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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0903.1520
|
Mairi Sakellariadou
|
William Nelson, Mairi Sakellariadou
|
Natural inflation mechanism in asymptotic noncommutative geometry
|
5 pages. Modified extended version
|
Phys.Lett.B680:263-266,2009
|
10.1016/j.physletb.2009.08.059
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The possibility of having an inflationary epoch within a noncommutative
geometry approach to unifying gravity and the standard model is demonstrated.
This inflationary phase occurs without the need to introduce "ad hoc"
additional fields or potentials, rather it is a consequence of a nonminimal
coupling between the geometry and the Higgs field.
|
[
{
"created": "Mon, 9 Mar 2009 10:52:07 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Jun 2009 15:56:39 GMT",
"version": "v2"
}
] |
2010-01-26
|
[
[
"Nelson",
"William",
""
],
[
"Sakellariadou",
"Mairi",
""
]
] |
The possibility of having an inflationary epoch within a noncommutative geometry approach to unifying gravity and the standard model is demonstrated. This inflationary phase occurs without the need to introduce "ad hoc" additional fields or potentials, rather it is a consequence of a nonminimal coupling between the geometry and the Higgs field.
|
1610.03033
|
Karthik Inbasekar
|
Bidisha Chakrabarty, Karthik Inbasekar, Rickmoy Samanta
|
On the Supersymmetry of Bianchi attractors in Gauged supergravity
|
40 pages + 23 pages Appendices, V2 added references, fixed typos; V3
added references, minor clarifications,V4 added new section on tensor and
hypermultiplets, revtex format
|
Phys. Rev. D 96, 066020 (2017)
|
10.1103/PhysRevD.96.066020
|
IP/BBSR/2016-10 , TIFR/TH/16-39 , TAUP-3011/16
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Bianchi attractors are near horizon geometries with homogeneous symmetries in
the spatial directions. We construct supersymmetric Bianchi attractors in
$\mathcal{N}=2, d=4,5$ gauged supergravity. In $d=4$ we consider gauged
supergravity coupled to vector and hypermultiplets. In $d=5$ we consider gauged
supergravity coupled to vector multiplets with a generic gauging of symmetries
of the scalar manifold and the $U(1)_R$ gauging of the $R$-symmetry. Analyzing
the gaugino conditions we show that when the fermionic shifts do not vanish
there are no supersymmetric Bianchi attractors. This is analogous to the known
condition that for maximally supersymmetric solutions, all the fermionic shifts
must vanish. When the central charge satisfies an extremization condition, some
of the fermionic shifts vanish and supersymmetry requires that the symmetries
of the scalar manifold do not be gauged. This allows supersymmetric Bianchi
attractors sourced by massless gauge fields and a cosmological constant. In
five dimensions in the Bianchi I class we show that the anisotropic
$AdS_3\times\mathbb{R}^2$ solution is $1/2$ BPS. We also construct a new class
of $1/2$ BPS Bianchi III geometries labeled by the central charge. When the
central charge takes a special value the Bianchi III geometry reduces to the
known $AdS_3\times\mathbb{H}^2$ solution. For the Bianchi V and VII classes the
radial spinor breaks all of supersymmetry. We briefly discuss the conditions
for possible massive supersymmetric Bianchi solutions by generalizing the
matter content to include tensor, hypermultiplets and a generic gauging on the
R symmetry.
|
[
{
"created": "Mon, 10 Oct 2016 19:14:50 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Oct 2016 17:20:17 GMT",
"version": "v2"
},
{
"created": "Mon, 23 Jan 2017 13:34:24 GMT",
"version": "v3"
},
{
"created": "Sun, 21 May 2017 17:47:33 GMT",
"version": "v4"
}
] |
2017-09-27
|
[
[
"Chakrabarty",
"Bidisha",
""
],
[
"Inbasekar",
"Karthik",
""
],
[
"Samanta",
"Rickmoy",
""
]
] |
Bianchi attractors are near horizon geometries with homogeneous symmetries in the spatial directions. We construct supersymmetric Bianchi attractors in $\mathcal{N}=2, d=4,5$ gauged supergravity. In $d=4$ we consider gauged supergravity coupled to vector and hypermultiplets. In $d=5$ we consider gauged supergravity coupled to vector multiplets with a generic gauging of symmetries of the scalar manifold and the $U(1)_R$ gauging of the $R$-symmetry. Analyzing the gaugino conditions we show that when the fermionic shifts do not vanish there are no supersymmetric Bianchi attractors. This is analogous to the known condition that for maximally supersymmetric solutions, all the fermionic shifts must vanish. When the central charge satisfies an extremization condition, some of the fermionic shifts vanish and supersymmetry requires that the symmetries of the scalar manifold do not be gauged. This allows supersymmetric Bianchi attractors sourced by massless gauge fields and a cosmological constant. In five dimensions in the Bianchi I class we show that the anisotropic $AdS_3\times\mathbb{R}^2$ solution is $1/2$ BPS. We also construct a new class of $1/2$ BPS Bianchi III geometries labeled by the central charge. When the central charge takes a special value the Bianchi III geometry reduces to the known $AdS_3\times\mathbb{H}^2$ solution. For the Bianchi V and VII classes the radial spinor breaks all of supersymmetry. We briefly discuss the conditions for possible massive supersymmetric Bianchi solutions by generalizing the matter content to include tensor, hypermultiplets and a generic gauging on the R symmetry.
|
hep-th/9606038
|
Patrick McGraw
|
Patrick McGraw (California Inst. of Technology)
|
Mean Field Theory for Fermion-based U(2) Anyons
|
18 pages, 4 figures, macros included
| null | null |
CALT-68-2058
|
hep-th
| null |
The energy density is computed for a U(2) Chern-Simons theory coupled to a
non-relativistic fermion field (a theory of ``non-Abelian anyons'') under the
assumptions of uniform charge and matter density. When the matter field is a
spinless fermion, we find that this energy is independent of the two
Chern-Simons coupling constants and is minimized when the non-Abelian charge
density is zero. This suggests that there is no spontaneous breaking of the
SU(2) subgroup of the symmetry, at least in this mean-field approximation. For
spin-1/2 fermions, we find self-consistent mean-field states with a small
non-Abelian charge density, which vanishes as the theory of free fermions is
approached.
|
[
{
"created": "Mon, 10 Jun 1996 04:36:57 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"McGraw",
"Patrick",
"",
"California Inst. of Technology"
]
] |
The energy density is computed for a U(2) Chern-Simons theory coupled to a non-relativistic fermion field (a theory of ``non-Abelian anyons'') under the assumptions of uniform charge and matter density. When the matter field is a spinless fermion, we find that this energy is independent of the two Chern-Simons coupling constants and is minimized when the non-Abelian charge density is zero. This suggests that there is no spontaneous breaking of the SU(2) subgroup of the symmetry, at least in this mean-field approximation. For spin-1/2 fermions, we find self-consistent mean-field states with a small non-Abelian charge density, which vanishes as the theory of free fermions is approached.
|
1910.08436
|
Ivo Petr
|
Ladislav Hlavat\'y and Ivo Petr
|
Poisson-Lie plurals of Bianchi cosmologies and Generalized Supergravity
Equations
|
v3 - published version
| null |
10.1007/JHEP04(2020)068
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Poisson-Lie T-duality and plurality are important solution generating
techniques in string theory and (generalized) supergravity. Since
duality/plurality does not preserve conformal invariance, the usual beta
function equations are replaced by Generalized Supergravity Equations
containing vector $\mathcal{J}$. In this paper we apply Poisson-Lie T-plurality
on Bianchi cosmologies. We present a formula for the vector $\mathcal{J}$ as
well as transformation rule for dilaton, and show that plural backgrounds
together with this dilaton and $\mathcal{J}$ satisfy the Generalized
Supergravity Equations. The procedure is valid also for non-local dilaton and
non-constant $\mathcal{J}$. We also show that $Div\,\Theta$ of the
non-commutative structure $\Theta$ used for non-Abelian T-duality or integrable
deformations does not give correct $\mathcal{J}$ for Poisson-Lie T-plurality.
|
[
{
"created": "Fri, 18 Oct 2019 14:29:31 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Nov 2019 10:11:10 GMT",
"version": "v2"
},
{
"created": "Wed, 15 Apr 2020 13:00:34 GMT",
"version": "v3"
}
] |
2020-04-16
|
[
[
"Hlavatý",
"Ladislav",
""
],
[
"Petr",
"Ivo",
""
]
] |
Poisson-Lie T-duality and plurality are important solution generating techniques in string theory and (generalized) supergravity. Since duality/plurality does not preserve conformal invariance, the usual beta function equations are replaced by Generalized Supergravity Equations containing vector $\mathcal{J}$. In this paper we apply Poisson-Lie T-plurality on Bianchi cosmologies. We present a formula for the vector $\mathcal{J}$ as well as transformation rule for dilaton, and show that plural backgrounds together with this dilaton and $\mathcal{J}$ satisfy the Generalized Supergravity Equations. The procedure is valid also for non-local dilaton and non-constant $\mathcal{J}$. We also show that $Div\,\Theta$ of the non-commutative structure $\Theta$ used for non-Abelian T-duality or integrable deformations does not give correct $\mathcal{J}$ for Poisson-Lie T-plurality.
|
0807.0902
|
Dmitri Diakonov
|
Dmitri Diakonov (St. Petersburg NPI)
|
Statistical physics of dyons and confinement
|
Lectures at the Cracow School of Theoretical Physics, June 13-22,
2008, Zakopane, Poland; 30 p., 2 figs
|
Acta Phys.Polon.B39:3365-3393,2008
| null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a semiclassical description of the SU(N) Yang--Mills theory whose
partition function at nonzero temperatures is approximated by that of an
ensemble of N kinds of interacting dyons. The ensemble is mathematically
described by an exactly solvable 3d quantum field theory, allowing calculation
of correlations functions relevant to confinement. We show that all known
criteria of confinement are satisfied in this semiclassical approximation: (i)
the average Polyakov line is zero below some critical temperature, and nonzero
above it, (ii) static quarks in any nonzero N-ality representation have linear
rising potential energy, (iii) the average spatial Wilson loop falls off
exponentially with the area, (iv) N^2 gluons are canceled out from the
spectrum, (v) the critical temperature is in good agreement with lattice data.
|
[
{
"created": "Sun, 6 Jul 2008 14:00:30 GMT",
"version": "v1"
}
] |
2010-03-19
|
[
[
"Diakonov",
"Dmitri",
"",
"St. Petersburg NPI"
]
] |
We present a semiclassical description of the SU(N) Yang--Mills theory whose partition function at nonzero temperatures is approximated by that of an ensemble of N kinds of interacting dyons. The ensemble is mathematically described by an exactly solvable 3d quantum field theory, allowing calculation of correlations functions relevant to confinement. We show that all known criteria of confinement are satisfied in this semiclassical approximation: (i) the average Polyakov line is zero below some critical temperature, and nonzero above it, (ii) static quarks in any nonzero N-ality representation have linear rising potential energy, (iii) the average spatial Wilson loop falls off exponentially with the area, (iv) N^2 gluons are canceled out from the spectrum, (v) the critical temperature is in good agreement with lattice data.
|
2404.19029
|
Davood Momeni Dr
|
Davood Momeni
|
Unveiling Novel Insights in Quantum Dynamics through Extended
Sachdev-Ye-Kitaev Model
|
43 pages, two References added
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
Inspired by recent developments in the study of the model of double scaled
SYK (DSSYK), as elucidated in a recent paper, we embark on a re-evaluation of
the Sachdev-Ye-Kitaev (SYK) model. Our motivation stems from the insights
gained from the DSSYK model, particularly its ability to capture essential
features of quantum dynamics and gravitational effects. In this work, we delve
into the SYK model, uncovering precise solutions for the two-point function and
self-energy that have not been previously reported. Building upon the
advancements made in particle physics phenomenology, we extend the SYK model to
encompass tensor field theory. Through the incorporation of a cutoff term to
ensure convergence, we substantially advance our understanding of quantum
many-body physics. Our investigation extends to experimental parameter
estimation and the exploration of cutoff dependency in random couplings,
providing invaluable insights into system dynamics. The introduction of a novel
tensor field theory replaces conventional fermionic degrees of freedom with
tensorial counterparts, leading to the discovery of intriguing phase transition
phenomena characterized by a first-order transition. Furthermore, we elucidate
a direct linear relationship between the coupling parameter and the cutoff
scale. These findings not only shed light on emergent behavior across both
high-energy physics and condensed matter systems but also pave the way for
further theoretical and experimental exploration, inspired by the recent
advancements in the SYK model.
|
[
{
"created": "Mon, 29 Apr 2024 18:15:30 GMT",
"version": "v1"
},
{
"created": "Thu, 9 May 2024 16:50:06 GMT",
"version": "v2"
}
] |
2024-05-10
|
[
[
"Momeni",
"Davood",
""
]
] |
Inspired by recent developments in the study of the model of double scaled SYK (DSSYK), as elucidated in a recent paper, we embark on a re-evaluation of the Sachdev-Ye-Kitaev (SYK) model. Our motivation stems from the insights gained from the DSSYK model, particularly its ability to capture essential features of quantum dynamics and gravitational effects. In this work, we delve into the SYK model, uncovering precise solutions for the two-point function and self-energy that have not been previously reported. Building upon the advancements made in particle physics phenomenology, we extend the SYK model to encompass tensor field theory. Through the incorporation of a cutoff term to ensure convergence, we substantially advance our understanding of quantum many-body physics. Our investigation extends to experimental parameter estimation and the exploration of cutoff dependency in random couplings, providing invaluable insights into system dynamics. The introduction of a novel tensor field theory replaces conventional fermionic degrees of freedom with tensorial counterparts, leading to the discovery of intriguing phase transition phenomena characterized by a first-order transition. Furthermore, we elucidate a direct linear relationship between the coupling parameter and the cutoff scale. These findings not only shed light on emergent behavior across both high-energy physics and condensed matter systems but also pave the way for further theoretical and experimental exploration, inspired by the recent advancements in the SYK model.
|
1001.3027
|
Burkhard Kleihaus
|
Rustam Ibadov, Burkhard Kleihaus, Jutta Kunz and Michael Leissner
|
Rotating Electroweak Sphaleron-Antisphaleron Systems
|
11 pages, 5 figures
| null |
10.1016/j.physletb.2010.02.058
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
At finite weak mixing angle the sphaleron solution of Weinberg-Salam theory
can be endowed with angular momentum proportional to the electric charge. Here
we show, that this holds also for sphaleron-antisphaleron systems such as
pairs, chains and vortex rings. We also address the equilibrium conditions for
these solutions.
|
[
{
"created": "Mon, 18 Jan 2010 11:42:23 GMT",
"version": "v1"
}
] |
2015-05-18
|
[
[
"Ibadov",
"Rustam",
""
],
[
"Kleihaus",
"Burkhard",
""
],
[
"Kunz",
"Jutta",
""
],
[
"Leissner",
"Michael",
""
]
] |
At finite weak mixing angle the sphaleron solution of Weinberg-Salam theory can be endowed with angular momentum proportional to the electric charge. Here we show, that this holds also for sphaleron-antisphaleron systems such as pairs, chains and vortex rings. We also address the equilibrium conditions for these solutions.
|
hep-th/0106216
|
Philippe Pouliot
|
Philippe Pouliot
|
Quantum Determinism for Free Vector Bosons in 3 Dimensions
|
8 pages, no figures
|
JHEP 0111:028,2001
|
10.1088/1126-6708/2001/11/028
|
UTTG-08-01
|
hep-th
| null |
We apply 't Hooft's deterministic quantum mechanics approach to free vector
bosons in three dimensions and check Lorentz invariance. This approach does not
work for the conformal group, for free bosons in two dimensions. This presents
a technical difficulty for constructing a ``deterministic string theory''.
|
[
{
"created": "Sun, 24 Jun 2001 20:40:03 GMT",
"version": "v1"
}
] |
2010-02-03
|
[
[
"Pouliot",
"Philippe",
""
]
] |
We apply 't Hooft's deterministic quantum mechanics approach to free vector bosons in three dimensions and check Lorentz invariance. This approach does not work for the conformal group, for free bosons in two dimensions. This presents a technical difficulty for constructing a ``deterministic string theory''.
|
hep-th/0606086
|
Toby Wiseman
|
Matthew Headrick, Toby Wiseman
|
Ricci flow and black holes
|
31 pages, 14 color figures. v2: Discussion of the metric on the space
of metrics corrected and expanded, references added
|
Class.Quant.Grav.23:6683-6708,2006
|
10.1088/0264-9381/23/23/006
| null |
hep-th gr-qc math.DG
| null |
Gradient flow in a potential energy (or Euclidean action) landscape provides
a natural set of paths connecting different saddle points. We apply this method
to General Relativity, where gradient flow is Ricci flow, and focus on the
example of 4-dimensional Euclidean gravity with boundary S^1 x S^2,
representing the canonical ensemble for gravity in a box. At high temperature
the action has three saddle points: hot flat space and a large and small black
hole. Adding a time direction, these also give static 5-dimensional
Kaluza-Klein solutions, whose potential energy equals the 4-dimensional action.
The small black hole has a Gross-Perry-Yaffe-type negative mode, and is
therefore unstable under Ricci flow. We numerically simulate the two flows
seeded by this mode, finding that they lead to the large black hole and to hot
flat space respectively, in the latter case via a topology-changing
singularity. In the context of string theory these flows are world-sheet
renormalization group trajectories. We also use them to construct a novel free
energy diagram for the canonical ensemble.
|
[
{
"created": "Fri, 9 Jun 2006 19:13:38 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Jul 2006 15:08:39 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Headrick",
"Matthew",
""
],
[
"Wiseman",
"Toby",
""
]
] |
Gradient flow in a potential energy (or Euclidean action) landscape provides a natural set of paths connecting different saddle points. We apply this method to General Relativity, where gradient flow is Ricci flow, and focus on the example of 4-dimensional Euclidean gravity with boundary S^1 x S^2, representing the canonical ensemble for gravity in a box. At high temperature the action has three saddle points: hot flat space and a large and small black hole. Adding a time direction, these also give static 5-dimensional Kaluza-Klein solutions, whose potential energy equals the 4-dimensional action. The small black hole has a Gross-Perry-Yaffe-type negative mode, and is therefore unstable under Ricci flow. We numerically simulate the two flows seeded by this mode, finding that they lead to the large black hole and to hot flat space respectively, in the latter case via a topology-changing singularity. In the context of string theory these flows are world-sheet renormalization group trajectories. We also use them to construct a novel free energy diagram for the canonical ensemble.
|
hep-th/9701109
| null |
C.R. Fernandez-Pousa, M.V. Gallas, T.J. Hollowood, and J.L. Miramontes
|
Solitonic Integrable Perturbations of Parafermionic Theories
|
18 pages, plain TeX, no figures
|
Nucl.Phys.B499:673-689,1997
|
10.1016/S0550-3213(97)00356-8
|
US-FT/44-96 and SWAT/138
|
hep-th nlin.SI solv-int
| null |
The quantum integrability of a class of massive perturbations of the
parafermionic conformal field theories associated to compact Lie groups is
established by showing that they have quantum conserved densities of scale
dimension 2 and 3. These theories are integrable for any value of a continuous
vector coupling constant, and they generalize the perturbation of the minimal
parafermionic models by their first thermal operator. The classical
equations-of-motion of these perturbed theories are the non-abelian affine Toda
equations which admit (charged) soliton solutions whose semi-classical
quantization is expected to permit the identification of the exact S-matrix of
the theory.
|
[
{
"created": "Tue, 21 Jan 1997 19:17:39 GMT",
"version": "v1"
}
] |
2010-12-17
|
[
[
"Fernandez-Pousa",
"C. R.",
""
],
[
"Gallas",
"M. V.",
""
],
[
"Hollowood",
"T. J.",
""
],
[
"Miramontes",
"J. L.",
""
]
] |
The quantum integrability of a class of massive perturbations of the parafermionic conformal field theories associated to compact Lie groups is established by showing that they have quantum conserved densities of scale dimension 2 and 3. These theories are integrable for any value of a continuous vector coupling constant, and they generalize the perturbation of the minimal parafermionic models by their first thermal operator. The classical equations-of-motion of these perturbed theories are the non-abelian affine Toda equations which admit (charged) soliton solutions whose semi-classical quantization is expected to permit the identification of the exact S-matrix of the theory.
|
1108.3031
|
Gungwon Kang
|
Youngone Lee, Gungwon Kang, Hyeong-Chan Kim and Jungjai Lee
|
String or branelike solutions in four-dimensional Einstein gravity in
the presence of cosmological constant
|
17 pages, 6 figures, several references added, minor corrections in
wordings and typos
| null |
10.1103/PhysRevD.84.084042
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate string or branelike solutions for four-dimensional vacuum
Einstein equations in the presence of cosmological constant. For the case of
negative cosmological constant, the Banados-Teitelboim-Zanelli black string is
the only warped stringlike solution. The general solutions for nonwarped
branelike configurations are found and they are characterized by the
Arnowitt-Deser-Misner mass density and two tensions. Interestingly, the sum of
these tensions is equal to the minus of the mass density. Other than the
well-known black string and soliton spacetimes, all the static solutions
possess naked singularities. The time-dependent solutions can be regarded as
the anti-de Sitter extension of the well-known Kasner solutions. The speciality
of those static regular solutions and the implication of singular solutions are
also discussed in the context of cylindrical matter collapse. For the case of
positive cosmological constant, the Kasner-de Sitter spacetime appears as
time-dependent solutions and all static solutions are found to be naked
singular.
|
[
{
"created": "Mon, 15 Aug 2011 16:42:56 GMT",
"version": "v1"
},
{
"created": "Sat, 15 Oct 2011 09:29:44 GMT",
"version": "v2"
}
] |
2013-05-29
|
[
[
"Lee",
"Youngone",
""
],
[
"Kang",
"Gungwon",
""
],
[
"Kim",
"Hyeong-Chan",
""
],
[
"Lee",
"Jungjai",
""
]
] |
We investigate string or branelike solutions for four-dimensional vacuum Einstein equations in the presence of cosmological constant. For the case of negative cosmological constant, the Banados-Teitelboim-Zanelli black string is the only warped stringlike solution. The general solutions for nonwarped branelike configurations are found and they are characterized by the Arnowitt-Deser-Misner mass density and two tensions. Interestingly, the sum of these tensions is equal to the minus of the mass density. Other than the well-known black string and soliton spacetimes, all the static solutions possess naked singularities. The time-dependent solutions can be regarded as the anti-de Sitter extension of the well-known Kasner solutions. The speciality of those static regular solutions and the implication of singular solutions are also discussed in the context of cylindrical matter collapse. For the case of positive cosmological constant, the Kasner-de Sitter spacetime appears as time-dependent solutions and all static solutions are found to be naked singular.
|
hep-th/9411232
| null |
N. Nakazawa
|
On Field Theories of Loops
|
14 pages, LaTex, final version to be published in Modern Physics
Letters A
|
Mod.Phys.Lett. A10 (1995) 2175
|
10.1142/S0217732395002337
|
NBI-HE-94-54
|
hep-th
| null |
We apply stochastic quantization method to matrix models for the second
quantization of loops in both discretized and continuum levels. The fictitious
time evolution described by the Langevin equation is interpreted as the time
evolution in a field theory of loops. The corresponding Fokker-Planck
hamiltonian defines a non-critical string field theory. We study both
orientable and non-orientable interactions of loops in terms of matrix models
and take the continuum limit for one-matrix case. As a consequence, we show the
equivalence of stochastic quantization of matrix models in loop space to the
transfer-matrix formalism in dynamical triangulation of random surfaces. We
also clarifies the origin of Virasoro algebra in this context.
|
[
{
"created": "Wed, 30 Nov 1994 17:41:46 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Aug 1995 06:56:50 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Nakazawa",
"N.",
""
]
] |
We apply stochastic quantization method to matrix models for the second quantization of loops in both discretized and continuum levels. The fictitious time evolution described by the Langevin equation is interpreted as the time evolution in a field theory of loops. The corresponding Fokker-Planck hamiltonian defines a non-critical string field theory. We study both orientable and non-orientable interactions of loops in terms of matrix models and take the continuum limit for one-matrix case. As a consequence, we show the equivalence of stochastic quantization of matrix models in loop space to the transfer-matrix formalism in dynamical triangulation of random surfaces. We also clarifies the origin of Virasoro algebra in this context.
|
hep-th/9703118
|
Jorge Russo
|
J.G. Russo
|
BPS bound states, supermembranes, and T-duality in M-theory
|
Expanded; additional equations and explanations, added figure on
T-duality on 2-torus and a correction in figure 2. Latex, 42 pages. Lectures
given at the APCTP Winter School "Dualities of Gauge and String Theories",
Korea, February 1997
| null |
10.1142/9789814447287_0005
|
Imperial/TP/96-97/38
|
hep-th
| null |
This is an introductory review on the eleven-dimensional description of the
BPS bound states of type II superstring theories, and on the role of
supermembranes in M-theory. The first part describes classical solutions of 11d
supergravity which upon dimensional reduction and T-dualities give bound states
of NS-NS and R-R p-branes of type IIA and IIB string theories. In some cases
(e.g. (q_1,q_2) string bound states of type IIB string theory), these
non-perturbative objects admit a simple eleven-dimensional description in terms
of a fundamental 2-brane. The BPS excitations of such 2-brane are calculated
and shown to exactly match the mass spectrum for the BPS (q_1,q_2) string bound
states. Different 11d representations of the same bound state can be used to
provide inequivalent (T-dual) descriptions of the oscillating BPS states. This
permits to test T-duality beyond perturbation theory and, in certain cases, to
evade membrane instabilities by going to a stable T-dual representation. We
finally summarize the results indicating in what regions of the modular
parameter space a supermembrane description for M-theory on R^9 x T^2 seems to
be adequate.
|
[
{
"created": "Mon, 17 Mar 1997 11:20:00 GMT",
"version": "v1"
},
{
"created": "Sun, 23 Mar 1997 11:02:33 GMT",
"version": "v2"
}
] |
2016-11-03
|
[
[
"Russo",
"J. G.",
""
]
] |
This is an introductory review on the eleven-dimensional description of the BPS bound states of type II superstring theories, and on the role of supermembranes in M-theory. The first part describes classical solutions of 11d supergravity which upon dimensional reduction and T-dualities give bound states of NS-NS and R-R p-branes of type IIA and IIB string theories. In some cases (e.g. (q_1,q_2) string bound states of type IIB string theory), these non-perturbative objects admit a simple eleven-dimensional description in terms of a fundamental 2-brane. The BPS excitations of such 2-brane are calculated and shown to exactly match the mass spectrum for the BPS (q_1,q_2) string bound states. Different 11d representations of the same bound state can be used to provide inequivalent (T-dual) descriptions of the oscillating BPS states. This permits to test T-duality beyond perturbation theory and, in certain cases, to evade membrane instabilities by going to a stable T-dual representation. We finally summarize the results indicating in what regions of the modular parameter space a supermembrane description for M-theory on R^9 x T^2 seems to be adequate.
|
hep-th/9603153
|
Patrick McGraw
|
Patrick McGraw
|
Dynamical Simulation of Non-Abelian Cosmic Strings
|
53 pages, 28 figures, uses epsf, phyzzx macros included
| null | null |
CALT-68-2044
|
hep-th
| null |
We describe a method for simulating the dynamics of an $S_3$ cosmic string
network. We use a lattice Monte Carlo to generate initial conditions for the
network, which subsequently is allowed to relax continuously according to a
simplified model of string dynamics. The dynamics incorporates some novel
features which, to our knowledge, have not been studied in previous numerical
simulations: The existence of two types of string which may have different
tensions, and the possibility that two non-commuting strings may intersect.
Simulation of the non-commuting fluxes presents a computational challenge as it
requires a rather complex gauge-fixing procedure. The flux definitions change
as strings change their positions and orientations relative to each other and
must be carefully updated as the network evolves. The method is described here
in some detail, with results to be presented elsewhere.
|
[
{
"created": "Sat, 23 Mar 1996 22:54:31 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"McGraw",
"Patrick",
""
]
] |
We describe a method for simulating the dynamics of an $S_3$ cosmic string network. We use a lattice Monte Carlo to generate initial conditions for the network, which subsequently is allowed to relax continuously according to a simplified model of string dynamics. The dynamics incorporates some novel features which, to our knowledge, have not been studied in previous numerical simulations: The existence of two types of string which may have different tensions, and the possibility that two non-commuting strings may intersect. Simulation of the non-commuting fluxes presents a computational challenge as it requires a rather complex gauge-fixing procedure. The flux definitions change as strings change their positions and orientations relative to each other and must be carefully updated as the network evolves. The method is described here in some detail, with results to be presented elsewhere.
|
1204.6523
|
Vladimir Tkach
|
V. I. Tkach
|
Towards Ghost-Free Gravity and Standard Model
|
8 pages, published version in MPLA
|
Mod. Phys. Lett. A 27 (2012) 125031
|
10.1142/S0217732312501313
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper presents a new higher derivative gravity which in spontaneous
breaking electroweak symmetry state does not have ghost in gravity sector. We
show that Newton constant of the gravity and dark energy density they depend on
the fundamental TeV scale and the coupling constant at the quadratic curvature
term. We consider the supersymmetric extension of this model.
|
[
{
"created": "Sun, 29 Apr 2012 21:25:58 GMT",
"version": "v1"
},
{
"created": "Sun, 1 Jul 2012 23:53:32 GMT",
"version": "v2"
},
{
"created": "Wed, 4 Jul 2012 16:13:59 GMT",
"version": "v3"
},
{
"created": "Mon, 16 Jul 2012 22:15:02 GMT",
"version": "v4"
}
] |
2015-06-04
|
[
[
"Tkach",
"V. I.",
""
]
] |
This paper presents a new higher derivative gravity which in spontaneous breaking electroweak symmetry state does not have ghost in gravity sector. We show that Newton constant of the gravity and dark energy density they depend on the fundamental TeV scale and the coupling constant at the quadratic curvature term. We consider the supersymmetric extension of this model.
|
hep-th/9803122
|
Galen M. Sotkov
|
J. F. Gomes, G. M. Sotkov and A. H. Zimerman
|
$SU(2,R)_q $ Symmetries of Non-Abelian Toda Theories
|
13 pages, no figures, latex file
|
Phys.Lett. B435 (1998) 49-60
|
10.1016/S0370-2693(98)00764-3
|
IFT-P.017/97, CBPF-NF-018/98
|
hep-th
| null |
The classical and quantum algebras of a class of conformal NA-Toda models are
studied. It is shown that the $SL(2,R)_q$ Poisson brackets algebra generated by
certain chiral and antichiral charges of the nonlocal currents and the global
U(1) charge appears as an algebra of the symmetries of these models.
|
[
{
"created": "Sat, 14 Mar 1998 20:36:25 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Gomes",
"J. F.",
""
],
[
"Sotkov",
"G. M.",
""
],
[
"Zimerman",
"A. H.",
""
]
] |
The classical and quantum algebras of a class of conformal NA-Toda models are studied. It is shown that the $SL(2,R)_q$ Poisson brackets algebra generated by certain chiral and antichiral charges of the nonlocal currents and the global U(1) charge appears as an algebra of the symmetries of these models.
|
2203.08503
|
Michael Thies
|
Michael Thies
|
Exact tricritical point from next-to-leading-order stability analysis
|
16 pages, 11 figures; v2: typo's corrected; v3: minor improvements
| null |
10.1103/PhysRevD.105.116003
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
In the massive chiral Gross-Neveu model, a phase boundary separates a
homogeneous from an inhomogeneous phase. It consists of two parts, a second
order line and a first order line, joined at a tricritical point. Whereas the
first order phase boundary requires a full, numerical Hartree-Fock calculation,
the second order phase boundary can be determined exactly and with less effort
by a perturbative stability analysis. We extend this stability analysis to
higher order perturbation theory. This enables us to locate the tricritical
point exactly, without need to perform a Hartree-Fock calculation. Divergencies
due to the emergence of spectral gaps in a spatially periodic perturbation are
handled using well established tools from many body theory.
|
[
{
"created": "Wed, 16 Mar 2022 09:56:47 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Mar 2022 11:28:22 GMT",
"version": "v2"
},
{
"created": "Fri, 27 May 2022 07:37:31 GMT",
"version": "v3"
}
] |
2022-06-15
|
[
[
"Thies",
"Michael",
""
]
] |
In the massive chiral Gross-Neveu model, a phase boundary separates a homogeneous from an inhomogeneous phase. It consists of two parts, a second order line and a first order line, joined at a tricritical point. Whereas the first order phase boundary requires a full, numerical Hartree-Fock calculation, the second order phase boundary can be determined exactly and with less effort by a perturbative stability analysis. We extend this stability analysis to higher order perturbation theory. This enables us to locate the tricritical point exactly, without need to perform a Hartree-Fock calculation. Divergencies due to the emergence of spectral gaps in a spatially periodic perturbation are handled using well established tools from many body theory.
|
0808.0694
|
Everton Murilo Carvalho Abreu
|
E. M. C. Abreu, A. C. R. Mendes, C. Neves and W. Oliveira
|
Radiation damping, noncommutativity and duality
|
6 pages. RevTex4. New title, new version
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work, our main objective is to construct a N=2 supersymmetric
extension of the nonrelativistic $(2+1)$-dimensional model describing the
radiation damping on the noncommutative plane with scalar (electric) and vector
(magnetic) interactions by the N=2 superfield technique. We also introduce a
dual equivalent action to the radiation damping one using the Noether
procedure.
|
[
{
"created": "Tue, 5 Aug 2008 17:34:40 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Oct 2008 19:33:08 GMT",
"version": "v2"
}
] |
2008-10-15
|
[
[
"Abreu",
"E. M. C.",
""
],
[
"Mendes",
"A. C. R.",
""
],
[
"Neves",
"C.",
""
],
[
"Oliveira",
"W.",
""
]
] |
In this work, our main objective is to construct a N=2 supersymmetric extension of the nonrelativistic $(2+1)$-dimensional model describing the radiation damping on the noncommutative plane with scalar (electric) and vector (magnetic) interactions by the N=2 superfield technique. We also introduce a dual equivalent action to the radiation damping one using the Noether procedure.
|
1711.09021
|
Vladimir Bazhanov
|
Vladimir V. Bazhanov, Sergei L. Lukyanov and Boris A. Runov
|
Bukhvostov-Lipatov model and quantum-classical duality
|
49 pages, 8 figures
| null |
10.1016/j.nuclphysb.2017.12.022
| null |
hep-th cond-mat.stat-mech math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Bukhvostov-Lipatov model is an exactly soluble model of two interacting
Dirac fermions in 1+1 dimensions. The model describes weakly interacting
instantons and anti-instantons in the $O(3)$ non-linear sigma model. In our
previous work [arXiv:1607.04839] we have proposed an exact formula for the
vacuum energy of the Bukhvostov-Lipatov model in terms of special solutions of
the classical sinh-Gordon equation, which can be viewed as an example of a
remarkable duality between integrable quantum field theories and integrable
classical field theories in two dimensions. Here we present a complete
derivation of this duality based on the classical inverse scattering transform
method, traditional Bethe ansatz techniques and analytic theory of ordinary
differential equations. In particular, we show that the Bethe ansatz equations
defining the vacuum state of the quantum theory also define connection
coefficients of an auxiliary linear problem for the classical sinh-Gordon
equation. Moreover, we also present details of the derivation of the non-linear
integral equations determining the vacuum energy and other spectral
characteristics of the model in the case when the vacuum state is filled by
2-string solutions of the Bethe ansatz equations.
|
[
{
"created": "Fri, 24 Nov 2017 15:40:07 GMT",
"version": "v1"
}
] |
2018-03-14
|
[
[
"Bazhanov",
"Vladimir V.",
""
],
[
"Lukyanov",
"Sergei L.",
""
],
[
"Runov",
"Boris A.",
""
]
] |
The Bukhvostov-Lipatov model is an exactly soluble model of two interacting Dirac fermions in 1+1 dimensions. The model describes weakly interacting instantons and anti-instantons in the $O(3)$ non-linear sigma model. In our previous work [arXiv:1607.04839] we have proposed an exact formula for the vacuum energy of the Bukhvostov-Lipatov model in terms of special solutions of the classical sinh-Gordon equation, which can be viewed as an example of a remarkable duality between integrable quantum field theories and integrable classical field theories in two dimensions. Here we present a complete derivation of this duality based on the classical inverse scattering transform method, traditional Bethe ansatz techniques and analytic theory of ordinary differential equations. In particular, we show that the Bethe ansatz equations defining the vacuum state of the quantum theory also define connection coefficients of an auxiliary linear problem for the classical sinh-Gordon equation. Moreover, we also present details of the derivation of the non-linear integral equations determining the vacuum energy and other spectral characteristics of the model in the case when the vacuum state is filled by 2-string solutions of the Bethe ansatz equations.
|
2310.16081
|
Mykhaylo Usatyuk
|
Guanda Lin, Mykhaylo Usatyuk
|
Revisiting the second order formalism of JT gravity
|
37 pages
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We revisit the gravity path integral formalism of JT gravity. We explain how
to gauge fix the path integral in the presence of asymptotic boundaries and
conical defects, and resolve an ambiguity regarding the dilaton gravity
operator that creates a conical defect. Along the way we study JT gravity
coupled to matter on surfaces with defects of special opening angles, obtaining
expressions for partition and two-point functions of matter fields. The two
point function involves a summation over all geodesics on the surface,
including self-intersecting geodesics, which we formally manage to include.
|
[
{
"created": "Tue, 24 Oct 2023 18:00:00 GMT",
"version": "v1"
}
] |
2023-10-26
|
[
[
"Lin",
"Guanda",
""
],
[
"Usatyuk",
"Mykhaylo",
""
]
] |
We revisit the gravity path integral formalism of JT gravity. We explain how to gauge fix the path integral in the presence of asymptotic boundaries and conical defects, and resolve an ambiguity regarding the dilaton gravity operator that creates a conical defect. Along the way we study JT gravity coupled to matter on surfaces with defects of special opening angles, obtaining expressions for partition and two-point functions of matter fields. The two point function involves a summation over all geodesics on the surface, including self-intersecting geodesics, which we formally manage to include.
|
2312.12104
|
Andreas P. Braun
|
Andreas P. Braun and Richie Dadhley
|
$G_2$ Mirrors from Calabi-Yau Mirrors
|
v2: typos corrected
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We study the worldsheet CFTs of type II strings on compact $G_2$ orbifolds
obtained as quotients of a product of a Calabi-Yau threefold and a circle. For
such models, we argue that the Calabi-Yau mirror map implies a mirror map for
the associated $G_2$ varieties by examining how anti-holomorphic involutions
behave under Calabi-Yau mirror symmetry. The mirror geometries identified by
the worldsheet CFT are consistent with earlier proposals for twisted connected
sum $G_2$ manifolds.
|
[
{
"created": "Tue, 19 Dec 2023 12:29:58 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Feb 2024 23:18:51 GMT",
"version": "v2"
}
] |
2024-02-16
|
[
[
"Braun",
"Andreas P.",
""
],
[
"Dadhley",
"Richie",
""
]
] |
We study the worldsheet CFTs of type II strings on compact $G_2$ orbifolds obtained as quotients of a product of a Calabi-Yau threefold and a circle. For such models, we argue that the Calabi-Yau mirror map implies a mirror map for the associated $G_2$ varieties by examining how anti-holomorphic involutions behave under Calabi-Yau mirror symmetry. The mirror geometries identified by the worldsheet CFT are consistent with earlier proposals for twisted connected sum $G_2$ manifolds.
|
1206.0754
|
Paul McGuirk
|
Paul McGuirk, Gary Shiu, Fang Ye
|
Soft branes in supersymmetry-breaking backgrounds
|
36+5 pages. References added, minor typos corrected
|
JHEP 1207:188 (2012)
|
10.1007/JHEP07(2012)188
|
MAD-TH-12-04
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We revisit the analysis of effective field theories resulting from
non-supersymmetric perturbations to supersymmetric flux compactifications of
the type-IIB superstring with an eye towards those resulting from the
backreaction of a small number of anti-D3-branes. Independently of the
background, we show that the low-energy Lagrangian describing the fluctuations
of a stack of probe D3-branes exhibits soft supersymmetry breaking, despite
perturbations to marginal operators that were not fully considered in some
previous treatments. We take this as an indication that the breaking of
supersymmetry by anti-D3-branes or other sources may be spontaneous rather than
explicit. In support of this, we consider the action of an anti-D3-brane
probing an otherwise supersymmetric configuration and identify a candidate for
the corresponding goldstino.
|
[
{
"created": "Mon, 4 Jun 2012 20:14:03 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Jun 2012 19:10:25 GMT",
"version": "v2"
}
] |
2012-08-03
|
[
[
"McGuirk",
"Paul",
""
],
[
"Shiu",
"Gary",
""
],
[
"Ye",
"Fang",
""
]
] |
We revisit the analysis of effective field theories resulting from non-supersymmetric perturbations to supersymmetric flux compactifications of the type-IIB superstring with an eye towards those resulting from the backreaction of a small number of anti-D3-branes. Independently of the background, we show that the low-energy Lagrangian describing the fluctuations of a stack of probe D3-branes exhibits soft supersymmetry breaking, despite perturbations to marginal operators that were not fully considered in some previous treatments. We take this as an indication that the breaking of supersymmetry by anti-D3-branes or other sources may be spontaneous rather than explicit. In support of this, we consider the action of an anti-D3-brane probing an otherwise supersymmetric configuration and identify a candidate for the corresponding goldstino.
|
hep-th/9401022
| null |
Harold Roussel
|
Solutions of matrix models in the DIII generator ensemble
|
15 pages, McGill/93-28, Latex file
|
Int.J.Mod.Phys. A9 (1994) 3339-3352
|
10.1142/S0217751X9400131X
| null |
hep-th
| null |
In this paper we solve two matrix models, using standard and new techniques.
The two models are represented by special form of antisymmetric matrices and
are classified in the DIII generator ensemble. It is shown that, in the double
scaling limit, their free energy has the same behavior as previous models
describing oriented and unoriented surfaces. We also found an additional
solution for the first model.
|
[
{
"created": "Thu, 6 Jan 1994 19:23:55 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Roussel",
"Harold",
""
]
] |
In this paper we solve two matrix models, using standard and new techniques. The two models are represented by special form of antisymmetric matrices and are classified in the DIII generator ensemble. It is shown that, in the double scaling limit, their free energy has the same behavior as previous models describing oriented and unoriented surfaces. We also found an additional solution for the first model.
|
hep-th/0308109
|
Mohammad Reza Setare
|
M. R. Setare
|
Casimir Energy Densities for Parallel Plate on Background of Conformally
Flat Brane-World Geometries and Cosmological Constant Problem
|
10 pages,LaTeX,no figure,references added, typos corrected,clarifying
comments added, has been accepted for the publication in Eur.Phys.J.C
| null |
10.1140/epjc/s2004-02040-y
| null |
hep-th
| null |
In this paper, we calculate the stress-energy tensor for a quantized massless
conformally coupled scalar field in the background of a conformally flat
brane-world geometries, where the scalar field satisfying Robin boundary
conditions on two parallel plates. In the general case of Robin boundary
conditions formula are derived for the vacuum expectation values of the
energy-momentum tensor. Further the surface energy per unit area are obtained .
As an application of the general formula we have considered the important
special case of the AdS$_{4+1}$ bulk, moreover application to the
Randall-Sundrum scenario is discused. In this specific example for a certain
choice of Robin coefficients, one could make the effective cosmological
constant vanish.
|
[
{
"created": "Sun, 17 Aug 2003 13:28:54 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Feb 2004 06:56:23 GMT",
"version": "v2"
},
{
"created": "Sun, 3 Oct 2004 06:46:35 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Setare",
"M. R.",
""
]
] |
In this paper, we calculate the stress-energy tensor for a quantized massless conformally coupled scalar field in the background of a conformally flat brane-world geometries, where the scalar field satisfying Robin boundary conditions on two parallel plates. In the general case of Robin boundary conditions formula are derived for the vacuum expectation values of the energy-momentum tensor. Further the surface energy per unit area are obtained . As an application of the general formula we have considered the important special case of the AdS$_{4+1}$ bulk, moreover application to the Randall-Sundrum scenario is discused. In this specific example for a certain choice of Robin coefficients, one could make the effective cosmological constant vanish.
|
hep-th/9610252
|
Finn Larsen
|
Finn Larsen and Frank Wilczek
|
Resolution of Cosmological Singularities
|
11 pages, latex. Two references added, one typo corrected
|
Phys.Rev. D55 (1997) 4591-4595
|
10.1103/PhysRevD.55.4591
| null |
hep-th gr-qc
| null |
We show that a class of 3+1 dimensional Friedmann-Robertson-Walker
cosmologies can be embedded within a variety of solutions of string theory. In
some realizations the apparent singularities associated with the big bang or
big crunch are resolved at non-singular horizons of higher-dimensional
quasi-black hole solutions (with compactified real time); in others plausibly
they are resolved at D-brane bound states having no conventional space-time
interpretation.
|
[
{
"created": "Thu, 31 Oct 1996 22:27:46 GMT",
"version": "v1"
},
{
"created": "Sun, 17 Nov 1996 19:57:39 GMT",
"version": "v2"
}
] |
2016-09-06
|
[
[
"Larsen",
"Finn",
""
],
[
"Wilczek",
"Frank",
""
]
] |
We show that a class of 3+1 dimensional Friedmann-Robertson-Walker cosmologies can be embedded within a variety of solutions of string theory. In some realizations the apparent singularities associated with the big bang or big crunch are resolved at non-singular horizons of higher-dimensional quasi-black hole solutions (with compactified real time); in others plausibly they are resolved at D-brane bound states having no conventional space-time interpretation.
|
1104.5215
|
Francisco A. Brito
|
D. Bazeia, F. A. Brito and F. G. Costa
|
3D black holes on a 2-brane in 4D Minkowski space
|
10 pages, 5 figures, to appear in PLB
|
Phys. Lett. B 704 (2011) 631
|
10.1016/j.physletb.2011.09.066
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate three-dimensional black hole solutions in the realm of pure
and new massive gravity in 2+1 dimensions induced on a 2-brane embedded in a
flat four-dimensional spacetime. There is no cosmological constant neither on
the brane nor on the four-dimensional bulk. Only gravitational fields are
turned on and we indeed find vacuum solutions as black holes in 2+1 dimensions
even in the absence of any cosmological solution. There is a crossover scale
that controls how far the three- or four-dimensional gravity manifests on the
2-brane. Our solutions also indicate that local BTZ and SdS_3 solutions can
flow to local four-dimensional Schwarzschild like black holes, as one probes
from small to large distances, which is clearly a higher dimensional
manifestation on the 2-brane. This is similar to the DGP scenario where the
effects of extra dimensions for large probed distances along the brane
manifest.
|
[
{
"created": "Wed, 27 Apr 2011 18:59:35 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Sep 2011 17:35:23 GMT",
"version": "v2"
}
] |
2011-10-26
|
[
[
"Bazeia",
"D.",
""
],
[
"Brito",
"F. A.",
""
],
[
"Costa",
"F. G.",
""
]
] |
We investigate three-dimensional black hole solutions in the realm of pure and new massive gravity in 2+1 dimensions induced on a 2-brane embedded in a flat four-dimensional spacetime. There is no cosmological constant neither on the brane nor on the four-dimensional bulk. Only gravitational fields are turned on and we indeed find vacuum solutions as black holes in 2+1 dimensions even in the absence of any cosmological solution. There is a crossover scale that controls how far the three- or four-dimensional gravity manifests on the 2-brane. Our solutions also indicate that local BTZ and SdS_3 solutions can flow to local four-dimensional Schwarzschild like black holes, as one probes from small to large distances, which is clearly a higher dimensional manifestation on the 2-brane. This is similar to the DGP scenario where the effects of extra dimensions for large probed distances along the brane manifest.
|
hep-th/9602028
|
Martin G. Harris
|
M.G.Harris and J.Ambjorn
|
Correlation Functions in the Multiple Ising Model Coupled to Gravity
|
29 pages, LaTeX, uses epsf macro, 5 figures
|
Nucl.Phys. B474 (1996) 575-601
|
10.1016/0550-3213(96)00282-9
|
NBI-HE-96-04
|
hep-th
| null |
The model of p Ising spins coupled to 2d gravity, in the form of a sum over
planar phi-cubed graphs, is studied and in particular the two-point and
spin-spin correlation functions are considered. We first solve a toy model in
which only a partial summation over spin configurations is performed and, using
a modified geodesic distance, various correlation functions are determined. The
two-point function has a diverging length scale associated with it. The
critical exponents are calculated and it is shown that all the standard scaling
relations apply. Next the full model is studied, in which all spin
configurations are included. Many of the considerations for the toy model apply
for the full model, which also has a diverging geometric correlation length
associated with the transition to a branched polymer phase. Using a transfer
function we show that the two-point and spin-spin correlation functions decay
exponentially with distance. Finally, by assuming various scaling relations, we
make a prediction for the critical exponents at the transition between the
magnetized and branched polymer phases in the full model.
|
[
{
"created": "Tue, 6 Feb 1996 15:25:15 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Harris",
"M. G.",
""
],
[
"Ambjorn",
"J.",
""
]
] |
The model of p Ising spins coupled to 2d gravity, in the form of a sum over planar phi-cubed graphs, is studied and in particular the two-point and spin-spin correlation functions are considered. We first solve a toy model in which only a partial summation over spin configurations is performed and, using a modified geodesic distance, various correlation functions are determined. The two-point function has a diverging length scale associated with it. The critical exponents are calculated and it is shown that all the standard scaling relations apply. Next the full model is studied, in which all spin configurations are included. Many of the considerations for the toy model apply for the full model, which also has a diverging geometric correlation length associated with the transition to a branched polymer phase. Using a transfer function we show that the two-point and spin-spin correlation functions decay exponentially with distance. Finally, by assuming various scaling relations, we make a prediction for the critical exponents at the transition between the magnetized and branched polymer phases in the full model.
|
1907.07688
|
Bruno Balthazar
|
Bruno Balthazar, Victor A. Rodriguez, Xi Yin
|
ZZ Instantons and the Non-Perturbative Dual of c = 1 String Theory
|
28 pages, 10 figures; footnote and references added, typos corrected
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the effect of ZZ instantons in c = 1 string theory, and demonstrate
that they give rise to non-perturbative corrections to scattering amplitudes
that do not saturate unitarity within the closed string sector. Beyond the
leading non-perturbative order, logarithmic divergences are canceled between
worldsheet diagrams of different topologies, due to the
Fischler-Susskind-Polchinski mechanism. We propose that the closed string
vacuum in c = 1 string theory is non-perturbatively dual to a state of the
matrix quantum mechanics in which all scattering states up to a given energy
with no incoming flux from the "other side" of the potential are occupied by
free fermions. Under such a proposal, we find detailed agreement of
non-perturbative corrections to closed string amplitudes in the worldsheet
description and in the dual matrix model.
|
[
{
"created": "Wed, 17 Jul 2019 18:00:01 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Dec 2019 03:13:42 GMT",
"version": "v2"
}
] |
2019-12-17
|
[
[
"Balthazar",
"Bruno",
""
],
[
"Rodriguez",
"Victor A.",
""
],
[
"Yin",
"Xi",
""
]
] |
We study the effect of ZZ instantons in c = 1 string theory, and demonstrate that they give rise to non-perturbative corrections to scattering amplitudes that do not saturate unitarity within the closed string sector. Beyond the leading non-perturbative order, logarithmic divergences are canceled between worldsheet diagrams of different topologies, due to the Fischler-Susskind-Polchinski mechanism. We propose that the closed string vacuum in c = 1 string theory is non-perturbatively dual to a state of the matrix quantum mechanics in which all scattering states up to a given energy with no incoming flux from the "other side" of the potential are occupied by free fermions. Under such a proposal, we find detailed agreement of non-perturbative corrections to closed string amplitudes in the worldsheet description and in the dual matrix model.
|
1204.5756
|
Oscar Lorente-Esp\'in
|
Oscar Lorente-Esp\'in
|
Back-reaction as a quantum correction
|
11 pages
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we will show how the back-reaction can be treated as a quantum
correction. The novel semi-classical approach presented here consists in the
introduction of adequate quantum corrections into the r-t sector of the black
hole metric. Thus, we will obtain corrected values for the temperature, entropy
and emission rate, which at leading order coincide with the results in the
tunneling frame. We have also applied this technique to the Little String
Theory. Interestingly, we have found similar results for the entropy as using
string one-loop calculations.
|
[
{
"created": "Wed, 25 Apr 2012 20:13:29 GMT",
"version": "v1"
}
] |
2012-04-27
|
[
[
"Lorente-Espín",
"Oscar",
""
]
] |
In this work we will show how the back-reaction can be treated as a quantum correction. The novel semi-classical approach presented here consists in the introduction of adequate quantum corrections into the r-t sector of the black hole metric. Thus, we will obtain corrected values for the temperature, entropy and emission rate, which at leading order coincide with the results in the tunneling frame. We have also applied this technique to the Little String Theory. Interestingly, we have found similar results for the entropy as using string one-loop calculations.
|
1201.5819
|
Fabio Riccioni
|
Eric A. Bergshoeff, Alessio Marrani and Fabio Riccioni
|
Brane orbits
|
34 pages, 3 figures
| null |
10.1016/j.nuclphysb.2012.03.014
|
UG-12-02, CERN-PH-TH/2012-001
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We complete the classification of half-supersymmetric branes in toroidally
compactified IIA/IIB string theory in terms of representations of the T-duality
group. As a by-product we derive a last wrapping rule for the space-filling
branes. We find examples of T-duality representations of branes in lower
dimensions, suggested by supergravity, of which none of the component branes
follow from the reduction of any brane in ten-dimensional IIA/IIB string
theory. We discuss the constraints on the charges of half-supersymmetric
branes, determining the corresponding T-duality and U-duality orbits.
|
[
{
"created": "Fri, 27 Jan 2012 16:27:51 GMT",
"version": "v1"
}
] |
2015-06-03
|
[
[
"Bergshoeff",
"Eric A.",
""
],
[
"Marrani",
"Alessio",
""
],
[
"Riccioni",
"Fabio",
""
]
] |
We complete the classification of half-supersymmetric branes in toroidally compactified IIA/IIB string theory in terms of representations of the T-duality group. As a by-product we derive a last wrapping rule for the space-filling branes. We find examples of T-duality representations of branes in lower dimensions, suggested by supergravity, of which none of the component branes follow from the reduction of any brane in ten-dimensional IIA/IIB string theory. We discuss the constraints on the charges of half-supersymmetric branes, determining the corresponding T-duality and U-duality orbits.
|
hep-th/9811112
|
Pierre van Baal
|
Pierre van Baal
|
Nahm gauge fields for the torus
|
9 pages, latex
|
Phys.Lett. B448 (1999) 26-32
|
10.1016/S0370-2693(99)00024-6
|
INLO-PUB-13/98
|
hep-th hep-lat
| null |
We present the exact expression for the Nahm gauge field associated to a
SU(N) charge one self-dual gauge field on T^3XR. The result implies that the
size of the instanton is determined by the ``distance'' between its two flat
connections at t plus or minus infinty.
|
[
{
"created": "Thu, 12 Nov 1998 16:21:39 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"van Baal",
"Pierre",
""
]
] |
We present the exact expression for the Nahm gauge field associated to a SU(N) charge one self-dual gauge field on T^3XR. The result implies that the size of the instanton is determined by the ``distance'' between its two flat connections at t plus or minus infinty.
|
hep-th/0203144
|
Ashok Das
|
Ashok Das, J. Maharana and A. Melikyan
|
Duality, Monodromy and Integrability of Two Dimensional String Effective
Action
|
20 pages, to be published in Physical Review D
|
Phys.Rev.D65:126001,2002
|
10.1103/PhysRevD.65.126001
| null |
hep-th
| null |
The monodromy matrix, ${\hat{\cal M}}$, is constructed for two dimensional
tree level string effective action. The pole structure of ${\hat{\cal M}}$ is
derived using its factorizability property. It is found that the monodromy
matrix transforms non-trivially under the non-compact T-duality group, which
leaves the effective action invariant and this can be used to construct the
monodromy matrix for more complicated backgrounds starting from simpler ones.
We construct, explicitly, ${\hat{\cal M}}$ for the exactly solvable
Nappi-Witten model, both when B=0 and $B\neq 0$, where these ideas can be
directly checked. We consider well known charged black hole solutions in the
heterotic string theory which can be generated by T-duality transformations
from a spherically symmetric `seed' Schwarzschild solution. We construct the
monodromy matrix for the Schwarzschild black hole background of the heterotic
string theory.
|
[
{
"created": "Fri, 15 Mar 2002 15:39:48 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Das",
"Ashok",
""
],
[
"Maharana",
"J.",
""
],
[
"Melikyan",
"A.",
""
]
] |
The monodromy matrix, ${\hat{\cal M}}$, is constructed for two dimensional tree level string effective action. The pole structure of ${\hat{\cal M}}$ is derived using its factorizability property. It is found that the monodromy matrix transforms non-trivially under the non-compact T-duality group, which leaves the effective action invariant and this can be used to construct the monodromy matrix for more complicated backgrounds starting from simpler ones. We construct, explicitly, ${\hat{\cal M}}$ for the exactly solvable Nappi-Witten model, both when B=0 and $B\neq 0$, where these ideas can be directly checked. We consider well known charged black hole solutions in the heterotic string theory which can be generated by T-duality transformations from a spherically symmetric `seed' Schwarzschild solution. We construct the monodromy matrix for the Schwarzschild black hole background of the heterotic string theory.
|
hep-th/0307078
|
Saswat Sarangi
|
Saswat Sarangi and S.-H. Henry Tye
|
Inter-Brane Potential and the Decay of a non-BPS-D-brane to Closed
Strings
|
16 Pages, 3 Figures
|
Phys.Lett. B573 (2003) 181-192
|
10.1016/j.physletb.2003.08.033
| null |
hep-th
| null |
We calculate the potential for $Dp-\Dbar p$ pair and show that the coincident
$Dp-\Dbar p$ system has $(11-p)$ tachyonic modes, with $(9-p)$ of them due to
radiative corrections. We propose that the decay width of an unstable
non-BPS-$Dp$-brane to closed strings is given by the imaginary part of the
one-loop contribution to the effective potential of the open string tachyon
mode.
|
[
{
"created": "Tue, 8 Jul 2003 16:03:41 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Sarangi",
"Saswat",
""
],
[
"Tye",
"S. -H. Henry",
""
]
] |
We calculate the potential for $Dp-\Dbar p$ pair and show that the coincident $Dp-\Dbar p$ system has $(11-p)$ tachyonic modes, with $(9-p)$ of them due to radiative corrections. We propose that the decay width of an unstable non-BPS-$Dp$-brane to closed strings is given by the imaginary part of the one-loop contribution to the effective potential of the open string tachyon mode.
|
hep-th/0304131
|
Shin'ichi Nojiri
|
Shin'ichi Nojiri, Sergei D. Odintsov
|
deSitter brane universeinduced by phantom and quantum effects
|
LaTeX file, 11 pages, minor changes, version to appear in PLB
|
Phys.Lett.B565:1-9,2003
|
10.1016/S0370-2693(03)00753-6
| null |
hep-th astro-ph hep-ph
| null |
Five-dimensional braneworld cosmology with deSitter (inflationary) brane
universe induced by classical and quantum matter is discussed. It is shown that
negative energy phantom field with quantum CFT supports the creation of
deSitter universe. On the same time, pure phantom or dust with quantum effects,
or Chaplygin gas with quantum effects may naturally lead to the occurence of
Anti-deSitter brane universe but not deSitter one. It is also interesting that
unlike to four-dimensional gravity, for phantom with (or without) quantum
contribution the standard cosmological energy conditions may be effectively
satisfied.
|
[
{
"created": "Tue, 15 Apr 2003 01:58:02 GMT",
"version": "v1"
},
{
"created": "Sun, 18 May 2003 02:45:50 GMT",
"version": "v2"
}
] |
2009-09-17
|
[
[
"Nojiri",
"Shin'ichi",
""
],
[
"Odintsov",
"Sergei D.",
""
]
] |
Five-dimensional braneworld cosmology with deSitter (inflationary) brane universe induced by classical and quantum matter is discussed. It is shown that negative energy phantom field with quantum CFT supports the creation of deSitter universe. On the same time, pure phantom or dust with quantum effects, or Chaplygin gas with quantum effects may naturally lead to the occurence of Anti-deSitter brane universe but not deSitter one. It is also interesting that unlike to four-dimensional gravity, for phantom with (or without) quantum contribution the standard cosmological energy conditions may be effectively satisfied.
|
hep-th/0106111
|
Matt Visser
|
Matt Visser (Washington University in Saint Louis)
|
Essential and inessential features of Hawking radiation
|
JHEP style; 17 pages
|
Int.J.Mod.Phys.D12:649-661,2003
|
10.1142/S0218271803003190
| null |
hep-th gr-qc
| null |
There are numerous derivations of the Hawking effect available in the
literature. They emphasise different features of the process, and sometimes
make markedly different physical assumptions. This article presents a
``minimalist'' argument, and strips the derivation of as much excess baggage as
possible. All that is really necessary is quantum physics plus a slowly
evolving future apparent horizon (*not* an event horizon). In particular,
neither the Einstein equations nor Bekenstein entropy are necessary (nor even
useful) in deriving Hawking radiation.
|
[
{
"created": "Wed, 13 Jun 2001 22:53:41 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Visser",
"Matt",
"",
"Washington University in Saint Louis"
]
] |
There are numerous derivations of the Hawking effect available in the literature. They emphasise different features of the process, and sometimes make markedly different physical assumptions. This article presents a ``minimalist'' argument, and strips the derivation of as much excess baggage as possible. All that is really necessary is quantum physics plus a slowly evolving future apparent horizon (*not* an event horizon). In particular, neither the Einstein equations nor Bekenstein entropy are necessary (nor even useful) in deriving Hawking radiation.
|
hep-th/0504189
|
Saharian
|
A.A. Saharian, R.M. Avagyan, R. S. Davtyan
|
Wightman function and Casimir densities for Robin plates in the
Fulling-Rindler vacuum
|
20 pages, 2 figures, discussion added, accepted for publication in
Int. J. Mod. Phys. A
|
Int.J.Mod.Phys. A21 (2006) 2353-2375
|
10.1142/S0217751X06028515
| null |
hep-th
| null |
Wightman function, the vacuum expectation values of the field square and the
energy-momentum tensor are investigated for a massive scalar field with an
arbitrary curvature coupling parameter in the region between two infinite
parallel plates moving by uniform proper acceleration. We assume that the field
is prepared in the Fulling-Rindler vacuum state and satisfies Robin boundary
conditions on the plates. The mode-summation method is used with a combination
of a variant of the generalized Abel-Plana formula. This allows to extract
manifestly the contributions to the expectation values due to a single boundary
and to present the second plate-induced parts in terms of exponentially
convergent integrals. Various limiting cases are investigated. The vacuum
forces acting on the boundaries are presented as a sum of the self-action and
'interaction' terms. The first one contains well known surface divergences and
needs a further renormalization. The 'interaction' forces between the plates
are investigated as functions of the proper accelerations and coefficients in
the boundary conditions. We show that there is a region in the space of these
parameters in which the 'interaction' forces are repulsive for small distances
and attractive for large distances.
|
[
{
"created": "Sat, 23 Apr 2005 08:25:37 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Aug 2005 11:50:07 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Saharian",
"A. A.",
""
],
[
"Avagyan",
"R. M.",
""
],
[
"Davtyan",
"R. S.",
""
]
] |
Wightman function, the vacuum expectation values of the field square and the energy-momentum tensor are investigated for a massive scalar field with an arbitrary curvature coupling parameter in the region between two infinite parallel plates moving by uniform proper acceleration. We assume that the field is prepared in the Fulling-Rindler vacuum state and satisfies Robin boundary conditions on the plates. The mode-summation method is used with a combination of a variant of the generalized Abel-Plana formula. This allows to extract manifestly the contributions to the expectation values due to a single boundary and to present the second plate-induced parts in terms of exponentially convergent integrals. Various limiting cases are investigated. The vacuum forces acting on the boundaries are presented as a sum of the self-action and 'interaction' terms. The first one contains well known surface divergences and needs a further renormalization. The 'interaction' forces between the plates are investigated as functions of the proper accelerations and coefficients in the boundary conditions. We show that there is a region in the space of these parameters in which the 'interaction' forces are repulsive for small distances and attractive for large distances.
|
2105.13046
|
Sami Rawash
|
Sami Rawash, David Turton
|
Supercharged AdS${}_3$ Holography
|
50 pages, v3: typos fixed
|
JHEP 2107 (2021) 178
|
10.1007/JHEP07(2021)178
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
Given an asymptotically Anti-de Sitter supergravity solution, one can obtain
a microscopic interpretation by identifying the corresponding state in the
holographically dual conformal field theory. This is of particular importance
for heavy pure states that are candidate black hole microstates. Expectation
values of light operators in such heavy CFT states are encoded in the
asymptotic expansion of the dual bulk configuration. In the D1-D5 system, large
families of heavy pure CFT states have been proposed to be holographically dual
to smooth horizonless supergravity solutions. We derive the precision
holographic dictionary in a new sector of light operators that are
superdescendants of scalar chiral primaries of dimension (1,1). These operators
involve the action of the supercharges of the chiral algebra, and they play a
central role in the proposed holographic description of recently-constructed
supergravity solutions known as "supercharged superstrata". We resolve the
mixing of single-trace and multi-trace operators in the CFT to identify the
combinations that are dual to single-particle states in the bulk. We identify
the corresponding gauge-invariant combinations of supergravity fields. We use
this expanded dictionary to probe the proposed holographic description of
supercharged superstrata, finding precise agreement between gravity and CFT.
|
[
{
"created": "Thu, 27 May 2021 10:28:56 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Aug 2021 11:39:03 GMT",
"version": "v2"
},
{
"created": "Fri, 16 Dec 2022 17:23:18 GMT",
"version": "v3"
}
] |
2022-12-19
|
[
[
"Rawash",
"Sami",
""
],
[
"Turton",
"David",
""
]
] |
Given an asymptotically Anti-de Sitter supergravity solution, one can obtain a microscopic interpretation by identifying the corresponding state in the holographically dual conformal field theory. This is of particular importance for heavy pure states that are candidate black hole microstates. Expectation values of light operators in such heavy CFT states are encoded in the asymptotic expansion of the dual bulk configuration. In the D1-D5 system, large families of heavy pure CFT states have been proposed to be holographically dual to smooth horizonless supergravity solutions. We derive the precision holographic dictionary in a new sector of light operators that are superdescendants of scalar chiral primaries of dimension (1,1). These operators involve the action of the supercharges of the chiral algebra, and they play a central role in the proposed holographic description of recently-constructed supergravity solutions known as "supercharged superstrata". We resolve the mixing of single-trace and multi-trace operators in the CFT to identify the combinations that are dual to single-particle states in the bulk. We identify the corresponding gauge-invariant combinations of supergravity fields. We use this expanded dictionary to probe the proposed holographic description of supercharged superstrata, finding precise agreement between gravity and CFT.
|
hep-th/9312047
|
Nobuyuki Ishibashi
|
N.Ishibashi and H.Kawai
|
String Field Theory of $c\leq 1$ Noncritical Strings
|
17 pages, LaTex file, KEK-TH-378
|
Phys.Lett. B322 (1994) 67-78
|
10.1016/0370-2693(94)90492-8
| null |
hep-th
| null |
We construct a string field Hamiltonian for a noncritical string theory with
the continuum limit of the Ising model or its generalization as the matter
theory on the worldsheet. It consists of only three string vertices as in the
case for $c=0$. We also discuss a general consistency condition that should be
satisfied by this kind of string field Hamiltonian.
|
[
{
"created": "Tue, 7 Dec 1993 08:14:20 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Ishibashi",
"N.",
""
],
[
"Kawai",
"H.",
""
]
] |
We construct a string field Hamiltonian for a noncritical string theory with the continuum limit of the Ising model or its generalization as the matter theory on the worldsheet. It consists of only three string vertices as in the case for $c=0$. We also discuss a general consistency condition that should be satisfied by this kind of string field Hamiltonian.
|
hep-th/9303056
| null |
Gordon W. Semenoff and Nathan Weiss
|
Symmetry and Observables in Induced QCD
|
20 pages, UBC-TP93-004
| null | null | null |
hep-th hep-lat
| null |
We review some of the basic features of the Kazakov-Migdal model of induced
QCD. We emphasize the role of $Z_N$ symmetry in determining the observable
properties of the model and also argue that it can be broken explicitly without
ruining the solvability of induced QCD in the infinite $N$ limit. We outline
the sort of critical behavior which the master field must have in order that
the model is still solvable. We also review some aspects of the $D=1$ version
of the model where the partition function can be obtained analytically. To be
published in the Proceedings of "Mathematical Physics, String Theory and
Quantum Gravity", Rhakov, Ukraine. October, 1992
|
[
{
"created": "Tue, 9 Mar 1993 23:15:00 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Semenoff",
"Gordon W.",
""
],
[
"Weiss",
"Nathan",
""
]
] |
We review some of the basic features of the Kazakov-Migdal model of induced QCD. We emphasize the role of $Z_N$ symmetry in determining the observable properties of the model and also argue that it can be broken explicitly without ruining the solvability of induced QCD in the infinite $N$ limit. We outline the sort of critical behavior which the master field must have in order that the model is still solvable. We also review some aspects of the $D=1$ version of the model where the partition function can be obtained analytically. To be published in the Proceedings of "Mathematical Physics, String Theory and Quantum Gravity", Rhakov, Ukraine. October, 1992
|
hep-th/0506243
|
Niklas Beisert
|
N. Beisert, L. Freyhult
|
Fluctuations and Energy Shifts in the Bethe Ansatz
|
8 pages, 1 figure, v2: comparison to string theory improved,
reference added
|
Phys.Lett.B622:343-348,2005
|
10.1016/j.physletb.2005.07.015
|
NORDITA-2005-44, PUTP-2164
|
hep-th
| null |
We study fluctuations and finite size corrections for the ferromagnetic
thermodynamic limit in the Bethe ansatz for the Heisenberg XXX1/2 spin chain,
which is the AdS/CFT dual of semiclassical spinning strings. For this system we
derive the standard quantum mechanical formula which expresses the energy shift
as a sum over fluctuation energies. As an example we apply our results to the
simplest, one-cut solution of this system and derive its spectrum of
fluctuations.
|
[
{
"created": "Tue, 28 Jun 2005 17:49:15 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Jul 2005 14:52:38 GMT",
"version": "v2"
}
] |
2011-03-23
|
[
[
"Beisert",
"N.",
""
],
[
"Freyhult",
"L.",
""
]
] |
We study fluctuations and finite size corrections for the ferromagnetic thermodynamic limit in the Bethe ansatz for the Heisenberg XXX1/2 spin chain, which is the AdS/CFT dual of semiclassical spinning strings. For this system we derive the standard quantum mechanical formula which expresses the energy shift as a sum over fluctuation energies. As an example we apply our results to the simplest, one-cut solution of this system and derive its spectrum of fluctuations.
|
hep-th/9601024
|
Folkert Mueller-Hoissen
|
A. Dimakis (Goettingen) and F. Mueller-Hoissen (Goettingen)
|
Noncommutative Geometry and Integrable Models
|
10 pages, Latex
|
Lett.Math.Phys. 39 (1997) 69-79
| null |
GOET-TP 1/96
|
hep-th
| null |
A construction of conservation laws for $\sigma$-models in two dimensions is
generalized in the framework of noncommutative geometry of commutative
algebras. This is done by replacing the ordinary calculus of differential forms
with other differential calculi and introducing an analogue of the Hodge
operator on the latter. The general method is illustrated with several
examples.
|
[
{
"created": "Sun, 7 Jan 1996 20:30:22 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Dimakis",
"A.",
"",
"Goettingen"
],
[
"Mueller-Hoissen",
"F.",
"",
"Goettingen"
]
] |
A construction of conservation laws for $\sigma$-models in two dimensions is generalized in the framework of noncommutative geometry of commutative algebras. This is done by replacing the ordinary calculus of differential forms with other differential calculi and introducing an analogue of the Hodge operator on the latter. The general method is illustrated with several examples.
|
hep-th/0104238
|
Arkady Tseytlin
|
J.G. Russo and A.A. Tseytlin
|
Magnetic backgrounds and tachyonic instabilities in closed superstring
theory and M-theory
|
38 pages, harvmac. minor corrections, to appear in NPB
|
Nucl.Phys.B611:93-124,2001
|
10.1016/S0550-3213(01)00358-3
|
OHSTPY-HEP-T-01-009, NSF-ITP-01-43
|
hep-th
| null |
Models of closed superstrings in certain curved NS-NS magnetic flux
backgrounds are exactly solvable in terms of free fields. They interpolate
between free superstring theories with periodic and antiperiodic boundary
conditions for fermions around some compact direction, and, in particular,
between type 0 and type II string theories. Using ``9-11 flip'', this
interpolation can be extended to M-theory and provides an interesting setting
for a study of tachyon problem in closed string theory. Starting with a general
2-parameter family of such Melvin-type models, we present several new magnetic
flux backgrounds in 10-d string theory and 11-d M-theory and discuss their
tachyonic instabilities. In particular, we suggest a description of type 0B
theory in terms of M-theory in curved magnetic flux background, which supports
its conjectured SL(2,Z) symmetry, and in which the type 0 tachyon appears to
correspond to a state in 11-d supergravity multiplet. In another ``T-dual''
description, the tachyon is related to a winding membrane state.
|
[
{
"created": "Thu, 26 Apr 2001 20:38:56 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Apr 2001 22:42:58 GMT",
"version": "v2"
},
{
"created": "Tue, 1 May 2001 22:42:51 GMT",
"version": "v3"
},
{
"created": "Thu, 9 Aug 2001 10:10:56 GMT",
"version": "v4"
}
] |
2009-09-17
|
[
[
"Russo",
"J. G.",
""
],
[
"Tseytlin",
"A. A.",
""
]
] |
Models of closed superstrings in certain curved NS-NS magnetic flux backgrounds are exactly solvable in terms of free fields. They interpolate between free superstring theories with periodic and antiperiodic boundary conditions for fermions around some compact direction, and, in particular, between type 0 and type II string theories. Using ``9-11 flip'', this interpolation can be extended to M-theory and provides an interesting setting for a study of tachyon problem in closed string theory. Starting with a general 2-parameter family of such Melvin-type models, we present several new magnetic flux backgrounds in 10-d string theory and 11-d M-theory and discuss their tachyonic instabilities. In particular, we suggest a description of type 0B theory in terms of M-theory in curved magnetic flux background, which supports its conjectured SL(2,Z) symmetry, and in which the type 0 tachyon appears to correspond to a state in 11-d supergravity multiplet. In another ``T-dual'' description, the tachyon is related to a winding membrane state.
|
hep-th/9901151
|
Shinobu Hosono
|
S. Hosono, M.-H. Saito, and A. Takahashi
|
Holomorphic Anomaly Equation and BPS State Counting of Rational Elliptic
Surface
|
27 pages, uses harvmac.tex; published form with note added in proof
|
Adv.Theor.Math.Phys.3:177-208,1999
| null | null |
hep-th math.AG
| null |
We consider the generating function (prepotential) for Gromov-Witten
invariants of rational elliptic surface. We apply the local mirror principle to
calculate the prepotential and prove a certain recursion relation, holomorphic
anomaly equation, for genus 0 and 1. We propose the holomorphic anomaly
equation for all genera and apply it to determine higher genus Gromov-Witten
invariants and also the BPS states on the surface. Generalizing G\"ottsche's
formula for the Hilbert scheme of $g$ points on a surface, we find precise
agreement of our results with the proposal recently made by Gopakumar and
Vafa(hep-th/9812127).
|
[
{
"created": "Thu, 28 Jan 1999 07:39:00 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Jan 1999 03:57:37 GMT",
"version": "v2"
},
{
"created": "Sat, 30 Jan 1999 16:56:20 GMT",
"version": "v3"
},
{
"created": "Wed, 29 Dec 1999 07:30:52 GMT",
"version": "v4"
}
] |
2008-11-26
|
[
[
"Hosono",
"S.",
""
],
[
"Saito",
"M. -H.",
""
],
[
"Takahashi",
"A.",
""
]
] |
We consider the generating function (prepotential) for Gromov-Witten invariants of rational elliptic surface. We apply the local mirror principle to calculate the prepotential and prove a certain recursion relation, holomorphic anomaly equation, for genus 0 and 1. We propose the holomorphic anomaly equation for all genera and apply it to determine higher genus Gromov-Witten invariants and also the BPS states on the surface. Generalizing G\"ottsche's formula for the Hilbert scheme of $g$ points on a surface, we find precise agreement of our results with the proposal recently made by Gopakumar and Vafa(hep-th/9812127).
|
0710.0713
|
Michael Maziashvili
|
Michael Maziashvili
|
Corrections to the running of gauge couplings due to quantum gravity
|
4 pages, Revised version
| null | null | null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Concerning the gravitational corrections to the running of gauge couplings
two different results were reported. Some authors claim that gravitational
correction at the one-loop level indicates an interesting effect of universal
gravitational decreasing of gauge couplings, that is, gravitational correction
works universally in the direction of asymptotic freedom no matter how the
gauge coupling behaves without gravity, while others reject the presence of
gravitational correction at the one-loop level at all. Being these calculations
done in the framework of an effective field theory approach to general
relativity, we wanted to draw attention to a recently discovered profound
quantum-gravitational effect of space-time dimension running that inevitably
affects the running of gauge couplings. The running of space-time dimension
indicating gradual reduction of dimension as one gets into smaller scales acts
on the coupling constants in the direction of asymptotic freedom and therefore
in any case manifests the plausibility of this quantum-gravitational effect.
Curiously enough, the results are also in perfect quantitative agreement with
those of Robinson and Wilczek.
|
[
{
"created": "Wed, 3 Oct 2007 06:16:48 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Nov 2008 19:15:33 GMT",
"version": "v2"
}
] |
2008-11-04
|
[
[
"Maziashvili",
"Michael",
""
]
] |
Concerning the gravitational corrections to the running of gauge couplings two different results were reported. Some authors claim that gravitational correction at the one-loop level indicates an interesting effect of universal gravitational decreasing of gauge couplings, that is, gravitational correction works universally in the direction of asymptotic freedom no matter how the gauge coupling behaves without gravity, while others reject the presence of gravitational correction at the one-loop level at all. Being these calculations done in the framework of an effective field theory approach to general relativity, we wanted to draw attention to a recently discovered profound quantum-gravitational effect of space-time dimension running that inevitably affects the running of gauge couplings. The running of space-time dimension indicating gradual reduction of dimension as one gets into smaller scales acts on the coupling constants in the direction of asymptotic freedom and therefore in any case manifests the plausibility of this quantum-gravitational effect. Curiously enough, the results are also in perfect quantitative agreement with those of Robinson and Wilczek.
|
hep-th/9208049
| null |
D.M. Gitman and A.V.Saa
|
Pseudoclassical Model of Spinning Particle with Anomalous Magnetic
Momentum
|
9 pages, IFUSP/P-1002
|
Mod.Phys.Lett.A8:463-468,1993
|
10.1142/S0217732393000489
| null |
hep-th
| null |
A generalization of the pseudoclassical action of a spinning particle in the
presence of an anomalous magnetic momentum is given. The action is written in
reparametrization and supergauge invariant form. The Dirac quantization, based
on the Hamiltonian analyses of the model, leads to the Dirac-Pauli equation for
a particle with an anomalous magnetic momentum in an external electromagnetic
field. Due to the structure of first-class constraints in that case, the Dirac
quantization demands for consistency to take into account an operators ordering
problem.
|
[
{
"created": "Wed, 19 Aug 1992 20:10:14 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Sep 1992 12:15:45 GMT",
"version": "v2"
}
] |
2011-03-31
|
[
[
"Gitman",
"D. M.",
""
],
[
"Saa",
"A. V.",
""
]
] |
A generalization of the pseudoclassical action of a spinning particle in the presence of an anomalous magnetic momentum is given. The action is written in reparametrization and supergauge invariant form. The Dirac quantization, based on the Hamiltonian analyses of the model, leads to the Dirac-Pauli equation for a particle with an anomalous magnetic momentum in an external electromagnetic field. Due to the structure of first-class constraints in that case, the Dirac quantization demands for consistency to take into account an operators ordering problem.
|
hep-th/0410097
|
N. E. J. Bjerrum-Bohr
|
Niels Emil Jannik Bjerrum-Bohr
|
Quantum gravity, effective fields and string theory
|
Ph.D. thesis, The Niels Bohr Institute, University of Copenhagen,
July 2004, 110 pages, 142 figures
| null | null | null |
hep-th gr-qc hep-ph
| null |
We look at the various aspects of treating general relativity as a quantum
theory. It is briefly studied how to consistently quantize general relativity
as an effective field theory. A key achievement here is the long-range
low-energy leading quantum corrections to both the Schwarzschild and Kerr
metrics. The leading quantum corrections to the pure gravitational potential
between two sources are also calculated, both in the mixed theory of scalar QED
and quantum gravity and in the pure gravitational theory. The
(Kawai-Lewellen-Tye) string theory gauge/gravity relations is next dealt with.
We investigate if the KLT-operator mapping extends to the case of higher
derivative effective operators. The KLT-relations are generalized, taking the
effective field theory viewpoint, and remarkable tree-level amplitude relations
between the field theory operators are derived. Quantum gravity is finally
looked at from the the perspective of taking the limit of infinitely many
spatial dimensions. It is verified that only a certain class of planar graphs
will in fact contribute to the $n$-point functions at $D=\infty$. This limit is
somewhat an analogy to the large-N limit of gauge theories although the
interpretation of such a graph limit in a gravitational framework is quite
different.
|
[
{
"created": "Sun, 10 Oct 2004 11:19:14 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Bjerrum-Bohr",
"Niels Emil Jannik",
""
]
] |
We look at the various aspects of treating general relativity as a quantum theory. It is briefly studied how to consistently quantize general relativity as an effective field theory. A key achievement here is the long-range low-energy leading quantum corrections to both the Schwarzschild and Kerr metrics. The leading quantum corrections to the pure gravitational potential between two sources are also calculated, both in the mixed theory of scalar QED and quantum gravity and in the pure gravitational theory. The (Kawai-Lewellen-Tye) string theory gauge/gravity relations is next dealt with. We investigate if the KLT-operator mapping extends to the case of higher derivative effective operators. The KLT-relations are generalized, taking the effective field theory viewpoint, and remarkable tree-level amplitude relations between the field theory operators are derived. Quantum gravity is finally looked at from the the perspective of taking the limit of infinitely many spatial dimensions. It is verified that only a certain class of planar graphs will in fact contribute to the $n$-point functions at $D=\infty$. This limit is somewhat an analogy to the large-N limit of gauge theories although the interpretation of such a graph limit in a gravitational framework is quite different.
|
2312.17542
|
Zi-Chao Lin
|
Zi-Chao Lin, Hao Yu, Yungui Gong
|
Generalized approach for the perturbative dynamical braneworld in $D$
dimensions
|
22 pages, 2 figures
|
Eur. Phys. J. C 84, 738 (2024)
|
10.1140/epjc/s10052-024-13098-6
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
In this paper, we propose an approach to derive the brane cosmology in the
$D$-dimensional braneworld model. We generalize the "bulk-based" approach by
treating the 4-brane as a small perturbation to the $D$-dimensional spherically
symmetric spacetime. The linear corrections from a static 4-brane to the metric
are derived from the linearized perturbation equations, while the nonlinear
corrections are found by a parameterization of the perturbed metric solution.
We use a time-dependent generalization to give the nonlinearly perturbed metric
solution for the dynamical braneworld model, and analyse the stability of the
model under the motion of the 4-brane. Through the fine tuning, we can recover
the Friedmann equations for the universe with and without an effective
cosmological constant. More importantly, the de Sitter expansion of the
universe can be reproduced.
|
[
{
"created": "Fri, 29 Dec 2023 10:12:05 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Jul 2024 10:42:36 GMT",
"version": "v2"
}
] |
2024-07-29
|
[
[
"Lin",
"Zi-Chao",
""
],
[
"Yu",
"Hao",
""
],
[
"Gong",
"Yungui",
""
]
] |
In this paper, we propose an approach to derive the brane cosmology in the $D$-dimensional braneworld model. We generalize the "bulk-based" approach by treating the 4-brane as a small perturbation to the $D$-dimensional spherically symmetric spacetime. The linear corrections from a static 4-brane to the metric are derived from the linearized perturbation equations, while the nonlinear corrections are found by a parameterization of the perturbed metric solution. We use a time-dependent generalization to give the nonlinearly perturbed metric solution for the dynamical braneworld model, and analyse the stability of the model under the motion of the 4-brane. Through the fine tuning, we can recover the Friedmann equations for the universe with and without an effective cosmological constant. More importantly, the de Sitter expansion of the universe can be reproduced.
|
0903.1960
|
Horacio E. Camblong
|
Horacio E. Camblong and Carlos R. Ordonez
|
Conformal Tightness of Holographic Scaling in Black Hole Thermodynamics
|
23 pages, 1 figure. v2 & v3: expanded explanations and proofs,
references added, typos corrected; v3: published version
|
Class. Quantum Grav. 30 (2013) 175007
|
10.1088/0264-9381/30/17/175007
| null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The near-horizon conformal symmetry of nonextremal black holes is shown to be
a mandatory ingredient for the holographic scaling of the scalar-field
contribution to the black hole entropy. This conformal tightness is revealed by
semiclassical first-principle scaling arguments through an analysis of the
multiplicative factors in the entropy due to the radial and angular degrees of
freedom associated with a scalar field. Specifically, the conformal SO(2,1)
invariance of the radial degree of freedom conspires with the area
proportionality of the angular momentum sums to yield a robust holographic
outcome.
|
[
{
"created": "Wed, 11 Mar 2009 12:33:09 GMT",
"version": "v1"
},
{
"created": "Sat, 6 Jul 2013 06:38:18 GMT",
"version": "v2"
},
{
"created": "Fri, 2 Aug 2013 12:14:24 GMT",
"version": "v3"
}
] |
2013-08-06
|
[
[
"Camblong",
"Horacio E.",
""
],
[
"Ordonez",
"Carlos R.",
""
]
] |
The near-horizon conformal symmetry of nonextremal black holes is shown to be a mandatory ingredient for the holographic scaling of the scalar-field contribution to the black hole entropy. This conformal tightness is revealed by semiclassical first-principle scaling arguments through an analysis of the multiplicative factors in the entropy due to the radial and angular degrees of freedom associated with a scalar field. Specifically, the conformal SO(2,1) invariance of the radial degree of freedom conspires with the area proportionality of the angular momentum sums to yield a robust holographic outcome.
|
hep-th/9611003
|
Olivier Piguet
|
Olivier Piguet
|
Supersymmetry, Supercurrent and Scale Invariance
|
Lecture notes, 66 pages, Latex (run 3 times)
| null | null | null |
hep-th
| null |
Contents: Generalities, Chiral supermultiplets, Super Yang-Mills theory,
Superspace Feynman graphs, Renormalization, Supercurrent, Finite theories.
|
[
{
"created": "Sun, 3 Nov 1996 09:13:13 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Piguet",
"Olivier",
""
]
] |
Contents: Generalities, Chiral supermultiplets, Super Yang-Mills theory, Superspace Feynman graphs, Renormalization, Supercurrent, Finite theories.
|
hep-th/0011198
|
Mohammad Reza Setare
|
M.R. Setare
|
Casimir Effect, Hawking Radiation and Trace Anomaly
|
7pages,submited to Classical and Quantum Gravity Journal
|
Class.Quant.Grav. 18 (2001) 2097-2104
|
10.1088/0264-9381/18/11/307
| null |
hep-th
| null |
The Casimir energy for massless scalar field of two parallel conductor, in
two dimensional Schwarzchild black hole background, with Dirichlet boundary
conditions is calculated by making use of general properties of renormalized
stress tensor. We show that vacuum expectation value of stress tensor can be
obtain by Casimir effect, trace anomaly and Hawking radiation. Four-dimensional
of this problem, by this method, is under progress by this author.
|
[
{
"created": "Wed, 22 Nov 2000 12:34:48 GMT",
"version": "v1"
},
{
"created": "Sun, 17 Dec 2000 07:14:26 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Setare",
"M. R.",
""
]
] |
The Casimir energy for massless scalar field of two parallel conductor, in two dimensional Schwarzchild black hole background, with Dirichlet boundary conditions is calculated by making use of general properties of renormalized stress tensor. We show that vacuum expectation value of stress tensor can be obtain by Casimir effect, trace anomaly and Hawking radiation. Four-dimensional of this problem, by this method, is under progress by this author.
|
1306.1517
|
Jia-Rui Sun
|
Jia-Rui Sun, Shang-Yu Wu, Hai-Qing Zhang
|
Mimic the optical conductivity in disordered solids via gauge/gravity
duality
|
17 pages, 3 figures, 1 table, published version
|
Physics Letter B 729 (2014) 177-184
|
10.1016/j.physletb.2014.01.005
| null |
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the optical conductivity in a (2+1)-dimensional non-relativistic
field theory holographically dual to a (3+1)-dimensional charged Lifshitz black
brane with the Einstein-Maxwell-dilaton theory. Surprisingly, we find that the
optical AC conductivity satisfies the nontrivial (non-)power law scaling in the
high frequency regime rather than approaching to a constant when the dynamical
critical exponent $z>1$, which is qualitatively similar to those in various
disordered solids in condensed matter systems. Besides, this (non-)power law
scaling behavior shows some universality, which is robust against the
temperatures. We argue that the peculiar scaling behavior of AC conductivity
may stem from the couplings of the dilaton field with the gauge fields and also
the logarithmic behavior near the boundary in the Lifshitz spacetime.
|
[
{
"created": "Thu, 6 Jun 2013 19:21:11 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Jan 2014 07:11:28 GMT",
"version": "v2"
}
] |
2014-01-31
|
[
[
"Sun",
"Jia-Rui",
""
],
[
"Wu",
"Shang-Yu",
""
],
[
"Zhang",
"Hai-Qing",
""
]
] |
We study the optical conductivity in a (2+1)-dimensional non-relativistic field theory holographically dual to a (3+1)-dimensional charged Lifshitz black brane with the Einstein-Maxwell-dilaton theory. Surprisingly, we find that the optical AC conductivity satisfies the nontrivial (non-)power law scaling in the high frequency regime rather than approaching to a constant when the dynamical critical exponent $z>1$, which is qualitatively similar to those in various disordered solids in condensed matter systems. Besides, this (non-)power law scaling behavior shows some universality, which is robust against the temperatures. We argue that the peculiar scaling behavior of AC conductivity may stem from the couplings of the dilaton field with the gauge fields and also the logarithmic behavior near the boundary in the Lifshitz spacetime.
|
0912.5118
|
Yu Nakayama
|
Yu Nakayama
|
Anisotropic scale invariant cosmology
|
12 pages, v2: reference added
|
Gen.Rel.Grav.43:235-244,2011
|
10.1007/s10714-010-1083-4
|
UCB-PTH-09/36, IPMU09-0165
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study a possibility of anisotropic scale invariant cosmology. It is shown
that within the conventional Einstein gravity, the violation of the null energy
condition is necessary. We construct an example based on a ghost condensation
model that violates the null energy condition. The cosmological solution
necessarily contains at least one contracting spatial direction as in the
Kasner solution. Our cosmology is conjectured to be dual to, if any, a
non-unitary anisotropic scale invariant Euclidean field theory. We investigate
simple correlation functions of the dual theory by using the holographic
computation. After compactification of the contracting direction, our setup may
yield a dual field theory description of the winding tachyon condensation that
might solve the singularity of big bang/crunch of the universe.
|
[
{
"created": "Mon, 28 Dec 2009 01:02:58 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Jan 2010 05:37:18 GMT",
"version": "v2"
}
] |
2011-03-04
|
[
[
"Nakayama",
"Yu",
""
]
] |
We study a possibility of anisotropic scale invariant cosmology. It is shown that within the conventional Einstein gravity, the violation of the null energy condition is necessary. We construct an example based on a ghost condensation model that violates the null energy condition. The cosmological solution necessarily contains at least one contracting spatial direction as in the Kasner solution. Our cosmology is conjectured to be dual to, if any, a non-unitary anisotropic scale invariant Euclidean field theory. We investigate simple correlation functions of the dual theory by using the holographic computation. After compactification of the contracting direction, our setup may yield a dual field theory description of the winding tachyon condensation that might solve the singularity of big bang/crunch of the universe.
|
hep-th/9110029
|
Miao Li
|
Miao Li
|
Correlators of Special States in c=1 Liouville Theory
|
17 pages
|
Nucl.Phys. B382 (1992) 242-258
|
10.1016/0550-3213(92)90186-F
| null |
hep-th
| null |
We generalize the ground ring structure to all special BRST invariant
operators in the right branch in the c=1 Liouville theory. We also discuss
correlation functions of special states on the sphere.
|
[
{
"created": "Fri, 11 Oct 1991 23:43:25 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Li",
"Miao",
""
]
] |
We generalize the ground ring structure to all special BRST invariant operators in the right branch in the c=1 Liouville theory. We also discuss correlation functions of special states on the sphere.
|
1208.3860
|
Gabriel Menezes
|
V. A. De Lorenci, G. Menezes and N. F. Svaiter
|
Light-cone fluctuations and the renormalized stress tensor of a massless
scalar field
| null |
Int. J. Mod. Phys. A28 (2013) 1350001
|
10.1142/S0217751X13500012
| null |
hep-th cond-mat.stat-mech gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the effects of light-cone fluctuations over the renormalized
vacuum expectation value of the stress-energy tensor of a real massless
minimally coupled scalar field defined in a ($d+1$)-dimensional flat space-time
with topology ${\cal R}\times {\cal S}^d$. For modeling the influence of
light-cone fluctuations over the quantum field, we consider a random
Klein-Gordon equation. We study the case of centered Gaussian processes. After
taking into account all the realizations of the random processes, we present
the correction caused by random fluctuations. The averaged renormalized vacuum
expectation value of the stress-energy associated with the scalar field is
presented.
|
[
{
"created": "Sun, 19 Aug 2012 16:23:36 GMT",
"version": "v1"
}
] |
2014-05-27
|
[
[
"De Lorenci",
"V. A.",
""
],
[
"Menezes",
"G.",
""
],
[
"Svaiter",
"N. F.",
""
]
] |
We investigate the effects of light-cone fluctuations over the renormalized vacuum expectation value of the stress-energy tensor of a real massless minimally coupled scalar field defined in a ($d+1$)-dimensional flat space-time with topology ${\cal R}\times {\cal S}^d$. For modeling the influence of light-cone fluctuations over the quantum field, we consider a random Klein-Gordon equation. We study the case of centered Gaussian processes. After taking into account all the realizations of the random processes, we present the correction caused by random fluctuations. The averaged renormalized vacuum expectation value of the stress-energy associated with the scalar field is presented.
|
hep-th/0308042
|
Piotr Kosinski
|
Joanna Domienik, Piotr Kosinski
|
Multiboson threshold production by fermion-antifermion pair and hidden
symmetry
|
8 pages, no figures
|
Phys.Lett. B574 (2003) 253-257
|
10.1016/j.physletb.2003.09.023
| null |
hep-th
| null |
We consider threshold production of arbitrary number of Higgs particles by
fermion-antifermion pair. The nullification of amplitudes for the special case
Higgs mass = 2 * fermion mass is explained in terms of hidden symmetry of the
reduced effective dynamics.
|
[
{
"created": "Wed, 6 Aug 2003 11:40:06 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Domienik",
"Joanna",
""
],
[
"Kosinski",
"Piotr",
""
]
] |
We consider threshold production of arbitrary number of Higgs particles by fermion-antifermion pair. The nullification of amplitudes for the special case Higgs mass = 2 * fermion mass is explained in terms of hidden symmetry of the reduced effective dynamics.
|
1803.08389
|
Yun-Long Zhang
|
Yanyan Bu, Rong-Gen Cai, Qing Yang, Yun-Long Zhang
|
Holographic Charged Fluid with Chiral Electric Separation Effect
|
39 pages, 6 figures, 1 table; Matches published version, the main
results are summarized in sec 1.1 and we thank the referee for valuable
suggestions
|
JHEP 1809 (2018) 083
|
10.1007/JHEP09(2018)083
| null |
hep-th cond-mat.str-el gr-qc nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Hydrodynamics with both vector and axial currents is under study within a
holographic model, consisting of canonical $U(1)_V\times U(1)_A$ gauge fields
in an asymptotically AdS$_5$ black brane. When gravitational back-reaction is
taken into account, the chiral electric separation effect (CESE), namely the
generation of an axial current as the response to an external electric field,
is realized naturally. Via fluid/gravity correspondence, all the first order
transport coefficients in the hydrodynamic constitutive relations are evaluated
analytically: they are functions of vector chemical potential $\mu$, axial
chemical potential $\mu_5$ and the fluid's temperature $T$. Apart from the
proportionality factor $\mu\mu_5$, the CESE conductivity is found to be
dependent on the dimensionless quantities $\mu/T$ and $\mu_5/T$ nontrivially.
As a complementary study, frequency-dependent transport phenomena are revealed
through linear response analysis, demonstrating perfect agreement with the
results obtained from fluid/gravity correspondence.
|
[
{
"created": "Thu, 22 Mar 2018 15:01:33 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Sep 2018 23:57:03 GMT",
"version": "v2"
}
] |
2018-09-28
|
[
[
"Bu",
"Yanyan",
""
],
[
"Cai",
"Rong-Gen",
""
],
[
"Yang",
"Qing",
""
],
[
"Zhang",
"Yun-Long",
""
]
] |
Hydrodynamics with both vector and axial currents is under study within a holographic model, consisting of canonical $U(1)_V\times U(1)_A$ gauge fields in an asymptotically AdS$_5$ black brane. When gravitational back-reaction is taken into account, the chiral electric separation effect (CESE), namely the generation of an axial current as the response to an external electric field, is realized naturally. Via fluid/gravity correspondence, all the first order transport coefficients in the hydrodynamic constitutive relations are evaluated analytically: they are functions of vector chemical potential $\mu$, axial chemical potential $\mu_5$ and the fluid's temperature $T$. Apart from the proportionality factor $\mu\mu_5$, the CESE conductivity is found to be dependent on the dimensionless quantities $\mu/T$ and $\mu_5/T$ nontrivially. As a complementary study, frequency-dependent transport phenomena are revealed through linear response analysis, demonstrating perfect agreement with the results obtained from fluid/gravity correspondence.
|
1409.1538
|
Timothy J. Hollowood
|
Timothy J. Hollowood, J. Luis Miramontes and David M. Schmidtt
|
An Integrable Deformation of the AdS5 x S5 Superstring
|
23 pages, improved and expanded discussion of metric and B field
| null |
10.1088/1751-8113/47/49/495402
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The S-matrix on the world-sheet theory of the string in AdS5 x S5 has
previously been shown to admit a deformation where the symmetry algebra is
replaced by the associated quantum group. The case where q is real has been
identified as a particular deformation of the Green-Schwarz sigma model. An
interpretation of the case with q a root of unity has, until now, been lacking.
We show that the Green-Schwarz sigma model admits a discrete deformation which
can be viewed as a rather simple deformation of the F/F_V gauged WZW model,
where F=PSU(2,2|4). The deformation parameter q is then a k-th root of unity
where k is the level. The deformed theory has the same equations-of-motion as
the Green-Schwarz sigma model but has a different symplectic structure. We show
that the resulting theory is integrable and has just the right amount of
kappa-symmetries that appear as a remnant of the fermionic part of the original
gauge symmetry. This points to the existence of a fully consistent deformed
string background.
|
[
{
"created": "Thu, 4 Sep 2014 19:03:30 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Sep 2014 14:41:49 GMT",
"version": "v2"
}
] |
2015-06-22
|
[
[
"Hollowood",
"Timothy J.",
""
],
[
"Miramontes",
"J. Luis",
""
],
[
"Schmidtt",
"David M.",
""
]
] |
The S-matrix on the world-sheet theory of the string in AdS5 x S5 has previously been shown to admit a deformation where the symmetry algebra is replaced by the associated quantum group. The case where q is real has been identified as a particular deformation of the Green-Schwarz sigma model. An interpretation of the case with q a root of unity has, until now, been lacking. We show that the Green-Schwarz sigma model admits a discrete deformation which can be viewed as a rather simple deformation of the F/F_V gauged WZW model, where F=PSU(2,2|4). The deformation parameter q is then a k-th root of unity where k is the level. The deformed theory has the same equations-of-motion as the Green-Schwarz sigma model but has a different symplectic structure. We show that the resulting theory is integrable and has just the right amount of kappa-symmetries that appear as a remnant of the fermionic part of the original gauge symmetry. This points to the existence of a fully consistent deformed string background.
|
1303.1075
|
Glenn Barnich
|
Glenn Barnich and Hernan Gonzalez
|
Dual dynamics of three dimensional asymptotically flat Einstein gravity
at null infinity
|
31 pages Latex file, v2: minimal changes and corrections
| null |
10.1007/JHEP05(2013)016
|
ULB-TH/12-24
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Starting from the Chern-Simons formulation, the two-dimensional dual theory
for three-dimensional asymptotically flat Einstein gravity at null infinity is
constructed. Solving the constraints together with suitable gauge fixing
conditions gives in a first stage a chiral Wess-Zumino-Witten like model based
on the Poincar\'e algebra in three dimensions. The next stage involves a
Hamiltonian reduction to a BMS3 invariant Liouville theory. These results are
connected to those originally derived in the anti-de Sitter case by rephrasing
the latter in a suitable gauge before taking their flat-space limit.
|
[
{
"created": "Tue, 5 Mar 2013 15:48:51 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Apr 2013 22:27:15 GMT",
"version": "v2"
}
] |
2015-06-15
|
[
[
"Barnich",
"Glenn",
""
],
[
"Gonzalez",
"Hernan",
""
]
] |
Starting from the Chern-Simons formulation, the two-dimensional dual theory for three-dimensional asymptotically flat Einstein gravity at null infinity is constructed. Solving the constraints together with suitable gauge fixing conditions gives in a first stage a chiral Wess-Zumino-Witten like model based on the Poincar\'e algebra in three dimensions. The next stage involves a Hamiltonian reduction to a BMS3 invariant Liouville theory. These results are connected to those originally derived in the anti-de Sitter case by rephrasing the latter in a suitable gauge before taking their flat-space limit.
|
hep-th/0203272
|
Johannes Walcher
|
Radu Roiban, Christian Romelsberger, Johannes Walcher
|
Discrete Torsion in Singular G_2-Manifolds and Real LG
|
71 pages, 4 figures, refs added, signs fixed
|
Adv.Theor.Math.Phys. 6 (2003) 207-278
| null |
CITUSC/02-009, NSF-ITP-02-20
|
hep-th
| null |
We investigate strings at singularities of G_2-holonomy manifolds which arise
in Z_2 orbifolds of Calabi-Yau spaces times a circle. The singularities locally
look like R^4/Z_2 fibered over a SLAG, and can globally be embedded in CICYs in
weighted projective spaces. The local model depends on the choice of a discrete
torsion in the fibration, and the global model on an anti-holomorphic
involution of the Calabi-Yau hypersurface. We determine how these choices are
related to each other by computing a Wilson surface detecting discrete torsion.
We then follow the same orbifolds to the non-geometric Landau-Ginzburg region
of moduli space. We argue that the symmetry-breaking twisted sectors are
effectively captured by real Landau-Ginzburg potentials. In particular, we find
agreement in the low-energy spectra of strings computed from geometry and
Gepner-model CFT. Along the way, we construct the full modular data of
orbifolds of N=2 minimal models by the mirror automorphism, and give a real-LG
interpretation of their modular invariants. Some of the models provide examples
of the mirror-symmetry phenomenon for G_2 holonomy.
|
[
{
"created": "Thu, 28 Mar 2002 20:36:11 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Apr 2002 15:03:42 GMT",
"version": "v2"
},
{
"created": "Fri, 26 Dec 2003 17:43:20 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Roiban",
"Radu",
""
],
[
"Romelsberger",
"Christian",
""
],
[
"Walcher",
"Johannes",
""
]
] |
We investigate strings at singularities of G_2-holonomy manifolds which arise in Z_2 orbifolds of Calabi-Yau spaces times a circle. The singularities locally look like R^4/Z_2 fibered over a SLAG, and can globally be embedded in CICYs in weighted projective spaces. The local model depends on the choice of a discrete torsion in the fibration, and the global model on an anti-holomorphic involution of the Calabi-Yau hypersurface. We determine how these choices are related to each other by computing a Wilson surface detecting discrete torsion. We then follow the same orbifolds to the non-geometric Landau-Ginzburg region of moduli space. We argue that the symmetry-breaking twisted sectors are effectively captured by real Landau-Ginzburg potentials. In particular, we find agreement in the low-energy spectra of strings computed from geometry and Gepner-model CFT. Along the way, we construct the full modular data of orbifolds of N=2 minimal models by the mirror automorphism, and give a real-LG interpretation of their modular invariants. Some of the models provide examples of the mirror-symmetry phenomenon for G_2 holonomy.
|
1206.5839
|
Fl\'avio Coelho
|
Fl\'avio S. Coelho, Carlos Herdeiro, Carmen Rebelo and Marco Sampaio
|
Radiation from a D-dimensional collision of shock waves: higher order
set up and perturbation theory validity
|
21 pages, 3 figures; v2: matches version to Appear in Phys. Rev. D
| null |
10.1103/PhysRevD.87.084034
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The collision of two D-dimensional, ultra-relativistic particles, described
in General Relativity as Aichelberg-Sexl shock waves, is inelastic. In first
order perturbation theory, the fraction of the initial centre of mass energy
radiated away was recently shown to be 1/2 - 1/D. Here, we extend the formalism
to higher orders in perturbation theory, and derive a general expression to
extract the inelasticity, valid non-perturbatively, based on the Bondi mass
loss formula. Then, to clarify why perturbation theory captures relevant
physics of a strong field process in this problem, we provide one variation of
the problem where the perturbative framework breaks down: the collision of
ultra-relativistic charged particles. The addition of charge, and the
associated repulsive nature of the source, originates an extra radiation burst,
which we argue to be an artifact of the perturbative framework, veiling the
relevant physics.
|
[
{
"created": "Mon, 25 Jun 2012 21:02:45 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Mar 2013 23:15:50 GMT",
"version": "v2"
}
] |
2013-04-17
|
[
[
"Coelho",
"Flávio S.",
""
],
[
"Herdeiro",
"Carlos",
""
],
[
"Rebelo",
"Carmen",
""
],
[
"Sampaio",
"Marco",
""
]
] |
The collision of two D-dimensional, ultra-relativistic particles, described in General Relativity as Aichelberg-Sexl shock waves, is inelastic. In first order perturbation theory, the fraction of the initial centre of mass energy radiated away was recently shown to be 1/2 - 1/D. Here, we extend the formalism to higher orders in perturbation theory, and derive a general expression to extract the inelasticity, valid non-perturbatively, based on the Bondi mass loss formula. Then, to clarify why perturbation theory captures relevant physics of a strong field process in this problem, we provide one variation of the problem where the perturbative framework breaks down: the collision of ultra-relativistic charged particles. The addition of charge, and the associated repulsive nature of the source, originates an extra radiation burst, which we argue to be an artifact of the perturbative framework, veiling the relevant physics.
|
1911.02573
|
Matthew Walters
|
Nikhil Anand, Zuhair U. Khandker, Matthew T. Walters
|
Momentum space CFT correlators for Hamiltonian truncation
|
31+9 pages, 2 figures; v2: small typos fixed; v3: minor
clarifications added, typo in AdS expression fixed
| null |
10.1007/JHEP10(2020)095
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider Lorentzian CFT Wightman functions in momentum space. In
particular, we derive a set of reference formulas for computing two- and
three-point functions, restricting our attention to three-point functions where
the middle operator (corresponding to a Hamiltonian density) carries zero
spatial momentum, but otherwise allowing operators to have arbitrary spin. A
direct application of our formulas is the computation of Hamiltonian matrix
elements within the framework of conformal truncation, a recently proposed
method for numerically studying strongly-coupled QFTs in real time and infinite
volume. Our momentum space formulas take the form of finite sums over ${}_2F_1$
hypergeometric functions, allowing for efficient numerical evaluation. As a
concrete application, we work out matrix elements for 3d $\phi^4$-theory, thus
providing the seed ingredients for future truncation studies.
|
[
{
"created": "Wed, 6 Nov 2019 19:00:01 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Jun 2020 19:30:17 GMT",
"version": "v2"
},
{
"created": "Fri, 4 Dec 2020 23:13:17 GMT",
"version": "v3"
}
] |
2020-12-08
|
[
[
"Anand",
"Nikhil",
""
],
[
"Khandker",
"Zuhair U.",
""
],
[
"Walters",
"Matthew T.",
""
]
] |
We consider Lorentzian CFT Wightman functions in momentum space. In particular, we derive a set of reference formulas for computing two- and three-point functions, restricting our attention to three-point functions where the middle operator (corresponding to a Hamiltonian density) carries zero spatial momentum, but otherwise allowing operators to have arbitrary spin. A direct application of our formulas is the computation of Hamiltonian matrix elements within the framework of conformal truncation, a recently proposed method for numerically studying strongly-coupled QFTs in real time and infinite volume. Our momentum space formulas take the form of finite sums over ${}_2F_1$ hypergeometric functions, allowing for efficient numerical evaluation. As a concrete application, we work out matrix elements for 3d $\phi^4$-theory, thus providing the seed ingredients for future truncation studies.
|
2403.11640
|
Swapnil Nitin Shah
|
Swapnil Nitin Shah
|
Quasinormal Modes of Near-Extremal Electric and Magnetic Black Branes
|
27 pages, 7 figures
| null | null | null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
Gauge-gravity duality provides a robust mathematical framework for studying
the behavior of strongly coupled non-abelian plasmas both near and far away
from thermodynamic equilibrium. In particular, their near-equilibrium transport
coefficients such as viscosity, conductivity, diffusion constants, etc. can be
determined from poles of the retarded Green's function which are the
dissipative eigenmodes i.e., the quasinormal modes (QNMs) of the dual
gravitational field equations. The AdS5/CFT4 correspondence admits the
description of a strongly coupled $\mathcal{N}$= 4 Supersymmetric Yang Mills
(SYM) plasma at non-zero temperature as a dual AdS5 black brane geometry. We
demonstrate the application of pseudospectral methods to solving the dual
Einstein field equations using the example of homogenous isotropization in
$\mathcal{N}$= 4 SYM plasma far from equilibrium. Using this framework, we also
compute the quasinormal modes of electrically (Reissner-Nordstrom) and
magnetically charged AdS5 black branes for the case of vanishing spatial
momenta. The near-extremal behavior of these QNMs is analyzed for both types of
black branes.
|
[
{
"created": "Mon, 18 Mar 2024 10:23:59 GMT",
"version": "v1"
}
] |
2024-03-19
|
[
[
"Shah",
"Swapnil Nitin",
""
]
] |
Gauge-gravity duality provides a robust mathematical framework for studying the behavior of strongly coupled non-abelian plasmas both near and far away from thermodynamic equilibrium. In particular, their near-equilibrium transport coefficients such as viscosity, conductivity, diffusion constants, etc. can be determined from poles of the retarded Green's function which are the dissipative eigenmodes i.e., the quasinormal modes (QNMs) of the dual gravitational field equations. The AdS5/CFT4 correspondence admits the description of a strongly coupled $\mathcal{N}$= 4 Supersymmetric Yang Mills (SYM) plasma at non-zero temperature as a dual AdS5 black brane geometry. We demonstrate the application of pseudospectral methods to solving the dual Einstein field equations using the example of homogenous isotropization in $\mathcal{N}$= 4 SYM plasma far from equilibrium. Using this framework, we also compute the quasinormal modes of electrically (Reissner-Nordstrom) and magnetically charged AdS5 black branes for the case of vanishing spatial momenta. The near-extremal behavior of these QNMs is analyzed for both types of black branes.
|
hep-th/0205030
|
Chand Devchand
|
Dmitri V. Alekseevsky, Vicente Cort\'es, Chandrashekar Devchand
|
Partially-flat gauge fields on manifolds of dimension greater than four
|
8 pages
| null | null | null |
hep-th math.DG
| null |
We describe two extensions of the notion of a self-dual connection in a
vector bundle over a manifold M from dim M=4 to higher dimensions. The first
extension, Omega-self-duality, is based on the existence of an appropriate
4-form Omega on the Riemannian manifold M and yields solutions of the
Yang-Mills equations. The second is the notion of half-flatness, which is
defined for manifolds with certain Grassmann structure T^C M \cong E \otimes H.
In some cases, for example for hyper-Kaehler manifolds M, half-flatness implies
Omega-self-duality. A construction of half-flat connections inspired by the
harmonic space approach is described. Locally, any such connection can be
obtained from a free prepotential by solving a system of linear first order
ODEs.
|
[
{
"created": "Fri, 3 May 2002 16:22:43 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Sep 2002 09:08:26 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Alekseevsky",
"Dmitri V.",
""
],
[
"Cortés",
"Vicente",
""
],
[
"Devchand",
"Chandrashekar",
""
]
] |
We describe two extensions of the notion of a self-dual connection in a vector bundle over a manifold M from dim M=4 to higher dimensions. The first extension, Omega-self-duality, is based on the existence of an appropriate 4-form Omega on the Riemannian manifold M and yields solutions of the Yang-Mills equations. The second is the notion of half-flatness, which is defined for manifolds with certain Grassmann structure T^C M \cong E \otimes H. In some cases, for example for hyper-Kaehler manifolds M, half-flatness implies Omega-self-duality. A construction of half-flat connections inspired by the harmonic space approach is described. Locally, any such connection can be obtained from a free prepotential by solving a system of linear first order ODEs.
|
1408.4216
|
Reiji Yoshioka
|
Hiroshi Itoyama, Takeshi Oota, Reiji Yoshioka
|
$q$-Virasoro/W Algebra at Root of Unity and Parafermions
|
13 pages, 1 figure; v2: references added, minor corrections made
| null |
10.1016/j.nuclphysb.2014.10.006
|
OCU-PHYS 405
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We demonstrate that the parafermions appear in the $r$-th root of unity limit
of $q$-Virasoro/$W_n$ algebra. The proper value of the central charge of the
coset model $ \frac{\widehat{\mathfrak{sl}}(n)_r \oplus
\widehat{\mathfrak{sl}}(n)_{m-n}}{\widehat{\mathfrak{sl}}(n)_{m-n+r}}$ is given
from the parafermion construction of the block in the limit.
|
[
{
"created": "Tue, 19 Aug 2014 06:08:11 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Aug 2014 11:38:23 GMT",
"version": "v2"
}
] |
2015-06-22
|
[
[
"Itoyama",
"Hiroshi",
""
],
[
"Oota",
"Takeshi",
""
],
[
"Yoshioka",
"Reiji",
""
]
] |
We demonstrate that the parafermions appear in the $r$-th root of unity limit of $q$-Virasoro/$W_n$ algebra. The proper value of the central charge of the coset model $ \frac{\widehat{\mathfrak{sl}}(n)_r \oplus \widehat{\mathfrak{sl}}(n)_{m-n}}{\widehat{\mathfrak{sl}}(n)_{m-n+r}}$ is given from the parafermion construction of the block in the limit.
|
2007.04977
|
Rafael A. Porto
|
Gregor K\"alin, Zhengwen Liu and Rafael A. Porto
|
Conservative Dynamics of Binary Systems to Third Post-Minkowskian Order
from the Effective Field Theory Approach
|
7 pages. 1 figure. v2: Typos and misprints fixed (notably in Eq. 19).
To appear in Phys. Rev. Lett
|
Phys. Rev. Lett. 125, 261103 (2020)
|
10.1103/PhysRevLett.125.261103
|
DESY 20-114, SLAC-PUB-17545
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive the conservative dynamics of non-spinning binaries to third
Post-Minkowskian order, using the Effective Field Theory (EFT) approach
introduced in [2006.01184] together with the Boundary-to-Bound dictionary
developed in [1910.03008, 1911.09130]. The main ingredient is the scattering
angle, which we compute to ${\cal O}(G^3)$ via Feynman diagrams. Adapting to
the EFT framework powerful tools from the amplitudes program, we show how the
associated (master) integrals are bootstrapped to all orders in velocities via
differential equations. Remarkably, the boundary conditions can be reduced to
the same integrals that appear in the EFT with Post-Newtonian sources. For the
sake of comparison, we reconstruct the Hamiltonian and the classical limit of
the scattering amplitude. Our results are in perfect agreement with those in
Bern et al. [1901.04424, 1908.01493].
|
[
{
"created": "Thu, 9 Jul 2020 17:59:46 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Dec 2020 11:54:35 GMT",
"version": "v2"
}
] |
2021-01-04
|
[
[
"Kälin",
"Gregor",
""
],
[
"Liu",
"Zhengwen",
""
],
[
"Porto",
"Rafael A.",
""
]
] |
We derive the conservative dynamics of non-spinning binaries to third Post-Minkowskian order, using the Effective Field Theory (EFT) approach introduced in [2006.01184] together with the Boundary-to-Bound dictionary developed in [1910.03008, 1911.09130]. The main ingredient is the scattering angle, which we compute to ${\cal O}(G^3)$ via Feynman diagrams. Adapting to the EFT framework powerful tools from the amplitudes program, we show how the associated (master) integrals are bootstrapped to all orders in velocities via differential equations. Remarkably, the boundary conditions can be reduced to the same integrals that appear in the EFT with Post-Newtonian sources. For the sake of comparison, we reconstruct the Hamiltonian and the classical limit of the scattering amplitude. Our results are in perfect agreement with those in Bern et al. [1901.04424, 1908.01493].
|
1206.6781
|
Hee-Cheol Kim
|
Hee-Cheol Kim, Sung-Soo Kim, Kimyeong Lee
|
5-dim Superconformal Index with Enhanced En Global Symmetry
|
70 pages, references added, published version
|
JHEP 1210 (2012) 142
|
10.1007/JHEP10(2012)142
|
KIAS-P12033
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The five-dimensional $\mathcal{N}=1$ supersymmetric gauge theory with Sp(N)
gauge group and SO(2N_f) flavor symmetry describes the physics on N D4-branes
with $N_f$ D8-branes on top of a single O8 orientifold plane in Type I' theory.
This theory is known to be superconformal at the strong coupling limit with the
enhanced global symmetry $E_{N_f+1}$ for $N_f\le 7$. In this work we calculate
the superconformal index on $S^1\times S^4$ for the Sp(1) gauge theory by the
localization method and confirm such enhancement of the global symmetry at the
superconformal limit for $N_f\le 5$ to a few leading orders in the chemical
potential. Both perturbative and (anti)instanton contributions are present in
this calculation. For $N_f=6,7$ cases some issues related the pole structure of
the instanton calculation could not be resolved and here we could provide only
some suggestive answer for the leading contributions to the index. For the
Sp(N) case, similar issues related to the pole structure appear.
|
[
{
"created": "Thu, 28 Jun 2012 18:01:56 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Nov 2012 10:33:58 GMT",
"version": "v2"
}
] |
2012-11-02
|
[
[
"Kim",
"Hee-Cheol",
""
],
[
"Kim",
"Sung-Soo",
""
],
[
"Lee",
"Kimyeong",
""
]
] |
The five-dimensional $\mathcal{N}=1$ supersymmetric gauge theory with Sp(N) gauge group and SO(2N_f) flavor symmetry describes the physics on N D4-branes with $N_f$ D8-branes on top of a single O8 orientifold plane in Type I' theory. This theory is known to be superconformal at the strong coupling limit with the enhanced global symmetry $E_{N_f+1}$ for $N_f\le 7$. In this work we calculate the superconformal index on $S^1\times S^4$ for the Sp(1) gauge theory by the localization method and confirm such enhancement of the global symmetry at the superconformal limit for $N_f\le 5$ to a few leading orders in the chemical potential. Both perturbative and (anti)instanton contributions are present in this calculation. For $N_f=6,7$ cases some issues related the pole structure of the instanton calculation could not be resolved and here we could provide only some suggestive answer for the leading contributions to the index. For the Sp(N) case, similar issues related to the pole structure appear.
|
hep-th/0509203
|
Ergin Sezgin
|
E. Bergshoeff, D.C. Jong and E. Sezgin
|
Noncompact gaugings, chiral reduction and dual sigma models in
supergravity
|
41 pages, latex
|
Class.Quant.Grav.23:2803-2832,2006
|
10.1088/0264-9381/23/9/003
| null |
hep-th
| null |
We show that the half-maximal SU(2) gauged supergravity with topological mass
term admits coupling of an arbitrary number of n vector multiplets. The chiral
circle reduction of the ungauged theory in the dual 2-form formulation gives
N=(1,0) supergravity in 6D coupled to 3p scalars that parametrize the coset
SO(p,3)/SO(p)x SO(3), a dilaton and (p+3) axions with p < n+1. Demanding that
R-symmetry gauging survives in 6D is shown to put severe restrictions on the 7D
model, in particular requiring noncompact gaugings. We find that the SO(2,2)
and SO(3,1) gauged 7D supergravities give a U(1)_R, and the SO(2,1) gauged 7D
supergravity gives an Sp(1)_R gauged chiral 6D supergravities coupled to
certain matter multiplets. In the 6D models obtained, with or without gauging,
we show that the scalar fields of the matter sector parametrize the coset
SO(p+1,4)/SO(p+1)x SO(4), with the (p+3) axions corresponding to its abelian
isometries. In the ungauged 6D models, upon dualizing the axions to 4-form
potentials, we obtain coupling of p linear multiplets and one special linear
multiplet to chiral 6D supergravity.
|
[
{
"created": "Tue, 27 Sep 2005 19:43:40 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Bergshoeff",
"E.",
""
],
[
"Jong",
"D. C.",
""
],
[
"Sezgin",
"E.",
""
]
] |
We show that the half-maximal SU(2) gauged supergravity with topological mass term admits coupling of an arbitrary number of n vector multiplets. The chiral circle reduction of the ungauged theory in the dual 2-form formulation gives N=(1,0) supergravity in 6D coupled to 3p scalars that parametrize the coset SO(p,3)/SO(p)x SO(3), a dilaton and (p+3) axions with p < n+1. Demanding that R-symmetry gauging survives in 6D is shown to put severe restrictions on the 7D model, in particular requiring noncompact gaugings. We find that the SO(2,2) and SO(3,1) gauged 7D supergravities give a U(1)_R, and the SO(2,1) gauged 7D supergravity gives an Sp(1)_R gauged chiral 6D supergravities coupled to certain matter multiplets. In the 6D models obtained, with or without gauging, we show that the scalar fields of the matter sector parametrize the coset SO(p+1,4)/SO(p+1)x SO(4), with the (p+3) axions corresponding to its abelian isometries. In the ungauged 6D models, upon dualizing the axions to 4-form potentials, we obtain coupling of p linear multiplets and one special linear multiplet to chiral 6D supergravity.
|
0911.4324
|
Daniel Jafferis
|
Daniel Louis Jafferis
|
Quantum corrections to N=2 Chern-Simons theories with flavor and their
AdS4 duals
|
25 pages, 2 figures; typos corrected, discussion of Higgs branch with
N_f=1 clarified, references added
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We add fundamental flavors to N=2 Chern-Simons-matter theories living on M2
branes probing a Calabi-Yau four-fold singularity. This is dual, in the 't
Hooft limit described by IIA string theory, to the introduction of
supersymmetric D6 branes wrapping AdS4 and a 3-cycle of the internal manifold.
The resulting Chern-Simons theories remain conformally invariant, corresponding
to the fact that the D6 branes lift to pure geometry in M-theory. The
determination of the moduli space relies crucially on the 1-loop contributions
to charges and OPE's of monopole operators in these field theories. The general
picture is determined for non-chiral and chiral flavors, and is illustrated in
several examples.
|
[
{
"created": "Mon, 23 Nov 2009 18:34:39 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Jan 2010 22:22:23 GMT",
"version": "v2"
}
] |
2010-01-28
|
[
[
"Jafferis",
"Daniel Louis",
""
]
] |
We add fundamental flavors to N=2 Chern-Simons-matter theories living on M2 branes probing a Calabi-Yau four-fold singularity. This is dual, in the 't Hooft limit described by IIA string theory, to the introduction of supersymmetric D6 branes wrapping AdS4 and a 3-cycle of the internal manifold. The resulting Chern-Simons theories remain conformally invariant, corresponding to the fact that the D6 branes lift to pure geometry in M-theory. The determination of the moduli space relies crucially on the 1-loop contributions to charges and OPE's of monopole operators in these field theories. The general picture is determined for non-chiral and chiral flavors, and is illustrated in several examples.
|
0710.0374
|
Francesco Benini
|
Francesco Benini (SISSA, Trieste and INFN, Trieste)
|
A chiral cascade via backreacting D7-branes with flux
|
40 pages, 7 figures; v2: minor changes and refs added
|
JHEP 0810:051,2008
|
10.1088/1126-6708/2008/10/051
|
SISSA 67/2007/EP
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the context of AdS/CFT, we consider a cascading theory with an arbitrarily
large number of chiral flavors. In the UV the theory can be considered as a
chiral flavoring of the Klebanov-Tseytlin solution, and exhibits a duality
wall. Instead in the IR, due to the rich dynamics, it safely flows to a
non-cascading theory. We engineer the field theory through intersecting
D7-branes with world-volume gauge flux on a conifold with 3-form fluxes, and we
find new fully backreacted solutions of Type IIB Supergravity plus branes. We
match the field theory cascade with supergravity by computing Page charges and
interpreting Seiberg dualities as large gauge transformations of the
background. Eventually we give an interpretation of the chiral zero modes
arising at the intersection of the D7-branes with flux.
|
[
{
"created": "Mon, 1 Oct 2007 20:00:14 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Aug 2008 16:43:30 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Benini",
"Francesco",
"",
"SISSA, Trieste and INFN, Trieste"
]
] |
In the context of AdS/CFT, we consider a cascading theory with an arbitrarily large number of chiral flavors. In the UV the theory can be considered as a chiral flavoring of the Klebanov-Tseytlin solution, and exhibits a duality wall. Instead in the IR, due to the rich dynamics, it safely flows to a non-cascading theory. We engineer the field theory through intersecting D7-branes with world-volume gauge flux on a conifold with 3-form fluxes, and we find new fully backreacted solutions of Type IIB Supergravity plus branes. We match the field theory cascade with supergravity by computing Page charges and interpreting Seiberg dualities as large gauge transformations of the background. Eventually we give an interpretation of the chiral zero modes arising at the intersection of the D7-branes with flux.
|
hep-th/0402116
|
Lahouari Mesref
|
L. Mesref
|
q-deformed conformal correlation functions
|
13 pages, minor corrections, Journal-ref added
|
Int. J. Mod. Phys. A20, 1471 (2005)
|
10.1142/S0217751X05022834
| null |
hep-th
| null |
A q-analogue of four dimensional conformally invariant field theory based on
the quantum algebra U_{q}(so(4,2)) is proposed. The two- and three-point
correlation functions are calculated. The construction is elaborated in order
to fit the Hopf algebra structure.
|
[
{
"created": "Mon, 16 Feb 2004 18:36:41 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Feb 2004 17:52:44 GMT",
"version": "v2"
},
{
"created": "Tue, 12 Apr 2005 10:54:11 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Mesref",
"L.",
""
]
] |
A q-analogue of four dimensional conformally invariant field theory based on the quantum algebra U_{q}(so(4,2)) is proposed. The two- and three-point correlation functions are calculated. The construction is elaborated in order to fit the Hopf algebra structure.
|
hep-th/0411264
|
James Sparks
|
Sergio Benvenuti, Sebastian Franco, Amihay Hanany, Dario Martelli,
James Sparks
|
An Infinite Family of Superconformal Quiver Gauge Theories with
Sasaki-Einstein Duals
|
31 pages, 9 figures; v2: Geometric interpretation of Higgsing given,
discussion of baryons added, minor corrections
|
JHEP0506:064,2005
|
10.1088/1126-6708/2005/06/064
|
MIT-CTP-3570, CERN-PH-TH/2004-235, HUTP-04/A0050
|
hep-th
| null |
We describe an infinite family of quiver gauge theories that are AdS/CFT dual
to a corresponding class of explicit horizon Sasaki-Einstein manifolds. The
quivers may be obtained from a family of orbifold theories by a simple
iterative procedure. A key aspect in their construction relies on the global
symmetry which is dual to the isometry of the manifolds. For an arbitrary such
quiver we compute the exact R-charges of the fields in the IR by applying
a-maximization. The values we obtain are generically quadratic irrational
numbers and agree perfectly with the central charges and baryon charges
computed from the family of metrics using the AdS/CFT correspondence. These
results open the way for a systematic study of the quiver gauge theories and
their dual geometries.
|
[
{
"created": "Mon, 29 Nov 2004 19:58:44 GMT",
"version": "v1"
},
{
"created": "Sun, 20 Mar 2005 19:01:38 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Benvenuti",
"Sergio",
""
],
[
"Franco",
"Sebastian",
""
],
[
"Hanany",
"Amihay",
""
],
[
"Martelli",
"Dario",
""
],
[
"Sparks",
"James",
""
]
] |
We describe an infinite family of quiver gauge theories that are AdS/CFT dual to a corresponding class of explicit horizon Sasaki-Einstein manifolds. The quivers may be obtained from a family of orbifold theories by a simple iterative procedure. A key aspect in their construction relies on the global symmetry which is dual to the isometry of the manifolds. For an arbitrary such quiver we compute the exact R-charges of the fields in the IR by applying a-maximization. The values we obtain are generically quadratic irrational numbers and agree perfectly with the central charges and baryon charges computed from the family of metrics using the AdS/CFT correspondence. These results open the way for a systematic study of the quiver gauge theories and their dual geometries.
|
2107.03680
|
Aristomenis Donos
|
Aristomenis Donos and Polydoros Kailidis and Christiana Pantelidou
|
Dissipation in Holographic Superfluids
|
31 pages, 5 figures, version accepted at JHEP
| null |
10.1007/JHEP09(2021)134
|
DCPT-21/11
|
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We study dissipation in holographic superfluids at finite temperature and
zero chemical potential. The zero overlap with the heat current allows us to
isolate the physics of the conserved current corresponding to the broken global
$U(1)$. By using analytic techniques we write constitutive relations including
the first non-trivial dissipative terms. The corresponding transport
coefficients are determined in terms of thermodynamic quantities and the black
hole horizon data. By analysing their behaviour close to the phase transition
we show explicitly the breakdown of the hydrodynamic expansion. Finally, we
study the pseudo-Goldstone mode that emerges upon introducing a perturbative
symmetry breaking source and we determine its resonant frequency and decay
rate.
|
[
{
"created": "Thu, 8 Jul 2021 08:53:43 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Sep 2021 11:51:38 GMT",
"version": "v2"
}
] |
2021-10-04
|
[
[
"Donos",
"Aristomenis",
""
],
[
"Kailidis",
"Polydoros",
""
],
[
"Pantelidou",
"Christiana",
""
]
] |
We study dissipation in holographic superfluids at finite temperature and zero chemical potential. The zero overlap with the heat current allows us to isolate the physics of the conserved current corresponding to the broken global $U(1)$. By using analytic techniques we write constitutive relations including the first non-trivial dissipative terms. The corresponding transport coefficients are determined in terms of thermodynamic quantities and the black hole horizon data. By analysing their behaviour close to the phase transition we show explicitly the breakdown of the hydrodynamic expansion. Finally, we study the pseudo-Goldstone mode that emerges upon introducing a perturbative symmetry breaking source and we determine its resonant frequency and decay rate.
|
hep-th/9911006
|
Pradip Mukherjee
|
P. Mukherjee
|
Soliton solutions of a gauged O(3) sigma model with interpolating
potential
|
Modified title and author list, revised substantially, new section
added, 9 pages, revtex
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Soliton modes in a gauged sigma model with interpolating potential have been
investigated. Numerical solutions using a fourth order Runge -- Kutta method
are discussed. By tuning the interpolation parameter the transition from
symmetrybreaking to the symmetric phase is highlighted.
|
[
{
"created": "Tue, 2 Nov 1999 11:47:49 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Jan 2000 07:50:25 GMT",
"version": "v2"
},
{
"created": "Sun, 13 Dec 2009 06:09:35 GMT",
"version": "v3"
}
] |
2009-12-13
|
[
[
"Mukherjee",
"P.",
""
]
] |
Soliton modes in a gauged sigma model with interpolating potential have been investigated. Numerical solutions using a fourth order Runge -- Kutta method are discussed. By tuning the interpolation parameter the transition from symmetrybreaking to the symmetric phase is highlighted.
|
hep-th/9607112
|
Itzhak Bars
|
Itzhak Bars
|
S-Theory
|
Latex, 18 papges
|
Phys.Rev. D55 (1997) 2373-2381
|
10.1103/PhysRevD.55.2373
|
USC-96/HEP-B4
|
hep-th
| null |
The representation theory of the maximally extended superalgebra with 32
fermionic and 528 bosonic generators is developed in order to investigate
non-perturbative properties of the democratic secret theory behind strings and
other p-branes. The presence of Lorentz non-singlet central extensions is
emphasized, their role for understanding up to 13 hidden dimensions and their
physical interpretation as boundaries of p-branes is elucidated. The criteria
for a new larger set of BPS-like non-perturbative states is given and the
methods of investigation are illustrated with several explicit examples.
|
[
{
"created": "Mon, 15 Jul 1996 01:38:37 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Bars",
"Itzhak",
""
]
] |
The representation theory of the maximally extended superalgebra with 32 fermionic and 528 bosonic generators is developed in order to investigate non-perturbative properties of the democratic secret theory behind strings and other p-branes. The presence of Lorentz non-singlet central extensions is emphasized, their role for understanding up to 13 hidden dimensions and their physical interpretation as boundaries of p-branes is elucidated. The criteria for a new larger set of BPS-like non-perturbative states is given and the methods of investigation are illustrated with several explicit examples.
|
hep-th/9203040
|
Jorge Pullin
|
Bernd Bruegmann, Rodolfo Gambini, Jorge Pullin
|
How the Jones Polynomial Gives Rise to Physical States of Quantum
General Relativity
|
7pp
|
Gen.Rel.Grav.25:1-6,1993
|
10.1007/BF00756923
| null |
hep-th
| null |
Solutions to both the diffeomorphism and the hamiltonian constraint of
quantum gravity have been found in the loop representation, which is based on
Ashtekar's new variables. While the diffeomorphism constraint is easily solved
by considering loop functionals which are knot invariants, there remains the
puzzle why several of the known knot invariants are also solutions to the
hamiltonian constraint. We show how the Jones polynomial gives rise to an
infinite set of solutions to all the constraints of quantum gravity thereby
illuminating the structure of the space of solutions and suggesting the
existance of a deep connection between quantum gravity and knot theory at a
dynamical level.
|
[
{
"created": "Tue, 17 Mar 1992 17:54:05 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Bruegmann",
"Bernd",
""
],
[
"Gambini",
"Rodolfo",
""
],
[
"Pullin",
"Jorge",
""
]
] |
Solutions to both the diffeomorphism and the hamiltonian constraint of quantum gravity have been found in the loop representation, which is based on Ashtekar's new variables. While the diffeomorphism constraint is easily solved by considering loop functionals which are knot invariants, there remains the puzzle why several of the known knot invariants are also solutions to the hamiltonian constraint. We show how the Jones polynomial gives rise to an infinite set of solutions to all the constraints of quantum gravity thereby illuminating the structure of the space of solutions and suggesting the existance of a deep connection between quantum gravity and knot theory at a dynamical level.
|
hep-th/9602174
| null |
G. Bonelli and M. Matone
|
Nonperturbative Renormalization Group Equation and Beta Function in N=2
SUSY Yang-Mills
|
LaTex, 10 pg. Expanded introduction, references added, to appear in
Phys. Rev. Lett
|
Phys.Rev.Lett. 76 (1996) 4107-4110
|
10.1103/PhysRevLett.76.4107
|
DFPD/95/TH/42
|
hep-th
| null |
We obtain the exact beta function for $N=2$ SUSY $SU(2)$ Yang-Mills theory
and prove the nonperturbative Renormalization Group Equation $$
\partial_\Lambda{\cal F}(a,\Lambda)= {\Lambda\over
\Lambda_0}\partial_{\Lambda_0}{\cal F}(a_0,\Lambda_0) e^{-2\int_{\tau_0}^\tau
{dx \beta^{-1}(x)}}. $$
|
[
{
"created": "Thu, 29 Feb 1996 15:58:52 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Apr 1996 16:58:26 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Bonelli",
"G.",
""
],
[
"Matone",
"M.",
""
]
] |
We obtain the exact beta function for $N=2$ SUSY $SU(2)$ Yang-Mills theory and prove the nonperturbative Renormalization Group Equation $$ \partial_\Lambda{\cal F}(a,\Lambda)= {\Lambda\over \Lambda_0}\partial_{\Lambda_0}{\cal F}(a_0,\Lambda_0) e^{-2\int_{\tau_0}^\tau {dx \beta^{-1}(x)}}. $$
|
0707.4254
|
Radu Roiban
|
M. Kruczenski, R. Roiban, A. Tirziu, A.A. Tseytlin
|
Strong-coupling expansion of cusp anomaly and gluon amplitudes from
quantum open strings in AdS_5 x S^5
|
35 pages. v2: minor corrections, references added
|
Nucl.Phys.B791:93-124,2008
|
10.1016/j.nuclphysb.2007.09.005
|
IMPERIAL-TP-AT-2007-2
|
hep-th
| null |
An important ``observable'' of planar N=4 SYM theory is the scaling function
f(lambda) that appears in the anomalous dimension of large spin twist 2
operators and also in the cusp anomaly of light-like Wilson loops. The
non-trivial relation between the anomalous dimension and the Wilson
interpretations of f(lambda) is well-understood on the perturbative gauge
theory side of the AdS/CFT duality. In the first part of this paper we present
the dual string-theory counterpart of this relation, to all orders in
lambda^(-1/2) expansion. As a check, we explicitly compute the leading 1-loop
string sigma model correction to the cusp Wilson loop, reproducing the same
subleading coefficient in f(lambda) as found earlier in the spinning closed
string case. The same function f(lambda) appears also in the resummed form of
the 4-gluon amplitude as discussed at weak coupling by Bern, Dixon and Smirnov
and recently found at the leading order at strong coupling by Alday and
Maldacena (AM). Here we attempt to extend this approach to subleading order in
lambda^(-1/2) by computing the IR singular part of 1-loop string correction to
the corresponding T-dual Wilson loop. We discuss explicitly the 1-cusp case and
comment on apparent problems with the dimensional regularization proposal of AM
when directly applied order by order in strong coupling (inverse string
tension) expansion.
|
[
{
"created": "Sat, 28 Jul 2007 18:34:04 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Aug 2007 12:56:23 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Kruczenski",
"M.",
""
],
[
"Roiban",
"R.",
""
],
[
"Tirziu",
"A.",
""
],
[
"Tseytlin",
"A. A.",
""
]
] |
An important ``observable'' of planar N=4 SYM theory is the scaling function f(lambda) that appears in the anomalous dimension of large spin twist 2 operators and also in the cusp anomaly of light-like Wilson loops. The non-trivial relation between the anomalous dimension and the Wilson interpretations of f(lambda) is well-understood on the perturbative gauge theory side of the AdS/CFT duality. In the first part of this paper we present the dual string-theory counterpart of this relation, to all orders in lambda^(-1/2) expansion. As a check, we explicitly compute the leading 1-loop string sigma model correction to the cusp Wilson loop, reproducing the same subleading coefficient in f(lambda) as found earlier in the spinning closed string case. The same function f(lambda) appears also in the resummed form of the 4-gluon amplitude as discussed at weak coupling by Bern, Dixon and Smirnov and recently found at the leading order at strong coupling by Alday and Maldacena (AM). Here we attempt to extend this approach to subleading order in lambda^(-1/2) by computing the IR singular part of 1-loop string correction to the corresponding T-dual Wilson loop. We discuss explicitly the 1-cusp case and comment on apparent problems with the dimensional regularization proposal of AM when directly applied order by order in strong coupling (inverse string tension) expansion.
|
1404.7767
|
Doron Gepner R
|
Arel Genish and Doron Gepner
|
New String Theories And Their Generation Number
|
18 pages, 1 table and no figures
| null |
10.1016/j.nuclphysb.2014.05.019
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
New heterotic string theories in four dimensions are constructed by tensoring
a nonstandard SCFT along with some minimal SCFT's. All such theories are
identified and their particle generation number is found. We prove that from
the infinite number of new heterotic string theories only the {6} theory
predicts three generations as seen in nature which makes it an interesting
candidate for further study.
|
[
{
"created": "Wed, 30 Apr 2014 15:52:21 GMT",
"version": "v1"
}
] |
2015-06-19
|
[
[
"Genish",
"Arel",
""
],
[
"Gepner",
"Doron",
""
]
] |
New heterotic string theories in four dimensions are constructed by tensoring a nonstandard SCFT along with some minimal SCFT's. All such theories are identified and their particle generation number is found. We prove that from the infinite number of new heterotic string theories only the {6} theory predicts three generations as seen in nature which makes it an interesting candidate for further study.
|
hep-th/0012165
|
Soo-Jong Rey
|
Sei-Hoon Moon, Soo-Jong Rey, Yoon-Bai Kim
|
Global p-Brane World: A New Approach to Stable Mass Hierarchy
|
21 pages, Latex, 1 eps figure; final version to appear in Nuclear
Physics B
|
Nucl.Phys. B602 (2001) 467-485
|
10.1016/S0550-3213(01)00136-5
| null |
hep-th
| null |
We find a class of extremal black hole-like global p-brane in
higher-dimensional gravity with a negative cosmological constant. The region
inside the p-brane horizon possesses all essential features required for the
Randall-Sundrum-type brane world scenario. The set-up allows to interpret the
horizon size as the compactification size in that the Planck scale is
determined by the fundamental scale M* and the horizon size r_H via the
familiar relation M_Pl^2 ~ M*^{2+n} r_{H}^n, and the gravity behaves as
expected in a world with n-extra dimensions compactified with size r_H. Most
importantly, a stable mass hierarchy between M_Pl and M* can be generated from
topological charge of the p-brane and the horizon size r_H therein. We also
offer a new perspective on various issues associated to the brane world
scenarios including the cosmological constant problem.
|
[
{
"created": "Tue, 19 Dec 2000 09:10:17 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Mar 2001 10:31:12 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Moon",
"Sei-Hoon",
""
],
[
"Rey",
"Soo-Jong",
""
],
[
"Kim",
"Yoon-Bai",
""
]
] |
We find a class of extremal black hole-like global p-brane in higher-dimensional gravity with a negative cosmological constant. The region inside the p-brane horizon possesses all essential features required for the Randall-Sundrum-type brane world scenario. The set-up allows to interpret the horizon size as the compactification size in that the Planck scale is determined by the fundamental scale M* and the horizon size r_H via the familiar relation M_Pl^2 ~ M*^{2+n} r_{H}^n, and the gravity behaves as expected in a world with n-extra dimensions compactified with size r_H. Most importantly, a stable mass hierarchy between M_Pl and M* can be generated from topological charge of the p-brane and the horizon size r_H therein. We also offer a new perspective on various issues associated to the brane world scenarios including the cosmological constant problem.
|
hep-th/9506189
|
Sasha Polyakov
|
A.Polyakov
|
Turbulence without pressure
|
12 pages
| null |
10.1103/PhysRevE.52.6183
|
PUPT-1546
|
hep-th
| null |
We develop exact field theoretic methods to treat turbulence when the effect
of pressure is negligible. We find explicit forms of certain probability
distributions, demonstrate that the breakdown of Galilean invariance is
responsible for intermittency and establish the operator product expansion. We
also indicate how the effects of pressure can be turned on perturbatively.
|
[
{
"created": "Wed, 28 Jun 1995 21:49:21 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Polyakov",
"A.",
""
]
] |
We develop exact field theoretic methods to treat turbulence when the effect of pressure is negligible. We find explicit forms of certain probability distributions, demonstrate that the breakdown of Galilean invariance is responsible for intermittency and establish the operator product expansion. We also indicate how the effects of pressure can be turned on perturbatively.
|
hep-th/0010019
|
Davoud Kamani
|
Davoud Kamani
|
T-Duality and Mixed Branes
|
8 Pages, Latex, No figure, Published in Phys. Lett. B487(2000)187
|
Phys.Lett. B487 (2000) 187-191
|
10.1016/S0370-2693(00)00800-5
| null |
hep-th
| null |
In this article the action of T-duality on a mixed brane is studied in the
boundary state formalism. We also obtain a two dimensional mixed brane with
non-zero electric and magnetic fields, from a D$_1$-brane.
|
[
{
"created": "Wed, 4 Oct 2000 09:38:58 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Kamani",
"Davoud",
""
]
] |
In this article the action of T-duality on a mixed brane is studied in the boundary state formalism. We also obtain a two dimensional mixed brane with non-zero electric and magnetic fields, from a D$_1$-brane.
|
hep-th/9505105
|
Cumrun Vafa
|
Shamit Kachru and Cumrun Vafa
|
Exact Results for N=2 Compactifications of Heterotic Strings
|
30 pages, Expansions and Modifications on more potential dual pairs
involving K3 fibrations. Version to appear in Nuclear Physics B
|
Nucl.Phys.B450:69-89,1995
|
10.1016/0550-3213(95)00307-E
|
HUTP-95/A016
|
hep-th
| null |
We search for $N=2$, $d=4$ theories which can be realized both as heterotic
string compactifications on $K_{3}\times T^{2}$ and as type II string
compactifications on Calabi-Yau threefolds. In such cases, the exact
non-perturbative superpotential of one string theory is given in terms of tree
level computations in the other string theory. In particular we find concrete
examples which provide the stringy realization of the results of Seiberg and
Witten on N=2 Yang-Mills theory, corrected by gravitational/stringy effects. We
also discuss some examples which shed light on how the moduli spaces of
different N=2 heterotic vacua are connected.
|
[
{
"created": "Wed, 17 May 1995 13:45:07 GMT",
"version": "v1"
},
{
"created": "Wed, 24 May 1995 19:38:11 GMT",
"version": "v2"
},
{
"created": "Tue, 1 Aug 1995 15:24:27 GMT",
"version": "v3"
}
] |
2009-07-09
|
[
[
"Kachru",
"Shamit",
""
],
[
"Vafa",
"Cumrun",
""
]
] |
We search for $N=2$, $d=4$ theories which can be realized both as heterotic string compactifications on $K_{3}\times T^{2}$ and as type II string compactifications on Calabi-Yau threefolds. In such cases, the exact non-perturbative superpotential of one string theory is given in terms of tree level computations in the other string theory. In particular we find concrete examples which provide the stringy realization of the results of Seiberg and Witten on N=2 Yang-Mills theory, corrected by gravitational/stringy effects. We also discuss some examples which shed light on how the moduli spaces of different N=2 heterotic vacua are connected.
|
hep-th/0103089
|
Marcos Marino
|
Marcos Marino
|
On the BV formulation of boundary superstring field theory
|
11 pages, harvmac
|
JHEP 0106:059,2001
|
10.1088/1126-6708/2001/06/059
|
RUNHETC-2001-8
|
hep-th
| null |
We propose a Batalin-Vilkovisky (BV) formulation of boundary superstring
field theory. The superstring field action is defined in terms of a closed
one-form in the space of couplings, and we compute it explicitly for exactly
solvable tachyon perturbations. We also argue that the superstring field action
defined in this way is the partition function on the disc, in accord with a
previous proposal.
|
[
{
"created": "Mon, 12 Mar 2001 21:33:59 GMT",
"version": "v1"
}
] |
2010-02-03
|
[
[
"Marino",
"Marcos",
""
]
] |
We propose a Batalin-Vilkovisky (BV) formulation of boundary superstring field theory. The superstring field action is defined in terms of a closed one-form in the space of couplings, and we compute it explicitly for exactly solvable tachyon perturbations. We also argue that the superstring field action defined in this way is the partition function on the disc, in accord with a previous proposal.
|
hep-th/9804034
|
Alberto Guijosa
|
Alberto Guijosa (Princeton University)
|
Is Physics in the Infinite Momentum Frame Independent of the
Compactification Radius?
|
LaTeX2e, 22 pages, 3 eps figures; v2: Version published (2 years ago)
in Nucl.Phys.B
|
Nucl.Phys. B533 (1998) 406-426
|
10.1016/S0550-3213(98)00499-4
|
PUPT-1784
|
hep-th
| null |
With the aim of clarifying the eleven dimensional content of Matrix theory,
we examine the dependence of a theory in the infinite momentum frame (IMF) on
the (purely spatial) longitudinal compactification radius R. It is shown that
in a point particle theory the generic scattering amplitude becomes independent
of R in the IMF. Processes with zero longitudinal momentum transfer are found
to be exceptional. The same question is addressed in a theory with extended
objects. A one-loop type II string amplitude is shown to be R-independent in
the IMF, and to coincide with that of the uncompactified theory. No exceptional
processes exist in this case. The possible implications of these results for
M-theory are discussed. In particular, if amplitudes in M-theory are
independent of R in the IMF, Matrix theory can be rightfully expected (in the N
-> infty limit) to describe uncompactified M-theory.
|
[
{
"created": "Sat, 4 Apr 1998 01:52:21 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Sep 2000 05:25:29 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Guijosa",
"Alberto",
"",
"Princeton University"
]
] |
With the aim of clarifying the eleven dimensional content of Matrix theory, we examine the dependence of a theory in the infinite momentum frame (IMF) on the (purely spatial) longitudinal compactification radius R. It is shown that in a point particle theory the generic scattering amplitude becomes independent of R in the IMF. Processes with zero longitudinal momentum transfer are found to be exceptional. The same question is addressed in a theory with extended objects. A one-loop type II string amplitude is shown to be R-independent in the IMF, and to coincide with that of the uncompactified theory. No exceptional processes exist in this case. The possible implications of these results for M-theory are discussed. In particular, if amplitudes in M-theory are independent of R in the IMF, Matrix theory can be rightfully expected (in the N -> infty limit) to describe uncompactified M-theory.
|
hep-th/0504210
|
Yu. M. Zinoviev
|
Yu. M. Zinoviev
|
On Dual Formulation of Gravity
|
7 pages, plain LaTeX
| null |
10.1088/1126-6708/2006/10/009
| null |
hep-th
| null |
In this paper we consider a possibility to construct dual formulation of
gravity where the main dynamical field is the Lorentz connection
\omega_\mu^{ab} and not that of tetrad e_\mu^a or metric g_\mu\nu. Our approach
is based on the usual dualization procedure which uses first order parent
Lagrangians but in (Anti) de Sitter space and not in the flat Minkowski one. It
turns out that in d=3 dimensions such dual formulation is related with the so
called exotic parity-violating interactions for massless spin-2 particles.
|
[
{
"created": "Tue, 26 Apr 2005 13:26:32 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Zinoviev",
"Yu. M.",
""
]
] |
In this paper we consider a possibility to construct dual formulation of gravity where the main dynamical field is the Lorentz connection \omega_\mu^{ab} and not that of tetrad e_\mu^a or metric g_\mu\nu. Our approach is based on the usual dualization procedure which uses first order parent Lagrangians but in (Anti) de Sitter space and not in the flat Minkowski one. It turns out that in d=3 dimensions such dual formulation is related with the so called exotic parity-violating interactions for massless spin-2 particles.
|
hep-th/9402121
|
Grosche Christian
|
C.Grosche, G.S.Pogosyan and A.N.Sissakian
|
Path Integral Discussion for Smorodinsky-Winternitz Potentials: I.\ Two-
and Three Dimensional Euclidean Space
|
LaTeX 60 pages, DESY 94-018
|
Fortsch.Phys.43:453-521,1995
|
10.1002/prop.2190430602
| null |
hep-th
| null |
Path integral formulations for the Smorodinsky-Winternitz potentials in two-
and three-dimen\-sional Euclidean space are presented. We mention all
coordinate systems which separate the Smorodinsky-Winternitz potentials and
state the corresponding path integral formulations. Whereas in many coordinate
systems an explicit path integral formulation is not possible, we list in all
soluble cases the path integral evaluations explicitly in terms of the
propagators and the spectral expansions into the wave-functions.
|
[
{
"created": "Mon, 21 Feb 1994 19:33:32 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Feb 1994 10:43:11 GMT",
"version": "v2"
}
] |
2011-08-11
|
[
[
"Grosche",
"C.",
""
],
[
"Pogosyan",
"G. S.",
""
],
[
"Sissakian",
"A. N.",
""
]
] |
Path integral formulations for the Smorodinsky-Winternitz potentials in two- and three-dimen\-sional Euclidean space are presented. We mention all coordinate systems which separate the Smorodinsky-Winternitz potentials and state the corresponding path integral formulations. Whereas in many coordinate systems an explicit path integral formulation is not possible, we list in all soluble cases the path integral evaluations explicitly in terms of the propagators and the spectral expansions into the wave-functions.
|
0902.2082
|
Olivera Miskovic
|
Olivera Miskovic and Rodrigo Olea
|
Topological regularization and self-duality in four-dimensional anti-de
Sitter gravity
|
13 pages, no figures; enlarged discussion on self-duality condition
for AAdS spacetimes, references added, final version for PRD
| null |
10.1103/PhysRevD.79.124020
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is shown that the addition of a topological invariant (Gauss-Bonnet term)
to the anti-de Sitter (AdS) gravity action in four dimensions recovers the
standard regularization given by holographic renormalization procedure. This
crucial step makes possible the inclusion of an odd parity invariant
(Pontryagin term) whose coupling is fixed by demanding an asymptotic (anti)
self-dual condition on the Weyl tensor. This argument allows to find the dual
point of the theory where the holographic stress tensor is related to the
boundary Cotton tensor as $T_{j}^{i}=\pm (\ell ^{2}/8\pi G)C_{j}^{i}$, which
has been observed in recent literature in solitonic solutions and hydrodynamic
models.
A general procedure to generate the counterterm series for AdS gravity in any
even dimension from the corresponding Euler term is also briefly discussed.
|
[
{
"created": "Thu, 12 Feb 2009 11:14:51 GMT",
"version": "v1"
},
{
"created": "Fri, 22 May 2009 19:08:22 GMT",
"version": "v2"
}
] |
2015-05-13
|
[
[
"Miskovic",
"Olivera",
""
],
[
"Olea",
"Rodrigo",
""
]
] |
It is shown that the addition of a topological invariant (Gauss-Bonnet term) to the anti-de Sitter (AdS) gravity action in four dimensions recovers the standard regularization given by holographic renormalization procedure. This crucial step makes possible the inclusion of an odd parity invariant (Pontryagin term) whose coupling is fixed by demanding an asymptotic (anti) self-dual condition on the Weyl tensor. This argument allows to find the dual point of the theory where the holographic stress tensor is related to the boundary Cotton tensor as $T_{j}^{i}=\pm (\ell ^{2}/8\pi G)C_{j}^{i}$, which has been observed in recent literature in solitonic solutions and hydrodynamic models. A general procedure to generate the counterterm series for AdS gravity in any even dimension from the corresponding Euler term is also briefly discussed.
|
1504.01737
|
Matthew Walters
|
A. Liam Fitzpatrick, Jared Kaplan, Matthew T. Walters, Junpu Wang
|
Eikonalization of Conformal Blocks
|
32+17 pages, 6 figures; references added, discussion of eikonal limit
clarified
|
JHEP 09 (2015) 019
|
10.1007/JHEP09(2015)019
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Classical field configurations such as the Coulomb potential and
Schwarzschild solution are built from the t-channel exchange of many light
degrees of freedom. We study the CFT analog of this phenomenon, which we term
the `eikonalization' of conformal blocks. We show that when an operator $T$
appears in the OPE $\mathcal{O}(x) \mathcal{O}(0)$, then the large spin $\ell$
Fock space states $[TT \cdots T]_{\ell}$ also appear in this OPE with a
computable coefficient. The sum over the exchange of these Fock space states in
an $\langle \mathcal{O} \mathcal{O} \mathcal{O} \mathcal{O} \rangle$ correlator
build the classical `$T$ field' in the dual AdS description. In some limits the
sum of all Fock space exchanges can be represented as the exponential of a
single $T$ exchange in the 4-pt correlator of $\mathcal{O}$. Our results should
be useful for systematizing $1/\ell$ perturbation theory in general CFTs and
simplifying the computation of large spin OPE coefficients. As examples we
obtain the leading $\log \ell$ dependence of Fock space conformal block
coefficients, and we directly compute the OPE coefficients of the simplest
`triple-trace' operators.
|
[
{
"created": "Tue, 7 Apr 2015 20:00:34 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Jun 2015 17:06:55 GMT",
"version": "v2"
},
{
"created": "Thu, 10 Sep 2015 18:27:51 GMT",
"version": "v3"
}
] |
2015-09-11
|
[
[
"Fitzpatrick",
"A. Liam",
""
],
[
"Kaplan",
"Jared",
""
],
[
"Walters",
"Matthew T.",
""
],
[
"Wang",
"Junpu",
""
]
] |
Classical field configurations such as the Coulomb potential and Schwarzschild solution are built from the t-channel exchange of many light degrees of freedom. We study the CFT analog of this phenomenon, which we term the `eikonalization' of conformal blocks. We show that when an operator $T$ appears in the OPE $\mathcal{O}(x) \mathcal{O}(0)$, then the large spin $\ell$ Fock space states $[TT \cdots T]_{\ell}$ also appear in this OPE with a computable coefficient. The sum over the exchange of these Fock space states in an $\langle \mathcal{O} \mathcal{O} \mathcal{O} \mathcal{O} \rangle$ correlator build the classical `$T$ field' in the dual AdS description. In some limits the sum of all Fock space exchanges can be represented as the exponential of a single $T$ exchange in the 4-pt correlator of $\mathcal{O}$. Our results should be useful for systematizing $1/\ell$ perturbation theory in general CFTs and simplifying the computation of large spin OPE coefficients. As examples we obtain the leading $\log \ell$ dependence of Fock space conformal block coefficients, and we directly compute the OPE coefficients of the simplest `triple-trace' operators.
|
2001.11023
|
Gerben Venken
|
Miguel Montero, Thomas Van Riet, Gerben Venken
|
A dS obstruction and its phenomenological consequences
|
19 pages + references v2: fixed typos, minor corrections
| null |
10.1007/JHEP05(2020)114
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note we observe that positive runaway potentials can generically be
stabilized by abelian $p$-form fluxes, leading to parametrically controlled de
Sitter solutions after compactification to a lower dimension. When
compactifying from 4d to 2d the dS solutions are metastable, whereas all higher
dimensional cases are unstable. The existence of these dS solutions require
that a certain inequality involving the derivatives of the potential and
$p$-form gauge coupling is satisfied. This inequality is not satisfied in
simple stringy examples (outside of the scope of Maldacena-Nu\~nez), which
unsurprisingly avoid this route to dS solutions. We can apply our techniques to
construct $dS_2$ solutions in the Standard Model plus an additional runaway
scalar such as quintessence. Demanding that these are avoided leads to (weak)
phenomenological constraints on the time variation of the fine structure
constant and QCD axion-photon coupling.
|
[
{
"created": "Wed, 29 Jan 2020 18:59:59 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Jun 2021 19:55:38 GMT",
"version": "v2"
}
] |
2021-06-09
|
[
[
"Montero",
"Miguel",
""
],
[
"Van Riet",
"Thomas",
""
],
[
"Venken",
"Gerben",
""
]
] |
In this note we observe that positive runaway potentials can generically be stabilized by abelian $p$-form fluxes, leading to parametrically controlled de Sitter solutions after compactification to a lower dimension. When compactifying from 4d to 2d the dS solutions are metastable, whereas all higher dimensional cases are unstable. The existence of these dS solutions require that a certain inequality involving the derivatives of the potential and $p$-form gauge coupling is satisfied. This inequality is not satisfied in simple stringy examples (outside of the scope of Maldacena-Nu\~nez), which unsurprisingly avoid this route to dS solutions. We can apply our techniques to construct $dS_2$ solutions in the Standard Model plus an additional runaway scalar such as quintessence. Demanding that these are avoided leads to (weak) phenomenological constraints on the time variation of the fine structure constant and QCD axion-photon coupling.
|
hep-th/0702114
|
Valeria Gili
|
Mauro Carfora, Claudio Dappiaggi, Valeria L. Gili
|
From random Regge triangulations to open strings
|
10 pages. To appear in the proceedings of the 17th SIGRAV Conference
on General Relativity and Gravitational Physics (SIGRAV06), Turin, Italy,
04-07 Sep 2006
| null | null |
QMUL-PH-07-04
|
hep-th
| null |
We show how Boundary Conformal Field Theory deformation techniques allow for
a complete characterisation of the coupling between the discrete geometry
inherited uniformizing a random Regge triangulations and open string theory.
|
[
{
"created": "Wed, 14 Feb 2007 20:07:05 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Carfora",
"Mauro",
""
],
[
"Dappiaggi",
"Claudio",
""
],
[
"Gili",
"Valeria L.",
""
]
] |
We show how Boundary Conformal Field Theory deformation techniques allow for a complete characterisation of the coupling between the discrete geometry inherited uniformizing a random Regge triangulations and open string theory.
|
hep-th/9303004
| null |
V.Spiridonov
|
Symmetries of the Self-Similar Potentials
|
9 pp., Latex (to appear in Comm.Theor.Phys.)
|
Commun.Theor.Phys. 2:149-163,1993
| null | null |
hep-th
| null |
An application of the particular type of nonlinear operator algebras to
spectral problems is outlined. These algebras are associated with a set of
one-dimensional self-similar potentials, arising due to the q-periodic closure
f_{j+N}(x)=qf_j(qx), k_{j+N}=q^2 k_j of a chain of coupled Riccati equations
(dressing chain). Such closure describes q-deformation of the finite-gap and
related potentials. The N=1 case corresponds to the q-oscillator spectrum
generating algebra. At N=2 one gets a q-conformal quantum mechanics, and N=3
set of equations describes a deformation of the Painleve IV transcendent.
|
[
{
"created": "Mon, 1 Mar 1993 21:46:38 GMT",
"version": "v1"
}
] |
2011-03-02
|
[
[
"Spiridonov",
"V.",
""
]
] |
An application of the particular type of nonlinear operator algebras to spectral problems is outlined. These algebras are associated with a set of one-dimensional self-similar potentials, arising due to the q-periodic closure f_{j+N}(x)=qf_j(qx), k_{j+N}=q^2 k_j of a chain of coupled Riccati equations (dressing chain). Such closure describes q-deformation of the finite-gap and related potentials. The N=1 case corresponds to the q-oscillator spectrum generating algebra. At N=2 one gets a q-conformal quantum mechanics, and N=3 set of equations describes a deformation of the Painleve IV transcendent.
|
1211.6930
|
Paul Richmond
|
Paul Richmond
|
Multiple M-branes and 3-algebras
|
PhD Thesis, 155 pages, 1 figure
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The purpose of this thesis is to explore the properties of multiple
coincident M2- and M5-branes. We begin with a review of the BLG and ABJM models
of multiple M2-branes and our focus will be on their formulation in terms of
3-algebras. We then examine the coupling of multiple M2-branes to the
background 3-form and 6-form gauge fields of eleven-dimensional supergravity.
In particular we show in detail how a natural generalisation of the Myers
flux-terms, along with the resulting curvature of the background metric, leads
to mass terms in the effective field theory. Working to lowest nontrivial order
in fermions, we demonstrate the supersymmetric invariance of the
four-derivative order corrected Lagrangian of the Euclidean BLG theory and
determine the theory's higher derivative corrected supersymmetry
transformations. The supersymmetry algebra is also shown to close on the scalar
and gauge fields. We also consider periodic arrays of M2-branes in the ABJM
model in the spirit of a circle compactification to D2-branes in type IIA
string theory. The result is a curious formulation of three-dimensional
maximally supersymmetric Yang-Mills theory. Upon further T-duality on a
transverse torus we obtain a non-manifest-Lorentz-invariant description of
five-dimensional maximally supersymmetric Yang-Mills which can be viewed as an
M-theory description of M5-branes on $\mathbb{T}^3$. After reviewing work to
describe multiple M5-branes using 3-algebras we show how the resulting novel
system of equations reduces to one-dimensional motion on instanton moduli
space. Quantisation leads to the previous light-cone proposal of the (2,0)
theory, generalised to include a potential that arises on the Coulomb branch as
well as couplings to background gauge and self-dual 2-form fields.
|
[
{
"created": "Thu, 29 Nov 2012 14:39:23 GMT",
"version": "v1"
}
] |
2012-11-30
|
[
[
"Richmond",
"Paul",
""
]
] |
The purpose of this thesis is to explore the properties of multiple coincident M2- and M5-branes. We begin with a review of the BLG and ABJM models of multiple M2-branes and our focus will be on their formulation in terms of 3-algebras. We then examine the coupling of multiple M2-branes to the background 3-form and 6-form gauge fields of eleven-dimensional supergravity. In particular we show in detail how a natural generalisation of the Myers flux-terms, along with the resulting curvature of the background metric, leads to mass terms in the effective field theory. Working to lowest nontrivial order in fermions, we demonstrate the supersymmetric invariance of the four-derivative order corrected Lagrangian of the Euclidean BLG theory and determine the theory's higher derivative corrected supersymmetry transformations. The supersymmetry algebra is also shown to close on the scalar and gauge fields. We also consider periodic arrays of M2-branes in the ABJM model in the spirit of a circle compactification to D2-branes in type IIA string theory. The result is a curious formulation of three-dimensional maximally supersymmetric Yang-Mills theory. Upon further T-duality on a transverse torus we obtain a non-manifest-Lorentz-invariant description of five-dimensional maximally supersymmetric Yang-Mills which can be viewed as an M-theory description of M5-branes on $\mathbb{T}^3$. After reviewing work to describe multiple M5-branes using 3-algebras we show how the resulting novel system of equations reduces to one-dimensional motion on instanton moduli space. Quantisation leads to the previous light-cone proposal of the (2,0) theory, generalised to include a potential that arises on the Coulomb branch as well as couplings to background gauge and self-dual 2-form fields.
|
1009.1865
|
Theodore Erler
|
Theodore Erler
|
Exotic Universal Solutions in Cubic Superstring Field Theory
|
53 pages, 6 figures. Added appendix on splitting charges and midpoint
insertions. Improved presentation of the topological structure of the
solutions. Version accepted at JHEP
|
JHEP 1104:107,2011
|
10.1007/JHEP04(2011)107
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a class of analytic solutions of cubic superstring field theory in
the universal sector on a non-BPS D-brane. Computation of the action and gauge
invariant overlap reveal that the solutions carry half the tension of a non-BPS
D-brane. However, the solutions do not satisfy the reality condition. In fact,
they display an intriguing topological structure: We find evidence that
conjugation of the solutions is equivalent to a gauge transformation that
cannot be continuously deformed to the identity.
|
[
{
"created": "Thu, 9 Sep 2010 19:30:24 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Apr 2011 12:59:56 GMT",
"version": "v2"
}
] |
2011-04-28
|
[
[
"Erler",
"Theodore",
""
]
] |
We present a class of analytic solutions of cubic superstring field theory in the universal sector on a non-BPS D-brane. Computation of the action and gauge invariant overlap reveal that the solutions carry half the tension of a non-BPS D-brane. However, the solutions do not satisfy the reality condition. In fact, they display an intriguing topological structure: We find evidence that conjugation of the solutions is equivalent to a gauge transformation that cannot be continuously deformed to the identity.
|
2011.06097
|
Zahra Mirzaiyan
|
Zahra Mirzaiyan
|
Subleading non linear gravitational memory effect
| null | null | null | null |
hep-th
|
http://creativecommons.org/publicdomain/zero/1.0/
|
We apply the new method based on null geodesics for detecting gravitational
memory and find the bulk memory in Newman-Unti gauge around the boundary of the
conformally compactified space time. We show how we use the newly found
conserved charges in the subleading orders of large-$r$ expansion of the BMS
charges to define the gravitational memory at each order in the non-linearised
gravitational theory. We also find the gravitational shift in the $r$
direction. It is shown that the longitudinal displacement at order $1/r$ is the
relative radius change between two detectors derived by Strominger and
Zhiboedov.
|
[
{
"created": "Wed, 11 Nov 2020 22:16:57 GMT",
"version": "v1"
}
] |
2020-11-13
|
[
[
"Mirzaiyan",
"Zahra",
""
]
] |
We apply the new method based on null geodesics for detecting gravitational memory and find the bulk memory in Newman-Unti gauge around the boundary of the conformally compactified space time. We show how we use the newly found conserved charges in the subleading orders of large-$r$ expansion of the BMS charges to define the gravitational memory at each order in the non-linearised gravitational theory. We also find the gravitational shift in the $r$ direction. It is shown that the longitudinal displacement at order $1/r$ is the relative radius change between two detectors derived by Strominger and Zhiboedov.
|
1311.2430
|
Cyril Closset
|
Cyril Closset and Itamar Shamir
|
The $\mathcal{N}=1$ Chiral Multiplet on $T^2\times S^2$ and
Supersymmetric Localization
|
39 pages. v2: reference added; v3: corrected typos, JHEP version
| null |
10.1007/JHEP03(2014)040
|
WIS/12/13-Oct-DPPA
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the supersymmetric partition function of an $\mathcal{N}=1$ chiral
multiplet coupled to an external Abelian gauge field on complex manifolds with
$T^2 \times S^2$ topology. The result is locally holomorphic in the complex
structure moduli of $T^2\times S^2$. This computation illustrates in a simple
example some recently obtained constraints on the parameter dependence of
supersymmetric partition functions.
We also devise a simple method to compute the chiral multiplet partition
function on any four-manifold $\mathcal{M}_4$ preserving two supercharges of
opposite chiralities, via supersymmetric localization. In the case of
$\mathcal{M}_4=S^3\times S^1$, we provide a path integral derivation of the
previously known result, the elliptic gamma function, which emphasizes its
dependence on the $S^3 \times S^1$ complex structure moduli.
|
[
{
"created": "Mon, 11 Nov 2013 12:52:12 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Nov 2013 15:52:32 GMT",
"version": "v2"
},
{
"created": "Tue, 4 Mar 2014 00:47:26 GMT",
"version": "v3"
}
] |
2015-06-17
|
[
[
"Closset",
"Cyril",
""
],
[
"Shamir",
"Itamar",
""
]
] |
We compute the supersymmetric partition function of an $\mathcal{N}=1$ chiral multiplet coupled to an external Abelian gauge field on complex manifolds with $T^2 \times S^2$ topology. The result is locally holomorphic in the complex structure moduli of $T^2\times S^2$. This computation illustrates in a simple example some recently obtained constraints on the parameter dependence of supersymmetric partition functions. We also devise a simple method to compute the chiral multiplet partition function on any four-manifold $\mathcal{M}_4$ preserving two supercharges of opposite chiralities, via supersymmetric localization. In the case of $\mathcal{M}_4=S^3\times S^1$, we provide a path integral derivation of the previously known result, the elliptic gamma function, which emphasizes its dependence on the $S^3 \times S^1$ complex structure moduli.
|
2303.05521
|
Wei Li
|
Wei Li
|
Quiver algebras and their representations for arbitrary quivers
|
90 pages + 5 appendices, 2 figures; v2: revised discussion on
refinement, references updated, typos fixed
| null | null | null |
hep-th math-ph math.AT math.MP math.QA math.RT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The quiver Yangians were originally defined for the quiver and superpotential
from string theory on general toric Calabi-Yau threefolds, and serve as BPS
algebras of these systems. Their characters reproduce the unrefined BPS
indices, which correspond to classical Donaldson-Thomas (DT) invariants. We
generalize this construction in two directions. First, we show that this
definition extends to arbitrary quivers with potentials. Second, we explain how
to define the characters to incorporate the refined BPS indices, which
correspond to motivic DT invariants. We focus on two main classes of quivers:
the BPS quivers of 4D $N=2$ theories and the quivers from the knot-quiver
correspondence. The entire construction allows for straightforward
generalizations to trigonometric, elliptic, and generalized cohomologies.
|
[
{
"created": "Thu, 9 Mar 2023 19:00:00 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Jun 2024 17:44:21 GMT",
"version": "v2"
}
] |
2024-06-12
|
[
[
"Li",
"Wei",
""
]
] |
The quiver Yangians were originally defined for the quiver and superpotential from string theory on general toric Calabi-Yau threefolds, and serve as BPS algebras of these systems. Their characters reproduce the unrefined BPS indices, which correspond to classical Donaldson-Thomas (DT) invariants. We generalize this construction in two directions. First, we show that this definition extends to arbitrary quivers with potentials. Second, we explain how to define the characters to incorporate the refined BPS indices, which correspond to motivic DT invariants. We focus on two main classes of quivers: the BPS quivers of 4D $N=2$ theories and the quivers from the knot-quiver correspondence. The entire construction allows for straightforward generalizations to trigonometric, elliptic, and generalized cohomologies.
|
hep-th/0206022
|
Gabriel Flores Hidalgo
|
G. Flores-Hidalgo, Rudnei O. Ramos
|
Nonequilibrium Dynamics of Coupled Quantum Systems
|
49 pages, 3 figures, with corrections (sec. 4) to the published
version
|
Physica A326 (2003) 159-188
|
10.1016/S0378-4371(03)00274-7
| null |
hep-th cond-mat.stat-mech hep-ph
| null |
The nonequilibrium dynamics of coupled quantum oscillators subject to
different time dependent quenches are analyzed in the context of the
Liouville-von Neumann approach. We consider models of quantum oscillators in
interaction that are exactly soluble in the cases of both sudden and smooth
quenches. The time evolution of number densities and the final equilibration
distribution for the problem of a quantum oscillator coupled to an infinity set
of other oscillators (a bath) are explicitly worked out.
|
[
{
"created": "Mon, 3 Jun 2002 22:28:52 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Jun 2002 19:32:31 GMT",
"version": "v2"
},
{
"created": "Wed, 29 Oct 2003 10:13:18 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Flores-Hidalgo",
"G.",
""
],
[
"Ramos",
"Rudnei O.",
""
]
] |
The nonequilibrium dynamics of coupled quantum oscillators subject to different time dependent quenches are analyzed in the context of the Liouville-von Neumann approach. We consider models of quantum oscillators in interaction that are exactly soluble in the cases of both sudden and smooth quenches. The time evolution of number densities and the final equilibration distribution for the problem of a quantum oscillator coupled to an infinity set of other oscillators (a bath) are explicitly worked out.
|
1804.05527
|
Wung-Hong Huang
|
Wung-Hong Huang
|
Butterfly Velocity in Quadratic Gravity
|
28 pages. Add the investigation of the butterfly velocity in the
Gauss-Bonnet massive gravity. Add more discussions about AdS/CFT. Rewrite in
compact form. Typos corrected
|
Class. Quantum Grav. 35 (2018)195004
|
10.1088/1361-6382/aadb32
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a systematic procedure of finding the shock wave equation in
anisotropic spacetime of quadratic gravity with Lagrangian ${\cal L}=R+
\Lambda+\alpha R_{\mu\nu\sigma\rho}R^{\mu\nu\sigma\rho}+\beta
R_{\mu\nu}R^{\mu\nu}+\gamma R^2+{\cal L}_{\rm matter}$. The general formula of
the butterfly velocity is derived. We show that the shock wave equation in the
planar, spherical or hyperbolic black hole spacetime of Einstein-Gauss-Bonnet
gravity is the same as that in Einstein gravity if space is isotropic. We
consider the modified AdS spacetime deformed by the leading correction of the
quadratic curvatures and find that the fourth order derivative shock wave
equation leads to two butterfly velocities if $4\alpha+\beta<0$. We also show
that the butterfly velocity in a D=4 planar black hole is not corrected by the
quadratic gravity if $ 4\alpha+\beta=0$, which includes the $ R^2$ gravity. In
general, the correction of butterfly velocity by the quadratic gravity may be
positive or negative, depends on the values of $\alpha$, $\beta$, $\gamma$ and
temperature. We also investigate the butterfly velocity in the Gauss-Bonnet
massive gravity.
|
[
{
"created": "Mon, 16 Apr 2018 07:30:10 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Apr 2018 07:17:10 GMT",
"version": "v2"
},
{
"created": "Fri, 3 Aug 2018 06:11:22 GMT",
"version": "v3"
}
] |
2018-09-26
|
[
[
"Huang",
"Wung-Hong",
""
]
] |
We present a systematic procedure of finding the shock wave equation in anisotropic spacetime of quadratic gravity with Lagrangian ${\cal L}=R+ \Lambda+\alpha R_{\mu\nu\sigma\rho}R^{\mu\nu\sigma\rho}+\beta R_{\mu\nu}R^{\mu\nu}+\gamma R^2+{\cal L}_{\rm matter}$. The general formula of the butterfly velocity is derived. We show that the shock wave equation in the planar, spherical or hyperbolic black hole spacetime of Einstein-Gauss-Bonnet gravity is the same as that in Einstein gravity if space is isotropic. We consider the modified AdS spacetime deformed by the leading correction of the quadratic curvatures and find that the fourth order derivative shock wave equation leads to two butterfly velocities if $4\alpha+\beta<0$. We also show that the butterfly velocity in a D=4 planar black hole is not corrected by the quadratic gravity if $ 4\alpha+\beta=0$, which includes the $ R^2$ gravity. In general, the correction of butterfly velocity by the quadratic gravity may be positive or negative, depends on the values of $\alpha$, $\beta$, $\gamma$ and temperature. We also investigate the butterfly velocity in the Gauss-Bonnet massive gravity.
|
hep-th/9811214
|
Gregory Moore
|
Marcos Marino and Gregory Moore
|
3-manifold topology and the Donaldson-Witten partition function
|
35 pages, harvmac b-mode, 3 figures, minor result added
|
Nucl.Phys. B547 (1999) 569-598
|
10.1016/S0550-3213(99)00105-4
|
YCTP-P27-98
|
hep-th math.GT
| null |
We consider Donaldson-Witten theory on four-manifolds of the form $X=Y \times
{\bf S}^1$ where $Y$ is a compact three-manifold. We show that there are
interesting relations between the four-dimensional Donaldson invariants of $X$
and certain topological invariants of $Y$. In particular, we reinterpret a
result of Meng-Taubes relating the Seiberg-Witten invariants to
Reidemeister-Milnor torsion. If $b_1(Y)>1$ we show that the partition function
reduces to the Casson-Walker-Lescop invariant of $Y$, as expected on formal
grounds. In the case $b_1(Y)=1$ there is a correction. Consequently, in the
case $b_1(Y)=1$, we observe an interesting subtlety in the standard
expectations of Kaluza-Klein theory when applied to supersymmetric gauge theory
compactified on a circle of small radius.
|
[
{
"created": "Wed, 25 Nov 1998 15:15:14 GMT",
"version": "v1"
},
{
"created": "Sat, 19 Dec 1998 22:33:50 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Marino",
"Marcos",
""
],
[
"Moore",
"Gregory",
""
]
] |
We consider Donaldson-Witten theory on four-manifolds of the form $X=Y \times {\bf S}^1$ where $Y$ is a compact three-manifold. We show that there are interesting relations between the four-dimensional Donaldson invariants of $X$ and certain topological invariants of $Y$. In particular, we reinterpret a result of Meng-Taubes relating the Seiberg-Witten invariants to Reidemeister-Milnor torsion. If $b_1(Y)>1$ we show that the partition function reduces to the Casson-Walker-Lescop invariant of $Y$, as expected on formal grounds. In the case $b_1(Y)=1$ there is a correction. Consequently, in the case $b_1(Y)=1$, we observe an interesting subtlety in the standard expectations of Kaluza-Klein theory when applied to supersymmetric gauge theory compactified on a circle of small radius.
|
0906.4751
|
Seok Kim
|
Seok Kim, Kallingalthodi Madhu
|
Aspects of monopole operators in N=6 Chern-Simons theory
|
20 pages, no figures
|
JHEP 0912:018,2009
|
10.1088/1126-6708/2009/12/018
|
Imperial/TP/09/SK/02, TIFR/TH/09-19
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study local operators of U(N)xU(N) N=6 Chern-Simons-matter theory
including a class of magnetic monopole operators. To take into account the
interaction of monopoles and basic fields for large Chern-Simons level k, we
consider the appropriate perturbation theory in 1/k which reliably describes
small excitations around protected chiral operators. We also compute the
superconformal index with some simple monopole operators and show that it
agrees with the recent result obtained from localization. For this agreement,
it is crucial that excitations of gauge fields and some matter scalars mix,
which is described classically by odd dimensional self-duality like equations.
|
[
{
"created": "Thu, 25 Jun 2009 17:09:31 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Sep 2009 05:42:02 GMT",
"version": "v2"
}
] |
2009-12-15
|
[
[
"Kim",
"Seok",
""
],
[
"Madhu",
"Kallingalthodi",
""
]
] |
We study local operators of U(N)xU(N) N=6 Chern-Simons-matter theory including a class of magnetic monopole operators. To take into account the interaction of monopoles and basic fields for large Chern-Simons level k, we consider the appropriate perturbation theory in 1/k which reliably describes small excitations around protected chiral operators. We also compute the superconformal index with some simple monopole operators and show that it agrees with the recent result obtained from localization. For this agreement, it is crucial that excitations of gauge fields and some matter scalars mix, which is described classically by odd dimensional self-duality like equations.
|
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