horizon geometry of the
(near) extreme Kerr black hole. By considering a consistent truncation for the
metric fluctuations, we obtain a solution to the linearized Einstein equations.
The dynamics is governed by two master fields which, in the context of the
nAdS$_2$/nCFT$_1$ correspondence, are both irrelevant operators of conformal
dimension $\Delta=2$. These fields control the departure from extremality by
breaking the conformal symmetry of the near horizon region. One of the master
fields is tied to large diffeomorphisms of the near horizon, with its equations
of motion compatible with a Schwarzian effective action. The other field is
essential for a consistent description of the geometry away from the horizon.
| [
{
"created": "Fri, 21 Jun 2019 11:48:16 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Sep 2019 17:41:15 GMT",
"version": "v2"
},
{
"created": "Thu, 5 Dec 2019 18:12:59 GMT",
"version": "v3"
}
] | 2020-06-17 | [
[
"Castro",
"Alejandra",
""
],
[
"Godet",
"Victor",
""
]
] | We study gravitational perturbations around the near horizon geometry of the (near) extreme Kerr black hole. By considering a consistent truncation for the metric fluctuations, we obtain a solution to the linearized Einstein equations. The dynamics is governed by two master fields which, in the context of the nAdS$_2$/nCFT$_1$ correspondence, are both irrelevant operators of conformal dimension $\Delta=2$. These fields control the departure from extremality by breaking the conformal symmetry of the near horizon region. One of the master fields is tied to large diffeomorphisms of the near horizon, with its equations of motion compatible with a Schwarzian effective action. The other field is essential for a consistent description of the geometry away from the horizon. |
hep-th/0102052 | Kuratov | I.V.Kostyakov, N.A.Gromov, V.V.Kuratov | Graded contractions of Virasoro algebras | 10 pages, Latex. Report given at XXIII Int. Colloquium on Group
Theoretical Methods in Physics, July 31 - August 05, 2000, Dubna (Russia) | null | null | null | hep-th | null | We describe graded contractions of Virasoro algebra. The highest weight
representations of Virasoro algebra are constructed. The reducibility of
representations is analysed. In contrast to standart representations the
contracted ones are reducible except some special cases. Moreover we find an
exotic module with null-plane on fifth level.
| [
{
"created": "Fri, 9 Feb 2001 13:48:48 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Kostyakov",
"I. V.",
""
],
[
"Gromov",
"N. A.",
""
],
[
"Kuratov",
"V. V.",
""
]
] | We describe graded contractions of Virasoro algebra. The highest weight representations of Virasoro algebra are constructed. The reducibility of representations is analysed. In contrast to standart representations the contracted ones are reducible except some special cases. Moreover we find an exotic module with null-plane on fifth level. |
1206.6510 | Hong Lu | H. Lu and C. N. Pope | Gyrating Schrodinger Geometries and Non-Relativistic Field Theories | 9 pages | null | 10.1103/PhysRevD.86.061501 | MIFPA 12-24 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose homogeneous metrics of Petrov type III that describe gyrating
Schrodinger geometries as duals to some non-relativistic field theories, in
which the Schrodinger symmetry is broken further so that the phase space has a
linear dependence of the momentum in a selected direction. We show that such
solutions can arise in four-dimensional Einstein-Weyl supergravity as well as
higher-dimensional extended gravities with quadratic curvature terms coupled to
a massive vector. In Einstein-Weyl supergravity, the gyrating Schrodinger
solutions can be supersymmetric, preserving 1/4 of the supersymmetry. We obtain
the exact Green function in the phase space associated with a bulk free massive
scalar.
| [
{
"created": "Wed, 27 Jun 2012 20:06:26 GMT",
"version": "v1"
}
] | 2013-05-30 | [
[
"Lu",
"H.",
""
],
[
"Pope",
"C. N.",
""
]
] | We propose homogeneous metrics of Petrov type III that describe gyrating Schrodinger geometries as duals to some non-relativistic field theories, in which the Schrodinger symmetry is broken further so that the phase space has a linear dependence of the momentum in a selected direction. We show that such solutions can arise in four-dimensional Einstein-Weyl supergravity as well as higher-dimensional extended gravities with quadratic curvature terms coupled to a massive vector. In Einstein-Weyl supergravity, the gyrating Schrodinger solutions can be supersymmetric, preserving 1/4 of the supersymmetry. We obtain the exact Green function in the phase space associated with a bulk free massive scalar. |
2407.13956 | Makoto Natsuume | Makoto Natsuume | What is the dual Ginzburg-Landau theory for holographic superconductors? | 43 pages, JHEP | null | null | KEK-TH-2608 | hep-th cond-mat.str-el cond-mat.supr-con gr-qc | http://creativecommons.org/licenses/by/4.0/ | Holographic superconductors are holographic duals of superconductors.
Macroscopically, a superconductor should be described by the Ginzburg-Landau
(GL) theory. There is ample evidence that the holographic superconductors are
described by the standard GL theory, but the exact form of the dual GL theory
is little known. We identify the dual GL theory for a class of bulk
5-dimensional holographic superconductors, where numerical coefficients are
obtained analytically.
| [
{
"created": "Fri, 19 Jul 2024 00:28:33 GMT",
"version": "v1"
}
] | 2024-07-22 | [
[
"Natsuume",
"Makoto",
""
]
] | Holographic superconductors are holographic duals of superconductors. Macroscopically, a superconductor should be described by the Ginzburg-Landau (GL) theory. There is ample evidence that the holographic superconductors are described by the standard GL theory, but the exact form of the dual GL theory is little known. We identify the dual GL theory for a class of bulk 5-dimensional holographic superconductors, where numerical coefficients are obtained analytically. |
hep-th/0105125 | J. A. de Azcarraga | J.A. de Azc\'arraga and J.M. Izquierdo | Superalgebra cohomology, the geometry of extended superspaces and
superbranes | 12 pages, LATEX. Invited lecture delivered at the XXXVII Karpacz
Winter School on "New Developments in Fundamental Interaction Theories" (6-15
February, 2001, Karpacz, Poland). To be published in the Proceedings | null | 10.1063/1.1419311 | FTUV--01-0505 \quad IFIC--01-24 | hep-th | null | We present here a cohomological analysis of the new spacetime superalgebras
that arise in the context of superbrane theory. They lead to enlarged
superspaces that allow us to write D-brane actions in terms of fields
associated with the additional superspace variables. This suggests that there
is an extended superspace/worldvolume fields democracy for superbranes.
| [
{
"created": "Mon, 14 May 2001 09:58:23 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"de Azcárraga",
"J. A.",
""
],
[
"Izquierdo",
"J. M.",
""
]
] | We present here a cohomological analysis of the new spacetime superalgebras that arise in the context of superbrane theory. They lead to enlarged superspaces that allow us to write D-brane actions in terms of fields associated with the additional superspace variables. This suggests that there is an extended superspace/worldvolume fields democracy for superbranes. |
hep-th/9607076 | Shinya Wada | Hideaki Aoyama, Toshiyuki Harano, Masatoshi Sato, Shinya Wada | Multi-instanton calculus in N=2 supersymmetric QCD | 11 pages, LaTeX, The result for $N_f=4$ flavors is added, which does
not agree with Seiberg-Witten's result, but does agree with the result of
hep-th/9607202 | Phys.Lett. B388 (1996) 331-337 | 10.1016/S0370-2693(96)01258-0 | KUCP-0100, KUNS-1402 HE(TH)96/05 | hep-th | null | Microscopic tests of the exact results are performed in N=2 SU(2)
supersymmetric QCD. We construct the multi-instanton solution in N=2
supersymmetric QCD and calculate the two-instanton contribution ${\cal F}_2$ to
the prepotential ${\cal F}$ explicitly. For $N_f=1,2$, instanton calculus
agrees with the prediction of the exact results, however, for $N_f=3$, we find
a discrepancy between them.
| [
{
"created": "Wed, 10 Jul 1996 04:25:40 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Aug 1996 06:30:26 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Aoyama",
"Hideaki",
""
],
[
"Harano",
"Toshiyuki",
""
],
[
"Sato",
"Masatoshi",
""
],
[
"Wada",
"Shinya",
""
]
] | Microscopic tests of the exact results are performed in N=2 SU(2) supersymmetric QCD. We construct the multi-instanton solution in N=2 supersymmetric QCD and calculate the two-instanton contribution ${\cal F}_2$ to the prepotential ${\cal F}$ explicitly. For $N_f=1,2$, instanton calculus agrees with the prediction of the exact results, however, for $N_f=3$, we find a discrepancy between them. |
1009.4637 | Herintsitohaina Ratsimbarison | Herintsitohaina M. Ratsimbarison | Quark scalar current correlator in AdS/QCD approach | Talk presented at QCD 10, the 25-th anniversary of QCD Montpellier
conference series, to appear in the Proceedings | Nucl.Phys.Proc.Suppl.207-208:240-242,2010 | 10.1016/j.nuclphysbps.2010.10.062 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use a holographic model to compute the quark scalar current correlator.
Already used in other contexts, our model consists in a bulk field theory
defined on a deformed Anti de Sitter space and allows to derive analogous
results to those of the soft wall model. One issue of such computations is to
understand relevant holographic physical constraints which give predictive QCD
results rather than to make the inverse step as done until now.
| [
{
"created": "Thu, 23 Sep 2010 15:30:44 GMT",
"version": "v1"
}
] | 2011-02-15 | [
[
"Ratsimbarison",
"Herintsitohaina M.",
""
]
] | We use a holographic model to compute the quark scalar current correlator. Already used in other contexts, our model consists in a bulk field theory defined on a deformed Anti de Sitter space and allows to derive analogous results to those of the soft wall model. One issue of such computations is to understand relevant holographic physical constraints which give predictive QCD results rather than to make the inverse step as done until now. |
hep-th/9806081 | Jan C. Plefka | Jan C. Plefka, Marco Serone and Andrew K. Waldron | The Matrix Theory S-Matrix | 10 pages, RevTeX, no figures | Phys.Rev.Lett. 81 (1998) 2866-2869 | 10.1103/PhysRevLett.81.2866 | NIKHEF 98-016, UvA-WINS-Wisk-98-06 | hep-th | null | The technology required for eikonal scattering amplitude calculations in
Matrix theory is developed. Using the entire supersymmetric completion of the
v^4/r^7 Matrix theory potential we compute the graviton-graviton scattering
amplitude and find agreement with eleven dimensional supergravity at tree
level.
| [
{
"created": "Wed, 10 Jun 1998 22:47:13 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Plefka",
"Jan C.",
""
],
[
"Serone",
"Marco",
""
],
[
"Waldron",
"Andrew K.",
""
]
] | The technology required for eikonal scattering amplitude calculations in Matrix theory is developed. Using the entire supersymmetric completion of the v^4/r^7 Matrix theory potential we compute the graviton-graviton scattering amplitude and find agreement with eleven dimensional supergravity at tree level. |
1108.0400 | Gaston Giribet | Gaston Giribet, Andr\'es Goya, Mauricio Leston | Boundary stress tensor and asymptotically AdS3 non-Einstein spaces at
the chiral point | 8 pages. v2 minor typos corrected | Phys. Rev. D84 (2011) 066003 | 10.1103/PhysRevD.84.066003 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Chiral gravity admits asymptotically AdS3 solutions that are not locally
equivalent to AdS3; meaning that solutions do exist which, while obeying the
strong boundary conditions usually imposed in General Relativity, happen not to
be Einstein spaces. In Topologically Massive Gravity (TMG), the existence of
non-Einstein solutions is particularly connected to the question about the role
played by complex saddle points in the Euclidean path integral. Consequently,
studying (the existence of) non-locally AdS3 solutions to chiral gravity is
relevant to understand the quantum theory. Here, we discuss a special family of
non-locally AdS3 solutions to chiral gravity. In particular, we show that such
solutions persist when one deforms the theory by adding the higher-curvature
terms of the so-called New Massive Gravity (NMG). Moreover, the addition of
higher-curvature terms to the gravity action introduces new non-locally AdS3
solutions that have no analogues in TMG. Both stationary and time-dependent,
axially symmetric solutions that asymptote AdS3 space without being locally
equivalent to it appear. Defining the boundary stress-tensor for the full
theory, we show that these non-Einstein geometries have associated vanishing
conserved charges.
| [
{
"created": "Mon, 1 Aug 2011 19:31:52 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Aug 2011 22:09:36 GMT",
"version": "v2"
}
] | 2013-05-29 | [
[
"Giribet",
"Gaston",
""
],
[
"Goya",
"Andrés",
""
],
[
"Leston",
"Mauricio",
""
]
] | Chiral gravity admits asymptotically AdS3 solutions that are not locally equivalent to AdS3; meaning that solutions do exist which, while obeying the strong boundary conditions usually imposed in General Relativity, happen not to be Einstein spaces. In Topologically Massive Gravity (TMG), the existence of non-Einstein solutions is particularly connected to the question about the role played by complex saddle points in the Euclidean path integral. Consequently, studying (the existence of) non-locally AdS3 solutions to chiral gravity is relevant to understand the quantum theory. Here, we discuss a special family of non-locally AdS3 solutions to chiral gravity. In particular, we show that such solutions persist when one deforms the theory by adding the higher-curvature terms of the so-called New Massive Gravity (NMG). Moreover, the addition of higher-curvature terms to the gravity action introduces new non-locally AdS3 solutions that have no analogues in TMG. Both stationary and time-dependent, axially symmetric solutions that asymptote AdS3 space without being locally equivalent to it appear. Defining the boundary stress-tensor for the full theory, we show that these non-Einstein geometries have associated vanishing conserved charges. |
hep-th/9512207 | Rue-Ron Hsu | Rue-Ron Hsu, Bokai Yang (National Cheng-Kung Univ.,Taiwan) and
Chin-Rong Lee (National Chung Cheng Univ.,Taiwan) | The Post-Newtonian Limit of Dilaton Gravity | 22 pages, use Latex | Chin.J.Phys. 34 (1996) 1285-1297 | null | NCKU-HEP/95-08 | hep-th gr-qc | null | We study the post-Newtonian limit of a generalized dilaton gravity in which
gravity is coupled to dilaton and eletromagnetic fields. The field equations
are derived using the post-Newtonian scheme, and the approximate solution is
presented for a point mass with electric and dilaton charges. The result
indicates that the dilaton effect can be detected, in post-Newtonian level,
using a charged test particle but not a neutral one. We have also checked that
the approximate solution is indeed consistent with the weak field expansion of
charged dilaton black hole solution in the harmonic coordinate.
| [
{
"created": "Thu, 28 Dec 1995 17:29:20 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Hsu",
"Rue-Ron",
"",
"National Cheng-Kung Univ.,Taiwan"
],
[
"Yang",
"Bokai",
"",
"National Cheng-Kung Univ.,Taiwan"
],
[
"Lee",
"Chin-Rong",
"",
"National Chung Cheng Univ.,Taiwan"
]
] | We study the post-Newtonian limit of a generalized dilaton gravity in which gravity is coupled to dilaton and eletromagnetic fields. The field equations are derived using the post-Newtonian scheme, and the approximate solution is presented for a point mass with electric and dilaton charges. The result indicates that the dilaton effect can be detected, in post-Newtonian level, using a charged test particle but not a neutral one. We have also checked that the approximate solution is indeed consistent with the weak field expansion of charged dilaton black hole solution in the harmonic coordinate. |
hep-th/9902160 | Oren Bergman | Oren Bergman, Eric G. Gimon, Petr Horava | Brane Transfer Operations and T-Duality of Non-BPS States | 28 pages harvmac, 4 figures; Expanded argument for relative K-theory
in subsection 2.2, and added explicit K-theory groups of a point in eq.(A.3)
of the appendix | JHEP 9904 (1999) 010 | 10.1088/1126-6708/1999/04/010 | CALT-68-2215 | hep-th | null | Using the relation between D-brane charges and K-theory, we study non-BPS
D-branes and their behavior under T-duality. We point out that in general
compactifications, D-brane charges are classified by relative K-theory groups.
T-duality is found to act as a symmetry between the relative K-theory groups in
Type II and Type I/IA theories. We also study Type \tilde\IA theory (which
contains an O8^- plane and an O8^+ plane), using K-theory and T-duality to
identify its stable D-branes. Comparison with string theory constructions
reveals two interesting effects. One of them involves the transfer of branes
between O-planes, while in the other, a D-brane charge which seems conserved
near one O-plane in fact decays due to the presence of another type of O-plane.
| [
{
"created": "Wed, 24 Feb 1999 00:53:25 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Apr 1999 17:57:25 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Bergman",
"Oren",
""
],
[
"Gimon",
"Eric G.",
""
],
[
"Horava",
"Petr",
""
]
] | Using the relation between D-brane charges and K-theory, we study non-BPS D-branes and their behavior under T-duality. We point out that in general compactifications, D-brane charges are classified by relative K-theory groups. T-duality is found to act as a symmetry between the relative K-theory groups in Type II and Type I/IA theories. We also study Type \tilde\IA theory (which contains an O8^- plane and an O8^+ plane), using K-theory and T-duality to identify its stable D-branes. Comparison with string theory constructions reveals two interesting effects. One of them involves the transfer of branes between O-planes, while in the other, a D-brane charge which seems conserved near one O-plane in fact decays due to the presence of another type of O-plane. |
0809.1005 | Yolanda Lozano | Norberto Gutierrez, Yolanda Lozano | Confinement and Non-perturbative Tachyons in Brane-Antibrane Systems | 19 pages, comments and references added | Phys.Rev.D79:046010,2009 | 10.1103/PhysRevD.79.046010 | FFUOV-08/10, CERN-TH-PH-2008-185 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a worldvolume effective action suitable for the study of the
confined phase of a Dp-anti-Dp system at weak coupling. We identify the
mechanism by which the fundamental string arises from this action as a confined
electric flux string when the Dp and the anti-Dp annihilate. We construct an
explicit dual action, more suitable for the study of the strong coupling
regime, and show that it realizes a generalized Higgs-Stueckelberg phase for
the (relative) (p-2)-form field dual to the (overall) BI vector. This is the
mechanism put forward by Yi and collaborators based on duality arguments in
order to explain the breaking of the overall U(1) gauge group at strong
coupling. Indeed, in our dual description the Goldstone boson is a (p-3)-form
magnetically charged with respect to the overall BI vector field. This
indicates that the condensing tachyonic objects originate from open
D(p-2)-branes stretched between the brane and the anti-brane. Our results
provide an explicit realization of the breaking of the overall U(1) gauge group
perturbatively, in a way consistent with the duality symmetries of String
Theory.
| [
{
"created": "Fri, 5 Sep 2008 11:11:11 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Oct 2008 09:14:11 GMT",
"version": "v2"
}
] | 2009-03-12 | [
[
"Gutierrez",
"Norberto",
""
],
[
"Lozano",
"Yolanda",
""
]
] | We present a worldvolume effective action suitable for the study of the confined phase of a Dp-anti-Dp system at weak coupling. We identify the mechanism by which the fundamental string arises from this action as a confined electric flux string when the Dp and the anti-Dp annihilate. We construct an explicit dual action, more suitable for the study of the strong coupling regime, and show that it realizes a generalized Higgs-Stueckelberg phase for the (relative) (p-2)-form field dual to the (overall) BI vector. This is the mechanism put forward by Yi and collaborators based on duality arguments in order to explain the breaking of the overall U(1) gauge group at strong coupling. Indeed, in our dual description the Goldstone boson is a (p-3)-form magnetically charged with respect to the overall BI vector field. This indicates that the condensing tachyonic objects originate from open D(p-2)-branes stretched between the brane and the anti-brane. Our results provide an explicit realization of the breaking of the overall U(1) gauge group perturbatively, in a way consistent with the duality symmetries of String Theory. |
hep-th/0108058 | Bodo Geyer | B. Geyer and D. M"ulsch | Twisted N=8, D=2 super Yang-Mills theory as example of a Hodge-type
cohomological theory | 8 pages, Latex | Phys.Lett.B518:181-187,2001 | 10.1016/S0370-2693(01)01043-7 | NTZ 13/2001 | hep-th | null | It is shown that the dimensional reduction of the N_T=2, D=3 Blau-Thompson
model to D=2, i.e., the novel topological twist of N=8, D=2 super Yang-Mills
theory, provides an example of a Hodge-type cohomological theory. In that
theory the generators of the topological shift, co-shift and gauge symmetry,
together with a discrete duality operation, are completely analogous to the de
Rham cohomology operators and the Hodge *-operation.
| [
{
"created": "Thu, 9 Aug 2001 11:25:53 GMT",
"version": "v1"
}
] | 2011-07-19 | [
[
"Geyer",
"B.",
""
],
[
"M\"ulsch",
"D.",
""
]
] | It is shown that the dimensional reduction of the N_T=2, D=3 Blau-Thompson model to D=2, i.e., the novel topological twist of N=8, D=2 super Yang-Mills theory, provides an example of a Hodge-type cohomological theory. In that theory the generators of the topological shift, co-shift and gauge symmetry, together with a discrete duality operation, are completely analogous to the de Rham cohomology operators and the Hodge *-operation. |
1210.7934 | Konstantin Klimenko | K.G. Klimenko, R.N. Zhokhov and V.Ch. Zhukovsky | Superconducting phase transitions induced by chemical potential in
(2+1)-dimensional four-fermion quantum field theory | 15 pages, 14 figures; accepted for publication in PRD | null | 10.1103/PhysRevD.86.105010 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the paper a generalization of the (1+1)-dimensional model by Chodos et al
[Phys. Rev. D61, 045011 (2000)] has been performed to the case of
(2+1)-dimensional spacetime. The model includes four-fermion interaction both
in the fermion-antifermion (or chiral) and fermion-fermion (or superconducting)
channels. We study temperature $T$ and chemical potential $\mu$ induced phase
transitions in the leading order of large-$N$ expansion technique, where $N$ is
a number of fermion fields. It is shown that at sufficiently large values of
$\mu$ and arbitrary relations between coupling constants, superconducting phase
appears in the system both at T=0 and $T>0$. In particular, at T=0 and
sufficiently weak attractive interaction in the chiral channel, the Cooper
pairing occurs for arbitrary couplings in the superconducting channel even at
infinitesimal values of $\mu$.
| [
{
"created": "Tue, 30 Oct 2012 09:03:45 GMT",
"version": "v1"
}
] | 2015-06-11 | [
[
"Klimenko",
"K. G.",
""
],
[
"Zhokhov",
"R. N.",
""
],
[
"Zhukovsky",
"V. Ch.",
""
]
] | In the paper a generalization of the (1+1)-dimensional model by Chodos et al [Phys. Rev. D61, 045011 (2000)] has been performed to the case of (2+1)-dimensional spacetime. The model includes four-fermion interaction both in the fermion-antifermion (or chiral) and fermion-fermion (or superconducting) channels. We study temperature $T$ and chemical potential $\mu$ induced phase transitions in the leading order of large-$N$ expansion technique, where $N$ is a number of fermion fields. It is shown that at sufficiently large values of $\mu$ and arbitrary relations between coupling constants, superconducting phase appears in the system both at T=0 and $T>0$. In particular, at T=0 and sufficiently weak attractive interaction in the chiral channel, the Cooper pairing occurs for arbitrary couplings in the superconducting channel even at infinitesimal values of $\mu$. |
1912.11748 | Yu Nakayama | Yu Nakayama | Exclusion Inside or at the Border of Conformal Bootstrap Continent | 15 pages, 5 figures, v2: reference added | null | 10.1142/S0217751X20500360 | RUP-19-31 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | How large can anomalous dimensions be in conformal field theories? What can
we do to attain larger values? One attempt to obtain large anomalous dimensions
efficiently is to use the Pauli exclusion principle. Certain operators
constructed out of constituent fermions cannot form bound states without
introducing non-trivial excitations. To assess the efficiency of this
mechanism, we compare them with the numerical conformal bootstrap bound as well
as with other interacting field theory examples. In two dimensions, it turns
out to be the most efficient: it saturates the bound and is located at the
(second) kink. In higher dimensions, it more or less saturates the bound but it
may be slightly inside.
| [
{
"created": "Thu, 26 Dec 2019 02:03:28 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Feb 2020 06:50:13 GMT",
"version": "v2"
}
] | 2020-04-22 | [
[
"Nakayama",
"Yu",
""
]
] | How large can anomalous dimensions be in conformal field theories? What can we do to attain larger values? One attempt to obtain large anomalous dimensions efficiently is to use the Pauli exclusion principle. Certain operators constructed out of constituent fermions cannot form bound states without introducing non-trivial excitations. To assess the efficiency of this mechanism, we compare them with the numerical conformal bootstrap bound as well as with other interacting field theory examples. In two dimensions, it turns out to be the most efficient: it saturates the bound and is located at the (second) kink. In higher dimensions, it more or less saturates the bound but it may be slightly inside. |
1608.01436 | Shin Sasaki | Shin Sasaki, Masaya Yata | Non-geometric Five-branes in Heterotic Supergravity | 26 pages, 1 figure, minor text improvements | JHEP11 (2016) 064 | 10.1007/JHEP11(2016)064 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study T-duality chains of five-branes in heterotic supergravity where the
first order $\alpha'$-corrections are present. By performing the
$\alpha'$-corrected T-duality transformations of the heterotic NS5-brane
solutions, we obtain the KK5-brane and the exotic $5^2_2$-brane solutions
associated with the symmetric, the neutral and the gauge NS5-branes. We find
that the Yang-Mills gauge field in these solutions satisfies the self-duality
condition in the three- and two-dimensional transverse spaces to the brane
world-volumes. The $O(2,2)$ monodromy structures of the $5^2_2$-brane solutions
are investigated by the $\alpha'$-corrected generalized metric. Our analysis
shows that the symmetric $5^2_2$-brane solution, which satisfies the standard
embedding condition, is a T-fold and it exhibits the non-geometric nature. We
also find that the neutral $5^2_2$-brane solution is a T-fold at least at
$\mathcal{O} (\alpha')$. On the other hand, the gauge $5^2_2$-brane solution is
not a T-fold but show unusual structures of space-time.
| [
{
"created": "Thu, 4 Aug 2016 06:33:31 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Aug 2016 14:20:22 GMT",
"version": "v2"
},
{
"created": "Thu, 17 Nov 2016 11:03:14 GMT",
"version": "v3"
},
{
"created": "Mon, 15 Mar 2021 02:41:55 GMT",
"version": "v4"
}
] | 2021-03-16 | [
[
"Sasaki",
"Shin",
""
],
[
"Yata",
"Masaya",
""
]
] | We study T-duality chains of five-branes in heterotic supergravity where the first order $\alpha'$-corrections are present. By performing the $\alpha'$-corrected T-duality transformations of the heterotic NS5-brane solutions, we obtain the KK5-brane and the exotic $5^2_2$-brane solutions associated with the symmetric, the neutral and the gauge NS5-branes. We find that the Yang-Mills gauge field in these solutions satisfies the self-duality condition in the three- and two-dimensional transverse spaces to the brane world-volumes. The $O(2,2)$ monodromy structures of the $5^2_2$-brane solutions are investigated by the $\alpha'$-corrected generalized metric. Our analysis shows that the symmetric $5^2_2$-brane solution, which satisfies the standard embedding condition, is a T-fold and it exhibits the non-geometric nature. We also find that the neutral $5^2_2$-brane solution is a T-fold at least at $\mathcal{O} (\alpha')$. On the other hand, the gauge $5^2_2$-brane solution is not a T-fold but show unusual structures of space-time. |
hep-th/0212126 | M. Hossein Dehghani | M. H. Dehghani and A. Khodam-Mohammadi | Thermodynamics of d-dimensional charged rotating black brane and AdS/CFT
correspondence | REVTEX4, 15 pages, 1 figure | Phys.Rev.D67:084006,2003 | 10.1103/PhysRevD.67.084006 | null | hep-th | null | We compute the Euclidean actions of a $d$-dimensional charged rotating black
brane both in the canonical and the grand-canonical ensemble through the use of
the counterterms renormalization method, and show that the logarithmic
divergencies associated with the Weyl anomalies and matter field vanish. We
obtain a Smarr-type formula for the mass as a function of the entropy, the
angular momenta, and the electric charge, and show that these quantities
satisfy the first law of thermodynamics. Using the conserved quantities and the
Euclidean actions, we calculate the thermodynamics potentials of the system in
terms of the temperature, angular velocities, and electric potential both in
the canonical and grand-canonical ensembles. We also perform a stability
analysis in these two ensembles, and show that the system is thermally stable.
This is commensurate with the fact that there is no Hawking-Page phase
transition for a black object with zero curvature horizon. Finally, we obtain
the logarithmic correction of the entropy due to the thermal fluctuation around
the equilibrium.
| [
{
"created": "Wed, 11 Dec 2002 13:54:41 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Apr 2003 07:30:23 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Dehghani",
"M. H.",
""
],
[
"Khodam-Mohammadi",
"A.",
""
]
] | We compute the Euclidean actions of a $d$-dimensional charged rotating black brane both in the canonical and the grand-canonical ensemble through the use of the counterterms renormalization method, and show that the logarithmic divergencies associated with the Weyl anomalies and matter field vanish. We obtain a Smarr-type formula for the mass as a function of the entropy, the angular momenta, and the electric charge, and show that these quantities satisfy the first law of thermodynamics. Using the conserved quantities and the Euclidean actions, we calculate the thermodynamics potentials of the system in terms of the temperature, angular velocities, and electric potential both in the canonical and grand-canonical ensembles. We also perform a stability analysis in these two ensembles, and show that the system is thermally stable. This is commensurate with the fact that there is no Hawking-Page phase transition for a black object with zero curvature horizon. Finally, we obtain the logarithmic correction of the entropy due to the thermal fluctuation around the equilibrium. |
hep-th/9812172 | Ori Ganor | Yeuk-Kwan E. Cheung, Ori J. Ganor, Morten Krogh and Andrei Yu.
Mikhailov | Instantons on a Non-commutative $T^4$ from Twisted (2,0) and
Little-String Theories | 32pp TeX, minor corrections | Nucl.Phys. B564 (2000) 259-284 | null | PUPT-1826, ITEP-TH-68/98 | hep-th math-ph math.MP | null | We show that the moduli space of the $(2,0)$ and little-string theories
compactified on $T^3$ with R-symmetry twists is equal to the moduli space of
U(1) instantons on a non-commutative $T^4$. The moduli space of $U(q)$
instantons on a non-commutative $T^4$ is obtained from little-string theories
of NS5-branes at $A_{q-1}$ singularities with twists. A large class of gauge
theories with ${\cal N}=4$ SUSY in 2+1D and ${\cal N}=2$ SUSY in 3+1D are
limiting cases of these theories. Hence, the moduli spaces of these gauge
theories can be read off from the moduli spaces of instantons on
non-commutative tori. We study the phase transitions in these theories and the
action of T-duality. On the purely mathematical side, we give a prediction for
the moduli space of 2 U(1) instantons on a non-commutative $T^4$.
| [
{
"created": "Fri, 18 Dec 1998 22:13:48 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Dec 1998 20:07:57 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Cheung",
"Yeuk-Kwan E.",
""
],
[
"Ganor",
"Ori J.",
""
],
[
"Krogh",
"Morten",
""
],
[
"Mikhailov",
"Andrei Yu.",
""
]
] | We show that the moduli space of the $(2,0)$ and little-string theories compactified on $T^3$ with R-symmetry twists is equal to the moduli space of U(1) instantons on a non-commutative $T^4$. The moduli space of $U(q)$ instantons on a non-commutative $T^4$ is obtained from little-string theories of NS5-branes at $A_{q-1}$ singularities with twists. A large class of gauge theories with ${\cal N}=4$ SUSY in 2+1D and ${\cal N}=2$ SUSY in 3+1D are limiting cases of these theories. Hence, the moduli spaces of these gauge theories can be read off from the moduli spaces of instantons on non-commutative tori. We study the phase transitions in these theories and the action of T-duality. On the purely mathematical side, we give a prediction for the moduli space of 2 U(1) instantons on a non-commutative $T^4$. |
1508.01855 | Joseph Ben Geloun | Joseph Ben Geloun, Riccardo Martini and Daniele Oriti | Functional Renormalisation Group analysis of a Tensorial Group Field
Theory on $\mathbb{R}^3$ | 7 pages, 2 Figures | null | 10.1209/0295-5075/112/31001 | ICMPA/MPA/2015/05 | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a model of Tensorial Group Field Theory (TGFT) on $\mathbb{R}^3$
from the point of view of the Functional Renormalisation Group. This is the
first attempt to apply a renormalisation procedure to a TGFT model defined over
a non-compact group manifold. IR divergences (with respect to the metric on
$\mathbb{R}$) coming from the non-compactness of the group are regularised via
compactification, and a thermodynamic limit is then taken. We identify then IR
and UV fixed points of the RG flow and find strong hints of a phase transition
of the TGFT system from a symmetric to a broken or condensate phase in the IR.
| [
{
"created": "Sat, 8 Aug 2015 05:22:50 GMT",
"version": "v1"
}
] | 2015-12-09 | [
[
"Geloun",
"Joseph Ben",
""
],
[
"Martini",
"Riccardo",
""
],
[
"Oriti",
"Daniele",
""
]
] | We study a model of Tensorial Group Field Theory (TGFT) on $\mathbb{R}^3$ from the point of view of the Functional Renormalisation Group. This is the first attempt to apply a renormalisation procedure to a TGFT model defined over a non-compact group manifold. IR divergences (with respect to the metric on $\mathbb{R}$) coming from the non-compactness of the group are regularised via compactification, and a thermodynamic limit is then taken. We identify then IR and UV fixed points of the RG flow and find strong hints of a phase transition of the TGFT system from a symmetric to a broken or condensate phase in the IR. |
0912.4724 | Martin Rocek | M. Goteman, U. Lindstrom, M. Rocek, Itai Ryb | Sigma models with off-shell N=(4,4) supersymmetry and noncommuting
complex structures | 20 pages; v2: significant corrections, clarifications, and
reorganization; v3: discussion of supersymmetry vs twisted supersymmetry
added, relevant signs corrected. | JHEP 1009:055,2010 | 10.1007/JHEP09(2010)055 | UUITP-28/09, YITP-SB-09-42 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe the conditions for extra supersymmetry in N=(2,2) supersymmetric
nonlinear sigma models written in terms of semichiral superfields. We find that
some of these models have additional off-shell supersymmetry. The (4,4)
supersymmetry introduces geometrical structures on the target-space which are
conveniently described in terms of Yano f-structures and Magri-Morosi
concomitants. On-shell, we relate the new structures to the known
bi-hypercomplex structures.
| [
{
"created": "Wed, 23 Dec 2009 20:28:52 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Jan 2010 05:09:49 GMT",
"version": "v2"
},
{
"created": "Sun, 2 May 2010 03:10:50 GMT",
"version": "v3"
}
] | 2014-11-20 | [
[
"Goteman",
"M.",
""
],
[
"Lindstrom",
"U.",
""
],
[
"Rocek",
"M.",
""
],
[
"Ryb",
"Itai",
""
]
] | We describe the conditions for extra supersymmetry in N=(2,2) supersymmetric nonlinear sigma models written in terms of semichiral superfields. We find that some of these models have additional off-shell supersymmetry. The (4,4) supersymmetry introduces geometrical structures on the target-space which are conveniently described in terms of Yano f-structures and Magri-Morosi concomitants. On-shell, we relate the new structures to the known bi-hypercomplex structures. |
hep-th/0105237 | Gerard Clement | Gerard Clement and Dmitri Gal'tsov | Conformal mechanics on rotating Bertotti-Robinson spacetime | 20 pages, Latex. Minor corrections. To be published in Nuclear
Physics B | Nucl.Phys. B619 (2001) 741-759 | 10.1016/S0550-3213(01)00501-6 | LAPTH-848/01 DTP-MSU/01-10 | hep-th gr-qc | null | We investigate conformal mechanics associated with the rotating
Bertotti-Robinson (RBR) geometry found recently as the near-horizon limit of
the extremal rotating Einstein-Maxwell-dilaton-axion black holes. The solution
breaks the $SL(2,R)\times SO(3)$ symmetry of Bertotti-Robinson (BR) spacetime
to $SL(2,R)\times U(1)$ and breaks supersymmetry in the sense of $N=4, d=4$
supergravity as well. However, it shares with BR such properties as confinement
of timelike geodesics and discreteness of the energy of test fields on the
geodesically complete manifold. Conformal mechanics governing the radial
geodesic motion coincides with that for a charged particle in the BR background
(a relativistic version of the De Alfaro-Fubini-Furlan model), with the
azimuthal momentum playing the role of a charge. Similarly to the BR case, the
transition from Poincar\'e to global coordinates leads to a redefinition of the
Hamiltonian making the energy spectrum discrete. Although the metric does not
split into a product space even asymptotically, it still admits an
infinite-dimensional extension of $SL(2,R)$ as asymptotic symmetry. The latter
is shown to be given by the product of one copy of the Virasoro algebra and
U(1), the same being valid for the extremal Kerr throat.
| [
{
"created": "Wed, 23 May 2001 14:22:03 GMT",
"version": "v1"
},
{
"created": "Mon, 28 May 2001 09:43:58 GMT",
"version": "v2"
},
{
"created": "Mon, 12 Nov 2001 14:21:00 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Clement",
"Gerard",
""
],
[
"Gal'tsov",
"Dmitri",
""
]
] | We investigate conformal mechanics associated with the rotating Bertotti-Robinson (RBR) geometry found recently as the near-horizon limit of the extremal rotating Einstein-Maxwell-dilaton-axion black holes. The solution breaks the $SL(2,R)\times SO(3)$ symmetry of Bertotti-Robinson (BR) spacetime to $SL(2,R)\times U(1)$ and breaks supersymmetry in the sense of $N=4, d=4$ supergravity as well. However, it shares with BR such properties as confinement of timelike geodesics and discreteness of the energy of test fields on the geodesically complete manifold. Conformal mechanics governing the radial geodesic motion coincides with that for a charged particle in the BR background (a relativistic version of the De Alfaro-Fubini-Furlan model), with the azimuthal momentum playing the role of a charge. Similarly to the BR case, the transition from Poincar\'e to global coordinates leads to a redefinition of the Hamiltonian making the energy spectrum discrete. Although the metric does not split into a product space even asymptotically, it still admits an infinite-dimensional extension of $SL(2,R)$ as asymptotic symmetry. The latter is shown to be given by the product of one copy of the Virasoro algebra and U(1), the same being valid for the extremal Kerr throat. |
2005.08388 | Edgar Shaghoulian | Edgar Shaghoulian | A symmetry principle for emergent spacetime | 6 pages. Essay written for the Gravity Research Foundation 2020
Awards for Essays on Gravitation | null | 10.1142/S0218271820430142 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | There are many examples where geometry and gravity are concepts that emerge
from a theory of quantum mechanics without gravity. This suggests thinking of
gravity as an exotic phase of matter. Quantifying this phase in the Landau
paradigm requires some sort of symmetry principle or order parameter that
captures its appearance. In this essay we propose higher-form symmetries as a
symmetry principle underlying emergent spacetime. We explore higher-form
symmetries in gauge-gravity duality and explain how their breaking describes
features of a gravitational theory. Such symmetries imply the existence of
nonlocal objects in the gravitational theory -- in gauge-gravity duality these
are the strings and branes of the bulk theory -- giving an alternative way to
understand the nonlocality necessary in any ultraviolet completion of gravity.
| [
{
"created": "Sun, 17 May 2020 22:42:16 GMT",
"version": "v1"
}
] | 2021-02-03 | [
[
"Shaghoulian",
"Edgar",
""
]
] | There are many examples where geometry and gravity are concepts that emerge from a theory of quantum mechanics without gravity. This suggests thinking of gravity as an exotic phase of matter. Quantifying this phase in the Landau paradigm requires some sort of symmetry principle or order parameter that captures its appearance. In this essay we propose higher-form symmetries as a symmetry principle underlying emergent spacetime. We explore higher-form symmetries in gauge-gravity duality and explain how their breaking describes features of a gravitational theory. Such symmetries imply the existence of nonlocal objects in the gravitational theory -- in gauge-gravity duality these are the strings and branes of the bulk theory -- giving an alternative way to understand the nonlocality necessary in any ultraviolet completion of gravity. |
1808.01796 | Suntharan Arunasalam | Suntharan Arunasalam and Archil Kobakhidze | Charged gravitational instantons: extra CP violation and charge
quantisation in the Standard Model | v2: reference added | null | 10.1140/epjc/s10052-019-6577-y | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We argue that quantum electrodynamics combined with quantum gravity results
in a new source of CP violation, anomalous non-conservation of chiral charge
and quantisation of electric charge. Further phenomenological and cosmological
implications of this observation are briefly discussed within the standard
model of particle physics and cosmology
| [
{
"created": "Mon, 6 Aug 2018 09:32:53 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Aug 2018 04:57:57 GMT",
"version": "v2"
}
] | 2019-02-20 | [
[
"Arunasalam",
"Suntharan",
""
],
[
"Kobakhidze",
"Archil",
""
]
] | We argue that quantum electrodynamics combined with quantum gravity results in a new source of CP violation, anomalous non-conservation of chiral charge and quantisation of electric charge. Further phenomenological and cosmological implications of this observation are briefly discussed within the standard model of particle physics and cosmology |
1302.6581 | Felix Berkhahn | Felix Berkhahn, Sophia M\"uller, Florian Niedermann, Robert Schneider | Microscopic Picture of Non-Relativistic Classicalons | 11 pages | JCAP 1308 (2013) 028 | 10.1088/1475-7516/2013/08/028 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A theory of a non-relativistic, complex scalar field with derivatively
coupled interaction terms is investigated. This toy model is considered as a
prototype of a classicalizing theory and in particular of general relativity,
for which the black hole constitutes a prominent example of a classicalon.
Accordingly, the theory allows for a non-trivial solution of the stationary
Gross-Pitaevskii equation corresponding to a black hole in the case of GR.
Quantum fluctuations on this classical background are investigated within the
Bogoliubov approximation. It turns out that the perturbative approach is
invalidated by a high occupation of the Bogoliubov modes. Recently, it was
proposed that a black hole is a Bose-Einstein condensate of gravitons that
dynamically ensures to stay at the verge of a quantum phase transition. Our
result is understood as an indication for that claim. Furthermore, it motivates
a non-linear numerical analysis of the model.
| [
{
"created": "Tue, 26 Feb 2013 20:56:37 GMT",
"version": "v1"
}
] | 2015-05-20 | [
[
"Berkhahn",
"Felix",
""
],
[
"Müller",
"Sophia",
""
],
[
"Niedermann",
"Florian",
""
],
[
"Schneider",
"Robert",
""
]
] | A theory of a non-relativistic, complex scalar field with derivatively coupled interaction terms is investigated. This toy model is considered as a prototype of a classicalizing theory and in particular of general relativity, for which the black hole constitutes a prominent example of a classicalon. Accordingly, the theory allows for a non-trivial solution of the stationary Gross-Pitaevskii equation corresponding to a black hole in the case of GR. Quantum fluctuations on this classical background are investigated within the Bogoliubov approximation. It turns out that the perturbative approach is invalidated by a high occupation of the Bogoliubov modes. Recently, it was proposed that a black hole is a Bose-Einstein condensate of gravitons that dynamically ensures to stay at the verge of a quantum phase transition. Our result is understood as an indication for that claim. Furthermore, it motivates a non-linear numerical analysis of the model. |
hep-th/0310073 | A. V. Prozorkevich | S.A. Smolyansky, V.V. Skokov, A.V. Prozorkevich | Kinetic Theory of the Quantum Field Systems With Unstable Vacuum | 6 pages, 1 figure. Proceedings of XII International Conference on
Selected Problems of Modern Physics, Dubna, June 8--11, 2003 | Phys.Part.Nucl.Lett. 2 (2005) 293-299; Pisma
Fiz.Elem.Chast.Atom.Yadra 2N5 (2005) 50-60 | null | null | hep-th | null | The description of quantum field systems with meta-stable vacuum is motivated
by studies of many physical problems (the decay of disoriented chiral
condensate, the resonant decay of CP-odd meta-stable states, self-consistent
model of QGP pre-equilibrium evolution, the phase transition problem in the
systems with broken symmetry etc). A non-perturbative approach based on the
kinetic description within the framework of the quasi-particle representation
was proposed here. We restrict ourselves to scalar field theory with potentials
of polynomial type. The back reaction mechanism, i.e. the particle production
influence on background field is also discussed. Using the oscillator
representation, we derive the generalized kinetic equation with
non-pertrubative source term for description of particle-antiparticle creation
under action of background field and equation of motion for it. As an
illustrative example we consider one-component scalar theory with double-well
potential. On this example, we study some features of proposed approach, in
particular, the selection problem of stable vacuum state, what allows to avoid
appearance of tachyonic regimes. The similar analysis is possible for some
other models of such kind: the Friedberg-Lee model, the non-linear of $\eta$ --
meson model of Witten--Di Vecchia--Veneziano, end so on.
| [
{
"created": "Tue, 7 Oct 2003 20:27:20 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Oct 2003 05:53:22 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Smolyansky",
"S. A.",
""
],
[
"Skokov",
"V. V.",
""
],
[
"Prozorkevich",
"A. V.",
""
]
] | The description of quantum field systems with meta-stable vacuum is motivated by studies of many physical problems (the decay of disoriented chiral condensate, the resonant decay of CP-odd meta-stable states, self-consistent model of QGP pre-equilibrium evolution, the phase transition problem in the systems with broken symmetry etc). A non-perturbative approach based on the kinetic description within the framework of the quasi-particle representation was proposed here. We restrict ourselves to scalar field theory with potentials of polynomial type. The back reaction mechanism, i.e. the particle production influence on background field is also discussed. Using the oscillator representation, we derive the generalized kinetic equation with non-pertrubative source term for description of particle-antiparticle creation under action of background field and equation of motion for it. As an illustrative example we consider one-component scalar theory with double-well potential. On this example, we study some features of proposed approach, in particular, the selection problem of stable vacuum state, what allows to avoid appearance of tachyonic regimes. The similar analysis is possible for some other models of such kind: the Friedberg-Lee model, the non-linear of $\eta$ -- meson model of Witten--Di Vecchia--Veneziano, end so on. |
0710.5741 | Rodrigo Ferreira Sobreiro | M.A.L. Capri, V.E.R. Lemes, R.F. Sobreiro, S.P. Sorella, R. Thibes | Study of the nonlocal gauge invariant mass operator $\mathrm{Tr} \int
d^4x F_{\mu\nu} (D^2)^{-1} F_{\mu\nu}$ in the maximal Abelian gauge | null | J.Phys.A41:155401,2008 | 10.1088/1751-8113/41/15/155401 | null | hep-th | null | The nonlocal gauge invariant mass operator $\mathrm{Tr} \int d^{4}x
F_{\mu\nu} (D^2)^{-1} F_{\mu\nu}$ is investigated in Yang-Mills theories in the
maximal Abelian gauge. By means of the introduction of auxiliary fields a local
action is achieved, enabling us to use the algebraic renormalization in order
to prove the renormalizability of the resulting local model to all orders of
perturbation theory.
| [
{
"created": "Tue, 30 Oct 2007 19:10:41 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Capri",
"M. A. L.",
""
],
[
"Lemes",
"V. E. R.",
""
],
[
"Sobreiro",
"R. F.",
""
],
[
"Sorella",
"S. P.",
""
],
[
"Thibes",
"R.",
""
]
] | The nonlocal gauge invariant mass operator $\mathrm{Tr} \int d^{4}x F_{\mu\nu} (D^2)^{-1} F_{\mu\nu}$ is investigated in Yang-Mills theories in the maximal Abelian gauge. By means of the introduction of auxiliary fields a local action is achieved, enabling us to use the algebraic renormalization in order to prove the renormalizability of the resulting local model to all orders of perturbation theory. |
hep-th/0612268 | Anastasia Doikou | Anastasia Doikou | A note on the boundary spin $s$ XXZ chain | 12 pages, Latex | Phys.Lett.A366:556-562,2007 | 10.1016/j.physleta.2007.02.080 | null | hep-th cond-mat.stat-mech nlin.SI | null | The open spin $s$ XXZ model with non-diagonal boundaries is considered.
Within the algebraic Bethe ansatz framework and in the spirit of earlier works
we derive suitable reference states. The derivation of the reference state is
the crucial point in this investigation, and it involves the solution of sets
of difference equations. For the spin $s$ representation, expressed in terms of
difference operators, the pseudo-vacuum is identified in terms of
$q$-hypergeometric series. Having specified such states we then build the Bethe
states and also identify the spectrum of the model for generic values of the
anisotropy parameter $q$.
| [
{
"created": "Tue, 26 Dec 2006 10:28:50 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Doikou",
"Anastasia",
""
]
] | The open spin $s$ XXZ model with non-diagonal boundaries is considered. Within the algebraic Bethe ansatz framework and in the spirit of earlier works we derive suitable reference states. The derivation of the reference state is the crucial point in this investigation, and it involves the solution of sets of difference equations. For the spin $s$ representation, expressed in terms of difference operators, the pseudo-vacuum is identified in terms of $q$-hypergeometric series. Having specified such states we then build the Bethe states and also identify the spectrum of the model for generic values of the anisotropy parameter $q$. |
2207.14407 | Erich Cavalcanti PhD | N. M. Alvarenga, E. Cavalcanti, C. A. Linhares, J. A. Louren\c{c}o, J.
R. P. Mahon, F. Reis | Instantons and transseries of the Mathieu potential deformed by a
$\mathcal{PT}$-symmetry parameter | 9 pages, 8 figures | null | null | null | hep-th math-ph math.MP quant-ph | http://creativecommons.org/licenses/by/4.0/ | We investigate the non-perturbative effects of a deformation of the Mathieu
differential equation consistent with $\mathcal{PT}$-symmetry. First, we
develop a connection between the non-Hermitian and Hermitian scenarios by a
reparameterization in the complex plane, followed by a restriction of the
$\mathcal{PT}$-deformation parameter. The latter is responsible for preserving
the information about $\mathcal{PT}$-symmetry when we choose to work in the
Hermitian scenario. We note that this factor is present in all non-perturbative
results and in the transseries representation of the deformed Mathieu partition
function that we have obtained. In quantum mechanics, we found that the
deformation parameter of $\mathcal{PT}$-symmetry has an effect on the real
instanton solution for the Mathieu deformed potential in the Hermitian
scenario. As its value increases, the non-Hermiticity factor makes it smoother
for the instanton to pass from one minimum to another, that is, it modifies the
instanton width. The explanation for this lies in the fact that the height of
the potential barrier decreases as we increase the value of the deformation
parameter. Its effect extends to the multi-instanton level and to the bounce
limit of an instanton-anti-instanton pair whose equation of motion compares to
the resistively shunted junction (RSJ) model.
| [
{
"created": "Thu, 28 Jul 2022 23:17:58 GMT",
"version": "v1"
}
] | 2022-08-01 | [
[
"Alvarenga",
"N. M.",
""
],
[
"Cavalcanti",
"E.",
""
],
[
"Linhares",
"C. A.",
""
],
[
"Lourenço",
"J. A.",
""
],
[
"Mahon",
"J. R. P.",
""
],
[
"Reis",
"F.",
""
]
] | We investigate the non-perturbative effects of a deformation of the Mathieu differential equation consistent with $\mathcal{PT}$-symmetry. First, we develop a connection between the non-Hermitian and Hermitian scenarios by a reparameterization in the complex plane, followed by a restriction of the $\mathcal{PT}$-deformation parameter. The latter is responsible for preserving the information about $\mathcal{PT}$-symmetry when we choose to work in the Hermitian scenario. We note that this factor is present in all non-perturbative results and in the transseries representation of the deformed Mathieu partition function that we have obtained. In quantum mechanics, we found that the deformation parameter of $\mathcal{PT}$-symmetry has an effect on the real instanton solution for the Mathieu deformed potential in the Hermitian scenario. As its value increases, the non-Hermiticity factor makes it smoother for the instanton to pass from one minimum to another, that is, it modifies the instanton width. The explanation for this lies in the fact that the height of the potential barrier decreases as we increase the value of the deformation parameter. Its effect extends to the multi-instanton level and to the bounce limit of an instanton-anti-instanton pair whose equation of motion compares to the resistively shunted junction (RSJ) model. |
2012.15677 | Olaf Hohm | Tomas Codina, Olaf Hohm and Diego Marques | String Dualities at Order $\alpha'^{\,3}$ | 10 pages, v2: Major changes. Puzzle alluded to in the original title
has been resolved by finding a computational mistake. Corrected result: the
$\alpha'^3$ corrections with coefficient $\zeta(3)$ are compatible with
continuous $O(9,9)$ symmetry. Details of computation and references added,
v3: version published in PRL | Phys. Rev. Lett. 126, 171602 (2021) | 10.1103/PhysRevLett.126.171602 | HU-EP-20/46-RTG | hep-th | http://creativecommons.org/licenses/by/4.0/ | We compute the cosmological reduction of the fourth powers of the Riemann
tensor claimed to arise in string theory at order $\alpha'^{\,3}$, with overall
coefficient proportional to $\zeta(3)$, and show that it is compatible with an
$O(9,9)$ symmetry. This confirms the general result in string theory, due to
Sen, that classical string theory with $d$-dimensional translation invariance
admits an $O(d,d)$ symmetry to all orders in $\alpha'$.
| [
{
"created": "Thu, 31 Dec 2020 15:54:11 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Jan 2021 16:05:00 GMT",
"version": "v2"
},
{
"created": "Tue, 27 Apr 2021 15:32:18 GMT",
"version": "v3"
}
] | 2021-05-05 | [
[
"Codina",
"Tomas",
""
],
[
"Hohm",
"Olaf",
""
],
[
"Marques",
"Diego",
""
]
] | We compute the cosmological reduction of the fourth powers of the Riemann tensor claimed to arise in string theory at order $\alpha'^{\,3}$, with overall coefficient proportional to $\zeta(3)$, and show that it is compatible with an $O(9,9)$ symmetry. This confirms the general result in string theory, due to Sen, that classical string theory with $d$-dimensional translation invariance admits an $O(d,d)$ symmetry to all orders in $\alpha'$. |
hep-th/0703249 | Anton Ilderton | James Gray, Yang-Hui He, Anton Ilderton, Andre Lukas | A New Method for Finding Vacua in String Phenomenology | 27 pages, 5 .eps figures. V2: Minor corrections, reference added | JHEP 0707:023,2007 | 10.1088/1126-6708/2007/07/023 | null | hep-th | null | One of the central problems of string-phenomenology is to find stable vacua
in the four dimensional effective theories which result from compactification.
We present an algorithmic method to find all of the vacua of any given
string-phenomenological system in a huge class. In particular, this paper
reviews and then extends hep-th/0606122 to include various non-perturbative
effects. These include gaugino condensation and instantonic contributions to
the superpotential.
| [
{
"created": "Tue, 27 Mar 2007 20:02:31 GMT",
"version": "v1"
},
{
"created": "Thu, 24 May 2007 13:28:36 GMT",
"version": "v2"
}
] | 2010-02-03 | [
[
"Gray",
"James",
""
],
[
"He",
"Yang-Hui",
""
],
[
"Ilderton",
"Anton",
""
],
[
"Lukas",
"Andre",
""
]
] | One of the central problems of string-phenomenology is to find stable vacua in the four dimensional effective theories which result from compactification. We present an algorithmic method to find all of the vacua of any given string-phenomenological system in a huge class. In particular, this paper reviews and then extends hep-th/0606122 to include various non-perturbative effects. These include gaugino condensation and instantonic contributions to the superpotential. |
hep-th/9705113 | Suresh Govindarajan | Suresh Govindarajan | A note on M(atrix) theory in seven dimensions with eight supercharges | RevTeX, 8 pages, version to appear in journal | Phys. Rev. D 56, 5276 (1997) | 10.1103/PhysRevD.56.5276 | BONN-TH-97-07 | hep-th | null | We consider M(atrix) theory compactifications to seven dimensions with eight
unbroken supersymmetries. We conjecture that both M(atrix) theory on K3 and
Heterotic M(atrix) theory on T^3 are described by the same 5+1 dimensional
theory with N=2 supersymmetry which is broken to N=1 by the base space. The
emergence of the extra dimension follows from a recent result of
Rozali[hep-th/9702136]. We show that the seven dimensional duality between
M-theory on K3 and Heterotic string theory on T^3 is realised in M(atrix)
theory as the exchange of one of the dimensions with this new dimension.
| [
{
"created": "Thu, 15 May 1997 11:30:04 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Jun 1997 13:56:40 GMT",
"version": "v2"
},
{
"created": "Tue, 5 Aug 1997 13:43:23 GMT",
"version": "v3"
}
] | 2016-08-25 | [
[
"Govindarajan",
"Suresh",
""
]
] | We consider M(atrix) theory compactifications to seven dimensions with eight unbroken supersymmetries. We conjecture that both M(atrix) theory on K3 and Heterotic M(atrix) theory on T^3 are described by the same 5+1 dimensional theory with N=2 supersymmetry which is broken to N=1 by the base space. The emergence of the extra dimension follows from a recent result of Rozali[hep-th/9702136]. We show that the seven dimensional duality between M-theory on K3 and Heterotic string theory on T^3 is realised in M(atrix) theory as the exchange of one of the dimensions with this new dimension. |
hep-th/9406189 | Samar Abbas | Abbas Ali | Duality Invariant Superstring Actions | 14 pages, LaTeX, IP/BBSR/94-32 | Phys.Rev.D52:2312-2322,1995 | 10.1103/PhysRevD.52.2312 | null | hep-th | null | Worldsheet supersymmetric string action is written in duality invariant form
for flat as well as curved backgrounds. First the action in flat backgrounds is
written by introducing auxiliary fields. We also give the superfield form of
this action and obtain the offshell supersymmetry algebra. The action has a
modified Lorentz invariance and supersymmetry and reduces to the usual form
when the auxiliary fields are eliminated using their equations of motion.
Supersymmetric nonlinear sigma model in curved backgrounds is also written in
manifestly duality invariant form when the background metric and tortion fields
are independent of some of the coordinates.
| [
{
"created": "Mon, 27 Jun 1994 16:19:12 GMT",
"version": "v1"
}
] | 2011-07-19 | [
[
"Ali",
"Abbas",
""
]
] | Worldsheet supersymmetric string action is written in duality invariant form for flat as well as curved backgrounds. First the action in flat backgrounds is written by introducing auxiliary fields. We also give the superfield form of this action and obtain the offshell supersymmetry algebra. The action has a modified Lorentz invariance and supersymmetry and reduces to the usual form when the auxiliary fields are eliminated using their equations of motion. Supersymmetric nonlinear sigma model in curved backgrounds is also written in manifestly duality invariant form when the background metric and tortion fields are independent of some of the coordinates. |
hep-th/9903125 | Jaemo Park | Keshav Dasgupta and Jaemo Park | Brane mapping under $(-1)^{F_L}$ | 6 pages, interpretation of the boundary state mapping in terms of
D-branes is clarified and a reference added | Phys.Lett. B457 (1999) 47-50 | 10.1016/S0370-2693(99)00522-5 | IASSNS-HEP-99/29 | hep-th | null | We present the evidence that $(-1)^{F_L}$ is a nonperturbative symmetry of
Type II string theory. We argue that $(-1)^{F_L}$ is a symmetry of string
theory as much as the $SL(2, Z)$ of the Type II string is and how the branes
are mapped under the $(-1)^{F_L}$ modding. NS branes are mapped into the NS
branes with the same world volume dimensions but with the different chiral
structure. Supersymmetric Dp-branes (bound with anti-Dp branes) are mapped to
unstable nonsupersymmetric Dp-branes, which has D(p-1)-branes as kink solutions
according to Horava.
| [
{
"created": "Mon, 15 Mar 1999 16:18:58 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Mar 1999 18:56:01 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Dasgupta",
"Keshav",
""
],
[
"Park",
"Jaemo",
""
]
] | We present the evidence that $(-1)^{F_L}$ is a nonperturbative symmetry of Type II string theory. We argue that $(-1)^{F_L}$ is a symmetry of string theory as much as the $SL(2, Z)$ of the Type II string is and how the branes are mapped under the $(-1)^{F_L}$ modding. NS branes are mapped into the NS branes with the same world volume dimensions but with the different chiral structure. Supersymmetric Dp-branes (bound with anti-Dp branes) are mapped to unstable nonsupersymmetric Dp-branes, which has D(p-1)-branes as kink solutions according to Horava. |
hep-th/9306012 | null | D.Boulatov | qQCD$_2$ and G/G model | 7pp, NBI-HE-93-27, revised. Small changes: several fixed inaccuracies
+ updated references | Mod.Phys.Lett. A8 (1993) 3491-3496 | 10.1142/S0217732393003913 | null | hep-th | null | The 2D lattice gauge theory with a quantum gauge group $SL_q(2)$ is
considered. When $q=e^{i\frac{2\pi}{k+2}}$, its weak coupling partition
function coincides with the one of the G/G coset model ({\em i.e.} equals the
Verlinde numbers). However, despite such a remarkable coincidence, these models
are not equivalent but, in some certain sense, dual to each other.
| [
{
"created": "Wed, 2 Jun 1993 13:41:30 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Aug 1993 15:18:32 GMT",
"version": "v2"
}
] | 2009-10-22 | [
[
"Boulatov",
"D.",
""
]
] | The 2D lattice gauge theory with a quantum gauge group $SL_q(2)$ is considered. When $q=e^{i\frac{2\pi}{k+2}}$, its weak coupling partition function coincides with the one of the G/G coset model ({\em i.e.} equals the Verlinde numbers). However, despite such a remarkable coincidence, these models are not equivalent but, in some certain sense, dual to each other. |
hep-th/0207207 | Antonio Lopez Maroto | Antonio L. Maroto | Casimir effect between moving branes | 14 pages, LaTeX. Final version with new references included, to be
published in Nucl. Phys. B | Nucl.Phys.B653:109-122,2003 | 10.1016/S0550-3213(03)00039-7 | null | hep-th hep-ph | null | We consider a supersymmetric model with a single matter supermultiplet in a
five-dimensional space-time with orbifold compactification along the fifth
dimension. The boundary conditions on the two orbifold planes are chosen in
such a way that supersymmetry remains unbroken on the boundaries. We calculate
the vacuum energy-momentum tensor in a configuration in which the boundary
branes are moving with constant velocity. The results show that the
contribution from fermions cancels that of bosons only in the static limit, but
in general a velocity-dependent Casimir energy arises between the branes. We
relate this effect to the particle production due to the branes motion and
finally we discuss some cosmological consequences.
| [
{
"created": "Tue, 23 Jul 2002 12:14:33 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Jan 2003 09:29:54 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Maroto",
"Antonio L.",
""
]
] | We consider a supersymmetric model with a single matter supermultiplet in a five-dimensional space-time with orbifold compactification along the fifth dimension. The boundary conditions on the two orbifold planes are chosen in such a way that supersymmetry remains unbroken on the boundaries. We calculate the vacuum energy-momentum tensor in a configuration in which the boundary branes are moving with constant velocity. The results show that the contribution from fermions cancels that of bosons only in the static limit, but in general a velocity-dependent Casimir energy arises between the branes. We relate this effect to the particle production due to the branes motion and finally we discuss some cosmological consequences. |
2202.06706 | Jose Barrientos | Jos\'e Barrientos, Adolfo Cisterna, Nicol\'as Mora and Adriano
Vigan\`o | AdS-Taub-NUT spacetimes and exact black bounces with scalar hair | Published PRD version | Phys. Rev. D 106, 024038 (2022) | 10.1103/PhysRevD.106.024038 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We present a new family of exact four-dimensional Taub-NUT spacetimes in
Einstein-$\Lambda$ theory supplemented with a conformally coupled scalar field
exhibiting a power-counting super-renormalizable potential. The construction
proceeds as follows: A solution of a conformally coupled theory with a
conformal potential, henceforth the seed $(g_{\mu\nu},\phi)$, is transformed by
the action of a specific change of frame in addition with a simultaneous shift
of the seed scalar. The new configuration, $(\bar{g}_{\mu\nu},\bar{\phi})$,
solves the field equations of a conformally coupled theory with the
aforementioned super-renormalizable potential. The solution spectrum of the
seed is notoriously enhanced. We highlight the existence of two types of exact
black bounces given by de Sitter and anti-de Sitter geometries that transit
across three different configurations each. The de Sitter geometries transit
from a regular black hole with event and cosmological horizons to a bouncing
cosmology connecting two de Sitter Universes with different values of the
asymptotic cosmological constant. An intermediate phase represented by a de
Sitter wormhole or by a bouncing cosmology that connects two de Sitter
Universes is shown, this under the presence of a cosmological horizon. On the
other hand, the anti-de Sitter geometries transit from a regular black hole
with inner and event horizons to a wormhole that connects two asymptotic
boundaries with different constant curvatures. The intermediate phase is given
by an anti-de Sitter regular black hole with a single event horizon that
appears in two different settings. As a regular anti-de Sitter black hole
inside of an anti-de Sitter wormhole or as an anti-de Sitter regular black hole
with an internal cosmological bounce. These geometries are smoothly connected
by the mass parameter only. Other black holes, bouncing cosmologies and
wormholes are also found.
| [
{
"created": "Mon, 14 Feb 2022 13:57:43 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Aug 2022 18:17:54 GMT",
"version": "v2"
}
] | 2022-08-31 | [
[
"Barrientos",
"José",
""
],
[
"Cisterna",
"Adolfo",
""
],
[
"Mora",
"Nicolás",
""
],
[
"Viganò",
"Adriano",
""
]
] | We present a new family of exact four-dimensional Taub-NUT spacetimes in Einstein-$\Lambda$ theory supplemented with a conformally coupled scalar field exhibiting a power-counting super-renormalizable potential. The construction proceeds as follows: A solution of a conformally coupled theory with a conformal potential, henceforth the seed $(g_{\mu\nu},\phi)$, is transformed by the action of a specific change of frame in addition with a simultaneous shift of the seed scalar. The new configuration, $(\bar{g}_{\mu\nu},\bar{\phi})$, solves the field equations of a conformally coupled theory with the aforementioned super-renormalizable potential. The solution spectrum of the seed is notoriously enhanced. We highlight the existence of two types of exact black bounces given by de Sitter and anti-de Sitter geometries that transit across three different configurations each. The de Sitter geometries transit from a regular black hole with event and cosmological horizons to a bouncing cosmology connecting two de Sitter Universes with different values of the asymptotic cosmological constant. An intermediate phase represented by a de Sitter wormhole or by a bouncing cosmology that connects two de Sitter Universes is shown, this under the presence of a cosmological horizon. On the other hand, the anti-de Sitter geometries transit from a regular black hole with inner and event horizons to a wormhole that connects two asymptotic boundaries with different constant curvatures. The intermediate phase is given by an anti-de Sitter regular black hole with a single event horizon that appears in two different settings. As a regular anti-de Sitter black hole inside of an anti-de Sitter wormhole or as an anti-de Sitter regular black hole with an internal cosmological bounce. These geometries are smoothly connected by the mass parameter only. Other black holes, bouncing cosmologies and wormholes are also found. |
0809.2462 | Shao-Wen Wei | Yu-Xiao Liu, Shao-Wen Wei, Li-Jie Zhang, Ji-Rong Ren | Physical States and BRST Operators for Higher-spin $W$ Strings | 18 pages, 2 tables, no figures | Eur.Phys.J.C60:675-684,2009 | 10.1140/epjc/s10052-009-0958-6 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we mainly investigate the $W_{2,s}^{M}\otimes W_{2,s}^{L}$
system, in which the matter and the Liouville subsystems generate $W_{2,s}^{M}$
and $W_{2,s}^L$ algebras respectively. We first give a brief discussion of the
physical states for corresponding $W$ stings. The lower states are given by
freezing the spin-2 and spin-$s$ currents. Then, introducing two pairs of
ghost-like fields, we give the realizations of $W_{1,2,s}$ algebras. Based on
these linear realizations, BRST operators for $W_{2,s}$ algebras are obtained.
Finally, we construct new BRST charges of Liouville system for $W_{2,s}^{L}$
strings at the specific values of central charges $c$: $c=-{22/5}$ for
$W_{2,3}^{L}$ algebra, $c=-24$ for $W_{2,4}^{L}$ algebra and $c=-2,-{286/3}$
for $W_{2,6}^{L}$ algebra, at which the corresponding $W_{2,s}^L$ algebras are
singular.
| [
{
"created": "Mon, 15 Sep 2008 08:39:50 GMT",
"version": "v1"
},
{
"created": "Sun, 19 Apr 2009 13:37:57 GMT",
"version": "v2"
}
] | 2009-04-24 | [
[
"Liu",
"Yu-Xiao",
""
],
[
"Wei",
"Shao-Wen",
""
],
[
"Zhang",
"Li-Jie",
""
],
[
"Ren",
"Ji-Rong",
""
]
] | In this paper, we mainly investigate the $W_{2,s}^{M}\otimes W_{2,s}^{L}$ system, in which the matter and the Liouville subsystems generate $W_{2,s}^{M}$ and $W_{2,s}^L$ algebras respectively. We first give a brief discussion of the physical states for corresponding $W$ stings. The lower states are given by freezing the spin-2 and spin-$s$ currents. Then, introducing two pairs of ghost-like fields, we give the realizations of $W_{1,2,s}$ algebras. Based on these linear realizations, BRST operators for $W_{2,s}$ algebras are obtained. Finally, we construct new BRST charges of Liouville system for $W_{2,s}^{L}$ strings at the specific values of central charges $c$: $c=-{22/5}$ for $W_{2,3}^{L}$ algebra, $c=-24$ for $W_{2,4}^{L}$ algebra and $c=-2,-{286/3}$ for $W_{2,6}^{L}$ algebra, at which the corresponding $W_{2,s}^L$ algebras are singular. |
hep-th/0112016 | Fernando T. Brandt | F. T. Brandt, Ashok Das, J. Frenkel and J. C. Taylor | Kronecker delta energy terms in thermal field theory | 9 pages | Phys.Rev.D65:085008,2002 | 10.1103/PhysRevD.65.085008 | null | hep-th | null | We discuss, using the imaginary time method, some aspects of the connection
between the Ward identity, the non-analyticity of amplitudes and the causality
relation in QED at finite temperature.
| [
{
"created": "Mon, 3 Dec 2001 14:28:33 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Brandt",
"F. T.",
""
],
[
"Das",
"Ashok",
""
],
[
"Frenkel",
"J.",
""
],
[
"Taylor",
"J. C.",
""
]
] | We discuss, using the imaginary time method, some aspects of the connection between the Ward identity, the non-analyticity of amplitudes and the causality relation in QED at finite temperature. |
2205.13408 | Magdalena Larfors | Magdalena Larfors, Andre Lukas, Fabian Ruehle, Robin Schneider | Numerical Metrics for Complete Intersection and Kreuzer-Skarke
Calabi-Yau Manifolds | 36 pages, 3 figures, uses cymetric:
https://github.com/pythoncymetric/cymetric | null | null | UUITP-25/22 | hep-th | http://creativecommons.org/licenses/by/4.0/ | We introduce neural networks to compute numerical Ricci-flat CY metrics for
complete intersection and Kreuzer-Skarke Calabi-Yau manifolds at any point in
K\"ahler and complex structure moduli space, and introduce the package cymetric
which provides computation realizations of these techniques. In particular, we
develop and computationally realize methods for point-sampling on these
manifolds. The training for the neural networks is carried out subject to a
custom loss function. The K\"ahler class is fixed by adding to the loss a
component which enforces the slopes of certain line bundles to match with
topological computations. Our methods are applied to various manifolds,
including the quintic manifold, the bi-cubic manifold and a Kreuzer-Skarke
manifold with Picard number two. We show that volumes and line bundle slopes
can be reliably computed from the resulting Ricci-flat metrics. We also apply
our results to compute an approximate Hermitian-Yang-Mills connection on a
specific line bundle on the bi-cubic.
| [
{
"created": "Thu, 26 May 2022 15:02:25 GMT",
"version": "v1"
}
] | 2022-05-27 | [
[
"Larfors",
"Magdalena",
""
],
[
"Lukas",
"Andre",
""
],
[
"Ruehle",
"Fabian",
""
],
[
"Schneider",
"Robin",
""
]
] | We introduce neural networks to compute numerical Ricci-flat CY metrics for complete intersection and Kreuzer-Skarke Calabi-Yau manifolds at any point in K\"ahler and complex structure moduli space, and introduce the package cymetric which provides computation realizations of these techniques. In particular, we develop and computationally realize methods for point-sampling on these manifolds. The training for the neural networks is carried out subject to a custom loss function. The K\"ahler class is fixed by adding to the loss a component which enforces the slopes of certain line bundles to match with topological computations. Our methods are applied to various manifolds, including the quintic manifold, the bi-cubic manifold and a Kreuzer-Skarke manifold with Picard number two. We show that volumes and line bundle slopes can be reliably computed from the resulting Ricci-flat metrics. We also apply our results to compute an approximate Hermitian-Yang-Mills connection on a specific line bundle on the bi-cubic. |
hep-th/0608066 | Omer Faruk Dayi | O.F. Dayi and K. Ulker | Superfield formulation of N=4 supersymmetric Yang-Mills theory in
extended superspace | Minor changes. Refs added | null | null | null | hep-th | null | Action of 4 dimensional N=4 supersymmetric Yang-Mills theory is written by
employing the superfields in N=4 superspace which were used to prove the
equivalence of its constraint equations and equations of motion. Integral forms
of the extended superspace are engaged to collect all of the superfields in one
"master" superfield. The proposed N=4 supersymmetric Yang-Mills action in
extended superspace is shown to acquire a simple form in terms of the master
superfield.
| [
{
"created": "Thu, 10 Aug 2006 07:11:25 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Oct 2006 09:10:10 GMT",
"version": "v2"
},
{
"created": "Wed, 10 Jan 2007 08:45:13 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Dayi",
"O. F.",
""
],
[
"Ulker",
"K.",
""
]
] | Action of 4 dimensional N=4 supersymmetric Yang-Mills theory is written by employing the superfields in N=4 superspace which were used to prove the equivalence of its constraint equations and equations of motion. Integral forms of the extended superspace are engaged to collect all of the superfields in one "master" superfield. The proposed N=4 supersymmetric Yang-Mills action in extended superspace is shown to acquire a simple form in terms of the master superfield. |
1302.0816 | Juan Jottar | Jan de Boer and Juan I. Jottar | Thermodynamics of Higher Spin Black Holes in AdS$_3$ | 30 pages, PDFLaTeX; v2: typos corrected, explicit expressions for the
free energy added | JHEP 1401:023,2014 | 10.1007/JHEP01(2014)023 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the thermodynamics of recently constructed three-dimensional
higher spin black holes in SL(N,R)\times SL(N,R) Chern-Simons theory with
generalized asymptotically-anti-de Sitter boundary conditions. From a
holographic perspective, these bulk theories are dual to two-dimensional CFTs
with W_N symmetry algebras, and the black hole solutions are dual to thermal
states with higher spin chemical potentials and charges turned on. Because the
notion of horizon area is not gauge-invariant in the higher spin theory, the
traditional approaches to the computation of black hole entropy must be
reconsidered. One possibility, explored in the recent literature, involves
demanding the existence of a partition function in the CFT, and consistency
with the first law of thermodynamics. This approach is not free from
ambiguities, however, and in particular different definitions of energy result
in different expressions for the entropy. In the present work we show that
there are natural definitions of the thermodynamically conjugate variables that
follow from careful examination of the variational principle, and moreover
agree with those obtained via canonical methods. Building on this intuition, we
derive general expressions for the higher spin black hole entropy and free
energy which are written entirely in terms of the Chern-Simons connections, and
are valid for both static and rotating solutions. We compare our results to
other proposals in the literature, and provide a new and efficient way to
determine the generalization of the Cardy formula to a situation with higher
spin charges.
| [
{
"created": "Mon, 4 Feb 2013 19:45:33 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Jun 2013 17:23:30 GMT",
"version": "v2"
}
] | 2018-10-09 | [
[
"de Boer",
"Jan",
""
],
[
"Jottar",
"Juan I.",
""
]
] | We discuss the thermodynamics of recently constructed three-dimensional higher spin black holes in SL(N,R)\times SL(N,R) Chern-Simons theory with generalized asymptotically-anti-de Sitter boundary conditions. From a holographic perspective, these bulk theories are dual to two-dimensional CFTs with W_N symmetry algebras, and the black hole solutions are dual to thermal states with higher spin chemical potentials and charges turned on. Because the notion of horizon area is not gauge-invariant in the higher spin theory, the traditional approaches to the computation of black hole entropy must be reconsidered. One possibility, explored in the recent literature, involves demanding the existence of a partition function in the CFT, and consistency with the first law of thermodynamics. This approach is not free from ambiguities, however, and in particular different definitions of energy result in different expressions for the entropy. In the present work we show that there are natural definitions of the thermodynamically conjugate variables that follow from careful examination of the variational principle, and moreover agree with those obtained via canonical methods. Building on this intuition, we derive general expressions for the higher spin black hole entropy and free energy which are written entirely in terms of the Chern-Simons connections, and are valid for both static and rotating solutions. We compare our results to other proposals in the literature, and provide a new and efficient way to determine the generalization of the Cardy formula to a situation with higher spin charges. |
1108.5763 | Dan Israel | Dan Israel, Flavien Kiefer | Rolling tachyons for separated brane-antibrane systems | 40 pages, no figures; version 2 : published version | null | 10.1103/PhysRevD.85.106002 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider tachyon condensation between a D-brane and an anti-D-brane in
superstring theory, when they are separated in their common transverse
directions. A simple rolling tachyon solution, that describes the time
evolution of the process, is studied from the point of view of boundary
conformal field theory. By computing the boundary beta-functions of the system,
one finds that this theory is conformal, hence corresponds to an exact solution
of the string theory equations of motion. By contrast, the
time-reversal-symmetric rolling tachyon is not conformal. These results put
constraints on the space-time effective actions for the system.
| [
{
"created": "Mon, 29 Aug 2011 21:38:49 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Jul 2014 19:38:55 GMT",
"version": "v2"
}
] | 2014-07-08 | [
[
"Israel",
"Dan",
""
],
[
"Kiefer",
"Flavien",
""
]
] | We consider tachyon condensation between a D-brane and an anti-D-brane in superstring theory, when they are separated in their common transverse directions. A simple rolling tachyon solution, that describes the time evolution of the process, is studied from the point of view of boundary conformal field theory. By computing the boundary beta-functions of the system, one finds that this theory is conformal, hence corresponds to an exact solution of the string theory equations of motion. By contrast, the time-reversal-symmetric rolling tachyon is not conformal. These results put constraints on the space-time effective actions for the system. |
hep-th/0607106 | Ralf Hofmann | Ralf Hofmann | The deconfining phase of SU(2) Yang-Mills thermodynamics | 8 pages, 1 figure, talk delivered at Continuous Advances in QCD 2006,
Minneapolis, contains more information than the talk, v2: consequences of
change in evolution equation implemented, hardy a change in physics | null | 10.1142/9789812708267_0029 | HD-THEP-06-13 | hep-th | null | We present an overview on nonperturbative thermodynamics in the deconfining
phase of an SU(2) Yang-Mills theory. In a unique effective theory the maximal
resolution of trivial-topology fluctuations is constrained by coarse-grained,
interacting calorons and anticalorons. Loop expansions of thermodynamical
quantities are discussed. Postulating that
SU(2)$_{\tiny{CMB}}\stackrel{\tiny{today}}=U(1)_Y$, a modification of
thermalized, low-momentum photon propagation is predicted for temperatures a
few times that of the cosmic microwave background. We discuss phenomenological
implications: magnetic-field induced dichroism and birefringence at a
temperature of 4.2 K (PVLAS), stability of cold and dilute clouds of atomic
hydrogen in our galaxy, and absence of low-$l$ correlations in the TT CMB power
spectrum.
| [
{
"created": "Mon, 17 Jul 2006 11:00:09 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Nov 2006 10:53:25 GMT",
"version": "v2"
}
] | 2017-08-23 | [
[
"Hofmann",
"Ralf",
""
]
] | We present an overview on nonperturbative thermodynamics in the deconfining phase of an SU(2) Yang-Mills theory. In a unique effective theory the maximal resolution of trivial-topology fluctuations is constrained by coarse-grained, interacting calorons and anticalorons. Loop expansions of thermodynamical quantities are discussed. Postulating that SU(2)$_{\tiny{CMB}}\stackrel{\tiny{today}}=U(1)_Y$, a modification of thermalized, low-momentum photon propagation is predicted for temperatures a few times that of the cosmic microwave background. We discuss phenomenological implications: magnetic-field induced dichroism and birefringence at a temperature of 4.2 K (PVLAS), stability of cold and dilute clouds of atomic hydrogen in our galaxy, and absence of low-$l$ correlations in the TT CMB power spectrum. |
hep-th/0511193 | Dionisio Bazeia | D. Bazeia, L. Losano | Deformed defects with applications to braneworlds | 7 pages, 6 figures; version to appear in PRD | Phys.Rev. D73 (2006) 025016 | 10.1103/PhysRevD.73.025016 | null | hep-th | null | In this work we investigate two distinct extensions of the deformation
procedure introduced in former works on deformed defects. The first extension
deals with the use of deformation functions which can assume complex values,
and the second concerns the possibility of making the deformation dependent on
the defect solution of the model used to implement the deformation. These two
extensions bring the deformation procedure to a significantly higher standard
and allow to build interesting results, as we explicitly illustrate with
examples of current interest to high energy physics.
| [
{
"created": "Mon, 21 Nov 2005 14:06:43 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Dec 2005 14:25:34 GMT",
"version": "v2"
},
{
"created": "Thu, 5 Jan 2006 12:30:56 GMT",
"version": "v3"
}
] | 2009-11-11 | [
[
"Bazeia",
"D.",
""
],
[
"Losano",
"L.",
""
]
] | In this work we investigate two distinct extensions of the deformation procedure introduced in former works on deformed defects. The first extension deals with the use of deformation functions which can assume complex values, and the second concerns the possibility of making the deformation dependent on the defect solution of the model used to implement the deformation. These two extensions bring the deformation procedure to a significantly higher standard and allow to build interesting results, as we explicitly illustrate with examples of current interest to high energy physics. |
hep-th/9204076 | Gabriele Ferretti | G. Ferretti, S.G.Rajeev and Z. Yang | Baryons as Solitons in Three Dimensional Quantum Chromodynamics | 22 pages + 4 figures (figures not included, postscript files
available upon request) | Int.J.Mod.Phys. A7 (1992) 8001-8020 | 10.1142/S0217751X92003628 | null | hep-th | null | We show that baryons of three dimensional Quantum Chromodynamics can be
understood as solitons of its effective lagrangian. In the parity preserving
phase we study, these baryons are fermions for odd $N_c$ and bosons for even
$N_c$, never anyons. We quantize the collective variables of the solitons and
there by calculate the flavor quantum numbers, magnetic moments and mass
splittings of the baryon. The flavor quantum numbers are in agreement with
naive quark model for the low lying states. The magnetic moments and mass
splittings are smaller in the soliton model by a factor of $\log {F_\pi\over
N_c m_\pi}$. We also show that there is a dibaryon solution that is an analogue
of the deuteron. These solitons can describe defects in a quantum
anti--ferromagnet.
| [
{
"created": "Thu, 23 Apr 1992 16:36:00 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Ferretti",
"G.",
""
],
[
"Rajeev",
"S. G.",
""
],
[
"Yang",
"Z.",
""
]
] | We show that baryons of three dimensional Quantum Chromodynamics can be understood as solitons of its effective lagrangian. In the parity preserving phase we study, these baryons are fermions for odd $N_c$ and bosons for even $N_c$, never anyons. We quantize the collective variables of the solitons and there by calculate the flavor quantum numbers, magnetic moments and mass splittings of the baryon. The flavor quantum numbers are in agreement with naive quark model for the low lying states. The magnetic moments and mass splittings are smaller in the soliton model by a factor of $\log {F_\pi\over N_c m_\pi}$. We also show that there is a dibaryon solution that is an analogue of the deuteron. These solitons can describe defects in a quantum anti--ferromagnet. |
hep-th/9801207 | Csaba Csaki | Csaba Csaki (UC Berkeley), Martin Schmaltz (Boston Univ.), Witold
Skiba (UC San Diego), John Terning (UC Berkeley) | Gauge Theories with Tensors from Branes and Orientifolds | Discussion on duality in U(N) with a symmetric or antisymmetric
flavor added to Section 4. Typos fixed | Phys.Rev.D57:7546-7560,1998 | 10.1103/PhysRevD.57.7546 | UCB-PTH-98/09, LBNL-41341, BU/HEP-98-04, UCSD-PTH-98/05 | hep-th | null | We present brane constructions in Type IIA string theory for N=1
supersymmetric SO and Sp gauge theories with tensor representations using an
orientifold 6-plane. One limit of these set-ups corresponds to N=2 theories
previously constructed by Landsteiner and Lopez, while a different limit yields
N=1 SO or Sp theories with a massless tensor and no superpotential. For the
Sp-type orientifold projection comparison with the field theory moduli space
leads us to postulate two new rules governing the stability of configurations
of D-branes intersecting the orientifold. Lifting one of our configurations to
M-theory by finding the corresponding curves, we re-derive the N=1 dualities
for SO and Sp groups using semi-infinite D4 branes.
| [
{
"created": "Sat, 31 Jan 1998 00:25:53 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Feb 1998 00:17:52 GMT",
"version": "v2"
}
] | 2009-09-17 | [
[
"Csaki",
"Csaba",
"",
"UC Berkeley"
],
[
"Schmaltz",
"Martin",
"",
"Boston Univ."
],
[
"Skiba",
"Witold",
"",
"UC San Diego"
],
[
"Terning",
"John",
"",
"UC Berkeley"
]
] | We present brane constructions in Type IIA string theory for N=1 supersymmetric SO and Sp gauge theories with tensor representations using an orientifold 6-plane. One limit of these set-ups corresponds to N=2 theories previously constructed by Landsteiner and Lopez, while a different limit yields N=1 SO or Sp theories with a massless tensor and no superpotential. For the Sp-type orientifold projection comparison with the field theory moduli space leads us to postulate two new rules governing the stability of configurations of D-branes intersecting the orientifold. Lifting one of our configurations to M-theory by finding the corresponding curves, we re-derive the N=1 dualities for SO and Sp groups using semi-infinite D4 branes. |
hep-th/0604008 | Shijong Ryang | Shijong Ryang | The SU(1|2) and SU(2|2) Sectors from Superstrings in AdS5 x S5 | 17 pages, LaTeX, no figures | JHEP 0608:028,2006 | 10.1088/1126-6708/2006/08/028 | null | hep-th | null | For the \kappa-symmetry gauge fixed superstring action in AdS_5 x S^5 we
consider the fermionic fluctuations over a circular bosonic string background
with two angular momenta and two winding numbers in S^5. The SU(2)-type
redefinitions of fermionic fields and the first-string limit generate a
truncated fermionic action for the SU(1|2) sector. It is expressed in a
two-dimensional Lorentz-invariant form of a massive Dirac fermion and the
plane-wave spectrum for the fermionic excitations is derived. The fermionic
spectrum for the SU(2|2) sector is also analyzed.
| [
{
"created": "Mon, 3 Apr 2006 02:37:53 GMT",
"version": "v1"
}
] | 2010-02-03 | [
[
"Ryang",
"Shijong",
""
]
] | For the \kappa-symmetry gauge fixed superstring action in AdS_5 x S^5 we consider the fermionic fluctuations over a circular bosonic string background with two angular momenta and two winding numbers in S^5. The SU(2)-type redefinitions of fermionic fields and the first-string limit generate a truncated fermionic action for the SU(1|2) sector. It is expressed in a two-dimensional Lorentz-invariant form of a massive Dirac fermion and the plane-wave spectrum for the fermionic excitations is derived. The fermionic spectrum for the SU(2|2) sector is also analyzed. |
hep-th/0504143 | Juan Mateos Guilarte | A. Alonso Izquierdo, W. Garcia Fuertes, M. de la Torre Mayado, J.
Mateos Guilarte | Quantum oscillations of self-dual Abrikosov-Nielsen-Olesen vortices | RevTex, 13 pages, 4 figures, 7 tables. Minor corrections. Version to
appear in Physical Review D | Phys.Rev. D71 (2005) 125010 | 10.1103/PhysRevD.71.125010 | null | hep-th | null | The mass shift induced by one-loop quantum fluctuations on self-dual ANO
vortices is computed using heat kernel/generalized zeta function regularization
methods. The quantum masses of super-imposed multi-vortices with vorticity
lower than five are given. The case of two separate vortices with a quantum of
magnetic flux is also discussed.
| [
{
"created": "Mon, 18 Apr 2005 16:23:43 GMT",
"version": "v1"
},
{
"created": "Tue, 10 May 2005 17:14:00 GMT",
"version": "v2"
},
{
"created": "Mon, 13 Jun 2005 17:33:41 GMT",
"version": "v3"
}
] | 2015-06-26 | [
[
"Izquierdo",
"A. Alonso",
""
],
[
"Fuertes",
"W. Garcia",
""
],
[
"Mayado",
"M. de la Torre",
""
],
[
"Guilarte",
"J. Mateos",
""
]
] | The mass shift induced by one-loop quantum fluctuations on self-dual ANO vortices is computed using heat kernel/generalized zeta function regularization methods. The quantum masses of super-imposed multi-vortices with vorticity lower than five are given. The case of two separate vortices with a quantum of magnetic flux is also discussed. |
0905.0771 | Timothy J. Hollowood | Timothy J. Hollowood, Graham M. Shore and Ross J. Stanley | The Refractive Index of Curved Spacetime II: QED, Penrose Limits and
Black Holes | 62 pages, 14 figures, some signs corrected in formulae and graphs | JHEP 0908:089,2009 | 10.1088/1126-6708/2009/08/089 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This work considers the way that quantum loop effects modify the propagation
of light in curved space. The calculation of the refractive index for scalar
QED is reviewed and then extended for the first time to QED with spinor
particles in the loop. It is shown how, in both cases, the low frequency phase
velocity can be greater than c, as found originally by Drummond and Hathrell,
but causality is respected in the sense that retarded Green functions vanish
outside the lightcone. A "phenomenology" of the refractive index is then
presented for black holes, FRW universes and gravitational waves. In some
cases, some of the polarization states propagate with a refractive index having
a negative imaginary part indicating a potential breakdown of the optical
theorem in curved space and possible instabilities.
| [
{
"created": "Wed, 6 May 2009 08:14:08 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Nov 2011 15:35:04 GMT",
"version": "v2"
}
] | 2011-11-11 | [
[
"Hollowood",
"Timothy J.",
""
],
[
"Shore",
"Graham M.",
""
],
[
"Stanley",
"Ross J.",
""
]
] | This work considers the way that quantum loop effects modify the propagation of light in curved space. The calculation of the refractive index for scalar QED is reviewed and then extended for the first time to QED with spinor particles in the loop. It is shown how, in both cases, the low frequency phase velocity can be greater than c, as found originally by Drummond and Hathrell, but causality is respected in the sense that retarded Green functions vanish outside the lightcone. A "phenomenology" of the refractive index is then presented for black holes, FRW universes and gravitational waves. In some cases, some of the polarization states propagate with a refractive index having a negative imaginary part indicating a potential breakdown of the optical theorem in curved space and possible instabilities. |
hep-th/9808112 | Andrzej Z. Gorski | Andrzej Z. Gorski and Jacek Szmigielski | Representations of the Heisenberg algebra by difference operators | 10 pages, LaTeX+RevTeX | Acta Phys.Polon. B31 (2000) 789-799 | null | INP 8/98 | hep-th quant-ph | null | We construct a class of representations of the Heisenberg algebra in terms of
the complex shift operators subject to the proper continuous limit imposed by
the correspondence principle. We find a suitable Hilbert space formulation of
our construction for two types of shifts: (1) real shifts, (2) purely imaginary
shifts. The representations involving imaginary shifts are free of spectrum
doubling. We determine the corresponding coordinate and momentum operators
satisfying the canonical commutation relations. The eigenvalues of the
coordinate operator are in both cases discrete.
| [
{
"created": "Wed, 19 Aug 1998 11:00:38 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Gorski",
"Andrzej Z.",
""
],
[
"Szmigielski",
"Jacek",
""
]
] | We construct a class of representations of the Heisenberg algebra in terms of the complex shift operators subject to the proper continuous limit imposed by the correspondence principle. We find a suitable Hilbert space formulation of our construction for two types of shifts: (1) real shifts, (2) purely imaginary shifts. The representations involving imaginary shifts are free of spectrum doubling. We determine the corresponding coordinate and momentum operators satisfying the canonical commutation relations. The eigenvalues of the coordinate operator are in both cases discrete. |
2311.03451 | Faizan Bhat | Faizan Bhat, Debapriyo Chowdhury, Aninda Sinha, Shaswat Tiwari and
Ahmadullah Zahed | Bootstrapping High-Energy Observables | 38 pages, 25 figures, version accepted for publication in JHEP | null | null | null | hep-th hep-ex hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we set up the numerical S-matrix bootstrap by using the
crossing symmetric dispersion relation (CSDR) to write down Roy equations for
the partial waves. As a motivation behind examining the local version of the
CSDR, we derive a new, crossing symmetric, 3-channels-plus-contact-terms
representation of the Virasoro-Shapiro amplitude in string theory that
converges everywhere except at the poles. We then focus on gapped theories and
give novel analytic and semi-analytic derivations of several bounds on
low-energy data. We examine the high-energy behaviour of the experimentally
measurable rho-parameter, introduced by Khuri and Kinoshita and defined as the
ratio of the real to the imaginary part of the amplitude in the forward limit.
Contrary to expectations, we find numerical evidence that there could be
multiple changes in the sign of this ratio before it asymptotes at high
energies. We compare our approach with other existing numerical methods and
find agreement, with improvement in convergence.
| [
{
"created": "Mon, 6 Nov 2023 19:00:05 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Mar 2024 06:12:05 GMT",
"version": "v2"
}
] | 2024-03-20 | [
[
"Bhat",
"Faizan",
""
],
[
"Chowdhury",
"Debapriyo",
""
],
[
"Sinha",
"Aninda",
""
],
[
"Tiwari",
"Shaswat",
""
],
[
"Zahed",
"Ahmadullah",
""
]
] | In this paper, we set up the numerical S-matrix bootstrap by using the crossing symmetric dispersion relation (CSDR) to write down Roy equations for the partial waves. As a motivation behind examining the local version of the CSDR, we derive a new, crossing symmetric, 3-channels-plus-contact-terms representation of the Virasoro-Shapiro amplitude in string theory that converges everywhere except at the poles. We then focus on gapped theories and give novel analytic and semi-analytic derivations of several bounds on low-energy data. We examine the high-energy behaviour of the experimentally measurable rho-parameter, introduced by Khuri and Kinoshita and defined as the ratio of the real to the imaginary part of the amplitude in the forward limit. Contrary to expectations, we find numerical evidence that there could be multiple changes in the sign of this ratio before it asymptotes at high energies. We compare our approach with other existing numerical methods and find agreement, with improvement in convergence. |
1109.3880 | George Japaridze | Jambul Gegelia and George Japaridze | On renormalizability of the effective field theory of massive Yang-Mills
fields | 10 pages | Modern Physics Letters A, Vol. 27, No. 23, (2012) 1250128 | 10.1142/S0217732312501283 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Effective field theory of massive Yang-Mills fields interacting with fermions
is considered. Perturbative renormalizability in the sense of effective field
theory is shown. It is argued that the limit of vanishing vector boson mass
leads to massless gauge effective field theory. Possible relevance for the
solution to the strong CP problem is discussed.
| [
{
"created": "Sun, 18 Sep 2011 15:38:10 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Jul 2012 20:17:50 GMT",
"version": "v2"
}
] | 2012-08-02 | [
[
"Gegelia",
"Jambul",
""
],
[
"Japaridze",
"George",
""
]
] | Effective field theory of massive Yang-Mills fields interacting with fermions is considered. Perturbative renormalizability in the sense of effective field theory is shown. It is argued that the limit of vanishing vector boson mass leads to massless gauge effective field theory. Possible relevance for the solution to the strong CP problem is discussed. |
hep-th/0702095 | Dmitriy Pak | D.G. Pak | On P_T-distribution of gluon production rate in constant chromoelectric
field | 4 pages, no figures, minor corrections, one reference added | Mod.Phys.Lett.A22:2885-2891,2007 | 10.1142/S0217732307025911 | null | hep-th | null | A complete expression for the p_T-distribution of the gluon production rate
in the homogeneous chromoelectric field has been obtained. Our result contains
a new additional term proportional to the singular function \delta(p_T^2). We
demonstrate that the presence of this term is consistent with the dual symmetry
of QCD effective action and allows to reproduce the known result for the total
imaginary part of the effective action after integration over transverse
momentum.
| [
{
"created": "Tue, 13 Feb 2007 07:41:29 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Feb 2007 04:06:21 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Pak",
"D. G.",
""
]
] | A complete expression for the p_T-distribution of the gluon production rate in the homogeneous chromoelectric field has been obtained. Our result contains a new additional term proportional to the singular function \delta(p_T^2). We demonstrate that the presence of this term is consistent with the dual symmetry of QCD effective action and allows to reproduce the known result for the total imaginary part of the effective action after integration over transverse momentum. |
2210.14038 | Congkao Wen | Daniele Dorigoni, Michael B. Green, Congkao Wen, Haitian Xie | Modular-invariant large-$N$ completion of an integrated correlator in
$\mathcal{N}=4$ supersymmetric Yang-Mills theory | 25 + 15 pages; v2: minor changes, version published in JHEP | null | 10.1007/JHEP04(2023)114 | QMUL-PH-22-30 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The use of supersymmetric localisation has recently led to modular covariant
expressions for certain integrated correlators of half-BPS operators in
$\mathcal{N} = 4$ supersymmetric Yang-Mills theory with a general classical
gauge group $G_N$. Here we determine generating functions that encode such
integrated correlators for any classical gauge group and provide a proof of
previous conjectured formulae. This gives a systematic understanding of the
relation between properties of these correlators at finite $N$ and their
expansions at large $N$. In particular, it determines a duality-invariant
non-perturbative completion of the large-$N$ expansion in terms of a sum of
novel non-holomorphic modular functions. These functions are exponentially
suppressed at large $N$ and have the form of a sum of contributions from
coincident $(p, q)$-string world-sheet instantons.
| [
{
"created": "Tue, 25 Oct 2022 14:15:40 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Apr 2023 20:39:36 GMT",
"version": "v2"
}
] | 2023-05-10 | [
[
"Dorigoni",
"Daniele",
""
],
[
"Green",
"Michael B.",
""
],
[
"Wen",
"Congkao",
""
],
[
"Xie",
"Haitian",
""
]
] | The use of supersymmetric localisation has recently led to modular covariant expressions for certain integrated correlators of half-BPS operators in $\mathcal{N} = 4$ supersymmetric Yang-Mills theory with a general classical gauge group $G_N$. Here we determine generating functions that encode such integrated correlators for any classical gauge group and provide a proof of previous conjectured formulae. This gives a systematic understanding of the relation between properties of these correlators at finite $N$ and their expansions at large $N$. In particular, it determines a duality-invariant non-perturbative completion of the large-$N$ expansion in terms of a sum of novel non-holomorphic modular functions. These functions are exponentially suppressed at large $N$ and have the form of a sum of contributions from coincident $(p, q)$-string world-sheet instantons. |
hep-th/9803127 | Naoki Sasakura | Koji Hashimoto, Hiroyuki Hata and Naoki Sasakura (Kyoto Univ.) | 3-String Junction and BPS Saturated Solutions in SU(3) Supersymmetric
Yang-Mills Theory | 14 pages, LaTeX, three eps figures, typos corrected, a reference
added | Phys.Lett.B431:303-310,1998 | 10.1016/S0370-2693(98)00588-7 | KUNS-1499 | hep-th | null | We construct BPS saturated regular configurations of N=4 SU(3) supersymmetric
Yang-Mills theory carrying non-parallel electric and magnetic charges. These
field theory BPS states correspond to the string theory BPS states of 3-string
junctions connecting three different D3-branes by regarding the N=4
supersymmetric Yang-Mills theory as an effective field theory on parallel
D3-branes.
| [
{
"created": "Mon, 16 Mar 1998 08:00:56 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Apr 1998 03:23:48 GMT",
"version": "v2"
}
] | 2010-11-19 | [
[
"Hashimoto",
"Koji",
"",
"Kyoto Univ."
],
[
"Hata",
"Hiroyuki",
"",
"Kyoto Univ."
],
[
"Sasakura",
"Naoki",
"",
"Kyoto Univ."
]
] | We construct BPS saturated regular configurations of N=4 SU(3) supersymmetric Yang-Mills theory carrying non-parallel electric and magnetic charges. These field theory BPS states correspond to the string theory BPS states of 3-string junctions connecting three different D3-branes by regarding the N=4 supersymmetric Yang-Mills theory as an effective field theory on parallel D3-branes. |
hep-th/0012126 | Paulo Pitanga | P. Pitanga (Universidade Federal do Rio de Janeiro - UFRJ) | The Heavy Dirac Monopole | 4 pages, 6 eps figures, RevTeX. Submitted to Physical Review Letters | null | null | null | hep-th | null | We present a model for the Dirac magnetic monopole, suitable for the strong
coupling regime. The magnetic monopole is static, has charge g and mass M,
occupying a volume of radius R ~ O (g^2/M). It is shown that inside each
n-monopole there exist infinite multipoles. It is given an analytical proof of
the existence of monopole-antimonopole bound state. Theses bound-states might
give additional strong light to light scattering in the proton-antiproton
collision process at FermiLab TEVATRON.
| [
{
"created": "Thu, 14 Dec 2000 18:47:10 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Pitanga",
"P.",
"",
"Universidade Federal do Rio de Janeiro - UFRJ"
]
] | We present a model for the Dirac magnetic monopole, suitable for the strong coupling regime. The magnetic monopole is static, has charge g and mass M, occupying a volume of radius R ~ O (g^2/M). It is shown that inside each n-monopole there exist infinite multipoles. It is given an analytical proof of the existence of monopole-antimonopole bound state. Theses bound-states might give additional strong light to light scattering in the proton-antiproton collision process at FermiLab TEVATRON. |
hep-th/0205286 | Christoph Sieg | Harald Dorn and Christoph Sieg (Humboldt University of Berlin) | Some remarks on Feynman rules for non-commutative gauge theories based
on groups $G\neq U(N)$ | 20 pages, LaTeX, 5 figures | JHEP 0207 (2002) 018 | 10.1088/1126-6708/2002/07/018 | HU-Berlin-EP-02/21 | hep-th | null | We study for subgroups $G\subseteq U(N)$ partial summations of the
$\theta$-expanded perturbation theory. On diagrammatic level a summation
procedure is established, which in the U(N) case delivers the full star-product
induced rules. Thereby we uncover a cancellation mechanism between certain
diagrams, which is crucial in the U(N) case, but set out of work for $G\subset
U(N)$. In addition, an explicit proof is given that for $G\subset U(N), G\neq
U(M), M<N$ there is no partial summation of the $\theta $-expanded rules
resulting in new Feynman rules using the U(N) star-product vertices and besides
suitable modified propagators at most a $finite$ number of additional building
blocks. Finally, we show that certain SO(N) Feynman rules conjectured in the
literature cannot be derived from the enveloping algebra approach.
| [
{
"created": "Tue, 28 May 2002 16:44:33 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Dorn",
"Harald",
"",
"Humboldt University of Berlin"
],
[
"Sieg",
"Christoph",
"",
"Humboldt University of Berlin"
]
] | We study for subgroups $G\subseteq U(N)$ partial summations of the $\theta$-expanded perturbation theory. On diagrammatic level a summation procedure is established, which in the U(N) case delivers the full star-product induced rules. Thereby we uncover a cancellation mechanism between certain diagrams, which is crucial in the U(N) case, but set out of work for $G\subset U(N)$. In addition, an explicit proof is given that for $G\subset U(N), G\neq U(M), M<N$ there is no partial summation of the $\theta $-expanded rules resulting in new Feynman rules using the U(N) star-product vertices and besides suitable modified propagators at most a $finite$ number of additional building blocks. Finally, we show that certain SO(N) Feynman rules conjectured in the literature cannot be derived from the enveloping algebra approach. |
1103.0623 | Solange Odile Saliu | C. Bizdadea, E. M. Cioroianu, S. O. Saliu, E. M. Babalic | Dual linearized gravity in D=6 coupled to a purely spin-two field of
mixed symmetry (2,2) | 35 pages | Fortsch.Phys.58:341-363,2010 | 10.1002/prop.200900092 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Under the hypotheses of analyticity, locality, Lorentz covariance, and
Poincare invariance of the deformations, combined with the requirement that the
interaction vertices contain at most two spatiotemporal derivatives of the
fields, we investigate the consistent interactions between a single massless
tensor field with the mixed symmetry (3,1) and one massless tensor field with
the mixed symmetry (2,2). The computations are done with the help of the
deformation theory based on a cohomological approach, in the context of the
antifield-BRST formalism. Our result is that dual linearized gravity in D=6
gets coupled to a purely spin-two field with the mixed symmetry of the Riemann
tensor such that both the gauge transformations and first-order reducibility
relations in the (3,1) sector are changed, but not the gauge algebra.
| [
{
"created": "Thu, 3 Mar 2011 09:19:00 GMT",
"version": "v1"
}
] | 2011-03-31 | [
[
"Bizdadea",
"C.",
""
],
[
"Cioroianu",
"E. M.",
""
],
[
"Saliu",
"S. O.",
""
],
[
"Babalic",
"E. M.",
""
]
] | Under the hypotheses of analyticity, locality, Lorentz covariance, and Poincare invariance of the deformations, combined with the requirement that the interaction vertices contain at most two spatiotemporal derivatives of the fields, we investigate the consistent interactions between a single massless tensor field with the mixed symmetry (3,1) and one massless tensor field with the mixed symmetry (2,2). The computations are done with the help of the deformation theory based on a cohomological approach, in the context of the antifield-BRST formalism. Our result is that dual linearized gravity in D=6 gets coupled to a purely spin-two field with the mixed symmetry of the Riemann tensor such that both the gauge transformations and first-order reducibility relations in the (3,1) sector are changed, but not the gauge algebra. |
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