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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1906.05088 | Shlomo S. Razamat | Shlomo S. Razamat and Gabi Zafrir | N=1 conformal dualities | 14 pages, 13 figures, revtex; v2: footnote 1 added | null | 10.1007/JHEP09(2019)046 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider on one hand the possibility that a supersymmetric ${\cal N}=1$
conformal gauge theory has a strongly coupled locus on the conformal manifold
at which a different, dual, conformal gauge theory becomes a good weakly
coupled description. On the other hand we discuss the possibility that strongly
coupled theories, e.g. SCFTs in class ${\cal S}$, having exactly marginal
${\cal N}=1$ deformations admit a weakly coupled gauge theory description on
some locus of the conformal manifold. We present a simple algorithm to search
for such dualities and discuss several concrete examples. In particular we find
conformal duals for ${\cal N}=1$ SQCD models with $G_2$ gauge group and a model
with $SU(4)$ gauge group in terms of simple quiver gauge theories. We also find
conformal weakly coupled quiver theory duals for a variety of class ${\cal S}$
theories: $T_4$, $R_{0,4}$, $R_{2,5}$, and rank $2n$ Minahan-Nemeschansky $E_6$
theories. Finally we derive conformal Lagrangians for four dimensional theories
obtained by compactifying the E-string on genus $g>1$ surface with zero flux.
The pairs of dual Lagrangians at the weakly coupled loci have different
symmetries which are broken on a general point of the conformal manifold. We
match the dimensions of the conformal manifolds, symmetries on the generic
locus of the conformal manifold, anomalies, and supersymmetric indices. The
simplicity of the procedure suggests that such dualities are ubiquitous.
| [
{
"created": "Wed, 12 Jun 2019 12:38:33 GMT",
"version": "v1"
},
{
"created": "Sun, 30 Jan 2022 11:27:17 GMT",
"version": "v2"
}
] | 2022-02-01 | [
[
"Razamat",
"Shlomo S.",
""
],
[
"Zafrir",
"Gabi",
""
]
] | We consider on one hand the possibility that a supersymmetric ${\cal N}=1$ conformal gauge theory has a strongly coupled locus on the conformal manifold at which a different, dual, conformal gauge theory becomes a good weakly coupled description. On the other hand we discuss the possibility that strongly coupled theories, e.g. SCFTs in class ${\cal S}$, having exactly marginal ${\cal N}=1$ deformations admit a weakly coupled gauge theory description on some locus of the conformal manifold. We present a simple algorithm to search for such dualities and discuss several concrete examples. In particular we find conformal duals for ${\cal N}=1$ SQCD models with $G_2$ gauge group and a model with $SU(4)$ gauge group in terms of simple quiver gauge theories. We also find conformal weakly coupled quiver theory duals for a variety of class ${\cal S}$ theories: $T_4$, $R_{0,4}$, $R_{2,5}$, and rank $2n$ Minahan-Nemeschansky $E_6$ theories. Finally we derive conformal Lagrangians for four dimensional theories obtained by compactifying the E-string on genus $g>1$ surface with zero flux. The pairs of dual Lagrangians at the weakly coupled loci have different symmetries which are broken on a general point of the conformal manifold. We match the dimensions of the conformal manifolds, symmetries on the generic locus of the conformal manifold, anomalies, and supersymmetric indices. The simplicity of the procedure suggests that such dualities are ubiquitous. |
hep-th/9302134 | null | S. Penati, M. Pernici and D. Zanon | Solitons in Two--Dimensional Topological Field Theories | 14 pages, IFUM 441/FT | Phys.Lett. B309 (1993) 304-311 | 10.1016/0370-2693(93)90938-E | null | hep-th | null | We consider a class of $N=2$ supersymmetric non--unitary theories in
two--dimensional Minkowski spacetime which admit classical solitonic solutions.
We show how these models can be twisted into a topological sector whose
energy--momentum tensor is a BRST commutator. There is an infinite number of
degrees of freedom associated to the zero modes of the solitons. As explicit
realizations of such models we discuss the BRST quantization of a system of
free fields, while in the interacting case we study $N=2$ complexified twisted
Toda theories.
| [
{
"created": "Fri, 26 Feb 1993 10:01:07 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Penati",
"S.",
""
],
[
"Pernici",
"M.",
""
],
[
"Zanon",
"D.",
""
]
] | We consider a class of $N=2$ supersymmetric non--unitary theories in two--dimensional Minkowski spacetime which admit classical solitonic solutions. We show how these models can be twisted into a topological sector whose energy--momentum tensor is a BRST commutator. There is an infinite number of degrees of freedom associated to the zero modes of the solitons. As explicit realizations of such models we discuss the BRST quantization of a system of free fields, while in the interacting case we study $N=2$ complexified twisted Toda theories. |
2403.10224 | Marcos A Anacleto | M. A. Anacleto, F. A. Brito, E. Passos | The self-dual Lorentz violating model: quantization, scattering and dual
equivalence | 10 pages | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | In this paper, we analysis the dynamics, at the quantum level, of the
self-dual field minimally coupled to bosons with Lorentz symmetry breaking. We
quantize the model by applying the Dirac bracket canonical quantization
procedure. In addition, we test the relativistic invariance of the model by
computing the boson-boson elastic scattering amplitude. Therefore, we show that
the Lorentz symmetry breaking has been restored at the quantum level. We
finalize our analysis by computing the dual equivalence between the self-dual
model with Lorentz symmetry breaking coupled with bosonic matter and the
Maxwell-Chern-Simons with Lorentz invariance violation coupled with bosonic
field.
| [
{
"created": "Fri, 15 Mar 2024 11:48:36 GMT",
"version": "v1"
}
] | 2024-03-18 | [
[
"Anacleto",
"M. A.",
""
],
[
"Brito",
"F. A.",
""
],
[
"Passos",
"E.",
""
]
] | In this paper, we analysis the dynamics, at the quantum level, of the self-dual field minimally coupled to bosons with Lorentz symmetry breaking. We quantize the model by applying the Dirac bracket canonical quantization procedure. In addition, we test the relativistic invariance of the model by computing the boson-boson elastic scattering amplitude. Therefore, we show that the Lorentz symmetry breaking has been restored at the quantum level. We finalize our analysis by computing the dual equivalence between the self-dual model with Lorentz symmetry breaking coupled with bosonic matter and the Maxwell-Chern-Simons with Lorentz invariance violation coupled with bosonic field. |
hep-th/0606113 | Don Marolf | Donald Marolf and Simon Ross | Boundary Conditions and Dualities: Vector Fields in AdS/CFT | 26 pages, significant references added | JHEP0611:085,2006 | 10.1088/1126-6708/2006/11/085 | null | hep-th gr-qc | null | In AdS, scalar fields with masses slightly above the Breitenlohner-Freedman
bound admit a variety of possible boundary conditions which are reflected in
the Lagrangian of the dual field theory. Generic small changes in the AdS
boundary conditions correspond to deformations of the dual field theory by
multi-trace operators. Here we extend this discussion to the case of vector
gauge fields in the bulk spacetime using the results of Ishibashi and Wald
[hep-th/0402184]. As in the context of scalar fields, general boundary
conditions for vector fields involve multi-trace deformations which lead to
renormalization-group flows. Such flows originate in ultra-violet CFTs which
give new gauge/gravity dualities. At least for AdS4/CFT3, the dual of the bulk
photon appears to be a propagating gauge field instead of the usual R-charge
current. Applying similar reasoning to tensor fields suggests the existence of
a duality between string theory on AdS4 and a quantum gravity theory in three
dimensions.
| [
{
"created": "Tue, 13 Jun 2006 18:03:52 GMT",
"version": "v1"
},
{
"created": "Sat, 24 Jun 2006 01:25:49 GMT",
"version": "v2"
},
{
"created": "Fri, 30 Jun 2006 15:08:40 GMT",
"version": "v3"
}
] | 2009-11-11 | [
[
"Marolf",
"Donald",
""
],
[
"Ross",
"Simon",
""
]
] | In AdS, scalar fields with masses slightly above the Breitenlohner-Freedman bound admit a variety of possible boundary conditions which are reflected in the Lagrangian of the dual field theory. Generic small changes in the AdS boundary conditions correspond to deformations of the dual field theory by multi-trace operators. Here we extend this discussion to the case of vector gauge fields in the bulk spacetime using the results of Ishibashi and Wald [hep-th/0402184]. As in the context of scalar fields, general boundary conditions for vector fields involve multi-trace deformations which lead to renormalization-group flows. Such flows originate in ultra-violet CFTs which give new gauge/gravity dualities. At least for AdS4/CFT3, the dual of the bulk photon appears to be a propagating gauge field instead of the usual R-charge current. Applying similar reasoning to tensor fields suggests the existence of a duality between string theory on AdS4 and a quantum gravity theory in three dimensions. |
2402.17658 | Vahid Taghiloo | H. Adami, A. Parvizi, M.M. Sheikh-Jabbari, V. Taghiloo | Heisenberg Soft Hair on Robinson-Trautman Spacetimes | v2: references added, minor corrections in section 6.1 | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study 4 dimensional $(4d$) gravitational waves (GWs) with compact
wavefronts, generalizing Robinson-Trautman (RT) solutions in Einstein gravity
with an arbitrary cosmological constant. We construct the most general solution
of the GWs in the presence of a causal, timelike, or null boundary when the
usual tensor modes are turned off. Our solution space besides the shape and
topology of the wavefront which is a generic compact, smooth, and orientable
$2d$ surface $\Sigma$, is specified by a vector over $\Sigma$ satisfying the
conformal Killing equation and two scalars that are arbitrary functions over
the causal boundary, the boundary modes (soft hair). We work out the symplectic
form over the solution space using covariant phase space formalism and analyze
the boundary symmetries and charges. The algebra of surface charges is a
Heisenberg algebra. Only the overall size of the compact wavefront and not the
details of its shape appears in the boundary symplectic form and is canonical
conjugate to the overall mass of the GW. Hence, the information about the shape
of the wavefront can't be probed by the boundary observer. We construct a
boundary energy-momentum tensor and a boundary current, whose conservation
yields the RT equation for both asymptotically AdS and flat spacetimes. The
latter provides a hydrodynamic description for our RT solutions.
| [
{
"created": "Tue, 27 Feb 2024 16:25:46 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Mar 2024 09:14:24 GMT",
"version": "v2"
}
] | 2024-03-15 | [
[
"Adami",
"H.",
""
],
[
"Parvizi",
"A.",
""
],
[
"Sheikh-Jabbari",
"M. M.",
""
],
[
"Taghiloo",
"V.",
""
]
] | We study 4 dimensional $(4d$) gravitational waves (GWs) with compact wavefronts, generalizing Robinson-Trautman (RT) solutions in Einstein gravity with an arbitrary cosmological constant. We construct the most general solution of the GWs in the presence of a causal, timelike, or null boundary when the usual tensor modes are turned off. Our solution space besides the shape and topology of the wavefront which is a generic compact, smooth, and orientable $2d$ surface $\Sigma$, is specified by a vector over $\Sigma$ satisfying the conformal Killing equation and two scalars that are arbitrary functions over the causal boundary, the boundary modes (soft hair). We work out the symplectic form over the solution space using covariant phase space formalism and analyze the boundary symmetries and charges. The algebra of surface charges is a Heisenberg algebra. Only the overall size of the compact wavefront and not the details of its shape appears in the boundary symplectic form and is canonical conjugate to the overall mass of the GW. Hence, the information about the shape of the wavefront can't be probed by the boundary observer. We construct a boundary energy-momentum tensor and a boundary current, whose conservation yields the RT equation for both asymptotically AdS and flat spacetimes. The latter provides a hydrodynamic description for our RT solutions. |
1005.5343 | Massimo Giovannini | Massimo Giovannini | Multiplicity distributions in gravitational and strong interactions | 11 pages, 2 included figures; to appear in Physics Letters B | Phys.Lett.B691:274-278,2010 | 10.1016/j.physletb.2010.07.004 | CERN-PH-TH/2010-120 | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The multiplicity distributions produced by the variation of time-dependent
gravitational fields in a conformally flat background geometry belong to the
same class of infinitely divisible distributions found, for fixed centre of
mass energies and symmetric (pseudo)rapidity intervals, in charged
multiplicities produced in $pp$, $p\overline{p}$ and in heavy ion collisions.
Apparently unrelated multiplicity distributions are classified in terms of the
(positive) discrete representations of the $SU(1,1)$ group. The gravitational
analogy suggest a global high-energy asymptote for the distributions measured
in $pp$ and $p\overline{p}$ collisions. Second-order cross correlations between
positively and negatively charged distributions represent a relevant diagnostic
for a closer scrutiny of the multiparticle final state.
| [
{
"created": "Fri, 28 May 2010 17:42:30 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Jul 2010 11:56:32 GMT",
"version": "v2"
}
] | 2014-11-21 | [
[
"Giovannini",
"Massimo",
""
]
] | The multiplicity distributions produced by the variation of time-dependent gravitational fields in a conformally flat background geometry belong to the same class of infinitely divisible distributions found, for fixed centre of mass energies and symmetric (pseudo)rapidity intervals, in charged multiplicities produced in $pp$, $p\overline{p}$ and in heavy ion collisions. Apparently unrelated multiplicity distributions are classified in terms of the (positive) discrete representations of the $SU(1,1)$ group. The gravitational analogy suggest a global high-energy asymptote for the distributions measured in $pp$ and $p\overline{p}$ collisions. Second-order cross correlations between positively and negatively charged distributions represent a relevant diagnostic for a closer scrutiny of the multiparticle final state. |
1606.04187 | Simon Wood | Olivier Blondeau-Fournier, Pierre Mathieu, David Ridout, Simon Wood | Superconformal minimal models and admissible Jack polynomials | 32 pages, minor tweak to the explanation of notation on p15, updated
references, version to appear in Adv. Math | null | null | null | hep-th math-ph math.MP math.QA math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give new proofs of the rationality of the N=1 superconformal minimal model
vertex operator superalgebras and of the classification of their modules in
both the Neveu-Schwarz and Ramond sectors. For this, we combine the standard
free field realisation with the theory of Jack symmetric functions. A key role
is played by Jack symmetric polynomials with a certain negative parameter that
are labelled by admissible partitions. These polynomials are shown to describe
free fermion correlators, suitably dressed by a symmetrising factor. The
classification proofs concentrate on explicitly identifying Zhu's algebra and
its twisted analogue. Interestingly, these identifications do not use an
explicit expression for the non-trivial vacuum singular vector. While the
latter is known to be expressible in terms of an Uglov symmetric polynomial or
a linear combination of Jack superpolynomials, it turns out that standard Jack
polynomials (and functions) suffice to prove the classification.
| [
{
"created": "Tue, 14 Jun 2016 01:19:19 GMT",
"version": "v1"
},
{
"created": "Tue, 9 May 2017 07:11:00 GMT",
"version": "v2"
}
] | 2017-05-10 | [
[
"Blondeau-Fournier",
"Olivier",
""
],
[
"Mathieu",
"Pierre",
""
],
[
"Ridout",
"David",
""
],
[
"Wood",
"Simon",
""
]
] | We give new proofs of the rationality of the N=1 superconformal minimal model vertex operator superalgebras and of the classification of their modules in both the Neveu-Schwarz and Ramond sectors. For this, we combine the standard free field realisation with the theory of Jack symmetric functions. A key role is played by Jack symmetric polynomials with a certain negative parameter that are labelled by admissible partitions. These polynomials are shown to describe free fermion correlators, suitably dressed by a symmetrising factor. The classification proofs concentrate on explicitly identifying Zhu's algebra and its twisted analogue. Interestingly, these identifications do not use an explicit expression for the non-trivial vacuum singular vector. While the latter is known to be expressible in terms of an Uglov symmetric polynomial or a linear combination of Jack superpolynomials, it turns out that standard Jack polynomials (and functions) suffice to prove the classification. |
1104.4857 | Alejandra Melfo | Alejandra Melfo, Roger Naranjo, Nelson Pantoja, Aureliano Skirzewski
and Juan Carlos Vasquez | Self-gravitating non-abelian kinks as brane worlds | 6 pages | Phys.Rev.D84:025015,2011 | 10.1103/PhysRevD.84.025015 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We address the properties of self-gravitating domain walls arising from the
breaking of an SU(N) x Z_2- symmetric theory. In the particular case of N=5, we
find that the two classes of stable non-abelian kinks possible in flat space
have an analogue in the gravitational case, and construct the analytical
solutions. Localization of fermion fields in different representations of the
gauge group in these branes is investigated. It is also shown that non-abelian
gauge fields localization cannot be achieved through interactions with the
brane, but that in one of the two classes of kinks this localization can be
implemented via the Dvali-Shifman mechanism.
| [
{
"created": "Tue, 26 Apr 2011 07:58:34 GMT",
"version": "v1"
}
] | 2011-08-09 | [
[
"Melfo",
"Alejandra",
""
],
[
"Naranjo",
"Roger",
""
],
[
"Pantoja",
"Nelson",
""
],
[
"Skirzewski",
"Aureliano",
""
],
[
"Vasquez",
"Juan Carlos",
""
]
] | We address the properties of self-gravitating domain walls arising from the breaking of an SU(N) x Z_2- symmetric theory. In the particular case of N=5, we find that the two classes of stable non-abelian kinks possible in flat space have an analogue in the gravitational case, and construct the analytical solutions. Localization of fermion fields in different representations of the gauge group in these branes is investigated. It is also shown that non-abelian gauge fields localization cannot be achieved through interactions with the brane, but that in one of the two classes of kinks this localization can be implemented via the Dvali-Shifman mechanism. |
hep-th/0610309 | B. L. G. Bakker | Bernard L. G. Bakker and Jorn K. Boomsma (Department of Physics and
Astrophysics, Vrije Universiteit) and Chueng-Ryong Ji (Department of Physics,
North Carolina State University) | The box diagram in Yukawa theory | 21 pages, 17 figures. submittes to Phys. Rev. D | Phys.Rev.D75:065010,2007 | 10.1103/PhysRevD.75.065010 | null | hep-th nucl-th | null | We present a light-front calculation of the box diagram in Yukawa theory. The
covariant box diagram is finite for the case of spin-1/2 constituents
exchanging spin-0 particles. In light-front dynamics, however, individual
time-ordered diagrams are divergent. We analyze the corresponding light-front
singularities and show the equivalence between the light-front and covariant
results by taming the singularities.
| [
{
"created": "Mon, 30 Oct 2006 14:35:04 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Bakker",
"Bernard L. G.",
"",
"Department of Physics and\n Astrophysics, Vrije Universiteit"
],
[
"Boomsma",
"Jorn K.",
"",
"Department of Physics and\n Astrophysics, Vrije Universiteit"
],
[
"Ji",
"Chueng-Ryong",
"",
"Department of Physics,\n North Carolina State University"
]
] | We present a light-front calculation of the box diagram in Yukawa theory. The covariant box diagram is finite for the case of spin-1/2 constituents exchanging spin-0 particles. In light-front dynamics, however, individual time-ordered diagrams are divergent. We analyze the corresponding light-front singularities and show the equivalence between the light-front and covariant results by taming the singularities. |
hep-th/9308099 | Herbert W. Hamber | Herbert W. Hamber (UC Irvine) and Ruth M. Williams (DAMTP, Cambridge) | Simplicial Gravity Coupled to Scalar Matter | (34 pages + 8 figures) | Nucl.Phys. B415 (1994) 463-496 | 10.1016/0550-3213(94)90119-8 | null | hep-th | null | A model for quantized gravity coupled to matter in the form of a single
scalar field is investigated in four dimensions. For the metric degrees of
freedom we employ Regge's simplicial discretization, with the scalar fields
defined at the vertices of the four-simplices. We examine how the continuous
phase transition found earlier, separating the smooth from the rough phase of
quantized gravity, is influenced by the presence of scalar matter. A
determination of the critical exponents seems to indicate that the effects of
matter are rather small, unless the number of scalar flavors is large. Close to
the critical point where the average curvature approaches zero, the coupling of
matter to gravity is found to be weak. The nature of the phase diagram and the
values for the critical exponents suggest that gravitational interactions
increase with distance. \vspace{24pt} \vfill
| [
{
"created": "Fri, 20 Aug 1993 18:09:25 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Hamber",
"Herbert W.",
"",
"UC Irvine"
],
[
"Williams",
"Ruth M.",
"",
"DAMTP, Cambridge"
]
] | A model for quantized gravity coupled to matter in the form of a single scalar field is investigated in four dimensions. For the metric degrees of freedom we employ Regge's simplicial discretization, with the scalar fields defined at the vertices of the four-simplices. We examine how the continuous phase transition found earlier, separating the smooth from the rough phase of quantized gravity, is influenced by the presence of scalar matter. A determination of the critical exponents seems to indicate that the effects of matter are rather small, unless the number of scalar flavors is large. Close to the critical point where the average curvature approaches zero, the coupling of matter to gravity is found to be weak. The nature of the phase diagram and the values for the critical exponents suggest that gravitational interactions increase with distance. \vspace{24pt} \vfill |
1810.12668 | Piyabut Burikham | Trithos Rojjanason, Piyabut Burikham, Kulapant Pimsamarn | Charged fermion in $(1+2)$-dimensional wormhole with axial magnetic
field | 24 pages, 2 figures, revised version submitted to journal on June 17,
2019 | null | 10.1140/epjc/s10052-019-7156-y | null | hep-th cond-mat.other quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the effects of magnetic field on a charged fermion in a
$(1+2)$-dimensional wormhole. Applying external magnetic field along the axis
direction of the wormhole, the Dirac equation is set up and analytically solved
in two scenarios, constant magnetic flux and constant magnetic field through
the throat of the wormhole. For the constant magnetic flux scenario, the system
can be solved analytically and exact solutions are found. For the constant
magnetic field scenario, with the short wormhole approximation, the quantized
energies and eigenstates are obtained. The system exhibits both the spin-orbit
coupling and the Landau quantization for the stationary states in both
scenarios. The intrinsic curvature of the surface induces the spin-orbit and
spin-magnetic Landau couplings that generate imaginary energy. Imaginary energy
can be interpreted as the energy dissipation and instability of the states.
Generically, the states of charged fermion in wormhole are quasinormal
modes~(QNMs) that could be unstable for positive imaginary frequencies and
decaying for negative imaginary ones. For the constant flux scenario, the
fermions in the wormhole can behave like bosons and have arbitrary statistics
depending on the flux. We also discuss the implications of our results in the
graphene wormhole system.
| [
{
"created": "Tue, 30 Oct 2018 11:27:46 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Jun 2019 07:06:32 GMT",
"version": "v2"
}
] | 2019-09-04 | [
[
"Rojjanason",
"Trithos",
""
],
[
"Burikham",
"Piyabut",
""
],
[
"Pimsamarn",
"Kulapant",
""
]
] | We investigate the effects of magnetic field on a charged fermion in a $(1+2)$-dimensional wormhole. Applying external magnetic field along the axis direction of the wormhole, the Dirac equation is set up and analytically solved in two scenarios, constant magnetic flux and constant magnetic field through the throat of the wormhole. For the constant magnetic flux scenario, the system can be solved analytically and exact solutions are found. For the constant magnetic field scenario, with the short wormhole approximation, the quantized energies and eigenstates are obtained. The system exhibits both the spin-orbit coupling and the Landau quantization for the stationary states in both scenarios. The intrinsic curvature of the surface induces the spin-orbit and spin-magnetic Landau couplings that generate imaginary energy. Imaginary energy can be interpreted as the energy dissipation and instability of the states. Generically, the states of charged fermion in wormhole are quasinormal modes~(QNMs) that could be unstable for positive imaginary frequencies and decaying for negative imaginary ones. For the constant flux scenario, the fermions in the wormhole can behave like bosons and have arbitrary statistics depending on the flux. We also discuss the implications of our results in the graphene wormhole system. |
hep-th/9409131 | Vadim Vereschagin | V.L.Vereschagin | Asymptotic Classification of Solutions of the Discrete Painlev\'E-1
Equation | 23 pp., Latex | null | null | null | hep-th | null | The main subject of the paper is the so-called Discrete Painlev\'e-1 Equation
(DP1). Solutions of the DP1 are classified under criterion of their behavior
while argument tends to infinity. The appropriate theorems of existence are
proved.
| [
{
"created": "Mon, 19 Sep 1994 06:49:55 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Vereschagin",
"V. L.",
""
]
] | The main subject of the paper is the so-called Discrete Painlev\'e-1 Equation (DP1). Solutions of the DP1 are classified under criterion of their behavior while argument tends to infinity. The appropriate theorems of existence are proved. |
1402.3572 | Jong-Ping Hsu | Jong-Ping Hsu | A Generalization of Gauge Symmetry, Fourth-Order Gauge Field Equations
and Accelerated Cosmic-Expansion | 15 pages, to be published in Modern Physics Letters A, 29 (2014) | Mod. Phys. Lett. A, Vol. 29, No. 6 (2014) 1450031 | 10.1142/S021773231450031X | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A generalization of the usual gauge symmetry leads to fourth-order gauge
field equations, which imply a new constant force independent of distances. The
force associated with the new $U_1$ gauge symmetry is repulsive among baryons.
Such a constant force based on baryon charge conservation gives a
field-theoretic understanding of the accelerated cosmic-expansion in the
observable portion of the universe dominated by baryon galaxies. In consistent
with all conservation laws and known forces, a simple rotating `dumbbell model'
of the universe is briefly discussed.
| [
{
"created": "Fri, 14 Feb 2014 20:27:45 GMT",
"version": "v1"
}
] | 2014-02-26 | [
[
"Hsu",
"Jong-Ping",
""
]
] | A generalization of the usual gauge symmetry leads to fourth-order gauge field equations, which imply a new constant force independent of distances. The force associated with the new $U_1$ gauge symmetry is repulsive among baryons. Such a constant force based on baryon charge conservation gives a field-theoretic understanding of the accelerated cosmic-expansion in the observable portion of the universe dominated by baryon galaxies. In consistent with all conservation laws and known forces, a simple rotating `dumbbell model' of the universe is briefly discussed. |
0803.1801 | Roberto Emparan | Roberto Emparan | Exact Microscopic Entropy of Non-Supersymmetric Extremal Black Rings | 7 pages. v2: minor improvements, ref added | Class.Quant.Grav.25:175005,2008 | 10.1088/0264-9381/25/17/175005 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this brief note we show that the horizon entropy of the largest known
class of non-supersymmetric extremal black rings, with up to six parameters, is
exactly reproduced for all values of the ring radius using the same conformal
field theory of the four-charge four-dimensional black hole. A particularly
simple case is a dipole black ring without any conserved charges. The mass gets
renormalized, but the first corrections it receives can be easily understood as
an interaction potential energy. Finally, we stress that even if the entropy is
correctly reproduced, this only implies that one sector of chiral excitations
has been identified, but an understanding of excitations in the other sector is
still required in order to capture the black ring dynamics.
| [
{
"created": "Wed, 12 Mar 2008 15:47:19 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Apr 2008 15:55:38 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Emparan",
"Roberto",
""
]
] | In this brief note we show that the horizon entropy of the largest known class of non-supersymmetric extremal black rings, with up to six parameters, is exactly reproduced for all values of the ring radius using the same conformal field theory of the four-charge four-dimensional black hole. A particularly simple case is a dipole black ring without any conserved charges. The mass gets renormalized, but the first corrections it receives can be easily understood as an interaction potential energy. Finally, we stress that even if the entropy is correctly reproduced, this only implies that one sector of chiral excitations has been identified, but an understanding of excitations in the other sector is still required in order to capture the black ring dynamics. |
hep-th/9507138 | Nobuki Maeda | Nobuki Maeda | Chiral Anomaly and Effective Field Theory for the Quantum Hall Liquid
with Edges | 13 pages, LaTex, figures not included, references are added | Phys.Lett. B376 (1996) 142-147 | 10.1016/0370-2693(96)00274-2 | EPHOU-95-004 | hep-th cond-mat | null | Under general assumptions, we present a low-energy effective action for the
quantum Hall state when edges exist. It is shown that the chiral edge current
is necessary to make the effective action to be gauge invariant. However the
chiral edge current is irrelevant to the Hall current. The exactly quantized
value of $\sigma_{xy}$ is observed only when the Hall current does not flow at
the edge region. Our effective theory is applicable to the quantum Hall liquid
on a surface with non-trivial topology and physical meanings of the topology
are discussed.
| [
{
"created": "Wed, 26 Jul 1995 06:57:13 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Jul 1995 09:34:29 GMT",
"version": "v2"
},
{
"created": "Fri, 28 Jul 1995 04:27:19 GMT",
"version": "v3"
}
] | 2009-10-28 | [
[
"Maeda",
"Nobuki",
""
]
] | Under general assumptions, we present a low-energy effective action for the quantum Hall state when edges exist. It is shown that the chiral edge current is necessary to make the effective action to be gauge invariant. However the chiral edge current is irrelevant to the Hall current. The exactly quantized value of $\sigma_{xy}$ is observed only when the Hall current does not flow at the edge region. Our effective theory is applicable to the quantum Hall liquid on a surface with non-trivial topology and physical meanings of the topology are discussed. |
1907.13026 | Pablo Rodr\'iguez | Cristi\'an Erices, Miguel Riquelme, Pablo Rodr\'iguez | BTZ black hole with KdV-type boundary conditions: Thermodynamics
revisited | 19 pages, 1 figure. Minor clarifications, affiliation added | Phys. Rev. D 100, 126026 (2019) | 10.1103/PhysRevD.100.126026 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The thermodynamic properties of the Ba\~nados-Teitelboim-Zanelli (BTZ) black
hole endowed with Korteweg-de Vries (KdV)-type boundary conditions are
considered. This familiy of boundary conditions for General Relativity on
AdS$_{3}$ is labeled by a non-negative integer $n$, and gives rise to a dual
theory which possesses anisotropic Lifshitz scaling invariance with dynamical
exponent $z=2n+1$. We show that from the scale invariance of the action for
stationary and circularly symmetric spacetimes, an anisotropic version of the
Smarr relation arises, and we prove that it is totally consistent with the
previously reported anisotropic Cardy formula. The set of KdV-type boundary
conditions defines an unconventional thermodynamic ensemble, which leads to a
generalized description of the thermal stability of the system. Finally, we
show that at the self-dual temperature $T_{s}=
\frac{1}{2\pi}(\frac{1}{z})^{\frac{z}{z+1}}$, there is a Hawking-Page phase
transition between the BTZ black hole and thermal AdS$_{3}$ spacetime.
| [
{
"created": "Tue, 30 Jul 2019 15:41:22 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Sep 2019 21:24:16 GMT",
"version": "v2"
}
] | 2020-01-08 | [
[
"Erices",
"Cristián",
""
],
[
"Riquelme",
"Miguel",
""
],
[
"Rodríguez",
"Pablo",
""
]
] | The thermodynamic properties of the Ba\~nados-Teitelboim-Zanelli (BTZ) black hole endowed with Korteweg-de Vries (KdV)-type boundary conditions are considered. This familiy of boundary conditions for General Relativity on AdS$_{3}$ is labeled by a non-negative integer $n$, and gives rise to a dual theory which possesses anisotropic Lifshitz scaling invariance with dynamical exponent $z=2n+1$. We show that from the scale invariance of the action for stationary and circularly symmetric spacetimes, an anisotropic version of the Smarr relation arises, and we prove that it is totally consistent with the previously reported anisotropic Cardy formula. The set of KdV-type boundary conditions defines an unconventional thermodynamic ensemble, which leads to a generalized description of the thermal stability of the system. Finally, we show that at the self-dual temperature $T_{s}= \frac{1}{2\pi}(\frac{1}{z})^{\frac{z}{z+1}}$, there is a Hawking-Page phase transition between the BTZ black hole and thermal AdS$_{3}$ spacetime. |
0805.2763 | Gabriele Travaglini | Andreas Brandhuber, Paul Heslop, Adele Nasti, Bill Spence, Gabriele
Travaglini | Four-point Amplitudes in N=8 Supergravity and Wilson Loops | 32 pages, 4 figures. v2: typos corrected. v3: Clarifications added in
section 3, typos fixed. Published version to appear in Nuclear Physics B | Nucl.Phys.B807:290-314,2009 | 10.1016/j.nuclphysb.2008.09.010 | QMUL-PH-08-11 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Prompted by recent progress in the study of N=4 super Yang-Mills amplitudes,
and evidence that similar approaches might be relevant to N=8 supergravity, we
investigate possible iterative structures and applications of Wilson loop
techniques in maximal supergravity. We first consider the two-loop, four-point
MHV scattering amplitude in N=8 supergravity, confirming that the infrared
divergent parts exponentiate, and we give the explicit expression which
represents the failure for this to occur for the finite part. We observe that
each term in the expansion of the one- and two-loop amplitudes in the
dimensional regularisation parameter epsilon has a uniform degree of
transcendentality. We then turn to consider Wilson loops in supergravity,
showing that a natural definition of the loop, involving the Christoffel
connection, fails to reproduce the one-loop amplitude. An alternative
expression, which involves the metric explicitly, is shown to have a close
relationship with the physical amplitude. We find that in a gauge in which the
cusp diagrams vanish, the remaining diagrams for this Wilson loop correctly
generate the full one-loop, four-point N=8 supergravity amplitude.
| [
{
"created": "Mon, 19 May 2008 19:54:21 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Jul 2008 15:16:07 GMT",
"version": "v2"
},
{
"created": "Wed, 3 Sep 2008 11:45:46 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Brandhuber",
"Andreas",
""
],
[
"Heslop",
"Paul",
""
],
[
"Nasti",
"Adele",
""
],
[
"Spence",
"Bill",
""
],
[
"Travaglini",
"Gabriele",
""
]
] | Prompted by recent progress in the study of N=4 super Yang-Mills amplitudes, and evidence that similar approaches might be relevant to N=8 supergravity, we investigate possible iterative structures and applications of Wilson loop techniques in maximal supergravity. We first consider the two-loop, four-point MHV scattering amplitude in N=8 supergravity, confirming that the infrared divergent parts exponentiate, and we give the explicit expression which represents the failure for this to occur for the finite part. We observe that each term in the expansion of the one- and two-loop amplitudes in the dimensional regularisation parameter epsilon has a uniform degree of transcendentality. We then turn to consider Wilson loops in supergravity, showing that a natural definition of the loop, involving the Christoffel connection, fails to reproduce the one-loop amplitude. An alternative expression, which involves the metric explicitly, is shown to have a close relationship with the physical amplitude. We find that in a gauge in which the cusp diagrams vanish, the remaining diagrams for this Wilson loop correctly generate the full one-loop, four-point N=8 supergravity amplitude. |
2406.10176 | Christian Jepsen | N. Emil J. Bjerrum-Bohr and Christian Baadsgaard Jepsen | Scattering on the Worldvolume: Amplitude Relations in Brower-Goddard
String Models | version 2: explicit formulas added for the correction terms
$R^{(d)}(s,t)$ and two small typos fixed within the main text | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We investigate the Brower-Goddard extension of the Veneziano and
Virasoro-Shapiro four-point amplitudes obtained by generalizing the
Koba-Nielsen integrals to $d$-dimensional conformally invariant integrals. The
amplitudes derived from this framework exhibit polynomial residues and can be
shown to adhere to polynomial bounds at high energies. In odd dimensions, the
amplitudes decompose into sums of three partial amplitudes, enabling the
formulation of general amplitude relations that subsume the Kawai-Lewellen-Tye
(KLT) formula as a particular case. The amplitudes contain multiple tachyons in
their spectra. Still, we demonstrate that their residues comply with the
positivity conditions mandated by unitarity for spacetime dimensions at or
below critical values $D_\text{crit}(d)$, where $D_\text{crit}(6)=26$ and
$D_\text{crit}(\infty)=10$. In closing, we contemplate physical applications
for membranes and potential extensions of the formalism.
| [
{
"created": "Fri, 14 Jun 2024 16:55:23 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Jun 2024 14:05:10 GMT",
"version": "v2"
}
] | 2024-06-28 | [
[
"Bjerrum-Bohr",
"N. Emil J.",
""
],
[
"Jepsen",
"Christian Baadsgaard",
""
]
] | We investigate the Brower-Goddard extension of the Veneziano and Virasoro-Shapiro four-point amplitudes obtained by generalizing the Koba-Nielsen integrals to $d$-dimensional conformally invariant integrals. The amplitudes derived from this framework exhibit polynomial residues and can be shown to adhere to polynomial bounds at high energies. In odd dimensions, the amplitudes decompose into sums of three partial amplitudes, enabling the formulation of general amplitude relations that subsume the Kawai-Lewellen-Tye (KLT) formula as a particular case. The amplitudes contain multiple tachyons in their spectra. Still, we demonstrate that their residues comply with the positivity conditions mandated by unitarity for spacetime dimensions at or below critical values $D_\text{crit}(d)$, where $D_\text{crit}(6)=26$ and $D_\text{crit}(\infty)=10$. In closing, we contemplate physical applications for membranes and potential extensions of the formalism. |
hep-th/9302008 | Enrique Alvarez | E. Alvarez, J.M. Gracia-Bondia and C.P. Martin | Parameter restrictions in a non-commutative geometry model do not
survive standard quantum corrections | 8 pages, LaTeX | Phys.Lett.B306:55-58,1993 | 10.1016/0370-2693(93)91137-C | null | hep-th | null | We have investigated the standard one-loop quantum corrections for a
particularly simple non-commutative geometry model containing fermions
interacting with a unique abelian gauge field and a unique scalar through
Yukawa couplings. In this model there are certain relations among the different
coupling constants quite similar to the ones appearing in the Connes-Lott
version of the standard model. We find that it is not possible to implement
those relations in a renormalization-group invariant way.
| [
{
"created": "Tue, 2 Feb 1993 18:11:46 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Alvarez",
"E.",
""
],
[
"Gracia-Bondia",
"J. M.",
""
],
[
"Martin",
"C. P.",
""
]
] | We have investigated the standard one-loop quantum corrections for a particularly simple non-commutative geometry model containing fermions interacting with a unique abelian gauge field and a unique scalar through Yukawa couplings. In this model there are certain relations among the different coupling constants quite similar to the ones appearing in the Connes-Lott version of the standard model. We find that it is not possible to implement those relations in a renormalization-group invariant way. |
1003.4965 | Oren Bergman Dr. | Oren Bergman, Niko Jokela, Gilad Lifschytz, Matthew Lippert | Quantum Hall Effect in a Holographic Model | v2: 27 pages, 12 figures. There is a major revision in the
quantitative analysis. The qualitative results and conclusions are unchanged,
with one exception: we show that the quantum Hall state embeddings, which
exist for discrete values of the filling fraction, deform continuously into
metallic state embeddings away from these filling fractions | JHEP 1010:063,2010 | 10.1007/JHEP10(2010)063 | CCTP-2010-4 | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a holographic description of a system of strongly coupled
fermions in 2+1 dimensions based on a D7-brane probe in the background of
D3-branes, and construct stable embeddings by turning on worldvolume fluxes. We
study the system at finite temperature and charge density, and in the presence
of a background magnetic field. We show that Minkowski-like embeddings that
terminate above the horizon describe a family of quantum Hall states with
filling fractions that are parameterized by a single discrete parameter. The
quantization of the Hall conductivity is a direct consequence of the
topological quantization of the fluxes. When the magnetic field is varied
relative to the charge density away from these discrete filling fractions, the
embeddings deform continuously into black-hole-like embeddings that enter the
horizon and that describe metallic states. We also study the thermodynamics of
this system and show that there is a first order phase transition at a critical
temperature from the quantum Hall state to the metallic state.
| [
{
"created": "Thu, 25 Mar 2010 18:11:30 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Jul 2010 19:02:50 GMT",
"version": "v2"
}
] | 2015-03-13 | [
[
"Bergman",
"Oren",
""
],
[
"Jokela",
"Niko",
""
],
[
"Lifschytz",
"Gilad",
""
],
[
"Lippert",
"Matthew",
""
]
] | We consider a holographic description of a system of strongly coupled fermions in 2+1 dimensions based on a D7-brane probe in the background of D3-branes, and construct stable embeddings by turning on worldvolume fluxes. We study the system at finite temperature and charge density, and in the presence of a background magnetic field. We show that Minkowski-like embeddings that terminate above the horizon describe a family of quantum Hall states with filling fractions that are parameterized by a single discrete parameter. The quantization of the Hall conductivity is a direct consequence of the topological quantization of the fluxes. When the magnetic field is varied relative to the charge density away from these discrete filling fractions, the embeddings deform continuously into black-hole-like embeddings that enter the horizon and that describe metallic states. We also study the thermodynamics of this system and show that there is a first order phase transition at a critical temperature from the quantum Hall state to the metallic state. |
1108.6049 | Simone Giacomelli | Lorenzo Di Pietro, Simone Giacomelli | Confining vacua in SQCD, the Konishi anomaly and the Dijkgraaf-Vafa
superpotential | 29 pages, 2 figures; typos corrected | null | 10.1007/JHEP02(2012)087 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we revisit the analysis of vacua in N=2 SQCD with generic bare
quark masses, softly broken by a mass term for the chiral superfield \Phi in
the adjoint representation of the gauge group. These vacua are labelled by an
integer r (r vacua) and can be studied at the semiclassical level by means of
the equations of motion (for large mass) or nonperturbatively by means of the
Seiberg-Witten curve (for small mass). Making use of the Konishi anomaly and of
the Dijkgraaf-Vafa superpotential we are able to interpolate between these two
limits and better understand the properties of these vacua. In particular, we
clarify the origin of the two to one map that relates semiclassical to quantum
vacua.
| [
{
"created": "Tue, 30 Aug 2011 19:50:14 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Sep 2011 15:10:59 GMT",
"version": "v2"
}
] | 2015-05-30 | [
[
"Di Pietro",
"Lorenzo",
""
],
[
"Giacomelli",
"Simone",
""
]
] | In this paper we revisit the analysis of vacua in N=2 SQCD with generic bare quark masses, softly broken by a mass term for the chiral superfield \Phi in the adjoint representation of the gauge group. These vacua are labelled by an integer r (r vacua) and can be studied at the semiclassical level by means of the equations of motion (for large mass) or nonperturbatively by means of the Seiberg-Witten curve (for small mass). Making use of the Konishi anomaly and of the Dijkgraaf-Vafa superpotential we are able to interpolate between these two limits and better understand the properties of these vacua. In particular, we clarify the origin of the two to one map that relates semiclassical to quantum vacua. |
1610.08800 | Alessio Marrani | M. J. Duff, S. Ferrara, A. Marrani | D = 3 Unification of Curious Supergravities | 1+7 pages; v2 : minor refinements, one Ref. added, matches published
version | null | 10.1007/JHEP01(2017)023 | Imperial/TP/2016/mjd/3; CERN-TH-2016-225; DFPD/2016/TH/18 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the dimensional reduction to D = 3 of four maximal-rank
supergravities which preserve minimal supersymmetry in D = 11, 7, 5 and 4. Such
"curious" theories were investigated some time ago, and the four-dimensional
one corresponds to an N = 1 supergravity with 7 chiral multiplets spanning the
seven-disk manifold. Recently, this latter theory provided cosmological models
for alpha-attractors, which are based on the disk geometry with possible
restrictions on the parameter alpha. A unified picture emerges in D = 3, where
the Ehlers group of General Relativity merges with the S-, T- and U- dualities
of the D = 4 parent theories.
| [
{
"created": "Thu, 27 Oct 2016 14:32:32 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Jan 2017 12:16:05 GMT",
"version": "v2"
}
] | 2017-02-01 | [
[
"Duff",
"M. J.",
""
],
[
"Ferrara",
"S.",
""
],
[
"Marrani",
"A.",
""
]
] | We consider the dimensional reduction to D = 3 of four maximal-rank supergravities which preserve minimal supersymmetry in D = 11, 7, 5 and 4. Such "curious" theories were investigated some time ago, and the four-dimensional one corresponds to an N = 1 supergravity with 7 chiral multiplets spanning the seven-disk manifold. Recently, this latter theory provided cosmological models for alpha-attractors, which are based on the disk geometry with possible restrictions on the parameter alpha. A unified picture emerges in D = 3, where the Ehlers group of General Relativity merges with the S-, T- and U- dualities of the D = 4 parent theories. |
hep-th/0312229 | Alfredo Herrera-Aguilar | Alfredo Herrera-Aguilar and Marek Nowakowski | Charged Dual String Vacua from Interacting Rotating Black Holes Via
Discrete and Nonlinear Symmetries | 19 pages in latex, added reference | Class.Quant.Grav.21:1015-1030,2004 | 10.1088/0264-9381/21/4/020 | null | hep-th | null | Using the stationary formulation of the toroidally compactified heterotic
string theory in terms of a pair of matrix Ernst potentials we consider the
four-dimensional truncation of this theory with no U(1) vector fields excited.
Imposing one time-like Killing vector permits us to express the stationary
effective action as a model in which gravity is coupled to a matrix Ernst
potential which, under certain parametrization, allows us to interpret the
matter sector of this theory as a double Ernst system. We generate a web of
string vacua which are related to each other via a set of discrete symmetries
of the effective action (some of them involve S-duality transformations and
possess non-perturbative character). Some physical implications of these
discrete symmetries are analyzed and we find that, in some particular cases,
they relate rotating black holes coupled to a dilaton with no Kalb--Ramond
field, static black holes with non-trivial dilaton and antisymmetric tensor
fields, and rotating and static naked singularities. Further, by applying a
nonlinear symmetry, namely, the so-called normalized Harrison transformation,
on the seed field configurations corresponding to these neutral backgrounds, we
recover the U(1)^n Abelian vector sector of the four-dimensional action of the
heterotic string, charging in this way the double Ernst system which
corresponds to each one of the neutral string vacua, i.e., the stationary and
the static black holes and the naked singularities.
| [
{
"created": "Thu, 18 Dec 2003 15:52:38 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Jan 2004 19:28:33 GMT",
"version": "v2"
}
] | 2010-11-19 | [
[
"Herrera-Aguilar",
"Alfredo",
""
],
[
"Nowakowski",
"Marek",
""
]
] | Using the stationary formulation of the toroidally compactified heterotic string theory in terms of a pair of matrix Ernst potentials we consider the four-dimensional truncation of this theory with no U(1) vector fields excited. Imposing one time-like Killing vector permits us to express the stationary effective action as a model in which gravity is coupled to a matrix Ernst potential which, under certain parametrization, allows us to interpret the matter sector of this theory as a double Ernst system. We generate a web of string vacua which are related to each other via a set of discrete symmetries of the effective action (some of them involve S-duality transformations and possess non-perturbative character). Some physical implications of these discrete symmetries are analyzed and we find that, in some particular cases, they relate rotating black holes coupled to a dilaton with no Kalb--Ramond field, static black holes with non-trivial dilaton and antisymmetric tensor fields, and rotating and static naked singularities. Further, by applying a nonlinear symmetry, namely, the so-called normalized Harrison transformation, on the seed field configurations corresponding to these neutral backgrounds, we recover the U(1)^n Abelian vector sector of the four-dimensional action of the heterotic string, charging in this way the double Ernst system which corresponds to each one of the neutral string vacua, i.e., the stationary and the static black holes and the naked singularities. |
hep-th/0302022 | Gazeau | T. Garidi, J-P. Gazeau and M. Takook | Massive Spin-2 Field in De Sitter Space | null | J.Math.Phys. 44 (2003) 3838-3862 | 10.1063/1.1599055 | null | hep-th | null | In this paper we present a covariant quantization of the ``massive'' spin-2
field on de Sitter (dS) space. By ``massive'' we mean a field which carries a
specific principal series representation of the dS group. The work is in the
direct continuation of previous ones concerning the scalar, the spinor and the
vector cases. The quantization procedure, independent of the choice of the
coordinate system, is based on the Wightman-Garding axiomatic and on
analyticity requirements for the two-point function in the complexified
pseudo-Riemanian manifold. Such a construction is necessary in view of
preparing and comparing with the dS conformal spin-2 massless case (dS linear
quantum gravity) which will be considered in a forthcoming paper and for which
specific quantization methods are needed.
| [
{
"created": "Tue, 4 Feb 2003 14:08:12 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Garidi",
"T.",
""
],
[
"Gazeau",
"J-P.",
""
],
[
"Takook",
"M.",
""
]
] | In this paper we present a covariant quantization of the ``massive'' spin-2 field on de Sitter (dS) space. By ``massive'' we mean a field which carries a specific principal series representation of the dS group. The work is in the direct continuation of previous ones concerning the scalar, the spinor and the vector cases. The quantization procedure, independent of the choice of the coordinate system, is based on the Wightman-Garding axiomatic and on analyticity requirements for the two-point function in the complexified pseudo-Riemanian manifold. Such a construction is necessary in view of preparing and comparing with the dS conformal spin-2 massless case (dS linear quantum gravity) which will be considered in a forthcoming paper and for which specific quantization methods are needed. |
0709.3499 | J. David Vergara | Marcos Rosenbaum, J. David Vergara and L. Roman Juarez | Noncommutative Field Theory from Quantum Mechanical Space-Space
Noncommutativity | 13 pages | Phys.Lett.A367:1-10,2007 | 10.1016/j.physleta.2007.02.068 | null | hep-th | null | We investigate the incorporation of space noncommutativity into field theory
by extending to the spectral continuum the minisuperspace action of the quantum
mechanical harmonic oscillator propagator with an enlarged Heisenberg algebra.
In addition to the usual $\star$-product deformation of the algebra of field
functions, we show that the parameter of noncommutativity can occur in
noncommutative field theory even in the case of free fields without
self-interacting potentials.
| [
{
"created": "Fri, 21 Sep 2007 18:34:17 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Rosenbaum",
"Marcos",
""
],
[
"Vergara",
"J. David",
""
],
[
"Juarez",
"L. Roman",
""
]
] | We investigate the incorporation of space noncommutativity into field theory by extending to the spectral continuum the minisuperspace action of the quantum mechanical harmonic oscillator propagator with an enlarged Heisenberg algebra. In addition to the usual $\star$-product deformation of the algebra of field functions, we show that the parameter of noncommutativity can occur in noncommutative field theory even in the case of free fields without self-interacting potentials. |
hep-th/0610306 | Silvio Paolo Sorella | M. Capri, D. Dudal, J. Gracey, V. Lemes, R. Sobreiro, S. P. Sorella,
R. Thibes, H. Verschelde | Infrared behavior of the gluon and ghost propagators in Yang-Mills
theories | 11 pages, Fifth International Conference on Mathematical Methods in
Physics, 24-28 April, 2006, Rio de Janeiro, Brazil | PoSIC2006:026,2006 | null | LTH - 728 | hep-th | null | We provide a short discussion of the dimension two condensate <A^2> and its
influence on the infrared behaviour of the gluon propagator in the Landau
gauge. Simultaneously, we pay attention to the issue of Gribov copies in the
Landau gauge. We also briefly discuss a local, gauge invariant non-Abelian
action with mass parameter, constructed from the dimension 2 operator
$F_{\mu\nu} (D^2)^{-1} F_{\mu\nu}$.
| [
{
"created": "Sun, 29 Oct 2006 14:12:39 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Capri",
"M.",
""
],
[
"Dudal",
"D.",
""
],
[
"Gracey",
"J.",
""
],
[
"Lemes",
"V.",
""
],
[
"Sobreiro",
"R.",
""
],
[
"Sorella",
"S. P.",
""
],
[
"Thibes",
"R.",
""
],
[
"Verschelde",
"H.",
""
]
] | We provide a short discussion of the dimension two condensate <A^2> and its influence on the infrared behaviour of the gluon propagator in the Landau gauge. Simultaneously, we pay attention to the issue of Gribov copies in the Landau gauge. We also briefly discuss a local, gauge invariant non-Abelian action with mass parameter, constructed from the dimension 2 operator $F_{\mu\nu} (D^2)^{-1} F_{\mu\nu}$. |
1511.06150 | Harold Erbin | Corinne de Lacroix, Harold Erbin, Eirik E. Svanes | Mabuchi spectrum from the minisuperspace | 4 pages; v2: change presentation but conclusion unchanged, match
published version | Phys.Lett. B758 (2016) 186-189 | 10.1016/j.physletb.2016.05.013 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It was recently shown that other functionals contribute to the effective
action for the Liouville field when considering massive matter coupled to
two-dimensional gravity in the conformal gauge. The most important of these new
contributions corresponds to the Mabuchi functional. We propose a
minisuperspace action that reproduces the main features of the Mabuchi action
in order to describe the dynamics of the zero-mode. We show that the associated
Hamiltonian coincides with the (quantum mechanical) Liouville Hamiltonian. As a
consequence the Liouville theory and our model of the Mabuchi theory both share
the same spectrum, eigenfunctions and - in this approximation - correlation
functions.
| [
{
"created": "Thu, 19 Nov 2015 13:05:55 GMT",
"version": "v1"
},
{
"created": "Wed, 25 May 2016 11:26:54 GMT",
"version": "v2"
}
] | 2016-05-26 | [
[
"de Lacroix",
"Corinne",
""
],
[
"Erbin",
"Harold",
""
],
[
"Svanes",
"Eirik E.",
""
]
] | It was recently shown that other functionals contribute to the effective action for the Liouville field when considering massive matter coupled to two-dimensional gravity in the conformal gauge. The most important of these new contributions corresponds to the Mabuchi functional. We propose a minisuperspace action that reproduces the main features of the Mabuchi action in order to describe the dynamics of the zero-mode. We show that the associated Hamiltonian coincides with the (quantum mechanical) Liouville Hamiltonian. As a consequence the Liouville theory and our model of the Mabuchi theory both share the same spectrum, eigenfunctions and - in this approximation - correlation functions. |
0805.3480 | Stefano Bellucci | S. Bellucci, S. Krivonos, A. Sutulin | N=4 supersymmetric 3-particles Calogero model | 13 pages, LaTeX file, PACS: 11.30.Pb, 03.65.-w | Nucl.Phys.B805:24-39,2008 | 10.1016/j.nuclphysb.2008.06.024 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We constructed the most general N=4 superconformal 3-particles systems with
translation invariance. In the basis with decoupled center of mass the
supercharges and Hamiltonian possess one arbitrary function which defines all
potential terms. We have shown that with the proper choice of this function one
may describe the standard, $A_2$ Calogero model as well as $BC_2, B_2,C_2$ and
$D_2$ Calogero models with N=4 superconformal symmetry. The main property of
all these systems is that even with the coupling constant equal to zero they
still contain nontrivial interactions in the fermionic sector. In other words,
there are infinitely many non equivalent N=4 supersymmetric extensions of the
free action depending on one arbitrary function. We also considered
quantization and explicitly showed how the supercharges and Hamiltonian are
modified.
| [
{
"created": "Thu, 22 May 2008 14:59:06 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Bellucci",
"S.",
""
],
[
"Krivonos",
"S.",
""
],
[
"Sutulin",
"A.",
""
]
] | We constructed the most general N=4 superconformal 3-particles systems with translation invariance. In the basis with decoupled center of mass the supercharges and Hamiltonian possess one arbitrary function which defines all potential terms. We have shown that with the proper choice of this function one may describe the standard, $A_2$ Calogero model as well as $BC_2, B_2,C_2$ and $D_2$ Calogero models with N=4 superconformal symmetry. The main property of all these systems is that even with the coupling constant equal to zero they still contain nontrivial interactions in the fermionic sector. In other words, there are infinitely many non equivalent N=4 supersymmetric extensions of the free action depending on one arbitrary function. We also considered quantization and explicitly showed how the supercharges and Hamiltonian are modified. |
2007.15653 | Jordan Cotler | Jordan Cotler, Kristan Jensen | AdS$_3$ wormholes from a modular bootstrap | 20 pages, 1 figure; v2: typos fixed, reference added; v3: published
version, minor typo fixed | null | 10.1007/JHEP11(2020)058 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In recent work we computed the path integral of three-dimensional gravity
with negative cosmological constant on spaces which are topologically a torus
times an interval. Here we employ a modular bootstrap to show that the
amplitude is completely fixed by consistency conditions and a few basic inputs
from gravity. This bootstrap is notably for an ensemble of CFTs, rather than
for a single instance. We also compare the 3d gravity result with the Narain
ensemble. The former is well-approximated at low temperature by a random matrix
theory ansatz, and we conjecture that this behavior is generic for an ensemble
of CFTs at large central charge with a chaotic spectrum of heavy operators.
| [
{
"created": "Thu, 30 Jul 2020 18:00:00 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Aug 2020 17:50:55 GMT",
"version": "v2"
},
{
"created": "Mon, 18 Jan 2021 19:45:23 GMT",
"version": "v3"
}
] | 2021-01-20 | [
[
"Cotler",
"Jordan",
""
],
[
"Jensen",
"Kristan",
""
]
] | In recent work we computed the path integral of three-dimensional gravity with negative cosmological constant on spaces which are topologically a torus times an interval. Here we employ a modular bootstrap to show that the amplitude is completely fixed by consistency conditions and a few basic inputs from gravity. This bootstrap is notably for an ensemble of CFTs, rather than for a single instance. We also compare the 3d gravity result with the Narain ensemble. The former is well-approximated at low temperature by a random matrix theory ansatz, and we conjecture that this behavior is generic for an ensemble of CFTs at large central charge with a chaotic spectrum of heavy operators. |
hep-th/9605234 | Gautam Mandal | Avinash Dhar, Gautam Mandal and Spenta R. Wadia | Absorption vs Decay of Black holes in string theory and T-symmetry | 17 pages, latex, no figures; version to appear in Physics Letters B | Phys.Lett. B388 (1996) 51-59 | 10.1016/0370-2693(96)01127-6 | TIFR-TH-96/26 | hep-th | null | Classically a black hole can absorb but not emit energy. We discuss how this
T-asymmetric property of black holes arises in the recently proposed
(T-symmetric) microscopic models of black holes based on bound states of
D-branes. In these string theory based models, the nonvanishing classical
absorption is made possible essentially by the exponentially increasing
degeneracy of quantum states with mass of the black hole. The classical limit
of the absorption crosssection computed in the microscopic model agrees with
the result obtained from a classical analysis of a wave propagating in the
background metric of the corresponding black hole (upto a numerical factor).
| [
{
"created": "Mon, 3 Jun 1996 07:47:10 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Jun 1996 10:10:29 GMT",
"version": "v2"
},
{
"created": "Sun, 14 Jul 1996 10:12:59 GMT",
"version": "v3"
},
{
"created": "Tue, 27 Aug 1996 13:00:53 GMT",
"version": "v4"
}
] | 2009-10-30 | [
[
"Dhar",
"Avinash",
""
],
[
"Mandal",
"Gautam",
""
],
[
"Wadia",
"Spenta R.",
""
]
] | Classically a black hole can absorb but not emit energy. We discuss how this T-asymmetric property of black holes arises in the recently proposed (T-symmetric) microscopic models of black holes based on bound states of D-branes. In these string theory based models, the nonvanishing classical absorption is made possible essentially by the exponentially increasing degeneracy of quantum states with mass of the black hole. The classical limit of the absorption crosssection computed in the microscopic model agrees with the result obtained from a classical analysis of a wave propagating in the background metric of the corresponding black hole (upto a numerical factor). |
2211.09823 | Muldrow Etheredge | Muldrow Etheredge and Ben Heidenreich | Derivative Corrections to Extremal Black Holes with Moduli | 52 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive formulas for the leading mass, entropy, and long-range self-force
corrections to extremal black holes due to higher-derivative operators. These
formulas hold for black holes with arbitrary couplings to gauge fields and
moduli, provided that the leading-order solutions are static,
spherically-symmetric, extremal, and have nonzero horizon area. To use these
formulas, both the leading-order black hole solution and the higher-derivative
effective action must be known, but there is no need to solve the
derivative-corrected equations of motion. We demonstrate that the mass, entropy
and self-force corrections involve linearly-independent combinations of the
higher-derivative couplings at any given point in the moduli space, and comment
on their relations to various swampland conjectures.
| [
{
"created": "Thu, 17 Nov 2022 19:00:00 GMT",
"version": "v1"
}
] | 2022-11-21 | [
[
"Etheredge",
"Muldrow",
""
],
[
"Heidenreich",
"Ben",
""
]
] | We derive formulas for the leading mass, entropy, and long-range self-force corrections to extremal black holes due to higher-derivative operators. These formulas hold for black holes with arbitrary couplings to gauge fields and moduli, provided that the leading-order solutions are static, spherically-symmetric, extremal, and have nonzero horizon area. To use these formulas, both the leading-order black hole solution and the higher-derivative effective action must be known, but there is no need to solve the derivative-corrected equations of motion. We demonstrate that the mass, entropy and self-force corrections involve linearly-independent combinations of the higher-derivative couplings at any given point in the moduli space, and comment on their relations to various swampland conjectures. |
hep-th/0106005 | David Kutasov | A. Giveon, D. Kutasov and A. Schwimmer | Comments on D-branes in AdS_3 | 42 pages, harvmac; minor changes | Nucl.Phys. B615 (2001) 133-168 | 10.1016/S0550-3213(01)00438-2 | RI-6-01, EFI-01-20 | hep-th | null | We study D-branes that preserve a diagonal SL(2) affine Lie algebra in string
theory on AdS_3. We find three classes of solutions, corresponding to the
following representations of SL(2): (1) degenerate, finite dimensional
representations with half integer spin, (2) principal continuous series, (3)
principal discrete series. We solve the bootstrap equations for the vacuum wave
functions and discuss the corresponding open string spectrum. We argue that
from the point of view of the AdS/CFT correspondence, the above D-branes
introduce boundaries with conformal boundary conditions into the two
dimensional spacetime. Open string vertex operators correspond to boundary
perturbations. We also comment on the geometric interpretation of the branes.
| [
{
"created": "Fri, 1 Jun 2001 13:59:18 GMT",
"version": "v1"
},
{
"created": "Sun, 3 Jun 2001 16:07:56 GMT",
"version": "v2"
},
{
"created": "Tue, 3 Jul 2001 16:06:12 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Giveon",
"A.",
""
],
[
"Kutasov",
"D.",
""
],
[
"Schwimmer",
"A.",
""
]
] | We study D-branes that preserve a diagonal SL(2) affine Lie algebra in string theory on AdS_3. We find three classes of solutions, corresponding to the following representations of SL(2): (1) degenerate, finite dimensional representations with half integer spin, (2) principal continuous series, (3) principal discrete series. We solve the bootstrap equations for the vacuum wave functions and discuss the corresponding open string spectrum. We argue that from the point of view of the AdS/CFT correspondence, the above D-branes introduce boundaries with conformal boundary conditions into the two dimensional spacetime. Open string vertex operators correspond to boundary perturbations. We also comment on the geometric interpretation of the branes. |
2205.06707 | Dimitrios Gkiatas | Holger Gies, Dimitrios Gkiatas, Luca Zambelli | Background Effective Action with Nonlinear Massive Gauge Fixing | 24 pages, 3 figures | null | 10.1103/PhysRevD.106.116013 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We combine a recent construction of a BRST-invariant, nonlinear massive gauge
fixing with the background field formalism. The resulting generating functional
preserves background-field invariance as well as BRST invariance of the quantum
field manifestly. The construction features BRST-invariant mass parameters for
the quantum gauge and ghost fields. The formalism employs a background
Nakanishi-Lautrup field which is part of the nonlinear gauge-fixing sector and
thus should not affect observables. We verify this expectation by computing the
one-loop effective action and the corresponding beta function of the gauge
coupling as an example. The corresponding Schwinger functional generating
connected correlation functions acquires additional one-particle reducible
terms that vanish on shell. We also study off-shell one-loop contributions in
order to explore the consequences of a nonlinear gauge fixing scheme involving
a background Nakanishi-Lautrup field. As an application, we show that our
formalism straightforwardly accommodates nonperturbative information about
propagators in the Landau gauge in the form of the so-called decoupling
solution. Using this nonperturbative input, we find evidence for the formation
of a gluon condensate for sufficiently large coupling, whose scale is set by
the BRST-invariant gluon mass parameter.
| [
{
"created": "Fri, 13 May 2022 15:28:51 GMT",
"version": "v1"
}
] | 2023-01-04 | [
[
"Gies",
"Holger",
""
],
[
"Gkiatas",
"Dimitrios",
""
],
[
"Zambelli",
"Luca",
""
]
] | We combine a recent construction of a BRST-invariant, nonlinear massive gauge fixing with the background field formalism. The resulting generating functional preserves background-field invariance as well as BRST invariance of the quantum field manifestly. The construction features BRST-invariant mass parameters for the quantum gauge and ghost fields. The formalism employs a background Nakanishi-Lautrup field which is part of the nonlinear gauge-fixing sector and thus should not affect observables. We verify this expectation by computing the one-loop effective action and the corresponding beta function of the gauge coupling as an example. The corresponding Schwinger functional generating connected correlation functions acquires additional one-particle reducible terms that vanish on shell. We also study off-shell one-loop contributions in order to explore the consequences of a nonlinear gauge fixing scheme involving a background Nakanishi-Lautrup field. As an application, we show that our formalism straightforwardly accommodates nonperturbative information about propagators in the Landau gauge in the form of the so-called decoupling solution. Using this nonperturbative input, we find evidence for the formation of a gluon condensate for sufficiently large coupling, whose scale is set by the BRST-invariant gluon mass parameter. |
2006.09778 | Jan Horak | Jan Horak, Jan M. Pawlowski, Nicolas Wink | Spectral functions in the $\phi^4$-theory from the spectral DSE | 22 pages, 15 figures | Phys. Rev. D 102, 125016 (2020) | 10.1103/PhysRevD.102.125016 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop a non-perturbative functional framework for computing real-time
correlation functions in strongly correlated systems. The framework is based on
the spectral representation of correlation functions and dimensional
regularisation. Therefore, the non-perturbative spectral renormalisation setup
here respects all symmetries of the theories at hand. In particular this
includes space-time symmetries as well as internal symmetries such as chiral
symmetry, and gauge symmetries. Spectral renormalisation can be applied within
general functional approaches such as the functional renormalisation group,
Dyson-Schwinger equations, and two- or $n$-particle irreducible approaches. As
an application we compute the full, non-perturbative, spectral function of the
scalar field in the $\phi^4$-theory in $2+1$ dimensions from spectral
Dyson-Schwinger equations. We also compute the $s$-channel spectral function of
the full $\phi^4$-vertex in this theory.
| [
{
"created": "Wed, 17 Jun 2020 11:02:47 GMT",
"version": "v1"
}
] | 2021-01-04 | [
[
"Horak",
"Jan",
""
],
[
"Pawlowski",
"Jan M.",
""
],
[
"Wink",
"Nicolas",
""
]
] | We develop a non-perturbative functional framework for computing real-time correlation functions in strongly correlated systems. The framework is based on the spectral representation of correlation functions and dimensional regularisation. Therefore, the non-perturbative spectral renormalisation setup here respects all symmetries of the theories at hand. In particular this includes space-time symmetries as well as internal symmetries such as chiral symmetry, and gauge symmetries. Spectral renormalisation can be applied within general functional approaches such as the functional renormalisation group, Dyson-Schwinger equations, and two- or $n$-particle irreducible approaches. As an application we compute the full, non-perturbative, spectral function of the scalar field in the $\phi^4$-theory in $2+1$ dimensions from spectral Dyson-Schwinger equations. We also compute the $s$-channel spectral function of the full $\phi^4$-vertex in this theory. |
hep-th/0303182 | Kamal Lochan Panigrahi | Kamal L. Panigrahi and Sanjay | D-branes in pp-wave spacetime with nonconstant NS-NS flux | 8 pages, minor corrections, references added | Phys.Lett. B561 (2003) 284-288 | 10.1016/S0370-2693(03)00493-3 | IP/BBSR/2003-09 | hep-th | null | We find classical solutions of D-branes in pp-wave spacetime with nonconstant
NS-NS flux. We also present Dp-Dp' bound state solutions in this background. We
further analyze the supersymmetric properties of these brane solutions by
solving the type IIB killing spinor equations explicitly.
| [
{
"created": "Thu, 20 Mar 2003 17:59:09 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Mar 2003 16:46:25 GMT",
"version": "v2"
}
] | 2010-04-05 | [
[
"Panigrahi",
"Kamal L.",
""
],
[
"Sanjay",
"",
""
]
] | We find classical solutions of D-branes in pp-wave spacetime with nonconstant NS-NS flux. We also present Dp-Dp' bound state solutions in this background. We further analyze the supersymmetric properties of these brane solutions by solving the type IIB killing spinor equations explicitly. |
hep-th/9307137 | null | A.L. Larsen | Scattering of string-waves on black hole background | 18 pages + 2 figures, Latex, Nordita-93/52 P | Nucl.Phys. B412 (1994) 372-390 | 10.1016/0550-3213(94)90507-X | null | hep-th | null | We consider the propagation of perturbations along an infinitely long
stationary open string in the background of a Schwarzschild black hole. The
equations of motion for the perturbations in the 2 transverse physical
directions are solved to second order in a weak field expansion. We then set up
a scattering formalism where an ingoing wave is partly transmitted and partly
reflected due to the interaction with the gravitational field of the black
hole. We finally calculate the reflection coefficient to third order in our
weak field expansion.
| [
{
"created": "Thu, 22 Jul 1993 09:55:05 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Larsen",
"A. L.",
""
]
] | We consider the propagation of perturbations along an infinitely long stationary open string in the background of a Schwarzschild black hole. The equations of motion for the perturbations in the 2 transverse physical directions are solved to second order in a weak field expansion. We then set up a scattering formalism where an ingoing wave is partly transmitted and partly reflected due to the interaction with the gravitational field of the black hole. We finally calculate the reflection coefficient to third order in our weak field expansion. |
2012.05144 | Chris Ripken | Benjamin Knorr and Chris Ripken | Scattering amplitudes in affine gravity | null | Phys. Rev. D 103, 105019 (2021) | 10.1103/PhysRevD.103.105019 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Affine gravity is a connection-based formulation of gravity that does not
involve a metric. After a review of basic properties of affine gravity, we
compute the tree-level scattering amplitude of scalar particles interacting
gravitationally via the connection in a curved spacetime. We find that, while
classically equivalent to general relativity, affine gravity differs from
metric quantum gravity.
| [
{
"created": "Wed, 9 Dec 2020 16:29:58 GMT",
"version": "v1"
}
] | 2021-05-26 | [
[
"Knorr",
"Benjamin",
""
],
[
"Ripken",
"Chris",
""
]
] | Affine gravity is a connection-based formulation of gravity that does not involve a metric. After a review of basic properties of affine gravity, we compute the tree-level scattering amplitude of scalar particles interacting gravitationally via the connection in a curved spacetime. We find that, while classically equivalent to general relativity, affine gravity differs from metric quantum gravity. |
2401.00549 | Tomas Ort\'in | Jose Juan Fernandez-Melgarejo, Giacomo Giorgi, Carmen Gomez-Fayren,
Tomas Ortin and Matteo Zatti | Democratic actions with scalar fields: symmetric sigma models,
supergravity actions and the effective theory of the type IIB superstring | References added | null | null | IFT-UAM/CSIC-23-127 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The dualization of the scalar fields of a theory into (d-2)-form potentials
preserving all the global symmetries is one of the main problems in the
construction of democratic pseudoactions containing simultaneously all the
original fields and their duals. We study this problem starting with the
simplest cases and we show how it can be solved for scalars parametrizing
Riemannian symmetric sigma-models as in maximal and half-maximal
supergravities. Then, we use this result to write democratic pseudoactions for
theories in which the scalars are non-minimally coupled to (p+1)-form
potentials in any dimension. These results include a proposal of democratic
pseudoaction for the generic bosonic sector of 4-dimensional maximal and
half-maximal ungauged supergravities. Furthermore, we propose a democratic
pseudoaction for the bosonic sector of N=2B,d=10 supergravity (the effective
action of the type IIB superstring theory) containing two 0-, two 2-, one 4-,
two 6- and three 8-forms which is manifestly invariant under global SL(2,R)
transformations.
| [
{
"created": "Sun, 31 Dec 2023 17:36:39 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Mar 2024 10:19:12 GMT",
"version": "v2"
}
] | 2024-03-15 | [
[
"Fernandez-Melgarejo",
"Jose Juan",
""
],
[
"Giorgi",
"Giacomo",
""
],
[
"Gomez-Fayren",
"Carmen",
""
],
[
"Ortin",
"Tomas",
""
],
[
"Zatti",
"Matteo",
""
]
] | The dualization of the scalar fields of a theory into (d-2)-form potentials preserving all the global symmetries is one of the main problems in the construction of democratic pseudoactions containing simultaneously all the original fields and their duals. We study this problem starting with the simplest cases and we show how it can be solved for scalars parametrizing Riemannian symmetric sigma-models as in maximal and half-maximal supergravities. Then, we use this result to write democratic pseudoactions for theories in which the scalars are non-minimally coupled to (p+1)-form potentials in any dimension. These results include a proposal of democratic pseudoaction for the generic bosonic sector of 4-dimensional maximal and half-maximal ungauged supergravities. Furthermore, we propose a democratic pseudoaction for the bosonic sector of N=2B,d=10 supergravity (the effective action of the type IIB superstring theory) containing two 0-, two 2-, one 4-, two 6- and three 8-forms which is manifestly invariant under global SL(2,R) transformations. |
1608.07576 | Thomas Bachlechner | Thomas C. Bachlechner | Inflation Expels Runaways | 56 pages, 17 figures; v2: fixed typos | JHEP 1612 (2016) 155 | 10.1007/JHEP12(2016)155 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We argue that moduli stabilization generically restricts the evolution
following transitions between weakly coupled de Sitter vacua and can induce a
strong selection bias towards inflationary cosmologies. The energy density of
domain walls between vacua typically destabilizes Kahler moduli and triggers a
runaway towards large volume. This decompactification phase can collapse the
new de Sitter region unless a minimum amount of inflation occurs after the
transition. A stable vacuum transition is guaranteed only if the inflationary
expansion generates overlapping past light cones for all observable modes
originating from the reheating surface, which leads to an approximately flat
and isotropic universe. High scale inflation is vastly favored. Our results
point towards a framework for studying parameter fine-tuning and inflationary
initial conditions in flux compactifications.
| [
{
"created": "Fri, 26 Aug 2016 20:00:00 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Jan 2017 04:05:29 GMT",
"version": "v2"
}
] | 2017-01-09 | [
[
"Bachlechner",
"Thomas C.",
""
]
] | We argue that moduli stabilization generically restricts the evolution following transitions between weakly coupled de Sitter vacua and can induce a strong selection bias towards inflationary cosmologies. The energy density of domain walls between vacua typically destabilizes Kahler moduli and triggers a runaway towards large volume. This decompactification phase can collapse the new de Sitter region unless a minimum amount of inflation occurs after the transition. A stable vacuum transition is guaranteed only if the inflationary expansion generates overlapping past light cones for all observable modes originating from the reheating surface, which leads to an approximately flat and isotropic universe. High scale inflation is vastly favored. Our results point towards a framework for studying parameter fine-tuning and inflationary initial conditions in flux compactifications. |
1211.2808 | Antonio Amariti | Prarit Agarwal, Antonio Amariti, Alberto Mariotti and Massimo Siani | BPS states and their reductions | 25 pages, 1 figure, typos fixed | null | 10.1007/JHEP08(2013)011 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop a method to identify the BPS states in the Hilbert space of a
supersymmetric field theory on a generic curved space which preserves at least
two real supercharges. We also propose a one-to-one map between BPS states in
d-dimensional field theories and states that contribute to the supersymmetric
partition function of a corresponding (d-1)-dimensional field theory. As an
application we obtain the superconformal index on rounded and squashed three
spheres, and we show a natural reduction of the respective indices to the
three-dimensional exact partition functions. We discuss the validity of the
correspondence both at the perturbative and at the non-perturbative level and
exploit the idea to uplift the computation of the exact supersymmetric
partition function on a general manifold to a higher dimensional index.
| [
{
"created": "Mon, 12 Nov 2012 21:00:02 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Nov 2012 10:48:48 GMT",
"version": "v2"
}
] | 2015-06-12 | [
[
"Agarwal",
"Prarit",
""
],
[
"Amariti",
"Antonio",
""
],
[
"Mariotti",
"Alberto",
""
],
[
"Siani",
"Massimo",
""
]
] | We develop a method to identify the BPS states in the Hilbert space of a supersymmetric field theory on a generic curved space which preserves at least two real supercharges. We also propose a one-to-one map between BPS states in d-dimensional field theories and states that contribute to the supersymmetric partition function of a corresponding (d-1)-dimensional field theory. As an application we obtain the superconformal index on rounded and squashed three spheres, and we show a natural reduction of the respective indices to the three-dimensional exact partition functions. We discuss the validity of the correspondence both at the perturbative and at the non-perturbative level and exploit the idea to uplift the computation of the exact supersymmetric partition function on a general manifold to a higher dimensional index. |
0804.2999 | Subir Ghosh | Subir Ghosh (Indian Statistical Institute) | Combining The Tunneling And Anomaly Phenomena In Deriving the
Gravitational Anomaly | Title and abstract changed, paper thoroughly rewritten, no change in
basic idea and framework, to appear in Mod.Phys.Lett.A | null | 10.1142/S021773230903103X | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this Letter we have derived the gravitational anomaly leading to the
Hawking radiation from a fundamentally different perspective: it emerges due to
the {\it{complimentary}} roles played by tunneling and (gravitational) anomaly.
We have used the analogy of an early idea \cite{niel1} of visualizing chiral
gauge anomaly as an effect of {\it{spectral flow}} of the energy levels, from
the negative energy Dirac sea, across zero energy level in presence of gauge
interactions. This was extended to conformal anomaly in \cite{fumita}. In the
present work, we exploit the latter formalism in black hole physics where we
interpret crossing the horizon of black hole (the zero energy level) as a
spectral flow since it is also accompanied by a change of sign in the energy of
the particle. Hence in our formulation the negative energy states below horizon
play a similar role as the Dirac sea. We successfully recover the gravitational
anomaly.
| [
{
"created": "Fri, 18 Apr 2008 11:28:11 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Aug 2008 10:20:24 GMT",
"version": "v2"
},
{
"created": "Wed, 29 Apr 2009 05:18:42 GMT",
"version": "v3"
}
] | 2015-05-13 | [
[
"Ghosh",
"Subir",
"",
"Indian Statistical Institute"
]
] | In this Letter we have derived the gravitational anomaly leading to the Hawking radiation from a fundamentally different perspective: it emerges due to the {\it{complimentary}} roles played by tunneling and (gravitational) anomaly. We have used the analogy of an early idea \cite{niel1} of visualizing chiral gauge anomaly as an effect of {\it{spectral flow}} of the energy levels, from the negative energy Dirac sea, across zero energy level in presence of gauge interactions. This was extended to conformal anomaly in \cite{fumita}. In the present work, we exploit the latter formalism in black hole physics where we interpret crossing the horizon of black hole (the zero energy level) as a spectral flow since it is also accompanied by a change of sign in the energy of the particle. Hence in our formulation the negative energy states below horizon play a similar role as the Dirac sea. We successfully recover the gravitational anomaly. |
2304.13295 | Zhehan Qin | Zhehan Qin, Zhong-Zhi Xianyu | Inflation Correlators at the One-Loop Order: Nonanalyticity,
Factorization, Cutting Rule, and OPE | 60 pages. v2: Minor corrections | null | null | null | hep-th astro-ph.CO hep-ph | http://creativecommons.org/licenses/by/4.0/ | Inflation correlators with one-loop massive exchange encode rich information
about the dynamics of the massive loop particles. Their nonanalytic behavior in
certain soft limits leads to characteristic oscillatory pattern, which is the
leading signal of many particle models of cosmological collider physics. In
this work, we investigate systematically such nonanalyticity for arbitrary
one-particle-irreducible (1PI) one-loop correlators in various soft limits.
With the partial Mellin-Barnes representation, we present and prove a
factorization theorem and a cutting rule for arbitrary 1PI one-loop inflation
correlators, which is reminiscent of the on-shell cutting rule for flat-space
scattering amplitudes. We also show how to understand this factorization
theorem from the viewpoint of operator product expansion on the future
boundary. As an application of the one-loop factorization theorem, we derive
new analytic and exact formulae for nonlocal cosmological collider signals for
massive one-loop four-point inflation correlators of all possible 1PI
topologies, including the bubble, the triangle, and the box graphs. Finally, we
show how to push the computation of nonlocal signals to higher orders in the
momentum ratio.
| [
{
"created": "Wed, 26 Apr 2023 05:24:00 GMT",
"version": "v1"
},
{
"created": "Tue, 2 May 2023 15:51:26 GMT",
"version": "v2"
}
] | 2023-05-03 | [
[
"Qin",
"Zhehan",
""
],
[
"Xianyu",
"Zhong-Zhi",
""
]
] | Inflation correlators with one-loop massive exchange encode rich information about the dynamics of the massive loop particles. Their nonanalytic behavior in certain soft limits leads to characteristic oscillatory pattern, which is the leading signal of many particle models of cosmological collider physics. In this work, we investigate systematically such nonanalyticity for arbitrary one-particle-irreducible (1PI) one-loop correlators in various soft limits. With the partial Mellin-Barnes representation, we present and prove a factorization theorem and a cutting rule for arbitrary 1PI one-loop inflation correlators, which is reminiscent of the on-shell cutting rule for flat-space scattering amplitudes. We also show how to understand this factorization theorem from the viewpoint of operator product expansion on the future boundary. As an application of the one-loop factorization theorem, we derive new analytic and exact formulae for nonlocal cosmological collider signals for massive one-loop four-point inflation correlators of all possible 1PI topologies, including the bubble, the triangle, and the box graphs. Finally, we show how to push the computation of nonlocal signals to higher orders in the momentum ratio. |
hep-th/9608122 | null | Werner Krauth (LPSENS) and Matthias Staudacher (CERN) | Non-Integrability of Two-Dimensional QCD | 9 pages, 6 encapsulated Postscript figures, uses epsfig | Phys.Lett. B388 (1996) 808-812 | 10.1016/S0370-2693(96)01208-7 | CERN-TH/96-219 | hep-th | null | In this paper we numerically demonstrate that massless two-dimensional QCD is
not integrable. To this aim, we explicitly solve the 't Hooft integral equation
for bound states by an adaptive spline procedure, and compute the decay
amplitudes. These amplitudes significantly differ from zero except in all cases
in which the decay also produces a pion.
| [
{
"created": "Mon, 19 Aug 1996 14:26:13 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Krauth",
"Werner",
"",
"LPSENS"
],
[
"Staudacher",
"Matthias",
"",
"CERN"
]
] | In this paper we numerically demonstrate that massless two-dimensional QCD is not integrable. To this aim, we explicitly solve the 't Hooft integral equation for bound states by an adaptive spline procedure, and compute the decay amplitudes. These amplitudes significantly differ from zero except in all cases in which the decay also produces a pion. |
0704.1725 | Pulak Ranjan Giri | Pulak Ranjan Giri | Scaling anomaly in cosmic string background | 4 pages,1 figure | Eur.Phys.J.C56:147-151,2008 | 10.1140/epjc/s10052-008-0635-1 | SINP/TNP/2007/05 | hep-th gr-qc | null | We show that the classical scale symmetry of a particle moving in cosmic
string background is broken upon inequivalent quantization of the classical
system, leading to anomaly. The consequence of this anomaly is the formation of
single bound state in the coupling interval \gamma\in(-1,1). The inequivalent
quantization is characterized by a 1-parameter family of self-adjoint extension
parameter \omega. It has been conjectured that the formation of loosely bound
state in cosmic string background may lead to the so called anomalous
scattering cross section for the particles, which is usually seen in molecular
physics.
| [
{
"created": "Fri, 13 Apr 2007 09:38:06 GMT",
"version": "v1"
},
{
"created": "Sat, 14 Apr 2007 08:33:04 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Giri",
"Pulak Ranjan",
""
]
] | We show that the classical scale symmetry of a particle moving in cosmic string background is broken upon inequivalent quantization of the classical system, leading to anomaly. The consequence of this anomaly is the formation of single bound state in the coupling interval \gamma\in(-1,1). The inequivalent quantization is characterized by a 1-parameter family of self-adjoint extension parameter \omega. It has been conjectured that the formation of loosely bound state in cosmic string background may lead to the so called anomalous scattering cross section for the particles, which is usually seen in molecular physics. |
1905.00804 | Matteo Baggioli | Matteo Baggioli, Ulf Gran, Amadeo Jimenez Alba, Marcus Torns\"o,
Tobias Zingg | Holographic Plasmon Relaxation with and without Broken Translations | v2: improved discussions, added results in the SSB section,
references added; matching the published version in JHEP | null | 10.1007/JHEP09(2019)013 | IFT-UAM/CSIC-19-54 | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the dynamics and the relaxation of bulk plasmons in strongly coupled
and quantum critical systems using the holographic framework. We analyze the
dispersion relation of the plasmonic modes in detail for an illustrative class
of holographic bottom-up models. Comparing to a simple hydrodynamic formula, we
entangle the complicated interplay between the three least damped modes and
shed light on the underlying physical processes. Such as the dependence of the
plasma frequency and the effective relaxation time in terms of the
electromagnetic coupling, the charge and the temperature of the system.
Introducing momentum dissipation, we then identify its additional contribution
to the damping. Finally, we consider the spontaneous symmetry breaking (SSB) of
translational invariance. Upon dialing the strength of the SSB, we observe an
increase of the longitudinal sound speed controlled by the elastic moduli and a
decrease in the plasma frequency of the gapped plasmon. We comment on the
condensed matter interpretation of this mechanism.
| [
{
"created": "Thu, 2 May 2019 15:25:46 GMT",
"version": "v1"
},
{
"created": "Sun, 18 Aug 2019 13:49:16 GMT",
"version": "v2"
}
] | 2019-10-02 | [
[
"Baggioli",
"Matteo",
""
],
[
"Gran",
"Ulf",
""
],
[
"Alba",
"Amadeo Jimenez",
""
],
[
"Tornsö",
"Marcus",
""
],
[
"Zingg",
"Tobias",
""
]
] | We study the dynamics and the relaxation of bulk plasmons in strongly coupled and quantum critical systems using the holographic framework. We analyze the dispersion relation of the plasmonic modes in detail for an illustrative class of holographic bottom-up models. Comparing to a simple hydrodynamic formula, we entangle the complicated interplay between the three least damped modes and shed light on the underlying physical processes. Such as the dependence of the plasma frequency and the effective relaxation time in terms of the electromagnetic coupling, the charge and the temperature of the system. Introducing momentum dissipation, we then identify its additional contribution to the damping. Finally, we consider the spontaneous symmetry breaking (SSB) of translational invariance. Upon dialing the strength of the SSB, we observe an increase of the longitudinal sound speed controlled by the elastic moduli and a decrease in the plasma frequency of the gapped plasmon. We comment on the condensed matter interpretation of this mechanism. |
2207.00363 | Johannes Lahnsteiner | Eric Bergshoeff, Kevin van Helden, Johannes Lahnsteiner, Luca Romano,
Jan Rosseel | Generalized Newton-Cartan Geometries for Particles and Strings | 26 pages, comments are welcome | null | 10.1088/1361-6382/acbe8c | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We discuss the generalized Newton-Cartan geometries that can serve as
gravitational background fields for particles and strings. In order to enable
us to define affine connections that are invariant under all the symmetries of
the structure group, we describe torsionful geometries with independent torsion
tensors. A characteristic feature of the non-Lorentzian geometries we consider
is that some of the torsion tensors are so-called `intrinsic torsion' tensors
that cannot be absorbed in any of the spin connections. Setting some components
of these intrinsic torsion tensors to zero leads to constraints on the
geometry. For both particles and strings, we discuss various such constraints
that can be imposed consistently with the structure group symmetries. In this
way, we reproduce several results in the literature.
| [
{
"created": "Fri, 1 Jul 2022 11:56:45 GMT",
"version": "v1"
}
] | 2023-03-22 | [
[
"Bergshoeff",
"Eric",
""
],
[
"van Helden",
"Kevin",
""
],
[
"Lahnsteiner",
"Johannes",
""
],
[
"Romano",
"Luca",
""
],
[
"Rosseel",
"Jan",
""
]
] | We discuss the generalized Newton-Cartan geometries that can serve as gravitational background fields for particles and strings. In order to enable us to define affine connections that are invariant under all the symmetries of the structure group, we describe torsionful geometries with independent torsion tensors. A characteristic feature of the non-Lorentzian geometries we consider is that some of the torsion tensors are so-called `intrinsic torsion' tensors that cannot be absorbed in any of the spin connections. Setting some components of these intrinsic torsion tensors to zero leads to constraints on the geometry. For both particles and strings, we discuss various such constraints that can be imposed consistently with the structure group symmetries. In this way, we reproduce several results in the literature. |
1905.07748 | Shinya Tomizawa | Shinya Tomizawa | Multi-charged black lens | 14 pages | Phys. Rev. D 100, 024056 (2019) | 10.1103/PhysRevD.100.024056 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct an asymptotically flat, stationary and biaxisymmetric
supersymmetric black lens solution in five-dimensional U(1)^3 supergravity. It
is shown that the spatial cross section of the horizon is topologically the
lens space of L(n,1), and the spacetime is regular on/outside the event
horizon. The black lens carries (3n+2) physical quantities, three electric
charges, two angular momenta and 3(n-1) magnetic fluxes.
| [
{
"created": "Sun, 19 May 2019 14:37:46 GMT",
"version": "v1"
}
] | 2019-07-31 | [
[
"Tomizawa",
"Shinya",
""
]
] | We construct an asymptotically flat, stationary and biaxisymmetric supersymmetric black lens solution in five-dimensional U(1)^3 supergravity. It is shown that the spatial cross section of the horizon is topologically the lens space of L(n,1), and the spacetime is regular on/outside the event horizon. The black lens carries (3n+2) physical quantities, three electric charges, two angular momenta and 3(n-1) magnetic fluxes. |
2001.07226 | Theodoros Nakas | Theodoros Nakas, Panagiota Kanti, Nikolaos Pappas | Incorporating Physical Constraints in Braneworld Black-String Solutions
for a Minkowski Brane in Scalar-Tensor Gravity | 44 pages, 18 figures, typos corrected, detailed references, published
in Physical Review D | Phys. Rev. D 101, 084056 (2020) | 10.1103/PhysRevD.101.084056 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the framework of a general scalar-tensor theory, where the scalar field is
non-minimally coupled to the five-dimensional Ricci scalar curvature, we
investigate the emergence of complete brane-world solutions. By assuming a
variety of forms for the coupling function, we solve the field equations in the
bulk, and determine in an analytic way the form of the gravitational background
and scalar field in each case. The solutions are always characterized by a
regular scalar field, a finite energy-momentum tensor, and an exponentially
decaying warp factor even in the absence of a negative bulk cosmological
constant. The space-time on the brane is described by the Schwarzschild
solution leading to either a non-homogeneous black-string solution in the bulk,
when the mass parameter $M$ is non-zero, or a regular anti-de Sitter
space-time, when $M=0$. We construct physically-acceptable solutions by
demanding in addition a positive effective gravitational constant on our brane,
a positive total energy-density for our brane and the validity of the weak
energy condition in the bulk. We find that, although the theory does not allow
for all three conditions to be simultaneously satisfied, a plethora of
solutions emerge which satisfy the first two, and most fundamental, conditions.
| [
{
"created": "Mon, 20 Jan 2020 19:19:55 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Apr 2020 12:23:58 GMT",
"version": "v2"
}
] | 2020-05-06 | [
[
"Nakas",
"Theodoros",
""
],
[
"Kanti",
"Panagiota",
""
],
[
"Pappas",
"Nikolaos",
""
]
] | In the framework of a general scalar-tensor theory, where the scalar field is non-minimally coupled to the five-dimensional Ricci scalar curvature, we investigate the emergence of complete brane-world solutions. By assuming a variety of forms for the coupling function, we solve the field equations in the bulk, and determine in an analytic way the form of the gravitational background and scalar field in each case. The solutions are always characterized by a regular scalar field, a finite energy-momentum tensor, and an exponentially decaying warp factor even in the absence of a negative bulk cosmological constant. The space-time on the brane is described by the Schwarzschild solution leading to either a non-homogeneous black-string solution in the bulk, when the mass parameter $M$ is non-zero, or a regular anti-de Sitter space-time, when $M=0$. We construct physically-acceptable solutions by demanding in addition a positive effective gravitational constant on our brane, a positive total energy-density for our brane and the validity of the weak energy condition in the bulk. We find that, although the theory does not allow for all three conditions to be simultaneously satisfied, a plethora of solutions emerge which satisfy the first two, and most fundamental, conditions. |
2311.17888 | Lorenzo Di Pietro | Davide Bason, Lorenzo Di Pietro, Roberto Valandro, Jesse van Muiden | BCFT One-point Functions of Coulomb Branch Operators | 64 pages, 7 figures; v2: several improvements, references added,
typos corrected | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that supersymmetry can be used to compute the BCFT one-point function
coefficients for chiral primary operators, in 4d $\mathcal{N}=2$ SCFTs with
$\frac{1}{2}$-BPS boundary conditions. The main ingredient is the hemisphere
partition function, with the boundary condition on the equatorial $S^3$. A
supersymmetric Ward identity relates derivatives with respect to the chiral
coupling constants to the insertion of the primaries at the pole of the
hemisphere. Exact results for the one-point functions can be then obtained in
terms of the localization matrix model. We discuss in detail the example of the
super Maxwell theory in the bulk, interacting with 3d $\mathcal{N}=2$ SCFTs on
the boundary. In particular we derive the action of the SL(2,$\mathbb{Z}$)
duality on the one-point functions.
| [
{
"created": "Wed, 29 Nov 2023 18:39:20 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Jan 2024 11:02:06 GMT",
"version": "v2"
}
] | 2024-01-10 | [
[
"Bason",
"Davide",
""
],
[
"Di Pietro",
"Lorenzo",
""
],
[
"Valandro",
"Roberto",
""
],
[
"van Muiden",
"Jesse",
""
]
] | We show that supersymmetry can be used to compute the BCFT one-point function coefficients for chiral primary operators, in 4d $\mathcal{N}=2$ SCFTs with $\frac{1}{2}$-BPS boundary conditions. The main ingredient is the hemisphere partition function, with the boundary condition on the equatorial $S^3$. A supersymmetric Ward identity relates derivatives with respect to the chiral coupling constants to the insertion of the primaries at the pole of the hemisphere. Exact results for the one-point functions can be then obtained in terms of the localization matrix model. We discuss in detail the example of the super Maxwell theory in the bulk, interacting with 3d $\mathcal{N}=2$ SCFTs on the boundary. In particular we derive the action of the SL(2,$\mathbb{Z}$) duality on the one-point functions. |
1909.01975 | Veronica Pasquarella | Senarath P. de Alwis, Francesco Muia, Veronica Pasquarella and
Fernando Quevedo | Quantum Transitions Between Minkowski and de Sitter Spacetimes | null | null | 10.1002/prop.202000069 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Quantum transitions among de Sitter and Minkowski spacetimes through bubble
nucleation are revisited using the Hamiltonian formalism. We interpret
tunnelling probabilities as relative probabilities: the ratio of the squared
wave functionals
$\mathcal{P}=\frac{|\Psi_{\mathcal{N}}|^2}{|\Psi_{\mathcal{B}}|^2}$, with
$\Psi_{\mathcal{B,N}}$ solutions of the Wheeler-DeWitt equation corresponding
to the spacetimes $\mathcal{N}$ and $\mathcal{B}$, gives the probability of
nucleating the state $\mathcal{N}$ relative to the probability of having the
state $\mathcal{B}$. We find that the transition amplitude from de Sitter to de
Sitter for both up- and down-tunnelling agrees with the original result based
on Euclidean instanton methods. Expanding on the work of Fischler, Morgan and
Polchinski we find that the Minkowski to de Sitter transition is possible as in
the original Euclidean approach of Farhi, Guth and Guven. We further generalise
existing calculations by computing the wave function away from the turning
points for the classical motion of the wall in de Sitter to de Sitter
transitions. We address several challenges for the viability of the Minkowski
to de Sitter transition, including consistency with detailed balance and
AdS/CFT. This sets this transition on firmer grounds but opens further
questions. Our arguments also validate the Coleman-De Luccia formulae in the
presence of gravity since it has no issues involving negative eigenmodes and
other ambiguities of the Euclidean approach. We briefly discuss the
implications of our results for early universe cosmology and the string
landscape.
| [
{
"created": "Wed, 4 Sep 2019 17:59:59 GMT",
"version": "v1"
}
] | 2020-10-28 | [
[
"de Alwis",
"Senarath P.",
""
],
[
"Muia",
"Francesco",
""
],
[
"Pasquarella",
"Veronica",
""
],
[
"Quevedo",
"Fernando",
""
]
] | Quantum transitions among de Sitter and Minkowski spacetimes through bubble nucleation are revisited using the Hamiltonian formalism. We interpret tunnelling probabilities as relative probabilities: the ratio of the squared wave functionals $\mathcal{P}=\frac{|\Psi_{\mathcal{N}}|^2}{|\Psi_{\mathcal{B}}|^2}$, with $\Psi_{\mathcal{B,N}}$ solutions of the Wheeler-DeWitt equation corresponding to the spacetimes $\mathcal{N}$ and $\mathcal{B}$, gives the probability of nucleating the state $\mathcal{N}$ relative to the probability of having the state $\mathcal{B}$. We find that the transition amplitude from de Sitter to de Sitter for both up- and down-tunnelling agrees with the original result based on Euclidean instanton methods. Expanding on the work of Fischler, Morgan and Polchinski we find that the Minkowski to de Sitter transition is possible as in the original Euclidean approach of Farhi, Guth and Guven. We further generalise existing calculations by computing the wave function away from the turning points for the classical motion of the wall in de Sitter to de Sitter transitions. We address several challenges for the viability of the Minkowski to de Sitter transition, including consistency with detailed balance and AdS/CFT. This sets this transition on firmer grounds but opens further questions. Our arguments also validate the Coleman-De Luccia formulae in the presence of gravity since it has no issues involving negative eigenmodes and other ambiguities of the Euclidean approach. We briefly discuss the implications of our results for early universe cosmology and the string landscape. |
2404.05789 | Christoph Adam | Christoph Adam, Alberto Garcia Martin-Caro, Carlos Naya, Andrzej
Wereszczynski | Integral identities and universal relations for solitons | 29 pages, LaTex, v3: improvements in the discussion of the BPS case
and the conclusions | null | null | null | hep-th gr-qc math-ph math.MP nucl-th | http://creativecommons.org/licenses/by/4.0/ | We show that any nonlinear field theory giving rise to static solutions with
finite energy like, e.g., topological solitons, allows us to derive a
continuous infinity of integral identities which any such solution has to obey.
These integral identities can always be understood as being generated by field
transformations and their related Noether currents. We also explain why all
integral identities generated by coordinate transformations become trivial for
Bogomolnyi-Prasad-Sommerfield (BPS) solitons, i.e., topological solitons which
saturate a topological energy bound. Finally, we consider applications of these
identities to a broad class of nonlinear scalar theories, including the Skyrme
model. More concretely, we find nontrivial integral identities that can be seen
as model-independent relations between certain physical properties of the
solitons in such theories, and we comment on the possible connection between
these new relations and those already found in the context of astrophysical
compact objects. We also demonstrate the usefulness of said identities to
estimate the precision of the numerical calculation of soliton observables.
| [
{
"created": "Mon, 8 Apr 2024 18:00:03 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Apr 2024 17:45:00 GMT",
"version": "v2"
},
{
"created": "Wed, 14 Aug 2024 07:58:10 GMT",
"version": "v3"
}
] | 2024-08-15 | [
[
"Adam",
"Christoph",
""
],
[
"Martin-Caro",
"Alberto Garcia",
""
],
[
"Naya",
"Carlos",
""
],
[
"Wereszczynski",
"Andrzej",
""
]
] | We show that any nonlinear field theory giving rise to static solutions with finite energy like, e.g., topological solitons, allows us to derive a continuous infinity of integral identities which any such solution has to obey. These integral identities can always be understood as being generated by field transformations and their related Noether currents. We also explain why all integral identities generated by coordinate transformations become trivial for Bogomolnyi-Prasad-Sommerfield (BPS) solitons, i.e., topological solitons which saturate a topological energy bound. Finally, we consider applications of these identities to a broad class of nonlinear scalar theories, including the Skyrme model. More concretely, we find nontrivial integral identities that can be seen as model-independent relations between certain physical properties of the solitons in such theories, and we comment on the possible connection between these new relations and those already found in the context of astrophysical compact objects. We also demonstrate the usefulness of said identities to estimate the precision of the numerical calculation of soliton observables. |
hep-th/0507008 | Nejat Yilmaz | Nejat T. Yilmaz | Dualisation of the D=7 Heterotic String | 20 pages | JHEP 0409:003,2004 | 10.1088/1126-6708/2004/09/003 | null | hep-th | null | The dualisation and the first-order formulation of the D=7 abelian Yang-Mills
supergravity which is the low energy effective limit of the D=7 fully Higssed
heterotic string is discussed. The non-linear coset formulation of the scalars
is enlarged to include the entire bosonic sector by introducing dual fields and
by constructing the Lie superalgebra which generates the dualized coset
element.
| [
{
"created": "Fri, 1 Jul 2005 10:52:02 GMT",
"version": "v1"
}
] | 2010-01-18 | [
[
"Yilmaz",
"Nejat T.",
""
]
] | The dualisation and the first-order formulation of the D=7 abelian Yang-Mills supergravity which is the low energy effective limit of the D=7 fully Higssed heterotic string is discussed. The non-linear coset formulation of the scalars is enlarged to include the entire bosonic sector by introducing dual fields and by constructing the Lie superalgebra which generates the dualized coset element. |
0712.2775 | Johannes Walcher | Johannes Walcher | Evidence for Tadpole Cancellation in the Topological String | 57 pages, 9 figures, v2: minor clarifications | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the topological string on compact Calabi-Yau threefolds in the
presence of orientifolds and D-branes. In examples, we find that the total
topological string amplitude admits a BPS expansion only if the topological
charge of the D-brane is equal to that of the orientifold plane. We interpret
this as a manifestation of a general tadpole cancellation condition in the
topological string that is necessary for decoupling of A- and B-model in loop
amplitudes. Our calculations in the A-model involve an adapted version of
existing localization techniques, and give predictions for the real enumerative
geometry of higher genus curves in Calabi-Yau manifolds. In the B-model, we
introduce an extension of the holomorphic anomaly equation to unoriented
strings.
| [
{
"created": "Mon, 17 Dec 2007 20:00:42 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Feb 2009 14:36:02 GMT",
"version": "v2"
}
] | 2009-02-04 | [
[
"Walcher",
"Johannes",
""
]
] | We study the topological string on compact Calabi-Yau threefolds in the presence of orientifolds and D-branes. In examples, we find that the total topological string amplitude admits a BPS expansion only if the topological charge of the D-brane is equal to that of the orientifold plane. We interpret this as a manifestation of a general tadpole cancellation condition in the topological string that is necessary for decoupling of A- and B-model in loop amplitudes. Our calculations in the A-model involve an adapted version of existing localization techniques, and give predictions for the real enumerative geometry of higher genus curves in Calabi-Yau manifolds. In the B-model, we introduce an extension of the holomorphic anomaly equation to unoriented strings. |
1506.06195 | H. Casini | Horacio Casini, Marina Huerta, Robert C. Myers and Alexandre Yale | Mutual information and the F-theorem | 80 pages, 16 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Mutual information is used as a purely geometrical regularization of
entanglement entropy applicable to any QFT. A coefficient in the mutual
information between concentric circular entangling surfaces gives a precise
universal prescription for the monotonous quantity in the c-theorem for d=3.
This is in principle computable using any regularization for the entropy, and
in particular is a definition suitable for lattice models. We rederive the
proof of the c-theorem for d=3 in terms of mutual information, and check our
arguments with holographic entanglement entropy, a free scalar field, and an
extensive mutual information model.
| [
{
"created": "Sat, 20 Jun 2015 02:33:54 GMT",
"version": "v1"
}
] | 2015-06-23 | [
[
"Casini",
"Horacio",
""
],
[
"Huerta",
"Marina",
""
],
[
"Myers",
"Robert C.",
""
],
[
"Yale",
"Alexandre",
""
]
] | Mutual information is used as a purely geometrical regularization of entanglement entropy applicable to any QFT. A coefficient in the mutual information between concentric circular entangling surfaces gives a precise universal prescription for the monotonous quantity in the c-theorem for d=3. This is in principle computable using any regularization for the entropy, and in particular is a definition suitable for lattice models. We rederive the proof of the c-theorem for d=3 in terms of mutual information, and check our arguments with holographic entanglement entropy, a free scalar field, and an extensive mutual information model. |
1703.10673 | Ilya Perapechka | Ilya Perapechka, Yakov Shnir | Crystal structures in generalized Skyrme model | 18 pages, 9 figures | Phys. Rev. D 96, 045013 (2017) | 10.1103/PhysRevD.96.045013 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the properties of triply-periodic Skyrme crystals in the
generalized Skyrme model $\mathcal{L}_6 + \mathcal{L}_4 + \mathcal{L}_2+
\mathcal{L}_0$ with higher-derivative terms up to sixth order. Three different
symmetry breaking potential terms $\mathcal{L}_0$ are considered, the
generalized pion mass term, double vacuum potential and mixed potential.
Various scenario of phase transitions from the low density phase to the high
density phase are examined for different choices of the parameters of the
model. In particular, we investigated limiting behavior of the Skyrme crystals
in the truncated submodel without the Skyrme term $\mathcal{L}_4$ and/or
without the $\mathcal{L}_2$ term. We show that the Skyrme crystal may exist in
the pure $\mathcal{L}_4$ and $\mathcal{L}_6$ models and investigated the phase
structure of these solutions. Considering the near-BPS submodel, we found that
there are indications of the phase transition from a low density quasi-liquid
phase to the high density symmetric phase of the Skyrmionic matter.
| [
{
"created": "Thu, 30 Mar 2017 20:59:15 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Apr 2017 13:28:13 GMT",
"version": "v2"
}
] | 2017-08-23 | [
[
"Perapechka",
"Ilya",
""
],
[
"Shnir",
"Yakov",
""
]
] | We investigate the properties of triply-periodic Skyrme crystals in the generalized Skyrme model $\mathcal{L}_6 + \mathcal{L}_4 + \mathcal{L}_2+ \mathcal{L}_0$ with higher-derivative terms up to sixth order. Three different symmetry breaking potential terms $\mathcal{L}_0$ are considered, the generalized pion mass term, double vacuum potential and mixed potential. Various scenario of phase transitions from the low density phase to the high density phase are examined for different choices of the parameters of the model. In particular, we investigated limiting behavior of the Skyrme crystals in the truncated submodel without the Skyrme term $\mathcal{L}_4$ and/or without the $\mathcal{L}_2$ term. We show that the Skyrme crystal may exist in the pure $\mathcal{L}_4$ and $\mathcal{L}_6$ models and investigated the phase structure of these solutions. Considering the near-BPS submodel, we found that there are indications of the phase transition from a low density quasi-liquid phase to the high density symmetric phase of the Skyrmionic matter. |
2109.11716 | Emil J. Martinec | Emil J. Martinec | AdS3's with and without BTZ's | 42 pages, 13 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This companion paper to arXiv:2109.00065 explores the interpretation of
$AdS_3/CFT_2$ duality for $k=(R_{AdS}/\lstr)^2<1$ in terms of "non-critical
little string theory". We review the underlying fivebrane structure of 1/2-BPS
backgrounds for string theory in both the critical dimension and for
non-critical models. D-branes bound to the fivebranes in these backgrounds are
associated to nonabelian little strings, and flesh out a picture of the
correspondence transition at $k=1$ wherein the nonabelian little string
excitations lose their Hagedorn entropy, allowing the Hagedorn entropy of
fundamental strings to dominate the asymptotic density of states for $k<1$
instead of BTZ black holes. We then discuss the application of these models as
approximations to and probes of black hole dynamics and thermodynamics, as well
as associated information puzzles. In particular, because the correspondence
transition reveals the interior of an evaporating black hole, it serves as a
sensitive probe of any proposal regarding the composition of that interior.
| [
{
"created": "Fri, 24 Sep 2021 02:45:39 GMT",
"version": "v1"
}
] | 2021-09-27 | [
[
"Martinec",
"Emil J.",
""
]
] | This companion paper to arXiv:2109.00065 explores the interpretation of $AdS_3/CFT_2$ duality for $k=(R_{AdS}/\lstr)^2<1$ in terms of "non-critical little string theory". We review the underlying fivebrane structure of 1/2-BPS backgrounds for string theory in both the critical dimension and for non-critical models. D-branes bound to the fivebranes in these backgrounds are associated to nonabelian little strings, and flesh out a picture of the correspondence transition at $k=1$ wherein the nonabelian little string excitations lose their Hagedorn entropy, allowing the Hagedorn entropy of fundamental strings to dominate the asymptotic density of states for $k<1$ instead of BTZ black holes. We then discuss the application of these models as approximations to and probes of black hole dynamics and thermodynamics, as well as associated information puzzles. In particular, because the correspondence transition reveals the interior of an evaporating black hole, it serves as a sensitive probe of any proposal regarding the composition of that interior. |
hep-th/0703253 | Xian-Hui Ge | Xian-Hui Ge | First law of thermodynamics and Friedmann-like equations in braneworld
cosmology | 12 pages, no figures,Version 3; minor improvements | Phys.Lett.B651:49-53,2007 | 10.1016/j.physletb.2007.05.055 | null | hep-th astro-ph gr-qc hep-ph | null | We derive the Friedmann-like equations in braneworld cosmology by imposing
the first law of thermodynamics and Bekenstein's area-entropy formula on the
apparent horizon of a Friedmann-Roberston-Walker universe in both
Randall-Sundrum II gravity and Dvali-Gabadadze-Porrati gravity models. Israel's
boundary condition plays an important role in our calculations in both cases,
besides the first law of thermodynamics and Bekenstein's area-entropy formula.
The results indicate that thermodynamics on the brane world knows the behaviors
of gravity.
| [
{
"created": "Wed, 28 Mar 2007 07:30:18 GMT",
"version": "v1"
},
{
"created": "Sun, 1 Apr 2007 07:12:00 GMT",
"version": "v2"
},
{
"created": "Mon, 14 May 2007 13:00:54 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Ge",
"Xian-Hui",
""
]
] | We derive the Friedmann-like equations in braneworld cosmology by imposing the first law of thermodynamics and Bekenstein's area-entropy formula on the apparent horizon of a Friedmann-Roberston-Walker universe in both Randall-Sundrum II gravity and Dvali-Gabadadze-Porrati gravity models. Israel's boundary condition plays an important role in our calculations in both cases, besides the first law of thermodynamics and Bekenstein's area-entropy formula. The results indicate that thermodynamics on the brane world knows the behaviors of gravity. |
2303.16917 | Yuji Tachikawa | Philip Boyle Smith, Ying-Hsuan Lin, Yuji Tachikawa, Yunqin Zheng | Classification of chiral fermionic CFTs of central charge $\le 16$ | 29+13 pages; v2: published version, with many improvements in
presentation thanks to comments by the referees | SciPost Phys. 16, 058 (2024) | 10.21468/SciPostPhys.16.2.058 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We classify two-dimensional purely chiral conformal field theories which are
defined on two-dimensional surfaces equipped with spin structure and have
central charge less than or equal to 16, and discuss their duality webs. This
result can be used to confirm that the list of non-supersymmetric
ten-dimensional heterotic string theories found in the late 1980s is complete
and does not miss any exotic example.
| [
{
"created": "Wed, 29 Mar 2023 18:00:00 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Feb 2024 05:16:48 GMT",
"version": "v2"
}
] | 2024-03-06 | [
[
"Smith",
"Philip Boyle",
""
],
[
"Lin",
"Ying-Hsuan",
""
],
[
"Tachikawa",
"Yuji",
""
],
[
"Zheng",
"Yunqin",
""
]
] | We classify two-dimensional purely chiral conformal field theories which are defined on two-dimensional surfaces equipped with spin structure and have central charge less than or equal to 16, and discuss their duality webs. This result can be used to confirm that the list of non-supersymmetric ten-dimensional heterotic string theories found in the late 1980s is complete and does not miss any exotic example. |
1508.06338 | Kazuhiro Yamamoto | Naritaka Oshita, Kazuhiro Yamamoto, Sen Zhang | Quantum radiation from a particle in an accelerated motion coupled to
vacuum fluctuations | 14 pages, typos corrected | Phys. Rev. D 92, 045027 (2015) | 10.1103/PhysRevD.92.045027 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A particle in a uniformly accelerated motion exhibits Brownian random motions
around the classical trajectory due to the coupling to the field vacuum
fluctuations. Previous works show that the Brownian random motions satisfy the
energy equipartition relation. This thermal property is understood as the
consequence of the Unruh effect. In the present work, we investigate the
radiation from the thermal random motions of an accelerated particle coupled to
vacuum fluctuations. The energy flux of this radiation is negative of the order
smaller than the classical radiation by the factor a/m, where a is the
acceleration constant and m is the mass of a particle. The results could be
understood as a suppression of the classical radiation by the quantum effect.
| [
{
"created": "Wed, 26 Aug 2015 01:09:56 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Aug 2015 08:30:36 GMT",
"version": "v2"
}
] | 2015-08-28 | [
[
"Oshita",
"Naritaka",
""
],
[
"Yamamoto",
"Kazuhiro",
""
],
[
"Zhang",
"Sen",
""
]
] | A particle in a uniformly accelerated motion exhibits Brownian random motions around the classical trajectory due to the coupling to the field vacuum fluctuations. Previous works show that the Brownian random motions satisfy the energy equipartition relation. This thermal property is understood as the consequence of the Unruh effect. In the present work, we investigate the radiation from the thermal random motions of an accelerated particle coupled to vacuum fluctuations. The energy flux of this radiation is negative of the order smaller than the classical radiation by the factor a/m, where a is the acceleration constant and m is the mass of a particle. The results could be understood as a suppression of the classical radiation by the quantum effect. |
1502.00099 | Michael Duetsch | Michael Duetsch | Higgs mechanism and renormalization group flow: are they compatible? | 19 pages. Contribution to the proceedings of the conference 'Quantum
Mathematical Physics', Regensburg, 29.09.-02.10.2014. Version 2: a few minor
improvements | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Usually the Lagrangian of a model for massive vector bosons is derived in a
geometric way by the Higgs mechanism. We investigate whether this geometric
structure is maintained under the renormalization group (RG) flow. Using the
framework of Epstein-Glaser renormalization, we find that the answer is 'no',
if the renormalization mass scale(s) are chosen in a way corresponding to the
minimal subtraction scheme. This result is derived for the $U(1)$-Higgs model
to 1-loop order. On the other hand we give a model-independent proof that
physical consistency, which is a weak form of BRST-invariance of the
time-ordered products, is stable under the RG-flow.
| [
{
"created": "Sat, 31 Jan 2015 13:01:50 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Dec 2015 08:57:39 GMT",
"version": "v2"
}
] | 2015-12-10 | [
[
"Duetsch",
"Michael",
""
]
] | Usually the Lagrangian of a model for massive vector bosons is derived in a geometric way by the Higgs mechanism. We investigate whether this geometric structure is maintained under the renormalization group (RG) flow. Using the framework of Epstein-Glaser renormalization, we find that the answer is 'no', if the renormalization mass scale(s) are chosen in a way corresponding to the minimal subtraction scheme. This result is derived for the $U(1)$-Higgs model to 1-loop order. On the other hand we give a model-independent proof that physical consistency, which is a weak form of BRST-invariance of the time-ordered products, is stable under the RG-flow. |
hep-th/0101003 | Shin'ichi Nojiri | Shin'ichi Nojiri, Octavio Obregon, Sergei D. Odintsov, and Vladimir I.
Tkach | String versus Einstein frame in an AdS/CFT induced quantum dilatonic
brane-world universe | LaTeX file, 24 pages, minor changes to match with published version | Phys.Rev.D64:043505,2001 | 10.1103/PhysRevD.64.043505 | null | hep-th | null | AdS/CFT induced quantum dilatonic brane-world where 4d boundary is flat or de
Sitter (inflationary) or Anti-de Sitter brane is considered. The classical
brane tension is fixed but boundary QFT produces the effective brane tension
via the account of corresponding conformal anomaly induced effective action.
This results in inducing of brane-worlds in accordance with AdS/CFT set-up as
warped compactification. The explicit, independent construction of quantum
induced dilatonic brane-worlds in two frames: string and Einstein one is done.
It is demonstrated their complete equivalency for all quantum cosmological
brane-worlds under discussion, including several examples of classical
brane-world black holes. This is different from quantum corrected 4d dilatonic
gravity where de Sitter solution exists in Einstein but not in Jordan (string)
frame. The role of quantum corrections on massive graviton perturbations around
Anti-de Sitter brane is briefly discussed.
| [
{
"created": "Sat, 30 Dec 2000 08:19:22 GMT",
"version": "v1"
},
{
"created": "Wed, 9 May 2001 23:45:58 GMT",
"version": "v2"
}
] | 2009-09-17 | [
[
"Nojiri",
"Shin'ichi",
""
],
[
"Obregon",
"Octavio",
""
],
[
"Odintsov",
"Sergei D.",
""
],
[
"Tkach",
"Vladimir I.",
""
]
] | AdS/CFT induced quantum dilatonic brane-world where 4d boundary is flat or de Sitter (inflationary) or Anti-de Sitter brane is considered. The classical brane tension is fixed but boundary QFT produces the effective brane tension via the account of corresponding conformal anomaly induced effective action. This results in inducing of brane-worlds in accordance with AdS/CFT set-up as warped compactification. The explicit, independent construction of quantum induced dilatonic brane-worlds in two frames: string and Einstein one is done. It is demonstrated their complete equivalency for all quantum cosmological brane-worlds under discussion, including several examples of classical brane-world black holes. This is different from quantum corrected 4d dilatonic gravity where de Sitter solution exists in Einstein but not in Jordan (string) frame. The role of quantum corrections on massive graviton perturbations around Anti-de Sitter brane is briefly discussed. |
hep-th/0406191 | So Matsuura | Toshihiro Matsuo, So Matsuura and Kazutoshi Ohta (RIKEN) | Large N limit of 2D Yang-Mills Theory and Instanton Counting | 19 pages, 4 figures, LaTeX 2e, typos corrected, references added and
a figure replaced | JHEP0503:027,2005 | 10.1088/1126-6708/2005/03/027 | RIKEN-TH-27 | hep-th | null | We examine the two-dimensional U(N) Yang-Mills theory by using the technique
of random partitions. We show that the large N limit of the partition function
of the 2D Yang-Mills theory on S^2 reproduces the instanton counting of 4D N=2
supersymmetric gauge theories introduced by Nekrasov. We also discuss that we
can take the ``double scaling limit'' by fixing the product of the N and cell
size in Young diagrams, and the effective action given by Douglas and Kazakov
is naturally obtained by taking this limit. We give an interpretation for our
result from the view point of the superstring theory by considering a brane
configuration that realizes 4D N=2 supersymmetric gauge theories.
| [
{
"created": "Tue, 22 Jun 2004 16:40:05 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Jun 2004 08:56:25 GMT",
"version": "v2"
},
{
"created": "Wed, 3 Nov 2004 10:40:40 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Matsuo",
"Toshihiro",
"",
"RIKEN"
],
[
"Matsuura",
"So",
"",
"RIKEN"
],
[
"Ohta",
"Kazutoshi",
"",
"RIKEN"
]
] | We examine the two-dimensional U(N) Yang-Mills theory by using the technique of random partitions. We show that the large N limit of the partition function of the 2D Yang-Mills theory on S^2 reproduces the instanton counting of 4D N=2 supersymmetric gauge theories introduced by Nekrasov. We also discuss that we can take the ``double scaling limit'' by fixing the product of the N and cell size in Young diagrams, and the effective action given by Douglas and Kazakov is naturally obtained by taking this limit. We give an interpretation for our result from the view point of the superstring theory by considering a brane configuration that realizes 4D N=2 supersymmetric gauge theories. |
0801.2542 | Ivan K. Kostov | Ivan Kostov, Didina Serban, Dmytro Volin | Functional BES equation | References added | JHEP 0808:101,2008 | 10.1088/1126-6708/2008/08/101 | SPhT-t08/007 | hep-th | null | We give a realization of the Beisert, Eden and Staudacher equation for the
planar N=4 supersymetric gauge theory whichseems to be particularly useful to
study the strong coupling limit. We use a linearized version of the BES
equation as two coupled equations involving an auxiliary density function. We
write these equations in terms of the resolvents and we transform them into to
a system of functional, instead of integral, equations. We solve the functional
equations perturbatively in the strong coupling limit and reproduce the
recursive solution obtained by Basso, Korchemsky and Kotanski. The coefficients
of the strong coupling expansion are fixed by the analyticity properties obeyed
by the resolvents.
| [
{
"created": "Wed, 16 Jan 2008 19:52:59 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Jan 2008 15:44:39 GMT",
"version": "v2"
}
] | 2009-12-15 | [
[
"Kostov",
"Ivan",
""
],
[
"Serban",
"Didina",
""
],
[
"Volin",
"Dmytro",
""
]
] | We give a realization of the Beisert, Eden and Staudacher equation for the planar N=4 supersymetric gauge theory whichseems to be particularly useful to study the strong coupling limit. We use a linearized version of the BES equation as two coupled equations involving an auxiliary density function. We write these equations in terms of the resolvents and we transform them into to a system of functional, instead of integral, equations. We solve the functional equations perturbatively in the strong coupling limit and reproduce the recursive solution obtained by Basso, Korchemsky and Kotanski. The coefficients of the strong coupling expansion are fixed by the analyticity properties obeyed by the resolvents. |
2008.03280 | Sayantan Choudhury | Kaushik Y. Bhagat, Baibhab Bose, Sayantan Choudhury, Satyaki
Chowdhury, Rathindra N. Das, Saptarshhi G. Dastider, Nitin Gupta, Archana
Maji, Gabriel D. Pasquino, Swaraj Paul | The Generalized OTOC from Supersymmetric Quantum Mechanics: Study of
Random Fluctuations from Eigenstate Representation of Correlation Functions | 125 pages, 40 figures, This project is the part of the non-profit
virtual international research consortium "Quantum Aspects of Space-Time and
Matter (QASTM)", We would like to dedicate this work for the people those who
are helping us to fight against COVID-19 pandemic across the globe, Final
published version | Symmetry 13 (2021) no. 1, 44 | 10.3390/sym13010044 | null | hep-th cond-mat.dis-nn gr-qc nlin.CD quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The concept of out-of-time-ordered correlation (OTOC) function is treated as
a very strong theoretical probe of quantum randomness, using which one can
study both chaotic and non-chaotic phenomena in the context of quantum
statistical mechanics. In this paper, we define a general class of OTOC, which
can perfectly capture quantum randomness phenomena in a better way. Further we
demonstrate an equivalent formalism of computation using a general time
independent Hamiltonian having well defined eigenstate representation for
integrable supersymmetric quantum systems. We found that one needs to consider
two new correlators apart from the usual one to have a complete quantum
description. To visualize the impact of the given formalism we consider the two
well known models viz. Harmonic Oscillator and one dimensional potential well
within the framework of supersymmetry. For the Harmonic Oscillator case we
obtain similar periodic time dependence but dissimilar parameter dependences
compared to the results obtained from both micro-canonical and canonical
ensembles in quantum mechanics without supersymmetry. On the other hand, for
one dimensional potential well problem we found significantly different time
scale and the other parameter dependence compared to the results obtained from
non-supersymmetric quantum mechanics. Finally, to establish the consistency of
the prescribed formalism in the classical limit, we demonstrate the phase space
averaged version of the classical version of OTOCs from a model independent
Hamiltonian along with the previously mentioned these well cited models.
| [
{
"created": "Thu, 6 Aug 2020 07:53:28 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Jan 2021 07:46:23 GMT",
"version": "v2"
}
] | 2021-01-15 | [
[
"Bhagat",
"Kaushik Y.",
""
],
[
"Bose",
"Baibhab",
""
],
[
"Choudhury",
"Sayantan",
""
],
[
"Chowdhury",
"Satyaki",
""
],
[
"Das",
"Rathindra N.",
""
],
[
"Dastider",
"Saptarshhi G.",
""
],
[
"Gupta",
"Nitin",
""
],
[
"Maji",
"Archana",
""
],
[
"Pasquino",
"Gabriel D.",
""
],
[
"Paul",
"Swaraj",
""
]
] | The concept of out-of-time-ordered correlation (OTOC) function is treated as a very strong theoretical probe of quantum randomness, using which one can study both chaotic and non-chaotic phenomena in the context of quantum statistical mechanics. In this paper, we define a general class of OTOC, which can perfectly capture quantum randomness phenomena in a better way. Further we demonstrate an equivalent formalism of computation using a general time independent Hamiltonian having well defined eigenstate representation for integrable supersymmetric quantum systems. We found that one needs to consider two new correlators apart from the usual one to have a complete quantum description. To visualize the impact of the given formalism we consider the two well known models viz. Harmonic Oscillator and one dimensional potential well within the framework of supersymmetry. For the Harmonic Oscillator case we obtain similar periodic time dependence but dissimilar parameter dependences compared to the results obtained from both micro-canonical and canonical ensembles in quantum mechanics without supersymmetry. On the other hand, for one dimensional potential well problem we found significantly different time scale and the other parameter dependence compared to the results obtained from non-supersymmetric quantum mechanics. Finally, to establish the consistency of the prescribed formalism in the classical limit, we demonstrate the phase space averaged version of the classical version of OTOCs from a model independent Hamiltonian along with the previously mentioned these well cited models. |
1004.0226 | Konstantin Wiegandt | Johannes M. Henn, Jan Plefka and Konstantin Wiegandt | Light-like polygonal Wilson loops in 3d Chern-Simons and ABJM theory | 37 pages, many figures; v2: references added, minor changes; v3:
references added, sign error fixed and note added | JHEP 1008:032,2010 | 10.1007/JHEP08(2010)032 | HU-EP-10/14 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study light-like polygonal Wilson loops in three-dimensional Chern-Simons
and ABJM theory to two-loop order. For both theories we demonstrate that the
one-loop contribution to these correlators cancels. For pure Chern-Simons, we
find that specific UV divergences arise from diagrams involving two cusps,
implying the loss of finiteness and topological invariance at two-loop order.
Studying those UV divergences we derive anomalous conformal Ward identities for
n-cusped Wilson loops which restrict the finite part of the latter to
conformally invariant functions. We also compute the four-cusp Wilson loop in
ABJM theory to two-loop order and find that the result is remarkably similar to
that of the corresponding Wilson loop in N=4 SYM. Finally, we speculate about
the existence of a Wilson loop/scattering amplitude relation in ABJM theory.
| [
{
"created": "Thu, 1 Apr 2010 20:24:28 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Apr 2010 03:06:01 GMT",
"version": "v2"
},
{
"created": "Thu, 6 Oct 2011 17:11:14 GMT",
"version": "v3"
}
] | 2015-03-13 | [
[
"Henn",
"Johannes M.",
""
],
[
"Plefka",
"Jan",
""
],
[
"Wiegandt",
"Konstantin",
""
]
] | We study light-like polygonal Wilson loops in three-dimensional Chern-Simons and ABJM theory to two-loop order. For both theories we demonstrate that the one-loop contribution to these correlators cancels. For pure Chern-Simons, we find that specific UV divergences arise from diagrams involving two cusps, implying the loss of finiteness and topological invariance at two-loop order. Studying those UV divergences we derive anomalous conformal Ward identities for n-cusped Wilson loops which restrict the finite part of the latter to conformally invariant functions. We also compute the four-cusp Wilson loop in ABJM theory to two-loop order and find that the result is remarkably similar to that of the corresponding Wilson loop in N=4 SYM. Finally, we speculate about the existence of a Wilson loop/scattering amplitude relation in ABJM theory. |
2208.06609 | Mohammad Reza Ebrahimi | Mohammadreza Ebrahimi Khuzani, Behrouz Mirza, Mahnaz Tavakoli Kachi | Thermodynamic geometry of pure Lovelock black holes | 21 Pages, 27 Figures | International Journal of Modern Physics D, Vol. 31, No. 13 (2022)
2250097 | 10.1142/S0218271822500973 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we study thermodynamic geometry for pure Lovelock black holes.
The thermodynamics scalar curvature contains information about the interaction
of microstates that might be repulsive or attractive. We obtain critical
exponents and critical amplitudes of scalar and extrinsic curvatures for small
and large black holes for various dimensions. We demonstrate that this model
thermodynamic Ricci scalar scaling behavior has a universal behavior for
different dimensions. Moreover, we determine the order of phase transition by
using Ehrenfest equations and the Prigogine Defay ratio. We also consider the
extended phase space and investigate the critical behavior of the pure Lovelock
black holes for various dimensions.
| [
{
"created": "Sat, 13 Aug 2022 09:39:26 GMT",
"version": "v1"
}
] | 2022-11-15 | [
[
"Khuzani",
"Mohammadreza Ebrahimi",
""
],
[
"Mirza",
"Behrouz",
""
],
[
"Kachi",
"Mahnaz Tavakoli",
""
]
] | In this paper, we study thermodynamic geometry for pure Lovelock black holes. The thermodynamics scalar curvature contains information about the interaction of microstates that might be repulsive or attractive. We obtain critical exponents and critical amplitudes of scalar and extrinsic curvatures for small and large black holes for various dimensions. We demonstrate that this model thermodynamic Ricci scalar scaling behavior has a universal behavior for different dimensions. Moreover, we determine the order of phase transition by using Ehrenfest equations and the Prigogine Defay ratio. We also consider the extended phase space and investigate the critical behavior of the pure Lovelock black holes for various dimensions. |
1510.03582 | Victor Lekeu | G. Comp\`ere and V. Lekeu | $E_{7(7)}$ invariant non-extremal entropy | 25 pages, published version | null | 10.1007/JHEP01(2016)095 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The entropy of generic non-extremal dyonic black holes in the STU model has
been shown to admit a remarkably universal form. The missing invariant in the
formula was recently identified by S\'arosi using the formalism of quantum
entanglement as well as a higher dimensional embedding of the U-duality group.
Here, we express the non-extremal black hole entropy in the STU model in terms
of U-duality covariant tensors. We then provide the extension to the most
general non-extremal black hole of ungauged $\mathcal N= 8$ supergravity using
$E_{7(7)}$ invariants. We also conjecture a generalization for ungauged
$\mathcal N = 2$ supergravity coupled to vector multiplets with arbitrary cubic
prepotential. The most general rotating dyonic black hole solution of the STU
model with all scalar moduli turned on is provided in an appendix.
| [
{
"created": "Tue, 13 Oct 2015 09:05:17 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Jan 2016 11:38:03 GMT",
"version": "v2"
}
] | 2016-02-17 | [
[
"Compère",
"G.",
""
],
[
"Lekeu",
"V.",
""
]
] | The entropy of generic non-extremal dyonic black holes in the STU model has been shown to admit a remarkably universal form. The missing invariant in the formula was recently identified by S\'arosi using the formalism of quantum entanglement as well as a higher dimensional embedding of the U-duality group. Here, we express the non-extremal black hole entropy in the STU model in terms of U-duality covariant tensors. We then provide the extension to the most general non-extremal black hole of ungauged $\mathcal N= 8$ supergravity using $E_{7(7)}$ invariants. We also conjecture a generalization for ungauged $\mathcal N = 2$ supergravity coupled to vector multiplets with arbitrary cubic prepotential. The most general rotating dyonic black hole solution of the STU model with all scalar moduli turned on is provided in an appendix. |
1805.09455 | Ehsan Hatefi | Ehsan Hatefi | On BPS World Volume, RR Couplings and their $\alpha'$ Corrections in
type IIB | V5: 19 pages, typos corrected, clarifications added and version in
AHEP | Adv.High Energy Phys. 2020 (2020) 3872479 | 10.1155/2020/3872479 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the asymmetric and symmetric correlation functions of a four point
amplitude of a gauge field, a scalar field and a closed string Ramond-Ramond
(RR) for different non-vanishing BPS branes. All world volume, Taylor and
pull-back couplings and their all order $\alpha'$ corrections have also been
explored. Due to various symmetry structures, different restricted BPS Bianchi
identities have also been constructed. The prescription of exploring all the
corrections of two closed string RR couplings in type IIB is given. We obtain
the closed form of the entire S-matrix elements of two closed string RR and a
gauge field on the world volume of BPS branes in type IIB.
All the correlation functions of $<
V_{A^{0}(x_1)}V_{C^{-1}(z_1,\bar{z}_1)}V_{C^{-1}(z_2,\bar{z}_2)}>$ are also
revealed accordingly. The algebraic forms for the most general case of the
integrations $\int d^2z |z-i|^{a} |z+i|^{b} (z - \bar{z})^{c} (z +
\bar{z})^{d}$ on upper half plane are derived in terms of Pochhammer and some
analytic functions. Lastly, we generate various singularity structures in both
effective field theory and IIB string theory, producing different contact
interactions as well as their $\alpha'$ higher derivative corrections.
| [
{
"created": "Wed, 23 May 2018 23:46:41 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Jan 2019 17:48:22 GMT",
"version": "v2"
},
{
"created": "Mon, 2 Mar 2020 12:29:56 GMT",
"version": "v3"
},
{
"created": "Tue, 3 Mar 2020 22:39:03 GMT",
"version": "v4"
},
{
"created": "Sun, 6 Feb 2022 15:54:04 GMT",
"version": "v5"
}
] | 2022-02-08 | [
[
"Hatefi",
"Ehsan",
""
]
] | We compute the asymmetric and symmetric correlation functions of a four point amplitude of a gauge field, a scalar field and a closed string Ramond-Ramond (RR) for different non-vanishing BPS branes. All world volume, Taylor and pull-back couplings and their all order $\alpha'$ corrections have also been explored. Due to various symmetry structures, different restricted BPS Bianchi identities have also been constructed. The prescription of exploring all the corrections of two closed string RR couplings in type IIB is given. We obtain the closed form of the entire S-matrix elements of two closed string RR and a gauge field on the world volume of BPS branes in type IIB. All the correlation functions of $< V_{A^{0}(x_1)}V_{C^{-1}(z_1,\bar{z}_1)}V_{C^{-1}(z_2,\bar{z}_2)}>$ are also revealed accordingly. The algebraic forms for the most general case of the integrations $\int d^2z |z-i|^{a} |z+i|^{b} (z - \bar{z})^{c} (z + \bar{z})^{d}$ on upper half plane are derived in terms of Pochhammer and some analytic functions. Lastly, we generate various singularity structures in both effective field theory and IIB string theory, producing different contact interactions as well as their $\alpha'$ higher derivative corrections. |
1001.0882 | Torsten Asselmeyer-Maluga | Torsten Asselmeyer-Maluga and Jerzy Krol | Exotic smooth R^4, noncommutative algebras and quantization | 31 pages, 6 figures, svjour style, argumentation about closed
transversals modified (sec. 4.2) | null | null | null | hep-th gr-qc math-ph math.GT math.KT math.MP math.OA quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The paper shows deep connections between exotic smoothings of small R^4,
noncommutative algebras of foliations and quantization. At first, based on the
close relation of foliations and noncommutative C*-algebras we show that cyclic
cohomology invariants characterize some small exotic R^4. Certain exotic smooth
R^4's define a generalized embedding into a space which is K-theoretic
equivalent to a noncommutative Banach algebra. Furthermore, we show that a
factor III von Neumann algebra is naturally related with nonstandard smoothing
of a small R^4 and conjecture that this factor is the unique hyperfinite factor
III_1. We also show how an exotic smoothing of a small R^4 is related to the
Drinfeld-Turaev (deformation) quantization of the Poisson algebra
(X(S,SL(2,C),{,}) of complex functions on the space of flat connections
X(S,SL(2,C) over a surface S, and that the result of this quantization is the
skein algebra (K_t(S),[,]) for the deformation parameter t=exp(h/4). This skein
algebra is retrieved as a II_1 factor of horocycle flows which is Morita
equivalent to the II_infty factor von Neumann algebra which in turn determines
the unique factor III_1 as crossed product. Moreover, the structure of Casson
handles determine the factor II_1 algebra too. Thus, the quantization of the
Poisson algebra of closed circles in a leaf of the codimension 1 foliation of
S^3 gives rise to the factor III_1 associated with exotic smoothness of R^4.
Finally, the approach to quantization via exotic 4-smoothness is considered as
a fundamental question in dimension 4 and compared with the topos approach to
quantum theories.
| [
{
"created": "Wed, 6 Jan 2010 12:52:17 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Jan 2010 09:34:50 GMT",
"version": "v2"
}
] | 2010-01-27 | [
[
"Asselmeyer-Maluga",
"Torsten",
""
],
[
"Krol",
"Jerzy",
""
]
] | The paper shows deep connections between exotic smoothings of small R^4, noncommutative algebras of foliations and quantization. At first, based on the close relation of foliations and noncommutative C*-algebras we show that cyclic cohomology invariants characterize some small exotic R^4. Certain exotic smooth R^4's define a generalized embedding into a space which is K-theoretic equivalent to a noncommutative Banach algebra. Furthermore, we show that a factor III von Neumann algebra is naturally related with nonstandard smoothing of a small R^4 and conjecture that this factor is the unique hyperfinite factor III_1. We also show how an exotic smoothing of a small R^4 is related to the Drinfeld-Turaev (deformation) quantization of the Poisson algebra (X(S,SL(2,C),{,}) of complex functions on the space of flat connections X(S,SL(2,C) over a surface S, and that the result of this quantization is the skein algebra (K_t(S),[,]) for the deformation parameter t=exp(h/4). This skein algebra is retrieved as a II_1 factor of horocycle flows which is Morita equivalent to the II_infty factor von Neumann algebra which in turn determines the unique factor III_1 as crossed product. Moreover, the structure of Casson handles determine the factor II_1 algebra too. Thus, the quantization of the Poisson algebra of closed circles in a leaf of the codimension 1 foliation of S^3 gives rise to the factor III_1 associated with exotic smoothness of R^4. Finally, the approach to quantization via exotic 4-smoothness is considered as a fundamental question in dimension 4 and compared with the topos approach to quantum theories. |
hep-th/0505275 | Ricardo Vazquez | H. Gies, J. S\'anchez--Guill\'en, and R.A. V\'azquez | Quantum effective actions from nonperturbative worldline dynamics | 33 pages, 10 figures | JHEP 0508 (2005) 067 | 10.1088/1126-6708/2005/08/067 | HD-THEP-05-12 | hep-th hep-ph | null | We demonstrate the feasibility of a nonperturbative analysis of quantum field
theory in the worldline formalism with the help of an efficient numerical
algorithm. In particular, we compute the effective action for a
super-renormalizable field theory with cubic scalar interaction in four
dimensions in quenched approximation (small-$N_f$ expansion) to all orders in
the coupling. We observe that nonperturbative effects exert a strong influence
on the infrared behavior, rendering the massless limit well defined in contrast
to the perturbative expectation. Our numerical method is based on a direct use
of probability distributions for worldline ensembles, preserves all Euclidean
spacetime symmetries, and thus represents a new nonperturbative tool for an
investigation of continuum quantum field theory.
| [
{
"created": "Tue, 31 May 2005 16:57:49 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Gies",
"H.",
""
],
[
"Sánchez--Guillén",
"J.",
""
],
[
"Vázquez",
"R. A.",
""
]
] | We demonstrate the feasibility of a nonperturbative analysis of quantum field theory in the worldline formalism with the help of an efficient numerical algorithm. In particular, we compute the effective action for a super-renormalizable field theory with cubic scalar interaction in four dimensions in quenched approximation (small-$N_f$ expansion) to all orders in the coupling. We observe that nonperturbative effects exert a strong influence on the infrared behavior, rendering the massless limit well defined in contrast to the perturbative expectation. Our numerical method is based on a direct use of probability distributions for worldline ensembles, preserves all Euclidean spacetime symmetries, and thus represents a new nonperturbative tool for an investigation of continuum quantum field theory. |
hep-th/0112123 | Tekin Dereli | T.Dereli, R.W.Tucker (Lancaster University) | A Broken Gauge Approach to Gravitational Mass and Charge | 24 pages. LATEX file. No figures | JHEP 0203 (2002) 041 | 10.1088/1126-6708/2002/03/041 | null | hep-th | null | We argue that a spontaneous breakdown of local Weyl invariance offers a
mechanism in which gravitational interactions contribute to the generation of
particle masses and their electric charge. The theory is formulated in terms of
a spacetime geometry whose natural connection has both dynamic torsion and
non-metricity. Its structure illuminates the role of dynamic scales used to
determine measurable aspects of particle interactions and it predicts an
additional neutral vector boson with electroweak properties.
| [
{
"created": "Fri, 14 Dec 2001 09:40:04 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Dereli",
"T.",
"",
"Lancaster University"
],
[
"Tucker",
"R. W.",
"",
"Lancaster University"
]
] | We argue that a spontaneous breakdown of local Weyl invariance offers a mechanism in which gravitational interactions contribute to the generation of particle masses and their electric charge. The theory is formulated in terms of a spacetime geometry whose natural connection has both dynamic torsion and non-metricity. Its structure illuminates the role of dynamic scales used to determine measurable aspects of particle interactions and it predicts an additional neutral vector boson with electroweak properties. |
1709.10090 | Theodore A. Jacobson | Ted Jacobson and Maria J. Rodriguez | Blandford-Znajek process in vacuo and its holographic dual | 6 pages; v2: improved presentation, more explanation and two figures
added, 8 pages | Phys. Rev. D 99, 124013 (2019) | 10.1103/PhysRevD.99.124013 | null | hep-th astro-ph.HE gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Blandford and Znajek discovered a process by which a spinning black hole can
transfer rotational energy to a plasma, offering a mechanism for energy and jet
emissions from quasars. Here we describe a version of this mechanism that
operates with only vacuum electromagnetic fields outside the black hole. The
setting, which is not astrophysically realistic, involves either a cylindrical
black hole or one that lives in 2+1 spacetime dimensions, and the field is
given in simple, closed form for a wide class of metrics. For asymptotically
Anti-de Sitter black holes in 2+1 dimensions the holographic dual of this
mechanism is the transfer of angular momentum and energy, via a resistive
coupling, from a rotating thermal state containing an electric field to an
external charge density rotating more slowly than the thermal state. In
particular, the entropy increase of the thermal state due to Joule heating
matches the Bekenstein-Hawking entropy increase of the black hole.
| [
{
"created": "Thu, 28 Sep 2017 17:53:23 GMT",
"version": "v1"
},
{
"created": "Fri, 3 May 2019 05:39:48 GMT",
"version": "v2"
}
] | 2019-06-19 | [
[
"Jacobson",
"Ted",
""
],
[
"Rodriguez",
"Maria J.",
""
]
] | Blandford and Znajek discovered a process by which a spinning black hole can transfer rotational energy to a plasma, offering a mechanism for energy and jet emissions from quasars. Here we describe a version of this mechanism that operates with only vacuum electromagnetic fields outside the black hole. The setting, which is not astrophysically realistic, involves either a cylindrical black hole or one that lives in 2+1 spacetime dimensions, and the field is given in simple, closed form for a wide class of metrics. For asymptotically Anti-de Sitter black holes in 2+1 dimensions the holographic dual of this mechanism is the transfer of angular momentum and energy, via a resistive coupling, from a rotating thermal state containing an electric field to an external charge density rotating more slowly than the thermal state. In particular, the entropy increase of the thermal state due to Joule heating matches the Bekenstein-Hawking entropy increase of the black hole. |
1712.02337 | Mboyo Esole | Mboyo Esole, Monica Jinwoo Kang, Shing-Tung Yau | Mordell-Weil Torsion, Anomalies, and Phase Transitions | 57 pages+ references, 13 figures, 15 tables | null | null | null | hep-th math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore how introducing a non-trivial Mordell-Weil group changes the
structure of the Coulomb phases of a five-dimensional gauge theory from an
M-theory compactified on an elliptically fibered Calabi-Yau threefolds with a
I$_2$+I$_4$ collision of singularities. The resulting gauge theory has a
semi-simple Lie algebra $\mathfrak{su}(2)\oplus \mathfrak{sp}(4)$ or
$\mathfrak{su}(2)\oplus \mathfrak{su}(4)$. We compute topological invariants
relevant for the physics, such as the Euler characteristic, Hodge numbers, and
triple intersection numbers. We determine the matter representation
geometrically by computing weights via intersection of curves and fibral
divisors. We fix the number of charged hypermultiplets transforming in each
representations by comparing the triple intersection numbers and the one-loop
prepotential. This condition is enough to fix the number of representation when
the Mordell-Weil group is $\mathbb{Z}_2$ but not when it is trivial. The
vanishing of the fourth power of the curvature forms in the anomaly polynomial
is enough to fix the number of representations. We discuss anomaly
cancellations of the six-dimensional uplifted. In particular, the gravitational
anomaly is also considered as the Hodge numbers are computed explicitly without
counting the degrees of freedom of the Weierstrass equation.
| [
{
"created": "Wed, 6 Dec 2017 18:59:47 GMT",
"version": "v1"
}
] | 2017-12-07 | [
[
"Esole",
"Mboyo",
""
],
[
"Kang",
"Monica Jinwoo",
""
],
[
"Yau",
"Shing-Tung",
""
]
] | We explore how introducing a non-trivial Mordell-Weil group changes the structure of the Coulomb phases of a five-dimensional gauge theory from an M-theory compactified on an elliptically fibered Calabi-Yau threefolds with a I$_2$+I$_4$ collision of singularities. The resulting gauge theory has a semi-simple Lie algebra $\mathfrak{su}(2)\oplus \mathfrak{sp}(4)$ or $\mathfrak{su}(2)\oplus \mathfrak{su}(4)$. We compute topological invariants relevant for the physics, such as the Euler characteristic, Hodge numbers, and triple intersection numbers. We determine the matter representation geometrically by computing weights via intersection of curves and fibral divisors. We fix the number of charged hypermultiplets transforming in each representations by comparing the triple intersection numbers and the one-loop prepotential. This condition is enough to fix the number of representation when the Mordell-Weil group is $\mathbb{Z}_2$ but not when it is trivial. The vanishing of the fourth power of the curvature forms in the anomaly polynomial is enough to fix the number of representations. We discuss anomaly cancellations of the six-dimensional uplifted. In particular, the gravitational anomaly is also considered as the Hodge numbers are computed explicitly without counting the degrees of freedom of the Weierstrass equation. |
1201.4734 | Renato Nobili | Renato Nobili | The Conformal Universe III: Basic Mechanisms of Matter Generation | 62 pages, 14 figs | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This is the last of three papers on Conformal General Relativity (CGR), which
ascribes inflation to a spontaneous breakdown of conformal symmetry, followed
by a sudden energy transfer from geometry to matter identified as big bang.
This process is driven by a conformal-invariant, unitarity-preserving
interaction of two Nambu-Goldstone fields: a ghost scalar field $\sigma$,
invested with geometric meaning, and a physical scalar field $\varphi$ behaving
like a Higgs field of varying mass. The big bang generates a bulk of Higgs
bosons at temperature $T_B\simeq 141$ GeV, after which the universe evolves
adiabatically while the Higgs bosons decay into Standard-Model particles and
the magnitude of the gravitational coupling constant decreases. The process
ends when the $\sigma$-$\varphi$ interaction potential vanishes, the amplitudes
of these fields converge to their expectation values in a final stable vacuum
and the Higgs-boson mass converges to about 126 GeV. The main aspects of this
phenomenology are qualitatively described and accurately exemplified by
numerical simulations. The combination of CGR gravitational equation at time
zero with entropy conservation equation results in striking predictions. The
best fit to astronomic data is obtained from only standard Higgs boson
parameters and a universe age of 19.5 Gyr. The cosmological constant
$\Lambda\simeq 1.35\times 10^{-35}$s$^{-2}$, the scale factor across inflation
$Z\simeq 4.54\times 10^{27}$, and the lower bound of the power spectrum of
cosmic background anisotropies $W_{min}\!\simeq 37.5\,\mu$K$^2$ are thus
predicted.
| [
{
"created": "Mon, 23 Jan 2012 15:00:08 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Jan 2012 12:59:01 GMT",
"version": "v2"
},
{
"created": "Mon, 22 Dec 2014 18:32:19 GMT",
"version": "v3"
},
{
"created": "Mon, 28 Mar 2016 10:00:27 GMT",
"version": "v4"
}
] | 2016-03-29 | [
[
"Nobili",
"Renato",
""
]
] | This is the last of three papers on Conformal General Relativity (CGR), which ascribes inflation to a spontaneous breakdown of conformal symmetry, followed by a sudden energy transfer from geometry to matter identified as big bang. This process is driven by a conformal-invariant, unitarity-preserving interaction of two Nambu-Goldstone fields: a ghost scalar field $\sigma$, invested with geometric meaning, and a physical scalar field $\varphi$ behaving like a Higgs field of varying mass. The big bang generates a bulk of Higgs bosons at temperature $T_B\simeq 141$ GeV, after which the universe evolves adiabatically while the Higgs bosons decay into Standard-Model particles and the magnitude of the gravitational coupling constant decreases. The process ends when the $\sigma$-$\varphi$ interaction potential vanishes, the amplitudes of these fields converge to their expectation values in a final stable vacuum and the Higgs-boson mass converges to about 126 GeV. The main aspects of this phenomenology are qualitatively described and accurately exemplified by numerical simulations. The combination of CGR gravitational equation at time zero with entropy conservation equation results in striking predictions. The best fit to astronomic data is obtained from only standard Higgs boson parameters and a universe age of 19.5 Gyr. The cosmological constant $\Lambda\simeq 1.35\times 10^{-35}$s$^{-2}$, the scale factor across inflation $Z\simeq 4.54\times 10^{27}$, and the lower bound of the power spectrum of cosmic background anisotropies $W_{min}\!\simeq 37.5\,\mu$K$^2$ are thus predicted. |
hep-th/9710081 | Theodora Ioannidou | Theodora Ioannidou | Soliton Solutions of the Integrable Chiral Model in 2+1 Dimensions | 5 pages, LaTex, Proceedings of the Soliton Conference (Kingston 1997) | null | null | DTP-97/51 | hep-th | null | We present soliton and soliton-antisoliton solutions for the integrable
chiral model in 2+1 dimensions with nontrivial (elastic) scattering. These
solutions can be obtained either as the limiting cases of the ones already
constructed by Ward or by adapting Uhlenbeck's method.
| [
{
"created": "Thu, 9 Oct 1997 10:57:24 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Ioannidou",
"Theodora",
""
]
] | We present soliton and soliton-antisoliton solutions for the integrable chiral model in 2+1 dimensions with nontrivial (elastic) scattering. These solutions can be obtained either as the limiting cases of the ones already constructed by Ward or by adapting Uhlenbeck's method. |
0911.1528 | Keisuke Okamura | Keisuke Okamura | Giant Spinons | 24 pages, 4 figures; Added minor clarifications and references;
Version to appear in JHEP. | JHEP 1004:033,2010 | 10.1007/JHEP04(2010)033 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the spectrum around the "antiferromagnetic" states of the planar
AdS_5/CFT_4 duality. In contrast to the familiar large-spin limit J \to \infty
where each magnon momentum scales as p \sim 1/J << 1, we consider a novel
"large-winding" limit in which the total momentum becomes infinitely large,
\sum_j p_j \to \infty. Upon taking the limit we identify "spinon" excitations
of both gauge and string theories. In particular, a (classical) string spinon
turns out to be an infinite set of spiky strings, which are closely related to
well-known infinite-spin strings: giant magnons. Furthermore, we show that the
curious agreement of scattering phase-shifts of two spikes and that of two
giant magnons can be accounted for by regarding the spinon scattering as
factorised scatterings of infinitely many magnons.
| [
{
"created": "Mon, 9 Nov 2009 17:12:57 GMT",
"version": "v1"
},
{
"created": "Sun, 4 Apr 2010 09:34:24 GMT",
"version": "v2"
}
] | 2014-11-20 | [
[
"Okamura",
"Keisuke",
""
]
] | We study the spectrum around the "antiferromagnetic" states of the planar AdS_5/CFT_4 duality. In contrast to the familiar large-spin limit J \to \infty where each magnon momentum scales as p \sim 1/J << 1, we consider a novel "large-winding" limit in which the total momentum becomes infinitely large, \sum_j p_j \to \infty. Upon taking the limit we identify "spinon" excitations of both gauge and string theories. In particular, a (classical) string spinon turns out to be an infinite set of spiky strings, which are closely related to well-known infinite-spin strings: giant magnons. Furthermore, we show that the curious agreement of scattering phase-shifts of two spikes and that of two giant magnons can be accounted for by regarding the spinon scattering as factorised scatterings of infinitely many magnons. |
2202.12815 | Arnab Kundu | Suchetan Das, Bobby Ezhuthachan, Arnab Kundu, Somnath Porey, Baishali
Roy, K. Sengupta | Out-of-Time-Order correlators in driven conformal field theories | 34 pages, 6 figures, references added, minor corrections | null | 10.1007/JHEP08(2022)221 | null | hep-th cond-mat.str-el | http://creativecommons.org/licenses/by/4.0/ | We compute Out-of-Time-Order correlators (OTOCs) for conformal field theories
(CFTs) subjected to either continuous or discrete periodic drive protocols.
This is achieved by an appropriate analytic continuation of the stroboscopic
time. After detailing the general structure, we perform explicit calculations
in large-$c$ CFTs where we find that OTOCs display an exponential, an
oscillatory and a power-law behaviour in the heating phase, the non-heating
phase and on the phase boundary, respectively. In contrast to this, for the
Ising CFT representing an integrable model, OTOCs never display such
exponential growth. This observation hints towards how OTOCs can demarcate
between integrable and chaotic CFT models subjected to a periodic drive. We
further explore properties of the light-cone which is characterized by the
corresponding butterfly velocity as well as the Lyapunov exponent.
Interestingly, as a consequence of the spatial inhomogeneity introduced by the
drive, the butterfly velocity, in these systems, has an explicit dependence on
the initial location of the operators. We chart out the dependence of the
Lyapunov exponent and the butterfly velocities on the frequency and amplitude
of the drive for both protocols and discuss the fixed point structure which
differentiates such driven CFTs from their un-driven counterparts.
| [
{
"created": "Fri, 25 Feb 2022 16:48:00 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Apr 2022 14:29:12 GMT",
"version": "v2"
}
] | 2022-09-07 | [
[
"Das",
"Suchetan",
""
],
[
"Ezhuthachan",
"Bobby",
""
],
[
"Kundu",
"Arnab",
""
],
[
"Porey",
"Somnath",
""
],
[
"Roy",
"Baishali",
""
],
[
"Sengupta",
"K.",
""
]
] | We compute Out-of-Time-Order correlators (OTOCs) for conformal field theories (CFTs) subjected to either continuous or discrete periodic drive protocols. This is achieved by an appropriate analytic continuation of the stroboscopic time. After detailing the general structure, we perform explicit calculations in large-$c$ CFTs where we find that OTOCs display an exponential, an oscillatory and a power-law behaviour in the heating phase, the non-heating phase and on the phase boundary, respectively. In contrast to this, for the Ising CFT representing an integrable model, OTOCs never display such exponential growth. This observation hints towards how OTOCs can demarcate between integrable and chaotic CFT models subjected to a periodic drive. We further explore properties of the light-cone which is characterized by the corresponding butterfly velocity as well as the Lyapunov exponent. Interestingly, as a consequence of the spatial inhomogeneity introduced by the drive, the butterfly velocity, in these systems, has an explicit dependence on the initial location of the operators. We chart out the dependence of the Lyapunov exponent and the butterfly velocities on the frequency and amplitude of the drive for both protocols and discuss the fixed point structure which differentiates such driven CFTs from their un-driven counterparts. |
1202.5081 | Peter Horvathy | P. M. Zhang and P. A. Horvathy | Exotic Hill Problem: Hall motions and symmetries | RevTeX, 4 pages, 4 figures | null | 10.1103/PhysRevD.85.107701 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Our previous study of a system of bodies assumed to move along almost
circular orbits around a central mass, approximately described by Hill's
equations, is extended to "exotic" [alias non-commutative] particles. For a
certain critical value of the angular velocity, the only allowed motions follow
the Hall law. Translations and generalized boosts span two independent
Heisenberg algebras with different central parameters. In the critical case,
the symmetry reduces to a single Heisenberg algebra.
| [
{
"created": "Thu, 23 Feb 2012 03:14:43 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Mar 2012 01:25:19 GMT",
"version": "v2"
}
] | 2013-05-30 | [
[
"Zhang",
"P. M.",
""
],
[
"Horvathy",
"P. A.",
""
]
] | Our previous study of a system of bodies assumed to move along almost circular orbits around a central mass, approximately described by Hill's equations, is extended to "exotic" [alias non-commutative] particles. For a certain critical value of the angular velocity, the only allowed motions follow the Hall law. Translations and generalized boosts span two independent Heisenberg algebras with different central parameters. In the critical case, the symmetry reduces to a single Heisenberg algebra. |
1509.08986 | Feihu Liu | Feihu Liu and Xiao Liu | Two intervals R\'enyi entanglement entropy of compact free boson on
torus | 29 pages, 7 figures | null | 10.1007/JHEP01(2016)058 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the $N=2$ R\'enyi entanglement entropy of two intervals at equal
time in a circle, for the theory of a 2d compact complex free scalar at finite
temperature. This is carried out by performing functional integral on a genus 3
ramified cover of the torus, wherein the quantum part of the integral is
captured by the four point function of twist fields on the worldsheet torus,
and the classical piece is given by summing over winding modes of the genus 3
surface onto the target space torus. The final result is given in terms of a
product of theta function and certain multi-dimensional theta function. We
demonstrate the T-duality invariance of the result. We also study its low
temperature limit. In the case in which the size of the intervals and of their
separation are much smaller than the whole system, our result is in exact
agreement with the known result for two intervals on an infinite system at zero
temperature \cite{eeoftwo}. In the case in which the separation between the two
intervals is much smaller than the interval length, the leading thermal
corrections take the same universal form as proposed in
\cite{Cardy:2014jwa,Chen:2015cna} for R\'enyi entanglement entropy of a single
interval.
| [
{
"created": "Wed, 30 Sep 2015 01:10:11 GMT",
"version": "v1"
}
] | 2016-02-17 | [
[
"Liu",
"Feihu",
""
],
[
"Liu",
"Xiao",
""
]
] | We compute the $N=2$ R\'enyi entanglement entropy of two intervals at equal time in a circle, for the theory of a 2d compact complex free scalar at finite temperature. This is carried out by performing functional integral on a genus 3 ramified cover of the torus, wherein the quantum part of the integral is captured by the four point function of twist fields on the worldsheet torus, and the classical piece is given by summing over winding modes of the genus 3 surface onto the target space torus. The final result is given in terms of a product of theta function and certain multi-dimensional theta function. We demonstrate the T-duality invariance of the result. We also study its low temperature limit. In the case in which the size of the intervals and of their separation are much smaller than the whole system, our result is in exact agreement with the known result for two intervals on an infinite system at zero temperature \cite{eeoftwo}. In the case in which the separation between the two intervals is much smaller than the interval length, the leading thermal corrections take the same universal form as proposed in \cite{Cardy:2014jwa,Chen:2015cna} for R\'enyi entanglement entropy of a single interval. |
2003.02844 | Nathan Benjamin | Nathan Benjamin, Hirosi Ooguri, Shu-Heng Shao, Yifan Wang | Twist Gap and Global Symmetry in Two Dimensions | 16 pages, 2 figures, v2: minor changes | null | 10.1103/PhysRevD.101.106026 | CALT-TH 2020-002, IPMU20-0023, PUPT-2609 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that every compact, unitary two-dimensional CFT with an abelian
conserved current has vanishing twist gap for charged primary fields with
respect to the $\mathfrak{u}(1)\times$Virasoro algebra. This means that either
the chiral algebra is enhanced by a charged primary field with zero twist or
there is an infinite family of charged primary fields that accumulate to zero
twist.
| [
{
"created": "Thu, 5 Mar 2020 19:00:00 GMT",
"version": "v1"
},
{
"created": "Sat, 14 Mar 2020 17:57:15 GMT",
"version": "v2"
}
] | 2020-06-24 | [
[
"Benjamin",
"Nathan",
""
],
[
"Ooguri",
"Hirosi",
""
],
[
"Shao",
"Shu-Heng",
""
],
[
"Wang",
"Yifan",
""
]
] | We show that every compact, unitary two-dimensional CFT with an abelian conserved current has vanishing twist gap for charged primary fields with respect to the $\mathfrak{u}(1)\times$Virasoro algebra. This means that either the chiral algebra is enhanced by a charged primary field with zero twist or there is an infinite family of charged primary fields that accumulate to zero twist. |
hep-th/9611136 | M. B. Green | Laurent Baulieu, Michael B. Green, Eliezer Rabinovici | Superstrings from theories with N>1 world-sheet supersymmetry | Typos corrected and comments added about D-instanton, 20 pages | Nucl.Phys. B498 (1997) 119-134 | 10.1016/S0550-3213(97)00114-4 | DAMTP/96-50, PAR--LPTHE 96--15, YITP-96-47 | hep-th | null | String theories with (N,N') local world-sheet supersymmetries are related to
each other by marginal deformations. This connects N=1 and N=0 theories in
which the target-spaces are interpreted as space-times, N=2 theories in which
the target spaces can be interpreted as world-volumes, and theories with $N\ge
3$, in which the central charge vanishes -- theories with zero target-space
dimensions.
| [
{
"created": "Mon, 18 Nov 1996 19:01:34 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Nov 1996 18:10:54 GMT",
"version": "v2"
}
] | 2016-09-06 | [
[
"Baulieu",
"Laurent",
""
],
[
"Green",
"Michael B.",
""
],
[
"Rabinovici",
"Eliezer",
""
]
] | String theories with (N,N') local world-sheet supersymmetries are related to each other by marginal deformations. This connects N=1 and N=0 theories in which the target-spaces are interpreted as space-times, N=2 theories in which the target spaces can be interpreted as world-volumes, and theories with $N\ge 3$, in which the central charge vanishes -- theories with zero target-space dimensions. |
1605.01456 | Sergey Pavluchenko A. | Sergey A. Pavluchenko | Cosmological dynamics of spatially flat Einstein-Gauss-Bonnet models in
various dimensions. Vacuum case | 34 pages, 7 figures, 7 tables | Phys. Rev. D 94, 024046 (2016) | 10.1103/PhysRevD.94.024046 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we perform a systematic study of vacuum spatially flat
((3+D)+1)-dimensional Einstein-Gauss-Bonnet cosmological models. We consider
models which topologically are the product of two flat isotropic subspaces with
different scale factors. One of these subspaces is 3D and represents our space
and the other is D-dimensional and represents extra dimensions. We consider no
ansatz of the scale factors, which makes our results quite general. With both
Einstein-Hilbert and Gauss-Bonnet contributions in play, the cases with D=1,
D=2, D=3 and $D\geqslant 4$ have different dynamics due to different structure
of the equations of motion. We analytically study equations of motion in all
cases and describe all possible regimes. It appears that the only regimes with
nonsingular future asymptotes are the Kasner regime in GR as well as
exponential regimes. As of the past asymptotes, for a smooth transition only
Kasner regime in Gauss-Bonnet is an option. With that at hand, we are down only
to two viable regimes -- "pure" Kasner regime (transition from high- to
low-energy Kasner regime) and a transition from high-energy Kasner to
anisotropic exponential solution. It appears that these regimes take place for
different signs of the Gauss-Bonnet coupling $\alpha$: "pure" Kasner regime
occur for $\alpha > 0$ at low D and $\alpha < 0$ for high D; anisotropic
exponential regime is reached only for $\alpha > 0$. So if we restrain
ourselves with $\alpha > 0$ solutions, the only late-time regimes are Kasner
for D=1, 2 and anisotropic exponential for $D\geqslant 2$. Also, low-energy
Kasner regimes ($a(t)\propto t^p$) have expansion rates for (3+1)-dimensional
subspace ("our Universe") ranging from p=0.5 (D=1) to $p=1/\sqrt{3} \approx
0.577$ ($D\to\infty$), which contradicts with dust-dominated Friedmann
prediction (p=2/3).
| [
{
"created": "Wed, 4 May 2016 23:14:27 GMT",
"version": "v1"
}
] | 2016-07-26 | [
[
"Pavluchenko",
"Sergey A.",
""
]
] | In this paper we perform a systematic study of vacuum spatially flat ((3+D)+1)-dimensional Einstein-Gauss-Bonnet cosmological models. We consider models which topologically are the product of two flat isotropic subspaces with different scale factors. One of these subspaces is 3D and represents our space and the other is D-dimensional and represents extra dimensions. We consider no ansatz of the scale factors, which makes our results quite general. With both Einstein-Hilbert and Gauss-Bonnet contributions in play, the cases with D=1, D=2, D=3 and $D\geqslant 4$ have different dynamics due to different structure of the equations of motion. We analytically study equations of motion in all cases and describe all possible regimes. It appears that the only regimes with nonsingular future asymptotes are the Kasner regime in GR as well as exponential regimes. As of the past asymptotes, for a smooth transition only Kasner regime in Gauss-Bonnet is an option. With that at hand, we are down only to two viable regimes -- "pure" Kasner regime (transition from high- to low-energy Kasner regime) and a transition from high-energy Kasner to anisotropic exponential solution. It appears that these regimes take place for different signs of the Gauss-Bonnet coupling $\alpha$: "pure" Kasner regime occur for $\alpha > 0$ at low D and $\alpha < 0$ for high D; anisotropic exponential regime is reached only for $\alpha > 0$. So if we restrain ourselves with $\alpha > 0$ solutions, the only late-time regimes are Kasner for D=1, 2 and anisotropic exponential for $D\geqslant 2$. Also, low-energy Kasner regimes ($a(t)\propto t^p$) have expansion rates for (3+1)-dimensional subspace ("our Universe") ranging from p=0.5 (D=1) to $p=1/\sqrt{3} \approx 0.577$ ($D\to\infty$), which contradicts with dust-dominated Friedmann prediction (p=2/3). |
0706.0884 | Alessandro Torrielli | Sanefumi Moriyama and Alessandro Torrielli | A Yangian Double for the AdS/CFT Classical r-matrix | 18 pages, no figures, LaTeX. v2: references added and minor changes | JHEP 0706:083,2007 | 10.1088/1126-6708/2007/06/083 | MIT-CTP-3843 | hep-th | null | We express the classical r-matrix of AdS/CFT in terms of tensor products
involving an infinite family of generators, which takes a form suggestive of
the universal expression obtained from a Yangian double. This should provide an
insight into the structure of the infinite dimensional symmetry algebra
underlying the integrability of the model, and give a clue to the construction
of its universal R-matrix. We derive the commutation relations under which the
algebra of these new generators close.
| [
{
"created": "Wed, 6 Jun 2007 18:11:44 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Jun 2007 18:35:01 GMT",
"version": "v2"
}
] | 2009-11-13 | [
[
"Moriyama",
"Sanefumi",
""
],
[
"Torrielli",
"Alessandro",
""
]
] | We express the classical r-matrix of AdS/CFT in terms of tensor products involving an infinite family of generators, which takes a form suggestive of the universal expression obtained from a Yangian double. This should provide an insight into the structure of the infinite dimensional symmetry algebra underlying the integrability of the model, and give a clue to the construction of its universal R-matrix. We derive the commutation relations under which the algebra of these new generators close. |
hep-th/9702136 | null | Moshe Rozali | Matrix Theory and U-Duality in Seven Dimensions | Minor Changes. 8 pages, no figures | Phys.Lett. B400 (1997) 260-264 | 10.1016/S0370-2693(97)00361-4 | UTTG-06-97 | hep-th | null | We demonstrate the emergence of the U-duality group in compactification of
Matrix theory on a 4-torus. The discussion involves non-trivial effects in
strongly coupled 4+1 dimensional gauge theory, and highlights some interesting
phenomena in the Matrix theory description of compactified M-theory.
| [
{
"created": "Tue, 18 Feb 1997 23:39:24 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Mar 1997 21:28:45 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Rozali",
"Moshe",
""
]
] | We demonstrate the emergence of the U-duality group in compactification of Matrix theory on a 4-torus. The discussion involves non-trivial effects in strongly coupled 4+1 dimensional gauge theory, and highlights some interesting phenomena in the Matrix theory description of compactified M-theory. |
1002.2447 | Kristan Jensen | Kristan Jensen, Andreas Karch, and Ethan G. Thompson | A Holographic Quantum Critical Point at Finite Magnetic Field and Finite
Density | 29 pages, 8 figures | null | 10.1007/JHEP05(2010)015 | INT-PUB-10-010 | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze the phase diagram of N=4 supersymmetric Yang-Mills theory with
fundamental matter in the presence of a background magnetic field and nonzero
baryon number. We identify an isolated quantum critical point separating two
differently ordered finite density phases. The ingredients that give rise to
this transition are generic in a holographic setup, leading us to conjecture
that such critical points should be rather common. In this case, the quantum
phase transition is second order with mean-field exponents. We characterize the
neighborhood of the critical point at small temperatures and identify some
signatures of a new phase dominated by the critical point. We also identify the
line of transitions between the finite density and zero density phases. The
line is completely determined by the mass of the lightest charged quasiparticle
at zero density. Finally, we measure the magnetic susceptibility and find hints
of fermion condensation at large magnetic field.
| [
{
"created": "Thu, 11 Feb 2010 23:45:36 GMT",
"version": "v1"
}
] | 2015-05-18 | [
[
"Jensen",
"Kristan",
""
],
[
"Karch",
"Andreas",
""
],
[
"Thompson",
"Ethan G.",
""
]
] | We analyze the phase diagram of N=4 supersymmetric Yang-Mills theory with fundamental matter in the presence of a background magnetic field and nonzero baryon number. We identify an isolated quantum critical point separating two differently ordered finite density phases. The ingredients that give rise to this transition are generic in a holographic setup, leading us to conjecture that such critical points should be rather common. In this case, the quantum phase transition is second order with mean-field exponents. We characterize the neighborhood of the critical point at small temperatures and identify some signatures of a new phase dominated by the critical point. We also identify the line of transitions between the finite density and zero density phases. The line is completely determined by the mass of the lightest charged quasiparticle at zero density. Finally, we measure the magnetic susceptibility and find hints of fermion condensation at large magnetic field. |
1901.03483 | Swapnamay Mondal Dr. | Swapnamay Mondal | A simple model for Hawking radiation | 20 pages, 6 figures, important finding added, title changed | null | 10.1007/JHEP03(2020)119 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider $n$ free Majorana fermions probing a SYK system comprising of $N$
Majorana fermions. We solve the full system in deep infrared and in large $N$
(as well as large $n$) limit. The essential physics of the SYK system is not
affected by the probe Majoranas, except addition of another tower of primaries.
The SYK system is seen to induce maximal chaos as well as the whole spectrum of
primaries, on to the probe system. The renormalization of soft mode action is
computed. We comment on features in common with Hawking radiation.
| [
{
"created": "Fri, 11 Jan 2019 05:15:44 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Dec 2019 12:46:57 GMT",
"version": "v2"
}
] | 2020-04-22 | [
[
"Mondal",
"Swapnamay",
""
]
] | We consider $n$ free Majorana fermions probing a SYK system comprising of $N$ Majorana fermions. We solve the full system in deep infrared and in large $N$ (as well as large $n$) limit. The essential physics of the SYK system is not affected by the probe Majoranas, except addition of another tower of primaries. The SYK system is seen to induce maximal chaos as well as the whole spectrum of primaries, on to the probe system. The renormalization of soft mode action is computed. We comment on features in common with Hawking radiation. |
hep-th/9906198 | Y. M. Cho | Y. M. Cho and D. G. Pak | Magnetic Confinement in QCD | 4 pages, no figure, PRL format. submitted to Phys. Lett. B | J.KoreanPhys.Soc.38:151-154,2001 | null | null | hep-th hep-lat math-ph math.MP nucl-th | null | We present a strong evidence for the magnetic confinement in QCD by
demonstrating that the one loop effective action of SU(2) QCD induces a
dynamical symmetry breaking thorugh the monopole condensation, which could
induce the dual Meissner effect and guarantee the confinement of color in the
non-Abelian gauge theory. The result is obtained by separating the topological
degrees which describes the non-Abelian monopoles from the dynamical degrees of
the potential, and integrating out all the dynamical degrees of QCD.
| [
{
"created": "Fri, 25 Jun 1999 07:36:24 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Nov 1999 05:15:22 GMT",
"version": "v2"
},
{
"created": "Sat, 11 Dec 1999 01:33:13 GMT",
"version": "v3"
},
{
"created": "Wed, 21 Jun 2000 22:14:19 GMT",
"version": "v4"
}
] | 2008-11-26 | [
[
"Cho",
"Y. M.",
""
],
[
"Pak",
"D. G.",
""
]
] | We present a strong evidence for the magnetic confinement in QCD by demonstrating that the one loop effective action of SU(2) QCD induces a dynamical symmetry breaking thorugh the monopole condensation, which could induce the dual Meissner effect and guarantee the confinement of color in the non-Abelian gauge theory. The result is obtained by separating the topological degrees which describes the non-Abelian monopoles from the dynamical degrees of the potential, and integrating out all the dynamical degrees of QCD. |
1406.5635 | Dmitri Fursaev | Dmitri Fursaev | Notes on Derivation of 'Generalized Gravitational Entropy' | 9 pages, discussion of singularities in (3.1) is corrected | Bulletin MSRU, v.1 (2014) 1-9 | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An alternative derivation of generalized gravitational entropy associated to
co-dimension 2 'entangling' hypersurfaces is given. The approach is similar to
the Jacobson-Myers 'Hamiltonian' method and it does not require computations on
manifolds with conical singularities. It is demonstrated that the entangling
surfaces should be extrema of the entropy functional. When our approach is
applied to Lovelock theories of gravity the generalized entropy formula
coincides with results derived by other methods.
| [
{
"created": "Sat, 21 Jun 2014 17:10:15 GMT",
"version": "v1"
},
{
"created": "Sat, 5 Jul 2014 10:31:03 GMT",
"version": "v2"
}
] | 2014-07-08 | [
[
"Fursaev",
"Dmitri",
""
]
] | An alternative derivation of generalized gravitational entropy associated to co-dimension 2 'entangling' hypersurfaces is given. The approach is similar to the Jacobson-Myers 'Hamiltonian' method and it does not require computations on manifolds with conical singularities. It is demonstrated that the entangling surfaces should be extrema of the entropy functional. When our approach is applied to Lovelock theories of gravity the generalized entropy formula coincides with results derived by other methods. |
0812.2315 | Giuseppe Torri | Amihay Hanany, Noppadol Mekareeya and Giuseppe Torri | The Hilbert Series of Adjoint SQCD | 53 pages, 1 figure and 2 tables. Version 2: Section 4.4.1 added,
Section 4.4 improved, typos fixed, published in Nuclear Physics B | Nucl.Phys.B825:52-97,2010 | 10.1016/j.nuclphysb.2009.09.016 | Imperial/TP/08/AH/11 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use the plethystic exponential and the Molien-Weyl formula to compute the
Hilbert series (generating funtions), which count gauge invariant operators in
N=1 supersymmetric SU(N_c), Sp(N_c), SO(N_c) and G_2 gauge theories with 1
adjoint chiral superfield, fundamental chiral superfields, and zero classical
superpotential. The structure of the chiral ring through the generators and
relations between them is examined using the plethystic logarithm and the
character expansion technique. The palindromic numerator in the Hilbert series
implies that the classical moduli space of adjoint SQCD is an affine Calabi-Yau
cone over a weighted projective variety.
| [
{
"created": "Fri, 12 Dec 2008 08:46:12 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Oct 2009 00:46:37 GMT",
"version": "v2"
}
] | 2009-11-09 | [
[
"Hanany",
"Amihay",
""
],
[
"Mekareeya",
"Noppadol",
""
],
[
"Torri",
"Giuseppe",
""
]
] | We use the plethystic exponential and the Molien-Weyl formula to compute the Hilbert series (generating funtions), which count gauge invariant operators in N=1 supersymmetric SU(N_c), Sp(N_c), SO(N_c) and G_2 gauge theories with 1 adjoint chiral superfield, fundamental chiral superfields, and zero classical superpotential. The structure of the chiral ring through the generators and relations between them is examined using the plethystic logarithm and the character expansion technique. The palindromic numerator in the Hilbert series implies that the classical moduli space of adjoint SQCD is an affine Calabi-Yau cone over a weighted projective variety. |
hep-th/9605145 | null | Kristin Forger, Burt A. Ovrut, Stefan J. Theisen, Daniel Waldram | Higher-Derivative Gravity in String Theory | 14 pages, 6 Postscript figures, latex and psfig | Phys.Lett. B388 (1996) 512-520 | 10.1016/S0370-2693(96)01175-6 | LMU-TPW 96-14, UPR-664T | hep-th | null | We explicitly extract the structure of higher-derivative curvature-squared
terms at genus 0 and 1 in the d=4 heterotic string effective action
compactified on symmetric orbifolds by computing on-shell S-matrix superstring
amplitudes. In particular, this is done within the context of calculating the
graviton 4-point amplitude. We also discuss the moduli-dependent gravitational
threshold corrections to the coupling associated with the CP even quadratic
curvature terms.
| [
{
"created": "Tue, 21 May 1996 16:49:19 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Forger",
"Kristin",
""
],
[
"Ovrut",
"Burt A.",
""
],
[
"Theisen",
"Stefan J.",
""
],
[
"Waldram",
"Daniel",
""
]
] | We explicitly extract the structure of higher-derivative curvature-squared terms at genus 0 and 1 in the d=4 heterotic string effective action compactified on symmetric orbifolds by computing on-shell S-matrix superstring amplitudes. In particular, this is done within the context of calculating the graviton 4-point amplitude. We also discuss the moduli-dependent gravitational threshold corrections to the coupling associated with the CP even quadratic curvature terms. |
2202.12698 | Gerben Oling | Gerben Oling, Ziqi Yan | Aspects of Nonrelativistic Strings | 46 pages, review article for Frontiers in Physics Research Topic
"Non-Lorentzian Geometry and its Applications"; v2: clarifications and
references added, published version | null | 10.3389/fphy.2022.832271 | NORDITA 2022-006 | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We review recent developments on nonrelativistic string theory. In flat
spacetime, the theory is defined by a two-dimensional relativistic quantum
field theory with nonrelativistic global symmetries acting on the worldsheet
fields. This theory arises as a self-contained corner of relativistic string
theory. It has a string spectrum with a Galilean dispersion relation, and a
spacetime S-matrix with nonrelativistic symmetry. This string theory also gives
a unitary and ultraviolet complete framework that connects different corners of
string theory, including matrix string theory and noncommutative open strings.
In recent years, there has been a resurgence of interest in the non-Lorentzian
geometries and quantum field theories that arise from nonrelativistic string
theory in background fields. In this review, we start with an introduction to
the foundations of nonrelativistic string theory in flat spacetime. We then
give an overview of recent progress, including the appropriate target-space
geometry that nonrelativistic strings couple to. This is known as (torsional)
string Newton-Cartan geometry, which is neither Lorentzian nor Riemannian. We
also give a review of nonrelativistic open strings and effective field theories
living on D-branes. Finally, we discuss applications of nonrelativistic strings
to decoupling limits in the context of the AdS/CFT correspondence.
| [
{
"created": "Fri, 25 Feb 2022 13:54:56 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Jun 2022 15:14:22 GMT",
"version": "v2"
}
] | 2022-06-10 | [
[
"Oling",
"Gerben",
""
],
[
"Yan",
"Ziqi",
""
]
] | We review recent developments on nonrelativistic string theory. In flat spacetime, the theory is defined by a two-dimensional relativistic quantum field theory with nonrelativistic global symmetries acting on the worldsheet fields. This theory arises as a self-contained corner of relativistic string theory. It has a string spectrum with a Galilean dispersion relation, and a spacetime S-matrix with nonrelativistic symmetry. This string theory also gives a unitary and ultraviolet complete framework that connects different corners of string theory, including matrix string theory and noncommutative open strings. In recent years, there has been a resurgence of interest in the non-Lorentzian geometries and quantum field theories that arise from nonrelativistic string theory in background fields. In this review, we start with an introduction to the foundations of nonrelativistic string theory in flat spacetime. We then give an overview of recent progress, including the appropriate target-space geometry that nonrelativistic strings couple to. This is known as (torsional) string Newton-Cartan geometry, which is neither Lorentzian nor Riemannian. We also give a review of nonrelativistic open strings and effective field theories living on D-branes. Finally, we discuss applications of nonrelativistic strings to decoupling limits in the context of the AdS/CFT correspondence. |
1609.03991 | Federico Galli | V. Balasubramanian, A. Bernamonti, B. Craps, T. De Jonckheere, F.
Galli | Entwinement in discretely gauged theories | 28 pages, 4 figures; v2: clarifications and reference added, minor
typos corrected, published version | null | 10.1007/JHEP12(2016)094 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop the notion of entwinement to characterize the amount of quantum
entanglement between internal, discretely gauged degrees of freedom in a
quantum field theory. This concept originated in the program of reconstructing
spacetime from entanglement in holographic duality. We define entwinement
formally in terms of a novel replica method which uses twist operators charged
in a representation of the discrete gauge group. In terms of these twist
operators we define a non-local, gauge-invariant object whose expectation value
computes entwinement in a standard replica limit. We apply our method to the
computation of entwinement in symmetric orbifold conformal field theories in
1+1 dimensions, which have an $S_N$ gauging. Such a theory appears in the weak
coupling limit of the D1-D5 string theory which is dual to AdS$_3$ at strong
coupling. In this context, we show how certain kinds of entwinement measure the
lengths, in units of the AdS scale, of non-minimal geodesics present in certain
excited states of the system which are gravitationally described as conical
defects and the $M=0$ BTZ black hole. The possible types of entwinement that
can be computed define a very large new class of quantities characterizing the
fine structure of quantum wavefunctions.
| [
{
"created": "Tue, 13 Sep 2016 19:33:52 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Dec 2016 22:39:41 GMT",
"version": "v2"
}
] | 2017-02-01 | [
[
"Balasubramanian",
"V.",
""
],
[
"Bernamonti",
"A.",
""
],
[
"Craps",
"B.",
""
],
[
"De Jonckheere",
"T.",
""
],
[
"Galli",
"F.",
""
]
] | We develop the notion of entwinement to characterize the amount of quantum entanglement between internal, discretely gauged degrees of freedom in a quantum field theory. This concept originated in the program of reconstructing spacetime from entanglement in holographic duality. We define entwinement formally in terms of a novel replica method which uses twist operators charged in a representation of the discrete gauge group. In terms of these twist operators we define a non-local, gauge-invariant object whose expectation value computes entwinement in a standard replica limit. We apply our method to the computation of entwinement in symmetric orbifold conformal field theories in 1+1 dimensions, which have an $S_N$ gauging. Such a theory appears in the weak coupling limit of the D1-D5 string theory which is dual to AdS$_3$ at strong coupling. In this context, we show how certain kinds of entwinement measure the lengths, in units of the AdS scale, of non-minimal geodesics present in certain excited states of the system which are gravitationally described as conical defects and the $M=0$ BTZ black hole. The possible types of entwinement that can be computed define a very large new class of quantities characterizing the fine structure of quantum wavefunctions. |
hep-th/0602250 | Ulf Gran | U. Gran, P. Lohrmann and G. Papadopoulos | Geometry of type II common sector N=2 backgrounds | 30 pages | JHEP 0606:049,2006 | 10.1088/1126-6708/2006/06/049 | null | hep-th | null | We describe the geometry of all type II common sector backgrounds with two
supersymmetries. In particular, we determine the spacetime geometry of those
supersymmetric backgrounds for which each copy of the Killing spinor equations
admits a Killing spinor. The stability subgroups of both Killing spinors are
$Spin(7)\ltimes \bR^8$, $SU(4)\ltimes \bR^8$ and $G_2$ for IIB backgrounds, and
$Spin(7)$, SU(4) and $G_2\ltimes \bR^8$ for IIA backgrounds. We show that the
spacetime of backgrounds with spinors that have stability subgroup $K\ltimes
\bR^8$ is a pp-wave propagating in an eight-dimensional manifold with a
$K$-structure. The spacetime of backgrounds with $K$-invariant Killing spinors
is a fibre bundle with fibre spanned by the orbits of two commuting null
Killing vector fields and base space an eight-dimensional manifold which admits
a $K$-structure. Type II T-duality interchanges the backgrounds with $K$- and
$K\ltimes\bR^8$-invariant Killing spinors. We show that the geometries of the
base space of the fibre bundle and the corresponding space in which the pp-wave
propagates are the same. The conformal symmetry of the world-sheet action of
type II strings propagating in these N=2 backgrounds can always be fixed in the
light-cone gauge.
| [
{
"created": "Thu, 23 Feb 2006 18:43:21 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Gran",
"U.",
""
],
[
"Lohrmann",
"P.",
""
],
[
"Papadopoulos",
"G.",
""
]
] | We describe the geometry of all type II common sector backgrounds with two supersymmetries. In particular, we determine the spacetime geometry of those supersymmetric backgrounds for which each copy of the Killing spinor equations admits a Killing spinor. The stability subgroups of both Killing spinors are $Spin(7)\ltimes \bR^8$, $SU(4)\ltimes \bR^8$ and $G_2$ for IIB backgrounds, and $Spin(7)$, SU(4) and $G_2\ltimes \bR^8$ for IIA backgrounds. We show that the spacetime of backgrounds with spinors that have stability subgroup $K\ltimes \bR^8$ is a pp-wave propagating in an eight-dimensional manifold with a $K$-structure. The spacetime of backgrounds with $K$-invariant Killing spinors is a fibre bundle with fibre spanned by the orbits of two commuting null Killing vector fields and base space an eight-dimensional manifold which admits a $K$-structure. Type II T-duality interchanges the backgrounds with $K$- and $K\ltimes\bR^8$-invariant Killing spinors. We show that the geometries of the base space of the fibre bundle and the corresponding space in which the pp-wave propagates are the same. The conformal symmetry of the world-sheet action of type II strings propagating in these N=2 backgrounds can always be fixed in the light-cone gauge. |
hep-th/9708157 | Melnikov Vitaly | V. D. Ivashchuk and V. N. Melnikov | Multidimensional Classical and Quantum Cosmology with Intersecting
p-branes | 26 pages, Latex. Submit. to J. Math. Phys | J.Math.Phys. 39 (1998) 2866-2888 | 10.1063/1.532427 | null | hep-th | null | Multidimensional cosmological model describing the evolution of n+1 Einstein
spaces in the theory with several scalar fields and forms is considered. When a
(electro-magnetic composite) p-brane Ansatz is adopted the field equations are
reduced to the equations for Toda-like system. The Wheeler-De Witt equation is
obtained. In the case when n "internal" spaces are Ricci-flat, one space M_0
has a non-zero curvature, and all p-branes do not "live" in M_0, the classical
and quantum solutions are obtained if certain orthogonality relations on
parameters are imposed. Spherically-symmetric solutions with intersecting
non-extremal p-branes are singled out. A non-orthogonal generalization of
intersection rules corresponding to (open, closed) Toda lattices is obtained. A
chain of bosonic D > 11 models (that may be related to hypothetical higher
dimensional supergravities and F-theories) is suggested.
| [
{
"created": "Thu, 28 Aug 1997 19:08:33 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Ivashchuk",
"V. D.",
""
],
[
"Melnikov",
"V. N.",
""
]
] | Multidimensional cosmological model describing the evolution of n+1 Einstein spaces in the theory with several scalar fields and forms is considered. When a (electro-magnetic composite) p-brane Ansatz is adopted the field equations are reduced to the equations for Toda-like system. The Wheeler-De Witt equation is obtained. In the case when n "internal" spaces are Ricci-flat, one space M_0 has a non-zero curvature, and all p-branes do not "live" in M_0, the classical and quantum solutions are obtained if certain orthogonality relations on parameters are imposed. Spherically-symmetric solutions with intersecting non-extremal p-branes are singled out. A non-orthogonal generalization of intersection rules corresponding to (open, closed) Toda lattices is obtained. A chain of bosonic D > 11 models (that may be related to hypothetical higher dimensional supergravities and F-theories) is suggested. |
1303.2343 | Munir Al-Hashimi | M. H. Al-Hashimi, M. Salman, A. Shalaby, and U.-J. Wiese | Supersymmetric Descendants of Self-Adjointly Extended Quantum Mechanical
Hamiltonians | 31 pages, 10 figures | Annals of Physics, 17 May 2013 | 10.1016/j.aop.2013.06.002 | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the descendants of self-adjointly extended Hamiltonians in
supersymmetric quantum mechanics on a half-line, on an interval, and on a
punctured line or interval. While there is a 4-parameter family of
self-adjointly extended Hamiltonians on a punctured line, only a 3-parameter
sub-family has supersymmetric descendants that are themselves self-adjoint. We
also address the self-adjointness of an operator related to the supercharge,
and point out that only a sub-class of its most general self-adjoint extensions
is physical. Besides a general characterization of self-adjoint extensions and
their supersymmetric descendants, we explicitly consider concrete examples,
including a particle in a box with general boundary conditions, with and
without an additional point interaction. We also discuss bulk-boundary
resonances and their manifestation in the supersymmetric descendant.
| [
{
"created": "Sun, 10 Mar 2013 17:17:55 GMT",
"version": "v1"
}
] | 2015-06-15 | [
[
"Al-Hashimi",
"M. H.",
""
],
[
"Salman",
"M.",
""
],
[
"Shalaby",
"A.",
""
],
[
"Wiese",
"U. -J.",
""
]
] | We consider the descendants of self-adjointly extended Hamiltonians in supersymmetric quantum mechanics on a half-line, on an interval, and on a punctured line or interval. While there is a 4-parameter family of self-adjointly extended Hamiltonians on a punctured line, only a 3-parameter sub-family has supersymmetric descendants that are themselves self-adjoint. We also address the self-adjointness of an operator related to the supercharge, and point out that only a sub-class of its most general self-adjoint extensions is physical. Besides a general characterization of self-adjoint extensions and their supersymmetric descendants, we explicitly consider concrete examples, including a particle in a box with general boundary conditions, with and without an additional point interaction. We also discuss bulk-boundary resonances and their manifestation in the supersymmetric descendant. |
1009.4453 | Jan Gutowski | Jan B. Gutowski and W. A. Sabra | HKT Geometry and Fake Five Dimensional Supergravity | 14 pages, latex. Minor typos corrected, references added | Class.Quant.Grav.28:175023,2011 | 10.1088/0264-9381/28/17/175023 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recent results on the relation between hyper-Kahler geometry with torsion and
solutions admitting Killing spinors in minimal de sitter supergravity are
extended to more general supergravity models with vector multiplets.
| [
{
"created": "Wed, 22 Sep 2010 19:25:34 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Oct 2010 13:37:21 GMT",
"version": "v2"
},
{
"created": "Fri, 26 Aug 2011 21:47:36 GMT",
"version": "v3"
}
] | 2011-08-30 | [
[
"Gutowski",
"Jan B.",
""
],
[
"Sabra",
"W. A.",
""
]
] | Recent results on the relation between hyper-Kahler geometry with torsion and solutions admitting Killing spinors in minimal de sitter supergravity are extended to more general supergravity models with vector multiplets. |
1301.4980 | Henry Lamm IV | Henry Lamm, Tanmay Vachaspati | Numerical Exploration of Soliton Creation | 14 pages, 15 figures | null | 10.1103/PhysRevD.87.065018 | null | hep-th cond-mat.other physics.comp-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore the classical production of solitons in the easy axis O(3) model
in 1+1 dimensions, for a wide range of initial conditions that correspond to
the scattering of small breathers. We characterize the fractal nature of the
region in parameter space that leads to soliton production and find certain
trends in the data. We identify a tension in the initial conditions required
for soliton production - low velocity incoming breathers are more likely to
produce solitons, while high velocity incoming breathers provide momentum to
the final solitons and enable them to separate. We find new "counter-spinning"
initial conditions that can alleviate some of this tension.
| [
{
"created": "Mon, 21 Jan 2013 20:49:04 GMT",
"version": "v1"
}
] | 2013-06-11 | [
[
"Lamm",
"Henry",
""
],
[
"Vachaspati",
"Tanmay",
""
]
] | We explore the classical production of solitons in the easy axis O(3) model in 1+1 dimensions, for a wide range of initial conditions that correspond to the scattering of small breathers. We characterize the fractal nature of the region in parameter space that leads to soliton production and find certain trends in the data. We identify a tension in the initial conditions required for soliton production - low velocity incoming breathers are more likely to produce solitons, while high velocity incoming breathers provide momentum to the final solitons and enable them to separate. We find new "counter-spinning" initial conditions that can alleviate some of this tension. |
1408.6838 | Alessandra Cagnazzo | Alessandra Cagnazzo, Volker Schomerus, Vaclav Tlapak | On the Spectrum of Superspheres | null | null | 10.1007/JHEP03(2015)013 | DESY 14-151 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Sigma models on coset superspaces, such as odd dimensional superspheres, play
an important role in physics and in particular the AdS/CFT correspondence. In
this work we apply recent general results on the spectrum of coset space models
and on supergroup WZNW models to study the conformal sigma model with target
space S^{3|2}. We construct its vertex operators and provide explicit formulas
for their anomalous dimensions, at least to leading order in the sigma model
coupling. The results are used to revisit a non-perturbative duality between
the supersphere and the OSP(4|2) Gross-Neveu model that was conjectured by
Candu and Saleur. With the help of powerful all-loop results for 1/2 BPS
operators in the Gross-Neveu model we are able to recover the entire zero mode
spectrum of the sigma model at a certain finite value of the Gross-Neveu
coupling. In addition, we argue that the sigma model constraints and equations
of motion are implemented correctly in the dual Gross-Neveu description. On the
other hand, high(er) gradient operators of the sigma model are not all
accounted for. It is possible that this discrepancy is related to an
instability from high gradient operators that has previously been observed in
the context of Anderson localization.
| [
{
"created": "Thu, 28 Aug 2014 20:00:05 GMT",
"version": "v1"
}
] | 2015-06-22 | [
[
"Cagnazzo",
"Alessandra",
""
],
[
"Schomerus",
"Volker",
""
],
[
"Tlapak",
"Vaclav",
""
]
] | Sigma models on coset superspaces, such as odd dimensional superspheres, play an important role in physics and in particular the AdS/CFT correspondence. In this work we apply recent general results on the spectrum of coset space models and on supergroup WZNW models to study the conformal sigma model with target space S^{3|2}. We construct its vertex operators and provide explicit formulas for their anomalous dimensions, at least to leading order in the sigma model coupling. The results are used to revisit a non-perturbative duality between the supersphere and the OSP(4|2) Gross-Neveu model that was conjectured by Candu and Saleur. With the help of powerful all-loop results for 1/2 BPS operators in the Gross-Neveu model we are able to recover the entire zero mode spectrum of the sigma model at a certain finite value of the Gross-Neveu coupling. In addition, we argue that the sigma model constraints and equations of motion are implemented correctly in the dual Gross-Neveu description. On the other hand, high(er) gradient operators of the sigma model are not all accounted for. It is possible that this discrepancy is related to an instability from high gradient operators that has previously been observed in the context of Anderson localization. |
1601.05021 | Greger Torgrimsson | Anton Ilderton, Greger Torgrimsson | The worldline approach to helicity flip in plane waves | 11 pages, 1 figure | Phys. Rev. D 93, 085006 (2016) | 10.1103/PhysRevD.93.085006 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We apply worldline methods to the study of vacuum polarisation effects in
plane wave backgrounds, in both scalar and spinor QED. We calculate
helicity-flip probabilities to one loop order and treated exactly in the
background field, and provide a toolkit of methods for use in investigations of
higher-order processes. We also discuss the connections between the worldline,
S-matrix, and lightfront approaches to vacuum polarisation effects.
| [
{
"created": "Tue, 19 Jan 2016 17:58:01 GMT",
"version": "v1"
}
] | 2016-04-13 | [
[
"Ilderton",
"Anton",
""
],
[
"Torgrimsson",
"Greger",
""
]
] | We apply worldline methods to the study of vacuum polarisation effects in plane wave backgrounds, in both scalar and spinor QED. We calculate helicity-flip probabilities to one loop order and treated exactly in the background field, and provide a toolkit of methods for use in investigations of higher-order processes. We also discuss the connections between the worldline, S-matrix, and lightfront approaches to vacuum polarisation effects. |
1910.00036 | Rik van Breukelen | Rik van Breukelen | Black Hole State Dependence as a Single Parameter | Typo fixes | null | 10.1007/JHEP04(2020)210 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It has previously been proposed that the black hole interior of typical state
large black holes in AdS can be described using state-dependent operators. We
investigate the possibility that the interior can be described by explicit time
dependence, which reduces the state-dependence of the interior operators to a
single parameter. We also propose to use the natural cone, obtained from
Tomita-Takesaki theory, as a candidate construction for the interior operators.
| [
{
"created": "Mon, 30 Sep 2019 18:05:45 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Feb 2020 15:36:44 GMT",
"version": "v2"
},
{
"created": "Thu, 2 Apr 2020 11:42:12 GMT",
"version": "v3"
}
] | 2020-05-20 | [
[
"van Breukelen",
"Rik",
""
]
] | It has previously been proposed that the black hole interior of typical state large black holes in AdS can be described using state-dependent operators. We investigate the possibility that the interior can be described by explicit time dependence, which reduces the state-dependence of the interior operators to a single parameter. We also propose to use the natural cone, obtained from Tomita-Takesaki theory, as a candidate construction for the interior operators. |
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