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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1305.4251 | Diego Rubiera-Garcia | L. Losano, J. M. C. Malbouisson, D. Rubiera-Garcia, C. dos Santos | Deformation method for generalized Abelian Higgs-Chern-Simons models | 6 pages, 10 figures | Eur. Phys. Lett. 101 (2013) 31001 | 10.1209/0295-5075/101/31001 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present an extension of the deformation method applied to self-dual
solutions of generalized Abelian Higgs-Chern-Simons models. Starting from a
model defined by a potential $V(| \phi |)$ and a non-canonical kinetic term
$\omega(| \phi |) | D_{\mu}\phi |^2$ whose analytical domain wall solutions are
known, we show that this method allows to obtain an uncountable number of new
analytical solutions of new models defined by other functions $\widetilde{V}$
and $\widetilde{\omega}$. We present some examples of deformation functions
leading to new families of models and their associated analytic solutions.
| [
{
"created": "Sat, 18 May 2013 11:18:48 GMT",
"version": "v1"
}
] | 2013-05-21 | [
[
"Losano",
"L.",
""
],
[
"Malbouisson",
"J. M. C.",
""
],
[
"Rubiera-Garcia",
"D.",
""
],
[
"Santos",
"C. dos",
""
]
] | We present an extension of the deformation method applied to self-dual solutions of generalized Abelian Higgs-Chern-Simons models. Starting from a model defined by a potential $V(| \phi |)$ and a non-canonical kinetic term $\omega(| \phi |) | D_{\mu}\phi |^2$ whose analytical domain wall solutions are known, we show that this method allows to obtain an uncountable number of new analytical solutions of new models defined by other functions $\widetilde{V}$ and $\widetilde{\omega}$. We present some examples of deformation functions leading to new families of models and their associated analytic solutions. |
hep-th/0511045 | Luca Martucci | A. L. Cotrone, L. Martucci and W. Troost | String splitting and strong coupling meson decay | 17 pages, 2 figures. V2: References added. V3: Minor corrections | Phys.Rev.Lett. 96 (2006) 141601 | 10.1103/PhysRevLett.96.141601 | KUL-TF-05/25, UB-ECM-PF-05/27 | hep-th hep-ph | null | We study the decay of high spin mesons using the gauge/string theory
correspondence. The rate of the process is calculated by studying the splitting
of a macroscopic string intersecting a D-brane. The result is applied to the
decay of mesons in N=4 SYM with a small number of flavors and in a gravity dual
of large N QCD. In QCD the decay of high spin mesons is found to be heavily
suppressed in the regime of validity of the supergravity description.
| [
{
"created": "Thu, 3 Nov 2005 18:42:51 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Nov 2005 13:29:33 GMT",
"version": "v2"
},
{
"created": "Thu, 6 Jul 2006 13:25:26 GMT",
"version": "v3"
}
] | 2009-11-11 | [
[
"Cotrone",
"A. L.",
""
],
[
"Martucci",
"L.",
""
],
[
"Troost",
"W.",
""
]
] | We study the decay of high spin mesons using the gauge/string theory correspondence. The rate of the process is calculated by studying the splitting of a macroscopic string intersecting a D-brane. The result is applied to the decay of mesons in N=4 SYM with a small number of flavors and in a gravity dual of large N QCD. In QCD the decay of high spin mesons is found to be heavily suppressed in the regime of validity of the supergravity description. |
1412.8209 | Ergin Sezgin | Nicolas Boulanger, Dmitry Ponomarev, Ergin Sezgin and Per Sundell | New Unfolded Higher Spin Systems in $AdS_3$ | 29 pages, discussion of fractional spins revised, clarifying remarks
added and typos corrected in v2. Reference added in v3 | null | 10.1088/0264-9381/32/15/155002 | LMU-ASC 73/14, MIFPA-14-40 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the unfolded formulation of bosonic Lorentz tensor fields of
arbitrary spin in $AdS_3$ containing a parity breaking mass parameter. They
include deformations of the linearisations of the Prokushkin--Vasiliev higher
spin theory around its critical points. They also provide unfolded formulations
of linearized topologically massive higher spin fields including their critical
versions. The gauge invariant degrees of freedom are captured by infinite
towers of zero forms. We also introduce two inequivalent sets of gauge
potentials given by trace constrained Fronsdal fields and trace unconstrained
metric-like fields.
| [
{
"created": "Sun, 28 Dec 2014 20:54:59 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Jan 2015 20:55:08 GMT",
"version": "v2"
},
{
"created": "Fri, 29 Jan 2016 03:55:18 GMT",
"version": "v3"
}
] | 2016-02-01 | [
[
"Boulanger",
"Nicolas",
""
],
[
"Ponomarev",
"Dmitry",
""
],
[
"Sezgin",
"Ergin",
""
],
[
"Sundell",
"Per",
""
]
] | We investigate the unfolded formulation of bosonic Lorentz tensor fields of arbitrary spin in $AdS_3$ containing a parity breaking mass parameter. They include deformations of the linearisations of the Prokushkin--Vasiliev higher spin theory around its critical points. They also provide unfolded formulations of linearized topologically massive higher spin fields including their critical versions. The gauge invariant degrees of freedom are captured by infinite towers of zero forms. We also introduce two inequivalent sets of gauge potentials given by trace constrained Fronsdal fields and trace unconstrained metric-like fields. |
1204.6626 | Michael R. Douglas | Michael R. Douglas (Simons Center / YITP Stony Brook) | The string landscape and low energy supersymmetry | 27 pp, ws-rv9x6.cls (included) v2: improved section 6 | null | 10.1142/9789814412551_0012 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We briefly survey our present understanding of the string landscape, and use
it to discuss the chances that we will see low energy supersymmetry at the LHC.
| [
{
"created": "Mon, 30 Apr 2012 13:29:47 GMT",
"version": "v1"
},
{
"created": "Thu, 3 May 2012 16:02:21 GMT",
"version": "v2"
}
] | 2017-08-23 | [
[
"Douglas",
"Michael R.",
"",
"Simons Center / YITP Stony Brook"
]
] | We briefly survey our present understanding of the string landscape, and use it to discuss the chances that we will see low energy supersymmetry at the LHC. |
hep-th/0005030 | Tadahito Nakajima | Tadahito Nakajima | A Yang-Mills Theory in Loop Space and Generalized Chapline-Manton
Coupling | 28 pages, Latex, no figures, references added, revised version with
minor changes to appear in Prog.Theor.Phys | Prog.Theor.Phys. 106 (2001) 419-443 | 10.1143/PTP.106.419 | null | hep-th | null | We consider a Yang-Mills theory in loop space with an affine Lie gauge group.
The Chapline-Manton coupling, the coupling between Yang-Mills fields and an
abelian antisymmetric tensor field of second rank via the Chern-Simons term, is
systematically derived within the framework of the Yang-Mills theory. The
generalized Chapline-Manton couplings, the couplings among non-abelian tensor
fields of second rank, Yang-Mills fields, and an abelian tensor field of third
rank, are also derived by applying the non-linear realization method to the
Yang-Mills theory. These couplings are accompanied by {\it BF}-like terms.
| [
{
"created": "Wed, 3 May 2000 14:14:42 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Sep 2001 03:26:18 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Nakajima",
"Tadahito",
""
]
] | We consider a Yang-Mills theory in loop space with an affine Lie gauge group. The Chapline-Manton coupling, the coupling between Yang-Mills fields and an abelian antisymmetric tensor field of second rank via the Chern-Simons term, is systematically derived within the framework of the Yang-Mills theory. The generalized Chapline-Manton couplings, the couplings among non-abelian tensor fields of second rank, Yang-Mills fields, and an abelian tensor field of third rank, are also derived by applying the non-linear realization method to the Yang-Mills theory. These couplings are accompanied by {\it BF}-like terms. |
1309.6794 | Bom Soo Kim | Carlos Hoyos, Bom Soo Kim and Yaron Oz | Lifshitz Field Theories at Non-Zero Temperature, Hydrodynamics and
Gravity | v2, 38 pages, improved discussion of dissipative terms, published
version | JHEP03(2014)029 | 10.1007/JHEP03(2014)029 | TAUP-2976/13 | hep-th cond-mat.stat-mech cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a covariant formulation of field theories with Lifshitz scaling,
and analyze the energy-momentum tensor and the scale symmetry Ward identity. We
derive the equation of state and the ideal Lifshitz hydrodynamics in agreement
with arXiv:1304.7481, where they were determined by using thermodynamics and
symmetry properties. We construct the charged ideal Lifshitz hydrodynamics in
the generating functional framework as well as in the gravitational holographic
dual description. At the first viscous order, an analysis of the entropy
current reveals two additional transport coefficients (one dissipative and one
dissipationless) compared to the neutral case, contributing to the charge
current and to the asymmetric part of the energy-momentum tensor.
| [
{
"created": "Thu, 26 Sep 2013 11:03:46 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Mar 2014 16:33:04 GMT",
"version": "v2"
}
] | 2014-03-12 | [
[
"Hoyos",
"Carlos",
""
],
[
"Kim",
"Bom Soo",
""
],
[
"Oz",
"Yaron",
""
]
] | We consider a covariant formulation of field theories with Lifshitz scaling, and analyze the energy-momentum tensor and the scale symmetry Ward identity. We derive the equation of state and the ideal Lifshitz hydrodynamics in agreement with arXiv:1304.7481, where they were determined by using thermodynamics and symmetry properties. We construct the charged ideal Lifshitz hydrodynamics in the generating functional framework as well as in the gravitational holographic dual description. At the first viscous order, an analysis of the entropy current reveals two additional transport coefficients (one dissipative and one dissipationless) compared to the neutral case, contributing to the charge current and to the asymmetric part of the energy-momentum tensor. |
1007.4367 | Kai-Nan Shao | Yi-Xin Chen, Kai-Nan Shao | Invariance of the Hamilton-Jacobi tunneling method for black holes and
FRW model | 15 pages, typos corrected, references added | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we revisit the topic of Hawking radiation as tunneling. We show
that the imaginary part of the action of the tunneling particle should be
reconstructed in a covariant way, as a line integral along the classical
forbidden trajectory of tunneling particles. As the quantum tunneling
phenomenon, the probability of tunneling is related to the imaginary part of
the action for the classical forbidden trajectory. We do the calculations for
massless and massive particles, in Schwarzschild coordinate and Painlev\'e
coordinate. The construction of particle action is invariant under coordinate
transformations, so this method of calculation black hole tunneling does not
have the so called "factor 2 problem". As an application, we find that the
temperature of Hawking temperature of apparent horizon in a FRW universe is
$T=\frac{\kappa}{2\pi}$. Based on this result, we briefly discuss the unified
first law of apparent horizon in FRW universe.
| [
{
"created": "Mon, 26 Jul 2010 01:50:38 GMT",
"version": "v1"
},
{
"created": "Sat, 31 Jul 2010 08:02:58 GMT",
"version": "v2"
}
] | 2016-11-27 | [
[
"Chen",
"Yi-Xin",
""
],
[
"Shao",
"Kai-Nan",
""
]
] | In this paper we revisit the topic of Hawking radiation as tunneling. We show that the imaginary part of the action of the tunneling particle should be reconstructed in a covariant way, as a line integral along the classical forbidden trajectory of tunneling particles. As the quantum tunneling phenomenon, the probability of tunneling is related to the imaginary part of the action for the classical forbidden trajectory. We do the calculations for massless and massive particles, in Schwarzschild coordinate and Painlev\'e coordinate. The construction of particle action is invariant under coordinate transformations, so this method of calculation black hole tunneling does not have the so called "factor 2 problem". As an application, we find that the temperature of Hawking temperature of apparent horizon in a FRW universe is $T=\frac{\kappa}{2\pi}$. Based on this result, we briefly discuss the unified first law of apparent horizon in FRW universe. |
2203.05020 | Dragoljub Go\v{c}anin | Du\v{s}an {\DJ}or{\dj}evi\'c and Dragoljub Go\v{c}anin | Noncommutative $D=5$ Chern-Simons Gravity: Kaluza-Klein Reduction and
Chiral Gravitational Anomaly | 13 pages + appendix; augmented by additional comments, typos
corrected, references added; corresponds to the published version | Eur. Phys. J. C 82, 672 (2022) | 10.1140/epjc/s10052-022-10657-7 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Actions for noncommutative (NC) gauge field theories can be expanded
perturbatively in powers of the noncommutativity parameter $\theta$ using the
Seiberg-Witten map between ordinary classical fields and their NC counterparts.
The leading order term represents classical ($\theta=0$) action while
higher-order terms give us $\theta$-dependent NC corrections that ought to
capture some aspects of quantum gravity. Building on previous work of Aschieri
and Castellani on NC Chern-Simons (CS) gauge and gravity theories, showing that
non-trivial $\theta$-dependence exists only for spacetime dimensions $D\geq 5$,
we investigate a correlated effect of these extra spatial dimensions and
noncommutativity on four-dimensional physics, up to first-order in $\theta$.
Assuming that one spatial dimension is compactified into a circle, we apply the
Kaluza-Klein reduction procedure on the NC $D=5$ CS theory for the conformal
gauge group $SO(4,2)$, to obtain an effective, $\theta$-dependent
four-dimensional theory of gravity that has Einstein-Hilbert gravity with
negative cosmological constant as its commutative limit. We derive field
equations for this modified theory of gravity and study the effect of NC
interactions on some classical geometries, such as the AdS-Schwarzschild black
hole. We find that this NC background spacetime gives rise to chiral
gravitational anomaly due to the nonvanishing $\theta$-dependent Pontryagin
density.
| [
{
"created": "Thu, 17 Feb 2022 17:17:01 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Mar 2022 14:57:41 GMT",
"version": "v2"
},
{
"created": "Mon, 8 Aug 2022 14:57:03 GMT",
"version": "v3"
},
{
"created": "Tue, 9 Aug 2022 02:13:44 GMT",
"version": "v4"
}
] | 2022-08-10 | [
[
"Đorđević",
"Dušan",
""
],
[
"Gočanin",
"Dragoljub",
""
]
] | Actions for noncommutative (NC) gauge field theories can be expanded perturbatively in powers of the noncommutativity parameter $\theta$ using the Seiberg-Witten map between ordinary classical fields and their NC counterparts. The leading order term represents classical ($\theta=0$) action while higher-order terms give us $\theta$-dependent NC corrections that ought to capture some aspects of quantum gravity. Building on previous work of Aschieri and Castellani on NC Chern-Simons (CS) gauge and gravity theories, showing that non-trivial $\theta$-dependence exists only for spacetime dimensions $D\geq 5$, we investigate a correlated effect of these extra spatial dimensions and noncommutativity on four-dimensional physics, up to first-order in $\theta$. Assuming that one spatial dimension is compactified into a circle, we apply the Kaluza-Klein reduction procedure on the NC $D=5$ CS theory for the conformal gauge group $SO(4,2)$, to obtain an effective, $\theta$-dependent four-dimensional theory of gravity that has Einstein-Hilbert gravity with negative cosmological constant as its commutative limit. We derive field equations for this modified theory of gravity and study the effect of NC interactions on some classical geometries, such as the AdS-Schwarzschild black hole. We find that this NC background spacetime gives rise to chiral gravitational anomaly due to the nonvanishing $\theta$-dependent Pontryagin density. |
1105.3001 | Ian McArthur | S.M. Kuzenko and I.N. McArthur | Goldstino superfields for spontaneously broken N=2 supersymmetry | 20 pages, typos corrected, comments added | null | 10.1007/JHEP06(2011)133 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We examine spontaneously broken N=2 supersymmetry in four dimensions and
associate a spinor superfield with each Goldstino via a finite supersymmetry
transformation with parameters that are the Grassmann coordinates of N=2
superspace. Making use of a special choice of coset parametrization allows us
to develop a version of nonlinearly realized N=2 supersymmetry for which the
associated Goldstino superfields are defined on harmonic superspace, thereby
providing a natural mechanism for construction of a Goldstino action. The
corresponding superfield Lagrangian is an O(4) multiplet. This property is used
to reformulate the Goldstino action in projective superspace and in
conventional N=2 superspace. We show how to generate matter couplings of the
Goldstinos to supersymmetric matter using the N=2 harmonic, projective and full
superspaces. As a bi-product of our consideration, we also derive an N=2 chiral
Goldstino action.
| [
{
"created": "Mon, 16 May 2011 04:52:53 GMT",
"version": "v1"
},
{
"created": "Mon, 23 May 2011 04:00:40 GMT",
"version": "v2"
}
] | 2015-05-28 | [
[
"Kuzenko",
"S. M.",
""
],
[
"McArthur",
"I. N.",
""
]
] | We examine spontaneously broken N=2 supersymmetry in four dimensions and associate a spinor superfield with each Goldstino via a finite supersymmetry transformation with parameters that are the Grassmann coordinates of N=2 superspace. Making use of a special choice of coset parametrization allows us to develop a version of nonlinearly realized N=2 supersymmetry for which the associated Goldstino superfields are defined on harmonic superspace, thereby providing a natural mechanism for construction of a Goldstino action. The corresponding superfield Lagrangian is an O(4) multiplet. This property is used to reformulate the Goldstino action in projective superspace and in conventional N=2 superspace. We show how to generate matter couplings of the Goldstinos to supersymmetric matter using the N=2 harmonic, projective and full superspaces. As a bi-product of our consideration, we also derive an N=2 chiral Goldstino action. |
hep-th/9803209 | Kasper Peeters | Bernard de Wit, Kasper Peeters, Jan Plefka | Superspace Geometry for Supermembrane Backgrounds | LaTeX, 27 pages. v2: typos corrected, abstract extended,
acknowledgement added | Nucl.Phys. B532 (1998) 99-123 | 10.1016/S0550-3213(98)00445-3 | THU-98/13, NIKHEF 98-006 | hep-th | null | We construct part of the superspace vielbein and tensor gauge field in terms
of the component fields of 11-dimensional on-shell supergravity. The result can
be utilized to describe supermembranes and corresponding matrix models for
Dirichlet particles in nontrivial supergravity backgrounds to second order in
anticommuting coordinates. We exhibit the kappa-invariance of the corresponding
supermembrane action, which at this order holds for unrestricted supergravity
backgrounds, the supersymmetry covariance and the resulting surface terms in
the action.
| [
{
"created": "Wed, 25 Mar 1998 23:27:33 GMT",
"version": "v1"
},
{
"created": "Wed, 6 May 1998 14:57:09 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"de Wit",
"Bernard",
""
],
[
"Peeters",
"Kasper",
""
],
[
"Plefka",
"Jan",
""
]
] | We construct part of the superspace vielbein and tensor gauge field in terms of the component fields of 11-dimensional on-shell supergravity. The result can be utilized to describe supermembranes and corresponding matrix models for Dirichlet particles in nontrivial supergravity backgrounds to second order in anticommuting coordinates. We exhibit the kappa-invariance of the corresponding supermembrane action, which at this order holds for unrestricted supergravity backgrounds, the supersymmetry covariance and the resulting surface terms in the action. |
hep-th/9909122 | Sung-Kil Yang | Mitsuaki Fukae, Yasuhiko Yamada, Sung-Kil Yang | Mordell-Weil Lattice via String Junctions | 35 pages, Latex, 3 figures | Nucl.Phys. B572 (2000) 71-94 | 10.1016/S0550-3213(00)00013-4 | UTHEP-408 | hep-th | null | We analyze the structure of singularities, Mordell-Weil lattices and torsions
of a rational elliptic surface using string junctions in the background of 12
7-branes. The classification of the Mordell-Weil lattices due to Oguiso-Shioda
is reproduced in terms of the junction lattice. In this analysis an important
role played by the global structure of the surface is observed. It is then
found that the torsions in the Mordell-Weil group are generated by the fraction
of loop junctions which represent the imaginary roots of the loop algebra $\hat
E_9$. From the structure of the Mordell-Weil lattice we find 7-brane
configurations which support non-BPS junctions carrying conserved Abelian
charges.
| [
{
"created": "Fri, 17 Sep 1999 07:06:25 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Fukae",
"Mitsuaki",
""
],
[
"Yamada",
"Yasuhiko",
""
],
[
"Yang",
"Sung-Kil",
""
]
] | We analyze the structure of singularities, Mordell-Weil lattices and torsions of a rational elliptic surface using string junctions in the background of 12 7-branes. The classification of the Mordell-Weil lattices due to Oguiso-Shioda is reproduced in terms of the junction lattice. In this analysis an important role played by the global structure of the surface is observed. It is then found that the torsions in the Mordell-Weil group are generated by the fraction of loop junctions which represent the imaginary roots of the loop algebra $\hat E_9$. From the structure of the Mordell-Weil lattice we find 7-brane configurations which support non-BPS junctions carrying conserved Abelian charges. |
hep-th/0412102 | Gil Schieber | D. Hammaoui (LPTP), G. Schieber (CBPF, LPTP), E.H. Tahri (LPTP) | Higher Coxeter graphs associated to affine su(3) modular invariants | Version 2. Abstract, introduction and conclusion rewritten,
references added. 36 pages | J.Phys. A38 (2005) 8259 | 10.1088/0305-4470/38/38/007 | null | hep-th math-ph math.MP | null | The affine $su(3)$ modular invariant partition functions in 2d RCFT are
associated with a set of generalized Coxeter graphs. These partition functions
fall into two classes, the block-diagonal (Type I) and the non block-diagonal
(Type II) cases, associated, from spectral properties, to the subsets of
subgroup and module graphs respectively. We introduce a modular operator
$\hat{T}$ taking values on the set of vertices of the subgroup graphs. It
allows us to obtain easily the associated Type I partition functions. We also
show that all Type II partition functions are obtained by the action of
suitable twists $\vartheta$ on the set of vertices of the subgroup graphs.
These twists have to preserve the values of the modular operator $\hat{T}$.
| [
{
"created": "Fri, 10 Dec 2004 09:17:30 GMT",
"version": "v1"
},
{
"created": "Fri, 6 May 2005 06:58:51 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Hammaoui",
"D.",
"",
"LPTP"
],
[
"Schieber",
"G.",
"",
"CBPF, LPTP"
],
[
"Tahri",
"E. H.",
"",
"LPTP"
]
] | The affine $su(3)$ modular invariant partition functions in 2d RCFT are associated with a set of generalized Coxeter graphs. These partition functions fall into two classes, the block-diagonal (Type I) and the non block-diagonal (Type II) cases, associated, from spectral properties, to the subsets of subgroup and module graphs respectively. We introduce a modular operator $\hat{T}$ taking values on the set of vertices of the subgroup graphs. It allows us to obtain easily the associated Type I partition functions. We also show that all Type II partition functions are obtained by the action of suitable twists $\vartheta$ on the set of vertices of the subgroup graphs. These twists have to preserve the values of the modular operator $\hat{T}$. |
hep-th/0311101 | Anton Kapustin | Anton Kapustin, Yi Li | Stability Conditions For Topological D-branes: A Worldsheet Approach | 8 pages, latex | null | null | null | hep-th math.AG math.DG math.SG | null | We study conditions on the topological D-branes of types A and B obtained by
requiring a proper matching of the spectral flow operators on the boundary.
These conditions ensure space-time supersymmetry and stability of D-branes. In
most cases, we reproduce the results of Marino-Minasian-Moore-Strominger, who
studied the same problem using the supersymmetric Born-Infeld action. In some
other cases, corresponding to coisotropic A-branes, our stability condition is
new. Our results enable us to define an analogue of the Maslov class and
grading for coisotropic A-branes. We expect that they play a role in a
conjectural generalization of the Floer homology.
| [
{
"created": "Wed, 12 Nov 2003 06:11:17 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Kapustin",
"Anton",
""
],
[
"Li",
"Yi",
""
]
] | We study conditions on the topological D-branes of types A and B obtained by requiring a proper matching of the spectral flow operators on the boundary. These conditions ensure space-time supersymmetry and stability of D-branes. In most cases, we reproduce the results of Marino-Minasian-Moore-Strominger, who studied the same problem using the supersymmetric Born-Infeld action. In some other cases, corresponding to coisotropic A-branes, our stability condition is new. Our results enable us to define an analogue of the Maslov class and grading for coisotropic A-branes. We expect that they play a role in a conjectural generalization of the Floer homology. |
1004.4211 | Valentyn Kucheryavy I. | V.I.Kucheryavy | Self-consistent renormalization as an efficient realization of main
ideas of the Bogoliubov-Parasiuk R-operation | 17 pages, ujp.sty | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | By self-consistent renormalization (SCR) it is meant that all formal
relations between UV-divergent Feynman amplitudes are automatically retained as
well as between their regular values obtained in the framework of the SCR. The
SCR is efficiently applicable on equal grounds both to renormalizable and
nonrenormalizable theories. SCR furnishes new means for the constructive
treatment of new subjects: i) UV-divergence problems associated with
symmetries, Ward identities, and quantum anomalies; ii) new relations between
finite bare and finite physical parameters of quantum field theories. The aim
of this paper is to describe main ideas and properties of the SCR and clearly
to describe three mutually complementary algorithms of the SCR that are
presented in the form maximally suited for practical applications.
| [
{
"created": "Fri, 23 Apr 2010 19:47:48 GMT",
"version": "v1"
}
] | 2010-04-26 | [
[
"Kucheryavy",
"V. I.",
""
]
] | By self-consistent renormalization (SCR) it is meant that all formal relations between UV-divergent Feynman amplitudes are automatically retained as well as between their regular values obtained in the framework of the SCR. The SCR is efficiently applicable on equal grounds both to renormalizable and nonrenormalizable theories. SCR furnishes new means for the constructive treatment of new subjects: i) UV-divergence problems associated with symmetries, Ward identities, and quantum anomalies; ii) new relations between finite bare and finite physical parameters of quantum field theories. The aim of this paper is to describe main ideas and properties of the SCR and clearly to describe three mutually complementary algorithms of the SCR that are presented in the form maximally suited for practical applications. |
hep-th/9111039 | null | H. Itoyama | Matrix Models at Finite N | 13 pages (based on the talk given at the conference ``Strings and
Symmetries 1991'' at Stony Brook, May 20-25, 1991.) | null | null | null | hep-th | null | We summarize some aspects of matrix models from the approaches directly based
on their properties at finite N.
| [
{
"created": "Wed, 20 Nov 1991 23:28:00 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Itoyama",
"H.",
""
]
] | We summarize some aspects of matrix models from the approaches directly based on their properties at finite N. |
hep-th/9307110 | Yaroslav P. Pugay | Ya.P.Pugay | Notes on $WGL_n$-Algebras and Quantum Miura Transformation | Landau-tmp-4-93, 15 pages, Tex (vanilla.sty) | Int. J. Mod. Phys. A8 (1993) 5023-5039 | 10.1142/S0217751X93001971 | null | hep-th | null | We start from the quantum Miura transformation [7] for the $W$-algebra
associated with $GL(n)$ group and find an evident formula for quantum
L-operator as well as for the action of $W_l$ currents (l=1,..,n) on elements
of the completely degenerated n-dimensional representation. Quantum formulae
are obtained through the deformation of the pseudodifferential symbols. This
deformation is independent of $n$ and preserves Adler's trace. Our main
instrument of the proof is the notation of pseudodifferential symbol with right
action which has no counterpart in classical theory.
| [
{
"created": "Sat, 17 Jul 1993 13:29:07 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Pugay",
"Ya. P.",
""
]
] | We start from the quantum Miura transformation [7] for the $W$-algebra associated with $GL(n)$ group and find an evident formula for quantum L-operator as well as for the action of $W_l$ currents (l=1,..,n) on elements of the completely degenerated n-dimensional representation. Quantum formulae are obtained through the deformation of the pseudodifferential symbols. This deformation is independent of $n$ and preserves Adler's trace. Our main instrument of the proof is the notation of pseudodifferential symbol with right action which has no counterpart in classical theory. |
2307.04748 | Christopher Hull | C.M. Hull | Covariant Action for Self-Dual p-Form Gauge Fields in General Spacetimes | 77 pages. Additional material on interactions added | null | null | Imperial-TP-2023-CH-02 | hep-th | http://creativecommons.org/licenses/by/4.0/ | Sen's action for a $p$-form gauge field with self-dual field strength coupled
to a spacetime metric $g$ involves an explicit Minkowski metric and the
presence of this raises questions as to whether the action is coordinate
independent and whether it can be used on a general spacetime manifold. A
natural generalisation of Sen's action is presented in which the Minkowski
metric is replaced by a second metric $\bar g$ on spacetime. The theory is
covariant and can be formulated on any spacetime. The theory describes a
physical sector, consisting of the chiral $p$-form gauge field coupled to the
dynamical metric $g$, plus a shadow sector consisting of a second chiral
$p$-form and the second metric $\bar g$. The fields in this shadow sector only
couple to each other and have no interactions with the physical sector, so that
they decouple from the physical sector. The resulting theory is covariant and
can be formulated on any spacetime. Explicit expressions are found for the
interactions and extensions to include interactions with other physical fields
or higher-derivative field equations are given. A spacetime with two metrics
has some interesting geometry and some of this is explored here and used in the
construction of the interactions.The action has two diffeomorphism-like
symmetries, one acting only on the physical sector and one acting only on the
shadow sector, with the spacetime diffeomorphism symmetry arising as the
diagonal subgroup. This allows a further generalisation in which $\bar g$ is
not a tensor field but is instead a gauge field whose transition functions
involve the usual coordinate transformation together with a shadow sector gauge
transformation.
| [
{
"created": "Mon, 10 Jul 2023 17:54:00 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Feb 2024 17:27:12 GMT",
"version": "v2"
}
] | 2024-02-08 | [
[
"Hull",
"C. M.",
""
]
] | Sen's action for a $p$-form gauge field with self-dual field strength coupled to a spacetime metric $g$ involves an explicit Minkowski metric and the presence of this raises questions as to whether the action is coordinate independent and whether it can be used on a general spacetime manifold. A natural generalisation of Sen's action is presented in which the Minkowski metric is replaced by a second metric $\bar g$ on spacetime. The theory is covariant and can be formulated on any spacetime. The theory describes a physical sector, consisting of the chiral $p$-form gauge field coupled to the dynamical metric $g$, plus a shadow sector consisting of a second chiral $p$-form and the second metric $\bar g$. The fields in this shadow sector only couple to each other and have no interactions with the physical sector, so that they decouple from the physical sector. The resulting theory is covariant and can be formulated on any spacetime. Explicit expressions are found for the interactions and extensions to include interactions with other physical fields or higher-derivative field equations are given. A spacetime with two metrics has some interesting geometry and some of this is explored here and used in the construction of the interactions.The action has two diffeomorphism-like symmetries, one acting only on the physical sector and one acting only on the shadow sector, with the spacetime diffeomorphism symmetry arising as the diagonal subgroup. This allows a further generalisation in which $\bar g$ is not a tensor field but is instead a gauge field whose transition functions involve the usual coordinate transformation together with a shadow sector gauge transformation. |
1907.00154 | Jan Govaerts | Jan Govaerts (Universit\'e catholique de Louvain, UCLouvain,
Louvain-la-Neuve, Belgium) | Time Dependent Conserved Charges and their Gauging -- A Modest Case
Study in Shared Memory of Victor -- | 1+12 pages, Published in the Proceedings volume of the Victor
Villanueva Memorial Workshop, Morelia, Mexico, December 6, 2013, Adnan Bashir
and Christian Schubert (eds.), J. Phys. Conf. Ser. 1208 (2019) no. 1, 012011 | J. Phys. Conf. Ser. 1208 (2019) 012011 | 10.1088/1742-6596/1208/1/012011 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | There exist instances of dynamical systems possessing symmetry
transformations of which the conserved Noether charges generating these
symmetries feature an explicit time dependence in their functional
representation over phase space. The generators of such symmetries certainly do
not commute with the Hamiltonian, and yet these charges are conserved
observables for the classical and quantised dynamics. Furthermore within the
Hamiltonian formalism and in the case of global symmetries such charges may be
gauged to allow for arbitrary time dependent symmetry transformations, simply
by extending the Hamiltonian to include the Noether charges as first-class
constraints. An explicit illustration of these issues is presented in a simple
and most familiar model that applies also to the constant gravitational force.
This note draws its primary motivation from the quest towards a theory for
quantum gravity, in wanting to understand better the tension existing between
the local Equivalence Principle of the gravitational interaction and the
fundamental principles of Quantum Mechanics by considering the formulation of
quantum systems relative to reference frames that are inertial or noninertial,
and thus accelerated relative to one another through arbitrary time dependent
spatial translations.
| [
{
"created": "Sat, 29 Jun 2019 06:30:01 GMT",
"version": "v1"
}
] | 2019-07-02 | [
[
"Govaerts",
"Jan",
"",
"Université catholique de Louvain, UCLouvain,\n Louvain-la-Neuve, Belgium"
]
] | There exist instances of dynamical systems possessing symmetry transformations of which the conserved Noether charges generating these symmetries feature an explicit time dependence in their functional representation over phase space. The generators of such symmetries certainly do not commute with the Hamiltonian, and yet these charges are conserved observables for the classical and quantised dynamics. Furthermore within the Hamiltonian formalism and in the case of global symmetries such charges may be gauged to allow for arbitrary time dependent symmetry transformations, simply by extending the Hamiltonian to include the Noether charges as first-class constraints. An explicit illustration of these issues is presented in a simple and most familiar model that applies also to the constant gravitational force. This note draws its primary motivation from the quest towards a theory for quantum gravity, in wanting to understand better the tension existing between the local Equivalence Principle of the gravitational interaction and the fundamental principles of Quantum Mechanics by considering the formulation of quantum systems relative to reference frames that are inertial or noninertial, and thus accelerated relative to one another through arbitrary time dependent spatial translations. |
1708.08701 | Yong Zhang | Xiangrui Gao, Song He, Yong Zhang | Labelled tree graphs, Feynman diagrams and disk integrals | 30+8 pages, many figures;typos fixed | null | 10.1007/JHEP11(2017)144 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note, we introduce and study a new class of "half integrands" in
Cachazo-He-Yuan (CHY) formula, which naturally generalize the so-called
Parke-Taylor factors; these are dubbed Cayley functions as each of them
corresponds to a labelled tree graph. The CHY formula with a Cayley function
squared gives a sum of Feynman diagrams, and we represent it by a combinatoric
polytope whose vertices correspond to Feynman diagrams. We provide a simple
graphic rule to derive the polytope from a labelled tree graph, and classify
such polytopes ranging from the associahedron to the permutohedron.
Furthermore, we study the linear space of such half integrands and find (1) a
nice formula reducing any Cayley function to a sum of Parke-Taylor factors in
the Kleiss-Kuijf basis (2) a set of Cayley functions as a new basis of the
space; each element has the remarkable property that its CHY formula with a
given Parke-Taylor factor gives either a single Feynman diagram or zero. We
also briefly discuss applications of Cayley functions and the new basis in
certain disk integrals of superstring theory.
| [
{
"created": "Tue, 29 Aug 2017 11:24:46 GMT",
"version": "v1"
},
{
"created": "Sun, 17 Sep 2017 14:52:02 GMT",
"version": "v2"
},
{
"created": "Sat, 14 Oct 2017 02:25:18 GMT",
"version": "v3"
}
] | 2018-01-17 | [
[
"Gao",
"Xiangrui",
""
],
[
"He",
"Song",
""
],
[
"Zhang",
"Yong",
""
]
] | In this note, we introduce and study a new class of "half integrands" in Cachazo-He-Yuan (CHY) formula, which naturally generalize the so-called Parke-Taylor factors; these are dubbed Cayley functions as each of them corresponds to a labelled tree graph. The CHY formula with a Cayley function squared gives a sum of Feynman diagrams, and we represent it by a combinatoric polytope whose vertices correspond to Feynman diagrams. We provide a simple graphic rule to derive the polytope from a labelled tree graph, and classify such polytopes ranging from the associahedron to the permutohedron. Furthermore, we study the linear space of such half integrands and find (1) a nice formula reducing any Cayley function to a sum of Parke-Taylor factors in the Kleiss-Kuijf basis (2) a set of Cayley functions as a new basis of the space; each element has the remarkable property that its CHY formula with a given Parke-Taylor factor gives either a single Feynman diagram or zero. We also briefly discuss applications of Cayley functions and the new basis in certain disk integrals of superstring theory. |
2103.12108 | Parthiv Haldar | Parthiv Haldar, Aninda Sinha, and Ahmadullah Zahed | Quantum field theory and the Bieberbach conjecture | v4: 34 pages, clarification added, typos fixed, final published
version | SciPost Phys. 11, 002 (2021) | 10.21468/SciPostPhys.11.1.002 | null | hep-th math-ph math.CV math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An intriguing correspondence between ingredients in geometric function theory
related to the famous Bieberbach conjecture (de Branges' theorem) and the
non-perturbative crossing symmetric representation of 2-2 scattering amplitudes
of identical scalars is pointed out. Using the dispersion relation and
unitarity, we are able to derive several inequalities, analogous to those which
arise in the discussions of the Bieberbach conjecture. We derive new and strong
bounds on the ratio of certain Wilson coefficients and demonstrate that these
are obeyed in one-loop $\phi^4$ theory, tree level string theory as well as in
the S-matrix bootstrap. Further, we find two sided bounds on the magnitude of
the scattering amplitude, which are shown to be respected in all the contexts
mentioned above. Translated to the usual Mandelstam variables, for large $|s|$,
fixed $t$, the upper bound reads $|\mathcal{M}(s,t)|\lesssim |s^2|$. We discuss
how Szeg\"{o}'s theorem corresponds to a check of univalence in an EFT
expansion, while how the Grunsky inequalities translate into nontrivial,
nonlinear inequalities on the Wilson coefficients.
| [
{
"created": "Mon, 22 Mar 2021 18:08:47 GMT",
"version": "v1"
},
{
"created": "Sun, 4 Apr 2021 13:16:57 GMT",
"version": "v2"
},
{
"created": "Thu, 22 Apr 2021 14:32:08 GMT",
"version": "v3"
},
{
"created": "Thu, 8 Jul 2021 13:44:44 GMT",
"version": "v4"
}
] | 2021-07-09 | [
[
"Haldar",
"Parthiv",
""
],
[
"Sinha",
"Aninda",
""
],
[
"Zahed",
"Ahmadullah",
""
]
] | An intriguing correspondence between ingredients in geometric function theory related to the famous Bieberbach conjecture (de Branges' theorem) and the non-perturbative crossing symmetric representation of 2-2 scattering amplitudes of identical scalars is pointed out. Using the dispersion relation and unitarity, we are able to derive several inequalities, analogous to those which arise in the discussions of the Bieberbach conjecture. We derive new and strong bounds on the ratio of certain Wilson coefficients and demonstrate that these are obeyed in one-loop $\phi^4$ theory, tree level string theory as well as in the S-matrix bootstrap. Further, we find two sided bounds on the magnitude of the scattering amplitude, which are shown to be respected in all the contexts mentioned above. Translated to the usual Mandelstam variables, for large $|s|$, fixed $t$, the upper bound reads $|\mathcal{M}(s,t)|\lesssim |s^2|$. We discuss how Szeg\"{o}'s theorem corresponds to a check of univalence in an EFT expansion, while how the Grunsky inequalities translate into nontrivial, nonlinear inequalities on the Wilson coefficients. |
hep-th/0608173 | Joerg Eilers | Joerg Eilers | Geometric twist decomposition off the light--cone for nonlocal QCD
operators | null | null | null | null | hep-th | null | A general procedure is introduced allowing for the infinite decomposition of
nonlocal operators off the light--cone into operators of definite geometric
twist.
| [
{
"created": "Thu, 24 Aug 2006 18:43:06 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Eilers",
"Joerg",
""
]
] | A general procedure is introduced allowing for the infinite decomposition of nonlocal operators off the light--cone into operators of definite geometric twist. |
1704.01290 | Ming Yu | Ming Yu, Chi Zhang and Yao-Zhong Zhang | One loop amplitude from null string | 18 pages, 2 figures | JHEP 06 (2017) 051 | 10.1007/JHEP06(2017)051 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We generalize the CHY formalism to one-loop level, based on the framework of
the null string theory. The null string, a tensionless string theory, produces
the same results as the ones from the chiral ambitwistor string theory, with
the latter believed to give a string interpretation of the CHY formalism. A key
feature of our formalism is the interpretation of the modular parameters. We
find that the $S$ modular transformation invariance of the ordinary string
theory does not survive in the case of the null string theory. Treating the
integration over the modular parameters this way enable us to derive the n-gons
scattering amplitude in field theory, thus proving the n-gons conjecture.
| [
{
"created": "Wed, 5 Apr 2017 07:15:20 GMT",
"version": "v1"
},
{
"created": "Tue, 30 May 2017 01:27:34 GMT",
"version": "v2"
}
] | 2018-02-12 | [
[
"Yu",
"Ming",
""
],
[
"Zhang",
"Chi",
""
],
[
"Zhang",
"Yao-Zhong",
""
]
] | We generalize the CHY formalism to one-loop level, based on the framework of the null string theory. The null string, a tensionless string theory, produces the same results as the ones from the chiral ambitwistor string theory, with the latter believed to give a string interpretation of the CHY formalism. A key feature of our formalism is the interpretation of the modular parameters. We find that the $S$ modular transformation invariance of the ordinary string theory does not survive in the case of the null string theory. Treating the integration over the modular parameters this way enable us to derive the n-gons scattering amplitude in field theory, thus proving the n-gons conjecture. |
1808.02413 | Masatoshi Yamada | Jisuke Kubo and Masatoshi Yamada | Scale and confinement phase transitions in scale invariant $SU(N)$
scalar gauge theory | 20 pages, 15 figures, Version published in JHEP | JHEP10(2018)003 | 10.1007/JHEP10(2018)003 | UT-HET-127 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider scalegenesis, spontaneous scale symmetry breaking, by the
scalar-bilinear condensation in $SU(N)$ scalar gauge theory. In an effective
field theory approach to the scalar-bilinear condensation at finite
temperature, we include the Polyakov loop to take into account the confinement
effect. The theory with $N=3,4,5$ and $6$ is investigated, and we find that in
all these cases the scale phase transition is a first-order phase transition.
We also calculate the latent heat at and slightly below the critical
temperature. Comparing the results with those obtained without the Polyakov
loop effect, we find that the Polyakov effect can considerably increase the
latent heat in some cases, which would mean a large increase in the energy
density of the gravitational waves background, if it were produced by the scale
phase transition.
| [
{
"created": "Tue, 7 Aug 2018 15:11:11 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Oct 2018 20:19:04 GMT",
"version": "v2"
}
] | 2018-10-05 | [
[
"Kubo",
"Jisuke",
""
],
[
"Yamada",
"Masatoshi",
""
]
] | We consider scalegenesis, spontaneous scale symmetry breaking, by the scalar-bilinear condensation in $SU(N)$ scalar gauge theory. In an effective field theory approach to the scalar-bilinear condensation at finite temperature, we include the Polyakov loop to take into account the confinement effect. The theory with $N=3,4,5$ and $6$ is investigated, and we find that in all these cases the scale phase transition is a first-order phase transition. We also calculate the latent heat at and slightly below the critical temperature. Comparing the results with those obtained without the Polyakov loop effect, we find that the Polyakov effect can considerably increase the latent heat in some cases, which would mean a large increase in the energy density of the gravitational waves background, if it were produced by the scale phase transition. |
1111.4107 | Ahmet Emir Gumrukcuoglu | A. Emir Gumrukcuoglu, Chunshan Lin, Shinji Mukohyama | Cosmological perturbations of self-accelerating universe in nonlinear
massive gravity | 32 pages, 1 figure; v2: minor update to match the published version | JCAP 03 (2012) 006 | 10.1088/1475-7516/2012/03/006 | IPMU11-0189 | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study cosmological perturbations of self-accelerating universe solutions
in the recently proposed nonlinear theory of massive gravity, with general
matter content. While the broken diffeomorphism invariance implies that there
generically are 2 tensor, 2 vector and 2 scalar degrees of freedom in the
gravity sector, we find that the scalar and vector degrees have vanishing
kinetic terms and nonzero mass terms. Depending on their nonlinear behavior,
this indicates either nondynamical nature of these degrees or strong couplings.
Assuming the former, we integrate out the 2 vector and 2 scalar degrees of
freedom. We then find that in the scalar and vector sectors, gauge-invariant
variables constructed from metric and matter perturbations have exactly the
same quadratic action as in general relativity. The difference from general
relativity arises only in the tensor sector, where the graviton mass modifies
the dispersion relation of gravitational waves, with a time-dependent effective
mass. This may lead to modification of stochastic gravitational wave spectrum.
| [
{
"created": "Thu, 17 Nov 2011 14:22:38 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Mar 2012 05:44:39 GMT",
"version": "v2"
}
] | 2012-03-07 | [
[
"Gumrukcuoglu",
"A. Emir",
""
],
[
"Lin",
"Chunshan",
""
],
[
"Mukohyama",
"Shinji",
""
]
] | We study cosmological perturbations of self-accelerating universe solutions in the recently proposed nonlinear theory of massive gravity, with general matter content. While the broken diffeomorphism invariance implies that there generically are 2 tensor, 2 vector and 2 scalar degrees of freedom in the gravity sector, we find that the scalar and vector degrees have vanishing kinetic terms and nonzero mass terms. Depending on their nonlinear behavior, this indicates either nondynamical nature of these degrees or strong couplings. Assuming the former, we integrate out the 2 vector and 2 scalar degrees of freedom. We then find that in the scalar and vector sectors, gauge-invariant variables constructed from metric and matter perturbations have exactly the same quadratic action as in general relativity. The difference from general relativity arises only in the tensor sector, where the graviton mass modifies the dispersion relation of gravitational waves, with a time-dependent effective mass. This may lead to modification of stochastic gravitational wave spectrum. |
hep-th/9807091 | Matthias R. Gaberdiel | Matthias R. Gaberdiel and Horst G. Kausch | A Local Logarithmic Conformal Field Theory | 29 pages, LaTeX, minor changes, reference added | Nucl.Phys.B538:631-658,1999 | 10.1016/S0550-3213(98)00701-9 | DAMTP-1998-74, DTP-98/37 | hep-th | null | The local logarithmic conformal field theory corresponding to the triplet
algebra at c=-2 is constructed. The constraints of locality and crossing
symmetry are explored in detail, and a consistent set of amplitudes is found.
The spectrum of the corresponding theory is determined, and it is found to be
modular invariant. This provides the first construction of a non-chiral
rational logarithmic conformal field theory, establishing that such models can
indeed define bona fide conformal field theories.
| [
{
"created": "Mon, 13 Jul 1998 19:14:43 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Oct 1998 13:58:27 GMT",
"version": "v2"
}
] | 2011-09-29 | [
[
"Gaberdiel",
"Matthias R.",
""
],
[
"Kausch",
"Horst G.",
""
]
] | The local logarithmic conformal field theory corresponding to the triplet algebra at c=-2 is constructed. The constraints of locality and crossing symmetry are explored in detail, and a consistent set of amplitudes is found. The spectrum of the corresponding theory is determined, and it is found to be modular invariant. This provides the first construction of a non-chiral rational logarithmic conformal field theory, establishing that such models can indeed define bona fide conformal field theories. |
hep-th/0506063 | Radoslav Rashkov | N.P. Bobev, H. Dimov and R.C. Rashkov | Semiclassical strings in Lunin-Maldacena background | 16 pages, references added | Bulg.J.Phys. 35 (2008) 274-285 | null | null | hep-th | null | In this paper we investigate semiclassical rotating string configurations in
the recently found Lunin-Maldacena background. This background is conjectured
to be dual to the Leigh-Strassler beta-deformation of N=4 SYM and therefore a
good laboratory for tests of the AdS/CFT correspondence beyond the well
explored AdS(5)x S(5) case. We consider different multispin configurations of
rotating strings by allowing the strings to move in both the AdS(5) and the
deformed S(5) part of the Lunin-Maldacena background. For all of these
configurations we compute the string energy in terms of the angular momenta and
the string winding numbers and thus provide the possibility of comparing our
results to the anomalous dimension of the corresponding dilatation operator.
| [
{
"created": "Wed, 8 Jun 2005 10:20:14 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Jul 2005 11:14:00 GMT",
"version": "v2"
}
] | 2015-05-08 | [
[
"Bobev",
"N. P.",
""
],
[
"Dimov",
"H.",
""
],
[
"Rashkov",
"R. C.",
""
]
] | In this paper we investigate semiclassical rotating string configurations in the recently found Lunin-Maldacena background. This background is conjectured to be dual to the Leigh-Strassler beta-deformation of N=4 SYM and therefore a good laboratory for tests of the AdS/CFT correspondence beyond the well explored AdS(5)x S(5) case. We consider different multispin configurations of rotating strings by allowing the strings to move in both the AdS(5) and the deformed S(5) part of the Lunin-Maldacena background. For all of these configurations we compute the string energy in terms of the angular momenta and the string winding numbers and thus provide the possibility of comparing our results to the anomalous dimension of the corresponding dilatation operator. |
hep-th/0503119 | Niels Nielsen K. | P.M.Glerfoss, J.Hylsberg, N.K.Nielsen | Instanton constraints in supersymmetric gauge theories I. Supersymmetric
QCD | 28 pages | null | null | null | hep-th | null | A previous analysis of possible constraints of Yang-Mills instantons in the
presence of spontaneous symmetry breaking is extended to supersymmetric QCD. It
is again found that a constraint is necessary for the gauge field in second and
fourth order of the gauge breaking parameter v. While the supersymmetric zero
mode is well behaved to all orders, the lifted superconformal and quark zero
modes show nonpermissible behaviour, but only at first order in v.
| [
{
"created": "Tue, 15 Mar 2005 16:29:43 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Glerfoss",
"P. M.",
""
],
[
"Hylsberg",
"J.",
""
],
[
"Nielsen",
"N. K.",
""
]
] | A previous analysis of possible constraints of Yang-Mills instantons in the presence of spontaneous symmetry breaking is extended to supersymmetric QCD. It is again found that a constraint is necessary for the gauge field in second and fourth order of the gauge breaking parameter v. While the supersymmetric zero mode is well behaved to all orders, the lifted superconformal and quark zero modes show nonpermissible behaviour, but only at first order in v. |
hep-th/0007245 | Richard Shurtleff | Richard Shurtleff | Rotations and e, $\nu$ Propagators, Part II | 8 pages, no figures, LaTex | null | null | null | hep-th | null | We continue to derive spacetime quantities and spin 1/2 propagators from
rotations. Rotation-invariant projection operators are found for each element
of a four element basis, i.e. a basis for four component quantities with
specific transformation rules under rotations. With these four projection
operators, we make two spacetime invariant projection operators, i.e. once
space, time, energy, and momentum are identified. The spacetime invariant
operators are propagators for free neutrinos. Except for the substitute basis,
the process is the same as the one that gave electron propagators in Part I.
PACS number(s): 11.30.-j, 11.30.Cp, and 03.65.Fd
| [
{
"created": "Mon, 31 Jul 2000 12:48:58 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Shurtleff",
"Richard",
""
]
] | We continue to derive spacetime quantities and spin 1/2 propagators from rotations. Rotation-invariant projection operators are found for each element of a four element basis, i.e. a basis for four component quantities with specific transformation rules under rotations. With these four projection operators, we make two spacetime invariant projection operators, i.e. once space, time, energy, and momentum are identified. The spacetime invariant operators are propagators for free neutrinos. Except for the substitute basis, the process is the same as the one that gave electron propagators in Part I. PACS number(s): 11.30.-j, 11.30.Cp, and 03.65.Fd |
hep-th/0506074 | Pierre Mathieu | P Jacob and P. Mathieu | A quasi-particle description of the M(3,p) models | 29 pages; revised version with two appendices added | Nucl.Phys. B733 (2006) 205-232 | 10.1016/j.nuclphysb.2005.10.033 | DCPT-05/19 | hep-th math-ph math.MP math.QA | null | The M(3,p) minimal models are reconsidered from the point of view of the
extended algebra whose generators are the energy-momentum tensor and the
primary field \phi_{2,1} of dimension $(p-2)/4$. Within this framework, we
provide a quasi-particle description of these models, in which all states are
expressed solely in terms of the \phi_{2,1}-modes. More precisely, we show that
all the states can be written in terms of \phi_{2,1}-type highest-weight states
and their phi_{2,1}-descendants. We further demonstrate that the conformal
dimension of these highest-weight states can be calculated from the \phi_{2,1}
commutation relations, the highest-weight conditions and associativity. For the
simplest models (p=5,7), the full spectrum is explicitly reconstructed along
these lines. For $p$ odd, the commutation relations between the \phi_{2,1}
modes take the form of infinite sums, i.e., of generalized commutation
relations akin to parafermionic models. In that case, an unexpected operator,
generalizing the Witten index, is unravelled in the OPE of \phi_{2,1} with
itself. A quasi-particle basis formulated in terms of the sole \phi_{1,2} modes
is studied for all allowed values of p. We argue that it is governed by
jagged-type partitions further subject a difference 2 condition at distance 2.
We demonstrate the correctness of this basis by constructing its generating
function, from which the proper fermionic expression of the combination of the
Virasoro irreducible characters \chi_{1,s} and \chi_{1,p-s} (for 1\leq s\leq
[p/3]+1) are recovered. As an aside, a practical technique for implementing
associativity at the level of mode computations is presented, together with a
general discussion of the relation between associativity and the Jacobi
identities.
| [
{
"created": "Thu, 9 Jun 2005 17:20:36 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Oct 2005 18:31:27 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Jacob",
"P",
""
],
[
"Mathieu",
"P.",
""
]
] | The M(3,p) minimal models are reconsidered from the point of view of the extended algebra whose generators are the energy-momentum tensor and the primary field \phi_{2,1} of dimension $(p-2)/4$. Within this framework, we provide a quasi-particle description of these models, in which all states are expressed solely in terms of the \phi_{2,1}-modes. More precisely, we show that all the states can be written in terms of \phi_{2,1}-type highest-weight states and their phi_{2,1}-descendants. We further demonstrate that the conformal dimension of these highest-weight states can be calculated from the \phi_{2,1} commutation relations, the highest-weight conditions and associativity. For the simplest models (p=5,7), the full spectrum is explicitly reconstructed along these lines. For $p$ odd, the commutation relations between the \phi_{2,1} modes take the form of infinite sums, i.e., of generalized commutation relations akin to parafermionic models. In that case, an unexpected operator, generalizing the Witten index, is unravelled in the OPE of \phi_{2,1} with itself. A quasi-particle basis formulated in terms of the sole \phi_{1,2} modes is studied for all allowed values of p. We argue that it is governed by jagged-type partitions further subject a difference 2 condition at distance 2. We demonstrate the correctness of this basis by constructing its generating function, from which the proper fermionic expression of the combination of the Virasoro irreducible characters \chi_{1,s} and \chi_{1,p-s} (for 1\leq s\leq [p/3]+1) are recovered. As an aside, a practical technique for implementing associativity at the level of mode computations is presented, together with a general discussion of the relation between associativity and the Jacobi identities. |
1110.5606 | Daniele Oriti | Daniele Oriti | The microscopic dynamics of quantum space as a group field theory | 60 pages. Extensively revised version of the contribution to
"Foundations of Space and Time: Reflections on Quantum Gravity", edited by G.
Ellis, J. Murugan, A. Weltman, published by Cambridge University Press | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide a rather extended introduction to the group field theory approach
to quantum gravity, and the main ideas behind it. We present in some detail the
GFT quantization of 3d Riemannian gravity, and discuss briefly the current
status of the 4-dimensional extensions of this construction. We also briefly
report on recent results obtained in this approach and related open issues,
concerning both the mathematical definition of GFT models, and possible avenues
towards extracting interesting physics from them.
| [
{
"created": "Tue, 25 Oct 2011 18:48:57 GMT",
"version": "v1"
}
] | 2011-10-26 | [
[
"Oriti",
"Daniele",
""
]
] | We provide a rather extended introduction to the group field theory approach to quantum gravity, and the main ideas behind it. We present in some detail the GFT quantization of 3d Riemannian gravity, and discuss briefly the current status of the 4-dimensional extensions of this construction. We also briefly report on recent results obtained in this approach and related open issues, concerning both the mathematical definition of GFT models, and possible avenues towards extracting interesting physics from them. |
hep-th/9109058 | Denis Bernard | Denis Bernard | Quantum Symmetries in 2D Massive Field Theories | 40 pages | null | null | null | hep-th | null | We review various aspects of (infinite) quantum group symmetries in 2D
massive quantum field theories. We discuss how these symmetries can be used to
exactly solve the integrable models. A possible way for generalizing to three
dimensions is shortly described.
| [
{
"created": "Mon, 30 Sep 1991 17:08:34 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Bernard",
"Denis",
""
]
] | We review various aspects of (infinite) quantum group symmetries in 2D massive quantum field theories. We discuss how these symmetries can be used to exactly solve the integrable models. A possible way for generalizing to three dimensions is shortly described. |
hep-th/9605149 | Martin Rocek | M.T. Grisaru, M. Rocek, R. von Unge | Effective K\"ahler Potentials | 11 pages, Latex | Phys.Lett. B383 (1996) 415-421 | 10.1016/0370-2693(96)00777-0 | ITP-SB-96-24, BRX-TH-395, USITP-96-07 | hep-th | null | We compute the $1$-loop effective K\"ahler potential in the most general
renormalizable $N=1$ $d=4$ supersymmetric quantum field theory.
| [
{
"created": "Tue, 21 May 1996 18:53:08 GMT",
"version": "v1"
}
] | 2019-08-15 | [
[
"Grisaru",
"M. T.",
""
],
[
"Rocek",
"M.",
""
],
[
"von Unge",
"R.",
""
]
] | We compute the $1$-loop effective K\"ahler potential in the most general renormalizable $N=1$ $d=4$ supersymmetric quantum field theory. |
hep-th/9401125 | Dan Kabat | D. Kabat and M. J. Strassler | A Comment on Entropy and Area | 15 pages, RU-94-10 | Phys.Lett.B329:46-52,1994 | 10.1016/0370-2693(94)90515-0 | null | hep-th gr-qc | null | For an arbitrary quantum field in flat space with a planar boundary, an
entropy of entanglement, associated with correlations across the boundary, is
present when the field is in its vacuum state. The vacuum state of the same
quantum field appears thermal in Rindler space, with an associated thermal
entropy. We show that the density matrices describing the two situations are
identical, and therefore that the two entropies are equal. We comment on the
generality and significance of this result, and make use of it in analyzing the
area and cutoff dependence of the entropy. The equivalence of the density
matrices leads us to speculate that a planar boundary in Minkowski space has a
classical entropy given by the Bekenstein--Hawking formula.
| [
{
"created": "Wed, 26 Jan 1994 03:58:50 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Kabat",
"D.",
""
],
[
"Strassler",
"M. J.",
""
]
] | For an arbitrary quantum field in flat space with a planar boundary, an entropy of entanglement, associated with correlations across the boundary, is present when the field is in its vacuum state. The vacuum state of the same quantum field appears thermal in Rindler space, with an associated thermal entropy. We show that the density matrices describing the two situations are identical, and therefore that the two entropies are equal. We comment on the generality and significance of this result, and make use of it in analyzing the area and cutoff dependence of the entropy. The equivalence of the density matrices leads us to speculate that a planar boundary in Minkowski space has a classical entropy given by the Bekenstein--Hawking formula. |
hep-th/9909155 | null | S.L. Dubovsky, D.S. Gorbunov | Induced charge matching and Wess-Zumino term on quantum modified moduli
space | revtex, 6 pages, 1 figure. Final version to appear in Phys. Rev. D | Phys.Rev. D61 (2000) 085016 | 10.1103/PhysRevD.61.085016 | null | hep-th hep-ph | null | Recently it was proposed that matching of global charges induced in vacuum by
slowly varying, topologically non-trivial scalar fields provides consistency
conditions analogous to the 't Hooft anomaly matching conditions. We study
matching of induced charges in supersymmetric SU(N) gauge theories with quantum
modified moduli space. We find that the Wess-Zumino term should be present in
the low energy theory in order that these consistency conditions are satisfied.
We calculate the lowest homotopy groups of the quantum moduli space, and show
that there are no obstructions to the existence of the Wess-Zumino term at
arbitrary N. The explicit expression for this term is given. It is shown that
neither vortices nor topological solitons exist in the model. The case of
softly broken supersymmetry is considered as well. We find that the possibility
of global flavor symmetric vacuum is strongly disfavored.
| [
{
"created": "Wed, 22 Sep 1999 11:37:45 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Dec 1999 11:37:01 GMT",
"version": "v2"
},
{
"created": "Wed, 16 Feb 2000 15:41:13 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Dubovsky",
"S. L.",
""
],
[
"Gorbunov",
"D. S.",
""
]
] | Recently it was proposed that matching of global charges induced in vacuum by slowly varying, topologically non-trivial scalar fields provides consistency conditions analogous to the 't Hooft anomaly matching conditions. We study matching of induced charges in supersymmetric SU(N) gauge theories with quantum modified moduli space. We find that the Wess-Zumino term should be present in the low energy theory in order that these consistency conditions are satisfied. We calculate the lowest homotopy groups of the quantum moduli space, and show that there are no obstructions to the existence of the Wess-Zumino term at arbitrary N. The explicit expression for this term is given. It is shown that neither vortices nor topological solitons exist in the model. The case of softly broken supersymmetry is considered as well. We find that the possibility of global flavor symmetric vacuum is strongly disfavored. |
hep-th/9811188 | Michele Mintchev | M. Gattobigio (INFN, Pisa & Pisa U.), A. Liguori (ISAS, Trieste), M.
Mintchev (INFN, Pisa & Pisa U.) | The Nonlinear Schrodinger Equation on the Half Line | Tex file, no figures, 32 pages | J.Math.Phys. 40 (1999) 2949-2970 | 10.1063/1.532738 | IFUP-TH 47/98 | hep-th math-ph math.MP math.QA nlin.SI solv-int | null | The nonlinear Schrodinger equation on the half line with mixed boundary
condition is investigated. After a brief introduction to the corresponding
classical boundary value problem, the exact second quantized solution of the
system is constructed. The construction is based on a new algebraic structure,
which is called in what follows boundary algebra and which substitutes, in the
presence of boundaries, the familiar Zamolodchikov-Faddeev algebra. The
fundamental quantum field theory properties of the solution are established and
discussed in detail. The relative scattering operator is derived in the
Haag-Ruelle framework, suitably generalized to the case of broken translation
invariance in space.
| [
{
"created": "Fri, 20 Nov 1998 14:31:08 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Gattobigio",
"M.",
"",
"INFN, Pisa & Pisa U."
],
[
"Liguori",
"A.",
"",
"ISAS, Trieste"
],
[
"Mintchev",
"M.",
"",
"INFN, Pisa & Pisa U."
]
] | The nonlinear Schrodinger equation on the half line with mixed boundary condition is investigated. After a brief introduction to the corresponding classical boundary value problem, the exact second quantized solution of the system is constructed. The construction is based on a new algebraic structure, which is called in what follows boundary algebra and which substitutes, in the presence of boundaries, the familiar Zamolodchikov-Faddeev algebra. The fundamental quantum field theory properties of the solution are established and discussed in detail. The relative scattering operator is derived in the Haag-Ruelle framework, suitably generalized to the case of broken translation invariance in space. |
1602.01798 | Diego Rubiera-Garcia | Gonzalo J. Olmo, D. Rubiera-Garcia, and A. Sanchez-Puente | Impact of curvature divergences on physical observers in a wormhole
space-time with horizons | 14 pages; Accepted for publication on Class. Quant. Grav | Class.Quant.Grav 33 (2016) no.11, 115007 | 10.1088/0264-9381/33/11/115007 | IFIC/16-55 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The impact of curvature divergences on physical observers in a black hole
space-time which, nonetheless, is geodesically complete is investigated. This
space-time is an exact solution of certain extensions of General Relativity
coupled to Maxwell's electrodynamics and, roughly speaking, consists on two
Reissner-Nordstr\"{o}m (or Schwarzschild or Minkowski) geometries connected by
a spherical wormhole near the center. We find that, despite the existence of
infinite tidal forces, causal contact is never lost among the elements making
up the observer. This suggests that curvature divergences may not be as
pathological as traditionally thought.
| [
{
"created": "Thu, 4 Feb 2016 19:18:53 GMT",
"version": "v1"
}
] | 2016-07-25 | [
[
"Olmo",
"Gonzalo J.",
""
],
[
"Rubiera-Garcia",
"D.",
""
],
[
"Sanchez-Puente",
"A.",
""
]
] | The impact of curvature divergences on physical observers in a black hole space-time which, nonetheless, is geodesically complete is investigated. This space-time is an exact solution of certain extensions of General Relativity coupled to Maxwell's electrodynamics and, roughly speaking, consists on two Reissner-Nordstr\"{o}m (or Schwarzschild or Minkowski) geometries connected by a spherical wormhole near the center. We find that, despite the existence of infinite tidal forces, causal contact is never lost among the elements making up the observer. This suggests that curvature divergences may not be as pathological as traditionally thought. |
2405.14349 | Alexander Popov | Alexander D. Popov | Klein-Gordon oscillators, RQM and quantum time | 24 pages; v2: minor corrections | null | null | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that turning on the interaction of relativistic spinless particles
with the vacuum of relativistic quantum mechanics (RQM) leads to the
replacement of the Klein-Gordon equation with the Klein-Gordon oscillator
equation. In this case, coordinate time becomes an operator and free
relativistic particles go into a virtual state. We discuss geometry associated
with classical and quantum Klein-Gordon oscillators, and its relation to the
geometry underlying the description of free particles.
| [
{
"created": "Thu, 23 May 2024 09:20:56 GMT",
"version": "v1"
},
{
"created": "Wed, 29 May 2024 10:43:37 GMT",
"version": "v2"
}
] | 2024-05-30 | [
[
"Popov",
"Alexander D.",
""
]
] | We show that turning on the interaction of relativistic spinless particles with the vacuum of relativistic quantum mechanics (RQM) leads to the replacement of the Klein-Gordon equation with the Klein-Gordon oscillator equation. In this case, coordinate time becomes an operator and free relativistic particles go into a virtual state. We discuss geometry associated with classical and quantum Klein-Gordon oscillators, and its relation to the geometry underlying the description of free particles. |
1905.01056 | Kiyoshi Shiraishi | Takuya Maki, Kiyoshi Shiraishi | High-Energy Scattering by Extreme Dilaton Black Holes | 7 pages, no figure | The Open Nuclear & Particle Physics Journal, Volume 6, 2013, pp.
16-19 | 10.2174/1874415X01306010016 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the high and low energy scattering of charged scalar waves
from an extreme dilaton black hole (DBH). The analyses here correspond to
forward scattering processes of two charged scalar particles with dilaton
coupling under a certain extreme condition. We calculate the scattering
amplitude and compare it with the known results obtained by other methods. We
also discuss the case of incoming wave with a general charge and dilaton
coupling.
| [
{
"created": "Fri, 3 May 2019 07:42:56 GMT",
"version": "v1"
}
] | 2019-06-04 | [
[
"Maki",
"Takuya",
""
],
[
"Shiraishi",
"Kiyoshi",
""
]
] | We investigate the high and low energy scattering of charged scalar waves from an extreme dilaton black hole (DBH). The analyses here correspond to forward scattering processes of two charged scalar particles with dilaton coupling under a certain extreme condition. We calculate the scattering amplitude and compare it with the known results obtained by other methods. We also discuss the case of incoming wave with a general charge and dilaton coupling. |
1804.07315 | Spyros Sypsas | Xingang Chen, Gonzalo A. Palma, Walter Riquelme, Bruno Scheihing
Hitschfeld and Spyros Sypsas | Landscape tomography through primordial non-Gaussianity | 26 pages, 8 figures, v3: clarifications added, typos fixed; matches
published version | Phys. Rev. D 98, 083528 (2018) | 10.1103/PhysRevD.98.083528 | null | hep-th astro-ph.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we show how the structure of the landscape potential of the
primordial Universe may be probed through the properties of the primordial
density perturbations responsible for the origin of the cosmic microwave
background anisotropies and the large-scale structure of our Universe.
Isocurvature fields -fields orthogonal to the inflationary trajectory- may have
fluctuated across the barriers separating local minima of the landscape
potential during inflation. We analyze how this process could have impacted the
evolution of the primordial curvature perturbations. If the typical distance
separating consecutive minima of the landscape potential and the height of the
potential barriers are smaller than the Hubble expansion rate parametrizing
inflation, the probability distribution function of isocurvature fields becomes
non-Gaussian due to the appearance of bumps and dips associated to the
structure of the potential. We show that this non-Gaussianity can be
transferred to the statistics of primordial curvature perturbations if the
isocurvature fields are coupled to the curvature perturbations. The type of
non-Gaussian structure that emerges in the distribution of curvature
perturbations cannot be fully probed with the standard methods of polyspectra;
instead, the probability distribution function is needed. The latter is
obtained by summing all the $n$-point correlation functions. To substantiate
our claims, we offer a concrete model consisting of an axionlike isocurvature
perturbation with a sinusoidal potential and a linear derivative coupling
between the isocurvature and curvature fields. In this model, the probability
distribution function of the curvature perturbations consists of a Gaussian
function with small superimposed oscillations reflecting the isocurvature axion
potential.
| [
{
"created": "Thu, 19 Apr 2018 18:03:50 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Jun 2018 19:32:54 GMT",
"version": "v2"
},
{
"created": "Wed, 17 Oct 2018 17:06:57 GMT",
"version": "v3"
}
] | 2019-09-25 | [
[
"Chen",
"Xingang",
""
],
[
"Palma",
"Gonzalo A.",
""
],
[
"Riquelme",
"Walter",
""
],
[
"Hitschfeld",
"Bruno Scheihing",
""
],
[
"Sypsas",
"Spyros",
""
]
] | In this paper, we show how the structure of the landscape potential of the primordial Universe may be probed through the properties of the primordial density perturbations responsible for the origin of the cosmic microwave background anisotropies and the large-scale structure of our Universe. Isocurvature fields -fields orthogonal to the inflationary trajectory- may have fluctuated across the barriers separating local minima of the landscape potential during inflation. We analyze how this process could have impacted the evolution of the primordial curvature perturbations. If the typical distance separating consecutive minima of the landscape potential and the height of the potential barriers are smaller than the Hubble expansion rate parametrizing inflation, the probability distribution function of isocurvature fields becomes non-Gaussian due to the appearance of bumps and dips associated to the structure of the potential. We show that this non-Gaussianity can be transferred to the statistics of primordial curvature perturbations if the isocurvature fields are coupled to the curvature perturbations. The type of non-Gaussian structure that emerges in the distribution of curvature perturbations cannot be fully probed with the standard methods of polyspectra; instead, the probability distribution function is needed. The latter is obtained by summing all the $n$-point correlation functions. To substantiate our claims, we offer a concrete model consisting of an axionlike isocurvature perturbation with a sinusoidal potential and a linear derivative coupling between the isocurvature and curvature fields. In this model, the probability distribution function of the curvature perturbations consists of a Gaussian function with small superimposed oscillations reflecting the isocurvature axion potential. |
2106.15598 | Dmitri Bykov | Dmitri Bykov | Sigma models as Gross-Neveu models | 17 pages, 1 figure | null | 10.1134/S0040577921080018 | null | hep-th math-ph math.DG math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review the correspondence between integrable sigma models with complex
homogeneous target spaces and chiral bosonic (and possibly mixed
bosonic/fermionic) Gross-Neveu models. Mathematically, the latter are models
with quiver variety phase spaces, which reduce to the more conventional sigma
models in special cases. We discuss the geometry of the models, as well as
their trigonometric and elliptic deformations, Ricci flow and the inclusion of
fermions.
| [
{
"created": "Tue, 29 Jun 2021 17:33:58 GMT",
"version": "v1"
}
] | 2021-09-15 | [
[
"Bykov",
"Dmitri",
""
]
] | We review the correspondence between integrable sigma models with complex homogeneous target spaces and chiral bosonic (and possibly mixed bosonic/fermionic) Gross-Neveu models. Mathematically, the latter are models with quiver variety phase spaces, which reduce to the more conventional sigma models in special cases. We discuss the geometry of the models, as well as their trigonometric and elliptic deformations, Ricci flow and the inclusion of fermions. |
1306.4510 | M. Hossein Dehghani | M. H. Dehghani, A. Sheykhi and R. Dehghani | Thermodynamics of Quasi-Topological Cosmology | 8 pages, no figure, Phys. Lett B, in press (2013) | Phys. Let. B 724 (2013) 11 | 10.1016/j.physletb.2013.05.065 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we study thermodynamical properties of the apparent horizon in
a universe governed by quasi-topological gravity. Our aim is twofold. First, by
using the variational method we derive the general form of Friedmann equation
in quasi-topological gravity. Then, by applying the first law of thermodynamics
on the apparent horizon, after using the entropy expression associated with the
black hole horizon in quasi-topological gravity, and replacing the horizon
radius, $r_{+}$, with the apparent horizon radius, $\tilde{r}_{A}$, we derive
the corresponding Friedmann equation in quasi-topological gravity. We find that
these two different approaches yield the same result which show the profound
connection between the first law of thermodynamics and the gravitational field
equations of quasi-topological gravity. We also study the validity of the
generalized second law of thermodynamics in quasi-topological cosmology. We
find that, with the assumption of the local equilibrium hypothesis, the
generalized second law of thermodynamics is fulfilled for the universe
enveloped by the apparent horizon for the late time cosmology.
| [
{
"created": "Wed, 19 Jun 2013 12:05:34 GMT",
"version": "v1"
}
] | 2015-06-16 | [
[
"Dehghani",
"M. H.",
""
],
[
"Sheykhi",
"A.",
""
],
[
"Dehghani",
"R.",
""
]
] | In this paper, we study thermodynamical properties of the apparent horizon in a universe governed by quasi-topological gravity. Our aim is twofold. First, by using the variational method we derive the general form of Friedmann equation in quasi-topological gravity. Then, by applying the first law of thermodynamics on the apparent horizon, after using the entropy expression associated with the black hole horizon in quasi-topological gravity, and replacing the horizon radius, $r_{+}$, with the apparent horizon radius, $\tilde{r}_{A}$, we derive the corresponding Friedmann equation in quasi-topological gravity. We find that these two different approaches yield the same result which show the profound connection between the first law of thermodynamics and the gravitational field equations of quasi-topological gravity. We also study the validity of the generalized second law of thermodynamics in quasi-topological cosmology. We find that, with the assumption of the local equilibrium hypothesis, the generalized second law of thermodynamics is fulfilled for the universe enveloped by the apparent horizon for the late time cosmology. |
hep-th/0403045 | Antoine Van Proeyen | Eric Bergshoeff, Sorin Cucu, Tim de Wit, Jos Gheerardyn, Stefan
Vandoren and Antoine Van Proeyen | N=2 supergravity in five dimensions revisited | 35 pages; v.2: A sign changed in a bilinear fermion term in (5.7) | Class.Quant.Grav. 21 (2004) 3015-3042; Class.Quant.Grav. 23 (2006)
7149 | 10.1088/0264-9381/21/12/013 | UG-03-08, KUL-TF-04/06, SPIN-03/39, ITP-UU-03/58 | hep-th | null | We construct matter-coupled N=2 supergravity in five dimensions, using the
superconformal approach. For the matter sector we take an arbitrary number of
vector-, tensor- and hyper-multiplets. By allowing off-diagonal vector-tensor
couplings we find more general results than currently known in the literature.
Our results provide the appropriate starting point for a systematic search for
BPS solutions, and for applications of M-theory compactifications on Calabi-Yau
manifolds with fluxes.
| [
{
"created": "Wed, 3 Mar 2004 18:03:39 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Sep 2006 08:18:08 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Bergshoeff",
"Eric",
""
],
[
"Cucu",
"Sorin",
""
],
[
"de Wit",
"Tim",
""
],
[
"Gheerardyn",
"Jos",
""
],
[
"Vandoren",
"Stefan",
""
],
[
"Van Proeyen",
"Antoine",
""
]
] | We construct matter-coupled N=2 supergravity in five dimensions, using the superconformal approach. For the matter sector we take an arbitrary number of vector-, tensor- and hyper-multiplets. By allowing off-diagonal vector-tensor couplings we find more general results than currently known in the literature. Our results provide the appropriate starting point for a systematic search for BPS solutions, and for applications of M-theory compactifications on Calabi-Yau manifolds with fluxes. |
1009.2976 | Helv\'ecio Geovani Fargnoli Filho | H. G. Fargnoli, B. Hiller, A. P. Ba\^eta Scarpelli, Marcos Sampaio and
M. C. Nemes | Regularization Independent Analysis of the Origin of Two Loop
Contributions to N=1 Super Yang-Mills Beta Function | 7 pages, 2 figures, typos corrected | Eur.Phys.J.C71:1633,2011 | 10.1140/epjc/s10052-011-1633-2 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a both ultraviolet and infrared regularization independent
analysis in a symmetry preserving framework for the N=1 Super Yang-Mills beta
function to two loop order. We show explicitly that off-shell infrared
divergences as well as the overall two loop ultraviolet divergence cancel out
whilst the beta function receives contributions of infrared modes.
| [
{
"created": "Wed, 15 Sep 2010 17:28:24 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Dec 2010 21:44:45 GMT",
"version": "v2"
},
{
"created": "Tue, 10 May 2011 16:11:24 GMT",
"version": "v3"
}
] | 2011-05-11 | [
[
"Fargnoli",
"H. G.",
""
],
[
"Hiller",
"B.",
""
],
[
"Scarpelli",
"A. P. Baêta",
""
],
[
"Sampaio",
"Marcos",
""
],
[
"Nemes",
"M. C.",
""
]
] | We present a both ultraviolet and infrared regularization independent analysis in a symmetry preserving framework for the N=1 Super Yang-Mills beta function to two loop order. We show explicitly that off-shell infrared divergences as well as the overall two loop ultraviolet divergence cancel out whilst the beta function receives contributions of infrared modes. |
hep-th/9307084 | Aram Kotzinian | G.V. Grigoryan, R.P. Grigoryan (Yerevan Physics Institute, Republic of
Armenia) | Pseudoclassical Foldy-Wouthuysen transformation and the canonical
quantization of the D=2n dimensional spinning particle in the external
electromagnetic field | 12 pages, article# | null | null | null | hep-th | null | The canonical quantization of $D=2n$ dimensional Dirac spinning particle in
the external electromagnetic field is carried out in the gauge which allows to
describe simultaneously particles and antiparticles (massive and massless)
already at the classical level. Pseudoclassical Foldy-Wouthuysen transformation
is used to obtain canonical (Newton-Wigner) coordinates and in terms of this
variables the theory is quantized. The connection of this quantization with the
Blount picture of Dirac particle in the external electromagnetic field is
discussed.
| [
{
"created": "Tue, 13 Jul 1993 11:10:59 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Grigoryan",
"G. V.",
"",
"Yerevan Physics Institute, Republic of\n Armenia"
],
[
"Grigoryan",
"R. P.",
"",
"Yerevan Physics Institute, Republic of\n Armenia"
]
] | The canonical quantization of $D=2n$ dimensional Dirac spinning particle in the external electromagnetic field is carried out in the gauge which allows to describe simultaneously particles and antiparticles (massive and massless) already at the classical level. Pseudoclassical Foldy-Wouthuysen transformation is used to obtain canonical (Newton-Wigner) coordinates and in terms of this variables the theory is quantized. The connection of this quantization with the Blount picture of Dirac particle in the external electromagnetic field is discussed. |
0908.2131 | David Poland | David Poland | The Phase Structure of Supersymmetric Sp(2N_c) Gauge Theories with an
Adjoint | 18 pages, 2 figures; v2: added references to match JHEP version | JHEP 0911:049,2009 | 10.1088/1126-6708/2009/11/049 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the phase structure of N = 1 supersymmetric Sp(2N_c) gauge theories
with 2N_f fundamentals, an adjoint, and vanishing superpotential. Using
a-maximization, we derive analytic expressions for the values of N_f below
which the first several gauge-invariant operators in the chiral ring violate
the unitarity bound and become free fields. In doing so we are able to
explicitly check previous conjectures about the behavior of this theory made by
Luty, Schmaltz, and Terning. We then compare this to an analysis of the first
two 'deconfined' dual descriptions based on the gauge groups Sp(2N_f+2) x
SO(2N_c+5) and Sp(2N_f+2) x SO(4N_f+4) x Sp(2N_c+2), finding precise agreement.
In particular, we find no evidence for non-obvious accidental symmetries or the
appearance of a mixed phase in which one of the dual gauge groups becomes free.
| [
{
"created": "Fri, 14 Aug 2009 20:21:18 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Nov 2009 22:40:29 GMT",
"version": "v2"
}
] | 2009-11-14 | [
[
"Poland",
"David",
""
]
] | We study the phase structure of N = 1 supersymmetric Sp(2N_c) gauge theories with 2N_f fundamentals, an adjoint, and vanishing superpotential. Using a-maximization, we derive analytic expressions for the values of N_f below which the first several gauge-invariant operators in the chiral ring violate the unitarity bound and become free fields. In doing so we are able to explicitly check previous conjectures about the behavior of this theory made by Luty, Schmaltz, and Terning. We then compare this to an analysis of the first two 'deconfined' dual descriptions based on the gauge groups Sp(2N_f+2) x SO(2N_c+5) and Sp(2N_f+2) x SO(4N_f+4) x Sp(2N_c+2), finding precise agreement. In particular, we find no evidence for non-obvious accidental symmetries or the appearance of a mixed phase in which one of the dual gauge groups becomes free. |
0809.4954 | Predrag Dominis Prester | Predrag Dominis Prester and Tomislav Terzic | alpha'-exact entropies for BPS and non-BPS extremal dyonic black holes
in heterotic string theory from ten-dimensional supersymmetry | 28 pages; v2: minor changes, references added; v3: extended
discussion on small black holes in sec. 5.4, more references added, accepted
in JHEP | JHEP 0812:088,2008 | 10.1088/1126-6708/2008/12/088 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We calculate near-horizon solutions for four-dimensional 4-charge and
five-dimensional 3-charge black holes in heterotic string theory from the part
of the ten-dimensional tree-level effective action which is connected to
gravitational Chern-Simons term by supersymmetry. We obtain that the entropies
of large black holes exactly match the alpha'-exact statistical entropies
obtained from microstate counting (D=4) and AdS/CFT correspondence (D=5).
Especially interesting is that we obtain agreement for both BPS and non-BPS
black holes, contrary to the case of R^2-truncated (four-derivative) actions
(D-dimensional N=2 off-shell supersymmetric or Gauss-Bonnet) were used, which
give the entropies agreeing (at best) just for BPS black holes. The key
property of the solutions, which enabled us to tackle the action containing
infinite number of terms, is vanishing of the Riemann tensor \bar{R}_{MNPQ}
obtained from torsional connection defined with \bar{\Gamma} = \Gamma - H/2.
Morover, if every monomial of the remaining part of the effective action would
contain at least two Riemanns \bar{R}_{MNPQ}, it would trivially follow that
our solutions are exact solutions of the full heterotic effective action in
D=10. The above conjecture, which appeared (in this or stronger form) from time
to time in the literature, has controversial status, but is supported by the
most recent calculations of Richards (arXiv:0807.3453 [hep-th]). Agreement of
our results for the entropies with the microscopic ones supports the
conjecture. As for small black holes, our solutions in D=5 still have singular
horizons.
| [
{
"created": "Mon, 29 Sep 2008 12:27:16 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Oct 2008 13:23:26 GMT",
"version": "v2"
},
{
"created": "Wed, 10 Dec 2008 14:21:07 GMT",
"version": "v3"
}
] | 2009-03-24 | [
[
"Prester",
"Predrag Dominis",
""
],
[
"Terzic",
"Tomislav",
""
]
] | We calculate near-horizon solutions for four-dimensional 4-charge and five-dimensional 3-charge black holes in heterotic string theory from the part of the ten-dimensional tree-level effective action which is connected to gravitational Chern-Simons term by supersymmetry. We obtain that the entropies of large black holes exactly match the alpha'-exact statistical entropies obtained from microstate counting (D=4) and AdS/CFT correspondence (D=5). Especially interesting is that we obtain agreement for both BPS and non-BPS black holes, contrary to the case of R^2-truncated (four-derivative) actions (D-dimensional N=2 off-shell supersymmetric or Gauss-Bonnet) were used, which give the entropies agreeing (at best) just for BPS black holes. The key property of the solutions, which enabled us to tackle the action containing infinite number of terms, is vanishing of the Riemann tensor \bar{R}_{MNPQ} obtained from torsional connection defined with \bar{\Gamma} = \Gamma - H/2. Morover, if every monomial of the remaining part of the effective action would contain at least two Riemanns \bar{R}_{MNPQ}, it would trivially follow that our solutions are exact solutions of the full heterotic effective action in D=10. The above conjecture, which appeared (in this or stronger form) from time to time in the literature, has controversial status, but is supported by the most recent calculations of Richards (arXiv:0807.3453 [hep-th]). Agreement of our results for the entropies with the microscopic ones supports the conjecture. As for small black holes, our solutions in D=5 still have singular horizons. |
1407.5975 | Federico Galli | N. Callebaut, B. Craps, F. Galli, D. C. Thompson, J. Vanhoof, J.
Zaanen, Hongbao Zhang | Holographic Quenches and Fermionic Spectral Functions | 17 pages, 9 figures; v2: appendix on numerical convergence added to
match the published version | null | 10.1007/JHEP10(2014)172 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using holographic methods we investigate the behaviour of fermionic spectral
functions of strongly coupled 2+1 dimensional field theories as both
temperature and chemical potential are quenched.
| [
{
"created": "Tue, 22 Jul 2014 19:04:07 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Nov 2014 11:37:37 GMT",
"version": "v2"
}
] | 2014-11-05 | [
[
"Callebaut",
"N.",
""
],
[
"Craps",
"B.",
""
],
[
"Galli",
"F.",
""
],
[
"Thompson",
"D. C.",
""
],
[
"Vanhoof",
"J.",
""
],
[
"Zaanen",
"J.",
""
],
[
"Zhang",
"Hongbao",
""
]
] | Using holographic methods we investigate the behaviour of fermionic spectral functions of strongly coupled 2+1 dimensional field theories as both temperature and chemical potential are quenched. |
1510.03852 | Christoph Uhlemann | John F. Fuini III, Andreas Karch, Christoph F. Uhlemann | Spinor fields in general Newton-Cartan backgrounds | 22 pages | Phys. Rev. D 92, 125036 (2015) | 10.1103/PhysRevD.92.125036 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give a covariant construction of Lagrangians for spinor fields in generic
Newton-Cartan backgrounds. A non-relativistic Dirac/Levy-Leblond operator and
the associated fields are obtained from relativistic analogues by a limiting
procedure. The relativistic symmetries induce the complete set of
non-relativistic symmetries, including Milne boosts and local Galilean
transformations. The resulting Levy-Leblond operator includes non-minimal
couplings to the Newton-Cartan structure as well as to the gauge field, and
with these couplings it transforms covariantly. Phenomenologically, this fixes
the gyromagnetic ratio to g=1. Three-dimensional spacetimes are an exception:
generic g is possible but results in modified Milne transformations, which -
upon gauge fixing - reproduces the anomalous diffeomorphisms found in earlier
approaches.
| [
{
"created": "Tue, 13 Oct 2015 20:10:26 GMT",
"version": "v1"
}
] | 2016-01-06 | [
[
"Fuini",
"John F.",
"III"
],
[
"Karch",
"Andreas",
""
],
[
"Uhlemann",
"Christoph F.",
""
]
] | We give a covariant construction of Lagrangians for spinor fields in generic Newton-Cartan backgrounds. A non-relativistic Dirac/Levy-Leblond operator and the associated fields are obtained from relativistic analogues by a limiting procedure. The relativistic symmetries induce the complete set of non-relativistic symmetries, including Milne boosts and local Galilean transformations. The resulting Levy-Leblond operator includes non-minimal couplings to the Newton-Cartan structure as well as to the gauge field, and with these couplings it transforms covariantly. Phenomenologically, this fixes the gyromagnetic ratio to g=1. Three-dimensional spacetimes are an exception: generic g is possible but results in modified Milne transformations, which - upon gauge fixing - reproduces the anomalous diffeomorphisms found in earlier approaches. |
hep-th/0007008 | Ali Mostafazadeh | K. Aghababaei Samani and A. Mostafazadeh | Quantum Mechanical Symmetries and Topological Invariants | Revised version, to appear in Nucl. Phys. B | Nucl.Phys. B595 (2001) 467-492 | 10.1016/S0550-3213(00)00692-1 | null | hep-th math-ph math.MP quant-ph | null | We give the definition and explore the algebraic structure of a class of
quantum symmetries, called topological symmetries, which are generalizations of
supersymmetry in the sense that they involve topological invariants similar to
the Witten index. A topological symmetry (TS) is specified by an integer n>1,
which determines its grading properties, and an n-tuple of positive integers
(m_1,m_2,...,m_n). We identify the algebras of supersymmetry, p=2
parasupersymmetry, and fractional supersymmetry of order n with those of the
Z_2-graded TS of type (1,1), Z_2-graded TS of type (2,1), and Z_n-graded TS of
type (1,1,...,1), respectively. We also comment on the mathematical
interpretation of the topological invariants associated with the Z_n-graded TS
of type (1,1,...,1). For n=2, the invariant is the Witten index which can be
identified with the analytic index of a Fredholm operator. For n>2, there are n
independent integer-valued invariants. These can be related to differences of
the dimension of the kernels of various products of n operators satisfying
certain conditions.
| [
{
"created": "Sun, 2 Jul 2000 15:54:57 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Dec 2000 14:28:01 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Samani",
"K. Aghababaei",
""
],
[
"Mostafazadeh",
"A.",
""
]
] | We give the definition and explore the algebraic structure of a class of quantum symmetries, called topological symmetries, which are generalizations of supersymmetry in the sense that they involve topological invariants similar to the Witten index. A topological symmetry (TS) is specified by an integer n>1, which determines its grading properties, and an n-tuple of positive integers (m_1,m_2,...,m_n). We identify the algebras of supersymmetry, p=2 parasupersymmetry, and fractional supersymmetry of order n with those of the Z_2-graded TS of type (1,1), Z_2-graded TS of type (2,1), and Z_n-graded TS of type (1,1,...,1), respectively. We also comment on the mathematical interpretation of the topological invariants associated with the Z_n-graded TS of type (1,1,...,1). For n=2, the invariant is the Witten index which can be identified with the analytic index of a Fredholm operator. For n>2, there are n independent integer-valued invariants. These can be related to differences of the dimension of the kernels of various products of n operators satisfying certain conditions. |
0802.3966 | Nicholas Vlachos D | C.N. Ragiadakos | Renormalizability of a mofified generally covariant Yang-Mills action | 17 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A modified generally covariant Yang-Mills action, which depends on the
complex structure of spacetime and not its metric, is proved to be
renormalizable. This proof makes this Lagrangian model the unique known
generally covariant four dimensional model to be renormalizable without higher
order derivatives. The first order one-loop diagrams are computed in an
appropriate gauge condition and they are found to be finite.
| [
{
"created": "Wed, 27 Feb 2008 08:01:57 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Mar 2008 13:47:12 GMT",
"version": "v2"
}
] | 2008-03-13 | [
[
"Ragiadakos",
"C. N.",
""
]
] | A modified generally covariant Yang-Mills action, which depends on the complex structure of spacetime and not its metric, is proved to be renormalizable. This proof makes this Lagrangian model the unique known generally covariant four dimensional model to be renormalizable without higher order derivatives. The first order one-loop diagrams are computed in an appropriate gauge condition and they are found to be finite. |
hep-th/9409090 | null | Alexander Molev | Noncommutative symmetric functions and Laplace operators for classical
Lie algebras | 25 pages | Lett.Math.Phys. 35 (1995) 135-143 | 10.1007/BF00750763 | CMA MRR, September 1994 | hep-th math.QA | null | New systems of Laplace (Casimir) operators for the orthogonal and symplectic
Lie algebras are constructed. The operators are expressed in terms of paths in
graphs related to matrices formed by the generators of these Lie algebras with
the use of some properties of the noncommutative symmetric functions associated
with a matrix. The decomposition of the Sklyanin determinant into a product of
quasi-determinants play the main role in the construction. Analogous
decomposition for the quantum determinant provides an alternative proof of the
known construction for the Lie algebra gl(N).
| [
{
"created": "Fri, 16 Sep 1994 01:26:42 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Molev",
"Alexander",
""
]
] | New systems of Laplace (Casimir) operators for the orthogonal and symplectic Lie algebras are constructed. The operators are expressed in terms of paths in graphs related to matrices formed by the generators of these Lie algebras with the use of some properties of the noncommutative symmetric functions associated with a matrix. The decomposition of the Sklyanin determinant into a product of quasi-determinants play the main role in the construction. Analogous decomposition for the quantum determinant provides an alternative proof of the known construction for the Lie algebra gl(N). |
1811.10633 | Francesco Muia | Bobby Samir Acharya, Anshuman Maharana and Francesco Muia | Hidden Sectors in String Theory: Kinetic Mixings, Fifth Forces and
Quintessence | null | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Light moduli fields in string compactifications can have interesting
implications for particle physics and cosmology. Fifth force bounds impose
stringent constraints on the interactions of such moduli with the visible
sector. To be consistent with the bounds, they need to be part of hidden
sectors which interact with the Standard Model with weaker-than-Planck
suppressed interactions. We consider scenarios in which the visible sector
degrees of freedom are localised in the compactification and light moduli arise
as closed string degrees of freedom associated with hidden sectors which are
geometrically separated (in the extra-dimensions) from the Standard Model.
Kinetic mixings lead to interactions between the moduli and the visible sector
- we compute these using Kaehler potentials of string/M-theory
compactifications. We argue that in general these interactions provide a lower
bound on the strength of the interactions between the moduli and the visible
sector. The interactions scale with inverse powers of the volume of the
compactification, thus fifth force bounds can be translated to lower bounds on
the volume of the extra-dimensions. We find that compactification volumes have
to be large to evade the bounds. This imposes interesting constraints on
quintessence model building in string theory. Our results for the strength of
the interactions can also be used to quantify the fine-tuning necessary for the
stability of the potential of a light modulus against quantum corrections
involving visible sector loops.
| [
{
"created": "Mon, 26 Nov 2018 19:00:08 GMT",
"version": "v1"
}
] | 2018-11-28 | [
[
"Acharya",
"Bobby Samir",
""
],
[
"Maharana",
"Anshuman",
""
],
[
"Muia",
"Francesco",
""
]
] | Light moduli fields in string compactifications can have interesting implications for particle physics and cosmology. Fifth force bounds impose stringent constraints on the interactions of such moduli with the visible sector. To be consistent with the bounds, they need to be part of hidden sectors which interact with the Standard Model with weaker-than-Planck suppressed interactions. We consider scenarios in which the visible sector degrees of freedom are localised in the compactification and light moduli arise as closed string degrees of freedom associated with hidden sectors which are geometrically separated (in the extra-dimensions) from the Standard Model. Kinetic mixings lead to interactions between the moduli and the visible sector - we compute these using Kaehler potentials of string/M-theory compactifications. We argue that in general these interactions provide a lower bound on the strength of the interactions between the moduli and the visible sector. The interactions scale with inverse powers of the volume of the compactification, thus fifth force bounds can be translated to lower bounds on the volume of the extra-dimensions. We find that compactification volumes have to be large to evade the bounds. This imposes interesting constraints on quintessence model building in string theory. Our results for the strength of the interactions can also be used to quantify the fine-tuning necessary for the stability of the potential of a light modulus against quantum corrections involving visible sector loops. |
hep-th/9506204 | null | J.S.Dowker and J.S.Apps | Functional determinants on certain domains | 14p, plain TeX, talk presented at the 6th Moscow Quantum Gravity
Seminar, Moscow, June 12-19, 1995.(Minor errors corrected.) | Int.J.Mod.Phys.D5:799-812,1996 | 10.1142/S0218271896000485 | MUTP/95/9 | hep-th | null | Functional determinants on various domains of the sphere and flat space are
presented for scalar and spinor fields.
| [
{
"created": "Fri, 30 Jun 1995 13:41:51 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Jul 1995 08:30:53 GMT",
"version": "v2"
}
] | 2011-04-20 | [
[
"Dowker",
"J. S.",
""
],
[
"Apps",
"J. S.",
""
]
] | Functional determinants on various domains of the sphere and flat space are presented for scalar and spinor fields. |
0708.0561 | Alexander Vikman | Eugeny Babichev, Viatcheslav Mukhanov, Alexander Vikman | k-Essence, superluminal propagation, causality and emergent geometry | 34 pages, 5 figures | JHEP 0802:101,2008 | 10.1088/1126-6708/2008/02/101 | LMU-ASC 54/07 | hep-th astro-ph gr-qc | null | The k-essence theories admit in general the superluminal propagation of the
perturbations on classical backgrounds. We show that in spite of the
superluminal propagation the causal paradoxes do not arise in these theories
and in this respect they are not less safe than General Relativity.
| [
{
"created": "Fri, 3 Aug 2007 18:33:14 GMT",
"version": "v1"
}
] | 2011-02-25 | [
[
"Babichev",
"Eugeny",
""
],
[
"Mukhanov",
"Viatcheslav",
""
],
[
"Vikman",
"Alexander",
""
]
] | The k-essence theories admit in general the superluminal propagation of the perturbations on classical backgrounds. We show that in spite of the superluminal propagation the causal paradoxes do not arise in these theories and in this respect they are not less safe than General Relativity. |
0804.1870 | Koushik Ray | Koushik Ray | String networks as tropical curves | 9 pages, 2 pictures. 1 Reference added | JHEP 0809:098,2008 | 10.1088/1126-6708/2008/09/098 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A prescription for obtaining supergravity solutions for planar (p,q)-string
networks is presented, based on earlier results. It shows that networks may be
looked upon as tropical curves emerging as the spine of the amoeba of a
holomorphic curve in M-theory. The Kaehler potential of supergravity is
identified with the corresponding Ronkin function. Implications of this
identification in counting dyons is discussed.
| [
{
"created": "Fri, 11 Apr 2008 10:16:22 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Aug 2008 04:57:36 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Ray",
"Koushik",
""
]
] | A prescription for obtaining supergravity solutions for planar (p,q)-string networks is presented, based on earlier results. It shows that networks may be looked upon as tropical curves emerging as the spine of the amoeba of a holomorphic curve in M-theory. The Kaehler potential of supergravity is identified with the corresponding Ronkin function. Implications of this identification in counting dyons is discussed. |
1612.05698 | Phuc Nguyen | Bartlomiej Czech, Phuc H. Nguyen, Sivaramakrishnan Swaminathan | A defect in holographic interpretations of tensor networks | v2: changed to match published version | JHEP 1703 (2017) 090 | 10.1007/JHEP03(2017)090 | UTTG--23--16 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We initiate the study of how tensor networks reproduce properties of static
holographic space-times, which are not locally pure anti-de Sitter. We consider
geometries that are holographically dual to ground states of defect, interface
and boundary CFTs and compare them to the structure of the requisite MERA
networks predicted by the theory of minimal updates. When the CFT is deformed,
certain tensors require updating. On the other hand, even identical tensors can
contribute differently to estimates of entanglement entropies. We interpret
these facts holographically by associating tensor updates to turning on
non-normalizable modes in the bulk. In passing, we also clarify and complement
existing arguments in support of the theory of minimal updates, propose a novel
ansatz called rayed MERA that applies to a class of generalized interface CFTs,
and analyze the kinematic spaces of the thin wall and AdS3-Janus geometries.
| [
{
"created": "Sat, 17 Dec 2016 03:19:09 GMT",
"version": "v1"
},
{
"created": "Sun, 23 Apr 2017 00:06:54 GMT",
"version": "v2"
}
] | 2017-04-25 | [
[
"Czech",
"Bartlomiej",
""
],
[
"Nguyen",
"Phuc H.",
""
],
[
"Swaminathan",
"Sivaramakrishnan",
""
]
] | We initiate the study of how tensor networks reproduce properties of static holographic space-times, which are not locally pure anti-de Sitter. We consider geometries that are holographically dual to ground states of defect, interface and boundary CFTs and compare them to the structure of the requisite MERA networks predicted by the theory of minimal updates. When the CFT is deformed, certain tensors require updating. On the other hand, even identical tensors can contribute differently to estimates of entanglement entropies. We interpret these facts holographically by associating tensor updates to turning on non-normalizable modes in the bulk. In passing, we also clarify and complement existing arguments in support of the theory of minimal updates, propose a novel ansatz called rayed MERA that applies to a class of generalized interface CFTs, and analyze the kinematic spaces of the thin wall and AdS3-Janus geometries. |
hep-th/0606079 | Diego Julio Cirilo-Lombardo | Diego Julio Cirilo-Lombardo | Non-Abelian Born-Infeld action, geometry and supersymmetry | In memory of my professors Anatoly I. Pashnev and Constantino
Ferro-Fontan. Full version and figures in journal | Class.Quant.Grav. 22 (2005) 4987-5004 | 10.1088/0264-9381/22/23/005 | null | hep-th | null | In this work, we propose a new non-abelian generalization of the Born- Infeld
lagrangian. It is based on a geometrical property of the abelian Born-Infeld
lagrangian in its determinantal form. Our goal is to extend the abelian second
type Born-Infeld action to the non-abelian form preserving this geometrical
property, that permits to compute the generalized volume element as a linear
combination of the components of metric and the Yang-Mills energy-momentum
tensors. Under BPS-like condition, the action proposed reduces to that of
Yang-Mills theory, independently of the gauge group. New instanton-wormhole
solution and static and spherically symmetric solution in curved space-time for
a SU(2) isotopic ansatz is solved and the N=1 supersymmetric extension of the
model is performed.
| [
{
"created": "Fri, 9 Jun 2006 06:43:16 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Cirilo-Lombardo",
"Diego Julio",
""
]
] | In this work, we propose a new non-abelian generalization of the Born- Infeld lagrangian. It is based on a geometrical property of the abelian Born-Infeld lagrangian in its determinantal form. Our goal is to extend the abelian second type Born-Infeld action to the non-abelian form preserving this geometrical property, that permits to compute the generalized volume element as a linear combination of the components of metric and the Yang-Mills energy-momentum tensors. Under BPS-like condition, the action proposed reduces to that of Yang-Mills theory, independently of the gauge group. New instanton-wormhole solution and static and spherically symmetric solution in curved space-time for a SU(2) isotopic ansatz is solved and the N=1 supersymmetric extension of the model is performed. |
2006.05809 | Evgeny Skvortsov D | Evgeny Skvortsov, Tung Tran and Mirian Tsulaia | A Stringy theory in three dimensions and Massive Higher Spins | 5 pages | Phys. Rev. D 102, 126010 (2020) | 10.1103/PhysRevD.102.126010 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An example of a consistent theory with massive higher spin fields is
constructed in flat space-time of dimension three. The action is written in the
light-cone gauge. The theory has certain stringy features, e.g. its spectrum is
unbounded in spin and mass, the theory admits Chan-Paton factors. The quartic
and the higher tree-level amplitudes vanish, which softens the UV behaviour at
the loop level and provides a new mechanism of how massive higher spin states
can resolve the Quantum Gravity Problem.
| [
{
"created": "Wed, 10 Jun 2020 12:56:59 GMT",
"version": "v1"
}
] | 2021-01-04 | [
[
"Skvortsov",
"Evgeny",
""
],
[
"Tran",
"Tung",
""
],
[
"Tsulaia",
"Mirian",
""
]
] | An example of a consistent theory with massive higher spin fields is constructed in flat space-time of dimension three. The action is written in the light-cone gauge. The theory has certain stringy features, e.g. its spectrum is unbounded in spin and mass, the theory admits Chan-Paton factors. The quartic and the higher tree-level amplitudes vanish, which softens the UV behaviour at the loop level and provides a new mechanism of how massive higher spin states can resolve the Quantum Gravity Problem. |
hep-th/0108232 | Noriaki Kitazawa | Noriaki Kitazawa | Gravitino condensation in fivebrane backgrounds | 16 pages, 1 figure | Phys.Rev. D65 (2002) 086004 | 10.1103/PhysRevD.65.086004 | null | hep-th | null | We calculate the tension of the D3-brane in the fivebrane background which is
described by the exactly solvable SU(2)_k x U(1) world-sheet conformal field
theory with large Kac-Moody level k. The D3-brane tension is extracted from the
amplitude of one closed string exchange between two parallel D3-branes, and the
amplitude is calculated by utilizing the open-closed string duality. The
tension of the D3-brane in the background does not coincide with the one in the
flat space-time even in the flat space-time limit: k -> infinity. The finite
curvature effect should vanish in the flat space-time limit and only the
topological effect can remain. Therefore, the deviation indicates the
condensation of gravitino and/or dilatino which has been expected in the
fivebrane background as a gravitational instanton.
| [
{
"created": "Fri, 31 Aug 2001 05:11:05 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Sep 2001 10:13:43 GMT",
"version": "v2"
},
{
"created": "Tue, 4 Sep 2001 03:54:48 GMT",
"version": "v3"
},
{
"created": "Tue, 15 Jan 2002 08:32:03 GMT",
"version": "v4"
}
] | 2009-11-07 | [
[
"Kitazawa",
"Noriaki",
""
]
] | We calculate the tension of the D3-brane in the fivebrane background which is described by the exactly solvable SU(2)_k x U(1) world-sheet conformal field theory with large Kac-Moody level k. The D3-brane tension is extracted from the amplitude of one closed string exchange between two parallel D3-branes, and the amplitude is calculated by utilizing the open-closed string duality. The tension of the D3-brane in the background does not coincide with the one in the flat space-time even in the flat space-time limit: k -> infinity. The finite curvature effect should vanish in the flat space-time limit and only the topological effect can remain. Therefore, the deviation indicates the condensation of gravitino and/or dilatino which has been expected in the fivebrane background as a gravitational instanton. |
1905.05225 | Johanna Knapp | David Erkinger, Johanna Knapp | Refined swampland distance conjecture and exotic hybrid Calabi-Yaus | 41 pages, 9 figures | null | 10.1007/JHEP07(2019)029 | UWThPh2019-14 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We test the refined swampland distance conjecture in the Kahler moduli space
of exotic one-parameter Calabi-Yaus. We focus on examples with pseudo-hybrid
points. These points, whose properties are not well-understood, are at finite
distance in the moduli space. We explicitly compute the lengths of geodesics
from such points to the large volume regime and show that the refined swampland
distance conjecture holds. To compute the metric we use the sphere partition
function of the gauged linear sigma model. We discuss several examples in
detail, including one example associated to a gauged linear sigma model with
non-abelian gauge group.
| [
{
"created": "Mon, 13 May 2019 18:19:17 GMT",
"version": "v1"
}
] | 2020-01-08 | [
[
"Erkinger",
"David",
""
],
[
"Knapp",
"Johanna",
""
]
] | We test the refined swampland distance conjecture in the Kahler moduli space of exotic one-parameter Calabi-Yaus. We focus on examples with pseudo-hybrid points. These points, whose properties are not well-understood, are at finite distance in the moduli space. We explicitly compute the lengths of geodesics from such points to the large volume regime and show that the refined swampland distance conjecture holds. To compute the metric we use the sphere partition function of the gauged linear sigma model. We discuss several examples in detail, including one example associated to a gauged linear sigma model with non-abelian gauge group. |
hep-th/0111229 | J. F. Vazquez-Poritz | J.F. Vazquez-Poritz | Gravity-Trapping Domain Walls From Resolved Branes | 11 pages, 4 figures, LaTeX | JHEP 0209 (2002) 001 | 10.1088/1126-6708/2002/09/001 | null | hep-th | null | All previous Randall-Sundrum type models have required a Z_2 identification
source which does not have a known string theoretic origin. We show that the
near-horizon of various resolved branes on an Eguchi-Hanson instanton
dimensionally reduce to a five-dimensional domain wall that traps gravity,
without an additional delta-function source. This brings us substantially
closer to embedding infinite extra dimensions in M-theory. Also, this provides
us with a brane world model for a strongly-coupled Yang-Mills field theory with
quark-antiquark charge screening at finite separation distance.
| [
{
"created": "Sun, 25 Nov 2001 19:58:06 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Vazquez-Poritz",
"J. F.",
""
]
] | All previous Randall-Sundrum type models have required a Z_2 identification source which does not have a known string theoretic origin. We show that the near-horizon of various resolved branes on an Eguchi-Hanson instanton dimensionally reduce to a five-dimensional domain wall that traps gravity, without an additional delta-function source. This brings us substantially closer to embedding infinite extra dimensions in M-theory. Also, this provides us with a brane world model for a strongly-coupled Yang-Mills field theory with quark-antiquark charge screening at finite separation distance. |
hep-th/0202104 | E. H. Saidi | E.H Saidi | NC Geometry and Discrete Torsion Fractional Branes:I | 63 pages 4 figures | null | null | Lab/UFR-HEP/02-02 | hep-th | null | Considering the complex n-dimension Calabi-Yau homogeneous hyper-surfaces
${\cal H}_{n}$ and using algebraic geometry methods, we develop the crossed
product algebra method, introduced by Berenstein et Leigh in hep-th/0105229,
and build the non commutative (NC) geometries for orbifolds ${\cal O}={\cal
H}_{n}/{\bf Z}_{n+2}^{n}$ with a discrete torsion matrix
$t_{ab}=exp[{\frac{i2\pi}{n+2}}{(\eta_{ab}-\eta_{ba})}]$, $\eta_{ab} \in
SL(n,{\bf Z})$. We show that the NC manifolds ${\cal O}^{(nc)}$ are given by
the algebra of functions on the real $(2n+4)$ Fuzzy torus ${\cal
T}^{2(n+2)}_{\beta_{ij}}$ with deformation parameters
$\beta_{ij}=exp{\frac{i2\pi}{n+2}}{[(\eta^{-1}_{ab}-\eta^{-1}_{ba})} q_{i}^{a}
q_{j}^{b}]$, $q_{i}^{a}$'s being Calabi-Yau charges of ${\bf Z}_{n+2}^{n}$. We
develop graph rules to represent ${\cal O}^{(nc)}$ by quiver diagrams which
become completely reducible at singularities. Generic points in these NC
geometries are be represented by polygons with $(n+2)$ vertices linked by
$(n+2)$ edges while singular ones are given by $(n+2)$ non connected loops. We
study the various singular spaces of quintic orbifolds and analyze the
varieties of fractional $D$ branes at singularities as well as the spectrum of
massless fields. Explicit solutions for the NC quintic ${\cal Q}^{(nc)}$ are
derived with details and general results for complex $n$ dimension orbifolds
with discrete torsion are presented.
| [
{
"created": "Sun, 17 Feb 2002 15:11:32 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Saidi",
"E. H",
""
]
] | Considering the complex n-dimension Calabi-Yau homogeneous hyper-surfaces ${\cal H}_{n}$ and using algebraic geometry methods, we develop the crossed product algebra method, introduced by Berenstein et Leigh in hep-th/0105229, and build the non commutative (NC) geometries for orbifolds ${\cal O}={\cal H}_{n}/{\bf Z}_{n+2}^{n}$ with a discrete torsion matrix $t_{ab}=exp[{\frac{i2\pi}{n+2}}{(\eta_{ab}-\eta_{ba})}]$, $\eta_{ab} \in SL(n,{\bf Z})$. We show that the NC manifolds ${\cal O}^{(nc)}$ are given by the algebra of functions on the real $(2n+4)$ Fuzzy torus ${\cal T}^{2(n+2)}_{\beta_{ij}}$ with deformation parameters $\beta_{ij}=exp{\frac{i2\pi}{n+2}}{[(\eta^{-1}_{ab}-\eta^{-1}_{ba})} q_{i}^{a} q_{j}^{b}]$, $q_{i}^{a}$'s being Calabi-Yau charges of ${\bf Z}_{n+2}^{n}$. We develop graph rules to represent ${\cal O}^{(nc)}$ by quiver diagrams which become completely reducible at singularities. Generic points in these NC geometries are be represented by polygons with $(n+2)$ vertices linked by $(n+2)$ edges while singular ones are given by $(n+2)$ non connected loops. We study the various singular spaces of quintic orbifolds and analyze the varieties of fractional $D$ branes at singularities as well as the spectrum of massless fields. Explicit solutions for the NC quintic ${\cal Q}^{(nc)}$ are derived with details and general results for complex $n$ dimension orbifolds with discrete torsion are presented. |
1112.5785 | Jens Mund | Jacques Bros and Jens Mund | Braid group statistics implies scattering in three-dimensional local
quantum physics | 25 pages, 4 figures. Comment on model-building added in the
introduction | Commun. Math. Phys. 315 (2012) 465-488 | 10.1007/s00220-012-1560-6 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is shown that particles with braid group statistics (Plektons) in
three-dimensional space-time cannot be free, in a quite elementary sense: They
must exhibit elastic two-particle scattering into every solid angle, and at
every energy. This also implies that for such particles there cannot be any
operators localized in wedge regions which create only single particle states
from the vacuum and which are well-behaved under the space-time translations
(so-called temperate polarization-free generators). These results considerably
strengthen an earlier "NoGo-theorem for 'free' relativistic Anyons".
As a by-product we extend a fact which is well-known in quantum field theory
to the case of topological charges (i.e., charges localized in space-like
cones) in d>3, namely: If there is no elastic two-particle scattering into some
arbitrarily small open solid angle element, then the 2-particle S-matrix is
trivial.
| [
{
"created": "Sun, 25 Dec 2011 16:59:03 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Jan 2012 18:20:56 GMT",
"version": "v2"
}
] | 2012-09-28 | [
[
"Bros",
"Jacques",
""
],
[
"Mund",
"Jens",
""
]
] | It is shown that particles with braid group statistics (Plektons) in three-dimensional space-time cannot be free, in a quite elementary sense: They must exhibit elastic two-particle scattering into every solid angle, and at every energy. This also implies that for such particles there cannot be any operators localized in wedge regions which create only single particle states from the vacuum and which are well-behaved under the space-time translations (so-called temperate polarization-free generators). These results considerably strengthen an earlier "NoGo-theorem for 'free' relativistic Anyons". As a by-product we extend a fact which is well-known in quantum field theory to the case of topological charges (i.e., charges localized in space-like cones) in d>3, namely: If there is no elastic two-particle scattering into some arbitrarily small open solid angle element, then the 2-particle S-matrix is trivial. |
2308.08587 | Atakan Hilmi F{\i}rat | Harold Erbin and Atakan Hilmi F{\i}rat | Open string stub as an auxiliary string field | 29+10 pages, 3 figures; v2: version published in SciPost | SciPost Phys. 17, 044 (2024) | 10.21468/SciPostPhys.17.2.044 | MIT-CTP/5594 | hep-th | http://creativecommons.org/licenses/by/4.0/ | Witten's open string field theory with a generalized version of stubs is
reformulated as a cubic string field theory using an auxiliary string field.
The gauge symmetries and equations of motion as well as the associative algebra
of the resulting theory are investigated. Integrating out either the original
or auxiliary field is shown to recover the conventional cubic theory. Our
analysis demonstrates that deformations due to the stubs can be described as a
homotopy transfer purely in the context of strong deformation retract. We also
discuss to what extent the vertex regions resulting from stubs provide a model
for the elementary interactions of closed string field theory.
| [
{
"created": "Wed, 16 Aug 2023 18:00:00 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Aug 2024 15:31:43 GMT",
"version": "v2"
}
] | 2024-08-12 | [
[
"Erbin",
"Harold",
""
],
[
"Fırat",
"Atakan Hilmi",
""
]
] | Witten's open string field theory with a generalized version of stubs is reformulated as a cubic string field theory using an auxiliary string field. The gauge symmetries and equations of motion as well as the associative algebra of the resulting theory are investigated. Integrating out either the original or auxiliary field is shown to recover the conventional cubic theory. Our analysis demonstrates that deformations due to the stubs can be described as a homotopy transfer purely in the context of strong deformation retract. We also discuss to what extent the vertex regions resulting from stubs provide a model for the elementary interactions of closed string field theory. |
hep-th/9912063 | Konstantin G. Zloshchastiev | Konstantin G. Zloshchastiev | Field-to-particle transition based on the zero-brane approach to
quantization of multiscalar field theories and its application for
Jackiw-Teitelboim gravity | final version; REVTeX, no figures | Phys.Rev. D61 (2000) 125017 | 10.1103/PhysRevD.61.125017 | null | hep-th gr-qc hep-ph nucl-th | null | The field-to-particle transition formalizm based on the effective zero-brane
action approach is generalized for arbitrary multiscalar fields. As a fruitful
example, by virtue of this method we derive the non-minimal particle action for
the Jackiw-Teitelboim gravity at fixed gauge in the vicinity of the black hole
solution as an instanton-dilaton doublet. When quantizing it as the theory with
higher derivatives, it is shown that the appearing quantum equation has SU(2)
dynamical symmetry group realizing the exact spin-coordinate correspondence.
Finally, we calculate the quantum corrections to the mass of the JT black hole.
| [
{
"created": "Wed, 8 Dec 1999 08:47:29 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Dec 1999 14:06:41 GMT",
"version": "v2"
},
{
"created": "Fri, 26 May 2000 01:21:08 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Zloshchastiev",
"Konstantin G.",
""
]
] | The field-to-particle transition formalizm based on the effective zero-brane action approach is generalized for arbitrary multiscalar fields. As a fruitful example, by virtue of this method we derive the non-minimal particle action for the Jackiw-Teitelboim gravity at fixed gauge in the vicinity of the black hole solution as an instanton-dilaton doublet. When quantizing it as the theory with higher derivatives, it is shown that the appearing quantum equation has SU(2) dynamical symmetry group realizing the exact spin-coordinate correspondence. Finally, we calculate the quantum corrections to the mass of the JT black hole. |
hep-th/0205041 | Kudoh Hideaki | Hideaki Kudoh and Takahiro Tanaka | Second order perturbations in the radius stabilized Randall-Sundrum two
branes model II -- Effect of relaxing strong coupling approximation -- | 12 pages, No figures, typos corrected | Phys.Rev. D67 (2003) 044011 | 10.1103/PhysRevD.67.044011 | KUNS-1784, YITP-02-32 | hep-th gr-qc | null | We discuss gravitational perturbations in the Randall-Sundrum two branes
model with radius stabilization. Following the idea by Goldberger and Wise for
the radius stabilization, we introduce a scalar field which has potentials
localized on the branes in addition to a bulk potential. In our previous paper
we discussed gravitational perturbations induced by static, spherically
symmetric and nonrelativistic matter distribution on the branes under the
condition that the values of the scalar field on the respective branes cannot
fluctuate due to its extremely narrow brane potentials. We call this case the
strong coupling limit. Our concern in this paper is to generalize our previous
analysis relaxing the limitation of taking the strong coupling limit. We find
that new corrections in metric perturbations due to relaxing the strong
coupling limit enhance the deviation from the 4D Einstein gravity only in some
exceptional cases. In the case that matter fields reside on the negative
tension brane, the stabilized radion mass becomes very small when the new
correction becomes large.
| [
{
"created": "Mon, 6 May 2002 12:01:18 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Jan 2003 00:52:50 GMT",
"version": "v2"
},
{
"created": "Thu, 20 Feb 2003 15:37:43 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Kudoh",
"Hideaki",
""
],
[
"Tanaka",
"Takahiro",
""
]
] | We discuss gravitational perturbations in the Randall-Sundrum two branes model with radius stabilization. Following the idea by Goldberger and Wise for the radius stabilization, we introduce a scalar field which has potentials localized on the branes in addition to a bulk potential. In our previous paper we discussed gravitational perturbations induced by static, spherically symmetric and nonrelativistic matter distribution on the branes under the condition that the values of the scalar field on the respective branes cannot fluctuate due to its extremely narrow brane potentials. We call this case the strong coupling limit. Our concern in this paper is to generalize our previous analysis relaxing the limitation of taking the strong coupling limit. We find that new corrections in metric perturbations due to relaxing the strong coupling limit enhance the deviation from the 4D Einstein gravity only in some exceptional cases. In the case that matter fields reside on the negative tension brane, the stabilized radion mass becomes very small when the new correction becomes large. |
2108.01403 | Dine Ousmane Samary | Harold Erbin, Vincent Lahoche and Dine Ousmane Samary | Nonperturbative renormalization for the neural network-QFT
correspondence | 63 pages, 13 figures (published version) | Mach. Learn.: Sci. Technol. 3 (2022) 015027 | 10.1088/2632-2153/ac4f69 | MIT-CTP/5309 | hep-th cond-mat.dis-nn cs.LG stat.ML | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a recent work arXiv:2008.08601, Halverson, Maiti and Stoner proposed a
description of neural networks in terms of a Wilsonian effective field theory.
The infinite-width limit is mapped to a free field theory, while finite $N$
corrections are taken into account by interactions (non-Gaussian terms in the
action). In this paper, we study two related aspects of this correspondence.
First, we comment on the concepts of locality and power-counting in this
context. Indeed, these usual space-time notions may not hold for neural
networks (since inputs can be arbitrary), however, the renormalization group
provides natural notions of locality and scaling. Moreover, we comment on
several subtleties, for example, that data components may not have a
permutation symmetry: in that case, we argue that random tensor field theories
could provide a natural generalization. Second, we improve the perturbative
Wilsonian renormalization from arXiv:2008.08601 by providing an analysis in
terms of the nonperturbative renormalization group using the Wetterich-Morris
equation. An important difference with usual nonperturbative RG analysis is
that only the effective (IR) 2-point function is known, which requires setting
the problem with care. Our aim is to provide a useful formalism to investigate
neural networks behavior beyond the large-width limit (i.e.~far from Gaussian
limit) in a nonperturbative fashion. A major result of our analysis is that
changing the standard deviation of the neural network weight distribution can
be interpreted as a renormalization flow in the space of networks. We focus on
translations invariant kernels and provide preliminary numerical results.
| [
{
"created": "Tue, 3 Aug 2021 10:36:04 GMT",
"version": "v1"
},
{
"created": "Sat, 26 Feb 2022 18:36:51 GMT",
"version": "v2"
}
] | 2022-03-01 | [
[
"Erbin",
"Harold",
""
],
[
"Lahoche",
"Vincent",
""
],
[
"Samary",
"Dine Ousmane",
""
]
] | In a recent work arXiv:2008.08601, Halverson, Maiti and Stoner proposed a description of neural networks in terms of a Wilsonian effective field theory. The infinite-width limit is mapped to a free field theory, while finite $N$ corrections are taken into account by interactions (non-Gaussian terms in the action). In this paper, we study two related aspects of this correspondence. First, we comment on the concepts of locality and power-counting in this context. Indeed, these usual space-time notions may not hold for neural networks (since inputs can be arbitrary), however, the renormalization group provides natural notions of locality and scaling. Moreover, we comment on several subtleties, for example, that data components may not have a permutation symmetry: in that case, we argue that random tensor field theories could provide a natural generalization. Second, we improve the perturbative Wilsonian renormalization from arXiv:2008.08601 by providing an analysis in terms of the nonperturbative renormalization group using the Wetterich-Morris equation. An important difference with usual nonperturbative RG analysis is that only the effective (IR) 2-point function is known, which requires setting the problem with care. Our aim is to provide a useful formalism to investigate neural networks behavior beyond the large-width limit (i.e.~far from Gaussian limit) in a nonperturbative fashion. A major result of our analysis is that changing the standard deviation of the neural network weight distribution can be interpreted as a renormalization flow in the space of networks. We focus on translations invariant kernels and provide preliminary numerical results. |
2106.07835 | Zhencheng Wang | Donald Marolf, Zhencheng Wang | Time-independence of gravitational R\'enyi entropies and unitarity in
quantum gravity | 30 pages, 6 figures | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Hubeny-Rangamani-Takayanagi surface $\gamma_{HRT}$ computing the entropy
$S(D)$ of a domain of dependence $D$ on an asymptotically AdS boundary is known
to be causally inaccessible from $D$. We generalize this gravitational result
to higher replica numbers $n >1$ by considering the replica-invariant surfaces
(aka `splitting surfaces') $\boldsymbol{\mathbf{\gamma}}$ of real-time
replica-wormhole saddle-points computing R\'enyi entropies $S_n(D)$ and showing
that there is a sense in which $D$ must again be causally inaccessible from
$\boldsymbol{\mathbf{\gamma}}$ when the saddle preserves both replica and
conjugation symmetry. This property turns out to imply the $S_n(D)$ to be
independent of any choice of any Cauchy surface $\Sigma_D$ for $D$, and also
that the $S_n(D)$ are independent of the choice of boundary sources within $D$.
This is a key hallmark of unitary evolution in any dual field theory.
Furthermore, from the bulk point of view it adds to the evidence that time
evolution of asymptotic observables in quantum gravity is implemented by a
unitary operator in each baby universe superselection sector. Though we focus
here on pure Einstein-Hilbert gravity and its Kaluza-Klein reductions, we
expect the argument to extend to any two-derivative theory who satisfies the
null convergence condition. We consider both classical saddles and the effect
of back-reaction from quantum corrections.
| [
{
"created": "Tue, 15 Jun 2021 01:56:36 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Jul 2021 23:57:52 GMT",
"version": "v2"
}
] | 2021-07-08 | [
[
"Marolf",
"Donald",
""
],
[
"Wang",
"Zhencheng",
""
]
] | The Hubeny-Rangamani-Takayanagi surface $\gamma_{HRT}$ computing the entropy $S(D)$ of a domain of dependence $D$ on an asymptotically AdS boundary is known to be causally inaccessible from $D$. We generalize this gravitational result to higher replica numbers $n >1$ by considering the replica-invariant surfaces (aka `splitting surfaces') $\boldsymbol{\mathbf{\gamma}}$ of real-time replica-wormhole saddle-points computing R\'enyi entropies $S_n(D)$ and showing that there is a sense in which $D$ must again be causally inaccessible from $\boldsymbol{\mathbf{\gamma}}$ when the saddle preserves both replica and conjugation symmetry. This property turns out to imply the $S_n(D)$ to be independent of any choice of any Cauchy surface $\Sigma_D$ for $D$, and also that the $S_n(D)$ are independent of the choice of boundary sources within $D$. This is a key hallmark of unitary evolution in any dual field theory. Furthermore, from the bulk point of view it adds to the evidence that time evolution of asymptotic observables in quantum gravity is implemented by a unitary operator in each baby universe superselection sector. Though we focus here on pure Einstein-Hilbert gravity and its Kaluza-Klein reductions, we expect the argument to extend to any two-derivative theory who satisfies the null convergence condition. We consider both classical saddles and the effect of back-reaction from quantum corrections. |
hep-th/9510099 | Okumura Yoshitaka | Katsusada Morita, Yoshitaka Okumura | Non-Commutative Differential Geometry and Standard Model | 27 pages | Prog.Theor.Phys. 95 (1996) 227-248 | 10.1143/PTP.95.227 | DPNU-95-27 | hep-th | null | We incorporate Sogami's idea in the standard model into our previous
formulation of non-commutative differential geometry by extending the action of
the extra exterior derivative operator on spinors defined over the discrete
space-time; four dimensinal Minkovski space multiplyed by two point discrete
space. The extension consists in making it possible to require that the
operator become nilpotent when acting on the spinors. It is shown that the
generalized field strength leads to the most general, gauge-invariant
Yang-Mills-Higgs Lagrangian even if the extra exterior derivative operator is
not nilpotent, while the fermionic part remains intact. The proof is given for
a single Higgs model. The method is applied to reformulate the standard model
by putting left-handed fermion doublets on the upper sheet and right-handed
fermion singlets on the lower sheet with generation mixing among quarks being
taken into account. We also present a matrix calculus of the method without
referring to the discrete space-time.
| [
{
"created": "Tue, 17 Oct 1995 08:24:58 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Morita",
"Katsusada",
""
],
[
"Okumura",
"Yoshitaka",
""
]
] | We incorporate Sogami's idea in the standard model into our previous formulation of non-commutative differential geometry by extending the action of the extra exterior derivative operator on spinors defined over the discrete space-time; four dimensinal Minkovski space multiplyed by two point discrete space. The extension consists in making it possible to require that the operator become nilpotent when acting on the spinors. It is shown that the generalized field strength leads to the most general, gauge-invariant Yang-Mills-Higgs Lagrangian even if the extra exterior derivative operator is not nilpotent, while the fermionic part remains intact. The proof is given for a single Higgs model. The method is applied to reformulate the standard model by putting left-handed fermion doublets on the upper sheet and right-handed fermion singlets on the lower sheet with generation mixing among quarks being taken into account. We also present a matrix calculus of the method without referring to the discrete space-time. |
0812.2431 | Alin Tirziu | R. Ishizeki, M. Kruczenski, A. Tirziu and A.A. Tseytlin | Spiky strings in AdS_3 x S^1 and their AdS-pp-wave limits | 34 pages, 4 figures; v2: references added; v3: typos corrected | Phys.Rev.D79:026006,2009 | 10.1103/PhysRevD.79.026006 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a class of classical solutions for closed strings moving in AdS_3 x
S^1 part of AdS_5 x S^5 with energy E and spin S in AdS_3 and angular momentum
J and winding m in S^1. They have rigid shape with n spikes in AdS_3. We find
that when J or m are non-zero, the spikes do not end in cusps. We consider in
detail a special large n limit in which S ~ n^2, J ~ n, i.e. S >> J >> 1, with
(E+S)/ n^2, (E-S)/ n, J/n, m/n staying finite. In that limit the spiky spinning
string approaches the boundary of AdS_5. We show that the corresponding
solution can be interpreted as describing a periodic-spike string moving in
AdS_3 --pp-wave x S^1 background. The resulting expression for the string
energy should represent a strong-coupling prediction for anomalous dimension of
a class of dual gauge theory states in a particular thermodynamic limit of the
SL(2) spin chain.
| [
{
"created": "Fri, 12 Dec 2008 17:15:29 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Jan 2009 19:13:56 GMT",
"version": "v2"
},
{
"created": "Thu, 25 Feb 2010 19:58:25 GMT",
"version": "v3"
}
] | 2010-02-25 | [
[
"Ishizeki",
"R.",
""
],
[
"Kruczenski",
"M.",
""
],
[
"Tirziu",
"A.",
""
],
[
"Tseytlin",
"A. A.",
""
]
] | We study a class of classical solutions for closed strings moving in AdS_3 x S^1 part of AdS_5 x S^5 with energy E and spin S in AdS_3 and angular momentum J and winding m in S^1. They have rigid shape with n spikes in AdS_3. We find that when J or m are non-zero, the spikes do not end in cusps. We consider in detail a special large n limit in which S ~ n^2, J ~ n, i.e. S >> J >> 1, with (E+S)/ n^2, (E-S)/ n, J/n, m/n staying finite. In that limit the spiky spinning string approaches the boundary of AdS_5. We show that the corresponding solution can be interpreted as describing a periodic-spike string moving in AdS_3 --pp-wave x S^1 background. The resulting expression for the string energy should represent a strong-coupling prediction for anomalous dimension of a class of dual gauge theory states in a particular thermodynamic limit of the SL(2) spin chain. |
1411.7423 | Pedro Lisbao | Finn Larsen and Pedro Lisbao | Quantum Corrections to Supergravity on AdS$_2\times S^2$ | 46 pages + appendices. V2 has minor typos fixed, and an extra
appendix | Phys. Rev. D 91, 084056 (2015) | 10.1103/PhysRevD.91.084056 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the off-shell spectrum of supergravity on AdS$_2\times S^2$ by
explicit diagonalization of the equations of motion for an effective AdS$_2$
theory where all fields are dualized to scalars and spin-${1\over 2}$ fermions.
Classifying all bulk modes as physical, gauge violating, and pure gauge let us
identify boundary modes as physical fields on $S^2$ that are formally pure
gauge but with gauge function that is non-normalizable on AdS$_2$. As an
application we compute the leading quantum correction to AdS$_2\times S^2$ as a
sum over physical fields including boundary states.
| [
{
"created": "Wed, 26 Nov 2014 23:31:21 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Feb 2015 16:15:42 GMT",
"version": "v2"
}
] | 2015-05-06 | [
[
"Larsen",
"Finn",
""
],
[
"Lisbao",
"Pedro",
""
]
] | We compute the off-shell spectrum of supergravity on AdS$_2\times S^2$ by explicit diagonalization of the equations of motion for an effective AdS$_2$ theory where all fields are dualized to scalars and spin-${1\over 2}$ fermions. Classifying all bulk modes as physical, gauge violating, and pure gauge let us identify boundary modes as physical fields on $S^2$ that are formally pure gauge but with gauge function that is non-normalizable on AdS$_2$. As an application we compute the leading quantum correction to AdS$_2\times S^2$ as a sum over physical fields including boundary states. |
hep-th/0309151 | Frank Ferrari | Frank Ferrari (U. of Neuchatel and CERN) | Planar diagrams and Calabi-Yau spaces | 46 pages including 4 figures and 2 appendices | Adv.Theor.Math.Phys. 7 (2004) 619-665 | null | NEIP-03-002, CERN-TH/2003-143, LPTENS-03/23 | hep-th math.AG | null | Large N geometric transitions and the Dijkgraaf-Vafa conjecture suggest a
deep relationship between the sum over planar diagrams and Calabi-Yau
threefolds. We explore this correspondence in details, explaining how to
construct the Calabi-Yau for a large class of M-matrix models, and how the
geometry encodes the correlators. We engineer in particular two-matrix theories
with potentials W(X,Y) that reduce to arbitrary functions in the commutative
limit. We apply the method to calculate all correlators <tr X^{p}> and <tr
Y^{p}> in models of the form W(X,Y)=V(X)+U(Y)-XY and
W(X,Y)=V(X)+YU(Y^{2})+XY^{2}. The solution of the latter example was not known,
but when U is a constant we are able to solve the loop equations, finding a
precise match with the geometric approach. We also discuss special geometry in
multi-matrix models, and we derive an important property, the entanglement of
eigenvalues, governing the expansion around classical vacua for which the
matrices do not commute.
| [
{
"created": "Mon, 15 Sep 2003 22:32:26 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Dec 2003 21:26:35 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Ferrari",
"Frank",
"",
"U. of Neuchatel and CERN"
]
] | Large N geometric transitions and the Dijkgraaf-Vafa conjecture suggest a deep relationship between the sum over planar diagrams and Calabi-Yau threefolds. We explore this correspondence in details, explaining how to construct the Calabi-Yau for a large class of M-matrix models, and how the geometry encodes the correlators. We engineer in particular two-matrix theories with potentials W(X,Y) that reduce to arbitrary functions in the commutative limit. We apply the method to calculate all correlators <tr X^{p}> and <tr Y^{p}> in models of the form W(X,Y)=V(X)+U(Y)-XY and W(X,Y)=V(X)+YU(Y^{2})+XY^{2}. The solution of the latter example was not known, but when U is a constant we are able to solve the loop equations, finding a precise match with the geometric approach. We also discuss special geometry in multi-matrix models, and we derive an important property, the entanglement of eigenvalues, governing the expansion around classical vacua for which the matrices do not commute. |
1710.10027 | Andrei Mironov | H. Itoyama, A. Mironov, A. Morozov | Cut and join operator ring in Aristotelian tensor model | 55 pages | Nucl.Phys. B932 (2018) 52-118 | 10.1016/j.nuclphysb.2018.05.007 | FIAN/TD-23/17; IITP/TH-17/17; ITEP/TH-30/17; OCU-PHYS-472 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recent advancement of rainbow tensor models based on their superintegrability
(manifesting itself as the existence of an explicit expression for a generic
Gaussian correlator) has allowed us to bypass the long-standing problem seen as
the lack of eigenvalue/determinant representation needed to establish the
KP/Toda integrability. As the mandatory next step, we discuss in this paper how
to provide an adequate designation to each of the connected gauge-invariant
operators that form a double coset, which is required to cleverly formulate a
tree-algebra generalization of the Virasoro constraints. This problem goes
beyond the enumeration problem per se tied to the permutation group, forcing us
to introduce a few gauge fixing procedures to the coset. We point out that the
permutation-based labeling, which has proven to be relevant for the Gaussian
averages is, via interesting complexity, related to the one based on the
keystone trees, whose algebra will provide the tensor counterpart of the
Virasoro algebra for matrix models. Moreover, our simple analysis reveals the
existence of nontrivial kernels and co-kernels for the cut operation and for
the join operation respectively that prevent a straightforward construction of
the non-perturbative RG-complete partition function and the identification of
truly independent time variables. We demonstrate these problems by the simplest
non-trivial Aristotelian RGB model with one complex rank-3 tensor, studying its
ring of gauge-invariant operators, generated by the keystone triple with the
help of four operations: addition, multiplication, cut and join.
| [
{
"created": "Fri, 27 Oct 2017 08:38:03 GMT",
"version": "v1"
}
] | 2018-05-23 | [
[
"Itoyama",
"H.",
""
],
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
]
] | Recent advancement of rainbow tensor models based on their superintegrability (manifesting itself as the existence of an explicit expression for a generic Gaussian correlator) has allowed us to bypass the long-standing problem seen as the lack of eigenvalue/determinant representation needed to establish the KP/Toda integrability. As the mandatory next step, we discuss in this paper how to provide an adequate designation to each of the connected gauge-invariant operators that form a double coset, which is required to cleverly formulate a tree-algebra generalization of the Virasoro constraints. This problem goes beyond the enumeration problem per se tied to the permutation group, forcing us to introduce a few gauge fixing procedures to the coset. We point out that the permutation-based labeling, which has proven to be relevant for the Gaussian averages is, via interesting complexity, related to the one based on the keystone trees, whose algebra will provide the tensor counterpart of the Virasoro algebra for matrix models. Moreover, our simple analysis reveals the existence of nontrivial kernels and co-kernels for the cut operation and for the join operation respectively that prevent a straightforward construction of the non-perturbative RG-complete partition function and the identification of truly independent time variables. We demonstrate these problems by the simplest non-trivial Aristotelian RGB model with one complex rank-3 tensor, studying its ring of gauge-invariant operators, generated by the keystone triple with the help of four operations: addition, multiplication, cut and join. |
1510.09199 | Qiyuan Pan | Qiyuan Pan and Shao-Jun Zhang | Revisiting holographic superconductors with hyperscaling violation | 21 pages, 7 figures, 1 table, improved version | Eur. Phys. J. C 76, 126 (2016) | 10.1140/epjc/s10052-016-3980-5 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the effect of the hyperscaling violation on the holographic
superconductors. In the s-wave model, we find that the critical temperature
decreases first and then increases as the hyperscaling violation increases, and
the mass of the scalar field will not modify the value of the hyperscaling
violation which gives the minimum critical temperature. We analytically confirm
the numerical results by using the Sturm-Liouville method with the higher order
trial function and improve the previous findings in J. High Energy Phys. {\bf
09}, 048 (2013). However, different from the s-wave case, we note that the
critical temperature decreases with the increase of the hyperscaling violation
in the p-wave model. In addition, we observe that the hyperscaling violation
affects the conductivity of the holographic superconductors and changes the
expected relation in the gap frequency in both s-wave and p-wave models.
| [
{
"created": "Fri, 30 Oct 2015 18:55:21 GMT",
"version": "v1"
},
{
"created": "Sun, 29 Nov 2015 03:08:07 GMT",
"version": "v2"
}
] | 2016-04-08 | [
[
"Pan",
"Qiyuan",
""
],
[
"Zhang",
"Shao-Jun",
""
]
] | We investigate the effect of the hyperscaling violation on the holographic superconductors. In the s-wave model, we find that the critical temperature decreases first and then increases as the hyperscaling violation increases, and the mass of the scalar field will not modify the value of the hyperscaling violation which gives the minimum critical temperature. We analytically confirm the numerical results by using the Sturm-Liouville method with the higher order trial function and improve the previous findings in J. High Energy Phys. {\bf 09}, 048 (2013). However, different from the s-wave case, we note that the critical temperature decreases with the increase of the hyperscaling violation in the p-wave model. In addition, we observe that the hyperscaling violation affects the conductivity of the holographic superconductors and changes the expected relation in the gap frequency in both s-wave and p-wave models. |
hep-th/9312102 | Christof Gattringer | Christof Gattringer and Erhard Seiler | Functional Integral Approach to the N-Flavor Schwinger Model | 28 pages, MPI-Ph/93-56 | Annals Phys. 233 (1994) 97-124 | 10.1006/aphy.1994.1062 | null | hep-th | null | We study massless QED_2 with N flavors using path integrals. We identify the
sector that is generated by the N^2 classically conserved vector currents. One
of them (the U(1) current) creates a massive particle, while the others create
massless ones. We show that the mass spectrum obeys a Witten-Veneziano type
formula. Two theorems on n-point functions clarify the structure of the Hilbert
space. Evaluation of the Fredenhagen-Marcu order parameter indicates that a
confining force exists only between charges that are integer multiples of +/-
Ne, whereas charges that are nonzero mod(N) screen their confining forces and
lead to non-vacuum sectors. Finally we identify operators that violate
clustering, and decompose the theory into clustering theta vacua.
| [
{
"created": "Mon, 13 Dec 1993 16:26:50 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Gattringer",
"Christof",
""
],
[
"Seiler",
"Erhard",
""
]
] | We study massless QED_2 with N flavors using path integrals. We identify the sector that is generated by the N^2 classically conserved vector currents. One of them (the U(1) current) creates a massive particle, while the others create massless ones. We show that the mass spectrum obeys a Witten-Veneziano type formula. Two theorems on n-point functions clarify the structure of the Hilbert space. Evaluation of the Fredenhagen-Marcu order parameter indicates that a confining force exists only between charges that are integer multiples of +/- Ne, whereas charges that are nonzero mod(N) screen their confining forces and lead to non-vacuum sectors. Finally we identify operators that violate clustering, and decompose the theory into clustering theta vacua. |
2007.06770 | Daniel Luiz Nedel | Daniel L. Nedel | Time dependent Entanglement Entropy in SYK models and Page Curve | Minor corrections; references added | null | 10.1016/j.physletb.2021.136340 | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work new interaction terms between two SYK models are proposed, which
allow to define an interaction picture such that it is possible to calculate
exactly the vacuum state's time evolution. It is shown that the vacuum evolves
as a time dependent $SU(2)$ squezed state. The time dependent entanglement
entropy is calculated and it has the same form of the Page curve of Black Hole
formation and evaporation.
| [
{
"created": "Tue, 14 Jul 2020 02:08:49 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Jul 2020 17:32:42 GMT",
"version": "v2"
}
] | 2021-06-02 | [
[
"Nedel",
"Daniel L.",
""
]
] | In this work new interaction terms between two SYK models are proposed, which allow to define an interaction picture such that it is possible to calculate exactly the vacuum state's time evolution. It is shown that the vacuum evolves as a time dependent $SU(2)$ squezed state. The time dependent entanglement entropy is calculated and it has the same form of the Page curve of Black Hole formation and evaporation. |
hep-th/9809194 | Jesper Christiansen | Jesper Christiansen | Odd-flavored QCD_3 and Random Matrix Theory | 12 pages, Latex2e, 1 figure. Misprints corrected, minor changes in
wording, one reference changed | Nucl.Phys. B547 (1999) 329-342 | 10.1016/S0550-3213(99)00091-7 | NBI-HE-98-31 | hep-th | null | We consider QCD_3 with an odd number of flavors in the mesoscopic scaling
region where the field theory finite-volume partition function is equivalent to
a random matrix theory partition function. We argue that the theory is parity
invariant at the classical level if an odd number of masses are zero. By
introducing so-called pseudo-orthogonal polynomials we are able to relate the
kernel to the kernel of the chiral unitary ensemble in the sector of
topological charge $\nu={1/2}$. We prove universality and are able to write the
kernel in the microscopic limit in terms of field theory finite-volume
partition functions.
| [
{
"created": "Mon, 28 Sep 1998 14:02:17 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Oct 1998 15:48:49 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Christiansen",
"Jesper",
""
]
] | We consider QCD_3 with an odd number of flavors in the mesoscopic scaling region where the field theory finite-volume partition function is equivalent to a random matrix theory partition function. We argue that the theory is parity invariant at the classical level if an odd number of masses are zero. By introducing so-called pseudo-orthogonal polynomials we are able to relate the kernel to the kernel of the chiral unitary ensemble in the sector of topological charge $\nu={1/2}$. We prove universality and are able to write the kernel in the microscopic limit in terms of field theory finite-volume partition functions. |
2312.00697 | Oliver Schlotterer | Hadleigh Frost, Martijn Hidding, Deepak Kamlesh, Carlos Rodriguez,
Oliver Schlotterer and Bram Verbeek | Motivic coaction and single-valued map of polylogarithms from zeta
generators | 12 pages | null | null | null | hep-th math.AG math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce a new Lie-algebraic approach to explicitly construct the motivic
coaction and single-valued map of multiple polylogarithms in any number of
variables. In both cases, the appearance of multiple zeta values is controlled
by conjugating generating series of polylogarithms with Lie-algebra generators
associated with odd zeta values. Our reformulation of earlier constructions of
coactions and single-valued polylogarithms preserves choices of fibration
bases, exposes the correlation between multiple zeta values of different depths
and paves the way for generalizations beyond genus zero.
| [
{
"created": "Fri, 1 Dec 2023 16:29:23 GMT",
"version": "v1"
}
] | 2023-12-04 | [
[
"Frost",
"Hadleigh",
""
],
[
"Hidding",
"Martijn",
""
],
[
"Kamlesh",
"Deepak",
""
],
[
"Rodriguez",
"Carlos",
""
],
[
"Schlotterer",
"Oliver",
""
],
[
"Verbeek",
"Bram",
""
]
] | We introduce a new Lie-algebraic approach to explicitly construct the motivic coaction and single-valued map of multiple polylogarithms in any number of variables. In both cases, the appearance of multiple zeta values is controlled by conjugating generating series of polylogarithms with Lie-algebra generators associated with odd zeta values. Our reformulation of earlier constructions of coactions and single-valued polylogarithms preserves choices of fibration bases, exposes the correlation between multiple zeta values of different depths and paves the way for generalizations beyond genus zero. |
hep-th/0304076 | Saurya Das | M. M. Akbar (DAMTP), Saurya Das (UNB) | Entropy Corrections for Schwarzschild and Reissner-Nordstr\"om Black
Holes | 6 pages, Revtex. References added, minor changes. Version to appear
in Class. Quant. Grav | Class.Quant.Grav.21:1383-1392,2004 | 10.1088/0264-9381/21/6/007 | null | hep-th gr-qc | null | Schwarzschild black hole being thermodynamically unstable, corrections to its
entropy due to small thermal fluctuations cannot be computed. However, a
thermodynamically stable Schwarzschild solution can be obtained within a cavity
of any finite radius by immersing it in an isothermal bath. For these boundary
conditions, classically there are either two black hole solutions or no
solution. In the former case, the larger mass solution has a positive specific
heat and hence is locally thermodynamically stable. We find that the entropy of
this black hole, including first order fluctuation corrections is given by:
${\cal S} = S_{BH} - \ln[\f{3}{R} (S_{BH}/4\p)^{1/2} -2]^{-1} + (1/2)
\ln(4\p)$, where $S_{BH}=A/4$ is its Bekenstein-Hawking entropy and $R$ is the
radius of the cavity. We extend our results to four dimensional
Reissner-Nordstr\"om black holes, for which the corresponding expression is:
${\cal S} = S_{BH} - \f{1}{2} \ln [ {(S_{BH}/\p R^2) ({3S_{BH}}/{\p R^2} -
2\sqrt{{S_{BH}}/{\p R^2 -\a^2}}) \le(\sqrt{{S_{BH}}/{\p R^2}} - \a^2 \ri)}/
{\le({S_{BH}}/{\p R^2} -\a^2 \ri)^2} ]^{-1} +(1/2)\ln(4\p).$ Finally, we
generalise the stability analysis to Reissner-Nordstr\"om black holes in
arbitrary spacetime dimensions, and compute their leading order entropy
corrections. In contrast to previously studied examples, we find that the
entropy corrections in these cases have a different character.
| [
{
"created": "Wed, 9 Apr 2003 19:40:48 GMT",
"version": "v1"
},
{
"created": "Sat, 24 Jan 2004 23:25:04 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Akbar",
"M. M.",
"",
"DAMTP"
],
[
"Das",
"Saurya",
"",
"UNB"
]
] | Schwarzschild black hole being thermodynamically unstable, corrections to its entropy due to small thermal fluctuations cannot be computed. However, a thermodynamically stable Schwarzschild solution can be obtained within a cavity of any finite radius by immersing it in an isothermal bath. For these boundary conditions, classically there are either two black hole solutions or no solution. In the former case, the larger mass solution has a positive specific heat and hence is locally thermodynamically stable. We find that the entropy of this black hole, including first order fluctuation corrections is given by: ${\cal S} = S_{BH} - \ln[\f{3}{R} (S_{BH}/4\p)^{1/2} -2]^{-1} + (1/2) \ln(4\p)$, where $S_{BH}=A/4$ is its Bekenstein-Hawking entropy and $R$ is the radius of the cavity. We extend our results to four dimensional Reissner-Nordstr\"om black holes, for which the corresponding expression is: ${\cal S} = S_{BH} - \f{1}{2} \ln [ {(S_{BH}/\p R^2) ({3S_{BH}}/{\p R^2} - 2\sqrt{{S_{BH}}/{\p R^2 -\a^2}}) \le(\sqrt{{S_{BH}}/{\p R^2}} - \a^2 \ri)}/ {\le({S_{BH}}/{\p R^2} -\a^2 \ri)^2} ]^{-1} +(1/2)\ln(4\p).$ Finally, we generalise the stability analysis to Reissner-Nordstr\"om black holes in arbitrary spacetime dimensions, and compute their leading order entropy corrections. In contrast to previously studied examples, we find that the entropy corrections in these cases have a different character. |
hep-th/9509163 | R. E. Asquith | Becca Asquith | Non-Commutative Geometry and the Strong Force | 7 pages, LATEX (minor grammatical changes) | Phys.Lett. B366 (1996) 220-223 | 10.1016/0370-2693(95)01344-X | DTP/95/49 CPT-95/P.3239 | hep-th | null | The restrictions imposed on the strong force in the `non-commutative standard
model' are examined. It is concluded that given the framework of
non-commutative geometry and assuming the electroweak sector of the standard
model many details of the strong force can be explained including its vectorial
nature.
| [
{
"created": "Thu, 28 Sep 1995 08:16:39 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Oct 1995 16:06:07 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Asquith",
"Becca",
""
]
] | The restrictions imposed on the strong force in the `non-commutative standard model' are examined. It is concluded that given the framework of non-commutative geometry and assuming the electroweak sector of the standard model many details of the strong force can be explained including its vectorial nature. |
1011.4051 | Elena Gubankova | E. Gubankova, J. Brill, M. Cubrovic, K. Schalm, P. Schijven, J. Zaanen | Holographic fermions in external magnetic fields | 34 pages, 14 figures | Phys.Rev.D84:106003,2011 | 10.1103/PhysRevD.84.106003 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the Fermi level structure of 2+1-dimensional strongly interacting
electron systems in external magnetic field using the AdS/CFT correspondence.
The gravity dual of a finite density fermion system is a Dirac field in the
background of the dyonic AdS-Reissner-Nordstrom black hole. In the probe limit
the magnetic system can be reduced to the non-magnetic one, with
Landau-quantized momenta and rescaled thermodynamical variables. We find that
at strong enough magnetic fields, the Fermi surface vanishes and the
quasiparticle is lost either through a crossover to conformal regime or through
a phase transition to an unstable Fermi surface. In the latter case, the
vanishing Fermi velocity at the critical magnetic field triggers the non-Fermi
liquid regime with unstable quasiparticles and a change in transport properties
of the system. We associate it with a metal-"strange metal" phase transition.
Next we compute the DC Hall and longitudinal conductivities using the
gravity-dressed fermion propagators. For dual fermions with a large charge,
many different Fermi surfaces contribute and the Hall conductivity is quantized
as expected for integer Quantum Hall Effect (QHE). At strong magnetic fields,
as additional Fermi surfaces open up, new plateaus typical for the fractional
QHE appear. The somewhat irregular pattern in the length of fractional QHE
plateaus resemble the outcomes of experiments on thin graphite in a strong
magnetic field. Finally, motivated by the absence of the sign problem in
holography, we suggest a lattice approach to the AdS calculations of finite
density systems.
| [
{
"created": "Wed, 17 Nov 2010 20:42:31 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Dec 2011 13:55:44 GMT",
"version": "v2"
}
] | 2013-05-29 | [
[
"Gubankova",
"E.",
""
],
[
"Brill",
"J.",
""
],
[
"Cubrovic",
"M.",
""
],
[
"Schalm",
"K.",
""
],
[
"Schijven",
"P.",
""
],
[
"Zaanen",
"J.",
""
]
] | We study the Fermi level structure of 2+1-dimensional strongly interacting electron systems in external magnetic field using the AdS/CFT correspondence. The gravity dual of a finite density fermion system is a Dirac field in the background of the dyonic AdS-Reissner-Nordstrom black hole. In the probe limit the magnetic system can be reduced to the non-magnetic one, with Landau-quantized momenta and rescaled thermodynamical variables. We find that at strong enough magnetic fields, the Fermi surface vanishes and the quasiparticle is lost either through a crossover to conformal regime or through a phase transition to an unstable Fermi surface. In the latter case, the vanishing Fermi velocity at the critical magnetic field triggers the non-Fermi liquid regime with unstable quasiparticles and a change in transport properties of the system. We associate it with a metal-"strange metal" phase transition. Next we compute the DC Hall and longitudinal conductivities using the gravity-dressed fermion propagators. For dual fermions with a large charge, many different Fermi surfaces contribute and the Hall conductivity is quantized as expected for integer Quantum Hall Effect (QHE). At strong magnetic fields, as additional Fermi surfaces open up, new plateaus typical for the fractional QHE appear. The somewhat irregular pattern in the length of fractional QHE plateaus resemble the outcomes of experiments on thin graphite in a strong magnetic field. Finally, motivated by the absence of the sign problem in holography, we suggest a lattice approach to the AdS calculations of finite density systems. |
1308.1973 | Sotaro Sugishita | Sotaro Sugishita and Seiji Terashima | Exact Results in Supersymmetric Field Theories on Manifolds with
Boundaries | 52 pages, typos corrected and references added | JHEP 1311(2013) 021 | 10.1007/JHEP11(2013)021 | KUNS-2458, YITP-13-72 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct supersymmetric gauge theories on some curved manifolds with
boundaries. Our examples include a part of three-sphere and a part of
two-sphere. We concentrate on Dirichlet boundary conditions. For these theories
on the manifolds with the boundaries, we compute the partition functions and
the Wilson loops exactly using the localization technique.
| [
{
"created": "Thu, 8 Aug 2013 20:42:54 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Aug 2013 06:18:56 GMT",
"version": "v2"
}
] | 2013-11-19 | [
[
"Sugishita",
"Sotaro",
""
],
[
"Terashima",
"Seiji",
""
]
] | We construct supersymmetric gauge theories on some curved manifolds with boundaries. Our examples include a part of three-sphere and a part of two-sphere. We concentrate on Dirichlet boundary conditions. For these theories on the manifolds with the boundaries, we compute the partition functions and the Wilson loops exactly using the localization technique. |
hep-th/0607113 | Patricio Gaete | Patricio Gaete and Eduardo Guendelman | Confinement from spontaneous breaking of scale symmetry | 6 pages | Phys.Lett.B640:201-204,2006 | 10.1016/j.physletb.2006.08.002 | USM-TH-188 | hep-th | null | We show that one can obtain naturally the confinement of static charges from
the spontaneous symmetry breaking of scale invariance in a gauge theory. At the
classical level a confining force is obtained and at the quantum level, using a
gauge invariant but path-dependent variables formalism, the Cornell confining
potential is explicitly obtained. Our procedure answers completely to the
requirements by 't Hooft for ''perturbative confinement''.
| [
{
"created": "Mon, 17 Jul 2006 15:57:40 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Gaete",
"Patricio",
""
],
[
"Guendelman",
"Eduardo",
""
]
] | We show that one can obtain naturally the confinement of static charges from the spontaneous symmetry breaking of scale invariance in a gauge theory. At the classical level a confining force is obtained and at the quantum level, using a gauge invariant but path-dependent variables formalism, the Cornell confining potential is explicitly obtained. Our procedure answers completely to the requirements by 't Hooft for ''perturbative confinement''. |
2111.04715 | Aditya Bawane | Teresa Bautista, Aditya Bawane | Boundary timelike Liouville theory: bulk 1-point & boundary 2-point
functions | 36 pages. Additional comments about normalization in Section 3.
Results unchanged | null | 10.1103/PhysRevD.106.126011 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider timelike Liouville theory with FZZT-like boundary conditions. The
bulk one-point and boundary two-point structure constants on a disk are derived
using bootstrap. We find that these structure constants are not the analytic
continuations of their spacelike counterparts.
| [
{
"created": "Mon, 8 Nov 2021 18:49:36 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Jul 2022 17:38:44 GMT",
"version": "v2"
}
] | 2022-12-28 | [
[
"Bautista",
"Teresa",
""
],
[
"Bawane",
"Aditya",
""
]
] | We consider timelike Liouville theory with FZZT-like boundary conditions. The bulk one-point and boundary two-point structure constants on a disk are derived using bootstrap. We find that these structure constants are not the analytic continuations of their spacelike counterparts. |
hep-th/9706102 | Dongsu Bak | Dongsu Bak and Hyuk-jae Lee | Moduli Space Dynamics of a First-Order Vortex System | 9 pages, Latex, Corrections included | Phys.Lett. B432 (1998) 175-181 | 10.1016/S0370-2693(98)00600-5 | SCU-TP-97-1003 | hep-th cond-mat | null | The moduli space dynamics of vortices in the Jackiw-Pi model where a
non-relativistic Schrodinger field couples minimally to Chern-Simons gauge
field, is considered. It is shown that the difficulties in direct application
of Manton's method to obtain a moduli-space metric in the first order system
can be circumvented by turning the Lagrangian into a second order system. We
obtain exact metrics for some simple cases and describe how the vortices
respond to an external U(1) field. We then construct an effective Lagrangian
describing dynamics of the vortices. In addition, we clarify strong-weak
coupling duality between fundamental particles and vortices.
| [
{
"created": "Fri, 13 Jun 1997 05:42:00 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Jun 1997 09:44:52 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Bak",
"Dongsu",
""
],
[
"Lee",
"Hyuk-jae",
""
]
] | The moduli space dynamics of vortices in the Jackiw-Pi model where a non-relativistic Schrodinger field couples minimally to Chern-Simons gauge field, is considered. It is shown that the difficulties in direct application of Manton's method to obtain a moduli-space metric in the first order system can be circumvented by turning the Lagrangian into a second order system. We obtain exact metrics for some simple cases and describe how the vortices respond to an external U(1) field. We then construct an effective Lagrangian describing dynamics of the vortices. In addition, we clarify strong-weak coupling duality between fundamental particles and vortices. |
1709.00461 | Luca Smaldone | Massimo Blasone, Petr Jizba, Luca Smaldone | Generalized generating functional for mixed-representation Green's
functions: A quantum mechanical approach | 14 pages | Phys. Rev. A 96, 052107 (2017) | 10.1103/PhysRevA.96.052107 | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | When one tries to take into account the non-trivial vacuum structure of
Quantum Field Theory, the standard functional-integral tools such as generating
functionals or transitional amplitudes, are often quite inadequate for such
purposes. Here we propose a generalized generating functional for Green's
functions which allows to easily distinguish among a continuous set of vacua
that are mutually connected via unitary canonical transformations. In order to
keep our discussion as simple as possible, we limit ourselves to Quantum
Mechanics where the generating functional of Green's functions is constructed
by means of phase-space path integrals. The quantum-mechanical setting allows
to accentuate the main logical steps involved without embarking on technical
complications such as renormalization or inequivalent representations that
should otherwise be addressed in the full-fledged Quantum Field Theory. We
illustrate the inner workings of the generating functional obtained by
discussing Green's functions among vacua that are mutually connected via
translations and dilatations. Salient issues, including connection with Quantum
Field Theory, vacuum-to-vacuum transition amplitudes and perturbation expansion
in the vacuum parameter are also briefly discussed.
| [
{
"created": "Fri, 1 Sep 2017 20:10:40 GMT",
"version": "v1"
}
] | 2017-11-15 | [
[
"Blasone",
"Massimo",
""
],
[
"Jizba",
"Petr",
""
],
[
"Smaldone",
"Luca",
""
]
] | When one tries to take into account the non-trivial vacuum structure of Quantum Field Theory, the standard functional-integral tools such as generating functionals or transitional amplitudes, are often quite inadequate for such purposes. Here we propose a generalized generating functional for Green's functions which allows to easily distinguish among a continuous set of vacua that are mutually connected via unitary canonical transformations. In order to keep our discussion as simple as possible, we limit ourselves to Quantum Mechanics where the generating functional of Green's functions is constructed by means of phase-space path integrals. The quantum-mechanical setting allows to accentuate the main logical steps involved without embarking on technical complications such as renormalization or inequivalent representations that should otherwise be addressed in the full-fledged Quantum Field Theory. We illustrate the inner workings of the generating functional obtained by discussing Green's functions among vacua that are mutually connected via translations and dilatations. Salient issues, including connection with Quantum Field Theory, vacuum-to-vacuum transition amplitudes and perturbation expansion in the vacuum parameter are also briefly discussed. |
hep-th/9301040 | null | L. Frappat, E. Ragoucy and P. Sorba | Folding the W Algebras | 27 pages, Latex | Nucl.Phys. B404 (1993) 805-838 | 10.1016/0550-3213(93)90598-J | null | hep-th | null | In the same way the folding of the Dynkin diagram of A_{2n} (resp. A_{2n-1})
produces the B_n (resp. C_n) Dynkin diagram, the symmetry algebra W of a Toda
model based on B_n (resp. C_n) can be seen as resulting from the folding of a
W-algebra based on A_{2n} (resp. A_{2n-1}). More generally, W algebras related
to the B-C-D algebra series can appear from W algebras related to the unitary
ones. Such an approach is in particular well adapted to obtain fusion rules of
W algebras based on non simply laced algebras from fusion rules corresponding
to the A_n case. Anagously, super W algebras associated to orthosymplectic
superalgebras are deduced from those relative to the unitary A(m,n) series.
| [
{
"created": "Tue, 12 Jan 1993 09:48:20 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Frappat",
"L.",
""
],
[
"Ragoucy",
"E.",
""
],
[
"Sorba",
"P.",
""
]
] | In the same way the folding of the Dynkin diagram of A_{2n} (resp. A_{2n-1}) produces the B_n (resp. C_n) Dynkin diagram, the symmetry algebra W of a Toda model based on B_n (resp. C_n) can be seen as resulting from the folding of a W-algebra based on A_{2n} (resp. A_{2n-1}). More generally, W algebras related to the B-C-D algebra series can appear from W algebras related to the unitary ones. Such an approach is in particular well adapted to obtain fusion rules of W algebras based on non simply laced algebras from fusion rules corresponding to the A_n case. Anagously, super W algebras associated to orthosymplectic superalgebras are deduced from those relative to the unitary A(m,n) series. |
hep-th/0507013 | Delia Schwartz- Perlov | Delia Schwartz-Perlov and Ken D. Olum | Energy conditions for a generally coupled scalar field outside a
reflecting sphere | Accepted for publication in Phys. Rev. D | Phys.Rev. D72 (2005) 065013 | 10.1103/PhysRevD.72.065013 | null | hep-th | null | We calculate the stress-energy tensor for a scalar field with general
curvature coupling, outside a perfectly reflecting sphere with Dirichlet
boundary conditions. For conformal coupling we find that the null energy
condition is always obeyed, and therefore the averaged null energy condition
(ANEC) is also obeyed. Since the ANEC is independent of curvature coupling, we
conclude that the ANEC is obeyed for scalar fields with any curvature coupling
in this situation. We also show how the spherical case goes over to that of a
flat plate as one approaches the sphere.
| [
{
"created": "Fri, 1 Jul 2005 13:42:38 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Jul 2005 16:03:30 GMT",
"version": "v2"
},
{
"created": "Fri, 2 Sep 2005 12:56:45 GMT",
"version": "v3"
}
] | 2009-11-11 | [
[
"Schwartz-Perlov",
"Delia",
""
],
[
"Olum",
"Ken D.",
""
]
] | We calculate the stress-energy tensor for a scalar field with general curvature coupling, outside a perfectly reflecting sphere with Dirichlet boundary conditions. For conformal coupling we find that the null energy condition is always obeyed, and therefore the averaged null energy condition (ANEC) is also obeyed. Since the ANEC is independent of curvature coupling, we conclude that the ANEC is obeyed for scalar fields with any curvature coupling in this situation. We also show how the spherical case goes over to that of a flat plate as one approaches the sphere. |
hep-th/9802025 | Kazuo Fujikawa | Kazuo Fujikawa (Dept. of Phys., Univ. of Tokyo) | Fluctuation-dissipation theorem and quantum tunneling with dissipation | To appear in Phys. Rev. E | Phys.Rev. E57 (1998) 5023-5029 | 10.1103/PhysRevE.57.5023 | UT-804 | hep-th cond-mat | null | We suggest to take the fluctuation-dissipation theorem of Callen and Welton
as a basis to study quantum dissipative phenomena (such as macroscopic quantum
tunneling) in a manner analogous to the Nambu-Goldstone theorem for spontaneous
symmetry breakdown. It is shown that the essential physical contents of the
Caldeira-Leggett model such as the suppression of quantum coherence by Ohmic
dissipation are derived from general principles only, namely, the
fluctuation-dissipation theorem and unitarity and causality (i.e., dispersion
relations), without referring to an explicit form of the Lagrangian. An
interesting connection between quantum tunneling with Ohmic dissipation and the
Anderson's orthogonality theorem is also noted.
| [
{
"created": "Thu, 5 Feb 1998 10:27:22 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Fujikawa",
"Kazuo",
"",
"Dept. of Phys., Univ. of Tokyo"
]
] | We suggest to take the fluctuation-dissipation theorem of Callen and Welton as a basis to study quantum dissipative phenomena (such as macroscopic quantum tunneling) in a manner analogous to the Nambu-Goldstone theorem for spontaneous symmetry breakdown. It is shown that the essential physical contents of the Caldeira-Leggett model such as the suppression of quantum coherence by Ohmic dissipation are derived from general principles only, namely, the fluctuation-dissipation theorem and unitarity and causality (i.e., dispersion relations), without referring to an explicit form of the Lagrangian. An interesting connection between quantum tunneling with Ohmic dissipation and the Anderson's orthogonality theorem is also noted. |
2106.10256 | Gustav Mogull | Gustav Uhre Jakobsen, Gustav Mogull, Jan Plefka, and Jan Steinhoff | Gravitational Bremsstrahlung and Hidden Supersymmetry of Spinning Bodies | 7 pages + references, 2 figures | null | 10.1103/PhysRevLett.128.011101 | HU-EP-21/15-RTG | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The recently established formalism of a worldline quantum field theory, which
describes the classical scattering of massive bodies in Einstein gravity, is
generalized up to quadratic order in spin -- for a pair of Kerr black holes
revealing a hidden ${\mathcal N}=2$ supersymmetry. The far-field time-domain
waveform of the gravitational waves produced in such a spinning encounter is
computed at leading order in the post-Minkowskian (weak field, but generic
velocity) expansion, and exhibits this supersymmetry. From the waveform we
extract the leading-order total radiated angular momentum in a generic
reference frame, and the total radiated energy in the center-of-mass frame to
leading order in a low-velocity approximation.
| [
{
"created": "Fri, 18 Jun 2021 17:45:12 GMT",
"version": "v1"
},
{
"created": "Sun, 5 Dec 2021 12:24:28 GMT",
"version": "v2"
}
] | 2022-10-05 | [
[
"Jakobsen",
"Gustav Uhre",
""
],
[
"Mogull",
"Gustav",
""
],
[
"Plefka",
"Jan",
""
],
[
"Steinhoff",
"Jan",
""
]
] | The recently established formalism of a worldline quantum field theory, which describes the classical scattering of massive bodies in Einstein gravity, is generalized up to quadratic order in spin -- for a pair of Kerr black holes revealing a hidden ${\mathcal N}=2$ supersymmetry. The far-field time-domain waveform of the gravitational waves produced in such a spinning encounter is computed at leading order in the post-Minkowskian (weak field, but generic velocity) expansion, and exhibits this supersymmetry. From the waveform we extract the leading-order total radiated angular momentum in a generic reference frame, and the total radiated energy in the center-of-mass frame to leading order in a low-velocity approximation. |
1405.0015 | S. Prem Kumar | Shouvik Datta, Justin R. David, Michael Ferlaino and S. Prem Kumar | A universal correction to higher spin entanglement entropy | Version accepted for publication as Rapid Communications in Phys.
Rev. D. Included an expanded discussion of the prescription used for contact
terms in relevant integrals; typos corrected | Phys. Rev. D 90, 041903 (2014) | 10.1103/PhysRevD.90.041903 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider conformal field theories in 1+1 dimensions with W-algebra
symmetries, deformed by a chemical potential \mu for the spin-three current. We
show that the order \mu^2 correction to the Re'nyi and entanglement entropies
of a single interval in the deformed theory, on the infinite spatial line and
at finite temperature, is universal. The correction is completely determined by
the operator product expansion of two spin-three currents, and by the
expectation values of the stress tensor, its descendants and its composites,
evaluated on the n-sheeted Riemann surface branched along the interval. This
explains the recently found agreement of the order \mu^2 correction across
distinct free field CFTs and higher spin black hole solutions holographically
dual to CFTs with W-symmetry.
| [
{
"created": "Wed, 30 Apr 2014 20:00:23 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Jul 2014 21:26:22 GMT",
"version": "v2"
}
] | 2014-08-13 | [
[
"Datta",
"Shouvik",
""
],
[
"David",
"Justin R.",
""
],
[
"Ferlaino",
"Michael",
""
],
[
"Kumar",
"S. Prem",
""
]
] | We consider conformal field theories in 1+1 dimensions with W-algebra symmetries, deformed by a chemical potential \mu for the spin-three current. We show that the order \mu^2 correction to the Re'nyi and entanglement entropies of a single interval in the deformed theory, on the infinite spatial line and at finite temperature, is universal. The correction is completely determined by the operator product expansion of two spin-three currents, and by the expectation values of the stress tensor, its descendants and its composites, evaluated on the n-sheeted Riemann surface branched along the interval. This explains the recently found agreement of the order \mu^2 correction across distinct free field CFTs and higher spin black hole solutions holographically dual to CFTs with W-symmetry. |
1504.01897 | E. Harikumar | Partha Guha, E. Harikumar and Zuhair N. S | Fradkin-Bacry-Ruegg-Souriau vector in kappa-deformed space-time | 18 pages | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study presence of an additional symmetry of a generic central potential in
the $\kappa$-space-time. An explicit construction of Fradkin and Bacry, Ruegg,
Souriau (FBRS) for a central potential is carried out and the piece-wise
conserved nature of the vector is established. We also extend the study to
Kepler systems with a drag term, particularly Gorringe-Leach equation is
generalized to the $\kappa$-deformed space. The possibility of mapping
Gorringe-Leach equation to an equation with out drag term is exploited in
associating a similar conserved vector to system with a drag term. An extension
of duality between two class of central potential is introduced in the
$\kappa$-deformed space and is used to investigate the duality existing between
two class of Gorringe-Leach equations. All the results obtained can be retraced
to the correct commutative limit as we let $a \rightarrow 0$.
| [
{
"created": "Wed, 8 Apr 2015 10:16:04 GMT",
"version": "v1"
}
] | 2015-04-10 | [
[
"Guha",
"Partha",
""
],
[
"Harikumar",
"E.",
""
],
[
"S",
"Zuhair N.",
""
]
] | We study presence of an additional symmetry of a generic central potential in the $\kappa$-space-time. An explicit construction of Fradkin and Bacry, Ruegg, Souriau (FBRS) for a central potential is carried out and the piece-wise conserved nature of the vector is established. We also extend the study to Kepler systems with a drag term, particularly Gorringe-Leach equation is generalized to the $\kappa$-deformed space. The possibility of mapping Gorringe-Leach equation to an equation with out drag term is exploited in associating a similar conserved vector to system with a drag term. An extension of duality between two class of central potential is introduced in the $\kappa$-deformed space and is used to investigate the duality existing between two class of Gorringe-Leach equations. All the results obtained can be retraced to the correct commutative limit as we let $a \rightarrow 0$. |
hep-th/9206084 | null | Barton Zwiebach | Closed String Field Theory: Quantum Action and the BV Master Equation | 115 pages, 5 figures (not included). IASSNS-HEP-92/41 | Nucl.Phys.B390:33-152,1993 | 10.1016/0550-3213(93)90388-6 | null | hep-th | null | The complete quantum theory of covariant closed strings is constructed in
detail. The action is defined by elementary vertices satisfying recursion
relations that give rise to Jacobi-like identities for an infinite chain of
string field products. The genus zero string field algebra is the homotopy Lie
algebra $L_\infty$, and the higher genus algebraic structure implies the
Batalin-Vilkovisky (BV) master equation. From these structures on the off-shell
state space, we show how to derive the $L_\infty$ algebra, and the BV equation
on physical states, recently constructed in d=2 string theory. The string
diagrams are surfaces with minimal area metrics, foliated by closed geodesics
of length $2\pi$. These metrics generalize quadratic differentials in that
foliation bands can cross. The string vertices are succinctly characterized;
they include the surfaces whose foliation bands are all of height smaller than
$2\pi$.
--While this is not a review paper, an effort was made to give a fairly
complete and accessible account of the quantum closed string field theory.--
| [
{
"created": "Tue, 23 Jun 1992 22:11:00 GMT",
"version": "v1"
}
] | 2010-11-01 | [
[
"Zwiebach",
"Barton",
""
]
] | The complete quantum theory of covariant closed strings is constructed in detail. The action is defined by elementary vertices satisfying recursion relations that give rise to Jacobi-like identities for an infinite chain of string field products. The genus zero string field algebra is the homotopy Lie algebra $L_\infty$, and the higher genus algebraic structure implies the Batalin-Vilkovisky (BV) master equation. From these structures on the off-shell state space, we show how to derive the $L_\infty$ algebra, and the BV equation on physical states, recently constructed in d=2 string theory. The string diagrams are surfaces with minimal area metrics, foliated by closed geodesics of length $2\pi$. These metrics generalize quadratic differentials in that foliation bands can cross. The string vertices are succinctly characterized; they include the surfaces whose foliation bands are all of height smaller than $2\pi$. --While this is not a review paper, an effort was made to give a fairly complete and accessible account of the quantum closed string field theory.-- |
1705.03065 | Oscar J. C. Dias | Oscar J.C. Dias and Jorge E. Santos | AdS nonlinear instability: breaking spherical and axial symmetries | 32 pages, 5 figures | null | 10.1088/1361-6382/aad514 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Considerable effort has been dedicated to study the nonlinear instability of
Anti-de Sitter (AdS) within spherical symmetry, but little is known about this
nonlinear instability in the purely gravitational sector, where spherical
symmetry is necessarily broken. In \cite{Bizon:2011gg} the onset of such
nonlinear instability was associated with the existence of irremovable secular
resonances at third order in perturbation theory. Furthermore, it was also
conjectured in \cite{Bizon:2011gg} that certain very fine tuned initial data
would not collapse. Such solutions, upon linearisation, correspond to
individual normal modes of AdS, which can be consistently backreacted to all
orders in perturbation theory. However, the analysis of \cite{Bizon:2011gg} was
restricted to spherical symmetry. The perturbative arguments of
\cite{Bizon:2011gg} were then generalised to gravitational perturbations in
\cite{Dias:2011ss}, and in particular certain time-periodic solutions were also
conjectured to exist - these were coined geons. However, in \cite{Dias:2011ss},
only a certain class of perturbations was considered, for which the
perturbative analysis considerably simplifies. In this manuscript we present
details of the systematic computational formalism and an exhaustive and
complementary analysis of physical properties of the geons and gravitational
AdS instability that were absent in our companion Letter \cite{Dias:2016ewl}.
In particular, we find that, unlike in spherical symmetry, a (single)
gravitational normal mode of AdS can be backreacted to generate a nonlinear
solution only in very exceptional circumstances. We also show that weak
turbulent perturbative theory predicts the existence of direct and inverse
cascades, and give evidence suggesting that the former dominates the latter for
equal energy two-mode seeds.
| [
{
"created": "Mon, 8 May 2017 20:00:05 GMT",
"version": "v1"
}
] | 2018-08-29 | [
[
"Dias",
"Oscar J. C.",
""
],
[
"Santos",
"Jorge E.",
""
]
] | Considerable effort has been dedicated to study the nonlinear instability of Anti-de Sitter (AdS) within spherical symmetry, but little is known about this nonlinear instability in the purely gravitational sector, where spherical symmetry is necessarily broken. In \cite{Bizon:2011gg} the onset of such nonlinear instability was associated with the existence of irremovable secular resonances at third order in perturbation theory. Furthermore, it was also conjectured in \cite{Bizon:2011gg} that certain very fine tuned initial data would not collapse. Such solutions, upon linearisation, correspond to individual normal modes of AdS, which can be consistently backreacted to all orders in perturbation theory. However, the analysis of \cite{Bizon:2011gg} was restricted to spherical symmetry. The perturbative arguments of \cite{Bizon:2011gg} were then generalised to gravitational perturbations in \cite{Dias:2011ss}, and in particular certain time-periodic solutions were also conjectured to exist - these were coined geons. However, in \cite{Dias:2011ss}, only a certain class of perturbations was considered, for which the perturbative analysis considerably simplifies. In this manuscript we present details of the systematic computational formalism and an exhaustive and complementary analysis of physical properties of the geons and gravitational AdS instability that were absent in our companion Letter \cite{Dias:2016ewl}. In particular, we find that, unlike in spherical symmetry, a (single) gravitational normal mode of AdS can be backreacted to generate a nonlinear solution only in very exceptional circumstances. We also show that weak turbulent perturbative theory predicts the existence of direct and inverse cascades, and give evidence suggesting that the former dominates the latter for equal energy two-mode seeds. |
1405.6247 | Frank B. Estabrook | Frank B. Estabrook | Exterior Differential Systems for Field Theories | null | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Exterior Differential Systems (EDS) and Cartan forms, set in the state space
of field variables taken together with four space-time variables, are
formulated for classical gauge theories of Maxwell and SU(2) Yang-Mills fields
minimally coupled to Dirac spinor multiplets. Cartan character tables are
calculated, showing whether the EDS, and so the Euler-Lagrange partial
differential equations, is well-posed. The first theory, with 22 dimensional
state space (10 Maxwell field and potential components and 8 components of a
Dirac field), anticipates QED. In the second, non-Abelian, case (30 Yang-Mills
field components and 16 Dirac), only if three additional "ghost" fields are
included (15 more scalar variables) is a well-posed EDS found. This classical
formulation anticipates the need for introduction of Fadeev-Popov ghost fields
in the quantum standard model.
| [
{
"created": "Sat, 24 May 2014 00:29:13 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Jun 2014 20:28:47 GMT",
"version": "v2"
},
{
"created": "Tue, 24 Feb 2015 23:19:52 GMT",
"version": "v3"
},
{
"created": "Thu, 25 Feb 2016 19:49:06 GMT",
"version": "v4"
}
] | 2016-02-26 | [
[
"Estabrook",
"Frank B.",
""
]
] | Exterior Differential Systems (EDS) and Cartan forms, set in the state space of field variables taken together with four space-time variables, are formulated for classical gauge theories of Maxwell and SU(2) Yang-Mills fields minimally coupled to Dirac spinor multiplets. Cartan character tables are calculated, showing whether the EDS, and so the Euler-Lagrange partial differential equations, is well-posed. The first theory, with 22 dimensional state space (10 Maxwell field and potential components and 8 components of a Dirac field), anticipates QED. In the second, non-Abelian, case (30 Yang-Mills field components and 16 Dirac), only if three additional "ghost" fields are included (15 more scalar variables) is a well-posed EDS found. This classical formulation anticipates the need for introduction of Fadeev-Popov ghost fields in the quantum standard model. |
2404.04637 | Wei Bu | Wei Bu and Sean Seet | A systematic approach to celestial holography: a case study in Einstein
gravity | 31+12 pages, 3 figures, comments welcome! | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a systematic approach to celestial holography in massless theories
beginning by studying the implications of properly incorporating field
configurations built using the eigenstates of central interest: massless
conformal primary wavefunctions that diagonalize the dilatation generator. Due
to their singular behaviour on the locus $k\cdot x=0$, they do not belong to
the space of Fourier decomposable functions, and incorporating them in the path
integral domain requires careful manipulations. In this paper, we include these
singular field configurations by a splitting procedure using large pure
gauge/diffeomorphism transformations on the action functional. We demonstrate
that doing so splits the action into an integrand supported on the singular
locus $k\cdot x=0$ and an integrand on the rest of the space. Mellin transforms
single out the scalings/conformal dimension in $x$, geometrically, we treat
this as a proper non-compact scaling reduction, where we are able to further
isolate the dynamics of the large pure diffeomorphism transformations. This
takes the form of 2d chiral CFT on a 2d sphere on the singular locus $k\cdot
x=0$ - the celestial sphere where the null cone of the origin cuts
$\mathscr{I}$. Using this framework, we study Einstein gravity perturbatively
around its self-dual sector, where the resulting microscopic 2d CFT couples to
bulk scattering states. We are able to obtain an explicit representation of the
$\mathcal{L} w_{1+\infty}$ algebra and leading soft splitting functions. With
further marginal deformations, we also write down effective interaction
vertices which provide form factors of tree-level graviton scattering in
Minkowski space.
| [
{
"created": "Sat, 6 Apr 2024 14:07:36 GMT",
"version": "v1"
}
] | 2024-04-09 | [
[
"Bu",
"Wei",
""
],
[
"Seet",
"Sean",
""
]
] | We propose a systematic approach to celestial holography in massless theories beginning by studying the implications of properly incorporating field configurations built using the eigenstates of central interest: massless conformal primary wavefunctions that diagonalize the dilatation generator. Due to their singular behaviour on the locus $k\cdot x=0$, they do not belong to the space of Fourier decomposable functions, and incorporating them in the path integral domain requires careful manipulations. In this paper, we include these singular field configurations by a splitting procedure using large pure gauge/diffeomorphism transformations on the action functional. We demonstrate that doing so splits the action into an integrand supported on the singular locus $k\cdot x=0$ and an integrand on the rest of the space. Mellin transforms single out the scalings/conformal dimension in $x$, geometrically, we treat this as a proper non-compact scaling reduction, where we are able to further isolate the dynamics of the large pure diffeomorphism transformations. This takes the form of 2d chiral CFT on a 2d sphere on the singular locus $k\cdot x=0$ - the celestial sphere where the null cone of the origin cuts $\mathscr{I}$. Using this framework, we study Einstein gravity perturbatively around its self-dual sector, where the resulting microscopic 2d CFT couples to bulk scattering states. We are able to obtain an explicit representation of the $\mathcal{L} w_{1+\infty}$ algebra and leading soft splitting functions. With further marginal deformations, we also write down effective interaction vertices which provide form factors of tree-level graviton scattering in Minkowski space. |
1206.6346 | Pavel Putrov | Marcos Marino, Pavel Putrov | Interacting fermions and N=2 Chern-Simons-matter theories | 29 pages, 4 figures | null | 10.1007/JHEP11(2013)199 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The partition function on the three-sphere of N=3 Chern-Simons-matter
theories can be formulated in terms of an ideal Fermi gas. In this paper we
show that, in theories with N=2 supersymmetry, the partition function
corresponds to a gas of interacting fermions in one dimension. The large N
limit is the thermodynamic limit of the gas and it can be analyzed with the
Hartree and Thomas-Fermi approximations, which lead to the known large N
solutions of these models. We use this interacting fermion picture to analyze
in detail N=2 theories with one single node. In the case of theories with no
long-range forces we incorporate exchange effects and argue that the partition
function is given by an Airy function, as in N=3 theories. For the theory with
g adjoint superfields and long-range forces, the Thomas-Fermi approximation
leads to an integral equation which determines the large N, strongly coupled
R-charge.
| [
{
"created": "Wed, 27 Jun 2012 17:39:30 GMT",
"version": "v1"
}
] | 2015-06-05 | [
[
"Marino",
"Marcos",
""
],
[
"Putrov",
"Pavel",
""
]
] | The partition function on the three-sphere of N=3 Chern-Simons-matter theories can be formulated in terms of an ideal Fermi gas. In this paper we show that, in theories with N=2 supersymmetry, the partition function corresponds to a gas of interacting fermions in one dimension. The large N limit is the thermodynamic limit of the gas and it can be analyzed with the Hartree and Thomas-Fermi approximations, which lead to the known large N solutions of these models. We use this interacting fermion picture to analyze in detail N=2 theories with one single node. In the case of theories with no long-range forces we incorporate exchange effects and argue that the partition function is given by an Airy function, as in N=3 theories. For the theory with g adjoint superfields and long-range forces, the Thomas-Fermi approximation leads to an integral equation which determines the large N, strongly coupled R-charge. |
hep-th/9512142 | null | R. Shaisultanov | On the string-inspired approach to QED in external field | 14 pages,Revtex,no figures | Phys.Lett. B378 (1996) 354-356 | 10.1016/0370-2693(96)00359-0 | null | hep-th | null | Strassler's formulation of the string-derived Bern-Kosower formalism is
extended to consider QED processes in homogeneous constant external field. A
compact expression for the contribution of the one-loop with arbitrary number
of external photon lines is given for scalar QED. Extension to spinor QED is
shortly discussed.
| [
{
"created": "Tue, 19 Dec 1995 13:41:34 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Shaisultanov",
"R.",
""
]
] | Strassler's formulation of the string-derived Bern-Kosower formalism is extended to consider QED processes in homogeneous constant external field. A compact expression for the contribution of the one-loop with arbitrary number of external photon lines is given for scalar QED. Extension to spinor QED is shortly discussed. |
hep-th/0212277 | Per Kraus | Per Kraus, Hirosi Ooguri, and Stephen Shenker | Inside the Horizon with AdS/CFT | 31 pages, 6 figures | Phys.Rev.D67:124022,2003 | 10.1103/PhysRevD.67.124022 | UCLA-02-TEP-41, CALT 68-2421, SU-ITP-02-45 | hep-th | null | Using the eternal BTZ black hole as a concrete example, we show how spacelike
singularities and horizons can be described in terms of AdS/CFT amplitudes. Our
approach is based on analytically continuing amplitudes defined in Euclidean
signature. This procedure yields finite Lorentzian amplitudes. The naive
divergences associated with the Milne type singularity of BTZ are regulated by
an $i\epsilon$ prescription inherent in the analytic continuation and a
cancellation between future and past singularities.
The boundary description corresponds to a tensor product of two CFTs in an
entangled state, as in previous work. We give two bulk descriptions
corresponding to two different analytic continuations. In the first, only
regions outside the horizon appear explicitly, and so amplitudes are manifestly
finite. In the second, regions behind the horizon and on both sides of the
singularity appear, thus yielding finite amplitudes for virtual particles
propagating through the black hole singularity. This equivalence between
descriptions only outside and both inside and outside the horizon is
reminiscent of the ideas of black hole complementarity.
| [
{
"created": "Sun, 22 Dec 2002 19:22:05 GMT",
"version": "v1"
},
{
"created": "Sun, 23 Feb 2003 05:20:36 GMT",
"version": "v2"
}
] | 2009-09-17 | [
[
"Kraus",
"Per",
""
],
[
"Ooguri",
"Hirosi",
""
],
[
"Shenker",
"Stephen",
""
]
] | Using the eternal BTZ black hole as a concrete example, we show how spacelike singularities and horizons can be described in terms of AdS/CFT amplitudes. Our approach is based on analytically continuing amplitudes defined in Euclidean signature. This procedure yields finite Lorentzian amplitudes. The naive divergences associated with the Milne type singularity of BTZ are regulated by an $i\epsilon$ prescription inherent in the analytic continuation and a cancellation between future and past singularities. The boundary description corresponds to a tensor product of two CFTs in an entangled state, as in previous work. We give two bulk descriptions corresponding to two different analytic continuations. In the first, only regions outside the horizon appear explicitly, and so amplitudes are manifestly finite. In the second, regions behind the horizon and on both sides of the singularity appear, thus yielding finite amplitudes for virtual particles propagating through the black hole singularity. This equivalence between descriptions only outside and both inside and outside the horizon is reminiscent of the ideas of black hole complementarity. |
1806.01872 | Alok Laddha | Alok Laddha, Ashoke Sen | Observational Signature of the Logarithmic Terms in the Soft Graviton
Theorem | 8 pages, v3 : Discussion on Non-relativistic limit changed,
references added | Phys. Rev. D 100, 024009 (2019) | 10.1103/PhysRevD.100.024009 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the recently discovered logarithmic terms in the soft graviton
theorem induce a late time component in the gravitational wave-form that falls
off as inverse power of time, producing a tail term to the linear memory
effect.
| [
{
"created": "Tue, 5 Jun 2018 18:08:17 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Jun 2018 00:49:59 GMT",
"version": "v2"
},
{
"created": "Tue, 6 Nov 2018 08:13:55 GMT",
"version": "v3"
}
] | 2019-07-17 | [
[
"Laddha",
"Alok",
""
],
[
"Sen",
"Ashoke",
""
]
] | We show that the recently discovered logarithmic terms in the soft graviton theorem induce a late time component in the gravitational wave-form that falls off as inverse power of time, producing a tail term to the linear memory effect. |
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