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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1510.02472 | Brandon Robinson | Andreas Karch, Brandon Robinson | Holographic Black Hole Chemistry | 13 pages | null | 10.1007/JHEP12(2015)073 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Thermodynamic quantities associated with black holes in Anti-de Sitter space
obey an interesting identity when the cosmological constant is included as one
of the dynamical variables, the generalized Smarr relation. We show that this
relation can easily be understood from the point of view of the dual
holographic field theory. It amounts to the simple statement that the extensive
thermodynamic quantities of a large $N$ gauge theory only depend on the number
of colors, $N$, via an overall factor of $N^2$.
| [
{
"created": "Thu, 8 Oct 2015 20:04:01 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Nov 2015 18:02:25 GMT",
"version": "v2"
}
] | 2016-01-27 | [
[
"Karch",
"Andreas",
""
],
[
"Robinson",
"Brandon",
""
]
] | Thermodynamic quantities associated with black holes in Anti-de Sitter space obey an interesting identity when the cosmological constant is included as one of the dynamical variables, the generalized Smarr relation. We show that this relation can easily be understood from the point of view of the dual holographic field theory. It amounts to the simple statement that the extensive thermodynamic quantities of a large $N$ gauge theory only depend on the number of colors, $N$, via an overall factor of $N^2$. |
2212.11266 | Ricardo Monteiro | Ricardo Monteiro | From Moyal deformations to chiral higher-spin theories and to celestial
algebras | 30 pages, 3 figures; v2: minor changes | null | 10.1007/JHEP03(2023)062 | QMUL-PH-22-39 | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study the connection of Moyal deformations of self-dual gravity and
self-dual Yang-Mills theory to chiral higher-spin theories, and also to
deformations of operator algebras in celestial holography. The relation to
Moyal deformations illuminates various aspects of the structure of chiral
higher-spin theories. For instance, the appearance of the self-dual kinematic
algebra in all the theories considered here leads via the double copy to
vanishing tree-level scattering amplitudes. Regarding celestial holography, the
Moyal deformation of self-dual gravity was recently shown to lead to the loop
algebra of $W_{\wedge}$, and we obtain here the analogous deformation of a
Kac-Moody algebra corresponding to Moyal-deformed self-dual Yang-Mills theory.
We also introduce the celestial algebras for various chiral higher-spin
theories.
| [
{
"created": "Wed, 21 Dec 2022 18:57:35 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Mar 2023 16:53:44 GMT",
"version": "v2"
}
] | 2023-03-29 | [
[
"Monteiro",
"Ricardo",
""
]
] | We study the connection of Moyal deformations of self-dual gravity and self-dual Yang-Mills theory to chiral higher-spin theories, and also to deformations of operator algebras in celestial holography. The relation to Moyal deformations illuminates various aspects of the structure of chiral higher-spin theories. For instance, the appearance of the self-dual kinematic algebra in all the theories considered here leads via the double copy to vanishing tree-level scattering amplitudes. Regarding celestial holography, the Moyal deformation of self-dual gravity was recently shown to lead to the loop algebra of $W_{\wedge}$, and we obtain here the analogous deformation of a Kac-Moody algebra corresponding to Moyal-deformed self-dual Yang-Mills theory. We also introduce the celestial algebras for various chiral higher-spin theories. |
2205.01140 | Jonathan Harper | Jonathan Harper | Perfect tensor hyperthreads | 69 pages, 52 figures. v2: minor corrections, published version | null | 10.1007/JHEP09(2022)239 | BRX-TH-6705 | hep-th | http://creativecommons.org/licenses/by-nc-sa/4.0/ | Bit threads, a dual description of the Ryu-Takyanagi formula for holographic
entanglement entropy (EE), can be interpreted as a distillation of the quantum
information to a collection of Bell pairs between different boundary regions.
In this article we discuss a generalization to hyperthreads which can connect
more than two boundary regions leading to a rich and diverse class of convex
programs. By modeling the contributions of different species of hyperthreads to
the EEs of perfect tensors we argue that this framework may be useful for
helping us to begin to probe the multipartite entanglement of holographic
systems. Furthermore, we demonstrate how this technology can potentially be
used to understand holographic entropy cone inequalities and may provide an
avenue to address issues of locking.
| [
{
"created": "Mon, 2 May 2022 18:15:25 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Sep 2022 00:48:09 GMT",
"version": "v2"
}
] | 2022-10-19 | [
[
"Harper",
"Jonathan",
""
]
] | Bit threads, a dual description of the Ryu-Takyanagi formula for holographic entanglement entropy (EE), can be interpreted as a distillation of the quantum information to a collection of Bell pairs between different boundary regions. In this article we discuss a generalization to hyperthreads which can connect more than two boundary regions leading to a rich and diverse class of convex programs. By modeling the contributions of different species of hyperthreads to the EEs of perfect tensors we argue that this framework may be useful for helping us to begin to probe the multipartite entanglement of holographic systems. Furthermore, we demonstrate how this technology can potentially be used to understand holographic entropy cone inequalities and may provide an avenue to address issues of locking. |
0706.1980 | Oriol Pujolas | Keisuke Izumi, Kazuya Koyama, Oriol Pujolas and Takahiro Tanaka | Bubbles in the Self-Accelerating Universe | 8 pages, 5 figures | Phys.Rev.D76:104041,2007 | 10.1103/PhysRevD.76.104041 | null | hep-th astro-ph gr-qc | null | We revisit the issue of the stability in the Dvali-Gabadadze-Porrati model,
by considering the nucleation of bubbles of the conventional branch within the
self-accelerating branch. We construct an instanton describing this process in
the thin wall approximation. On one side of the bubble wall, the bulk consists
of the exterior of the brane while on the other side it is the interior. The
solution requires the presence of a 2-brane (the bubble wall) which induces the
transition. However, we show that this instanton cannot be realized as the thin
wall limit of any smooth solution. Once the bubble thickness is resolved, the
equations of motion do not allow O(4) symmetric solutions joining the two
branches. We conclude that the thin wall instanton is unphysical, and that one
cannot have processes connecting the two branches, unless negative tension
bubble walls are introduced. This also suggests that the self-accelerating
branch does not decay into the conventional branch nucleating bubbles. We
comment on other kinds of bubbles that could interpolate between the two
branches.
| [
{
"created": "Wed, 13 Jun 2007 20:10:12 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Izumi",
"Keisuke",
""
],
[
"Koyama",
"Kazuya",
""
],
[
"Pujolas",
"Oriol",
""
],
[
"Tanaka",
"Takahiro",
""
]
] | We revisit the issue of the stability in the Dvali-Gabadadze-Porrati model, by considering the nucleation of bubbles of the conventional branch within the self-accelerating branch. We construct an instanton describing this process in the thin wall approximation. On one side of the bubble wall, the bulk consists of the exterior of the brane while on the other side it is the interior. The solution requires the presence of a 2-brane (the bubble wall) which induces the transition. However, we show that this instanton cannot be realized as the thin wall limit of any smooth solution. Once the bubble thickness is resolved, the equations of motion do not allow O(4) symmetric solutions joining the two branches. We conclude that the thin wall instanton is unphysical, and that one cannot have processes connecting the two branches, unless negative tension bubble walls are introduced. This also suggests that the self-accelerating branch does not decay into the conventional branch nucleating bubbles. We comment on other kinds of bubbles that could interpolate between the two branches. |
hep-th/0612137 | Don N. Page | Don N. Page | Is Our Universe Decaying at an Astronomical Rate? | 4 pages, RevTeX4 | Phys.Lett.B669:197-200,2008 | 10.1016/j.physletb.2008.08.039 | Alberta-Thy-19-06 | hep-th astro-ph gr-qc | null | Unless our universe is decaying at an astronomical rate (i.e., on the present
cosmological timescale of Gigayears, rather than on the quantum recurrence
timescale of googolplexes), it would apparently produce an infinite number of
observers per comoving volume by thermal or vacuum fluctuations (Boltzmann
brains). If the number of ordinary observers per comoving volume is finite,
this scenario seems to imply zero likelihood for us to be ordinary observers
and minuscule likelihoods for our actual observations. Hence, our observations
suggest that this scenario is incorrect and that perhaps our universe is
decaying at an astronomical rate.
| [
{
"created": "Thu, 14 Dec 2006 17:08:43 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Page",
"Don N.",
""
]
] | Unless our universe is decaying at an astronomical rate (i.e., on the present cosmological timescale of Gigayears, rather than on the quantum recurrence timescale of googolplexes), it would apparently produce an infinite number of observers per comoving volume by thermal or vacuum fluctuations (Boltzmann brains). If the number of ordinary observers per comoving volume is finite, this scenario seems to imply zero likelihood for us to be ordinary observers and minuscule likelihoods for our actual observations. Hence, our observations suggest that this scenario is incorrect and that perhaps our universe is decaying at an astronomical rate. |
hep-th/0101233 | Nima Arkani-Hamed | Nima Arkani-Hamed, Thomas Gregoire and Jay Wacker | Higher dimensional supersymmetry in 4D superspace | Typos corrected. Added reference to early work by Marcus, Sagnotti
and Siegel and a term to the non-Abelian Lagrangian for D>5 formally needed
for gauge invariance. The results however remain unchanged | JHEP 0203 (2002) 055 | 10.1088/1126-6708/2002/03/055 | HUTP-01/A004, LBNL-47410, UCB-PTH-01/02 | hep-th | null | We present an explicit formulation of supersymmetric Yang-Mills theories from
$\D=$ 5 to 10 dimensions in the familiar $\N=1,\D=4$ superspace. This provides
the rules for globally supersymmetric model building with extra dimensions and
in particular allows us to simply write down $\N=1$ SUSY preserving
interactions between bulk fields and fields localized on branes. We present a
few applications of the formalism by way of illustration, including
supersymmetric ``shining'' of bulk fields, orbifolds and localization of chiral
fermions, anomaly inflow and super-Chern-Simons theories.
| [
{
"created": "Wed, 31 Jan 2001 23:10:14 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Mar 2001 15:18:31 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Arkani-Hamed",
"Nima",
""
],
[
"Gregoire",
"Thomas",
""
],
[
"Wacker",
"Jay",
""
]
] | We present an explicit formulation of supersymmetric Yang-Mills theories from $\D=$ 5 to 10 dimensions in the familiar $\N=1,\D=4$ superspace. This provides the rules for globally supersymmetric model building with extra dimensions and in particular allows us to simply write down $\N=1$ SUSY preserving interactions between bulk fields and fields localized on branes. We present a few applications of the formalism by way of illustration, including supersymmetric ``shining'' of bulk fields, orbifolds and localization of chiral fermions, anomaly inflow and super-Chern-Simons theories. |
hep-th/0111234 | Schucker | Daniel Kastler, Thomas Schucker | Remarks on Alain Connes' approach to the standard model | 9 pages TeX, dedicated to the memory of E. M. Polivanov | Theor.Math.Phys. 92 (1992) 1075-1080; Teor.Mat.Fiz. 92 (1992)
522-528 | 10.1007/BF01017085 | CPT-92/P.2724 Auteurs Genre Titre | hep-th | null | Our 1992 remarks about Alain Connes' interpretation of the standard model
within his theory of non-commutative riemannian spin manifolds.
| [
{
"created": "Mon, 26 Nov 2001 15:53:57 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Kastler",
"Daniel",
""
],
[
"Schucker",
"Thomas",
""
]
] | Our 1992 remarks about Alain Connes' interpretation of the standard model within his theory of non-commutative riemannian spin manifolds. |
1403.7358 | Kamal Lochan Panigrahi | Aritra Banerjee, Sagar Biswas and Kamal L. Panigrahi | Semiclassical Strings in Supergravity PFT | 21 pages, added clarifications | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Puff Field Theory (PFT) is an example of a non-local field theory which
arises from a novel embedding of D-branes in Melvin universe. We study several
rotating and pulsating string solutions of the F-string equations of motion in
the supergravity dual of the PFT. Further, we find a PP-wave geometry from this
nonlocal spacetime by applying a Penrose limit and comment on its similarity
with the maximally supersymmetric PP-wave background.
| [
{
"created": "Fri, 28 Mar 2014 12:25:17 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Aug 2014 10:36:14 GMT",
"version": "v2"
}
] | 2014-08-29 | [
[
"Banerjee",
"Aritra",
""
],
[
"Biswas",
"Sagar",
""
],
[
"Panigrahi",
"Kamal L.",
""
]
] | Puff Field Theory (PFT) is an example of a non-local field theory which arises from a novel embedding of D-branes in Melvin universe. We study several rotating and pulsating string solutions of the F-string equations of motion in the supergravity dual of the PFT. Further, we find a PP-wave geometry from this nonlocal spacetime by applying a Penrose limit and comment on its similarity with the maximally supersymmetric PP-wave background. |
1410.8180 | Tadashi Okazaki | Tadashi Okazaki | Membrane Quantum Mechanics | 54 pages, v2: errors corrected and notations improved | Nucl.Phys. B890 (2015) 400-441 | 10.1016/j.nuclphysb.2014.11.024 | CALT-TH-2014-159, OU-HET 833 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the multiple M2-branes wrapped on a compact Riemann surface and
study the arising quantum mechanics by taking the limit where the size of the
Riemann surface goes to zero. The IR quantum mechanical models resulting from
the BLG-model and the ABJM-model compactified on a torus are N = 16 and N = 12
superconformal gauged quantum mechanics. After integrating out the auxiliary
gauge fields we find OSp(16|2) and SU(1,1|6) quantum mechanics from the reduced
systems. The curved Riemann surface is taken as a holomorphic curve in a
Calabi-Yau space to preserve supersymmetry and we present a prescription of the
topological twisting. We find the N = 8 superconformal gauged quantum mechanics
that may describe the motion of two wrapped M2-branes in a K3 surface.
| [
{
"created": "Wed, 29 Oct 2014 22:31:48 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Nov 2014 20:45:21 GMT",
"version": "v2"
}
] | 2015-01-22 | [
[
"Okazaki",
"Tadashi",
""
]
] | We consider the multiple M2-branes wrapped on a compact Riemann surface and study the arising quantum mechanics by taking the limit where the size of the Riemann surface goes to zero. The IR quantum mechanical models resulting from the BLG-model and the ABJM-model compactified on a torus are N = 16 and N = 12 superconformal gauged quantum mechanics. After integrating out the auxiliary gauge fields we find OSp(16|2) and SU(1,1|6) quantum mechanics from the reduced systems. The curved Riemann surface is taken as a holomorphic curve in a Calabi-Yau space to preserve supersymmetry and we present a prescription of the topological twisting. We find the N = 8 superconformal gauged quantum mechanics that may describe the motion of two wrapped M2-branes in a K3 surface. |
1005.2779 | Michael R. Douglas | Michael R. Douglas | Spaces of Quantum Field Theories | 16 pages, jpconf macros (included). (v2: fixed typo, added
references) | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The concept of a "space of quantum field theories" or "theory space" was set
out in the 1970's in work of Wilson, Friedan and others. This structure should
play an important role in organizing and classifying QFTs, and in the study of
the string landscape, allowing us to say when two theories are connected by
finite variations of the couplings or by RG flows, when a sequence of QFTs
converges to another QFT, and bounding the amount of information needed to
uniquely specify a QFT, enabling us to estimate their number. As yet we do not
have any definition of theory space which can be used to make such arguments.
In this talk, we will describe various concepts and tools which should be
developed for this purpose, inspired by the analogous mathematical problem of
studying the space of Riemannian manifolds. We state two general conjectures
about the space of two-dimensional conformal field theories, and we define a
distance function on this space, which gives a distance between any pair of
theories, whether or not they are connected by varying moduli.
Based on talks given at QTS6 (University of Kentucky), Erice, Texas A& M, and
Northwestern University. To appear in the proceedings of QTS6.
| [
{
"created": "Sun, 16 May 2010 22:03:13 GMT",
"version": "v1"
},
{
"created": "Tue, 18 May 2010 19:37:26 GMT",
"version": "v2"
}
] | 2015-03-17 | [
[
"Douglas",
"Michael R.",
""
]
] | The concept of a "space of quantum field theories" or "theory space" was set out in the 1970's in work of Wilson, Friedan and others. This structure should play an important role in organizing and classifying QFTs, and in the study of the string landscape, allowing us to say when two theories are connected by finite variations of the couplings or by RG flows, when a sequence of QFTs converges to another QFT, and bounding the amount of information needed to uniquely specify a QFT, enabling us to estimate their number. As yet we do not have any definition of theory space which can be used to make such arguments. In this talk, we will describe various concepts and tools which should be developed for this purpose, inspired by the analogous mathematical problem of studying the space of Riemannian manifolds. We state two general conjectures about the space of two-dimensional conformal field theories, and we define a distance function on this space, which gives a distance between any pair of theories, whether or not they are connected by varying moduli. Based on talks given at QTS6 (University of Kentucky), Erice, Texas A& M, and Northwestern University. To appear in the proceedings of QTS6. |
1801.02615 | Ben Michel | Ben Michel, Andrea Puhm | Corrections in the relative entropy of black hole microstates | 10+7 pages, 4 figures | null | 10.1007/JHEP07(2018)179 | CPHT-RR102.122017 | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Inspired by the recent work of Bao and Ooguri (BO), we study the
distinguishability of the black hole microstates from the thermal state as
captured by the average of their relative entropies: the Holevo information.
Under the assumption that the vacuum conformal block dominates the entropy
calculation, BO find that the average relative entropy vanishes on spatial
regions less than half the size of the CFT. However, vacuum block dominance
fails for some microstates of the $M=0$ BTZ black hole. We show that this
renders the average relative entropy nonzero even on infinitesimal intervals at
$O(c^0)$.
| [
{
"created": "Mon, 8 Jan 2018 18:56:47 GMT",
"version": "v1"
}
] | 2018-08-15 | [
[
"Michel",
"Ben",
""
],
[
"Puhm",
"Andrea",
""
]
] | Inspired by the recent work of Bao and Ooguri (BO), we study the distinguishability of the black hole microstates from the thermal state as captured by the average of their relative entropies: the Holevo information. Under the assumption that the vacuum conformal block dominates the entropy calculation, BO find that the average relative entropy vanishes on spatial regions less than half the size of the CFT. However, vacuum block dominance fails for some microstates of the $M=0$ BTZ black hole. We show that this renders the average relative entropy nonzero even on infinitesimal intervals at $O(c^0)$. |
1702.05435 | Hans Jockers | Thaisa C. da C. Guio, Hans Jockers, Albrecht Klemm, Hung-Yu Yeh | Effective action from M-theory on twisted connected sum $G_2$-manifolds | 79 pages, v2: refs. added, typos corrected, Appendix A expanded, v3:
minor corrections, typos corrected, discussion of dimensional reduction
improved, version published in CMP | null | 10.1007/s00220-017-3045-0 | BONN-TH-2017-01 | hep-th math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the four-dimensional low energy effective $\mathcal{N}=1$
supergravity theory of the dimensional reduction of M-theory on
$G_2$-manifolds, which are constructed by Kovalev's twisted connected sum
gluing suitable pairs of asymptotically cylindrical Calabi-Yau threefolds
$X_{L/R}$ augmented with a circle $S^1$. In the Kovalev limit the Ricci-flat
$G_2$-metrics are approximated by the Ricci-flat metrics on $X_{L/R}$ and we
identify the universal modulus - the Kovalevton - that parametrizes this limit.
We observe that the low energy effective theory exhibits in this limit gauge
theory sectors with extended supersymmetry. We determine the universal
(semi-classical) K\"ahler potential of the effective $\mathcal{N}=1$
supergravity action as a function of the Kovalevton and the volume modulus of
the $G_2$-manifold. This K\"ahler potential fulfills the no-scale inequality
such that no anti-de-Sitter vacua are admitted. We describe geometric
degenerations in $X_{L/R}$, which lead to non-Abelian gauge symmetries
enhancements with various matter content. Studying the resulting gauge theory
branches, we argue that they lead to transitions compatible with the gluing
construction and provide many new explicit examples of $G_2$-manifolds.
| [
{
"created": "Fri, 17 Feb 2017 17:01:32 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Mar 2017 18:56:34 GMT",
"version": "v2"
},
{
"created": "Fri, 24 Nov 2017 20:10:22 GMT",
"version": "v3"
}
] | 2018-01-17 | [
[
"Guio",
"Thaisa C. da C.",
""
],
[
"Jockers",
"Hans",
""
],
[
"Klemm",
"Albrecht",
""
],
[
"Yeh",
"Hung-Yu",
""
]
] | We study the four-dimensional low energy effective $\mathcal{N}=1$ supergravity theory of the dimensional reduction of M-theory on $G_2$-manifolds, which are constructed by Kovalev's twisted connected sum gluing suitable pairs of asymptotically cylindrical Calabi-Yau threefolds $X_{L/R}$ augmented with a circle $S^1$. In the Kovalev limit the Ricci-flat $G_2$-metrics are approximated by the Ricci-flat metrics on $X_{L/R}$ and we identify the universal modulus - the Kovalevton - that parametrizes this limit. We observe that the low energy effective theory exhibits in this limit gauge theory sectors with extended supersymmetry. We determine the universal (semi-classical) K\"ahler potential of the effective $\mathcal{N}=1$ supergravity action as a function of the Kovalevton and the volume modulus of the $G_2$-manifold. This K\"ahler potential fulfills the no-scale inequality such that no anti-de-Sitter vacua are admitted. We describe geometric degenerations in $X_{L/R}$, which lead to non-Abelian gauge symmetries enhancements with various matter content. Studying the resulting gauge theory branches, we argue that they lead to transitions compatible with the gluing construction and provide many new explicit examples of $G_2$-manifolds. |
hep-th/9211071 | null | A.Cappelli, G.V.Dunne, C.A.Trugenberger and G.R.Zemba | Conformal Symmetry and Universal Properties of Quantum Hall States | 39 pages, 7 figures (not included, they are mailed on request),
harvmac CERN-TH 6702/92 | Nucl.Phys. B398 (1993) 531-567 | 10.1016/0550-3213(93)90603-M | null | hep-th cond-mat | null | The low-lying excitations of a quantum Hall state on a disk geometry are edge
excitations. Their dynamics is governed by a conformal field theory on the
cylinder defined by the disk boundary and the time variable. We give a simple
and detailed derivation of this conformal field theory for integer filling,
starting from the microscopic dynamics of $(2+1)$-dimensional non-relativistic
electrons in Landau levels. This construction can be generalized to describe
Laughlin's fractional Hall states via chiral bosonization, thereby making
contact with the effective Chern-Simons theory approach. The conformal field
theory dictates the finite-size effects in the energy spectrum. An experimental
or numerical verification of these universal effects would provide a further
confirmation of Laughlin's theory of incompressible quantum fluids.
| [
{
"created": "Mon, 16 Nov 1992 17:24:47 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Cappelli",
"A.",
""
],
[
"Dunne",
"G. V.",
""
],
[
"Trugenberger",
"C. A.",
""
],
[
"Zemba",
"G. R.",
""
]
] | The low-lying excitations of a quantum Hall state on a disk geometry are edge excitations. Their dynamics is governed by a conformal field theory on the cylinder defined by the disk boundary and the time variable. We give a simple and detailed derivation of this conformal field theory for integer filling, starting from the microscopic dynamics of $(2+1)$-dimensional non-relativistic electrons in Landau levels. This construction can be generalized to describe Laughlin's fractional Hall states via chiral bosonization, thereby making contact with the effective Chern-Simons theory approach. The conformal field theory dictates the finite-size effects in the energy spectrum. An experimental or numerical verification of these universal effects would provide a further confirmation of Laughlin's theory of incompressible quantum fluids. |
hep-th/0109057 | Tetsuya Shiromizu | Tetsuya Shiromizu, Daisuke Ida, Takashi Torii | Gravitational energy, dS/CFT correspondence and cosmic no-hair | 8 pages, minor changes | JHEP 0111:010,2001 | 10.1088/1126-6708/2001/11/010 | UTAP-401, RESCEU-19/01 | hep-th | null | The gravitational energy is examined in asymptotically de Sitter space-times.
The positivity will be shown for certain cases. The de Sitter/CFT(dS/CFT)
correspondence recently proposed and cosmic no-hair conjecture are testified in
the aspect of the gravitational energy. From the holographic renormalization
group point of view, the two conjectures are deeply connected with each other.
| [
{
"created": "Fri, 7 Sep 2001 11:52:02 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Oct 2001 10:24:36 GMT",
"version": "v2"
}
] | 2010-02-03 | [
[
"Shiromizu",
"Tetsuya",
""
],
[
"Ida",
"Daisuke",
""
],
[
"Torii",
"Takashi",
""
]
] | The gravitational energy is examined in asymptotically de Sitter space-times. The positivity will be shown for certain cases. The de Sitter/CFT(dS/CFT) correspondence recently proposed and cosmic no-hair conjecture are testified in the aspect of the gravitational energy. From the holographic renormalization group point of view, the two conjectures are deeply connected with each other. |
1503.01268 | Olga Kichakova | Olga Kichakova, Jutta Kunz, Eugen Radu, Yasha Shnir | Thermodynamic properties of asymptotically anti-de Sitter black holes in
d=4 Einstein-Yang-Mills theory | 10 pages, 5 figures | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the thermodynamics of spherically symmetric black hole
solutions in a four-dimensional Einstein--Yang-Mills-SU(2) theory with a
negative cosmological constant. Special attention is paid to configurations
with a unit magnetic charge. We find that a set of
Reissner-Nordstr\"om--Anti-de Sitter black holes can become unstable to forming
non-Abelian hair. However, the hairy black holes are never thermodynamically
favoured over the full set of abelian monopole solutions. The thermodynamics of
the generic configurations possessing a noninteger magnetic charge is also
discussed.
| [
{
"created": "Wed, 4 Mar 2015 10:22:55 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Mar 2015 17:57:40 GMT",
"version": "v2"
}
] | 2015-03-12 | [
[
"Kichakova",
"Olga",
""
],
[
"Kunz",
"Jutta",
""
],
[
"Radu",
"Eugen",
""
],
[
"Shnir",
"Yasha",
""
]
] | We investigate the thermodynamics of spherically symmetric black hole solutions in a four-dimensional Einstein--Yang-Mills-SU(2) theory with a negative cosmological constant. Special attention is paid to configurations with a unit magnetic charge. We find that a set of Reissner-Nordstr\"om--Anti-de Sitter black holes can become unstable to forming non-Abelian hair. However, the hairy black holes are never thermodynamically favoured over the full set of abelian monopole solutions. The thermodynamics of the generic configurations possessing a noninteger magnetic charge is also discussed. |
hep-th/0509091 | Jack Gegenberg | J. Gegenberg G. Kunstatter | The Generalized Ricci Flow for 3D Manifolds with One Killing Vector | null | J.Math.Phys. 47 (2006) 032304 | 10.1063/1.2178585 | UNB Technical Report 05-03 | hep-th gr-qc math.DG | null | We consider 3D flow equations inspired by the renormalization group (RG)
equations of string theory with a three dimensional target space. By modifying
the flow equations to include a U(1) gauge field, and adding carefully chosen
De Turck terms, we are able to extend recent 2D results of Bakas to the case of
a 3D Riemannian metric with one Killing vector. In particular, we show that the
RG flow with De Turck terms can be reduced to two equations: the continual Toda
flow solved by Bakas, plus its linearizaton. We find exact solutions which flow
to homogeneous but not always isotropic geometries.
| [
{
"created": "Tue, 13 Sep 2005 14:17:36 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Kunstatter",
"J. Gegenberg G.",
""
]
] | We consider 3D flow equations inspired by the renormalization group (RG) equations of string theory with a three dimensional target space. By modifying the flow equations to include a U(1) gauge field, and adding carefully chosen De Turck terms, we are able to extend recent 2D results of Bakas to the case of a 3D Riemannian metric with one Killing vector. In particular, we show that the RG flow with De Turck terms can be reduced to two equations: the continual Toda flow solved by Bakas, plus its linearizaton. We find exact solutions which flow to homogeneous but not always isotropic geometries. |
1205.3091 | Niclas Wyllard | V. Belavin and Niclas Wyllard | N=2 superconformal blocks and instanton partition functions | 37 pages. v2: typos corrected, references added | null | 10.1007/JHEP06(2012)173 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the problem of computing (irregular) conformal blocks in 2d CFTs
whose chiral symmetry algebra is the N=2 superconformal algebra. Our
construction uses two ingredients: (i) the relation between the representation
theories of the N=2 superconformal algebra and the affine sl(2) algebra,
extended to the level of the conformal blocks, and (ii) the relation between
affine sl(2) conformal blocks and instanton partition functions in the 4d N=2
SU(2) gauge theory with a surface defect. By combining these two facts we
derive combinatorial expressions for the N=2 superconformal blocks in the
Gaiotto limit.
| [
{
"created": "Mon, 14 May 2012 16:47:17 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Aug 2012 12:13:35 GMT",
"version": "v2"
}
] | 2015-06-05 | [
[
"Belavin",
"V.",
""
],
[
"Wyllard",
"Niclas",
""
]
] | We consider the problem of computing (irregular) conformal blocks in 2d CFTs whose chiral symmetry algebra is the N=2 superconformal algebra. Our construction uses two ingredients: (i) the relation between the representation theories of the N=2 superconformal algebra and the affine sl(2) algebra, extended to the level of the conformal blocks, and (ii) the relation between affine sl(2) conformal blocks and instanton partition functions in the 4d N=2 SU(2) gauge theory with a surface defect. By combining these two facts we derive combinatorial expressions for the N=2 superconformal blocks in the Gaiotto limit. |
2209.10808 | Claudio Coriano | Claudio Corian\`o, Mario Cret\`i, Stefania D'Agostino | Quantum Field Theory and its Anomalies for Topological Matter | 6 pages, contributed to QCD at work Lecce, 27-30 June 2020 | null | 10.1051/epjconf/202227000026 | null | hep-th cond-mat.mes-hall cond-mat.stat-mech | http://creativecommons.org/licenses/by/4.0/ | Topology enters in quantum field theory (qft) in multiple forms: one of the
most important, in non-abelian gauge theories, being in the identification of
the $\theta$ vacuum in QCD. A very relevant aspect of this connection is
through the phenomenon of chiral and conformal qft anomalies. It has been
realized that a class of materials, comprising topological insulators and Weyl
semimetals, also exhibit the phenomenon of anomalies, which are responsible for
several exotic phenomena, such as the presence of edge currents, resilient
under perturbations and scattering by impurities. Another example comes from
the response functions of these materials under thermal and mechanical
stresses, that may be performed using correlation functions of stress energy
tensors in General Relativity. In this case the conformal anomaly plays an
important role. We briefly illustrate some salient features of this
correspondence, and the effective action describing the long-range interactions
that may account for such topological effects.
| [
{
"created": "Thu, 22 Sep 2022 06:18:32 GMT",
"version": "v1"
}
] | 2022-11-30 | [
[
"Corianò",
"Claudio",
""
],
[
"Cretì",
"Mario",
""
],
[
"D'Agostino",
"Stefania",
""
]
] | Topology enters in quantum field theory (qft) in multiple forms: one of the most important, in non-abelian gauge theories, being in the identification of the $\theta$ vacuum in QCD. A very relevant aspect of this connection is through the phenomenon of chiral and conformal qft anomalies. It has been realized that a class of materials, comprising topological insulators and Weyl semimetals, also exhibit the phenomenon of anomalies, which are responsible for several exotic phenomena, such as the presence of edge currents, resilient under perturbations and scattering by impurities. Another example comes from the response functions of these materials under thermal and mechanical stresses, that may be performed using correlation functions of stress energy tensors in General Relativity. In this case the conformal anomaly plays an important role. We briefly illustrate some salient features of this correspondence, and the effective action describing the long-range interactions that may account for such topological effects. |
hep-th/0509155 | Volker Schomerus | Volker Schomerus | Non-compact String Backgrounds and Non-rational CFT | 85 pages, 8 figures, lecture notes | Phys.Rept.431:39-86,2006 | 10.1016/j.physrep.2006.05.001 | DESY-05-168, SPHT-T05-139 | hep-th | null | This is an introduction to the microscopic techniques of non-rational bulk
and boundary conformal field theory which are needed to describe strings moving
in non-compact curved backgrounds. The latter arise e.g. in the context of
AdS/CFT-like dualities and for studies of time-dependent processes. After a
general outline of the central concepts, we focus on two specific but rather
prototypical models: Liouville field theory and the 2D cigar. Rather than
following the historical path, the presentation attempts to be systematic and
self-contained.
| [
{
"created": "Tue, 20 Sep 2005 18:03:58 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Schomerus",
"Volker",
""
]
] | This is an introduction to the microscopic techniques of non-rational bulk and boundary conformal field theory which are needed to describe strings moving in non-compact curved backgrounds. The latter arise e.g. in the context of AdS/CFT-like dualities and for studies of time-dependent processes. After a general outline of the central concepts, we focus on two specific but rather prototypical models: Liouville field theory and the 2D cigar. Rather than following the historical path, the presentation attempts to be systematic and self-contained. |
hep-th/0510130 | M. B. Paranjape | Paul Esposito, L.-P. Guay, R. B. MacKenzie, M. B. Paranjape, L.C.R
Wijewardhana | The abelian and non-abelian Josephson effect and pseudo-goldstone bosons | 14 pages, no figures | null | null | UdeM-GPP-Th-141 | hep-th | null | We formulate the Josephson effect in a field theoretic language which affords
a straightforward generalization to the non-abelian case. We give some examples
and apply the formalism to the case of SO(5) superconductivity.
| [
{
"created": "Sun, 16 Oct 2005 21:46:37 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Esposito",
"Paul",
""
],
[
"Guay",
"L. -P.",
""
],
[
"MacKenzie",
"R. B.",
""
],
[
"Paranjape",
"M. B.",
""
],
[
"Wijewardhana",
"L. C. R",
""
]
] | We formulate the Josephson effect in a field theoretic language which affords a straightforward generalization to the non-abelian case. We give some examples and apply the formalism to the case of SO(5) superconductivity. |
1404.5963 | Jing-Yuan Chen | Jing-Yuan Chen, Dam T. Son, Mikhail A. Stephanov, Ho-Ung Yee, Yi Yin | Lorentz Invariance in Chiral Kinetic Theory | 5 pages, 1 figure | Phys. Rev. Lett. 113, 182302 (2014) | 10.1103/PhysRevLett.113.182302 | EFI-14-7, RBRC-1068 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that Lorentz invariance is realized nontrivially in the classical
action of a massless spin-$\frac12$ particle with definite helicity. We find
that the ordinary Lorentz transformation is modified by a shift orthogonal to
the boost vector and the particle momentum. The shift ensures angular momentum
conservation in particle collisions and implies a nonlocality of the collision
term in the Lorentz-invariant kinetic theory due to side jumps. We show that
2/3 of the chiral-vortical effect for a uniformly rotating particle
distribution can be attributed to the magnetic moment coupling required by the
Lorentz invariance. We also show how the classical action can be obtained by
taking the classical limit of the path integral for a Weyl particle.
| [
{
"created": "Wed, 23 Apr 2014 20:00:13 GMT",
"version": "v1"
}
] | 2014-11-05 | [
[
"Chen",
"Jing-Yuan",
""
],
[
"Son",
"Dam T.",
""
],
[
"Stephanov",
"Mikhail A.",
""
],
[
"Yee",
"Ho-Ung",
""
],
[
"Yin",
"Yi",
""
]
] | We show that Lorentz invariance is realized nontrivially in the classical action of a massless spin-$\frac12$ particle with definite helicity. We find that the ordinary Lorentz transformation is modified by a shift orthogonal to the boost vector and the particle momentum. The shift ensures angular momentum conservation in particle collisions and implies a nonlocality of the collision term in the Lorentz-invariant kinetic theory due to side jumps. We show that 2/3 of the chiral-vortical effect for a uniformly rotating particle distribution can be attributed to the magnetic moment coupling required by the Lorentz invariance. We also show how the classical action can be obtained by taking the classical limit of the path integral for a Weyl particle. |
2406.00100 | Charlie Cresswell-Hogg | Charlie Cresswell-Hogg and Daniel F. Litim | Fermion Mass Generation without Symmetry Breaking | 19 pages, 4 figures | null | null | CERN-TH-2024-077 | hep-th cond-mat.str-el hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the generation of fermion mass in a context where interactions break
a discrete chiral symmetry. Then, fermion mass is not protected by a symmetry,
no symmetry is broken by the generation of mass, and a vanishing mass no longer
enhances a symmetry. We elaborate these scenarios for template fermionic and
Yukawa theories in three dimensions where mass can be generated either by
fluctuations, strong dynamics, or the vacuum expectation value of a scalar
field. We find that fluctuation-induced contributions to fermion mass are
parametrically suppressed in the number of fermion flavours $N$. The generation
of fermion mass then takes the form of a rapid crossover which turns into a
second order quantum phase transition for large $N$, much like in settings with
fundamental chiral symmetry. We further discuss theories where fermion mass can
be generated spontaneously without breaking any symmetry other than scale
symmetry. Implications of our findings are discussed.
| [
{
"created": "Fri, 31 May 2024 18:00:02 GMT",
"version": "v1"
}
] | 2024-06-04 | [
[
"Cresswell-Hogg",
"Charlie",
""
],
[
"Litim",
"Daniel F.",
""
]
] | We study the generation of fermion mass in a context where interactions break a discrete chiral symmetry. Then, fermion mass is not protected by a symmetry, no symmetry is broken by the generation of mass, and a vanishing mass no longer enhances a symmetry. We elaborate these scenarios for template fermionic and Yukawa theories in three dimensions where mass can be generated either by fluctuations, strong dynamics, or the vacuum expectation value of a scalar field. We find that fluctuation-induced contributions to fermion mass are parametrically suppressed in the number of fermion flavours $N$. The generation of fermion mass then takes the form of a rapid crossover which turns into a second order quantum phase transition for large $N$, much like in settings with fundamental chiral symmetry. We further discuss theories where fermion mass can be generated spontaneously without breaking any symmetry other than scale symmetry. Implications of our findings are discussed. |
1307.4640 | Radu Tatar | Siraj Khan and Radu Tatar | Flows between Dualities for 3d Chern-Simons Theories | 21 pages | Phys. Rev. D 88, 066011 (2013) | 10.1103/PhysRevD.88.066011 | LTH/981 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study Seiberg-like dualities for 3d N=2 theories with flavors in
fundamental and adjoint representations. The recent results of Intriligator and
Seiberg provide a derivation of an Aharony duality from a Giveon-Kutasov
duality. We extend their result to the case of more general theories involving
various masses for fundamental quarks and adjoint fields. By fine tuning the
vev of a scalar field and using various identifications between gauge groups
and their singlet duals, we derive several examples of Aharony dualities. For
theories with an adjoint field, we discuss the connection between the Aharony
dualities proposed by Kim and Park for theories with multiple Coulomb branches
and Giveon-Kutasov-Niarchos dualities.
| [
{
"created": "Wed, 17 Jul 2013 14:09:25 GMT",
"version": "v1"
}
] | 2013-10-30 | [
[
"Khan",
"Siraj",
""
],
[
"Tatar",
"Radu",
""
]
] | We study Seiberg-like dualities for 3d N=2 theories with flavors in fundamental and adjoint representations. The recent results of Intriligator and Seiberg provide a derivation of an Aharony duality from a Giveon-Kutasov duality. We extend their result to the case of more general theories involving various masses for fundamental quarks and adjoint fields. By fine tuning the vev of a scalar field and using various identifications between gauge groups and their singlet duals, we derive several examples of Aharony dualities. For theories with an adjoint field, we discuss the connection between the Aharony dualities proposed by Kim and Park for theories with multiple Coulomb branches and Giveon-Kutasov-Niarchos dualities. |
2405.14931 | Arthur Platschorre | Arthur Platschorre | A mass for the dual axion | 14 pages, 1 figure | null | null | null | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | In this article we study a modification of axion physics in which the dual
axion acquires a mass. This mass explicitly breaks the shift symmetry of the
dual axion. The potential breaking of this shift symmetry poses a dual axion
quality problem. When the dual axion acquires a mass, the axion gets eaten and
becomes the longitudinal degree of freedom of a massive vector field. In this
phase, axion strings are screened and far-separated instanton configurations
are exponentially suppressed. This confinement of instantons corresponds to the
worldline action of a particle-like soliton traveling between the instantons
analogous to Abrikosov/Nielsen-Oleson vortex solitons that stretch between
confined magnetic monopoles in a superconductor. We calculate the cost of this
additional worldline suppression and provide several models in which both the
confined instantons and confining worldline are dynamical.
| [
{
"created": "Thu, 23 May 2024 18:00:00 GMT",
"version": "v1"
}
] | 2024-05-27 | [
[
"Platschorre",
"Arthur",
""
]
] | In this article we study a modification of axion physics in which the dual axion acquires a mass. This mass explicitly breaks the shift symmetry of the dual axion. The potential breaking of this shift symmetry poses a dual axion quality problem. When the dual axion acquires a mass, the axion gets eaten and becomes the longitudinal degree of freedom of a massive vector field. In this phase, axion strings are screened and far-separated instanton configurations are exponentially suppressed. This confinement of instantons corresponds to the worldline action of a particle-like soliton traveling between the instantons analogous to Abrikosov/Nielsen-Oleson vortex solitons that stretch between confined magnetic monopoles in a superconductor. We calculate the cost of this additional worldline suppression and provide several models in which both the confined instantons and confining worldline are dynamical. |
hep-th/0410222 | T. Damour | Thibault Damour and Alexander Vilenkin | Gravitational radiation from cosmic (super)strings: bursts, stochastic
background, and observational windows | 16 pages, 6 figures | Phys.Rev. D71 (2005) 063510 | 10.1103/PhysRevD.71.063510 | null | hep-th astro-ph gr-qc | null | The gravitational wave (GW) signals emitted by a network of cosmic strings
are reexamined in view of the possible formation of a network of cosmic
superstrings at the end of brane inflation. The reconnection probability $p$ of
intersecting fundamental or Dirichlet strings might be much smaller than 1, and
the properties of the resulting string network may differ significantly from
those of ordinary strings (which have $p=1$). In addition, it has been recently
suggested that the typical length of newly formed loops may differ by a factor
$\epsilon \ll 1$ from its standard estimate. Here, we analyze the effects of
the two parameters $p$ and $\epsilon$ on the GW signatures of strings. We
consider both the GW bursts emitted from cusps of oscillating string loops,
which have been suggested as candidate sources for the LIGO/VIRGO and LISA
interferometers, and the stochastic GW background, which may be detectable by
pulsar timing observations. In both cases we find that previously obtained
results are \textit{quite robust}, at least when the loop sizes are not
suppressed by many orders of magnitude relative to the standard scenario. We
urge pulsar observers to reanalyze a recently obtained 17-year combined data
set to see whether the large scatter exhibited by a fraction of the data might
be due to a transient GW burst activity of some sort, e.g. to a near cusp
event.
| [
{
"created": "Fri, 22 Oct 2004 15:34:06 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Feb 2005 11:40:29 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Damour",
"Thibault",
""
],
[
"Vilenkin",
"Alexander",
""
]
] | The gravitational wave (GW) signals emitted by a network of cosmic strings are reexamined in view of the possible formation of a network of cosmic superstrings at the end of brane inflation. The reconnection probability $p$ of intersecting fundamental or Dirichlet strings might be much smaller than 1, and the properties of the resulting string network may differ significantly from those of ordinary strings (which have $p=1$). In addition, it has been recently suggested that the typical length of newly formed loops may differ by a factor $\epsilon \ll 1$ from its standard estimate. Here, we analyze the effects of the two parameters $p$ and $\epsilon$ on the GW signatures of strings. We consider both the GW bursts emitted from cusps of oscillating string loops, which have been suggested as candidate sources for the LIGO/VIRGO and LISA interferometers, and the stochastic GW background, which may be detectable by pulsar timing observations. In both cases we find that previously obtained results are \textit{quite robust}, at least when the loop sizes are not suppressed by many orders of magnitude relative to the standard scenario. We urge pulsar observers to reanalyze a recently obtained 17-year combined data set to see whether the large scatter exhibited by a fraction of the data might be due to a transient GW burst activity of some sort, e.g. to a near cusp event. |
1505.06397 | Ali Masoumi | Ali Masoumi | Topics in vacuum decay (Ph.D Thesis) | 187 pages. PhD thesis, 2013, Columbia University | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | If a theory has more than one classically stable vacuum, quantum tunneling
and thermal jumps make the transition between the vacua possible. The
transition happens through a first order phase transition started by nucleation
of a bubble of the new vacuum. The outward pressure of the truer vacuum makes
the bubble expand and consequently eat away more of the old phase. In the
presence of gravity this phenomenon gets more complicated and meanwhile more
interesting. It can potentially have important cosmological consequences. Some
aspects of this decay are studied in this thesis. Solutions with different
symmetry than the generically used O(4) symmetry are studied and their actions
calculated. Vacuum decay in a spatial vector field is studied and novel
features like kinky domain walls are presented. The question of stability of
vacua in a landscape of potentials is studied and the possible instability in
large dimension of fields is shown. Finally a compactification of the
Einstein-Maxwell theory is studied which can be a good lab to understand the
decay rates in compactification models of arbitrary dimensions.
| [
{
"created": "Sun, 24 May 2015 02:48:08 GMT",
"version": "v1"
}
] | 2015-05-26 | [
[
"Masoumi",
"Ali",
""
]
] | If a theory has more than one classically stable vacuum, quantum tunneling and thermal jumps make the transition between the vacua possible. The transition happens through a first order phase transition started by nucleation of a bubble of the new vacuum. The outward pressure of the truer vacuum makes the bubble expand and consequently eat away more of the old phase. In the presence of gravity this phenomenon gets more complicated and meanwhile more interesting. It can potentially have important cosmological consequences. Some aspects of this decay are studied in this thesis. Solutions with different symmetry than the generically used O(4) symmetry are studied and their actions calculated. Vacuum decay in a spatial vector field is studied and novel features like kinky domain walls are presented. The question of stability of vacua in a landscape of potentials is studied and the possible instability in large dimension of fields is shown. Finally a compactification of the Einstein-Maxwell theory is studied which can be a good lab to understand the decay rates in compactification models of arbitrary dimensions. |
1806.07971 | Weimin Sun | Israel Weimin Sun | Quantum Gauge Transformation, Gauge-Invariant Extension and Angular
Momentum Decomposition in Abelian Higgs Model | 10 pages, no figures | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | I discuss the momentum and angular momentum decomposition problem in the
Abelian Higgs model. The usual gauge-invariant extension (GIE) construction is
incorporated naturally into the framework of quantum gauge transformation
$\grave{a}$ ${\it la}$ Strocchi and Wightman and with this I investigate the
momentum and angular momentum separation in a class of GIE conditions which
correspond to the so-called "static gauges". Using this language I find that
the so-called "generator criterion" does not generally hold even for the
dressed physical field. In the case of $U(1)$ symmetry breaking, I generalize
the standard GIE construction to include the matter field degrees of freedom so
that the usual separation pattern of momentum and angular momentum in the
unitarity gauge can be incorporated into the same universal framework. When the
static gauge condition could not uniquely fix the gauge, I show that this GIE
construction should be expanded to take into account the residual gauge
symmetry. In some cases I reveal that the usual momentum or angular momentum
separation pattern in terms of the physical dressed field variables needs some
type of modification due to the nontrivial commutator structure of the
underlying quantum gauge choice. Finally, I give some remarks on the general
GIE constructions in connection with the possible commutator issues and
modification of momentum and angular momentum separation patterns.
| [
{
"created": "Tue, 19 Jun 2018 04:54:55 GMT",
"version": "v1"
}
] | 2018-06-22 | [
[
"Sun",
"Israel Weimin",
""
]
] | I discuss the momentum and angular momentum decomposition problem in the Abelian Higgs model. The usual gauge-invariant extension (GIE) construction is incorporated naturally into the framework of quantum gauge transformation $\grave{a}$ ${\it la}$ Strocchi and Wightman and with this I investigate the momentum and angular momentum separation in a class of GIE conditions which correspond to the so-called "static gauges". Using this language I find that the so-called "generator criterion" does not generally hold even for the dressed physical field. In the case of $U(1)$ symmetry breaking, I generalize the standard GIE construction to include the matter field degrees of freedom so that the usual separation pattern of momentum and angular momentum in the unitarity gauge can be incorporated into the same universal framework. When the static gauge condition could not uniquely fix the gauge, I show that this GIE construction should be expanded to take into account the residual gauge symmetry. In some cases I reveal that the usual momentum or angular momentum separation pattern in terms of the physical dressed field variables needs some type of modification due to the nontrivial commutator structure of the underlying quantum gauge choice. Finally, I give some remarks on the general GIE constructions in connection with the possible commutator issues and modification of momentum and angular momentum separation patterns. |
hep-th/0012144 | D. Toublan | D. Toublan and J.J.M. Verbaarschot | Statistical properties of the spectrum of the QCD Dirac operator at low
energy | 24 pages, 2 Postscript figures | Nucl.Phys. B603 (2001) 343-368 | 10.1016/S0550-3213(01)00093-1 | SUNY-NTG-00/61 | hep-th cond-mat hep-lat | null | We analyze the statistical properties of the spectrum of the QCD Dirac
operator at low energy in a finite box of volume $L^4$ by means of partially
quenched Chiral Perturbation Theory (pqChPT), a low-energy effective field
theory based on the symmetries of QCD. We derive the two-point spectral
correlation function from the discontinuity of the chiral susceptibility. For
eigenvalues much smaller than $E_c=F^2/\Sigma L^2$, where $F$ is the pion decay
constant and $\Sigma$ is the absolute value of the quark condensate, our result
for the two-point correlation function coincides with the result previously
obtained from chiral Random Matrix Theory (chRMT). The departure from the chRMT
result above that scale is described by the contribution of the nonzero
momentum modes. In terms of the variance of the number of eigenvalues in an
interval containing $n$ eigenvalues on average, it results in a crossover from
a $\log n$-behavior to a $n^2 \log n$-behavior.
| [
{
"created": "Mon, 18 Dec 2000 00:12:00 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Jan 2001 22:12:54 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Toublan",
"D.",
""
],
[
"Verbaarschot",
"J. J. M.",
""
]
] | We analyze the statistical properties of the spectrum of the QCD Dirac operator at low energy in a finite box of volume $L^4$ by means of partially quenched Chiral Perturbation Theory (pqChPT), a low-energy effective field theory based on the symmetries of QCD. We derive the two-point spectral correlation function from the discontinuity of the chiral susceptibility. For eigenvalues much smaller than $E_c=F^2/\Sigma L^2$, where $F$ is the pion decay constant and $\Sigma$ is the absolute value of the quark condensate, our result for the two-point correlation function coincides with the result previously obtained from chiral Random Matrix Theory (chRMT). The departure from the chRMT result above that scale is described by the contribution of the nonzero momentum modes. In terms of the variance of the number of eigenvalues in an interval containing $n$ eigenvalues on average, it results in a crossover from a $\log n$-behavior to a $n^2 \log n$-behavior. |
1103.5700 | Xi Yin | Daniel Jafferis, Xi Yin | A Duality Appetizer | 6 pages; signs corrected, references added | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose that the three-dimensional N=2 SU(2) Chern-Simons theory at level
1 coupled to an adjoint chiral multiplet with no superpotential is equivalent
to the free field theory consisting of a single massless N=2 chiral multiplet.
In particular, we show that the two theories have the identical "Z-function"
and identical superconformal index.
| [
{
"created": "Tue, 29 Mar 2011 16:18:59 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Mar 2011 18:33:18 GMT",
"version": "v2"
}
] | 2011-03-31 | [
[
"Jafferis",
"Daniel",
""
],
[
"Yin",
"Xi",
""
]
] | We propose that the three-dimensional N=2 SU(2) Chern-Simons theory at level 1 coupled to an adjoint chiral multiplet with no superpotential is equivalent to the free field theory consisting of a single massless N=2 chiral multiplet. In particular, we show that the two theories have the identical "Z-function" and identical superconformal index. |
hep-th/9912037 | Stephon H. S. Alexander | Stephon H.S. Alexander | On The Varying Speed of Light in a Brane-Induced FRW Universe | 6 Pages Revised Version: Additional references included. Circular
Geodesic found for speed of light stabilization | JHEP0011:017,2000 | 10.1088/1126-6708/2000/11/017 | BROWN-HET-1206 | hep-th astro-ph gr-qc hep-ph nucl-th quant-ph | null | We investigate a string/M theoretic realization of the varying speed of light
scenario. We consider a 3+1 dimensional probe-brane universe in the background
of a black hole in the bulk formed by a stack of branes, in the spirit of
Kiritsis (hep-th/9906206). We generalize the dynamics of the system at hand by
including rotation and Hubble damping of the bulk space-time and show that this
may lead to a mechanism to stabilize the brane-universe and hence fix the speed
of light at late times.
| [
{
"created": "Mon, 6 Dec 1999 05:09:14 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Oct 2000 16:53:23 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Alexander",
"Stephon H. S.",
""
]
] | We investigate a string/M theoretic realization of the varying speed of light scenario. We consider a 3+1 dimensional probe-brane universe in the background of a black hole in the bulk formed by a stack of branes, in the spirit of Kiritsis (hep-th/9906206). We generalize the dynamics of the system at hand by including rotation and Hubble damping of the bulk space-time and show that this may lead to a mechanism to stabilize the brane-universe and hence fix the speed of light at late times. |
0907.3943 | Nelson Yokomizo | N. Yokomizo, J. C. A. Barata | Multiple classical limits in relativistic and nonrelativistic quantum
mechanics | 13 pages | J.Math.Phys.50:123512,2009 | 10.1063/1.3263939 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The existence of a classical limit describing interacting particles in a
second-quantized theory of identical particles with bosonic symmetry is proved.
This limit exists in addition to a previously established classical limit with
a classical field behavior, showing that the limit $\hbar \to 0$ of the theory
is not unique. An analogous result is valid for a free massive scalar field:
two distinct classical limits are proved to exist, describing a system of
particles or a classical field. The introduction of local operators in order to
represent kinematical properties of interest is shown to break the permutation
symmetry under some localizability conditions, allowing the study of individual
particle properties.
| [
{
"created": "Wed, 22 Jul 2009 21:47:54 GMT",
"version": "v1"
}
] | 2010-01-15 | [
[
"Yokomizo",
"N.",
""
],
[
"Barata",
"J. C. A.",
""
]
] | The existence of a classical limit describing interacting particles in a second-quantized theory of identical particles with bosonic symmetry is proved. This limit exists in addition to a previously established classical limit with a classical field behavior, showing that the limit $\hbar \to 0$ of the theory is not unique. An analogous result is valid for a free massive scalar field: two distinct classical limits are proved to exist, describing a system of particles or a classical field. The introduction of local operators in order to represent kinematical properties of interest is shown to break the permutation symmetry under some localizability conditions, allowing the study of individual particle properties. |
hep-th/9506089 | Kanehisa Takasaki | Kanehisa Takasaki (Kyoto University) | Toda Lattice Hierarchy and Generalized String Equations | 35pages, LaTeX Errors are corrected in Eqs. (2.21), (2.36), (2.33),
(3.3), (5.10), (6.1), sentences after (3.19) and theorem 5. A few references
are updated | Commun.Math.Phys. 181 (1996) 131 | 10.1007/BF02101675 | KUCP-0079 | hep-th | null | String equations of the $p$-th generalized Kontsevich model and the
compactified $c = 1$ string theory are re-examined in the language of the Toda
lattice hierarchy. As opposed to a hypothesis postulated in the literature, the
generalized Kontsevich model at $p = -1$ does not coincide with the $c = 1$
string theory at self-dual radius. A broader family of solutions of the Toda
lattice hierarchy including these models are constructed, and shown to satisfy
generalized string equations. The status of a variety of $c \le 1$ string
models is discussed in this new framework.
| [
{
"created": "Tue, 13 Jun 1995 09:32:31 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Jun 1995 10:15:28 GMT",
"version": "v2"
},
{
"created": "Thu, 15 Jun 1995 04:48:20 GMT",
"version": "v3"
},
{
"created": "Mon, 10 Jul 1995 03:31:01 GMT",
"version": "v4"
}
] | 2009-10-28 | [
[
"Takasaki",
"Kanehisa",
"",
"Kyoto University"
]
] | String equations of the $p$-th generalized Kontsevich model and the compactified $c = 1$ string theory are re-examined in the language of the Toda lattice hierarchy. As opposed to a hypothesis postulated in the literature, the generalized Kontsevich model at $p = -1$ does not coincide with the $c = 1$ string theory at self-dual radius. A broader family of solutions of the Toda lattice hierarchy including these models are constructed, and shown to satisfy generalized string equations. The status of a variety of $c \le 1$ string models is discussed in this new framework. |
2010.05697 | Hossein Ghaffarnejad | Hossein Ghaffarnejad, Elham Ghasami, Emad Yaraie and Mohammad Farsam | Thermodynamic phase transition and Joule Thomson adiabatic expansion for
dS/AdS Bardeen Black Holes with consistent 4D Gauss-Bonnet gravity | 22 pages, 2 figures | Iranian Journal of Astronomy and Astrophysics 2022 | 10.22128/ijaa.2022.625.1130 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Instead of the work \cite{1} which in according to the Lovelock theorem it
could not applicable for all types of 4D curved spacetimes of Einstein Gauss
Bonnet (EGB) gravity, authors of the work \cite{2} applied break of
diffeomorphism property to present a consistent EGB gravity theory. In this
work we use the latter model by adding a nonlinear electromagnetic field
lagrangian density to study affects of GB coupling constant into the
thermodynamic phase transition and Joule Thomson (JT) adiabatic expansion of a
4D $dS/AdS$ GB Bardeen black hole.
| [
{
"created": "Thu, 8 Oct 2020 10:48:21 GMT",
"version": "v1"
},
{
"created": "Sat, 26 Feb 2022 14:42:50 GMT",
"version": "v2"
},
{
"created": "Sat, 16 Jul 2022 11:52:32 GMT",
"version": "v3"
}
] | 2022-12-08 | [
[
"Ghaffarnejad",
"Hossein",
""
],
[
"Ghasami",
"Elham",
""
],
[
"Yaraie",
"Emad",
""
],
[
"Farsam",
"Mohammad",
""
]
] | Instead of the work \cite{1} which in according to the Lovelock theorem it could not applicable for all types of 4D curved spacetimes of Einstein Gauss Bonnet (EGB) gravity, authors of the work \cite{2} applied break of diffeomorphism property to present a consistent EGB gravity theory. In this work we use the latter model by adding a nonlinear electromagnetic field lagrangian density to study affects of GB coupling constant into the thermodynamic phase transition and Joule Thomson (JT) adiabatic expansion of a 4D $dS/AdS$ GB Bardeen black hole. |
0910.4796 | Shijong Ryang | Shijong Ryang | Asymptotic AdS String Solutions for Null Polygonal Wilson Loops in
R^{1,2} | 17pages, LaTeX, no figures | null | 10.1142/S021773231003375X | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For the asymptotic string solution in AdS_3 which is represented by the AdS_3
Poincare coordinates and yields the planar multi-gluon scattering amplitude at
strong coupling in arXiv:0904.0663, we express it by the AdS_4 Poincare
coordinates and demonstrate that the hexagonal and octagonal Wilson loops
surrounding the string surfaces take closed contours consisting of null vectors
in R^{1,2} owing to the relations of Stokes matrices. For the tetragonal Wilson
loop we construct a string solution characterized by two parameters by solving
the auxiliary linear problems and demanding a reality condition, and analyze
the asymptotic behavior of the solution in R^{1,2}. The freedoms of two
parameters are related with some conformal SO(2,4) transformations.
| [
{
"created": "Mon, 26 Oct 2009 02:29:10 GMT",
"version": "v1"
}
] | 2015-05-14 | [
[
"Ryang",
"Shijong",
""
]
] | For the asymptotic string solution in AdS_3 which is represented by the AdS_3 Poincare coordinates and yields the planar multi-gluon scattering amplitude at strong coupling in arXiv:0904.0663, we express it by the AdS_4 Poincare coordinates and demonstrate that the hexagonal and octagonal Wilson loops surrounding the string surfaces take closed contours consisting of null vectors in R^{1,2} owing to the relations of Stokes matrices. For the tetragonal Wilson loop we construct a string solution characterized by two parameters by solving the auxiliary linear problems and demanding a reality condition, and analyze the asymptotic behavior of the solution in R^{1,2}. The freedoms of two parameters are related with some conformal SO(2,4) transformations. |
hep-th/0507201 | Keith R. Dienes | Keith R. Dienes, Michael Lennek | How to Extrapolate A String Model to Finite Temperature: Interpolations
and Implications for the Hagedorn Transition | 15 pages, ReVTeX, no figures | null | null | null | hep-th | null | In this paper, we discuss the important question of how to extrapolate a
given zero-temperature string model to finite temperature. It turns out that
this issue is surprisingly subtle, and we show that many of the standard
results require modification. For concreteness, we focus on the case of the
ten-dimensional SO(32) heterotic string, and show that the usual
finite-temperature extrapolation for this string is inconsistent at the level
of a proper worldsheet theory. We then derive the proper extrapolation, and in
the process uncover a universal Hagedorn temperature for all tachyon-free
closed string theories in ten dimensions --- both Type II and heterotic. As we
discuss, these results are not in conflict with the well-known exponential
growth in the degeneracies of string states in such models. This writeup is a
concise summary of our recent paper hep-th/0505233, here presented using a
``bottom-up'' approach based on determining self-consistent finite-temperature
extrapolations of zero-temperature string models. Some new results and
observations are also added.
| [
{
"created": "Wed, 20 Jul 2005 19:46:36 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Dienes",
"Keith R.",
""
],
[
"Lennek",
"Michael",
""
]
] | In this paper, we discuss the important question of how to extrapolate a given zero-temperature string model to finite temperature. It turns out that this issue is surprisingly subtle, and we show that many of the standard results require modification. For concreteness, we focus on the case of the ten-dimensional SO(32) heterotic string, and show that the usual finite-temperature extrapolation for this string is inconsistent at the level of a proper worldsheet theory. We then derive the proper extrapolation, and in the process uncover a universal Hagedorn temperature for all tachyon-free closed string theories in ten dimensions --- both Type II and heterotic. As we discuss, these results are not in conflict with the well-known exponential growth in the degeneracies of string states in such models. This writeup is a concise summary of our recent paper hep-th/0505233, here presented using a ``bottom-up'' approach based on determining self-consistent finite-temperature extrapolations of zero-temperature string models. Some new results and observations are also added. |
1307.5651 | Hernan Gonzalez | Hernan A. Gonzalez, Javier Matulich, Miguel Pino, Ricardo Troncoso | Asymptotically flat spacetimes in three-dimensional higher spin gravity | 12 pages, no figures. v2: References added and typos corrected. A new
appendix is also included. v3: Typos corrected. Matches published version | null | 10.1007/JHEP09(2013)016 | CECS-PHY-13/06 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A consistent set of asymptotic conditions for higher spin gravity in three
dimensions is proposed in the case of vanishing cosmological constant. The
asymptotic symmetries are found to be spanned by a higher spin extension of the
BMS3 algebra with an appropriate central extension. It is also shown that our
results can be recovered from the ones recently found for asymptotically AdS3
spacetimes by virtue of a suitable gauge choice that allows to perform the
vanishing cosmological constant limit.
| [
{
"created": "Mon, 22 Jul 2013 10:50:50 GMT",
"version": "v1"
},
{
"created": "Wed, 31 Jul 2013 00:33:43 GMT",
"version": "v2"
},
{
"created": "Fri, 6 Sep 2013 00:53:49 GMT",
"version": "v3"
}
] | 2013-09-09 | [
[
"Gonzalez",
"Hernan A.",
""
],
[
"Matulich",
"Javier",
""
],
[
"Pino",
"Miguel",
""
],
[
"Troncoso",
"Ricardo",
""
]
] | A consistent set of asymptotic conditions for higher spin gravity in three dimensions is proposed in the case of vanishing cosmological constant. The asymptotic symmetries are found to be spanned by a higher spin extension of the BMS3 algebra with an appropriate central extension. It is also shown that our results can be recovered from the ones recently found for asymptotically AdS3 spacetimes by virtue of a suitable gauge choice that allows to perform the vanishing cosmological constant limit. |
2401.09597 | Theodore Jacobson | Theodore Jacobson and Tin Sulejmanpasic | Canonical quantization of lattice Chern-Simons theory | 25 pages, 6 figures | null | null | null | hep-th hep-lat | http://creativecommons.org/licenses/by/4.0/ | We discuss the canonical quantization of $U(1)_k$ Chern-Simons theory on a
spatial lattice. In addition to the usual local Gauss law constraints, the
physical Hilbert space is defined by 1-form gauge constraints implementing the
compactness of the $U(1)$ gauge group, and (depending on the details of the
spatial lattice) non-local constraints which project out unframed Wilson loops.
Though the ingredients of the lattice model are bosonic, the physical Hilbert
space is finite-dimensional, with exactly $k$ ground states on a spatial torus.
We quantize both the bosonic (even level) and fermionic (odd level) theories,
describing in detail how the latter depends on a choice of spin structure.
| [
{
"created": "Wed, 17 Jan 2024 21:11:10 GMT",
"version": "v1"
}
] | 2024-01-19 | [
[
"Jacobson",
"Theodore",
""
],
[
"Sulejmanpasic",
"Tin",
""
]
] | We discuss the canonical quantization of $U(1)_k$ Chern-Simons theory on a spatial lattice. In addition to the usual local Gauss law constraints, the physical Hilbert space is defined by 1-form gauge constraints implementing the compactness of the $U(1)$ gauge group, and (depending on the details of the spatial lattice) non-local constraints which project out unframed Wilson loops. Though the ingredients of the lattice model are bosonic, the physical Hilbert space is finite-dimensional, with exactly $k$ ground states on a spatial torus. We quantize both the bosonic (even level) and fermionic (odd level) theories, describing in detail how the latter depends on a choice of spin structure. |
hep-th/9906185 | Bajnok Zoltan | Z. Bajnok | A new approach to the correlation functions of W-algebras | 22 pages, LaTeX, Extended version of the talk presented at CFT and
Integrable models, Budapest, 1996 | null | null | ITP-Budapest 524 | hep-th | null | We propose a new approach to the study of the correlation functions of
W-algebras. The conformal blocks (chiral correlation functions), for fixed
arguments, are defined to be those linear functionals on the product of the
highest weight (h.w.) representation spaces which satisfy the Ward identities.
First we investigate the dimension of the chiral correlation functions in the
case when there is no singular vector in any of the representations. Then we
pass to the analysis of the completely degenerate representations. A special
subspace of the h.w. representation spaces, introduced by Nahm, plays an
important role in the considerations. The structure of these subspaces shows a
deep connection with the quantum and classical Toda models and relates certain
completely degenerate representations of the \wg algebra to representations of
$G$. This is confirmed by an analysis for the Virasoro, \wa2 and \wbc2 algebra.
We also relate our work to Nahms, Feigen-Fuchs' and Watts' results.
| [
{
"created": "Thu, 24 Jun 1999 13:23:18 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Bajnok",
"Z.",
""
]
] | We propose a new approach to the study of the correlation functions of W-algebras. The conformal blocks (chiral correlation functions), for fixed arguments, are defined to be those linear functionals on the product of the highest weight (h.w.) representation spaces which satisfy the Ward identities. First we investigate the dimension of the chiral correlation functions in the case when there is no singular vector in any of the representations. Then we pass to the analysis of the completely degenerate representations. A special subspace of the h.w. representation spaces, introduced by Nahm, plays an important role in the considerations. The structure of these subspaces shows a deep connection with the quantum and classical Toda models and relates certain completely degenerate representations of the \wg algebra to representations of $G$. This is confirmed by an analysis for the Virasoro, \wa2 and \wbc2 algebra. We also relate our work to Nahms, Feigen-Fuchs' and Watts' results. |
hep-th/0506170 | Armen Nersessian | Armen Nersessian | Elements of (super-)Hamiltonian Formalism | Lectures given at the Winter School on Modern Trends in
Supersymmetric Mechanics, March 2005 Frascati; misprints corrected | Lect.Notes Phys.698:139-188,2006 | 10.1007/3-540-33314-2_4 | null | hep-th | null | In these lectures we discuss some basic aspects of Hamiltonian formalism,
which usually do not appear in standard texbooks on classical mechanics for
physicists. We pay special attention to the procedure of Hamiltonian reduction
illustrating it by the examples related to Hopf maps. Then we briefly discuss
the supergeneralisation(s) of the Hamiltonian formalism and present some simple
models of supersymmetric mechanics on K\"ahler manifolds.
| [
{
"created": "Tue, 21 Jun 2005 07:57:58 GMT",
"version": "v1"
},
{
"created": "Sun, 15 Jan 2006 15:17:34 GMT",
"version": "v2"
},
{
"created": "Fri, 28 Apr 2006 08:47:16 GMT",
"version": "v3"
}
] | 2011-03-28 | [
[
"Nersessian",
"Armen",
""
]
] | In these lectures we discuss some basic aspects of Hamiltonian formalism, which usually do not appear in standard texbooks on classical mechanics for physicists. We pay special attention to the procedure of Hamiltonian reduction illustrating it by the examples related to Hopf maps. Then we briefly discuss the supergeneralisation(s) of the Hamiltonian formalism and present some simple models of supersymmetric mechanics on K\"ahler manifolds. |
hep-th/0010070 | Hugo Fort | H. Fort | Comment on "First Order Transition in the Ginzburg-Landau Model" | 2 pages, 2 postscript (eps) figures | null | null | null | hep-th | null | I present clear evidences that for $d$=2 a first order transition takes place
when the coherence length $\xi$ becomes of the order of the lattice spacing and
that this is connected with a sudden proliferation of vortices. Similar results
where reported in cond-mat/0010119 although using a different parametrization
of the G-L model which obscures the comparison with recent results obtained by
means of a variational approximation.
| [
{
"created": "Tue, 10 Oct 2000 18:17:41 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Fort",
"H.",
""
]
] | I present clear evidences that for $d$=2 a first order transition takes place when the coherence length $\xi$ becomes of the order of the lattice spacing and that this is connected with a sudden proliferation of vortices. Similar results where reported in cond-mat/0010119 although using a different parametrization of the G-L model which obscures the comparison with recent results obtained by means of a variational approximation. |
2004.14376 | Nilakash Sorokhaibam | Tousik Samui and Nilakash Sorokhaibam | Thermalization in different phases of charged SYK model | Published version with minor changes and corrections | null | 10.1007/JHEP04(2021)157 | null | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study thermalization of charged SYK model in two different phases. We show
that both the highly chaotic liquid phase and the dilute gas phase thermalize.
Surprisingly the dilute gas state thermalizes instantaneously. We argue that
this phenomenon arises because the system in this phase consists of only
long-lived quasi-particles at very low density. The liquid state thermalizes
exponentially fast. We also show that the additional introduction of random
mass deformation (q=2 SYK term) slows down thermalization but the system
thermalizes exponentially fast. This is observed despite the fact that the
addition of large q=2 SYK interaction forces spectral statistics to obey
Poisson statistics. An interesting new observation is that the effective
temperature is non-monotonic during thermalization in the liquid state. It has
a bump at relatively long time before settling down to the final value. With
non-zero chemical potential, the effective temperature oscillates noticeably
before settling down to the final value.
| [
{
"created": "Wed, 29 Apr 2020 17:56:22 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Nov 2020 14:37:58 GMT",
"version": "v2"
},
{
"created": "Sun, 16 May 2021 12:10:22 GMT",
"version": "v3"
}
] | 2021-05-18 | [
[
"Samui",
"Tousik",
""
],
[
"Sorokhaibam",
"Nilakash",
""
]
] | We study thermalization of charged SYK model in two different phases. We show that both the highly chaotic liquid phase and the dilute gas phase thermalize. Surprisingly the dilute gas state thermalizes instantaneously. We argue that this phenomenon arises because the system in this phase consists of only long-lived quasi-particles at very low density. The liquid state thermalizes exponentially fast. We also show that the additional introduction of random mass deformation (q=2 SYK term) slows down thermalization but the system thermalizes exponentially fast. This is observed despite the fact that the addition of large q=2 SYK interaction forces spectral statistics to obey Poisson statistics. An interesting new observation is that the effective temperature is non-monotonic during thermalization in the liquid state. It has a bump at relatively long time before settling down to the final value. With non-zero chemical potential, the effective temperature oscillates noticeably before settling down to the final value. |
hep-th/0101178 | Tsuda | Kazunari Shima and Motomu Tsuda | New supersymmetry algebra on gravitational interaction of
Nambu-Goldstone fermion | 8 pages, Latex, a comment added, some typos corrected | Phys.Lett. B507 (2001) 260-264 | 10.1016/S0370-2693(01)00469-5 | SIT-LP-01/01 | hep-th | null | The spacetime symmetries of SGM action proposed as the gravitational coupling
of N-G fermions are investigated. The commutators of new nonlinear
supersymmetry (NL SUSY) transformations form a closed algebra, which reveals
N-G fermion (NL SUSY) nature and a generalized general coordinate
transformation. A generalized local Lorentz transformation, which forms a
closed algebra, is also introduced.
| [
{
"created": "Fri, 26 Jan 2001 04:44:16 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Feb 2001 08:27:02 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Shima",
"Kazunari",
""
],
[
"Tsuda",
"Motomu",
""
]
] | The spacetime symmetries of SGM action proposed as the gravitational coupling of N-G fermions are investigated. The commutators of new nonlinear supersymmetry (NL SUSY) transformations form a closed algebra, which reveals N-G fermion (NL SUSY) nature and a generalized general coordinate transformation. A generalized local Lorentz transformation, which forms a closed algebra, is also introduced. |
2011.11652 | Mario Herrero-Valea | Mario Herrero-Valea, Raquel Santos-Garcia, Anna Tokareva | Massless Positivity in Graviton Exchange | 9 pages, 1 figure. Matches journal version | null | 10.1103/PhysRevD.104.085022 | FTUAM-20-26, IFT-UAM/CSIC-20-162, INR-TH-2020-043 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We formulate Positivity Bounds for scattering amplitudes including exchange
of massless particles. We generalize the standard construction through
dispersion relations to include the presence of a branch cut along the real
axis in the complex plane for the Maldestam variable $s$. In general, validity
of these bounds require the cancellation of divergences in the forward limit of
the amplitude, proportional to $t^{-1}$ and $\log(t)$. We show that this is
possible in the case of gravitons if one assumes a Regge behavior of the
amplitude at high energies below the Planck scale, as previously suggested in
the literature, and that the concrete UV behaviour of the amplitude is uniquely
determined by the structure of IR divergences. We thus extend previous results
by including a sub-leading logarithmic term, which we show to be universal. The
bounds that we present here have the potential of constraining very general
models of modified gravity and EFTs of matter coupled to gravitation.
| [
{
"created": "Mon, 23 Nov 2020 19:00:05 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Dec 2020 15:58:41 GMT",
"version": "v2"
},
{
"created": "Mon, 22 Feb 2021 09:32:12 GMT",
"version": "v3"
},
{
"created": "Tue, 7 Dec 2021 09:01:48 GMT",
"version": "v4"
}
] | 2021-12-08 | [
[
"Herrero-Valea",
"Mario",
""
],
[
"Santos-Garcia",
"Raquel",
""
],
[
"Tokareva",
"Anna",
""
]
] | We formulate Positivity Bounds for scattering amplitudes including exchange of massless particles. We generalize the standard construction through dispersion relations to include the presence of a branch cut along the real axis in the complex plane for the Maldestam variable $s$. In general, validity of these bounds require the cancellation of divergences in the forward limit of the amplitude, proportional to $t^{-1}$ and $\log(t)$. We show that this is possible in the case of gravitons if one assumes a Regge behavior of the amplitude at high energies below the Planck scale, as previously suggested in the literature, and that the concrete UV behaviour of the amplitude is uniquely determined by the structure of IR divergences. We thus extend previous results by including a sub-leading logarithmic term, which we show to be universal. The bounds that we present here have the potential of constraining very general models of modified gravity and EFTs of matter coupled to gravitation. |
1803.02737 | Karapet Mkrtchyan | Pan Kessel and Karapet Mkrtchyan | Cubic interactions of massless bosonic fields in three dimensions II:
Parity-odd and Chern-Simons vertices | 29 pages | Phys. Rev. D 97, 106021 (2018) | 10.1103/PhysRevD.97.106021 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This work completes the classification of the cubic vertices for arbitrary
spin massless bosons in three dimensions started in a previous companion paper
by constructing parity-odd vertices. Similarly to the parity-even case, there
is a unique parity-odd vertex for any given triple $s_1\geq s_2\geq s_3\geq 2$
of massless bosons if the triangle inequalities are satisfied ($s_1<s_2+s_3$)
and none otherwise. These vertices involve two (three) derivatives for odd
(even) values of the sum $s_1+s_2+s_3$. A non-trivial relation between
parity-even and parity-odd vertices is found. Similarly to the parity-even
case, the scalar and Maxwell matter can couple to higher spins through current
couplings with higher derivatives. We comment on possible lessons for 2d CFT.
We also derive both parity-even and parity-odd vertices with Chern-Simons
fields and comment on the analogous classification in two dimensions.
| [
{
"created": "Wed, 7 Mar 2018 16:07:44 GMT",
"version": "v1"
}
] | 2018-06-06 | [
[
"Kessel",
"Pan",
""
],
[
"Mkrtchyan",
"Karapet",
""
]
] | This work completes the classification of the cubic vertices for arbitrary spin massless bosons in three dimensions started in a previous companion paper by constructing parity-odd vertices. Similarly to the parity-even case, there is a unique parity-odd vertex for any given triple $s_1\geq s_2\geq s_3\geq 2$ of massless bosons if the triangle inequalities are satisfied ($s_1<s_2+s_3$) and none otherwise. These vertices involve two (three) derivatives for odd (even) values of the sum $s_1+s_2+s_3$. A non-trivial relation between parity-even and parity-odd vertices is found. Similarly to the parity-even case, the scalar and Maxwell matter can couple to higher spins through current couplings with higher derivatives. We comment on possible lessons for 2d CFT. We also derive both parity-even and parity-odd vertices with Chern-Simons fields and comment on the analogous classification in two dimensions. |
1708.06380 | Konstantin Aleshkin | Konstantin Aleshkin, Vladimir Belavin, Chaiho Rim | Minimal gravity and Frobenius manifolds: bulk correlation on sphere and
disk | null | null | 10.1007/JHEP11(2017)169 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | There are two alternative approaches to the minimal gravity - direct
Liouville approach and matrix models. Recently there has been a certain
progress in the matrix model approach, growing out of presence of a Frobenius
manifold (FM) structure embedded in the theory. The previous studies were
mainly focused on the spherical topology. Essentially, it was shown that the
action principle of Douglas equation allows to define the free energy and to
compute the correlation numbers if the resonance transformations are properly
incorporated. The FM structure allows to find the explicit form of the
resonance transformation as well as the closed expression for the partition
function. In this paper we elaborate on the case of gravitating disk. We focus
on the bulk correlators and show that in the similar way as in the closed
topology the generating function can be formulated using the set of flat
coordinates on the corresponding FM. Moreover, the resonance transformations,
which follow from the spherical topology consideration, are exactly those
needed to reproduce FZZ result of the Liouville gravity approach.
| [
{
"created": "Mon, 21 Aug 2017 18:55:10 GMT",
"version": "v1"
}
] | 2018-01-17 | [
[
"Aleshkin",
"Konstantin",
""
],
[
"Belavin",
"Vladimir",
""
],
[
"Rim",
"Chaiho",
""
]
] | There are two alternative approaches to the minimal gravity - direct Liouville approach and matrix models. Recently there has been a certain progress in the matrix model approach, growing out of presence of a Frobenius manifold (FM) structure embedded in the theory. The previous studies were mainly focused on the spherical topology. Essentially, it was shown that the action principle of Douglas equation allows to define the free energy and to compute the correlation numbers if the resonance transformations are properly incorporated. The FM structure allows to find the explicit form of the resonance transformation as well as the closed expression for the partition function. In this paper we elaborate on the case of gravitating disk. We focus on the bulk correlators and show that in the similar way as in the closed topology the generating function can be formulated using the set of flat coordinates on the corresponding FM. Moreover, the resonance transformations, which follow from the spherical topology consideration, are exactly those needed to reproduce FZZ result of the Liouville gravity approach. |
1407.2689 | G. S. Krishnaswami | Govind S. Krishnaswami and Sachin S. Phatak | Higgs Mechanism and the Added-Mass Effect | 14 pages, two appendices and some details added | Proc. R. Soc. A 471: 20140803 (2015) | 10.1098/rspa.2014.0803 | null | hep-th physics.flu-dyn | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the Higgs mechanism, mediators of the weak force acquire masses by
interacting with the Higgs condensate, leading to a vector boson mass matrix.
On the other hand, a rigid body accelerated through an inviscid, incompressible
and irrotational fluid feels an opposing force linearly related to its
acceleration, via an added-mass tensor. We uncover a striking physical analogy
between the two effects and propose a dictionary relating them. The
correspondence turns the gauge Lie algebra into the space of directions in
which the body can move, encodes the pattern of gauge symmetry breaking in the
shape of an associated body and relates symmetries of the body to those of the
scalar vacuum manifold. The new viewpoint is illustrated with numerous
examples, and raises interesting questions, notably on the fluid analogs of the
broken symmetry and Higgs particle, and the field-theoretic analogue of the
added mass of a composite body.
| [
{
"created": "Thu, 10 Jul 2014 04:42:08 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Sep 2014 08:15:07 GMT",
"version": "v2"
},
{
"created": "Tue, 17 Mar 2015 14:16:02 GMT",
"version": "v3"
}
] | 2015-03-18 | [
[
"Krishnaswami",
"Govind S.",
""
],
[
"Phatak",
"Sachin S.",
""
]
] | In the Higgs mechanism, mediators of the weak force acquire masses by interacting with the Higgs condensate, leading to a vector boson mass matrix. On the other hand, a rigid body accelerated through an inviscid, incompressible and irrotational fluid feels an opposing force linearly related to its acceleration, via an added-mass tensor. We uncover a striking physical analogy between the two effects and propose a dictionary relating them. The correspondence turns the gauge Lie algebra into the space of directions in which the body can move, encodes the pattern of gauge symmetry breaking in the shape of an associated body and relates symmetries of the body to those of the scalar vacuum manifold. The new viewpoint is illustrated with numerous examples, and raises interesting questions, notably on the fluid analogs of the broken symmetry and Higgs particle, and the field-theoretic analogue of the added mass of a composite body. |
2202.09000 | Chiung Hwang | Chiung Hwang, Sungjoon Kim, Jaemo Park | Monopole deformations of 3d Seiberg-like dualities with adjoint matters | 57 pages | null | 10.1007/JHEP11(2022)111 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose new 3d $\mathcal{N}=2$ Seiberg-like dualities by considering
various monopole superpotential deformations on 3d $\mathcal{N}=2$ $U(N_c)$
SQCDs with fundamental and adjoint matter fields. We provide nontrivial
evidence of these new dualities by comparing the superconformal indices, from
which we analyze the change of the moduli space due to the monopole
deformation. In addition, we perform the $F$-maximization to check the
relevance of the monopole deformation for some examples, one of which is found
to exhibit nontrivial symmetry enhancement in the IR. We prove such enhancement
of the global symmetry using the superconformal index.
| [
{
"created": "Fri, 18 Feb 2022 03:11:08 GMT",
"version": "v1"
}
] | 2022-11-30 | [
[
"Hwang",
"Chiung",
""
],
[
"Kim",
"Sungjoon",
""
],
[
"Park",
"Jaemo",
""
]
] | We propose new 3d $\mathcal{N}=2$ Seiberg-like dualities by considering various monopole superpotential deformations on 3d $\mathcal{N}=2$ $U(N_c)$ SQCDs with fundamental and adjoint matter fields. We provide nontrivial evidence of these new dualities by comparing the superconformal indices, from which we analyze the change of the moduli space due to the monopole deformation. In addition, we perform the $F$-maximization to check the relevance of the monopole deformation for some examples, one of which is found to exhibit nontrivial symmetry enhancement in the IR. We prove such enhancement of the global symmetry using the superconformal index. |
2404.13187 | Claudio B\'orquez | Byron Droguett and Claudio B\'orquez | Casimir effect of a rough membrane in an Aether-like Lorentz-violating
scenario | We attach brief comments on the calculations | null | null | null | hep-th math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | We explore the Casimir effect of a rough membrane within the framework of
theories that break Lorentz symmetry. We consider two constant Aether vectors:
one timelike and other spacelike, simultaneously. We employ an appropriate
change of coordinates such that the membrane assumes a completely flat border
and the remaining terms associated with the roughness are considered as part of
the potential. Quantum fluctuations are induced by a scalar quantum field
subject to Dirichlet boundary conditions. The spectrum is obtained through
perturbation theory and regularized using the $\zeta$--function method. We
provide an explicit example of a membrane with periodic boundaries. The
presence of Aether vectors has a significant impact on the dominant term of the
Casimir effect, while roughness only affects the secondary terms. Additionally,
we examine the finite-temperature case.
| [
{
"created": "Fri, 19 Apr 2024 21:23:10 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Jun 2024 20:20:15 GMT",
"version": "v2"
}
] | 2024-06-18 | [
[
"Droguett",
"Byron",
""
],
[
"Bórquez",
"Claudio",
""
]
] | We explore the Casimir effect of a rough membrane within the framework of theories that break Lorentz symmetry. We consider two constant Aether vectors: one timelike and other spacelike, simultaneously. We employ an appropriate change of coordinates such that the membrane assumes a completely flat border and the remaining terms associated with the roughness are considered as part of the potential. Quantum fluctuations are induced by a scalar quantum field subject to Dirichlet boundary conditions. The spectrum is obtained through perturbation theory and regularized using the $\zeta$--function method. We provide an explicit example of a membrane with periodic boundaries. The presence of Aether vectors has a significant impact on the dominant term of the Casimir effect, while roughness only affects the secondary terms. Additionally, we examine the finite-temperature case. |
hep-th/9611167 | Jon Magne Leinaas | Jon Magne Leinaas | Generalized statistics and the algebra of observables | 22 pages, Invited lecture given at the 4th International School of
Theoretical Physics, Symmetry and Structural Properties of Condensed Matter,
Zajaczkowo, 28.August - 4.September 1996 | null | null | Oslo-TP 15-96 | hep-th cond-mat | null | A short review is given of how to apply the algebraic Heisenberg quantization
scheme to a system of identical particles. For two particles in one dimension
the approach leads to a generalization of the Bose and Fermi description which
can be expressed in the form of a 1/x^2 statistics interaction between the
particles. For an N-particle system it is shown how a particular
infinite-dimensional algebra arises as a generalization of the su(1,1) algebra
which is present for the two-particle system.
| [
{
"created": "Thu, 21 Nov 1996 12:45:13 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Leinaas",
"Jon Magne",
""
]
] | A short review is given of how to apply the algebraic Heisenberg quantization scheme to a system of identical particles. For two particles in one dimension the approach leads to a generalization of the Bose and Fermi description which can be expressed in the form of a 1/x^2 statistics interaction between the particles. For an N-particle system it is shown how a particular infinite-dimensional algebra arises as a generalization of the su(1,1) algebra which is present for the two-particle system. |
hep-th/0603012 | Michael Gutperle | Eric D'Hoker, John Estes and Michael Gutperle | Ten-dimensional supersymmetric Janus solutions | 48 pages, 6 figures, LaTeX, reference to Chamseddine and Volkov added | Nucl.Phys.B757:79-116,2006 | 10.1016/j.nuclphysb.2006.08.017 | UCLA/06/TEP/02 | hep-th | null | The reduced field equations and BPS conditions are derived in Type IIB
supergravity for configurations of the Janus type, characterized by an
$AdS_4$-slicing of $AdS_5$, and various degrees of internal symmetry and
supersymmetry. A generalization of the Janus solution, which includes a varying
axion along with a varying dilaton, and has SO(6) internal symmetry, but
completely broken supersymmetry, is obtained analytically in terms of elliptic
functions. A supersymmetric solution with 4 conformal supersymmetries, SU(3)
internal symmetry, a varying axion along with a varying dilaton, and
non-trivial $B_{(2)}$ field, is derived analytically in terms of genus 3
hyper-elliptic integrals. This supersymmetric solution is the 10-dimensional
Type IIB dual to the $\N=1$ interface super-Yang-Mills theory with SU(3)
internal symmetry previously found in the literature.
| [
{
"created": "Thu, 2 Mar 2006 17:22:18 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Aug 2006 16:49:04 GMT",
"version": "v2"
},
{
"created": "Tue, 26 Jun 2007 21:11:46 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"D'Hoker",
"Eric",
""
],
[
"Estes",
"John",
""
],
[
"Gutperle",
"Michael",
""
]
] | The reduced field equations and BPS conditions are derived in Type IIB supergravity for configurations of the Janus type, characterized by an $AdS_4$-slicing of $AdS_5$, and various degrees of internal symmetry and supersymmetry. A generalization of the Janus solution, which includes a varying axion along with a varying dilaton, and has SO(6) internal symmetry, but completely broken supersymmetry, is obtained analytically in terms of elliptic functions. A supersymmetric solution with 4 conformal supersymmetries, SU(3) internal symmetry, a varying axion along with a varying dilaton, and non-trivial $B_{(2)}$ field, is derived analytically in terms of genus 3 hyper-elliptic integrals. This supersymmetric solution is the 10-dimensional Type IIB dual to the $\N=1$ interface super-Yang-Mills theory with SU(3) internal symmetry previously found in the literature. |
hep-th/0107030 | Patricio Gaete | Patricio Gaete | On the Interquark Potential calculation from Dirac Brackets | 9 pages, latex | Phys.Lett.B515:382-386,2001 | 10.1016/S0370-2693(01)00886-3 | USM-TH-107 | hep-th | null | We obtain the binding energy of an infinitely heavy quark-antiquark pair from
Dirac brackets by computing the expectation value of the pure QCD Hamiltonian.
This procedure exploits the rich structure of the dressing around static
fermions. Some subtle points related to exhibing explicitly the interquark
energy are considered.
| [
{
"created": "Wed, 4 Jul 2001 18:30:18 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Gaete",
"Patricio",
""
]
] | We obtain the binding energy of an infinitely heavy quark-antiquark pair from Dirac brackets by computing the expectation value of the pure QCD Hamiltonian. This procedure exploits the rich structure of the dressing around static fermions. Some subtle points related to exhibing explicitly the interquark energy are considered. |
0906.4022 | Hongbo Cheng | Hongbo Cheng | The Casimir force on a piston at finite temperature in Randall-Sundrum
models | 18 pages, 4 figures | Chinese Physics C 35(2011)1084 | 10.1088/1674-1137/35/12/002 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Casimir effect for a three-parallel-plate system at finite temperature
within the frame of five-dimensional Randall-Sundrum models is studied. In the
case of Randall-Sundrum model involving two branes we find that the Casimir
force depends on the plates distance and temperature after one outer plate has
been moved to the distant place. Further we discover that the sign of the
reduced force is negative as the plate and piston locate very close, but the
reduced force nature becomes repulsive when the plates distance is not very
tiny and finally the repulsive force vanishes with extremely large plates
separation. The thermal influence causes the repulsive Casimir force greater.
Within the frame of one-brane scenario the reduced Casimir force between the
piston and one plate left keeps attractive no matter how high the temperature
is. It is interesting that the thermal effect leads the attractive Casimir
force greater instead of changing the force nature.
| [
{
"created": "Mon, 22 Jun 2009 14:36:00 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Dec 2011 04:09:55 GMT",
"version": "v2"
}
] | 2015-05-13 | [
[
"Cheng",
"Hongbo",
""
]
] | The Casimir effect for a three-parallel-plate system at finite temperature within the frame of five-dimensional Randall-Sundrum models is studied. In the case of Randall-Sundrum model involving two branes we find that the Casimir force depends on the plates distance and temperature after one outer plate has been moved to the distant place. Further we discover that the sign of the reduced force is negative as the plate and piston locate very close, but the reduced force nature becomes repulsive when the plates distance is not very tiny and finally the repulsive force vanishes with extremely large plates separation. The thermal influence causes the repulsive Casimir force greater. Within the frame of one-brane scenario the reduced Casimir force between the piston and one plate left keeps attractive no matter how high the temperature is. It is interesting that the thermal effect leads the attractive Casimir force greater instead of changing the force nature. |
1407.7777 | Anastasia Doikou | Anastasia Doikou | Jumps and twists in affine Toda field theories | 19 pages, Latex. A few comments added. Version to appear in NPB.
arXiv admin note: text overlap with arXiv:1404.7329 | Nucl. Phys. B893 (2015) 107-121 | 10.1016/j.nuclphysb.2015.02.002 | null | hep-th math-ph math.MP nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The concept of point-like "jump" defects is investigated in the context of
affine Toda field theories. The Hamiltonian formulation is employed for the
analysis of the problem. The issue is also addressed when integrable boundary
conditions ruled by the classical twisted Yangian are present. In both periodic
and boundary cases explicit expressions of conserved quantities as well as the
relevant Lax pairs and sewing conditions are extracted. It is also observed
that in the case of the twisted Yangian the bulk behavior is not affected by
the presence of the boundaries.
| [
{
"created": "Tue, 29 Jul 2014 17:07:45 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Feb 2015 20:18:57 GMT",
"version": "v2"
}
] | 2015-02-17 | [
[
"Doikou",
"Anastasia",
""
]
] | The concept of point-like "jump" defects is investigated in the context of affine Toda field theories. The Hamiltonian formulation is employed for the analysis of the problem. The issue is also addressed when integrable boundary conditions ruled by the classical twisted Yangian are present. In both periodic and boundary cases explicit expressions of conserved quantities as well as the relevant Lax pairs and sewing conditions are extracted. It is also observed that in the case of the twisted Yangian the bulk behavior is not affected by the presence of the boundaries. |
0809.0930 | Jose Juan Blanco-Pillado | Jose J. Blanco-Pillado, Handhika S. Ramadhan and Noriko Shiiki | Skyrme Branes | 14 pages, 6 figures | Phys.Rev.D79:085004,2009 | 10.1103/PhysRevD.79.085004 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We obtain static selfgravitating solitonic 3-brane solutions in the
Einstein-Skyrme model in 7D. These solitons correspond to a smooth version of
the previously discussed cosmic p-brane solutions. We show how the energy
momentum tensor of the Skyrme field is able to smooth out the singularities
found in the thin wall approximation and falls fast enough with the distance
from the core of the object so that asymptotically approaches the flat cosmic
p-brane metric.
| [
{
"created": "Thu, 4 Sep 2008 22:49:07 GMT",
"version": "v1"
}
] | 2009-07-29 | [
[
"Blanco-Pillado",
"Jose J.",
""
],
[
"Ramadhan",
"Handhika S.",
""
],
[
"Shiiki",
"Noriko",
""
]
] | We obtain static selfgravitating solitonic 3-brane solutions in the Einstein-Skyrme model in 7D. These solitons correspond to a smooth version of the previously discussed cosmic p-brane solutions. We show how the energy momentum tensor of the Skyrme field is able to smooth out the singularities found in the thin wall approximation and falls fast enough with the distance from the core of the object so that asymptotically approaches the flat cosmic p-brane metric. |
hep-th/9710226 | Miao Li | Miao Li (Univ. of Chicago) | Matrix Schwarzschild Black Holes in Large N limit | 11 pages, harvmac, references added | JHEP 9801:009,1998 | 10.1088/1126-6708/1998/01/009 | EFI-97-46 | hep-th | null | Based on a gas picture of D0-brane partons, it is shown that the entropy, as
well as the geometric size of an infinitely boosted Schwarzschild black hole,
can be accounted for in matrix theory by interactions involving spins, or
interactions involving more than two bodies simultaneously.
| [
{
"created": "Wed, 29 Oct 1997 16:00:12 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Nov 1997 21:42:11 GMT",
"version": "v2"
}
] | 2010-02-03 | [
[
"Li",
"Miao",
"",
"Univ. of Chicago"
]
] | Based on a gas picture of D0-brane partons, it is shown that the entropy, as well as the geometric size of an infinitely boosted Schwarzschild black hole, can be accounted for in matrix theory by interactions involving spins, or interactions involving more than two bodies simultaneously. |
1103.5360 | Ignacy Sawicki | Oriol Pujolas (IFAE, UAB), Ignacy Sawicki (ITP, Heidelberg) and
Alexander Vikman (CERN) | The Imperfect Fluid behind Kinetic Gravity Braiding | 23 pages plus appendices. New version includes extended discussion on
diffusion and dynamics in alternative frames, as well as additional
references. v3 reflects version accepted for publication in JHEP: minor
comments added regarding suitability to numerical approaches | JHEP 1111:156,2011 | 10.1007/JHEP11(2011)156 | CERN-PH-TH/2010-210 | hep-th astro-ph.CO gr-qc hep-ph physics.flu-dyn | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a standard hydrodynamical description for non-canonical scalar
field theories with kinetic gravity braiding. In particular, this picture
applies to the simplest galileons and k-essence. The fluid variables not only
have a clear physical meaning but also drastically simplify the analysis of the
system. The fluid carries charges corresponding to shifts in field space. This
shift-charge current contains a spatial part responsible for diffusion of the
charges. Moreover, in the incompressible limit, the equation of motion becomes
the standard diffusion equation. The fluid is indeed imperfect because the
energy flows neither along the field gradient nor along the shift current. The
fluid has zero vorticity and is not dissipative: there is no entropy
production, the energy-momentum is exactly conserved, the temperature vanishes
and there is no shear viscosity. Still, in an expansion around a perfect fluid
one can identify terms which correct the pressure in the manner of bulk
viscosity. We close by formulating the non-trivial conditions for the
thermodynamic equilibrium of this imperfect fluid.
| [
{
"created": "Mon, 28 Mar 2011 14:03:19 GMT",
"version": "v1"
},
{
"created": "Thu, 26 May 2011 18:15:37 GMT",
"version": "v2"
},
{
"created": "Sun, 13 Nov 2011 12:38:34 GMT",
"version": "v3"
}
] | 2011-12-05 | [
[
"Pujolas",
"Oriol",
"",
"IFAE, UAB"
],
[
"Sawicki",
"Ignacy",
"",
"ITP, Heidelberg"
],
[
"Vikman",
"Alexander",
"",
"CERN"
]
] | We present a standard hydrodynamical description for non-canonical scalar field theories with kinetic gravity braiding. In particular, this picture applies to the simplest galileons and k-essence. The fluid variables not only have a clear physical meaning but also drastically simplify the analysis of the system. The fluid carries charges corresponding to shifts in field space. This shift-charge current contains a spatial part responsible for diffusion of the charges. Moreover, in the incompressible limit, the equation of motion becomes the standard diffusion equation. The fluid is indeed imperfect because the energy flows neither along the field gradient nor along the shift current. The fluid has zero vorticity and is not dissipative: there is no entropy production, the energy-momentum is exactly conserved, the temperature vanishes and there is no shear viscosity. Still, in an expansion around a perfect fluid one can identify terms which correct the pressure in the manner of bulk viscosity. We close by formulating the non-trivial conditions for the thermodynamic equilibrium of this imperfect fluid. |
0704.1160 | Sean A. Hartnoll | Sean A. Hartnoll and Pavel Kovtun | Hall conductivity from dyonic black holes | 1+13 pages. TT correlator corrected. Typos corrected and added refs | Phys.Rev.D76:066001,2007 | 10.1103/PhysRevD.76.066001 | null | hep-th | null | A class of strongly interacting 2+1 dimensional conformal field theories in a
transverse magnetic field can be studied using the AdS/CFT duality. We compute
zero momentum hydrodynamic response functions of maximally supersymmetric 2+1
dimensional SU(N) Yang-Mills theory at the conformal fixed point, in the large
N limit. With background magnetic field B and electric charge density rho, the
Hall conductivity is found to be rho/B. The result, anticipated on kinematic
grounds in field theory, is obtained from perturbations of a four dimensional
AdS black hole with both electric and magnetic charges.
| [
{
"created": "Tue, 10 Apr 2007 08:27:23 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Apr 2007 22:53:06 GMT",
"version": "v2"
},
{
"created": "Thu, 18 Oct 2007 05:32:13 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Hartnoll",
"Sean A.",
""
],
[
"Kovtun",
"Pavel",
""
]
] | A class of strongly interacting 2+1 dimensional conformal field theories in a transverse magnetic field can be studied using the AdS/CFT duality. We compute zero momentum hydrodynamic response functions of maximally supersymmetric 2+1 dimensional SU(N) Yang-Mills theory at the conformal fixed point, in the large N limit. With background magnetic field B and electric charge density rho, the Hall conductivity is found to be rho/B. The result, anticipated on kinematic grounds in field theory, is obtained from perturbations of a four dimensional AdS black hole with both electric and magnetic charges. |
2311.11667 | Sven Bjarke Gudnason | Sven Bjarke Gudnason | Nonlinear rigid-body quantization of Skyrmions | REVTeX: 40 pages, 10 figures; V2: higher-order models added in Sec.
III; V3: introduction and appendix A extended, citations added, and appendix
B added with new topological energy bounds | Phys. Rev. D 109, 125001 (2024) | 10.1103/PhysRevD.109.125001 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider rigid-body quantization of the Skyrmion in the most general
four-derivative generalization of the Skyrme model with a potential giving
pions a mass, as well as in a class of higher-order Skyrme models. We quantize
the spin and isospin zeromodes following the results of Pottinger and Rathske.
Although one could hope that a one-parameter family of theories could provide a
smaller spin contribution to the energy at some point in theory space -- which
would be welcome for BPS-type models, we find that the standard Skyrme model
limit, with two time derivatives, gives rise to the smallest spin contribution
to the energy. We speculate whether this tuning of the spin energy could be
useful in the larger picture of quantizing vibrational and light massive modes
of the Skyrmions. Finally, we establish a topological energy bound for the
Pottinger-Rathske model with potential terms as well as new bounds for
higher-order Skyrme models, with and without a potential.
| [
{
"created": "Mon, 20 Nov 2023 11:07:09 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Nov 2023 03:12:17 GMT",
"version": "v2"
},
{
"created": "Tue, 21 May 2024 08:40:25 GMT",
"version": "v3"
}
] | 2024-06-05 | [
[
"Gudnason",
"Sven Bjarke",
""
]
] | We consider rigid-body quantization of the Skyrmion in the most general four-derivative generalization of the Skyrme model with a potential giving pions a mass, as well as in a class of higher-order Skyrme models. We quantize the spin and isospin zeromodes following the results of Pottinger and Rathske. Although one could hope that a one-parameter family of theories could provide a smaller spin contribution to the energy at some point in theory space -- which would be welcome for BPS-type models, we find that the standard Skyrme model limit, with two time derivatives, gives rise to the smallest spin contribution to the energy. We speculate whether this tuning of the spin energy could be useful in the larger picture of quantizing vibrational and light massive modes of the Skyrmions. Finally, we establish a topological energy bound for the Pottinger-Rathske model with potential terms as well as new bounds for higher-order Skyrme models, with and without a potential. |
hep-th/0403028 | Daniel Heber Theodoro Franco | Daniel H.T. Franco and Caio M.M. Polito | A New Derivation of the CPT and Spin-Statistics Theorems in
Non-Commutative Field Theories | The title is new, and the analysis in the manuscript has been made
more precise. This revised version is to be published in J.Math.Phys | J.Math.Phys.46:083503,2005 | 10.1063/1.1982769 | null | hep-th | null | We propose an alternative axiomatic description for non-commutative field
theories (NCFT) based on some ideas by Soloviev to nonlocal quantum fields. The
local commutativity axiom is replaced by the weaker condition that the fields
commute at sufficiently large spatial separations, called asymptotic
commutativity, formulated in terms of the theory of analytic functionals. The
question of a possible violation of the CPT and Spin-Statistics theorems caused
by nonlocality of the commutation relations
$[\hat{x}_\mu,\hat{x}_\nu]=i\theta_{\mu\nu}$ is investigated. In spite of this
inherent nonlocality, we show that the modification aforementioned is
sufficient to ensure the validity of these theorems for NCFT. We restrict
ourselves to the simplest model of a scalar field in the case of only
space-space non-commutativity.
| [
{
"created": "Tue, 2 Mar 2004 04:31:02 GMT",
"version": "v1"
},
{
"created": "Sun, 14 Mar 2004 01:44:49 GMT",
"version": "v2"
},
{
"created": "Mon, 8 Nov 2004 13:47:58 GMT",
"version": "v3"
},
{
"created": "Sat, 4 Jun 2005 19:06:03 GMT",
"version": "v4"
}
] | 2009-11-10 | [
[
"Franco",
"Daniel H. T.",
""
],
[
"Polito",
"Caio M. M.",
""
]
] | We propose an alternative axiomatic description for non-commutative field theories (NCFT) based on some ideas by Soloviev to nonlocal quantum fields. The local commutativity axiom is replaced by the weaker condition that the fields commute at sufficiently large spatial separations, called asymptotic commutativity, formulated in terms of the theory of analytic functionals. The question of a possible violation of the CPT and Spin-Statistics theorems caused by nonlocality of the commutation relations $[\hat{x}_\mu,\hat{x}_\nu]=i\theta_{\mu\nu}$ is investigated. In spite of this inherent nonlocality, we show that the modification aforementioned is sufficient to ensure the validity of these theorems for NCFT. We restrict ourselves to the simplest model of a scalar field in the case of only space-space non-commutativity. |
1507.07763 | Gonzalo Olmo | D. Bazeia, L. Losano, Gonzalo J. Olmo, D. Rubiera-Garcia, and A.
Sanchez-Puente | Classical resolution of black hole singularities in arbitrary dimension | 14 pages, 2 figures, to appear in PRD | Phys. Rev. D 92 (2015) 044018 | 10.1103/PhysRevD.92.044018 | IFIC/15-52 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A metric-affine approach is employed to study higher-dimensional modified
gravity theories involving different powers and contractions of the Ricci
tensor. It is shown that the field equations are \emph{always} second-order, as
opposed to the standard metric approach, where this is only achieved for
Lagrangians of the Lovelock type. We point out that this property might have
relevant implications for the AdS/CFT correspondence in black hole scenarios.
We illustrate these aspects by considering the case of Born-Infeld gravity in
$d$ dimensions, where we work out exact solutions for electrovacuum
configurations. Our results put forward that black hole singularities in
arbitrary dimensions can be cured in a purely classical geometric scenario
governed by second-order field equations.
| [
{
"created": "Tue, 28 Jul 2015 13:33:32 GMT",
"version": "v1"
}
] | 2015-08-28 | [
[
"Bazeia",
"D.",
""
],
[
"Losano",
"L.",
""
],
[
"Olmo",
"Gonzalo J.",
""
],
[
"Rubiera-Garcia",
"D.",
""
],
[
"Sanchez-Puente",
"A.",
""
]
] | A metric-affine approach is employed to study higher-dimensional modified gravity theories involving different powers and contractions of the Ricci tensor. It is shown that the field equations are \emph{always} second-order, as opposed to the standard metric approach, where this is only achieved for Lagrangians of the Lovelock type. We point out that this property might have relevant implications for the AdS/CFT correspondence in black hole scenarios. We illustrate these aspects by considering the case of Born-Infeld gravity in $d$ dimensions, where we work out exact solutions for electrovacuum configurations. Our results put forward that black hole singularities in arbitrary dimensions can be cured in a purely classical geometric scenario governed by second-order field equations. |
hep-th/9411237 | David Lamb | D.J.Lamb, A.Z.Capri and M. Kobayashi | Discrete spectral shift in an anisotropic universe | 11 pages, RevTeX, no figures | Mod.Phys.Lett. A9 (1994) 2945-2952 | 10.1142/S0217732394002781 | Alberta Thy-52-93 | hep-th gr-qc | null | In this paper we calculate the particle creation as seen by a stationary
observer in an anisotropic universe. By using an observer and geometry
dependent time to quantise a massive scalar field we show that a discrete
energy spectrum shift occurs. The length scale associated with the geometry
provides the energy scale by which the spectrum is shifted. The $\beta(p,q)$
coefficient for the Bogolubov transformation calculated is proportional to a
series of delta functions whose argument contains $p$ and $q$ and half
multiples of the root of the curvature.
| [
{
"created": "Wed, 30 Nov 1994 18:34:34 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Lamb",
"D. J.",
""
],
[
"Capri",
"A. Z.",
""
],
[
"Kobayashi",
"M.",
""
]
] | In this paper we calculate the particle creation as seen by a stationary observer in an anisotropic universe. By using an observer and geometry dependent time to quantise a massive scalar field we show that a discrete energy spectrum shift occurs. The length scale associated with the geometry provides the energy scale by which the spectrum is shifted. The $\beta(p,q)$ coefficient for the Bogolubov transformation calculated is proportional to a series of delta functions whose argument contains $p$ and $q$ and half multiples of the root of the curvature. |
hep-th/9302050 | Poul H. Damgaard | P.H. Damgaard and F. De Jonghe | Master Equations for Extended Lagrangian BRST Symmetries | 12 pages, LaTeX, KUL-TF-93/04 and CERN-TH-6800/93 | Phys.Lett. B305 (1993) 59-66 | 10.1016/0370-2693(93)91105-V | null | hep-th | null | Starting from the requirement that a Lagrangian field theory be invariant
under both Schwinger-Dyson BRST and Schwinger-Dyson anti-BRST symmetry, we
derive the BRST--anti-BRST analogue of the Batalin-Vilkovisky formalism. This
is done through standard Lagrangian gauge fixing respecting the extended BRST
symmetry. The solutions of the resulting Master Equation and the gauge-fixing
procedure for the quantum action can be brought into forms that coincide with
those obtained earlier on algebraic grounds by Batalin, Lavrov and Tyutin.
| [
{
"created": "Fri, 12 Feb 1993 12:57:24 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Damgaard",
"P. H.",
""
],
[
"De Jonghe",
"F.",
""
]
] | Starting from the requirement that a Lagrangian field theory be invariant under both Schwinger-Dyson BRST and Schwinger-Dyson anti-BRST symmetry, we derive the BRST--anti-BRST analogue of the Batalin-Vilkovisky formalism. This is done through standard Lagrangian gauge fixing respecting the extended BRST symmetry. The solutions of the resulting Master Equation and the gauge-fixing procedure for the quantum action can be brought into forms that coincide with those obtained earlier on algebraic grounds by Batalin, Lavrov and Tyutin. |
hep-th/9910006 | Dmitrij Fursaev | V.P. Frolov and D.V. Fursaev | Statistical Mechanics of Charged Black Holes in Induced Einstein-Maxwell
Gravity | 16 pages, latex, no figures | Phys.Rev. D61 (2000) 064010 | 10.1103/PhysRevD.61.064010 | null | hep-th | null | The statistical origin of the entropy of charged black holes in models of
induced Einstein-Maxwell gravity is investigated. The constituents inducing the
Einstein-Maxwell action are charged and interact with an external gauge
potential. This new feature, however, does not change divergences of the
statistical-mechanical entropy of the constituents near the horizon. It is
demonstrated that the mechanism of generation of the Bekenstein-Hawking entropy
in induced gravity is universal and it is basically the same for charged and
neutral black holes. The concrete computations are carried out for induced
Einstein-Maxwell gravity with a negative cosmological constant in three
space-time dimensions.
| [
{
"created": "Fri, 1 Oct 1999 11:19:48 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Frolov",
"V. P.",
""
],
[
"Fursaev",
"D. V.",
""
]
] | The statistical origin of the entropy of charged black holes in models of induced Einstein-Maxwell gravity is investigated. The constituents inducing the Einstein-Maxwell action are charged and interact with an external gauge potential. This new feature, however, does not change divergences of the statistical-mechanical entropy of the constituents near the horizon. It is demonstrated that the mechanism of generation of the Bekenstein-Hawking entropy in induced gravity is universal and it is basically the same for charged and neutral black holes. The concrete computations are carried out for induced Einstein-Maxwell gravity with a negative cosmological constant in three space-time dimensions. |
2212.11217 | Sergio Benvenuti | Stephane Bajeot and Sergio Benvenuti | 4d N=1 dualities from 5d dualities | 50 pages, many figures. V2: "n even" case added in sec. 5 | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We consider $5d$ KK dualities, that is multiple $5d$ gauge theories with the
same $6d$ infinite coupling limit. We provide a prescription to associate $4d$
$N=1$ quivers to the $5d$ dual quivers, such that the $4d$ quivers are also
dual to each other. The $4d$ dualities are infrared dualities which can be
checked matching global symmetry anomalies and in certain cases can be proven
using basic Seiberg dualities sequentially. We also consider dualities obtained
by Higgsing in two different ways the same $5d$ theory, in some simple
examples.
| [
{
"created": "Wed, 21 Dec 2022 17:46:29 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Feb 2024 08:18:54 GMT",
"version": "v2"
}
] | 2024-02-22 | [
[
"Bajeot",
"Stephane",
""
],
[
"Benvenuti",
"Sergio",
""
]
] | We consider $5d$ KK dualities, that is multiple $5d$ gauge theories with the same $6d$ infinite coupling limit. We provide a prescription to associate $4d$ $N=1$ quivers to the $5d$ dual quivers, such that the $4d$ quivers are also dual to each other. The $4d$ dualities are infrared dualities which can be checked matching global symmetry anomalies and in certain cases can be proven using basic Seiberg dualities sequentially. We also consider dualities obtained by Higgsing in two different ways the same $5d$ theory, in some simple examples. |
2303.17313 | A. Yu. Petrov | J. R. Nascimento, Gonzalo J. Olmo, A. Yu. Petrov, P. J. Porfirio | On metric-affine bumblebee model coupled to scalar matter | 18 pages, version accepted to Nuclear Physics B | Nucl. Phys. B1004, 116577 (2024) | 10.1016/j.nuclphysb.2024.116577 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the coupling of the metric-affine bumblebee gravity model to
scalar matter and calculate the lower-order contributions to two-point
functions of bumblebee and scalar fields in the weak gravity approximation. We
also obtain the one-loop effective potentials for both scalar and vector
fields.
| [
{
"created": "Thu, 30 Mar 2023 12:02:01 GMT",
"version": "v1"
},
{
"created": "Mon, 27 May 2024 16:11:56 GMT",
"version": "v2"
}
] | 2024-05-30 | [
[
"Nascimento",
"J. R.",
""
],
[
"Olmo",
"Gonzalo J.",
""
],
[
"Petrov",
"A. Yu.",
""
],
[
"Porfirio",
"P. J.",
""
]
] | We consider the coupling of the metric-affine bumblebee gravity model to scalar matter and calculate the lower-order contributions to two-point functions of bumblebee and scalar fields in the weak gravity approximation. We also obtain the one-loop effective potentials for both scalar and vector fields. |
1010.0255 | Andre Lukas | Lara B. Anderson, James Gray, Andre Lukas, Burt Ovrut | Stabilizing the Complex Structure in Heterotic Calabi-Yau Vacua | 17 pages, Latex | JHEP 1102:088,2011 | 10.1007/JHEP02(2011)088 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we show that the presence of gauge fields in heterotic
Calabi-Yau compacitifications causes the stabilisation of some, or all, of the
complex structure moduli of the Calabi-Yau manifold while maintaining a
Minkowski vacuum. Certain deformations of the Calabi-Yau complex structure,
with all other moduli held fixed, can lead to the gauge bundle becoming
non-holomorphic and, hence, non-supersymmetric. This leads to an F-term
potential which stabilizes the corresponding complex structure moduli. We use
10- and 4-dimensional field theory arguments as well as a derivation based
purely on algebraic geometry to show that this picture is indeed correct. An
explicit example is presented in which a large subset of complex structure
moduli is fixed. We demonstrate that this type of theory can serve as the
hidden sector in heterotic vacua and can co-exist with realistic particle
physics.
| [
{
"created": "Fri, 1 Oct 2010 20:06:09 GMT",
"version": "v1"
}
] | 2011-03-02 | [
[
"Anderson",
"Lara B.",
""
],
[
"Gray",
"James",
""
],
[
"Lukas",
"Andre",
""
],
[
"Ovrut",
"Burt",
""
]
] | In this paper, we show that the presence of gauge fields in heterotic Calabi-Yau compacitifications causes the stabilisation of some, or all, of the complex structure moduli of the Calabi-Yau manifold while maintaining a Minkowski vacuum. Certain deformations of the Calabi-Yau complex structure, with all other moduli held fixed, can lead to the gauge bundle becoming non-holomorphic and, hence, non-supersymmetric. This leads to an F-term potential which stabilizes the corresponding complex structure moduli. We use 10- and 4-dimensional field theory arguments as well as a derivation based purely on algebraic geometry to show that this picture is indeed correct. An explicit example is presented in which a large subset of complex structure moduli is fixed. We demonstrate that this type of theory can serve as the hidden sector in heterotic vacua and can co-exist with realistic particle physics. |
2308.01076 | Kengo Shimada | Sinya Aoki, J\'anos Balog, Kiyoharu Kawana, Kengo Shimada | Bulk modified gravity from a thermal CFT by the conformal flow | 24 pages, 2 figures | null | null | YITP-23-95 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a bulk spacetime from a boundary CFT, $O(N)$ free scalar model,
at finite temperature using a smearing technique, called a conformal flow. The
bulk metric is constructed as an information metric associated with the
boundary thermal state. Near the boundary (UV region), an asymptotically AdS
spacetime is obtained with a leading order perturbation of scalar mode. Based
on the falloff behavior of the perturbations and the $O(N)$ symmetry in the
CFT, we argue that the corresponding bulk theory is a modified gravity with
scalar mode such as $f(R)$ gravity rather than Einstein's general relativity
coupled minimally to matter fields. Moving to Einstein frame, we show that the
metric is asymptotically the same as the AdS black brane solution. On the other
hand, deep in the bulk (IR region), the spacetime turns out to be conformally
equivalent to the near horizon limit of AdS extremal black brane, though it is
no longer a solution of $f(R)$ gravity, and hence more general classes of
modified gravity need to be considered.
| [
{
"created": "Wed, 2 Aug 2023 11:01:21 GMT",
"version": "v1"
}
] | 2023-08-03 | [
[
"Aoki",
"Sinya",
""
],
[
"Balog",
"János",
""
],
[
"Kawana",
"Kiyoharu",
""
],
[
"Shimada",
"Kengo",
""
]
] | We construct a bulk spacetime from a boundary CFT, $O(N)$ free scalar model, at finite temperature using a smearing technique, called a conformal flow. The bulk metric is constructed as an information metric associated with the boundary thermal state. Near the boundary (UV region), an asymptotically AdS spacetime is obtained with a leading order perturbation of scalar mode. Based on the falloff behavior of the perturbations and the $O(N)$ symmetry in the CFT, we argue that the corresponding bulk theory is a modified gravity with scalar mode such as $f(R)$ gravity rather than Einstein's general relativity coupled minimally to matter fields. Moving to Einstein frame, we show that the metric is asymptotically the same as the AdS black brane solution. On the other hand, deep in the bulk (IR region), the spacetime turns out to be conformally equivalent to the near horizon limit of AdS extremal black brane, though it is no longer a solution of $f(R)$ gravity, and hence more general classes of modified gravity need to be considered. |
hep-th/9901080 | Shahin S. Jabbari | M.M. Sheikh-Jabbari | Open Strings in a B-field Background as Electric Dipoles | 9 pages, Latex File | Phys.Lett.B455:129-134,1999 | 10.1016/S0370-2693(99)00462-1 | IPM/P-99/04 | hep-th | null | Studying dynamics of open strings attached to a D2-brane in a NS two form
field background, we find that these open strings act as dipoles of U(1) gauge
field of the brane. This provides an string theoretic description of the flux
modifications needed for the DBI action on noncommutative torus.
| [
{
"created": "Tue, 19 Jan 1999 16:28:35 GMT",
"version": "v1"
}
] | 2009-10-07 | [
[
"Sheikh-Jabbari",
"M. M.",
""
]
] | Studying dynamics of open strings attached to a D2-brane in a NS two form field background, we find that these open strings act as dipoles of U(1) gauge field of the brane. This provides an string theoretic description of the flux modifications needed for the DBI action on noncommutative torus. |
0801.2762 | Kai Schwenzer | Reinhard Alkofer, Markus Q. Huber and Kai Schwenzer | Infrared singularities in Landau gauge Yang-Mills theory | 29 pages, 25 figures; published version | Phys.Rev.D81:105010,2010 | 10.1103/PhysRevD.81.105010 | null | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a more detailed picture of the infrared regime of Landau gauge
Yang-Mills theory. This is done within a novel framework that allows one to
take into account the influence of finite scales within an infrared power
counting analysis. We find that there are two qualitatively different infrared
fixed points of the full system of Dyson-Schwinger equations. The first extends
the known scaling solution, where the ghost dynamics is dominant and gluon
propagation is strongly suppressed. It features in addition to the strong
divergences of gluonic vertex functions in the previously considered uniform
scaling limit, when all external momenta tend to zero, also weaker kinematic
divergences, when only some of the external momenta vanish. The second solution
represents the recently proposed decoupling scenario where the gluons become
massive and the ghosts remain bare. In this case we find that none of the
vertex functions is enhanced, so that the infrared dynamics is entirely
suppressed. Our analysis also provides a strict argument why the Landau gauge
gluon dressing function cannot be infrared divergent.
| [
{
"created": "Thu, 17 Jan 2008 20:49:22 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Oct 2008 17:27:29 GMT",
"version": "v2"
},
{
"created": "Fri, 29 Jan 2010 22:46:03 GMT",
"version": "v3"
},
{
"created": "Tue, 11 May 2010 02:16:56 GMT",
"version": "v4"
}
] | 2010-05-19 | [
[
"Alkofer",
"Reinhard",
""
],
[
"Huber",
"Markus Q.",
""
],
[
"Schwenzer",
"Kai",
""
]
] | We present a more detailed picture of the infrared regime of Landau gauge Yang-Mills theory. This is done within a novel framework that allows one to take into account the influence of finite scales within an infrared power counting analysis. We find that there are two qualitatively different infrared fixed points of the full system of Dyson-Schwinger equations. The first extends the known scaling solution, where the ghost dynamics is dominant and gluon propagation is strongly suppressed. It features in addition to the strong divergences of gluonic vertex functions in the previously considered uniform scaling limit, when all external momenta tend to zero, also weaker kinematic divergences, when only some of the external momenta vanish. The second solution represents the recently proposed decoupling scenario where the gluons become massive and the ghosts remain bare. In this case we find that none of the vertex functions is enhanced, so that the infrared dynamics is entirely suppressed. Our analysis also provides a strict argument why the Landau gauge gluon dressing function cannot be infrared divergent. |
1001.4067 | Emil Akhmedov | E.T. Akhmedov and E.T. Musaev | An exact statement for Wilsonian and Holographic renormalization group | 7 pages, no figures, minor changes | Phys.Rev.D81:085010,2010 | 10.1103/PhysRevD.81.085010 | null | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that Polchinski equations in the D--dimensional matrix scalar field
theory can be reduced at large $N$ to the Hamiltonian equations in a
(D+1)-dimensional theory. In the subsector of the $\Tr \phi^l$ (for all $l$)
operators we find the exact form of the corresponding Hamiltonian. The relation
to the Holographic renormalization group is discussed.
| [
{
"created": "Fri, 22 Jan 2010 19:55:36 GMT",
"version": "v1"
},
{
"created": "Sun, 24 Jan 2010 07:55:04 GMT",
"version": "v2"
},
{
"created": "Wed, 3 Mar 2010 16:02:41 GMT",
"version": "v3"
}
] | 2010-04-14 | [
[
"Akhmedov",
"E. T.",
""
],
[
"Musaev",
"E. T.",
""
]
] | We show that Polchinski equations in the D--dimensional matrix scalar field theory can be reduced at large $N$ to the Hamiltonian equations in a (D+1)-dimensional theory. In the subsector of the $\Tr \phi^l$ (for all $l$) operators we find the exact form of the corresponding Hamiltonian. The relation to the Holographic renormalization group is discussed. |
2011.05375 | Jian Qiu | Jian Qiu | Rozansky-Witten theory, Localised then Tilted | 60 pages | null | null | UUITP-47/20 | hep-th math.AG math.SG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The paper has two parts, in the first part, we apply the localisation
technique to the Rozansky-Witten theory on compact HyperK\"ahler targets. We do
so via first reformulating the theory as some supersymmetric sigma-model. We
obtain the exact formula for the partition function with Wilson loops on
$S^1\times\Sigma_g$ and the lens spaces, the results match with earlier
computations using Feynman diagrams on K3. The second part is motivated by a
very curious preprint \cite{Gukov:2020lqm}, where the equivariant index formula
for the dimension of the Hilbert space the theory is interpreted as a kind of
Verlinde formula. In this interpretation, the fixed points of the target
HyperK\"ahler geometry correspond to certain 'states'. In the second half of
the paper we extend the formalism of part one to incorporate equivariance on
the target geometry. For certain non-compact hyperK\"ahler geometry, we can
apply the tilting theory to the derived category of coherent sheaves, whose
objects label the Wilson loops, allowing us to pick a 'basis' for the latter.
We can then compute the fusion products in this basis and we show that the
objects that have diagonal fusion rules are intimately related to the fixed
points of the geometry. Using these objects as basis to compute the dimension
of the Hilbert space leads back to the Verlinde formula, thus answering the
question that motivated the paper.
| [
{
"created": "Tue, 10 Nov 2020 20:12:38 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Dec 2020 16:56:41 GMT",
"version": "v2"
}
] | 2020-12-29 | [
[
"Qiu",
"Jian",
""
]
] | The paper has two parts, in the first part, we apply the localisation technique to the Rozansky-Witten theory on compact HyperK\"ahler targets. We do so via first reformulating the theory as some supersymmetric sigma-model. We obtain the exact formula for the partition function with Wilson loops on $S^1\times\Sigma_g$ and the lens spaces, the results match with earlier computations using Feynman diagrams on K3. The second part is motivated by a very curious preprint \cite{Gukov:2020lqm}, where the equivariant index formula for the dimension of the Hilbert space the theory is interpreted as a kind of Verlinde formula. In this interpretation, the fixed points of the target HyperK\"ahler geometry correspond to certain 'states'. In the second half of the paper we extend the formalism of part one to incorporate equivariance on the target geometry. For certain non-compact hyperK\"ahler geometry, we can apply the tilting theory to the derived category of coherent sheaves, whose objects label the Wilson loops, allowing us to pick a 'basis' for the latter. We can then compute the fusion products in this basis and we show that the objects that have diagonal fusion rules are intimately related to the fixed points of the geometry. Using these objects as basis to compute the dimension of the Hilbert space leads back to the Verlinde formula, thus answering the question that motivated the paper. |
hep-th/0312168 | Sergei Lukyanov L. | S.L. Lukyanov, E.S. Vitchev and A.B. Zamolodchikov | Integrable Model of Boundary Interaction: The Paperclip | 41 pages, 2 figures | Nucl.Phys. B683 (2004) 423-454 | 10.1016/j.nuclphysb.2004.02.010 | RU-NHETC-2003-35, BONN-TH-2003-05 | hep-th cond-mat.stat-mech math-ph math.MP | null | We consider a model of 2D quantum field theory on a disk, whose bulk dynamics
is that of a two-component free massless Bose field (X,Y), and interaction
occurs at the boundary, where the boundary values (X_B, Y_B) are constrained to
special curve - the ``paperclip brane''. The interaction breaks conformal
invariance, but we argue that it preserves integrability. We propose exact
expression for the disk partition function (and more general overlap amplitudes
< P | B > of the boundary state with all primary states) in terms of solutions
of certain ordinary linear differential equations.
| [
{
"created": "Mon, 15 Dec 2003 19:19:05 GMT",
"version": "v1"
}
] | 2010-04-05 | [
[
"Lukyanov",
"S. L.",
""
],
[
"Vitchev",
"E. S.",
""
],
[
"Zamolodchikov",
"A. B.",
""
]
] | We consider a model of 2D quantum field theory on a disk, whose bulk dynamics is that of a two-component free massless Bose field (X,Y), and interaction occurs at the boundary, where the boundary values (X_B, Y_B) are constrained to special curve - the ``paperclip brane''. The interaction breaks conformal invariance, but we argue that it preserves integrability. We propose exact expression for the disk partition function (and more general overlap amplitudes < P | B > of the boundary state with all primary states) in terms of solutions of certain ordinary linear differential equations. |
hep-th/0611189 | Mitsuhiro Kato | Masako Asano and Mitsuhiro Kato | New Covariant Gauges in String Field Theory | 24 pages | Prog.Theor.Phys.117:569-587,2007 | 10.1143/PTP.117.569 | UT-Komaba/06-12 | hep-th | null | A single-parameter family of covariant gauge fixing conditions in bosonic
string field theory is proposed. It is a natural string field counterpart of
the covariant gauge in the conventional gauge theory, which includes the Landau
gauge as well as the Feynman (Siegel) gauge as special cases. The action in the
Landau gauge is largely simplified in such a way that numerous component fields
have no derivatives in their kinetic terms and appear in at most quadratic in
the vertex.
| [
{
"created": "Fri, 17 Nov 2006 08:18:05 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Asano",
"Masako",
""
],
[
"Kato",
"Mitsuhiro",
""
]
] | A single-parameter family of covariant gauge fixing conditions in bosonic string field theory is proposed. It is a natural string field counterpart of the covariant gauge in the conventional gauge theory, which includes the Landau gauge as well as the Feynman (Siegel) gauge as special cases. The action in the Landau gauge is largely simplified in such a way that numerous component fields have no derivatives in their kinetic terms and appear in at most quadratic in the vertex. |
0804.4053 | John McGreevy | Koushik Balasubramanian and John McGreevy | Gravity duals for non-relativistic CFTs | 12 pages; v2, v3, v4: added references, minor corrections; v3:
cleaned up and generalized dust; v4: closer to published version | Phys.Rev.Lett.101:061601,2008 | 10.1103/PhysRevLett.101.061601 | null | hep-th cond-mat.other nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We attempt to generalize the AdS/CFT correspondence to non-relativistic
conformal field theories which are invariant under Galilean transformations.
Such systems govern ultracold atoms at unitarity, nucleon scattering in some
channels, and more generally, a family of universality classes of quantum
critical behavior. We construct a family of metrics which realize these
symmetries as isometries. They are solutions of gravity with negative
cosmological constant coupled to pressureless dust. We discuss realizations of
the dust, which include a bulk superconductor. We develop the holographic
dictionary and compute some two-point correlators. A strange aspect of the
correspondence is that the bulk geometry has two extra noncompact dimensions.
| [
{
"created": "Fri, 25 Apr 2008 19:49:47 GMT",
"version": "v1"
},
{
"created": "Sun, 27 Apr 2008 23:36:11 GMT",
"version": "v2"
},
{
"created": "Tue, 6 May 2008 19:49:52 GMT",
"version": "v3"
},
{
"created": "Fri, 1 Aug 2008 22:43:49 GMT",
"version": "v4"
}
] | 2008-11-26 | [
[
"Balasubramanian",
"Koushik",
""
],
[
"McGreevy",
"John",
""
]
] | We attempt to generalize the AdS/CFT correspondence to non-relativistic conformal field theories which are invariant under Galilean transformations. Such systems govern ultracold atoms at unitarity, nucleon scattering in some channels, and more generally, a family of universality classes of quantum critical behavior. We construct a family of metrics which realize these symmetries as isometries. They are solutions of gravity with negative cosmological constant coupled to pressureless dust. We discuss realizations of the dust, which include a bulk superconductor. We develop the holographic dictionary and compute some two-point correlators. A strange aspect of the correspondence is that the bulk geometry has two extra noncompact dimensions. |
hep-th/0111086 | null | Christian Romelsberger | (Fractional) Intersection Numbers, Tadpoles and Anomalies | 19 pages, Latex, 1 figure | JHEP 0607:012,2006 | 10.1088/1126-6708/2006/07/012 | CITUSC/01-044 | hep-th | null | We use the Witten index in the open string sector to determine tadpole
charges of orientifold planes and D-branes. As specific examples we consider
type I compactifications on Calabi Yau manifolds and noncompact orbifolds. The
tadpole constraints suggest that the standard embedding is not a natural choice
for the gauge bundle. Rather there should be a close connection of the gauge
bundle and the spin bundle. In the case of a four fold, the standard embedding
does not in general fulfill the tadpole conditions. We show that this agrees
with the Green-Schwarz mechanism. In the case of noncompact orbifolds we are
able to solve the tadpole constraints with a gauge bundle, which is related to
the spin bundle. We compare these results to anomaly cancellation on the fixed
plane of the orbifold. In the case of branes wrapping noncompact cycles, there
are fractional intersection numbers and anomaly coefficients, which we explain
in geometric terms.
| [
{
"created": "Mon, 12 Nov 2001 20:37:21 GMT",
"version": "v1"
}
] | 2010-11-19 | [
[
"Romelsberger",
"Christian",
""
]
] | We use the Witten index in the open string sector to determine tadpole charges of orientifold planes and D-branes. As specific examples we consider type I compactifications on Calabi Yau manifolds and noncompact orbifolds. The tadpole constraints suggest that the standard embedding is not a natural choice for the gauge bundle. Rather there should be a close connection of the gauge bundle and the spin bundle. In the case of a four fold, the standard embedding does not in general fulfill the tadpole conditions. We show that this agrees with the Green-Schwarz mechanism. In the case of noncompact orbifolds we are able to solve the tadpole constraints with a gauge bundle, which is related to the spin bundle. We compare these results to anomaly cancellation on the fixed plane of the orbifold. In the case of branes wrapping noncompact cycles, there are fractional intersection numbers and anomaly coefficients, which we explain in geometric terms. |
hep-th/0702050 | C\`esar Miquel-Espanya | Sergey Fedoruk, Andrzej Frydryszak, Jerzy Lukierski and C\`esar
Miquel-Espanya | Massive Particle Model with Spin from a Hybrid (spacetime-twistorial)
Phase Space Geometry and Its Quantization | 12 pages, prepared for the Proceedings of the 22nd Max Born
Symposium, 27-29 September 2006, Wroc{\l}aw, Poland | null | null | FTUV-07-0207, IFIC-07-07 | hep-th | null | We extend the Shirafuji model for massless particles with primary spacetime
coordinates and composite four-momenta to a model for massive particles with
spin and electric charge. The primary variables in the model are the spacetime
four-vector, four scalars describing spin and charge degrees of freedom as well
as a pair of Weyl spinors. The geometric description proposed in this paper
provides an intermediate step between the free purely twistorial model in
two-twistor space in which both spacetime and four-momenta vectors are
composite, and the standard particle model, where both spacetime and
four-momenta vectors are elementary. We quantize the model and find explicitly
the first-quantized wavefunctions describing relativistic particles with mass,
spin and electric charge. The spacetime coordinates in the model are not
commutative; this leads to a wavefunction that depends only on one covariant
projection of the spacetime four-vector defining plane wave solutions.
| [
{
"created": "Wed, 7 Feb 2007 14:46:29 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Fedoruk",
"Sergey",
""
],
[
"Frydryszak",
"Andrzej",
""
],
[
"Lukierski",
"Jerzy",
""
],
[
"Miquel-Espanya",
"Cèsar",
""
]
] | We extend the Shirafuji model for massless particles with primary spacetime coordinates and composite four-momenta to a model for massive particles with spin and electric charge. The primary variables in the model are the spacetime four-vector, four scalars describing spin and charge degrees of freedom as well as a pair of Weyl spinors. The geometric description proposed in this paper provides an intermediate step between the free purely twistorial model in two-twistor space in which both spacetime and four-momenta vectors are composite, and the standard particle model, where both spacetime and four-momenta vectors are elementary. We quantize the model and find explicitly the first-quantized wavefunctions describing relativistic particles with mass, spin and electric charge. The spacetime coordinates in the model are not commutative; this leads to a wavefunction that depends only on one covariant projection of the spacetime four-vector defining plane wave solutions. |
hep-th/0404079 | Jan Gutowski | Jan B. Gutowski | Uniqueness of Five-Dimensional Supersymmetric Black Holes | 15 pages, uses JHEP3.cls. Revised to match published version;
reference added, minor alterations to section 3 | JHEP 0408:049,2004 | 10.1088/1126-6708/2004/08/049 | null | hep-th | null | A classification of supersymmetric solutions of five dimensional ungauged
supergravity coupled to arbitrary many abelian vector multiplets is used to
prove a uniqueness theorem for asymptotically flat supersymmetric black holes
with regular horizons. It is shown that the near-horizon geometries of
solutions for which the scalars and gauge field strengths are sufficiently
regular on the horizon are flat space, AdS_3 x S^2, or the near-horizon BMPV
solution. Furthermore, the only black hole which has the near-horizon BMPV
geometry for its near-horizon geometry is the solution found by Chamseddine and
Sabra.
| [
{
"created": "Mon, 12 Apr 2004 13:19:11 GMT",
"version": "v1"
},
{
"created": "Sun, 23 May 2004 12:30:27 GMT",
"version": "v2"
},
{
"created": "Sun, 17 Oct 2004 22:16:53 GMT",
"version": "v3"
}
] | 2010-02-03 | [
[
"Gutowski",
"Jan B.",
""
]
] | A classification of supersymmetric solutions of five dimensional ungauged supergravity coupled to arbitrary many abelian vector multiplets is used to prove a uniqueness theorem for asymptotically flat supersymmetric black holes with regular horizons. It is shown that the near-horizon geometries of solutions for which the scalars and gauge field strengths are sufficiently regular on the horizon are flat space, AdS_3 x S^2, or the near-horizon BMPV solution. Furthermore, the only black hole which has the near-horizon BMPV geometry for its near-horizon geometry is the solution found by Chamseddine and Sabra. |
hep-th/9212085 | M. B. Green | Michael B. Green | The Influence of World-Sheet Boundaries on Critical Closed String Theory | 15 pages, QMW-92-18;NI92010 | Phys.Lett. B302 (1993) 29-37 | 10.1016/0370-2693(93)90631-Q | null | hep-th | null | This paper considers interactions between closed strings and open strings
satisfying either Neumann or constant (point-like) Dirichlet boundary
conditions in a BRST formalism in the critical dimension. With Neumann
conditions this reproduces the well-known stringy version of the Higgs
mechanism. With Dirichlet conditions the open-string states correspond to
either auxiliary or Lagrange multiplier target-space fields and their coupling
to the closed-string sector leads to constraints on the closed-string spectrum.
| [
{
"created": "Mon, 14 Dec 1992 13:10:00 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Green",
"Michael B.",
""
]
] | This paper considers interactions between closed strings and open strings satisfying either Neumann or constant (point-like) Dirichlet boundary conditions in a BRST formalism in the critical dimension. With Neumann conditions this reproduces the well-known stringy version of the Higgs mechanism. With Dirichlet conditions the open-string states correspond to either auxiliary or Lagrange multiplier target-space fields and their coupling to the closed-string sector leads to constraints on the closed-string spectrum. |
1311.7143 | Daichi Muranaka | Masashi Hamanaka, Hiroaki Kanno and Daichi Muranaka | Hyperkahler Metrics from Monopole Walls | 7 pages, 2 figures, LaTeX; v2: a reference added, minor changes,
version to appear in Phys. Rev. D | Phys. Rev. D 89, 065033 (2014) | 10.1103/PhysRevD.89.065033 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present ALH hyperkahler metrics induced from well-separated SU(2) monopole
walls which are equivalent to monopoles on T^2 x R. The metrics are explicitly
obtained due to Manton's observation by using explicit monopole solutions.
These are doubly-periodic and have the modular invariance with respect to the
complex structure of the complex torus T^2. We also derive metrics from
monopole walls with Dirac-type singularities.
| [
{
"created": "Wed, 27 Nov 2013 21:00:02 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Mar 2014 13:19:05 GMT",
"version": "v2"
}
] | 2014-04-02 | [
[
"Hamanaka",
"Masashi",
""
],
[
"Kanno",
"Hiroaki",
""
],
[
"Muranaka",
"Daichi",
""
]
] | We present ALH hyperkahler metrics induced from well-separated SU(2) monopole walls which are equivalent to monopoles on T^2 x R. The metrics are explicitly obtained due to Manton's observation by using explicit monopole solutions. These are doubly-periodic and have the modular invariance with respect to the complex structure of the complex torus T^2. We also derive metrics from monopole walls with Dirac-type singularities. |
hep-th/9806138 | Michael Schmidt | Michael Haack (Halle U.), Michael G. Schmidt (Heidelberg U.) | Axion Decay in a Constant Electromagnetic Background Field and at Finite
Temperature using World-line Methods | 27 pages, 4 figures, corrected and added some references and added
some remarks to appendix D | Eur.Phys.J.C7:149-158,1999 | 10.1007/s100529800982 | HD-THEP-98-25 | hep-th | null | We investigate the radiative decay of the axion into two photons in an
external electromagnetic field to one loop order. Our approach is based on the
world-line formalism, which is very suitable to take into account the external
field to all orders. Afterwards we discuss how the calculation could be
generalized to finite temperature.
| [
{
"created": "Wed, 17 Jun 1998 13:18:35 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Nov 1998 13:12:43 GMT",
"version": "v2"
}
] | 2011-09-13 | [
[
"Haack",
"Michael",
"",
"Halle U."
],
[
"Schmidt",
"Michael G.",
"",
"Heidelberg U."
]
] | We investigate the radiative decay of the axion into two photons in an external electromagnetic field to one loop order. Our approach is based on the world-line formalism, which is very suitable to take into account the external field to all orders. Afterwards we discuss how the calculation could be generalized to finite temperature. |
2308.08052 | Samson Ying Lok Chan | Mohamed M. Anber, Samson Y.L. Chan | 2-index chiral gauge theories | 40 pages + appendices; typos fixed, matched published version | null | null | null | hep-th hep-lat hep-ph | http://creativecommons.org/licenses/by/4.0/ | We undertake a systematic study of the $4$-dimensional $SU(N)$ $2$-index
chiral gauge theories and investigate their faithful global symmetries and
dynamics. These are a finite set of theories with fermions in the $2$-index
symmetric and anti-symmetric representations, with no fundamentals, and they do
not admit a large-$N$ limit. We employ a combination of perturbative and
nonperturbative methods, enabling us to constrain their infrared (IR) phases.
Specifically, we leverage the 't Hooft anomalies associated with continuous and
discrete groups to eliminate a few scenarios. In some cases, the anomalies rule
out the possibility of fermion composites. In other cases, the interplay
between the continuous and discrete anomalies leads to multiple higher-order
condensates, which inevitably form to match the anomalies. Further, we pinpoint
the most probable symmetry-breaking patterns by searching for condensates that
match the full set of anomalies resulting in the smallest number of IR degrees
of freedom. Higher-loop $\beta$-function analysis suggests that a few theories
may flow to a conformal fixed point.
| [
{
"created": "Tue, 15 Aug 2023 21:36:58 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Jan 2024 13:10:33 GMT",
"version": "v2"
}
] | 2024-01-10 | [
[
"Anber",
"Mohamed M.",
""
],
[
"Chan",
"Samson Y. L.",
""
]
] | We undertake a systematic study of the $4$-dimensional $SU(N)$ $2$-index chiral gauge theories and investigate their faithful global symmetries and dynamics. These are a finite set of theories with fermions in the $2$-index symmetric and anti-symmetric representations, with no fundamentals, and they do not admit a large-$N$ limit. We employ a combination of perturbative and nonperturbative methods, enabling us to constrain their infrared (IR) phases. Specifically, we leverage the 't Hooft anomalies associated with continuous and discrete groups to eliminate a few scenarios. In some cases, the anomalies rule out the possibility of fermion composites. In other cases, the interplay between the continuous and discrete anomalies leads to multiple higher-order condensates, which inevitably form to match the anomalies. Further, we pinpoint the most probable symmetry-breaking patterns by searching for condensates that match the full set of anomalies resulting in the smallest number of IR degrees of freedom. Higher-loop $\beta$-function analysis suggests that a few theories may flow to a conformal fixed point. |
hep-th/0401153 | Masafumi Fukuma | Masafumi Fukuma, Yuji Kono and Akitsugu Miwa | Noncommutative inflation and the large-scale damping in the CMB
anisotropy | 7 pages, 2 figures. Fonts changed. Talk given at QTS3 (Cincinnati,
OH, Sept. 2003) | null | 10.1142/9789812702340_0087 | KUNS-1890 | hep-th astro-ph | null | We show that a certain class of short-distance cutoff can give rise to large
suppression on the CMB anisotropies at large angular scales.
| [
{
"created": "Thu, 22 Jan 2004 15:35:40 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Jan 2004 07:29:34 GMT",
"version": "v2"
}
] | 2017-08-23 | [
[
"Fukuma",
"Masafumi",
""
],
[
"Kono",
"Yuji",
""
],
[
"Miwa",
"Akitsugu",
""
]
] | We show that a certain class of short-distance cutoff can give rise to large suppression on the CMB anisotropies at large angular scales. |
hep-th/9512085 | Yao-zhong Zhang | Takeo Inami, Hitoshi Konno and Yao-Zhong Zhang | Integrable Four-Fermi Models with a Boundary and Boson-Fermion Duality | Latex 10 pages, some comments and 5 references added. To appear in
Phys. Lett. B | Phys.Lett.B376:90-96,1996 | 10.1016/0370-2693(96)00295-X | Kyoto University YITP-95-16 | hep-th cond-mat | null | Construction of integrable field theories in space with a boundary is
extended to fermionic models. We obtain general forms of boundary interactions
consistent with integrability of the massive Thirring model and study the
duality equivalence of the MT model and the sine-Gordon model with boundary
terms. We find a variety of integrable boundary interactions in the $O(3)$
Gross-Neveu model from the boundary supersymmetric sine-Gordon theory by using
boson-fermion duality.
| [
{
"created": "Tue, 12 Dec 1995 12:41:14 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Jan 1996 04:37:19 GMT",
"version": "v2"
},
{
"created": "Thu, 15 Feb 1996 01:13:15 GMT",
"version": "v3"
}
] | 2014-11-18 | [
[
"Inami",
"Takeo",
""
],
[
"Konno",
"Hitoshi",
""
],
[
"Zhang",
"Yao-Zhong",
""
]
] | Construction of integrable field theories in space with a boundary is extended to fermionic models. We obtain general forms of boundary interactions consistent with integrability of the massive Thirring model and study the duality equivalence of the MT model and the sine-Gordon model with boundary terms. We find a variety of integrable boundary interactions in the $O(3)$ Gross-Neveu model from the boundary supersymmetric sine-Gordon theory by using boson-fermion duality. |
1810.12236 | Andrew Svesko | Andrew Svesko | Equilibrium to Einstein: Entanglement, Thermodynamics, and Gravity | 23 pages, 2 figures | Phys. Rev. D 99, 086006 (2019) | 10.1103/PhysRevD.99.086006 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Here we develop the connection between thermodynamics, entanglement, and
gravity. By attributing thermodynamics to timeslices of a causal diamond, we
show that the Clausius relation $T\Delta S_{\text{rev}}=Q$, where $\Delta
S_{\text{rev}}$ is the reversible entropy change, gives rise to the non-linear
gravitational equations of motion for a wide class of diffeomorphism invariant
theories. We then compare the Clausius relation to the first law of causal
diamond mechanics (FLCD), a geometric identity and necessary ingredient in
deriving Jacobson's entanglement equilibrium proposal -- the entanglement
entropy of a spherical region with a fixed volume is maximal in vacuum.
Specifically we show that the condition of fixed volume can be understood as
subtracting the irreversible contribution to the thermodynamic entropy. This
provides a "reversible thermodynamic process" interpretation of the FLCD, and
that the condition of entanglement equilibrium may be regarded as equilibrium
thermodynamics for which the Clausius relation holds. Finally, we extend the
entanglement equilibrium proposal to the timelike stretched horizons of future
lightcones, providing an entanglement interpretation of stretched lightcone
thermodynamics.
| [
{
"created": "Mon, 29 Oct 2018 16:24:53 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Jan 2019 03:57:04 GMT",
"version": "v2"
}
] | 2019-04-17 | [
[
"Svesko",
"Andrew",
""
]
] | Here we develop the connection between thermodynamics, entanglement, and gravity. By attributing thermodynamics to timeslices of a causal diamond, we show that the Clausius relation $T\Delta S_{\text{rev}}=Q$, where $\Delta S_{\text{rev}}$ is the reversible entropy change, gives rise to the non-linear gravitational equations of motion for a wide class of diffeomorphism invariant theories. We then compare the Clausius relation to the first law of causal diamond mechanics (FLCD), a geometric identity and necessary ingredient in deriving Jacobson's entanglement equilibrium proposal -- the entanglement entropy of a spherical region with a fixed volume is maximal in vacuum. Specifically we show that the condition of fixed volume can be understood as subtracting the irreversible contribution to the thermodynamic entropy. This provides a "reversible thermodynamic process" interpretation of the FLCD, and that the condition of entanglement equilibrium may be regarded as equilibrium thermodynamics for which the Clausius relation holds. Finally, we extend the entanglement equilibrium proposal to the timelike stretched horizons of future lightcones, providing an entanglement interpretation of stretched lightcone thermodynamics. |
hep-th/9509016 | V. Brindejonc | V.Brindejonc and G.Cohen-Tannoudji | An Effective Strong Gravity induced by QCD | 9 pages, latex, no figures; to appear in Mod.Phys.Lett.A | Mod.Phys.Lett. A10 (1995) 1711-1718 | 10.1142/S0217732395001836 | DAPNIA/SPhN-95-17 | hep-th | null | We show that, when quantized on a curved ``intra-hadronic background'', QCD
induces an effective pseudo gravitational interaction with gravitational and
cosmological constants in the GeV range.
| [
{
"created": "Tue, 5 Sep 1995 10:23:58 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Brindejonc",
"V.",
""
],
[
"Cohen-Tannoudji",
"G.",
""
]
] | We show that, when quantized on a curved ``intra-hadronic background'', QCD induces an effective pseudo gravitational interaction with gravitational and cosmological constants in the GeV range. |
hep-th/0401226 | Osvaldo Chandia | Osvaldo Chandia, Brenno Carlini Vallilo | Conformal Invariance of the Pure Spinor Superstring in a Curved
Background | Reference added | JHEP0404:041,2004 | 10.1088/1126-6708/2004/04/041 | DFPD 04/TH/04, IFT-P.004/2004 | hep-th | null | It is shown that the pure spinor formulation of the heterotic superstring in
a generic gravitational and super Yang-Mills background has vanishing one-loop
beta functions.
| [
{
"created": "Wed, 28 Jan 2004 19:00:29 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Jan 2004 08:14:43 GMT",
"version": "v2"
},
{
"created": "Fri, 30 Jan 2004 09:20:16 GMT",
"version": "v3"
},
{
"created": "Fri, 13 Feb 2004 08:12:24 GMT",
"version": "v4"
},
{
"created": "Mon, 19 Apr 2004 12:30:49 GMT",
"version": "v5"
}
] | 2009-11-10 | [
[
"Chandia",
"Osvaldo",
""
],
[
"Vallilo",
"Brenno Carlini",
""
]
] | It is shown that the pure spinor formulation of the heterotic superstring in a generic gravitational and super Yang-Mills background has vanishing one-loop beta functions. |
2004.05649 | Mehdi Lotfizadeh | Mehdi Lotfizadeh | Fuzzy AdS-conifold $ Y_{AdS_{F}}^{6} $ and Dirac operator of principal
fibration $ X_{AdS_{F}}^{5}\rightarrow AdS_{F}^{2}\times AdS_{F}^{2} $ | arXiv admin note: text overlap with arXiv:2003.05737 | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It has been constructed fuzzy AdS- conifold $ Y_{AdS_{F}}^{6} $ on the base $
AdS_{F}^{3}\times AdS_{F}^{2} $ which is topologically homeomorphic with the
total space of the fibration $ X_{AdS_{F}}^{5}\rightarrow AdS_{F}^{2}\times
AdS_{F}^{2} $. After the projective module description of this bundle, the
pseudo fuzzy Dirac and chirality operators on fuzzy $ AdS^{2}_{F}\times
AdS_{F}^{2} $ have been studied. Using the fuzzy Ginsparg-Wilson algebra, it
has been studied the gauged fuzzy Dirac and chirality operators in instanton
sector. It has been showed that they have correct commutative limit in the
limit case when noncommutative parameter $ l_{\alpha} $ tends to infinity.
| [
{
"created": "Thu, 9 Apr 2020 08:41:20 GMT",
"version": "v1"
}
] | 2020-04-14 | [
[
"Lotfizadeh",
"Mehdi",
""
]
] | It has been constructed fuzzy AdS- conifold $ Y_{AdS_{F}}^{6} $ on the base $ AdS_{F}^{3}\times AdS_{F}^{2} $ which is topologically homeomorphic with the total space of the fibration $ X_{AdS_{F}}^{5}\rightarrow AdS_{F}^{2}\times AdS_{F}^{2} $. After the projective module description of this bundle, the pseudo fuzzy Dirac and chirality operators on fuzzy $ AdS^{2}_{F}\times AdS_{F}^{2} $ have been studied. Using the fuzzy Ginsparg-Wilson algebra, it has been studied the gauged fuzzy Dirac and chirality operators in instanton sector. It has been showed that they have correct commutative limit in the limit case when noncommutative parameter $ l_{\alpha} $ tends to infinity. |
1612.05835 | Francisco Navarro-Lerida | Francisco Navarro-Lerida, Eugen Radu, and D. H. Tchrakian | The effect of Chern-Simons dynamics on the energy of electrically
charged and spinning vortices | 29 pages, 9 figures | Phys. Rev. D 95, 085016 (2017) | 10.1103/PhysRevD.95.085016 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the effect of a Chern-Simons term on the electrically charged and
spinning solitons of several $U(1)$ gauged models in $2+1$ dimensions. These
are vortices of complex scalar field theories, both with and without symmetry
breaking dynamics, and the $O(3)$ Skyrme model. In all cases the gauge
decoupling limits are also considered. It is well known that the effect of the
Chern-Simons dynamics is to endow vortices with electric charge $Q_e$ and spin
$J$, but our main aim here is to reveal a new feature: that the mass-energy $E$
of the electrically charged vortex can be lower than that of the electrically
neutral one, in contrast to the usual monotonic increase of $E$ with $Q_e$.
These effects of Chern-Simons dynamics were observed previously in $3+1$
dimensional systems, and the present results can be viewed as corroborating the
latter. Moreover, the usual energy-spin relationship is likewise altered. We
carry out a detailed quantitative analysis of azimuthally symmetric vortices
and describe their qualitative features by constructing the solutions
numerically.
| [
{
"created": "Sat, 17 Dec 2016 23:27:24 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Dec 2016 22:55:20 GMT",
"version": "v2"
}
] | 2017-04-26 | [
[
"Navarro-Lerida",
"Francisco",
""
],
[
"Radu",
"Eugen",
""
],
[
"Tchrakian",
"D. H.",
""
]
] | We study the effect of a Chern-Simons term on the electrically charged and spinning solitons of several $U(1)$ gauged models in $2+1$ dimensions. These are vortices of complex scalar field theories, both with and without symmetry breaking dynamics, and the $O(3)$ Skyrme model. In all cases the gauge decoupling limits are also considered. It is well known that the effect of the Chern-Simons dynamics is to endow vortices with electric charge $Q_e$ and spin $J$, but our main aim here is to reveal a new feature: that the mass-energy $E$ of the electrically charged vortex can be lower than that of the electrically neutral one, in contrast to the usual monotonic increase of $E$ with $Q_e$. These effects of Chern-Simons dynamics were observed previously in $3+1$ dimensional systems, and the present results can be viewed as corroborating the latter. Moreover, the usual energy-spin relationship is likewise altered. We carry out a detailed quantitative analysis of azimuthally symmetric vortices and describe their qualitative features by constructing the solutions numerically. |
1502.06497 | Ulysses Camara da Silva | U. Camara dS, A.A. Lima, G.M. Sotkov | Scale Factor Self-Dual Cosmological Models | v3, improved and extended version to be published in JHEP; new
results added to sect.2; 4 figures; 17pgs | null | 10.1007/JHEP07(2015)017 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We implement a conformal time scale factor duality for
Friedmann-Robertson-Walker cosmological models, which is consistent with the
weak energy condition. The requirement for self-duality determines the
equations of state for a broad class of barotropic fluids. We study the example
of a universe filled with two interacting fluids, presenting an accelerated and
a decelerated period, with manifest UV/IR duality. The associated self-dual
scalar field interaction turns out to coincide with the "radiation-like"
modified Chaplygin gas models. We present an equivalent realization of them as
gauged K\"ahler sigma models (minimally coupled to gravity) with very specific
and interrelated K\"ahler- and super-potentials. Their applications in the
description of hilltop inflation and also as quintessence models for the late
universe are discussed.
| [
{
"created": "Mon, 23 Feb 2015 16:52:13 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Feb 2015 16:39:05 GMT",
"version": "v2"
},
{
"created": "Tue, 2 Jun 2015 00:52:42 GMT",
"version": "v3"
}
] | 2017-03-15 | [
[
"dS",
"U. Camara",
""
],
[
"Lima",
"A. A.",
""
],
[
"Sotkov",
"G. M.",
""
]
] | We implement a conformal time scale factor duality for Friedmann-Robertson-Walker cosmological models, which is consistent with the weak energy condition. The requirement for self-duality determines the equations of state for a broad class of barotropic fluids. We study the example of a universe filled with two interacting fluids, presenting an accelerated and a decelerated period, with manifest UV/IR duality. The associated self-dual scalar field interaction turns out to coincide with the "radiation-like" modified Chaplygin gas models. We present an equivalent realization of them as gauged K\"ahler sigma models (minimally coupled to gravity) with very specific and interrelated K\"ahler- and super-potentials. Their applications in the description of hilltop inflation and also as quintessence models for the late universe are discussed. |
0806.2873 | Marek Krasnansky | Marek Krasnansky | QCD in the Spatial Axial Gauge | 16 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Canonical quantization of a gauge theory in the spatial axial gauge produces
an anisotropic Hamiltonian and matter particles surrounded by physically
unrealistic asymmetric electric or chromoelectric fields. We show how to
restore rotational symmetry for a nonabelian theory with a gauge fixing
condition $A^a_3=0$. We also discuss similarities between recovering isotropy
in the spatial axial gauge and finding gauge invariant quantities in the Weyl
gauge in both abelian and nonabelian field theories.
| [
{
"created": "Tue, 17 Jun 2008 21:31:13 GMT",
"version": "v1"
}
] | 2008-06-19 | [
[
"Krasnansky",
"Marek",
""
]
] | Canonical quantization of a gauge theory in the spatial axial gauge produces an anisotropic Hamiltonian and matter particles surrounded by physically unrealistic asymmetric electric or chromoelectric fields. We show how to restore rotational symmetry for a nonabelian theory with a gauge fixing condition $A^a_3=0$. We also discuss similarities between recovering isotropy in the spatial axial gauge and finding gauge invariant quantities in the Weyl gauge in both abelian and nonabelian field theories. |
0907.4678 | Ruslan Metsaev | R.R. Metsaev | Gauge invariant two-point vertices of shadow fields, AdS/CFT, and
conformal fields | v3: 31 pages, RevTeX4. Appendix D improved. Typos corrected | Phys.Rev.D81:106002,2010 | 10.1103/PhysRevD.81.106002 | FIAN-TD-2009-12 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the framework of gauge invariant Stueckelberg approach, totally symmetric
arbitrary spin shadow fields in flat space-time of dimension greater than or
equal to four are studied. Gauge invariant two-point vertices for such shadow
fields are obtained. We demonstrate that, in Stueckelberg gauge frame, these
gauge invariant vertices become the standard two-point vertices of CFT.
Light-cone gauge two-point vertices of the shadow fields are also obtained.
AdS/CFT correspondence for the shadow fields and the non-normalizable solutions
of free massless totally symmetric arbitrary spin AdS fields is studied. AdS
fields are considered in a modified de Donder gauge and this simplifies
considerably the study of AdS/CFT correspondence. We demonstrate that the bulk
action, when it is evaluated on solution of the Dirichlet problem, leads to the
two-point gauge invariant vertex of shadow field. Also we shown that the bulk
action evaluated on solution of the Dirichlet problem leads to new description
of conformal fields. The new description involves Stueckelberg gauge symmetries
and gives simple higher-derivative Lagrangian for the conformal arbitrary spin
field. In the Stueckelberg gauge frame, our Lagrangian becomes the standard
Lagrangian of conformal field. Light-cone gauge Lagrangian of the arbitrary
spin conformal field is also obtained.
| [
{
"created": "Mon, 27 Jul 2009 16:43:48 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Aug 2009 18:03:52 GMT",
"version": "v2"
},
{
"created": "Wed, 23 Jun 2010 17:34:48 GMT",
"version": "v3"
}
] | 2010-06-24 | [
[
"Metsaev",
"R. R.",
""
]
] | In the framework of gauge invariant Stueckelberg approach, totally symmetric arbitrary spin shadow fields in flat space-time of dimension greater than or equal to four are studied. Gauge invariant two-point vertices for such shadow fields are obtained. We demonstrate that, in Stueckelberg gauge frame, these gauge invariant vertices become the standard two-point vertices of CFT. Light-cone gauge two-point vertices of the shadow fields are also obtained. AdS/CFT correspondence for the shadow fields and the non-normalizable solutions of free massless totally symmetric arbitrary spin AdS fields is studied. AdS fields are considered in a modified de Donder gauge and this simplifies considerably the study of AdS/CFT correspondence. We demonstrate that the bulk action, when it is evaluated on solution of the Dirichlet problem, leads to the two-point gauge invariant vertex of shadow field. Also we shown that the bulk action evaluated on solution of the Dirichlet problem leads to new description of conformal fields. The new description involves Stueckelberg gauge symmetries and gives simple higher-derivative Lagrangian for the conformal arbitrary spin field. In the Stueckelberg gauge frame, our Lagrangian becomes the standard Lagrangian of conformal field. Light-cone gauge Lagrangian of the arbitrary spin conformal field is also obtained. |
1306.2013 | Cui Sheng-liang | Sheng-liang Cui and Zhao Xue | Critical magnetic field in holographic superconductor in Gauss-Bonnet
gravity with Born-Infeld electrodynamics | 13 pages, 5 figures | null | 10.1103/PhysRevD.88.107501 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the paper using matching method in the probe limit, we investigate some
properties of holographic superconductor in Gauss-Bonnet gravity with
Born-Infeld electrodynamics . We discuss the effects of the Gauss-Bonnet
coupling $\a$ and Born-Infeld parameter $b$ on the critical temperature and
condensate. We find that both of $\a$ and $b$ make the critical temperature
decrease, which implies the condensate harder to form.
Moreover we study the magnetic effect on holographic superconductor and
obtain that the ratio between the critical magnetic field and the square of the
critical temperature increases from zero as the temperature is lowered below
the critical value $T_c$, which agrees well with the former results. We also
find the critical magnetic field is indeed affected by Gauss-Bonnet coupling,
but not by Born-Infeld parameter.
| [
{
"created": "Sun, 9 Jun 2013 12:43:01 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Jun 2013 09:39:32 GMT",
"version": "v2"
},
{
"created": "Mon, 22 Jul 2013 16:26:11 GMT",
"version": "v3"
}
] | 2015-06-16 | [
[
"Cui",
"Sheng-liang",
""
],
[
"Xue",
"Zhao",
""
]
] | In the paper using matching method in the probe limit, we investigate some properties of holographic superconductor in Gauss-Bonnet gravity with Born-Infeld electrodynamics . We discuss the effects of the Gauss-Bonnet coupling $\a$ and Born-Infeld parameter $b$ on the critical temperature and condensate. We find that both of $\a$ and $b$ make the critical temperature decrease, which implies the condensate harder to form. Moreover we study the magnetic effect on holographic superconductor and obtain that the ratio between the critical magnetic field and the square of the critical temperature increases from zero as the temperature is lowered below the critical value $T_c$, which agrees well with the former results. We also find the critical magnetic field is indeed affected by Gauss-Bonnet coupling, but not by Born-Infeld parameter. |
0803.3857 | Ashoke Sen | Ashoke Sen | Wall Crossing Formula for N=4 Dyons: A Macroscopic Derivation | LaTeX file, 12 pages; v2: minor changes | JHEP 0807:078,2008 | 10.1088/1126-6708/2008/07/078 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive the wall crossing formula for the decay of a quarter BPS dyon into
a pair of half-BPS dyons by analyzing the quantum dynamics of multi-centered
black holes in N=4 supersymmetric string theories. Our analysis encompasses the
cases where the final decay products are non-primitive dyons. The results are
in agreement with the microscopic formula for the dyon spectrum in the special
case of heterotic string theory on T^6.
| [
{
"created": "Thu, 27 Mar 2008 04:51:40 GMT",
"version": "v1"
},
{
"created": "Thu, 1 May 2008 13:39:28 GMT",
"version": "v2"
}
] | 2009-09-15 | [
[
"Sen",
"Ashoke",
""
]
] | We derive the wall crossing formula for the decay of a quarter BPS dyon into a pair of half-BPS dyons by analyzing the quantum dynamics of multi-centered black holes in N=4 supersymmetric string theories. Our analysis encompasses the cases where the final decay products are non-primitive dyons. The results are in agreement with the microscopic formula for the dyon spectrum in the special case of heterotic string theory on T^6. |
hep-th/0510175 | Silvia Penati sp | Marcus T. Grisaru, Silvia Penati, Alberto Romagnoni | Non(anti)commutative SYM theory: Renormalization in superspace | Latex file, 59 pages, 10 figures, One reference added | JHEP0602:043,2006 | 10.1088/1126-6708/2006/02/043 | Bicocca-FT-05-24 | hep-th | null | We present a systematic investigation of one-loop renormalizability for
nonanticommutative N=1/2, U(N) SYM theory in superspace. We first discuss
classical gauge invariance of the pure gauge theory and show that in
contradistinction to the ordinary anticommutative case, different
representations of supercovariant derivatives and field strengths do not lead
to equivalent descriptions of the theory. Subsequently we develop background
field methods which allow us to compute a manifestly covariant gauge effective
action. One-loop evaluation of divergent contributions reveals that the theory
simply obtained from the ordinary one by trading products for star products is
not renormalizable. In the case of SYM with no matter we present a N=1/2
improved action which we show to be one-loop renormalizable and which is
perfectly compatible with the algebraic structure of the star product. For this
action we compute the beta functions. A brief discussion on the inclusion of
chiral matter is also presented.
| [
{
"created": "Thu, 20 Oct 2005 14:09:43 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Feb 2006 11:42:42 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Grisaru",
"Marcus T.",
""
],
[
"Penati",
"Silvia",
""
],
[
"Romagnoni",
"Alberto",
""
]
] | We present a systematic investigation of one-loop renormalizability for nonanticommutative N=1/2, U(N) SYM theory in superspace. We first discuss classical gauge invariance of the pure gauge theory and show that in contradistinction to the ordinary anticommutative case, different representations of supercovariant derivatives and field strengths do not lead to equivalent descriptions of the theory. Subsequently we develop background field methods which allow us to compute a manifestly covariant gauge effective action. One-loop evaluation of divergent contributions reveals that the theory simply obtained from the ordinary one by trading products for star products is not renormalizable. In the case of SYM with no matter we present a N=1/2 improved action which we show to be one-loop renormalizable and which is perfectly compatible with the algebraic structure of the star product. For this action we compute the beta functions. A brief discussion on the inclusion of chiral matter is also presented. |
0902.1945 | Seyed Hamid Mehdipour | Kourosh Nozari and S. Hamid Mehdipour | Parikh-Wilczek Tunneling from Noncommutative Higher Dimensional Black
Holes | 23 pages, 1 figure, Accepted for publication in JHEP | JHEP 0903:061,2009 | 10.1088/1126-6708/2009/03/061 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study tunneling of massless and massive particles through the smeared
quantum horizon of the extra-dimensional Schwarzschild black holes. The
emission rate of the particles' tunneling is modified by noncommutativity
effects in a bulk spacetime of dimension $d$. The issues of information loss
and possible correlations between emitted particles are discussed. We show that
even by considering both noncommutativity and braneworld effects, there is no
correlation between different modes of evaporation at least at late-time and
within approximations used in the calculations. However, incorporation of
quantum gravity effects such as modification of the standard dispersion
relation or generalization of the Heisenberg uncertainty principle, leads to
the correlation between emitted particles. Although time-evolution of these
correlations is not trivial, a part of information coming out of the black hole
can be preserved in these correlations. On the other hand, as a well-known
result of spacetime noncommutativity, a part of information may be preserved in
a stable black hole remnant.
| [
{
"created": "Wed, 11 Feb 2009 17:07:04 GMT",
"version": "v1"
}
] | 2009-04-17 | [
[
"Nozari",
"Kourosh",
""
],
[
"Mehdipour",
"S. Hamid",
""
]
] | We study tunneling of massless and massive particles through the smeared quantum horizon of the extra-dimensional Schwarzschild black holes. The emission rate of the particles' tunneling is modified by noncommutativity effects in a bulk spacetime of dimension $d$. The issues of information loss and possible correlations between emitted particles are discussed. We show that even by considering both noncommutativity and braneworld effects, there is no correlation between different modes of evaporation at least at late-time and within approximations used in the calculations. However, incorporation of quantum gravity effects such as modification of the standard dispersion relation or generalization of the Heisenberg uncertainty principle, leads to the correlation between emitted particles. Although time-evolution of these correlations is not trivial, a part of information coming out of the black hole can be preserved in these correlations. On the other hand, as a well-known result of spacetime noncommutativity, a part of information may be preserved in a stable black hole remnant. |
1909.12181 | Asger Cronberg Ipsen | Asger C. Ipsen and Kasper E. Vardinghus | The dilatation operator for defect conformal N=4 SYM | 7 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the dilatation operator for local "open string" operators situated
at the interface of a certain supersymmetric defect version of $\mathcal{N}=4$
super-Yang-Mills theory. This field theory is dual to a probe D5-brane
intersecting a stack of D3-branes where the number of D3-branes can change
between the two sides the interface. DeWolfe and Mann obtained the dilation
operator in the special case of an equal number of D3-branes. Using a
combination explicit field theory calculations and integrability considerations
we are able to extend this result to the general case.
| [
{
"created": "Thu, 26 Sep 2019 15:20:38 GMT",
"version": "v1"
}
] | 2019-09-27 | [
[
"Ipsen",
"Asger C.",
""
],
[
"Vardinghus",
"Kasper E.",
""
]
] | We compute the dilatation operator for local "open string" operators situated at the interface of a certain supersymmetric defect version of $\mathcal{N}=4$ super-Yang-Mills theory. This field theory is dual to a probe D5-brane intersecting a stack of D3-branes where the number of D3-branes can change between the two sides the interface. DeWolfe and Mann obtained the dilation operator in the special case of an equal number of D3-branes. Using a combination explicit field theory calculations and integrability considerations we are able to extend this result to the general case. |
2001.08756 | Flavio Mercati | Fedele Lizzi, Flavio Mercati, Mattia Manfredonia | The Momentum Spaces of $\kappa$-Minkowski noncommutative spacetime | Completely rewritten version. Past results by other authors have been
taken into account, and a new and better formulation has been introduced,
which allows to connect the different approaches to the momentum space of
kappa-Minkowski, and identify new, previously undiscovered, cases, like the
momentum space associated to the kappa-Carroll group | null | 10.1016/j.nuclphysb.2020.115117 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A useful concept in the development of physical models on the
$\kappa$-Minkowski noncommutative spacetime is that of a curved momentum space.
This structure is not unique: several inequivalent momentum space geometries
have been identified. Some are associated to a different assumption regarding
the signature of spacetime (i.e. Lorentzian vs. Euclidean), but there are
inequivalent momentum spaces that can be associated to the same signature and
even the same group of symmetries. Moreover, in the literature there are two
approaches to the definition of these momentum spaces, one based on the right-
(or left-)invariant metrics on the Lie group generated by the
$\kappa$-Minkowski algebra. The other is based on the construction of
$5$-dimensional matrix representation of the $\kappa$-Minkowski coordinate
algebra. Neither approach leads to a unique construction. Here, we find the
relation between these two approaches and introduce a unified approach, capable
of describing all momentum spaces, and identify the corresponding quantum group
of spacetime symmetries. We reproduce known results and get a few new ones. In
particular, we describe the three momentum spaces associated to the
$\kappa$-Poincar\'e group, which are half of a de Sitter, anti-de Sitter or
Minkowski space, and we identify what distinguishes them. Moreover, we find a
new momentum space with the geometry of a light cone, associated to a
$\kappa$-deformation of the Carroll group.
| [
{
"created": "Thu, 23 Jan 2020 19:00:03 GMT",
"version": "v1"
},
{
"created": "Mon, 4 May 2020 16:48:15 GMT",
"version": "v2"
},
{
"created": "Thu, 13 Aug 2020 10:01:59 GMT",
"version": "v3"
}
] | 2020-08-14 | [
[
"Lizzi",
"Fedele",
""
],
[
"Mercati",
"Flavio",
""
],
[
"Manfredonia",
"Mattia",
""
]
] | A useful concept in the development of physical models on the $\kappa$-Minkowski noncommutative spacetime is that of a curved momentum space. This structure is not unique: several inequivalent momentum space geometries have been identified. Some are associated to a different assumption regarding the signature of spacetime (i.e. Lorentzian vs. Euclidean), but there are inequivalent momentum spaces that can be associated to the same signature and even the same group of symmetries. Moreover, in the literature there are two approaches to the definition of these momentum spaces, one based on the right- (or left-)invariant metrics on the Lie group generated by the $\kappa$-Minkowski algebra. The other is based on the construction of $5$-dimensional matrix representation of the $\kappa$-Minkowski coordinate algebra. Neither approach leads to a unique construction. Here, we find the relation between these two approaches and introduce a unified approach, capable of describing all momentum spaces, and identify the corresponding quantum group of spacetime symmetries. We reproduce known results and get a few new ones. In particular, we describe the three momentum spaces associated to the $\kappa$-Poincar\'e group, which are half of a de Sitter, anti-de Sitter or Minkowski space, and we identify what distinguishes them. Moreover, we find a new momentum space with the geometry of a light cone, associated to a $\kappa$-deformation of the Carroll group. |
1702.08788 | Linus Wulff | Linus Wulff | Integrability of the superstring in AdS(3) x S(2) x S(2) x T(3) | 11 pages, 1 figure; v3: Minor clarifications, matches published
version | null | 10.1088/1751-8121/aa70b5 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Type II supergravity admits an AdS(3) x S(2) x S(2) x T(3) solution with
fluxes depending on several free parameters. We determine the constraints on
these parameters imposed by the requirement of (classical) integrability of the
superstring sigma model. To do this we analyze the low-energy effective action
for the spinning GKP string. The absence of particle production in the
tree-level S-matrix of bosonic excitations is shown to imply the vanishing of
two of the four parameters in the NSNS three-form flux. This reduces the
supergravity background to either the one-parameter AdS(3) x S(2) x S(2) x T(3)
background preserving eight supersymmetries, or a non-supersymmetric branch,
which differs only by flipping a sign in the RR flux. We show that both these
branches can be obtained from AdS(3) x S(3) x S(3) x S(1) by T-dualities on the
(Hopf) circle fibers of the three-spheres and therefore the integrability of
the string in these backgrounds follows.
| [
{
"created": "Tue, 28 Feb 2017 13:53:34 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Mar 2017 12:42:50 GMT",
"version": "v2"
},
{
"created": "Fri, 12 May 2017 13:28:03 GMT",
"version": "v3"
}
] | 2017-05-15 | [
[
"Wulff",
"Linus",
""
]
] | Type II supergravity admits an AdS(3) x S(2) x S(2) x T(3) solution with fluxes depending on several free parameters. We determine the constraints on these parameters imposed by the requirement of (classical) integrability of the superstring sigma model. To do this we analyze the low-energy effective action for the spinning GKP string. The absence of particle production in the tree-level S-matrix of bosonic excitations is shown to imply the vanishing of two of the four parameters in the NSNS three-form flux. This reduces the supergravity background to either the one-parameter AdS(3) x S(2) x S(2) x T(3) background preserving eight supersymmetries, or a non-supersymmetric branch, which differs only by flipping a sign in the RR flux. We show that both these branches can be obtained from AdS(3) x S(3) x S(3) x S(1) by T-dualities on the (Hopf) circle fibers of the three-spheres and therefore the integrability of the string in these backgrounds follows. |
1003.1112 | Nadav Drukker | Nadav Drukker, Davide Gaiotto and Jaume Gomis | The Virtue of Defects in 4D Gauge Theories and 2D CFTs | 59 pages, latex; v2 corrections to some formulae | null | 10.1007/JHEP06(2011)025 | HU-EP-10/07 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We advance a correspondence between the topological defect operators in
Liouville and Toda conformal field theories - which we construct - and loop
operators and domain wall operators in four dimensional N=2 supersymmetric
gauge theories on S^4. Our computation of the correlation functions in
Liouville/Toda theory in the presence of topological defect operators, which
are supported on curves on the Riemann surface, yields the exact answer for the
partition function of four dimensional gauge theories in the presence of
various walls and loop operators; results which we can quantitatively
substantiate with an independent gauge theory analysis. As an interesting
outcome of this work for two dimensional conformal field theories, we prove
that topological defect operators and the Verlinde loop operators are different
descriptions of the same operators.
| [
{
"created": "Thu, 4 Mar 2010 19:14:28 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Oct 2010 09:28:09 GMT",
"version": "v2"
}
] | 2015-05-18 | [
[
"Drukker",
"Nadav",
""
],
[
"Gaiotto",
"Davide",
""
],
[
"Gomis",
"Jaume",
""
]
] | We advance a correspondence between the topological defect operators in Liouville and Toda conformal field theories - which we construct - and loop operators and domain wall operators in four dimensional N=2 supersymmetric gauge theories on S^4. Our computation of the correlation functions in Liouville/Toda theory in the presence of topological defect operators, which are supported on curves on the Riemann surface, yields the exact answer for the partition function of four dimensional gauge theories in the presence of various walls and loop operators; results which we can quantitatively substantiate with an independent gauge theory analysis. As an interesting outcome of this work for two dimensional conformal field theories, we prove that topological defect operators and the Verlinde loop operators are different descriptions of the same operators. |
1810.02798 | Julio Oliva | Adolfo Cisterna, Sebastian Fuenzalida, Marcela Lagos and Julio Oliva | Homogeneous Black Strings in Einstein-Gauss-Bonnet with Horndeski hair
and beyond | 20 pages, 2 figures. V2: 20 pages, 2 figures. Explicit construction
of the asymptotically flat black strings in 6D EGB, included. To appear in
EJPC | null | 10.1140/epjc/s10052-018-6428-2 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we construct new exact solutions in Einstein-Gauss-Bonnet and
Lovelock gravity, describing asymptotically flat black strings. The solutions
exist also under the inclusion of a cosmological term in the action, and are
supported by scalar fields with finite energy density, which are linear along
the extended direction and have kinetic terms constructed out from Lovelock
tensors. The divergenceless nature of the Lovelock tensors in the kinetic terms
ensures that the whole theory is second order. For spherically, hyperbolic and
planar symmetric spacetimes on the string, we obtain an effective Wheeler's
polynomial which determines the lapse function up to an algebraic equation. For
the sake of concreteness, we explicitly show the existence of a family of
asymptotically flat black strings in six dimensions, as well as asymptotically
AdS$_{5}\times R$ black string solutions and compute the temperature, mass
density and entropy density. We compute the latter by Wald's formula and show
that it receives a contribution from the non-minimal kinetic coupling of the
matter part, shifting the one-quarter factor coming from the Einstein term, on
top of the usual non areal contribution arising from the quadratic Gauss-Bonnet
term. Finally, for a special value of the couplings of the theory in six
dimensions, we construct strings that contain asymptotically AdS wormholes as
well as rotating solutions on the transverse section. By including more scalars
the strings can be extended to $p$-branes, in arbitrary dimensions.
| [
{
"created": "Fri, 5 Oct 2018 17:27:21 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Nov 2018 15:48:49 GMT",
"version": "v2"
}
] | 2018-12-26 | [
[
"Cisterna",
"Adolfo",
""
],
[
"Fuenzalida",
"Sebastian",
""
],
[
"Lagos",
"Marcela",
""
],
[
"Oliva",
"Julio",
""
]
] | In this paper we construct new exact solutions in Einstein-Gauss-Bonnet and Lovelock gravity, describing asymptotically flat black strings. The solutions exist also under the inclusion of a cosmological term in the action, and are supported by scalar fields with finite energy density, which are linear along the extended direction and have kinetic terms constructed out from Lovelock tensors. The divergenceless nature of the Lovelock tensors in the kinetic terms ensures that the whole theory is second order. For spherically, hyperbolic and planar symmetric spacetimes on the string, we obtain an effective Wheeler's polynomial which determines the lapse function up to an algebraic equation. For the sake of concreteness, we explicitly show the existence of a family of asymptotically flat black strings in six dimensions, as well as asymptotically AdS$_{5}\times R$ black string solutions and compute the temperature, mass density and entropy density. We compute the latter by Wald's formula and show that it receives a contribution from the non-minimal kinetic coupling of the matter part, shifting the one-quarter factor coming from the Einstein term, on top of the usual non areal contribution arising from the quadratic Gauss-Bonnet term. Finally, for a special value of the couplings of the theory in six dimensions, we construct strings that contain asymptotically AdS wormholes as well as rotating solutions on the transverse section. By including more scalars the strings can be extended to $p$-branes, in arbitrary dimensions. |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.