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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9803139 | Benjamin Grinstein | Benjamin Grinstein and Detlef R. Nolte | Systematic Study of Theories with Quantum Modified Moduli II | 25 pages, ReVTeX (or Latex, etc) | Phys.Rev. D58 (1998) 045012 | 10.1103/PhysRevD.58.045012 | UCSD/PTH 98--11 | hep-th | null | We complete the process of classifying all supersymmetric theories with
quantum modified moduli. We present all the supersymmetric gauge theories based
on a simple orthogonal or exceptional group that exhibit a quantum modified
moduli space. The quantum modified constraints of theories derived from
s-confining theories are invariant under all symmetries. However, theories that
cannot be obtained by a deformation of an s-confining theory may have
constraints that are covariant, rather than invariant.
| [
{
"created": "Tue, 17 Mar 1998 19:58:49 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Grinstein",
"Benjamin",
""
],
[
"Nolte",
"Detlef R.",
""
]
] | We complete the process of classifying all supersymmetric theories with quantum modified moduli. We present all the supersymmetric gauge theories based on a simple orthogonal or exceptional group that exhibit a quantum modified moduli space. The quantum modified constraints of theories derived from s-confining theories are invariant under all symmetries. However, theories that cannot be obtained by a deformation of an s-confining theory may have constraints that are covariant, rather than invariant. |
1411.1590 | Roldao da Rocha | L. Bonora, K. P. S. de Brito, Roldao da Rocha | Spinor Fields Classification in Arbitrary Dimensions and New Classes of
Spinor Fields on 7-Manifolds | 15 pages | JHEP 02 (2015) 069 | 10.1007/JHEP02(2015)069 | SISSA 57/2014/FISI | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A classification of spinor fields according to the associated bilinear
covariants is constructed in arbitrary dimensions and metric signatures,
generalizing Lounesto's 4D spinor field classification. In such a generalized
classification a basic role is played by the geometric Fierz identities. In 4D
Minkowski spacetime the standard bilinear covariants can be either null or
non-null -- with the exception of the current density which is invariably
different from zero for physical reasons -- and sweep all types of spinor
fields, including Dirac, Weyl, Majorana and more generally flagpoles,
flag-dipoles and dipole spinor fields. To obtain an analogous classification in
higher dimensions we use the Fierz identities, which constrain the covariant
bilinears in the spinor fields and force some of them to vanish. A generalized
graded Fierz aggregate is moreover obtained in such a context simply from the
completeness relation. We analyze the particular and important case of
Riemannian 7-manifolds, where the Majorana spinor fields turn out to have a
quite special place. In particular, at variance with spinor fields in 4D
Minkowski spacetime that are classified in six disjoint classes, spinors in
Riemannian 7-manifolds are shown to be classified, according to the bilinear
covariants: (a) in just one class, in the real case of Majorana spinors; (b) in
four classes, in the most general case. Much like new classes of spinor fields
in 4D Minkowski spacetime have been evincing new possibilities in physics, we
think these new classes of spinor fields in seven dimensions are, in
particular, potential candidates for new solutions in the compactification of
supergravity on a seven-dimensional manifold and its exotic versions.
| [
{
"created": "Thu, 6 Nov 2014 12:55:21 GMT",
"version": "v1"
}
] | 2015-02-17 | [
[
"Bonora",
"L.",
""
],
[
"de Brito",
"K. P. S.",
""
],
[
"da Rocha",
"Roldao",
""
]
] | A classification of spinor fields according to the associated bilinear covariants is constructed in arbitrary dimensions and metric signatures, generalizing Lounesto's 4D spinor field classification. In such a generalized classification a basic role is played by the geometric Fierz identities. In 4D Minkowski spacetime the standard bilinear covariants can be either null or non-null -- with the exception of the current density which is invariably different from zero for physical reasons -- and sweep all types of spinor fields, including Dirac, Weyl, Majorana and more generally flagpoles, flag-dipoles and dipole spinor fields. To obtain an analogous classification in higher dimensions we use the Fierz identities, which constrain the covariant bilinears in the spinor fields and force some of them to vanish. A generalized graded Fierz aggregate is moreover obtained in such a context simply from the completeness relation. We analyze the particular and important case of Riemannian 7-manifolds, where the Majorana spinor fields turn out to have a quite special place. In particular, at variance with spinor fields in 4D Minkowski spacetime that are classified in six disjoint classes, spinors in Riemannian 7-manifolds are shown to be classified, according to the bilinear covariants: (a) in just one class, in the real case of Majorana spinors; (b) in four classes, in the most general case. Much like new classes of spinor fields in 4D Minkowski spacetime have been evincing new possibilities in physics, we think these new classes of spinor fields in seven dimensions are, in particular, potential candidates for new solutions in the compactification of supergravity on a seven-dimensional manifold and its exotic versions. |
1505.06775 | Dmitri Gal'tsov | D. V. Gal'tsov | Synchrotron radiation from massless charge | 13 pages, 1 figure | null | null | null | hep-th astro-ph.HE hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Classical radiation power from an accelerated massive charge diverges in the
zero-mass limit, while some general arguments suggest that strictly massless
charge does not not radiate at all. On the other hand, the regularized
classical radiation reaction force, though looking odd, is non-zero and finite.
To clarify this controversy, we consider radiation problem in massless scalar
quantum electrodynamics in the external magnetic field. In this framework,
synchrotron radiation is found to be non-zero, finite, and essentially quantum.
Its spectral distribution is calculated using Schwinger's proper time technique
for {\em ab initio} massless particle of zero spin. Provided $E^2\gg eH$, the
maximum in the spectrum is shown to be at $\hbar \omega=E/3$, and the average
photon energy is $4E/9$. The normalized spectrum is universal, depending
neither on $E$ nor on $H$. Quantum nature of radiation makes classical
radiation reaction equation meaningless for massless charge. Our results are
consistent with the view (supported by the renormalization group argument) that
the correct classical limit of massless quantum electrodynamics is free theory.
| [
{
"created": "Mon, 25 May 2015 22:33:07 GMT",
"version": "v1"
}
] | 2015-05-27 | [
[
"Gal'tsov",
"D. V.",
""
]
] | Classical radiation power from an accelerated massive charge diverges in the zero-mass limit, while some general arguments suggest that strictly massless charge does not not radiate at all. On the other hand, the regularized classical radiation reaction force, though looking odd, is non-zero and finite. To clarify this controversy, we consider radiation problem in massless scalar quantum electrodynamics in the external magnetic field. In this framework, synchrotron radiation is found to be non-zero, finite, and essentially quantum. Its spectral distribution is calculated using Schwinger's proper time technique for {\em ab initio} massless particle of zero spin. Provided $E^2\gg eH$, the maximum in the spectrum is shown to be at $\hbar \omega=E/3$, and the average photon energy is $4E/9$. The normalized spectrum is universal, depending neither on $E$ nor on $H$. Quantum nature of radiation makes classical radiation reaction equation meaningless for massless charge. Our results are consistent with the view (supported by the renormalization group argument) that the correct classical limit of massless quantum electrodynamics is free theory. |
hep-th/9801150 | Thordur Jonsson | Thordur Jonsson | On the width of handles in two-dimensional quantum gravity | 7 pages, 1 ps figure, latex | Phys.Lett. B425 (1998) 265-268 | 10.1016/S0370-2693(98)00242-1 | RH-19-97 | hep-th | null | We discuss the average length l of the shortest non-contractible loop on
surfaces in the two-dimensional pure quantum gravity ensemble. The value of
$\gamma_{str}$ and the explicit form of the loop functions indicate that l
diverges at the critical point. Scaling arguments suggest that the critical
exponent of l is 1/2. We show that this value of the critical exponent is also
obtained for branched polymers where the calculation is straightforward.
| [
{
"created": "Thu, 22 Jan 1998 17:18:47 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Jonsson",
"Thordur",
""
]
] | We discuss the average length l of the shortest non-contractible loop on surfaces in the two-dimensional pure quantum gravity ensemble. The value of $\gamma_{str}$ and the explicit form of the loop functions indicate that l diverges at the critical point. Scaling arguments suggest that the critical exponent of l is 1/2. We show that this value of the critical exponent is also obtained for branched polymers where the calculation is straightforward. |
2406.05593 | Allen Stern | A. Pinzul, A. Stern and Chuang Xu | Embedding Space Approach to JT Gravity | 23 pages | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We present a coordinate-free background space construction of Euclidean
Jackiw-Teitelboim gravity. It is written as a gauge theory that utilizes the
Killing vectors and conformal Killing vectors of a hyperboloid embedded in a
three dimensional background. A novel feature of the gauge theory is that
vanishing field strength does not necessarily imply that the gauge potentials
are pure gauges, not even locally. As is usual, metric tensors are dynamically
generated from the classical solutions of the theory, which here do not rely on
coordinate charts on the two-dimensional surface. We find a special class of
solutions whereby the derived metric tensor on the surface is the induced
metric from the background space. The gauge theory construction given here has
a natural generalization to a non-commutative space, which does not require the
use of coordinates, symbols or a star product.
| [
{
"created": "Sat, 8 Jun 2024 22:58:46 GMT",
"version": "v1"
}
] | 2024-06-11 | [
[
"Pinzul",
"A.",
""
],
[
"Stern",
"A.",
""
],
[
"Xu",
"Chuang",
""
]
] | We present a coordinate-free background space construction of Euclidean Jackiw-Teitelboim gravity. It is written as a gauge theory that utilizes the Killing vectors and conformal Killing vectors of a hyperboloid embedded in a three dimensional background. A novel feature of the gauge theory is that vanishing field strength does not necessarily imply that the gauge potentials are pure gauges, not even locally. As is usual, metric tensors are dynamically generated from the classical solutions of the theory, which here do not rely on coordinate charts on the two-dimensional surface. We find a special class of solutions whereby the derived metric tensor on the surface is the induced metric from the background space. The gauge theory construction given here has a natural generalization to a non-commutative space, which does not require the use of coordinates, symbols or a star product. |
1810.06540 | Martin Bojowald | Martin Bojowald, Suddhasattwa Brahma, Umut Buyukcam, Jonathan
Guglielmon, Martijn van Kuppeveld | Small magnetic charges and monopoles in non-associative quantum
mechanics | 7 pages (includes supplementary material) | Phys. Rev. Lett. 121, 201602 (2018) | 10.1103/PhysRevLett.121.201602 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Weak magnetic monopoles with a continuum of charges less than the minimum
implied by Dirac's quantization condition may be possible in non-associative
quantum mechanics. If a weakly magnetically charged proton in a hydrogen atom
perturbs the standard energy spectrum only slightly, magnetic charges could
have escaped detection. Testing this hypothesis requires entirely new methods
to compute energy spectra in non-associative quantum mechanics. Such methods
are presented here, and evaluated for upper bounds on the magnetic charge of
elementary particles.
| [
{
"created": "Mon, 15 Oct 2018 17:44:18 GMT",
"version": "v1"
}
] | 2018-11-21 | [
[
"Bojowald",
"Martin",
""
],
[
"Brahma",
"Suddhasattwa",
""
],
[
"Buyukcam",
"Umut",
""
],
[
"Guglielmon",
"Jonathan",
""
],
[
"van Kuppeveld",
"Martijn",
""
]
] | Weak magnetic monopoles with a continuum of charges less than the minimum implied by Dirac's quantization condition may be possible in non-associative quantum mechanics. If a weakly magnetically charged proton in a hydrogen atom perturbs the standard energy spectrum only slightly, magnetic charges could have escaped detection. Testing this hypothesis requires entirely new methods to compute energy spectra in non-associative quantum mechanics. Such methods are presented here, and evaluated for upper bounds on the magnetic charge of elementary particles. |
hep-th/9410209 | Jean-Bernard Zuber | V. B. Petkova and J.-B. Zuber | On Structure Constants of $sl(2)$ Theories | 32 pages | Nucl.Phys.B438:347-372,1995 | 10.1016/0550-3213(94)00594-5 | ASI-TPA/20/94, SPhT 94/113 | hep-th math.QA | null | Structure constants of minimal conformal theories are reconsidered. It is
shown that {\it ratios} of structure constants of spin zero fields of a
non-diagonal theory over the same evaluated in the diagonal theory are given by
a simple expression in terms of the components of the eigenvectors of the
adjacency matrix of the corresponding Dynkin diagram. This is proved by
inspection, which leads us to carefully determine the {\it signs} of the
structure constants that had not all appeared in the former works on the
subject. We also present a proof relying on the consideration of lattice
correlation functions and speculate on the extension of these identities to
more complicated theories.
| [
{
"created": "Thu, 27 Oct 1994 15:37:45 GMT",
"version": "v1"
}
] | 2010-11-01 | [
[
"Petkova",
"V. B.",
""
],
[
"Zuber",
"J. -B.",
""
]
] | Structure constants of minimal conformal theories are reconsidered. It is shown that {\it ratios} of structure constants of spin zero fields of a non-diagonal theory over the same evaluated in the diagonal theory are given by a simple expression in terms of the components of the eigenvectors of the adjacency matrix of the corresponding Dynkin diagram. This is proved by inspection, which leads us to carefully determine the {\it signs} of the structure constants that had not all appeared in the former works on the subject. We also present a proof relying on the consideration of lattice correlation functions and speculate on the extension of these identities to more complicated theories. |
2303.10978 | Wenliang Li | Wenliang Li | Taming Dyson-Schwinger equations with null states | v3: 5 pages, 2 figures, typos corrected, references added,
Introduction extended | null | 10.1103/PhysRevLett.131.031603 | null | hep-th hep-ph math-ph math.MP nucl-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In quantum field theory, the Dyson-Schwinger equations are an infinite set of
coupled equations relating $n$-point Green's functions in a self-consistent
manner. They have found important applications in non-perturbative studies,
ranging from quantum chromodynamics and hadron physics to strongly correlated
electron systems. However, they are notoriously formidable to solve. One of the
main problems is that a finite truncation of the infinite system is
underdetermined. Recently, Bender et al. [Phys. Rev. Lett. 130, 101602 (2023)]
proposed to make use of the large-$n$ asymptotic behaviors and successfully
obtained accurate results in $D=0$ spacetime. At higher $D$, it seems more
difficult to deduce the large-$n$ behaviors. In this paper, we propose another
avenue in light of the null bootstrap. The underdetermined system is solved by
imposing the null state condition. This approach can be extended to $D>0$ more
readily. As concrete examples, we show that the cases of $D=0$ and $D=1$ indeed
converge to the exact results for several Hermitian and non-Hermitian theories
of the $g\phi^n$ type, including the complex solutions.
| [
{
"created": "Mon, 20 Mar 2023 10:04:43 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Mar 2023 10:02:25 GMT",
"version": "v2"
},
{
"created": "Fri, 21 Jul 2023 23:33:33 GMT",
"version": "v3"
}
] | 2023-07-25 | [
[
"Li",
"Wenliang",
""
]
] | In quantum field theory, the Dyson-Schwinger equations are an infinite set of coupled equations relating $n$-point Green's functions in a self-consistent manner. They have found important applications in non-perturbative studies, ranging from quantum chromodynamics and hadron physics to strongly correlated electron systems. However, they are notoriously formidable to solve. One of the main problems is that a finite truncation of the infinite system is underdetermined. Recently, Bender et al. [Phys. Rev. Lett. 130, 101602 (2023)] proposed to make use of the large-$n$ asymptotic behaviors and successfully obtained accurate results in $D=0$ spacetime. At higher $D$, it seems more difficult to deduce the large-$n$ behaviors. In this paper, we propose another avenue in light of the null bootstrap. The underdetermined system is solved by imposing the null state condition. This approach can be extended to $D>0$ more readily. As concrete examples, we show that the cases of $D=0$ and $D=1$ indeed converge to the exact results for several Hermitian and non-Hermitian theories of the $g\phi^n$ type, including the complex solutions. |
hep-th/9704093 | Ricardo Medina | R. Medina, N. Berkovits | Pasti-Sorokin-Tonin Actions in the Presence of Sources | 6 pages, LaTeX | Phys.Rev. D56 (1997) 6388-6390 | 10.1103/PhysRevD.56.6388 | IFT-P.030/97 | hep-th | null | Pasti, Sorokin and Tonin have recently constructed manifestly
Lorentz-invariant actions for self-dual field strengths and for Maxwell fields
with manifest electromagnetic duality. Using the method of Deser, Gomberoff,
Henneaux and Teitelboim, we generalize these actions in the presence of
sources.
| [
{
"created": "Fri, 11 Apr 1997 19:11:32 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Medina",
"R.",
""
],
[
"Berkovits",
"N.",
""
]
] | Pasti, Sorokin and Tonin have recently constructed manifestly Lorentz-invariant actions for self-dual field strengths and for Maxwell fields with manifest electromagnetic duality. Using the method of Deser, Gomberoff, Henneaux and Teitelboim, we generalize these actions in the presence of sources. |
hep-th/9310057 | C. P. Staszkiewicz | B. Schroer | Modular Theory and Symmetry in QFT | 35 pages, LaTeX | null | null | null | hep-th | null | The application of the Tomita-Takesaki modular theory to the Haag-Kastler net
approach in QFT yields external (space-time) symmetries as well as internal
ones (internal ``gauge para-groups") and their dual counterparts (the ``super
selection para-group"). An attempt is made to develop a (speculative) picture
on ``quantum symmetry" which links space-time symmetries in an inexorable way
with internal symmetries. In the course of this attempt, we present several
theorems and in particular derive the Kac-Wakimoto formula which links Jones
inclusion indices with the asymptotics of expectation values in physical
temperature states. This formula is a special case of a new asymptotic
Gibbs-state representation of mapping class group matrices (in a Haag-Kastler
net indexed by intervals on the circle!) as well as braid group matrices.
| [
{
"created": "Mon, 11 Oct 1993 15:33:23 GMT",
"version": "v1"
},
{
"created": "Sun, 17 Oct 1993 11:20:38 GMT",
"version": "v2"
},
{
"created": "Wed, 27 Oct 1993 10:24:13 GMT",
"version": "v3"
}
] | 2008-02-03 | [
[
"Schroer",
"B.",
""
]
] | The application of the Tomita-Takesaki modular theory to the Haag-Kastler net approach in QFT yields external (space-time) symmetries as well as internal ones (internal ``gauge para-groups") and their dual counterparts (the ``super selection para-group"). An attempt is made to develop a (speculative) picture on ``quantum symmetry" which links space-time symmetries in an inexorable way with internal symmetries. In the course of this attempt, we present several theorems and in particular derive the Kac-Wakimoto formula which links Jones inclusion indices with the asymptotics of expectation values in physical temperature states. This formula is a special case of a new asymptotic Gibbs-state representation of mapping class group matrices (in a Haag-Kastler net indexed by intervals on the circle!) as well as braid group matrices. |
0810.1786 | In\'es Cavero-Pel\'aez | Ines Cavero-Pelaez, Kimball A. Milton, Prachi Parashar and K.V.
Shajesh | Lateral Casimir forces on parallel plates and concentric cylinders with
corugations | 15 pages. 60 Years of the Casimir effect. Brasilia, June 2008 | J.Phys.Conf.Ser.161:012008,2009 | 10.1088/1742-6596/161/1/012008 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we are giving a quantitative description of two different
configurations for noncontact gears. We consider the solutions from a
perturbative calculation for two semitransparent parallel plates and concentric
cylinders both with corrugations on the inner surfaces. In the case of
corrugated parallel plates we discuss results from first- and second-order
perturbation calculation in the corrugation amplitudes and we will concentrate
on the first-order perturbation for the case of the corrugated concentric
cylinders (the second order calculation is under study), both for the weak and
strong couplings. We compare the perturbative results with the results from the
PFA and an exact weak coupling calculation.
| [
{
"created": "Fri, 10 Oct 2008 00:16:36 GMT",
"version": "v1"
}
] | 2010-04-30 | [
[
"Cavero-Pelaez",
"Ines",
""
],
[
"Milton",
"Kimball A.",
""
],
[
"Parashar",
"Prachi",
""
],
[
"Shajesh",
"K. V.",
""
]
] | In this paper we are giving a quantitative description of two different configurations for noncontact gears. We consider the solutions from a perturbative calculation for two semitransparent parallel plates and concentric cylinders both with corrugations on the inner surfaces. In the case of corrugated parallel plates we discuss results from first- and second-order perturbation calculation in the corrugation amplitudes and we will concentrate on the first-order perturbation for the case of the corrugated concentric cylinders (the second order calculation is under study), both for the weak and strong couplings. We compare the perturbative results with the results from the PFA and an exact weak coupling calculation. |
hep-th/0302130 | Tomy Scaria | Tomy Scaria | Translational groups as generators of gauge transformations | Latex, 20 pages, no figures, Version to appear in Physical Review D | Phys.Rev. D68 (2003) 105013 | 10.1103/PhysRevD.68.105013 | null | hep-th | null | We examine the gauge generating nature of the translational subgroup of
Wigner's little group for the case of massless tensor gauge theories and show
that the gauge transformations generated by the translational group is only a
subset of the complete set of gauge transformations. We also show that, just
like the case of topologically massive gauge theories, translational groups act
as generators of gauge transformations in gauge theories obtained by extending
massive gauge noninvariant theories by a Stuckelberg mechanism. The
representations of the translational groups that generate gauge transformations
in such Stuckelberg extended theories can be obtained by the method of
dimensional descent. We illustrate these with the examples of Stuckelberg
extended first class versions of Proca, Einstein-Pauli-Fierz and massive
Kalb-Ramond theories in 3+1 dimensions. A detailed analysis of the partial
gauge generation in massive and massless 2nd rank symmetric gauge theories is
provided. The gauge transformations generated by translational group in 2-form
gauge theories are shown to explicitly manifest the reducibility of gauge
transformations in these theories.
| [
{
"created": "Mon, 17 Feb 2003 10:36:40 GMT",
"version": "v1"
},
{
"created": "Sun, 23 Feb 2003 12:59:24 GMT",
"version": "v2"
},
{
"created": "Sat, 2 Aug 2003 12:39:19 GMT",
"version": "v3"
},
{
"created": "Mon, 25 Aug 2003 05:54:09 GMT",
"version": "v4"
}
] | 2009-11-10 | [
[
"Scaria",
"Tomy",
""
]
] | We examine the gauge generating nature of the translational subgroup of Wigner's little group for the case of massless tensor gauge theories and show that the gauge transformations generated by the translational group is only a subset of the complete set of gauge transformations. We also show that, just like the case of topologically massive gauge theories, translational groups act as generators of gauge transformations in gauge theories obtained by extending massive gauge noninvariant theories by a Stuckelberg mechanism. The representations of the translational groups that generate gauge transformations in such Stuckelberg extended theories can be obtained by the method of dimensional descent. We illustrate these with the examples of Stuckelberg extended first class versions of Proca, Einstein-Pauli-Fierz and massive Kalb-Ramond theories in 3+1 dimensions. A detailed analysis of the partial gauge generation in massive and massless 2nd rank symmetric gauge theories is provided. The gauge transformations generated by translational group in 2-form gauge theories are shown to explicitly manifest the reducibility of gauge transformations in these theories. |
2110.14647 | Sakura Schafer-Nameki | Fabio Apruzzi, Lakshya Bhardwaj, Dewi S.W. Gould, Sakura
Schafer-Nameki | 2-Group Symmetries and their Classification in 6d | 61 pages, 1 ancillary mathematica code, v2: references and type 3'
added | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We uncover 2-group symmetries in 6d superconformal field theories. These
symmetries arise when the discrete 1-form symmetry and continuous flavor
symmetry group of a theory mix with each other. We classify all 6d
superconformal field theories with such 2-group symmetries. The approach taken
in 6d is applicable more generally, with minor modifications to include
dimension specific operators (such as instantons in 5d and monopoles in 3d),
and we provide a discussion of the dimension-independent aspects of the
analysis. We include an ancillary mathematica code for computing 2-group
symmetries, once the dimension specific input is provided. We also discuss a
mixed 't Hooft anomaly between discrete 0-form and 1-form symmetries in 6d.
| [
{
"created": "Wed, 27 Oct 2021 18:00:00 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Nov 2021 09:55:29 GMT",
"version": "v2"
}
] | 2021-11-05 | [
[
"Apruzzi",
"Fabio",
""
],
[
"Bhardwaj",
"Lakshya",
""
],
[
"Gould",
"Dewi S. W.",
""
],
[
"Schafer-Nameki",
"Sakura",
""
]
] | We uncover 2-group symmetries in 6d superconformal field theories. These symmetries arise when the discrete 1-form symmetry and continuous flavor symmetry group of a theory mix with each other. We classify all 6d superconformal field theories with such 2-group symmetries. The approach taken in 6d is applicable more generally, with minor modifications to include dimension specific operators (such as instantons in 5d and monopoles in 3d), and we provide a discussion of the dimension-independent aspects of the analysis. We include an ancillary mathematica code for computing 2-group symmetries, once the dimension specific input is provided. We also discuss a mixed 't Hooft anomaly between discrete 0-form and 1-form symmetries in 6d. |
hep-th/9311133 | Cenalo Vaz | Cenalo Vaz and Louis Witten | Formation and Evaporation of a Naked Singularity in 2D Gravity | 10 pages, PHYZZX, preprint UATP-93/04 | Phys.Lett. B325 (1994) 27-32 | 10.1016/0370-2693(94)90066-3 | null | hep-th gr-qc | null | We describe a classical configuration of conformal matter forming a naked
singularity and discuss its subsequent Hawking evaporation within the context
of two dimensional dilaton gravity. The one loop analysis is credible for a
large mass naked singularity and suggests the existence of a weak cosmological
censorship that would cause it to explode into radiation upon forming.
(Hardcopies of figures available on request)
| [
{
"created": "Mon, 22 Nov 1993 19:23:45 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Vaz",
"Cenalo",
""
],
[
"Witten",
"Louis",
""
]
] | We describe a classical configuration of conformal matter forming a naked singularity and discuss its subsequent Hawking evaporation within the context of two dimensional dilaton gravity. The one loop analysis is credible for a large mass naked singularity and suggests the existence of a weak cosmological censorship that would cause it to explode into radiation upon forming. (Hardcopies of figures available on request) |
hep-th/0502192 | Subir Ghosh | Subir Ghosh and Probir Pal | $\kappa$-Minkowski Spacetime Through Exotic "Oscillator" | Revised and enlarged version, Section on symmetry properties
included, Reference section and general background expanded, no changes in
math. part and conclusions, to appear in Phys.Lett.B | Phys.Lett.B618:243-251,2005 | 10.1016/j.physletb.2005.05.018 | null | hep-th | null | We have proposed a generally covariant non-relativistic particle model that
can represent the $\kappa$-Minkowski noncommutative spacetime. The idea is
similar in spirit to the noncommutative particle coordinates in the lowest
Landau level. Physically our model yields a novel type of dynamical system,
(termed here as Exotic "Oscillator"), that obeys a
Harmonic Oscillator like equation of motion with a {\it{frequency}} that is
proportional to the square root of {\it{energy}}. On the other hand, the phase
diagram does not reveal a closed structure since there is a singularity in the
momentum even though energy remains finite. The generally covariant form is
related to a generalization of the Snyder algebra in a specific gauge and
yields the $\kappa $-Minkowski spacetime after a redefinition of the variables.
Symmetry considerations are also briefly discussed in the Hamiltonian
formulation. Regarding continuous symmetry, the angular momentum acts properly
as the generator of rotation. Interestingly, both the discrete symmetries,
parity and time reversal, remain intact in the $\kappa$-Minkowski spacetime.
| [
{
"created": "Tue, 22 Feb 2005 05:28:33 GMT",
"version": "v1"
},
{
"created": "Tue, 10 May 2005 08:47:32 GMT",
"version": "v2"
}
] | 2016-09-06 | [
[
"Ghosh",
"Subir",
""
],
[
"Pal",
"Probir",
""
]
] | We have proposed a generally covariant non-relativistic particle model that can represent the $\kappa$-Minkowski noncommutative spacetime. The idea is similar in spirit to the noncommutative particle coordinates in the lowest Landau level. Physically our model yields a novel type of dynamical system, (termed here as Exotic "Oscillator"), that obeys a Harmonic Oscillator like equation of motion with a {\it{frequency}} that is proportional to the square root of {\it{energy}}. On the other hand, the phase diagram does not reveal a closed structure since there is a singularity in the momentum even though energy remains finite. The generally covariant form is related to a generalization of the Snyder algebra in a specific gauge and yields the $\kappa $-Minkowski spacetime after a redefinition of the variables. Symmetry considerations are also briefly discussed in the Hamiltonian formulation. Regarding continuous symmetry, the angular momentum acts properly as the generator of rotation. Interestingly, both the discrete symmetries, parity and time reversal, remain intact in the $\kappa$-Minkowski spacetime. |
hep-th/0011159 | S. Shankaranarayanan | T. Padmanabhan, S. Shankaranarayanan (IUCAA, Pune) | Vanishing of cosmological constant in nonfactorizable geometry | 8 Pages(expanded version), Accepted in Phys. Rev. D | Phys.Rev. D63 (2001) 105021 | 10.1103/PhysRevD.63.105021 | IUCAA - 44/2000 | hep-th gr-qc hep-ph | null | We generalize the results of Randall and Sundrum to a wider class of
four-dimensional space-times including the four-dimensional Schwarzschild
background and de Sitter universe. We solve the equation for graviton
propagation in a general four dimensional background and find an explicit
solution for a zero mass bound state of the graviton. We find that this zero
mass bound state is normalizable only if the cosmological constant is strictly
zero, thereby providing a dynamical reason for the vanishing of cosmological
constant within the context of this model. We also show that the results of
Randall and Sundrum can be generalized without any modification to the
Schwarzschild background.
| [
{
"created": "Fri, 17 Nov 2000 10:15:05 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Mar 2001 19:34:47 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Padmanabhan",
"T.",
"",
"IUCAA, Pune"
],
[
"Shankaranarayanan",
"S.",
"",
"IUCAA, Pune"
]
] | We generalize the results of Randall and Sundrum to a wider class of four-dimensional space-times including the four-dimensional Schwarzschild background and de Sitter universe. We solve the equation for graviton propagation in a general four dimensional background and find an explicit solution for a zero mass bound state of the graviton. We find that this zero mass bound state is normalizable only if the cosmological constant is strictly zero, thereby providing a dynamical reason for the vanishing of cosmological constant within the context of this model. We also show that the results of Randall and Sundrum can be generalized without any modification to the Schwarzschild background. |
1808.00482 | Nicola Andrea Dondi | Oleg Antipin and Nicola Andrea Dondi and Francesco Sannino and Anders
Eller Thomsen | $a$-theorem at large $N_f$ | 5 pages, 2 figures - references updated, typos corrected | Phys. Rev. D 99, 025004 (2019) | 10.1103/PhysRevD.99.025004 | CP3-Origins-2018-28 DNRF90 | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We determine the Jack and Osborn a-function and related metric for
gauge-fermion theories to leading order in the large number of fermions and to
all orders in the gauge coupling, demonstrating that the strong a-theorem is
violated for the minimal choice of the a-function.
| [
{
"created": "Wed, 1 Aug 2018 18:01:11 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Dec 2018 17:55:21 GMT",
"version": "v2"
}
] | 2019-01-16 | [
[
"Antipin",
"Oleg",
""
],
[
"Dondi",
"Nicola Andrea",
""
],
[
"Sannino",
"Francesco",
""
],
[
"Thomsen",
"Anders Eller",
""
]
] | We determine the Jack and Osborn a-function and related metric for gauge-fermion theories to leading order in the large number of fermions and to all orders in the gauge coupling, demonstrating that the strong a-theorem is violated for the minimal choice of the a-function. |
hep-th/0111107 | Paolo Creminelli | Paolo Creminelli | Holography of asymmetrically warped space-times | 10 pages, no figure. v3: final version to appear in PLB | Phys.Lett. B532 (2002) 284-290 | 10.1016/S0370-2693(02)01562-9 | CERN-TH/2001-314 | hep-th gr-qc hep-ph | null | We study the holographic dual of asymmetrically warped space-times, which are
asymptotically AdS. The self-tuning of the cosmological constant is
reinterpreted as a cancellation of the visible sector stress-energy tensor by
the contribution of a hidden CFT, charged under a spontaneously broken global
symmetry. The apparent violation of 4D causality due to bulk geodesics is
justified by considering that the CFT feels the background metric as smeared
out over a length of the order of the AdS radius.
| [
{
"created": "Mon, 12 Nov 2001 18:09:16 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Dec 2001 11:36:10 GMT",
"version": "v2"
},
{
"created": "Sat, 9 Mar 2002 11:25:55 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Creminelli",
"Paolo",
""
]
] | We study the holographic dual of asymmetrically warped space-times, which are asymptotically AdS. The self-tuning of the cosmological constant is reinterpreted as a cancellation of the visible sector stress-energy tensor by the contribution of a hidden CFT, charged under a spontaneously broken global symmetry. The apparent violation of 4D causality due to bulk geodesics is justified by considering that the CFT feels the background metric as smeared out over a length of the order of the AdS radius. |
1810.01431 | Mehrdad Mirbabayi | Mehrdad Mirbabayi | Topology of Cosmological Black Holes | JCAP version, 30 pages, 6 figures, our definition of black holes and
apparent horizons in cosmology has been clarified | null | 10.1088/1475-7516/2020/05/029 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Motivated by the question of how generic inflation is, I study the
time-evolution of topological surfaces in an inhomogeneous cosmology with
positive cosmological constant $\Lambda$. If matter fields satisfy the Weak
Energy Condition, non-spherical incompressible surfaces of least area are shown
to expand at least exponentially, with rate $d \log A_{\rm min}/d\lambda \geq
8\pi G_N\Lambda$, under the mean curvature flow parametrized by $\lambda$. With
reasonable assumptions about the nature of singularities this restricts the
topology of black holes: (a) no trapped surface or apparent horizon can be a
non-spherical, incompressible surface, and (b) the interior of black holes
cannot contain any such surface.
| [
{
"created": "Tue, 2 Oct 2018 18:01:49 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Jan 2019 19:01:31 GMT",
"version": "v2"
},
{
"created": "Mon, 11 May 2020 00:34:12 GMT",
"version": "v3"
}
] | 2020-05-20 | [
[
"Mirbabayi",
"Mehrdad",
""
]
] | Motivated by the question of how generic inflation is, I study the time-evolution of topological surfaces in an inhomogeneous cosmology with positive cosmological constant $\Lambda$. If matter fields satisfy the Weak Energy Condition, non-spherical incompressible surfaces of least area are shown to expand at least exponentially, with rate $d \log A_{\rm min}/d\lambda \geq 8\pi G_N\Lambda$, under the mean curvature flow parametrized by $\lambda$. With reasonable assumptions about the nature of singularities this restricts the topology of black holes: (a) no trapped surface or apparent horizon can be a non-spherical, incompressible surface, and (b) the interior of black holes cannot contain any such surface. |
hep-th/9212116 | Michael Martin Nieto | Michael Martin Nieto | Coherent States and Squeezed States, Supercoherent States and
Supersqueezed States | 10 pages, LaTeX | On Klauderâs Path: A Field Trip, ed. G. G. Emch, G. C. Hegerfeldt,
and L. Streit (World Sci., 1994) 147 | null | Los Alamos Preprint LAUR-92-1284 | hep-th | null | This article reports on a program to obtain and understand coherent states
for general systems. Most recently this has included supersymmetric systems. A
byproduct of this work has been studies of squeezed and supersqueezed states.
To obtain a physical understanding of these systems has always been a primary
goal. In particular, in the work on supersymmetry an attempt to understand the
role of Grassmann numbers in quantum mechanics has been initiated.
| [
{
"created": "Fri, 18 Dec 1992 17:59:32 GMT",
"version": "v1"
}
] | 2016-10-03 | [
[
"Nieto",
"Michael Martin",
""
]
] | This article reports on a program to obtain and understand coherent states for general systems. Most recently this has included supersymmetric systems. A byproduct of this work has been studies of squeezed and supersqueezed states. To obtain a physical understanding of these systems has always been a primary goal. In particular, in the work on supersymmetry an attempt to understand the role of Grassmann numbers in quantum mechanics has been initiated. |
2011.04664 | Shouvik Datta | Pawel Caputa, Shouvik Datta, Yunfeng Jiang, Per Kraus | Geometrizing $T\bar{T}$ | v2: 28 pages, published version | JHEP 03 (2021) 140 | 10.1007/JHEP03(2021)140 | CERN-TH-2020-188 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The $T\bar{T}$ deformation can be formulated as a dynamical change of
coordinates. We establish and generalize this relation to curved spaces by
coupling the undeformed theory to 2d gravity. For curved space the dynamical
change of coordinates is supplemented by a dynamical Weyl transformation. We
also sharpen the holographic correspondence to cutoff AdS$_3$ in multiple ways.
First, we show that the action of the annular region between the cutoff surface
and the boundary of AdS$_3$ is given precisely by the $T\bar{T}$ operator
integrated over either the cutoff surface or the asymptotic boundary. Then we
derive dynamical coordinate and Weyl transformations directly from the bulk.
Finally, we reproduce the flow equation for the deformed stress tensor from the
cutoff geometry.
| [
{
"created": "Mon, 9 Nov 2020 19:00:01 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Mar 2021 07:55:43 GMT",
"version": "v2"
}
] | 2021-03-18 | [
[
"Caputa",
"Pawel",
""
],
[
"Datta",
"Shouvik",
""
],
[
"Jiang",
"Yunfeng",
""
],
[
"Kraus",
"Per",
""
]
] | The $T\bar{T}$ deformation can be formulated as a dynamical change of coordinates. We establish and generalize this relation to curved spaces by coupling the undeformed theory to 2d gravity. For curved space the dynamical change of coordinates is supplemented by a dynamical Weyl transformation. We also sharpen the holographic correspondence to cutoff AdS$_3$ in multiple ways. First, we show that the action of the annular region between the cutoff surface and the boundary of AdS$_3$ is given precisely by the $T\bar{T}$ operator integrated over either the cutoff surface or the asymptotic boundary. Then we derive dynamical coordinate and Weyl transformations directly from the bulk. Finally, we reproduce the flow equation for the deformed stress tensor from the cutoff geometry. |
2111.13190 | Gabriel Cardoso | Pedro Aniceto, Gabriel Lopes Cardoso, Suresh Nampuri | Observations on holographic aspects of four-dimensional asymptotically
flat ${\cal N}=2$ black holes | 38 pages; v2: reference added; v3: published version | JHEP 05 (2022) 142 | 10.1007/JHEP05(2022)142 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note, we explore holographic attributes of four-dimensional
near-extremal Reissner-Nordstrom black hole solutions in ungauged ${\cal N}=2$
supergravity theories at the two-derivative level by recasting them as a
specific first-order deformation in solution space, associated with an
infinitesimal Harrison transformation, of black holes in an $AdS_2$ space-time.
Specifically, we use this link to exhibit how bulk properties, such as mass and
entropy, of four-dimensional near-extremal black holes are holographically
encoded in the one-dimensional boundary theory dual to gravity in an
infinitesimally deformed $AdS_2$ space-time. We do so for the case of
four-dimensional near-extremal black holes that arise as deformations in
solution space of BPS black holes by changing the non-extremality parameter.
For these near-extremal black holes, we further show that the nAdS$_2$
attractor mechanism can be recast as a specific deformation of the BPS flow
equations in four dimensions. Additionally, we also discuss time-dependent
perturbations of the four-dimensional near-extremal Reissner-Nordstrom
solutions from a two-dimensional point of view.
| [
{
"created": "Thu, 25 Nov 2021 17:48:35 GMT",
"version": "v1"
},
{
"created": "Sun, 12 Dec 2021 22:55:32 GMT",
"version": "v2"
},
{
"created": "Tue, 24 May 2022 14:40:07 GMT",
"version": "v3"
}
] | 2022-05-25 | [
[
"Aniceto",
"Pedro",
""
],
[
"Cardoso",
"Gabriel Lopes",
""
],
[
"Nampuri",
"Suresh",
""
]
] | In this note, we explore holographic attributes of four-dimensional near-extremal Reissner-Nordstrom black hole solutions in ungauged ${\cal N}=2$ supergravity theories at the two-derivative level by recasting them as a specific first-order deformation in solution space, associated with an infinitesimal Harrison transformation, of black holes in an $AdS_2$ space-time. Specifically, we use this link to exhibit how bulk properties, such as mass and entropy, of four-dimensional near-extremal black holes are holographically encoded in the one-dimensional boundary theory dual to gravity in an infinitesimally deformed $AdS_2$ space-time. We do so for the case of four-dimensional near-extremal black holes that arise as deformations in solution space of BPS black holes by changing the non-extremality parameter. For these near-extremal black holes, we further show that the nAdS$_2$ attractor mechanism can be recast as a specific deformation of the BPS flow equations in four dimensions. Additionally, we also discuss time-dependent perturbations of the four-dimensional near-extremal Reissner-Nordstrom solutions from a two-dimensional point of view. |
hep-th/0610235 | Gary Shiu | Xingang Chen, Min-xin Huang and Gary Shiu | The Inflationary Trispectrum for Models with Large Non-Gaussianities | v2: 5 pages, journal version. v3, v4: formulae for the momentum
dependence of trispectrum corrected, main conclusions remain unchanged, this
version supersedes the journal version. v5: minor revision with an added
reference | Phys.Rev.D74:121301,2006 | 10.1103/PhysRevD.74.121301 | MAD-TH-06-9 | hep-th astro-ph hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the leading order contribution to the four-point function of the
primordial curvature perturbation in a class of single field models where the
inflationary Lagrangian is a general function of the inflaton and its first
derivative. This class of models includes string motivated inflationary models
such as DBI inflation. We find that the trispectrum for some range of
parameters could potentially be observed in future experiments. Moreover, the
trispectrum can distinguish DBI inflation from other inflation models with
large non-Gaussianities which typically have a similar bispectrum. We also
derive a set of consistency conditions for n-point functions of the primordial
curvature perturbation in single field inflation, generalizing Maldacena's
result for 3-point functions.
| [
{
"created": "Sun, 22 Oct 2006 05:29:53 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Jan 2007 16:52:35 GMT",
"version": "v2"
},
{
"created": "Tue, 30 Sep 2008 13:56:21 GMT",
"version": "v3"
},
{
"created": "Fri, 3 Oct 2008 15:28:42 GMT",
"version": "v4"
},
{
"cre... | 2008-12-04 | [
[
"Chen",
"Xingang",
""
],
[
"Huang",
"Min-xin",
""
],
[
"Shiu",
"Gary",
""
]
] | We compute the leading order contribution to the four-point function of the primordial curvature perturbation in a class of single field models where the inflationary Lagrangian is a general function of the inflaton and its first derivative. This class of models includes string motivated inflationary models such as DBI inflation. We find that the trispectrum for some range of parameters could potentially be observed in future experiments. Moreover, the trispectrum can distinguish DBI inflation from other inflation models with large non-Gaussianities which typically have a similar bispectrum. We also derive a set of consistency conditions for n-point functions of the primordial curvature perturbation in single field inflation, generalizing Maldacena's result for 3-point functions. |
0708.0636 | Joaquin Diaz-Alonso | Joaquin Diaz-Alonso, Diego Rubiera-Garcia | Generalized gauge field theories with non-topological soliton solutions | 6 pages, revtex4 | Phys.Lett.B657:257-262,2007 | 10.1016/j.physletb.2007.08.093 | null | hep-th | null | We perform a systematic analysis of the conditions under which
\textit{generalized} gauge field theories of compact semisimple Lie groups
exhibit electrostatic spherically symmetric non-topological soliton solutions
in three space dimensions. By the term \textit{generalized}, we mean that the
dynamics of the concerned fields is governed by lagrangian densities which are
general functions of the quadratic field invariants, leading to physically
consistent models. The analysis defines exhaustively the class of this kind of
lagrangian models supporting those soliton solutions and leads to methods for
their explicit determination. The necessary and sufficient conditions for the
linear stability of the finite-energy solutions against charge-preserving
perturbations are established, going beyond the usual Derrick-like criteria,
which only provides necessary conditions.
| [
{
"created": "Sat, 4 Aug 2007 16:37:22 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Diaz-Alonso",
"Joaquin",
""
],
[
"Rubiera-Garcia",
"Diego",
""
]
] | We perform a systematic analysis of the conditions under which \textit{generalized} gauge field theories of compact semisimple Lie groups exhibit electrostatic spherically symmetric non-topological soliton solutions in three space dimensions. By the term \textit{generalized}, we mean that the dynamics of the concerned fields is governed by lagrangian densities which are general functions of the quadratic field invariants, leading to physically consistent models. The analysis defines exhaustively the class of this kind of lagrangian models supporting those soliton solutions and leads to methods for their explicit determination. The necessary and sufficient conditions for the linear stability of the finite-energy solutions against charge-preserving perturbations are established, going beyond the usual Derrick-like criteria, which only provides necessary conditions. |
1506.07422 | Dmitry Sergeevich Kaparulin | D.S. Kaparulin and S.L. Lyakhovich | Energy and stability of Pais-Uhlenbeck oscillator | A contribution to the Proceedings of the XXXIII Workshop on the
Geometric Methods in Physics, 8 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study stability of higher-derivative dynamics from the viewpoint of more
general correspondence between symmetries and conservation laws established by
the Lagrange anchor. We show that classical and quantum stability may be
provided if a higher-derivative model admits a bounded from below integral of
motion and the Lagrange anchor that relates this integral to the time
translation.
| [
{
"created": "Wed, 24 Jun 2015 15:30:01 GMT",
"version": "v1"
}
] | 2015-06-25 | [
[
"Kaparulin",
"D. S.",
""
],
[
"Lyakhovich",
"S. L.",
""
]
] | We study stability of higher-derivative dynamics from the viewpoint of more general correspondence between symmetries and conservation laws established by the Lagrange anchor. We show that classical and quantum stability may be provided if a higher-derivative model admits a bounded from below integral of motion and the Lagrange anchor that relates this integral to the time translation. |
0910.2762 | Taizan Watari | Hirotaka Hayashi, Teruhiko Kawano, Yoichi Tsuchiya and Taizan Watari | Flavor Structure in F-theory Compactifications | 148 pages | JHEP 1008:036,2010 | 10.1007/JHEP08(2010)036 | UT-09-23, IPMU09-0125 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | F-theory is one of frameworks in string theory where supersymmetric grand
unification is accommodated, and all the Yukawa couplings and Majorana masses
of right-handed neutrinos are generated. Yukawa couplings of charged fermions
are generated at codimension-3 singularities, and a contribution from a given
singularity point is known to be approximately rank 1. Thus, the approximate
rank of Yukawa matrices in low-energy effective theory of generic F-theory
compactifications are minimum of either the number of generations N_gen = 3 or
the number of singularity points of certain types. If there is a geometry with
only one E_6 type point and one D_6 type point over the entire 7-brane for
SU(5) gauge fields, F-theory compactified on such a geometry would reproduce
approximately rank-1 Yukawa matrices in the real world. We found, however, that
there is no such geometry. Thus, it is a problem how to generate hierarchical
Yukawa eigenvalues in F-theory compactifications. A solution in the literature
so far is to take an appropriate factorization limit. In this article, we
propose an alternative solution to the hierarchical structure problem (which
requires to tune some parameters) by studying how zero mode wavefunctions
depend on complex structure moduli. In this solution, the N_gen x N_gen CKM
matrix is predicted to have only N_gen entries of order unity without an extra
tuning of parameters, and the lepton flavor anarchy is predicted for the lepton
mixing matrix. We also obtained a precise description of zero mode
wavefunctions near the E_6 type singularity points, where the up-type Yukawa
couplings are generated.
| [
{
"created": "Thu, 15 Oct 2009 18:10:43 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Oct 2009 13:59:24 GMT",
"version": "v2"
},
{
"created": "Tue, 27 Oct 2009 23:09:37 GMT",
"version": "v3"
}
] | 2014-11-20 | [
[
"Hayashi",
"Hirotaka",
""
],
[
"Kawano",
"Teruhiko",
""
],
[
"Tsuchiya",
"Yoichi",
""
],
[
"Watari",
"Taizan",
""
]
] | F-theory is one of frameworks in string theory where supersymmetric grand unification is accommodated, and all the Yukawa couplings and Majorana masses of right-handed neutrinos are generated. Yukawa couplings of charged fermions are generated at codimension-3 singularities, and a contribution from a given singularity point is known to be approximately rank 1. Thus, the approximate rank of Yukawa matrices in low-energy effective theory of generic F-theory compactifications are minimum of either the number of generations N_gen = 3 or the number of singularity points of certain types. If there is a geometry with only one E_6 type point and one D_6 type point over the entire 7-brane for SU(5) gauge fields, F-theory compactified on such a geometry would reproduce approximately rank-1 Yukawa matrices in the real world. We found, however, that there is no such geometry. Thus, it is a problem how to generate hierarchical Yukawa eigenvalues in F-theory compactifications. A solution in the literature so far is to take an appropriate factorization limit. In this article, we propose an alternative solution to the hierarchical structure problem (which requires to tune some parameters) by studying how zero mode wavefunctions depend on complex structure moduli. In this solution, the N_gen x N_gen CKM matrix is predicted to have only N_gen entries of order unity without an extra tuning of parameters, and the lepton flavor anarchy is predicted for the lepton mixing matrix. We also obtained a precise description of zero mode wavefunctions near the E_6 type singularity points, where the up-type Yukawa couplings are generated. |
hep-th/9909145 | Delius | E. Corrigan and G.W. Delius | Boundary breathers in the sinh-Gordon model | 16 pages amslatex | J.Phys.A32:8601-8614,1999 | 10.1088/0305-4470/32/49/303 | null | hep-th nlin.SI solv-int | null | We present an investigation of the boundary breather states of the
sinh-Gordon model restricted to a half-line. The classical boundary breathers
are presented for a two parameter family of integrable boundary conditions.
Restricting to the case of boundary conditions which preserve the \phi -->
-\phi symmetry of the bulk theory, the energy spectrum of the boundary states
is computed in two ways: firstly, by using the bootstrap technique and
subsequently, by using a WKB approximation. Requiring that the two descriptions
of the spectrum agree with each other allows a determination of the
relationship between the boundary parameter, the bulk coupling constant, and
the parameter appearing in the reflection factor derived by Ghoshal to describe
the scattering of the sinh-Gordon particle from the boundary.
| [
{
"created": "Tue, 21 Sep 1999 20:48:04 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Corrigan",
"E.",
""
],
[
"Delius",
"G. W.",
""
]
] | We present an investigation of the boundary breather states of the sinh-Gordon model restricted to a half-line. The classical boundary breathers are presented for a two parameter family of integrable boundary conditions. Restricting to the case of boundary conditions which preserve the \phi --> -\phi symmetry of the bulk theory, the energy spectrum of the boundary states is computed in two ways: firstly, by using the bootstrap technique and subsequently, by using a WKB approximation. Requiring that the two descriptions of the spectrum agree with each other allows a determination of the relationship between the boundary parameter, the bulk coupling constant, and the parameter appearing in the reflection factor derived by Ghoshal to describe the scattering of the sinh-Gordon particle from the boundary. |
0707.1416 | Finelli Fabio | F. Finelli, G. Marozzi, G. P. Vacca, G. Venturi | The Impact of Ultraviolet Regularization on the Spectrum of Curvature
Perturbations During Inflation | 7 pages, 4 figures | Phys.Rev.D76:103528,2007 | 10.1103/PhysRevD.76.103528 | null | hep-th astro-ph | null | Inflationary predictions based on the linear theory of cosmological
perturbations are related to the two point function of a (second quantized)
real scalar free field during the accelerated stage. Such a two point function
is finite, in contrast with its coincidence limit, which is divergent due to
the ultraviolet divergences proper of field theory. We therefore argue that
predictions of most of the inflationary models do not necessarily need a
regularization scheme to leading order, i.e. tree level, which is required
instead for non-linear corrections or calculations involving the
energy-momentum tensor. We also discuss unpleasant features of the "would be"
regularized spectrum obtained using the traditional fourth order adiabatic
subtraction.
| [
{
"created": "Tue, 10 Jul 2007 15:46:25 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Finelli",
"F.",
""
],
[
"Marozzi",
"G.",
""
],
[
"Vacca",
"G. P.",
""
],
[
"Venturi",
"G.",
""
]
] | Inflationary predictions based on the linear theory of cosmological perturbations are related to the two point function of a (second quantized) real scalar free field during the accelerated stage. Such a two point function is finite, in contrast with its coincidence limit, which is divergent due to the ultraviolet divergences proper of field theory. We therefore argue that predictions of most of the inflationary models do not necessarily need a regularization scheme to leading order, i.e. tree level, which is required instead for non-linear corrections or calculations involving the energy-momentum tensor. We also discuss unpleasant features of the "would be" regularized spectrum obtained using the traditional fourth order adiabatic subtraction. |
1606.04032 | Andre Lukas | Evgeny I. Buchbinder, Andrei Constantin, James Gray, Andre Lukas | Yukawa Unification in Heterotic String Theory | 30 pages, Latex | Phys. Rev. D 94, 046005 (2016) | 10.1103/PhysRevD.94.046005 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze Yukawa unification in the the context of $E_8\times E_8$ heterotic
Calabi-Yau models which rely on breaking to a GUT theory via a non-flat gauge
bundle and subsequent Wilson line breaking to the standard model. Our focus is
on underlying GUT theories with gauge group $SU(5)$ or $SO(10)$. We provide a
detailed analysis of the fact that, in contrast to traditional field theory
GUTs, the underlying GUT symmetry of these models does not enforce Yukawa
unification. Using this formalism, we present various scenarios where Yukawa
unification can occur as a consequence of additional symmetries. These
additional symmetries arise naturally in some heterotic constructions and we
present an explicit heterotic line bundle model which realizes one of these
scenarios.
| [
{
"created": "Mon, 13 Jun 2016 16:55:32 GMT",
"version": "v1"
}
] | 2016-08-17 | [
[
"Buchbinder",
"Evgeny I.",
""
],
[
"Constantin",
"Andrei",
""
],
[
"Gray",
"James",
""
],
[
"Lukas",
"Andre",
""
]
] | We analyze Yukawa unification in the the context of $E_8\times E_8$ heterotic Calabi-Yau models which rely on breaking to a GUT theory via a non-flat gauge bundle and subsequent Wilson line breaking to the standard model. Our focus is on underlying GUT theories with gauge group $SU(5)$ or $SO(10)$. We provide a detailed analysis of the fact that, in contrast to traditional field theory GUTs, the underlying GUT symmetry of these models does not enforce Yukawa unification. Using this formalism, we present various scenarios where Yukawa unification can occur as a consequence of additional symmetries. These additional symmetries arise naturally in some heterotic constructions and we present an explicit heterotic line bundle model which realizes one of these scenarios. |
hep-th/9906092 | Andrey Bytsenko | A.A. Bytsenko, L. Vanzo and S. Zerbini | Semiclassical Approximation for Chern-Simons Theory and 3-Hyperbolic
Invariants | 7 pages; AMSART | Phys.Lett. B459 (1999) 535-539 | 10.1016/S0370-2693(99)00721-2 | null | hep-th | null | The invariant integration method for Chern-Simons theory defined on the
compact hyperbolic manifold {\Gamma}\H^3 is verified in the semiclassical
approximation. The semiclassical limit for the partition function is presented.
We discuss briefly L^2 - analytic torsion and the eta invariant of
Atiyah-Patodi-Singer for compact hyperbolic 3-manifolds.
| [
{
"created": "Sat, 12 Jun 1999 19:18:27 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Bytsenko",
"A. A.",
""
],
[
"Vanzo",
"L.",
""
],
[
"Zerbini",
"S.",
""
]
] | The invariant integration method for Chern-Simons theory defined on the compact hyperbolic manifold {\Gamma}\H^3 is verified in the semiclassical approximation. The semiclassical limit for the partition function is presented. We discuss briefly L^2 - analytic torsion and the eta invariant of Atiyah-Patodi-Singer for compact hyperbolic 3-manifolds. |
1207.6799 | Mikhail V. Ioffe | A. A. Andrianov and M. V. Ioffe | Nonlinear Supersymmetric Quantum Mechanics: concepts and realizations | 75 pages, Minor corrections, Version published in Journal of Physics
A | Journal of Physics A: Mathematical and Theoretical, 45 (2012)
503001 | 10.1088/1751-8113/45/50/503001 | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Nonlinear SUSY approach to preparation of quantum systems with pre-planned
spectral properties is reviewed. Possible multidimensional extensions of
Nonlinear SUSY are described. The full classification of ladder-reducible and
irreducible chains of SUSY algebras in one-dimensional QM is given. Emergence
of hidden symmetries and spectrum generating algebras is elucidated in the
context of Nonlinear SUSY in one- and two-dimensional QM.
| [
{
"created": "Sun, 29 Jul 2012 19:56:21 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Nov 2012 07:13:34 GMT",
"version": "v2"
}
] | 2015-06-05 | [
[
"Andrianov",
"A. A.",
""
],
[
"Ioffe",
"M. V.",
""
]
] | Nonlinear SUSY approach to preparation of quantum systems with pre-planned spectral properties is reviewed. Possible multidimensional extensions of Nonlinear SUSY are described. The full classification of ladder-reducible and irreducible chains of SUSY algebras in one-dimensional QM is given. Emergence of hidden symmetries and spectrum generating algebras is elucidated in the context of Nonlinear SUSY in one- and two-dimensional QM. |
1208.1820 | Shibaji Roy | Parijat Dey, Shibaji Roy | Holographic entanglement entropy of the near horizon 1/4 BPS F-D$p$
bound states | 14 pages, no figures; v2: various clarifications added, comparison
with earlier work given, version to appear in Phys. Rev. D | null | 10.1103/PhysRevD.87.066001 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It was shown in Dey and Roy (2012) that the near horizon limit of the 1/4 BPS
threshold F-D$p$ (for $0\leq p \leq 5$, $p \neq 4$) bound state solutions of
type II string theories give rise to space-time metrics endowed with Lifshitz
scaling along with hyperscaling violation. Here we compute the holographic
entanglement entropy of this system for all $p \neq 4$ (for $p=4$ the
space-time has AdS$_2$ structure). For $p=3,5$, we get the expected area law
behavior of the entanglement entropy. For $p=0,1$, the entanglement entropy has
new area law violations and has the behavior which is in between the linear and
logarithmic behaviors. For $p=2$, we get a logarithmic violation of the area
law. We also compute the entanglement entropy at finite temperature and show
that as the temperature rises, the entanglement entropy makes a crossover to
the thermal entropy of the system. We thus obtain the string theoretic
realization of holographic EE and various of its aspects noted earlier for
generic metric with hyperscaling violation.
| [
{
"created": "Thu, 9 Aug 2012 06:24:53 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Feb 2013 05:58:49 GMT",
"version": "v2"
}
] | 2015-06-11 | [
[
"Dey",
"Parijat",
""
],
[
"Roy",
"Shibaji",
""
]
] | It was shown in Dey and Roy (2012) that the near horizon limit of the 1/4 BPS threshold F-D$p$ (for $0\leq p \leq 5$, $p \neq 4$) bound state solutions of type II string theories give rise to space-time metrics endowed with Lifshitz scaling along with hyperscaling violation. Here we compute the holographic entanglement entropy of this system for all $p \neq 4$ (for $p=4$ the space-time has AdS$_2$ structure). For $p=3,5$, we get the expected area law behavior of the entanglement entropy. For $p=0,1$, the entanglement entropy has new area law violations and has the behavior which is in between the linear and logarithmic behaviors. For $p=2$, we get a logarithmic violation of the area law. We also compute the entanglement entropy at finite temperature and show that as the temperature rises, the entanglement entropy makes a crossover to the thermal entropy of the system. We thus obtain the string theoretic realization of holographic EE and various of its aspects noted earlier for generic metric with hyperscaling violation. |
1004.5064 | Roman Gorbachev V | I.Ya. Aref'eva and R.V. Gorbachev | On Gauge Equivalence of Tachyon Solutions in Cubic Neveu-Schwarz String
Field Theory | 8 pages, LaTex | null | 10.1007/s11232-010-0125-0 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Simple analytic solution to cubic Neveu-Schwarz String Field Theory including
the $GSO(-)$ sector is presented. This solution is an analog of the
Erler-Schnabl solution for bosonic case and one of the authors solution for the
pure $GSO(+)$ case. Gauge transformations of the new solution to others known
solutions for the $NS$ string tachyon condensation are constructed explicitly.
This gauge equivalence manifestly supports the early observed fact that these
solutions have the same value of the action density.
| [
{
"created": "Wed, 28 Apr 2010 15:42:11 GMT",
"version": "v1"
}
] | 2015-05-18 | [
[
"Aref'eva",
"I. Ya.",
""
],
[
"Gorbachev",
"R. V.",
""
]
] | Simple analytic solution to cubic Neveu-Schwarz String Field Theory including the $GSO(-)$ sector is presented. This solution is an analog of the Erler-Schnabl solution for bosonic case and one of the authors solution for the pure $GSO(+)$ case. Gauge transformations of the new solution to others known solutions for the $NS$ string tachyon condensation are constructed explicitly. This gauge equivalence manifestly supports the early observed fact that these solutions have the same value of the action density. |
1504.04669 | Reinaldo de Melo e Souza | Reinaldo de Melo e Souza and J.A. Helay\"el Neto | Thinking anew causality problems for the radiation reaction force | null | null | null | null | hep-th physics.class-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, we analyze a Lagrangian formalism recently proposed to approach
the issue of the Abraham-Lorentz force. Instead of involving only position and
velocity, as usual in Classical Mechanics, this Lagrangian involves the
acceleration of the charge. We find the conserved momentum of the charge in the
absence of any field and show that it contains an acceleration term. This
enables us to re-visit the well-known pre-acceleration problem and show that,
contrary to what has been widely believed, it is not related to any violation
of causality.
| [
{
"created": "Sat, 18 Apr 2015 00:48:54 GMT",
"version": "v1"
}
] | 2015-04-21 | [
[
"Souza",
"Reinaldo de Melo e",
""
],
[
"Neto",
"J. A. Helayël",
""
]
] | In this work, we analyze a Lagrangian formalism recently proposed to approach the issue of the Abraham-Lorentz force. Instead of involving only position and velocity, as usual in Classical Mechanics, this Lagrangian involves the acceleration of the charge. We find the conserved momentum of the charge in the absence of any field and show that it contains an acceleration term. This enables us to re-visit the well-known pre-acceleration problem and show that, contrary to what has been widely believed, it is not related to any violation of causality. |
hep-th/9202061 | Peter Bowcock | P. Bowcock | Exceptional Superconformal Algebras | 16 pages | Nucl.Phys. B381 (1992) 415-430 | 10.1016/0550-3213(92)90654-T | null | hep-th | null | Reductive W-algebras which are generated by bosonic fields of spin-1, a
single spin-2 field and fermionic fields of spin-3/2 are classified. Three new
cases are found: a `symplectic' family of superconformal algebras which are
extended by $su(2)\oplus sp(n)$, an $N=7$ and an $N=8$ superconformal algebra.
The exceptional cases can be viewed as arising a Drinfeld-Sokolov type
reduction of the exceptional Lie superalgebras $G(3)$ and $F(4)$, and have an
octonionic description. The quantum versions of the superconformal algebras are
constructed explicitly in all three cases.
| [
{
"created": "Wed, 19 Feb 1992 00:30:10 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Bowcock",
"P.",
""
]
] | Reductive W-algebras which are generated by bosonic fields of spin-1, a single spin-2 field and fermionic fields of spin-3/2 are classified. Three new cases are found: a `symplectic' family of superconformal algebras which are extended by $su(2)\oplus sp(n)$, an $N=7$ and an $N=8$ superconformal algebra. The exceptional cases can be viewed as arising a Drinfeld-Sokolov type reduction of the exceptional Lie superalgebras $G(3)$ and $F(4)$, and have an octonionic description. The quantum versions of the superconformal algebras are constructed explicitly in all three cases. |
2009.05551 | Alexander Krikun | Tomas Andrade, Matteo Baggioli and Alexander Krikun | Phase relaxation and pattern formation in holographic gapless charge
density waves | 25 pages + appendices, 13 figures | Journal of High Energy Physics volume 2021, Article number: 292
(2021) | 10.1007/JHEP03(2021)292 | NORDITA 2020-084, IFT-UAM/CSIC-20-122 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the dynamics of spontaneous translation symmetry breaking in
holographic models in presence of weak explicit sources. We show that, unlike
conventional gapped quantum charge density wave systems, this dynamics is well
characterized by the effective time dependent Ginzburg-Landau equation, both
above and below the critical temperature, which leads to a "gapless" algebraic
pattern of metal-insulator phase transition. In this framework we elucidate the
nature of the damped Goldstone mode (the phason), which has earlier been
identified in the effective hydrodynamic theory of pinned charge density wave
and observed in holographic homogeneous lattice models. We follow the motion of
the quasinormal modes across the dynamical phase transition in models with
either periodic inhomogeneous or helical homogeneous spatial structures,
showing that the phase relaxation rate is continuous at the critical
temperature. Moreover, we find that the qualitative low-energy dynamics of the
broken phase is universal, insensitive to the precise pattern of translation
symmetry breaking, and therefore applies to homogeneous models as well.
| [
{
"created": "Fri, 11 Sep 2020 17:34:25 GMT",
"version": "v1"
}
] | 2021-04-06 | [
[
"Andrade",
"Tomas",
""
],
[
"Baggioli",
"Matteo",
""
],
[
"Krikun",
"Alexander",
""
]
] | We study the dynamics of spontaneous translation symmetry breaking in holographic models in presence of weak explicit sources. We show that, unlike conventional gapped quantum charge density wave systems, this dynamics is well characterized by the effective time dependent Ginzburg-Landau equation, both above and below the critical temperature, which leads to a "gapless" algebraic pattern of metal-insulator phase transition. In this framework we elucidate the nature of the damped Goldstone mode (the phason), which has earlier been identified in the effective hydrodynamic theory of pinned charge density wave and observed in holographic homogeneous lattice models. We follow the motion of the quasinormal modes across the dynamical phase transition in models with either periodic inhomogeneous or helical homogeneous spatial structures, showing that the phase relaxation rate is continuous at the critical temperature. Moreover, we find that the qualitative low-energy dynamics of the broken phase is universal, insensitive to the precise pattern of translation symmetry breaking, and therefore applies to homogeneous models as well. |
1411.0736 | Shinji Tsujikawa | Antonio De Felice, Shinji Tsujikawa | Inflationary gravitational waves in the effective field theory of
modified gravity | 11 pages, no figures | Phys.Rev. D91 (2015) 103506 | 10.1103/PhysRevD.91.103506 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the approach of the effective field theory of modified gravity, we derive
the second-order action and the equation of motion for tensor perturbations on
the flat isotropic cosmological background. This analysis accommodates a wide
range of gravitational theories including Horndeski theories, its
generalization, and the theories with spatial derivatives higher than second
order (e.g., Horava-Lifshitz gravity). We obtain the inflationary power
spectrum of tensor modes by taking into account corrections induced by
higher-order spatial derivatives and slow-roll corrections to the de Sitter
background. We also show that the leading-order spectrum in concrete modified
gravitational theories can be mapped on to that in General Relativity under a
disformal transformation. Our general formula will be useful to constrain
inflationary models from the future precise measurement of the B-mode
polarization in the cosmic microwave background.
| [
{
"created": "Mon, 3 Nov 2014 23:46:28 GMT",
"version": "v1"
},
{
"created": "Tue, 12 May 2015 00:02:13 GMT",
"version": "v2"
}
] | 2015-05-27 | [
[
"De Felice",
"Antonio",
""
],
[
"Tsujikawa",
"Shinji",
""
]
] | In the approach of the effective field theory of modified gravity, we derive the second-order action and the equation of motion for tensor perturbations on the flat isotropic cosmological background. This analysis accommodates a wide range of gravitational theories including Horndeski theories, its generalization, and the theories with spatial derivatives higher than second order (e.g., Horava-Lifshitz gravity). We obtain the inflationary power spectrum of tensor modes by taking into account corrections induced by higher-order spatial derivatives and slow-roll corrections to the de Sitter background. We also show that the leading-order spectrum in concrete modified gravitational theories can be mapped on to that in General Relativity under a disformal transformation. Our general formula will be useful to constrain inflationary models from the future precise measurement of the B-mode polarization in the cosmic microwave background. |
1312.3727 | Shota Komatsu | Yoichi Kazama and Shota Komatsu | Three-point functions in the SU(2) sector at strong coupling | 128 pages (A summary is given in section 1); v2 minor improvements | JHEP 1403 (2014) 052 | 10.1007/JHEP03(2014)052 | UT-Komaba 13-16 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Extending the methods developed in our previous works (arXiv:1110.3949,
arXiv:1205.6060), we compute the three-point functions at strong coupling of
the non-BPS states with large quantum numbers corresponding to the composite
operators belonging to the so-called SU(2) sector in the $\mathcal{N}=4$
super-Yang-Mills theory in four dimensions. This is achieved by the
semi-classical evaluation of the three-point functions in the dual string
theory in the $AdS_3 \times S^3$ spacetime, using the general one-cut finite
gap solutions as the external states. In spite of the complexity of the
contributions from various parts in the intermediate stages, the final answer
for the three-point function takes a remarkably simple form, exhibiting the
structure reminiscent of the one obtained at weak coupling. In particular, in
the Frolov-Tseytlin limit the result is expressed in terms of markedly similar
integrals, however with different contours of integration. We discuss a natural
mechanism for introducing additional singularities on the worldsheet without
affecting the infinite number of conserved charges, which can modify the
contours of integration.
| [
{
"created": "Fri, 13 Dec 2013 08:28:57 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Jan 2014 05:27:34 GMT",
"version": "v2"
}
] | 2014-03-26 | [
[
"Kazama",
"Yoichi",
""
],
[
"Komatsu",
"Shota",
""
]
] | Extending the methods developed in our previous works (arXiv:1110.3949, arXiv:1205.6060), we compute the three-point functions at strong coupling of the non-BPS states with large quantum numbers corresponding to the composite operators belonging to the so-called SU(2) sector in the $\mathcal{N}=4$ super-Yang-Mills theory in four dimensions. This is achieved by the semi-classical evaluation of the three-point functions in the dual string theory in the $AdS_3 \times S^3$ spacetime, using the general one-cut finite gap solutions as the external states. In spite of the complexity of the contributions from various parts in the intermediate stages, the final answer for the three-point function takes a remarkably simple form, exhibiting the structure reminiscent of the one obtained at weak coupling. In particular, in the Frolov-Tseytlin limit the result is expressed in terms of markedly similar integrals, however with different contours of integration. We discuss a natural mechanism for introducing additional singularities on the worldsheet without affecting the infinite number of conserved charges, which can modify the contours of integration. |
hep-th/9804077 | Michael Kuchiev | M.Yu.Kuchiev | Can gravity appear due to polarization of instantons in the SO(4) gauge
theory? | 26 pages, Latex, IOP style, sumbitted to Classical and Quantum
Gravity (1998) | Class.Quant.Grav. 15 (1998) 1895-1913 | 10.1088/0264-9381/15/7/008 | null | hep-th gr-qc | null | Conventional non-Abelian SO(4) gauge theory is able to describe gravity
provided the gauge field possesses a specific polarized vacuum state. In this
vacuum the instantons and anti-instantons have a preferred direction of
orientation. Their orientation plays the role of the order parameter for the
polarized phase of the gauge field. The interaction of a weak and smooth gauge
field with the polarized vacuum is described by an effective long-range action
which is identical to the Hilbert action of general relativity. In the
classical limit this action results in the Einstein equations of general
relativity. Gravitational waves appear as the mode describing propagation of
the gauge field which strongly interacts with the oriented instantons. The
Newton gravitational constant describes the density of the considered phase of
the gauge field. The radius of the instantons under consideration is comparable
with the Planck radius.
| [
{
"created": "Fri, 10 Apr 1998 04:13:50 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Kuchiev",
"M. Yu.",
""
]
] | Conventional non-Abelian SO(4) gauge theory is able to describe gravity provided the gauge field possesses a specific polarized vacuum state. In this vacuum the instantons and anti-instantons have a preferred direction of orientation. Their orientation plays the role of the order parameter for the polarized phase of the gauge field. The interaction of a weak and smooth gauge field with the polarized vacuum is described by an effective long-range action which is identical to the Hilbert action of general relativity. In the classical limit this action results in the Einstein equations of general relativity. Gravitational waves appear as the mode describing propagation of the gauge field which strongly interacts with the oriented instantons. The Newton gravitational constant describes the density of the considered phase of the gauge field. The radius of the instantons under consideration is comparable with the Planck radius. |
0712.3046 | Ari Pakman | Gaston Giribet, Ari Pakman and Leonardo Rastelli | Spectral Flow in AdS(3)/CFT(2) | 50 pages, 2 figures | JHEP 0806:013,2008 | 10.1088/1126-6708/2008/06/013 | YITP-SB-07-38 | hep-th | null | We study the spectral flowed sectors of the H3 WZW model in the context of
the holographic duality between type IIB string theory in AdS(3)x S^3 x T^4
with NSNS flux and the symmetric product orbifold of T^4. We construct
explicitly the physical vertex operators in the flowed sectors that belong to
short representations of the superalgebra, thus completing the bulk-to-boundary
dictionary for 1/2 BPS states. We perform a partial calculation of the string
three-point functions of these operators. A complete calculation would require
the three-point couplings of non-extremal flowed operators in the H3 WZW model,
which are at present unavailable. In the unflowed sector, perfect agreement has
recently been found between the bulk and boundary three-point functions of 1/2
BPS operators. Assuming that this agreement persists in the flowed sectors, we
determine certain unknown three-point couplings in the H3 WZW model in terms of
three-point couplings of affine descendants in the SU(2) WZW model.
| [
{
"created": "Tue, 18 Dec 2007 20:58:51 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Dec 2007 01:39:25 GMT",
"version": "v2"
}
] | 2009-12-10 | [
[
"Giribet",
"Gaston",
""
],
[
"Pakman",
"Ari",
""
],
[
"Rastelli",
"Leonardo",
""
]
] | We study the spectral flowed sectors of the H3 WZW model in the context of the holographic duality between type IIB string theory in AdS(3)x S^3 x T^4 with NSNS flux and the symmetric product orbifold of T^4. We construct explicitly the physical vertex operators in the flowed sectors that belong to short representations of the superalgebra, thus completing the bulk-to-boundary dictionary for 1/2 BPS states. We perform a partial calculation of the string three-point functions of these operators. A complete calculation would require the three-point couplings of non-extremal flowed operators in the H3 WZW model, which are at present unavailable. In the unflowed sector, perfect agreement has recently been found between the bulk and boundary three-point functions of 1/2 BPS operators. Assuming that this agreement persists in the flowed sectors, we determine certain unknown three-point couplings in the H3 WZW model in terms of three-point couplings of affine descendants in the SU(2) WZW model. |
2003.09524 | Matheus Araujo Marques | D. Bazeia, M.A. Marques and R. Menezes | Quasi-compact vortices | 6 pages, 4 figures; published in EPL | EPL 129 (2020) 31001 | 10.1209/0295-5075/129/31001 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We deal with planar vortex structures in Maxwell-Higgs models in the presence
of a generalized magnetic permeability. The model under investigation engenders
a real parameter that controls the behavior of the tail of the solutions and of
the quantities associated to them. As the parameter gets larger, the solutions
attain their boundary values faster, unveiling the existence of a peculiar
feature, the presence of double exponential tails. However, the solutions are
not compact so we call them quasi-compact vortices.
| [
{
"created": "Fri, 20 Mar 2020 22:52:34 GMT",
"version": "v1"
}
] | 2020-03-24 | [
[
"Bazeia",
"D.",
""
],
[
"Marques",
"M. A.",
""
],
[
"Menezes",
"R.",
""
]
] | We deal with planar vortex structures in Maxwell-Higgs models in the presence of a generalized magnetic permeability. The model under investigation engenders a real parameter that controls the behavior of the tail of the solutions and of the quantities associated to them. As the parameter gets larger, the solutions attain their boundary values faster, unveiling the existence of a peculiar feature, the presence of double exponential tails. However, the solutions are not compact so we call them quasi-compact vortices. |
hep-th/9309029 | Tetsuo Deguchi | Tetsuo Deguchi | Multivariable Invariants of Colored Links Generalizing the Alexander
Polynomial | 19 pages | null | null | null | hep-th math.QA | null | We discuss multivariable invariants of colored links associated with the
$N$-dimensional root of unity representation of the quantum group. The
invariants for $N>2$ are generalizations of the multi-variable Alexander
polynomial. The invariants vanish for disconnected links. We review the
definition of the invariants through (1,1)-tangles. When $(N,3)=1$ and $N$ is
odd, the invariant does not vanish for the parallel link (cable) of the knot
$3_1$, while the Alexander polynomial vanishes for the cable link.
| [
{
"created": "Mon, 6 Sep 1993 07:12:56 GMT",
"version": "v1"
}
] | 2008-02-03 | [
[
"Deguchi",
"Tetsuo",
""
]
] | We discuss multivariable invariants of colored links associated with the $N$-dimensional root of unity representation of the quantum group. The invariants for $N>2$ are generalizations of the multi-variable Alexander polynomial. The invariants vanish for disconnected links. We review the definition of the invariants through (1,1)-tangles. When $(N,3)=1$ and $N$ is odd, the invariant does not vanish for the parallel link (cable) of the knot $3_1$, while the Alexander polynomial vanishes for the cable link. |
0906.2510 | Mario Trigiante | Pietro Fr\'e, Pietro Antonio Grassi, Luca Sommovigo, Mario Trigiante | Theory of Superdualities and the Orthosymplectic Supergroup | 35 pages, LaTeX source | Nucl.Phys.B825:177-202,2010 | 10.1016/j.nuclphysb.2009.09.020 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the dualities for sigma models with fermions and bosons. We found
that the generalization of the SO(m,m) duality for D=2 sigma models and the
Sp(2n) duality for D=4 sigma models is the orthosymplectic duality OSp(m,m|2
n). We study the implications of this and we derive the most general D=2 sigma
model, coupled to fermionic and bosonic one-forms, with such dualities. To
achieve this we generalize Gaillard-Zumino analysis to orthosymplectic
dualities, which requires to define embedding of the superisometry group of the
target space into the duality group. We finally discuss the recently proposed
fermionic dualities as a by-product of our construction.
| [
{
"created": "Sun, 14 Jun 2009 04:47:28 GMT",
"version": "v1"
}
] | 2009-11-09 | [
[
"Fré",
"Pietro",
""
],
[
"Grassi",
"Pietro Antonio",
""
],
[
"Sommovigo",
"Luca",
""
],
[
"Trigiante",
"Mario",
""
]
] | We study the dualities for sigma models with fermions and bosons. We found that the generalization of the SO(m,m) duality for D=2 sigma models and the Sp(2n) duality for D=4 sigma models is the orthosymplectic duality OSp(m,m|2 n). We study the implications of this and we derive the most general D=2 sigma model, coupled to fermionic and bosonic one-forms, with such dualities. To achieve this we generalize Gaillard-Zumino analysis to orthosymplectic dualities, which requires to define embedding of the superisometry group of the target space into the duality group. We finally discuss the recently proposed fermionic dualities as a by-product of our construction. |
hep-th/0211184 | Machiko Hatsuda | Machiko Hatsuda and Warren Siegel | A new holographic limit of AdS5 x S5 | 17 pages, references added, version accepted for publication in Phys.
Rev. D | Phys.Rev. D67 (2003) 066005 | 10.1103/PhysRevD.67.066005 | KEK-TH-855, YITP-SB-02-72 | hep-th | null | We re-examine the projective lightcone limit of the gauge-invariant
Green-Schwarz action on 5D anti-de Sitter x the five-sphere. It implies the
usual holography for AdS5, but also (a complex) one for S5. The result is N=4
projective superspace, which unlike N=4 harmonic superspace can describe N=4
super Yang-Mills off shell.
| [
{
"created": "Wed, 20 Nov 2002 12:24:28 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Nov 2002 05:06:35 GMT",
"version": "v2"
},
{
"created": "Thu, 6 Feb 2003 04:26:40 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Hatsuda",
"Machiko",
""
],
[
"Siegel",
"Warren",
""
]
] | We re-examine the projective lightcone limit of the gauge-invariant Green-Schwarz action on 5D anti-de Sitter x the five-sphere. It implies the usual holography for AdS5, but also (a complex) one for S5. The result is N=4 projective superspace, which unlike N=4 harmonic superspace can describe N=4 super Yang-Mills off shell. |
hep-th/0211046 | Martin Porrmann | Martin Porrmann | Particle Weights and their Disintegration II | 26 pages, amslatex, mathptm | Commun.Math.Phys. 248 (2004) 305-333 | 10.1007/s00220-004-1093-8 | null | hep-th | null | The first article in this series presented a thorough discussion of particle
weights and their characteristic properties. In this part a disintegration
theory for particle weights is developed which yields pure components linked to
irreducible representations and exhibiting features of improper energy-momentum
eigenstates. This spatial disintegration relies on the separability of the
Hilbert space as well as of the C*-algebra. Neither is present in the
GNS-representation of a generic particle weight so that we use a restricted
version of this concept on the basis of separable constructs. This procedure
does not entail any loss of essential information insofar as under physically
reasonable assumptions on the structure of phase space the resulting
representations of the separable algebra are locally normal and can thus be
continuously extended to the original quasi-local C*-algebra.
| [
{
"created": "Wed, 6 Nov 2002 19:25:45 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Porrmann",
"Martin",
""
]
] | The first article in this series presented a thorough discussion of particle weights and their characteristic properties. In this part a disintegration theory for particle weights is developed which yields pure components linked to irreducible representations and exhibiting features of improper energy-momentum eigenstates. This spatial disintegration relies on the separability of the Hilbert space as well as of the C*-algebra. Neither is present in the GNS-representation of a generic particle weight so that we use a restricted version of this concept on the basis of separable constructs. This procedure does not entail any loss of essential information insofar as under physically reasonable assumptions on the structure of phase space the resulting representations of the separable algebra are locally normal and can thus be continuously extended to the original quasi-local C*-algebra. |
hep-th/9211075 | Stephen Hwang | Stephen Hwang and Patrick Roberts | Interaction and modular invariance of strings on curved manifolds | 16 pages, G\'oteborg ITP 92-50, latex file | null | null | null | hep-th | null | We review and present new results for a string moving on an $SU(1,1)$ group
manifold. We discuss two classes of theories which use discrete
representations. For these theories the representations forbidden by unitarity
decouple and, in addition, one can construct modular invariant partition
functions. The partion functions do, however, contain divergencies due to the
time-like direction of the $SU(1,1)$ manifold. The two classes of theories have
the corresponding central charges $c=9,6,5,9/2,\ldots$ and
$c=9,15,21,27,\ldots$. Subtracting two from the latter series of central
charges we get the Gervais-Neveu series $c-2=7,13,19,25$. This suggests a
relationship between the $SU(1,1)$ string and the Liouville theory, similar to
the one found in the $c=1$ string. Modular invariance is also demonstrated for
the principal continous representations. Furthermore, we present new results
for the Euclidean coset $SU(1,1)/U(1)$. The same two classes of theories will
be possible here and will have central charges $c=8,5,4,\dots$ and
$c=8,14,20,26,\ldots$, where the latter class includes the critical 2d black
hole. The partition functions for the coset theory are convergent.(Talk
presented by S.H. at the 16'th Johns Hopkins' Workshop, G\"oteborg, Sweden,
June 8-10, 1992)
| [
{
"created": "Tue, 17 Nov 1992 09:56:36 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Hwang",
"Stephen",
""
],
[
"Roberts",
"Patrick",
""
]
] | We review and present new results for a string moving on an $SU(1,1)$ group manifold. We discuss two classes of theories which use discrete representations. For these theories the representations forbidden by unitarity decouple and, in addition, one can construct modular invariant partition functions. The partion functions do, however, contain divergencies due to the time-like direction of the $SU(1,1)$ manifold. The two classes of theories have the corresponding central charges $c=9,6,5,9/2,\ldots$ and $c=9,15,21,27,\ldots$. Subtracting two from the latter series of central charges we get the Gervais-Neveu series $c-2=7,13,19,25$. This suggests a relationship between the $SU(1,1)$ string and the Liouville theory, similar to the one found in the $c=1$ string. Modular invariance is also demonstrated for the principal continous representations. Furthermore, we present new results for the Euclidean coset $SU(1,1)/U(1)$. The same two classes of theories will be possible here and will have central charges $c=8,5,4,\dots$ and $c=8,14,20,26,\ldots$, where the latter class includes the critical 2d black hole. The partition functions for the coset theory are convergent.(Talk presented by S.H. at the 16'th Johns Hopkins' Workshop, G\"oteborg, Sweden, June 8-10, 1992) |
2005.01725 | Sebastian Grieninger | Matteo Baggioli, Sebastian Grieninger, Li Li | Magnetophonons & type-B Goldstones from Hydrodynamics to Holography | 34+9 pages, 23+1 figures | Journal of High Energy Physics volume 2020, Article number: 37
(2020) | 10.1007/JHEP09(2020)037 | IFT-UAM/CSIC-20-50 | hep-th cond-mat.mes-hall cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We perform a detailed analysis of a large class of effective holographic
models with broken translations at finite charge density and magnetic field. We
exhaustively discuss the dispersion relations of the hydrodynamic modes at zero
magnetic field and successfully match them to the predictions from charged
hydrodynamics. At finite magnetic field, we identify the presence of an
expected type-B Goldstone boson $\mathrm{Re}[\omega]\sim k^2$, known as
magnetophonon and its gapped partner -- the magnetoplasmon. We discuss their
properties in relation to the effective field theory and hydrodynamics
expectations. Finally, we compute the optical conductivities and the
quasinormal modes at finite magnetic field. We observe that the pinning
frequency of the magneto-resonance peak increases with the magnetic field, in
agreement with experimental data on certain 2D materials, revealing the quantum
nature of the holographic pinning mechanism.
| [
{
"created": "Mon, 4 May 2020 18:00:01 GMT",
"version": "v1"
}
] | 2020-09-09 | [
[
"Baggioli",
"Matteo",
""
],
[
"Grieninger",
"Sebastian",
""
],
[
"Li",
"Li",
""
]
] | We perform a detailed analysis of a large class of effective holographic models with broken translations at finite charge density and magnetic field. We exhaustively discuss the dispersion relations of the hydrodynamic modes at zero magnetic field and successfully match them to the predictions from charged hydrodynamics. At finite magnetic field, we identify the presence of an expected type-B Goldstone boson $\mathrm{Re}[\omega]\sim k^2$, known as magnetophonon and its gapped partner -- the magnetoplasmon. We discuss their properties in relation to the effective field theory and hydrodynamics expectations. Finally, we compute the optical conductivities and the quasinormal modes at finite magnetic field. We observe that the pinning frequency of the magneto-resonance peak increases with the magnetic field, in agreement with experimental data on certain 2D materials, revealing the quantum nature of the holographic pinning mechanism. |
1807.02729 | Graham Smith | Martin Kilian, Graham Smith | Sur un syst\`eme int\'egrable \`a bord | Text in French. Minor corrections made to previous version | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | [French] We develop new applications of Sklyanin's $K$-matrix formalism to
the study of periodic solutions of the sinh-Gordon equation.
| [
{
"created": "Sun, 8 Jul 2018 00:40:10 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Aug 2018 23:10:50 GMT",
"version": "v2"
}
] | 2018-08-21 | [
[
"Kilian",
"Martin",
""
],
[
"Smith",
"Graham",
""
]
] | [French] We develop new applications of Sklyanin's $K$-matrix formalism to the study of periodic solutions of the sinh-Gordon equation. |
hep-th/0006119 | Steven S. Gubser | Steven S. Gubser and Shivaji L. Sondhi (Princeton University) | Phase structure of non-commutative scalar field theories | 33 pages, latex. v2: minor improvements, version to appear in NPB | Nucl.Phys. B605 (2001) 395-424 | 10.1016/S0550-3213(01)00108-0 | PUPT-1936 | hep-th cond-mat.mes-hall | null | We investigate the phase structure of non-commutative scalar field theories
and find evidence for ordered phases which break translation invariance. A
self-consistent one-loop analysis indicates that the transition into these
ordered phases is first order. The phase structure and the existence of scaling
limits provides an alternative to the structure of counter-terms in determining
the renormalizability of non-commutative field theories. On the basis of the
existence of a critical point in the closely related planar theory, we argue
that there are renormalizable interacting non-commutative scalar field theories
in dimensions two and above. We exhibit this renormalization explicitly in the
large $N$ limit of a non-commutative O(N) vector model.
| [
{
"created": "Fri, 16 Jun 2000 23:04:36 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Jul 2000 16:11:55 GMT",
"version": "v2"
},
{
"created": "Mon, 12 Feb 2001 21:02:42 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Gubser",
"Steven S.",
"",
"Princeton University"
],
[
"Sondhi",
"Shivaji L.",
"",
"Princeton University"
]
] | We investigate the phase structure of non-commutative scalar field theories and find evidence for ordered phases which break translation invariance. A self-consistent one-loop analysis indicates that the transition into these ordered phases is first order. The phase structure and the existence of scaling limits provides an alternative to the structure of counter-terms in determining the renormalizability of non-commutative field theories. On the basis of the existence of a critical point in the closely related planar theory, we argue that there are renormalizable interacting non-commutative scalar field theories in dimensions two and above. We exhibit this renormalization explicitly in the large $N$ limit of a non-commutative O(N) vector model. |
hep-th/0311145 | Michael P. Fry | M.P.Fry | Fermion Determinants 2003 | To appear in the proceedings of the Sixth Workshop on Quantum Field
Theory under the Influence of External Conditions, September 15-19, 2003 | null | null | null | hep-th hep-lat | null | It is recommended that lattice QCD representations of the fermion
determinant, including the discretization of the Dirac operator, be checked in
the continuum limit against known QED determinant results. Recent work on the
massive QED fermion determinant in two dimensions is reviewed. A feasible
approach to the four-dimensional QED determinant with O(2) x O(3) symmetric
background fields is briefly discussed.
| [
{
"created": "Mon, 17 Nov 2003 16:16:14 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Fry",
"M. P.",
""
]
] | It is recommended that lattice QCD representations of the fermion determinant, including the discretization of the Dirac operator, be checked in the continuum limit against known QED determinant results. Recent work on the massive QED fermion determinant in two dimensions is reviewed. A feasible approach to the four-dimensional QED determinant with O(2) x O(3) symmetric background fields is briefly discussed. |
hep-th/0309206 | Alfred Tang | Alfred Tang | Topological QCD with a Twist | 9 pages, 3 figures | null | null | null | hep-th | null | Non-supersymmetric Yang-Mill gauge theory in 4-dimension is shown to be dual
to 4-dimensional non-supersymmetric string theory in a twisted AdS2(n)xT2
spacetime background. The partition function of a generic hadron is calculated
to illustrate the mathematical structure of the twisted QCD topology. The
physical implications of the twisted QCD topology are discussed.
| [
{
"created": "Mon, 22 Sep 2003 10:42:30 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Sep 2003 06:41:28 GMT",
"version": "v2"
},
{
"created": "Wed, 24 Sep 2003 04:35:22 GMT",
"version": "v3"
},
{
"created": "Thu, 2 Oct 2003 10:02:42 GMT",
"version": "v4"
}
] | 2007-05-23 | [
[
"Tang",
"Alfred",
""
]
] | Non-supersymmetric Yang-Mill gauge theory in 4-dimension is shown to be dual to 4-dimensional non-supersymmetric string theory in a twisted AdS2(n)xT2 spacetime background. The partition function of a generic hadron is calculated to illustrate the mathematical structure of the twisted QCD topology. The physical implications of the twisted QCD topology are discussed. |
1304.3279 | Paolo Pani | Mariano Cadoni, Paolo Pani, Matteo Serra | Infrared Behavior of Scalar Condensates in Effective Holographic
Theories | 32 pages, 12 figures | null | 10.1007/JHEP06(2013)029 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the infrared behavior of the spectrum of scalar-dressed,
asymptotically Anti de Sitter (AdS) black brane (BB) solutions of effective
holographic models. These solutions describe scalar condensates in the dual
field theories. We show that for zero charge density the ground state of these
BBs must be degenerate with the AdS vacuum, must satisfy conformal boundary
conditions for the scalar field and it is isolated from the continuous part of
the spectrum. When a finite charge density is switched on, the ground state is
not anymore isolated and the degeneracy is removed. Depending on the coupling
functions, the new ground state may possibly be energetically preferred with
respect to the extremal Reissner-Nordstrom AdS BB. We derive several properties
of BBs near extremality and at finite temperature. As a check and illustration
of our results we derive and discuss several analytic and numerical, BB
solutions of Einstein-scalar-Maxwell AdS gravity with different coupling
functions and different potentials. We also discuss how our results can be used
for understanding holographic quantum critical points, in particular their
stability and the associated quantum phase transitions leading to
superconductivity or hyperscaling violation.
| [
{
"created": "Thu, 11 Apr 2013 12:49:33 GMT",
"version": "v1"
}
] | 2015-06-15 | [
[
"Cadoni",
"Mariano",
""
],
[
"Pani",
"Paolo",
""
],
[
"Serra",
"Matteo",
""
]
] | We investigate the infrared behavior of the spectrum of scalar-dressed, asymptotically Anti de Sitter (AdS) black brane (BB) solutions of effective holographic models. These solutions describe scalar condensates in the dual field theories. We show that for zero charge density the ground state of these BBs must be degenerate with the AdS vacuum, must satisfy conformal boundary conditions for the scalar field and it is isolated from the continuous part of the spectrum. When a finite charge density is switched on, the ground state is not anymore isolated and the degeneracy is removed. Depending on the coupling functions, the new ground state may possibly be energetically preferred with respect to the extremal Reissner-Nordstrom AdS BB. We derive several properties of BBs near extremality and at finite temperature. As a check and illustration of our results we derive and discuss several analytic and numerical, BB solutions of Einstein-scalar-Maxwell AdS gravity with different coupling functions and different potentials. We also discuss how our results can be used for understanding holographic quantum critical points, in particular their stability and the associated quantum phase transitions leading to superconductivity or hyperscaling violation. |
hep-th/0611318 | Neil D. Lambert | Neil Lambert and Peter West | Duality Groups, Automorphic Forms and Higher Derivative Corrections | Typos corrected and a reference added | Phys.Rev.D75:066002,2007 | 10.1103/PhysRevD.75.066002 | KCL-MTH-06-13 | hep-th | null | We study the higher derivative corrections that occur in type II superstring
theories in ten dimensions or less. Assuming invariance under a discrete
duality group G(Z) we show that the generic functions of the scalar fields that
occur can be identified with automorphic forms. We then give a systematic
method to construct automorphic forms from a given group G(Z) together with a
chosen subgroup H and a linear representation of G(Z). This construction is
based on the theory of non-linear realizations and we find that the automorphic
forms contain the weights of G. We also carry out the dimensional reduction of
the generic higher derivative corrections of the IIB theory to three dimensions
and find that the weights of E_8 occur generalizing previous results of the
authors on M-theory. Since the automorphic forms of this theory contain the
weights of E_8 we can interpret the occurrence of weights in the dimensional
reduction as evidence for an underlying U-duality symmetry.
| [
{
"created": "Wed, 29 Nov 2006 00:09:11 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Feb 2007 14:15:44 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Lambert",
"Neil",
""
],
[
"West",
"Peter",
""
]
] | We study the higher derivative corrections that occur in type II superstring theories in ten dimensions or less. Assuming invariance under a discrete duality group G(Z) we show that the generic functions of the scalar fields that occur can be identified with automorphic forms. We then give a systematic method to construct automorphic forms from a given group G(Z) together with a chosen subgroup H and a linear representation of G(Z). This construction is based on the theory of non-linear realizations and we find that the automorphic forms contain the weights of G. We also carry out the dimensional reduction of the generic higher derivative corrections of the IIB theory to three dimensions and find that the weights of E_8 occur generalizing previous results of the authors on M-theory. Since the automorphic forms of this theory contain the weights of E_8 we can interpret the occurrence of weights in the dimensional reduction as evidence for an underlying U-duality symmetry. |
hep-th/9609131 | Prof Fg Scholtz Itf | K.D. Rothe, F.G. Scholtz and A.N. Theron | BRST Cohomology and Hilbert Spaces of Non-Abelian Models in the
Decoupled Path Integral Formulation | 31 pages,Latex | Annals Phys. 255 (1997) 97-124 | 10.1006/aphy.1996.5645 | STPHY 20/96 | hep-th | null | The existence of several nilpotent Noether charges in the decoupled
formulation of two-dimensional gauge theories does not imply that all of these
are required to annihilate the physical states. We elucidate this matter in the
context of simple quantum mechanical and field theoretical models, where the
structure of the Hilbert space is known. We provide a systematic procedure for
deciding which of the BRST conditions is to be imposed on the physical states
in order to ensure the equivalence of the decoupled formulation to the
original, coupled one.
| [
{
"created": "Tue, 17 Sep 1996 07:46:57 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Rothe",
"K. D.",
""
],
[
"Scholtz",
"F. G.",
""
],
[
"Theron",
"A. N.",
""
]
] | The existence of several nilpotent Noether charges in the decoupled formulation of two-dimensional gauge theories does not imply that all of these are required to annihilate the physical states. We elucidate this matter in the context of simple quantum mechanical and field theoretical models, where the structure of the Hilbert space is known. We provide a systematic procedure for deciding which of the BRST conditions is to be imposed on the physical states in order to ensure the equivalence of the decoupled formulation to the original, coupled one. |
1708.02252 | Panagiotis Betzios | Panagiotis Betzios, Umut G\"ursoy, Matti J\"arvinen and Giuseppe
Policastro | Quasi-normal modes of a strongly coupled non-conformal plasma and
approach to criticality | 6 pages, 4 figures | Phys. Rev. D 97, 081901 (2018) | 10.1103/PhysRevD.97.081901 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study fluctuations around equilibrium in a class of strongly interacting
non-conformal plasmas using holographic techniques. In particular we calculate
the quasi-normal mode spectrum of black hole backgrounds that approach to
Chamblin-Reall plasmas in the IR. In a specific limit, related to the exact
linear-dilaton background in string theory, we observe that the plasma
approaches criticality and we obtain the quasi-normal spectrum analytically. We
regulate the critical limit by gluing the IR geometry that corresponds to the
non-conformal plasma to a part of AdS space-time in the UV. Near criticality,
we find two sets of quasi-normal modes, related to the IR and UV parts of the
geometry. In the critical limit, the quasi-normal modes accumulate to form a
branch cut in the correlators of the energy-momentum tensor on the real axis of
the complex frequency plane.
| [
{
"created": "Mon, 7 Aug 2017 18:00:11 GMT",
"version": "v1"
}
] | 2018-04-25 | [
[
"Betzios",
"Panagiotis",
""
],
[
"Gürsoy",
"Umut",
""
],
[
"Järvinen",
"Matti",
""
],
[
"Policastro",
"Giuseppe",
""
]
] | We study fluctuations around equilibrium in a class of strongly interacting non-conformal plasmas using holographic techniques. In particular we calculate the quasi-normal mode spectrum of black hole backgrounds that approach to Chamblin-Reall plasmas in the IR. In a specific limit, related to the exact linear-dilaton background in string theory, we observe that the plasma approaches criticality and we obtain the quasi-normal spectrum analytically. We regulate the critical limit by gluing the IR geometry that corresponds to the non-conformal plasma to a part of AdS space-time in the UV. Near criticality, we find two sets of quasi-normal modes, related to the IR and UV parts of the geometry. In the critical limit, the quasi-normal modes accumulate to form a branch cut in the correlators of the energy-momentum tensor on the real axis of the complex frequency plane. |
hep-th/0506236 | Steven Weinberg | Steven Weinberg | Quantum Contributions to Cosmological Correlations | 39 pages | Phys.Rev.D72:043514,2005 | 10.1103/PhysRevD.72.043514 | UTTG-01-05 | hep-th astro-ph gr-qc | null | The ``in-in'' formalism is reviewed and extended, and applied to the
calculation of higher-order Gaussian and non-Gaussian correlations in
cosmology. Previous calculations of these correlations amounted to the
evaluation of tree graphs in the in-in formalism; here we also consider loop
graphs. It turns out that for some though not all theories, the contributions
of loop graphs as well as tree graphs depend only on the behavior of the
inflaton potential near the time of horizon exit. A sample one-loop calculation
is presented.
| [
{
"created": "Tue, 28 Jun 2005 13:54:18 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Weinberg",
"Steven",
""
]
] | The ``in-in'' formalism is reviewed and extended, and applied to the calculation of higher-order Gaussian and non-Gaussian correlations in cosmology. Previous calculations of these correlations amounted to the evaluation of tree graphs in the in-in formalism; here we also consider loop graphs. It turns out that for some though not all theories, the contributions of loop graphs as well as tree graphs depend only on the behavior of the inflaton potential near the time of horizon exit. A sample one-loop calculation is presented. |
1911.04776 | Joseph Conlon | Joseph P. Conlon | A Note on Brane Inflation | 2 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This short note emphasises a potential tension between string models of
inflation based on systems of branes and antibranes and the spectrum of strings
in curved space, in particular the requirement that the leading Regge
trajectory extends to the Planck scale allowing for the conventional string
theory UV completion of gravity.
| [
{
"created": "Tue, 12 Nov 2019 10:34:06 GMT",
"version": "v1"
}
] | 2019-11-13 | [
[
"Conlon",
"Joseph P.",
""
]
] | This short note emphasises a potential tension between string models of inflation based on systems of branes and antibranes and the spectrum of strings in curved space, in particular the requirement that the leading Regge trajectory extends to the Planck scale allowing for the conventional string theory UV completion of gravity. |
hep-th/9704083 | Herrera Alfredo | Alfredo Herrera-Aguilar and Oleg Kechkin | Matrix Ernst Potentials and Orthogonal Symmetry for Heterotic String in
Three Dimensions | 10 pages in LaTex | Int.J.Mod.Phys. A13 (1998) 393-402 | 10.1142/S0217751X98000172 | null | hep-th | null | A new matrix representation for low-energy limit of heterotic string theory
reduced to three dimensions is considered. The pair of matrix Ernst Potentials
uniquely connected with the coset matrix is derived. The action of the symmetry
group on the Ernst potentials is established.
| [
{
"created": "Thu, 10 Apr 1997 12:43:54 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Herrera-Aguilar",
"Alfredo",
""
],
[
"Kechkin",
"Oleg",
""
]
] | A new matrix representation for low-energy limit of heterotic string theory reduced to three dimensions is considered. The pair of matrix Ernst Potentials uniquely connected with the coset matrix is derived. The action of the symmetry group on the Ernst potentials is established. |
1112.1277 | Marina Huerta | Marina Huerta | Numerical determination of the entanglement entropy for free fields in
the cylinder | 10 pages, 4 figures, typos corrected in equations and figures labels | Physics Letters B 710 (2012), pp. 691-696 | 10.1016/j.physletb.2012.03.044 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We calculate numerically the logarithmic contribution to the entanglement
entropy of a cylindrical region in three spatial dimensions for both, free
scalar and Dirac fields. The coefficient is universal and proportional to the
type $c$ conformal anomaly in agreement with recent analytical predictions. We
also calculate the mass corrections to the entanglement entropy for scalar and
Dirac fields in a disk. These apparently unrelated problems make contact
through the dimensional reduction procedure valid for free fields whereby the
entanglement entropy for the cylinder can be calculated as an integral over
masses of the disk entanglement entropies. Coming from the same numerical
evaluation in the lattice, each coefficient is cross checked by the other,
testing in this way the two results simultaneously.
| [
{
"created": "Tue, 6 Dec 2011 13:55:23 GMT",
"version": "v1"
},
{
"created": "Fri, 4 May 2012 13:54:35 GMT",
"version": "v2"
}
] | 2012-05-07 | [
[
"Huerta",
"Marina",
""
]
] | We calculate numerically the logarithmic contribution to the entanglement entropy of a cylindrical region in three spatial dimensions for both, free scalar and Dirac fields. The coefficient is universal and proportional to the type $c$ conformal anomaly in agreement with recent analytical predictions. We also calculate the mass corrections to the entanglement entropy for scalar and Dirac fields in a disk. These apparently unrelated problems make contact through the dimensional reduction procedure valid for free fields whereby the entanglement entropy for the cylinder can be calculated as an integral over masses of the disk entanglement entropies. Coming from the same numerical evaluation in the lattice, each coefficient is cross checked by the other, testing in this way the two results simultaneously. |
1502.07690 | Siavash Golkar | Siavash Golkar, Matthew M. Roberts | Viscosities and shift in a chiral superfluid: a holographic study | 18 pages, 8 figures | null | null | null | hep-th cond-mat.supr-con | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a holographic model of chiral superfluidity whose bulk is
Einstein Yang-Mills and compute viscosity and conductivity responses away from
the probe limit. We calculate Hall viscosity and analyze its relationship to
the superfluid density and the shift. We find that the relationship between
these quantities derived from effective field theory at zero temperature
persists for all temperatures: for $p\pm ip$ their ratio is equal to $\mp1/2$.
At low temperatures the system develops a Lifshitz throat, indicating an
anisotropic scaling symmetry in the infrared dynamics.
| [
{
"created": "Thu, 26 Feb 2015 19:37:14 GMT",
"version": "v1"
}
] | 2015-02-27 | [
[
"Golkar",
"Siavash",
""
],
[
"Roberts",
"Matthew M.",
""
]
] | We consider a holographic model of chiral superfluidity whose bulk is Einstein Yang-Mills and compute viscosity and conductivity responses away from the probe limit. We calculate Hall viscosity and analyze its relationship to the superfluid density and the shift. We find that the relationship between these quantities derived from effective field theory at zero temperature persists for all temperatures: for $p\pm ip$ their ratio is equal to $\mp1/2$. At low temperatures the system develops a Lifshitz throat, indicating an anisotropic scaling symmetry in the infrared dynamics. |
hep-th/9608035 | Hans-Christian Pauli | Hans-Christian Pauli (Max-Planck-Institut f\"ur Kernphysik,
Heidelberg) | Solving Gauge Field Theory by Discretized Light-Cone Quantization | 31 pages, 1 Latex file and 8 Postscript files | null | null | MPIH-V25-1996 | hep-th | null | The canonical front form Hamiltonian for non-Abelian SU(N) gauge theory in
3+1 dimensions is mapped on an effective Hamiltonian which acts only in the
Fock space of one quark and one antiquark. The approach is non-perturbative and
exact. It is based on Discretized Light-Cone Quantization and the Method of
Iterated Resolvents. The method resums the diagrams of perturbation theory to
all orders in the coupling constant and is free of Tamm-Dancoff truncations in
the Fock-space. Emphasis is put on dealing accurately with the many-body
aspects of gauge field theory. Pending future renormalization group analysis
the running coupling is derived to all orders in the bare coupling
constant.~--- The derived effective interaction has an amazingly simple
structure and is gauge invariant and frame independent. It is solvable on a
small computer like a work station. The many-body amplitudes can be retrieved
self-consistently from these solutions, by quadratures without solving another
eigenvalue problem. The structures found allow also for developing simple
phenomenological models consistent with non-Abelian gauge field theory.
| [
{
"created": "Wed, 7 Aug 1996 13:54:05 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Pauli",
"Hans-Christian",
"",
"Max-Planck-Institut für Kernphysik,\n Heidelberg"
]
] | The canonical front form Hamiltonian for non-Abelian SU(N) gauge theory in 3+1 dimensions is mapped on an effective Hamiltonian which acts only in the Fock space of one quark and one antiquark. The approach is non-perturbative and exact. It is based on Discretized Light-Cone Quantization and the Method of Iterated Resolvents. The method resums the diagrams of perturbation theory to all orders in the coupling constant and is free of Tamm-Dancoff truncations in the Fock-space. Emphasis is put on dealing accurately with the many-body aspects of gauge field theory. Pending future renormalization group analysis the running coupling is derived to all orders in the bare coupling constant.~--- The derived effective interaction has an amazingly simple structure and is gauge invariant and frame independent. It is solvable on a small computer like a work station. The many-body amplitudes can be retrieved self-consistently from these solutions, by quadratures without solving another eigenvalue problem. The structures found allow also for developing simple phenomenological models consistent with non-Abelian gauge field theory. |
1505.04131 | Ioannis Papadimitriou | E.J. Lindgren, Ioannis Papadimitriou, Anastasios Taliotis and Joris
Vanhoof | Holographic Hall conductivities from dyonic backgrounds | 45+1 pages, 12 figures; v2 51+1 pages, increased font, separated
plots, added references | null | null | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop a general framework for computing the holographic 2-point
functions and the corresponding conductivities in asymptotically locally AdS
backgrounds with an electric charge density, a constant magentic field, and
possibly non-trivial scalar profiles, for a broad class of
Einstein-Maxwell-Axion-Dilaton theories, including certain Chern-Simons terms.
Holographic renormalization is carried out for any theory in this class and the
computation of the renormalized AC conductivities at zero spatial momentum is
reduced to solving a single decoupled first order Riccati equation. Moreover,
we develop a first order fake supergravity formulalism for dyonic
renormalization group flows in four dimensions, allowing us to construct
analytically infinite families of such backgrounds by specifying a
superpotential at will. These RG flows interpolate between AdS$_4$ in the UV
and a hyperscaling violating Lifshitz geometry in the IR with exponents $1<z<3$
and $\theta=z+1$. For $1<z<2$ the spectrum of fluctuations is gapped and
discrete. Our hope and intention is that this analysis can serve as a manual
for computing the holographic 1- and 2-point functions and the corresponding
transport coefficients in any dyonic background, both in the context of AdS/CMT
and AdS/QCD.
| [
{
"created": "Fri, 15 May 2015 17:17:06 GMT",
"version": "v1"
},
{
"created": "Mon, 25 May 2015 18:01:41 GMT",
"version": "v2"
}
] | 2015-05-26 | [
[
"Lindgren",
"E. J.",
""
],
[
"Papadimitriou",
"Ioannis",
""
],
[
"Taliotis",
"Anastasios",
""
],
[
"Vanhoof",
"Joris",
""
]
] | We develop a general framework for computing the holographic 2-point functions and the corresponding conductivities in asymptotically locally AdS backgrounds with an electric charge density, a constant magentic field, and possibly non-trivial scalar profiles, for a broad class of Einstein-Maxwell-Axion-Dilaton theories, including certain Chern-Simons terms. Holographic renormalization is carried out for any theory in this class and the computation of the renormalized AC conductivities at zero spatial momentum is reduced to solving a single decoupled first order Riccati equation. Moreover, we develop a first order fake supergravity formulalism for dyonic renormalization group flows in four dimensions, allowing us to construct analytically infinite families of such backgrounds by specifying a superpotential at will. These RG flows interpolate between AdS$_4$ in the UV and a hyperscaling violating Lifshitz geometry in the IR with exponents $1<z<3$ and $\theta=z+1$. For $1<z<2$ the spectrum of fluctuations is gapped and discrete. Our hope and intention is that this analysis can serve as a manual for computing the holographic 1- and 2-point functions and the corresponding transport coefficients in any dyonic background, both in the context of AdS/CMT and AdS/QCD. |
hep-th/9706221 | Alessandra Buonanno | A. Buonanno, K.A. Meissner, C. Ungarelli, G. Veneziano | Classical Inhomogeneities in String Cosmology | 32 pages, Revtex, 1 figure included, epsfig.sty needed; one reference
added | Phys.Rev. D57 (1998) 2543-2556 | 10.1103/PhysRevD.57.2543 | CERN-TH/97-124 | hep-th gr-qc | null | We generalize previous work on inhomogeneous pre-big bang cosmology by
including the effect of non-trivial moduli and antisymmetric-tensor/axion
fields. The general quasi-homogeneous asymptotic solution---as one approaches
the big bang singularity from perturbative initial data---is given and its
range of validity is discussed, allowing us to give a general quantitative
estimate of the amount of inflation obtained during the perturbative pre-big
bang era. The question of determining early-time ``attractors'' for generic
pre-big bang cosmologies is also addressed, and a motivated conjecture is
advanced. We also discuss S-duality-related features of the solutions, and
speculate on the way an asymptotic T-duality symmetry may act on moduli space
as one approaches the big bang.
| [
{
"created": "Mon, 30 Jun 1997 16:20:28 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Jul 1997 16:39:08 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Buonanno",
"A.",
""
],
[
"Meissner",
"K. A.",
""
],
[
"Ungarelli",
"C.",
""
],
[
"Veneziano",
"G.",
""
]
] | We generalize previous work on inhomogeneous pre-big bang cosmology by including the effect of non-trivial moduli and antisymmetric-tensor/axion fields. The general quasi-homogeneous asymptotic solution---as one approaches the big bang singularity from perturbative initial data---is given and its range of validity is discussed, allowing us to give a general quantitative estimate of the amount of inflation obtained during the perturbative pre-big bang era. The question of determining early-time ``attractors'' for generic pre-big bang cosmologies is also addressed, and a motivated conjecture is advanced. We also discuss S-duality-related features of the solutions, and speculate on the way an asymptotic T-duality symmetry may act on moduli space as one approaches the big bang. |
2004.03446 | Alexey Loginov | A. Yu. Loginov (1), V. V. Gauzshtein (2) ((1) Tomsk State University
of Control Systems and Radioelectronics, Tomsk, Russia, (2) Tomsk Polytechnic
University, Tomsk, Russia) | Radially excited $U\left(1\right)$ gauged $Q$-balls | 20 pages, 13 figures | Phys. Rev. D 102, 025010 (2020) | 10.1103/PhysRevD.102.025010 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Radially excited $U(1)$ gauged $Q$-balls are studied using both analytical
and numerical methods. Unlike the nongauged case, there exists only a finite
number of radially excited gauged $Q$-balls at given values of the model's
parameters. Similarly to the unexcited gauged $Q$-ball, the radially excited
one cannot possess the Noether charge exceeding some limiting value. This
limiting Noether charge decreases with an increase in the radial excitation of
the gauged $Q$-ball. For $n$-th radial excitation, there is a maximum allowable
value of the gauge coupling constant, and the existence of the $n$-th radially
excited gauged $Q$-ball becomes impossible if the gauge coupling constant
exceeds this limiting value. Similarly to the limiting Noether charge, the
limiting gauge coupling constant decreases with an increase in the radial
excitation. At a fixed Noether charge, the energy of the gauged $Q$-ball
increases with an increase in the radial excitation, and thus the radially
excited gauged $Q$-ball is unstable against transit into a less excited or
unexcited one.
| [
{
"created": "Tue, 7 Apr 2020 14:48:37 GMT",
"version": "v1"
}
] | 2020-07-15 | [
[
"Loginov",
"A. Yu.",
""
],
[
"Gauzshtein",
"V. V.",
""
]
] | Radially excited $U(1)$ gauged $Q$-balls are studied using both analytical and numerical methods. Unlike the nongauged case, there exists only a finite number of radially excited gauged $Q$-balls at given values of the model's parameters. Similarly to the unexcited gauged $Q$-ball, the radially excited one cannot possess the Noether charge exceeding some limiting value. This limiting Noether charge decreases with an increase in the radial excitation of the gauged $Q$-ball. For $n$-th radial excitation, there is a maximum allowable value of the gauge coupling constant, and the existence of the $n$-th radially excited gauged $Q$-ball becomes impossible if the gauge coupling constant exceeds this limiting value. Similarly to the limiting Noether charge, the limiting gauge coupling constant decreases with an increase in the radial excitation. At a fixed Noether charge, the energy of the gauged $Q$-ball increases with an increase in the radial excitation, and thus the radially excited gauged $Q$-ball is unstable against transit into a less excited or unexcited one. |
2209.06836 | Steven B. Giddings | Steven B. Giddings and Julie Perkins | Perturbative quantum evolution of the gravitational state and dressing
in general backgrounds | 24 pages + refs. v2: improved treatment of constraints, added
appendix on constraints generating gauge transformations, update on
connection to other work, other small improvements v3: minor clarifications
in response to referee comments | null | 10.1103/PhysRevD.110.026012 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper sets up a perturbative treatment of the evolving quantum state of
a gravitational system, in a Schr\"odinger-like picture, working about a
general background. This connects gauge symmetry, the constraints,
gravitational dressing, and evolution. Starting with a general time slicing, we
give a simple derivation of the relation between the constraints, the
hamiltonian, and its well-known boundary term. Among different approaches to
quantization with constraints, we focus on a "gauge-invariant canonical
quantization," which is developed perturbatively in the gravitational coupling.
The leading-order solution of the constraints (including the Wheeler-DeWitt
equation) for perturbations about the background is given in terms of an
explicit construction of gravitational dressings built using certain
generalized Green functions; different such dressings corresponding to adding
propagating gravitational waves to a particular solution of the constraints.
Dressed operators commute with the constraints, expressing their gauge
invariance, and have an algebraic structure differing significantly from the
undressed operators of the underlying field theory. These operators can act on
the vacuum to create dressed states, and evolution of general such states is
then generated by the boundary hamiltonian, and alternately may be
characterized using other relational observables. This provides a concrete
approach to studying perturbative time evolution, including the leading
gravitational backreaction, of quantum states of black holes with flat or anti
de Sitter asymptotics, for example on horizon-crossing slices. This description
of evolution in turn provides a starting point for investigating possibly
important corrections to quantum evolution, that go beyond quantized general
relativity.
| [
{
"created": "Wed, 14 Sep 2022 18:00:02 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Jun 2023 18:20:07 GMT",
"version": "v2"
},
{
"created": "Wed, 17 Jul 2024 05:13:11 GMT",
"version": "v3"
}
] | 2024-07-18 | [
[
"Giddings",
"Steven B.",
""
],
[
"Perkins",
"Julie",
""
]
] | This paper sets up a perturbative treatment of the evolving quantum state of a gravitational system, in a Schr\"odinger-like picture, working about a general background. This connects gauge symmetry, the constraints, gravitational dressing, and evolution. Starting with a general time slicing, we give a simple derivation of the relation between the constraints, the hamiltonian, and its well-known boundary term. Among different approaches to quantization with constraints, we focus on a "gauge-invariant canonical quantization," which is developed perturbatively in the gravitational coupling. The leading-order solution of the constraints (including the Wheeler-DeWitt equation) for perturbations about the background is given in terms of an explicit construction of gravitational dressings built using certain generalized Green functions; different such dressings corresponding to adding propagating gravitational waves to a particular solution of the constraints. Dressed operators commute with the constraints, expressing their gauge invariance, and have an algebraic structure differing significantly from the undressed operators of the underlying field theory. These operators can act on the vacuum to create dressed states, and evolution of general such states is then generated by the boundary hamiltonian, and alternately may be characterized using other relational observables. This provides a concrete approach to studying perturbative time evolution, including the leading gravitational backreaction, of quantum states of black holes with flat or anti de Sitter asymptotics, for example on horizon-crossing slices. This description of evolution in turn provides a starting point for investigating possibly important corrections to quantum evolution, that go beyond quantized general relativity. |
hep-th/9612034 | Serge E. Parkhomenko | S.E. Parkhomenko (Landau Ins. for Theoretical Physics) | Poisson-Lie T-duality in N=2 Superconformal Field Theories | 10 pages, latex | JETP Lett. 64 (1996) 877-883 | 10.1134/1.567238 | null | hep-th | null | The supersymmetric generalization of Poisson-Lie T-duality in superconformal
WZNW models is considered. It is shown that the classical N=2 superconformal
WZNW models posses a natural Poisson-Lie symmetry which allows to construct
dual $\sigma$- models.
| [
{
"created": "Tue, 3 Dec 1996 13:04:41 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Dec 1996 11:34:14 GMT",
"version": "v2"
},
{
"created": "Thu, 20 Feb 1997 16:54:35 GMT",
"version": "v3"
}
] | 2009-10-30 | [
[
"Parkhomenko",
"S. E.",
"",
"Landau Ins. for Theoretical Physics"
]
] | The supersymmetric generalization of Poisson-Lie T-duality in superconformal WZNW models is considered. It is shown that the classical N=2 superconformal WZNW models posses a natural Poisson-Lie symmetry which allows to construct dual $\sigma$- models. |
1410.2206 | Naofumi Hama | Naofumi Hama, Tatsuma Nishioka and Tomonori Ugajin | Supersymmetric R\'enyi Entropy in Five Dimensions | 27pages; v2 typos corrected; v3 minor improvements, to be published | null | 10.1007/JHEP12(2014)048 | YITP-14-78, UT-14-40 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce supersymmetric R\'enyi entropies for $\mathcal{N}=1$
supersymmetric gauge theories in five dimensions. The matrix model
representation is obtained using the localization method and the large-$N$
behavior is studied. The gravity dual is a supersymmetric charged topological
AdS$_6$ black hole in the Romans $F(4)$ supergravity. The variation of the
supersymmetric R\'enyi entropy due to the insertion of a BPS Wilson loop is
computed. We find perfect agreements between the large-$N$ and the dual gravity
computations both with and without the Wilson loop operator.
| [
{
"created": "Wed, 8 Oct 2014 18:24:38 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Oct 2014 07:17:59 GMT",
"version": "v2"
},
{
"created": "Fri, 5 Dec 2014 06:54:14 GMT",
"version": "v3"
}
] | 2015-06-23 | [
[
"Hama",
"Naofumi",
""
],
[
"Nishioka",
"Tatsuma",
""
],
[
"Ugajin",
"Tomonori",
""
]
] | We introduce supersymmetric R\'enyi entropies for $\mathcal{N}=1$ supersymmetric gauge theories in five dimensions. The matrix model representation is obtained using the localization method and the large-$N$ behavior is studied. The gravity dual is a supersymmetric charged topological AdS$_6$ black hole in the Romans $F(4)$ supergravity. The variation of the supersymmetric R\'enyi entropy due to the insertion of a BPS Wilson loop is computed. We find perfect agreements between the large-$N$ and the dual gravity computations both with and without the Wilson loop operator. |
1901.07492 | Roldao da Rocha | A. Fernandes-Silva, A. J. Ferreira-Martins, R. da Rocha | Extended quantum portrait of MGD black holes and information entropy | 9 pages, 7 figures, matches the published version | Phys. Lett. B 791 (2019) 323 | 10.1016/j.physletb.2019.03.010 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The extended minimal geometric deformation (EMGD) is employed on the fluid
membrane paradigm, to describe compact stellar objects as Bose--Einstein
condensates (BEC) consisting of gravitons. The black hole quantum portrait,
besides deriving a preciser phenomenological bound for the fluid brane tension,
is then scrutinized from the point of view of the configurational entropy. It
yields a range for the critical density of the EMGD BEC, whose configurational
entropy has global minima suggesting the configurational stability of the EMGD
BEC.
| [
{
"created": "Tue, 22 Jan 2019 18:12:07 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Mar 2019 18:51:25 GMT",
"version": "v2"
}
] | 2019-03-14 | [
[
"Fernandes-Silva",
"A.",
""
],
[
"Ferreira-Martins",
"A. J.",
""
],
[
"da Rocha",
"R.",
""
]
] | The extended minimal geometric deformation (EMGD) is employed on the fluid membrane paradigm, to describe compact stellar objects as Bose--Einstein condensates (BEC) consisting of gravitons. The black hole quantum portrait, besides deriving a preciser phenomenological bound for the fluid brane tension, is then scrutinized from the point of view of the configurational entropy. It yields a range for the critical density of the EMGD BEC, whose configurational entropy has global minima suggesting the configurational stability of the EMGD BEC. |
1403.2797 | Achilleas Porfyriadis | Shahar Hadar, Achilleas P. Porfyriadis, Andrew Strominger | Gravity Waves from Extreme-Mass-Ratio Plunges into Kerr Black Holes | 20 pages, 1 figure | Phys. Rev. D 90, 064045 (2014) | 10.1103/PhysRevD.90.064045 | null | hep-th astro-ph.HE gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Massive objects orbiting a near-extreme Kerr black hole quickly plunge into
the horizon after passing the innermost stable circular orbit. The plunge
trajectory is shown to be related by a conformal map to a circular orbit.
Conformal symmetry of the near-horizon region is then used to compute the
gravitational radiation produced during the plunge phase.
| [
{
"created": "Wed, 12 Mar 2014 02:58:28 GMT",
"version": "v1"
}
] | 2014-10-07 | [
[
"Hadar",
"Shahar",
""
],
[
"Porfyriadis",
"Achilleas P.",
""
],
[
"Strominger",
"Andrew",
""
]
] | Massive objects orbiting a near-extreme Kerr black hole quickly plunge into the horizon after passing the innermost stable circular orbit. The plunge trajectory is shown to be related by a conformal map to a circular orbit. Conformal symmetry of the near-horizon region is then used to compute the gravitational radiation produced during the plunge phase. |
1207.3830 | Kiril Hristov | Kiril Hristov | Lessons from the Vacuum Structure of 4d N=2 Supergravity | 209 pages; PhD thesis, defended 1 June 2012, advisor Stefan Vandoren;
v2 minor corrections | null | null | ITP-UU-12/26; SPIN-12/24 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This PhD thesis is devoted to the study of supersymmetry preserving
background solutions of N=2 supergravity in 4 dimensions. The main contents are
divided into three major parts, briefly summarized as follows. Part I deals
with analysis of maximally supersymmetric configurations. Part II discusses BPS
black holes with Minkowski and anti-de Sitter (AdS) asymptotics. The main
topics in part III are superalgebras, BPS bounds and conserved charges for
asymptotically flat or AdS spacetimes. Most of the chapters are based on
previously published results with the exception of chapter 10 in part III,
which is genuinely new and discusses the superalgebras of black hole
configurations and their near-horizon geometries. A no-go theorem for static
BPS black holes in AdS is proven in theories without hypermultiplets and the
analogous situation in 5d is briefly explained.
| [
{
"created": "Mon, 16 Jul 2012 21:56:25 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Mar 2013 18:47:16 GMT",
"version": "v2"
}
] | 2015-03-20 | [
[
"Hristov",
"Kiril",
""
]
] | This PhD thesis is devoted to the study of supersymmetry preserving background solutions of N=2 supergravity in 4 dimensions. The main contents are divided into three major parts, briefly summarized as follows. Part I deals with analysis of maximally supersymmetric configurations. Part II discusses BPS black holes with Minkowski and anti-de Sitter (AdS) asymptotics. The main topics in part III are superalgebras, BPS bounds and conserved charges for asymptotically flat or AdS spacetimes. Most of the chapters are based on previously published results with the exception of chapter 10 in part III, which is genuinely new and discusses the superalgebras of black hole configurations and their near-horizon geometries. A no-go theorem for static BPS black holes in AdS is proven in theories without hypermultiplets and the analogous situation in 5d is briefly explained. |
hep-th/9501143 | null | S.A.Frolov | Gauge-invariant Hamiltonian formulation of lattice Yang-Mills theory and
the Heisenberg double | 11 pages, latex, no figures | Mod.Phys.Lett. A10 (1995) 2619-2632 | 10.1142/S0217732395002751 | LMU-TPW 95-1 | hep-th | null | It it known that to get the usual Hamiltonian formulation of lattice
Yang-Mills theory in the temporal gauge $A_{0}=0$ one should place on every
link the cotangent bundle of a Lie group. The cotangent bundle may be
considered as a limiting case of a so called Heisenberg double of a Lie group
which is one of the basic objects in the theory of Lie-Poisson and quantum
groups. It is shown in the paper that there is a generalization of the usual
Hamiltonian formulation to the case of the Heisenberg double.
| [
{
"created": "Tue, 31 Jan 1995 18:09:49 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Frolov",
"S. A.",
""
]
] | It it known that to get the usual Hamiltonian formulation of lattice Yang-Mills theory in the temporal gauge $A_{0}=0$ one should place on every link the cotangent bundle of a Lie group. The cotangent bundle may be considered as a limiting case of a so called Heisenberg double of a Lie group which is one of the basic objects in the theory of Lie-Poisson and quantum groups. It is shown in the paper that there is a generalization of the usual Hamiltonian formulation to the case of the Heisenberg double. |
1908.05118 | Ming Zhang | Ming Zhang, Robert B. Mann | Charged accelerating black hole in $f(R)$ gravity | 9 pages | Phys. Rev. D 100, 084061 (2019) | 10.1103/PhysRevD.100.084061 | null | hep-th gr-qc | http://creativecommons.org/licenses/by-sa/4.0/ | We obtain a charged accelerating AdS black hole solution in $f(R)$ gravity
and investigate its thermodynamic behaviour. We consider low-acceleration black
holes that do not have an acceleration horizon and obtain the first law of
thermodynamics for them. We further study the parameter space of charged slowly
accelerating $f(R)$ AdS black holes before investigating the behaviour of the
free energy in both the canonical and grand canonical ensembles. We find a
generalization of the reverse isoperimetric inequality, applicable to black
holes in $f(R)$ gravity, that indicates these black holes can become
super-entropic relative to their counterparts in Einstein gravity.
| [
{
"created": "Wed, 14 Aug 2019 13:35:16 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Aug 2019 23:50:24 GMT",
"version": "v2"
}
] | 2019-11-06 | [
[
"Zhang",
"Ming",
""
],
[
"Mann",
"Robert B.",
""
]
] | We obtain a charged accelerating AdS black hole solution in $f(R)$ gravity and investigate its thermodynamic behaviour. We consider low-acceleration black holes that do not have an acceleration horizon and obtain the first law of thermodynamics for them. We further study the parameter space of charged slowly accelerating $f(R)$ AdS black holes before investigating the behaviour of the free energy in both the canonical and grand canonical ensembles. We find a generalization of the reverse isoperimetric inequality, applicable to black holes in $f(R)$ gravity, that indicates these black holes can become super-entropic relative to their counterparts in Einstein gravity. |
hep-th/0601161 | Alejandra Melfo | Alejandra Melfo, Nelson Pantoja and Jose David Tempo | Fermion localization on thick branes | 8 pages, 3 figures | Phys.Rev.D73:044033,2006 | 10.1103/PhysRevD.73.044033 | null | hep-th | null | We consider chiral fermion confinement in scalar thick branes, which are
known to localize gravity, coupled through a Yukawa term. The conditions for
the confinement and their behavior in the thin-wall limit are found for various
different BPS branes, including double walls and branes interpolating between
different AdS_5 spacetimes. We show that only one massless chiral mode is
localized in all these walls, whenever the wall thickness is keep finite. We
also show that, independently of wall's thickness, chiral fermionic modes
cannot be localized in dS_4 walls embedded in a M_5 spacetime. Finally, massive
fermions in double wall spacetimes are also investigated. We find that, besides
the massless chiral mode localization, these double walls support
quasi-localized massive modes of both chiralities.
| [
{
"created": "Fri, 20 Jan 2006 22:16:52 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Melfo",
"Alejandra",
""
],
[
"Pantoja",
"Nelson",
""
],
[
"Tempo",
"Jose David",
""
]
] | We consider chiral fermion confinement in scalar thick branes, which are known to localize gravity, coupled through a Yukawa term. The conditions for the confinement and their behavior in the thin-wall limit are found for various different BPS branes, including double walls and branes interpolating between different AdS_5 spacetimes. We show that only one massless chiral mode is localized in all these walls, whenever the wall thickness is keep finite. We also show that, independently of wall's thickness, chiral fermionic modes cannot be localized in dS_4 walls embedded in a M_5 spacetime. Finally, massive fermions in double wall spacetimes are also investigated. We find that, besides the massless chiral mode localization, these double walls support quasi-localized massive modes of both chiralities. |
1809.07208 | Marcela C\'ardenas | Marcela C\'ardenas, Oscar Fuentealba, Hern\'an A. Gonz\'alez, Daniel
Grumiller, Carlos Valc\'arcel and Dmitri Vassilevich | Boundary theories for dilaton supergravity in 2D | 40 pages, no figures | JHEP 1811 (2018) 077 | 10.1007/JHEP11(2018)077 | TUW-18-05 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The $\mathfrak{osp}(2,N)$-BF formulation of dilaton supergravity in two
dimensions is considered. We introduce a consistent class of asymptotic
conditions preserved by the extended superreparametrization group of the
thermal circle at infinity. In the $N=1$ and $N=2$ cases the phase space
foliation in terms of orbits of the super-Virasoro group allows to formulate
suitable integrability conditions for the boundary terms that render the
variational principle well-defined. Once regularity conditions are imposed,
requiring trivial holonomy around the contractible cycle the asymptotic
symmetries are broken to some subsets of exact isometries. Different coadjoint
orbits of the asymptotic symmetry group yield different types of boundary
dynamics; we find that the action principle can be reduced to either the
extended super-Schwarzian theory, consistent with the dynamics of a
non-vanishing Casimir function, or to superparticle models, compatible with
bulk configurations whose Casimir is zero. These results are generalized to
$\mathcal{N} \geq 3$ by making use of boundary conditions consistent with the
loop group of OSp$(2,N)$. Appropriate integrability conditions permit to reduce
the dynamics of dilaton supergravity to a particle moving on the OSp$(2,N)$
group manifold. Generalizations of the boundary dynamics for $\mathcal{N}>2$
are obtained once bulk geometries are supplemented with super-AdS$_2$
asymptotics.
| [
{
"created": "Wed, 19 Sep 2018 14:18:13 GMT",
"version": "v1"
}
] | 2018-11-22 | [
[
"Cárdenas",
"Marcela",
""
],
[
"Fuentealba",
"Oscar",
""
],
[
"González",
"Hernán A.",
""
],
[
"Grumiller",
"Daniel",
""
],
[
"Valcárcel",
"Carlos",
""
],
[
"Vassilevich",
"Dmitri",
""
]
] | The $\mathfrak{osp}(2,N)$-BF formulation of dilaton supergravity in two dimensions is considered. We introduce a consistent class of asymptotic conditions preserved by the extended superreparametrization group of the thermal circle at infinity. In the $N=1$ and $N=2$ cases the phase space foliation in terms of orbits of the super-Virasoro group allows to formulate suitable integrability conditions for the boundary terms that render the variational principle well-defined. Once regularity conditions are imposed, requiring trivial holonomy around the contractible cycle the asymptotic symmetries are broken to some subsets of exact isometries. Different coadjoint orbits of the asymptotic symmetry group yield different types of boundary dynamics; we find that the action principle can be reduced to either the extended super-Schwarzian theory, consistent with the dynamics of a non-vanishing Casimir function, or to superparticle models, compatible with bulk configurations whose Casimir is zero. These results are generalized to $\mathcal{N} \geq 3$ by making use of boundary conditions consistent with the loop group of OSp$(2,N)$. Appropriate integrability conditions permit to reduce the dynamics of dilaton supergravity to a particle moving on the OSp$(2,N)$ group manifold. Generalizations of the boundary dynamics for $\mathcal{N}>2$ are obtained once bulk geometries are supplemented with super-AdS$_2$ asymptotics. |
1807.07079 | Sebastian Zell | Cesar Gomez, Raoul Letschka, Sebastian Zell | The Scales of the Infrared | 27 pages, 1 appendix; v2: matches published version | JHEP 1809 (2018) 115 | 10.1007/JHEP09(2018)115 | LMU-ASC 41/18 | hep-th gr-qc hep-ph quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In theories with long-range forces like QED or perturbative gravity, loop
corrections lead to vanishing amplitudes. There are two well-known procedures
to address these infrared divergences: dressing of asymptotic states and
inclusion of soft emission. Although both yield the same IR-finite rates, we
point out that they are not equivalent since they encode different infrared
scales. In particular, dressing states are independent of the resolution scale
of radiation. Instead, they define radiative vacua in the von Neumann space.
After a review of these concepts, the goal of this paper is to present a
combined formalism that can simultaneously describe both dressing and
radiation. This unified approach allows us to tackle the problem of quantum
decoherence due to tracing over unresolved radiation. We obtain an IR-finite
density matrix with non-vanishing off-diagonal elements and estimate how its
purity depends on scattering kinematics and the resolution scale. Along the
way, we comment on collinear divergences as well as the connection of large
gauge transformations and dressing.
| [
{
"created": "Wed, 18 Jul 2018 18:00:02 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Jul 2019 16:23:53 GMT",
"version": "v2"
}
] | 2019-07-31 | [
[
"Gomez",
"Cesar",
""
],
[
"Letschka",
"Raoul",
""
],
[
"Zell",
"Sebastian",
""
]
] | In theories with long-range forces like QED or perturbative gravity, loop corrections lead to vanishing amplitudes. There are two well-known procedures to address these infrared divergences: dressing of asymptotic states and inclusion of soft emission. Although both yield the same IR-finite rates, we point out that they are not equivalent since they encode different infrared scales. In particular, dressing states are independent of the resolution scale of radiation. Instead, they define radiative vacua in the von Neumann space. After a review of these concepts, the goal of this paper is to present a combined formalism that can simultaneously describe both dressing and radiation. This unified approach allows us to tackle the problem of quantum decoherence due to tracing over unresolved radiation. We obtain an IR-finite density matrix with non-vanishing off-diagonal elements and estimate how its purity depends on scattering kinematics and the resolution scale. Along the way, we comment on collinear divergences as well as the connection of large gauge transformations and dressing. |
hep-th/0301067 | Dmitri Sorokin | Mikhail Plyushchay, Dmitri Sorokin and Mirian Tsulaia | Higher Spins from Tensorial Charges and OSp(N|2n) Symmetry | LaTeX, 21 page (JHEP style), misprints corrected, added comments on
the relation of results of hep-th/0106149 with hep-th/9904109 and
hep-th/9907113, references added | JHEP 0304:013,2003 | 10.1088/1126-6708/2003/04/013 | USACH-FM-03-01, DFPD 03/TH/02 | hep-th | null | It is shown that the quantization of a superparticle propagating in an N=1,
D=4 superspace extended with tensorial coordinates results in an infinite tower
of massless spin states satisfying the Vasiliev unfolded equations for free
higher spin fields in flat and AdS_4 N=1 superspace. The tensorial extension of
the AdS_4 superspace is proved to be a supergroup manifold OSp(1|4). The model
is manifestly invariant under an OSp(N|8) (N=1,2) superconformal symmetry. As a
byproduct, we find that the Cartan forms of arbitrary Sp(2n) and OSp(1|2n)
groups are GL(2n) flat, i.e. they are equivalent to flat Cartan forms up to a
GL(2n) rotation. This property is crucial for carrying out the quantization of
the particle model on OSp(1|4) and getting the higher spin field dynamics in
super AdS_4, which can be performed in a way analogous to the flat case.
| [
{
"created": "Fri, 10 Jan 2003 22:01:02 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Apr 2003 14:36:38 GMT",
"version": "v2"
}
] | 2010-02-03 | [
[
"Plyushchay",
"Mikhail",
""
],
[
"Sorokin",
"Dmitri",
""
],
[
"Tsulaia",
"Mirian",
""
]
] | It is shown that the quantization of a superparticle propagating in an N=1, D=4 superspace extended with tensorial coordinates results in an infinite tower of massless spin states satisfying the Vasiliev unfolded equations for free higher spin fields in flat and AdS_4 N=1 superspace. The tensorial extension of the AdS_4 superspace is proved to be a supergroup manifold OSp(1|4). The model is manifestly invariant under an OSp(N|8) (N=1,2) superconformal symmetry. As a byproduct, we find that the Cartan forms of arbitrary Sp(2n) and OSp(1|2n) groups are GL(2n) flat, i.e. they are equivalent to flat Cartan forms up to a GL(2n) rotation. This property is crucial for carrying out the quantization of the particle model on OSp(1|4) and getting the higher spin field dynamics in super AdS_4, which can be performed in a way analogous to the flat case. |
2403.12375 | Takahiro Azuma | Takahiro Azuma (1), Takao Koikawa (2)((1) Dokkyo University, (2)
Institute of Human Culture Studies, Otsuma Women's University) | Gauge Theoretical Method in Solving Zero-curvature Equations I. --
Application to the Static Einstein-Maxwell Equations with Magnetic Charge | 24 pages, 2 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The inverse scattering problem is applied to 2-dimensional partial
differential equations called soliton equations such as the KdV equation and so
on. It is also used to integrate the Einstein equations with axial symmetry.
These inverse scattering problems look different. We show that they can be
understood in a unified way. As an application to the Einstein equation, we
find solutions of the Einstein-Maxwell equations with magnetic charge.
| [
{
"created": "Tue, 19 Mar 2024 02:37:15 GMT",
"version": "v1"
}
] | 2024-03-20 | [
[
"Azuma",
"Takahiro",
""
],
[
"Koikawa",
"Takao",
""
]
] | The inverse scattering problem is applied to 2-dimensional partial differential equations called soliton equations such as the KdV equation and so on. It is also used to integrate the Einstein equations with axial symmetry. These inverse scattering problems look different. We show that they can be understood in a unified way. As an application to the Einstein equation, we find solutions of the Einstein-Maxwell equations with magnetic charge. |
1811.08889 | David Andriot | David Andriot, Christoph Roupec | Further refining the de Sitter swampland conjecture | v2: few clarifications, references added, published version | null | 10.1002/prop.201800105 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose an alternative refined de Sitter conjecture. It is given by a
natural condition on a combination of the first and second derivatives of the
scalar potential. We derive our conjecture in the same weak coupling,
semi-classical regime where the previous refined de Sitter conjecture was
derived, using the same tools together with a few more assumptions that we
discuss. We further test and constrain free parameters in our conjecture using
data points of a classical type IIA supergravity setup. Interestingly, our
conjecture easily accommodates slow-roll single field inflation with a concave
potential, favored by observations. The standard quintessence potential is in
tension with our new conjecture, and we thus propose a different type of
quintessence model.
| [
{
"created": "Wed, 21 Nov 2018 18:59:21 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Feb 2019 15:17:32 GMT",
"version": "v2"
}
] | 2021-07-28 | [
[
"Andriot",
"David",
""
],
[
"Roupec",
"Christoph",
""
]
] | We propose an alternative refined de Sitter conjecture. It is given by a natural condition on a combination of the first and second derivatives of the scalar potential. We derive our conjecture in the same weak coupling, semi-classical regime where the previous refined de Sitter conjecture was derived, using the same tools together with a few more assumptions that we discuss. We further test and constrain free parameters in our conjecture using data points of a classical type IIA supergravity setup. Interestingly, our conjecture easily accommodates slow-roll single field inflation with a concave potential, favored by observations. The standard quintessence potential is in tension with our new conjecture, and we thus propose a different type of quintessence model. |
1504.00368 | Silviu Pufu | Ethan Dyer, M\'ark Mezei, Silviu S. Pufu, and Subir Sachdev | Scaling dimensions of monopole operators in the $\mathbb{CP}^{N_b - 1}$
theory in $2+1$ dimensions | 29 pages + Appendices, 3 figures; v2 corrected an important minus
sign error and made various improvements | JHEP 1506 (2015) 037, Erratum 1603 (2016) 111 | 10.1007/JHEP06(2015)037, 10.1007/JHEP03(2016)111 | PUPT-2479 | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study monopole operators at the conformal critical point of the
$\mathbb{CP}^{N_b - 1}$ theory in $2+1$ spacetime dimensions. Using the
state-operator correspondence and a saddle point approximation, we compute the
scaling dimensions of these operators to next-to-leading order in $1/N_b$. We
find remarkable agreement between our results and numerical studies of quantum
antiferromagnets on two-dimensional lattices with SU($N_b$) global symmetry,
using the mapping of the monopole operators to valence bond solid order
parameters of the lattice antiferromagnet.
| [
{
"created": "Wed, 1 Apr 2015 20:00:54 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Feb 2016 20:03:50 GMT",
"version": "v2"
}
] | 2016-04-25 | [
[
"Dyer",
"Ethan",
""
],
[
"Mezei",
"Márk",
""
],
[
"Pufu",
"Silviu S.",
""
],
[
"Sachdev",
"Subir",
""
]
] | We study monopole operators at the conformal critical point of the $\mathbb{CP}^{N_b - 1}$ theory in $2+1$ spacetime dimensions. Using the state-operator correspondence and a saddle point approximation, we compute the scaling dimensions of these operators to next-to-leading order in $1/N_b$. We find remarkable agreement between our results and numerical studies of quantum antiferromagnets on two-dimensional lattices with SU($N_b$) global symmetry, using the mapping of the monopole operators to valence bond solid order parameters of the lattice antiferromagnet. |
hep-th/0404206 | Yuuichirou Shibusa | Yuuichirou Shibusa (RIKEN) | Path integral formulation of noncommutative superspace in IKKT matrix
model | 13 pages, 1 figure | Prog.Theor.Phys. 112 (2004) 687-697 | null | RIKEN-TH-22 | hep-th | null | We propose a physical interpretation of our novel fermionic solution for the
IKKT matrix model which obtained in our previous paper hep-th/0307236. We
extend the configuration space of bosonic field to supernumbers space and
obtain the noncommutative parameter which is not bi-grassmann but an ordinary
number. This establishes the connection between Seiberg's noncommutative
superspace and our solution of the IKKT matrix model.
| [
{
"created": "Tue, 27 Apr 2004 09:44:15 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Shibusa",
"Yuuichirou",
"",
"RIKEN"
]
] | We propose a physical interpretation of our novel fermionic solution for the IKKT matrix model which obtained in our previous paper hep-th/0307236. We extend the configuration space of bosonic field to supernumbers space and obtain the noncommutative parameter which is not bi-grassmann but an ordinary number. This establishes the connection between Seiberg's noncommutative superspace and our solution of the IKKT matrix model. |
hep-th/0603243 | Jeong-Hyuck Park | Johanna Erdmenger, Jeong-Hyuck Park and Corneliu Sochichiu | Matrix models for D-particle dynamics and the string/black hole
transition | 1+36 pages, No figure; an interpretation changed, Refs. added;
Connection to Liouville theory added, to be published in CQG | Class.Quant.Grav.23:6873-6898,2006 | 10.1088/0264-9381/23/23/017 | MPP-2006-37 | hep-th | null | For a generic two-dimensional 0A string background, we map the
Dirac-Born-Infeld action to a matrix model. This is achieved using a canonical
transformation. The action describes D0-branes in this background, while the
matrix model has a potential which encodes all the information of the
background geometry. We apply this formalism to specific backgrounds: For
Rindler space, we obtain a matrix model with an upside-down quadratic
potential, while for AdS_2 space, the potential is linear. Furthermore we
analyze the black hole geometry with RR flux. In particular, we show that at
the Hagedorn temperature, the resulting matrix model coincides with the one for
the linear dilaton background. We interpret this result as a realization of the
string/black hole transition.
| [
{
"created": "Thu, 30 Mar 2006 16:54:21 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Jun 2006 11:15:13 GMT",
"version": "v2"
},
{
"created": "Sun, 24 Sep 2006 08:06:17 GMT",
"version": "v3"
}
] | 2009-05-13 | [
[
"Erdmenger",
"Johanna",
""
],
[
"Park",
"Jeong-Hyuck",
""
],
[
"Sochichiu",
"Corneliu",
""
]
] | For a generic two-dimensional 0A string background, we map the Dirac-Born-Infeld action to a matrix model. This is achieved using a canonical transformation. The action describes D0-branes in this background, while the matrix model has a potential which encodes all the information of the background geometry. We apply this formalism to specific backgrounds: For Rindler space, we obtain a matrix model with an upside-down quadratic potential, while for AdS_2 space, the potential is linear. Furthermore we analyze the black hole geometry with RR flux. In particular, we show that at the Hagedorn temperature, the resulting matrix model coincides with the one for the linear dilaton background. We interpret this result as a realization of the string/black hole transition. |
hep-th/9112050 | null | Luis E. Ibanez | Topics in String Unification | 22 pages. Talk given at the ``Workshop on Electroweak Physics Beyond
the Standard Model'', Valencia, 3-5 October 1991 | null | null | null | hep-th | null | I discuss several aspects of strings as unified theories. After recalling the
difficulties of the simplest supersymmetric grand unification schemes I
emphasize the distinct features of string unification. An important role in
constraining the effective low energy physics from strings is played by
$duality$ symmetries. The discussed topics include the unification of coupling
constants (computation of $\sin ^2\theta _W$ and $\alpha _s$ at the weak
scale), supersymmetry breaking through gaugino condensation, and properties of
the induced SUSY-breaking soft terms. I remark that departures from
universality in the soft terms are (in contrast to the minimal SUSY model)
generically expected.
| [
{
"created": "Thu, 19 Dec 1991 13:42:08 GMT",
"version": "v1"
}
] | 2008-02-06 | [
[
"Ibanez",
"Luis E.",
""
]
] | I discuss several aspects of strings as unified theories. After recalling the difficulties of the simplest supersymmetric grand unification schemes I emphasize the distinct features of string unification. An important role in constraining the effective low energy physics from strings is played by $duality$ symmetries. The discussed topics include the unification of coupling constants (computation of $\sin ^2\theta _W$ and $\alpha _s$ at the weak scale), supersymmetry breaking through gaugino condensation, and properties of the induced SUSY-breaking soft terms. I remark that departures from universality in the soft terms are (in contrast to the minimal SUSY model) generically expected. |
hep-th/0206211 | Aleynikov Dmitriy Vyacheslavovich | D.V. Aleynikov, E.A. Tolkachev | Kustaanheimo-Stiefel transformation and static zero modes of Dirac
operator | 6 pages | null | null | null | hep-th | null | By exploiting the relation between static zero modes of massless Dirac
operator and Kustaanheimo-Stiefel (Hopf) bundle sections, a general zero modes
Ansatz which depends on an arbitrary real vector-function on $R^3$ is
constructed.
| [
{
"created": "Mon, 24 Jun 2002 08:50:22 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Aleynikov",
"D. V.",
""
],
[
"Tolkachev",
"E. A.",
""
]
] | By exploiting the relation between static zero modes of massless Dirac operator and Kustaanheimo-Stiefel (Hopf) bundle sections, a general zero modes Ansatz which depends on an arbitrary real vector-function on $R^3$ is constructed. |
hep-th/0601208 | Seyen Kouwn | Akira Ishida, Yoonbai Kim, Seyen Kouwn | Homogeneous Rolling Tachyons in Boundary String Field Theory | 15 pages, 8 figures | Phys.Lett.B638:265-271,2006 | 10.1016/j.physletb.2006.05.028 | null | hep-th | null | We study decay of a flat unstable D$p$-brane in the context of boundary
string field theory action. Three types of homogeneous rolling tachyons are
obtained without and with Born-Infeld type electromagnetic field.
| [
{
"created": "Fri, 27 Jan 2006 20:25:56 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Ishida",
"Akira",
""
],
[
"Kim",
"Yoonbai",
""
],
[
"Kouwn",
"Seyen",
""
]
] | We study decay of a flat unstable D$p$-brane in the context of boundary string field theory action. Three types of homogeneous rolling tachyons are obtained without and with Born-Infeld type electromagnetic field. |
hep-th/0009117 | Ysmyung | Y. S. Myung | Localization of graviphoton and graviscalar on the brane | 10 pages, comments and references added | J.Korean Phys.Soc. 43 (2003) 663-669 | null | INJE-TP-00-06 | hep-th | null | The question of whether the Kaluza-Klein (KK) graviphoton $h_{5\mu}$ and
graviscalar $h_{55}$ are localized or not on the brane is one of the important
issues. In this letter, we address this problem in five dimensions. Here we
consider the massless (zero-mode) propagations without requiring the
Z$_2$-symmetry on $h_{5\mu}$. We obtain the graviton $h_{\mu\nu}$, graviphoton,
and graviscalar exchange amplitudes on shell. We find that the graviscalar has
a tachyonic mass. It turns out that $h_{5\mu}$ admits the localized zero-modes
on the brane while $h_{55}$ does not have a localized zero-mode. This is
contrasted to the fact that the bulk spin-0 field has a localized zero-mode on
the brane but the bulk spin-1 field does not have a localized solution in five
dimensions.
| [
{
"created": "Fri, 15 Sep 2000 10:26:10 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Oct 2000 02:06:14 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Myung",
"Y. S.",
""
]
] | The question of whether the Kaluza-Klein (KK) graviphoton $h_{5\mu}$ and graviscalar $h_{55}$ are localized or not on the brane is one of the important issues. In this letter, we address this problem in five dimensions. Here we consider the massless (zero-mode) propagations without requiring the Z$_2$-symmetry on $h_{5\mu}$. We obtain the graviton $h_{\mu\nu}$, graviphoton, and graviscalar exchange amplitudes on shell. We find that the graviscalar has a tachyonic mass. It turns out that $h_{5\mu}$ admits the localized zero-modes on the brane while $h_{55}$ does not have a localized zero-mode. This is contrasted to the fact that the bulk spin-0 field has a localized zero-mode on the brane but the bulk spin-1 field does not have a localized solution in five dimensions. |
hep-th/0605190 | Csaba Balazs | Csaba Balazs and Istvan Szapudi | Holographic Quantum Statistics from Dual Thermodynamics | 10 pages | AIP Conf.Proc.903:560-563,2007 | 10.1063/1.2735247 | ANL-HEP-PR-06-43 | hep-th gr-qc hep-ph | null | We propose dual thermodynamics corresponding to black hole mechanics with the
identifications E' -> A/4, S' -> M, and T' -> 1/T in Planck units. Here A, M
and T are the horizon area, mass and Hawking temperature of a black hole and
E', S' and T' are the energy, entropy and temperature of a corresponding dual
quantum system. We show that, for a Schwarzschild black hole, the dual
variables formally satisfy all three laws of thermodynamics, including the
Planck-Nernst form of the third law requiring that the entropy tend to zero at
low temperature. This is in contrast with traditional black hole
thermodynamics, where the entropy is singular. Once the third law is satisfied,
it is straightforward to construct simple (dual) quantum systems representing
black hole mechanics. As an example, we construct toy models from one
dimensional (Fermi or Bose) quantum gases with N ~ M in a Planck scale box. In
addition to recovering black hole mechanics, we obtain quantum corrections to
the entropy, including the logarithmic correction obtained by previous papers.
The energy-entropy duality transforms a strongly interacting gravitational
system (black hole) into a weakly interacting quantum system (quantum gas) and
thus provides a natural framework for the quantum statistics underlying the
holographic conjecture.
| [
{
"created": "Thu, 18 May 2006 20:01:42 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Balazs",
"Csaba",
""
],
[
"Szapudi",
"Istvan",
""
]
] | We propose dual thermodynamics corresponding to black hole mechanics with the identifications E' -> A/4, S' -> M, and T' -> 1/T in Planck units. Here A, M and T are the horizon area, mass and Hawking temperature of a black hole and E', S' and T' are the energy, entropy and temperature of a corresponding dual quantum system. We show that, for a Schwarzschild black hole, the dual variables formally satisfy all three laws of thermodynamics, including the Planck-Nernst form of the third law requiring that the entropy tend to zero at low temperature. This is in contrast with traditional black hole thermodynamics, where the entropy is singular. Once the third law is satisfied, it is straightforward to construct simple (dual) quantum systems representing black hole mechanics. As an example, we construct toy models from one dimensional (Fermi or Bose) quantum gases with N ~ M in a Planck scale box. In addition to recovering black hole mechanics, we obtain quantum corrections to the entropy, including the logarithmic correction obtained by previous papers. The energy-entropy duality transforms a strongly interacting gravitational system (black hole) into a weakly interacting quantum system (quantum gas) and thus provides a natural framework for the quantum statistics underlying the holographic conjecture. |
0810.1243 | Daniel Jafferis | Daniel Louis Jafferis, Xi Yin | Chern-Simons-Matter Theory and Mirror Symmetry | 21 pages | null | null | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we study supersymmetric Chern-Simons-matter (CSM) theories with
several Higgs branches. Two such theories at small Chern-Simons level are
conjectured to describe the superconformal field theory at the infrared fixed
point of N = 4 QED with N_f = 2, 3. In particular, the mirror symmetry which
exchanges the Coulomb and Higgs branches of N = 4 QED with N_f = 2 is manifest
in the Chern-Simons-matter description. We also study the quantum corrections
to the moduli space of a class of N = 2 CSM theories.
| [
{
"created": "Tue, 7 Oct 2008 18:18:06 GMT",
"version": "v1"
}
] | 2008-10-08 | [
[
"Jafferis",
"Daniel Louis",
""
],
[
"Yin",
"Xi",
""
]
] | In this paper we study supersymmetric Chern-Simons-matter (CSM) theories with several Higgs branches. Two such theories at small Chern-Simons level are conjectured to describe the superconformal field theory at the infrared fixed point of N = 4 QED with N_f = 2, 3. In particular, the mirror symmetry which exchanges the Coulomb and Higgs branches of N = 4 QED with N_f = 2 is manifest in the Chern-Simons-matter description. We also study the quantum corrections to the moduli space of a class of N = 2 CSM theories. |
2209.12083 | Gustavo Xavier Antunes Petronilo Msc. | M. Abu-Shady, Renato R. Luz, G. X. A. Petronilo, R. G. G. Amorim, A.
E. Santana | Fractional Effective Quark-Antiquark Interaction in Symplectic Quantum
Mechanics | 7 pages, 2 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate within the formalism of Symplectic Quantum Mechanics a
two-dimensional non-relativistic strong interacting system that represents the
bound heavy quark-antiquark state, where it was considered a linear potential
in the context of generalized fractional derivatives. For this purpose, it was
solved the Schr\"odinger equation in phase space with the linear potential. The
solution (ground state) is obtained, analyzed through the Wigner function
comparing with the original solution, the Airy function for the meson
$c\overline{c}$. The identified eigenfunctions are connected to the Wigner
function via the Weyl product and the Galilei group representation theory in
phase space. In some ways, compared to the wave function, the Wigner function
makes it simpler to see how the meson system is non-classical.
| [
{
"created": "Sat, 24 Sep 2022 20:31:48 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Oct 2022 09:38:36 GMT",
"version": "v2"
},
{
"created": "Thu, 20 Apr 2023 23:51:30 GMT",
"version": "v3"
}
] | 2023-04-24 | [
[
"Abu-Shady",
"M.",
""
],
[
"Luz",
"Renato R.",
""
],
[
"Petronilo",
"G. X. A.",
""
],
[
"Amorim",
"R. G. G.",
""
],
[
"Santana",
"A. E.",
""
]
] | We investigate within the formalism of Symplectic Quantum Mechanics a two-dimensional non-relativistic strong interacting system that represents the bound heavy quark-antiquark state, where it was considered a linear potential in the context of generalized fractional derivatives. For this purpose, it was solved the Schr\"odinger equation in phase space with the linear potential. The solution (ground state) is obtained, analyzed through the Wigner function comparing with the original solution, the Airy function for the meson $c\overline{c}$. The identified eigenfunctions are connected to the Wigner function via the Weyl product and the Galilei group representation theory in phase space. In some ways, compared to the wave function, the Wigner function makes it simpler to see how the meson system is non-classical. |
hep-th/9303113 | Stefano Forte | Stefano Forte (INFN Torino, Italy) | Anomaly-Induced Magnetic Screening in 2+1 dimensional QED at Finite
Density | 8 pages, DFTT-93-10 [ Eq.(15) and (16) were scrambled in previous
version ] | Phys.Rev.Lett. 71 (1993) 1303-1306 | 10.1103/PhysRevLett.71.1303 | null | hep-th | null | We show that in 2+1 dimensional Quantum Electrodynamics an external magnetic
field applied to a finite density of massless fermions is screened, due to a
$2+1$-dimensional realization of the underlying $2$-dimensional axial anomaly
of the space components of the electric current. This is shown to imply
screening of the magnetic field, i.e., the Meissner effect. We discuss the
physical implications of this result.
| [
{
"created": "Fri, 19 Mar 1993 18:07:15 GMT",
"version": "v1"
},
{
"created": "Thu, 20 May 1993 13:31:21 GMT",
"version": "v2"
}
] | 2009-10-22 | [
[
"Forte",
"Stefano",
"",
"INFN Torino, Italy"
]
] | We show that in 2+1 dimensional Quantum Electrodynamics an external magnetic field applied to a finite density of massless fermions is screened, due to a $2+1$-dimensional realization of the underlying $2$-dimensional axial anomaly of the space components of the electric current. This is shown to imply screening of the magnetic field, i.e., the Meissner effect. We discuss the physical implications of this result. |
hep-th/9805145 | Wolfgang Mueck | W. M\"uck and K. S. Viswanathan | Conformal Field Theory Correlators from Classical Field Theory on
Anti-de Sitter Space II. Vector and Spinor Fields | 14 pages, LaTeX2e with amsmath,amsfonts packages; v2:interactions
section corrected, reference added | Phys.Rev.D58:106006,1998 | 10.1103/PhysRevD.58.106006 | null | hep-th | null | We use the AdS/CFT correspondence to calculate CFT correlation functions of
vector and spinor fields. The connection between the AdS and boundary fields is
properly treated via a Dirichlet boundary value problem.
| [
{
"created": "Thu, 21 May 1998 23:10:37 GMT",
"version": "v1"
},
{
"created": "Fri, 29 May 1998 21:24:56 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Mück",
"W.",
""
],
[
"Viswanathan",
"K. S.",
""
]
] | We use the AdS/CFT correspondence to calculate CFT correlation functions of vector and spinor fields. The connection between the AdS and boundary fields is properly treated via a Dirichlet boundary value problem. |
1910.11277 | Joe Davighi | Joe Davighi, Ben Gripaios, Nakarin Lohitsiri | Global anomalies in the Standard Model(s) and Beyond | 59 pages, 11 figures. Section on the SO(18) GUT removed; paragraph
added concerning non-nullbordant spacetimes; minor corrections and references
updated | null | 10.1007/JHEP07(2020)232 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyse global anomalies and related constraints in the Standard Model
(SM) and various Beyond the Standard Model (BSM) theories. We begin by
considering four distinct, but equally valid, versions of the SM, in which the
gauge group is taken to be $G=G_{\text{SM}}/\Gamma_n$, with
$G_{\text{SM}}=SU(3)\times SU(2) \times U(1)$ and $\Gamma_n$ isomorphic to
$\mathbb{Z}/n$ where $n\in\left\{1,2,3,6\right\}$. In addition to deriving
constraints on the hypercharges of fields transforming in arbitrary
representations of the $SU(3)\times SU(2)$ factor, we study the possibility of
global anomalies in theories with these gauge groups by computing the bordism
groups $\Omega^{\text{Spin}}_5(BG)$ using the Atiyah-Hirzebruch spectral
sequence. In two cases we show that there are no global anomalies beyond the
Witten anomaly, while in the other cases we show that there are no global
anomalies at all, illustrating the subtle interplay between local and global
anomalies. While freedom from global anomalies has been previously shown for
the specific fermion content of the SM by embedding the SM in an anomaly-free
$SU(5)$ GUT, our results here remain true when the SM fermion content is
extended arbitrarily. Going beyond the SM gauge groups, we show that there are
no new global anomalies in extensions of the (usual) SM gauge group by $U(1)^m$
for any integer $m$, which correspond to phenomenologically well-motivated BSM
theories featuring multiple $Z^\prime$ bosons. Nor do we find any new global
anomalies in various grand unified theories, including Pati-Salam and
trinification models. We also consider global anomalies in a family of theories
with gauge group $SU(N)\times Sp(M)\times U(1)$, which share the phase
structure of the SM for certain $(N, M)$.
| [
{
"created": "Thu, 24 Oct 2019 16:44:42 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Nov 2019 14:40:19 GMT",
"version": "v2"
},
{
"created": "Tue, 26 May 2020 16:02:54 GMT",
"version": "v3"
}
] | 2020-08-26 | [
[
"Davighi",
"Joe",
""
],
[
"Gripaios",
"Ben",
""
],
[
"Lohitsiri",
"Nakarin",
""
]
] | We analyse global anomalies and related constraints in the Standard Model (SM) and various Beyond the Standard Model (BSM) theories. We begin by considering four distinct, but equally valid, versions of the SM, in which the gauge group is taken to be $G=G_{\text{SM}}/\Gamma_n$, with $G_{\text{SM}}=SU(3)\times SU(2) \times U(1)$ and $\Gamma_n$ isomorphic to $\mathbb{Z}/n$ where $n\in\left\{1,2,3,6\right\}$. In addition to deriving constraints on the hypercharges of fields transforming in arbitrary representations of the $SU(3)\times SU(2)$ factor, we study the possibility of global anomalies in theories with these gauge groups by computing the bordism groups $\Omega^{\text{Spin}}_5(BG)$ using the Atiyah-Hirzebruch spectral sequence. In two cases we show that there are no global anomalies beyond the Witten anomaly, while in the other cases we show that there are no global anomalies at all, illustrating the subtle interplay between local and global anomalies. While freedom from global anomalies has been previously shown for the specific fermion content of the SM by embedding the SM in an anomaly-free $SU(5)$ GUT, our results here remain true when the SM fermion content is extended arbitrarily. Going beyond the SM gauge groups, we show that there are no new global anomalies in extensions of the (usual) SM gauge group by $U(1)^m$ for any integer $m$, which correspond to phenomenologically well-motivated BSM theories featuring multiple $Z^\prime$ bosons. Nor do we find any new global anomalies in various grand unified theories, including Pati-Salam and trinification models. We also consider global anomalies in a family of theories with gauge group $SU(N)\times Sp(M)\times U(1)$, which share the phase structure of the SM for certain $(N, M)$. |
1908.10244 | Elizabeth Winstanley | Victor E. Ambrus and Elizabeth Winstanley | Exact solutions in quantum field theory under rotation | 40 pages, 5 figures, minor changes, book chapter submitted to
"Strongly Interacting Matter Under Rotation", edited by F. Becattini, J. Liao
and M. Lisa | Lecture Notes in Physics 987, pages 95-135 (2021) | 10.1007/978-3-030-71427-7_4 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the construction and properties of rigidly-rotating states for
free scalar and fermion fields in quantum field theory. On unbounded Minkowski
space-time, we explain why such states do not exist for scalars. For the Dirac
field, we are able to construct rotating vacuum and thermal states, for which
expectation values can be computed exactly in the massless case. We compare
these quantum expectation values with the corresponding quantities derived in
relativistic kinetic theory.
| [
{
"created": "Tue, 27 Aug 2019 14:49:56 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Apr 2021 15:55:48 GMT",
"version": "v2"
}
] | 2021-12-21 | [
[
"Ambrus",
"Victor E.",
""
],
[
"Winstanley",
"Elizabeth",
""
]
] | We discuss the construction and properties of rigidly-rotating states for free scalar and fermion fields in quantum field theory. On unbounded Minkowski space-time, we explain why such states do not exist for scalars. For the Dirac field, we are able to construct rotating vacuum and thermal states, for which expectation values can be computed exactly in the massless case. We compare these quantum expectation values with the corresponding quantities derived in relativistic kinetic theory. |
hep-th/9411201 | Taichi Itoh | Taichi Itoh, Yoonbai Kim, Masaki Sugiura, and Koichi Yamawaki | Thirring Model as a Gauge Theory | 33 pages | Prog.Theor.Phys. 93 (1995) 417-440 | 10.1143/PTP.93.417 | DPNU-94-52 | hep-th hep-lat hep-ph | null | We reformulate the Thirring model in $D$ $(2 \le D < 4)$ dimensions as a
gauge theory by introducing $U(1)$ hidden local symmetry (HLS) and study the
dynamical mass generation of the fermion through the Schwinger-Dyson (SD)
equation. By virtue of such a gauge symmetry we can greatly simplify the
analysis of the SD equation by taking the most appropriate gauge (``nonlocal
gauge'') for the HLS.
In the case of even-number of (2-component) fermions, we find the dynamical
fermion mass generation as the second order phase transition at certain fermion
number, which breaks the chiral symmetry but preserves the parity in (2+1)
dimensions ($D=3$). In the infinite four-fermion coupling (massless gauge
boson) limit in (2+1) dimensions, the result coincides with that of the
(2+1)-dimensional QED, with the critical number of the 4-component fermion
being $N_{\rm cr} = \frac{128}{3\pi^{2}}$. As to the case of odd-number
(2-component) fermion in (2+1) dimensions, the regularization ambiguity on the
induced Chern-Simons term may be resolved by specifying the regularization so
as to preserve the HLS.
Our method also applies to the (1+1) dimensions, the result being consistent
with the exact solution. The bosonization mechanism in (1+1) dimensional
Thirring model is also reproduced in the context of dual-transformed theory for
the HLS.
| [
{
"created": "Mon, 28 Nov 1994 13:30:58 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Nov 1994 08:04:45 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Itoh",
"Taichi",
""
],
[
"Kim",
"Yoonbai",
""
],
[
"Sugiura",
"Masaki",
""
],
[
"Yamawaki",
"Koichi",
""
]
] | We reformulate the Thirring model in $D$ $(2 \le D < 4)$ dimensions as a gauge theory by introducing $U(1)$ hidden local symmetry (HLS) and study the dynamical mass generation of the fermion through the Schwinger-Dyson (SD) equation. By virtue of such a gauge symmetry we can greatly simplify the analysis of the SD equation by taking the most appropriate gauge (``nonlocal gauge'') for the HLS. In the case of even-number of (2-component) fermions, we find the dynamical fermion mass generation as the second order phase transition at certain fermion number, which breaks the chiral symmetry but preserves the parity in (2+1) dimensions ($D=3$). In the infinite four-fermion coupling (massless gauge boson) limit in (2+1) dimensions, the result coincides with that of the (2+1)-dimensional QED, with the critical number of the 4-component fermion being $N_{\rm cr} = \frac{128}{3\pi^{2}}$. As to the case of odd-number (2-component) fermion in (2+1) dimensions, the regularization ambiguity on the induced Chern-Simons term may be resolved by specifying the regularization so as to preserve the HLS. Our method also applies to the (1+1) dimensions, the result being consistent with the exact solution. The bosonization mechanism in (1+1) dimensional Thirring model is also reproduced in the context of dual-transformed theory for the HLS. |
hep-th/0301144 | Shesansu Sekhar Pal | Anindya Biswas, Sudipta Mukherji and Shesansu Sekhar Pal | Nonsingular Cosmologies from Branes | 20 pages, 6 figures, Latex, references added. Journal version | Int.J.Mod.Phys.A19:557-574,2004 | 10.1142/S0217751X04017513 | null | hep-th astro-ph gr-qc | null | We analyse possible cosmological scenarios on a brane where the brane acts as
a dynamical boundary of various black holes with anti-de Sitter or de Sitter
asymptotics. In many cases, the brane is found to describe completely
non-singular universe. In some cases, quantum gravity era of the brane-universe
can also be avoided by properly tuning bulk parameters. We further discuss the
creation of a brane-universe by studying its wave function. This is done by
employing Wheeler-De Witt equation in the mini superspace formalism.
| [
{
"created": "Mon, 20 Jan 2003 14:48:57 GMT",
"version": "v1"
},
{
"created": "Sat, 8 Feb 2003 04:44:54 GMT",
"version": "v2"
},
{
"created": "Thu, 25 Sep 2003 06:09:57 GMT",
"version": "v3"
}
] | 2009-07-06 | [
[
"Biswas",
"Anindya",
""
],
[
"Mukherji",
"Sudipta",
""
],
[
"Pal",
"Shesansu Sekhar",
""
]
] | We analyse possible cosmological scenarios on a brane where the brane acts as a dynamical boundary of various black holes with anti-de Sitter or de Sitter asymptotics. In many cases, the brane is found to describe completely non-singular universe. In some cases, quantum gravity era of the brane-universe can also be avoided by properly tuning bulk parameters. We further discuss the creation of a brane-universe by studying its wave function. This is done by employing Wheeler-De Witt equation in the mini superspace formalism. |
hep-th/0410038 | Hiroshi Takai | Hiroshi Takai | A Duality for Yang-Mills Moduli Spaces on Noncommutative Manifolds | 27 pages (Latex 2e) | null | null | null | hep-th | null | Studied are the moduli spaces of Yang-Mills connections on finitely generated
projective modules associated with noncommutative flows. It is actually shown
that they are homeomorphic to those on the dual modules associated with the
dual noncommutative flows. Moreover the result is also affirmative in the case
of multiflows. As an important application, computed are the moduli spaces of
the instanton bundles over the noncommutative Euclidean 4-space with respect to
the canonical action of space translations without using the ADHM-construction.
| [
{
"created": "Tue, 5 Oct 2004 04:42:53 GMT",
"version": "v1"
},
{
"created": "Sat, 6 Nov 2004 06:37:09 GMT",
"version": "v2"
},
{
"created": "Tue, 8 Feb 2005 08:09:20 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Takai",
"Hiroshi",
""
]
] | Studied are the moduli spaces of Yang-Mills connections on finitely generated projective modules associated with noncommutative flows. It is actually shown that they are homeomorphic to those on the dual modules associated with the dual noncommutative flows. Moreover the result is also affirmative in the case of multiflows. As an important application, computed are the moduli spaces of the instanton bundles over the noncommutative Euclidean 4-space with respect to the canonical action of space translations without using the ADHM-construction. |
hep-th/9706181 | Jeeva S. Anandan | Jeeva Anandan | Global Topology and Local Violation of Discrete Symmetries | 12 pages, 1 figure, latex, Revtex. Charge conjugation which is
physically implemented in a cosmology with the appropriate topology is
described in more detail. Some minor errors are corrected. Shortened to meet
the page limit of Physical Review Letters to which this paper was submitted | Phys.Rev.Lett.81:1363-1366,1998 | 10.1103/PhysRevLett.81.1363 | null | hep-th gr-qc quant-ph | null | Cosmological models that are locally consistent with general relativity and
the standard model in which an object transported around the universe undergoes
P, C and CP transformations, are constructed. This leads to generalization of
the gauge fields that describe electro-weak and strong interactions by
enlarging the gauge groups to include anti-unitary transformations. Gedanken
experiments show that if all interactions obey Einstein causality then P, C and
CP cannot be violated in these models. But another model, which would violate
charge superselection rule even for an isolated system, is allowed. It is
suggested that the fundamental physical laws must have these discrete
symmetries which are broken spontaneously, or they must be non causal.
| [
{
"created": "Wed, 25 Jun 1997 16:32:43 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Jul 1997 16:16:06 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Anandan",
"Jeeva",
""
]
] | Cosmological models that are locally consistent with general relativity and the standard model in which an object transported around the universe undergoes P, C and CP transformations, are constructed. This leads to generalization of the gauge fields that describe electro-weak and strong interactions by enlarging the gauge groups to include anti-unitary transformations. Gedanken experiments show that if all interactions obey Einstein causality then P, C and CP cannot be violated in these models. But another model, which would violate charge superselection rule even for an isolated system, is allowed. It is suggested that the fundamental physical laws must have these discrete symmetries which are broken spontaneously, or they must be non causal. |
1806.07595 | Feng-Li Lin | Wu-zhong Guo, Feng-Li Lin and Jiaju Zhang | Non-geometric States in a Holographic Conformal Field Theory | 19 pages, v2 match the published version | Phys. Rev. D 99, 106001 (2019) | 10.1103/PhysRevD.99.106001 | NCTS-TH/1808 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the AdS$_3$/CFT$_2$ correspondence, we find some conformal field theory
(CFT) states that have no bulk description by the Ba\~nados geometry. We
elaborate the constraints for a CFT state to be geometric, i.e., having a dual
Ba\~nados metric, by comparing the order of central charge of the
entanglement/R\'enyi entropy obtained respectively from the holographic method
and the replica trick in CFT. We find that the geometric CFT states fulfill
Bohr's correspondence principle by reducing the quantum KdV hierarchy to its
classical counterpart. We call the CFT states that satisfy the geometric
constraints geometric states, and otherwise non-geometric states. We give
examples of both the geometric and non-geometric states, with the latter case
including the superposition states and descendant states.
| [
{
"created": "Wed, 20 Jun 2018 07:54:41 GMT",
"version": "v1"
},
{
"created": "Tue, 28 May 2019 14:30:26 GMT",
"version": "v2"
}
] | 2019-05-29 | [
[
"Guo",
"Wu-zhong",
""
],
[
"Lin",
"Feng-Li",
""
],
[
"Zhang",
"Jiaju",
""
]
] | In the AdS$_3$/CFT$_2$ correspondence, we find some conformal field theory (CFT) states that have no bulk description by the Ba\~nados geometry. We elaborate the constraints for a CFT state to be geometric, i.e., having a dual Ba\~nados metric, by comparing the order of central charge of the entanglement/R\'enyi entropy obtained respectively from the holographic method and the replica trick in CFT. We find that the geometric CFT states fulfill Bohr's correspondence principle by reducing the quantum KdV hierarchy to its classical counterpart. We call the CFT states that satisfy the geometric constraints geometric states, and otherwise non-geometric states. We give examples of both the geometric and non-geometric states, with the latter case including the superposition states and descendant states. |
1010.5508 | Vladimir Belavin | V.Belavin | Torus Amplitudes in Minimal Liouville Gravity and Matrix Models | 10 pages | Phys.Lett.B698:86-90,2011 | 10.1016/j.physletb.2011.03.003 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We evaluate one-point correlation numbers on the torus in the Liouville
theory coupled to the conformal matter M(2,2p+1). We find agreement with the
recent results obtained in the matrix model approach.
| [
{
"created": "Tue, 26 Oct 2010 20:06:56 GMT",
"version": "v1"
}
] | 2011-03-21 | [
[
"Belavin",
"V.",
""
]
] | We evaluate one-point correlation numbers on the torus in the Liouville theory coupled to the conformal matter M(2,2p+1). We find agreement with the recent results obtained in the matrix model approach. |
hep-th/9612017 | Jerzy Lukierski | Jerzy Lukierski, Peter C. Stichel, Wojtek J. Zakrzewski | Galilean-Invariant (2+1)-Dimensional Models with a Chern-Simons-Like
Term and D=2 N oncommutative Geometry | small changes to make the paper look identical to the published
version | Annals Phys. 260 (1997) 224-249 | 10.1006/aphy.1997.5729 | null | hep-th | null | We consider a new D=2 nonrelativistic classical mechanics model providing via
the Noether theorem the (2+1)-Galilean symmetry algebra with two central
charges: mass m and the coupling constant k of a Chern-Simons-like term. In
this way we provide the dynamical interpretation of the second central charge
of the (2+1)-dimensional Galilean algebra. We discuss also the interpretation
of k as describing the noncommutativity of D=2 space coordinates. The model is
quantized in two ways: using the Ostrogradski-Dirac formalism for higher order
Lagrangians with constraints and the Faddeev-Jackiw method which describes
constrained systems and produces nonstandard symplectic structures. We show
that our model describes the superposition of a free motion in noncommutative
D=2 space as well as the "internal" oscillator modes. We add a suitably chosen
class of velocity-dependent two-particle interactions, which is descrobed by
local potentials in D=2 noncommutative space. We treat, in detail, the
particular case of a harmonic oscillator and describe its quantization. It
appears that the indefinite metric due to the third order time derivative term
in the field equations, even in the presence of interactions, can be eliminated
by the imposition of a subsidiary condition.
| [
{
"created": "Mon, 2 Dec 1996 11:55:16 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Aug 2002 17:45:27 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Lukierski",
"Jerzy",
""
],
[
"Stichel",
"Peter C.",
""
],
[
"Zakrzewski",
"Wojtek J.",
""
]
] | We consider a new D=2 nonrelativistic classical mechanics model providing via the Noether theorem the (2+1)-Galilean symmetry algebra with two central charges: mass m and the coupling constant k of a Chern-Simons-like term. In this way we provide the dynamical interpretation of the second central charge of the (2+1)-dimensional Galilean algebra. We discuss also the interpretation of k as describing the noncommutativity of D=2 space coordinates. The model is quantized in two ways: using the Ostrogradski-Dirac formalism for higher order Lagrangians with constraints and the Faddeev-Jackiw method which describes constrained systems and produces nonstandard symplectic structures. We show that our model describes the superposition of a free motion in noncommutative D=2 space as well as the "internal" oscillator modes. We add a suitably chosen class of velocity-dependent two-particle interactions, which is descrobed by local potentials in D=2 noncommutative space. We treat, in detail, the particular case of a harmonic oscillator and describe its quantization. It appears that the indefinite metric due to the third order time derivative term in the field equations, even in the presence of interactions, can be eliminated by the imposition of a subsidiary condition. |
hep-th/0008183 | Yuri Shtanov | P. I. Fomin and Yu. V. Shtanov (Bogolyubov Institute, Kiev) | Towards Field Theory in Spaces with Multivolume Junctions | 20 pages, 3 figures, revtex; published version | Class.Quant.Grav. 19 (2002) 3139-3152 | 10.1088/0264-9381/19/12/303 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a spacetime formed by several pieces having common timelike
boundary which plays the role of a junction between them. We establish junction
conditions for fields of various spin and derive the resulting laws of wave
propagation through the junction, which turn out to be quite similar for fields
of all spins. As an application, we consider the case of multivolume junctions
in four-dimensional spacetime that may arise in the context of the theory of
quantum creation of a closed universe on the background of a big mother
universe. The theory developed can also be applied to braneworld models and to
the superstring theory.
| [
{
"created": "Wed, 23 Aug 2000 10:02:47 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Sep 2000 14:07:55 GMT",
"version": "v2"
},
{
"created": "Thu, 25 Dec 2008 11:07:38 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Fomin",
"P. I.",
"",
"Bogolyubov Institute, Kiev"
],
[
"Shtanov",
"Yu. V.",
"",
"Bogolyubov Institute, Kiev"
]
] | We consider a spacetime formed by several pieces having common timelike boundary which plays the role of a junction between them. We establish junction conditions for fields of various spin and derive the resulting laws of wave propagation through the junction, which turn out to be quite similar for fields of all spins. As an application, we consider the case of multivolume junctions in four-dimensional spacetime that may arise in the context of the theory of quantum creation of a closed universe on the background of a big mother universe. The theory developed can also be applied to braneworld models and to the superstring theory. |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.