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/0306126 | Sebastien Reuillon | P\'eter Forg\'acs and S\'ebastien Reuillon | On the number of instabilities of cosmological solutions in an
Einstein-Yang-Mills system | minor corrections,to appear in Physics Letters B | Phys.Lett.B568:291-297,2003 | 10.1016/j.physletb.2003.06.061 | LMPT/03/05 | hep-th | null | A detailed numerical stability analysis of the static, spherically symmetric
globally regular solutions of the Einstein-Yang-Mills equations with a positive
cosmological constant, Lambda, is carried out. It is found that the number of
unstable modes in the even parity sector is n for solutions with n=1,2 nodes as
Lambda varies. The solution with n=3 nodes exhibits a rather surprising
behaviour in that the number of its unstable modes jumps from 3 to 1 as Lambda
crosses (from below) a critical value. In particular the topologically 3-sphere
type solution with n=3 nodes has only a single unstable mode.
| [
{
"created": "Fri, 13 Jun 2003 15:02:40 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Jul 2003 12:43:41 GMT",
"version": "v2"
}
] | 2016-08-16 | [
[
"Forgács",
"Péter",
""
],
[
"Reuillon",
"Sébastien",
""
]
] | A detailed numerical stability analysis of the static, spherically symmetric globally regular solutions of the Einstein-Yang-Mills equations with a positive cosmological constant, Lambda, is carried out. It is found that the number of unstable modes in the even parity sector is n for solutions with n=1,2 nodes as Lambda varies. The solution with n=3 nodes exhibits a rather surprising behaviour in that the number of its unstable modes jumps from 3 to 1 as Lambda crosses (from below) a critical value. In particular the topologically 3-sphere type solution with n=3 nodes has only a single unstable mode. |
0708.3094 | Horace Stoica | Horace Stoica | Brane Decay and Defect Formation | 4 pages, 3 figures. Contribution to the proceedings of PASCOS-07, 2-7
July 2007, Imperial College, London | AIPConf.Proc.957:353-356,2007 | 10.1063/1.2823800 | null | hep-th | null | Topological defects are generically expected to form in models of brane
inflation. Brane-anti-brane annihilation provides a way to gracefully end
inflation, and the dynamics of the tachyon field results in defect formation.
The formation of defects has been studied mainly from the brane world-volume
point of view, but the defects are themselves lower-dimensional branes, and as
a result they couple to bulk fields. To investigate the impact of bulk fields
on brane defect formation, we construct a toy model that captures the essential
features of the tachyon condensation with bulk fields. In this toy model, we
study the structure of defects and simulate their formation and evolution on a
lattice. We find that while bulk fields do not have a significant effect on
defect formation, they drastically influence the subsequent evolution of the
defects, as they re-introduce long-range interactions between them.
| [
{
"created": "Wed, 22 Aug 2007 21:35:11 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Aug 2007 09:47:19 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Stoica",
"Horace",
""
]
] | Topological defects are generically expected to form in models of brane inflation. Brane-anti-brane annihilation provides a way to gracefully end inflation, and the dynamics of the tachyon field results in defect formation. The formation of defects has been studied mainly from the brane world-volume point of view, but the defects are themselves lower-dimensional branes, and as a result they couple to bulk fields. To investigate the impact of bulk fields on brane defect formation, we construct a toy model that captures the essential features of the tachyon condensation with bulk fields. In this toy model, we study the structure of defects and simulate their formation and evolution on a lattice. We find that while bulk fields do not have a significant effect on defect formation, they drastically influence the subsequent evolution of the defects, as they re-introduce long-range interactions between them. |
2401.17362 | Liangdong Hu | Liangdong Hu, W. Zhu and Yin-Chen He | Entropic $F$-function of 3D Ising conformal field theory via the fuzzy
sphere regularization | 9 pages, 9 figures | null | null | null | hep-th cond-mat.stat-mech cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The $F$-function, the three-dimensional counterpart of the central charge in
the 2D conformal field theory, measures the effective number of degrees of
freedom in 3D quantum field theory, and it is monotonically decreasing under
the renormalization group flow. However, unlike the 2D central charge, the
$F$-function is a non-local quantity and cannot be computed using correlators
of local operators. Utilizing the recently proposed fuzzy sphere
regularization, we have performed the first non-perturbative computation of the
$F$-function for the paradigmatic 3D Ising conformal field theory through
entanglement entropy. Our estimate yields $F_{\text{Ising}} \approx 0.0612(5)$,
slightly smaller than the $F$-function of a real free scalar, $F_{\text{free}}
= \frac{\log 2}{8} - \frac{3\zeta(3)}{16\pi^2} \approx 0.0638$, consistent with
the $F$-theorem, and close to the $4-\epsilon$ expansion estimates of
$F_{\text{Ising}} \approx 0.0610 \sim 0.0623$.
| [
{
"created": "Tue, 30 Jan 2024 19:00:04 GMT",
"version": "v1"
}
] | 2024-02-01 | [
[
"Hu",
"Liangdong",
""
],
[
"Zhu",
"W.",
""
],
[
"He",
"Yin-Chen",
""
]
] | The $F$-function, the three-dimensional counterpart of the central charge in the 2D conformal field theory, measures the effective number of degrees of freedom in 3D quantum field theory, and it is monotonically decreasing under the renormalization group flow. However, unlike the 2D central charge, the $F$-function is a non-local quantity and cannot be computed using correlators of local operators. Utilizing the recently proposed fuzzy sphere regularization, we have performed the first non-perturbative computation of the $F$-function for the paradigmatic 3D Ising conformal field theory through entanglement entropy. Our estimate yields $F_{\text{Ising}} \approx 0.0612(5)$, slightly smaller than the $F$-function of a real free scalar, $F_{\text{free}} = \frac{\log 2}{8} - \frac{3\zeta(3)}{16\pi^2} \approx 0.0638$, consistent with the $F$-theorem, and close to the $4-\epsilon$ expansion estimates of $F_{\text{Ising}} \approx 0.0610 \sim 0.0623$. |
0907.3468 | Adam Rej | Adam Rej | Integrability and the AdS/CFT correspondence | v2: minor corrections, references added | J.Phys.A42:254002,2009 | 10.1088/1751-8113/42/25/254002 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this article we review the recently discovered asymptotic integrability in
the planar N = 4 SYM theory and discuss its breakdown beyond the asymptotic
region due to the wrapping interactions. We also discuss novel dynamical tests
of the AdS/CFT correspondence one can perform in the special cases when the
wrapping interactions may be neglected.
| [
{
"created": "Mon, 20 Jul 2009 19:43:40 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Nov 2009 20:17:27 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Rej",
"Adam",
""
]
] | In this article we review the recently discovered asymptotic integrability in the planar N = 4 SYM theory and discuss its breakdown beyond the asymptotic region due to the wrapping interactions. We also discuss novel dynamical tests of the AdS/CFT correspondence one can perform in the special cases when the wrapping interactions may be neglected. |
hep-th/0612077 | Adam Ritz | Adam Ritz | Superconformal R-charges and dyon multiplicities in N=2 gauge theories | 16 pages, 1 figure | Phys.Rev.D75:085008,2007 | 10.1103/PhysRevD.75.085008 | null | hep-th | null | N=(2,2) theories in 1+1D exhibit a direct correspondence between the
R-charges of chiral operators at a conformal point and the multiplicities of
BPS kinks in a massive deformation, as shown by Cecotti and Vafa. We obtain an
analogous relation in 3+1D for N=2 gauge theories that are massive
perturbations of Argyres-Douglas fixed points, utilizing the geometric
engineering approach to N=2 vacua within IIB string theory. In this case the
scaling dimensions of a certain subset of chiral operators at the UV fixed
point are related to the multiplicities of BPS dyons. When the Argyres-Douglas
SCFT is realized at the root of a baryonic Higgs branch, this translation from
1+1D to 3+1D can be understood physically from the relation between the bulk
dynamics and the N=(2,2) worldsheet dynamics of vortices in the baryonic Higgs
phase. Under a relevant perturbation, the BPS kink multiplicity on the vortex
worldsheet translates to that of the bulk dyonic states. The latter viewpoint
suggests the 3+1D version of the Cecotti-Vafa relation may hold more generally,
and simple tests provide evidence in favor of this for more generic choices of
the baryonic root.
| [
{
"created": "Mon, 11 Dec 2006 02:38:56 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Ritz",
"Adam",
""
]
] | N=(2,2) theories in 1+1D exhibit a direct correspondence between the R-charges of chiral operators at a conformal point and the multiplicities of BPS kinks in a massive deformation, as shown by Cecotti and Vafa. We obtain an analogous relation in 3+1D for N=2 gauge theories that are massive perturbations of Argyres-Douglas fixed points, utilizing the geometric engineering approach to N=2 vacua within IIB string theory. In this case the scaling dimensions of a certain subset of chiral operators at the UV fixed point are related to the multiplicities of BPS dyons. When the Argyres-Douglas SCFT is realized at the root of a baryonic Higgs branch, this translation from 1+1D to 3+1D can be understood physically from the relation between the bulk dynamics and the N=(2,2) worldsheet dynamics of vortices in the baryonic Higgs phase. Under a relevant perturbation, the BPS kink multiplicity on the vortex worldsheet translates to that of the bulk dyonic states. The latter viewpoint suggests the 3+1D version of the Cecotti-Vafa relation may hold more generally, and simple tests provide evidence in favor of this for more generic choices of the baryonic root. |
2107.06854 | Konstantinos Koutrolikos | I. L. Buchbinder, S. James Gates Jr., K. Koutrolikos | Superspace First Order Formalism, Trivial Symmetries and Electromagnetic
Interactions of Linearized Supergravity | null | null | 10.1007/JHEP09(2021)077 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce a first order description of linearized non-minimal ($n=-1$)
supergravity in superspace, using the unconstrained prepotential superfield
instead of the conventionally constrained super one forms. In this description,
after integrating out the connection-like auxiliary superfield of first-order
formalism, the superspace action is expressed in terms of a single superfield
which combines the prepotential and compensator superfields. We use this
description to construct the supersymmetric cubic interaction vertex
$3/2-3/2-1/2$ which describes the electromagnetic interaction between two
non-minimal supergravity multiplets (superspin $\textsf{Y}=3/2$ which contains
a spin 2 and a spin 3/2 particles) and a vector multiplet (superspin
$\textsf{Y}=1/2$ contains a spin 1 and a spin 1/2 particles). Exploring the
trivial symmetries emerging between the two $\textsf{Y}=3/2$ supermultiplets,
we show that this cubic vertex must depend on the vector multiplet superfield
strength. This result generalize previous results for non-supersymmetric
electromagnetic interactions of spin 2 particles. The constructed cubic
interaction generates non-trivial deformations of the gauge transformations.
| [
{
"created": "Wed, 14 Jul 2021 17:20:29 GMT",
"version": "v1"
},
{
"created": "Sun, 12 Sep 2021 13:27:39 GMT",
"version": "v2"
}
] | 2021-10-04 | [
[
"Buchbinder",
"I. L.",
""
],
[
"Gates",
"S. James",
"Jr."
],
[
"Koutrolikos",
"K.",
""
]
] | We introduce a first order description of linearized non-minimal ($n=-1$) supergravity in superspace, using the unconstrained prepotential superfield instead of the conventionally constrained super one forms. In this description, after integrating out the connection-like auxiliary superfield of first-order formalism, the superspace action is expressed in terms of a single superfield which combines the prepotential and compensator superfields. We use this description to construct the supersymmetric cubic interaction vertex $3/2-3/2-1/2$ which describes the electromagnetic interaction between two non-minimal supergravity multiplets (superspin $\textsf{Y}=3/2$ which contains a spin 2 and a spin 3/2 particles) and a vector multiplet (superspin $\textsf{Y}=1/2$ contains a spin 1 and a spin 1/2 particles). Exploring the trivial symmetries emerging between the two $\textsf{Y}=3/2$ supermultiplets, we show that this cubic vertex must depend on the vector multiplet superfield strength. This result generalize previous results for non-supersymmetric electromagnetic interactions of spin 2 particles. The constructed cubic interaction generates non-trivial deformations of the gauge transformations. |
2110.10160 | Kurt Hinterbichler | Kara Farnsworth, Kurt Hinterbichler, Ondrej Hulik | Scale vs. Conformal Invariance at the IR Fixed Point of Quantum Gravity | 11 pages. v2 typos fixed, version appearing in PRD | Phys. Rev. D 105, 066026 (2022) | 10.1103/PhysRevD.105.066026 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We examine the question of scale vs. conformal invariance for the linearized
Einstein-Hilbert action, which describes the IR fixed point of quantum gravity.
In $D = 4$, although the action is not conformally invariant in the usual
sense, we explicitly show that the theory is a conformal field theory at the
level of correlation functions. In higher dimensions, we show that the theory
is scale but not conformally invariant, but can be embedded into a larger
non-unitary conformal field theory, analogous to what has been found for
Maxwell theory in $D>4$. We give evidence that similar statements are true for
all free higher spin theories.
| [
{
"created": "Tue, 19 Oct 2021 18:00:00 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Apr 2022 18:36:13 GMT",
"version": "v2"
}
] | 2022-04-21 | [
[
"Farnsworth",
"Kara",
""
],
[
"Hinterbichler",
"Kurt",
""
],
[
"Hulik",
"Ondrej",
""
]
] | We examine the question of scale vs. conformal invariance for the linearized Einstein-Hilbert action, which describes the IR fixed point of quantum gravity. In $D = 4$, although the action is not conformally invariant in the usual sense, we explicitly show that the theory is a conformal field theory at the level of correlation functions. In higher dimensions, we show that the theory is scale but not conformally invariant, but can be embedded into a larger non-unitary conformal field theory, analogous to what has been found for Maxwell theory in $D>4$. We give evidence that similar statements are true for all free higher spin theories. |
1805.06321 | Guilherme Franzmann | Robert Brandenberger, Renato Costa, Guilherme Franzmann, Amanda
Weltman | Dual Space-Time and Nonsingular String Cosmology | 7 pages, 3 figures. arXiv admin note: text overlap with
arXiv:1710.02412 | Phys. Rev. D 98, 063521 (2018) | 10.1103/PhysRevD.98.063521 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Making use of the T-duality symmetry of superstring theory, and of the double
geometry from Double Field Theory, we argue that cosmological singularities of
a homogeneous and isotropic universe disappear. In fact, an apparent big bang
singularity in Einstein gravity corresponds to a universe expanding to infinite
size in the dual dimensions.
| [
{
"created": "Tue, 15 May 2018 13:25:34 GMT",
"version": "v1"
}
] | 2018-09-26 | [
[
"Brandenberger",
"Robert",
""
],
[
"Costa",
"Renato",
""
],
[
"Franzmann",
"Guilherme",
""
],
[
"Weltman",
"Amanda",
""
]
] | Making use of the T-duality symmetry of superstring theory, and of the double geometry from Double Field Theory, we argue that cosmological singularities of a homogeneous and isotropic universe disappear. In fact, an apparent big bang singularity in Einstein gravity corresponds to a universe expanding to infinite size in the dual dimensions. |
hep-th/0402123 | Rudra Prakash Malik | R. P. Malik (Bose National Centre) | Nilpotent Symmetries For A Free Relativistic Particle In Augmented
Superfield Formalism | LaTeX file, 12 pages, version appeared in MPLA, correct page numbers
of the printed version are given | Mod.Phys.Lett.A20:1767-1779,2005 | 10.1142/S0217732305017500 | null | hep-th | null | In the framework of the augmented superfield formalism, the local, covariant,
continuous and off-shell (as well as on-shell) nilpotent (anti-)BRST symmetry
transformations are derived for a $(0 + 1)$-dimensional free scalar
relativistic particle that provides a prototype physical example for the more
general reparametrization invariant string- and gravitational theories. The
trajectory (i.e. the world-line) of the free particle, parametrized by a
monotonically increasing evolution parameter $\tau$, is embedded in a
$D$-dimensional flat Minkowski target manifold. This one-dimensional system is
considered on a $(1 + 2)$-dimensional supermanifold parametrized by an even
element $\tau$ and a couple of odd elements ($\theta$ and $\bar\theta$) of a
Grassmannian algebra. The horizontality condition and the invariance of the
conserved (super)charges on the (super)manifolds play very crucial roles in the
above derivations of the nilpotent symmetries. The geometrical interpretations
for the nilpotent (anti-)BRST charges are provided in the framework of
augmented superfield approach.
| [
{
"created": "Tue, 17 Feb 2004 02:02:43 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Feb 2004 12:23:35 GMT",
"version": "v2"
},
{
"created": "Tue, 18 Jan 2005 06:55:20 GMT",
"version": "v3"
},
{
"created": "Thu, 14 Jul 2005 08:17:32 GMT",
"version": "v4"
},
{
"c... | 2010-11-05 | [
[
"Malik",
"R. P.",
"",
"Bose National Centre"
]
] | In the framework of the augmented superfield formalism, the local, covariant, continuous and off-shell (as well as on-shell) nilpotent (anti-)BRST symmetry transformations are derived for a $(0 + 1)$-dimensional free scalar relativistic particle that provides a prototype physical example for the more general reparametrization invariant string- and gravitational theories. The trajectory (i.e. the world-line) of the free particle, parametrized by a monotonically increasing evolution parameter $\tau$, is embedded in a $D$-dimensional flat Minkowski target manifold. This one-dimensional system is considered on a $(1 + 2)$-dimensional supermanifold parametrized by an even element $\tau$ and a couple of odd elements ($\theta$ and $\bar\theta$) of a Grassmannian algebra. The horizontality condition and the invariance of the conserved (super)charges on the (super)manifolds play very crucial roles in the above derivations of the nilpotent symmetries. The geometrical interpretations for the nilpotent (anti-)BRST charges are provided in the framework of augmented superfield approach. |
hep-th/0502049 | Ken Intriligator | Edwin Barnes, Ken Intriligator, Brian Wecht, and Jason Wright | N=1 RG Flows, Product Groups, and a-Maximization | 36 pages, 8 figures | Nucl.Phys.B716:33-64,2005 | 10.1016/j.nuclphysb.2005.03.006 | UCSD-PTH-04-10, MIT-CTP-3596 | hep-th | null | We explore new IR phenomena and dualities, arising for product groups, in the
context of N=1 supersymmetric gauge theories. The RG running of the multiple
couplings can radically affect each other. For example, an otherwise IR
interacting coupling can be driven to be instead IR free by an arbitrarily
small, but non-zero, initial value of another coupling. Or an otherwise IR free
coupling can be driven to be instead IR interacting by an arbitrarily small
non-zero initial value of another coupling. We explore these and other
phenomena in N=1 examples, where exact results can be obtained using
a-maximization. We also explore the various possible dual gauge theories, e.g.
by dualizing one gauge group with the other treated as a weakly gauged flavor
symmetry, along with previously proposed duals for the theories deformed by
A_k-type Landau-Ginzburg superpotentials. We note that this latter duality, and
all similar duality examples, always have non-empty superconformal windows,
within which both the electric and dual A_k superpotentials are relevant.
| [
{
"created": "Thu, 3 Feb 2005 22:16:41 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Barnes",
"Edwin",
""
],
[
"Intriligator",
"Ken",
""
],
[
"Wecht",
"Brian",
""
],
[
"Wright",
"Jason",
""
]
] | We explore new IR phenomena and dualities, arising for product groups, in the context of N=1 supersymmetric gauge theories. The RG running of the multiple couplings can radically affect each other. For example, an otherwise IR interacting coupling can be driven to be instead IR free by an arbitrarily small, but non-zero, initial value of another coupling. Or an otherwise IR free coupling can be driven to be instead IR interacting by an arbitrarily small non-zero initial value of another coupling. We explore these and other phenomena in N=1 examples, where exact results can be obtained using a-maximization. We also explore the various possible dual gauge theories, e.g. by dualizing one gauge group with the other treated as a weakly gauged flavor symmetry, along with previously proposed duals for the theories deformed by A_k-type Landau-Ginzburg superpotentials. We note that this latter duality, and all similar duality examples, always have non-empty superconformal windows, within which both the electric and dual A_k superpotentials are relevant. |
2106.04592 | Andreas Schachner | Michele Cicoli, Fernando Quevedo, Raffaele Savelli, Andreas Schachner,
Roberto Valandro | Systematics of the $\alpha'$ Expansion in F-Theory | 36 pages plus appendices, 4 figures | null | 10.1007/JHEP08(2021)099 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Extracting reliable low-energy information from string compactifications
notoriously requires a detailed understanding of the UV sensitivity of the
corresponding effective field theories. Despite past efforts in computing
perturbative string corrections to the tree-level action, neither a systematic
approach nor a unified framework has emerged yet. We make progress in this
direction, focusing on the moduli dependence of perturbative corrections to the
4D scalar potential of type IIB Calabi-Yau orientifold compactifications. We
proceed by employing two strategies. First, we use two rescaling symmetries of
type IIB string theory to infer the dependence of any perturbative correction
on both the dilaton and the Calabi-Yau volume. Second, we use F/M-theory
duality to conclude that KK reductions on elliptically-fibred Calabi-Yau
fourfolds of the M-theory action at any order in the derivative expansion can
only generate $(\alpha')^{\rm even}$ corrections to the 4D scalar potential,
which, moreover, all vanish for trivial fibrations. We finally give evidence
that $(\alpha')^{\rm odd}$ effects arise from integrating out KK and winding
modes on the elliptic fibration and argue that the leading no-scale breaking
effects at string tree-level arise from $(\alpha')^3$ effects, modulo potential
logarithmic corrections.
| [
{
"created": "Tue, 8 Jun 2021 18:00:01 GMT",
"version": "v1"
}
] | 2021-09-15 | [
[
"Cicoli",
"Michele",
""
],
[
"Quevedo",
"Fernando",
""
],
[
"Savelli",
"Raffaele",
""
],
[
"Schachner",
"Andreas",
""
],
[
"Valandro",
"Roberto",
""
]
] | Extracting reliable low-energy information from string compactifications notoriously requires a detailed understanding of the UV sensitivity of the corresponding effective field theories. Despite past efforts in computing perturbative string corrections to the tree-level action, neither a systematic approach nor a unified framework has emerged yet. We make progress in this direction, focusing on the moduli dependence of perturbative corrections to the 4D scalar potential of type IIB Calabi-Yau orientifold compactifications. We proceed by employing two strategies. First, we use two rescaling symmetries of type IIB string theory to infer the dependence of any perturbative correction on both the dilaton and the Calabi-Yau volume. Second, we use F/M-theory duality to conclude that KK reductions on elliptically-fibred Calabi-Yau fourfolds of the M-theory action at any order in the derivative expansion can only generate $(\alpha')^{\rm even}$ corrections to the 4D scalar potential, which, moreover, all vanish for trivial fibrations. We finally give evidence that $(\alpha')^{\rm odd}$ effects arise from integrating out KK and winding modes on the elliptic fibration and argue that the leading no-scale breaking effects at string tree-level arise from $(\alpha')^3$ effects, modulo potential logarithmic corrections. |
2110.03188 | Krishan Saraswat | Krishan Saraswat and Niayesh Afshordi | Spacing Statistics of Energy Spectra: Random Matrices, Black Hole
Thermalization, and Echoes | 60 pages, 22 figures, consistent with published JHEP version | J. High Energ. Phys. 2022, 17 (2022) | 10.1007/JHEP04(2022)017 | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recent advances in AdS/CFT holography have suggested that the near-horizon
dynamics of black holes can be described by random matrix systems. We study how
the energy spectrum of a system with a generic random Hamiltonian matrix
affects its early and late time thermalization behaviour using the spectral
form factor (which captures the time-dependence of two-point correlation
functions). We introduce a simple statistical framework for generating random
spectra in terms of the nearest neighbor spacing statistics of energy
eigenvalues, enabling us to compute the averaged spectral form factor in a
closed form. This helps to easily illustrate how the spectral form factor
changes with different choices of nearest neighbor statistics ranging from the
Poisson to Wigner surmise statistics. We suggest that it is possible to have
late time oscillations in random matrix models involving $\beta$-ensembles
(generalizing classical Gaussian ensembles). We also study the form factor of
randomly coupled oscillator systems and show that at weak coupling, such
systems exhibit regular decaying oscillations in the spectral form factor
making them interesting toy models for gravitational wave echoes. We speculate
on the holographic interpretation of a system of coupled oscillators, and
suggest that they describe the thermalization behaviour of a black hole
geometry with a membrane that cuts off the geometry at the stretched horizon.
| [
{
"created": "Thu, 7 Oct 2021 05:27:02 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Dec 2021 08:03:37 GMT",
"version": "v2"
},
{
"created": "Sat, 9 Apr 2022 02:52:54 GMT",
"version": "v3"
}
] | 2022-04-12 | [
[
"Saraswat",
"Krishan",
""
],
[
"Afshordi",
"Niayesh",
""
]
] | Recent advances in AdS/CFT holography have suggested that the near-horizon dynamics of black holes can be described by random matrix systems. We study how the energy spectrum of a system with a generic random Hamiltonian matrix affects its early and late time thermalization behaviour using the spectral form factor (which captures the time-dependence of two-point correlation functions). We introduce a simple statistical framework for generating random spectra in terms of the nearest neighbor spacing statistics of energy eigenvalues, enabling us to compute the averaged spectral form factor in a closed form. This helps to easily illustrate how the spectral form factor changes with different choices of nearest neighbor statistics ranging from the Poisson to Wigner surmise statistics. We suggest that it is possible to have late time oscillations in random matrix models involving $\beta$-ensembles (generalizing classical Gaussian ensembles). We also study the form factor of randomly coupled oscillator systems and show that at weak coupling, such systems exhibit regular decaying oscillations in the spectral form factor making them interesting toy models for gravitational wave echoes. We speculate on the holographic interpretation of a system of coupled oscillators, and suggest that they describe the thermalization behaviour of a black hole geometry with a membrane that cuts off the geometry at the stretched horizon. |
hep-th/9305034 | Naoki Sasakura | Naoki Sasakura | Lattice Topological Field Theory and First Order Phase Transition | 7 pp., UT-642 | Phys.Lett. B316 (1993) 329-332 | 10.1016/0370-2693(93)90333-D | null | hep-th | null | Carrying out perturbations around a lattice topological field theory in two
dimensions, we show that it is on a first order phase transition fixed point
with multiplicity ${n(n-1)/2}$, where $n$ is the number of its independent
physical observables. We discuss about the order parameters and the finite size
effect for the free energy. The finite size effect is described by the
topological field theory. We investigate also the renormalization group flow
near the fixed point, and show that the flow agrees with that of the
Nienhuis-Nauenberg criterion.
| [
{
"created": "Mon, 10 May 1993 08:59:35 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Sasakura",
"Naoki",
""
]
] | Carrying out perturbations around a lattice topological field theory in two dimensions, we show that it is on a first order phase transition fixed point with multiplicity ${n(n-1)/2}$, where $n$ is the number of its independent physical observables. We discuss about the order parameters and the finite size effect for the free energy. The finite size effect is described by the topological field theory. We investigate also the renormalization group flow near the fixed point, and show that the flow agrees with that of the Nienhuis-Nauenberg criterion. |
hep-th/9307150 | Andrzej Sitarz | Andrzej Sitarz | Metric On Quantum Spaes | 7 pages (LaTeX), preprint TPJU 14/93 | null | 10.1007/BF00751169 | null | hep-th | null | We introduce the analogue of the metric tensor in case of $q$-deformed
differential calculus. We analyse the consequences of the existence of such
metric, showing that this enforces severe restrictions on the parameters of the
theory. We discuss in detail the examples of the Manin plane and the
$q$-deformation of $SU(2)$. Finally we touch the topic of relations with the
Connes' approach.
| [
{
"created": "Sun, 25 Jul 1993 13:01:35 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Sitarz",
"Andrzej",
""
]
] | We introduce the analogue of the metric tensor in case of $q$-deformed differential calculus. We analyse the consequences of the existence of such metric, showing that this enforces severe restrictions on the parameters of the theory. We discuss in detail the examples of the Manin plane and the $q$-deformation of $SU(2)$. Finally we touch the topic of relations with the Connes' approach. |
hep-th/0310187 | Mario Trigiante | M. de Roo, S. Panda, M. Trigiante, D. B. Westra | Potential and mass-matrix in gauged N=4 supergravity | 28 pages, LaTeX | JHEP 0311:022,2003 | 10.1088/1126-6708/2003/11/022 | UG-03/06, MRI-P-031001, SPIN-03/36, ITP-UU-03/55 | hep-th | null | We discuss the potential and mass-matrix of gauged N=4 matter coupled
supergravity for the case of six matter multiplets, extending previous work by
considering the dependence on all scalars. We consider all semi-simple gauge
groups and analyse the potential and its first and second derivatives in the
origin of the scalar manifold. Although we find in a number of cases an
extremum with a positive cosmological constant, these are not stable under
fluctuations of all scalar fields.
| [
{
"created": "Mon, 20 Oct 2003 15:49:21 GMT",
"version": "v1"
}
] | 2010-02-03 | [
[
"de Roo",
"M.",
""
],
[
"Panda",
"S.",
""
],
[
"Trigiante",
"M.",
""
],
[
"Westra",
"D. B.",
""
]
] | We discuss the potential and mass-matrix of gauged N=4 matter coupled supergravity for the case of six matter multiplets, extending previous work by considering the dependence on all scalars. We consider all semi-simple gauge groups and analyse the potential and its first and second derivatives in the origin of the scalar manifold. Although we find in a number of cases an extremum with a positive cosmological constant, these are not stable under fluctuations of all scalar fields. |
hep-th/0101063 | Arno Bohm | A.Bohm, H.Kaldass, S.Wickramasekara | Relativistic Gamow Vectors I Derivation from Poles of the S-Matrix | 40 pages, 3 figures | null | null | null | hep-th math-ph math.MP quant-ph | null | A state vector description for relativistic resonances is derived from the
first order pole of the $j$-th partial $S$-matrix at the invariant square mass
value $\sm_R=(m-i\Gamma/2)^2$ in the second sheet of the Riemann energy
surface. To associate a ket, called Gamow vector, to the pole, we use the
generalized eigenvectors of the four-velocity operators in place of the
customary momentum eigenkets of Wigner, and we replace the conventional Hilbert
space assumptions for the in- and out-scattering states with the new hypothesis
that in- and out-states are described by two different Hardy spaces with
complementary analyticity properties. The Gamow vectors have the following
properties:
- They are simultaneous generalized eigenvectors of the four velocity
operators with real eigenvalues and of the self-adjoint invariant mass operator
$M=(P_\mu P^\mu)^{1/2}$ with complex eigenvalue $\sqrt{\sm_R}$.
- They have a Breit-Wigner distribution in the invariant square mass variable
$\sm$ and lead to an exactly exponential law for the decay rates and
probabilities.
| [
{
"created": "Thu, 11 Jan 2001 00:14:13 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Bohm",
"A.",
""
],
[
"Kaldass",
"H.",
""
],
[
"Wickramasekara",
"S.",
""
]
] | A state vector description for relativistic resonances is derived from the first order pole of the $j$-th partial $S$-matrix at the invariant square mass value $\sm_R=(m-i\Gamma/2)^2$ in the second sheet of the Riemann energy surface. To associate a ket, called Gamow vector, to the pole, we use the generalized eigenvectors of the four-velocity operators in place of the customary momentum eigenkets of Wigner, and we replace the conventional Hilbert space assumptions for the in- and out-scattering states with the new hypothesis that in- and out-states are described by two different Hardy spaces with complementary analyticity properties. The Gamow vectors have the following properties: - They are simultaneous generalized eigenvectors of the four velocity operators with real eigenvalues and of the self-adjoint invariant mass operator $M=(P_\mu P^\mu)^{1/2}$ with complex eigenvalue $\sqrt{\sm_R}$. - They have a Breit-Wigner distribution in the invariant square mass variable $\sm$ and lead to an exactly exponential law for the decay rates and probabilities. |
2302.04697 | Shota Fujiwara | Shota Fujiwara | Schur-like index of the Klebanov-Witten theory via the AdS/CFT
correspondence | 15 pages, 1 figure | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We calculate an unrefined limit of the superconformal index (the Schur-like
index) of the Klebanov-Witten theory from the dual AdS side by using the
recently developed giant graviton expansion method. Our formula includes
multiple sums of the contribution of the D3-branes wrapped on three-cycles in
the internal space. We numerically confirm the validity of our formula by
comparing indices obtained by the formula with the gauge theory results.
| [
{
"created": "Thu, 9 Feb 2023 15:32:19 GMT",
"version": "v1"
}
] | 2023-02-10 | [
[
"Fujiwara",
"Shota",
""
]
] | We calculate an unrefined limit of the superconformal index (the Schur-like index) of the Klebanov-Witten theory from the dual AdS side by using the recently developed giant graviton expansion method. Our formula includes multiple sums of the contribution of the D3-branes wrapped on three-cycles in the internal space. We numerically confirm the validity of our formula by comparing indices obtained by the formula with the gauge theory results. |
hep-th/9904177 | Nathan F. Lepora | Nathan F. Lepora and T. W. B. Kibble | Classifying Vortex Solutions to Gauge Theories | 26 Pages. Latex. To be published in Phys. Rev. D | Phys.Rev. D59 (1999) 125019 | 10.1103/PhysRevD.59.125019 | Imperial/TP/97-98/48 | hep-th hep-ph | null | We classify the spectrum, family structure and stability of Nielsen-Olesen
vortices embedded in a larger gauge group when the vacuum manifold is related
to a symmetric space.
| [
{
"created": "Mon, 26 Apr 1999 16:13:50 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Lepora",
"Nathan F.",
""
],
[
"Kibble",
"T. W. B.",
""
]
] | We classify the spectrum, family structure and stability of Nielsen-Olesen vortices embedded in a larger gauge group when the vacuum manifold is related to a symmetric space. |
hep-th/9901103 | Thomas E. Clark | T.E. Clark and S.T. Love | The Effective K\"ahler Potential And Extra Space-Time Dimensions | 16 pages, LaTeX, 3 Postscript figures | Phys. Rev. D 60, 025005 (1999) | 10.1103/PhysRevD.60.025005 | null | hep-th | null | The effects of extra space-time dimensions on the Wilsonian effective
K\"ahler potential and the perturbative one loop effective K\"ahler potential
are determined within the framework of an Abelian gauge theory with N=2
supersymmetric field content. The relation between the K\"ahler metric and the
effective gauge couplings which leads to the absence of radiative corrections
to the K\"ahler potential is expressed as a function of the radius of
compactification of a fifth dimension. In general, the quantum corrections to
the low energy K\"ahler potential are shown to grow with this radius reflecting
the underlying higher dimensional nature of the theory.
| [
{
"created": "Thu, 21 Jan 1999 21:01:07 GMT",
"version": "v1"
}
] | 2016-08-25 | [
[
"Clark",
"T. E.",
""
],
[
"Love",
"S. T.",
""
]
] | The effects of extra space-time dimensions on the Wilsonian effective K\"ahler potential and the perturbative one loop effective K\"ahler potential are determined within the framework of an Abelian gauge theory with N=2 supersymmetric field content. The relation between the K\"ahler metric and the effective gauge couplings which leads to the absence of radiative corrections to the K\"ahler potential is expressed as a function of the radius of compactification of a fifth dimension. In general, the quantum corrections to the low energy K\"ahler potential are shown to grow with this radius reflecting the underlying higher dimensional nature of the theory. |
1305.3373 | Balazs Pozsgay | B. Pozsgay | Form factor approach to diagonal finite volume matrix elements in
Integrable QFT | 29 pages | null | 10.1007/JHEP07(2013)157 | null | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive an exact formula for finite volume excited state mean values of
local operators in 1+1 dimensional Integrable QFT with diagonal scattering. Our
result is a non-trivial generalization of the LeClair-Mussardo series, which is
a form factor expansion for finite size ground state mean values.
| [
{
"created": "Wed, 15 May 2013 07:07:59 GMT",
"version": "v1"
}
] | 2015-06-15 | [
[
"Pozsgay",
"B.",
""
]
] | We derive an exact formula for finite volume excited state mean values of local operators in 1+1 dimensional Integrable QFT with diagonal scattering. Our result is a non-trivial generalization of the LeClair-Mussardo series, which is a form factor expansion for finite size ground state mean values. |
hep-th/9709117 | John F. Beacom | J. F. Beacom (Univ. of Wisconsin and Caltech), A. B. Balantekin (Univ.
of Wisconsin) | A Semiclassical Approach to Level Crossing in Supersymmetric Quantum
Mechanics | 15 pages, Latex with lamuphys and psfig macros. Talk by first Author
at the UIC "Supersymmetry and Integrable Models Workshop", Chicago, June
12-14, 1997; proceedings to be published in Springer Lecture Notes in
Physics, H. Aratyn et al., eds. This paper also available at
http://nucth.physics.wisc.edu/preprints | null | 10.1007/BFb0105326 | MAD-NT-97-06 | hep-th hep-ph | null | Much use has been made of the techniques of supersymmetric quantum mechanics
(SUSY QM) for studying bound-state problems characterized by a superpotential
$\phi(x)$. Under the analytic continuation $\phi(x) \to i\phi(x)$, a pair of
superpartner bound-state problems is transformed into a two-state
level-crossing problem in the continuum. The description of matter-enhanced
neutrino flavor oscillations involves a level-crossing problem. We treat this
with the techniques of supersymmetric quantum mechanics. For the benefit of
those not familiar with neutrino oscillations and their description, enough
details are given to make the rest of the paper understandable. Many other
level-crossing problems in physics are of exactly the same form. Particular
attention is given to the fact that different semiclassical techniques yield
different results. The best result is obtained with a uniform approximation
that explicitly recognizes the supersymmetric nature of the system.
| [
{
"created": "Tue, 16 Sep 1997 18:45:45 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Beacom",
"J. F.",
"",
"Univ. of Wisconsin and Caltech"
],
[
"Balantekin",
"A. B.",
"",
"Univ.\n of Wisconsin"
]
] | Much use has been made of the techniques of supersymmetric quantum mechanics (SUSY QM) for studying bound-state problems characterized by a superpotential $\phi(x)$. Under the analytic continuation $\phi(x) \to i\phi(x)$, a pair of superpartner bound-state problems is transformed into a two-state level-crossing problem in the continuum. The description of matter-enhanced neutrino flavor oscillations involves a level-crossing problem. We treat this with the techniques of supersymmetric quantum mechanics. For the benefit of those not familiar with neutrino oscillations and their description, enough details are given to make the rest of the paper understandable. Many other level-crossing problems in physics are of exactly the same form. Particular attention is given to the fact that different semiclassical techniques yield different results. The best result is obtained with a uniform approximation that explicitly recognizes the supersymmetric nature of the system. |
1312.7874 | Blaise Gout\'eraux | Marco M. Caldarelli, Joan Camps, Blaise Gout\'eraux and Kostas
Skenderis | AdS/Ricci-flat correspondence | v3: Minor edits, references added, matches published version | JHEP 04(2014)071 | 10.1007/JHEP04(2014)071 | NORDITA-2013-118 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a comprehensive analysis of the AdS/Ricci-flat correspondence, a
map between a class of asymptotically locally AdS spacetimes and a class of
Ricci-flat spacetimes. We provide a detailed derivation of the map, discuss a
number of extensions and apply it to a number of important examples, such as
AdS on a torus, AdS black branes and fluids/gravity metrics. In particular, the
correspondence links the hydrodynamic regime of asymptotically flat black
$p$-branes or the Rindler fluid with that of AdS. It implies that this class of
Ricci-flat spacetimes inherits from AdS a generalized conformal symmetry and
has a holographic structure. We initiate the discussion of holography by
analyzing how the map acts on boundary conditions and holographic 2-point
functions.
| [
{
"created": "Mon, 30 Dec 2013 20:56:50 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Jan 2014 20:55:05 GMT",
"version": "v2"
},
{
"created": "Fri, 18 Apr 2014 13:47:47 GMT",
"version": "v3"
}
] | 2014-04-21 | [
[
"Caldarelli",
"Marco M.",
""
],
[
"Camps",
"Joan",
""
],
[
"Goutéraux",
"Blaise",
""
],
[
"Skenderis",
"Kostas",
""
]
] | We present a comprehensive analysis of the AdS/Ricci-flat correspondence, a map between a class of asymptotically locally AdS spacetimes and a class of Ricci-flat spacetimes. We provide a detailed derivation of the map, discuss a number of extensions and apply it to a number of important examples, such as AdS on a torus, AdS black branes and fluids/gravity metrics. In particular, the correspondence links the hydrodynamic regime of asymptotically flat black $p$-branes or the Rindler fluid with that of AdS. It implies that this class of Ricci-flat spacetimes inherits from AdS a generalized conformal symmetry and has a holographic structure. We initiate the discussion of holography by analyzing how the map acts on boundary conditions and holographic 2-point functions. |
hep-th/9512188 | Mirjam Cvetic | Kwan-Leung Chan, Mirjam Cvetic (University of Pennsylvania) | Massless BPS-Saturated States on the Two-Torus Moduli Sub-Space of
Heterotic String | 7 pages, uses RevTeX (minor typos corrected, to appear in Phys. Lett.
B) | Phys.Lett.B375:98-102,1996 | 10.1016/0370-2693(96)00212-2 | IASSNS-HEP-95/117, UPR-687-T | hep-th | null | Within a four-dimensional, toroidally compactified heterotic string, we
identify (quantized) charge vectors of electrically charged BPS-saturated
states (along with the tower of SL(2,Z) related dyonic states), which preserve
1/2 of N=4 supersymmetry and become massless along the hyper-surfaces of
enhanced gauge symmetry of the two-torus moduli sub-space. In addition, we
identify charge vectors of the dyonic BPS-saturated states (along with the
tower of SL(2,Z) related states), which preserve 1/4 of N=4 supersymmetry, and
become massless at two points with the maximal gauge symmetry enhancement.
| [
{
"created": "Fri, 22 Dec 1995 15:21:30 GMT",
"version": "v1"
},
{
"created": "Sat, 23 Dec 1995 22:21:50 GMT",
"version": "v2"
},
{
"created": "Thu, 29 Feb 1996 21:31:23 GMT",
"version": "v3"
}
] | 2009-09-17 | [
[
"Chan",
"Kwan-Leung",
"",
"University of Pennsylvania"
],
[
"Cvetic",
"Mirjam",
"",
"University of Pennsylvania"
]
] | Within a four-dimensional, toroidally compactified heterotic string, we identify (quantized) charge vectors of electrically charged BPS-saturated states (along with the tower of SL(2,Z) related dyonic states), which preserve 1/2 of N=4 supersymmetry and become massless along the hyper-surfaces of enhanced gauge symmetry of the two-torus moduli sub-space. In addition, we identify charge vectors of the dyonic BPS-saturated states (along with the tower of SL(2,Z) related states), which preserve 1/4 of N=4 supersymmetry, and become massless at two points with the maximal gauge symmetry enhancement. |
1507.01869 | Chris White | A. Luna, R. Monteiro, D. O'Connell and C. D. White | The classical double copy for Taub-NUT spacetime | 13 pages, no figures. Minor edits to match journal version | null | 10.1016/j.physletb.2015.09.021 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The double copy is a much-studied relationship between gauge theory and
gravity amplitudes. Recently, this was generalised to an infinite family of
classical solutions to Einstein's equations, namely stationary Kerr-Schild
geometries. In this paper, we extend this to the Taub-NUT solution in gravity,
which has a double Kerr-Schild form. The single copy of this solution is a
dyon, whose electric and magnetic charges are related to the mass and NUT
charge in the gravity theory. Finally, we find hints that the classical double
copy extends to curved background geometries.
| [
{
"created": "Tue, 7 Jul 2015 16:52:53 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Dec 2015 17:15:00 GMT",
"version": "v2"
}
] | 2015-12-09 | [
[
"Luna",
"A.",
""
],
[
"Monteiro",
"R.",
""
],
[
"O'Connell",
"D.",
""
],
[
"White",
"C. D.",
""
]
] | The double copy is a much-studied relationship between gauge theory and gravity amplitudes. Recently, this was generalised to an infinite family of classical solutions to Einstein's equations, namely stationary Kerr-Schild geometries. In this paper, we extend this to the Taub-NUT solution in gravity, which has a double Kerr-Schild form. The single copy of this solution is a dyon, whose electric and magnetic charges are related to the mass and NUT charge in the gravity theory. Finally, we find hints that the classical double copy extends to curved background geometries. |
1004.4867 | Jos\'e Roberto Vidal Madrid | Enrique \'Alvarez, Roberto Vidal | Comments on the vacuum energy decay | 25 pages, 1 figures; significant changes; added content from another
preprint | JCAP 1011 (2010) 043 | 10.1088/1475-7516/2010/11/043 | DFT-UAM-10-05, IFT-UAM/CSIC-10-24 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The {\em instability of vacuum energy} in de Sitter space as discussed
recently by Polyakov is argued to be a generic feature when external
gravitational fields are present. It is related to the existence of {\em
forbidden} (by momentum conservation) decays derived in some detail by Bros,
Epstein and Moschella. Some calculations are discussed in a conformally
invariant setting, and a flat space model is presented.
| [
{
"created": "Tue, 27 Apr 2010 17:20:21 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Jun 2010 16:12:45 GMT",
"version": "v2"
},
{
"created": "Thu, 2 Sep 2010 11:24:14 GMT",
"version": "v3"
},
{
"created": "Mon, 4 Oct 2010 16:05:37 GMT",
"version": "v4"
}
] | 2015-05-18 | [
[
"Álvarez",
"Enrique",
""
],
[
"Vidal",
"Roberto",
""
]
] | The {\em instability of vacuum energy} in de Sitter space as discussed recently by Polyakov is argued to be a generic feature when external gravitational fields are present. It is related to the existence of {\em forbidden} (by momentum conservation) decays derived in some detail by Bros, Epstein and Moschella. Some calculations are discussed in a conformally invariant setting, and a flat space model is presented. |
hep-th/0007164 | Peter Bantay | P. Bantay | On generalizations of Verlinde's formula | 6 pages | null | null | null | hep-th | null | It is shown that traces of mapping classes of finite order may be expressed
by Verlinde-like formulae. The 3D topological argument is explained, and the
resulting trace identities for modular matrix elements are presented.
| [
{
"created": "Thu, 20 Jul 2000 15:56:23 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Bantay",
"P.",
""
]
] | It is shown that traces of mapping classes of finite order may be expressed by Verlinde-like formulae. The 3D topological argument is explained, and the resulting trace identities for modular matrix elements are presented. |
1007.4456 | Jiang Qing-Quan | Qing-Quan Jiang, Yan Han, Xu Cai | Quantum corrections and black hole spectroscopy | 14 pages, no figure, use JHEP3.cls. to be published in JHEP | JHEP 1008:049,2010 | 10.1007/JHEP08(2010)049 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the work \cite{BRM,RBE}, black hole spectroscopy has been successfully
reproduced in the tunneling picture. As a result, the derived entropy spectrum
of black hole in different gravity (including Einstein's gravity,
Einstein-Gauss-Bonnet gravity and Ho\v{r}ava-Lifshitz gravity) are all evenly
spaced, sharing the same forms as $S_n=n$, where physical process is only
confined in the semiclassical framework. However, the real physical picture
should go beyond the semiclassical approximation. In this case, the physical
quantities would undergo higher-order quantum corrections, whose effect on
different gravity shares in different forms. Motivated by these facts, in this
paper we aim to observe how quantum corrections affect black hole spectroscopy
in different gravity. The result shows that, in the presence of higher-order
quantum corrections, black hole spectroscopy in different gravity still shares
the same form as $S_n=n$, further confirming the entropy quantum is universal
in the sense that it is not only independent of black hole parameters, but also
independent of higher-order quantum corrections. This is a desiring result for
the forthcoming quantum gravity theory.
| [
{
"created": "Mon, 26 Jul 2010 13:41:26 GMT",
"version": "v1"
}
] | 2010-11-19 | [
[
"Jiang",
"Qing-Quan",
""
],
[
"Han",
"Yan",
""
],
[
"Cai",
"Xu",
""
]
] | In the work \cite{BRM,RBE}, black hole spectroscopy has been successfully reproduced in the tunneling picture. As a result, the derived entropy spectrum of black hole in different gravity (including Einstein's gravity, Einstein-Gauss-Bonnet gravity and Ho\v{r}ava-Lifshitz gravity) are all evenly spaced, sharing the same forms as $S_n=n$, where physical process is only confined in the semiclassical framework. However, the real physical picture should go beyond the semiclassical approximation. In this case, the physical quantities would undergo higher-order quantum corrections, whose effect on different gravity shares in different forms. Motivated by these facts, in this paper we aim to observe how quantum corrections affect black hole spectroscopy in different gravity. The result shows that, in the presence of higher-order quantum corrections, black hole spectroscopy in different gravity still shares the same form as $S_n=n$, further confirming the entropy quantum is universal in the sense that it is not only independent of black hole parameters, but also independent of higher-order quantum corrections. This is a desiring result for the forthcoming quantum gravity theory. |
0912.4712 | Francisco A. Brito | F.A. Brito, H. S. Jesuino | Multi-scalar tachyon potential on non-BPS domain walls | version to appear in JHEP, 18 pages, 3 figures | JHEP 1007:031,2010 | 10.1007/JHEP07(2010)031 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We have considered the multi-scalar and multi-tachyon fields living on a 3d
domain wall embedded in a 5d dimensional Minkowski spacetime. The effective
action for such a domain wall can be found by integrating out the normal modes
as vibrating modes around the domain wall solution of a truncated 5d
supergravity action. The multi-scalar tachyon potential are good enough to
modeling assisted inflation scenario with multi-tachyon fields. The tachyon
condensation are also briefly addressed.
| [
{
"created": "Wed, 23 Dec 2009 19:08:17 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Jun 2010 18:38:49 GMT",
"version": "v2"
}
] | 2014-11-20 | [
[
"Brito",
"F. A.",
""
],
[
"Jesuino",
"H. S.",
""
]
] | We have considered the multi-scalar and multi-tachyon fields living on a 3d domain wall embedded in a 5d dimensional Minkowski spacetime. The effective action for such a domain wall can be found by integrating out the normal modes as vibrating modes around the domain wall solution of a truncated 5d supergravity action. The multi-scalar tachyon potential are good enough to modeling assisted inflation scenario with multi-tachyon fields. The tachyon condensation are also briefly addressed. |
hep-th/9506038 | Jin-Ho Cho | Jin-Ho Cho and Hyuk-jae Lee | Induced Spin from the $ISO(2,1)$ Gauge Theory with the Gravitational
Chern-Simons Term | LaTeX 8 pages, To be published in Phys. Lett. B | Phys.Lett. B351 (1995) 111-115 | 10.1016/0370-2693(95)00360-W | KAIST-CHEP-94/20, SNUTP 94-80 | hep-th | null | In the context of $ISO(2,1)$ gauge theory, we consider $(2+1)$-dimensional
gravity with the gravitational Chern-Simons term (CST). This formulation allows
the `exact' solution for the system coupled to a massive point particle (which
is not the case in the conventional Chern-Simons gravity). The solution
exhibits locally trivial structure even with the CST, although still shows
globally nontrivialness such as the conical space and the helical time
structure. Since the solution is exact, we can say the CST induces spin even
for noncritical case of $\s+\al m\ne 0$.
| [
{
"created": "Wed, 7 Jun 1995 07:26:17 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Cho",
"Jin-Ho",
""
],
[
"Lee",
"Hyuk-jae",
""
]
] | In the context of $ISO(2,1)$ gauge theory, we consider $(2+1)$-dimensional gravity with the gravitational Chern-Simons term (CST). This formulation allows the `exact' solution for the system coupled to a massive point particle (which is not the case in the conventional Chern-Simons gravity). The solution exhibits locally trivial structure even with the CST, although still shows globally nontrivialness such as the conical space and the helical time structure. Since the solution is exact, we can say the CST induces spin even for noncritical case of $\s+\al m\ne 0$. |
1509.03081 | Behzad Eslam Panah | S. H. Hendi, B. Eslam Panah, M. Momennia and S. Panahiyan | Three dimensional nonlinear magnetic AdS solutions through topological
defects | 22 pages with 24 figures. Accepted for publication in Eur. Phys. J. C | Eur. Phys. J. C (2015) 75:457 | 10.1140/epjc/s10052-015-3677-1 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Inspired by large applications of topological defects in describing different
phenomena in physics, and considering the importance of three dimensional
solutions in AdS/CFT correspondence, in this paper we obtain magnetic anti-de
Sitter solutions of nonlinear electromagnetic fields. We take into account
three classes of nonlinear electrodynamic models; first two classes are the
well-known BornInfeld like models including logarithmic and exponential forms
and third class is known as the power Maxwell invariant nonlinear
electrodynamics. We investigate the effects of these nonlinear sources on three
dimensional magnetic solutions. We show that these asymptotical AdS solutions
do not have any curvature singularity and horizon. We also generalize the
static metric to the case of rotating solutions and find that the value of the
electric charge depends on the rotation parameter. Finally, we consider the
quadratic Maxwell invariant as a correction of Maxwell theory and in other
words, we investigate the effects of nonlinearity as a correction. We study the
behavior of the deficit angle in presence of these theories of nonlinearity and
compare them with each other. We also show that some cases with negative
deficit angle exists which are representing objects with different geometrical
structure. We also show that in case of the static only magnetic field exists
whereas by boosting the metric to rotating one, electric field appear too.
| [
{
"created": "Thu, 10 Sep 2015 10:23:06 GMT",
"version": "v1"
}
] | 2015-09-29 | [
[
"Hendi",
"S. H.",
""
],
[
"Panah",
"B. Eslam",
""
],
[
"Momennia",
"M.",
""
],
[
"Panahiyan",
"S.",
""
]
] | Inspired by large applications of topological defects in describing different phenomena in physics, and considering the importance of three dimensional solutions in AdS/CFT correspondence, in this paper we obtain magnetic anti-de Sitter solutions of nonlinear electromagnetic fields. We take into account three classes of nonlinear electrodynamic models; first two classes are the well-known BornInfeld like models including logarithmic and exponential forms and third class is known as the power Maxwell invariant nonlinear electrodynamics. We investigate the effects of these nonlinear sources on three dimensional magnetic solutions. We show that these asymptotical AdS solutions do not have any curvature singularity and horizon. We also generalize the static metric to the case of rotating solutions and find that the value of the electric charge depends on the rotation parameter. Finally, we consider the quadratic Maxwell invariant as a correction of Maxwell theory and in other words, we investigate the effects of nonlinearity as a correction. We study the behavior of the deficit angle in presence of these theories of nonlinearity and compare them with each other. We also show that some cases with negative deficit angle exists which are representing objects with different geometrical structure. We also show that in case of the static only magnetic field exists whereas by boosting the metric to rotating one, electric field appear too. |
hep-th/9809084 | Antonio Bassetto | A. Bassetto | QCD: from four to two dimensions | revtex 11 pages, no figures. Invited talk at the XIth International
Conference on PROBLEMS OF QUANTUM FIELD THEORY, Dubna (1998), to appear in
the Proceedings | null | null | null | hep-th | null | I review some work done in the past four years concerning the transition of
Yang-Mills theories from 1+3 to 1+1 dimensions. The problem is considered both
in a perturbative context and in exact solutions when available. Several
interesting features are discussed, mainly in relation to the phenomenon of
confinement, and some controversial issues are clarified.
| [
{
"created": "Sun, 13 Sep 1998 15:32:40 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Bassetto",
"A.",
""
]
] | I review some work done in the past four years concerning the transition of Yang-Mills theories from 1+3 to 1+1 dimensions. The problem is considered both in a perturbative context and in exact solutions when available. Several interesting features are discussed, mainly in relation to the phenomenon of confinement, and some controversial issues are clarified. |
hep-th/0509039 | Thomas Larsson | T. A. Larsson | On the problem of time in two and four dimensions | 9 pages | null | null | null | hep-th math-ph math.MP | null | In general-covariant theories the Hamiltonian is a constraint, and hence
there is no time evolution; this is the problem of time. In the subcritical
free string, the Hamiltonian ceases to be a constraint after quantization due
to conformal anomalies, and time evolution becomes non-trivial and unitary. It
is argued that the problem of time in four dimensions can be resolved by a
similar mechanism. This forces us to challenge some widespread beliefs, such as
the idea that every gauge symmetry is a redundancy of the description.
| [
{
"created": "Mon, 5 Sep 2005 15:21:29 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Larsson",
"T. A.",
""
]
] | In general-covariant theories the Hamiltonian is a constraint, and hence there is no time evolution; this is the problem of time. In the subcritical free string, the Hamiltonian ceases to be a constraint after quantization due to conformal anomalies, and time evolution becomes non-trivial and unitary. It is argued that the problem of time in four dimensions can be resolved by a similar mechanism. This forces us to challenge some widespread beliefs, such as the idea that every gauge symmetry is a redundancy of the description. |
1405.4467 | Takashi Kameyama | Takashi Kameyama and Kentaroh Yoshida | Anisotropic Landau-Lifshitz sigma models from q-deformed AdS_5 x S^5
superstrings | 38 pages, 1 figure, typos corrected, minor comments and references
added | null | 10.1007/JHEP08(2014)110 | KUNS-2499 | hep-th math-ph math.MP nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider bosonic subsectors of the q-deformed AdS_5 x S^5 superstring
action and study the classical integrable structure of anisotropic
Landau-Lifshitz sigma models (LLSMs) derived by taking fast-moving limits. The
subsectors are 1) deformed AdS_3 x S^1 and 2) R x deformed S^3. The cases 1)
and 2) lead to a time-like warped SL(2) LLSM and a squashed S^3 LLSM,
respectively. For each of them, we construct an infinite number of non-local
conserved charges and show a quantum affine algebra at the classical level.
Furthermore, a pp-wave like limit is applied for the case 1). The resulting
system is a null-like warped SL(2) LLSM and exhibits a couple of Yangians
through non-local gauge transformations associated with Jordanian twists.
| [
{
"created": "Sun, 18 May 2014 07:27:51 GMT",
"version": "v1"
},
{
"created": "Sun, 10 Aug 2014 07:22:15 GMT",
"version": "v2"
}
] | 2015-06-19 | [
[
"Kameyama",
"Takashi",
""
],
[
"Yoshida",
"Kentaroh",
""
]
] | We consider bosonic subsectors of the q-deformed AdS_5 x S^5 superstring action and study the classical integrable structure of anisotropic Landau-Lifshitz sigma models (LLSMs) derived by taking fast-moving limits. The subsectors are 1) deformed AdS_3 x S^1 and 2) R x deformed S^3. The cases 1) and 2) lead to a time-like warped SL(2) LLSM and a squashed S^3 LLSM, respectively. For each of them, we construct an infinite number of non-local conserved charges and show a quantum affine algebra at the classical level. Furthermore, a pp-wave like limit is applied for the case 1). The resulting system is a null-like warped SL(2) LLSM and exhibits a couple of Yangians through non-local gauge transformations associated with Jordanian twists. |
1910.10009 | Omar Zanusso | Alessandro Codello, Mahmoud Safari, Gian Paolo Vacca, Omar Zanusso | Symmetry and universality of multi-field interactions in $6-\epsilon$
dimensions | 8 pages; to appear on Phys. Rev. D | Phys. Rev. D 101, 065002 (2020) | 10.1103/PhysRevD.101.065002 | null | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We outline a general strategy developed for the analysis of critical models,
which we apply to obtain a heuristic classification of all universality classes
with up to three field-theoretical scalar order parameters in $d=6-\epsilon$
dimensions. As expected by the paradigm of universality, each class is uniquely
characterized by its symmetry group and by a set of its scaling properties,
neither of which are built-in by the formalism but instead emerge nontrivially
as outputs of our computations. For three fields, we find several solutions
mostly with discrete symmetries. These are nontrivial conformal field theory
candidates in less than six dimensions, one of which is a new perturbatively
unitary critical model.
| [
{
"created": "Tue, 22 Oct 2019 14:35:05 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Mar 2020 17:12:26 GMT",
"version": "v2"
}
] | 2020-03-18 | [
[
"Codello",
"Alessandro",
""
],
[
"Safari",
"Mahmoud",
""
],
[
"Vacca",
"Gian Paolo",
""
],
[
"Zanusso",
"Omar",
""
]
] | We outline a general strategy developed for the analysis of critical models, which we apply to obtain a heuristic classification of all universality classes with up to three field-theoretical scalar order parameters in $d=6-\epsilon$ dimensions. As expected by the paradigm of universality, each class is uniquely characterized by its symmetry group and by a set of its scaling properties, neither of which are built-in by the formalism but instead emerge nontrivially as outputs of our computations. For three fields, we find several solutions mostly with discrete symmetries. These are nontrivial conformal field theory candidates in less than six dimensions, one of which is a new perturbatively unitary critical model. |
2106.04448 | Nathan Berkovits | Nathan Berkovits (ICTP-SAIFR/IFT-UNESP, S\~ao Paulo) | Manifest Spacetime Supersymmetry and the Superstring | 10 pages | null | 10.1007/JHEP10(2021)162 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The algebra of spacetime supersymmetry generators in the RNS formalism for
the superstring closes only up to a picture-changing operation. After adding
non-minimal variables and working in the "large" Hilbert space, the algebra
closes without picture-changing and spacetime supersymmetry can be made
manifest. The resulting non-minimal version of the RNS formalism is related by
a field redefinition to the pure spinor formalism.
| [
{
"created": "Tue, 8 Jun 2021 15:30:45 GMT",
"version": "v1"
}
] | 2021-11-03 | [
[
"Berkovits",
"Nathan",
"",
"ICTP-SAIFR/IFT-UNESP, São Paulo"
]
] | The algebra of spacetime supersymmetry generators in the RNS formalism for the superstring closes only up to a picture-changing operation. After adding non-minimal variables and working in the "large" Hilbert space, the algebra closes without picture-changing and spacetime supersymmetry can be made manifest. The resulting non-minimal version of the RNS formalism is related by a field redefinition to the pure spinor formalism. |
2102.00680 | Sven Bjarke Gudnason | Salvatore Baldino, Lorenzo Bartolini, Stefano Bolognesi, Sven Bjarke
Gudnason | Holographic Nuclear Physics with Massive Quarks | LaTeX: 35 pages, 5 figures; V2: comments and references added, typos
corrected | Phys. Rev. D 103, 126015 (2021) | 10.1103/PhysRevD.103.126015 | IFUP-TH-2021 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss nuclear physics in the Witten-Sakai-Sugimoto model, in the limit
of large number $N_c$ of colors and large 't Hooft coupling, with the addition
of a finite mass for the quarks. Individual baryons are described by classical
solitons whose size is much smaller than the typical distance in nuclear bound
states, thus we can use the linear approximation to compute the interaction
potential and provide a natural description for lightly bound states. We find
the classical geometry of nuclear bound states for baryon numbers up to B=8.
The effect of the finite pion mass - induced by the quark mass via the GMOR
relation - is to decrease the binding energy of the nuclei with respect to the
massless case. We discuss the finite density case with a particular choice of a
cubic lattice, for which we find the critical chemical potential, at which the
hadronic phase transition occurs.
| [
{
"created": "Mon, 1 Feb 2021 07:45:38 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Jun 2021 03:44:41 GMT",
"version": "v2"
}
] | 2021-06-18 | [
[
"Baldino",
"Salvatore",
""
],
[
"Bartolini",
"Lorenzo",
""
],
[
"Bolognesi",
"Stefano",
""
],
[
"Gudnason",
"Sven Bjarke",
""
]
] | We discuss nuclear physics in the Witten-Sakai-Sugimoto model, in the limit of large number $N_c$ of colors and large 't Hooft coupling, with the addition of a finite mass for the quarks. Individual baryons are described by classical solitons whose size is much smaller than the typical distance in nuclear bound states, thus we can use the linear approximation to compute the interaction potential and provide a natural description for lightly bound states. We find the classical geometry of nuclear bound states for baryon numbers up to B=8. The effect of the finite pion mass - induced by the quark mass via the GMOR relation - is to decrease the binding energy of the nuclei with respect to the massless case. We discuss the finite density case with a particular choice of a cubic lattice, for which we find the critical chemical potential, at which the hadronic phase transition occurs. |
1705.09331 | G. Alencar | G. Alencar | Hidden Conformal Symmetry in Randall-Sundrum 2 Model: Universal Fermion
Localization by Torsion | Published version | Phys.Lett. B773 (2017) 601-603 | 10.1016/j.physletb.2017.09.014 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this manuscript we describe a hidden conformal symmetry of the second
Randall-Sundrum model (RS2). We show how this can be used to localize fermions
of both chiralities. The conformal symmetry leaves few free dimensionless
constants and constrains the allowed interactions. In this formulation the
warping of the extra dimension emerges from a partial breaking of the conformal
symmetry in five dimensions. The solution of the system can be described in two
alternative gauges: by the metric or by the conformon. By considering this as a
fundamental symmetry we construct a conformally invariant action for a vector
field which provides a massless photon localized over a Minkowski brane. This
is obtained by a conformal non-minimal coupling that breaks the gauge symmetry
in five dimensions. We further consider a generalization of the model by
including conformally invariant torsion. By coupling torsion non-minimally to
fermions we obtain a localized zero mode of both chiralities completing the
consistence of the model. The inclusion of torsion introduces a fermion quartic
interaction that can be used to probe the existence of large extra dimensions
and the validity of the model. This seems to point to the fact that conformal
symmetry may be more fundamental than gauge symmetry and that this is the
missing ingredient for the full consistence of RS scenarios.
| [
{
"created": "Thu, 25 May 2017 19:04:15 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Jul 2017 13:24:17 GMT",
"version": "v2"
},
{
"created": "Thu, 27 Jul 2017 15:42:21 GMT",
"version": "v3"
},
{
"created": "Tue, 19 Sep 2017 16:25:47 GMT",
"version": "v4"
}
] | 2017-09-20 | [
[
"Alencar",
"G.",
""
]
] | In this manuscript we describe a hidden conformal symmetry of the second Randall-Sundrum model (RS2). We show how this can be used to localize fermions of both chiralities. The conformal symmetry leaves few free dimensionless constants and constrains the allowed interactions. In this formulation the warping of the extra dimension emerges from a partial breaking of the conformal symmetry in five dimensions. The solution of the system can be described in two alternative gauges: by the metric or by the conformon. By considering this as a fundamental symmetry we construct a conformally invariant action for a vector field which provides a massless photon localized over a Minkowski brane. This is obtained by a conformal non-minimal coupling that breaks the gauge symmetry in five dimensions. We further consider a generalization of the model by including conformally invariant torsion. By coupling torsion non-minimally to fermions we obtain a localized zero mode of both chiralities completing the consistence of the model. The inclusion of torsion introduces a fermion quartic interaction that can be used to probe the existence of large extra dimensions and the validity of the model. This seems to point to the fact that conformal symmetry may be more fundamental than gauge symmetry and that this is the missing ingredient for the full consistence of RS scenarios. |
2404.08083 | Pieter Bomans | Pieter Bomans and Christopher Couzens | On the Class $\mathcal{S}$ Origin of Spindle Solutions | 43 pages including appendices | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We analyse the backreacted geometry corresponding to a stack of M5-branes
wrapped on a spindle, with a view towards precision tests of the dual
$\mathcal{N} = 1$ superconformal field theory. We carefully study the singular
loci of the uplifted geometry and show that these correspond to
$\mathbf{C}^3/\mathbf{Z}_n$ conical singularities. Therefore, these solutions
present one of the first explicit realisations of honest locally $\mathcal{N} =
1$ preserving punctures in class $\mathcal{S}$. Additionally, we study the
symmetries and anomalies of the dual field theory through anomaly inflow and
compute a variety of holographic observables including dimensions of BPS
operators. This work paves the way for advancements in the study and
identification of the precise dual field theories.
| [
{
"created": "Thu, 11 Apr 2024 18:55:22 GMT",
"version": "v1"
}
] | 2024-04-15 | [
[
"Bomans",
"Pieter",
""
],
[
"Couzens",
"Christopher",
""
]
] | We analyse the backreacted geometry corresponding to a stack of M5-branes wrapped on a spindle, with a view towards precision tests of the dual $\mathcal{N} = 1$ superconformal field theory. We carefully study the singular loci of the uplifted geometry and show that these correspond to $\mathbf{C}^3/\mathbf{Z}_n$ conical singularities. Therefore, these solutions present one of the first explicit realisations of honest locally $\mathcal{N} = 1$ preserving punctures in class $\mathcal{S}$. Additionally, we study the symmetries and anomalies of the dual field theory through anomaly inflow and compute a variety of holographic observables including dimensions of BPS operators. This work paves the way for advancements in the study and identification of the precise dual field theories. |
2211.13143 | Bogdan Ganchev | Bogdan Ganchev, Daniel R. Mayerson | On Supersymmetric Multipole Ratios | 23 pages + 3 pages appendix, 4 figures | null | 10.1007/JHEP02(2023)160 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Four-dimensional supersymmetric black holes are static and so have all
vanishing multipoles. Nevertheless, it is possible to define finite multipole
ratios for these black holes, by taking the ratio of (finite) multipoles of
supersymmetric multicentered geometries and then taking the black hole scaling
limit of the multipole ratios within these geometries. An alternative way to
calculate these multipole ratios is to deform the supersymmetric black hole
slightly into a non-extremal, rotating black hole, calculate the multipole
ratios of this altered black hole, and then take the supersymmetric limit of
the ratios. Bena and Mayerson observed that for a class of microstate
geometries, these two a priori completely different methods give spectacular
agreement for the resulting supersymmetric black hole multipole ratios. They
conjectured that this agreement is due to the smallness of the entropy
parameter for these black holes. We correct this conjecture and give strong
evidence supporting a more refined conjecture, which is that the agreement of
multipole ratios as calculated with these two different methods is due to both
the microstate geometry and its corresponding black hole having a property we
call "large dipole", which can be interpreted as their center of mass being far
away from its apparent center.
| [
{
"created": "Wed, 23 Nov 2022 17:18:01 GMT",
"version": "v1"
}
] | 2023-03-01 | [
[
"Ganchev",
"Bogdan",
""
],
[
"Mayerson",
"Daniel R.",
""
]
] | Four-dimensional supersymmetric black holes are static and so have all vanishing multipoles. Nevertheless, it is possible to define finite multipole ratios for these black holes, by taking the ratio of (finite) multipoles of supersymmetric multicentered geometries and then taking the black hole scaling limit of the multipole ratios within these geometries. An alternative way to calculate these multipole ratios is to deform the supersymmetric black hole slightly into a non-extremal, rotating black hole, calculate the multipole ratios of this altered black hole, and then take the supersymmetric limit of the ratios. Bena and Mayerson observed that for a class of microstate geometries, these two a priori completely different methods give spectacular agreement for the resulting supersymmetric black hole multipole ratios. They conjectured that this agreement is due to the smallness of the entropy parameter for these black holes. We correct this conjecture and give strong evidence supporting a more refined conjecture, which is that the agreement of multipole ratios as calculated with these two different methods is due to both the microstate geometry and its corresponding black hole having a property we call "large dipole", which can be interpreted as their center of mass being far away from its apparent center. |
1502.03377 | Boris Pioline | Boris Pioline (CERN and LPTHE) | $D^6 R^4$ amplitudes in various dimensions | 18 pages (+ 26 page appendix), three Mathematica files included with
submission; v2: minor corrections, version to appear in JHEP | null | 10.1007/JHEP04(2015)057 | CERN-PH-TH-2015-025 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Four-graviton couplings in the low energy effective action of type II string
vacua compactified on tori are strongly constrained by supersymmetry and
U-duality. While the $R^4$ and $D^4 R^4$ couplings are known exactly in terms
of Langlands-Eisenstein series of the U-duality group, the $D^6 R^4$ couplings
are not nearly as well understood. Exploiting the coincidence of the U-duality
group in $D=6$ with the T-duality group in $D=5$, we propose an exact formula
for the $D^6 R^4$ couplings in type II string theory compactified on $T^4$, in
terms of a genus-two modular integral plus a suitable Eisenstein series. The
same modular integral computes the two-loop correction to $D^6 R^4$ in 5
dimensions, but here provides the non-perturbative completion of the known
perturbative terms in $D=6$. This proposal hinges on a systematic re-analysis
of the weak coupling and large radius of the $D^6 R^4$ in all dimensions $D\geq
3$, which fills in some gaps and resolves some inconsistencies in earlier
studies.
| [
{
"created": "Wed, 11 Feb 2015 17:03:55 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Apr 2015 14:03:05 GMT",
"version": "v2"
}
] | 2015-06-23 | [
[
"Pioline",
"Boris",
"",
"CERN and LPTHE"
]
] | Four-graviton couplings in the low energy effective action of type II string vacua compactified on tori are strongly constrained by supersymmetry and U-duality. While the $R^4$ and $D^4 R^4$ couplings are known exactly in terms of Langlands-Eisenstein series of the U-duality group, the $D^6 R^4$ couplings are not nearly as well understood. Exploiting the coincidence of the U-duality group in $D=6$ with the T-duality group in $D=5$, we propose an exact formula for the $D^6 R^4$ couplings in type II string theory compactified on $T^4$, in terms of a genus-two modular integral plus a suitable Eisenstein series. The same modular integral computes the two-loop correction to $D^6 R^4$ in 5 dimensions, but here provides the non-perturbative completion of the known perturbative terms in $D=6$. This proposal hinges on a systematic re-analysis of the weak coupling and large radius of the $D^6 R^4$ in all dimensions $D\geq 3$, which fills in some gaps and resolves some inconsistencies in earlier studies. |
1412.6838 | Mariusz Hynek | Stefan Fredenhagen, Jens Hoppe, Mariusz Hynek | The Lorentz Anomaly via Operator Product Expansion | null | J. Math. Phys. 56, 102302 (2015) | 10.1063/1.4932960 | AEI-2014-067 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The emergence of a critical dimension is one of the most striking features of
string theory. One way to obtain it is by demanding closure of the Lorentz
algebra in the light-cone gauge quantisation, as discovered for bosonic strings
more than fourty years ago. We give a detailed derivation of this classical
result based on the operator product expansion on the Lorentzian world-sheet.
| [
{
"created": "Sun, 21 Dec 2014 21:39:12 GMT",
"version": "v1"
}
] | 2016-03-25 | [
[
"Fredenhagen",
"Stefan",
""
],
[
"Hoppe",
"Jens",
""
],
[
"Hynek",
"Mariusz",
""
]
] | The emergence of a critical dimension is one of the most striking features of string theory. One way to obtain it is by demanding closure of the Lorentz algebra in the light-cone gauge quantisation, as discovered for bosonic strings more than fourty years ago. We give a detailed derivation of this classical result based on the operator product expansion on the Lorentzian world-sheet. |
hep-th/0610197 | Harald Dorn | Harald Dorn, George Jorjadze | Boundary Liouville Theory: Hamiltonian Description and Quantization | This is a contribution to the Proc. of the O'Raifeartaigh Symposium
on Non-Perturbative and Symmetry Methods in Field Theory (June 2006,
Budapest, Hungary), published in SIGMA (Symmetry, Integrability and Geometry:
Methods and Applications) at http://www.emis.de/journals/SIGMA/ | SIGMA 3:012,2007 | 10.3842/SIGMA.2007.012 | HU-EP-06/36 | hep-th | null | The paper is devoted to the Hamiltonian treatment of classical and quantum
properties of Liouville field theory on a timelike strip in 2d Minkowski space.
We give a complete description of classical solutions regular in the interior
of the strip and obeying constant conformally invariant conditions on both
boundaries. Depending on the values of the two boundary parameters these
solutions may have different monodromy properties and are related to bound or
scattering states. By Bohr-Sommerfeld quantization we find the quasiclassical
discrete energy spectrum for the bound states in agreement with the
corresponding limit of spectral data obtained previously by conformal bootstrap
methods in Euclidean space. The full quantum version of the special vertex
operator $e^{-\phi}$ in terms of free field exponentials is constructed in the
hyperbolic sector.
| [
{
"created": "Tue, 17 Oct 2006 17:05:08 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Jan 2007 18:51:00 GMT",
"version": "v2"
}
] | 2008-12-19 | [
[
"Dorn",
"Harald",
""
],
[
"Jorjadze",
"George",
""
]
] | The paper is devoted to the Hamiltonian treatment of classical and quantum properties of Liouville field theory on a timelike strip in 2d Minkowski space. We give a complete description of classical solutions regular in the interior of the strip and obeying constant conformally invariant conditions on both boundaries. Depending on the values of the two boundary parameters these solutions may have different monodromy properties and are related to bound or scattering states. By Bohr-Sommerfeld quantization we find the quasiclassical discrete energy spectrum for the bound states in agreement with the corresponding limit of spectral data obtained previously by conformal bootstrap methods in Euclidean space. The full quantum version of the special vertex operator $e^{-\phi}$ in terms of free field exponentials is constructed in the hyperbolic sector. |
1506.04738 | Satoshi Ohya | Satoshi Ohya | BPS Monopole in the Space of Boundary Conditions | 13 pages, 4 eepic figures; minor corrections | J.Phys.A48:505401,2015 | 10.1088/1751-8113/48/50/505401 | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The space of all possible boundary conditions that respect self-adjointness
of Hamiltonian operator is known to be given by the group manifold $U(2)$ in
one-dimensional quantum mechanics. In this paper we study non-Abelian Berry's
connections in the space of boundary conditions in a simple quantum mechanical
system. We consider a system for a free spinless particle on a circle with two
point-like interactions described by the $U(2) \times U(2)$ family of boundary
conditions. We show that, for a certain $SU(2) \subset U(2) \times U(2)$
subfamily of boundary conditions, all the energy levels become
doubly-degenerate thanks to the so-called higher-derivative supersymmetry, and
non-Abelian Berry's connection in the ground-state sector is given by the
Bogomolny-Prasad-Sommerfield (BPS) monopole of $SU(2)$ Yang-Mills-Higgs theory.
We also show that, in the ground-state sector of this quantum mechanical model,
matrix elements of position operator give the adjoint Higgs field that
satisfies the BPS equation. It is also discussed that Berry's connections in
the excited-state sectors are given by non-BPS 't Hooft-Polyakov monopoles.
| [
{
"created": "Mon, 15 Jun 2015 20:00:12 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Nov 2015 01:00:14 GMT",
"version": "v2"
}
] | 2015-11-25 | [
[
"Ohya",
"Satoshi",
""
]
] | The space of all possible boundary conditions that respect self-adjointness of Hamiltonian operator is known to be given by the group manifold $U(2)$ in one-dimensional quantum mechanics. In this paper we study non-Abelian Berry's connections in the space of boundary conditions in a simple quantum mechanical system. We consider a system for a free spinless particle on a circle with two point-like interactions described by the $U(2) \times U(2)$ family of boundary conditions. We show that, for a certain $SU(2) \subset U(2) \times U(2)$ subfamily of boundary conditions, all the energy levels become doubly-degenerate thanks to the so-called higher-derivative supersymmetry, and non-Abelian Berry's connection in the ground-state sector is given by the Bogomolny-Prasad-Sommerfield (BPS) monopole of $SU(2)$ Yang-Mills-Higgs theory. We also show that, in the ground-state sector of this quantum mechanical model, matrix elements of position operator give the adjoint Higgs field that satisfies the BPS equation. It is also discussed that Berry's connections in the excited-state sectors are given by non-BPS 't Hooft-Polyakov monopoles. |
1606.02824 | Ivan Masterov | Ivan Masterov | N=2 supersymmetric odd-order Pais-Uhlenbeck oscillator | v1: 17 pages; v2: 18 pages; typos corrected, clarifying remarks
included into Section 3 and Conclusion; Section 5, references, and
acknowledgements added; published version | Nucl. Phys. B 910 (2016) P. 40-54 | 10.1016/j.nuclphysb.2016.06.030 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider an N=2 supersymmetric odd-order Pais-Uhlenbeck oscillator with
distinct frequencies of oscillation. The technique previously developed in
[Acta Phys. Polon. B 36 (2005) 2115; Nucl. Phys. B 902 (2016) 95] is used to
construct a family of Hamiltonian structures for this system.
| [
{
"created": "Thu, 9 Jun 2016 04:56:25 GMT",
"version": "v1"
},
{
"created": "Sun, 10 Jul 2016 04:29:20 GMT",
"version": "v2"
}
] | 2016-07-12 | [
[
"Masterov",
"Ivan",
""
]
] | We consider an N=2 supersymmetric odd-order Pais-Uhlenbeck oscillator with distinct frequencies of oscillation. The technique previously developed in [Acta Phys. Polon. B 36 (2005) 2115; Nucl. Phys. B 902 (2016) 95] is used to construct a family of Hamiltonian structures for this system. |
hep-th/9901113 | null | B.G. Konopelchenko, G. Landolfi | On rigid string instantons in four dimensions | Latex, 7 pages | Phys.Lett. B459 (1999) 522-526 | 10.1016/S0370-2693(99)00699-1 | null | hep-th | null | Generalized Weierstrass formulae for surfaces in four-dimensional space
$\Bbb{R}^{4}$ are used to study (anti)self-dual rigid string configurations. It
is shown that such configurations are given by superminimal immersions into
$\Bbb{R}^{4}$. Explicit formulae for generic (anti)instantons are presented.
Particular classes of surfaces are also analyzed.
| [
{
"created": "Sat, 23 Jan 1999 09:36:39 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Konopelchenko",
"B. G.",
""
],
[
"Landolfi",
"G.",
""
]
] | Generalized Weierstrass formulae for surfaces in four-dimensional space $\Bbb{R}^{4}$ are used to study (anti)self-dual rigid string configurations. It is shown that such configurations are given by superminimal immersions into $\Bbb{R}^{4}$. Explicit formulae for generic (anti)instantons are presented. Particular classes of surfaces are also analyzed. |
2003.08142 | Alesandro Santos | A. F. Santos, J. Ramos and Faqir C. Khanna | Non-Abelian Gravitoelectromagnetism and applications at finite
temperature | 14 pages, accepted for publication in Advances in High Energy Physics | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Studies about a formal analogy between the gravitational and the
electromagnetic fields lead to the notion of Gravitoelectromagnetism (GEM) to
describe gravitation. In fact, the GEM equations correspond to the weak field
approximation of gravitation field. Here a non-abelian extension of the GEM
theory is considered. Using the Thermo Field Dynamics (TFD) formalism to
introduce temperature effects some interesting physical phenomena are
investigated. The non-abelian GEM Stefan-Boltzmann law and the Casimir effect
at zero and finite temperature for this non-abelian field are calculated.
| [
{
"created": "Wed, 18 Mar 2020 10:45:21 GMT",
"version": "v1"
}
] | 2020-03-19 | [
[
"Santos",
"A. F.",
""
],
[
"Ramos",
"J.",
""
],
[
"Khanna",
"Faqir C.",
""
]
] | Studies about a formal analogy between the gravitational and the electromagnetic fields lead to the notion of Gravitoelectromagnetism (GEM) to describe gravitation. In fact, the GEM equations correspond to the weak field approximation of gravitation field. Here a non-abelian extension of the GEM theory is considered. Using the Thermo Field Dynamics (TFD) formalism to introduce temperature effects some interesting physical phenomena are investigated. The non-abelian GEM Stefan-Boltzmann law and the Casimir effect at zero and finite temperature for this non-abelian field are calculated. |
1803.05920 | Valentin Reys | Kiril Hristov, Ivano Lodato, Valentin Reys | On the quantum entropy function in 4d gauged supergravity | 49 pages; extended analysis of BPS equations and corrected typos in
v2 | null | 10.1007/JHEP07(2018)072 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze BPS black hole attractors in the conformal 4d gauged supergravity
formalism and apply the technique known as supergravity localization in order
to evaluate Sen's quantum entropy function in the
$\mathrm{AdS}_2\!\times\!\mathrm{S}^2$ near-horizon geometry. Under certain
assumptions, we reduce the exact expression of the functional integral to a
finite-dimensional integral for a number of supersymmetric black holes in
gauged supergravity with AdS asymptotics subject to a holographic description
via a dual field theory. Examples include the asymptotically
$\mathrm{AdS}_4\!\times\!\mathrm{S}^7$ Cacciatori-Klemm black holes in M-theory
and the asymptotically $\mathrm{AdS}_5\!\times\!\mathrm{S}^5$ generalizations
of Gutowski-Reall black holes and Benini-Bobev black strings in type IIB, as
well as the recently constructed asymptotically
$\mathrm{AdS}_4\!\times\!\mathrm{S}^6$ solutions in massive type IIA. Our
results provide an important first step towards a gravitational counterpart to
the exact evaluation of supersymmetric partition functions at finite $N$ for
the holographically dual field theories in these examples.
| [
{
"created": "Thu, 15 Mar 2018 18:00:04 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Jul 2018 09:46:38 GMT",
"version": "v2"
}
] | 2018-08-15 | [
[
"Hristov",
"Kiril",
""
],
[
"Lodato",
"Ivano",
""
],
[
"Reys",
"Valentin",
""
]
] | We analyze BPS black hole attractors in the conformal 4d gauged supergravity formalism and apply the technique known as supergravity localization in order to evaluate Sen's quantum entropy function in the $\mathrm{AdS}_2\!\times\!\mathrm{S}^2$ near-horizon geometry. Under certain assumptions, we reduce the exact expression of the functional integral to a finite-dimensional integral for a number of supersymmetric black holes in gauged supergravity with AdS asymptotics subject to a holographic description via a dual field theory. Examples include the asymptotically $\mathrm{AdS}_4\!\times\!\mathrm{S}^7$ Cacciatori-Klemm black holes in M-theory and the asymptotically $\mathrm{AdS}_5\!\times\!\mathrm{S}^5$ generalizations of Gutowski-Reall black holes and Benini-Bobev black strings in type IIB, as well as the recently constructed asymptotically $\mathrm{AdS}_4\!\times\!\mathrm{S}^6$ solutions in massive type IIA. Our results provide an important first step towards a gravitational counterpart to the exact evaluation of supersymmetric partition functions at finite $N$ for the holographically dual field theories in these examples. |
2212.12342 | Vit Sriprachyakul | Marc-Antoine Fiset, Matthias R. Gaberdiel, Kiarash Naderi, Vit
Sriprachyakul | Perturbing the symmetric orbifold from the worldsheet | 27 pages, 1 figure | null | 10.1007/JHEP07(2023)093 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The symmetric orbifold of $\mathbb{T}^4$ is the analogue of free SYM in four
dimensions, and its dual is described by a tensionless string propagating in
${\rm AdS}_3\times {\rm S}^3 \times \mathbb{T}^4$. In this paper we study the
deformation of this exact AdS/CFT duality away from the free point. On the
symmetric orbifold side this amounts to perturbing the theory by the exactly
marginal operator from the $2$-cycle twisted sector. We identify the
corresponding perturbation in the dual worldsheet description, and show that
the anomalous conformal dimensions of a number of symmetric orbifold currents
are correctly reproduced from this worldsheet perspective.
| [
{
"created": "Fri, 23 Dec 2022 13:45:04 GMT",
"version": "v1"
}
] | 2023-07-26 | [
[
"Fiset",
"Marc-Antoine",
""
],
[
"Gaberdiel",
"Matthias R.",
""
],
[
"Naderi",
"Kiarash",
""
],
[
"Sriprachyakul",
"Vit",
""
]
] | The symmetric orbifold of $\mathbb{T}^4$ is the analogue of free SYM in four dimensions, and its dual is described by a tensionless string propagating in ${\rm AdS}_3\times {\rm S}^3 \times \mathbb{T}^4$. In this paper we study the deformation of this exact AdS/CFT duality away from the free point. On the symmetric orbifold side this amounts to perturbing the theory by the exactly marginal operator from the $2$-cycle twisted sector. We identify the corresponding perturbation in the dual worldsheet description, and show that the anomalous conformal dimensions of a number of symmetric orbifold currents are correctly reproduced from this worldsheet perspective. |
hep-th/9811137 | Jan B. Thomassen | Jan B. Thomassen | Jacobians of chiral transformations and two-dimensional bosonization | 8 pages, LaTeX, uses Amssymb, minor corrections | null | null | IK-TUW 9811401 | hep-th | null | We formulate a complete path integral bosonization procedure for any
fermionic theory in two dimensions. The method works equally well for massive
and massless fermions, and is a generalization of an approach suggested earlier
by Andrianov. The classical action of the bosons in the bosonized theory is
identified with -i times the logarithm of the Jacobian of a local chiral
transformation, with the boson fields as transformation parameters. Three
examples, the Schwinger model, the massive Thirring model and massive
non-Abelian bosonization, are worked out.
| [
{
"created": "Sat, 14 Nov 1998 16:43:02 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Nov 1998 13:36:13 GMT",
"version": "v2"
},
{
"created": "Tue, 15 Dec 1998 12:12:42 GMT",
"version": "v3"
},
{
"created": "Wed, 3 Feb 1999 18:37:36 GMT",
"version": "v4"
}
] | 2007-05-23 | [
[
"Thomassen",
"Jan B.",
""
]
] | We formulate a complete path integral bosonization procedure for any fermionic theory in two dimensions. The method works equally well for massive and massless fermions, and is a generalization of an approach suggested earlier by Andrianov. The classical action of the bosons in the bosonized theory is identified with -i times the logarithm of the Jacobian of a local chiral transformation, with the boson fields as transformation parameters. Three examples, the Schwinger model, the massive Thirring model and massive non-Abelian bosonization, are worked out. |
2102.01676 | Matteo Buzzegoli | M. Buzzegoli and Dmitri E. Kharzeev | Anomalous gravitomagnetic moment and non-universality of the axial
vortical effect at finite temperature | 37 pages, 2 figures; final version published in Phys Rev D | Phys. Rev. D 103, 116005 (2021) | 10.1103/PhysRevD.103.116005 | null | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | The coupling between the spin of a massive Dirac fermion and the angular
momentum of the medium, i.e. the gravitomagnetic moment, is shown here to be
renormalized by QED interactions at finite temperature. This means that the
anomalous gravitomagnetic moment (AGM) does not vanish, and implies that
thermal effects can break the Einstein equivalence principle in quantum field
theory, as argued previously. We also show that the AGM causes radiative
corrections to the axial current of massive fermions induced by vorticity in
quantum relativistic fluids, similarly to the previous findings for massless
fermions. The radiative QCD effects on the AGM should significantly affect the
production of polarized hadrons in heavy-ion collisions.
| [
{
"created": "Tue, 2 Feb 2021 18:47:27 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Jun 2021 19:11:25 GMT",
"version": "v2"
}
] | 2021-06-16 | [
[
"Buzzegoli",
"M.",
""
],
[
"Kharzeev",
"Dmitri E.",
""
]
] | The coupling between the spin of a massive Dirac fermion and the angular momentum of the medium, i.e. the gravitomagnetic moment, is shown here to be renormalized by QED interactions at finite temperature. This means that the anomalous gravitomagnetic moment (AGM) does not vanish, and implies that thermal effects can break the Einstein equivalence principle in quantum field theory, as argued previously. We also show that the AGM causes radiative corrections to the axial current of massive fermions induced by vorticity in quantum relativistic fluids, similarly to the previous findings for massless fermions. The radiative QCD effects on the AGM should significantly affect the production of polarized hadrons in heavy-ion collisions. |
hep-th/9401146 | Andrzej Sitarz | Andrzej Sitarz | Noncommutative differential geometry with higher order derivatives | 10 pages | Lett.Math.Phys. 32 (1994) 357-364 | 10.1007/BF00761145 | TPJU 2/94 | hep-th math.OA | null | We build a toy model of differential geometry on the real line, which
includes derivatives of the second order. Such construction is possible only
within the framework of noncommutative geometry. We introduce the metric and
briefly discuss two simple physical models of scalar field theory and gauge
theory in this geometry.
| [
{
"created": "Fri, 28 Jan 1994 10:45:49 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Sitarz",
"Andrzej",
""
]
] | We build a toy model of differential geometry on the real line, which includes derivatives of the second order. Such construction is possible only within the framework of noncommutative geometry. We introduce the metric and briefly discuss two simple physical models of scalar field theory and gauge theory in this geometry. |
1902.10669 | Raimundo Ivan de Oliveira Junior | R.I. de Oliveira Junior, M.O.Tahim, G.Alencar and R.R.Landim | Localization of a Model With U(1) Kinetic Gauge Mixing | null | MPLA's Vol No.35, No.08 , 2050047(2020) | 10.1142/S0217732320500479 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we study the localization of a model with kinetic gauge mixing
on a thin membrane. The model we discuss is a theory for millicharged
particles, proposed by Holdom in 1985, and that now is object of study in the
LHC. We propose a geometrical coupling between the gauge fields, the Ricci
scalar and the Ricci tensor. We show that it is possible to localize such a
model by regarding specific values for the coupling constants. We find the
solutions for the two gauge fields and discuss the localization for scalar
fields that appears naturally in the process. We show that not necessarily the
gauge and scalar fields are localized at the same time.
| [
{
"created": "Wed, 27 Feb 2019 18:08:22 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Feb 2019 14:23:55 GMT",
"version": "v2"
}
] | 2020-03-23 | [
[
"Junior",
"R. I. de Oliveira",
""
],
[
"Tahim",
"M. O.",
""
],
[
"Alencar",
"G.",
""
],
[
"Landim",
"R. R.",
""
]
] | In this paper we study the localization of a model with kinetic gauge mixing on a thin membrane. The model we discuss is a theory for millicharged particles, proposed by Holdom in 1985, and that now is object of study in the LHC. We propose a geometrical coupling between the gauge fields, the Ricci scalar and the Ricci tensor. We show that it is possible to localize such a model by regarding specific values for the coupling constants. We find the solutions for the two gauge fields and discuss the localization for scalar fields that appears naturally in the process. We show that not necessarily the gauge and scalar fields are localized at the same time. |
hep-th/0404209 | Amir H. Fatollahi | Amir H. Fatollahi, Hossein Mohammadzadeh | On The Classical Dynamics Of Charges In Noncommutative QED | 9 pages, no figure, to appear in Eur. Phys. J. C | Eur.Phys.J. C36 (2004) 113-116 | 10.1140/epjc/s2004-01871-8 | null | hep-th | null | One approach for formulating the classical dynamics of charged particles in
non-Abelian gauge theories is due to Wong. Following Wong's approach, we derive
the classical equations of motion of a charged particle in U(1) gauge theory on
noncommutative space, the so-called noncommutative QED. In the present use of
the procedure, it is observed that the definition of mechanical momenta should
be modified. The derived equations of motion manifest the previous statement
about the dipole behavior of charges in noncommutative space.
| [
{
"created": "Tue, 27 Apr 2004 12:11:56 GMT",
"version": "v1"
}
] | 2017-02-08 | [
[
"Fatollahi",
"Amir H.",
""
],
[
"Mohammadzadeh",
"Hossein",
""
]
] | One approach for formulating the classical dynamics of charged particles in non-Abelian gauge theories is due to Wong. Following Wong's approach, we derive the classical equations of motion of a charged particle in U(1) gauge theory on noncommutative space, the so-called noncommutative QED. In the present use of the procedure, it is observed that the definition of mechanical momenta should be modified. The derived equations of motion manifest the previous statement about the dipole behavior of charges in noncommutative space. |
1803.08421 | Ruslan Metsaev | R.R. Metsaev | BRST-BV approach to continuous-spin field | 11 pages, v2: Typos in text corrected. References added | null | 10.1016/j.physletb.2018.04.038 | FIAN-TD-2018-03 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using BRST-BV approach, massless and massive continuous-spin fields
propagating in the flat space are studied. For such fields, BRST-BV gauge
invariant Lagrangian is obtained. The Lagrangian and gauge transformations are
constructed out of traceless gauge fields and traceless gauge transformation
parameters. Interrelation between the BRST-BV Lagrangian and the Lagrangian for
the continuous-spin fields in metric-like approach is demonstrated. Considering
the BRST-BV Lagrangian in the Siegel gauge, we get gauge-fixed Lagrangian which
is invariant under global BRST and antiBRST transformations.
| [
{
"created": "Thu, 22 Mar 2018 15:55:24 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Jun 2018 16:34:00 GMT",
"version": "v2"
}
] | 2018-06-05 | [
[
"Metsaev",
"R. R.",
""
]
] | Using BRST-BV approach, massless and massive continuous-spin fields propagating in the flat space are studied. For such fields, BRST-BV gauge invariant Lagrangian is obtained. The Lagrangian and gauge transformations are constructed out of traceless gauge fields and traceless gauge transformation parameters. Interrelation between the BRST-BV Lagrangian and the Lagrangian for the continuous-spin fields in metric-like approach is demonstrated. Considering the BRST-BV Lagrangian in the Siegel gauge, we get gauge-fixed Lagrangian which is invariant under global BRST and antiBRST transformations. |
hep-th/0001206 | Shamit Kachru | Shamit Kachru, Michael Schulz and Eva Silverstein | Self-tuning flat domain walls in 5d gravity and string theory | 21 pages, harvmac big | Phys.Rev.D62:045021,2000 | 10.1103/PhysRevD.62.045021 | SLAC-PUB-8337, SU-ITP-00/02, IASSNS-HEP-00/05 | hep-th | null | We present Poincare invariant domain wall (``3-brane'') solutions to some
5-dimensional effective theories which can arise naturally in string theory. In
particular, we find theories where Poincare invariant solutions exist for
arbitrary values of the brane tension, for certain restricted forms of the bulk
interactions. We describe examples in string theory where it would be natural
for the quantum corrections to the tension of the brane (arising from quantum
fluctuations of modes with support on the brane) to maintain the required form
of the action. In such cases, the Poincare invariant solutions persist in the
presence of these quantum corrections to the brane tension, so that no 4d
cosmological constant is generated by these modes.
| [
{
"created": "Mon, 31 Jan 2000 22:35:23 GMT",
"version": "v1"
}
] | 2009-10-07 | [
[
"Kachru",
"Shamit",
""
],
[
"Schulz",
"Michael",
""
],
[
"Silverstein",
"Eva",
""
]
] | We present Poincare invariant domain wall (``3-brane'') solutions to some 5-dimensional effective theories which can arise naturally in string theory. In particular, we find theories where Poincare invariant solutions exist for arbitrary values of the brane tension, for certain restricted forms of the bulk interactions. We describe examples in string theory where it would be natural for the quantum corrections to the tension of the brane (arising from quantum fluctuations of modes with support on the brane) to maintain the required form of the action. In such cases, the Poincare invariant solutions persist in the presence of these quantum corrections to the brane tension, so that no 4d cosmological constant is generated by these modes. |
1008.2309 | Jochen Zahn | Jochen Zahn | Noncommutative (supersymmetric) electrodynamics in the Yang-Feldman
formalism | 49 pages, published version | Phys.Rev.D82:105033,2010 | 10.1103/PhysRevD.82.105033 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study quantum electrodynamics on the noncommutative Minkowski space in the
Yang-Feldman formalism. Local observables are defined by using covariant
coordinates. We compute the two-point function of the interacting field
strength to second order and find the infrared divergent terms already known
from computations using the so-called modified Feynman rules. It is shown that
these lead to nonlocal renormalization ambiguities. Also new nonlocal
divergences stemming from the covariant coordinates are found. Furthermore, we
study the supersymmetric extension of the model. For this, the supersymmetric
generalization of the covariant coordinates is introduced. We find that the
nonlocal divergences cancel. At the one-loop level, the only effect of
noncommutativity is then a momentum-depenent field strength normalization. We
interpret it as an acausal effect and show that its range is independent of the
noncommutativity scale.
| [
{
"created": "Fri, 13 Aug 2010 13:16:58 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Dec 2010 15:52:34 GMT",
"version": "v2"
}
] | 2010-12-23 | [
[
"Zahn",
"Jochen",
""
]
] | We study quantum electrodynamics on the noncommutative Minkowski space in the Yang-Feldman formalism. Local observables are defined by using covariant coordinates. We compute the two-point function of the interacting field strength to second order and find the infrared divergent terms already known from computations using the so-called modified Feynman rules. It is shown that these lead to nonlocal renormalization ambiguities. Also new nonlocal divergences stemming from the covariant coordinates are found. Furthermore, we study the supersymmetric extension of the model. For this, the supersymmetric generalization of the covariant coordinates is introduced. We find that the nonlocal divergences cancel. At the one-loop level, the only effect of noncommutativity is then a momentum-depenent field strength normalization. We interpret it as an acausal effect and show that its range is independent of the noncommutativity scale. |
hep-th/0112210 | Paul Koerber | Paul Koerber, Alexander Sevrin | Getting the D-brane effective action from BPS configurations | 6 pages, proceedings of the Corfu 2001 RTN meeting | Fortsch.Phys.50:923-929,2002 | 10.1002/1521-3978(200209)50:8/9<923::AID-PROP923>3.0.CO;2-Z | null | hep-th | null | We review a method to find the non-abelian open superstring effective action,
thereby settling the issue of the ordering ambiguities. We start from solutions
to Yang-Mills which, in D-brane context, define certain BPS configurations.
Studying their deformations in the abelian case shows that the Born-Infeld
action is the unique deformation which admits solutions of this type. By
applying the method to the non-abelian case we calculated the full effective
action through O(\alpha'^3). The presence of derivative terms turns out to be
essential. Testing the result by comparing the spectrum in the presence of a
constant magnetic background field with the string theory prediction, we obtain
perfect agreement.
| [
{
"created": "Fri, 21 Dec 2001 13:30:51 GMT",
"version": "v1"
}
] | 2011-07-19 | [
[
"Koerber",
"Paul",
""
],
[
"Sevrin",
"Alexander",
""
]
] | We review a method to find the non-abelian open superstring effective action, thereby settling the issue of the ordering ambiguities. We start from solutions to Yang-Mills which, in D-brane context, define certain BPS configurations. Studying their deformations in the abelian case shows that the Born-Infeld action is the unique deformation which admits solutions of this type. By applying the method to the non-abelian case we calculated the full effective action through O(\alpha'^3). The presence of derivative terms turns out to be essential. Testing the result by comparing the spectrum in the presence of a constant magnetic background field with the string theory prediction, we obtain perfect agreement. |
1311.1168 | David Berenstein | David Berenstein, Eric Dzienkowski | Numerical Evidence for Firewalls | 4 pages, 2 figures. v2:updated references | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study thermal configurations in the BFSS matrix model produced by
numerical simulations. We do this by adding a probe brane to a typical
configuration and studying the fermionic degrees of freedom connecting the
probe to the configuration. Depending on the parameters of the probe there is a
region where these fermion modes are gapless. We argue that it is natural to
excise the gapless region from the geometry and that the black hole horizon is
located exactly at the edge of this zone. The physics inside the gapless region
is maximally non-local and effectively 1+1 dimensional. When a probe,
considered as an observer, crosses into the gapless zone there is a break down
of effective field theory where the off-diagonal fermions are integrated out.
We argue that this breakdown of effective field theory is evidence for
firewalls on black hole horizons.
| [
{
"created": "Tue, 5 Nov 2013 19:24:09 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Nov 2013 23:48:06 GMT",
"version": "v2"
}
] | 2013-11-25 | [
[
"Berenstein",
"David",
""
],
[
"Dzienkowski",
"Eric",
""
]
] | We study thermal configurations in the BFSS matrix model produced by numerical simulations. We do this by adding a probe brane to a typical configuration and studying the fermionic degrees of freedom connecting the probe to the configuration. Depending on the parameters of the probe there is a region where these fermion modes are gapless. We argue that it is natural to excise the gapless region from the geometry and that the black hole horizon is located exactly at the edge of this zone. The physics inside the gapless region is maximally non-local and effectively 1+1 dimensional. When a probe, considered as an observer, crosses into the gapless zone there is a break down of effective field theory where the off-diagonal fermions are integrated out. We argue that this breakdown of effective field theory is evidence for firewalls on black hole horizons. |
2201.04250 | Dine Ousmane Samary | Vincent Lahoche, Dine Ousmane Samary, Mohamed Tamaazousti | Functional Renormalization Group Approach for Signal Detection | 101 pages, 41 figures | null | null | null | hep-th cond-mat.dis-nn | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This review paper uses renormalization group techniques for signal detection
in nearly-continuous positive spectra. We highlight universal aspects of the
analogue field-theory approach. The first aim is to present an extended
self-consistent construction of the analogue effective field-theory framework
for data, which can be viewed as a maximum entropy model. In particular and
exploiting universality arguments, we justify the $\mathbb{Z}_2$-symmetry of
the classical action and we stress the existence of a large-scale (local)
regime and of a small-scale (nonlocal) regime. Secondly and related to noise
models, we observe the universal relation between phase transition and symmetry
breaking in the vicinity of the detection threshold. Finally, we discuss the
issue of defining the covariance matrix for tensorial-like data. Based on the
cutting graph prescription, we note the superiority of definitions based on
complete graphs of large size for data analysis.
| [
{
"created": "Wed, 12 Jan 2022 00:16:09 GMT",
"version": "v1"
},
{
"created": "Sat, 3 Jun 2023 10:41:31 GMT",
"version": "v2"
}
] | 2023-06-06 | [
[
"Lahoche",
"Vincent",
""
],
[
"Samary",
"Dine Ousmane",
""
],
[
"Tamaazousti",
"Mohamed",
""
]
] | This review paper uses renormalization group techniques for signal detection in nearly-continuous positive spectra. We highlight universal aspects of the analogue field-theory approach. The first aim is to present an extended self-consistent construction of the analogue effective field-theory framework for data, which can be viewed as a maximum entropy model. In particular and exploiting universality arguments, we justify the $\mathbb{Z}_2$-symmetry of the classical action and we stress the existence of a large-scale (local) regime and of a small-scale (nonlocal) regime. Secondly and related to noise models, we observe the universal relation between phase transition and symmetry breaking in the vicinity of the detection threshold. Finally, we discuss the issue of defining the covariance matrix for tensorial-like data. Based on the cutting graph prescription, we note the superiority of definitions based on complete graphs of large size for data analysis. |
1109.1065 | Tanmay Vachaspati | Tanmay Vachaspati | Soliton Creation with a Twist | 10 pages, 4 figures | null | 10.1103/PhysRevD.84.125003 | null | hep-th cond-mat.other hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider soliton creation when there are "twist" degrees of freedom
present in the model in addition to those that make up the soliton.
Specifically we consider a deformed O(3) sigma model in 1+1 dimensions, which
reduces to the sine-Gordon model in the zero twist sector. We study the
scattering of two or more breather solutions as a function of twist, and find
soliton creation for a range of parameters. We speculate on the application of
these ideas, in particular on the possible role of magnetic helicity, to the
production of magnetic monopoles, and the violation of baryon number in nuclear
scattering experiments.
| [
{
"created": "Tue, 6 Sep 2011 05:22:08 GMT",
"version": "v1"
}
] | 2013-05-29 | [
[
"Vachaspati",
"Tanmay",
""
]
] | We consider soliton creation when there are "twist" degrees of freedom present in the model in addition to those that make up the soliton. Specifically we consider a deformed O(3) sigma model in 1+1 dimensions, which reduces to the sine-Gordon model in the zero twist sector. We study the scattering of two or more breather solutions as a function of twist, and find soliton creation for a range of parameters. We speculate on the application of these ideas, in particular on the possible role of magnetic helicity, to the production of magnetic monopoles, and the violation of baryon number in nuclear scattering experiments. |
0802.1779 | Ulf Gran | U. Gran, J. Gutowski, G. Papadopoulos | Geometry of all supersymmetric four-dimensional ${\cal N}=1$
supergravity backgrounds | 15 pages; minor changes, references added, published version | JHEP 0806:102,2008 | 10.1088/1126-6708/2008/06/102 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We solve the Killing spinor equations of ${\cal N}=1$ supergravity, with four
supercharges, coupled to any number of vector and scalar multiplets in all
cases. We find that backgrounds with N=1 supersymmetry admit a null,
integrable, Killing vector field. There are two classes of N=2 backgrounds. The
spacetime in the first class admits a parallel null vector field and so it is a
pp-wave. The spacetime of the other class admits three Killing vector fields,
and a vector field that commutes with the three Killing directions. These
backgrounds are of cohomogeneity one with homogenous sections either
$\bR^{2,1}$ or $AdS_3$ and have an interpretation as domain walls. The N=3
backgrounds are locally maximally supersymmetric. There are N=3 backgrounds
which arise as discrete identifications of maximally supersymmetric ones. The
maximally supersymmetric backgrounds are locally isometric to either
$\bR^{3,1}$ or $AdS_4$.
| [
{
"created": "Wed, 13 Feb 2008 18:51:13 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Jun 2008 19:01:57 GMT",
"version": "v2"
}
] | 2009-10-09 | [
[
"Gran",
"U.",
""
],
[
"Gutowski",
"J.",
""
],
[
"Papadopoulos",
"G.",
""
]
] | We solve the Killing spinor equations of ${\cal N}=1$ supergravity, with four supercharges, coupled to any number of vector and scalar multiplets in all cases. We find that backgrounds with N=1 supersymmetry admit a null, integrable, Killing vector field. There are two classes of N=2 backgrounds. The spacetime in the first class admits a parallel null vector field and so it is a pp-wave. The spacetime of the other class admits three Killing vector fields, and a vector field that commutes with the three Killing directions. These backgrounds are of cohomogeneity one with homogenous sections either $\bR^{2,1}$ or $AdS_3$ and have an interpretation as domain walls. The N=3 backgrounds are locally maximally supersymmetric. There are N=3 backgrounds which arise as discrete identifications of maximally supersymmetric ones. The maximally supersymmetric backgrounds are locally isometric to either $\bR^{3,1}$ or $AdS_4$. |
1409.1937 | Simone Giombi | Simone Giombi, Igor R. Klebanov | Interpolating between $a$ and $F$ | 41 pages, 4 figures. v4: Eqs. (1.6), (4.13) and (5.37) corrected;
footnote 9 added discussing the Euler density counterterm | null | null | PUPT-2472 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the dimensional continuation of the sphere free energy in conformal
field theories. In continuous dimension $d$ we define the quantity $\tilde
F=\sin (\pi d/2)\log Z$, where $Z$ is the path integral of the Euclidean CFT on
the $d$-dimensional round sphere. $\tilde F$ smoothly interpolates between
$(-1)^{d/2}\pi/2$ times the $a$-anomaly coefficient in even $d$, and
$(-1)^{(d+1)/2}$ times the sphere free energy $F$ in odd $d$. We calculate
$\tilde F$ in various examples of unitary CFT that can be continued to
non-integer dimensions, including free theories, double-trace deformations at
large $N$, and perturbative fixed points in the $\epsilon$ expansion. For all
these examples $\tilde F$ is positive, and it decreases under RG flow. Using
perturbation theory in the coupling, we calculate $\tilde F$ in the
Wilson-Fisher fixed point of the $O(N)$ vector model in $d=4-\epsilon$ to order
$\epsilon^4$. We use this result to estimate the value of $F$ in the
3-dimensional Ising model, and find that it is only a few percent below $F$ of
the free conformally coupled scalar field. We use similar methods to estimate
the $F$ values for the $U(N)$ Gross-Neveu model in $d=3$ and the $O(N)$ model
in $d=5$. Finally, we carry out the dimensional continuation of interacting
theories with 4 supercharges, for which we suggest that $\tilde F$ may be
calculated exactly using an appropriate version of localization on $S^d$. Our
approach provides an interpolation between the $a$-maximization in $d=4$ and
the $F$-maximization in $d=3$.
| [
{
"created": "Fri, 5 Sep 2014 20:16:31 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Dec 2014 19:54:28 GMT",
"version": "v2"
},
{
"created": "Tue, 31 Mar 2015 07:04:39 GMT",
"version": "v3"
},
{
"created": "Tue, 5 May 2015 17:31:38 GMT",
"version": "v4"
}
] | 2015-05-06 | [
[
"Giombi",
"Simone",
""
],
[
"Klebanov",
"Igor R.",
""
]
] | We study the dimensional continuation of the sphere free energy in conformal field theories. In continuous dimension $d$ we define the quantity $\tilde F=\sin (\pi d/2)\log Z$, where $Z$ is the path integral of the Euclidean CFT on the $d$-dimensional round sphere. $\tilde F$ smoothly interpolates between $(-1)^{d/2}\pi/2$ times the $a$-anomaly coefficient in even $d$, and $(-1)^{(d+1)/2}$ times the sphere free energy $F$ in odd $d$. We calculate $\tilde F$ in various examples of unitary CFT that can be continued to non-integer dimensions, including free theories, double-trace deformations at large $N$, and perturbative fixed points in the $\epsilon$ expansion. For all these examples $\tilde F$ is positive, and it decreases under RG flow. Using perturbation theory in the coupling, we calculate $\tilde F$ in the Wilson-Fisher fixed point of the $O(N)$ vector model in $d=4-\epsilon$ to order $\epsilon^4$. We use this result to estimate the value of $F$ in the 3-dimensional Ising model, and find that it is only a few percent below $F$ of the free conformally coupled scalar field. We use similar methods to estimate the $F$ values for the $U(N)$ Gross-Neveu model in $d=3$ and the $O(N)$ model in $d=5$. Finally, we carry out the dimensional continuation of interacting theories with 4 supercharges, for which we suggest that $\tilde F$ may be calculated exactly using an appropriate version of localization on $S^d$. Our approach provides an interpolation between the $a$-maximization in $d=4$ and the $F$-maximization in $d=3$. |
1903.09133 | Alok Laddha | Miguel Campiglia, Alok Laddha | Loop Corrected Soft Photon Theorem as a Ward Identity | 33 pages, no figures | null | 10.1007/JHEP10(2019)287 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently Sahoo and Sen obtained a series of remarkable results concerning
sub-leading soft photon and graviton theorems in four dimensions. Even though
the S- matrix is infrared divergent, they have shown that the sub-leading soft
theorems are well defined and exact statements in QED and perturbative Quantum
Gravity. However unlike the well studied Cachazo-Strominger soft theorems in
tree-level amplitudes, the new sub-leading soft expansion is at the order ln
{\omega} (where {\omega} is the soft frequency) and the corresponding soft
factors structurally show completely different properties then their tree-level
counterparts. Whence it is natural to ask if these theorems are associated to
asymptotic symmetries of the S-matrix. We consider this question in the context
of sub-leading soft photon theorem in scalar QED and show that there are indeed
an infinity of conservation laws whose Ward identities are equivalent to the
loop-corrected soft photon theorem. This shows that in the case of four
dimensional QED, the leading and sub-leading soft photon theorems are
equivalent to Ward identities of (asymptotic) charges.
| [
{
"created": "Thu, 21 Mar 2019 17:45:55 GMT",
"version": "v1"
}
] | 2020-01-08 | [
[
"Campiglia",
"Miguel",
""
],
[
"Laddha",
"Alok",
""
]
] | Recently Sahoo and Sen obtained a series of remarkable results concerning sub-leading soft photon and graviton theorems in four dimensions. Even though the S- matrix is infrared divergent, they have shown that the sub-leading soft theorems are well defined and exact statements in QED and perturbative Quantum Gravity. However unlike the well studied Cachazo-Strominger soft theorems in tree-level amplitudes, the new sub-leading soft expansion is at the order ln {\omega} (where {\omega} is the soft frequency) and the corresponding soft factors structurally show completely different properties then their tree-level counterparts. Whence it is natural to ask if these theorems are associated to asymptotic symmetries of the S-matrix. We consider this question in the context of sub-leading soft photon theorem in scalar QED and show that there are indeed an infinity of conservation laws whose Ward identities are equivalent to the loop-corrected soft photon theorem. This shows that in the case of four dimensional QED, the leading and sub-leading soft photon theorems are equivalent to Ward identities of (asymptotic) charges. |
1612.08682 | Mark Srednicki | Ben Michel and Mark Srednicki | Entanglement Entropy and Boundary Conditions in 1+1 Dimensions | 16 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Calculations of the entanglement entropy of a spatial region in continuum
quantum field theory require boundary conditions on the fields at the
fictitious boundary of the region. These boundary conditions impact the
treatment of the zero modes of the fields and their contribution to the
entanglement entropy. We explore this issue in the simplest example, the c=1
compact-boson conformal field theory in 1+1 dimensions. We consider three
different types of boundary conditions: spatial Neumann, temporal Neumann, and
Dirichlet. We argue that the first two are well motivated, and show that they
lead to the same result for the Renyi entropies as well as the entanglement
entropy, including a constant term that corresponds to the Affleck-Ludwig
boundary entropy. The last set of boundary conditions is less well motivated,
and leads to a different value of the constant term. The two values are related
by a duality transformation on the compact boson. We also verify some of our
results with heat-kernel methods.
| [
{
"created": "Tue, 27 Dec 2016 17:07:08 GMT",
"version": "v1"
}
] | 2016-12-28 | [
[
"Michel",
"Ben",
""
],
[
"Srednicki",
"Mark",
""
]
] | Calculations of the entanglement entropy of a spatial region in continuum quantum field theory require boundary conditions on the fields at the fictitious boundary of the region. These boundary conditions impact the treatment of the zero modes of the fields and their contribution to the entanglement entropy. We explore this issue in the simplest example, the c=1 compact-boson conformal field theory in 1+1 dimensions. We consider three different types of boundary conditions: spatial Neumann, temporal Neumann, and Dirichlet. We argue that the first two are well motivated, and show that they lead to the same result for the Renyi entropies as well as the entanglement entropy, including a constant term that corresponds to the Affleck-Ludwig boundary entropy. The last set of boundary conditions is less well motivated, and leads to a different value of the constant term. The two values are related by a duality transformation on the compact boson. We also verify some of our results with heat-kernel methods. |
hep-th/0103249 | Richard D. Ball | R.D. Ball, P.H. Damgaard | The C-Theorem and Chiral Symmetry Breaking in Asymptotically Free
Vectorlike Gauge Theories | 8 pages, no figures, a few references added | Phys.Lett. B510 (2001) 341-346 | 10.1016/S0370-2693(01)00594-9 | CERN-TH/2001-077, Edinburgh 2001-01, NBI-HE-01-04 | hep-th | null | We confront Cardy's suggested c-function for four-dimensional field theories
with the spontaneous breaking of chiral symmetries in asymptotically free
vectorlike gauge theories with fermions transforming according to different
representations under the gauge group. Assuming that the infrared limit of the
c-function is determined by the dimension of the associated Goldstone manifold,
we find that this c-function always decreases between the ultraviolet and
infrared fixed points.
| [
{
"created": "Thu, 29 Mar 2001 13:56:58 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Apr 2001 12:48:15 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Ball",
"R. D.",
""
],
[
"Damgaard",
"P. H.",
""
]
] | We confront Cardy's suggested c-function for four-dimensional field theories with the spontaneous breaking of chiral symmetries in asymptotically free vectorlike gauge theories with fermions transforming according to different representations under the gauge group. Assuming that the infrared limit of the c-function is determined by the dimension of the associated Goldstone manifold, we find that this c-function always decreases between the ultraviolet and infrared fixed points. |
2105.06434 | Maxence Corman | Maxence Corman, William E. East and Matthew C. Johnson | Nonlinear dynamics of flux compactification | 37 pages, 12 figures, changed to match JHEP version | J. High Energ. Phys. 2021, 21 (2021) | 10.1007/JHEP09(2021)021 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We study the nonlinear evolution of unstable flux compactifications, applying
numerical relativity techniques to solve the Einstein equations in $D$
dimensions coupled to a $q$-form field and positive cosmological constant. We
show that initially homogeneous flux compactifications are unstable to
dynamically forming warped compactifications. In some cases, we find that the
warping process can serve as a toy-model of slow-roll inflation, while in other
instances, we find solutions that eventually evolve to a singular state.
Analogous to dynamical black hole horizons, we use the geometric properties of
marginally trapped surfaces to characterize the lower dimensional vacua in the
inhomogeneous and dynamical settings we consider. We find that
lower-dimensional vacua with a lower expansion rate are dynamically favoured,
and in some cases find spacetimes that undergo a period of accelerated
expansion followed by contraction.
| [
{
"created": "Thu, 13 May 2021 17:14:34 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Sep 2021 00:10:00 GMT",
"version": "v2"
}
] | 2021-09-13 | [
[
"Corman",
"Maxence",
""
],
[
"East",
"William E.",
""
],
[
"Johnson",
"Matthew C.",
""
]
] | We study the nonlinear evolution of unstable flux compactifications, applying numerical relativity techniques to solve the Einstein equations in $D$ dimensions coupled to a $q$-form field and positive cosmological constant. We show that initially homogeneous flux compactifications are unstable to dynamically forming warped compactifications. In some cases, we find that the warping process can serve as a toy-model of slow-roll inflation, while in other instances, we find solutions that eventually evolve to a singular state. Analogous to dynamical black hole horizons, we use the geometric properties of marginally trapped surfaces to characterize the lower dimensional vacua in the inhomogeneous and dynamical settings we consider. We find that lower-dimensional vacua with a lower expansion rate are dynamically favoured, and in some cases find spacetimes that undergo a period of accelerated expansion followed by contraction. |
1402.6997 | Aram Saharian | S. Bellucci, A. A. Saharian, A. H. Yeranyan | Casimir densities from coexisting vacua | 31 pages, 5 figures | Phys. Rev. D 89, 105006 (2014) | 10.1103/PhysRevD.89.105006 | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Wightman function, the vacuum expectation values (VEVs) of the field squared
and the energy-momentum tensor are investigated for a massive scalar field with
general curvature coupling in a spherically symmetric static background
geometry described by two distinct metric tensors inside and outside a
spherical boundary. The exterior and interior geometries can correspond to
different vacuum states of the same theory. In the region outside the sphere,
the contributions in the VEVs, induced by the interior geometry, are explicitly
separated. For the special case of the Minkowskian exterior geometry, the
asymptotics of the VEVs near the boundary and at large distances are discussed
in detail. In particular, it has been shown that the divergences on the
boundary are weaker than in the problem of a spherical boundary in Minkowski
spacetime with Dirichlet or Neumann boundary conditions. As an application of
general results, dS and AdS spaces are considered as examples of the interior
geometry. For AdS interior there are no bound states. In the case of dS
geometry and for nonminimally coupled fields, bound states appear for a radius
of the separating boundary sufficiently close to the dS horizon. Starting from
a critical value of the radius the Minkowskian vacuum in the exterior region
becomes unstable. For small values of the AdS curvature radius, to the leading
order, the VEVs in the exterior region coincide with those for a spherical
boundary in Minkowski spacetime with Dirichlet boundary condition. The
exceptions are the cases of minimal and conformal couplings: for a minimal
coupling the VEVs are reduced to the case with Neumann boundary condition,
whereas for a conformally coupled field there is no reduction to Dirichlet or
Neumann results.
| [
{
"created": "Fri, 7 Feb 2014 14:31:58 GMT",
"version": "v1"
}
] | 2014-05-14 | [
[
"Bellucci",
"S.",
""
],
[
"Saharian",
"A. A.",
""
],
[
"Yeranyan",
"A. H.",
""
]
] | Wightman function, the vacuum expectation values (VEVs) of the field squared and the energy-momentum tensor are investigated for a massive scalar field with general curvature coupling in a spherically symmetric static background geometry described by two distinct metric tensors inside and outside a spherical boundary. The exterior and interior geometries can correspond to different vacuum states of the same theory. In the region outside the sphere, the contributions in the VEVs, induced by the interior geometry, are explicitly separated. For the special case of the Minkowskian exterior geometry, the asymptotics of the VEVs near the boundary and at large distances are discussed in detail. In particular, it has been shown that the divergences on the boundary are weaker than in the problem of a spherical boundary in Minkowski spacetime with Dirichlet or Neumann boundary conditions. As an application of general results, dS and AdS spaces are considered as examples of the interior geometry. For AdS interior there are no bound states. In the case of dS geometry and for nonminimally coupled fields, bound states appear for a radius of the separating boundary sufficiently close to the dS horizon. Starting from a critical value of the radius the Minkowskian vacuum in the exterior region becomes unstable. For small values of the AdS curvature radius, to the leading order, the VEVs in the exterior region coincide with those for a spherical boundary in Minkowski spacetime with Dirichlet boundary condition. The exceptions are the cases of minimal and conformal couplings: for a minimal coupling the VEVs are reduced to the case with Neumann boundary condition, whereas for a conformally coupled field there is no reduction to Dirichlet or Neumann results. |
2308.04027 | Sen Hu | Sen Hu and Andrey Losev | Feynman geometry | null | null | null | null | hep-th math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | In this paper we introduce a notion of Feynman geometry on which quantum
field theories could be properly defined. A strong Feynman geometry is a
geometry when the vector space of $A_\infty$ structures is finite dimensional.
A weak Feynman geometry is a geometry when the vector space of $A_\infty$
structures is infinite dimensional while the relevant operators are of
trace-class. We construct families of Feynman geometries with "continuum" as
their limit.
| [
{
"created": "Tue, 8 Aug 2023 04:03:47 GMT",
"version": "v1"
}
] | 2023-08-09 | [
[
"Hu",
"Sen",
""
],
[
"Losev",
"Andrey",
""
]
] | In this paper we introduce a notion of Feynman geometry on which quantum field theories could be properly defined. A strong Feynman geometry is a geometry when the vector space of $A_\infty$ structures is finite dimensional. A weak Feynman geometry is a geometry when the vector space of $A_\infty$ structures is infinite dimensional while the relevant operators are of trace-class. We construct families of Feynman geometries with "continuum" as their limit. |
hep-th/0412262 | Ludwik Turko | J. Cleymans, K. Redlich, L. Turko | Probability distributions in statistical ensembles with conserved
charges | 5 pages. A little bit shorter version due to some editorial and
language changes. To be published in Phys. Rev. C | Phys.Rev. C71 (2005) 047902 | 10.1103/PhysRevC.71.047902 | null | hep-th | null | The probability distributions for charged particle numbers and their
densities are derived in statistical ensembles with conservation laws. It is
shown that if this limit is properly taken then the canonical and grand
canonical ensembles are equivalent. This equivalence is proven on the most
general, probability distribution level.
| [
{
"created": "Tue, 21 Dec 2004 18:12:22 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Mar 2005 13:39:04 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Cleymans",
"J.",
""
],
[
"Redlich",
"K.",
""
],
[
"Turko",
"L.",
""
]
] | The probability distributions for charged particle numbers and their densities are derived in statistical ensembles with conservation laws. It is shown that if this limit is properly taken then the canonical and grand canonical ensembles are equivalent. This equivalence is proven on the most general, probability distribution level. |
hep-th/0106180 | Volovich Anastasia | Marcus Spradlin and Anastasia Volovich | Noncommutative solitons on Kahler manifolds | 26 pages, 3 figures, harvmac; references added | JHEP 0203 (2002) 011 | 10.1088/1126-6708/2002/03/011 | null | hep-th math-ph math.MP math.QA | null | We construct a new class of scalar noncommutative multi-solitons on an
arbitrary Kahler manifold by using Berezin's geometric approach to quantization
and its generalization to deformation quantization. We analyze the stability
condition which arises from the leading 1/hbar correction to the soliton energy
and for homogeneous Kahler manifolds obtain that the stable solitons are given
in terms of generalized coherent states. We apply this general formalism to a
number of examples, which include the sphere, hyperbolic plane, torus and
general symmetric bounded domains. As a general feature we notice that on
homogeneous manifolds of positive curvature, solitons tend to attract each
other, while if the curvature is negative they will repel each other.
Applications of these results are discussed.
| [
{
"created": "Wed, 20 Jun 2001 00:32:25 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Jul 2001 07:55:21 GMT",
"version": "v2"
},
{
"created": "Fri, 28 Jun 2002 15:19:17 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Spradlin",
"Marcus",
""
],
[
"Volovich",
"Anastasia",
""
]
] | We construct a new class of scalar noncommutative multi-solitons on an arbitrary Kahler manifold by using Berezin's geometric approach to quantization and its generalization to deformation quantization. We analyze the stability condition which arises from the leading 1/hbar correction to the soliton energy and for homogeneous Kahler manifolds obtain that the stable solitons are given in terms of generalized coherent states. We apply this general formalism to a number of examples, which include the sphere, hyperbolic plane, torus and general symmetric bounded domains. As a general feature we notice that on homogeneous manifolds of positive curvature, solitons tend to attract each other, while if the curvature is negative they will repel each other. Applications of these results are discussed. |
1812.01822 | Ryota Kojima | Ryota Kojima | Triangulation of 2-loop MHV Amplituhedron from Sign Flips | 33 pages, 4 figures, | JHEP04(2019)085 | 10.1007/JHEP04(2019)085 | KEK-TH-2088 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we consider the triangulation of 2-loop MHV amplituhedron from
"sign flip" definition. Using the isomorphism between $m=2, k=2$ tree
amplituhedron and 1-loop MHV physical amplituhedron, we found the direct
triangulation of 2-loop MHV amplituhedron from sign flip. This triangulation is
different from the BCFW triangulation because of the structure of the cells.
And we also found a formula of the canonical form of $n$-point 2-loop MHV
amplituhedron. This formula looks like a 2-loop version of the Kermit
representation of 1-loop MHV amplitude. We checked that the sum of these cells
of direct triangulation and BCFW or double pentagon diagram, these are
consistent up to at least 22-pt amplitude numerically.
| [
{
"created": "Wed, 5 Dec 2018 05:32:36 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Apr 2019 03:51:13 GMT",
"version": "v2"
}
] | 2019-04-16 | [
[
"Kojima",
"Ryota",
""
]
] | In this paper, we consider the triangulation of 2-loop MHV amplituhedron from "sign flip" definition. Using the isomorphism between $m=2, k=2$ tree amplituhedron and 1-loop MHV physical amplituhedron, we found the direct triangulation of 2-loop MHV amplituhedron from sign flip. This triangulation is different from the BCFW triangulation because of the structure of the cells. And we also found a formula of the canonical form of $n$-point 2-loop MHV amplituhedron. This formula looks like a 2-loop version of the Kermit representation of 1-loop MHV amplitude. We checked that the sum of these cells of direct triangulation and BCFW or double pentagon diagram, these are consistent up to at least 22-pt amplitude numerically. |
1411.4636 | Pramod Shukla | Anupam Mazumdar and Pramod Shukla | Some inequalities bridging stringy parameters and cosmological
observables | v2: 17 pages, 4 figures, 1 table; Significant text expansion (from 4
pages to 17 pages) with better clarifications added, title changed, 4 figures
included, improved referencing, No change in the results and conclusions | null | null | null | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | By demanding the validity of an effective field theory description during
inflation, in this note we derive some peculiar inequalities among the three
interesting stringy and cosmological parameters, namely the tensor-to-scalar
ratio ($r$), the string coupling ($g_s$) and the compactification volume
(${\cal V}$). In deriving these inequalities, we explicitly demand that the
inflationary scale and the Hubble parameter during inflation are well below the
Kaluza-Klein (KK) mass scale, string scale, and the four dimensional Planck
mass. For the inflationary models developed within the framework of type IIB
orientifold comapctification, we investigate the regions of parameters space
spanned by the three parameters $(r, g_s, {\cal V})$ by satisfying our
inequalities, and we find that the same can reduce the size of available
parameter space quite significantly. Moreover, we comment on obtaining further
constraints on the parameters by comparing gravitino mass ($m_{3/2}$) with the
Hubble scale ($H$), which also provides a lower bound on tensor-to-scalar ratio
($r$), for the cases when $m_{3/2} <H$. We also illustrate the outcome of our
bounds in some specific class of string(-inspired) models.
| [
{
"created": "Mon, 17 Nov 2014 20:46:23 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Jul 2016 18:53:53 GMT",
"version": "v2"
}
] | 2016-07-04 | [
[
"Mazumdar",
"Anupam",
""
],
[
"Shukla",
"Pramod",
""
]
] | By demanding the validity of an effective field theory description during inflation, in this note we derive some peculiar inequalities among the three interesting stringy and cosmological parameters, namely the tensor-to-scalar ratio ($r$), the string coupling ($g_s$) and the compactification volume (${\cal V}$). In deriving these inequalities, we explicitly demand that the inflationary scale and the Hubble parameter during inflation are well below the Kaluza-Klein (KK) mass scale, string scale, and the four dimensional Planck mass. For the inflationary models developed within the framework of type IIB orientifold comapctification, we investigate the regions of parameters space spanned by the three parameters $(r, g_s, {\cal V})$ by satisfying our inequalities, and we find that the same can reduce the size of available parameter space quite significantly. Moreover, we comment on obtaining further constraints on the parameters by comparing gravitino mass ($m_{3/2}$) with the Hubble scale ($H$), which also provides a lower bound on tensor-to-scalar ratio ($r$), for the cases when $m_{3/2} <H$. We also illustrate the outcome of our bounds in some specific class of string(-inspired) models. |
hep-th/9310095 | Alexios Polychronakos | Alexios P. Polychronakos | Exact Spectrum of SU(n) Spin Chain with Inverse-Square Exchange | 12 pages, CERN-TH-7040/93 | Nucl.Phys. B419 (1994) 553-566 | 10.1016/0550-3213(94)90344-1 | null | hep-th | null | The spectrum and partition function of a model consisting of SU(n) spins
positioned at the equilibrium positions of a classical Calogero model and
interacting through inverse-square exchange are derived. The energy levels are
equidistant and have a high degree of degeneracy, with several SU(n) multiplets
belonging to the same energy eigenspace. The partition function takes the form
of a q-deformed polynomial. This leads to a description of the system by means
of an effective parafermionic hamiltonian, and to a classification of the
states in terms of "modules" consisting of base-n strings of integers.
| [
{
"created": "Fri, 15 Oct 1993 14:09:09 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Polychronakos",
"Alexios P.",
""
]
] | The spectrum and partition function of a model consisting of SU(n) spins positioned at the equilibrium positions of a classical Calogero model and interacting through inverse-square exchange are derived. The energy levels are equidistant and have a high degree of degeneracy, with several SU(n) multiplets belonging to the same energy eigenspace. The partition function takes the form of a q-deformed polynomial. This leads to a description of the system by means of an effective parafermionic hamiltonian, and to a classification of the states in terms of "modules" consisting of base-n strings of integers. |
1404.1694 | Matthias R. Gaberdiel | Matteo Beccaria, Constantin Candu and Matthias R. Gaberdiel | The large $\mathcal{N}=4$ superconformal $\mathcal{W}_\infty$ algebra | 37 pages; v2: reference added and typo fixed | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The most general large ${\cal N}=4$ superconformal ${\cal W}_{\infty}$
algebra, containing in addition to the superconformal algebra one
supermultiplet for each integer spin, is analysed in detail. It is found that
the ${\cal W}_{\infty}$ algebra is uniquely determined by the levels of the two
$\mathfrak{su}(2)$ algebras, a conclusion that holds both for the linear and
the non-linear case. We also perform various cross-checks of our analysis, and
exhibit two different types of truncations in some detail.
| [
{
"created": "Mon, 7 Apr 2014 08:46:19 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Jan 2017 10:50:25 GMT",
"version": "v2"
}
] | 2017-01-27 | [
[
"Beccaria",
"Matteo",
""
],
[
"Candu",
"Constantin",
""
],
[
"Gaberdiel",
"Matthias R.",
""
]
] | The most general large ${\cal N}=4$ superconformal ${\cal W}_{\infty}$ algebra, containing in addition to the superconformal algebra one supermultiplet for each integer spin, is analysed in detail. It is found that the ${\cal W}_{\infty}$ algebra is uniquely determined by the levels of the two $\mathfrak{su}(2)$ algebras, a conclusion that holds both for the linear and the non-linear case. We also perform various cross-checks of our analysis, and exhibit two different types of truncations in some detail. |
hep-th/9911002 | Raphael Bousso | Raphael Bousso | The Holographic Principle for General Backgrounds | 15 pages, 4 figures. Based on a talk given at Strings '99. Includes a
reply to recent criticism. For more details, examples, and references, see
hep-th/9905177 and hep-th/9906022 | Class.Quant.Grav.17:997-1005,2000 | 10.1088/0264-9381/17/5/309 | SU-ITP-99-48 | hep-th gr-qc | null | We aim to establish the holographic principle as a universal law, rather than
a property only of static systems and special space-times. Our covariant
formalism yields an upper bound on entropy which applies to both open and
closed surfaces, independently of shape or location. It reduces to the
Bekenstein bound whenever the latter is expected to hold, but complements it
with novel bounds when gravity dominates. In particular, it remains valid in
closed FRW cosmologies and in the interior of black holes. We give an explicit
construction for obtaining holographic screens in arbitrary space-times (which
need not have a boundary). This may aid the search for non-perturbative
definitions of quantum gravity in space-times other than AdS.
| [
{
"created": "Tue, 2 Nov 1999 03:59:48 GMT",
"version": "v1"
}
] | 2011-04-15 | [
[
"Bousso",
"Raphael",
""
]
] | We aim to establish the holographic principle as a universal law, rather than a property only of static systems and special space-times. Our covariant formalism yields an upper bound on entropy which applies to both open and closed surfaces, independently of shape or location. It reduces to the Bekenstein bound whenever the latter is expected to hold, but complements it with novel bounds when gravity dominates. In particular, it remains valid in closed FRW cosmologies and in the interior of black holes. We give an explicit construction for obtaining holographic screens in arbitrary space-times (which need not have a boundary). This may aid the search for non-perturbative definitions of quantum gravity in space-times other than AdS. |
0909.1170 | Solange Odile Saliu | C. Bizdadea, S. O. Saliu, E. M. Babalic | Selfinteractions in collections of massless tensor fields with the mixed
symmetry (3,1) and (2,2) | 29 pages | Physics AUC 19 (2009) 1 | null | null | hep-th | 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 selfinteractions that can be added to a
collection of massless tensor fields with the mixed symmetry (3,1) and
respectively (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 no selfinteractions that deform the original
gauge transformations emerge. In the case of the collection of (2,2) tensor
fields it is possible to add a sum of cosmological terms to the free
Lagrangian.
| [
{
"created": "Mon, 7 Sep 2009 10:57:37 GMT",
"version": "v1"
}
] | 2009-09-08 | [
[
"Bizdadea",
"C.",
""
],
[
"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 selfinteractions that can be added to a collection of massless tensor fields with the mixed symmetry (3,1) and respectively (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 no selfinteractions that deform the original gauge transformations emerge. In the case of the collection of (2,2) tensor fields it is possible to add a sum of cosmological terms to the free Lagrangian. |
hep-th/0208005 | Dr Pascal Baseilhac | P. Baseilhac, K. Koizumi | Sine-Gordon quantum field theory on the half-line with quantum boundary
degrees of freedom | 15 pages, LaTeX file with amssymb, v2: references added, Comments
added, typos corrected. To appear in Nucl.Phys. B | Nucl.Phys.B649:491-510,2003 | 10.1016/S0550-3213(02)00980-X | YITP-02-39 | hep-th cond-mat math-ph math.MP nlin.SI | null | The sine-Gordon model on the half-line with a dynamical boundary introduced
by Delius and one of the authors is considered at quantum level. Classical
boundary conditions associated with classical integrability are shown to be
preserved at quantum level too. Non-local conserved charges are constructed
explicitly in terms of the field and boundary operators. We solve the
intertwining equation associated with a certain coideal subalgebra of
$U_q(\hat{sl_2})$ generated by these non-local charges. The corresponding
solution is shown to satisfy quantum boundary Yang-Baxter equations. Up to an
exact relation between the quantization length of the boundary quantum
mechanical system and the sine-Gordon coupling constant, we conjecture the
soliton/antisoliton reflection matrix and boundstates reflection matrices. The
structure of the boundary state is then considered, and shown to be divided in
two sectors. Also, depending on the sine-Gordon coupling constant a finite set
of boundary bound states are identified. Taking the analytic continuation of
the coupling, the corresponding boundary sinh-Gordon model is briefly
discussed. In particular, the particle reflection factor enjoys weak-strong
coupling duality.
| [
{
"created": "Thu, 1 Aug 2002 10:19:36 GMT",
"version": "v1"
},
{
"created": "Sat, 2 Nov 2002 01:01:28 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Baseilhac",
"P.",
""
],
[
"Koizumi",
"K.",
""
]
] | The sine-Gordon model on the half-line with a dynamical boundary introduced by Delius and one of the authors is considered at quantum level. Classical boundary conditions associated with classical integrability are shown to be preserved at quantum level too. Non-local conserved charges are constructed explicitly in terms of the field and boundary operators. We solve the intertwining equation associated with a certain coideal subalgebra of $U_q(\hat{sl_2})$ generated by these non-local charges. The corresponding solution is shown to satisfy quantum boundary Yang-Baxter equations. Up to an exact relation between the quantization length of the boundary quantum mechanical system and the sine-Gordon coupling constant, we conjecture the soliton/antisoliton reflection matrix and boundstates reflection matrices. The structure of the boundary state is then considered, and shown to be divided in two sectors. Also, depending on the sine-Gordon coupling constant a finite set of boundary bound states are identified. Taking the analytic continuation of the coupling, the corresponding boundary sinh-Gordon model is briefly discussed. In particular, the particle reflection factor enjoys weak-strong coupling duality. |
hep-th/0512004 | Qing-Guo Huang | Qing-Guo Huang | Holographic Principle and Quantum Cosmology | 8 pages, harvmac; corrections and references added | null | null | null | hep-th | null | Using the holographic entropy proposal for a closed universe by Verlinde, a
bound on equations of state for different stages of the universe is obtained.
Further exploring this bound, we find that an inflationary universe naturally
emerges in the early universe and today's dark energy is also needed in the
quantum cosmological scenario.
| [
{
"created": "Thu, 1 Dec 2005 01:11:58 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Dec 2005 02:51:05 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Huang",
"Qing-Guo",
""
]
] | Using the holographic entropy proposal for a closed universe by Verlinde, a bound on equations of state for different stages of the universe is obtained. Further exploring this bound, we find that an inflationary universe naturally emerges in the early universe and today's dark energy is also needed in the quantum cosmological scenario. |
1304.6537 | S. Kalyana Rama | S. Kalyana Rama | M theory Branes : U duality properties and a class of new Static
Solutions | 46 pages v2: References added | Physical Review D 88: 044007, 2013 | 10.1103/PhysRevD.88.044007 | IMSc/2013/04/03 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We obtain the most general static intersecting brane solutions by directly
solving the relevant equations of motion analytically and in complete
generality. These solutions reduce to the known ones in special cases, and
contain further a class of new static solutions which are horizonless. We
describe their properties and discuss their physical relevance. Along the way,
we also describe the features of the brane energy momentum tensors, the
equations of motion, and their solutions which arise as consequences of the
intersection rules and the U duality symmetries of M theory.
| [
{
"created": "Wed, 24 Apr 2013 10:15:20 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Apr 2013 12:08:22 GMT",
"version": "v2"
}
] | 2014-03-13 | [
[
"Rama",
"S. Kalyana",
""
]
] | We obtain the most general static intersecting brane solutions by directly solving the relevant equations of motion analytically and in complete generality. These solutions reduce to the known ones in special cases, and contain further a class of new static solutions which are horizonless. We describe their properties and discuss their physical relevance. Along the way, we also describe the features of the brane energy momentum tensors, the equations of motion, and their solutions which arise as consequences of the intersection rules and the U duality symmetries of M theory. |
2011.14304 | Mohsen Karkheiran | Wei Cui, Mohsen Karkheiran | Heterotic Complex Structure Moduli Stabilization for Elliptically
Fibered Calabi-Yau Manifolds | 27 pages | null | 10.1007/JHEP03(2021)281 | null | hep-th | http://creativecommons.org/publicdomain/zero/1.0/ | Complex structure moduli of a Calabi-Yau threefold in $N=1$ supersymmetric
heterotic compactifications can be stabilized by holomorphic vector bundles.
The stabilized moduli are determined by a computation of Atiyah class. In this
paper, we study how this mechanism work in the context of elliptically fibered
Calabi-Yau manifolds where complex structure moduli space contains two kinds of
moduli, ones from base and ones from fibration. With spectral cover bundles, we
find three types of situations when holomorphicity of bundles is determined by
algebraic cycles supported on special choice of complex structure, which allows
us to stabilize both of these two moduli. We present concrete examples for each
type and develop practical tools to analyze the stabilized moduli. Finally, by
checking the holomorphicity of the four-flux and/or local Higgs bundle data in
F-theory, we briefly study the dual complex structure moduli stabilization
scenarios.
| [
{
"created": "Sun, 29 Nov 2020 07:32:37 GMT",
"version": "v1"
}
] | 2021-04-14 | [
[
"Cui",
"Wei",
""
],
[
"Karkheiran",
"Mohsen",
""
]
] | Complex structure moduli of a Calabi-Yau threefold in $N=1$ supersymmetric heterotic compactifications can be stabilized by holomorphic vector bundles. The stabilized moduli are determined by a computation of Atiyah class. In this paper, we study how this mechanism work in the context of elliptically fibered Calabi-Yau manifolds where complex structure moduli space contains two kinds of moduli, ones from base and ones from fibration. With spectral cover bundles, we find three types of situations when holomorphicity of bundles is determined by algebraic cycles supported on special choice of complex structure, which allows us to stabilize both of these two moduli. We present concrete examples for each type and develop practical tools to analyze the stabilized moduli. Finally, by checking the holomorphicity of the four-flux and/or local Higgs bundle data in F-theory, we briefly study the dual complex structure moduli stabilization scenarios. |
2004.00861 | Hoang Nam Cao | Cao H. Nam | Effects of massive gravity on $p$-wave holographic superconductor | 15 pages, 12 figures; revised version. Accepted for publication in
Physics Letters B | null | 10.1016/j.physletb.2020.135547 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we have analytically investigated $p$-wave holographic
superconductor in the framework of massive gravity in the probe limit. We
obtained the analytical expressions for the critical temperature, the value of
the condensate operator, and the difference of the free energy between the
superconductor and normal phases. We studied the behavior of these quantities
in the presence of the mass of graviton, which is found to be dependent almost
on the sign of the massive gravity couplings. The critical temperature becomes
(lower)higher and the condensate value gets (larger)smaller with
(decreasing)increasing the massive gravity couplings or increasing the mass of
graviton with the sufficiently (negative)positive massive gravity couplings.
This fact corresponds to that the superconductor phase is (more)less
thermodynamically favored.
| [
{
"created": "Thu, 2 Apr 2020 08:21:30 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Jun 2020 03:46:32 GMT",
"version": "v2"
}
] | 2020-07-15 | [
[
"Nam",
"Cao H.",
""
]
] | In this paper, we have analytically investigated $p$-wave holographic superconductor in the framework of massive gravity in the probe limit. We obtained the analytical expressions for the critical temperature, the value of the condensate operator, and the difference of the free energy between the superconductor and normal phases. We studied the behavior of these quantities in the presence of the mass of graviton, which is found to be dependent almost on the sign of the massive gravity couplings. The critical temperature becomes (lower)higher and the condensate value gets (larger)smaller with (decreasing)increasing the massive gravity couplings or increasing the mass of graviton with the sufficiently (negative)positive massive gravity couplings. This fact corresponds to that the superconductor phase is (more)less thermodynamically favored. |
2308.05666 | Juan Pedraza | Sergio E. Aguilar-Gutierrez, Ayan K. Patra and Juan F. Pedraza | Entangled universes in dS wedge holography | 30 pages + Appendices; 8 figures. Matches JHEP version | null | null | IFT-UAM/CSIC-23-95 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop a new setting in the framework of braneworld holography to
describe a pair of coupled and entangled uniformly accelerated universes. The
model consists of two branes embedded into AdS space capping off the UV and IR
regions, giving rise to a notion of dS wedge holography. Specializing in a
three-dimensional bulk, we show that dS JT gravity can emerge as an effective
braneworld theory, provided that fluctuations transverse to the brane are
included. We study the holographic entanglement entropy between the branes as
well as the holographic complexity within the `complexity=anything' proposal.
We reproduce a Page curve with respect to an observer collecting radiation on
the UV brane, as long as we take the limit where gravity decouples in that
universe, thus acting as a non-gravitating bath. The Page curve emerges due to
momentum-space (UV/IR) entanglement and can be understood as analogous to the
`confinement-deconfinement' transition in theories with a mass gap. Moreover,
the analysis of complexity shows that the hyperfast growth phenomenon is
displayed within a set of proposals, while late-time linear growth can be
recovered for a different set. Our framework thus provides new test grounds for
understanding quantum information concepts in dS space and dS holography.
| [
{
"created": "Thu, 10 Aug 2023 16:07:16 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Sep 2023 16:10:24 GMT",
"version": "v2"
},
{
"created": "Tue, 24 Oct 2023 13:50:45 GMT",
"version": "v3"
},
{
"created": "Sat, 4 Nov 2023 16:05:35 GMT",
"version": "v4"
}
] | 2023-11-07 | [
[
"Aguilar-Gutierrez",
"Sergio E.",
""
],
[
"Patra",
"Ayan K.",
""
],
[
"Pedraza",
"Juan F.",
""
]
] | We develop a new setting in the framework of braneworld holography to describe a pair of coupled and entangled uniformly accelerated universes. The model consists of two branes embedded into AdS space capping off the UV and IR regions, giving rise to a notion of dS wedge holography. Specializing in a three-dimensional bulk, we show that dS JT gravity can emerge as an effective braneworld theory, provided that fluctuations transverse to the brane are included. We study the holographic entanglement entropy between the branes as well as the holographic complexity within the `complexity=anything' proposal. We reproduce a Page curve with respect to an observer collecting radiation on the UV brane, as long as we take the limit where gravity decouples in that universe, thus acting as a non-gravitating bath. The Page curve emerges due to momentum-space (UV/IR) entanglement and can be understood as analogous to the `confinement-deconfinement' transition in theories with a mass gap. Moreover, the analysis of complexity shows that the hyperfast growth phenomenon is displayed within a set of proposals, while late-time linear growth can be recovered for a different set. Our framework thus provides new test grounds for understanding quantum information concepts in dS space and dS holography. |
0901.0303 | Bobby Eka Gunara | Bobby Eka Gunara and Freddy Permana Zen | Flat BPS Domain Walls on 2d K\"ahler-Ricci Soliton | 11 pages, 2 tables. Section 3 slightly modified | J.Math.Phys.50:063514,2009 | 10.1063/1.3155786 | null | hep-th math-ph math.DG math.DS math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we address several aspects of flat Bogomolnyi-Prasad-Sommerfeld
(BPS) domain walls together with their Lorentz invariant vacua of 4d N=1
supergravity coupled to a chiral multiplet. The scalar field spans a
one-parameter family of 2d K\"ahler manifolds satisfying a K\"ahler-Ricci flow
equation. We find that BPS equations and the scalar potential deform with
respect to the real parameter related to the K\"ahler-Ricci soliton. In
addition, the analysis using gradient and renormalization group flows are
carried out to ensure the existence of Lorentz invariant vacua related to Anti
de Sitter/Conformal Field Theory (AdS/CFT) correspondence.
| [
{
"created": "Mon, 5 Jan 2009 14:25:31 GMT",
"version": "v1"
},
{
"created": "Fri, 29 May 2009 02:11:21 GMT",
"version": "v2"
},
{
"created": "Fri, 26 Jun 2009 00:28:08 GMT",
"version": "v3"
}
] | 2009-08-07 | [
[
"Gunara",
"Bobby Eka",
""
],
[
"Zen",
"Freddy Permana",
""
]
] | In this paper we address several aspects of flat Bogomolnyi-Prasad-Sommerfeld (BPS) domain walls together with their Lorentz invariant vacua of 4d N=1 supergravity coupled to a chiral multiplet. The scalar field spans a one-parameter family of 2d K\"ahler manifolds satisfying a K\"ahler-Ricci flow equation. We find that BPS equations and the scalar potential deform with respect to the real parameter related to the K\"ahler-Ricci soliton. In addition, the analysis using gradient and renormalization group flows are carried out to ensure the existence of Lorentz invariant vacua related to Anti de Sitter/Conformal Field Theory (AdS/CFT) correspondence. |
hep-th/9610250 | Akikazu Hashimoto | Akikazu Hashimoto | Perturbative Dynamics of Fractional Strings on Multiply Wound D-strings | 14 pages, LaTeX, 3 figures | Int.J.Mod.Phys. A13 (1998) 903-914 | 10.1142/S0217751X98000408 | PUPT-1657 | hep-th | null | Fractional strings in the spectrum of states of open strings attached to a
multiply wound D-brane is explained. We first describe the fractional string
states in the low-energy effective theory where the topology of multiple
winding is encoded in the gauge holonomy. The holonomy induces twisted boundary
conditions responsible for the fractional moding of these states. We also
describe fractional strings in world sheet formulation and compute simple
scattering amplitudes for Hawking emission/absorption. Generalization to
fractional DN-strings in a 1-brane 5-brane bound state is described. When a
1-brane and a 5-brane wraps $Q_1$ and $Q_5$ times respectively around a circle,
the momentum of DN-strings is quantized in units of $2 \pi/L Q_1 Q_5$. These
fractional states appear naturally in the perturbative spectrum of the theory.
| [
{
"created": "Thu, 31 Oct 1996 21:35:48 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Hashimoto",
"Akikazu",
""
]
] | Fractional strings in the spectrum of states of open strings attached to a multiply wound D-brane is explained. We first describe the fractional string states in the low-energy effective theory where the topology of multiple winding is encoded in the gauge holonomy. The holonomy induces twisted boundary conditions responsible for the fractional moding of these states. We also describe fractional strings in world sheet formulation and compute simple scattering amplitudes for Hawking emission/absorption. Generalization to fractional DN-strings in a 1-brane 5-brane bound state is described. When a 1-brane and a 5-brane wraps $Q_1$ and $Q_5$ times respectively around a circle, the momentum of DN-strings is quantized in units of $2 \pi/L Q_1 Q_5$. These fractional states appear naturally in the perturbative spectrum of the theory. |
2312.16133 | Peter Horvathy | P. A. Horvathy | The non-Abelian Aharonov-Bohm effect | LaTex version of the unpublished preprint BI-TP-82/14, available in
inspire (code {Horvathy:1982fx}). 16 pages, no figures | null | null | null | hep-th math-ph math.MP physics.hist-ph quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The scattering of a nucleon beam around a cylinder containing a non-Abelian
flux is studied. We confirm all the previsions of Wu and Yang. We consider the
generalization to the gauge group $SU(N)$, and derive a classification scheme.
Isospin precession is recovered also at the classical limit.
| [
{
"created": "Tue, 26 Dec 2023 17:44:55 GMT",
"version": "v1"
}
] | 2023-12-27 | [
[
"Horvathy",
"P. A.",
""
]
] | The scattering of a nucleon beam around a cylinder containing a non-Abelian flux is studied. We confirm all the previsions of Wu and Yang. We consider the generalization to the gauge group $SU(N)$, and derive a classification scheme. Isospin precession is recovered also at the classical limit. |
hep-th/0102172 | Christopher Herzog | S. S. Gubser, C. P. Herzog, I. R. Klebanov, A. A. Tseytlin | Restoration of Chiral Symmetry: A Supergravity Perspective | 22 pages | JHEP 0105:028,2001 | 10.1088/1126-6708/2001/05/028 | null | hep-th | null | The supergravity dual of $N$ regular and $M$ fractional D3-branes on the
conifold has a naked singularity in the infrared. Supersymmetric resolution of
this singularity requires deforming the conifold: this is the supergravity dual
of chiral symmetry breaking. Buchel suggested that at sufficiently high
temperature there is no need to deform the conifold: the singularity may be
cloaked by a horizon. This would be the supergravity manifestation of chiral
symmetry restoration. In previous work [hep-th/0102105] the ansatz and the
system of second-order radial differential equations necessary to find such a
solution were written down. In this paper we find smooth solutions to this
system in a perturbation theory that is valid when the Hawking temperature of
the horizon is very high.
| [
{
"created": "Mon, 26 Feb 2001 19:34:49 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Gubser",
"S. S.",
""
],
[
"Herzog",
"C. P.",
""
],
[
"Klebanov",
"I. R.",
""
],
[
"Tseytlin",
"A. A.",
""
]
] | The supergravity dual of $N$ regular and $M$ fractional D3-branes on the conifold has a naked singularity in the infrared. Supersymmetric resolution of this singularity requires deforming the conifold: this is the supergravity dual of chiral symmetry breaking. Buchel suggested that at sufficiently high temperature there is no need to deform the conifold: the singularity may be cloaked by a horizon. This would be the supergravity manifestation of chiral symmetry restoration. In previous work [hep-th/0102105] the ansatz and the system of second-order radial differential equations necessary to find such a solution were written down. In this paper we find smooth solutions to this system in a perturbation theory that is valid when the Hawking temperature of the horizon is very high. |
0911.1990 | Dan Xie | Dimitri Nanopoulos, Dan Xie | Hitchin Equation, Singularity, and N=2 Superconformal Field Theories | 42 pages, 20 figures, Hitchin's equation for N=2 theory is derived by
comparing different order of compactification of six dimensional theory on
T^2\times \Sigma. More discussion about flavor symmetries. Typos are
corrected | JHEP 1003:043,2010 | 10.1007/JHEP03(2010)043 | ACT-11-09, MIFP-09-46 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We argue that Hitchin's equation determines not only the low energy effective
theory but also describes the UV theory of four dimensional N=2 superconformal
field theories when we compactify six dimensional $A_N$ $(0,2)$ theory on a
punctured Riemann surface. We study the singular solution to Hitchin's equation
and the Higgs field of solutions has a simple pole at the punctures; We show
that the massless theory is associated with Higgs field whose residual is a
nilpotent element; We identify the flavor symmetry associated with the puncture
by studying the singularity of closure of the moduli space of solutions with
the appropriate boundary conditions. For the mass-deformed theory the residual
of the Higgs field is a semi-simple element, we identify the semi-simple
element by arguing that the moduli space of solutions of mass-deformed theory
must be a deformation of the closure of the moduli space of the massless
theory. We also study the Seiberg-Witten curve by identifying it as the
spectral curve of the Hitchin's system. The results are all in agreement with
Gaiotto's results derived from studying the Seiberg-Witten curve of four
dimensional quiver gauge theory.
| [
{
"created": "Tue, 10 Nov 2009 20:40:21 GMT",
"version": "v1"
},
{
"created": "Sat, 20 Feb 2010 03:29:16 GMT",
"version": "v2"
}
] | 2010-05-07 | [
[
"Nanopoulos",
"Dimitri",
""
],
[
"Xie",
"Dan",
""
]
] | We argue that Hitchin's equation determines not only the low energy effective theory but also describes the UV theory of four dimensional N=2 superconformal field theories when we compactify six dimensional $A_N$ $(0,2)$ theory on a punctured Riemann surface. We study the singular solution to Hitchin's equation and the Higgs field of solutions has a simple pole at the punctures; We show that the massless theory is associated with Higgs field whose residual is a nilpotent element; We identify the flavor symmetry associated with the puncture by studying the singularity of closure of the moduli space of solutions with the appropriate boundary conditions. For the mass-deformed theory the residual of the Higgs field is a semi-simple element, we identify the semi-simple element by arguing that the moduli space of solutions of mass-deformed theory must be a deformation of the closure of the moduli space of the massless theory. We also study the Seiberg-Witten curve by identifying it as the spectral curve of the Hitchin's system. The results are all in agreement with Gaiotto's results derived from studying the Seiberg-Witten curve of four dimensional quiver gauge theory. |
hep-th/9603181 | null | P.Bin\'etruy, F.Pillon, G.Girardi, R.Grimm | The 3-Form Multiplet in Supergravity | 32 pages,Latex file | Nucl.Phys. B477 (1996) 175-202 | 10.1016/0550-3213(96)00370-7 | LPTHE-Orsay 95/64, ENSLAPP-A-553/95, CPT-95/P.3258 | hep-th | null | We derive the couplings of the 3-form supermultiplet to the general
supergravity-matter-Yang-Mills system. Based on the methods of superspace
geometry, we identify component fields, establish their supergravity
transformations and construct invariant component field actions. Two specific
applications are adressed: the appearance of fundamental 3-forms in the context
of strong-weak duality and the use of the 3-form supermultiplets to describe
effective degrees of freedom relevant to the mechanism of gaugino condensation.
| [
{
"created": "Wed, 27 Mar 1996 14:58:37 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Binétruy",
"P.",
""
],
[
"Pillon",
"F.",
""
],
[
"Girardi",
"G.",
""
],
[
"Grimm",
"R.",
""
]
] | We derive the couplings of the 3-form supermultiplet to the general supergravity-matter-Yang-Mills system. Based on the methods of superspace geometry, we identify component fields, establish their supergravity transformations and construct invariant component field actions. Two specific applications are adressed: the appearance of fundamental 3-forms in the context of strong-weak duality and the use of the 3-form supermultiplets to describe effective degrees of freedom relevant to the mechanism of gaugino condensation. |
hep-th/0408145 | Jose M. Gracia-Bondia | Hector Figueroa and Jose M. Gracia-Bondia | Combinatorial Hopf algebras in quantum field theory I | 94 pages, LaTeX figures, precisions made, typos corrected, more
references added | Rev.Math.Phys. 17 (2005) 881 | 10.1142/S0129055X05002467 | null | hep-th math.CO | null | This manuscript stands at the interface between combinatorial Hopf algebra
theory and renormalization theory. Its plan is as follows: Section 1 is the
introduction, and contains as well an elementary invitation to the subject. The
rest of part I, comprising Sections 2-6, is devoted to the basics of Hopf
algebra theory and examples, in ascending level of complexity. Part II turns
around the all-important Faa di Bruno Hopf algebra. Section 7 contains a first,
direct approach to it. Section 8 gives applications of the Faa di Bruno algebra
to quantum field theory and Lagrange reversion. Section 9 rederives the related
Connes-Moscovici algebras. In Part III we turn to the Connes-Kreimer Hopf
algebras of Feynman graphs and, more generally, to incidence bialgebras. In
Section10 we describe the first. Then in Section11 we give a simple derivation
of (the properly combinatorial part of) Zimmermann's cancellation-free method,
in its original diagrammatic form. In Section 12 general incidence algebras are
introduced, and the Faa di Bruno bialgebras are described as incidence
bialgebras. In Section 13, deeper lore on Rota's incidence algebras allows us
to reinterpret Connes-Kreimer algebras in terms of distributive lattices. Next,
the general algebraic-combinatorial proof of the cancellation-free formula for
antipodes is ascertained; this is the heart of the paper. The structure results
for commutative Hopf algebras are found in Sections 14 and 15. An outlook
section very briefly reviews the coalgebraic aspects of quantization and the
Rota-Baxter map in renormalization.
| [
{
"created": "Thu, 19 Aug 2004 00:22:32 GMT",
"version": "v1"
},
{
"created": "Sat, 19 Mar 2005 14:47:54 GMT",
"version": "v2"
},
{
"created": "Mon, 6 Jun 2005 18:25:23 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Figueroa",
"Hector",
""
],
[
"Gracia-Bondia",
"Jose M.",
""
]
] | This manuscript stands at the interface between combinatorial Hopf algebra theory and renormalization theory. Its plan is as follows: Section 1 is the introduction, and contains as well an elementary invitation to the subject. The rest of part I, comprising Sections 2-6, is devoted to the basics of Hopf algebra theory and examples, in ascending level of complexity. Part II turns around the all-important Faa di Bruno Hopf algebra. Section 7 contains a first, direct approach to it. Section 8 gives applications of the Faa di Bruno algebra to quantum field theory and Lagrange reversion. Section 9 rederives the related Connes-Moscovici algebras. In Part III we turn to the Connes-Kreimer Hopf algebras of Feynman graphs and, more generally, to incidence bialgebras. In Section10 we describe the first. Then in Section11 we give a simple derivation of (the properly combinatorial part of) Zimmermann's cancellation-free method, in its original diagrammatic form. In Section 12 general incidence algebras are introduced, and the Faa di Bruno bialgebras are described as incidence bialgebras. In Section 13, deeper lore on Rota's incidence algebras allows us to reinterpret Connes-Kreimer algebras in terms of distributive lattices. Next, the general algebraic-combinatorial proof of the cancellation-free formula for antipodes is ascertained; this is the heart of the paper. The structure results for commutative Hopf algebras are found in Sections 14 and 15. An outlook section very briefly reviews the coalgebraic aspects of quantization and the Rota-Baxter map in renormalization. |
1107.1724 | Giovanni Amelino-Camelia | Giovanni Amelino-Camelia, Michele Arzano, Jerzy Kowalski-Glikman,
Giacomo Rosati, Gabriele Trevisan | Relative-locality distant observers and the phenomenology of
momentum-space geometry | 45 pages, 10 figures | Class. Quantum Grav. 29 (2012) 075007 | 10.1088/0264-9381/29/7/075007 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the translational invariance of the relative-locality framework
proposed in arXiv:1101.0931, which had been previously established only for the
case of a single interaction. We provide an explicit example of boundary
conditions at endpoints of worldlines, which indeed ensures the desired
translational invariance for processes involving several interactions, even
when some of the interactions are causally connected (particle exchange). We
illustrate the properties of the associated relativistic description of distant
observers within the example of a $\kappa$-Poincar\'e-inspired momentum-space
geometry, with de Sitter metric and parallel transport governed by a non-metric
and torsionful connection. We find that in such a theory simultaneously-emitted
massless particles do not reach simultaneously a distant detector, as expected
in light of the findings of arXiv:1103.5626 on the implications of non-metric
connections. We also show that the theory admits a free-particle limit, where
the relative-locality results of arXiv:1102.4637 are reproduced. We establish
that the torsion of the $\kappa$-Poincar\'e connection introduces a small (but
observably-large) dependence of the time of detection, for
simultaneously-emitted particles, on some properties of the interactions
producing the particles at the source.
| [
{
"created": "Fri, 8 Jul 2011 20:14:48 GMT",
"version": "v1"
}
] | 2015-03-19 | [
[
"Amelino-Camelia",
"Giovanni",
""
],
[
"Arzano",
"Michele",
""
],
[
"Kowalski-Glikman",
"Jerzy",
""
],
[
"Rosati",
"Giacomo",
""
],
[
"Trevisan",
"Gabriele",
""
]
] | We study the translational invariance of the relative-locality framework proposed in arXiv:1101.0931, which had been previously established only for the case of a single interaction. We provide an explicit example of boundary conditions at endpoints of worldlines, which indeed ensures the desired translational invariance for processes involving several interactions, even when some of the interactions are causally connected (particle exchange). We illustrate the properties of the associated relativistic description of distant observers within the example of a $\kappa$-Poincar\'e-inspired momentum-space geometry, with de Sitter metric and parallel transport governed by a non-metric and torsionful connection. We find that in such a theory simultaneously-emitted massless particles do not reach simultaneously a distant detector, as expected in light of the findings of arXiv:1103.5626 on the implications of non-metric connections. We also show that the theory admits a free-particle limit, where the relative-locality results of arXiv:1102.4637 are reproduced. We establish that the torsion of the $\kappa$-Poincar\'e connection introduces a small (but observably-large) dependence of the time of detection, for simultaneously-emitted particles, on some properties of the interactions producing the particles at the source. |
1603.02543 | Constantin Bizdadea | Constantin Bizdadea, Solange-Odile Saliu | A novel mass generation scheme for an Abelian vector field | 33 pages. Main modifications in version v2: slight changes in
introduction and conclusions; former section 6 was split into two sections;
one more reference was added | null | null | null | hep-th hep-ph math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A novel mass generation procedure for an Abelian vector field is proposed.
This procedure is based on the construction of a class of gauge theories whose
free limit describes a free massless vector field and a set of massless real
scalar fields by means of the antifield-BRST deformation technique. The
relationship between our results and those arising from the Higgs mechanism
based on the spontaneous symmetry breaking of an Abelian gauge symmetry is
emphasized. Some examples with one, two, and three scalars are given.
| [
{
"created": "Tue, 8 Mar 2016 15:15:45 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Jun 2016 14:37:42 GMT",
"version": "v2"
}
] | 2016-06-23 | [
[
"Bizdadea",
"Constantin",
""
],
[
"Saliu",
"Solange-Odile",
""
]
] | A novel mass generation procedure for an Abelian vector field is proposed. This procedure is based on the construction of a class of gauge theories whose free limit describes a free massless vector field and a set of massless real scalar fields by means of the antifield-BRST deformation technique. The relationship between our results and those arising from the Higgs mechanism based on the spontaneous symmetry breaking of an Abelian gauge symmetry is emphasized. Some examples with one, two, and three scalars are given. |
1409.2870 | Dani\"el Prins | Dani\"el Prins, Dimitrios Tsimpis | Generalized complex geometry of pure backgrounds in ten and eleven
dimensions | 26 pages. Typos fixed, references added | null | 10.1088/0264-9381/32/7/075004 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Pure backgrounds are a natural generalization of supersymmetric Calabi-Yau
compactifications in the presence of flux. They are described in the language
of generalized SU(d) x SU(d) structures and generalized complex geometry, and
they exhibit some interesting general patterns: the internal manifold is
generalized Calabi-Yau, while the Ramond-Ramond flux is exact in a precise
sense discussed in this paper. We have shown that although these two
characteristics do persist in the case of generic ten-dimensional Euclidean
type II pure backgrounds, they do not capture the full content of
supersymmetry. We also discuss the uplift of real Euclidean type IIA pure
backgrounds to supersymmetric backgrounds of Lorentzian eleven-dimensional
supergravity.
| [
{
"created": "Tue, 9 Sep 2014 20:00:10 GMT",
"version": "v1"
},
{
"created": "Sun, 14 Sep 2014 12:13:03 GMT",
"version": "v2"
}
] | 2015-06-22 | [
[
"Prins",
"Daniël",
""
],
[
"Tsimpis",
"Dimitrios",
""
]
] | Pure backgrounds are a natural generalization of supersymmetric Calabi-Yau compactifications in the presence of flux. They are described in the language of generalized SU(d) x SU(d) structures and generalized complex geometry, and they exhibit some interesting general patterns: the internal manifold is generalized Calabi-Yau, while the Ramond-Ramond flux is exact in a precise sense discussed in this paper. We have shown that although these two characteristics do persist in the case of generic ten-dimensional Euclidean type II pure backgrounds, they do not capture the full content of supersymmetry. We also discuss the uplift of real Euclidean type IIA pure backgrounds to supersymmetric backgrounds of Lorentzian eleven-dimensional supergravity. |
2310.06438 | Suman Das | Suman Das, Arnab Kundu | Brickwall in Rotating BTZ: A Dip-Ramp-Plateau Story | null | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this article, building on our recent investigations and motivated by the
fuzzball-paradigm, we explore normal modes of a probe massless scalar field in
the rotating BTZ-geometry in an asymptotically AdS spacetime and
correspondingly obtain the Spectral Form Factor (SFF) of the scalar field. In
particular, we analyze the SFF obtained from the single-particle partition
function. We observe that, a non-trivial Dip-Ramp-Plateau structure, with a
Ramp of slope one (within numerical precision) exists in the SFF which is
obtained from the grand-canonical partition function. This behaviour is
observed to remain stable close to extremality as well. However, at exact
extremality, we observe a loss of the DRP-structure in the corresponding SFF.
Technically, we have used two methods to obtain our results: (i) An explicit
and direct numerical solution of the boundary conditions to obtain the normal
modes, (ii) A WKB-approximation, which yields analytic, semi-analytic and
efficient numerical solutions for the modes in various regimes. We further
re-visit the non-rotating case and elucidate the effectiveness of the
WKB-approximation in this case, which allows for an analytic expression of the
normal modes in the regime where a level-repulsion exists. This regime
corresponds to the lower end of the spectrum as a function of the scalar
angular momentum. By analyzing the classical stress-tensor of the probe sector,
we further demonstrate that the back-reaction of the scalar field grows fast as
the angular momenta of the scalar modes increase in the large angular momenta
regime, while the back-reaction remains controllably small in the regime where
the spectrum has non-trivial level correlations. This further justifies cutting
the spectrum off at a suitable value of the scalar angular momenta, beyond
which the scalar back-reaction significantly modifies the background geometry.
| [
{
"created": "Tue, 10 Oct 2023 09:06:51 GMT",
"version": "v1"
}
] | 2023-10-11 | [
[
"Das",
"Suman",
""
],
[
"Kundu",
"Arnab",
""
]
] | In this article, building on our recent investigations and motivated by the fuzzball-paradigm, we explore normal modes of a probe massless scalar field in the rotating BTZ-geometry in an asymptotically AdS spacetime and correspondingly obtain the Spectral Form Factor (SFF) of the scalar field. In particular, we analyze the SFF obtained from the single-particle partition function. We observe that, a non-trivial Dip-Ramp-Plateau structure, with a Ramp of slope one (within numerical precision) exists in the SFF which is obtained from the grand-canonical partition function. This behaviour is observed to remain stable close to extremality as well. However, at exact extremality, we observe a loss of the DRP-structure in the corresponding SFF. Technically, we have used two methods to obtain our results: (i) An explicit and direct numerical solution of the boundary conditions to obtain the normal modes, (ii) A WKB-approximation, which yields analytic, semi-analytic and efficient numerical solutions for the modes in various regimes. We further re-visit the non-rotating case and elucidate the effectiveness of the WKB-approximation in this case, which allows for an analytic expression of the normal modes in the regime where a level-repulsion exists. This regime corresponds to the lower end of the spectrum as a function of the scalar angular momentum. By analyzing the classical stress-tensor of the probe sector, we further demonstrate that the back-reaction of the scalar field grows fast as the angular momenta of the scalar modes increase in the large angular momenta regime, while the back-reaction remains controllably small in the regime where the spectrum has non-trivial level correlations. This further justifies cutting the spectrum off at a suitable value of the scalar angular momenta, beyond which the scalar back-reaction significantly modifies the background geometry. |
hep-th/9911189 | John F. Wheater | Martin G. Harris and John F. Wheater | Peeling and Multi-critical Matter Coupled to Quantum Gravity | 30 pages, 8 eps figures. Typos corrected; extended discussion at end,
and at the beginning | Nucl.Phys. B586 (2000) 518-546 | 10.1016/S0550-3213(00)00432-6 | OUTP-99-44P | hep-th | null | We show how to determine the unknown functions arising when the peeling
decomposition is applied to multi-critical matter coupled to two-dimensional
quantum gravity and compute the loop-loop correlation functions. The results
that $\eta=2+2/(2K-3)$ and $\nu=1-3/2K$ agree with the slicing decomposition,
and satisfy Fisher scaling.
| [
{
"created": "Wed, 24 Nov 1999 10:43:22 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Feb 2000 09:36:01 GMT",
"version": "v2"
},
{
"created": "Thu, 6 Jul 2000 09:57:32 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Harris",
"Martin G.",
""
],
[
"Wheater",
"John F.",
""
]
] | We show how to determine the unknown functions arising when the peeling decomposition is applied to multi-critical matter coupled to two-dimensional quantum gravity and compute the loop-loop correlation functions. The results that $\eta=2+2/(2K-3)$ and $\nu=1-3/2K$ agree with the slicing decomposition, and satisfy Fisher scaling. |
1203.0674 | Wu JianPin | Wei-Jia Li, Jian-Pin Wu | Holographic fermions in charged dilaton black branes | 22 pages, 11 figures, added refs, typos corrected; version published
in Nuclear Physics B | Nuclear Physics B, 867 (2013), 810-826 | 10.1016/j.nuclphysb.2012.10.023 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | By imposing the relativistic boundary term and Lorentz violating that in the
dilatonic black brane with a Lifshitz like IR geometry and $AdS_4$ boundary, we
study the properties of the spectral functions of the fermions. We find that in
the two fixed points, there are emergent Fermi-surface structures and many
properties seem to be in agreement with that of Fermi liquid. Especially, the
low energy behavior exhibits a linear dispersion relation. In addition, we also
find that a holographic flat band also emerges in this background of the
dilatonic black brane.
| [
{
"created": "Sat, 3 Mar 2012 17:57:46 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Mar 2012 17:03:14 GMT",
"version": "v2"
},
{
"created": "Thu, 15 Mar 2012 12:04:12 GMT",
"version": "v3"
},
{
"created": "Tue, 1 May 2012 13:58:39 GMT",
"version": "v4"
},
{
"cre... | 2015-06-04 | [
[
"Li",
"Wei-Jia",
""
],
[
"Wu",
"Jian-Pin",
""
]
] | By imposing the relativistic boundary term and Lorentz violating that in the dilatonic black brane with a Lifshitz like IR geometry and $AdS_4$ boundary, we study the properties of the spectral functions of the fermions. We find that in the two fixed points, there are emergent Fermi-surface structures and many properties seem to be in agreement with that of Fermi liquid. Especially, the low energy behavior exhibits a linear dispersion relation. In addition, we also find that a holographic flat band also emerges in this background of the dilatonic black brane. |
2407.20324 | Elliott Gesteau | Elliott Gesteau, Matilde Marcolli and Jacob McNamara | Wormhole Renormalization: The gravitational path integral, holography,
and a gauge group for topology change | 35 pages + appendix, 11 figures, 1 table | null | null | null | hep-th math-ph math.CO math.MP math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the Factorization Paradox from the bottom up by adapting methods
from perturbative renormalization. Just as quantum field theories are plagued
with loop divergences that need to be cancelled systematically by introducing
counterterms, gravitational path integrals are plagued by wormhole
contributions that spoil the factorization of the holographic dual. These
wormholes must be cancelled by some stringy effects in a UV complete,
holographic theory of quantum gravity. In a simple model of two-dimensional
topological gravity, we outline a gravitational analog of the recursive BPHZ
procedure in order to systematically introduce ``counter-wormholes" which
parametrize the unknown stringy effects that lead to factorization. Underlying
this procedure is a Hopf algebra of symmetries which is analogous to the
Connes--Kreimer Hopf algebra underlying perturbative renormalization. The group
dual to this Hopf algebra acts to reorganize contributions from spacetimes with
distinct topology, and can be seen as a gauge group relating various equivalent
ways of constructing a factorizing gravitational path integral.
| [
{
"created": "Mon, 29 Jul 2024 18:00:01 GMT",
"version": "v1"
}
] | 2024-07-31 | [
[
"Gesteau",
"Elliott",
""
],
[
"Marcolli",
"Matilde",
""
],
[
"McNamara",
"Jacob",
""
]
] | We study the Factorization Paradox from the bottom up by adapting methods from perturbative renormalization. Just as quantum field theories are plagued with loop divergences that need to be cancelled systematically by introducing counterterms, gravitational path integrals are plagued by wormhole contributions that spoil the factorization of the holographic dual. These wormholes must be cancelled by some stringy effects in a UV complete, holographic theory of quantum gravity. In a simple model of two-dimensional topological gravity, we outline a gravitational analog of the recursive BPHZ procedure in order to systematically introduce ``counter-wormholes" which parametrize the unknown stringy effects that lead to factorization. Underlying this procedure is a Hopf algebra of symmetries which is analogous to the Connes--Kreimer Hopf algebra underlying perturbative renormalization. The group dual to this Hopf algebra acts to reorganize contributions from spacetimes with distinct topology, and can be seen as a gauge group relating various equivalent ways of constructing a factorizing gravitational path integral. |
1812.08132 | Alexander Krikun | Tomas Andrade and Alexander Krikun | Coherent vs incoherent transport in holographic strange insulators | 21 pages + appendices, 15 figures; v2: revised version | null | 10.1007/JHEP05(2019)119 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Holographic strange metals are known to have a power law resistivity rising
with temperature, which is reminiscent of the strange metal phases in condensed
matter systems. In some holographic models, however, the exponent of the power
law in the resistivity can be negative. In this case one encounters phases with
diverging resistivity at zero temperature: holographic strange insulators.
These states arise as a result of translational symmetry breaking in the
system, which can either be strong explicit and relevant in the IR, or
spontaneous, but pinned by a small explicit source. In some regards, one can
associate these two classes to the normal band insulators due to the strong
ionic potential, and Mott insulator due to the commensurate lock in of the
charge density wave.
We study different features of these classes on the explicit example of a
holographic helical model with homogeneous Bianchy VII type translational
symmetry breaking, and uncover the main mechanisms underlying transport in
these two cases. We find that while transport in the explicit relevant case is
governed by the incoherent conductivity, in the pinned spontaneous case the
leading contribution comes from the coherent part.
| [
{
"created": "Wed, 19 Dec 2018 18:19:27 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Mar 2019 16:25:25 GMT",
"version": "v2"
}
] | 2019-06-26 | [
[
"Andrade",
"Tomas",
""
],
[
"Krikun",
"Alexander",
""
]
] | Holographic strange metals are known to have a power law resistivity rising with temperature, which is reminiscent of the strange metal phases in condensed matter systems. In some holographic models, however, the exponent of the power law in the resistivity can be negative. In this case one encounters phases with diverging resistivity at zero temperature: holographic strange insulators. These states arise as a result of translational symmetry breaking in the system, which can either be strong explicit and relevant in the IR, or spontaneous, but pinned by a small explicit source. In some regards, one can associate these two classes to the normal band insulators due to the strong ionic potential, and Mott insulator due to the commensurate lock in of the charge density wave. We study different features of these classes on the explicit example of a holographic helical model with homogeneous Bianchy VII type translational symmetry breaking, and uncover the main mechanisms underlying transport in these two cases. We find that while transport in the explicit relevant case is governed by the incoherent conductivity, in the pinned spontaneous case the leading contribution comes from the coherent part. |
2202.04536 | Enrique Alvarez | Enrique \'Alvarez and Jes\'us Anero | Divergences of the scalar sector of quadratic gravity | 23 pages. No figures. References and comments added | null | 10.1088/1361-6382/ac7cb6 | IFT-UAM/CSIC-22-8;FTUAM-22-X | hep-th | http://creativecommons.org/licenses/by/4.0/ | The divergences coming from a particular sector of gravitational fluctuations
around a generic background in general theories of quadratic gravity are
analyzed. They can be summarized in a particular type of scalar model, whose
properties are analyzed.
| [
{
"created": "Wed, 9 Feb 2022 16:00:58 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Mar 2022 09:31:13 GMT",
"version": "v2"
}
] | 2022-08-10 | [
[
"Álvarez",
"Enrique",
""
],
[
"Anero",
"Jesús",
""
]
] | The divergences coming from a particular sector of gravitational fluctuations around a generic background in general theories of quadratic gravity are analyzed. They can be summarized in a particular type of scalar model, whose properties are analyzed. |
hep-th/0608086 | Jihn E. Kim | Jihn E. Kim and Bumseok Kyae | Flipped SU(5) from Z_{12-I} orbifold with Wilson line | 35 pages with 2 figures | Nucl.Phys.B770:47-82,2007 | 10.1016/j.nuclphysb.2007.02.008 | SNUTP 06-010, KIAS-P06038, NSF-KITP-06-65 | hep-th hep-ph | null | We construct a three family flipped SU(5) model from the heterotic string
theory compactified on the $\Z_{12-I}$ orbifold with one Wilson line. The gauge
group is $\rm SU(5)\times U(1)_X\times U(1)^2\times[SU(2)\times SO(10)\times
U(1)^2]^\prime$. This model does not derive any nonabelian group except SU(5)
from $E_8$, which is possible only for two cases in case of one shift $V$, one
in ${\bf Z}_{12-I}$ and the other in ${\bf Z}_{12-II}$. We present all possible
Yukawa couplings. We place the third quark family in the twisted sectors and
two light quark families in the untwisted sector. From the Yukawa couplings,
the model provides the R-parity, the doublet-triplet splitting, and one pair of
Higgs doublets. It is also shown that quark and lepton mixings are possible. So
far we have not encountered a serious phenomenological problem. There exist
vectorlike flavor SU(5) exotics (including \Qem=$\pm\frac16$ color exotics and
\Qem=$\pm\frac12$ electromagnetic exotics) and SU(5) vectorlike singlet exotics
with \Qem=$\pm\frac12$ which can be removed near the GUT scale. In this model,
${\rm sin}^2\theta_W^0={3/8}$ at the full unification scale.
| [
{
"created": "Mon, 14 Aug 2006 18:10:56 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Aug 2006 00:55:28 GMT",
"version": "v2"
},
{
"created": "Fri, 8 Sep 2006 05:41:30 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Kim",
"Jihn E.",
""
],
[
"Kyae",
"Bumseok",
""
]
] | We construct a three family flipped SU(5) model from the heterotic string theory compactified on the $\Z_{12-I}$ orbifold with one Wilson line. The gauge group is $\rm SU(5)\times U(1)_X\times U(1)^2\times[SU(2)\times SO(10)\times U(1)^2]^\prime$. This model does not derive any nonabelian group except SU(5) from $E_8$, which is possible only for two cases in case of one shift $V$, one in ${\bf Z}_{12-I}$ and the other in ${\bf Z}_{12-II}$. We present all possible Yukawa couplings. We place the third quark family in the twisted sectors and two light quark families in the untwisted sector. From the Yukawa couplings, the model provides the R-parity, the doublet-triplet splitting, and one pair of Higgs doublets. It is also shown that quark and lepton mixings are possible. So far we have not encountered a serious phenomenological problem. There exist vectorlike flavor SU(5) exotics (including \Qem=$\pm\frac16$ color exotics and \Qem=$\pm\frac12$ electromagnetic exotics) and SU(5) vectorlike singlet exotics with \Qem=$\pm\frac12$ which can be removed near the GUT scale. In this model, ${\rm sin}^2\theta_W^0={3/8}$ at the full unification scale. |
hep-th/0607139 | George Siopsis | James Alsup, Chad Middleton, George Siopsis | AdS/CFT Correspondence with Heat Conduction | 13 pages, v2: expanded discussion incl. R-charge | Phys.Lett.B654:35-40,2007 | 10.1016/j.physletb.2007.08.021 | UTHET-06-0601 | hep-th | null | We study an extension of the gravity dual to a perfect fluid model found by
Janik and Peschanski. By relaxing one of the constraints, namely invariance
under reflection in the longitudinal direction, we introduce a metric ansatz
which includes off-diagonal terms. We also include an $R$-charge following Bak
and Janik. We solve the Maxwell-Einstein equations and through holographic
renormalization, we show that the off-diagonal components of the bulk metric
give rise to heat conduction in the corresponding CFT on the boundary.
| [
{
"created": "Thu, 20 Jul 2006 06:02:02 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Jun 2007 09:05:14 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Alsup",
"James",
""
],
[
"Middleton",
"Chad",
""
],
[
"Siopsis",
"George",
""
]
] | We study an extension of the gravity dual to a perfect fluid model found by Janik and Peschanski. By relaxing one of the constraints, namely invariance under reflection in the longitudinal direction, we introduce a metric ansatz which includes off-diagonal terms. We also include an $R$-charge following Bak and Janik. We solve the Maxwell-Einstein equations and through holographic renormalization, we show that the off-diagonal components of the bulk metric give rise to heat conduction in the corresponding CFT on the boundary. |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.