id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1609.03480 | David Rodr\'iguez Fern\'andez | Carlos Hoyos, Niko Jokela, David Rodr\'iguez Fern\'andez and Aleksi
Vuorinen | Breaking the sound barrier in AdS/CFT | 41 pages, 8 figures. Published version | Phys. Rev. D 94, 106008 (2016) | 10.1103/PhysRevD.94.106008 | FPAUO-16/11, HIP-2016-26/TH | hep-th astro-ph.HE hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It has been conjectured that the speed of sound in holographic models with UV
fixed points has an upper bound set by the value of the quantity in conformal
field theory. If true, this would set stringent constraints for the presence of
strongly coupled quark matter in the cores of physical neutron stars, as the
existence of two-solar-mass stars appears to demand a very stiff Equation of
State. In this article, we present a family of counterexamples to the speed of
sound conjecture, consisting of strongly coupled theories at finite density.
The theories we consider include ${\cal N}=4$ super Yang-Mills at finite
R-charge density and non-zero gaugino masses, while the holographic duals are
Einstein-Maxwell theories with a minimally coupled scalar in a charged black
hole geometry. We show that for a small breaking of conformal invariance, the
speed of sound approaches the conformal value from above at large chemical
potentials.
| [
{
"created": "Mon, 12 Sep 2016 16:49:14 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Nov 2016 15:18:12 GMT",
"version": "v2"
}
] | 2016-11-23 | [
[
"Hoyos",
"Carlos",
""
],
[
"Jokela",
"Niko",
""
],
[
"Fernández",
"David Rodríguez",
""
],
[
"Vuorinen",
"Aleksi",
""
]
] | It has been conjectured that the speed of sound in holographic models with UV fixed points has an upper bound set by the value of the quantity in conformal field theory. If true, this would set stringent constraints for the presence of strongly coupled quark matter in the cores of physical neutron stars, as the existence of two-solar-mass stars appears to demand a very stiff Equation of State. In this article, we present a family of counterexamples to the speed of sound conjecture, consisting of strongly coupled theories at finite density. The theories we consider include ${\cal N}=4$ super Yang-Mills at finite R-charge density and non-zero gaugino masses, while the holographic duals are Einstein-Maxwell theories with a minimally coupled scalar in a charged black hole geometry. We show that for a small breaking of conformal invariance, the speed of sound approaches the conformal value from above at large chemical potentials. |
2202.00326 | Rabin Banerjee | Rabin Banerjee | Noether type formulation for space dependent polynomial symmetries | 11 pages | null | null | null | hep-th cond-mat.str-el | http://creativecommons.org/licenses/by/4.0/ | We develop a systematic algorithm, based on Noether's theorem, for defining
the various currents in theories invariant under space dependent polynomial
symmetries. A master equation is given that yields all the conservation laws
corresponding to these currents. Explicit demonstration has been provided for
dipole and quadrupole conservation symmetries.
| [
{
"created": "Tue, 1 Feb 2022 10:49:50 GMT",
"version": "v1"
}
] | 2022-02-02 | [
[
"Banerjee",
"Rabin",
""
]
] | We develop a systematic algorithm, based on Noether's theorem, for defining the various currents in theories invariant under space dependent polynomial symmetries. A master equation is given that yields all the conservation laws corresponding to these currents. Explicit demonstration has been provided for dipole and quadrupole conservation symmetries. |
hep-th/0506102 | Kazuya Koyama | Kazuya Koyama, Shuntaro Mizuno, David Wands | Slow-roll corrections to inflaton fluctuations on a brane | 18 pages, 4 figures | JCAP 0508 (2005) 009 | 10.1088/1475-7516/2005/08/009 | null | hep-th gr-qc hep-ph | null | Quantum fluctuations of an inflaton field, slow-rolling during inflation are
coupled to metric fluctuations. In conventional four dimensional cosmology one
can calculate the effect of scalar metric perturbations as slow-roll
corrections to the evolution of a massless free field in de Sitter spacetime.
This gives the well-known first-order corrections to the field perturbations
after horizon-exit. If inflaton fluctuations on a four dimensional brane
embedded in a five dimensional bulk spacetime are studied to first-order in
slow-roll then we recover the usual conserved curvature perturbation on
super-horizon scales. But on small scales, at high energies, we find that the
coupling to the bulk metric perturbations cannot be neglected, leading to a
modified amplitude of vacuum oscillations on small scales. This is a large
effect which casts doubt on the reliability of the usual calculation of
inflaton fluctuations on the brane neglecting their gravitational coupling.
| [
{
"created": "Mon, 13 Jun 2005 10:34:24 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Koyama",
"Kazuya",
""
],
[
"Mizuno",
"Shuntaro",
""
],
[
"Wands",
"David",
""
]
] | Quantum fluctuations of an inflaton field, slow-rolling during inflation are coupled to metric fluctuations. In conventional four dimensional cosmology one can calculate the effect of scalar metric perturbations as slow-roll corrections to the evolution of a massless free field in de Sitter spacetime. This gives the well-known first-order corrections to the field perturbations after horizon-exit. If inflaton fluctuations on a four dimensional brane embedded in a five dimensional bulk spacetime are studied to first-order in slow-roll then we recover the usual conserved curvature perturbation on super-horizon scales. But on small scales, at high energies, we find that the coupling to the bulk metric perturbations cannot be neglected, leading to a modified amplitude of vacuum oscillations on small scales. This is a large effect which casts doubt on the reliability of the usual calculation of inflaton fluctuations on the brane neglecting their gravitational coupling. |
2009.14334 | Temple He | Temple He, Prahar Mitra | Covariant Phase Space and Soft Factorization in Non-Abelian Gauge
Theories | 69 pages, 2 figures; v2: minor typos corrected and references added,
version to appear in JHEP | null | 10.1007/JHEP03(2021)015 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We perform a careful study of the infrared sector of massless non-abelian
gauge theories in four-dimensional Minkowski spacetime using the covariant
phase space formalism, taking into account the boundary contributions arising
from the gauge sector of the theory. Upon quantization, we show that the
boundary contributions lead to an infinite degeneracy of the vacua. The Hilbert
space of the vacuum sector is not only shown to be remarkably simple, but also
universal. We derive a Ward identity that relates the n-point amplitude between
two generic in- and out-vacuum states to the one computed in standard QFT. In
addition, we demonstrate that the familiar single soft gluon theorem and
multiple consecutive soft gluon theorem are consequences of the Ward identity.
| [
{
"created": "Tue, 29 Sep 2020 22:46:51 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Jan 2021 21:06:28 GMT",
"version": "v2"
}
] | 2021-03-17 | [
[
"He",
"Temple",
""
],
[
"Mitra",
"Prahar",
""
]
] | We perform a careful study of the infrared sector of massless non-abelian gauge theories in four-dimensional Minkowski spacetime using the covariant phase space formalism, taking into account the boundary contributions arising from the gauge sector of the theory. Upon quantization, we show that the boundary contributions lead to an infinite degeneracy of the vacua. The Hilbert space of the vacuum sector is not only shown to be remarkably simple, but also universal. We derive a Ward identity that relates the n-point amplitude between two generic in- and out-vacuum states to the one computed in standard QFT. In addition, we demonstrate that the familiar single soft gluon theorem and multiple consecutive soft gluon theorem are consequences of the Ward identity. |
hep-th/0101029 | Leonard Susskind | L. Susskind (Stanford U.) | The Quantum Hall Fluid and Non-Commutative Chern Simons Theory | 25 pages, references added, quasiparticle solutions given for
arbitrary filling fraction | null | null | SU-ITP/01- | hep-th | null | The first part of this paper is a review of the author's work with S. Bahcall
which gave an elementary derivation of the Chern Simons description of the
Quantum Hall effect for filling fraction $1/n$. The notation has been
modernized to conform with standard gauge theory conventions.
In the second part arguments are given to support the claim that abelian
non-commutative Chern Simons theory at level $n$ is exactly equivalent to the
Laughlin theory at filling fraction $1/n$. The theory may also be formulated as
a matrix theory similar to that describing D0-branes in string theory. Finally
it can also be thought of as the quantum theory of mappings between two
non-commutative spaces, the first being the target space and the second being
the base space.
| [
{
"created": "Thu, 4 Jan 2001 23:58:29 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Jan 2001 18:57:46 GMT",
"version": "v2"
},
{
"created": "Sun, 14 Jan 2001 01:40:57 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Susskind",
"L.",
"",
"Stanford U."
]
] | The first part of this paper is a review of the author's work with S. Bahcall which gave an elementary derivation of the Chern Simons description of the Quantum Hall effect for filling fraction $1/n$. The notation has been modernized to conform with standard gauge theory conventions. In the second part arguments are given to support the claim that abelian non-commutative Chern Simons theory at level $n$ is exactly equivalent to the Laughlin theory at filling fraction $1/n$. The theory may also be formulated as a matrix theory similar to that describing D0-branes in string theory. Finally it can also be thought of as the quantum theory of mappings between two non-commutative spaces, the first being the target space and the second being the base space. |
1612.06949 | Andrew Svesko | Maulik Parikh and Andrew Svesko | Logarithmic Corrections to Gravitational Entropy and the Null Energy
Condition | LaTex, 10 pages | null | 10.1016/j.physletb.2016.07.071 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using a relation between the thermodynamics of local horizons and the null
energy condition, we consider the effects of quantum corrections to the
gravitational entropy. In particular, we find that the geometric form of the
null energy condition is not affected by the inclusion of logarithmic
corrections to the Bekenstein-Hawking entropy.
| [
{
"created": "Wed, 21 Dec 2016 02:27:45 GMT",
"version": "v1"
}
] | 2016-12-22 | [
[
"Parikh",
"Maulik",
""
],
[
"Svesko",
"Andrew",
""
]
] | Using a relation between the thermodynamics of local horizons and the null energy condition, we consider the effects of quantum corrections to the gravitational entropy. In particular, we find that the geometric form of the null energy condition is not affected by the inclusion of logarithmic corrections to the Bekenstein-Hawking entropy. |
2108.09144 | Ran Li | Ran Li, Jin Wang | Hayden-Preskill protocol and decoding Hawking radiation at finite
temperature | null | null | 10.1103/PhysRevD.106.046011 | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the Hayden-Preskill thought experiment at finite temperature and
obtain the decoupling condition that the information thrown into an old black
hole can be extracted by decoding the Hawking radiation. We then consider the
decoding Hayden-Preskill protocol at finite temperature assuming the observer
outside the black hole who has the access to the full radiation and the unitary
dynamics of the black hole. We also consider the cases when the Hawking
radiation has noise and decoherence in the storage. The decoding probabilities
and the corresponding fidelities are calculated. It is shown that for all the
three cases we have considered, the decoding fidelities are less than unity in
general. This result indicates that at finite temperature, the decoding
strategy and the recovery algorithm is harder to realize than that at infinite
temperature.
| [
{
"created": "Fri, 20 Aug 2021 12:36:08 GMT",
"version": "v1"
}
] | 2022-09-14 | [
[
"Li",
"Ran",
""
],
[
"Wang",
"Jin",
""
]
] | We study the Hayden-Preskill thought experiment at finite temperature and obtain the decoupling condition that the information thrown into an old black hole can be extracted by decoding the Hawking radiation. We then consider the decoding Hayden-Preskill protocol at finite temperature assuming the observer outside the black hole who has the access to the full radiation and the unitary dynamics of the black hole. We also consider the cases when the Hawking radiation has noise and decoherence in the storage. The decoding probabilities and the corresponding fidelities are calculated. It is shown that for all the three cases we have considered, the decoding fidelities are less than unity in general. This result indicates that at finite temperature, the decoding strategy and the recovery algorithm is harder to realize than that at infinite temperature. |
0911.2224 | Ryo Suzuki | Gleb Arutyunov, Sergey Frolov, Ryo Suzuki | Exploring the mirror TBA | 69 pages, v2: new "hybrid" equations for YQ-functions, figures and
tables are added. Analyticity of Y-system is discussed, v3: published version | JHEP 1005:031,2010 | 10.1007/JHEP05(2010)031 | ITP-UU-09-54, SPIN-09-44, TCDMATH 09-24, HMI-09-10 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We apply the contour deformation trick to the Thermodynamic Bethe Ansatz
equations for the AdS_5 \times S^5 mirror model, and obtain the integral
equations determining the energy of two-particle excited states dual to N=4 SYM
operators from the sl(2) sector. We show that each state/operator is described
by its own set of TBA equations. Moreover, we provide evidence that for each
state there are infinitely-many critical values of 't Hooft coupling constant
\lambda, and the excited states integral equations have to be modified each
time one crosses one of those. In particular, estimation based on the large L
asymptotic solution gives \lambda \approx 774 for the first critical value
corresponding to the Konishi operator. Our results indicate that the related
calculations and conclusions of Gromov, Kazakov and Vieira should be
interpreted with caution. The phenomenon we discuss might potentially explain
the mismatch between their recent computation of the scaling dimension of the
Konishi operator and the one done by Roiban and Tseytlin by using the string
theory sigma model.
| [
{
"created": "Thu, 12 Nov 2009 20:17:45 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Feb 2010 18:03:20 GMT",
"version": "v2"
},
{
"created": "Mon, 12 Apr 2010 10:49:02 GMT",
"version": "v3"
}
] | 2015-03-13 | [
[
"Arutyunov",
"Gleb",
""
],
[
"Frolov",
"Sergey",
""
],
[
"Suzuki",
"Ryo",
""
]
] | We apply the contour deformation trick to the Thermodynamic Bethe Ansatz equations for the AdS_5 \times S^5 mirror model, and obtain the integral equations determining the energy of two-particle excited states dual to N=4 SYM operators from the sl(2) sector. We show that each state/operator is described by its own set of TBA equations. Moreover, we provide evidence that for each state there are infinitely-many critical values of 't Hooft coupling constant \lambda, and the excited states integral equations have to be modified each time one crosses one of those. In particular, estimation based on the large L asymptotic solution gives \lambda \approx 774 for the first critical value corresponding to the Konishi operator. Our results indicate that the related calculations and conclusions of Gromov, Kazakov and Vieira should be interpreted with caution. The phenomenon we discuss might potentially explain the mismatch between their recent computation of the scaling dimension of the Konishi operator and the one done by Roiban and Tseytlin by using the string theory sigma model. |
1904.08433 | Mudassir Moosa | Ning Bao, Mudassir Moosa, and Ibrahim Shehzad | The holographic dual of R\'enyi relative entropy | 37 pages, 3 figures. V3: added references | null | 10.1007/JHEP08(2019)099 | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The relative entropy is a measure of the distinguishability of two quantum
states. A great deal of progress has been made in the study of the relative
entropy between an excited state and the vacuum state of a conformal field
theory (CFT) reduced to a spherical region. For example, when the excited state
is a small perturbation of the vacuum state, the relative entropy is known to
have a universal expression for \textit{all} CFT's
\cite{Faulk-GR-entanglement}. Specifically, the perturbative relative entropy
can be written as the symplectic flux of a certain scalar field in an
\textit{auxiliary} AdS-Rindler spacetime \cite{Faulk-GR-entanglement}.
Moreover, if the CFT has a semi-classical holographic dual, the relative
entropy is known to be related to conserved charges in the bulk dual spacetime
\cite{lashkari2016gravitational}. In this paper, we introduce a one-parameter
generalization of the relative entropy which we call \textit{refined} R\'enyi
relative entropy. We study this quantity in CFT's and find a one-parameter
generalization of the aforementioned known results about the relative entropy.
We also discuss a new family of positive energy theorems in asymptotically
locally AdS spacetimes that arises from the holographic dual of the refined
R\'enyi relative entropy.
| [
{
"created": "Wed, 17 Apr 2019 18:00:08 GMT",
"version": "v1"
},
{
"created": "Wed, 22 May 2019 22:59:39 GMT",
"version": "v2"
},
{
"created": "Mon, 22 Jul 2019 20:29:10 GMT",
"version": "v3"
}
] | 2019-11-25 | [
[
"Bao",
"Ning",
""
],
[
"Moosa",
"Mudassir",
""
],
[
"Shehzad",
"Ibrahim",
""
]
] | The relative entropy is a measure of the distinguishability of two quantum states. A great deal of progress has been made in the study of the relative entropy between an excited state and the vacuum state of a conformal field theory (CFT) reduced to a spherical region. For example, when the excited state is a small perturbation of the vacuum state, the relative entropy is known to have a universal expression for \textit{all} CFT's \cite{Faulk-GR-entanglement}. Specifically, the perturbative relative entropy can be written as the symplectic flux of a certain scalar field in an \textit{auxiliary} AdS-Rindler spacetime \cite{Faulk-GR-entanglement}. Moreover, if the CFT has a semi-classical holographic dual, the relative entropy is known to be related to conserved charges in the bulk dual spacetime \cite{lashkari2016gravitational}. In this paper, we introduce a one-parameter generalization of the relative entropy which we call \textit{refined} R\'enyi relative entropy. We study this quantity in CFT's and find a one-parameter generalization of the aforementioned known results about the relative entropy. We also discuss a new family of positive energy theorems in asymptotically locally AdS spacetimes that arises from the holographic dual of the refined R\'enyi relative entropy. |
1905.00438 | Mehmet Ozkan | Mehmet Ozkan, Yi Pang, Utku Zorba | Unitary Extension of Exotic Massive 3D Gravity from Bi-gravity | 6 pages, 3 figures, v3: title changed, version appeared on PRL | Phys. Rev. Lett. 123, 031303 (2019) | 10.1103/PhysRevLett.123.031303 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We obtain a new 3D gravity model from two copies of parity-odd
Einstein-Cartan theories. Using Hamiltonian analysis, we demonstrate that the
only local degrees of freedom are two massive spin-2 modes. Unitarity of the
model in anti-de Sitter and Minkowski backgrounds can be satisfied for vast
choices of the parameters without fine-tuning. The recent "exotic massive 3D
gravity" model arises as a limiting case of the new model. We also show that
there exist trajectories on the parameter space of the new model which cross
the boundary between unitary and non-unitary regions. At the crossing point,
one massive graviton decouples resulting in a unitary model with just one bulk
degree of freedom but two positive central charges at odds with the usual
expectation that the critical model has at least one vanishing central charge.
Given the fact that a suitable non-relativistic version of bi-gravity has been
used as an effective theory for gapped spin-2 fractional quantum Hall states,
our model may have interesting applications in condensed matter physics.
| [
{
"created": "Wed, 1 May 2019 18:01:06 GMT",
"version": "v1"
},
{
"created": "Tue, 7 May 2019 08:48:08 GMT",
"version": "v2"
},
{
"created": "Wed, 17 Jul 2019 16:43:58 GMT",
"version": "v3"
}
] | 2019-07-19 | [
[
"Ozkan",
"Mehmet",
""
],
[
"Pang",
"Yi",
""
],
[
"Zorba",
"Utku",
""
]
] | We obtain a new 3D gravity model from two copies of parity-odd Einstein-Cartan theories. Using Hamiltonian analysis, we demonstrate that the only local degrees of freedom are two massive spin-2 modes. Unitarity of the model in anti-de Sitter and Minkowski backgrounds can be satisfied for vast choices of the parameters without fine-tuning. The recent "exotic massive 3D gravity" model arises as a limiting case of the new model. We also show that there exist trajectories on the parameter space of the new model which cross the boundary between unitary and non-unitary regions. At the crossing point, one massive graviton decouples resulting in a unitary model with just one bulk degree of freedom but two positive central charges at odds with the usual expectation that the critical model has at least one vanishing central charge. Given the fact that a suitable non-relativistic version of bi-gravity has been used as an effective theory for gapped spin-2 fractional quantum Hall states, our model may have interesting applications in condensed matter physics. |
2212.04599 | Gerald V. Dunne | Gerald V. Dunne and Zachary Harris | Resurgence of the Effective Action in Inhomogeneous Fields | 26 pages, 10 figures | null | 10.1103/PhysRevD.107.065003 | null | hep-th hep-ph math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show how background field inhomogeneities modify the non-perturbative
structure of the effective action. The simple Borel poles of the
Euler-Heisenberg effective action become branch points, and new branch points
also appear, indicating new non-perturbative effects. This information is
resurgently encoded in the perturbative weak field expansion, and becomes
physically significant for strongly inhomogeneous fields. We also show that
resurgent extrapolation methods permit the decoding of a surprising amount of
non-perturbative information from a relatively modest amount of perturbative
input, enabling accurate analytic continuations from weak field to strong
field, and of a spatially dependent magnetic background to a time dependent
electric background. These extrapolations are far superior to standard WKB and
locally constant field approximations.
| [
{
"created": "Thu, 8 Dec 2022 23:14:25 GMT",
"version": "v1"
}
] | 2023-03-15 | [
[
"Dunne",
"Gerald V.",
""
],
[
"Harris",
"Zachary",
""
]
] | We show how background field inhomogeneities modify the non-perturbative structure of the effective action. The simple Borel poles of the Euler-Heisenberg effective action become branch points, and new branch points also appear, indicating new non-perturbative effects. This information is resurgently encoded in the perturbative weak field expansion, and becomes physically significant for strongly inhomogeneous fields. We also show that resurgent extrapolation methods permit the decoding of a surprising amount of non-perturbative information from a relatively modest amount of perturbative input, enabling accurate analytic continuations from weak field to strong field, and of a spatially dependent magnetic background to a time dependent electric background. These extrapolations are far superior to standard WKB and locally constant field approximations. |
hep-th/0311178 | Akihiro Ishibashi | Stefan Hollands (Univ. of Chicago) and Akihiro Ishibashi (Univ. of
Cambridge) | Asymptotic flatness at null infinity in higher dimensional gravity | 11 pages. A concise version of gr-qc/0304054, based on talk given at
the Seventh Hungarian Relativity Workshop, 10-15 Aug 2003, Sarospatak,
Hungary. several corrections are made, comments on asymptotic symmetries in
d>4 and conformal gauge choices are added | null | null | null | hep-th gr-qc | null | We give a geometrical definition of the asymptotic flatness at null infinity
in spacetimes of even dimension $d$ greater than 4 within the framework of
conformal infinity. Our definition is shown to be stable against perturbations
to linear order. We also show that our definition is stringent enough to allow
one to define the total energy of the system viewed from null infinity as the
generator conjugate to an asymptotic time translation. We derive an expression
for the generator conjugate within the Hamiltonian framework, and propose to
take this notion of energy as the natural generalisation of the Bondi energy to
higher dimensions. Our definitions of asymptotic flatness and the Bondi energy
formula differ qualitatively from the corresponding definitions in $d=4$;
although the asymptotic structure of null infinity in higher dimensions
parallels that in 4-dimensions in some ways, the latter seems to be a rather
special case on the whole compared to general $d>4$. Our definitions and
constructions do not work in odd spacetime dimensions, essentially because the
unphysical metric seems to have insufficient regularity properties at null
infinity in that case.
| [
{
"created": "Wed, 19 Nov 2003 21:02:17 GMT",
"version": "v1"
},
{
"created": "Sat, 29 May 2004 15:14:08 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Hollands",
"Stefan",
"",
"Univ. of Chicago"
],
[
"Ishibashi",
"Akihiro",
"",
"Univ. of\n Cambridge"
]
] | We give a geometrical definition of the asymptotic flatness at null infinity in spacetimes of even dimension $d$ greater than 4 within the framework of conformal infinity. Our definition is shown to be stable against perturbations to linear order. We also show that our definition is stringent enough to allow one to define the total energy of the system viewed from null infinity as the generator conjugate to an asymptotic time translation. We derive an expression for the generator conjugate within the Hamiltonian framework, and propose to take this notion of energy as the natural generalisation of the Bondi energy to higher dimensions. Our definitions of asymptotic flatness and the Bondi energy formula differ qualitatively from the corresponding definitions in $d=4$; although the asymptotic structure of null infinity in higher dimensions parallels that in 4-dimensions in some ways, the latter seems to be a rather special case on the whole compared to general $d>4$. Our definitions and constructions do not work in odd spacetime dimensions, essentially because the unphysical metric seems to have insufficient regularity properties at null infinity in that case. |
hep-th/0007101 | Ulf Lindstrom | Ulf Lindstrom and Harald Svendsen | A pedestrian approach to the high energy limits of branes and other
gravitational systems | 19 pages, 1 figure | Int.J.Mod.Phys. A16 (2001) 1347-1366 | 10.1142/S0217751X01003081 | USITP-00-09 | hep-th | null | In this article we study limits of models that contain a dimensionful
parameter such as the mass of the relativistic point-particle. The limits are
analogous to the massless limit of the particle and may be thought of as high
energy limits. We present the ideas and work through several examples in a
(hopefully) pedagogical manner. Along the way we derive several new results.
| [
{
"created": "Thu, 13 Jul 2000 11:41:20 GMT",
"version": "v1"
}
] | 2016-12-21 | [
[
"Lindstrom",
"Ulf",
""
],
[
"Svendsen",
"Harald",
""
]
] | In this article we study limits of models that contain a dimensionful parameter such as the mass of the relativistic point-particle. The limits are analogous to the massless limit of the particle and may be thought of as high energy limits. We present the ideas and work through several examples in a (hopefully) pedagogical manner. Along the way we derive several new results. |
hep-th/0111189 | Stefan Fredenhagen | Stefan Fredenhagen, Volker Schomerus | D-Branes in Coset Models | 39 pages, 3 figures, some remarks and references added | JHEP 0202:005,2002 | 10.1088/1126-6708/2002/02/005 | AEI-2001-136, LPTENS 01/43 | hep-th | null | The analysis of D-branes in coset models G/H provides a natural extension of
recent studies on branes in WZW-theory and it has various interesting
applications to physically relevant models. In this work we develop a reduction
procedure that allows to construct the non-commutative gauge theories which
govern the dynamics of branes in G/H. We obtain a large class of solutions and
interprete the associated condensation processes geometrically. The latter are
used to propose conservation laws for the dynamics of branes in coset models at
large level k. In super-symmetric theories, conserved charges are argued to
take their values in the representation ring of the denominator theory.
Finally, we apply the general results to study boundary fixed points in two
examples, namely for parafermions and minimal models.
| [
{
"created": "Wed, 21 Nov 2001 16:05:46 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Nov 2001 12:52:28 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Fredenhagen",
"Stefan",
""
],
[
"Schomerus",
"Volker",
""
]
] | The analysis of D-branes in coset models G/H provides a natural extension of recent studies on branes in WZW-theory and it has various interesting applications to physically relevant models. In this work we develop a reduction procedure that allows to construct the non-commutative gauge theories which govern the dynamics of branes in G/H. We obtain a large class of solutions and interprete the associated condensation processes geometrically. The latter are used to propose conservation laws for the dynamics of branes in coset models at large level k. In super-symmetric theories, conserved charges are argued to take their values in the representation ring of the denominator theory. Finally, we apply the general results to study boundary fixed points in two examples, namely for parafermions and minimal models. |
0907.2691 | Roberto Valandro | Andreas P. Braun, Rainer Ebert, Arthur Hebecker, Roberto Valandro | Weierstrass meets Enriques | 35 pages, 9 figures | JHEP 1002:077,2010 | 10.1007/JHEP02(2010)077 | HD-THEP-09-16 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study in detail the degeneration of K3 to T^4/Z_2. We obtain an explicit
embedding of the lattice of collapsed cycles of T^4/Z_2 into the lattice of
integral cycles of K3 in two different ways. Our first method exploits the
duality to the heterotic string on T^3. This allows us to describe the
degeneration in terms of Wilson lines. Our second method is based on the
blow-up of T^4/Z_2. From this blow-up, we directly construct the full lattice
of integral cycles of K3. Finally, we use our results to describe the action of
the Enriques involution on elliptic K3 surfaces, finding that a Weierstrass
model description is consistent with the Enriques involution only in the
F-theory limit.
| [
{
"created": "Wed, 15 Jul 2009 20:01:05 GMT",
"version": "v1"
}
] | 2010-03-02 | [
[
"Braun",
"Andreas P.",
""
],
[
"Ebert",
"Rainer",
""
],
[
"Hebecker",
"Arthur",
""
],
[
"Valandro",
"Roberto",
""
]
] | We study in detail the degeneration of K3 to T^4/Z_2. We obtain an explicit embedding of the lattice of collapsed cycles of T^4/Z_2 into the lattice of integral cycles of K3 in two different ways. Our first method exploits the duality to the heterotic string on T^3. This allows us to describe the degeneration in terms of Wilson lines. Our second method is based on the blow-up of T^4/Z_2. From this blow-up, we directly construct the full lattice of integral cycles of K3. Finally, we use our results to describe the action of the Enriques involution on elliptic K3 surfaces, finding that a Weierstrass model description is consistent with the Enriques involution only in the F-theory limit. |
2002.00229 | Danilo Moreira | D. Bazeia, D. A. Ferreira and D. C. Moreira | First order formalism for thick branes in modified gravity with Lagrange
multiplier | 7 pages, 9 figures, it matches the published version | EPL (Europhysics Letters) 129 (1), 11004 (2020) | 10.1209/0295-5075/129/11004 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This work discuss the construction of braneworld solutions in modified
gravity with Lagrange multipliers. We examine the general aspects of the model
and present a first order formalism that help us to find analytic solutions of
the equations of motion. We also investigate some explicit models, analyse
linear stability of the metric and comment on how to relate models investigated
in other works to the ones examined in the present study.
| [
{
"created": "Sat, 1 Feb 2020 15:19:12 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Feb 2020 19:14:50 GMT",
"version": "v2"
}
] | 2020-02-19 | [
[
"Bazeia",
"D.",
""
],
[
"Ferreira",
"D. A.",
""
],
[
"Moreira",
"D. C.",
""
]
] | This work discuss the construction of braneworld solutions in modified gravity with Lagrange multipliers. We examine the general aspects of the model and present a first order formalism that help us to find analytic solutions of the equations of motion. We also investigate some explicit models, analyse linear stability of the metric and comment on how to relate models investigated in other works to the ones examined in the present study. |
hep-th/0401231 | Gerhard Grensing | G. Grensing and M. Nitschmann | Berezin integration over anticommuting variables and cyclic cohomology | 20 pages | null | null | null | hep-th | null | Berezin integration over fermionic degrees of freedom as a standard tool of
quantum field theory is analysed from the viewpoint of noncommutative geometry.
It is shown that among the variety of contradictory integration prescriptions
existing in the current literature, there is only one unique minimal set of
consistent rules, which is compatible with Connes' normalized cyclic cohomology
of the Gra{\ss}mann algebra.
| [
{
"created": "Thu, 29 Jan 2004 12:37:47 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Grensing",
"G.",
""
],
[
"Nitschmann",
"M.",
""
]
] | Berezin integration over fermionic degrees of freedom as a standard tool of quantum field theory is analysed from the viewpoint of noncommutative geometry. It is shown that among the variety of contradictory integration prescriptions existing in the current literature, there is only one unique minimal set of consistent rules, which is compatible with Connes' normalized cyclic cohomology of the Gra{\ss}mann algebra. |
1003.4089 | Mohammad M. Sheikh-Jabbari | F. Loran and M.M. Sheikh-Jabbari | O-BTZ: Orientifolded BTZ Black Hole | RevTex file, 5 pages, 2 figures. v3: Minor improvements and
correction | Phys.Lett.B693:184-187,2010 | 10.1016/j.physletb.2010.08.022 | IPM/P-2010/009 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Banados-Teitelboim-Zanelli (BTZ) black holes are constructed by orbifolding
AdS3 geometry by boost transformations of its O(2,2) isometry group. Here we
construct a new class of solutions to AdS3 Einstein gravity, orientifolded BTZ
or O-BTZ for short, which in general, besides the usual BTZ orbifolding,
involve orbifolding (orientifolding) by a Z_2 part of O(2,2) isometry group.
This Z_2 is chosen such that it changes the orientation on AdS3 while keeping
the orientation on its 2D conformal boundary. O-BTZ solutions exhaust all
un-oriented AdS3 black hole solutions, as BTZ black holes constitute all
oriented AdS3 black holes. O-BTZ, similarly to BTZ black holes, are stationary,
axisymmetric asymptotically AdS3 geometries with two asymptotic charges, mass
and angular momentum..
| [
{
"created": "Mon, 22 Mar 2010 07:11:11 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Apr 2010 10:56:55 GMT",
"version": "v2"
},
{
"created": "Wed, 28 Jul 2010 06:58:28 GMT",
"version": "v3"
}
] | 2015-03-13 | [
[
"Loran",
"F.",
""
],
[
"Sheikh-Jabbari",
"M. M.",
""
]
] | Banados-Teitelboim-Zanelli (BTZ) black holes are constructed by orbifolding AdS3 geometry by boost transformations of its O(2,2) isometry group. Here we construct a new class of solutions to AdS3 Einstein gravity, orientifolded BTZ or O-BTZ for short, which in general, besides the usual BTZ orbifolding, involve orbifolding (orientifolding) by a Z_2 part of O(2,2) isometry group. This Z_2 is chosen such that it changes the orientation on AdS3 while keeping the orientation on its 2D conformal boundary. O-BTZ solutions exhaust all un-oriented AdS3 black hole solutions, as BTZ black holes constitute all oriented AdS3 black holes. O-BTZ, similarly to BTZ black holes, are stationary, axisymmetric asymptotically AdS3 geometries with two asymptotic charges, mass and angular momentum.. |
2001.08274 | Stanislaw D. Glazek | Stanislaw D. Glazek | Gauge boson mass as regulator | 4 pages, plain latex | null | null | null | hep-th nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Small-x divergences of Abelian gauge theory in the front form of Hamiltonian
dynamics are regulated using a mass parameter for gauge bosons, introduced
through a mechanism analogous to the spontaneous breaking of global gauge
symmetry. A corresponding family of ultraviolet and infrared finite
scale-dependent renormalized Hamiltonians, is calculable order-by-order using
the renormalization group procedure for effective particles. The second-order
terms described here suggest the magnitude of mass corrections that may be
involved in resolving the small-x parton and front-form vacuum and zero-mode
problems, assuming that the gauge boson mass that counts does not exceed the
current upper bound on the photon mass.
| [
{
"created": "Wed, 22 Jan 2020 20:48:30 GMT",
"version": "v1"
}
] | 2020-01-24 | [
[
"Glazek",
"Stanislaw D.",
""
]
] | Small-x divergences of Abelian gauge theory in the front form of Hamiltonian dynamics are regulated using a mass parameter for gauge bosons, introduced through a mechanism analogous to the spontaneous breaking of global gauge symmetry. A corresponding family of ultraviolet and infrared finite scale-dependent renormalized Hamiltonians, is calculable order-by-order using the renormalization group procedure for effective particles. The second-order terms described here suggest the magnitude of mass corrections that may be involved in resolving the small-x parton and front-form vacuum and zero-mode problems, assuming that the gauge boson mass that counts does not exceed the current upper bound on the photon mass. |
hep-th/9210112 | null | Yutaka Hosotani and Choon-Lin Ho | Anyons on a Torus | 4 pages, plain TeX, UMN-TH-1116/92 | null | 10.1063/1.43444 | null | hep-th | null | We prove the equivalence between anyon quantum mechanics on a torus and
Chern-Simons gauge theory. It is also shown that the Hamiltonian and total
momenta commute among themselves only in the physical Hilbert space.
| [
{
"created": "Tue, 20 Oct 1992 19:55:17 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Hosotani",
"Yutaka",
""
],
[
"Ho",
"Choon-Lin",
""
]
] | We prove the equivalence between anyon quantum mechanics on a torus and Chern-Simons gauge theory. It is also shown that the Hamiltonian and total momenta commute among themselves only in the physical Hilbert space. |
1705.05469 | Stefan Leichenauer | Stefan Leichenauer | The Quantum Focusing Conjecture Has Not Been Violated | 5 pages | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recent work of Fu, Koeller, and Marolf shows that in $d\geq 5$ dimensions a
nonzero Gauss-Bonnet coupling of either sign can lead to a pointwise violation
of the Quantum Focusing Conjecture. This violation is due to the classical
geometric terms appearing in the QFC. Since those geometric terms are properly
understood as expectation values of operators in an effective field theory, we
argue that they are only well-defined when smeared over a region at least as
large as the cutoff scale of the theory (which may be the Planck scale). We
find that this smearing prescription removes the pointwise violation found by
Fu et al.. We comment on the relationship to similar issues encountered in the
study of Entanglement Wedge Nesting in holography.
| [
{
"created": "Mon, 15 May 2017 22:16:34 GMT",
"version": "v1"
}
] | 2017-05-17 | [
[
"Leichenauer",
"Stefan",
""
]
] | Recent work of Fu, Koeller, and Marolf shows that in $d\geq 5$ dimensions a nonzero Gauss-Bonnet coupling of either sign can lead to a pointwise violation of the Quantum Focusing Conjecture. This violation is due to the classical geometric terms appearing in the QFC. Since those geometric terms are properly understood as expectation values of operators in an effective field theory, we argue that they are only well-defined when smeared over a region at least as large as the cutoff scale of the theory (which may be the Planck scale). We find that this smearing prescription removes the pointwise violation found by Fu et al.. We comment on the relationship to similar issues encountered in the study of Entanglement Wedge Nesting in holography. |
1008.1015 | Alexander Prygarin | L. N. Lipatov | Analytic properties of high energy production amplitudes in N=4 SUSY | To appear in the proceedings of 16th International Seminar on High
Energy Physics, QUARKS-2010, Kolomna, Russia, 6-12 June, 2010. 15 pages | null | 10.1007/s11232-012-0018-5 | DESY-10-125 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate analytic properties of the six point planar amplitude in N=4
SUSY at the multi-Regge kinematics for final state particles. For inelastic
processes the Steinmann relations play an important role because they give a
possibility to fix the phase structure of the Regge pole and Mandelstam cut
contributions. These contributions have the Moebius invariant form in the
transverse momentum subspace. The analyticity and factorization constraints
allow us to reproduce the two-loop correction to the 6-point BDS amplitude in
N=4 SUSY obtained earlier in the leading logarithmic approximation with the use
of the s-channel unitarity. The exponentiation hypothesis for the remainder
function in the multi-Regge kinematics is also investigated. The 6-point
amplitude in LLA can be completely reproduced from the BDS ansatz with the use
of the analyticity and Regge factorization.
| [
{
"created": "Thu, 5 Aug 2010 16:07:04 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Nov 2010 14:14:29 GMT",
"version": "v2"
},
{
"created": "Fri, 12 Nov 2010 13:48:08 GMT",
"version": "v3"
}
] | 2015-05-19 | [
[
"Lipatov",
"L. N.",
""
]
] | We investigate analytic properties of the six point planar amplitude in N=4 SUSY at the multi-Regge kinematics for final state particles. For inelastic processes the Steinmann relations play an important role because they give a possibility to fix the phase structure of the Regge pole and Mandelstam cut contributions. These contributions have the Moebius invariant form in the transverse momentum subspace. The analyticity and factorization constraints allow us to reproduce the two-loop correction to the 6-point BDS amplitude in N=4 SUSY obtained earlier in the leading logarithmic approximation with the use of the s-channel unitarity. The exponentiation hypothesis for the remainder function in the multi-Regge kinematics is also investigated. The 6-point amplitude in LLA can be completely reproduced from the BDS ansatz with the use of the analyticity and Regge factorization. |
2209.02079 | Walter Baron | Walter H. Baron, Diego Marques and Carmen A. Nunez | The $\beta$-symmetry of supergravity | 8 pages | null | 10.1103/PhysRevLett.130.061601 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Continuous O$(d,d)$ global symmetries emerge in Kaluza-Klein reductions of
$D$-dimensional string supergravities to $D-d$ dimensions. We show that the
non-geometric elements of this group effectively act in the $D$-dimensional
parent theory as a hidden bosonic symmetry that fixes its couplings: the
$\beta$-symmetry. We give the explicit $\beta$-transformations to first order
in $\alpha'$ and verify the invariance of the action as well as the closure of
the transformation rules.
| [
{
"created": "Mon, 5 Sep 2022 18:00:11 GMT",
"version": "v1"
}
] | 2023-02-22 | [
[
"Baron",
"Walter H.",
""
],
[
"Marques",
"Diego",
""
],
[
"Nunez",
"Carmen A.",
""
]
] | Continuous O$(d,d)$ global symmetries emerge in Kaluza-Klein reductions of $D$-dimensional string supergravities to $D-d$ dimensions. We show that the non-geometric elements of this group effectively act in the $D$-dimensional parent theory as a hidden bosonic symmetry that fixes its couplings: the $\beta$-symmetry. We give the explicit $\beta$-transformations to first order in $\alpha'$ and verify the invariance of the action as well as the closure of the transformation rules. |
hep-th/9411105 | M. Navarro | J. Navarro-Salas, M. Navarro and C. F. Talavera | Diffeomorphisms, Noether Charges and Canonical Formalism in 2D Dilaton
Gravity | 14 pages, latex with psfig macro, one figure | Phys.Rev. D52 (1995) 6831-6839 | 10.1103/PhysRevD.52.6831 | FTUV/94-65, IFIC/94-62, Imperial-TP/93-94/60 | hep-th | null | We carry out a parallel study of the covariant phase space and the
conservation laws of local symmetries in two-dimensional dilaton gravity. Our
analysis is based on the fact that the Lagrangian can be brought to a form that
vanishes on-shell giving rise to a well-defined covariant potential for the
symplectic current. We explicitly compute the symplectic structure and its
potential and show that the requirement to be finite and independent of the
Cauchy surface restricts the asymptotic symmetries.
| [
{
"created": "Tue, 15 Nov 1994 15:34:02 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Navarro-Salas",
"J.",
""
],
[
"Navarro",
"M.",
""
],
[
"Talavera",
"C. F.",
""
]
] | We carry out a parallel study of the covariant phase space and the conservation laws of local symmetries in two-dimensional dilaton gravity. Our analysis is based on the fact that the Lagrangian can be brought to a form that vanishes on-shell giving rise to a well-defined covariant potential for the symplectic current. We explicitly compute the symplectic structure and its potential and show that the requirement to be finite and independent of the Cauchy surface restricts the asymptotic symmetries. |
1109.0011 | Xi Dong | Xi Dong, Daniel Harlow | Analytic Coleman-De Luccia Geometries | 18 pages, 5 figures; (v3) removed a footnote, other minor
corrections, version published in JCAP | JCAP 1111:044,2011 | 10.1088/1475-7516/2011/11/044 | SU-ITP-11/45; SLAC-PUB-14555 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present the necessary and sufficient conditions for a Euclidean scale
factor to be a solution of the Coleman-De Luccia equations for some analytic
potential $V(\phi)$, with a Lorentzian continuation describing the growth of a
bubble of lower-energy vacuum surrounded by higher-energy vacuum. We then give
a set of explicit examples that satisfy the conditions and thus are closed-form
analytic examples of Coleman-De Luccia geometries.
| [
{
"created": "Wed, 31 Aug 2011 20:00:51 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Sep 2011 01:11:51 GMT",
"version": "v2"
},
{
"created": "Wed, 11 Jan 2012 05:58:18 GMT",
"version": "v3"
}
] | 2012-07-03 | [
[
"Dong",
"Xi",
""
],
[
"Harlow",
"Daniel",
""
]
] | We present the necessary and sufficient conditions for a Euclidean scale factor to be a solution of the Coleman-De Luccia equations for some analytic potential $V(\phi)$, with a Lorentzian continuation describing the growth of a bubble of lower-energy vacuum surrounded by higher-energy vacuum. We then give a set of explicit examples that satisfy the conditions and thus are closed-form analytic examples of Coleman-De Luccia geometries. |
1503.03380 | Andrey Slavnov A | A. A. Slavnov | New approach to the quantization of the Yang-Mills field | 14 pages, submitted to Theoretical and Mathematical Physics | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Review of the papers on the new method of the Yang-Mills field quantization
applicable both in perturbation theory and beyond it is presented. It is shown
that in the modified formulation of the Yang-Mills theory leading to the formal
perturbation theory, which coincides with the standard one, there exist soliton
solutions of the classical equations of motion.
| [
{
"created": "Wed, 11 Mar 2015 15:42:10 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Mar 2015 14:26:06 GMT",
"version": "v2"
}
] | 2015-03-13 | [
[
"Slavnov",
"A. A.",
""
]
] | Review of the papers on the new method of the Yang-Mills field quantization applicable both in perturbation theory and beyond it is presented. It is shown that in the modified formulation of the Yang-Mills theory leading to the formal perturbation theory, which coincides with the standard one, there exist soliton solutions of the classical equations of motion. |
2104.11109 | Ashoke Sen | Ashoke Sen | Normalization of Type IIB D-instanton Amplitudes | LaTeX file, 46 pages; v2: typos corrected; v3: minor clarifications
added | null | 10.1007/JHEP12(2021)146 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the normalization of single D-instanton amplitudes in type IIB
string theory and show that the result agrees with the prediction of S-duality
due to Green and Gutperle.
| [
{
"created": "Thu, 22 Apr 2021 14:45:21 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Apr 2021 14:30:02 GMT",
"version": "v2"
},
{
"created": "Thu, 8 Jul 2021 18:52:07 GMT",
"version": "v3"
}
] | 2022-01-05 | [
[
"Sen",
"Ashoke",
""
]
] | We compute the normalization of single D-instanton amplitudes in type IIB string theory and show that the result agrees with the prediction of S-duality due to Green and Gutperle. |
1203.3599 | Kristan Jensen | Kristan Jensen | Triangle Anomalies, Thermodynamics, and Hydrodynamics | 4+epsilon pages, REVTeX 4.1; v2: updated references | Phys.Rev. D85 (2012) 125017 | 10.1103/PhysRevD.85.125017 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider 3+1-dimensional fluids with U(1)^3 anomalies. We use Ward
identities to constrain low-momentum Euclidean correlation functions and obtain
differential equations that relate two and three-point functions. The solution
to those equations yields, among other things, the chiral magnetic
conductivity. We then compute zero-frequency functions in hydrodynamics and
show that the consistency of the hydrodynamic theory also fixes the
anomaly-induced conductivities.
| [
{
"created": "Fri, 16 Mar 2012 01:19:28 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Apr 2012 17:45:43 GMT",
"version": "v2"
}
] | 2013-11-27 | [
[
"Jensen",
"Kristan",
""
]
] | We consider 3+1-dimensional fluids with U(1)^3 anomalies. We use Ward identities to constrain low-momentum Euclidean correlation functions and obtain differential equations that relate two and three-point functions. The solution to those equations yields, among other things, the chiral magnetic conductivity. We then compute zero-frequency functions in hydrodynamics and show that the consistency of the hydrodynamic theory also fixes the anomaly-induced conductivities. |
hep-th/9503207 | A. Sagnotti | G. Pradisi, A. Sagnotti and Ya.S. Stanev | Planar Duality in $SU(2)$ WZW Models | 13 pages, latex, 1 figure. | Phys.Lett. B354 (1995) 279-286 | 10.1016/0370-2693(95)00532-P | ROM2F-95/4, CPTH/RR.355.0395 | hep-th | null | We show how to generalize the $SU(2)$ WZW models to allow for open and
unoriented sectors. The construction exhibits some novel patterns of Chan-Paton
charge assignments and projected spectra that reflect the underlying current
algebra.
| [
{
"created": "Wed, 29 Mar 1995 18:39:28 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Pradisi",
"G.",
""
],
[
"Sagnotti",
"A.",
""
],
[
"Stanev",
"Ya. S.",
""
]
] | We show how to generalize the $SU(2)$ WZW models to allow for open and unoriented sectors. The construction exhibits some novel patterns of Chan-Paton charge assignments and projected spectra that reflect the underlying current algebra. |
1404.7635 | Athanasios Chatzistavrakidis | Athanasios Chatzistavrakidis, Fridrik Freyr Gautason | U-dual branes and mixed symmetry tensor fields | 5 pages; contribution to the proceedings of the Workshop on
Noncommutative Field Theory and Gravity, Corfu, Greece, September 8-15, 2013;
to appear in Fortsch. Phys | null | 10.1002/prop.201400023 | ITP-UH-04/14 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review and explain the relation between U-dual branes in string theory and
mixed symmetry tensors of various degrees. In certain cases these mixed
symmetry tensors can be related to diverse types of fluxes that play an
important role in compactifications of string theory.
| [
{
"created": "Wed, 30 Apr 2014 08:53:58 GMT",
"version": "v1"
}
] | 2016-01-20 | [
[
"Chatzistavrakidis",
"Athanasios",
""
],
[
"Gautason",
"Fridrik Freyr",
""
]
] | We review and explain the relation between U-dual branes in string theory and mixed symmetry tensors of various degrees. In certain cases these mixed symmetry tensors can be related to diverse types of fluxes that play an important role in compactifications of string theory. |
hep-th/0610214 | David Tong | David Tong | Superconformal Vortex Strings | 22 pages. v2: change to introduction | JHEP0612:051,2006 | 10.1088/1126-6708/2006/12/051 | null | hep-th | null | We study the low-energy dynamics of semi-classical vortex strings living
above Argyres-Douglas superconformal field theories. The worldsheet theory of
the string is shown to be a deformation of the CP^N model which flows in the
infra-red to a superconformal minimal model. The scaling dimensions of chiral
primary operators are determined and the dimensions of the associated relevant
perturbations on the worldsheet and in the four dimensional bulk are found to
agree. The vortex string thereby provides a map between the A-series of N=2
superconformal theories in two and four dimensions.
| [
{
"created": "Thu, 19 Oct 2006 10:40:05 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Nov 2006 17:18:46 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Tong",
"David",
""
]
] | We study the low-energy dynamics of semi-classical vortex strings living above Argyres-Douglas superconformal field theories. The worldsheet theory of the string is shown to be a deformation of the CP^N model which flows in the infra-red to a superconformal minimal model. The scaling dimensions of chiral primary operators are determined and the dimensions of the associated relevant perturbations on the worldsheet and in the four dimensional bulk are found to agree. The vortex string thereby provides a map between the A-series of N=2 superconformal theories in two and four dimensions. |
hep-th/9111062 | "G. M. T." Watts | P. Bowcock and G Watts | On the classification of quantum W-algebras | 28 pages | Nucl.Phys. B379 (1992) 63-95 | 10.1016/0550-3213(92)90590-8 | null | hep-th | null | In this paper we consider the structure of general quantum W-algebras. We
introduce the notions of deformability, positive-definiteness, and reductivity
of a W-algebra. We show that one can associate a reductive finite Lie algebra
to each reductive W-algebra. The finite Lie algebra is also endowed with a
preferred $sl(2)$ subalgebra, which gives the conformal weights of the
W-algebra. We extend this to cover W-algebras containing both bosonic and
fermionic fields, and illustrate our ideas with the Poisson bracket algebras of
generalised Drinfeld-Sokolov Hamiltonian systems. We then discuss the
possibilities of classifying deformable W-algebras which fall outside this
class in the context of automorphisms of Lie algebras. In conclusion we list
the cases in which the W-algebra has no weight one fields, and further, those
in which it has only one weight two field.
| [
{
"created": "Thu, 28 Nov 1991 17:11:53 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Bowcock",
"P.",
""
],
[
"Watts",
"G",
""
]
] | In this paper we consider the structure of general quantum W-algebras. We introduce the notions of deformability, positive-definiteness, and reductivity of a W-algebra. We show that one can associate a reductive finite Lie algebra to each reductive W-algebra. The finite Lie algebra is also endowed with a preferred $sl(2)$ subalgebra, which gives the conformal weights of the W-algebra. We extend this to cover W-algebras containing both bosonic and fermionic fields, and illustrate our ideas with the Poisson bracket algebras of generalised Drinfeld-Sokolov Hamiltonian systems. We then discuss the possibilities of classifying deformable W-algebras which fall outside this class in the context of automorphisms of Lie algebras. In conclusion we list the cases in which the W-algebra has no weight one fields, and further, those in which it has only one weight two field. |
2305.00793 | Abdelmalek Boumali | Abdelmalek Bouzenada, Abdelmalek Boumali, R. L. L .Vitoria, Faizuddin
Ahmed, Marwan Al-Raeei | Feshbach-Villars oscillator (FVO) in Kaluza-Klein Theory (KKT) | arXiv admin note: text overlap with arXiv:2304.12496 (Accepted for
publication In Nuclear Physics B) | null | 10.1016/j.nuclphysb.2023.116288 | null | hep-th | http://creativecommons.org/publicdomain/zero/1.0/ | This research investigates the relativistic quantum dynamics of spin-0 scalar
massive charged particles via the relativistic Feshbach-Villars oscillator in
the background of the Kaluza-Klein Theory. We solve the Feshbach-Villars
equation in the abckground of a cosmic string spec-time in the context of the
Kaluza-Klein and presented the eigenvalue solution. Afterward, we rewrite this
system in the case of the Feshbach-Villars quantum oscillator and obtain the
eigenvalue analytically. Finally, we study the interaction of the
Feshbach-Villars equation and oscillator in a cosmic dislocation in the
Som-Raychaudhuri in the context of the Kaluza-Klein Theory and solve the wave
equation analytically. We analyze the influence of topological defect in the
quantification of energy and wave function of the Feshbach-Villars oscillator
and with the external fields in the last one
| [
{
"created": "Mon, 1 May 2023 12:44:15 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Jul 2023 10:30:09 GMT",
"version": "v2"
}
] | 2023-08-09 | [
[
"Bouzenada",
"Abdelmalek",
""
],
[
"Boumali",
"Abdelmalek",
""
],
[
"Vitoria",
"R. L. L .",
""
],
[
"Ahmed",
"Faizuddin",
""
],
[
"Al-Raeei",
"Marwan",
""
]
] | This research investigates the relativistic quantum dynamics of spin-0 scalar massive charged particles via the relativistic Feshbach-Villars oscillator in the background of the Kaluza-Klein Theory. We solve the Feshbach-Villars equation in the abckground of a cosmic string spec-time in the context of the Kaluza-Klein and presented the eigenvalue solution. Afterward, we rewrite this system in the case of the Feshbach-Villars quantum oscillator and obtain the eigenvalue analytically. Finally, we study the interaction of the Feshbach-Villars equation and oscillator in a cosmic dislocation in the Som-Raychaudhuri in the context of the Kaluza-Klein Theory and solve the wave equation analytically. We analyze the influence of topological defect in the quantification of energy and wave function of the Feshbach-Villars oscillator and with the external fields in the last one |
2011.10154 | Michael Gutperle | Kevin Chen and Michael Gutperle | Janus solutions in three-dimensional N=8 gauged supergravity | 21 pages, pdfLaTeX, 2 figures, v2 minor changes, references added | null | 10.1007/JHEP05(2021)008 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Janus solutions are constructed in $d=3$, ${\cal N}=8$ gauged supergravity.
We find explicit half-BPS solutions where two scalars in the $SO(8,1)/SO(8)$
coset have a nontrivial profile. These solutions correspond on the CFT side to
an interface with a position-dependent expectation value for a relevant
operator and a source which jumps across the interface for a marginal operator.
| [
{
"created": "Fri, 20 Nov 2020 00:10:05 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Mar 2021 22:58:26 GMT",
"version": "v2"
}
] | 2021-05-19 | [
[
"Chen",
"Kevin",
""
],
[
"Gutperle",
"Michael",
""
]
] | Janus solutions are constructed in $d=3$, ${\cal N}=8$ gauged supergravity. We find explicit half-BPS solutions where two scalars in the $SO(8,1)/SO(8)$ coset have a nontrivial profile. These solutions correspond on the CFT side to an interface with a position-dependent expectation value for a relevant operator and a source which jumps across the interface for a marginal operator. |
hep-th/9204095 | Cobi Sonnenschein | O. Aharony, O. Ganor, N. Sochen J. Sonnenschein and S. Yankielowicz | Physical States in G/G Models and 2d Gravity | 42 pages | Nucl.Phys.B399:527-559,1993 | 10.1016/0550-3213(93)90508-M | null | hep-th | null | An analysis of the BRST cohomology of the G/G topological models is performed
for the case of $A_1^{(1)}$. Invoking a special free field parametrization of
the various currents, the cohomology on the corresponding Fock space is
extracted. We employ the singular vector structure and fusion rules to
translate the latter into the cohomology on the space of irreducible
representations. Using the physical states we calculate the characters and
partition function, and verify the index interpretation. We twist the
energy-momentum tensor to establish an intriguing correspondence between the
${SL(2)\over SL(2)}$ model with level $k={p\over q}-2$ and $(p,q)$ models
coupled to gravity.
| [
{
"created": "Wed, 29 Apr 1992 13:12:59 GMT",
"version": "v1"
},
{
"created": "Fri, 1 May 1992 09:37:27 GMT",
"version": "v2"
}
] | 2019-08-15 | [
[
"Aharony",
"O.",
""
],
[
"Ganor",
"O.",
""
],
[
"Sonnenschein",
"N. Sochen J.",
""
],
[
"Yankielowicz",
"S.",
""
]
] | An analysis of the BRST cohomology of the G/G topological models is performed for the case of $A_1^{(1)}$. Invoking a special free field parametrization of the various currents, the cohomology on the corresponding Fock space is extracted. We employ the singular vector structure and fusion rules to translate the latter into the cohomology on the space of irreducible representations. Using the physical states we calculate the characters and partition function, and verify the index interpretation. We twist the energy-momentum tensor to establish an intriguing correspondence between the ${SL(2)\over SL(2)}$ model with level $k={p\over q}-2$ and $(p,q)$ models coupled to gravity. |
1110.6168 | Hiroshi Matsuoka | Hiroshi Matsuoka | Chromo-field flux sheets as confining gauge field configurations in the
SU(N) Euclidean Yang-Mills theory in the Landau gauge | 31 pages. The version to appear in Physical Review D | Phys. Rev. D 85, 065009 (2012) | 10.1103/PhysRevD.85.065009 | null | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For the four-dimensional SU(N) Euclidean Yang-Mills theory in the Landau
gauge, we present two sets of gauge field configurations that satisfy the
Euclidean equations of motion. These configurations generate four-dimensional
chromo-field flux sheets whose spatial cross sections are three-dimensional
chromo-field flux tubes. In lattice simulations, they may be detected as center
vortices. The first set of gauge field configurations generates chromo-electric
flux tubes that should contribute to a chromo-electric flux tube between two
static color charges. The string tension for two static color charges in
representation r then naturally satisfies the Casimir scaling. Applying a gauge
transformation to this set of gauge field configurations, we can transform them
into those in the maximal Abelian gauge. These transformed configurations
generate chromo-electric flux tubes that should contribute to those observed
between two static quarks in lattice simulations performed in the maximal
Abelian gauge. The second set of gauge field configurations generates
chromo-magnetic flux tubes. When rotated in a plane that includes the
temporal-axis and is perpendicular to the flux tube axis, the rotated gauge
field configuration generates a chromo-electric flux tube and should contribute
to the chromo-electric flux tubes observed in lattice simulations in the Landau
gauge. We also argue that when regulated on a lattice, any of the flux sheet
gauge field configuration with a finite flux sheet thickness is located on the
Gribov horizon in the infinite lattice volume limit. We thus suggest that these
sets of gauge field configurations contribute significantly to the low energy
properties of QCD, particularly the quark confinement.
| [
{
"created": "Thu, 27 Oct 2011 19:51:50 GMT",
"version": "v1"
},
{
"created": "Sat, 4 Feb 2012 19:39:09 GMT",
"version": "v2"
}
] | 2015-05-30 | [
[
"Matsuoka",
"Hiroshi",
""
]
] | For the four-dimensional SU(N) Euclidean Yang-Mills theory in the Landau gauge, we present two sets of gauge field configurations that satisfy the Euclidean equations of motion. These configurations generate four-dimensional chromo-field flux sheets whose spatial cross sections are three-dimensional chromo-field flux tubes. In lattice simulations, they may be detected as center vortices. The first set of gauge field configurations generates chromo-electric flux tubes that should contribute to a chromo-electric flux tube between two static color charges. The string tension for two static color charges in representation r then naturally satisfies the Casimir scaling. Applying a gauge transformation to this set of gauge field configurations, we can transform them into those in the maximal Abelian gauge. These transformed configurations generate chromo-electric flux tubes that should contribute to those observed between two static quarks in lattice simulations performed in the maximal Abelian gauge. The second set of gauge field configurations generates chromo-magnetic flux tubes. When rotated in a plane that includes the temporal-axis and is perpendicular to the flux tube axis, the rotated gauge field configuration generates a chromo-electric flux tube and should contribute to the chromo-electric flux tubes observed in lattice simulations in the Landau gauge. We also argue that when regulated on a lattice, any of the flux sheet gauge field configuration with a finite flux sheet thickness is located on the Gribov horizon in the infinite lattice volume limit. We thus suggest that these sets of gauge field configurations contribute significantly to the low energy properties of QCD, particularly the quark confinement. |
hep-th/0102149 | Gregory J. Galloway | Mingliang Cai and Gregory J. Galloway | On the topology and area of higher dimensional black holes | 15 pages, Latex2e; typos corrected, a convention clarified, resulting
in the simplification of certain formulas, other improvements | Class.Quant.Grav. 18 (2001) 2707-2718 | 10.1088/0264-9381/18/14/308 | null | hep-th gr-qc | null | Over the past decade there has been an increasing interest in the study of
black holes, and related objects, in higher (and lower) dimensions, motivated
to a large extent by developments in string theory. The aim of the present
paper is to obtain higher dimensional analogues of some well known results for
black holes in 3+1 dimensions. More precisely, we obtain extensions to higher
dimensions of Hawking's black hole topology theorem for asymptotically flat
($\Lambda=0$) black hole spacetimes, and Gibbons' and Woolgar's genus
dependent, lower entropy bound for topological black holes in asymptotically
locally anti-de Sitter ($\Lambda<0$) spacetimes. In higher dimensions the genus
is replaced by the so-called $\sigma$-constant, or Yamabe invariant, which is a
fundamental topological invariant of smooth compact manifolds.
| [
{
"created": "Wed, 21 Feb 2001 23:28:15 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Feb 2001 20:24:33 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Cai",
"Mingliang",
""
],
[
"Galloway",
"Gregory J.",
""
]
] | Over the past decade there has been an increasing interest in the study of black holes, and related objects, in higher (and lower) dimensions, motivated to a large extent by developments in string theory. The aim of the present paper is to obtain higher dimensional analogues of some well known results for black holes in 3+1 dimensions. More precisely, we obtain extensions to higher dimensions of Hawking's black hole topology theorem for asymptotically flat ($\Lambda=0$) black hole spacetimes, and Gibbons' and Woolgar's genus dependent, lower entropy bound for topological black holes in asymptotically locally anti-de Sitter ($\Lambda<0$) spacetimes. In higher dimensions the genus is replaced by the so-called $\sigma$-constant, or Yamabe invariant, which is a fundamental topological invariant of smooth compact manifolds. |
2006.13255 | Daniel Jim\'enez-Aguilar | Jose J. Blanco-Pillado, Daniel Jim\'enez-Aguilar and Jon Urrestilla | Exciting the Domain Wall Soliton | 49 pages, 17 figures; typos corrected | JCAP01(2021)027 | 10.1088/1475-7516/2021/01/027 | null | hep-th astro-ph.CO gr-qc hep-ph | http://creativecommons.org/licenses/by/4.0/ | Many solitonic configurations in field theory have localized bound states in
their spectrum of linear perturbations. This opens up the possibility of having
long lived excitations of these solitons that could affect their dynamics. We
start the study of these effects in the simplest configuration of a domain wall
kink solution in the $\lambda \phi^4$ theory in $1+1$ dimensions. We show that
this solution has a single bound state and numerically study its slow decay
rate in flat space. We then investigate the amplitude of this excitation by
simulating a cosmological phase transition that leads to the formation of these
kinks in an expanding universe. We find that kinks get formed with a $20\%$
excess of energy with respect to their lowest energy configuration. We also
explore the kink solution interacting with a thermal bath and extract the
amplitude of the localized excitation as a function of temperature. We note
that this amplitude increases with temperature but again the extra energy in
the kink never goes over the $20\%$ level. Finally, we argue that this extra
energy may have important consequences in the subsequent evolution of defects
in numerical simulations.
| [
{
"created": "Tue, 23 Jun 2020 18:22:40 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Jan 2021 14:17:55 GMT",
"version": "v2"
}
] | 2021-01-22 | [
[
"Blanco-Pillado",
"Jose J.",
""
],
[
"Jiménez-Aguilar",
"Daniel",
""
],
[
"Urrestilla",
"Jon",
""
]
] | Many solitonic configurations in field theory have localized bound states in their spectrum of linear perturbations. This opens up the possibility of having long lived excitations of these solitons that could affect their dynamics. We start the study of these effects in the simplest configuration of a domain wall kink solution in the $\lambda \phi^4$ theory in $1+1$ dimensions. We show that this solution has a single bound state and numerically study its slow decay rate in flat space. We then investigate the amplitude of this excitation by simulating a cosmological phase transition that leads to the formation of these kinks in an expanding universe. We find that kinks get formed with a $20\%$ excess of energy with respect to their lowest energy configuration. We also explore the kink solution interacting with a thermal bath and extract the amplitude of the localized excitation as a function of temperature. We note that this amplitude increases with temperature but again the extra energy in the kink never goes over the $20\%$ level. Finally, we argue that this extra energy may have important consequences in the subsequent evolution of defects in numerical simulations. |
hep-th/0305119 | Tanwi Ghosh | Tanwi Ghosh | Thermodynamics Of A Class Of Kerr-Bolt-Ads Spacetime | Latex, 13 pages, 6 figures | null | null | null | hep-th | null | Using a boundary prescription motivated by the Ads-Cft conjecture, I study
the thermodynamical properties of the class of Kerr-Bolt-Ads spacetime.The
stability conditions and the complete phase diagrams are investigated.
| [
{
"created": "Wed, 14 May 2003 05:12:03 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Ghosh",
"Tanwi",
""
]
] | Using a boundary prescription motivated by the Ads-Cft conjecture, I study the thermodynamical properties of the class of Kerr-Bolt-Ads spacetime.The stability conditions and the complete phase diagrams are investigated. |
1711.05967 | Joseph Ben Geloun | Joseph Ben Geloun and Vincent Rivasseau | A Renormalizable SYK-type Tensor Field Theory | 24 pages, 2 figures | null | 10.1007/s00023-018-0712-4 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we introduce a simple field theoretic version of the
Carrozza-Tanasa-Klebanov-Tarnopolsky (CTKT) "uncolored" holographic tensor
model. It gives a more familiar interpretation to the previously abstract modes
of the SYK or CTKT models in terms of momenta. We choose for the tensor
propagator the usual Fermionic propagator of condensed matter, with a spherical
Fermi surface, but keep the CTKT interactions. Hence our field theory can also
be considered as an ordinary condensed matter model with a non-local and
non-rotational invariant interaction. Using a multiscale analysis we prove that
this field theory is just renormalizable to all orders of perturbation theory
in the ultraviolet regime.
| [
{
"created": "Thu, 16 Nov 2017 07:30:30 GMT",
"version": "v1"
}
] | 2018-11-14 | [
[
"Geloun",
"Joseph Ben",
""
],
[
"Rivasseau",
"Vincent",
""
]
] | In this paper we introduce a simple field theoretic version of the Carrozza-Tanasa-Klebanov-Tarnopolsky (CTKT) "uncolored" holographic tensor model. It gives a more familiar interpretation to the previously abstract modes of the SYK or CTKT models in terms of momenta. We choose for the tensor propagator the usual Fermionic propagator of condensed matter, with a spherical Fermi surface, but keep the CTKT interactions. Hence our field theory can also be considered as an ordinary condensed matter model with a non-local and non-rotational invariant interaction. Using a multiscale analysis we prove that this field theory is just renormalizable to all orders of perturbation theory in the ultraviolet regime. |
2309.04033 | Blaise Gout\'eraux | Blaise Gout\'eraux and Ashish Shukla | Beyond Drude transport in hydrodynamic metals | v1: 28 pages; v2: 29 pages, several clarifications and presentation
improvements + additional references; v3: version accepted in PRB,
clarifications on the boost-invariant limits and minor improvements | Physical Review B 109, 165153 (2024) | 10.1103/PhysRevB.109.165153 | CPHT-RR052.072023 | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In interacting theories, hydrodynamics describes the universal behavior of
states close to local thermal equilibrium at late times and long distances in a
gradient expansion. In the hydrodynamic regime of metals, momentum relaxes
slowly with a rate $\Gamma$, which formally appears on the right-hand side of
the momentum dynamical equation and causes a Drude-like peak in the frequency
dependence of the thermoelectric conductivities. Here we study the structure
and determine the physical implications of momentum-relaxing gradient
corrections beyond Drude, \emph{i.e.} arising at subleading order in the
gradient expansion. We find that they effectively renormalize the weight of the
Drude pole in the thermoelectric conductivities, and contribute to the dc
conductivities at the same order as previously-known gradient corrections of
translation-invariant hydrodynamics. Turning on a magnetic field, extra
derivative corrections appear and renormalize the cyclotron frequency and the
Hall conductivity. This relaxed hydrodynamics provides a field-theoretic
explanation for previous results obtained using gauge-gravity duality. In
strongly-coupled metals where quasiparticles are short-lived and which may be
close to a hydrodynamic regime, the extra contributions we discuss are
essential to interpret experimentally measured magneto-thermoelectric
conductivities. Specializing to metals close to a Fermi liquid phase, the
effective mass measured either through the specific heat or the spectral weight
of the Drude-like peak are found to differ, as was indeed reported in overdoped
cuprate superconductors. More generally, we expect such terms to be present in
any hydrodynamic theory with approximate symmetries, which arise in many
physical systems.
| [
{
"created": "Thu, 7 Sep 2023 22:00:04 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Nov 2023 17:24:09 GMT",
"version": "v2"
},
{
"created": "Tue, 16 Apr 2024 07:49:16 GMT",
"version": "v3"
}
] | 2024-04-29 | [
[
"Goutéraux",
"Blaise",
""
],
[
"Shukla",
"Ashish",
""
]
] | In interacting theories, hydrodynamics describes the universal behavior of states close to local thermal equilibrium at late times and long distances in a gradient expansion. In the hydrodynamic regime of metals, momentum relaxes slowly with a rate $\Gamma$, which formally appears on the right-hand side of the momentum dynamical equation and causes a Drude-like peak in the frequency dependence of the thermoelectric conductivities. Here we study the structure and determine the physical implications of momentum-relaxing gradient corrections beyond Drude, \emph{i.e.} arising at subleading order in the gradient expansion. We find that they effectively renormalize the weight of the Drude pole in the thermoelectric conductivities, and contribute to the dc conductivities at the same order as previously-known gradient corrections of translation-invariant hydrodynamics. Turning on a magnetic field, extra derivative corrections appear and renormalize the cyclotron frequency and the Hall conductivity. This relaxed hydrodynamics provides a field-theoretic explanation for previous results obtained using gauge-gravity duality. In strongly-coupled metals where quasiparticles are short-lived and which may be close to a hydrodynamic regime, the extra contributions we discuss are essential to interpret experimentally measured magneto-thermoelectric conductivities. Specializing to metals close to a Fermi liquid phase, the effective mass measured either through the specific heat or the spectral weight of the Drude-like peak are found to differ, as was indeed reported in overdoped cuprate superconductors. More generally, we expect such terms to be present in any hydrodynamic theory with approximate symmetries, which arise in many physical systems. |
hep-th/9402091 | Krzysztof Gawedzki | Krzysztof Gawedzki | SU(2) WZW Theory at Higher Genera | 44 pages, IHES/P/94/10, Latex file | Commun.Math.Phys. 169 (1995) 329-372 | 10.1007/BF02099476 | null | hep-th | null | We compute, by free field techniques, the scalar product of the SU(2)
Chern-Simons states on genus > 1 surfaces. The result is a finite-dimensional
integral over positions of ``screening charges'' and one complex modular
parameter. It uses an effective description of the CS states closely related to
the one worked out by Bertram. The scalar product formula allows to express the
higher genus partition functions of the WZW conformal field theory by
finite-dimensional integrals. It should provide the hermitian metric preserved
by the Knizhnik-Zamolodchikov-Bernard connection describing the variations of
the CS states under the change of the complex structure of the surface.
| [
{
"created": "Wed, 16 Feb 1994 09:21:55 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Gawedzki",
"Krzysztof",
""
]
] | We compute, by free field techniques, the scalar product of the SU(2) Chern-Simons states on genus > 1 surfaces. The result is a finite-dimensional integral over positions of ``screening charges'' and one complex modular parameter. It uses an effective description of the CS states closely related to the one worked out by Bertram. The scalar product formula allows to express the higher genus partition functions of the WZW conformal field theory by finite-dimensional integrals. It should provide the hermitian metric preserved by the Knizhnik-Zamolodchikov-Bernard connection describing the variations of the CS states under the change of the complex structure of the surface. |
hep-th/0303173 | David A. Lowe | David A. Lowe, Horatiu Nastase and Sanjaye Ramgoolam | Massive IIA String Theory and Matrix Theory Compactification | 38 pages, latex, references added, some typos fixed | Nucl.Phys. B667 (2003) 55-89 | 10.1016/S0550-3213(03)00547-9 | BROWN-HET-1340 | hep-th | null | We propose a Matrix Theory approach to Romans' massive Type IIA supergravity.
It is obtained by applying the procedure of Matrix Theory compactifications to
Hull's proposal of the Massive Type IIA String Theory as M-Theory on a twisted
torus. The resulting Matrix Theory is a super-Yang Mills theory on large N
three-branes with a space dependent non-commutativity parameter, which is also
independently derived by a T-duality approach. We give evidence showing that
the energies of a class of physical excitations of the super-Yang Mills theory
show the correct symmetry expected from Massive Type IIA string theory in a
lightcone quantization.
| [
{
"created": "Thu, 20 Mar 2003 00:58:33 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Apr 2003 18:33:42 GMT",
"version": "v2"
},
{
"created": "Sat, 21 Jun 2003 20:09:37 GMT",
"version": "v3"
}
] | 2010-04-05 | [
[
"Lowe",
"David A.",
""
],
[
"Nastase",
"Horatiu",
""
],
[
"Ramgoolam",
"Sanjaye",
""
]
] | We propose a Matrix Theory approach to Romans' massive Type IIA supergravity. It is obtained by applying the procedure of Matrix Theory compactifications to Hull's proposal of the Massive Type IIA String Theory as M-Theory on a twisted torus. The resulting Matrix Theory is a super-Yang Mills theory on large N three-branes with a space dependent non-commutativity parameter, which is also independently derived by a T-duality approach. We give evidence showing that the energies of a class of physical excitations of the super-Yang Mills theory show the correct symmetry expected from Massive Type IIA string theory in a lightcone quantization. |
hep-th/0108197 | Marco Antonio Dos Santos | M.A. De Andrade, M.A. Santos and I.V. Vancea | Local Physical Coodinates from Symplectic Projector Method | 8 pages | Mod.Phys.Lett. A16 (2001) 1907-1917 | 10.1142/S0217732301005138 | null | hep-th | null | The basic arguments underlying the symplectic projector method are presented.
By this method, local free coordinates on the constrait surface can be obtained
for a broader class of constrained systems. Some interesting examples are
analyzed.
| [
{
"created": "Mon, 27 Aug 2001 15:02:08 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"De Andrade",
"M. A.",
""
],
[
"Santos",
"M. A.",
""
],
[
"Vancea",
"I. V.",
""
]
] | The basic arguments underlying the symplectic projector method are presented. By this method, local free coordinates on the constrait surface can be obtained for a broader class of constrained systems. Some interesting examples are analyzed. |
1203.5238 | Christopher Burton | Christopher D. Burton | The small-scale structure of quantum spacetime | 16 pages | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Planck-scale quantum spacetime undergoes probabilistic local curvature
fluctuations whose distributions cannot explicitly depend on position otherwise
vacuum's small-scale quantum structure would fail to be statistically
homogeneous. Since the collection of fluctuations is a many-body system, the
natural explanation for their position-independent statistics is that they are
in equilibrium with each other and distributed at maximum entropy.
Consequently, their probability distributions obey the laws of statistical
physics which enforces small-scale smoothness, prevents the
homogeneity-violating diffusion found in any free quantum system, and maintains
decoherence. Their entropy, calculated using the explicitly-constructed phase
space of the Riemann whose statistics are derived using a
background-independent graviton exchange ensemble, is proportional to the
Einstein-Hilbert action evaluated on the macroscopic expected geometry and
includes a small, positive cosmological constant. Entropy maximization yields
quantum spacetime's Ehrenfest equations of motion which are identical to
Einstein's expectation-valued field equations. This background-independent
dynamical formulation reveals curvature fluctuation entropy as a source of
expansion and raises the possibility that matter's zero-point energy problem,
which is action-based and not energy shift invariant, may not be a problem
after all.
| [
{
"created": "Fri, 23 Mar 2012 13:54:27 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Mar 2012 22:54:01 GMT",
"version": "v2"
}
] | 2012-03-28 | [
[
"Burton",
"Christopher D.",
""
]
] | Planck-scale quantum spacetime undergoes probabilistic local curvature fluctuations whose distributions cannot explicitly depend on position otherwise vacuum's small-scale quantum structure would fail to be statistically homogeneous. Since the collection of fluctuations is a many-body system, the natural explanation for their position-independent statistics is that they are in equilibrium with each other and distributed at maximum entropy. Consequently, their probability distributions obey the laws of statistical physics which enforces small-scale smoothness, prevents the homogeneity-violating diffusion found in any free quantum system, and maintains decoherence. Their entropy, calculated using the explicitly-constructed phase space of the Riemann whose statistics are derived using a background-independent graviton exchange ensemble, is proportional to the Einstein-Hilbert action evaluated on the macroscopic expected geometry and includes a small, positive cosmological constant. Entropy maximization yields quantum spacetime's Ehrenfest equations of motion which are identical to Einstein's expectation-valued field equations. This background-independent dynamical formulation reveals curvature fluctuation entropy as a source of expansion and raises the possibility that matter's zero-point energy problem, which is action-based and not energy shift invariant, may not be a problem after all. |
hep-th/9303157 | Laurent Houart | Laurent Houart | Explicit Resolution of an Integrable c(4,3) Open String Theory | 10 pages, phyzzx, ULB-TH-02/93 | Phys.Lett.B311:71-75,1993 | 10.1016/0370-2693(93)90535-P | null | hep-th | null | We study the two-matrix model which represents the sum over closed and open
random surfaces coupled to an Ising Model. The boundary conditions are
characterized by the fact that the Ising spins sitting at the vertices of the
boundaries are all in the same state. We obtain the string equation and discuss
the results. (No change in physics, only some misprints are corrected)
| [
{
"created": "Mon, 29 Mar 1993 14:26:51 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Jun 1993 15:54:52 GMT",
"version": "v2"
}
] | 2010-11-01 | [
[
"Houart",
"Laurent",
""
]
] | We study the two-matrix model which represents the sum over closed and open random surfaces coupled to an Ising Model. The boundary conditions are characterized by the fact that the Ising spins sitting at the vertices of the boundaries are all in the same state. We obtain the string equation and discuss the results. (No change in physics, only some misprints are corrected) |
2405.12005 | Siwei Zhong | Zohar Komargodski, Siwei Zhong | The Baryon Junction and String Interactions | reference added and typo corrected in v2 | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study junctions between confining strings. We show that the effective
theory of such junctions is very predictive with only one new parameter, the
junction's mass, controlling the first couple of terms in the expansion in the
system size. By open-closed duality these considerations about the baryon
junction map to interaction vertices of closed strings. Therefore, we calculate
the interaction vertices of closed strings in theories such as Yang-Mills
theory. We find some surprising selection rules for string interactions in 3+1
dimensions. Requiring perturbative stability and that the string coupling is
weak, we suggest constraints on the junction's mass.
| [
{
"created": "Mon, 20 May 2024 13:23:17 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Jul 2024 09:26:39 GMT",
"version": "v2"
}
] | 2024-07-08 | [
[
"Komargodski",
"Zohar",
""
],
[
"Zhong",
"Siwei",
""
]
] | We study junctions between confining strings. We show that the effective theory of such junctions is very predictive with only one new parameter, the junction's mass, controlling the first couple of terms in the expansion in the system size. By open-closed duality these considerations about the baryon junction map to interaction vertices of closed strings. Therefore, we calculate the interaction vertices of closed strings in theories such as Yang-Mills theory. We find some surprising selection rules for string interactions in 3+1 dimensions. Requiring perturbative stability and that the string coupling is weak, we suggest constraints on the junction's mass. |
hep-th/0505191 | Constantinescu | Florin Constantinescu | Supersymmetric Canonical Commutation Relations | 14 pages | Int.J.Mod.Phys. A21 (2006) 2937-2952 | 10.1142/S0217751X06032514 | null | hep-th | null | We present unitarily represented supersymmetric canonical commutation
relations which are subsequently used to canonically quantize massive and
massless chiral,antichiral and vector fields. The massless fields, especially
the vector one, show new facets which do not appear in the non superymmetric
case. Our tool is the supersymmetric positivity induced by the Hilbert-Krein
structure of the superspace.
| [
{
"created": "Sun, 22 May 2005 08:31:19 GMT",
"version": "v1"
},
{
"created": "Sun, 14 Aug 2005 15:22:04 GMT",
"version": "v2"
},
{
"created": "Wed, 28 Dec 2005 08:48:00 GMT",
"version": "v3"
}
] | 2009-11-11 | [
[
"Constantinescu",
"Florin",
""
]
] | We present unitarily represented supersymmetric canonical commutation relations which are subsequently used to canonically quantize massive and massless chiral,antichiral and vector fields. The massless fields, especially the vector one, show new facets which do not appear in the non superymmetric case. Our tool is the supersymmetric positivity induced by the Hilbert-Krein structure of the superspace. |
0903.3548 | Hristu Culetu | Hristu Culetu | On the near horizon approximation for the Schwarzschild black hole | 5 pages, no figures, minor changes, reference added | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An anisotropic fluid with a negative radial pressure $p = - \rho$ is supposed
to exist near the horizon of a Schwarzschild black hole. The constant energy
density $\rho$ depends only on the black hole mass. The radial acceleration of
the static observers is constant but its modulus has exactly the Rindler form,
as was recently suggested by Dahia and Felix da Silva.
The structure of the stress tensor is similar with that obtained previously
for the interior region of a black hole, excepting the time dependence.
| [
{
"created": "Fri, 20 Mar 2009 15:34:39 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Jul 2009 16:01:27 GMT",
"version": "v2"
},
{
"created": "Sat, 1 May 2010 10:23:30 GMT",
"version": "v3"
}
] | 2010-05-04 | [
[
"Culetu",
"Hristu",
""
]
] | An anisotropic fluid with a negative radial pressure $p = - \rho$ is supposed to exist near the horizon of a Schwarzschild black hole. The constant energy density $\rho$ depends only on the black hole mass. The radial acceleration of the static observers is constant but its modulus has exactly the Rindler form, as was recently suggested by Dahia and Felix da Silva. The structure of the stress tensor is similar with that obtained previously for the interior region of a black hole, excepting the time dependence. |
hep-th/9606153 | Barton Zwiebach | Barton Zwiebach | Building string field theory around non-conformal backgrounds | 38 pages, 4 figures, phyzzx and BoxedEPS included | Nucl.Phys. B480 (1996) 541-572 | 10.1016/S0550-3213(96)00502-0 | MIT-CTP-2531 | hep-th | null | The main limitations of string field theory arise because its present
formulation requires a background representing a classical solution, a
background defined by a strictly conformally invariant theory. Here we sketch a
construction for a gauge-invariant string field action around non-conformal
backgrounds. The construction makes no reference to any conformal theory. Its
two-dimensional field-theoretic aspect is based on a generalized BRST operator
satisfying a set of Weyl descent equations. Its geometric aspect uses a complex
of moduli spaces of two-dimensional Riemannian manifolds having ordinary
punctures, and organized by the number of special punctures which goes from
zero to infinity. In this complex there is a Batalin-Vilkovisky algebra that
includes naturally the operator which adds one special puncture. We obtain a
classical field equation that appears to relax the condition of conformal
invariance usually taken to define classical string backgrounds.
| [
{
"created": "Mon, 24 Jun 1996 20:11:35 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Zwiebach",
"Barton",
""
]
] | The main limitations of string field theory arise because its present formulation requires a background representing a classical solution, a background defined by a strictly conformally invariant theory. Here we sketch a construction for a gauge-invariant string field action around non-conformal backgrounds. The construction makes no reference to any conformal theory. Its two-dimensional field-theoretic aspect is based on a generalized BRST operator satisfying a set of Weyl descent equations. Its geometric aspect uses a complex of moduli spaces of two-dimensional Riemannian manifolds having ordinary punctures, and organized by the number of special punctures which goes from zero to infinity. In this complex there is a Batalin-Vilkovisky algebra that includes naturally the operator which adds one special puncture. We obtain a classical field equation that appears to relax the condition of conformal invariance usually taken to define classical string backgrounds. |
hep-th/0311218 | Nuno Dias | Nuno Costa Dias, Joao Nuno Prata | Time dependent transformations in deformation quantization | 16 pages, to appear in the J. Math. Phys | J.Math.Phys.45:887-901,2004 | 10.1063/1.1641152 | null | hep-th | null | We study the action of time dependent canonical and coordinate
transformations in phase space quantum mechanics. We extend the covariant
formulation of the theory by providing a formalism that is fully invariant
under both standard and time dependent coordinate transformations. This result
considerably enlarges the set of possible phase space representations of
quantum mechanics and makes it possible to construct a causal representation
for the distributional sector of Wigner quantum mechanics.
| [
{
"created": "Sun, 23 Nov 2003 02:30:31 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Dias",
"Nuno Costa",
""
],
[
"Prata",
"Joao Nuno",
""
]
] | We study the action of time dependent canonical and coordinate transformations in phase space quantum mechanics. We extend the covariant formulation of the theory by providing a formalism that is fully invariant under both standard and time dependent coordinate transformations. This result considerably enlarges the set of possible phase space representations of quantum mechanics and makes it possible to construct a causal representation for the distributional sector of Wigner quantum mechanics. |
hep-th/9110065 | Jim Horne | James H. Horne, Gary T. Horowitz, and Alan R. Steif | An Equivalence Between Momentum and Charge in String Theory | 10 pages | Phys.Rev.Lett. 68 (1992) 568-571 | 10.1103/PhysRevLett.68.568 | null | hep-th | null | It is shown that for a translationally invariant solution to string theory,
spacetime duality interchanges the momentum in the symmetry direction and the
axion charge per unit length. As one application, we show explicitly that
charged black strings are equivalent to boosted (uncharged) black strings. The
extremal black strings (which correspond to the field outside of a fundamental
macroscopic string) are equivalent to plane fronted waves describing strings
moving at the speed of light.
| [
{
"created": "Wed, 23 Oct 1991 18:55:21 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Horne",
"James H.",
""
],
[
"Horowitz",
"Gary T.",
""
],
[
"Steif",
"Alan R.",
""
]
] | It is shown that for a translationally invariant solution to string theory, spacetime duality interchanges the momentum in the symmetry direction and the axion charge per unit length. As one application, we show explicitly that charged black strings are equivalent to boosted (uncharged) black strings. The extremal black strings (which correspond to the field outside of a fundamental macroscopic string) are equivalent to plane fronted waves describing strings moving at the speed of light. |
1808.00716 | Jirui Guo | Jirui Guo | Quantum Sheaf Cohomology and Duality of Flag Manifolds | 34 pages, LaTeX; v2:corrected typos and updated reference | Communications in Mathematical Physics, 374, 661-688(2020) | 10.1007/s00220-019-03462-z | null | hep-th math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the quantum sheaf cohomology of flag manifolds with deformations of
the tangent bundle and use the ring structure to derive how the deformation
transforms under the biholomorphic duality of flag manifolds. Realized as the
OPE ring of A/2-twisted two-dimensional theories with (0,2) supersymmetry,
quantum sheaf cohomology generalizes the notion of quantum cohomology. Complete
descriptions of quantum sheaf cohomology have been obtained for abelian gauged
linear sigma models (GLSMs) and for nonabelian GLSMs describing Grassmannians.
In this paper we continue to explore the quantum sheaf cohomology of nonabelian
theories. We first propose a method to compute the generating relations for
(0,2) GLSMs with (2,2) locus. We apply this method to derive the quantum sheaf
cohomology of products of Grassmannians and flag manifolds. The dual
deformation associated with the biholomorphic duality gives rise to an explicit
IR duality of two A/2-twisted (0,2) gauge theories.
| [
{
"created": "Thu, 2 Aug 2018 09:06:21 GMT",
"version": "v1"
},
{
"created": "Fri, 17 May 2019 09:02:14 GMT",
"version": "v2"
}
] | 2020-03-09 | [
[
"Guo",
"Jirui",
""
]
] | We study the quantum sheaf cohomology of flag manifolds with deformations of the tangent bundle and use the ring structure to derive how the deformation transforms under the biholomorphic duality of flag manifolds. Realized as the OPE ring of A/2-twisted two-dimensional theories with (0,2) supersymmetry, quantum sheaf cohomology generalizes the notion of quantum cohomology. Complete descriptions of quantum sheaf cohomology have been obtained for abelian gauged linear sigma models (GLSMs) and for nonabelian GLSMs describing Grassmannians. In this paper we continue to explore the quantum sheaf cohomology of nonabelian theories. We first propose a method to compute the generating relations for (0,2) GLSMs with (2,2) locus. We apply this method to derive the quantum sheaf cohomology of products of Grassmannians and flag manifolds. The dual deformation associated with the biholomorphic duality gives rise to an explicit IR duality of two A/2-twisted (0,2) gauge theories. |
1303.4390 | Shamit Kachru | Ning Bao, Sarah Harrison, Shamit Kachru and Subir Sachdev | Vortex Lattices and Crystalline Geometries | 25 pages, 4 figures; v2, minor changes | null | 10.1103/PhysRevD.88.026002 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider $AdS_2 \times R^2$ solutions supported by a magnetic field, such
as those which arise in the near-horizon limit of magnetically charged $AdS_4$
Reissner-Nordstrom black branes. In the presence of an electrically charged
scalar field, such magnetic solutions can be unstable to spontaneous formation
of a vortex lattice. We solve the coupled partial differential equations which
govern the charged scalar, gauge field, and metric degrees of freedom to lowest
non-trivial order in an expansion around the critical point, and discuss the
corrections to the free energy and thermodynamic functions arising from the
formation of the lattice. We describe how such solutions can also be
interpreted, via S-duality, as characterizing infrared crystalline phases of
conformal field theories doped by a chemical potential, but in zero magnetic
field; the doped conformal field theories are dual to geometries that exhibit
dynamical scaling and hyperscaling violation.
| [
{
"created": "Mon, 18 Mar 2013 20:00:01 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Apr 2013 16:22:15 GMT",
"version": "v2"
}
] | 2013-08-09 | [
[
"Bao",
"Ning",
""
],
[
"Harrison",
"Sarah",
""
],
[
"Kachru",
"Shamit",
""
],
[
"Sachdev",
"Subir",
""
]
] | We consider $AdS_2 \times R^2$ solutions supported by a magnetic field, such as those which arise in the near-horizon limit of magnetically charged $AdS_4$ Reissner-Nordstrom black branes. In the presence of an electrically charged scalar field, such magnetic solutions can be unstable to spontaneous formation of a vortex lattice. We solve the coupled partial differential equations which govern the charged scalar, gauge field, and metric degrees of freedom to lowest non-trivial order in an expansion around the critical point, and discuss the corrections to the free energy and thermodynamic functions arising from the formation of the lattice. We describe how such solutions can also be interpreted, via S-duality, as characterizing infrared crystalline phases of conformal field theories doped by a chemical potential, but in zero magnetic field; the doped conformal field theories are dual to geometries that exhibit dynamical scaling and hyperscaling violation. |
2404.12049 | Shunta Takahashi | Naoki Ogawa, Shunta Takahashi, Takashi Tsuda and Takahiro Waki | Celestial CFT from $H_3^+$-WZW Model | 24 pages, 3 figures | null | null | YITP-24-40, RIMS-1982 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently, there has been a growing interest in celestial holography, which is
holography in asymptotically flat spacetimes. This holographic duality exhibits
numerous mysterious and fruitful features, particularly on the dual CFT side.
In this paper, we present the candidate of dual CFT for Minkowski spacetime
extracted from $SL(2,\mathbb{C})/SU(2)\cong H^+_3$ Wess-Zumino-Witten (WZW)
model, the simplest non-compact CFT. We demonstrate that it reproduces the
well-known principal series and correlation functions dual to the bulk
scattering amplitudes.
| [
{
"created": "Thu, 18 Apr 2024 10:02:41 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Apr 2024 11:52:51 GMT",
"version": "v2"
}
] | 2024-04-23 | [
[
"Ogawa",
"Naoki",
""
],
[
"Takahashi",
"Shunta",
""
],
[
"Tsuda",
"Takashi",
""
],
[
"Waki",
"Takahiro",
""
]
] | Recently, there has been a growing interest in celestial holography, which is holography in asymptotically flat spacetimes. This holographic duality exhibits numerous mysterious and fruitful features, particularly on the dual CFT side. In this paper, we present the candidate of dual CFT for Minkowski spacetime extracted from $SL(2,\mathbb{C})/SU(2)\cong H^+_3$ Wess-Zumino-Witten (WZW) model, the simplest non-compact CFT. We demonstrate that it reproduces the well-known principal series and correlation functions dual to the bulk scattering amplitudes. |
1211.1707 | Sean Downes | Sean Downes and Bhaskar Dutta | Inflection Points and the Power Spectrum | 26 pages, 14 figures | Phys. Rev. D 87, 083518 (2013) | 10.1103/PhysRevD.87.083518 | null | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Inflection point inflation generically includes a deviation from slow-roll
when the inflaton approaches the inflection point. Such deviations are shown to
be generated by transitions between singular trajectories. The effects on the
power spectrum are studied within the context of universality classes for
small-field models. These effects are shown to scale with universality
parameters, and can explain the anomalously low power at large scales observed
in the CMB. The reduction of power is related to the inflection point's basin
of attraction. Implications for the likelihood of inflation are discussed.
| [
{
"created": "Wed, 7 Nov 2012 22:09:22 GMT",
"version": "v1"
}
] | 2013-07-22 | [
[
"Downes",
"Sean",
""
],
[
"Dutta",
"Bhaskar",
""
]
] | Inflection point inflation generically includes a deviation from slow-roll when the inflaton approaches the inflection point. Such deviations are shown to be generated by transitions between singular trajectories. The effects on the power spectrum are studied within the context of universality classes for small-field models. These effects are shown to scale with universality parameters, and can explain the anomalously low power at large scales observed in the CMB. The reduction of power is related to the inflection point's basin of attraction. Implications for the likelihood of inflation are discussed. |
hep-th/0612048 | Thomas Krajewski | V. Gayral, J.-H. Jureit, T. Krajewski, R. Wulkenhaar | Quantum field theory on projective modules | 52 pages, uses feynmf | null | null | CPT-P67-2006 | hep-th math.OA | null | We propose a general formulation of perturbative quantum field theory on
(finitely generated) projective modules over noncommutative algebras. This is
the analogue of scalar field theories with non-trivial topology in the
noncommutative realm. We treat in detail the case of Heisenberg modules over
noncommutative tori and show how these models can be understood as large
rectangular pxq matrix models, in the limit p/q->theta, where theta is a
possibly irrational number. We find out that the modele is highly sensitive to
the number-theoretical aspect of theta and suffers from an UV/IR-mixing. We
give a way to cure the entanglement and prove one-loop renormalizability.
| [
{
"created": "Wed, 6 Dec 2006 14:42:38 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Gayral",
"V.",
""
],
[
"Jureit",
"J. -H.",
""
],
[
"Krajewski",
"T.",
""
],
[
"Wulkenhaar",
"R.",
""
]
] | We propose a general formulation of perturbative quantum field theory on (finitely generated) projective modules over noncommutative algebras. This is the analogue of scalar field theories with non-trivial topology in the noncommutative realm. We treat in detail the case of Heisenberg modules over noncommutative tori and show how these models can be understood as large rectangular pxq matrix models, in the limit p/q->theta, where theta is a possibly irrational number. We find out that the modele is highly sensitive to the number-theoretical aspect of theta and suffers from an UV/IR-mixing. We give a way to cure the entanglement and prove one-loop renormalizability. |
0811.1909 | Vyacheslav P. Spiridonov | V.P. Spiridonov and G.S. Vartanov | Superconformal indices for N=1 theories with multiple duals | 27 pages; essential revision; new N_f=6 dualities and 2 references
added, accepted in Nucl. Phys. B | Nucl.Phys.B824:192-216,2010 | 10.1016/j.nuclphysb.2009.08.022 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Following a recent work of Dolan and Osborn, we consider superconformal
indices of four dimensional ${\mathcal N}=1$ supersymmetric field theories
related by an electric-magnetic duality with the SP(2N) gauge group and fixed
rank flavour groups. For the SP(2) (or SU(2)) case with 8 flavours, the
electric theory has index described by an elliptic analogue of the Gauss
hypergeometric function constructed earlier by the first author. Using the
$E_7$-root system Weyl group transformations for this function, we build a
number of dual magnetic theories. One of them was originally discovered by
Seiberg, the second model was built by Intriligator and Pouliot, the third one
was found by Cs\'aki et al. We argue that there should be in total 72 theories
dual to each other through the action of the coset group $W(E_7)/S_8$. For the
general $SP(2N), N>1,$ gauge group, a similar multiple duality takes place for
slightly more complicated flavour symmetry groups. Superconformal indices of
the corresponding theories coincide due to the Rains identity for a
multidimensional elliptic hypergeometric integral associated with the
$BC_N$-root system.
| [
{
"created": "Wed, 12 Nov 2008 14:39:31 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Nov 2008 22:17:26 GMT",
"version": "v2"
},
{
"created": "Mon, 16 Mar 2009 16:07:59 GMT",
"version": "v3"
},
{
"created": "Fri, 4 Sep 2009 10:14:24 GMT",
"version": "v4"
}
] | 2009-10-06 | [
[
"Spiridonov",
"V. P.",
""
],
[
"Vartanov",
"G. S.",
""
]
] | Following a recent work of Dolan and Osborn, we consider superconformal indices of four dimensional ${\mathcal N}=1$ supersymmetric field theories related by an electric-magnetic duality with the SP(2N) gauge group and fixed rank flavour groups. For the SP(2) (or SU(2)) case with 8 flavours, the electric theory has index described by an elliptic analogue of the Gauss hypergeometric function constructed earlier by the first author. Using the $E_7$-root system Weyl group transformations for this function, we build a number of dual magnetic theories. One of them was originally discovered by Seiberg, the second model was built by Intriligator and Pouliot, the third one was found by Cs\'aki et al. We argue that there should be in total 72 theories dual to each other through the action of the coset group $W(E_7)/S_8$. For the general $SP(2N), N>1,$ gauge group, a similar multiple duality takes place for slightly more complicated flavour symmetry groups. Superconformal indices of the corresponding theories coincide due to the Rains identity for a multidimensional elliptic hypergeometric integral associated with the $BC_N$-root system. |
hep-th/9803217 | Kanehisa Takasaki | Kanehisa Takasaki (Kyoto University) | Integrable Hierarchies and Contact Terms in u-plane Integrals of
Topologically Twisted Supersymmetric Gauge Theories | latex, 17 pages, no figures; final version for publication | Int.J.Mod.Phys. A14 (1999) 1001-1014 | 10.1142/S0217751X9900049X | KUCP-0115 | hep-th math.AG | null | The $u$-plane integrals of topologically twisted $N = 2$ supersymmetric gauge
theories generally contain contact terms of nonlocal topological observables.
This paper proposes an interpretation of these contact terms from the point of
view of integrable hierarchies and their Whitham deformations. This is inspired
by Mari\~no and Moore's remark that the blowup formula of the $u$-plane
integral contains a piece that can be interpreted as a single-time tau function
of an integrable hierarchy. This single-time tau function can be extended to a
multi-time version without spoiling the modular invariance of the blowup
formula. The multi-time tau function is comprised of a Gaussian factor
$e^{Q(t_1,t_2,...)}$ and a theta function. The time variables $t_n$ play the
role of physical coupling constants of 2-observables $I_n(B)$ carried by the
exceptional divisor $B$. The coefficients $q_{mn}$ of the Gaussian part are
identified to be the contact terms of these 2-observables. This identification
is further examined in the language of Whitham equations. All relevant
quantities are written in the form of derivatives of the prepotential.
| [
{
"created": "Thu, 26 Mar 1998 11:23:24 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Mar 1998 07:49:48 GMT",
"version": "v2"
},
{
"created": "Wed, 8 Apr 1998 06:19:46 GMT",
"version": "v3"
},
{
"created": "Tue, 19 May 1998 03:15:22 GMT",
"version": "v4"
},
{
"cr... | 2009-10-31 | [
[
"Takasaki",
"Kanehisa",
"",
"Kyoto University"
]
] | The $u$-plane integrals of topologically twisted $N = 2$ supersymmetric gauge theories generally contain contact terms of nonlocal topological observables. This paper proposes an interpretation of these contact terms from the point of view of integrable hierarchies and their Whitham deformations. This is inspired by Mari\~no and Moore's remark that the blowup formula of the $u$-plane integral contains a piece that can be interpreted as a single-time tau function of an integrable hierarchy. This single-time tau function can be extended to a multi-time version without spoiling the modular invariance of the blowup formula. The multi-time tau function is comprised of a Gaussian factor $e^{Q(t_1,t_2,...)}$ and a theta function. The time variables $t_n$ play the role of physical coupling constants of 2-observables $I_n(B)$ carried by the exceptional divisor $B$. The coefficients $q_{mn}$ of the Gaussian part are identified to be the contact terms of these 2-observables. This identification is further examined in the language of Whitham equations. All relevant quantities are written in the form of derivatives of the prepotential. |
2406.04017 | Daniel Del-Corral | Daniel del-Corral | Self-resonance after inflation: The case of $\alpha$-attractor models | 15 pages, 4 figures | null | null | null | hep-th gr-qc math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | This work aims to explain the amplification of curvature perturbations on
small scales arising from the phenomenon of self-resonance. By making a series
expansion of the inflationary potential and employing perturbative techniques
to solve for the inflaton field, we reformulate the Mukhanov-Sasaki equation
into a Hill equation. Then, we derive expressions for the Floquet exponents
corresponding to a potential having both cubic and quartic terms in its
expansion. Our analytical results are then compared with numerical
computations. Moreover, we propose potential applications including the
generation of Primordial Black Holes, Scalar-Induced Gravitational Waves, and
Oscillons.
| [
{
"created": "Thu, 6 Jun 2024 12:42:30 GMT",
"version": "v1"
}
] | 2024-06-07 | [
[
"del-Corral",
"Daniel",
""
]
] | This work aims to explain the amplification of curvature perturbations on small scales arising from the phenomenon of self-resonance. By making a series expansion of the inflationary potential and employing perturbative techniques to solve for the inflaton field, we reformulate the Mukhanov-Sasaki equation into a Hill equation. Then, we derive expressions for the Floquet exponents corresponding to a potential having both cubic and quartic terms in its expansion. Our analytical results are then compared with numerical computations. Moreover, we propose potential applications including the generation of Primordial Black Holes, Scalar-Induced Gravitational Waves, and Oscillons. |
hep-th/0002046 | Eric G. Novak | Shyamoli Chaudhuri, Eric G. Novak | Supersymmetric Pair Correlation Function of Wilson Loops | 18 pages, Revtex | Phys.Rev. D62 (2000) 046002 | 10.1103/PhysRevD.62.046002 | PSU-TH-225 | hep-th | null | We give a path integral derivation of the annulus diagram in a supersymmetric
theory of open and closed strings with Dbranes. We compute the pair correlation
function of Wilson loops in the generic weakly coupled supersymmetric flat
spacetime background with Dbranes. We obtain a -u^4/r^9 potential between heavy
nonrelativistic sources in a supersymmetric gauge theory at short distances.
| [
{
"created": "Sun, 6 Feb 2000 23:13:08 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Chaudhuri",
"Shyamoli",
""
],
[
"Novak",
"Eric G.",
""
]
] | We give a path integral derivation of the annulus diagram in a supersymmetric theory of open and closed strings with Dbranes. We compute the pair correlation function of Wilson loops in the generic weakly coupled supersymmetric flat spacetime background with Dbranes. We obtain a -u^4/r^9 potential between heavy nonrelativistic sources in a supersymmetric gauge theory at short distances. |
hep-th/9503016 | Dan Kabat | Daniel Kabat | Black Hole Entropy and Entropy of Entanglement | 22 pages, 2 figures, uses harvmac and epsf fixed three minor sign
errors, improved the writing in places | Nucl.Phys.B453:281-302,1995 | 10.1016/0550-3213(95)00443-V | RU-95-06 | hep-th gr-qc | null | We compare the one-loop corrections to the entropy of a black hole, from
quantum fields of spin zero, one-half, and one, to the entropy of entanglement
of the fields. For fields of spin zero and one-half the black hole entropy is
identical to the entropy of entanglement. For spin one the two entropies differ
by a contact interaction with the horizon which appears in the black hole
entropy but not in the entropy of entanglement. The contact interaction can be
expressed as a path integral over particle paths which begin and end on the
horizon; it is the field theory limit of the interaction proposed by Susskind
and Uglum which couples a closed string to an open string stranded on the
horizon.
| [
{
"created": "Fri, 3 Mar 1995 05:28:45 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Mar 1995 21:42:20 GMT",
"version": "v2"
},
{
"created": "Thu, 20 Jul 1995 19:38:56 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Kabat",
"Daniel",
""
]
] | We compare the one-loop corrections to the entropy of a black hole, from quantum fields of spin zero, one-half, and one, to the entropy of entanglement of the fields. For fields of spin zero and one-half the black hole entropy is identical to the entropy of entanglement. For spin one the two entropies differ by a contact interaction with the horizon which appears in the black hole entropy but not in the entropy of entanglement. The contact interaction can be expressed as a path integral over particle paths which begin and end on the horizon; it is the field theory limit of the interaction proposed by Susskind and Uglum which couples a closed string to an open string stranded on the horizon. |
0809.1720 | Chiang-Mei Chen | Chiang-Mei Chen, Dmitri V. Gal'tsov, Dmitry G. Orlov | Extremal dyonic black holes in D=4 Gauss-Bonnet gravity | 19 pages, 3 figures, revtex4 | Phys.Rev.D78:104013,2008 | 10.1103/PhysRevD.78.104013 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate extremal dyon black holes in the Einstein-Maxwell-dilaton
(EMD) theory with higher curvature corrections in the form of the Gauss-Bonnet
density coupled to the dilaton. In the same theory without the Gauss-Bonnet
term the extremal dyon solutions exist only for discrete values of the dilaton
coupling constant $a$. We show that the Gauss-Bonnet term acts as a dyon hair
tonic enlarging the allowed values of $a$ to continuous domains in the plane
$(a, q_m)$ the second parameter being the magnetic charge. In the limit of the
vanishing curvature coupling (a large magnetic charge) the dyon solutions
obtained tend to the Reissner-Nordstr\"om solution but not to the extremal
dyons of the EMD theory. Both solutions have the same values of the horizon
radius as a function of charges. The entropy of new dyonic black holes
interpolates between the Bekenstein-Hawking value in the limit of the large
magnetic charge (equivalent to the vanishing Gauss-Bonnet coupling) and twice
this value for the vanishing magnetic charge. Although an expression for the
entropy can be obtained analytically using purely local near-horizon solutions,
its interpretation as the black hole entropy is legitimate only once the global
black hole solution is known to exist, and we obtain numerically the
corresponding conditions on the parameters. Thus, a purely local analysis is
insufficient to fully understand the entropy of the curvature corrected black
holes. We also find dyon solutions which are not asymptotically flat, but
approach the linear dilaton background at infinity. They describe magnetic
black holes on the electric linear dilaton background.
| [
{
"created": "Wed, 10 Sep 2008 07:16:42 GMT",
"version": "v1"
}
] | 2008-12-18 | [
[
"Chen",
"Chiang-Mei",
""
],
[
"Gal'tsov",
"Dmitri V.",
""
],
[
"Orlov",
"Dmitry G.",
""
]
] | We investigate extremal dyon black holes in the Einstein-Maxwell-dilaton (EMD) theory with higher curvature corrections in the form of the Gauss-Bonnet density coupled to the dilaton. In the same theory without the Gauss-Bonnet term the extremal dyon solutions exist only for discrete values of the dilaton coupling constant $a$. We show that the Gauss-Bonnet term acts as a dyon hair tonic enlarging the allowed values of $a$ to continuous domains in the plane $(a, q_m)$ the second parameter being the magnetic charge. In the limit of the vanishing curvature coupling (a large magnetic charge) the dyon solutions obtained tend to the Reissner-Nordstr\"om solution but not to the extremal dyons of the EMD theory. Both solutions have the same values of the horizon radius as a function of charges. The entropy of new dyonic black holes interpolates between the Bekenstein-Hawking value in the limit of the large magnetic charge (equivalent to the vanishing Gauss-Bonnet coupling) and twice this value for the vanishing magnetic charge. Although an expression for the entropy can be obtained analytically using purely local near-horizon solutions, its interpretation as the black hole entropy is legitimate only once the global black hole solution is known to exist, and we obtain numerically the corresponding conditions on the parameters. Thus, a purely local analysis is insufficient to fully understand the entropy of the curvature corrected black holes. We also find dyon solutions which are not asymptotically flat, but approach the linear dilaton background at infinity. They describe magnetic black holes on the electric linear dilaton background. |
1910.10431 | Nobuyuki Sawado | Yuki Amari, Masaya Iida, and Nobuyuki Sawado | Statistical nature of Skyrme-Faddeev models in $2+1$ dimensions and
normalizable fermions | 18 pages, 14 figures | Theoretical and Mathematical Physics, 200(3): 1253-1268 (2019) | 10.1134/S0040577919090010 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Skyrme-Faddeev model has planar soliton solutions with target space
$\mathbb{C}P^N$. An Abelian Chern-Simons term (the Hopf term) in the Lagrangian
of the model plays a crucial role for the statistical properties of the
solutions. Because $\Pi_3(\mathbb{C}P^1)=\mathbb{Z}$, the term becomes an
integer for $N=1$. On the other hand, for $N>1$, it becomes perturbative
because $\Pi_3(\mathbb{C}P^N)$ is trivial. The prefactor $\Theta$ of the Hopf
term is not quantized, and its value depends on the physical system. We study
the spectral flow of the normalizable fermions coupled with the baby-Skyrme
model ($\mathbb{C}P^N$ Skyrme-Faddeev model). We discuss whether the
statistical nature of solitons can be explained using their constituents, i.e.,
the quarks.
| [
{
"created": "Wed, 23 Oct 2019 09:34:19 GMT",
"version": "v1"
}
] | 2019-10-24 | [
[
"Amari",
"Yuki",
""
],
[
"Iida",
"Masaya",
""
],
[
"Sawado",
"Nobuyuki",
""
]
] | The Skyrme-Faddeev model has planar soliton solutions with target space $\mathbb{C}P^N$. An Abelian Chern-Simons term (the Hopf term) in the Lagrangian of the model plays a crucial role for the statistical properties of the solutions. Because $\Pi_3(\mathbb{C}P^1)=\mathbb{Z}$, the term becomes an integer for $N=1$. On the other hand, for $N>1$, it becomes perturbative because $\Pi_3(\mathbb{C}P^N)$ is trivial. The prefactor $\Theta$ of the Hopf term is not quantized, and its value depends on the physical system. We study the spectral flow of the normalizable fermions coupled with the baby-Skyrme model ($\mathbb{C}P^N$ Skyrme-Faddeev model). We discuss whether the statistical nature of solitons can be explained using their constituents, i.e., the quarks. |
hep-th/0604154 | Daniel Blaschke | Daniel N. Blaschke, Francois Gieres, Olivier Piguet, Manfred Schweda | A Vector Supersymmetry in Noncommutative U(1) Gauge Theory with the
Slavnov Term | 18 pages, 3 figures; v2 Acknowledgments added | JHEP0605:059,2006 | 10.1088/1126-6708/2006/05/059 | LYCEN 2006-05 | hep-th | null | We consider noncommutative U(1) gauge theory with the additional term,
involving a scalar field lambda, introduced by Slavnov in order to cure the
infrared problem. we show that this theory, with an appropriate space-like
axial gauge-fixing, wxhibits a linear vector supersymmetry similar to the one
present in the 2-dimensional BF model. This vector supersymmetry implies that
all loop corrections are independent of the $\lambda AA$-vertex and thereby
explains why Slavnov found a finite model for the same gauge-fixing.
| [
{
"created": "Fri, 21 Apr 2006 17:06:11 GMT",
"version": "v1"
},
{
"created": "Fri, 12 May 2006 12:39:08 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Blaschke",
"Daniel N.",
""
],
[
"Gieres",
"Francois",
""
],
[
"Piguet",
"Olivier",
""
],
[
"Schweda",
"Manfred",
""
]
] | We consider noncommutative U(1) gauge theory with the additional term, involving a scalar field lambda, introduced by Slavnov in order to cure the infrared problem. we show that this theory, with an appropriate space-like axial gauge-fixing, wxhibits a linear vector supersymmetry similar to the one present in the 2-dimensional BF model. This vector supersymmetry implies that all loop corrections are independent of the $\lambda AA$-vertex and thereby explains why Slavnov found a finite model for the same gauge-fixing. |
1410.0985 | Mara Grahl | Mara Grahl | U(2)xU(2)-symmetric fixed point from the Functional Renormalization
Group | 9 pages | null | 10.1103/PhysRevD.90.117904 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The existence of an U(2)xU(2)-symmetric fixed point in the chiral linear
sigma model is confirmed using the Functional Renormalization Group (FRG). Its
stability properties and the implications for the order of the chiral phase
transition of two-flavor quantum chromodynamics (QCD) are discussed.
Furthermore, several technical conclusions are drawn from the comparison with
the results of resummed loop expansions.
| [
{
"created": "Fri, 3 Oct 2014 22:09:20 GMT",
"version": "v1"
}
] | 2015-06-23 | [
[
"Grahl",
"Mara",
""
]
] | The existence of an U(2)xU(2)-symmetric fixed point in the chiral linear sigma model is confirmed using the Functional Renormalization Group (FRG). Its stability properties and the implications for the order of the chiral phase transition of two-flavor quantum chromodynamics (QCD) are discussed. Furthermore, several technical conclusions are drawn from the comparison with the results of resummed loop expansions. |
hep-th/9312204 | Rim Chai Ho | Kyung-Hyun Cho and Chaiho Rim | Abelian Chern-Simons field theory and anyon equation on a torus | 24, SNUTP-93-96 | Phys.Rev. D50 (1994) 2870-2880 | 10.1103/PhysRevD.50.2870 | null | hep-th | null | We quantize the abelian Chern-Simons theory coupled to non-relativistic
matter field on a torus without invoking the flux quantization. Through a
series of canonical transformations which is equivalent to solving the Gauss
constraint, we obtain an effective hamiltonian density with periodic matter
field. We also obtain the many-anyon Schr\"odinger equation with periodic
Aharonov-Bohm potentials and analyze the periodic property of the wavefunction.
Some comments are given on the different features of our approach from the
previous ones.
| [
{
"created": "Wed, 29 Dec 1993 21:14:49 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Cho",
"Kyung-Hyun",
""
],
[
"Rim",
"Chaiho",
""
]
] | We quantize the abelian Chern-Simons theory coupled to non-relativistic matter field on a torus without invoking the flux quantization. Through a series of canonical transformations which is equivalent to solving the Gauss constraint, we obtain an effective hamiltonian density with periodic matter field. We also obtain the many-anyon Schr\"odinger equation with periodic Aharonov-Bohm potentials and analyze the periodic property of the wavefunction. Some comments are given on the different features of our approach from the previous ones. |
hep-th/0005210 | Leonardo Castellani | Leonardo Castellani | Noncommutative geometry and physics: a review of selected recent results | Based on lectures given at the TMR School on contemporary string
theory and brane physics, Jan 26- Feb 2, 2000, Torino, Italy. To be published
in Class. Quant. Grav. 17 (2000). 3 ref.s added, typos corrected, formula on
exterior product of n left-invariant one-forms corrected, small changes in
the Sect. on integration | Class.Quant.Grav. 17 (2000) 3377-3402 | 10.1088/0264-9381/17/17/301 | DFTT-20/2000 | hep-th | null | This review is based on two lectures given at the 2000 TMR school in Torino.
We discuss two main themes: i) Moyal-type deformations of gauge theories, as
emerging from M-theory and open string theories, and ii) the noncommutative
geometry of finite groups, with the explicit example of Z_2, and its
application to Kaluza-Klein gauge theories on discrete internal spaces.
| [
{
"created": "Tue, 23 May 2000 16:19:28 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Aug 2000 13:42:37 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Castellani",
"Leonardo",
""
]
] | This review is based on two lectures given at the 2000 TMR school in Torino. We discuss two main themes: i) Moyal-type deformations of gauge theories, as emerging from M-theory and open string theories, and ii) the noncommutative geometry of finite groups, with the explicit example of Z_2, and its application to Kaluza-Klein gauge theories on discrete internal spaces. |
hep-th/9611115 | Daniel Arnaudon | Raymond Stora | De la fixation de jauge consideree comme un des beaux arts et de la
symetrie de Slavnov qui s'ensuit | 6 pages, in French, LaTeX, also available at
http://lapphp0.in2p3.fr/preplapp/psth/ENSLAPP620.ps.gz | null | null | ENSLAPP-A-620/96 | hep-th | null | La fixation de jauge est d\'efinie comme l'op\'eration permettant d'exprimer
une int\'egrale sur un espace d'orbite comme int\'egrale sur le fibr\'e
principal correspondant. Quand la fibre est non compacte cette op\'eration met
en jeu une classe de cohomologie \`a support compact -ou \`a d\'ecroissance
rapide- de celle-ci. La sym\'etrie de Slavnov est l'expression alg\'ebrique de
l'ambiguit\'e de cette construction.
| [
{
"created": "Fri, 15 Nov 1996 14:58:27 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Stora",
"Raymond",
""
]
] | La fixation de jauge est d\'efinie comme l'op\'eration permettant d'exprimer une int\'egrale sur un espace d'orbite comme int\'egrale sur le fibr\'e principal correspondant. Quand la fibre est non compacte cette op\'eration met en jeu une classe de cohomologie \`a support compact -ou \`a d\'ecroissance rapide- de celle-ci. La sym\'etrie de Slavnov est l'expression alg\'ebrique de l'ambiguit\'e de cette construction. |
hep-th/9607171 | null | Paolo Pasti, Dmitrij Sorokin and Mario Tonin | Comment on covariant duality symmetric actions | LaTeX file, 3 pages | Phys.Rev. D56 (1997) 2473-2474 | 10.1103/PhysRevD.56.2473 | DFPD 96/TH/41 | hep-th | null | We demonstrate that an action proposed by A. Khoudeir and N. R. Pantoja in
{\sl Phys. Rev.} {\bf D53}, 5974 (1996) for endowing Maxwell theory with
manifest electric--magnetic duality symmetry contains, besides the Maxwell
field, additional propagating vector degrees of freedom. Hence it cannot be
considered as a duality symmetric action for a {\it single} abelian gauge
field.
| [
{
"created": "Mon, 22 Jul 1996 15:22:27 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Pasti",
"Paolo",
""
],
[
"Sorokin",
"Dmitrij",
""
],
[
"Tonin",
"Mario",
""
]
] | We demonstrate that an action proposed by A. Khoudeir and N. R. Pantoja in {\sl Phys. Rev.} {\bf D53}, 5974 (1996) for endowing Maxwell theory with manifest electric--magnetic duality symmetry contains, besides the Maxwell field, additional propagating vector degrees of freedom. Hence it cannot be considered as a duality symmetric action for a {\it single} abelian gauge field. |
2208.14402 | Jack Holden | Vaibhav Gautam, Masanori Hanada, Jack Holden, Enrico Rinaldi | Linear confinement in the partially-deconfined phase | A version accepted for publication in JHEP | null | 10.1007/JHEP03(2023)195 | DMUS-MP-22/14, RIKEN-iTHEMS-Report-22 | hep-th hep-lat hep-ph | http://creativecommons.org/licenses/by/4.0/ | We consider the partially-deconfined saddle of large-$N$ pure Yang-Mills
theory lying between confined and deconfined phases, in which the color degrees
of freedom split into confined and deconfined sectors. Based on the microscopic
mechanism of deconfinement, we argue that a flux tube is formed in the confined
sector and a linear confinement potential is generated. The string tension
should not depend on the size of the confined sector. We provide evidence by
studying the finite-temperature strong-coupling lattice gauge theory. In
particular, we make analytic predictions assuming linear confinement in the
confined sector, and then confirm these by numerical simulations. We discuss
some implications of the conjecture to QCD and holography.
| [
{
"created": "Tue, 30 Aug 2022 17:15:08 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Nov 2022 11:58:27 GMT",
"version": "v2"
},
{
"created": "Thu, 16 Mar 2023 18:00:00 GMT",
"version": "v3"
}
] | 2023-04-12 | [
[
"Gautam",
"Vaibhav",
""
],
[
"Hanada",
"Masanori",
""
],
[
"Holden",
"Jack",
""
],
[
"Rinaldi",
"Enrico",
""
]
] | We consider the partially-deconfined saddle of large-$N$ pure Yang-Mills theory lying between confined and deconfined phases, in which the color degrees of freedom split into confined and deconfined sectors. Based on the microscopic mechanism of deconfinement, we argue that a flux tube is formed in the confined sector and a linear confinement potential is generated. The string tension should not depend on the size of the confined sector. We provide evidence by studying the finite-temperature strong-coupling lattice gauge theory. In particular, we make analytic predictions assuming linear confinement in the confined sector, and then confirm these by numerical simulations. We discuss some implications of the conjecture to QCD and holography. |
1904.12392 | Ali Chamseddine | Ali H. Chamseddine and Walter D. van Suijlekom | A survey of spectral models of gravity coupled to matter | An appendix is added to include scalar potential analysis for a
Pati-Salam model. 58 Pages | null | 10.1007/978-3-030-29597-4_1 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This is a survey of the historical development of the Spectral Standard Model
and beyond, starting with the ground breaking paper of Alain Connes in 1988
where he observed that there is a link between Higgs fields and finite
noncommutative spaces. We present the important contributions that helped in
the search and identification of the noncommutative space that characterizes
the fine structure of space-time. The nature and properties of the
noncommutative space are arrived at by independent routes and show the
uniqueness of the Spectral Standard Model at low energies and the Pati-Salam
unification model at high energies.
| [
{
"created": "Sun, 28 Apr 2019 22:25:36 GMT",
"version": "v1"
},
{
"created": "Sun, 23 Jun 2019 16:40:11 GMT",
"version": "v2"
}
] | 2020-08-05 | [
[
"Chamseddine",
"Ali H.",
""
],
[
"van Suijlekom",
"Walter D.",
""
]
] | This is a survey of the historical development of the Spectral Standard Model and beyond, starting with the ground breaking paper of Alain Connes in 1988 where he observed that there is a link between Higgs fields and finite noncommutative spaces. We present the important contributions that helped in the search and identification of the noncommutative space that characterizes the fine structure of space-time. The nature and properties of the noncommutative space are arrived at by independent routes and show the uniqueness of the Spectral Standard Model at low energies and the Pati-Salam unification model at high energies. |
1405.7384 | Solomon Endlich | Luca V. Delacretaz, Solomon Endlich, Alexander Monin, Riccardo Penco
and Francesco Riva | (Re-)Inventing the Relativistic Wheel: Gravity, Cosets, and Spinning
Objects | 30 pages | JHEP 1411 (2014) 008 | 10.1007/JHEP11(2014)008 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Space-time symmetries are a crucial ingredient of any theoretical model in
physics. Unlike internal symmetries, which may or may not be gauged and/or
spontaneously broken, space-time symmetries do not admit any ambiguity: they
are gauged by gravity, and any conceivable physical system (other than the
vacuum) is bound to break at least some of them. Motivated by this observation,
we study how to couple gravity with the Goldstone fields that non-linearly
realize spontaneously broken space-time symmetries. This can be done in
complete generality by weakly gauging the Poincare symmetry group in the
context of the coset construction. To illustrate the power of this method, we
consider three kinds of physical systems coupled to gravity: superfluids,
relativistic membranes embedded in a higher dimensional space, and rotating
point-like objects. This last system is of particular importance as it can be
used to model spinning astrophysical objects like neutron stars and black
holes. Our approach provides a systematic and unambiguous parametrization of
the degrees of freedom of these systems.
| [
{
"created": "Wed, 28 May 2014 20:04:00 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Jul 2014 20:50:17 GMT",
"version": "v2"
},
{
"created": "Mon, 17 Nov 2014 13:36:41 GMT",
"version": "v3"
}
] | 2015-06-19 | [
[
"Delacretaz",
"Luca V.",
""
],
[
"Endlich",
"Solomon",
""
],
[
"Monin",
"Alexander",
""
],
[
"Penco",
"Riccardo",
""
],
[
"Riva",
"Francesco",
""
]
] | Space-time symmetries are a crucial ingredient of any theoretical model in physics. Unlike internal symmetries, which may or may not be gauged and/or spontaneously broken, space-time symmetries do not admit any ambiguity: they are gauged by gravity, and any conceivable physical system (other than the vacuum) is bound to break at least some of them. Motivated by this observation, we study how to couple gravity with the Goldstone fields that non-linearly realize spontaneously broken space-time symmetries. This can be done in complete generality by weakly gauging the Poincare symmetry group in the context of the coset construction. To illustrate the power of this method, we consider three kinds of physical systems coupled to gravity: superfluids, relativistic membranes embedded in a higher dimensional space, and rotating point-like objects. This last system is of particular importance as it can be used to model spinning astrophysical objects like neutron stars and black holes. Our approach provides a systematic and unambiguous parametrization of the degrees of freedom of these systems. |
2104.09735 | John Cardy | John Cardy | Cut Reggeon Field Theory as a Stochastic Process | 17 pages, 2 figures | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Reggeon field theory (RFT), originally developed in the context of high
energy diffraction scattering, has a much wider applicability, describing, for
example, the universal critical behavior of stochastic population models as
well as probabilistic geometric problems such as directed percolation. In 1975
Suranyi and others developed cut RFT, which can incorporate the cutting rules
of Abramovskii, Gribov and Kancheli for how each diagram contributes to
inclusive cross-sections. In this note we describe the corresponding
probabilistic interpretations of cut RFT: as a population model of two
genotypes, which can reproduce both asexually and sexually; and as a kind of
bicolor directed percolation problem. In both cases the AGK rules correspond to
simple limiting cases of these problems.
| [
{
"created": "Tue, 20 Apr 2021 03:08:25 GMT",
"version": "v1"
}
] | 2021-04-21 | [
[
"Cardy",
"John",
""
]
] | Reggeon field theory (RFT), originally developed in the context of high energy diffraction scattering, has a much wider applicability, describing, for example, the universal critical behavior of stochastic population models as well as probabilistic geometric problems such as directed percolation. In 1975 Suranyi and others developed cut RFT, which can incorporate the cutting rules of Abramovskii, Gribov and Kancheli for how each diagram contributes to inclusive cross-sections. In this note we describe the corresponding probabilistic interpretations of cut RFT: as a population model of two genotypes, which can reproduce both asexually and sexually; and as a kind of bicolor directed percolation problem. In both cases the AGK rules correspond to simple limiting cases of these problems. |
1011.5148 | Abolfazl Jafari | Abolfazl Jafari | Scalar Field in Non-commutative Curved Space Time | 3 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the issue of complex scalar field theories in noncommutative curved
space time (NCCST) with a new star-product. In this paper, the equation of
motion of scalar field and the canonical energy-momentum tensor of scalar field
in static noncommutative curved space time (SNCCST) will be found. The most
important point is the assumption of the noncommutative parameter ($\theta$) be
$x^{\m}$-independent, the noncommutativity with time attended (TNC) and the
metric tensor is time independent.
| [
{
"created": "Mon, 22 Nov 2010 14:48:54 GMT",
"version": "v1"
},
{
"created": "Sun, 26 Dec 2010 05:24:08 GMT",
"version": "v2"
},
{
"created": "Wed, 12 Jan 2011 14:06:44 GMT",
"version": "v3"
},
{
"created": "Thu, 26 May 2011 07:08:28 GMT",
"version": "v4"
}
] | 2011-05-27 | [
[
"Jafari",
"Abolfazl",
""
]
] | We study the issue of complex scalar field theories in noncommutative curved space time (NCCST) with a new star-product. In this paper, the equation of motion of scalar field and the canonical energy-momentum tensor of scalar field in static noncommutative curved space time (SNCCST) will be found. The most important point is the assumption of the noncommutative parameter ($\theta$) be $x^{\m}$-independent, the noncommutativity with time attended (TNC) and the metric tensor is time independent. |
1111.6912 | Michael Gutperle | Marco Chiodaroli, Eric D'Hoker, Michael Gutperle | Simple holographic duals to boundary CFTs | 37 pages, pdflatex, 5 figures | null | 10.1007/JHEP02(2012)005 | IGC-11/11-2 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | By relaxing the regularity conditions imposed in arXiv:1107.1722 on half-BPS
solutions to six-dimensional Type~4b supergravity, we enlarge the space of
solutions to include two new half-BPS configurations, which we refer to as the
\kap\ and the \funnel. We give evidence that the \kap\ and \funnel\ can be
interpreted as fully back-reacted brane solutions with respectively $AdS_2$ and
$AdS_2\times S^2$ world volumes. \kap\ and \funnel\ solutions with a single
asymptotic $AdS_3 \times S^3$ region are constructed analytically. We argue
that \kap\ solutions provide simple examples of holographic duals to boundary
CFTs in two dimensions and present calculations of their holographic boundary
entropy to support the BCFT dual picture.
| [
{
"created": "Tue, 29 Nov 2011 17:34:02 GMT",
"version": "v1"
}
] | 2015-06-03 | [
[
"Chiodaroli",
"Marco",
""
],
[
"D'Hoker",
"Eric",
""
],
[
"Gutperle",
"Michael",
""
]
] | By relaxing the regularity conditions imposed in arXiv:1107.1722 on half-BPS solutions to six-dimensional Type~4b supergravity, we enlarge the space of solutions to include two new half-BPS configurations, which we refer to as the \kap\ and the \funnel. We give evidence that the \kap\ and \funnel\ can be interpreted as fully back-reacted brane solutions with respectively $AdS_2$ and $AdS_2\times S^2$ world volumes. \kap\ and \funnel\ solutions with a single asymptotic $AdS_3 \times S^3$ region are constructed analytically. We argue that \kap\ solutions provide simple examples of holographic duals to boundary CFTs in two dimensions and present calculations of their holographic boundary entropy to support the BCFT dual picture. |
2405.00404 | Mateo Pauli\v{s}i\'c | Maro Cvitan, Predrag Dominis Prester, Stefano Giaccari, Mateo
Pauli\v{s}i\'c, Ivan Vukovi\'c | Rotations and boosts of Hermite functions | 29 pages | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide transformation matrices for arbitrary Lorentz transformations of
multidimensional Hermite functions in any dimension. These serve as a valuable
tool for analyzing spacetime properties of MHS fields, and aid in the
description of the relativistic harmonic oscillator and digital image
manipulation. We also focus on finite boosts and rotations around specific
axes, enabling us to identify the Lorentz Lie algebra generators. As an
application and to establish a contact with the literature we construct a basis
in which the two dimensional rotation operator is diagonal. We comment on the
use of hypergeometric functions, the Wigner d-functions, Kravchuk polynomials,
Jacobi polynomials and generalized associated Legendre functions.
| [
{
"created": "Wed, 1 May 2024 09:19:20 GMT",
"version": "v1"
}
] | 2024-05-02 | [
[
"Cvitan",
"Maro",
""
],
[
"Prester",
"Predrag Dominis",
""
],
[
"Giaccari",
"Stefano",
""
],
[
"Paulišić",
"Mateo",
""
],
[
"Vuković",
"Ivan",
""
]
] | We provide transformation matrices for arbitrary Lorentz transformations of multidimensional Hermite functions in any dimension. These serve as a valuable tool for analyzing spacetime properties of MHS fields, and aid in the description of the relativistic harmonic oscillator and digital image manipulation. We also focus on finite boosts and rotations around specific axes, enabling us to identify the Lorentz Lie algebra generators. As an application and to establish a contact with the literature we construct a basis in which the two dimensional rotation operator is diagonal. We comment on the use of hypergeometric functions, the Wigner d-functions, Kravchuk polynomials, Jacobi polynomials and generalized associated Legendre functions. |
hep-th/0207087 | Taylan Yetkin | S. Gonen, A. Havare, N. Unal | Exact Solutions of Kemmer Equation for Coulomb Potential | LaTex file, 14 pages, no figures, revised for publication | null | null | null | hep-th | null | This article illustrates the bound states of Kemmer equation for spin-1
particles. The asymptotic, exact and Coulomb field solutions are obtained by
using action principle. In the conclusion the energy spectrum of spin-1
particles moving in a Coulomb potential compared with the energy spectrum of
spin-0 and spin-1/2 particles.
| [
{
"created": "Wed, 10 Jul 2002 09:29:56 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Aug 2002 15:28:14 GMT",
"version": "v2"
},
{
"created": "Sun, 17 Nov 2002 19:09:00 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Gonen",
"S.",
""
],
[
"Havare",
"A.",
""
],
[
"Unal",
"N.",
""
]
] | This article illustrates the bound states of Kemmer equation for spin-1 particles. The asymptotic, exact and Coulomb field solutions are obtained by using action principle. In the conclusion the energy spectrum of spin-1 particles moving in a Coulomb potential compared with the energy spectrum of spin-0 and spin-1/2 particles. |
2212.03458 | Dibakar Roychowdhury | Dibakar Roychowdhury | Covariant action for M5 brane in nonrelativistic M-theory | v4, title changed, the presentation has been substantially revised
and previous errors were removed, Accepted for Publication In Nuclear Physics
B | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct the nonrelativistic covariant world-volume action for a single
M5 brane of $ D=11 $ supergravity in M-theory. The corresponding non-Lorentzian
(NL) background possesses a codimension three foliation and is identified as
the Membrane Newton-Cartan manifold in the presence of background fluxes that
are suitably expanded in $ 1/c^2 $ expansion. We also expand the associated
world-volume fields in $ 1/c^2 $ expansion. The above procedure eventually
results into a well defined world-volume action that is coupled to Membrane
Newton-Cartan background.
| [
{
"created": "Wed, 7 Dec 2022 04:47:28 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Jan 2023 20:13:25 GMT",
"version": "v2"
},
{
"created": "Tue, 12 Sep 2023 05:46:05 GMT",
"version": "v3"
},
{
"created": "Sun, 28 Jan 2024 17:42:45 GMT",
"version": "v4"
}
] | 2024-01-30 | [
[
"Roychowdhury",
"Dibakar",
""
]
] | We construct the nonrelativistic covariant world-volume action for a single M5 brane of $ D=11 $ supergravity in M-theory. The corresponding non-Lorentzian (NL) background possesses a codimension three foliation and is identified as the Membrane Newton-Cartan manifold in the presence of background fluxes that are suitably expanded in $ 1/c^2 $ expansion. We also expand the associated world-volume fields in $ 1/c^2 $ expansion. The above procedure eventually results into a well defined world-volume action that is coupled to Membrane Newton-Cartan background. |
1104.2088 | Mark Trodden | Mark Trodden and Kurt Hinterbichler | Generalizing Galileons | 16 pages; invited brief review article for a special issue of
Classical and Quantum Gravity. Submitted to CQG | Class.Quant.Grav.28:204003,2011 | 10.1088/0264-9381/28/20/204003 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Galileons are a set of terms within four-dimensional effective field
theories, obeying symmetries that can be derived from the dynamics of a
3+1-dimensional flat brane embedded in a 5-dimensional Minkowski Bulk. These
theories have some intriguing properties, including freedom from ghosts and a
non-renormalization theorem that hints at possible applications in both
particle physics and cosmology. In this brief review article, we will summarize
our attempts over the last year to extend the Galileon idea in two important
ways. We will discuss the effective field theory construction arising from
co-dimension greater than one flat branes embedded in a flat background - the
multiGalileons - and we will then describe symmetric covariant versions of the
Galileons, more suitable for general cosmological applications. While all these
Galileons can be thought of as interesting four-dimensional field theories in
their own rights, the work described here may also make it easier to embed them
into string theory, with its multiple extra dimensions and more general
gravitational backgrounds.
| [
{
"created": "Mon, 11 Apr 2011 23:22:17 GMT",
"version": "v1"
}
] | 2011-10-10 | [
[
"Trodden",
"Mark",
""
],
[
"Hinterbichler",
"Kurt",
""
]
] | The Galileons are a set of terms within four-dimensional effective field theories, obeying symmetries that can be derived from the dynamics of a 3+1-dimensional flat brane embedded in a 5-dimensional Minkowski Bulk. These theories have some intriguing properties, including freedom from ghosts and a non-renormalization theorem that hints at possible applications in both particle physics and cosmology. In this brief review article, we will summarize our attempts over the last year to extend the Galileon idea in two important ways. We will discuss the effective field theory construction arising from co-dimension greater than one flat branes embedded in a flat background - the multiGalileons - and we will then describe symmetric covariant versions of the Galileons, more suitable for general cosmological applications. While all these Galileons can be thought of as interesting four-dimensional field theories in their own rights, the work described here may also make it easier to embed them into string theory, with its multiple extra dimensions and more general gravitational backgrounds. |
1810.03312 | Yunseok Seo | Geunho Song, Yunseok Seo, Sang-Jin Sin | Unitarity bound violation in holography and the Instability toward the
Charge Density Wave | 13 pages, 8 figures, v3: figures changed and minor changes | null | null | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the spectral function of fermions in a holographic set up with bulk
Dirac mass in the regime beyond the conformal unitarity bound, and find that
spectral function has the dispersion relation with tachyonic behavior,
indicating an instability. Based on linearity between the density and the
position of the tip of the k-gap, we suggest that this instability is toward
the charge density wave(CDW) and the position of the tip can be identified as
the wave vector of CDW. For the physical origin, we point out the similarity of
unitarity violation in our non-Fermi Liquid theory and nesting phenomena in the
Fermi liquid theory as the mechanism of CDW instability.
| [
{
"created": "Mon, 8 Oct 2018 08:27:27 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Oct 2018 01:28:51 GMT",
"version": "v2"
},
{
"created": "Thu, 30 May 2019 01:56:15 GMT",
"version": "v3"
}
] | 2019-05-31 | [
[
"Song",
"Geunho",
""
],
[
"Seo",
"Yunseok",
""
],
[
"Sin",
"Sang-Jin",
""
]
] | We study the spectral function of fermions in a holographic set up with bulk Dirac mass in the regime beyond the conformal unitarity bound, and find that spectral function has the dispersion relation with tachyonic behavior, indicating an instability. Based on linearity between the density and the position of the tip of the k-gap, we suggest that this instability is toward the charge density wave(CDW) and the position of the tip can be identified as the wave vector of CDW. For the physical origin, we point out the similarity of unitarity violation in our non-Fermi Liquid theory and nesting phenomena in the Fermi liquid theory as the mechanism of CDW instability. |
1805.09228 | Antoine Van Proeyen | Sergio Ferrara, Marine Samsonyan, Magnus Tournoy and Antoine Van
Proeyen | Comments on rigid and local supercurrents in ${\cal N}=1$ minimal
Supergravity | 29 pages | null | 10.1002/prop.201800049 | CERN-TH-2018-071 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss local supercurrents as sources of the super-Einstein equations in
the superconformal approach in the old and new minimal (auxiliary fields)
formulation. Modifications of the Ward identity giving the covariant divergence
of the Einstein multiplet are considered in presence of a Fayet-Iliopoulos
term. Curvature multiplets can be used as alternative to the gravitino
variation in the search for rigid supersymmetric curved backgrounds.
| [
{
"created": "Wed, 23 May 2018 15:40:06 GMT",
"version": "v1"
}
] | 2018-08-29 | [
[
"Ferrara",
"Sergio",
""
],
[
"Samsonyan",
"Marine",
""
],
[
"Tournoy",
"Magnus",
""
],
[
"Van Proeyen",
"Antoine",
""
]
] | We discuss local supercurrents as sources of the super-Einstein equations in the superconformal approach in the old and new minimal (auxiliary fields) formulation. Modifications of the Ward identity giving the covariant divergence of the Einstein multiplet are considered in presence of a Fayet-Iliopoulos term. Curvature multiplets can be used as alternative to the gravitino variation in the search for rigid supersymmetric curved backgrounds. |
hep-th/0209062 | Miloslav Znojil | Miloslav Znojil | PT symmetry and supersymmetry | Summary of conference talk: XXIV ICGTMP (Group 24), Paris, July 15 -
20, 2002 (4 pages, latex) | IoP Conf. Ser. 173 (2003) 629-632 ("Group 24: Phys. and Math.
Aspects of Symmetries", IoP, Bristol, 2003, Ed. -P. Gazeau et al) | null | null | hep-th | null | A re-formulated, non-Hermitian version of the Witten's supersymmetric quantum
mechanics is presented. Its use of pseudo-Hermitian (so called PT symmetric)
Hamiltonians is reviewed and illustrated via several forms of an innovated
supersymmetric partnership between strongly singular ("spiked") harmonic
oscillators.
| [
{
"created": "Sat, 7 Sep 2002 09:00:26 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Znojil",
"Miloslav",
""
]
] | A re-formulated, non-Hermitian version of the Witten's supersymmetric quantum mechanics is presented. Its use of pseudo-Hermitian (so called PT symmetric) Hamiltonians is reviewed and illustrated via several forms of an innovated supersymmetric partnership between strongly singular ("spiked") harmonic oscillators. |
1007.2583 | Peter Watson | Peter Watson, Hugo Reinhardt | The Coulomb gauge ghost Dyson-Schwinger equation | 17 pages, 5 figures, updated version to account for referees'
suggestions | Phys.Rev.D82:125010,2010 | 10.1103/PhysRevD.82.125010 | null | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A numerical study of the ghost Dyson-Schwinger equation in Coulomb gauge is
performed and solutions for the ghost propagator found. As input, lattice
results for the spatial gluon propagator are used. It is shown that in order to
solve completely, the equation must be supplemented by a nonperturbative
boundary condition (the value of the inverse ghost propagator dressing function
at zero momentum) which determines if the solution is critical (zero value for
the boundary condition) or subcritical (finite value). The various solutions
exhibit a characteristic behavior where all curves follow the same (critical)
solution when going from high to low momenta until `forced' to freeze out in
the infrared to the value of the boundary condition. The renormalization is
shown to be largely independent of the boundary condition. The boundary
condition and the pattern of the solutions can be interpreted in terms of the
Gribov gauge-fixing ambiguity. The connection to the temporal gluon propagator
and the infrared slavery picture of confinement is explored.
| [
{
"created": "Thu, 15 Jul 2010 15:03:27 GMT",
"version": "v1"
},
{
"created": "Sun, 21 Nov 2010 19:45:01 GMT",
"version": "v2"
}
] | 2010-12-24 | [
[
"Watson",
"Peter",
""
],
[
"Reinhardt",
"Hugo",
""
]
] | A numerical study of the ghost Dyson-Schwinger equation in Coulomb gauge is performed and solutions for the ghost propagator found. As input, lattice results for the spatial gluon propagator are used. It is shown that in order to solve completely, the equation must be supplemented by a nonperturbative boundary condition (the value of the inverse ghost propagator dressing function at zero momentum) which determines if the solution is critical (zero value for the boundary condition) or subcritical (finite value). The various solutions exhibit a characteristic behavior where all curves follow the same (critical) solution when going from high to low momenta until `forced' to freeze out in the infrared to the value of the boundary condition. The renormalization is shown to be largely independent of the boundary condition. The boundary condition and the pattern of the solutions can be interpreted in terms of the Gribov gauge-fixing ambiguity. The connection to the temporal gluon propagator and the infrared slavery picture of confinement is explored. |
1509.07475 | Christoph Keller | Daniel Friedan and Christoph A. Keller | Cauchy conformal fields in dimensions d>2 | 45 pages; v2: references added | null | 10.1007/s00220-015-2547-x | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Holomorphic fields play an important role in 2d conformal field theory. We
generalize them to d>2 by introducing the notion of Cauchy conformal fields,
which satisfy a first order differential equation such that they are determined
everywhere once we know their value on a codimension 1 surface. We classify all
the unitary Cauchy fields. By analyzing the mode expansion on the unit sphere,
we show that all unitary Cauchy fields are free in the sense that their
correlation functions factorize on the 2-point function. We also discuss the
possibility of non-unitary Cauchy fields and classify them in d=3 and 4.
| [
{
"created": "Thu, 24 Sep 2015 19:01:09 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Oct 2015 12:29:37 GMT",
"version": "v2"
}
] | 2016-02-17 | [
[
"Friedan",
"Daniel",
""
],
[
"Keller",
"Christoph A.",
""
]
] | Holomorphic fields play an important role in 2d conformal field theory. We generalize them to d>2 by introducing the notion of Cauchy conformal fields, which satisfy a first order differential equation such that they are determined everywhere once we know their value on a codimension 1 surface. We classify all the unitary Cauchy fields. By analyzing the mode expansion on the unit sphere, we show that all unitary Cauchy fields are free in the sense that their correlation functions factorize on the 2-point function. We also discuss the possibility of non-unitary Cauchy fields and classify them in d=3 and 4. |
hep-th/9312112 | Huebschmann Johannes | Johannes Huebschmann | Symplectic and Poisson structures of certain moduli spaces | 18 pages | Duke Math.J. 80 (1995) 737-756 | null | PUB. IRMA-Lille-93-33.X | hep-th math.SG | null | Symplectic and Poisson structures of certain moduli spaces/Huebschmann,J./
Abstract: Let $\pi$ be the fundamental group of a closed surface and $G$ a Lie
group with a biinvariant metric, not necessarily positive definite. It is shown
that a certain construction due to A. Weinstein relying on techniques from
equivariant cohomology may be refined so as to yield (i) a symplectic structure
on a certain smooth manifold $\Cal M(\Cal P,G)$ containing the space
$\roman{Hom}(\pi,G)$ of homomorphisms and, furthermore, (ii) a hamiltonian
$G$-action on $\Cal M(\Cal P,G)$ preserving the symplectic structure, with
momentum mapping $\mu \colon \Cal M(\Cal P,G) \to g^*$, in such a way that the
reduced space equals the space $\roman{Rep}(\pi,G)$ of representations. Our
approach is somewhat more general in that it also applies to twisted moduli
spaces; in particular, it yields the {\smc Narasimhan-Seshadri} moduli spaces
of semistable holomorphic vector bundles by {\it symplectic reduction in finite
dimensions}.This implies that, when the group $G$ is compact, such a twisted
moduli space inherits a structure of {\it stratified symplectic space}, and
that the strata of these twisted moduli spaces have finite symplectic volume.
| [
{
"created": "Tue, 14 Dec 1993 09:58:38 GMT",
"version": "v1"
}
] | 2008-02-03 | [
[
"Huebschmann",
"Johannes",
""
]
] | Symplectic and Poisson structures of certain moduli spaces/Huebschmann,J./ Abstract: Let $\pi$ be the fundamental group of a closed surface and $G$ a Lie group with a biinvariant metric, not necessarily positive definite. It is shown that a certain construction due to A. Weinstein relying on techniques from equivariant cohomology may be refined so as to yield (i) a symplectic structure on a certain smooth manifold $\Cal M(\Cal P,G)$ containing the space $\roman{Hom}(\pi,G)$ of homomorphisms and, furthermore, (ii) a hamiltonian $G$-action on $\Cal M(\Cal P,G)$ preserving the symplectic structure, with momentum mapping $\mu \colon \Cal M(\Cal P,G) \to g^*$, in such a way that the reduced space equals the space $\roman{Rep}(\pi,G)$ of representations. Our approach is somewhat more general in that it also applies to twisted moduli spaces; in particular, it yields the {\smc Narasimhan-Seshadri} moduli spaces of semistable holomorphic vector bundles by {\it symplectic reduction in finite dimensions}.This implies that, when the group $G$ is compact, such a twisted moduli space inherits a structure of {\it stratified symplectic space}, and that the strata of these twisted moduli spaces have finite symplectic volume. |
hep-th/0204222 | Patrick Peter | Jerome Martin, Patrick Peter, Nelson Pinto-Neto and Dominik J. Schwarz | Comment on "Density perturbations in the ekpyrotic scenario" | 4 pages, no figure, RevTeX, commenting on hep-th/0109050 | Phys.Rev. D67 (2003) 028301 | 10.1103/PhysRevD.67.028301 | null | hep-th astro-ph gr-qc hep-ph | null | In the paper ``Density perturbations in the ekpyrotic scenario'', it is
argued that the expected spectrum of primordial perturbations should be scale
invariant in this scenario. Here we show that, contrary to what is claimed in
that paper, the expected spectrum depends on an arbitrary choice of matching
variable. As no underlying (microphysical) principle exists at the present time
that could lift the arbitrariness, we conclude that the ekpyrotic scenario is
not yet a predictive model.
| [
{
"created": "Thu, 25 Apr 2002 14:32:33 GMT",
"version": "v1"
},
{
"created": "Mon, 6 May 2002 08:21:25 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Martin",
"Jerome",
""
],
[
"Peter",
"Patrick",
""
],
[
"Pinto-Neto",
"Nelson",
""
],
[
"Schwarz",
"Dominik J.",
""
]
] | In the paper ``Density perturbations in the ekpyrotic scenario'', it is argued that the expected spectrum of primordial perturbations should be scale invariant in this scenario. Here we show that, contrary to what is claimed in that paper, the expected spectrum depends on an arbitrary choice of matching variable. As no underlying (microphysical) principle exists at the present time that could lift the arbitrariness, we conclude that the ekpyrotic scenario is not yet a predictive model. |
1404.3216 | Nima Lashkari | Nima Lashkari | Relative Entropies in Conformal Field Theory | null | Phys. Rev. Lett. 113, 051602 (2014) | 10.1103/PhysRevLett.113.051602 | null | hep-th cond-mat.stat-mech quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Relative entropy is a measure of distinguishability for quantum states, and
plays a central role in quantum information theory. The family of Renyi
entropies generalizes to Renyi relative entropies that include as special cases
most entropy measures used in quantum information theory. We construct a
Euclidean path-integral approach to Renyi relative entropies in conformal field
theory, then compute the fidelity and the relative entropy of states in one
spatial dimension at zero and finite temperature using a replica trick. In
contrast to the entanglement entropy, the relative entropy is free of
ultraviolet divergences, and is obtained as a limit of certain correlation
functions. The relative entropy of two states provides an upper bound on their
trace distance.
| [
{
"created": "Fri, 11 Apr 2014 20:16:23 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Apr 2014 20:36:43 GMT",
"version": "v2"
},
{
"created": "Mon, 23 Jun 2014 15:23:02 GMT",
"version": "v3"
}
] | 2014-12-12 | [
[
"Lashkari",
"Nima",
""
]
] | Relative entropy is a measure of distinguishability for quantum states, and plays a central role in quantum information theory. The family of Renyi entropies generalizes to Renyi relative entropies that include as special cases most entropy measures used in quantum information theory. We construct a Euclidean path-integral approach to Renyi relative entropies in conformal field theory, then compute the fidelity and the relative entropy of states in one spatial dimension at zero and finite temperature using a replica trick. In contrast to the entanglement entropy, the relative entropy is free of ultraviolet divergences, and is obtained as a limit of certain correlation functions. The relative entropy of two states provides an upper bound on their trace distance. |
hep-th/0002237 | Washington Taylor | Nicolas Moeller and Washington Taylor (MIT) | Level truncation and the tachyon in open bosonic string field theory | 32 pages, 4 figures, LaTeX | Nucl.Phys. B583 (2000) 105-144 | 10.1016/S0550-3213(00)00293-5 | MIT-CTP-2954 | hep-th | null | The tachyonic instability of the open bosonic string is analyzed using the
level truncation approach to string field theory. We have calculated all terms
in the cubic action of the string field theory describing zero-momentum
interactions of up to level 20 between scalars of level 10 or less. These
results are used to study the tachyon effective potential and the
nonperturbative stable vacuum. We find that the energy gap between the unstable
and stable vacua converges much more quickly than the coefficients of the
effective tachyon potential. By including fields up to level 10, 99.91% of the
energy from the bosonic D-brane tension is cancelled in the nonperturbative
stable vacuum. It appears that the perturbative expansion of the effective
tachyon potential around the unstable vacuum has a small but finite radius of
convergence. We find evidence for a critical point in the tachyon effective
potential at a small negative value of the tachyon field corresponding to this
radius of convergence. We study the branch structure of the effective potential
in the vicinity of this point and speculate that the tachyon effective
potential is globally nonnegative.
| [
{
"created": "Mon, 28 Feb 2000 18:52:59 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Moeller",
"Nicolas",
"",
"MIT"
],
[
"Taylor",
"Washington",
"",
"MIT"
]
] | The tachyonic instability of the open bosonic string is analyzed using the level truncation approach to string field theory. We have calculated all terms in the cubic action of the string field theory describing zero-momentum interactions of up to level 20 between scalars of level 10 or less. These results are used to study the tachyon effective potential and the nonperturbative stable vacuum. We find that the energy gap between the unstable and stable vacua converges much more quickly than the coefficients of the effective tachyon potential. By including fields up to level 10, 99.91% of the energy from the bosonic D-brane tension is cancelled in the nonperturbative stable vacuum. It appears that the perturbative expansion of the effective tachyon potential around the unstable vacuum has a small but finite radius of convergence. We find evidence for a critical point in the tachyon effective potential at a small negative value of the tachyon field corresponding to this radius of convergence. We study the branch structure of the effective potential in the vicinity of this point and speculate that the tachyon effective potential is globally nonnegative. |
1802.05890 | Balazs Pozsgay | B. Pozsgay and I. M. Sz\'ecs\'enyi | LeClair-Mussardo series for two-point functions in Integrable QFT | 27 pages, v2: minor modifications, a note and a reference added | null | 10.1007/JHEP05(2018)170 | null | hep-th cond-mat.stat-mech nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop a well-defined spectral representation for two-point functions in
relativistic Integrable QFT in finite density situations, valid for space-like
separations. The resulting integral series is based on the infinite volume,
zero density form factors of the theory, and certain statistical functions
related to the distribution of Bethe roots in the finite density background.
Our final formulas are checked by comparing them to previous partial results
obtained in a low-temperature expansion. It is also show that in the limit of
large separations the new integral series factorizes into the product of two
LeClair-Mussardo series for one-point functions, thereby satisfying the
clustering requirement for the two-point function.
| [
{
"created": "Fri, 16 Feb 2018 10:46:30 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Feb 2018 12:23:42 GMT",
"version": "v2"
}
] | 2018-07-04 | [
[
"Pozsgay",
"B.",
""
],
[
"Szécsényi",
"I. M.",
""
]
] | We develop a well-defined spectral representation for two-point functions in relativistic Integrable QFT in finite density situations, valid for space-like separations. The resulting integral series is based on the infinite volume, zero density form factors of the theory, and certain statistical functions related to the distribution of Bethe roots in the finite density background. Our final formulas are checked by comparing them to previous partial results obtained in a low-temperature expansion. It is also show that in the limit of large separations the new integral series factorizes into the product of two LeClair-Mussardo series for one-point functions, thereby satisfying the clustering requirement for the two-point function. |
2402.07276 | Jacopo Papalini | Luca Griguolo, Jacopo Papalini, Lorenzo Russo, Domenico Seminara | Asymptotics of Weil-Petersson volumes and two-dimensional quantum
gravities | 34 pages, 4 figures | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We propose a refined expression for the large genus asymptotics of the
Weil-Petersson volumes of the moduli space of super-Riemann surfaces with an
arbitrary number of boundaries. Our formula leverages the connection between JT
supergravity and its matrix model definition, utilizing some basic tools of
resurgence theory. The final result holds for arbitrary boundary lengths and
preserves the polynomial structure of the super-volumes. As a byproduct we also
obtain a prediction for the large genus asymptotics of generalized
$\Theta$-class intersection numbers. We extend our proposal to the case of the
quantum volumes relevant for the Virasoro minimal string/Liouville gravity.
Performing the classical limit on the quantum volumes, we recover a formula for
the ordinary Weil-Petersson building blocks of JT gravity.
| [
{
"created": "Sun, 11 Feb 2024 19:00:11 GMT",
"version": "v1"
}
] | 2024-02-13 | [
[
"Griguolo",
"Luca",
""
],
[
"Papalini",
"Jacopo",
""
],
[
"Russo",
"Lorenzo",
""
],
[
"Seminara",
"Domenico",
""
]
] | We propose a refined expression for the large genus asymptotics of the Weil-Petersson volumes of the moduli space of super-Riemann surfaces with an arbitrary number of boundaries. Our formula leverages the connection between JT supergravity and its matrix model definition, utilizing some basic tools of resurgence theory. The final result holds for arbitrary boundary lengths and preserves the polynomial structure of the super-volumes. As a byproduct we also obtain a prediction for the large genus asymptotics of generalized $\Theta$-class intersection numbers. We extend our proposal to the case of the quantum volumes relevant for the Virasoro minimal string/Liouville gravity. Performing the classical limit on the quantum volumes, we recover a formula for the ordinary Weil-Petersson building blocks of JT gravity. |
1607.08107 | Andrea Addazi AndAdd | Andrea Addazi | $\infty-\infty$: vacuum energy and virtual black-holes | More useful references added in Section II A & Conclusions, few
english typos and typo in Eq.29 were corrected, more acknowledgments added.
Conclusions are unchanged | null | 10.1209/0295-5075/116/20003 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss other contributions to the vacuum energy of quantum field theories
and quantum gravity, which have not been considered in literature. As is well
known, the presence of virtual particles in vacuum provides the so famous and
puzzling contributions to the vacuum energy. As is well known, these mainly
come from loop integrations over the four-momenta space. However, we argue that
these also imply the presence of a mass density of virtual particles in every
volume cell of space-time. The most important contribution comes from quantum
gravity $S^{2}\times S^{2}$ bubbles, corresponding to virtual black hole pairs.
The presence of virtual masses could lead to another paradox: the space-time
itself would have an intrinsic virtual mass density contribution leading to a
disastrous contraction - as is known, no negative masses exist in general
relativity. We dub this effect {\it the cosmological problem of second type}:
if not other counter-terms existed, the vacuum energy would be inevitably
destabilized by virtual-mass contributions. It would be conceivable that the
cosmological problem of second type could solve the first one. Virtual masses
renormalize the vacuum energy to an unpredicted parameter, as in the
renormalization procedure of the Standard Model charges. In the limit of
$M_{Pl}\rightarrow \infty$ (Pauli-Villars limit), virtual black holes have a
mass density providing an infinite counter-term to the vacuum energy divergent
contribution $M_{Pl} \rightarrow \infty$ (assuming $M_{UV}=M_{Pl}$). Therefore,
in the same Schwinger-Feynman-Tomonaga attitude, the problem of a divergent
vacuum energy could be analogous to the {\it put-by-hand} procedure used for
Standard Model parameters.
| [
{
"created": "Wed, 27 Jul 2016 14:21:30 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Jul 2016 14:38:19 GMT",
"version": "v2"
},
{
"created": "Fri, 29 Jul 2016 21:05:55 GMT",
"version": "v3"
},
{
"created": "Wed, 3 Aug 2016 05:29:49 GMT",
"version": "v4"
},
{
"cr... | 2016-12-21 | [
[
"Addazi",
"Andrea",
""
]
] | We discuss other contributions to the vacuum energy of quantum field theories and quantum gravity, which have not been considered in literature. As is well known, the presence of virtual particles in vacuum provides the so famous and puzzling contributions to the vacuum energy. As is well known, these mainly come from loop integrations over the four-momenta space. However, we argue that these also imply the presence of a mass density of virtual particles in every volume cell of space-time. The most important contribution comes from quantum gravity $S^{2}\times S^{2}$ bubbles, corresponding to virtual black hole pairs. The presence of virtual masses could lead to another paradox: the space-time itself would have an intrinsic virtual mass density contribution leading to a disastrous contraction - as is known, no negative masses exist in general relativity. We dub this effect {\it the cosmological problem of second type}: if not other counter-terms existed, the vacuum energy would be inevitably destabilized by virtual-mass contributions. It would be conceivable that the cosmological problem of second type could solve the first one. Virtual masses renormalize the vacuum energy to an unpredicted parameter, as in the renormalization procedure of the Standard Model charges. In the limit of $M_{Pl}\rightarrow \infty$ (Pauli-Villars limit), virtual black holes have a mass density providing an infinite counter-term to the vacuum energy divergent contribution $M_{Pl} \rightarrow \infty$ (assuming $M_{UV}=M_{Pl}$). Therefore, in the same Schwinger-Feynman-Tomonaga attitude, the problem of a divergent vacuum energy could be analogous to the {\it put-by-hand} procedure used for Standard Model parameters. |
0901.1662 | James Gray | James Gray | A Simple Introduction to Grobner Basis Methods in String Phenomenology | 13 pages, Prepared for Mathematical Challenges in String
Phenomenology, ESI Vienna, Austria, Oct 6-15, 2008 | Adv.High Energy Phys.2011:217035 | 10.1155/2011/217035 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this talk I give an elementary introduction to the key algorithm used in
recent applications of computational algebraic geometry to the subject of
string phenomenology. I begin with a simple description of the algorithm itself
and then give 3 examples of its use in physics. I describe how it can be used
to obtain constraints on flux parameters, how it can simplify the equations
describing vacua in 4d string models and lastly how it can be used to compute
the vacuum space of the electroweak sector of the MSSM.
| [
{
"created": "Mon, 12 Jan 2009 21:24:22 GMT",
"version": "v1"
}
] | 2011-09-08 | [
[
"Gray",
"James",
""
]
] | In this talk I give an elementary introduction to the key algorithm used in recent applications of computational algebraic geometry to the subject of string phenomenology. I begin with a simple description of the algorithm itself and then give 3 examples of its use in physics. I describe how it can be used to obtain constraints on flux parameters, how it can simplify the equations describing vacua in 4d string models and lastly how it can be used to compute the vacuum space of the electroweak sector of the MSSM. |
1309.5773 | Ali Imaanpur | Ali Imaanpur | Type IIB flux compactifications on twistor bundles | 12 pages, typos fixed, minor corrections | Phys.Lett. B729 (2014) 45-49 | 10.1016/j.physletb.2013.12.059 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a U(1) bundle over N(1,1), usually considered as an SO(3) bundle
over CP^2, and show that type IIB supergravity can be consistently compactified
over it. With the five form flux turned on, there is a solution for which the
metric becomes Einstein. We also turn on 3-form fluxes and show that there is a
one parameter family of solutions. In particular, there is a limiting solution
of large 3-form fluxes for which two U(1) fiber directions of the metric shrink
to zero size. We also discuss compactifications over N(1,1) to AdS_3. All
solutions turn out to be non-supersymmetric.
| [
{
"created": "Mon, 23 Sep 2013 11:35:06 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Jan 2014 07:37:53 GMT",
"version": "v2"
}
] | 2015-06-17 | [
[
"Imaanpur",
"Ali",
""
]
] | We construct a U(1) bundle over N(1,1), usually considered as an SO(3) bundle over CP^2, and show that type IIB supergravity can be consistently compactified over it. With the five form flux turned on, there is a solution for which the metric becomes Einstein. We also turn on 3-form fluxes and show that there is a one parameter family of solutions. In particular, there is a limiting solution of large 3-form fluxes for which two U(1) fiber directions of the metric shrink to zero size. We also discuss compactifications over N(1,1) to AdS_3. All solutions turn out to be non-supersymmetric. |
1803.01863 | Seyed Morteza Hosseini | Seyed Morteza Hosseini | Black hole microstates and supersymmetric localization | 208 pages; PhD thesis; mostly based on arXiv:1604.03122,
arXiv:1604.03397, arXiv:1611.09374, arXiv:1705.05383, arXiv:1707.06884 with
some new results/observations; V2: few signs corrected, typos removed | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This thesis focuses mainly on understanding the origin of the
Bekenstein-Hawking entropy for a class of four- and five-dimensional BPS black
holes in string/M-theory. To this aim, important ingredients are holography and
supersymmetric localization. Using the method of supersymmetric localization,
the Euclidean path integrals for supersymmetric field theories on
$\Sigma_\mathfrak{g} \times T^{n}$ $(n=1,2)$, with at least four real
supercharges, can be reduced to a matrix integral that depends on background
magnetic fluxes and chemical potentials for the global symmetries of the
theory. This defines the topologically twisted index which, upon extremization
with respect to the chemical potentials, is conjectured to reproduce the
entropy of magnetically charged static BPS AdS$_{4/5}$ black holes/strings. We
solve a number of such matrix models both in three and four dimensions and
provide general formulae in the large $N$ limit. We then use these results to
provide the microscopic realization of the entropy of a class of BPS black
holes in $\mathcal{N}=2$ gauged supergravity. Finally, inspired by our previous
results, we put forward an extremization principle for reproducing the
Bekenstein-Hawking entropy of a class of BPS electrically charged rotating
black holes in AdS$_5\times S^5$.
| [
{
"created": "Mon, 5 Mar 2018 19:00:02 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Nov 2018 02:30:55 GMT",
"version": "v2"
}
] | 2018-11-20 | [
[
"Hosseini",
"Seyed Morteza",
""
]
] | This thesis focuses mainly on understanding the origin of the Bekenstein-Hawking entropy for a class of four- and five-dimensional BPS black holes in string/M-theory. To this aim, important ingredients are holography and supersymmetric localization. Using the method of supersymmetric localization, the Euclidean path integrals for supersymmetric field theories on $\Sigma_\mathfrak{g} \times T^{n}$ $(n=1,2)$, with at least four real supercharges, can be reduced to a matrix integral that depends on background magnetic fluxes and chemical potentials for the global symmetries of the theory. This defines the topologically twisted index which, upon extremization with respect to the chemical potentials, is conjectured to reproduce the entropy of magnetically charged static BPS AdS$_{4/5}$ black holes/strings. We solve a number of such matrix models both in three and four dimensions and provide general formulae in the large $N$ limit. We then use these results to provide the microscopic realization of the entropy of a class of BPS black holes in $\mathcal{N}=2$ gauged supergravity. Finally, inspired by our previous results, we put forward an extremization principle for reproducing the Bekenstein-Hawking entropy of a class of BPS electrically charged rotating black holes in AdS$_5\times S^5$. |
hep-th/9901111 | Georgi Dvali | G. Dvali and M. Shifman | Surviving on the Slope: Supersymmetric Vacuum in the Theories Where It
Is Not Supposed to Be | 4 pages, Latex, references added | Phys.Lett. B454 (1999) 277-280 | 10.1016/S0370-2693(99)00409-8 | TPI-MINN-99/02-T, UMN-TH-1738/99, NYU-TH-99/1/01 | hep-th | null | In supersymmetric models with the run-away vacua or with the stable but
non-supersymmetric ground state there exist stable field configurations (vacua)
which restore one half of supersymmetry and are characterized by constant
positive energy density. The formal foundation for such vacua is provided by
the central extension of the N =1 superalgebra with the infinite central
charge.
| [
{
"created": "Fri, 22 Jan 1999 22:16:19 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Feb 1999 21:46:46 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Dvali",
"G.",
""
],
[
"Shifman",
"M.",
""
]
] | In supersymmetric models with the run-away vacua or with the stable but non-supersymmetric ground state there exist stable field configurations (vacua) which restore one half of supersymmetry and are characterized by constant positive energy density. The formal foundation for such vacua is provided by the central extension of the N =1 superalgebra with the infinite central charge. |
hep-th/9908199 | Kasper Olsen | Kasper Olsen | Aspects of duality | 140 pages, PhD thesis March 1999 | null | null | null | hep-th | null | This thesis discusses various aspects of duality in quantum field theory and
string theory. In the first part we consider duality in topological quantum
field theories, concentrating on the Donaldson and Seiberg-Witten theories as
(dual) approaches to the study of four-manifolds. Lower-dimensional variants of
these theories are also discussed. In the second part of the thesis we discuss
duality in 2D sigma models by studying the interplay between renormalization
group flows - as generated by the beta functions - and T-duality. The
hypothesis put forward in the thesis is that for these to be mutually
consistent, they should commute as operators in parameter space. The last part
of the thesis bring these subjects into perspective by reviewing some
nonperturbative dualities in string theory.
| [
{
"created": "Mon, 30 Aug 1999 14:56:40 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Olsen",
"Kasper",
""
]
] | This thesis discusses various aspects of duality in quantum field theory and string theory. In the first part we consider duality in topological quantum field theories, concentrating on the Donaldson and Seiberg-Witten theories as (dual) approaches to the study of four-manifolds. Lower-dimensional variants of these theories are also discussed. In the second part of the thesis we discuss duality in 2D sigma models by studying the interplay between renormalization group flows - as generated by the beta functions - and T-duality. The hypothesis put forward in the thesis is that for these to be mutually consistent, they should commute as operators in parameter space. The last part of the thesis bring these subjects into perspective by reviewing some nonperturbative dualities in string theory. |
hep-th/0205122 | Stuart Raby | Radovan Dermisek, Stuart Raby and S. Nandi | Magnetic Monopoles with Wilson loops on a 5D Orbifold | 17 pages, 1 figure | Nucl.Phys. B641 (2002) 327-340 | 10.1016/S0550-3213(02)00611-9 | null | hep-th hep-ph | null | We discuss magnetic monopoles in gauge theories with Wilson loops on
orbifolds. We present a simple example in 5 dimensions with the fifth dimension
compactified on an S^1/Z_2 orbifold. The Wilson loop in this SO(3) example
replaces the adjoint Higgs scalar (needed to break SO(3) to U(1)) in the
well-known 't Hooft - Polyakov construction. Our solution is a magnetic
monopole string with finite energy, and length equal to the size of the extra
dimension.
| [
{
"created": "Mon, 13 May 2002 23:14:10 GMT",
"version": "v1"
}
] | 2010-04-05 | [
[
"Dermisek",
"Radovan",
""
],
[
"Raby",
"Stuart",
""
],
[
"Nandi",
"S.",
""
]
] | We discuss magnetic monopoles in gauge theories with Wilson loops on orbifolds. We present a simple example in 5 dimensions with the fifth dimension compactified on an S^1/Z_2 orbifold. The Wilson loop in this SO(3) example replaces the adjoint Higgs scalar (needed to break SO(3) to U(1)) in the well-known 't Hooft - Polyakov construction. Our solution is a magnetic monopole string with finite energy, and length equal to the size of the extra dimension. |
hep-th/0412127 | Heike Pahlisch | I. Agricola, T. Friedrich, P.-A. Nagy and C. Puhle | On the Ricci tensor in type II B string theory | 9 pages, Latex2e | Class.Quant.Grav. 22 (2005) 2569-2578 | 10.1088/0264-9381/22/13/003 | null | hep-th math.DG | null | Let $\nabla$ be a metric connection with totally skew-symmetric torsion $\T$
on a Riemannian manifold. Given a spinor field $\Psi$ and a dilaton function
$\Phi$, the basic equations in type II B string theory are \bdm \nabla \Psi =
0, \quad \delta(\T) = a \cdot \big(d \Phi \haken \T \big), \quad \T \cdot \Psi
= b \cdot d \Phi \cdot \Psi + \mu \cdot \Psi . \edm We derive some relations
between the length $||\T||^2$ of the torsion form, the scalar curvature of
$\nabla$, the dilaton function $\Phi$ and the parameters $a,b,\mu$. The main
results deal with the divergence of the Ricci tensor $\Ric^{\nabla}$ of the
connection. In particular, if the supersymmetry $\Psi$ is non-trivial and if
the conditions \bdm (d \Phi \haken \T) \haken \T = 0, \quad \delta^{\nabla}(d
\T) \cdot \Psi = 0 \edm hold, then the energy-momentum tensor is
divergence-free. We show that the latter condition is satisfied in many
examples constructed out of special geometries. A special case is $a = b$. Then
the divergence of the energy-momentum tensor vanishes if and only if one
condition $\delta^{\nabla}(d \T) \cdot \Psi = 0$ holds. Strong models ($d \T =
0$) have this property, but there are examples with $\delta^{\nabla}(d \T) \neq
0$ and $\delta^{\nabla}(d \T) \cdot \Psi = 0$.
| [
{
"created": "Mon, 13 Dec 2004 10:57:54 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Agricola",
"I.",
""
],
[
"Friedrich",
"T.",
""
],
[
"Nagy",
"P. -A.",
""
],
[
"Puhle",
"C.",
""
]
] | Let $\nabla$ be a metric connection with totally skew-symmetric torsion $\T$ on a Riemannian manifold. Given a spinor field $\Psi$ and a dilaton function $\Phi$, the basic equations in type II B string theory are \bdm \nabla \Psi = 0, \quad \delta(\T) = a \cdot \big(d \Phi \haken \T \big), \quad \T \cdot \Psi = b \cdot d \Phi \cdot \Psi + \mu \cdot \Psi . \edm We derive some relations between the length $||\T||^2$ of the torsion form, the scalar curvature of $\nabla$, the dilaton function $\Phi$ and the parameters $a,b,\mu$. The main results deal with the divergence of the Ricci tensor $\Ric^{\nabla}$ of the connection. In particular, if the supersymmetry $\Psi$ is non-trivial and if the conditions \bdm (d \Phi \haken \T) \haken \T = 0, \quad \delta^{\nabla}(d \T) \cdot \Psi = 0 \edm hold, then the energy-momentum tensor is divergence-free. We show that the latter condition is satisfied in many examples constructed out of special geometries. A special case is $a = b$. Then the divergence of the energy-momentum tensor vanishes if and only if one condition $\delta^{\nabla}(d \T) \cdot \Psi = 0$ holds. Strong models ($d \T = 0$) have this property, but there are examples with $\delta^{\nabla}(d \T) \neq 0$ and $\delta^{\nabla}(d \T) \cdot \Psi = 0$. |
hep-th/9212072 | Michael Penkava | Michael Penkava and Albert Schwarz | On Some Algebraic Structures Arising in String Theory | 15 pages (Some corrections were made) | null | null | UCD-92-03 | hep-th | null | Lian and Zuckerman proved that the homology of a topological chiral algebra
can be equipped with the structure of a BV-algebra; \ie one can introduce a
multiplication, an odd bracket, and an odd operator $\Delta$ having the same
properties as the corresponding operations in Batalin-Vilkovisky quantization
procedure. We give a simple proof of their results and discuss a generalization
of these results to the non chiral case. To simplify our proofs we use the
following theorem giving a characterization of a BV-algebra in terms of
multiplication and an operator $\Delta$: {\em If $A$ is a supercommutative,
associative algebra and $\Delta$ is an odd second order derivation on $A$
satisfying $\Delta^2=0$, one can provide $A$ with the structure of a
BV-algebra.}
| [
{
"created": "Fri, 11 Dec 1992 06:40:15 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Dec 1992 20:45:59 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Penkava",
"Michael",
""
],
[
"Schwarz",
"Albert",
""
]
] | Lian and Zuckerman proved that the homology of a topological chiral algebra can be equipped with the structure of a BV-algebra; \ie one can introduce a multiplication, an odd bracket, and an odd operator $\Delta$ having the same properties as the corresponding operations in Batalin-Vilkovisky quantization procedure. We give a simple proof of their results and discuss a generalization of these results to the non chiral case. To simplify our proofs we use the following theorem giving a characterization of a BV-algebra in terms of multiplication and an operator $\Delta$: {\em If $A$ is a supercommutative, associative algebra and $\Delta$ is an odd second order derivation on $A$ satisfying $\Delta^2=0$, one can provide $A$ with the structure of a BV-algebra.} |
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