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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2303.15602
|
Petr Bene\v{s}
|
Petr Bene\v{s}, Filip Blaschke
|
Shapes of magnetic monopoles in effective $SU(2)$ models
|
13 pages, 4 figures; revised version published in PRD
|
Phys.Rev.D 107 (2023) 12, 125002
|
10.1103/PhysRevD.107.125002
| null |
hep-th cond-mat.other hep-ph nlin.PS
|
http://creativecommons.org/licenses/by/4.0/
|
We present a systematic exploration of a general family of effective $SU(2)$
models with an adjoint scalar. First, we discuss a redundancy in this class of
models and use it to identify seemingly different, yet physically equivalent
models. Next, we construct the Bogomol'nyi-Prasad-Sommerfield (BPS) limit and
derive analytic monopole solutions. In contrast to the 't Hooft-Polyakov
monopole, included here as a special case, these solutions tend to exhibit more
complex energy density profiles. Typically, we obtain monopoles with a hollow
cavity at their core where virtually no energy is concentrated; accordingly,
most of the monopole's energy is stored in a spherical shell around its core.
Moreover, the shell itself can be structured, with several "sub-shells". A
recipe for the construction of these analytic solutions is presented.
|
[
{
"created": "Mon, 27 Mar 2023 21:19:50 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Jun 2023 10:14:27 GMT",
"version": "v2"
}
] |
2023-06-07
|
[
[
"Beneš",
"Petr",
""
],
[
"Blaschke",
"Filip",
""
]
] |
We present a systematic exploration of a general family of effective $SU(2)$ models with an adjoint scalar. First, we discuss a redundancy in this class of models and use it to identify seemingly different, yet physically equivalent models. Next, we construct the Bogomol'nyi-Prasad-Sommerfield (BPS) limit and derive analytic monopole solutions. In contrast to the 't Hooft-Polyakov monopole, included here as a special case, these solutions tend to exhibit more complex energy density profiles. Typically, we obtain monopoles with a hollow cavity at their core where virtually no energy is concentrated; accordingly, most of the monopole's energy is stored in a spherical shell around its core. Moreover, the shell itself can be structured, with several "sub-shells". A recipe for the construction of these analytic solutions is presented.
|
0805.1410
|
Junya Yagi
|
Meng-Chwan Tan, Junya Yagi
|
Chiral Algebras of (0,2) Sigma Models: Beyond Perturbation Theory - II
|
13 pages
|
Lett.Math.Phys.84:257-273,2008
|
10.1007/s11005-008-0249-4
| null |
hep-th math.DG math.QA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We extend our analysis in [arXiv:0801.4782] and show that the chiral algebras
of (0,2) sigma models are totally trivialized by worldsheet instantons for all
complete flag manifolds of compact semisimple Lie groups. Consequently,
supersymmetry is spontaneously broken. Our results verify Stolz's idea that
there are no harmonic spinors on the loop spaces of these flag manifolds.
Moreover, they also imply that the kernels of certain twisted Dirac operators
on these spaces will be empty under a "quantum" deformation of their
geometries.
|
[
{
"created": "Mon, 12 May 2008 15:02:24 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Tan",
"Meng-Chwan",
""
],
[
"Yagi",
"Junya",
""
]
] |
We extend our analysis in [arXiv:0801.4782] and show that the chiral algebras of (0,2) sigma models are totally trivialized by worldsheet instantons for all complete flag manifolds of compact semisimple Lie groups. Consequently, supersymmetry is spontaneously broken. Our results verify Stolz's idea that there are no harmonic spinors on the loop spaces of these flag manifolds. Moreover, they also imply that the kernels of certain twisted Dirac operators on these spaces will be empty under a "quantum" deformation of their geometries.
|
2109.05336
|
Dionisio Bazeia
|
D. Bazeia, M.A. Marques, M. Paganelly
|
Novel way to construct spatially localized finite energy structures
|
15 pages, 10 figures. To appear in EPJPlus
|
Eur. Phys. J. Plus 136 (2021) 990
|
10.1140/epjp/s13360-021-01953-4
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we introduce a procedure to find localized structures with
finite energy. We start dealing with global monopoles, and add a new
contribution to the potential of the scalar fields, to balance the contribution
of the angular gradients of the fields which lead to a slow falloff in the
energy density. Within the first order formalism, first order equations that
are compatible with the equations of motion are obtained and the stability
under small fluctuations is investigated. We then include another set of scalar
fields and study how it contributes to change the profile of the localized
structure. We also study how these configurations modify the electric
properties of a system with a single point charge, with generalized electric
permittivity controlled by scalar fields. In this new model, in particular, we
show that, depending on the specific modification of the electric properties of
the medium, the electric field may engender the unusual behavior of pointing
towards a positive charge.
|
[
{
"created": "Sat, 11 Sep 2021 18:27:27 GMT",
"version": "v1"
}
] |
2021-10-11
|
[
[
"Bazeia",
"D.",
""
],
[
"Marques",
"M. A.",
""
],
[
"Paganelly",
"M.",
""
]
] |
In this work we introduce a procedure to find localized structures with finite energy. We start dealing with global monopoles, and add a new contribution to the potential of the scalar fields, to balance the contribution of the angular gradients of the fields which lead to a slow falloff in the energy density. Within the first order formalism, first order equations that are compatible with the equations of motion are obtained and the stability under small fluctuations is investigated. We then include another set of scalar fields and study how it contributes to change the profile of the localized structure. We also study how these configurations modify the electric properties of a system with a single point charge, with generalized electric permittivity controlled by scalar fields. In this new model, in particular, we show that, depending on the specific modification of the electric properties of the medium, the electric field may engender the unusual behavior of pointing towards a positive charge.
|
2008.06053
|
Meer Ashwinkumar
|
Meer Ashwinkumar, Kee-Seng Png, Meng-Chwan Tan
|
4d Chern-Simons Theory as a 3d Toda Theory, and a 3d-2d Correspondence
|
28 pages. Presented at "String Math 2020". Further clarifications. To
appear in JHEP
|
JHEP 09 (2021) 057
|
10.1007/JHEP09(2021)057
| null |
hep-th math.QA math.RT math.SG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the four-dimensional Chern-Simons theory studied by Costello,
Witten and Yamazaki, is, with Nahm pole-type boundary conditions, dual to a
boundary theory that is a three-dimensional analogue of Toda theory with a
novel 3d W-algebra symmetry. By embedding four-dimensional Chern-Simons theory
in a partial twist of the five-dimensional maximally supersymmetric Yang-Mills
theory on a manifold with corners, we argue that this three-dimensional Toda
theory is dual to a two-dimensional topological sigma model with A-branes on
the moduli space of solutions to the Bogomolny equations. This furnishes a
novel 3d-2d correspondence, which, among other mathematical implications, also
reveals that modules of the 3d W-algebra are modules for the quantized algebra
of certain holomorphic functions on the Bogomolny moduli space.
|
[
{
"created": "Thu, 13 Aug 2020 18:00:00 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Mar 2021 11:48:52 GMT",
"version": "v2"
},
{
"created": "Thu, 26 Aug 2021 10:20:20 GMT",
"version": "v3"
}
] |
2022-08-02
|
[
[
"Ashwinkumar",
"Meer",
""
],
[
"Png",
"Kee-Seng",
""
],
[
"Tan",
"Meng-Chwan",
""
]
] |
We show that the four-dimensional Chern-Simons theory studied by Costello, Witten and Yamazaki, is, with Nahm pole-type boundary conditions, dual to a boundary theory that is a three-dimensional analogue of Toda theory with a novel 3d W-algebra symmetry. By embedding four-dimensional Chern-Simons theory in a partial twist of the five-dimensional maximally supersymmetric Yang-Mills theory on a manifold with corners, we argue that this three-dimensional Toda theory is dual to a two-dimensional topological sigma model with A-branes on the moduli space of solutions to the Bogomolny equations. This furnishes a novel 3d-2d correspondence, which, among other mathematical implications, also reveals that modules of the 3d W-algebra are modules for the quantized algebra of certain holomorphic functions on the Bogomolny moduli space.
|
hep-th/0202025
|
Shahrokh Parvizi
|
Shahrokh Parvizi
|
Non-Commutative Instantons and the Information Metric
|
latex. v2) 14 pages, keywords and references added, to appear in MPLA
|
Mod.Phys.Lett. A17 (2002) 341-354
|
10.1142/S0217732302006436
| null |
hep-th
| null |
By using the so-called Information Metric on the moduli space of an
anti-selfdual (ASD) Instanton in a Self-Dual (SD) Non-Commutative background,
we investigate the geometry of moduli space. The metric is evaluated
perturbatively in non-commutativity parameter and we show that by putting a
cut-off in the location of instanton in the definition of Information Metric we
can recover the five dimensional space time in the presence of a B-field. This
result shows that the non-commutative YM-Instanton Moduli corresponds to
D-Instanton Moduli in the gravity side where the radial and transverse location
of D-Instanton are corresponding to YM-Instanton size and location,
respectively. The match is shown in the first order of non-commutativity
parameter.
|
[
{
"created": "Tue, 5 Feb 2002 11:34:01 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Feb 2002 12:15:04 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Parvizi",
"Shahrokh",
""
]
] |
By using the so-called Information Metric on the moduli space of an anti-selfdual (ASD) Instanton in a Self-Dual (SD) Non-Commutative background, we investigate the geometry of moduli space. The metric is evaluated perturbatively in non-commutativity parameter and we show that by putting a cut-off in the location of instanton in the definition of Information Metric we can recover the five dimensional space time in the presence of a B-field. This result shows that the non-commutative YM-Instanton Moduli corresponds to D-Instanton Moduli in the gravity side where the radial and transverse location of D-Instanton are corresponding to YM-Instanton size and location, respectively. The match is shown in the first order of non-commutativity parameter.
|
1011.3549
|
Georgii Alekseev
|
George A. Alekseev
|
New soliton generating transformations in the bosonic sector of
heterotic string effective theory
|
3 pages, based on the talk given at Twelfth Marcel Grossmann Meeting
(Paris, July 12 - 18, 2009)
| null | null | null |
hep-th gr-qc nlin.SI
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the author's paper (Phys.Rev. D80, 041901(R) (2009)), the integrable
structure of the symmetry reduced bosonic dynamics in the low energy heterotic
string effective theory was presented. In that paper, for a complete system of
massless bosonic fields which includes metric, dilaton field, antisymmetric
tensor and any number of Abelian vector gauge fields, considered in the
space-time of $D$ dimensions with $D-2$ commuting isometries, the spectral
problem equivalent to the symmetry reduced dynamical equations was constructed.
However, the soliton generating transformations were described in that paper
only for the case in which all vector gauge fields vanish. In this paper, we
recall the integrability structure of these equations and describe some new
type of soliton generating transformations in which the vector gauge fields can
also enter the background (seed) solution as well as these can be generated
even on vacuum background by an appropriate choice of soliton parameters.
|
[
{
"created": "Mon, 15 Nov 2010 23:16:40 GMT",
"version": "v1"
}
] |
2010-11-22
|
[
[
"Alekseev",
"George A.",
""
]
] |
In the author's paper (Phys.Rev. D80, 041901(R) (2009)), the integrable structure of the symmetry reduced bosonic dynamics in the low energy heterotic string effective theory was presented. In that paper, for a complete system of massless bosonic fields which includes metric, dilaton field, antisymmetric tensor and any number of Abelian vector gauge fields, considered in the space-time of $D$ dimensions with $D-2$ commuting isometries, the spectral problem equivalent to the symmetry reduced dynamical equations was constructed. However, the soliton generating transformations were described in that paper only for the case in which all vector gauge fields vanish. In this paper, we recall the integrability structure of these equations and describe some new type of soliton generating transformations in which the vector gauge fields can also enter the background (seed) solution as well as these can be generated even on vacuum background by an appropriate choice of soliton parameters.
|
0902.2111
|
Akira Kokado
|
Akira Kokado, Gaku Konisi and Takesi Saito
|
Heterotic String in a Constant Magnetic Field
|
12 pages, No figures, revtex4
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
When a charged heterotic string is placed in a constant magnetic field B, we
show that this system can be solved exactly by using the cyclotron frequency.
We then calculate anomalies of the super Virasoro algebra, and give the
corresponding spectrum-generating algebra for this system. They differ from the
free case by the cyclotron frequency. It is remarkable that our system is
equivalent to the completely free system when B takes integral values.
|
[
{
"created": "Thu, 12 Feb 2009 14:07:27 GMT",
"version": "v1"
}
] |
2009-02-13
|
[
[
"Kokado",
"Akira",
""
],
[
"Konisi",
"Gaku",
""
],
[
"Saito",
"Takesi",
""
]
] |
When a charged heterotic string is placed in a constant magnetic field B, we show that this system can be solved exactly by using the cyclotron frequency. We then calculate anomalies of the super Virasoro algebra, and give the corresponding spectrum-generating algebra for this system. They differ from the free case by the cyclotron frequency. It is remarkable that our system is equivalent to the completely free system when B takes integral values.
|
hep-th/9803097
|
Larus Thorlacius
|
C.G. Callan and L. Thorlacius
|
Worldsheet Dynamics of String Junctions
|
latex, 19 pages with two figures
|
Nucl.Phys. B534 (1998) 121-136
|
10.1016/S0550-3213(98)00513-6
|
PUPT-1760
|
hep-th
| null |
We analyze scattering of string modes at string junctions of type IIB string
theory. In the infrared limit, certain orthogonal linear combinations of the
fields on the different strings satisfy either Dirichlet or Neumann boundary
conditions. We confirm that the worldsheet theory of a general string network
has eight conserved supercharges in agreement with target space BPS
considerations. As an application, we obtain the band spectrum of some simple
string lattices.
|
[
{
"created": "Wed, 11 Mar 1998 23:34:12 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Callan",
"C. G.",
""
],
[
"Thorlacius",
"L.",
""
]
] |
We analyze scattering of string modes at string junctions of type IIB string theory. In the infrared limit, certain orthogonal linear combinations of the fields on the different strings satisfy either Dirichlet or Neumann boundary conditions. We confirm that the worldsheet theory of a general string network has eight conserved supercharges in agreement with target space BPS considerations. As an application, we obtain the band spectrum of some simple string lattices.
|
1401.0384
|
Florian Loebbert
|
Yunfeng Jiang, Ivan Kostov, Florian Loebbert, Didina Serban
|
Fixing the Quantum Three-Point Function
|
53 pages, 3 figures, v2: typos corrected, v3: section 3.1 improved,
small corrections, references added
|
JHEP 1404:019, 2014
|
10.1007/JHEP04(2014)019
| null |
hep-th cond-mat.stat-mech math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a new method for the computation of quantum three-point functions
for operators in su(2) sectors of N=4 super Yang-Mills theory. The method is
based on the existence of a unitary transformation relating inhomogeneous and
long-range spin chains. This transformation can be traced back to a combination
of boost operators and an inhomogeneous version of Baxter's corner transfer
matrix. We reproduce the existing results for the one-loop structure constants
in a simplified form and indicate how to use the method at higher loop orders.
Then we evaluate the one-loop structure constants in the quasiclassical limit
and compare them with the recent strong coupling computation.
|
[
{
"created": "Thu, 2 Jan 2014 08:07:56 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Jan 2014 18:25:15 GMT",
"version": "v2"
},
{
"created": "Thu, 30 Jan 2014 15:14:44 GMT",
"version": "v3"
}
] |
2014-04-11
|
[
[
"Jiang",
"Yunfeng",
""
],
[
"Kostov",
"Ivan",
""
],
[
"Loebbert",
"Florian",
""
],
[
"Serban",
"Didina",
""
]
] |
We propose a new method for the computation of quantum three-point functions for operators in su(2) sectors of N=4 super Yang-Mills theory. The method is based on the existence of a unitary transformation relating inhomogeneous and long-range spin chains. This transformation can be traced back to a combination of boost operators and an inhomogeneous version of Baxter's corner transfer matrix. We reproduce the existing results for the one-loop structure constants in a simplified form and indicate how to use the method at higher loop orders. Then we evaluate the one-loop structure constants in the quasiclassical limit and compare them with the recent strong coupling computation.
|
1309.1489
|
Ryan Thorngren
|
Ryan Thorngren
|
Electric-Magnetic Duality of Topological Gauge Theories from
Compactification
|
11 pages
| null | null | null |
hep-th math.QA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note, we discuss electric-magnetic duality between a pair of 4d
topological field theories (TQFTs) by considering their compactifications to 2
dimensions. These TQFTs control the long-distance behavior of loop and surface
operators in 4d gauge theories with gapped phases. These were recently used in
work by S. Gukov and A. Kapustin in detecting phases not distinguishable by the
Wilson-'t Hooft criterion and by A. Kapustin and the author to construct
discrete theta-angles for lattice Yang-Mills theories. The strong-weak duality
is manifested in an exchange of dynamical and background degrees of freedom in
the compactified TQFTs.
|
[
{
"created": "Thu, 5 Sep 2013 20:58:57 GMT",
"version": "v1"
}
] |
2013-09-09
|
[
[
"Thorngren",
"Ryan",
""
]
] |
In this note, we discuss electric-magnetic duality between a pair of 4d topological field theories (TQFTs) by considering their compactifications to 2 dimensions. These TQFTs control the long-distance behavior of loop and surface operators in 4d gauge theories with gapped phases. These were recently used in work by S. Gukov and A. Kapustin in detecting phases not distinguishable by the Wilson-'t Hooft criterion and by A. Kapustin and the author to construct discrete theta-angles for lattice Yang-Mills theories. The strong-weak duality is manifested in an exchange of dynamical and background degrees of freedom in the compactified TQFTs.
|
hep-th/9511060
| null |
J.S.Dowker, J.S.Apps, K.Kirsten, M.Bordag
|
Spectral invariants for the Dirac equation on the d-Ball with various
boundary conditions
|
13p,JyTeX, some cosmetic changes and a few more comments
|
Class.Quant.Grav.13:2911-2920,1996
|
10.1088/0264-9381/13/11/007
|
MUTP/95/21
|
hep-th funct-an gr-qc math.FA
| null |
The mode properties for spectral and mixed boundary conditions for massless
spin-half fields are derived for the $d$--ball. The corresponding functional
determinants and heat-kernel coefficients are presented, the latter as
polynomials in $d$.
|
[
{
"created": "Thu, 9 Nov 1995 14:28:29 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Nov 1995 09:54:51 GMT",
"version": "v2"
}
] |
2019-08-17
|
[
[
"Dowker",
"J. S.",
""
],
[
"Apps",
"J. S.",
""
],
[
"Kirsten",
"K.",
""
],
[
"Bordag",
"M.",
""
]
] |
The mode properties for spectral and mixed boundary conditions for massless spin-half fields are derived for the $d$--ball. The corresponding functional determinants and heat-kernel coefficients are presented, the latter as polynomials in $d$.
|
2403.03760
|
Michele Arzano
|
Francesco Alessio and Michele Arzano
|
A new pairwise boost quantum number from celestial states
|
23 pages, no figures
| null | null | null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
Infrared effects in the scattering of particles in gravity and
electrodynamics entail an exchange of relativistic angular momentum between
pairs of particles and the gauge field. Due to this exchange particles can
carry an asymptotically non-vanishing "pairwise" boost-like angular momentum
proportional to the product of their couplings to the field. At the quantum
level this asymptotic angular momentum suggests the existence of a new quantum
number carried by multi-particle states. We argue that such quantum number is
related to a modification of the action of the generators of Lorentz
transformations on multi-particle states. We derive such a modification using a
group-theoretic argument based on the little group of the conformal primary
basis for asymptotic states. The corresponding representation is an extension
of the ordinary multi-particle Fock representation of the Poincar\'e group. The
new multi-particle states belonging to such representation no longer factorize
into tensor products of one-particle states. Viewed from a gravitational point
of view, our results provide evidence for a universal breakdown of the
description of multi-particle sates in terms of Fock space due to infrared
back-reaction.
|
[
{
"created": "Wed, 6 Mar 2024 14:52:43 GMT",
"version": "v1"
}
] |
2024-03-07
|
[
[
"Alessio",
"Francesco",
""
],
[
"Arzano",
"Michele",
""
]
] |
Infrared effects in the scattering of particles in gravity and electrodynamics entail an exchange of relativistic angular momentum between pairs of particles and the gauge field. Due to this exchange particles can carry an asymptotically non-vanishing "pairwise" boost-like angular momentum proportional to the product of their couplings to the field. At the quantum level this asymptotic angular momentum suggests the existence of a new quantum number carried by multi-particle states. We argue that such quantum number is related to a modification of the action of the generators of Lorentz transformations on multi-particle states. We derive such a modification using a group-theoretic argument based on the little group of the conformal primary basis for asymptotic states. The corresponding representation is an extension of the ordinary multi-particle Fock representation of the Poincar\'e group. The new multi-particle states belonging to such representation no longer factorize into tensor products of one-particle states. Viewed from a gravitational point of view, our results provide evidence for a universal breakdown of the description of multi-particle sates in terms of Fock space due to infrared back-reaction.
|
hep-th/9909131
|
Celine Laroche
|
Laurent Baulieu, Celine Laroche, Nikita Nekrasov
|
From Topological Field Theories to Covariant Matrix Strings
|
5 pages, LaTeX, uses cargese.cls (included). To appear in the gong
show section of the proceedings of Cargese'99 summer school "Progress in
String Theory and M-theory", May 24 - June 5 (talk by Celine Laroche)
| null | null | null |
hep-th
| null |
This paper is a shortened version of the previous work hep-th/9907099: We
propose a topological quantum field theory as a twisted candidate to formulate
covariant matrix strings. The model relies on the octonionic or complexified
instanton equations defined on an eight dimensional manifold with reduced
holonomy. To allow untwisting of the model without producing an anomaly, we
suggest (partially twisted) W-gravity as an "extended" 2d-gravity sector.
|
[
{
"created": "Sun, 19 Sep 1999 16:16:21 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Baulieu",
"Laurent",
""
],
[
"Laroche",
"Celine",
""
],
[
"Nekrasov",
"Nikita",
""
]
] |
This paper is a shortened version of the previous work hep-th/9907099: We propose a topological quantum field theory as a twisted candidate to formulate covariant matrix strings. The model relies on the octonionic or complexified instanton equations defined on an eight dimensional manifold with reduced holonomy. To allow untwisting of the model without producing an anomaly, we suggest (partially twisted) W-gravity as an "extended" 2d-gravity sector.
|
hep-th/0409281
|
Scott Watson
|
Scott Watson
|
Stabilizing Moduli with String Cosmology
|
Talk presented at PASCOS 2004. To be published in proceedings (World
Scientific, 2004)
| null |
10.1142/9789812701756_0063
| null |
hep-th astro-ph gr-qc hep-ph
| null |
In this talk I will discuss the role of finite temperature quantum
corrections in string cosmology and show that they can lead to a stabilization
mechanism for the volume moduli. I will show that from the higher dimensional
perspective this results from the effect of states of enhanced symmetry on the
one-loop free energy. These states lead not only to stabilization, but also
suggest an alternative model for cold dark matter. At late times, when the low
energy effective field theory gives the appropriate description of the
dynamics, the moduli will begin to slow-roll and stabilization will generically
fail. However, stabilization can be recovered by considering cosmological
particle production near the points of enhanced symmetry leading to the process
known as moduli trapping.
|
[
{
"created": "Mon, 27 Sep 2004 21:21:20 GMT",
"version": "v1"
},
{
"created": "Sun, 3 Oct 2004 22:57:37 GMT",
"version": "v2"
}
] |
2015-06-26
|
[
[
"Watson",
"Scott",
""
]
] |
In this talk I will discuss the role of finite temperature quantum corrections in string cosmology and show that they can lead to a stabilization mechanism for the volume moduli. I will show that from the higher dimensional perspective this results from the effect of states of enhanced symmetry on the one-loop free energy. These states lead not only to stabilization, but also suggest an alternative model for cold dark matter. At late times, when the low energy effective field theory gives the appropriate description of the dynamics, the moduli will begin to slow-roll and stabilization will generically fail. However, stabilization can be recovered by considering cosmological particle production near the points of enhanced symmetry leading to the process known as moduli trapping.
|
hep-th/0610249
|
Cumrun Vafa
|
M. Aganagic, C. Beem, J. Seo and C. Vafa
|
Geometrically Induced Metastability and Holography
|
42 pages, 5 figures
|
Nucl.Phys.B789:382-412,2008
|
10.1016/j.nuclphysb.2007.08.018
|
HUTP/A040
|
hep-th
| null |
We construct metastable configurations of branes and anti-branes wrapping
2-spheres inside local Calabi-Yau manifolds and study their large N duals.
These duals are Calabi-Yau manifolds in which the wrapped 2-spheres have been
replaced by 3-spheres with flux through them, and supersymmetry is
spontaneously broken. The geometry of the non-supersymmetric vacuum is exactly
calculable to all orders of the `t Hooft parameter, and to the leading order in
1/N. The computation utilizes the same matrix model techniques that were used
in the supersymmetric context. This provides a novel mechanism for breaking
supersymmetry in the context of flux compactifications.
|
[
{
"created": "Mon, 23 Oct 2006 18:11:42 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Aganagic",
"M.",
""
],
[
"Beem",
"C.",
""
],
[
"Seo",
"J.",
""
],
[
"Vafa",
"C.",
""
]
] |
We construct metastable configurations of branes and anti-branes wrapping 2-spheres inside local Calabi-Yau manifolds and study their large N duals. These duals are Calabi-Yau manifolds in which the wrapped 2-spheres have been replaced by 3-spheres with flux through them, and supersymmetry is spontaneously broken. The geometry of the non-supersymmetric vacuum is exactly calculable to all orders of the `t Hooft parameter, and to the leading order in 1/N. The computation utilizes the same matrix model techniques that were used in the supersymmetric context. This provides a novel mechanism for breaking supersymmetry in the context of flux compactifications.
|
hep-th/0205087
|
Gautam Sengupta fc phy
|
Gautam Sengupta (IIT Kanpur)
|
Rotating Black Holes in Higher Dimensional Brane Worlds
|
23 pages, latex, sections rewritten and references added
|
Int.J.Mod.Phys. D15 (2006) 171-188
|
10.1142/S0218271806008280
|
IITK/PHY/2002/36
|
hep-th
| null |
A black string generaliztion of the Myers-Perry N dimensional rotating black
hole is considered in an (N+1) dimensional Randall-Sundrum brane world. The
black string intercepts the (N-1) brane in a N dimensional rotating black hole.
We examine the diverse cases arising for various non-zero rotation components
and obtain the geodesic equations for these space-time. The asymptotics of
theresulting brane world geometries and their implications are discussed.
|
[
{
"created": "Thu, 9 May 2002 19:48:48 GMT",
"version": "v1"
},
{
"created": "Fri, 10 May 2002 15:12:39 GMT",
"version": "v2"
},
{
"created": "Mon, 8 Jul 2002 07:33:38 GMT",
"version": "v3"
},
{
"created": "Tue, 11 Feb 2003 13:08:28 GMT",
"version": "v4"
}
] |
2009-11-07
|
[
[
"Sengupta",
"Gautam",
"",
"IIT Kanpur"
]
] |
A black string generaliztion of the Myers-Perry N dimensional rotating black hole is considered in an (N+1) dimensional Randall-Sundrum brane world. The black string intercepts the (N-1) brane in a N dimensional rotating black hole. We examine the diverse cases arising for various non-zero rotation components and obtain the geodesic equations for these space-time. The asymptotics of theresulting brane world geometries and their implications are discussed.
|
hep-th/9505194
|
Keith Dienes
|
Keith R. Dienes (IAS, Princeton)
|
SPACETIME PROPERTIES OF (1,0) STRING VACUA
|
6 pages, LaTeX, one encapsulated figure
| null | null |
IASSNS-HEP-95/41 (June 1995)
|
hep-th
| null |
We discuss one of the generic spacetime consequences of having (1,0)
worldsheet supersymmetry in tachyon-free string theory, namely the appearance
of a ``misaligned supersymmetry'' in the corresponding spacetime spectrum.
Misaligned supersymmetry is a universal property of (1,0) string vacua which
describes how the arrangement of bosonic and fermionic states at all string
energy levels conspires to preserve finite string amplitudes, even in the
absence of full spacetime supersymmetry. Misaligned supersymmetry also
constrains the degree to which spacetime supersymmetry can be broken without
breaking modular invariance, and is responsible for the vanishing of various
mass supertraces evaluated over the infinite string spectrum.
[Talk delivered at Strings '95, based on material drawn from hep-th/9402006
and hep-th/9409114. To appear in Proceedings.]
|
[
{
"created": "Thu, 1 Jun 1995 06:20:27 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Dienes",
"Keith R.",
"",
"IAS, Princeton"
]
] |
We discuss one of the generic spacetime consequences of having (1,0) worldsheet supersymmetry in tachyon-free string theory, namely the appearance of a ``misaligned supersymmetry'' in the corresponding spacetime spectrum. Misaligned supersymmetry is a universal property of (1,0) string vacua which describes how the arrangement of bosonic and fermionic states at all string energy levels conspires to preserve finite string amplitudes, even in the absence of full spacetime supersymmetry. Misaligned supersymmetry also constrains the degree to which spacetime supersymmetry can be broken without breaking modular invariance, and is responsible for the vanishing of various mass supertraces evaluated over the infinite string spectrum. [Talk delivered at Strings '95, based on material drawn from hep-th/9402006 and hep-th/9409114. To appear in Proceedings.]
|
hep-th/9605065
|
Dr G. Delfino
|
G. Delfino and P. Simonetti
|
Correlation Functions in the Two-dimensional Ising Model in a Magnetic
Field at $T=T_c$
|
18 pages, latex, 7 tables
|
Phys.Lett. B383 (1996) 450-456
|
10.1016/0370-2693(96)00783-6
|
OUTP-96-19S, SWAT/95-96/110
|
hep-th cond-mat
| null |
The one and two-particle form factors of the energy operator in the
two-dimensional Ising model in a magnetic field at $T=T_c$ are exactly computed
within the form factor bootstrap approach. Together with the matrix elements of
the magnetisation operator already computed in ref.\,\cite{immf}, they are used
to write down the large distance expansion for the correlators of the two
relevant fields of the model.
|
[
{
"created": "Thu, 9 May 1996 15:00:30 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Delfino",
"G.",
""
],
[
"Simonetti",
"P.",
""
]
] |
The one and two-particle form factors of the energy operator in the two-dimensional Ising model in a magnetic field at $T=T_c$ are exactly computed within the form factor bootstrap approach. Together with the matrix elements of the magnetisation operator already computed in ref.\,\cite{immf}, they are used to write down the large distance expansion for the correlators of the two relevant fields of the model.
|
1009.4041
|
Sandor Nagy
|
S. Nagy, K. Sailer
|
Functional renormalization group for quantized anharmonic oscillator
|
30 pages, 11 figures
|
Annals Phys.326:1839-1876,2011
|
10.1016/j.aop.2011.04.011
| null |
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Functional renormalization group methods formulated in the real-time
formalism are applied to the $O(N)$ symmetric quantum anharmonic oscillator,
considered as a $0+1$ dimensional quantum field-theoric model, in the
next-to-leading order of the gradient expansion of the one- and two-particle
irreducible effective action. The infrared scaling laws and the
sensitivity-matrix analysis show the existence of only a single, symmetric
phase. The field-independent term of the wavefunction renormalization turned
out to be negligible, but its field-dependent piece is noticeable. It is shown
that the infrared limits of the running couplings depend on the renormalization
group scheme used, when the perturbation expansion in the bare quartic coupling
is truncated keeping the terms up to the second order.
|
[
{
"created": "Tue, 21 Sep 2010 10:14:50 GMT",
"version": "v1"
}
] |
2011-06-16
|
[
[
"Nagy",
"S.",
""
],
[
"Sailer",
"K.",
""
]
] |
Functional renormalization group methods formulated in the real-time formalism are applied to the $O(N)$ symmetric quantum anharmonic oscillator, considered as a $0+1$ dimensional quantum field-theoric model, in the next-to-leading order of the gradient expansion of the one- and two-particle irreducible effective action. The infrared scaling laws and the sensitivity-matrix analysis show the existence of only a single, symmetric phase. The field-independent term of the wavefunction renormalization turned out to be negligible, but its field-dependent piece is noticeable. It is shown that the infrared limits of the running couplings depend on the renormalization group scheme used, when the perturbation expansion in the bare quartic coupling is truncated keeping the terms up to the second order.
|
hep-th/0512036
|
Mohsen Alishahiha
|
Mohsen Alishahiha, Batool Safarzadeh, Hossein Yavartanoo
|
On Supergravity Solutions of Branes in Melvin Universes
|
25 pages, latex file; v2: typos corrected, Refs. added
|
JHEP0601:153,2006
|
10.1088/1126-6708/2006/01/153
|
IPM/P-2005/083
|
hep-th
| null |
We study supergravity solutions of type II branes wrapping a Melvin universe.
These solutions provide the gravity description of non-commutative field
theories with non-constant non-commutative parameter. Typically these theories
are non-supersymmetric, though they exhibit some feature of their corresponding
supersymmetric theories. An interesting feature of these non-commutative
theories is that there is a critical length in the theory in which for
distances larger than this length the effects of non-commutativity become
important and for smaller distances these effects are negligible. Therefore we
would expect to see this kind of non-commutativity in large distances which
might be relevant in cosmology. We also study M5-brane wrapping on
11-dimensional Melvin universe and its descendant theories upon compactifying
on a circle.
|
[
{
"created": "Sun, 4 Dec 2005 12:53:18 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Dec 2005 11:06:44 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Alishahiha",
"Mohsen",
""
],
[
"Safarzadeh",
"Batool",
""
],
[
"Yavartanoo",
"Hossein",
""
]
] |
We study supergravity solutions of type II branes wrapping a Melvin universe. These solutions provide the gravity description of non-commutative field theories with non-constant non-commutative parameter. Typically these theories are non-supersymmetric, though they exhibit some feature of their corresponding supersymmetric theories. An interesting feature of these non-commutative theories is that there is a critical length in the theory in which for distances larger than this length the effects of non-commutativity become important and for smaller distances these effects are negligible. Therefore we would expect to see this kind of non-commutativity in large distances which might be relevant in cosmology. We also study M5-brane wrapping on 11-dimensional Melvin universe and its descendant theories upon compactifying on a circle.
|
hep-th/0412247
|
Sang-Jin Sin
|
Sunggeun Lee, Sang-Jin Sin
|
Closed string tachyon potential and $tt^*$ equation
|
15 pages, reference added. to appear in PLB
|
Phys.Lett.B614:113-123,2005
|
10.1016/j.physletb.2005.03.069
| null |
hep-th
| null |
Recently Dabholkar and Vafa proposed that closed string tachyon potential for
non-supersymmetric orbifold $\C/\Z_3$ in terms of the solution of a $tt^*$
equation. We extend this result to $\C^2/\Z_n$ for $n=3,4,5$. Interestingly,
the tachyon potentials for $n=3$ and 4 are still given in terms of the
solutions of Painleve III type equation that appeared in the study of
$\C^1/\Z_3$ with different boundary conditions. For $\C^2/\Z_5$ case, governing
equations are of generalized Toda type. The potential is monotonically
decreasing function of RG flow.
|
[
{
"created": "Tue, 21 Dec 2004 07:25:12 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Mar 2005 05:40:06 GMT",
"version": "v2"
}
] |
2010-12-03
|
[
[
"Lee",
"Sunggeun",
""
],
[
"Sin",
"Sang-Jin",
""
]
] |
Recently Dabholkar and Vafa proposed that closed string tachyon potential for non-supersymmetric orbifold $\C/\Z_3$ in terms of the solution of a $tt^*$ equation. We extend this result to $\C^2/\Z_n$ for $n=3,4,5$. Interestingly, the tachyon potentials for $n=3$ and 4 are still given in terms of the solutions of Painleve III type equation that appeared in the study of $\C^1/\Z_3$ with different boundary conditions. For $\C^2/\Z_5$ case, governing equations are of generalized Toda type. The potential is monotonically decreasing function of RG flow.
|
1910.01610
|
Zhen Zhong
|
Hongbao Zhang, Zhen Zhong
|
Strong cosmic censorship in de Sitter space: As strong as ever
|
5 pages, 5 figures, 1 table
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The strong cosmic censorship has recently been put into question for the
charged black holes in de Sitter space. We have performed the full non-linear
evolution of the massless charged scalar field minimally coupled to the
Einstein-Maxwell system in de Sitter space, and found that the non-linear
effect can restore the strong cosmic censorship, making it as strong as ever.
|
[
{
"created": "Thu, 3 Oct 2019 17:24:56 GMT",
"version": "v1"
}
] |
2019-10-04
|
[
[
"Zhang",
"Hongbao",
""
],
[
"Zhong",
"Zhen",
""
]
] |
The strong cosmic censorship has recently been put into question for the charged black holes in de Sitter space. We have performed the full non-linear evolution of the massless charged scalar field minimally coupled to the Einstein-Maxwell system in de Sitter space, and found that the non-linear effect can restore the strong cosmic censorship, making it as strong as ever.
|
1512.09120
|
Hilmar Forkel
|
Hilmar Forkel
|
Analytical approach to the D3-brane gravity dual for 3d Yang-Mills
theory
|
15 pages, 2 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The complexity of "top-down" string-dual candidates for strongly-coupled
Yang-Mills theories and in particular for QCD almost always prohibits their
exact analytical or even comprehensive numerical treatment. This impedes both a
thorough quantitative analysis and the development of more realistic gravity
duals. To mitigate these impediments, we devise an analytical approach to
top-down duals on the basis of controlled, uniformly converging high-accuracy
approximations for the normalizable string modes corresponding to gauge-theory
states. We demonstrate the potential of this approach in Witten's dual for $3d$
Yang-Mills theory, i.e. in the near-horizon limit of non-extremal
$D\text{3}$-branes, compactified on $S^{1}$. We obtain accurate analytical
approximations to the bulk modes which satisfy the boundary conditions exactly.
On their basis, analytical results for masses, sizes, pole residues and
correlation functions of glueball excitations are derived by spectral methods.
These approximations can be systematically improved and rather universally
adapted to more complex gravity duals.
|
[
{
"created": "Wed, 30 Dec 2015 20:51:51 GMT",
"version": "v1"
}
] |
2015-12-31
|
[
[
"Forkel",
"Hilmar",
""
]
] |
The complexity of "top-down" string-dual candidates for strongly-coupled Yang-Mills theories and in particular for QCD almost always prohibits their exact analytical or even comprehensive numerical treatment. This impedes both a thorough quantitative analysis and the development of more realistic gravity duals. To mitigate these impediments, we devise an analytical approach to top-down duals on the basis of controlled, uniformly converging high-accuracy approximations for the normalizable string modes corresponding to gauge-theory states. We demonstrate the potential of this approach in Witten's dual for $3d$ Yang-Mills theory, i.e. in the near-horizon limit of non-extremal $D\text{3}$-branes, compactified on $S^{1}$. We obtain accurate analytical approximations to the bulk modes which satisfy the boundary conditions exactly. On their basis, analytical results for masses, sizes, pole residues and correlation functions of glueball excitations are derived by spectral methods. These approximations can be systematically improved and rather universally adapted to more complex gravity duals.
|
hep-th/0703188
|
Laura Andrianopoli Dr
|
Laura Andrianopoli, Riccardo D'Auria, Luca Sommovigo
|
On the coupling of tensors to gauge fields: D=5, N=2 supergravity
revisited
|
30 pages
| null | null | null |
hep-th
| null |
A general free differential algebra encoding the anti-Higgs mechanism among
two-index antisymmetric tensors and gauge vectors is analyzed at the full group
theoretical level. N=2 supergravity in five dimensions coupled to tensor,
vector and hyper multiplets with all possible couplings included is
reconsidered from this point of view. Within our approach, we find that some of
the constraints on the couplings usually considered are too stringent and may
in fact be relaxed. This generalization also affects the scalar potential.
|
[
{
"created": "Wed, 21 Mar 2007 15:25:23 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Andrianopoli",
"Laura",
""
],
[
"D'Auria",
"Riccardo",
""
],
[
"Sommovigo",
"Luca",
""
]
] |
A general free differential algebra encoding the anti-Higgs mechanism among two-index antisymmetric tensors and gauge vectors is analyzed at the full group theoretical level. N=2 supergravity in five dimensions coupled to tensor, vector and hyper multiplets with all possible couplings included is reconsidered from this point of view. Within our approach, we find that some of the constraints on the couplings usually considered are too stringent and may in fact be relaxed. This generalization also affects the scalar potential.
|
hep-th/0009166
|
Alexei Nurmagambetov
|
S. Fedoruk, V. G. Zima
|
Massive Superparticle with Tensorial Central Charges
|
20 pages, Latex
|
Mod.Phys.Lett.A15:2281-2296,2000
|
10.1142/S0217732300002875
| null |
hep-th
| null |
We construct the manifestly Lorenz-invariant formulation of the N=1 D=4
massive superparticle with tensorial central charges. The model contains a real
parameter k and at $k\ne 0$ possesses one $\kappa$-symmetry while at k=0 the
number of $\kappa$-symmetry is two. The equivalence of the formulations at all
$k\ne 0$ is obtained. The local transformations of $\kappa$-symmetry are
written out. It is considered the using of index spinor for construction of the
tensorial central charges. It is obtained the equivalence at classical level
between the massive D=4 superparticle with one $\kappa$-symmetry and the
massive D=4 spinning particle
|
[
{
"created": "Thu, 21 Sep 2000 12:37:05 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Fedoruk",
"S.",
""
],
[
"Zima",
"V. G.",
""
]
] |
We construct the manifestly Lorenz-invariant formulation of the N=1 D=4 massive superparticle with tensorial central charges. The model contains a real parameter k and at $k\ne 0$ possesses one $\kappa$-symmetry while at k=0 the number of $\kappa$-symmetry is two. The equivalence of the formulations at all $k\ne 0$ is obtained. The local transformations of $\kappa$-symmetry are written out. It is considered the using of index spinor for construction of the tensorial central charges. It is obtained the equivalence at classical level between the massive D=4 superparticle with one $\kappa$-symmetry and the massive D=4 spinning particle
|
hep-th/9703003
|
Maximilian Kreuzer
|
A.C. Avram, M. Kreuzer, M. Mandelberg and H. Skarke
|
The web of Calabi-Yau hypersurfaces in toric varieties
|
TeX, epsf.tex; 24 pages
|
Nucl.Phys. B505 (1997) 625-640
|
10.1016/S0550-3213(97)00582-8
|
JHU-TIPAC-96028, TUW-97-05, UTTG-07-97
|
hep-th
| null |
Recent results on duality between string theories and connectedness of their
moduli spaces seem to go a long way toward establishing the uniqueness of an
underlying theory. For the large class of Calabi-Yau 3-folds that can be
embedded as hypersurfaces in toric varieties the proof of mathematical
connectedness via singular limits is greatly simplified by using polytopes that
are maximal with respect to certain single or multiple weight systems. We
identify the multiple weight systems occurring in this approach. We show that
all of the corresponding Calabi-Yau manifolds are connected among themselves
and to the web of CICY's. This almost completes the proof of connectedness for
toric Calabi-Yau hypersurfaces.
|
[
{
"created": "Fri, 28 Feb 1997 10:30:14 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Avram",
"A. C.",
""
],
[
"Kreuzer",
"M.",
""
],
[
"Mandelberg",
"M.",
""
],
[
"Skarke",
"H.",
""
]
] |
Recent results on duality between string theories and connectedness of their moduli spaces seem to go a long way toward establishing the uniqueness of an underlying theory. For the large class of Calabi-Yau 3-folds that can be embedded as hypersurfaces in toric varieties the proof of mathematical connectedness via singular limits is greatly simplified by using polytopes that are maximal with respect to certain single or multiple weight systems. We identify the multiple weight systems occurring in this approach. We show that all of the corresponding Calabi-Yau manifolds are connected among themselves and to the web of CICY's. This almost completes the proof of connectedness for toric Calabi-Yau hypersurfaces.
|
2107.10534
|
Kenta Shiozawa
|
Tetsuji Kimura, Shin Sasaki, Kenta Shiozawa
|
Localized Kaluza-Klein 6-brane
|
27 pages, 1 figure, version published in JHEP
|
JHEP 10 (2021) 113
|
10.1007/JHEP10(2021)113
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We study the membrane wrapping mode corrections to the Kaluza-Klein (KK)
6-brane in eleven dimensions. We examine the localized KK6-brane in the
extended space in $E_{7(7)}$ exceptional field theory. In order to discuss the
physical origin of the localization in the extended space, we consider a probe
M2-brane in eleven dimensions. We show that a three-dimensional $\mathcal{N} =
4$ gauge theory is naturally interpreted as a membrane generalization of the
two-dimensional $\mathcal{N} = (4,4)$ gauged linear sigma model for the
fundamental string. We point out that the vector field in the $\mathcal{N}= 4$
model is identified as a dual coordinate of the KK6-brane geometry. We find
that the BPS vortex in the gauge theory gives rise to the violation of the
isometry along the dual direction. We then show that the vortex corrections are
regarded as an instanton effect in M-theory induced by the probe M2-brane
wrapping around the M-circle.
|
[
{
"created": "Thu, 22 Jul 2021 09:16:12 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Oct 2021 10:33:07 GMT",
"version": "v2"
}
] |
2021-10-20
|
[
[
"Kimura",
"Tetsuji",
""
],
[
"Sasaki",
"Shin",
""
],
[
"Shiozawa",
"Kenta",
""
]
] |
We study the membrane wrapping mode corrections to the Kaluza-Klein (KK) 6-brane in eleven dimensions. We examine the localized KK6-brane in the extended space in $E_{7(7)}$ exceptional field theory. In order to discuss the physical origin of the localization in the extended space, we consider a probe M2-brane in eleven dimensions. We show that a three-dimensional $\mathcal{N} = 4$ gauge theory is naturally interpreted as a membrane generalization of the two-dimensional $\mathcal{N} = (4,4)$ gauged linear sigma model for the fundamental string. We point out that the vector field in the $\mathcal{N}= 4$ model is identified as a dual coordinate of the KK6-brane geometry. We find that the BPS vortex in the gauge theory gives rise to the violation of the isometry along the dual direction. We then show that the vortex corrections are regarded as an instanton effect in M-theory induced by the probe M2-brane wrapping around the M-circle.
|
2011.06610
|
Dieter L\"ust
|
Quentin Bonnefoy, Luca Ciambelli, Dieter Lust, Severin Lust
|
The Swampland at Large Number of Space-Time Dimensions
|
24 pages, version 2 contains minor changes and one more reference
| null |
10.1007/JHEP07(2021)009
|
DESY 20-185, LMU-ASC 40/20, MPP-2020-192
|
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We discuss some aspects of swampland constraints - especially the swampland
distance conjecture - in a large number of space-time dimensions $D$. We
analyze Kaluza-Klein (KK) states at large $D$ and find that some KK spectra
possess an interesting dependence on $D$. On the basis of these observations we
propose a new large dimension conjecture. We apply it to KK states of
compactifications to anti-de Sitter backgrounds where it predicts an upper
bound on the dimension of space-time as a function of its characteristic
radius. We also apply our conjecture to black hole spacetimes, whose entropies
have a $D$-dependence very similar to that of the KK spectrum.
|
[
{
"created": "Thu, 12 Nov 2020 19:00:27 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Dec 2020 13:44:15 GMT",
"version": "v2"
}
] |
2021-07-21
|
[
[
"Bonnefoy",
"Quentin",
""
],
[
"Ciambelli",
"Luca",
""
],
[
"Lust",
"Dieter",
""
],
[
"Lust",
"Severin",
""
]
] |
We discuss some aspects of swampland constraints - especially the swampland distance conjecture - in a large number of space-time dimensions $D$. We analyze Kaluza-Klein (KK) states at large $D$ and find that some KK spectra possess an interesting dependence on $D$. On the basis of these observations we propose a new large dimension conjecture. We apply it to KK states of compactifications to anti-de Sitter backgrounds where it predicts an upper bound on the dimension of space-time as a function of its characteristic radius. We also apply our conjecture to black hole spacetimes, whose entropies have a $D$-dependence very similar to that of the KK spectrum.
|
2105.08080
|
Gokce Basar
|
Gokce Basar
|
Universality, Lee-Yang singularities and series expansions
|
7 pages, 4 figures
| null |
10.1103/PhysRevLett.127.171603
| null |
hep-th cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We introduce a new way of reconstructing the equation of state of a
thermodynamic system near a second order critical point from a finite set of
Taylor coefficients computed away from the critical point. We focus on the
Ising universality class (${\mathbb Z}_2$ symmetry) and show that in the
crossover region of the phase diagram it is possible to efficiently extract the
location of the nearest thermodynamic singularity, the Lee-Yang edge
singularity, from which one can (i) determine the location of the critical
point, (ii) constrain the non-universal parameters that maps the equation of
state to that of the Ising model in the scaling regime, and (iii) numerically
evaluate the equation of state in the vicinity of the critical point. This is
done by using a combination of Pad\'e resummation and conformal maps. We
explicitly demonstrate these ideas in the celebrated Gross-Neveu model.
|
[
{
"created": "Mon, 17 May 2021 18:00:10 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Jun 2021 18:00:01 GMT",
"version": "v2"
}
] |
2021-11-03
|
[
[
"Basar",
"Gokce",
""
]
] |
We introduce a new way of reconstructing the equation of state of a thermodynamic system near a second order critical point from a finite set of Taylor coefficients computed away from the critical point. We focus on the Ising universality class (${\mathbb Z}_2$ symmetry) and show that in the crossover region of the phase diagram it is possible to efficiently extract the location of the nearest thermodynamic singularity, the Lee-Yang edge singularity, from which one can (i) determine the location of the critical point, (ii) constrain the non-universal parameters that maps the equation of state to that of the Ising model in the scaling regime, and (iii) numerically evaluate the equation of state in the vicinity of the critical point. This is done by using a combination of Pad\'e resummation and conformal maps. We explicitly demonstrate these ideas in the celebrated Gross-Neveu model.
|
hep-th/0001173
|
Peter Bantay
|
P. Bantay (Rolland Eotvos University, Budapest)
|
Frobenius-Schur Indicators, the Klein-bottle Amplitude, and the
Principle of Orbifold Covariance
|
5 pages
|
Phys.Lett. B488 (2000) 207-210
|
10.1016/S0370-2693(00)00802-9
| null |
hep-th
| null |
The "orbifold covariance principle", or OCP for short, is presented to
support a conjecture of Pradisi, Sagnotti and Stanev on the expression of the
Klein- bottle amplitude.
|
[
{
"created": "Wed, 26 Jan 2000 12:31:02 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Bantay",
"P.",
"",
"Rolland Eotvos University, Budapest"
]
] |
The "orbifold covariance principle", or OCP for short, is presented to support a conjecture of Pradisi, Sagnotti and Stanev on the expression of the Klein- bottle amplitude.
|
1507.02294
|
Hong Lu
|
Hai-Shan Liu, H. Lu and C.N. Pope
|
Generalised Smarr Formula and the Viscosity Bound for
Einstein-Maxwell-Dilaton Black Holes
|
Latex, 36 pages, references added, typos corrected, to appear in PRD
|
Phys. Rev. D 92, 064014 (2015)
|
10.1103/PhysRevD.92.064014
|
MI-TH-1525
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the shear viscosity to entropy ratio $\eta/S$ in the boundary field
theories dual to black hole backgrounds in theories of gravity coupled to a
scalar field, and generalisations including a Maxwell field and non-minimal
scalar couplings. Motivated by the observation in simple examples that the
saturation of the $\eta/S\ge 1/(4\pi)$ bound is correlated with the existence
of a generalised Smarr relation for the planar black-hole solutions, we
investigate this in detail for the general black-hole solutions in these
theories, focusing especially on the cases where the scalar field plays a
non-trivial role and gives rise to an additional parameter in the space of
solutions. We find that a generalised Smarr relation holds in all cases, and in
fact it can be viewed as the bulk gravity dual of the statement of the
saturation of the viscosity to entropy bound. We obtain the generalised Smarr
relation, whose existence depends upon a scaling symmetry of the planar
black-hole solutions, by two different but related methods, one based on
integrating the first law of thermodynamics, and the other based on the
construction of a conserved Noether charge.
|
[
{
"created": "Wed, 8 Jul 2015 20:03:52 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Jul 2015 15:54:23 GMT",
"version": "v2"
},
{
"created": "Tue, 22 Sep 2015 08:49:08 GMT",
"version": "v3"
}
] |
2015-09-23
|
[
[
"Liu",
"Hai-Shan",
""
],
[
"Lu",
"H.",
""
],
[
"Pope",
"C. N.",
""
]
] |
We study the shear viscosity to entropy ratio $\eta/S$ in the boundary field theories dual to black hole backgrounds in theories of gravity coupled to a scalar field, and generalisations including a Maxwell field and non-minimal scalar couplings. Motivated by the observation in simple examples that the saturation of the $\eta/S\ge 1/(4\pi)$ bound is correlated with the existence of a generalised Smarr relation for the planar black-hole solutions, we investigate this in detail for the general black-hole solutions in these theories, focusing especially on the cases where the scalar field plays a non-trivial role and gives rise to an additional parameter in the space of solutions. We find that a generalised Smarr relation holds in all cases, and in fact it can be viewed as the bulk gravity dual of the statement of the saturation of the viscosity to entropy bound. We obtain the generalised Smarr relation, whose existence depends upon a scaling symmetry of the planar black-hole solutions, by two different but related methods, one based on integrating the first law of thermodynamics, and the other based on the construction of a conserved Noether charge.
|
hep-th/9404128
|
D'Hoker
|
Eric D'Hoker and D.H. Phong
|
Dispersion Relations in String Theory
|
17 pages, COLUMBIA-YITP-UCLA/93/TEP/45 (figures fixed up)
|
Theor.Math.Phys.98:306-316,1994; Teor.Mat.Fiz.98:442-455,1994
|
10.1007/BF01102207
| null |
hep-th
| null |
We analyze the analytic continuation of the formally divergent one-loop
amplitude for scattering of the graviton multiplet in the Type II Superstring.
In particular we obtain explicit double and single dispersion relations,
formulas for all the successive branch cuts extending out to plus infinity, as
well as for the decay rate of a massive string state of arbitrary mass 2N into
two string states of lower mass. We compare our results with the box diagram in
a superposition of $\phi^3$-like field theories. The stringy effects are traced
to a convergence problem in this superposition.
|
[
{
"created": "Thu, 21 Apr 1994 01:03:00 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Apr 1994 21:58:52 GMT",
"version": "v2"
}
] |
2011-04-20
|
[
[
"D'Hoker",
"Eric",
""
],
[
"Phong",
"D. H.",
""
]
] |
We analyze the analytic continuation of the formally divergent one-loop amplitude for scattering of the graviton multiplet in the Type II Superstring. In particular we obtain explicit double and single dispersion relations, formulas for all the successive branch cuts extending out to plus infinity, as well as for the decay rate of a massive string state of arbitrary mass 2N into two string states of lower mass. We compare our results with the box diagram in a superposition of $\phi^3$-like field theories. The stringy effects are traced to a convergence problem in this superposition.
|
1312.0527
|
Cheng-Yang Lee
|
Cheng-Yang Lee
|
Massive fermions in 2+1 dimensions
|
11 pages, no figures. New results on higher-spin fields added
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct the higher-spin massive fermionic fields in 2+1 dimensions.
Their field equations and propagators are derived from first principle. For
fields with j>1/2, complications arise from the non-linear behaviour of the
boost operators. We find that for a spin-three-half field, the non-linearity
have an underlying structure that guarantees the locality of the fields and the
existence of covariant propagators. We conjecture that this structure exists
for fields of all spin.
|
[
{
"created": "Mon, 2 Dec 2013 17:39:20 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Jan 2014 16:46:17 GMT",
"version": "v2"
},
{
"created": "Fri, 24 Apr 2015 12:20:12 GMT",
"version": "v3"
}
] |
2015-04-27
|
[
[
"Lee",
"Cheng-Yang",
""
]
] |
We construct the higher-spin massive fermionic fields in 2+1 dimensions. Their field equations and propagators are derived from first principle. For fields with j>1/2, complications arise from the non-linear behaviour of the boost operators. We find that for a spin-three-half field, the non-linearity have an underlying structure that guarantees the locality of the fields and the existence of covariant propagators. We conjecture that this structure exists for fields of all spin.
|
0907.2695
|
Erik Verlinde P
|
Jan de Boer, Kyriakos Papadodimas and Erik Verlinde
|
Holographic Neutron Stars
|
4 pages, 3 figures, pdflatex. Typos and cross reference corrected,
discussion clarified
|
JHEP 1010:020,2010
|
10.1007/JHEP10(2010)020
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct in the context of the AdS/CFT correspondence degenerate
composite operators in the conformal field theory that are holographically dual
to degenerate stars in anti de Sitter space. We calculate the effect of the
gravitational back-reaction using the Tolman-Oppenheimer-Volkoff equations, and
determine the "Chandrasekhar limit" beyond which the star undergoes
gravitational collapse towards a black hole.
|
[
{
"created": "Thu, 16 Jul 2009 09:07:28 GMT",
"version": "v1"
},
{
"created": "Sun, 19 Jul 2009 20:32:41 GMT",
"version": "v2"
},
{
"created": "Thu, 23 Jul 2009 11:21:44 GMT",
"version": "v3"
}
] |
2010-11-12
|
[
[
"de Boer",
"Jan",
""
],
[
"Papadodimas",
"Kyriakos",
""
],
[
"Verlinde",
"Erik",
""
]
] |
We construct in the context of the AdS/CFT correspondence degenerate composite operators in the conformal field theory that are holographically dual to degenerate stars in anti de Sitter space. We calculate the effect of the gravitational back-reaction using the Tolman-Oppenheimer-Volkoff equations, and determine the "Chandrasekhar limit" beyond which the star undergoes gravitational collapse towards a black hole.
|
2110.01916
|
Silvia Pla Garc\'ia
|
Silvia Pla, Jose Navarro-Salas
|
New partial resummation of the QED effective action
|
10 pages. Contribution to the Marcel Grossmann Meeting 2021
| null | null | null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explain a conjecture which states that the proper-time series expansion of
the one-loop effective Lagrangian of quantum electrodynamics can be partially
summed in all terms containing the field-strength invariants $\mathcal{F} =
\frac{1}{4} F_{\mu\nu}F^{\mu\nu} (x)$, $\mathcal{G}= \frac{1}{4} \tilde
F_{\mu\nu}F^{\mu\nu}(x)$. This summation is encapsulated in a factor with the
same form as the (spacetime-dependent) Heisenberg-Euler Lagrangian density. We
also discuss some implications and a possible extension in presence of gravity.
We will focus on the scalar field case.
|
[
{
"created": "Tue, 5 Oct 2021 10:08:58 GMT",
"version": "v1"
}
] |
2021-10-06
|
[
[
"Pla",
"Silvia",
""
],
[
"Navarro-Salas",
"Jose",
""
]
] |
We explain a conjecture which states that the proper-time series expansion of the one-loop effective Lagrangian of quantum electrodynamics can be partially summed in all terms containing the field-strength invariants $\mathcal{F} = \frac{1}{4} F_{\mu\nu}F^{\mu\nu} (x)$, $\mathcal{G}= \frac{1}{4} \tilde F_{\mu\nu}F^{\mu\nu}(x)$. This summation is encapsulated in a factor with the same form as the (spacetime-dependent) Heisenberg-Euler Lagrangian density. We also discuss some implications and a possible extension in presence of gravity. We will focus on the scalar field case.
|
1101.5033
|
Luis Granda
|
L. N. Granda
|
Holographic unification of dark matter and dark energy
|
10 pages, time integration clarified
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using a new version of the holographic principle, a constant term was
introduced, which conduces to the description of the standard cosmological LCDM
model, and unifies under the same concept the dark matter and dark energy
phenomena. The obtained model improves the results of previously considered
holographic models based on local quantities. The inclusion of constant term is
interpreted as a natural first approximation for the infrared cutoff which is
associated with the vacuum energy, and the additional terms guarantee an
appropriate evolutionary scenario that fits the astrophysical observations. The
model allows to reproduce the standard LCDM model without explicitly
introducing matter content, and using only geometrical quantities. It is also
obtained that the model may describe the dark energy beyond the standard LCDM.
|
[
{
"created": "Wed, 26 Jan 2011 11:45:06 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Jan 2011 12:58:15 GMT",
"version": "v2"
},
{
"created": "Mon, 31 Jan 2011 17:42:35 GMT",
"version": "v3"
},
{
"created": "Wed, 2 Feb 2011 19:56:42 GMT",
"version": "v4"
}
] |
2011-02-03
|
[
[
"Granda",
"L. N.",
""
]
] |
Using a new version of the holographic principle, a constant term was introduced, which conduces to the description of the standard cosmological LCDM model, and unifies under the same concept the dark matter and dark energy phenomena. The obtained model improves the results of previously considered holographic models based on local quantities. The inclusion of constant term is interpreted as a natural first approximation for the infrared cutoff which is associated with the vacuum energy, and the additional terms guarantee an appropriate evolutionary scenario that fits the astrophysical observations. The model allows to reproduce the standard LCDM model without explicitly introducing matter content, and using only geometrical quantities. It is also obtained that the model may describe the dark energy beyond the standard LCDM.
|
1804.06974
|
Takahiro Kubota
|
Ryo Saito and Takahiro Kubota
|
Heavy Particle Signatures in Cosmological Correlation Functions with
Tensor Modes
|
37 pages, 12 figures, added references, corrected typos, added
Appendix C
| null |
10.1088/1475-7516/2018/06/009
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explore the possibility to make use of cosmological data to look for
signatures of unknown heavy particles whose masses are on the order of the
Hubble parameter during the time of inflation. To be more specific we take up
the quasi-single field inflation model, in which the isocurvaton $\sigma $ is
supposed to be the heavy particle. We study correlation functions involving
both scalar ($\zeta $) and tensor ($\gamma $) perturbations and search for
imprints of the $\sigma$-particle effects. We make use of the technique of the
effective field theory for inflation to derive the $\zeta \sigma $ and $\gamma
\zeta \sigma $ couplings. With these couplings we compute the effects due to
$\sigma $ to the power spectrum $\langle \zeta \zeta \rangle $ and correlations
$\langle \gamma^{s} \zeta \zeta \rangle$ and $\langle \gamma^{s_{1}} \gamma
^{s_{2}} \zeta \zeta \rangle $, where $s$, $s_{1}$ and $s_{2}$ are the
polarization indices of gravitons. Numerical analyses of the $\sigma$-mass
effects to these corrlations are presented. It is argued that future precise
observations of these correlations could make it possible to measure the
$\sigma$-mass and the strength of the $\zeta \sigma$ and $\gamma \zeta \sigma$
couplings. As an extension to the $N$-graviton case we also compute the
correlations $\langle \gamma ^{s_{1}} \cdots \gamma ^{s_{N}} \zeta \zeta
\rangle $ and $\langle \gamma ^{s_{1}} \cdots \cdots \gamma ^{s_{2N}} \zeta
\zeta \rangle $ and their $\sigma$-mass effects. It is suggested that larger
$N$ correlation functions are useful to probe larger $\sigma$-mass .
|
[
{
"created": "Thu, 19 Apr 2018 02:04:06 GMT",
"version": "v1"
},
{
"created": "Sat, 28 Apr 2018 05:08:53 GMT",
"version": "v2"
},
{
"created": "Wed, 9 May 2018 12:21:23 GMT",
"version": "v3"
},
{
"created": "Thu, 24 May 2018 01:29:59 GMT",
"version": "v4"
}
] |
2018-06-13
|
[
[
"Saito",
"Ryo",
""
],
[
"Kubota",
"Takahiro",
""
]
] |
We explore the possibility to make use of cosmological data to look for signatures of unknown heavy particles whose masses are on the order of the Hubble parameter during the time of inflation. To be more specific we take up the quasi-single field inflation model, in which the isocurvaton $\sigma $ is supposed to be the heavy particle. We study correlation functions involving both scalar ($\zeta $) and tensor ($\gamma $) perturbations and search for imprints of the $\sigma$-particle effects. We make use of the technique of the effective field theory for inflation to derive the $\zeta \sigma $ and $\gamma \zeta \sigma $ couplings. With these couplings we compute the effects due to $\sigma $ to the power spectrum $\langle \zeta \zeta \rangle $ and correlations $\langle \gamma^{s} \zeta \zeta \rangle$ and $\langle \gamma^{s_{1}} \gamma ^{s_{2}} \zeta \zeta \rangle $, where $s$, $s_{1}$ and $s_{2}$ are the polarization indices of gravitons. Numerical analyses of the $\sigma$-mass effects to these corrlations are presented. It is argued that future precise observations of these correlations could make it possible to measure the $\sigma$-mass and the strength of the $\zeta \sigma$ and $\gamma \zeta \sigma$ couplings. As an extension to the $N$-graviton case we also compute the correlations $\langle \gamma ^{s_{1}} \cdots \gamma ^{s_{N}} \zeta \zeta \rangle $ and $\langle \gamma ^{s_{1}} \cdots \cdots \gamma ^{s_{2N}} \zeta \zeta \rangle $ and their $\sigma$-mass effects. It is suggested that larger $N$ correlation functions are useful to probe larger $\sigma$-mass .
|
hep-th/9710059
|
Sher Alam
|
S. Alam (KEK)
|
Comments, Questions and Proposal of a Topological M(atrix) Theory
|
23 pages, RevTex, typos fixed, D=9 and D=8 cases added and a section
on the origin of chemical potential term added
| null | null |
KEK preprint KEK-TH-545, KEK Preprint 97-159
|
hep-th
| null |
Keeping in mind the several models of M(atrix) theory we attempt to
understand the possible structure of the topological M(atrix) theory
``underlying'' these approaches. In particular we raise the issue about the
nature of the structure of the vacuum of the topological M(atrix) theory and
how this could be related to the vacuum of the electroweak theory. In doing so
we are led to a simple Topological Matrix Model. Moreover it is expected from
the current understanding that the noncommutative nature of ``spacetime'' and
background independence should lead to Topological Model. The main purpose of
this note is to propose a simple Topological Matrix Model which bears relation
to F and M theories. Suggestions on the origin of the chemical potential term
appearing in the matrix models are given.
|
[
{
"created": "Tue, 7 Oct 1997 15:39:17 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Oct 1997 12:53:30 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Alam",
"S.",
"",
"KEK"
]
] |
Keeping in mind the several models of M(atrix) theory we attempt to understand the possible structure of the topological M(atrix) theory ``underlying'' these approaches. In particular we raise the issue about the nature of the structure of the vacuum of the topological M(atrix) theory and how this could be related to the vacuum of the electroweak theory. In doing so we are led to a simple Topological Matrix Model. Moreover it is expected from the current understanding that the noncommutative nature of ``spacetime'' and background independence should lead to Topological Model. The main purpose of this note is to propose a simple Topological Matrix Model which bears relation to F and M theories. Suggestions on the origin of the chemical potential term appearing in the matrix models are given.
|
2201.06805
|
Sabrina Pasterski
|
Sabrina Pasterski
|
A Shorter Path to Celestial Currents
|
9 pages
| null |
10.1007/JHEP05(2023)190
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Here we consider what happens when we lift a codimension-1 slice of the
celestial sphere to a codimension-1 slice of the bulk spacetime in a manner
that respects our ability to quotient by the null generators of
$\mathcal{I}^\pm$ to get to our codimension-2 hologram. The contour integrals
of the 2D currents for the celestial symmetries lift to the standard boundary
integrals of the 2-form generators for the gauge theory and celestial Ward
identities follow directly from Noether's theorem.
|
[
{
"created": "Tue, 18 Jan 2022 08:12:34 GMT",
"version": "v1"
}
] |
2023-06-14
|
[
[
"Pasterski",
"Sabrina",
""
]
] |
Here we consider what happens when we lift a codimension-1 slice of the celestial sphere to a codimension-1 slice of the bulk spacetime in a manner that respects our ability to quotient by the null generators of $\mathcal{I}^\pm$ to get to our codimension-2 hologram. The contour integrals of the 2D currents for the celestial symmetries lift to the standard boundary integrals of the 2-form generators for the gauge theory and celestial Ward identities follow directly from Noether's theorem.
|
1111.4474
|
Andrei Barvinsky
|
A. O. Barvinsky and D. V. Nesterov
|
Monodromies and functional determinants in the CFT driven quantum
cosmology
|
11 pages, final version published in Phys. Rev. DD85, 064006 (2012)
|
Phys. Rev. D85, 064006 (2012)
|
10.1103/PhysRevD.85.064006
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We apply the monodromy method for the calculation of the functional
determinant of a special second order differential operator
$F=-d^2/d\tau^2+{\ddot g}/g$, $\ddot g= d^2g/d\tau^2$, subject to periodic
boundary conditions with a periodic zero mode $g=g(\tau)$. This operator arises
in applications of the early Universe theory and, in particular, determines the
one-loop statistical sum for the microcanonical ensemble in cosmology generated
by a conformal field theory (CFT). This ensemble realizes the concept of
cosmological initial conditions by generalizing the notion of the no-boundary
wavefunction of the Universe to the level of a special quasi-thermal state
which is dominated by instantons with an oscillating scale factor of their
Euclidean Friedmann-Robertson-Walker metric. These oscillations result in the
multi-node nature of the zero mode $g(\tau)$ of $F$, which is gauged out from
its reduced functional determinant by the method of the Faddeev-Popov gauge
fixing procedure. The calculation is done for a general case of multiple nodes
(roots) within the period range of the Euclidean time $\tau$, thus generalizing
the previously known result for the single-node case of one oscillation of the
cosmological scale factor. The functional determinant of $F$ expresses in terms
of the monodromy of its basis function, which is obtained in quadratures as a
sum of contributions of time segments connecting neighboring pairs of the zero
mode roots within the period range.
|
[
{
"created": "Fri, 18 Nov 2011 20:47:27 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Nov 2012 11:54:16 GMT",
"version": "v2"
}
] |
2013-05-30
|
[
[
"Barvinsky",
"A. O.",
""
],
[
"Nesterov",
"D. V.",
""
]
] |
We apply the monodromy method for the calculation of the functional determinant of a special second order differential operator $F=-d^2/d\tau^2+{\ddot g}/g$, $\ddot g= d^2g/d\tau^2$, subject to periodic boundary conditions with a periodic zero mode $g=g(\tau)$. This operator arises in applications of the early Universe theory and, in particular, determines the one-loop statistical sum for the microcanonical ensemble in cosmology generated by a conformal field theory (CFT). This ensemble realizes the concept of cosmological initial conditions by generalizing the notion of the no-boundary wavefunction of the Universe to the level of a special quasi-thermal state which is dominated by instantons with an oscillating scale factor of their Euclidean Friedmann-Robertson-Walker metric. These oscillations result in the multi-node nature of the zero mode $g(\tau)$ of $F$, which is gauged out from its reduced functional determinant by the method of the Faddeev-Popov gauge fixing procedure. The calculation is done for a general case of multiple nodes (roots) within the period range of the Euclidean time $\tau$, thus generalizing the previously known result for the single-node case of one oscillation of the cosmological scale factor. The functional determinant of $F$ expresses in terms of the monodromy of its basis function, which is obtained in quadratures as a sum of contributions of time segments connecting neighboring pairs of the zero mode roots within the period range.
|
hep-th/9612100
|
Artemio Gonzalez Lopez
|
Artemio Gonz\'alez-L\'opez (Dept. F\'isica Te\'orica II, U.
Complutense, Madrid) and Niky Kamran (The Fields Institute, Toronto)
|
The Multidimensional Darboux Transformation
|
plain TeX, 29 pages. Auxiliary file Darboux.ref and macros file
ao.tex
|
J.Geom.Phys. 26 (1998) 202-226
|
10.1016/S0393-0440(97)00044-2
|
UCM-FTII 12/96
|
hep-th dg-ga math-ph math.DG math.MP nlin.SI solv-int
| null |
A generalization of the classical one-dimensional Darboux transformation to
arbitrary n-dimensional oriented Riemannian manifolds is constructed using an
intrinsic formulation based on the properties of twisted Hodge Laplacians. The
classical two-dimensional Moutard transformation is also generalized to
non-compact oriented Riemannian manifolds of dimension n greater than one. New
examples of quasi-exactly solvable multidimensional matrix Schr\"odinger
operators on curved manifolds are obtained by applying the above results.
|
[
{
"created": "Tue, 10 Dec 1996 11:21:48 GMT",
"version": "v1"
}
] |
2016-08-15
|
[
[
"González-López",
"Artemio",
"",
"Dept. Física Teórica II, U.\n Complutense, Madrid"
],
[
"Kamran",
"Niky",
"",
"The Fields Institute, Toronto"
]
] |
A generalization of the classical one-dimensional Darboux transformation to arbitrary n-dimensional oriented Riemannian manifolds is constructed using an intrinsic formulation based on the properties of twisted Hodge Laplacians. The classical two-dimensional Moutard transformation is also generalized to non-compact oriented Riemannian manifolds of dimension n greater than one. New examples of quasi-exactly solvable multidimensional matrix Schr\"odinger operators on curved manifolds are obtained by applying the above results.
|
2305.04259
|
Jiong Lin
|
Debarshi Basu, Jiong Lin, Yizhou Lu and Qiang Wen
|
Ownerless island and partial entanglement entropy in island phases
| null |
SciPost Phys. 15, 227 (2023)
|
10.21468/SciPostPhys.15.6.227
| null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the context of partial entanglement entropy (PEE), we study the
entanglement structure of the island phases realized in several 2-dimensional
holographic set-ups. The self-encoding property of the island phase changes the
way we evaluate the PEE. With the contributions from islands taken into
account, we give a generalized prescription to construct PEE and balanced
partial entanglement entropy (BPE). Here the ownerless island region, which
lies inside the island $\text{Is}(AB)$ of $A\cup B$ but outside
$\text{Is}(A)\cup \text{Is}(B)$, plays a crucial role. Remarkably, we find that
under different assignments for the ownerless island, we get different BPEs,
which exactly correspond to different saddles of the entanglement wedge
cross-section (EWCS) in the entanglement wedge of $A\cup B$. The assignments
can be settled by choosing the one that minimizes the BPE. Furthermore, under
this assignment we study the PEE and give a geometric picture for the PEE in
holography, which is consistent with the geometric picture in the no-island
phases.
|
[
{
"created": "Sun, 7 May 2023 12:27:52 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Aug 2023 08:58:45 GMT",
"version": "v2"
},
{
"created": "Wed, 6 Dec 2023 15:08:51 GMT",
"version": "v3"
}
] |
2023-12-07
|
[
[
"Basu",
"Debarshi",
""
],
[
"Lin",
"Jiong",
""
],
[
"Lu",
"Yizhou",
""
],
[
"Wen",
"Qiang",
""
]
] |
In the context of partial entanglement entropy (PEE), we study the entanglement structure of the island phases realized in several 2-dimensional holographic set-ups. The self-encoding property of the island phase changes the way we evaluate the PEE. With the contributions from islands taken into account, we give a generalized prescription to construct PEE and balanced partial entanglement entropy (BPE). Here the ownerless island region, which lies inside the island $\text{Is}(AB)$ of $A\cup B$ but outside $\text{Is}(A)\cup \text{Is}(B)$, plays a crucial role. Remarkably, we find that under different assignments for the ownerless island, we get different BPEs, which exactly correspond to different saddles of the entanglement wedge cross-section (EWCS) in the entanglement wedge of $A\cup B$. The assignments can be settled by choosing the one that minimizes the BPE. Furthermore, under this assignment we study the PEE and give a geometric picture for the PEE in holography, which is consistent with the geometric picture in the no-island phases.
|
hep-th/9904061
|
Antonio Bassetto
|
A. Bassetto, R. Begliuomini and G. Nardelli
|
Discontinuous behavior of perturbative Yang-Mills theories in the limit
of dimensions D->2
|
DFPD 99/TH/13, RevTex, 15 pages, no figures
|
Phys.Rev. D59 (1999) 125005
|
10.1103/PhysRevD.59.125005
| null |
hep-th
| null |
We calculate in dimensions $D=2+\epsilon$ and in light-cone gauge (LCG) the
perturbative ${\cal O}(g^4)$ contribution to a rectangular Wilson loop in the
(t,x)-plane coming from diagrams with a self-energy correction in the vector
propagator. In the limit $\epsilon \to 0$ the result is finite, in spite of the
vanishing of the triple vector vertex in LCG, and provides the expected
agreement with the analogous calculation in Feynman gauge.
|
[
{
"created": "Thu, 8 Apr 1999 13:31:25 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Bassetto",
"A.",
""
],
[
"Begliuomini",
"R.",
""
],
[
"Nardelli",
"G.",
""
]
] |
We calculate in dimensions $D=2+\epsilon$ and in light-cone gauge (LCG) the perturbative ${\cal O}(g^4)$ contribution to a rectangular Wilson loop in the (t,x)-plane coming from diagrams with a self-energy correction in the vector propagator. In the limit $\epsilon \to 0$ the result is finite, in spite of the vanishing of the triple vector vertex in LCG, and provides the expected agreement with the analogous calculation in Feynman gauge.
|
1009.2093
|
Leonardo Senatore
|
Leonardo Senatore, and Matias Zaldarriaga
|
The Effective Field Theory of Multifield Inflation
|
62 pages, 1 figure; v2: JHEP published version, minor corrections,
comments and references added
| null |
10.1007/JHEP04(2012)024
| null |
hep-th astro-ph.CO hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We generalize the Effective Field Theory of Inflation to include additional
light scalar degrees of freedom that are in their vacuum at the time the modes
of interest are crossing the horizon. In order to make the scalars light in a
natural way we consider the case where they are the Goldstone bosons of a
global symmetry group or are partially protected by an approximate
supersymmetry. We write the most general Lagrangian that couples the scalar
mode associated to the breaking of time translation during inflation to the
additional light scalar fields. This Lagrangian is constrained by
diffeomorphism invariance and the additional symmetries that keep the new
scalars light. This Lagrangian describes the fluctuations around the time of
horizon crossing and it is supplemented with a general parameterization
describing how the additional fluctuating fields can affect cosmological
perturbations. We find that multifield inflation can reproduce the
non-Gaussianities that can be generated in single field inflation but can also
give rise to new kinds of non-Gaussianities. We find several new three-point
function shapes. We show that in multifield inflation it is possible to
naturally suppress the three-point function making the four-point function the
leading source of detectable non-Gaussianities. We find that under certain
circumstances, i.e. if specific shapes of non-Gaussianities are detected in the
data, one could distinguish between single and multifield inflation and
sometimes even among the various mechanisms that kept the additional fields
light.
|
[
{
"created": "Fri, 10 Sep 2010 20:10:23 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Jul 2012 17:18:54 GMT",
"version": "v2"
}
] |
2015-05-19
|
[
[
"Senatore",
"Leonardo",
""
],
[
"Zaldarriaga",
"Matias",
""
]
] |
We generalize the Effective Field Theory of Inflation to include additional light scalar degrees of freedom that are in their vacuum at the time the modes of interest are crossing the horizon. In order to make the scalars light in a natural way we consider the case where they are the Goldstone bosons of a global symmetry group or are partially protected by an approximate supersymmetry. We write the most general Lagrangian that couples the scalar mode associated to the breaking of time translation during inflation to the additional light scalar fields. This Lagrangian is constrained by diffeomorphism invariance and the additional symmetries that keep the new scalars light. This Lagrangian describes the fluctuations around the time of horizon crossing and it is supplemented with a general parameterization describing how the additional fluctuating fields can affect cosmological perturbations. We find that multifield inflation can reproduce the non-Gaussianities that can be generated in single field inflation but can also give rise to new kinds of non-Gaussianities. We find several new three-point function shapes. We show that in multifield inflation it is possible to naturally suppress the three-point function making the four-point function the leading source of detectable non-Gaussianities. We find that under certain circumstances, i.e. if specific shapes of non-Gaussianities are detected in the data, one could distinguish between single and multifield inflation and sometimes even among the various mechanisms that kept the additional fields light.
|
hep-th/0503222
|
Sang-Jin Sin
|
Sunggeun Lee and Sang-Jin Sin (Hanyang U.)
|
Toda systems in closed string tachyon condensation
|
20 pages, no figure
|
JHEP 0506 (2005) 083
|
10.1088/1126-6708/2005/06/083
| null |
hep-th
| null |
We consider $tt^*$ equations appearing in the study of localized tachyon
condensations. They are described by various Toda system when we consider the
condensation by the lowest tachyon corresponding to the monomial $xy$. The
tachyon potential is calculated as a solution to these equations. The Toda
system appearing in the deformation of $\C^2/\Z_n$ by $xy$ is identical to that
of $D_n$ singularity deformed by $x$. For $\C^3/\Z_n$ with $xyz$ deformation,
we find only generic non-simple form, similar to the case appearing in
$\C/\Z_5\to \C/\Z_3$ and we discuss the difficulties in these cases.
|
[
{
"created": "Tue, 29 Mar 2005 05:51:44 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Lee",
"Sunggeun",
"",
"Hanyang U."
],
[
"Sin",
"Sang-Jin",
"",
"Hanyang U."
]
] |
We consider $tt^*$ equations appearing in the study of localized tachyon condensations. They are described by various Toda system when we consider the condensation by the lowest tachyon corresponding to the monomial $xy$. The tachyon potential is calculated as a solution to these equations. The Toda system appearing in the deformation of $\C^2/\Z_n$ by $xy$ is identical to that of $D_n$ singularity deformed by $x$. For $\C^3/\Z_n$ with $xyz$ deformation, we find only generic non-simple form, similar to the case appearing in $\C/\Z_5\to \C/\Z_3$ and we discuss the difficulties in these cases.
|
1210.2497
|
Hayato Motohashi
|
Hayato Motohashi, Teruaki Suyama and Jun'ichi Yokoyama
|
Consequences of a stochastic approach to the conformal invariance of
inflationary correlators
|
18 pages; introduction improved, main result unchanged
|
Phys.Rev. D86 (2012) 123514
|
10.1103/PhysRevD.86.123514
|
RESCEU-43/12
|
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We provide a general formalism to calculate the infrared correlators of
multiple interacting scalar fields in the de Sitter space by means of the
stochastic approach. These scalar fields are treated as test fields and hence
our result is applicable to the models such as the curvaton scenario where the
fields that yield initially isocurvature modes do not contribute to the cosmic
energy density during inflationary expansion. The stochastic formalism combined
with the argument of conformal invariance of the correlators reflecting the de
Sitter isometries allows us to fix the form and amplitude of the three-point
functions completely and partially for the four-point functions in terms of
calculable quantities. It turns out that naive scaling argument employed in the
previous literature does not necessarily hold and we derive the necessary and
sufficient condition for the correlator to obey the naive scaling. We also find
that correlation functions can in principle exhibit more complicated structure
than argued in the literature.
|
[
{
"created": "Tue, 9 Oct 2012 05:39:57 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Oct 2012 08:13:07 GMT",
"version": "v2"
}
] |
2013-05-30
|
[
[
"Motohashi",
"Hayato",
""
],
[
"Suyama",
"Teruaki",
""
],
[
"Yokoyama",
"Jun'ichi",
""
]
] |
We provide a general formalism to calculate the infrared correlators of multiple interacting scalar fields in the de Sitter space by means of the stochastic approach. These scalar fields are treated as test fields and hence our result is applicable to the models such as the curvaton scenario where the fields that yield initially isocurvature modes do not contribute to the cosmic energy density during inflationary expansion. The stochastic formalism combined with the argument of conformal invariance of the correlators reflecting the de Sitter isometries allows us to fix the form and amplitude of the three-point functions completely and partially for the four-point functions in terms of calculable quantities. It turns out that naive scaling argument employed in the previous literature does not necessarily hold and we derive the necessary and sufficient condition for the correlator to obey the naive scaling. We also find that correlation functions can in principle exhibit more complicated structure than argued in the literature.
|
hep-th/9303093
|
Ivan Kostov
|
J.M. Daul, V. Kazakov and I. Kostov
|
Rational Theories of 2D Gravity from the Two-Matrix Model
|
24 pages, preprint CERN-TH.6834/93
|
Nucl.Phys. B409 (1993) 311-338
|
10.1016/0550-3213(93)90582-A
| null |
hep-th
| null |
The correspondence claimed by M. Douglas, between the multicritical regimes
of the two-matrix model and 2D gravity coupled to (p,q) rational matter field,
is worked out explicitly. We found the minimal (p,q) multicritical potentials
U(X) and V(Y) which are polynomials of degree p and q, correspondingly. The
loop averages W(X) and \tilde W(Y) are shown to satisfy the Heisenberg
relations {W,X} =1 and {\tilde W,Y}=1 and essentially coincide with the
canonical momenta P and Q. The operators X and Y create the two kinds of
boundaries in the (p,q) model related by the duality (p,q) - (q,p). Finally, we
present a closed expression for the two two-loop correlators and interpret its
scaling limit.
|
[
{
"created": "Tue, 16 Mar 1993 17:32:01 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Apr 1993 22:46:28 GMT",
"version": "v2"
}
] |
2009-10-22
|
[
[
"Daul",
"J. M.",
""
],
[
"Kazakov",
"V.",
""
],
[
"Kostov",
"I.",
""
]
] |
The correspondence claimed by M. Douglas, between the multicritical regimes of the two-matrix model and 2D gravity coupled to (p,q) rational matter field, is worked out explicitly. We found the minimal (p,q) multicritical potentials U(X) and V(Y) which are polynomials of degree p and q, correspondingly. The loop averages W(X) and \tilde W(Y) are shown to satisfy the Heisenberg relations {W,X} =1 and {\tilde W,Y}=1 and essentially coincide with the canonical momenta P and Q. The operators X and Y create the two kinds of boundaries in the (p,q) model related by the duality (p,q) - (q,p). Finally, we present a closed expression for the two two-loop correlators and interpret its scaling limit.
|
1411.4309
|
David Kubiznak
|
Robie A. Hennigar, David Kubiznak, Robert B. Mann
|
Super-Entropic Black Holes
|
5 pages
|
Phys. Rev. Lett. 115, 031101 (2015)
|
10.1103/PhysRevLett.115.031101
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct a new class of rotating AdS black hole solutions with
non-compact event horizons of finite area in any dimension and study their
thermodynamics. In four dimensions these black holes are solutions to gauged
supergravity. We find that their entropy exceeds the maximum implied from the
conjectured Reverse Isoperimetric Inequality, which states that for a given
thermodynamic volume, the black hole entropy is maximized for
Schwarzschild-AdS. We use this result to suggest more stringent conditions
under which this conjecture may hold.
|
[
{
"created": "Sun, 16 Nov 2014 21:45:05 GMT",
"version": "v1"
}
] |
2015-07-22
|
[
[
"Hennigar",
"Robie A.",
""
],
[
"Kubiznak",
"David",
""
],
[
"Mann",
"Robert B.",
""
]
] |
We construct a new class of rotating AdS black hole solutions with non-compact event horizons of finite area in any dimension and study their thermodynamics. In four dimensions these black holes are solutions to gauged supergravity. We find that their entropy exceeds the maximum implied from the conjectured Reverse Isoperimetric Inequality, which states that for a given thermodynamic volume, the black hole entropy is maximized for Schwarzschild-AdS. We use this result to suggest more stringent conditions under which this conjecture may hold.
|
hep-th/9411081
|
Alejandro Rivero
|
Luis J Boya, Alejandro Rivero (Universidad de Zaragoza)
|
Renormalization in 1D Quantum Mechanics: contact interactions
|
Four figures not included (but two of them sketched)
| null | null |
DFTUZ 9413
|
hep-th
| null |
We build a toy model of the Wilson-Kogut renormalization group in one
dimensional Quantum Mechanics. With it, we show how the RG flow in the space of
1-D S matrices of finite range defines, as renormalized interactions, the known
four parametric set of contact interactions, thus providing a suitable
framework for its study.
|
[
{
"created": "Fri, 11 Nov 1994 21:17:33 GMT",
"version": "v1"
}
] |
2009-09-25
|
[
[
"Boya",
"Luis J",
"",
"Universidad de Zaragoza"
],
[
"Rivero",
"Alejandro",
"",
"Universidad de Zaragoza"
]
] |
We build a toy model of the Wilson-Kogut renormalization group in one dimensional Quantum Mechanics. With it, we show how the RG flow in the space of 1-D S matrices of finite range defines, as renormalized interactions, the known four parametric set of contact interactions, thus providing a suitable framework for its study.
|
1805.05882
|
Gabriele Spada
|
Marco Serone, Gabriele Spada, Giovanni Villadoro
|
$\lambda \phi^4$ Theory I: The Symmetric Phase Beyond NNNNNNNNLO
|
v1: 36 pages, 9 figures, 10 tables; v2: computed one more
perturbative coefficient, minor improvements, matches JHEP version
| null |
10.1007/JHEP08(2018)148
| null |
hep-th cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Perturbation theory of a large class of scalar field theories in $d<4$ can be
shown to be Borel resummable using arguments based on Lefschetz thimbles. As an
example we study in detail the $\lambda \phi^4$ theory in two dimensions in the
$Z_2$ symmetric phase. We extend the results for the perturbative expansion of
several quantities up to N$^8$LO and show how the behavior of the theory at
strong coupling can be recovered successfully using known resummation
techniques. In particular, we compute the vacuum energy and the mass gap for
values of the coupling up to the critical point, where the theory becomes
gapless and lies in the same universality class of the 2d Ising model. Several
properties of the critical point are determined and agree with known exact
expressions. The results are in very good agreement (and with comparable
precision) with those obtained by other non-perturbative approaches, such as
lattice simulations and Hamiltonian truncation methods.
|
[
{
"created": "Tue, 15 May 2018 16:16:39 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Aug 2018 09:29:50 GMT",
"version": "v2"
}
] |
2018-09-26
|
[
[
"Serone",
"Marco",
""
],
[
"Spada",
"Gabriele",
""
],
[
"Villadoro",
"Giovanni",
""
]
] |
Perturbation theory of a large class of scalar field theories in $d<4$ can be shown to be Borel resummable using arguments based on Lefschetz thimbles. As an example we study in detail the $\lambda \phi^4$ theory in two dimensions in the $Z_2$ symmetric phase. We extend the results for the perturbative expansion of several quantities up to N$^8$LO and show how the behavior of the theory at strong coupling can be recovered successfully using known resummation techniques. In particular, we compute the vacuum energy and the mass gap for values of the coupling up to the critical point, where the theory becomes gapless and lies in the same universality class of the 2d Ising model. Several properties of the critical point are determined and agree with known exact expressions. The results are in very good agreement (and with comparable precision) with those obtained by other non-perturbative approaches, such as lattice simulations and Hamiltonian truncation methods.
|
hep-th/0202125
|
David Tong
|
Sergei Gukov and David Tong
|
D-Brane Probes of G_2 Holonomy Manifolds
|
4 pages, Revtex4
|
Phys.Rev. D66 (2002) 087901
|
10.1103/PhysRevD.66.087901
| null |
hep-th
| null |
We describe how mirror symmetry of three-dimensional N=1 supersymmetric gauge
theories can be used to determine the theory on the world-volume of a D2-brane
probe of manifolds with G_2 holonomy. This is a much shortened companion paper
to hep-th/0202126.
|
[
{
"created": "Tue, 19 Feb 2002 21:11:28 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Gukov",
"Sergei",
""
],
[
"Tong",
"David",
""
]
] |
We describe how mirror symmetry of three-dimensional N=1 supersymmetric gauge theories can be used to determine the theory on the world-volume of a D2-brane probe of manifolds with G_2 holonomy. This is a much shortened companion paper to hep-th/0202126.
|
1707.08973
|
Moshe Rozali
|
Moshe Rozali, Evyatar Sabag and Amos Yarom
|
Holographic Turbulence in a Large Number of Dimensions
|
36 pages, 22 figures
| null |
10.1007/JHEP04(2018)065
| null |
hep-th gr-qc nlin.CD physics.flu-dyn
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider relativistic hydrodynamics in the limit where the number of
spatial dimensions is very large. We show that under certain restrictions, the
resulting equations of motion simplify significantly. Holographic theories in a
large number of dimensions satisfy the aforementioned restrictions and their
dynamics are captured by hydrodynamics with a naturally truncated derivative
expansion. Using analytic and numerical techniques we analyze two and
three-dimensional turbulent flow of such fluids in various regimes and its
relation to geometric data.
|
[
{
"created": "Thu, 27 Jul 2017 18:00:11 GMT",
"version": "v1"
}
] |
2018-05-09
|
[
[
"Rozali",
"Moshe",
""
],
[
"Sabag",
"Evyatar",
""
],
[
"Yarom",
"Amos",
""
]
] |
We consider relativistic hydrodynamics in the limit where the number of spatial dimensions is very large. We show that under certain restrictions, the resulting equations of motion simplify significantly. Holographic theories in a large number of dimensions satisfy the aforementioned restrictions and their dynamics are captured by hydrodynamics with a naturally truncated derivative expansion. Using analytic and numerical techniques we analyze two and three-dimensional turbulent flow of such fluids in various regimes and its relation to geometric data.
|
hep-th/9303133
| null |
Alexander Sevrin, Kris Thielemans and Walter Troost
|
Induced and Effective Gravity Theories in D=2
|
58 pages, latex, LBL-33738, UCB-PTH-93/06, KUL-TF-93/09
|
Nucl.Phys. B407 (1993) 459-512
|
10.1016/0550-3213(93)90067-Y
| null |
hep-th
| null |
As a preparation for the study of {\it arbitrary} extensions of $d=2$ gravity
we present a detailed investigation of $SO(N)$ supergravity. By gauging a
chiral, nilpotent subgroup of the $OSp(N|2)$ Wess-Zumino-Witten model we obtain
an all order expression for the effective action. Reality of the coupling
constant imposes the usual restrictions on $c$ for $N=0$ and 1. No such
restrictions appear for $N\geq 2$. For $N=2$, 3 and 4, no renormalizations of
the coupling constant beyond one loop occur. These results are related to
non-renormalization theorems for theories with extended supersymmetries.
Arbitrary (super)extensions of $d=2$ gravity are then analyzed. The induced
theory is represented by a WZW model for which a chiral, solvable group is
gauged. From this, we obtain the effective action. All order expressions for
both the coupling constant renormalization and the wavefunction renormalization
are given. From this we classify all extensions of $d=2$ gravity for which the
coupling constant gets at most a one loop renormalization. As an application of
the general strategy, $N=4$ theories based on $D(2,1,\a)$ and $SU(1,1|2)$, all
$WA$ gravities and the $N=2$ $W_n$ models are treated in some detail.
|
[
{
"created": "Wed, 24 Mar 1993 11:33:29 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Sevrin",
"Alexander",
""
],
[
"Thielemans",
"Kris",
""
],
[
"Troost",
"Walter",
""
]
] |
As a preparation for the study of {\it arbitrary} extensions of $d=2$ gravity we present a detailed investigation of $SO(N)$ supergravity. By gauging a chiral, nilpotent subgroup of the $OSp(N|2)$ Wess-Zumino-Witten model we obtain an all order expression for the effective action. Reality of the coupling constant imposes the usual restrictions on $c$ for $N=0$ and 1. No such restrictions appear for $N\geq 2$. For $N=2$, 3 and 4, no renormalizations of the coupling constant beyond one loop occur. These results are related to non-renormalization theorems for theories with extended supersymmetries. Arbitrary (super)extensions of $d=2$ gravity are then analyzed. The induced theory is represented by a WZW model for which a chiral, solvable group is gauged. From this, we obtain the effective action. All order expressions for both the coupling constant renormalization and the wavefunction renormalization are given. From this we classify all extensions of $d=2$ gravity for which the coupling constant gets at most a one loop renormalization. As an application of the general strategy, $N=4$ theories based on $D(2,1,\a)$ and $SU(1,1|2)$, all $WA$ gravities and the $N=2$ $W_n$ models are treated in some detail.
|
2101.07615
|
Ulrich Ellwanger
|
Ulrich Ellwanger
|
Weyl Consistency Conditions from a local Wilsonian Cutoff
|
22 pages, Sections 3 and 4 re-written
| null |
10.1140/epjc/s10052-021-09215-4
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
A local UV cutoff $\Lambda(x)$ transforming under Weyl rescalings allows to
construct Weyl invariant kinetic terms for scalar fields including Wilsonian
cutoff functions. First we consider scalar fields in curved space-time with
local bare couplings of any canonical dimension, and anomalous dimensions which
describe their dependence on the UV cutoff. The local component of the UV
cutoff plays the role of an additional coupling, albeit with a trivial constant
$\beta$ function. This approach allows to derive Weyl consistency conditions
for the corresponding anomalous dimensions which assume the form of an exact
gradient flow. For renormalizable theories the Weyl consistency conditions are
initially of the form of an approximate gradient flow for the $\beta$
functions, and we derive conditions under which it becomes the form of an exact
gradient flow.
|
[
{
"created": "Tue, 19 Jan 2021 13:30:50 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Jan 2021 14:53:45 GMT",
"version": "v2"
},
{
"created": "Tue, 9 Mar 2021 10:51:58 GMT",
"version": "v3"
},
{
"created": "Wed, 7 Apr 2021 10:35:05 GMT",
"version": "v4"
}
] |
2021-06-02
|
[
[
"Ellwanger",
"Ulrich",
""
]
] |
A local UV cutoff $\Lambda(x)$ transforming under Weyl rescalings allows to construct Weyl invariant kinetic terms for scalar fields including Wilsonian cutoff functions. First we consider scalar fields in curved space-time with local bare couplings of any canonical dimension, and anomalous dimensions which describe their dependence on the UV cutoff. The local component of the UV cutoff plays the role of an additional coupling, albeit with a trivial constant $\beta$ function. This approach allows to derive Weyl consistency conditions for the corresponding anomalous dimensions which assume the form of an exact gradient flow. For renormalizable theories the Weyl consistency conditions are initially of the form of an approximate gradient flow for the $\beta$ functions, and we derive conditions under which it becomes the form of an exact gradient flow.
|
1004.4725
|
Liang Kong
|
Alexei Davydov, Liang Kong, Ingo Runkel
|
Invertible defects and isomorphisms of rational CFTs
|
20 pages, 17 figures.
|
Adv. Theor. Math. Phys. Volume 15, Number 1 (2011), 43-69
|
10.4310/ATMP.2011.v15.n1.a2
| null |
hep-th math.CT math.QA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Given two two-dimensional conformal field theories, a domain wall -- or
defect line -- between them is called invertible if there is another defect
with which it fuses to the identity defect. A defect is called topological if
it is transparent to the stress tensor. A conformal isomorphism between the two
CFTs is a linear isomorphism between their state spaces which preserves the
stress tensor and is compatible with the operator product expansion. We show
that for rational CFTs there is a one-to-one correspondence between invertible
topological defects and conformal isomorphisms if both preserve the rational
symmetry. This correspondence is compatible with composition.
|
[
{
"created": "Tue, 27 Apr 2010 06:51:06 GMT",
"version": "v1"
}
] |
2013-11-28
|
[
[
"Davydov",
"Alexei",
""
],
[
"Kong",
"Liang",
""
],
[
"Runkel",
"Ingo",
""
]
] |
Given two two-dimensional conformal field theories, a domain wall -- or defect line -- between them is called invertible if there is another defect with which it fuses to the identity defect. A defect is called topological if it is transparent to the stress tensor. A conformal isomorphism between the two CFTs is a linear isomorphism between their state spaces which preserves the stress tensor and is compatible with the operator product expansion. We show that for rational CFTs there is a one-to-one correspondence between invertible topological defects and conformal isomorphisms if both preserve the rational symmetry. This correspondence is compatible with composition.
|
1605.04620
|
Mohammad H. Ansari
|
Mohammad H Ansari
|
A consistent flow of entropy
|
Contribution to Special issue in Fortschritte der Physik for the
Frontiers of Quantum and Mesoscopic Thermodynamics Conference , 7 pages, 2
figures
| null | null | null |
hep-th cond-mat.mes-hall gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A common approach to evaluate entropy in quantum systems is to solve a
master-Bloch equation to determine density matrix and substitute it in entropy
definition. However, this method has been recently understood to lack many
energy correlators. The new correlators make entropy evaluation to be different
from the substitution method described above. The reason for such complexity
lies in the nonlinearity of entropy. In this paper we present a pedagogical
approach to evaluate the new correlators and explain their contribution in the
analysis. We show that the inherent nonlinearity in entropy makes the second
law of thermodynamics to carry new terms associated to the new correlators. Our
results show important new remarks on quantum black holes. Our formalism
reveals that the notion of degeneracy of states at the event horizon makes an
indispensable deviation from black hole entropy in the leading order.
|
[
{
"created": "Mon, 16 May 2016 00:45:23 GMT",
"version": "v1"
}
] |
2016-05-17
|
[
[
"Ansari",
"Mohammad H",
""
]
] |
A common approach to evaluate entropy in quantum systems is to solve a master-Bloch equation to determine density matrix and substitute it in entropy definition. However, this method has been recently understood to lack many energy correlators. The new correlators make entropy evaluation to be different from the substitution method described above. The reason for such complexity lies in the nonlinearity of entropy. In this paper we present a pedagogical approach to evaluate the new correlators and explain their contribution in the analysis. We show that the inherent nonlinearity in entropy makes the second law of thermodynamics to carry new terms associated to the new correlators. Our results show important new remarks on quantum black holes. Our formalism reveals that the notion of degeneracy of states at the event horizon makes an indispensable deviation from black hole entropy in the leading order.
|
1608.07864
|
Kevin Iga
|
S. James Gates and Tristan H\"ubsch and Kevin Iga and Stefan
Mendez-Diez
|
N=4 and N=8 SUSY Quantum Mechanics and Klein's Vierergruppe
| null | null | null | null |
hep-th math-ph math.GR math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Sets of signed permutation matrices satisfying the GR(4,4) algebra are shown
to be, up to sign, left cosets of Klein's famous Vierergruppe. In this way we
verify the count done by computer in 2012, and set it in a more significant
mathematical context. A similar analysis works for GR(1,1), GR(2,2) and
GR(8,8).
|
[
{
"created": "Sun, 28 Aug 2016 22:55:25 GMT",
"version": "v1"
}
] |
2016-08-30
|
[
[
"Gates",
"S. James",
""
],
[
"Hübsch",
"Tristan",
""
],
[
"Iga",
"Kevin",
""
],
[
"Mendez-Diez",
"Stefan",
""
]
] |
Sets of signed permutation matrices satisfying the GR(4,4) algebra are shown to be, up to sign, left cosets of Klein's famous Vierergruppe. In this way we verify the count done by computer in 2012, and set it in a more significant mathematical context. A similar analysis works for GR(1,1), GR(2,2) and GR(8,8).
|
2103.08231
|
Mirian Tsulaia
|
I.L. Buchbinder, V.A. Krykhtin, Mirian Tsulaia, Dorin Weissman
|
Cubic Vertices for N=1 Supersymmetric Massless Higher Spin Fields in
Various Dimensions
|
31 pages, LaTeX
|
Nucl. Phys. B 967 (2021) 115427
|
10.1016/j.nuclphysb.2021.115427
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using the BRST approach to higher spin field theories we develop a generic
technique for constructing the cubic interaction vertices for N=1
supersymmetric massless higher spin fields on four, six and ten dimensional
flat backgrounds. Such an approach allows formulation of the equations for
cubic vertices including bosonic and fermionic higher spin fields, and the
problem of finding the vertices is reduced to finding the consistent solutions
to these equations. As a realization of this procedure, we present the
particular solutions for the vertices where the fields obey some off-shell
constraints. It is shown that the supersymmetry imposes additional constraints
on the vertices and singles out a particular subclass of the solutions. As a
concrete application of the generic scheme, we consider supersymmetric
Yang-Mills-like systems in four, six and ten dimensions where the higher spin
fields transform under some internal symmetry group, as well as
supergravity-like systems in the same dimensions.
|
[
{
"created": "Mon, 15 Mar 2021 09:28:56 GMT",
"version": "v1"
}
] |
2021-05-12
|
[
[
"Buchbinder",
"I. L.",
""
],
[
"Krykhtin",
"V. A.",
""
],
[
"Tsulaia",
"Mirian",
""
],
[
"Weissman",
"Dorin",
""
]
] |
Using the BRST approach to higher spin field theories we develop a generic technique for constructing the cubic interaction vertices for N=1 supersymmetric massless higher spin fields on four, six and ten dimensional flat backgrounds. Such an approach allows formulation of the equations for cubic vertices including bosonic and fermionic higher spin fields, and the problem of finding the vertices is reduced to finding the consistent solutions to these equations. As a realization of this procedure, we present the particular solutions for the vertices where the fields obey some off-shell constraints. It is shown that the supersymmetry imposes additional constraints on the vertices and singles out a particular subclass of the solutions. As a concrete application of the generic scheme, we consider supersymmetric Yang-Mills-like systems in four, six and ten dimensions where the higher spin fields transform under some internal symmetry group, as well as supergravity-like systems in the same dimensions.
|
hep-th/9712122
|
Massimo Giovannini
|
Massimo Giovannini (DAMTP, University of Cambridge, UK)
|
Regular Cosmological Examples of Tree-Level Dilaton-Driven Models
|
30 pages in LaTex style, 6 Encapsulated Postscript figures.A new
section with a regular (and parity invariant) class of solutions has been
included. Accepted for publication in Physical Review D
|
Phys.Rev. D57 (1998) 7223-7234
|
10.1103/PhysRevD.57.7223
|
DAMTP 97-132
|
hep-th
| null |
We construct some examples of analytic solutions of the low energy (i.e.
tree-level) string cosmological effective action. We work with the ``minimal''
field content (i.e. graviton and dilaton) in the absence of any dilaton
potential. Provided the metric is sufficiently inhomogeneous we find solutions
whose curvature invariants are bounded and everywhere defined in time and
space. The dilaton coupling and its associated energy density are regular and
homogeneous. A phase of growing (and non-singular) dilaton coupling compatible
with the regularity of the curvature invariants without the addition of higher
curvature (or higher genus) corrections to the tree-level effective action. We
discuss the symmetries of the obtained solutions.
|
[
{
"created": "Fri, 12 Dec 1997 12:17:12 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Mar 1998 17:29:15 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Giovannini",
"Massimo",
"",
"DAMTP, University of Cambridge, UK"
]
] |
We construct some examples of analytic solutions of the low energy (i.e. tree-level) string cosmological effective action. We work with the ``minimal'' field content (i.e. graviton and dilaton) in the absence of any dilaton potential. Provided the metric is sufficiently inhomogeneous we find solutions whose curvature invariants are bounded and everywhere defined in time and space. The dilaton coupling and its associated energy density are regular and homogeneous. A phase of growing (and non-singular) dilaton coupling compatible with the regularity of the curvature invariants without the addition of higher curvature (or higher genus) corrections to the tree-level effective action. We discuss the symmetries of the obtained solutions.
|
hep-th/0702139
|
Sergei V. Ketov
|
Masao Iihoshi, Sergei V. Ketov and Atsushi Morishita
|
Conformally flat FRW metrics
|
19 pages; LaTeX; no figures; misprints corrected, a few references
and short notes added
|
Prog.Theor.Phys.118:475-489,2007
|
10.1143/PTP.118.475
| null |
hep-th gr-qc
| null |
We find a new family of non-separable coordinate transformations bringing the
FRW metrics into the manifestly conformally flat form. Our results are simple
and complete, while our derivation is quite explicit. We also calculate all the
FRW curvatures, including the Weyl tensor.
|
[
{
"created": "Sat, 17 Feb 2007 10:09:55 GMT",
"version": "v1"
},
{
"created": "Sat, 14 Apr 2007 06:17:46 GMT",
"version": "v2"
},
{
"created": "Sat, 14 Jul 2007 04:44:48 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Iihoshi",
"Masao",
""
],
[
"Ketov",
"Sergei V.",
""
],
[
"Morishita",
"Atsushi",
""
]
] |
We find a new family of non-separable coordinate transformations bringing the FRW metrics into the manifestly conformally flat form. Our results are simple and complete, while our derivation is quite explicit. We also calculate all the FRW curvatures, including the Weyl tensor.
|
hep-th/0003251
|
Amanda W. Peet
|
Amanda W. Peet
|
Excision of `repulson' singularities: a spacetime result and its gauge
theory analogue
|
8 pages LaTeX, 2 figures. PASCOS-99 proceedings contribution
| null |
10.1142/9789812792433_0009
|
NSF-ITP-00-18
|
hep-th gr-qc
| null |
We discuss spacetime singularity resolution in the context of the
gravity/gauge correspondence, for brane systems which give rise to gauge
theories with eight supercharges and no hypermultiplets. The discussion is
aimed at non-experts. Writeup of talk on hep-th/9911161 with C.V.Johnson and
J.Polchinski, given in various forms at: PASCOS-99, Aspen winter conference
`Way Beyond the Standard Models', Banff CIAR Gravity+Cosmology Programme
Meeting.
|
[
{
"created": "Mon, 27 Mar 2000 21:47:29 GMT",
"version": "v1"
}
] |
2016-11-03
|
[
[
"Peet",
"Amanda W.",
""
]
] |
We discuss spacetime singularity resolution in the context of the gravity/gauge correspondence, for brane systems which give rise to gauge theories with eight supercharges and no hypermultiplets. The discussion is aimed at non-experts. Writeup of talk on hep-th/9911161 with C.V.Johnson and J.Polchinski, given in various forms at: PASCOS-99, Aspen winter conference `Way Beyond the Standard Models', Banff CIAR Gravity+Cosmology Programme Meeting.
|
hep-th/9410091
|
Dmitry Ivanov
|
D. Ivanov
|
Knizhnik-Zamolodchikov-Bernard equations on Riemann surfaces
|
23 pages
|
Int.J.Mod.Phys. A10 (1995) 2507
|
10.1142/S0217751X95001200
| null |
hep-th math.QA
| null |
Knizhnik-Zamolodchikov-Bernard equations for twisted conformal blocks on
compact Riemann surfaces with marked points are written explicitly in a general
projective structure in terms of correlation functions in the theory of twisted
b-c systems. It is checked that on the moduli space the equations provide a
flat connection with the spectral parameter.
|
[
{
"created": "Thu, 13 Oct 1994 08:25:47 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Dec 1994 20:22:03 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Ivanov",
"D.",
""
]
] |
Knizhnik-Zamolodchikov-Bernard equations for twisted conformal blocks on compact Riemann surfaces with marked points are written explicitly in a general projective structure in terms of correlation functions in the theory of twisted b-c systems. It is checked that on the moduli space the equations provide a flat connection with the spectral parameter.
|
1607.01286
|
Davood Allahbakhshi
|
Davood Allahbakhshi
|
Do Horizons Exist?
|
21 pages, 3 figures
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Gravitational effective action is calculated to second order in transverse
momentums for a planar asymptotically anti-de Sitter geometry by gauge fixing
method. The first order bulk energy-momentum tensor is calculated. The zeroth
order equations of motion are solved and a new black brane-like solution is
found. We show that once the contribution of matter quantum modes is taken into
account, the horizon of the black brane disappears. This is also correct for
BTZ black hole. Our result strengthens the black hole non-existence proposal by
Hawking.
|
[
{
"created": "Tue, 5 Jul 2016 14:55:51 GMT",
"version": "v1"
}
] |
2016-07-06
|
[
[
"Allahbakhshi",
"Davood",
""
]
] |
Gravitational effective action is calculated to second order in transverse momentums for a planar asymptotically anti-de Sitter geometry by gauge fixing method. The first order bulk energy-momentum tensor is calculated. The zeroth order equations of motion are solved and a new black brane-like solution is found. We show that once the contribution of matter quantum modes is taken into account, the horizon of the black brane disappears. This is also correct for BTZ black hole. Our result strengthens the black hole non-existence proposal by Hawking.
|
hep-th/9611068
|
Valeri Dvoeglazov
|
Valeri V. Dvoeglazov (Universidad Autonoma de Zacatecas)
|
Questions in the Theory of the (1,0)+(0,1) Quantized Fields
|
ReVTeX file, 21pp., no figures
|
Int.J.Theor.Phys.37:1915-1944,1998
|
10.1023/A:1026665230089
|
EFUAZ FT-96-31
|
hep-th
| null |
We find a mapping between antisymmetric tensor matter fields and the
Weinberg's 2(2j+1)- component "bispinor" fields. Equations which describe the
j=1 antisymmetric tensor field coincide with the Hammer-Tucker equations
entirely and with the Weinberg ones within a subsidiary condition, the
Klein-Gordon equation. The new Lagrangian for the Weinberg theory is proposed
which is scalar and Hermitian. It is built on the basis of the concept of the
`Weinberg doubles'. Origins of a contradiction between the classical theory,
the Weinberg theorem B-A=\lambda for quantum relativistic fields and the
claimed `longitudity' of the antisymmetric tensor field (transformed on the
(1,0)\oplus (0,1) Lorentz group representation) after quantization are
clarified. Analogs of the j=1/2 Feynman-Dyson propagator are presented in the
framework of the j=1 Weinberg theory. It is then shown that under the definite
choice of field functions and initial and boundary conditions the massless j=1
Weinberg-Tucker-Hammer equations contain all information that the Maxwell
equations for electromagnetic field have. Thus, the former appear to be of use
in describing some physical processes for which that could be necessitated or
be convenient.
|
[
{
"created": "Mon, 11 Nov 1996 05:49:29 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Oct 1997 21:04:03 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Dvoeglazov",
"Valeri V.",
"",
"Universidad Autonoma de Zacatecas"
]
] |
We find a mapping between antisymmetric tensor matter fields and the Weinberg's 2(2j+1)- component "bispinor" fields. Equations which describe the j=1 antisymmetric tensor field coincide with the Hammer-Tucker equations entirely and with the Weinberg ones within a subsidiary condition, the Klein-Gordon equation. The new Lagrangian for the Weinberg theory is proposed which is scalar and Hermitian. It is built on the basis of the concept of the `Weinberg doubles'. Origins of a contradiction between the classical theory, the Weinberg theorem B-A=\lambda for quantum relativistic fields and the claimed `longitudity' of the antisymmetric tensor field (transformed on the (1,0)\oplus (0,1) Lorentz group representation) after quantization are clarified. Analogs of the j=1/2 Feynman-Dyson propagator are presented in the framework of the j=1 Weinberg theory. It is then shown that under the definite choice of field functions and initial and boundary conditions the massless j=1 Weinberg-Tucker-Hammer equations contain all information that the Maxwell equations for electromagnetic field have. Thus, the former appear to be of use in describing some physical processes for which that could be necessitated or be convenient.
|
2001.01649
|
Evgeny Ivanov
|
I.L. Buchbinder, E.A. Ivanov, V.A. Ivanovskiy
|
Superfield realization of hidden $R$-symmetry in extended supersymmetric
gauge theories and its applications
|
0 + 27 pages, new subsection 2.1 and further clarifying comments
added, typos corrected; published version
| null |
10.1007/JHEP04(2020)126
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present the explicit superfield realizations of the hidden $SU(4)$ and
$O(5)$ $R$-symmetries in $4D, {\cal N}=4$ and $5D, {\cal N}=2$ supersymmetric
Yang-Mills theories in the harmonic superspace approach. The $R$-symmetry
transformations are constructed and their algebraic structure is studied. It is
shown that such transformations are consistent with both manifest and hidden
supersymmetry transformations. These symmetries can serve as an alternative
tool for constructing the relevant complete low-energy superfield effective
actions determined earlier from the hidden supersymmetry considerations.
|
[
{
"created": "Mon, 6 Jan 2020 16:26:14 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Apr 2020 18:33:56 GMT",
"version": "v2"
}
] |
2020-05-20
|
[
[
"Buchbinder",
"I. L.",
""
],
[
"Ivanov",
"E. A.",
""
],
[
"Ivanovskiy",
"V. A.",
""
]
] |
We present the explicit superfield realizations of the hidden $SU(4)$ and $O(5)$ $R$-symmetries in $4D, {\cal N}=4$ and $5D, {\cal N}=2$ supersymmetric Yang-Mills theories in the harmonic superspace approach. The $R$-symmetry transformations are constructed and their algebraic structure is studied. It is shown that such transformations are consistent with both manifest and hidden supersymmetry transformations. These symmetries can serve as an alternative tool for constructing the relevant complete low-energy superfield effective actions determined earlier from the hidden supersymmetry considerations.
|
0710.1524
|
David Dudal
|
D. Dudal, N. Vandersickel, H. Verschelde, J.A. Gracey, M.A.L. Capri,
V.E.R. Lemes, S.P. Sorella, R.F. Sobreiro
|
Gauge invariant nonlocal mass operator in YM theories
|
Talk given at 9th Workshop on Non-Perturbative Quantum
Chromodynamics, Paris, France, 4-8 Jun 2007
|
ECONFC0706044:26,2007
| null |
LTH-768
|
hep-th
| null |
We briefly describe the construction of a renormalizable gauge model based on
the nonlocal gauge invariant mass operator F1/D^2F. We also take a look at the
unitarity of the resulting model.
|
[
{
"created": "Mon, 8 Oct 2007 11:59:43 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Dudal",
"D.",
""
],
[
"Vandersickel",
"N.",
""
],
[
"Verschelde",
"H.",
""
],
[
"Gracey",
"J. A.",
""
],
[
"Capri",
"M. A. L.",
""
],
[
"Lemes",
"V. E. R.",
""
],
[
"Sorella",
"S. P.",
""
],
[
"Sobreiro",
"R. F.",
""
]
] |
We briefly describe the construction of a renormalizable gauge model based on the nonlocal gauge invariant mass operator F1/D^2F. We also take a look at the unitarity of the resulting model.
|
hep-th/9211082
| null |
A. Mikovic
|
Two-dimensional dilaton gravity in a unitary gauge
|
12 pages, LaTex file, Imperial-TP/92-93/8 and QMW/PH/92/16
|
Phys.Lett.B304:70-76,1993
|
10.1016/0370-2693(93)91402-9
| null |
hep-th gr-qc
| null |
Reduced phase space formulation of CGHS model of 2d dilaton gravity is
studied in en extrinsic time gauge. The corresponding Hamiltonian can be
promoted into a Hermitian operator acting in the physical Hilbert space,
implying a unitary evolution for the system. Consequences for the black hole
physics are discussed. In particular, this manifestly unitary theory rules out
the Hawking scenario for the endpoint of the black hole evaporation process.
|
[
{
"created": "Wed, 18 Nov 1992 14:23:00 GMT",
"version": "v1"
}
] |
2009-01-16
|
[
[
"Mikovic",
"A.",
""
]
] |
Reduced phase space formulation of CGHS model of 2d dilaton gravity is studied in en extrinsic time gauge. The corresponding Hamiltonian can be promoted into a Hermitian operator acting in the physical Hilbert space, implying a unitary evolution for the system. Consequences for the black hole physics are discussed. In particular, this manifestly unitary theory rules out the Hawking scenario for the endpoint of the black hole evaporation process.
|
hep-th/0404170
|
Sushil Srivastava
|
S.K.Srivastava
|
Dark Energy and dark matter of the universe from one-loop
renormalization of riccion
|
55 pages
| null | null | null |
hep-th astro-ph gr-qc
| null |
Here, creation of the universe is obtained only from gravity sector. The
dynamical universe begins with two basic ingredients (i) vacuum energy, also
called dark energy (as vacuum energy is not observed) and (ii) background
radiation. These two are obtained through one-loop renormalization of riccion.
Solutions of renormalization group equations yield initial value of vaccum
energy density $\rho_{\Lambda_{\rm ew}} = 10^6$ GeV^4 and show a phase
transition at the electroweak scale $M_{\rm ew}$. As a result of phase
transition,energy is released (in the form of background radiation) heating the
universe upto temperature $T_{\rm ew} = 78.5$ GeV $= 9.1 \times 10^{14}$ K
initially. In the proposed cosmology, it is found that not only current
universe expands with acceleration, but it undergoes accelerated expansion from
the beginning itself.It is demonstrated that dark energy decays to dark matter
and the ratio of dark matter density and dark energy density remains less than
unity upto a long time in future also, providing a solution to $cosmic$
$coincidence$ $problem$.Future course of the universe is also discussed here.
It is shown how entropy of the universe grows upto 10$^{87}$ in the present
universe. Moreover, particle creation, primordial nucleosynthesis and structure
formation in the late universe is discussed for the proposed
model.Investigations, here, present a fresh look to cosmology consistent with
current observational evidences as well as provide solution to some important
problems.
|
[
{
"created": "Thu, 22 Apr 2004 13:29:28 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Aug 2004 11:41:43 GMT",
"version": "v2"
},
{
"created": "Thu, 17 Feb 2005 09:48:10 GMT",
"version": "v3"
},
{
"created": "Thu, 21 Jul 2005 08:26:12 GMT",
"version": "v4"
},
{
"created": "Wed, 19 Oct 2005 08:57:49 GMT",
"version": "v5"
}
] |
2007-05-23
|
[
[
"Srivastava",
"S. K.",
""
]
] |
Here, creation of the universe is obtained only from gravity sector. The dynamical universe begins with two basic ingredients (i) vacuum energy, also called dark energy (as vacuum energy is not observed) and (ii) background radiation. These two are obtained through one-loop renormalization of riccion. Solutions of renormalization group equations yield initial value of vaccum energy density $\rho_{\Lambda_{\rm ew}} = 10^6$ GeV^4 and show a phase transition at the electroweak scale $M_{\rm ew}$. As a result of phase transition,energy is released (in the form of background radiation) heating the universe upto temperature $T_{\rm ew} = 78.5$ GeV $= 9.1 \times 10^{14}$ K initially. In the proposed cosmology, it is found that not only current universe expands with acceleration, but it undergoes accelerated expansion from the beginning itself.It is demonstrated that dark energy decays to dark matter and the ratio of dark matter density and dark energy density remains less than unity upto a long time in future also, providing a solution to $cosmic$ $coincidence$ $problem$.Future course of the universe is also discussed here. It is shown how entropy of the universe grows upto 10$^{87}$ in the present universe. Moreover, particle creation, primordial nucleosynthesis and structure formation in the late universe is discussed for the proposed model.Investigations, here, present a fresh look to cosmology consistent with current observational evidences as well as provide solution to some important problems.
|
0708.1911
|
John Morris
|
J. R. Morris
|
Moduli Vacuum Bubbles Produced by Evaporating Black Holes
|
20 pages; to appear in Phys.Rev.D
|
Phys.Rev.D76:085003,2007
|
10.1103/PhysRevD.76.085003
| null |
hep-th gr-qc hep-ph
| null |
We consider a model with a toroidally compactified extra dimension giving
rise to a temperature-dependent 4d effective potential with one-loop
contributions due to the Casimir effect, along with a 5d cosmological constant.
The forms of the effective potential at low and high temperatures indicates a
possibility for the formation of a domain wall bubble, formed by the modulus
scalar field, surrounding an evaporating black hole. This is viewed as an
example of a recently proposed black hole vacuum bubble arising from
matter-sourced moduli fields in the vicinity of an evaporating black hole [D.
Green, E. Silverstein, and D. Starr, Phys. Rev. D74, 024004 (2006),
arXiv:hep-th/0605047]. The black hole bubble can be highly opaque to lower
energy particles and photons, and thereby entrap them within. For high
temperature black holes, there may also be a symmetry-breaking black hole
bubble of false vacuum of the type previously conjectured by Moss [I.G. Moss,
Phys. Rev. D32,1333 (1985)], tending to reflect low energy particles from its
wall. A double bubble composed of these two different types of bubble may form
around the black hole, altering the hole's emission spectrum that reaches
outside observers. Smaller mass black holes that have already evaporated away
could have left vacuum bubbles behind that contribute to the dark matter.
|
[
{
"created": "Tue, 14 Aug 2007 14:59:07 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Morris",
"J. R.",
""
]
] |
We consider a model with a toroidally compactified extra dimension giving rise to a temperature-dependent 4d effective potential with one-loop contributions due to the Casimir effect, along with a 5d cosmological constant. The forms of the effective potential at low and high temperatures indicates a possibility for the formation of a domain wall bubble, formed by the modulus scalar field, surrounding an evaporating black hole. This is viewed as an example of a recently proposed black hole vacuum bubble arising from matter-sourced moduli fields in the vicinity of an evaporating black hole [D. Green, E. Silverstein, and D. Starr, Phys. Rev. D74, 024004 (2006), arXiv:hep-th/0605047]. The black hole bubble can be highly opaque to lower energy particles and photons, and thereby entrap them within. For high temperature black holes, there may also be a symmetry-breaking black hole bubble of false vacuum of the type previously conjectured by Moss [I.G. Moss, Phys. Rev. D32,1333 (1985)], tending to reflect low energy particles from its wall. A double bubble composed of these two different types of bubble may form around the black hole, altering the hole's emission spectrum that reaches outside observers. Smaller mass black holes that have already evaporated away could have left vacuum bubbles behind that contribute to the dark matter.
|
1009.1201
|
Hang Bae Kim
|
Hang Bae Kim, Yoonbai Kim
|
Surplus Angle and Sign-flipped Coulomb Force in Projectable
Horava-Lifshitz Gravity
|
13 pages
| null |
10.1103/PhysRevD.82.103512
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We obtain the static spherically symmetric vacuum solutions of
Horava-Lifshitz gravity theory, imposing the detailed balance condition only in
the UV limit. We find the solutions in two different coordinate systems, the
Painlev\'e-Gullstrand coordinates and the Poincare coordinates, to examine the
consequences of imposing the projectability condition. The solutions in two
coordinate systems are distinct due to the non-relativistic nature of the HL
gravity. In the Painleve-Gullstrand coordinates complying with the
projectability condition, the solution involves an additional integration
constant which yields surplus angle and implies attractive Coulomb force
between same charges.
|
[
{
"created": "Tue, 7 Sep 2010 06:29:39 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Oct 2010 01:35:36 GMT",
"version": "v2"
}
] |
2013-05-29
|
[
[
"Kim",
"Hang Bae",
""
],
[
"Kim",
"Yoonbai",
""
]
] |
We obtain the static spherically symmetric vacuum solutions of Horava-Lifshitz gravity theory, imposing the detailed balance condition only in the UV limit. We find the solutions in two different coordinate systems, the Painlev\'e-Gullstrand coordinates and the Poincare coordinates, to examine the consequences of imposing the projectability condition. The solutions in two coordinate systems are distinct due to the non-relativistic nature of the HL gravity. In the Painleve-Gullstrand coordinates complying with the projectability condition, the solution involves an additional integration constant which yields surplus angle and implies attractive Coulomb force between same charges.
|
hep-th/0505100
|
Carlos Nunez
|
Umut Gursoy and Carlos Nunez
|
Dipole Deformations of N=1 SYM and Supergravity backgrounds with U(1) X
U(1) global symmetry
|
41 pages plus appendices. References added and typos corrected
|
Nucl.Phys.B725:45-92,2005
|
10.1016/j.nuclphysb.2005.07.023
|
MIT-CTP 3603
|
hep-th
| null |
We study SL(3,R) deformations of a type IIB background based on D5 branes
that is conjectured to be dual to N=1 SYM. We argue that this deformation of
the geometry correspond to turning on a dipole deformation in the field theory
on the D5 branes. We give evidence that this deformation only affects the
KK-sector of the dual field theory and helps decoupling the KK dynamics from
the pure gauge dynamics. Similar deformations of the geometry that is dual to
N=2 SYM are studied. Finally, we also study a deformation that leaves us with a
possible candidate for a dual to N=0 YM theory.
|
[
{
"created": "Wed, 11 May 2005 20:03:38 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Jun 2005 23:41:56 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Gursoy",
"Umut",
""
],
[
"Nunez",
"Carlos",
""
]
] |
We study SL(3,R) deformations of a type IIB background based on D5 branes that is conjectured to be dual to N=1 SYM. We argue that this deformation of the geometry correspond to turning on a dipole deformation in the field theory on the D5 branes. We give evidence that this deformation only affects the KK-sector of the dual field theory and helps decoupling the KK dynamics from the pure gauge dynamics. Similar deformations of the geometry that is dual to N=2 SYM are studied. Finally, we also study a deformation that leaves us with a possible candidate for a dual to N=0 YM theory.
|
0901.0025
|
Vladimir Ivashchuk
|
V.D. Ivashchuk, S.A. Kononogov and V.N. Melnikov
|
Electric S-brane solutions corresponding to rank-2 Lie algebras:
acceleration and small variation of G
|
13 pages, LaTex, no figures
|
Grav.Cosmol.14:235-240,2008
|
10.1134/S0202289308030055
|
IGC-PFUR/08-12-01
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Electric S-brane solutions with two non-composite electric branes and a set
of l scalar fields are considered. The intersection rules for branes correspond
to Lie algebras A_2, C_2 and G_2. The solutions contain five factor spaces. One
of them, M_0, is interpreted as our 3-dimensional space. It is shown that there
exists a time interval where accelerated expansion of our 3-dimensional space
is compatible with a small enough variation of the effective gravitational
constant G(\tau). This interval contains \tau_0, a point of minimum of the
function G(\tau). A special solution with two phantom scalar fields is analyzed
and it is shown that in the vicinity of the point \tau_0 the time variation of
G(\tau) (calculated in the linear approximation) decreases in the sequence of
Lie algebras A_2, C_2 and G_2.
|
[
{
"created": "Tue, 30 Dec 2008 22:46:58 GMT",
"version": "v1"
}
] |
2009-03-24
|
[
[
"Ivashchuk",
"V. D.",
""
],
[
"Kononogov",
"S. A.",
""
],
[
"Melnikov",
"V. N.",
""
]
] |
Electric S-brane solutions with two non-composite electric branes and a set of l scalar fields are considered. The intersection rules for branes correspond to Lie algebras A_2, C_2 and G_2. The solutions contain five factor spaces. One of them, M_0, is interpreted as our 3-dimensional space. It is shown that there exists a time interval where accelerated expansion of our 3-dimensional space is compatible with a small enough variation of the effective gravitational constant G(\tau). This interval contains \tau_0, a point of minimum of the function G(\tau). A special solution with two phantom scalar fields is analyzed and it is shown that in the vicinity of the point \tau_0 the time variation of G(\tau) (calculated in the linear approximation) decreases in the sequence of Lie algebras A_2, C_2 and G_2.
|
2110.09861
|
Xinan Zhou
|
Luis F. Alday, Agnese Bissi, Xinan Zhou
|
One-loop Gluon Amplitudes in AdS
|
v1: 37 pages, 5 figures, v2: minor improvements, published version
|
JHEP 02 (2022) 105
|
10.1007/JHEP02(2022)105
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We initiate the study of one-loop gluon amplitudes in AdS space. These
amplitudes were recently computed at tree level for a variety of backgrounds of
the form $AdS_{d+1} \times S^3$. For concreteness, we compute the one-loop
correction to the massless gluon amplitude on $AdS_5\times S^3$, which
corresponds to the four-point correlator of the flavor current multiplet in the
dual 4d $\mathcal{N}=2$ SCFT. This requires solving a mixing problem that
involves tree-level amplitudes of arbitrarily massive Kaluza-Klein modes. The
final answer has the same color structure as in flat space but the dependence
on Mandelstam variables is more complicated, with logarithms replaced by
polygamma functions.
|
[
{
"created": "Tue, 19 Oct 2021 11:26:32 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Feb 2022 07:17:47 GMT",
"version": "v2"
}
] |
2022-02-16
|
[
[
"Alday",
"Luis F.",
""
],
[
"Bissi",
"Agnese",
""
],
[
"Zhou",
"Xinan",
""
]
] |
We initiate the study of one-loop gluon amplitudes in AdS space. These amplitudes were recently computed at tree level for a variety of backgrounds of the form $AdS_{d+1} \times S^3$. For concreteness, we compute the one-loop correction to the massless gluon amplitude on $AdS_5\times S^3$, which corresponds to the four-point correlator of the flavor current multiplet in the dual 4d $\mathcal{N}=2$ SCFT. This requires solving a mixing problem that involves tree-level amplitudes of arbitrarily massive Kaluza-Klein modes. The final answer has the same color structure as in flat space but the dependence on Mandelstam variables is more complicated, with logarithms replaced by polygamma functions.
|
0805.1550
|
Wen-Yu Wen
|
Wen-Yu Wen
|
Inhomogeneous magnetic field in AdS/CFT superconductor
|
7 pages, 1 figure, REVTex4
| null | null | null |
hep-th cond-mat.supr-con
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the holographically dual description of superconductor in
(2+1)-dimensions in the presence of inhomogeneous magnetic field and observe
that there exists type I and type II superconductor. A new feature of type
changing is observed for type I superconductor near critical temperature.
|
[
{
"created": "Sun, 11 May 2008 18:11:50 GMT",
"version": "v1"
}
] |
2008-05-13
|
[
[
"Wen",
"Wen-Yu",
""
]
] |
We study the holographically dual description of superconductor in (2+1)-dimensions in the presence of inhomogeneous magnetic field and observe that there exists type I and type II superconductor. A new feature of type changing is observed for type I superconductor near critical temperature.
|
0902.4180
|
Stuart Dowker
|
J.S.Dowker
|
Fuzzy gauge theory and non-locality
|
9 pages
| null | null | null |
hep-th gr-qc math-ph math.DG math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is argued that the enlargement of the gauge group found in non-commutative
gauge theory is more fundamentally thought of as a consequence of the
non-locality of the construction and that it was already encountered in an
earlier discussion of a non-local gauge theory.
|
[
{
"created": "Tue, 24 Feb 2009 16:14:52 GMT",
"version": "v1"
}
] |
2009-03-04
|
[
[
"Dowker",
"J. S.",
""
]
] |
It is argued that the enlargement of the gauge group found in non-commutative gauge theory is more fundamentally thought of as a consequence of the non-locality of the construction and that it was already encountered in an earlier discussion of a non-local gauge theory.
|
1103.5022
|
Sugumi Kanno
|
Sugumi Kanno
|
A Note on Gauss-Bonnet Holographic Superconductors
|
6 pages, typos corrected, references added, published version
|
Class.Quant.Grav.28:127001,2011
|
10.1088/0264-9381/28/12/127001
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present an analytic treatment near the phase transition for the critical
temperature of (3+1)-dimensional holographic superconductors in
Einstein-Gauss-Bonnet gravity with backreaction. We find that the backreaction
makes the critical temperature of the superconductor decrease and condensation
harder. This is consistent with previous numerical results.
|
[
{
"created": "Fri, 25 Mar 2011 16:33:26 GMT",
"version": "v1"
},
{
"created": "Thu, 5 May 2011 17:04:49 GMT",
"version": "v2"
}
] |
2011-05-09
|
[
[
"Kanno",
"Sugumi",
""
]
] |
We present an analytic treatment near the phase transition for the critical temperature of (3+1)-dimensional holographic superconductors in Einstein-Gauss-Bonnet gravity with backreaction. We find that the backreaction makes the critical temperature of the superconductor decrease and condensation harder. This is consistent with previous numerical results.
|
2310.00045
|
Gabriel Cuomo
|
Ofer Aharony, Gabriel Cuomo, Zohar Komargodski, M\'ark Mezei, Avia
Raviv-Moshe
|
Phases of Wilson Lines: Conformality and Screening
|
119 pages, 17 figures
| null | null | null |
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the rich dynamics resulting from introducing static charged
particles (Wilson lines) in 2+1 and 3+1 dimensional gauge theories. Depending
on the charges of the external particles, there may be multiple defect fixed
points with interesting renormalization group flows connecting them, or an
exponentially large screening cloud can develop (defining a new emergent length
scale), screening the bare charge entirely or partially. We investigate several
examples where the dynamics can be solved in various weak coupling or double
scaling limits. Sometimes even the elementary Wilson lines, corresponding to
the lowest nontrivial charge, are screened. We consider Wilson lines in 3+1
dimensional gauge theories including massless scalar and fermionic QED$_4$, and
also in the ${\mathcal N}=4$ supersymmetric Yang-Mills theory. We also consider
Wilson lines in 2+1 dimensional conformal gauge theories such as QED$_3$ with
bosons or fermions, Chern-Simons-Matter theories, and the effective theory of
graphene. Our results in 2+1 dimensions have potential implications for
graphene, second-order superconducting phase transitions, etc. Finally, we
comment on magnetic line operators in 3+1 dimensions ('t Hooft lines) and argue
that our results for the infrared dynamics of electric and magnetic lines are
consistent with non-Abelian electric-magnetic duality.
|
[
{
"created": "Fri, 29 Sep 2023 18:00:02 GMT",
"version": "v1"
}
] |
2023-10-03
|
[
[
"Aharony",
"Ofer",
""
],
[
"Cuomo",
"Gabriel",
""
],
[
"Komargodski",
"Zohar",
""
],
[
"Mezei",
"Márk",
""
],
[
"Raviv-Moshe",
"Avia",
""
]
] |
We study the rich dynamics resulting from introducing static charged particles (Wilson lines) in 2+1 and 3+1 dimensional gauge theories. Depending on the charges of the external particles, there may be multiple defect fixed points with interesting renormalization group flows connecting them, or an exponentially large screening cloud can develop (defining a new emergent length scale), screening the bare charge entirely or partially. We investigate several examples where the dynamics can be solved in various weak coupling or double scaling limits. Sometimes even the elementary Wilson lines, corresponding to the lowest nontrivial charge, are screened. We consider Wilson lines in 3+1 dimensional gauge theories including massless scalar and fermionic QED$_4$, and also in the ${\mathcal N}=4$ supersymmetric Yang-Mills theory. We also consider Wilson lines in 2+1 dimensional conformal gauge theories such as QED$_3$ with bosons or fermions, Chern-Simons-Matter theories, and the effective theory of graphene. Our results in 2+1 dimensions have potential implications for graphene, second-order superconducting phase transitions, etc. Finally, we comment on magnetic line operators in 3+1 dimensions ('t Hooft lines) and argue that our results for the infrared dynamics of electric and magnetic lines are consistent with non-Abelian electric-magnetic duality.
|
0712.2728
|
Krzysztof Kowalski
|
K. Kowalski, J. Rembielinski and K.A. Smolinski
|
Relativistic ideal Fermi gas at zero temperature and preferred frame
| null |
Phys.Rev.D76:127701,2007
|
10.1103/PhysRevD.76.127701
| null |
hep-th astro-ph cond-mat.stat-mech
| null |
We discuss the limit T->0 of the relativistic ideal Fermi gas of luxons
(particles moving with the speed of light) and tachyons (hypothetical particles
faster than light) based on observations of our recent paper: K. Kowalski, J.
Rembielinski and K.A. Smolinski, Phys. Rev. D, 76, 045018 (2007). For bradyons
this limit is in fact the nonrelativistic one and therefore it is not studied
herein.
|
[
{
"created": "Mon, 17 Dec 2007 14:43:21 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Kowalski",
"K.",
""
],
[
"Rembielinski",
"J.",
""
],
[
"Smolinski",
"K. A.",
""
]
] |
We discuss the limit T->0 of the relativistic ideal Fermi gas of luxons (particles moving with the speed of light) and tachyons (hypothetical particles faster than light) based on observations of our recent paper: K. Kowalski, J. Rembielinski and K.A. Smolinski, Phys. Rev. D, 76, 045018 (2007). For bradyons this limit is in fact the nonrelativistic one and therefore it is not studied herein.
|
hep-th/9911171
|
Manuel Calixto
|
M. Calixto
|
Structure Constants for New Infinite-Dimensional Lie Algebras of
U(N+,N-) Tensor Operators and Applications
|
8 pages, LaTeX, no figures; minor comments added; to appear in J.
Phys A (Math. Gen.)
|
J.Phys. A33 (2000) L69-L75
|
10.1088/0305-4470/33/8/101
|
SWAT-99/245
|
hep-th math-ph math.MP math.OA math.RT
| null |
The structure constants for Moyal brackets of an infinite basis of functions
on the algebraic manifolds M of pseudo-unitary groups U(N_+,N_-) are provided.
They generalize the Virasoro and W_\infty algebras to higher dimensions. The
connection with volume-preserving diffeomorphisms on M, higher generalized-spin
and tensor operator algebras of U(N_+,N_-) is discussed. These
centrally-extended, infinite-dimensional Lie-algebras provide also the arena
for non-linear integrable field theories in higher dimensions, residual gauge
symmetries of higher-extended objects in the light-cone gauge and C^*-algebras
for tractable non-commutative versions of symmetric curved spaces.
|
[
{
"created": "Mon, 22 Nov 1999 16:28:22 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Jan 2000 19:15:13 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Calixto",
"M.",
""
]
] |
The structure constants for Moyal brackets of an infinite basis of functions on the algebraic manifolds M of pseudo-unitary groups U(N_+,N_-) are provided. They generalize the Virasoro and W_\infty algebras to higher dimensions. The connection with volume-preserving diffeomorphisms on M, higher generalized-spin and tensor operator algebras of U(N_+,N_-) is discussed. These centrally-extended, infinite-dimensional Lie-algebras provide also the arena for non-linear integrable field theories in higher dimensions, residual gauge symmetries of higher-extended objects in the light-cone gauge and C^*-algebras for tractable non-commutative versions of symmetric curved spaces.
|
2311.12921
|
Kenneth Higginbotham
|
Oliver DeWolfe and Kenneth Higginbotham
|
Bulk reconstruction and non-isometry in the backwards-forwards
holographic black hole map
|
36 pages, 13 figures. v2: plotting errors corrected, conclusions
unchanged
| null | null | null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The backwards-forwards map, introduced as a generalization of the
non-isometric holographic maps of the black hole interior of Akers, Engelhardt,
Harlow, Penington, and Vardhan to include non-trivial dynamics in the effective
description, has two possible formulations differing in when the post-selection
is performed. While these two forms are equivalent on the set of dynamically
generated states -- states formed from unitary time evolution acting on
well-defined initial configurations of infalling matter -- they differ on the
generic set of states necessary to describe the apparent world of the infalling
observer. We show that while both versions successfully reproduce the Page
curve, the version involving post-selection as the final step, dubbed the
backwards-forwards-post-selection (BFP) map, has the desirable properties of
being non-isometric but isometric on average and providing state-dependent
reconstruction of bulk operators, while the other version does not. Thus the
BFP map is a suitable non-isometric code describing the black hole interior
including interior interactions.
|
[
{
"created": "Tue, 21 Nov 2023 19:00:00 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Dec 2023 17:53:38 GMT",
"version": "v2"
}
] |
2023-12-05
|
[
[
"DeWolfe",
"Oliver",
""
],
[
"Higginbotham",
"Kenneth",
""
]
] |
The backwards-forwards map, introduced as a generalization of the non-isometric holographic maps of the black hole interior of Akers, Engelhardt, Harlow, Penington, and Vardhan to include non-trivial dynamics in the effective description, has two possible formulations differing in when the post-selection is performed. While these two forms are equivalent on the set of dynamically generated states -- states formed from unitary time evolution acting on well-defined initial configurations of infalling matter -- they differ on the generic set of states necessary to describe the apparent world of the infalling observer. We show that while both versions successfully reproduce the Page curve, the version involving post-selection as the final step, dubbed the backwards-forwards-post-selection (BFP) map, has the desirable properties of being non-isometric but isometric on average and providing state-dependent reconstruction of bulk operators, while the other version does not. Thus the BFP map is a suitable non-isometric code describing the black hole interior including interior interactions.
|
1202.5255
|
Avihay Kadosh
|
Avihay Kadosh, Aharon Davidson and Elisabetta Pallante
|
Slinky evolution of domain wall brane cosmology
|
24 pages, 4 figures, extended discussion of slinky evolution, minor
revisions, conclusions unchanged
|
Phys. Rev. D 86, 124015 (2012)
|
10.1103/PhysRevD.86.124015
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Invoking an initial symmetry between the time $ t $ and some extra spatial
dimension $ y $, we discuss a novel scenario where the dynamical formation of
the 4-dim brane and its cosmological evolution are induced simultaneously by a
common $ t<->y $ symmetry breaking mechanism. The local maximum of the
underlying scalar potential is mapped onto a 'watershed' curve in the $ (t,y) $
plane; the direction tangent to this curve is identified as the cosmic time,
whereas the perpendicular direction serves locally as the extra spatial
dimension. Special attention is devoted to the so-called slinky configurations,
whose brane cosmology is characterized by a decaying cosmological constant
along the watershed curve. Such a slinky solution is first constructed within a
simplified case where the watershed is constrained by $ y = 0 $. The physical
requirements for a slinky configuration to generate a realistic model of
cosmological evolution are then discussed in a more elaborated framework.
|
[
{
"created": "Thu, 23 Feb 2012 18:19:06 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Aug 2012 10:18:03 GMT",
"version": "v2"
}
] |
2012-12-06
|
[
[
"Kadosh",
"Avihay",
""
],
[
"Davidson",
"Aharon",
""
],
[
"Pallante",
"Elisabetta",
""
]
] |
Invoking an initial symmetry between the time $ t $ and some extra spatial dimension $ y $, we discuss a novel scenario where the dynamical formation of the 4-dim brane and its cosmological evolution are induced simultaneously by a common $ t<->y $ symmetry breaking mechanism. The local maximum of the underlying scalar potential is mapped onto a 'watershed' curve in the $ (t,y) $ plane; the direction tangent to this curve is identified as the cosmic time, whereas the perpendicular direction serves locally as the extra spatial dimension. Special attention is devoted to the so-called slinky configurations, whose brane cosmology is characterized by a decaying cosmological constant along the watershed curve. Such a slinky solution is first constructed within a simplified case where the watershed is constrained by $ y = 0 $. The physical requirements for a slinky configuration to generate a realistic model of cosmological evolution are then discussed in a more elaborated framework.
|
hep-th/0405087
|
Marcos Alvarez
|
Marcos Alvarez (City University)
|
Torsion cycles as non-local magnetic sources in non-orientable spaces
|
17 pages, 4 figures
|
Commun.Math.Phys.277:715-727,2008
|
10.1007/s00220-007-0378-0
| null |
hep-th
| null |
Non-orientable spaces can appear to carry net magnetic charge, even in the
absence of magnetic sources. It is shown that this effect can be understood as
a physical manifestation of the existence of torsion cycles of codimension one
in the homology of space.
|
[
{
"created": "Mon, 10 May 2004 18:21:24 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Alvarez",
"Marcos",
"",
"City University"
]
] |
Non-orientable spaces can appear to carry net magnetic charge, even in the absence of magnetic sources. It is shown that this effect can be understood as a physical manifestation of the existence of torsion cycles of codimension one in the homology of space.
|
2408.00572
|
Miguel F. Paulos
|
Nat Levine and Miguel F. Paulos
|
Bootstrapping bulk locality. Part II: Interacting functionals
|
50 pages + appendices
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Locality of bulk operators in AdS imposes stringent constraints on their
description in terms of the boundary CFT. These constraints are encoded as sum
rules on the bulk-to-boundary expansion coefficients. In this paper, we
construct families of sum rules that are (i) complete and (ii) `dual' to sparse
CFT spectra. The sum rules trivialise the reconstruction of bulk operators in
strongly interacting QFTs in AdS space and allow us to write down explicit,
exact, interacting solutions to the locality problem. Technically, we
characterise `completeness' of a set of sum rules by constructing Schauder
bases for a certain space of real-analytic functions. In turn, this allows us
to prove a Paley-Weiner type theorem characterising the space of sum rules.
Remarkably, with control over this space, it is possible to write down
closed-form `designer sum rules', dual to a chosen spectrum of CFT operators
meeting certain criteria. We discuss the consequences of our results for both
analytic and numerical bootstrap applications.
|
[
{
"created": "Thu, 1 Aug 2024 14:05:31 GMT",
"version": "v1"
}
] |
2024-08-02
|
[
[
"Levine",
"Nat",
""
],
[
"Paulos",
"Miguel F.",
""
]
] |
Locality of bulk operators in AdS imposes stringent constraints on their description in terms of the boundary CFT. These constraints are encoded as sum rules on the bulk-to-boundary expansion coefficients. In this paper, we construct families of sum rules that are (i) complete and (ii) `dual' to sparse CFT spectra. The sum rules trivialise the reconstruction of bulk operators in strongly interacting QFTs in AdS space and allow us to write down explicit, exact, interacting solutions to the locality problem. Technically, we characterise `completeness' of a set of sum rules by constructing Schauder bases for a certain space of real-analytic functions. In turn, this allows us to prove a Paley-Weiner type theorem characterising the space of sum rules. Remarkably, with control over this space, it is possible to write down closed-form `designer sum rules', dual to a chosen spectrum of CFT operators meeting certain criteria. We discuss the consequences of our results for both analytic and numerical bootstrap applications.
|
1901.06964
|
Antonio Dobado
|
Adrian Casado-Turrion and Antonio Dobado
|
Chiral symmetry breaking and the Unruh effect
| null | null | null | null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The possibility of chiral symmetry restoration by acceleration is considered.
The Thermalization Theorem formalism and the large $N$ limit (with $N$ being
the number of pions) are employed to solve the lowest-order approximation to
QCD at low energies in Rindler spacetime. It is shown that chiral symmetry is
restored for accelerations higher than the critical value $a_c=4\pi f_\pi$,
with $f_\pi$ being the pion decay constant. The results are completely
analogous to those obtained in the inertial, finite-temperature case, evincing
the ontic character of the Unruh effect.
|
[
{
"created": "Mon, 21 Jan 2019 15:32:41 GMT",
"version": "v1"
}
] |
2019-01-23
|
[
[
"Casado-Turrion",
"Adrian",
""
],
[
"Dobado",
"Antonio",
""
]
] |
The possibility of chiral symmetry restoration by acceleration is considered. The Thermalization Theorem formalism and the large $N$ limit (with $N$ being the number of pions) are employed to solve the lowest-order approximation to QCD at low energies in Rindler spacetime. It is shown that chiral symmetry is restored for accelerations higher than the critical value $a_c=4\pi f_\pi$, with $f_\pi$ being the pion decay constant. The results are completely analogous to those obtained in the inertial, finite-temperature case, evincing the ontic character of the Unruh effect.
|
2312.08761
|
Lu-Yao Wang
|
Lu-Yao Wang, Yu-Sen Zhu, Shao-Kui Yao and Bei Kang
|
Large N limit of complex multi-matrix model
| null | null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct the complex multi-matrix model with W-representation and
calculate the correlators. We establish the correspondence between the
connected correlators and length-2n q-colored Dyck walks in Fredkin spin chain
and discuss the entanglement entropy. Moreover, we analyze the free energy of
this multi-matrix model. For the leading coefficient of the free energy, it
relates to the connected correlators in large N limit.
|
[
{
"created": "Thu, 14 Dec 2023 09:13:06 GMT",
"version": "v1"
}
] |
2023-12-15
|
[
[
"Wang",
"Lu-Yao",
""
],
[
"Zhu",
"Yu-Sen",
""
],
[
"Yao",
"Shao-Kui",
""
],
[
"Kang",
"Bei",
""
]
] |
We construct the complex multi-matrix model with W-representation and calculate the correlators. We establish the correspondence between the connected correlators and length-2n q-colored Dyck walks in Fredkin spin chain and discuss the entanglement entropy. Moreover, we analyze the free energy of this multi-matrix model. For the leading coefficient of the free energy, it relates to the connected correlators in large N limit.
|
hep-th/0701185
|
Graham Shore
|
G. M. Shore
|
Superluminality and UV Completion
|
42 pages, 14 figures
|
Nucl.Phys.B778:219-258,2007
|
10.1016/j.nuclphysb.2007.03.034
|
SWAT 07-503
|
hep-th gr-qc
| null |
The idea that the existence of a consistent UV completion satisfying the
fundamental axioms of local quantum field theory or string theory may impose
positivity constraints on the couplings of the leading irrelevant operators in
a low-energy effective field theory is critically discussed. Violation of these
constraints implies superluminal propagation, in the sense that the
low-frequency limit of the phase velocity $v_{\rm ph}(0)$ exceeds $c$. It is
explained why causality is related not to $v_{\rm ph}(0)$ but to the
high-frequency limit $v_{\rm ph}(\infty)$ and how these are related by the
Kramers-Kronig dispersion relation, depending on the sign of the imaginary part
of the refractive index $\Ima n(\w)$ which is normally assumed positive.
Superluminal propagation and its relation to UV completion is investigated in
detail in three theories: QED in a background electromagnetic field, where the
full dispersion relation for $n(\w)$ is evaluated numerically for the first
time and the role of the null energy condition $T_{\m\n}k^\m k^\n \ge 0$ is
highlighted; QED in a background gravitational field, where examples of
superluminal low-frequency phase velocities arise in violation of the
positivity constraints; and light propagation in coupled laser-atom
$\L$-systems exhibiting Raman gain lines with $\Ima n(\w) < 0$. The possibility
that a negative $\Ima n(\w)$ must occur in quantum field theories involving
gravity to avoid causality violation, and the implications for the relation of
IR effective field theories to their UV completion, are carefully analysed.
|
[
{
"created": "Fri, 19 Jan 2007 16:19:01 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Shore",
"G. M.",
""
]
] |
The idea that the existence of a consistent UV completion satisfying the fundamental axioms of local quantum field theory or string theory may impose positivity constraints on the couplings of the leading irrelevant operators in a low-energy effective field theory is critically discussed. Violation of these constraints implies superluminal propagation, in the sense that the low-frequency limit of the phase velocity $v_{\rm ph}(0)$ exceeds $c$. It is explained why causality is related not to $v_{\rm ph}(0)$ but to the high-frequency limit $v_{\rm ph}(\infty)$ and how these are related by the Kramers-Kronig dispersion relation, depending on the sign of the imaginary part of the refractive index $\Ima n(\w)$ which is normally assumed positive. Superluminal propagation and its relation to UV completion is investigated in detail in three theories: QED in a background electromagnetic field, where the full dispersion relation for $n(\w)$ is evaluated numerically for the first time and the role of the null energy condition $T_{\m\n}k^\m k^\n \ge 0$ is highlighted; QED in a background gravitational field, where examples of superluminal low-frequency phase velocities arise in violation of the positivity constraints; and light propagation in coupled laser-atom $\L$-systems exhibiting Raman gain lines with $\Ima n(\w) < 0$. The possibility that a negative $\Ima n(\w)$ must occur in quantum field theories involving gravity to avoid causality violation, and the implications for the relation of IR effective field theories to their UV completion, are carefully analysed.
|
hep-th/0606097
|
Kurt Lechner
|
K. Lechner
|
Radiation reaction and four-momentum conservation for point-like dyons
|
12 pages, no figures
|
J.Phys.A39:11647-11656,2006
|
10.1088/0305-4470/39/37/019
|
DFPD 06/TH/06
|
hep-th
| null |
We construct for a system of point-like dyons a conserved energy-momentum
tensor entailing finite momentum integrals, that takes the radiation reaction
into account.
|
[
{
"created": "Sat, 10 Jun 2006 14:47:33 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Aug 2006 16:54:06 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Lechner",
"K.",
""
]
] |
We construct for a system of point-like dyons a conserved energy-momentum tensor entailing finite momentum integrals, that takes the radiation reaction into account.
|
hep-th/0601074
|
Radu Roiban
|
R. Roiban, A. Tirziu and A.A. Tseytlin
|
Slow-string limit and "antiferromagnetic" state in AdS/CFT
|
32 pages, Latex v2: one footnote and references added
|
Phys.Rev.D73:066003,2006
|
10.1103/PhysRevD.73.066003
| null |
hep-th
| null |
We discuss a slow-moving limit of a rigid circular equal-spin solution on R x
S^3. We suggest that the solution with the winding number equal to the total
spin approximates the quantum string state dual to the maximal-dimension
``antiferromagnetic'' state of the SU(2) spin chain on the gauge theory side.
An expansion of the string action near this solution leads to a weakly coupled
system of a sine-Gordon model and a free field. We show that a similar
effective Hamiltonian appears in a certain continuum limit from the half-filled
Hubbard model that was recently suggested to describe the all-order dilatation
operator of the dual gauge theory in the SU(2) sector. We also discuss some
other slow-string solutions with one spin component in AdS_5 and one in S^5.
|
[
{
"created": "Thu, 12 Jan 2006 01:54:34 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Mar 2006 16:32:17 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Roiban",
"R.",
""
],
[
"Tirziu",
"A.",
""
],
[
"Tseytlin",
"A. A.",
""
]
] |
We discuss a slow-moving limit of a rigid circular equal-spin solution on R x S^3. We suggest that the solution with the winding number equal to the total spin approximates the quantum string state dual to the maximal-dimension ``antiferromagnetic'' state of the SU(2) spin chain on the gauge theory side. An expansion of the string action near this solution leads to a weakly coupled system of a sine-Gordon model and a free field. We show that a similar effective Hamiltonian appears in a certain continuum limit from the half-filled Hubbard model that was recently suggested to describe the all-order dilatation operator of the dual gauge theory in the SU(2) sector. We also discuss some other slow-string solutions with one spin component in AdS_5 and one in S^5.
|
1205.3584
|
Damiano Anselmi
|
Damiano Anselmi
|
A Master Functional For Quantum Field Theory
|
38 pages, 1 figure; v2: minor changes and proof corrections, EPJC
|
Eur. Phys. J. C73 (2013) 2385
|
10.1140/epjc/s10052-013-2385-y
|
IFUP-TH 2012/09
|
hep-th hep-ph math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study a new generating functional of one-particle irreducible diagrams in
quantum field theory, called master functional, which is invariant under the
most general perturbative changes of field variables. The usual functional
Gamma does not behave as a scalar under the transformation law inherited from
its very definition as the Legendre transform of W = ln Z, although it does
behave as a scalar under an unusual transformation law. The master functional,
on the other hand, is the Legendre transform of an improved functional W with
respect to the sources coupled to both elementary and composite fields. The
inclusion of certain improvement terms in W and Z is necessary to make the new
Legendre transform well defined. The master functional behaves as a scalar
under the transformation law inherited from its very definition. Moreover, it
admits a proper formulation, obtained extending the set of integrated fields to
so-called proper fields, which allows us to work without passing through Z, W
or Gamma. In the proper formulation the classical action coincides with the
classical limit of the master functional, and correlation functions and
renormalization are calculated applying the usual diagrammatic rules to the
proper fields. Finally, the most general change of field variables, including
the map relating bare and renormalized fields, is a linear redefinition of the
proper fields.
|
[
{
"created": "Wed, 16 May 2012 07:45:29 GMT",
"version": "v1"
},
{
"created": "Sat, 6 Apr 2013 10:35:15 GMT",
"version": "v2"
}
] |
2016-04-06
|
[
[
"Anselmi",
"Damiano",
""
]
] |
We study a new generating functional of one-particle irreducible diagrams in quantum field theory, called master functional, which is invariant under the most general perturbative changes of field variables. The usual functional Gamma does not behave as a scalar under the transformation law inherited from its very definition as the Legendre transform of W = ln Z, although it does behave as a scalar under an unusual transformation law. The master functional, on the other hand, is the Legendre transform of an improved functional W with respect to the sources coupled to both elementary and composite fields. The inclusion of certain improvement terms in W and Z is necessary to make the new Legendre transform well defined. The master functional behaves as a scalar under the transformation law inherited from its very definition. Moreover, it admits a proper formulation, obtained extending the set of integrated fields to so-called proper fields, which allows us to work without passing through Z, W or Gamma. In the proper formulation the classical action coincides with the classical limit of the master functional, and correlation functions and renormalization are calculated applying the usual diagrammatic rules to the proper fields. Finally, the most general change of field variables, including the map relating bare and renormalized fields, is a linear redefinition of the proper fields.
|
1303.5915
|
Masato Taki
|
Masato Taki
|
Holomorphic Blocks for 3d Non-abelian Partition Functions
|
24 pages, 4 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The most recent studies on the supersymmetric localization reveal many
non-trivial features of supersymmetric field theories in diverse dimensions,
and 3d gauge theory provides a typical example. It was conjectured that the
index and the partition function of a 3d N=2 theory are constructed from a
single component: the holomorphic block. We prove this conjecture for
non-abelian gauge theories by computing exactly the 3d partition functions and
holomorphic blocks.
|
[
{
"created": "Sun, 24 Mar 2013 05:19:47 GMT",
"version": "v1"
}
] |
2013-03-26
|
[
[
"Taki",
"Masato",
""
]
] |
The most recent studies on the supersymmetric localization reveal many non-trivial features of supersymmetric field theories in diverse dimensions, and 3d gauge theory provides a typical example. It was conjectured that the index and the partition function of a 3d N=2 theory are constructed from a single component: the holomorphic block. We prove this conjecture for non-abelian gauge theories by computing exactly the 3d partition functions and holomorphic blocks.
|
1412.2902
|
Alexey Sharapov
|
Alexey A. Sharapov
|
On covariant Poisson brackets in field theory
|
Based on the talk given at Bialowieza Workshop on Geometric Methods
in Physics, June 2014
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A general approach is proposed to constructing covariant Poisson brackets in
the space of histories of a classical field-theoretical model. The approach is
based on the concept of Lagrange anchor, which was originally developed as a
tool for path-integral quantization of Lagrangian and non-Lagrangian dynamics.
The proposed covariant Poisson brackets generalize the Peierls' bracket
construction known in the Lagrangian field theory.
|
[
{
"created": "Tue, 9 Dec 2014 10:31:45 GMT",
"version": "v1"
}
] |
2014-12-10
|
[
[
"Sharapov",
"Alexey A.",
""
]
] |
A general approach is proposed to constructing covariant Poisson brackets in the space of histories of a classical field-theoretical model. The approach is based on the concept of Lagrange anchor, which was originally developed as a tool for path-integral quantization of Lagrangian and non-Lagrangian dynamics. The proposed covariant Poisson brackets generalize the Peierls' bracket construction known in the Lagrangian field theory.
|
1005.2181
|
Takeshi Morita
|
Takeshi Morita
|
Thermodynamics of Large N Gauge Theories with Chemical Potentials in a
1/D Expansion
|
37 pages, 4 figures; v2: minor corrections, references added; v3:
minor corrections, to appear in JHEP
|
JHEP 1008:015,2010
|
10.1007/JHEP08(2010)015
|
TIFR/TH/10-09
|
hep-th cond-mat.stat-mech hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In order to understand thermodynamical properties of N D-branes with chemical
potentials associated with R-symmetry charges, we study a one dimensional large
N gauge theory (bosonic BFSS type model) as a first step. This model is
obtained through a dimensional reduction of a 1+D dimensional SU(N) Yang-Mills
theory and we use a 1/D expansion to investigate the phase structure. We find
three phases in the \mu-T plane. We also show that all the adjoint scalars
condense at large D and obtain a mass dynamically. This dynamical mass protects
our model from the usual perturbative instability of massless scalars in a
non-zero chemical potential. We find that the system is at least meta-stable
for arbitrary large values of the chemical potentials in D \to \infty limit. We
also explore the existence of similar condensation in higher dimensional gauge
theories in a high temperature limit. In 2 and 3 dimensions, the condensation
always happens as in one dimensional case. On the other hand, if the dimension
is higher than 4, there is a critical chemical potential and the condensation
happens only if the chemical potentials are below it.
|
[
{
"created": "Wed, 12 May 2010 19:55:21 GMT",
"version": "v1"
},
{
"created": "Wed, 26 May 2010 15:19:24 GMT",
"version": "v2"
},
{
"created": "Tue, 3 Aug 2010 14:22:38 GMT",
"version": "v3"
}
] |
2014-11-21
|
[
[
"Morita",
"Takeshi",
""
]
] |
In order to understand thermodynamical properties of N D-branes with chemical potentials associated with R-symmetry charges, we study a one dimensional large N gauge theory (bosonic BFSS type model) as a first step. This model is obtained through a dimensional reduction of a 1+D dimensional SU(N) Yang-Mills theory and we use a 1/D expansion to investigate the phase structure. We find three phases in the \mu-T plane. We also show that all the adjoint scalars condense at large D and obtain a mass dynamically. This dynamical mass protects our model from the usual perturbative instability of massless scalars in a non-zero chemical potential. We find that the system is at least meta-stable for arbitrary large values of the chemical potentials in D \to \infty limit. We also explore the existence of similar condensation in higher dimensional gauge theories in a high temperature limit. In 2 and 3 dimensions, the condensation always happens as in one dimensional case. On the other hand, if the dimension is higher than 4, there is a critical chemical potential and the condensation happens only if the chemical potentials are below it.
|
1404.5419
|
Da-Wei Pang
|
Da-Wei Pang
|
On holographic entanglement entropy of non-local field theories
|
24 pages, 2 figures, accepted by Phys. Rev. D
|
Phys. Rev. D 89, 126005 (2014)
|
10.1103/PhysRevD.89.126005
|
MPP-2014-126
|
hep-th cond-mat.str-el quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study holographic entanglement entropy of non-local field theories both at
extremality and finite temperature. The gravity duals, constructed in
arXiv:1208.3469 [hep-th], are characterized by a parameter $w$. Both the zero
temperature backgrounds and the finite temperature counterparts are exact
solutions of Einstein-Maxwell-dilaton theory. For the extremal case we consider
the examples with the entangling regions being a strip and a sphere. We find
that the leading order behavior of the entanglement entropy always exhibits a
volume law when the size of the entangling region is sufficiently small. We
also clarify the condition under which the next-to-leading order result is
universal. For the finite temperature case we obtain the analytic expressions
both in the high temperature limit and in the low temperature limit. In the
former case the leading order result approaches the thermal entropy, while the
finite contribution to the entanglement entropy at extremality can be extracted
by taking the zero temperature limit in the latter case. Moreover, we observe
some peculiar properties of the holographic entanglement entropy when $w=1$.
|
[
{
"created": "Tue, 22 Apr 2014 08:26:39 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Jun 2014 08:21:08 GMT",
"version": "v2"
}
] |
2014-06-18
|
[
[
"Pang",
"Da-Wei",
""
]
] |
We study holographic entanglement entropy of non-local field theories both at extremality and finite temperature. The gravity duals, constructed in arXiv:1208.3469 [hep-th], are characterized by a parameter $w$. Both the zero temperature backgrounds and the finite temperature counterparts are exact solutions of Einstein-Maxwell-dilaton theory. For the extremal case we consider the examples with the entangling regions being a strip and a sphere. We find that the leading order behavior of the entanglement entropy always exhibits a volume law when the size of the entangling region is sufficiently small. We also clarify the condition under which the next-to-leading order result is universal. For the finite temperature case we obtain the analytic expressions both in the high temperature limit and in the low temperature limit. In the former case the leading order result approaches the thermal entropy, while the finite contribution to the entanglement entropy at extremality can be extracted by taking the zero temperature limit in the latter case. Moreover, we observe some peculiar properties of the holographic entanglement entropy when $w=1$.
|
0903.1015
|
Harold Steinacker
|
Harold Steinacker
|
Matrix Models, Emergent Gravity, and Gauge Theory
|
8 pages. Based on invited talks given at the Conferences "Quantum
Spacetime and Noncommutative Geometry", Rome, 2008 and at "Workshop on
quantum gravity and nocommutative geometry", Lisbon, 2008 and at "Emergent
Gravity", Boston, 2008 and at DICE2008, Italy, 2008 and at "QG2 2008 Quantum
Geometry and Quantum Gravity", Nottingham, 2008
|
J.Phys.Conf.Ser.174:012044,2009
|
10.1088/1742-6596/174/1/012044
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Matrix models of Yang-Mills type induce an effective gravity theory on
4-dimensional branes, which are considered as models for dynamical space-time.
We review recent progress in the understanding of this emergent gravity. The
metric is not fundamental but arises effectively in the semi-classical limit,
along with nonabelian gauge fields. This leads to a mechanism for protecting
certain geometries from corrections due to the vacuum energy.
|
[
{
"created": "Thu, 5 Mar 2009 15:06:47 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Mar 2009 16:12:46 GMT",
"version": "v2"
}
] |
2009-07-24
|
[
[
"Steinacker",
"Harold",
""
]
] |
Matrix models of Yang-Mills type induce an effective gravity theory on 4-dimensional branes, which are considered as models for dynamical space-time. We review recent progress in the understanding of this emergent gravity. The metric is not fundamental but arises effectively in the semi-classical limit, along with nonabelian gauge fields. This leads to a mechanism for protecting certain geometries from corrections due to the vacuum energy.
|
1103.3675
|
Andrea Mauri
|
Marco S. Bianchi, Matias Leoni, Andrea Mauri, Silvia Penati,
CarloAlberto Ratti and Alberto Santambrogio
|
From Correlators to Wilson Loops in Chern-Simons Matter Theories
|
32 pages, 6 figures, JHEP3
| null |
10.1007/JHEP06(2011)118
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study n-point correlation functions for chiral primary operators in three
dimensional supersymmetric Chern-Simons matter theories. Our analysis is
carried on in N=2 superspace and covers N=2,3 supersymmetric CFT's, the N=6
ABJM and the N=8 BLG models. In the limit where the positions of adjacent
operators become light-like, we find that the one-loop n-point correlator
divided by its tree level expression coincides with a light-like n-polygon
Wilson loop. Remarkably, the result can be simply expressed as a linear
combination of five dimensional two-mass easy boxes. We manage to evaluate the
integrals analytically and find a vanishing result, in agreement with previous
findings for Wilson loops.
|
[
{
"created": "Fri, 18 Mar 2011 17:44:47 GMT",
"version": "v1"
}
] |
2015-05-27
|
[
[
"Bianchi",
"Marco S.",
""
],
[
"Leoni",
"Matias",
""
],
[
"Mauri",
"Andrea",
""
],
[
"Penati",
"Silvia",
""
],
[
"Ratti",
"CarloAlberto",
""
],
[
"Santambrogio",
"Alberto",
""
]
] |
We study n-point correlation functions for chiral primary operators in three dimensional supersymmetric Chern-Simons matter theories. Our analysis is carried on in N=2 superspace and covers N=2,3 supersymmetric CFT's, the N=6 ABJM and the N=8 BLG models. In the limit where the positions of adjacent operators become light-like, we find that the one-loop n-point correlator divided by its tree level expression coincides with a light-like n-polygon Wilson loop. Remarkably, the result can be simply expressed as a linear combination of five dimensional two-mass easy boxes. We manage to evaluate the integrals analytically and find a vanishing result, in agreement with previous findings for Wilson loops.
|
1602.07975
|
Olivera Miskovic
|
Rene Araneda, Rodrigo Aros, Olivera Miskovic, Rodrigo Olea
|
Magnetic Mass in 4D AdS Gravity
|
21 pages, no figures; one reference added; final version for PRD
|
Phys. Rev. D 93, 084022 (2016)
|
10.1103/PhysRevD.93.084022
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We provide a fully-covariant expression for the diffeomorphic charge in 4D
anti-de Sitter gravity, when the Gauss-Bonnet and Pontryagin terms are added to
the action. The couplings of these topological invariants are such that the
Weyl tensor and its dual appear in the on-shell variation of the action, and
such that the action is stationary for asymptotic (anti) self-dual solutions in
the Weyl tensor. In analogy with Euclidean electromagnetism, whenever the
self-duality condition is global, both the action and the total charge are
identically vanishing. Therefore, for such configurations the magnetic mass
equals the Ashtekhar-Magnon-Das definition.
|
[
{
"created": "Thu, 25 Feb 2016 16:08:04 GMT",
"version": "v1"
},
{
"created": "Sun, 17 Apr 2016 18:50:25 GMT",
"version": "v2"
}
] |
2016-04-19
|
[
[
"Araneda",
"Rene",
""
],
[
"Aros",
"Rodrigo",
""
],
[
"Miskovic",
"Olivera",
""
],
[
"Olea",
"Rodrigo",
""
]
] |
We provide a fully-covariant expression for the diffeomorphic charge in 4D anti-de Sitter gravity, when the Gauss-Bonnet and Pontryagin terms are added to the action. The couplings of these topological invariants are such that the Weyl tensor and its dual appear in the on-shell variation of the action, and such that the action is stationary for asymptotic (anti) self-dual solutions in the Weyl tensor. In analogy with Euclidean electromagnetism, whenever the self-duality condition is global, both the action and the total charge are identically vanishing. Therefore, for such configurations the magnetic mass equals the Ashtekhar-Magnon-Das definition.
|
hep-th/9303126
| null |
E. Elizalde, S. Leseduarte and S. Zerbini
|
Mellin Transform Techniques for Zeta-Function Resummations
|
26 pages, LaTeX file, UB-ECM-PF 92/7
| null | null | null |
hep-th
| null |
Making use of inverse Mellin transform techniques for analytical
continuation, an elegant proof and an extension of the zeta function
regularization theorem is obtained. No series commutations are involved in the
procedure; nevertheless the result is naturally split into the same three
contributions of very different nature, i.e. the series of Riemann zeta
functions and the power and negative exponentially behaved functions,
respectively, well known from the original proof. The new theorem deals equally
well with elliptic differential operators whose spectrum is not explicitly
known. Rigorous results on the asymptoticity of the outcoming series are given,
together with some specific examples. Exact analytical formulas, simplifying
approximations and numerical estimates for the last of the three contributions
(the most difficult to handle) are obtained. As an application of the method,
the summation of the series which appear in the analytic computation (for
different ranges of temperature) of the partition function of the string
---basic in order to ascertain if QCD is some limit of a string theory--- is
PERFORMED.
|
[
{
"created": "Tue, 23 Mar 1993 15:53:45 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Elizalde",
"E.",
""
],
[
"Leseduarte",
"S.",
""
],
[
"Zerbini",
"S.",
""
]
] |
Making use of inverse Mellin transform techniques for analytical continuation, an elegant proof and an extension of the zeta function regularization theorem is obtained. No series commutations are involved in the procedure; nevertheless the result is naturally split into the same three contributions of very different nature, i.e. the series of Riemann zeta functions and the power and negative exponentially behaved functions, respectively, well known from the original proof. The new theorem deals equally well with elliptic differential operators whose spectrum is not explicitly known. Rigorous results on the asymptoticity of the outcoming series are given, together with some specific examples. Exact analytical formulas, simplifying approximations and numerical estimates for the last of the three contributions (the most difficult to handle) are obtained. As an application of the method, the summation of the series which appear in the analytic computation (for different ranges of temperature) of the partition function of the string ---basic in order to ascertain if QCD is some limit of a string theory--- is PERFORMED.
|
2002.08368
|
Anatoly Dymarsky
|
Anatoly Dymarsky and Sotaro Sugishita
|
KdV-charged black holes
|
30 pages, 4 figures
|
JHEP05(2020)041
|
10.1007/JHEP05(2020)041
| null |
hep-th cond-mat.stat-mech math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct black hole geometries in AdS$_3$ with non-trivial values of KdV
charges. The black holes are holographically dual to quantum KdV Generalized
Gibbs Ensemble in 2d CFT. They satisfy thermodynamic identity and thus are
saddle point configurations of the Euclidean gravity path integral. We discuss
holographic calculation of the KdV generalized partition function and show that
for a certain value of chemical potentials new geometries, not the conventional
BTZ ones, are the leading saddles.
|
[
{
"created": "Wed, 19 Feb 2020 19:00:00 GMT",
"version": "v1"
}
] |
2020-06-11
|
[
[
"Dymarsky",
"Anatoly",
""
],
[
"Sugishita",
"Sotaro",
""
]
] |
We construct black hole geometries in AdS$_3$ with non-trivial values of KdV charges. The black holes are holographically dual to quantum KdV Generalized Gibbs Ensemble in 2d CFT. They satisfy thermodynamic identity and thus are saddle point configurations of the Euclidean gravity path integral. We discuss holographic calculation of the KdV generalized partition function and show that for a certain value of chemical potentials new geometries, not the conventional BTZ ones, are the leading saddles.
|
0805.2347
|
Stephen G. Naculich
|
Stephen G. Naculich, Horatiu Nastase, Howard J. Schnitzer
|
Two-loop graviton scattering relation and IR behavior in N=8
supergravity
|
19 pages; v2: reference added; v3, published version: slight change
in conventions, minor comments, added reference
|
Nucl.Phys.B805:40-58,2008
|
10.1016/j.nuclphysb.2008.07.001
|
BRX-TH-595, BOW-PH-142, TIT/HEP-582
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive an ABDK-like relation between the one- and two-loop four-graviton
amplitudes in N=8 supergravity. Specifically we show that the infrared
divergent part of the two-loop amplitude is one-half the square of the one-loop
amplitude, suggesting an exponential structure for IR divergences. The
difference between the two-loop amplitude and one-half the square of the full
one-loop amplitude is therefore finite, and expressible in a relatively simple
form. We give arguments for generalizations to higher loops and n-point
functions, suggesting that the exponential of the full one-loop amplitude may
be corrected, to low orders, by only simple finite terms.
|
[
{
"created": "Thu, 15 May 2008 16:04:36 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Jun 2008 17:28:37 GMT",
"version": "v2"
},
{
"created": "Fri, 29 Aug 2008 21:08:11 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Naculich",
"Stephen G.",
""
],
[
"Nastase",
"Horatiu",
""
],
[
"Schnitzer",
"Howard J.",
""
]
] |
We derive an ABDK-like relation between the one- and two-loop four-graviton amplitudes in N=8 supergravity. Specifically we show that the infrared divergent part of the two-loop amplitude is one-half the square of the one-loop amplitude, suggesting an exponential structure for IR divergences. The difference between the two-loop amplitude and one-half the square of the full one-loop amplitude is therefore finite, and expressible in a relatively simple form. We give arguments for generalizations to higher loops and n-point functions, suggesting that the exponential of the full one-loop amplitude may be corrected, to low orders, by only simple finite terms.
|
hep-th/9605028
|
Constantin Bachas
|
C. Bachas and C. Fabre ( CPTH, Ecole Polytechnique )
|
Threshold effects in open-string theory
|
25 pages, latex. Extra references and minor comments
|
Nucl.Phys. B476 (1996) 418-436
|
10.1016/0550-3213(96)00332-X
|
CPTH-S450.0496
|
hep-th
| null |
We analyze the one-loop effective gauge-field action in $Z_2$-orbifold
compactifications of type-I theory. We show how, for non-abelian group factors,
the threshold effects are ultraviolet finite though given entirely by a
six-dimensional field theory expression.
|
[
{
"created": "Sun, 5 May 1996 18:11:02 GMT",
"version": "v1"
},
{
"created": "Tue, 14 May 1996 16:04:20 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Bachas",
"C.",
"",
"CPTH, Ecole Polytechnique"
],
[
"Fabre",
"C.",
"",
"CPTH, Ecole Polytechnique"
]
] |
We analyze the one-loop effective gauge-field action in $Z_2$-orbifold compactifications of type-I theory. We show how, for non-abelian group factors, the threshold effects are ultraviolet finite though given entirely by a six-dimensional field theory expression.
|
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