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1.68k
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float64 2.96
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float64 2.95
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float64 2.92
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|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/0002073
|
Petr Horava
|
Michal Fabinger, Petr Horava
|
Casimir Effect Between World-Branes in Heterotic M-Theory
|
26 pp, 3 figures, harvmac (b); v2: typos corrected
|
Nucl.Phys.B580:243-263,2000
|
10.1016/S0550-3213(00)00255-8
|
CALT-68-2255, CITUSC/00-004, PRA-HEP 00/02
|
hep-th hep-ph
| null |
We study a non-supersymmetric $E_8\times\bar E_8$ compactification of
M-theory on $S^1/Z_2$, related to the supersymmetric $E_8\times E_8$ theory by
a chirality flip at one of the boundaries. This system represents an M-theory
analog of the D-brane anti-D-brane systems of string theory. Alternatively,
this compactification can be viewed as a model of supersymmetry breaking in the
``brane-world'' approach to phenomenology. We calculate the Casimir energy of
the system at large separations, and show that there is an attractive Casimir
force between the $E_8$ and $\bar E_8$ boundary. We predict that a tachyonic
instability develops at separations of order the Planck scale, and discuss the
possibility that the M-theory fivebrane might appear as a topological defect
supported by the $E_8\times\bar E_8$ system. Finally, we analyze the eventual
fate of the configuration, in the semiclassical approximation at large
separations: the two ends of the world annihilate by nucleating wormholes
between the two boundaries.
|
[
{
"created": "Wed, 9 Feb 2000 17:35:15 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Feb 2000 17:26:56 GMT",
"version": "v2"
}
] |
2010-11-19
|
[
[
"Fabinger",
"Michal",
""
],
[
"Horava",
"Petr",
""
]
] |
We study a non-supersymmetric $E_8\times\bar E_8$ compactification of M-theory on $S^1/Z_2$, related to the supersymmetric $E_8\times E_8$ theory by a chirality flip at one of the boundaries. This system represents an M-theory analog of the D-brane anti-D-brane systems of string theory. Alternatively, this compactification can be viewed as a model of supersymmetry breaking in the ``brane-world'' approach to phenomenology. We calculate the Casimir energy of the system at large separations, and show that there is an attractive Casimir force between the $E_8$ and $\bar E_8$ boundary. We predict that a tachyonic instability develops at separations of order the Planck scale, and discuss the possibility that the M-theory fivebrane might appear as a topological defect supported by the $E_8\times\bar E_8$ system. Finally, we analyze the eventual fate of the configuration, in the semiclassical approximation at large separations: the two ends of the world annihilate by nucleating wormholes between the two boundaries.
| 5.612461
| 6.028963
| 6.095975
| 5.838426
| 5.696946
| 5.352616
| 5.36625
| 5.212032
| 5.699881
| 6.565379
| 5.55027
| 5.537811
| 5.713611
| 5.454948
| 5.382348
| 5.384318
| 5.448991
| 5.309313
| 5.449584
| 6.009133
| 5.499517
|
hep-th/0108110
|
Igor Krichever
|
Igor Krichever
|
Vector bundles and Lax equations on algebraic curves
|
Latex, 42pages
|
Commun.Math.Phys. 229 (2002) 229-269
|
10.1007/s002200200659
| null |
hep-th math.AG
| null |
The Hamiltonian theory of zero-curvature equations with spectral parameter on
an arbitrary compact Riemann surface is constructed. It is shown that the
equations can be seen as commuting flows of an infinite-dimensional field
generalization of the Hitchin system. The field analog of the elliptic
Calogero-Moser system is proposed. An explicit parameterization of Hitchin
system based on the Tyurin parameters for stable holomorphic vector bundles on
algebraic curves is obtained.
|
[
{
"created": "Wed, 15 Aug 2001 08:58:56 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Krichever",
"Igor",
""
]
] |
The Hamiltonian theory of zero-curvature equations with spectral parameter on an arbitrary compact Riemann surface is constructed. It is shown that the equations can be seen as commuting flows of an infinite-dimensional field generalization of the Hitchin system. The field analog of the elliptic Calogero-Moser system is proposed. An explicit parameterization of Hitchin system based on the Tyurin parameters for stable holomorphic vector bundles on algebraic curves is obtained.
| 8.356084
| 8.351059
| 10.504223
| 8.089237
| 8.456815
| 8.528389
| 8.008418
| 8.455841
| 7.467796
| 10.514042
| 7.446424
| 7.958321
| 10.068646
| 8.241585
| 7.805455
| 7.850567
| 7.820801
| 8.318039
| 8.187852
| 9.885165
| 7.664598
|
hep-th/0011095
|
Nikita Nekrasov
|
Nikita A. Nekrasov
|
Trieste lectures on solitons in noncommutative gauge theories
|
65 pp, Latex, sprocl.sty; v2. typos corrected, refs added
| null |
10.1142/9789812810274_0004
|
IHES-NN/2, ITEP-TH-70/00
|
hep-th
| null |
We present a pedagogical introduction into noncommutative gauge theories,
their stringy origin, and non-perturbative effects, including monopole and
instanton solutions
|
[
{
"created": "Sun, 12 Nov 2000 23:13:20 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Nov 2000 17:10:43 GMT",
"version": "v2"
}
] |
2017-08-23
|
[
[
"Nekrasov",
"Nikita A.",
""
]
] |
We present a pedagogical introduction into noncommutative gauge theories, their stringy origin, and non-perturbative effects, including monopole and instanton solutions
| 9.765723
| 6.946661
| 7.825587
| 6.824124
| 6.529976
| 6.878911
| 7.242586
| 6.554003
| 6.248507
| 7.535508
| 6.179724
| 6.771713
| 7.802191
| 6.917681
| 6.899563
| 6.852638
| 6.162871
| 7.064637
| 6.92855
| 7.666364
| 6.775569
|
1812.08118
|
Blaise Gout\'eraux
|
Andrea Amoretti, Daniel Are\'an, Blaise Gout\'eraux and Daniele Musso
|
Universal relaxation in a holographic metallic density wave phase
|
v3: Presentation improved, new technical appendices, version accepted
for publication in PRL. v2: Significantly improved discussion of phonon
relaxation, new appendix added, some material moved to arXiv:1904.11445. v1:
14+6 pages, many figures
|
Phys. Rev. Lett. 123, 211602 (2019)
|
10.1103/PhysRevLett.123.211602
|
CPHT-RR116.122018;IFT-UAM/CSIC-18-130; NORDITA 2018-125;
|
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work, we uncover a universal relaxation mechanism of pinned density
waves, combining Gauge/Gravity duality and effective field theory techniques.
Upon breaking translations spontaneously, new gapless collective modes emerge,
the Nambu-Goldstone bosons of broken translations. When translations are also
weakly broken (eg by disorder or lattice effects), these phonons are pinned
with a mass $m$ and damped at a rate $\Omega$, which we explicitly compute.
This contribution to $\Omega$ is distinct from that of topological defects. We
show that $\Omega\simeq G m^2\Xi$, where $G$ is the shear modulus and $\Xi$ is
related to a diffusivity of the purely spontaneous state. This result follows
from the smallness of the bulk and shear moduli, as would be the case in a
phase with fluctuating translational order. At low temperatures, the collective
modes relax quickly into the heat current, so that late time transport is
dominated by the thermal diffusivity. In this regime, the resistivity in our
model is linear in temperature and the ac conductivity displays a significant
rearranging of the degrees of freedom, as spectral weight is shifted from an
off-axis, pinning peak to a Drude-like peak. These results could shed light on
transport properties in cuprate high $T_c$ superconductors, where quantum
critical behavior and translational order occur over large parts of the phase
diagram and transport shows qualitatively similar features.
|
[
{
"created": "Wed, 19 Dec 2018 17:56:07 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Apr 2019 16:05:38 GMT",
"version": "v2"
},
{
"created": "Tue, 15 Oct 2019 09:17:00 GMT",
"version": "v3"
}
] |
2019-11-27
|
[
[
"Amoretti",
"Andrea",
""
],
[
"Areán",
"Daniel",
""
],
[
"Goutéraux",
"Blaise",
""
],
[
"Musso",
"Daniele",
""
]
] |
In this work, we uncover a universal relaxation mechanism of pinned density waves, combining Gauge/Gravity duality and effective field theory techniques. Upon breaking translations spontaneously, new gapless collective modes emerge, the Nambu-Goldstone bosons of broken translations. When translations are also weakly broken (eg by disorder or lattice effects), these phonons are pinned with a mass $m$ and damped at a rate $\Omega$, which we explicitly compute. This contribution to $\Omega$ is distinct from that of topological defects. We show that $\Omega\simeq G m^2\Xi$, where $G$ is the shear modulus and $\Xi$ is related to a diffusivity of the purely spontaneous state. This result follows from the smallness of the bulk and shear moduli, as would be the case in a phase with fluctuating translational order. At low temperatures, the collective modes relax quickly into the heat current, so that late time transport is dominated by the thermal diffusivity. In this regime, the resistivity in our model is linear in temperature and the ac conductivity displays a significant rearranging of the degrees of freedom, as spectral weight is shifted from an off-axis, pinning peak to a Drude-like peak. These results could shed light on transport properties in cuprate high $T_c$ superconductors, where quantum critical behavior and translational order occur over large parts of the phase diagram and transport shows qualitatively similar features.
| 11.071139
| 11.554045
| 13.115351
| 11.371136
| 12.927872
| 12.578786
| 13.108596
| 12.200621
| 11.306474
| 12.54415
| 11.316951
| 11.279059
| 11.761031
| 11.2814
| 11.269225
| 11.431572
| 11.298203
| 11.148803
| 11.055027
| 11.686617
| 11.151132
|
hep-th/9506071
| null |
J.G. Russo and A.A. Tseytlin
|
Heterotic strings in a uniform magnetic field
|
25 pages, harvmac (few comments added, misprints corrected)
|
Nucl.Phys.B454:164-184,1995
|
10.1016/0550-3213(95)00430-Z
|
CERN-TH/95-106, Imperial/TP/94-95/29
|
hep-th
| null |
An exact conformal model representing a constant magnetic field background in
heterotic string theory is explicitly solved in terms of free
creation/annihilation operators. The spectrum of physical states is examined
for different possible embeddings of the magnetic U(1) subgroup. We find that
an arbitrarily small magnetic field gives rise to an infinite number of
tachyonic excitations corresponding to charged vector states of the massless
level and to higher level states with large spins and charges.
|
[
{
"created": "Sat, 10 Jun 1995 09:56:47 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Jul 1995 12:31:25 GMT",
"version": "v2"
}
] |
2009-09-17
|
[
[
"Russo",
"J. G.",
""
],
[
"Tseytlin",
"A. A.",
""
]
] |
An exact conformal model representing a constant magnetic field background in heterotic string theory is explicitly solved in terms of free creation/annihilation operators. The spectrum of physical states is examined for different possible embeddings of the magnetic U(1) subgroup. We find that an arbitrarily small magnetic field gives rise to an infinite number of tachyonic excitations corresponding to charged vector states of the massless level and to higher level states with large spins and charges.
| 13.747527
| 12.152895
| 12.920273
| 10.392875
| 10.90654
| 9.957998
| 11.375304
| 11.489935
| 10.820828
| 11.955593
| 11.04139
| 11.139638
| 11.212962
| 10.782148
| 10.551509
| 10.802496
| 10.796346
| 10.815679
| 11.130063
| 11.388762
| 10.79539
|
hep-th/0504089
|
Giampiero Esposito Dr.
|
Giampiero Esposito
|
From Spinor Geometry to Complex General Relativity
|
With kind permission from Springer Science and Business Media to use
material in the first 5 sections taken from the 1995 Kluwer book "Complex
General Relativity" by G. Esposito. In the revised version, 11 References
have been added
|
Int.J.Geom.Meth.Mod.Phys. 2 (2005) 675-731
|
10.1142/S0219887805000752
|
DSF preprint 2005/9
|
hep-th
| null |
An attempt is made of giving a self-contained (although incomplete)
introduction to holomorphic ideas in general relativity, following work over
the last thirty years by several authors. The main topics are complex
manifolds, two-component spinor calculus, conformal gravity, alpha-planes in
Minkowski space-time, alpha-surfaces and twistor geometry, anti-self-dual
space-times and Penrose transform, spin-3/2 potentials, heaven spaces and
heavenly equations.
|
[
{
"created": "Mon, 11 Apr 2005 06:31:24 GMT",
"version": "v1"
},
{
"created": "Mon, 23 May 2005 07:50:13 GMT",
"version": "v2"
}
] |
2015-06-26
|
[
[
"Esposito",
"Giampiero",
""
]
] |
An attempt is made of giving a self-contained (although incomplete) introduction to holomorphic ideas in general relativity, following work over the last thirty years by several authors. The main topics are complex manifolds, two-component spinor calculus, conformal gravity, alpha-planes in Minkowski space-time, alpha-surfaces and twistor geometry, anti-self-dual space-times and Penrose transform, spin-3/2 potentials, heaven spaces and heavenly equations.
| 12.439061
| 13.38121
| 12.006535
| 11.697854
| 11.504504
| 13.09026
| 13.032953
| 10.683039
| 11.602851
| 13.317201
| 11.809644
| 10.962349
| 10.961853
| 10.770815
| 10.554171
| 10.242679
| 10.850025
| 10.307499
| 10.545233
| 10.937937
| 10.969077
|
1811.03597
|
Tokiro Numasawa
|
Tokiro Numasawa
|
Holographic Complexity for disentangled states
|
37 pages, 11 figures. v2: Minor typographical error corrected
|
Prog Theor Exp Phys (2020)
|
10.1093/ptep/ptz156
|
OU-HET 986
|
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we consider the maximal volume and the action, which are
conjectured to be gravity duals of the complexity, in the black hole geometries
with end of the world branes. These geometries are duals of boundary states in
CFTs which have small real space entanglement. When we raise the black hole
temperature while keeping the cutoff radius, black hole horizons or end of the
world branes come in contact with the cutoff surface. In this limit,
holographic entanglement entropy reduces to 0. We studied the behavior of the
volume and the action. We found that the volume reduces to 0 in this limit. The
behavior of the action depends on their regularization. We study the
implication of these results to the reference state of the holographic
complexity both in the complexity = volume or the complexity = action
conjectures.
|
[
{
"created": "Thu, 8 Nov 2018 18:31:50 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Feb 2019 04:17:26 GMT",
"version": "v2"
}
] |
2020-03-18
|
[
[
"Numasawa",
"Tokiro",
""
]
] |
In this paper we consider the maximal volume and the action, which are conjectured to be gravity duals of the complexity, in the black hole geometries with end of the world branes. These geometries are duals of boundary states in CFTs which have small real space entanglement. When we raise the black hole temperature while keeping the cutoff radius, black hole horizons or end of the world branes come in contact with the cutoff surface. In this limit, holographic entanglement entropy reduces to 0. We studied the behavior of the volume and the action. We found that the volume reduces to 0 in this limit. The behavior of the action depends on their regularization. We study the implication of these results to the reference state of the holographic complexity both in the complexity = volume or the complexity = action conjectures.
| 9.548314
| 9.130346
| 10.012547
| 8.280841
| 8.446797
| 8.940754
| 8.401437
| 8.076663
| 8.561979
| 11.43221
| 7.956471
| 8.915051
| 9.207349
| 8.924209
| 9.329278
| 8.917175
| 9.131563
| 9.058965
| 8.895711
| 9.236485
| 8.769729
|
hep-th/0403004
|
Bin Chen
|
Bin Chen, Xiao-Jun Wang and Yong-Shi Wu
|
Open Spin Chain and Open Spinning String
|
16 pages, revtex4; revised version,references added
|
Phys.Lett. B591 (2004) 170-180
|
10.1016/j.physletb.2004.04.013
| null |
hep-th
| null |
In this letter, we study the open spinning strings and their SYM duals. A new
class of folded open spinning strings is found. At planar one-loop level in
SYM, by solving the thermodynamic limit of the Bethe ansatz equations for an
integrable open spin chain, we find good agreement with string theory
predictions for energies of both circular and folded two-spin solutions. A
universal relation between the open and closed spinning strings is verified in
the spin chain approach.
|
[
{
"created": "Sat, 28 Feb 2004 03:37:24 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Mar 2004 08:34:01 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Chen",
"Bin",
""
],
[
"Wang",
"Xiao-Jun",
""
],
[
"Wu",
"Yong-Shi",
""
]
] |
In this letter, we study the open spinning strings and their SYM duals. A new class of folded open spinning strings is found. At planar one-loop level in SYM, by solving the thermodynamic limit of the Bethe ansatz equations for an integrable open spin chain, we find good agreement with string theory predictions for energies of both circular and folded two-spin solutions. A universal relation between the open and closed spinning strings is verified in the spin chain approach.
| 12.529428
| 11.191576
| 13.942727
| 10.534989
| 10.450531
| 11.578262
| 10.658097
| 11.21459
| 9.680447
| 12.747055
| 10.207951
| 10.709666
| 11.264668
| 10.582849
| 10.423347
| 10.85598
| 10.529794
| 10.653068
| 10.485716
| 11.386598
| 10.191295
|
1607.05701
|
Oliver Schlotterer
|
Dhritiman Nandan, Jan Plefka, Oliver Schlotterer, Congkao Wen
|
Einstein-Yang-Mills from pure Yang-Mills amplitudes
|
28 pages, v2: references and appendix added, published version
|
JHEP 1610 (2016) 070
|
10.1007/JHEP10(2016)070
|
HU-EP-16/22
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present new relations for scattering amplitudes of color ordered gluons
and gravitons in Einstein-Yang-Mills theory. Tree-level amplitudes of arbitrary
multiplicities and polarizations involving up to three gravitons and up to two
color traces are reduced to partial amplitudes of pure Yang-Mills theory. In
fact, the double-trace identities apply to Einstein-Yang-Mills extended by a
dilaton and a B-field. Our results generalize recent work of Stieberger and
Taylor for the single graviton case with a single color trace. As the
derivation is made in the dimension-agnostic Cachazo-He-Yuan formalism, our
results are valid for external bosons in any number of spacetime dimensions.
Moreover, they generalize to the superamplitudes in theories with 16
supercharges.
|
[
{
"created": "Tue, 19 Jul 2016 19:14:49 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Jan 2017 14:55:28 GMT",
"version": "v2"
}
] |
2017-01-24
|
[
[
"Nandan",
"Dhritiman",
""
],
[
"Plefka",
"Jan",
""
],
[
"Schlotterer",
"Oliver",
""
],
[
"Wen",
"Congkao",
""
]
] |
We present new relations for scattering amplitudes of color ordered gluons and gravitons in Einstein-Yang-Mills theory. Tree-level amplitudes of arbitrary multiplicities and polarizations involving up to three gravitons and up to two color traces are reduced to partial amplitudes of pure Yang-Mills theory. In fact, the double-trace identities apply to Einstein-Yang-Mills extended by a dilaton and a B-field. Our results generalize recent work of Stieberger and Taylor for the single graviton case with a single color trace. As the derivation is made in the dimension-agnostic Cachazo-He-Yuan formalism, our results are valid for external bosons in any number of spacetime dimensions. Moreover, they generalize to the superamplitudes in theories with 16 supercharges.
| 5.952252
| 6.249836
| 8.865193
| 6.678352
| 6.30957
| 6.242092
| 6.5991
| 6.356202
| 6.851048
| 8.798836
| 6.542985
| 6.125205
| 7.002294
| 6.150157
| 6.189914
| 6.091206
| 6.068165
| 6.180863
| 5.923515
| 6.806366
| 6.152218
|
2108.05535
|
Euihun Joung
|
Euihun Joung, Min-gi Kim and Yujin Kim
|
Unfolding Conformal Geometry
|
45 pages
| null |
10.1007/JHEP12(2021)092
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
Conformal geometry is studied using the unfolded formulation \`a la Vasiliev.
Analyzing the first-order consistency of the unfolded equations, we identify
the content of zero-forms as the spin-two off-shell Fradkin-Tseytlin module of
$\mathfrak{so}(2,d)$. We sketch the nonlinear structure of the equations and
explain how Weyl invariant densities, which Type-B Weyl anomaly consist of,
could be systematically computed within the unfolded formulation. The unfolded
equation for conformal geometry is also shown to be reduced to various on-shell
gravitational systems by requiring additional algebraic constraints.
|
[
{
"created": "Thu, 12 Aug 2021 05:04:34 GMT",
"version": "v1"
}
] |
2022-01-05
|
[
[
"Joung",
"Euihun",
""
],
[
"Kim",
"Min-gi",
""
],
[
"Kim",
"Yujin",
""
]
] |
Conformal geometry is studied using the unfolded formulation \`a la Vasiliev. Analyzing the first-order consistency of the unfolded equations, we identify the content of zero-forms as the spin-two off-shell Fradkin-Tseytlin module of $\mathfrak{so}(2,d)$. We sketch the nonlinear structure of the equations and explain how Weyl invariant densities, which Type-B Weyl anomaly consist of, could be systematically computed within the unfolded formulation. The unfolded equation for conformal geometry is also shown to be reduced to various on-shell gravitational systems by requiring additional algebraic constraints.
| 17.513851
| 16.263697
| 19.320635
| 15.015047
| 16.73081
| 15.170974
| 15.570397
| 15.808804
| 15.986448
| 20.6609
| 15.381472
| 15.274158
| 16.273188
| 16.21294
| 15.87384
| 16.421741
| 16.408232
| 16.003075
| 15.396327
| 16.555973
| 14.570786
|
1808.03748
|
Mu-In Park
|
Jin Young Kim, Chong Oh Lee, and Mu-In Park
|
Quasi-Normal Modes of a Natural AdS Wormhole in Einstein-Born-Infeld
Gravity
|
Added comments and references, Accepted in EPJC
| null |
10.1140/epjc/s10052-018-6478-5
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the matter perturbations of a new AdS wormhole in (3+1)-dimensional
Einstein-Born-Infeld gravity, called "natural wormhole", which does not require
exotic matters. We discuss the stability of the perturbations by numerically
computing the quasi-normal modes (QNMs) of a massive scalar field in the
wormhole background. We investigate the dependence of quasi-normal frequencies
on the mass of scalar field as well as other parameters of the wormhole. It is
found that the perturbations are always stable for the wormhole geometry which
has the general relativity (GR) limit when the scalar field mass m satisfies a
certain, tachyonic mass bound m^2 > m^2_* with m^2_* < 0, analogous to the
Breitenlohner-Freedman (BF) bound in the global-AdS space, m^2_BF = 3 Lambda/4.
It is also found that the BF-like bound m^2_* shifts by the changes of the
cosmological constant Lambda or angular-momentum number l, with a level
crossing between the lowest complex and pure-imaginary modes for zero angular
momentum l = 0. Furthermore, it is found that the unstable modes can also have
oscillatory parts as well as non-oscillatory parts depending on whether the
real and imaginary parts of frequencies are dependent on each other or not,
contrary to arguments in the literature. For wormhole geometries which do not
have the GR limit, the BF-like bound does not occur and the perturbations are
stable for arbitrary tachyonic and non-tachyonic masses, up to a critical mass
m^2_c > 0 where the perturbations are completely frozen.
|
[
{
"created": "Sat, 11 Aug 2018 04:30:39 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Nov 2018 12:48:16 GMT",
"version": "v2"
}
] |
2018-12-26
|
[
[
"Kim",
"Jin Young",
""
],
[
"Lee",
"Chong Oh",
""
],
[
"Park",
"Mu-In",
""
]
] |
We study the matter perturbations of a new AdS wormhole in (3+1)-dimensional Einstein-Born-Infeld gravity, called "natural wormhole", which does not require exotic matters. We discuss the stability of the perturbations by numerically computing the quasi-normal modes (QNMs) of a massive scalar field in the wormhole background. We investigate the dependence of quasi-normal frequencies on the mass of scalar field as well as other parameters of the wormhole. It is found that the perturbations are always stable for the wormhole geometry which has the general relativity (GR) limit when the scalar field mass m satisfies a certain, tachyonic mass bound m^2 > m^2_* with m^2_* < 0, analogous to the Breitenlohner-Freedman (BF) bound in the global-AdS space, m^2_BF = 3 Lambda/4. It is also found that the BF-like bound m^2_* shifts by the changes of the cosmological constant Lambda or angular-momentum number l, with a level crossing between the lowest complex and pure-imaginary modes for zero angular momentum l = 0. Furthermore, it is found that the unstable modes can also have oscillatory parts as well as non-oscillatory parts depending on whether the real and imaginary parts of frequencies are dependent on each other or not, contrary to arguments in the literature. For wormhole geometries which do not have the GR limit, the BF-like bound does not occur and the perturbations are stable for arbitrary tachyonic and non-tachyonic masses, up to a critical mass m^2_c > 0 where the perturbations are completely frozen.
| 6.205675
| 7.111365
| 6.970368
| 6.230999
| 6.706522
| 6.65113
| 7.432581
| 6.522049
| 6.708602
| 7.262493
| 6.228699
| 6.240196
| 6.24677
| 6.218174
| 6.430968
| 6.224003
| 6.292809
| 6.153831
| 6.274631
| 6.207871
| 6.149993
|
2207.06976
|
Evgeny Skvortsov D
|
Evgeny Skvortsov and Yihao Yin
|
On (spinor)-helicity and bosonization in $AdS_4/CFT_3$
|
39 + Appendices + Biblio = 54 pages
| null |
10.1007/JHEP03(2023)204
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Helicity is a useful concept both for $AdS_4$ and CFT${}_3$ studies. We work
out the complete $AdS_4/CFT_3$ dictionary for spinning fields/operators in the
spinor-helicity base that allows one to scalarize any $n$-point contact vertex.
$AdS_4$-vertices encode correlation functions of conserved currents,
stress-tensor and, more generally, higher spin currents in a simple way. We
work out the dictionary for Yang-Mills- and gravity-type theories with higher
derivative corrections as well as some higher spin examples and exemplify the
relation to the three-dimensional bosonization duality. The bosonization can be
understood as a simple surgery: vertices/correlators are built via an
EM-duality transformation by sewing together (anti)-Chiral higher spin
gravities, to whose existence the three-dimensional bosonization duality can be
attributed.
|
[
{
"created": "Thu, 14 Jul 2022 14:57:03 GMT",
"version": "v1"
}
] |
2023-04-12
|
[
[
"Skvortsov",
"Evgeny",
""
],
[
"Yin",
"Yihao",
""
]
] |
Helicity is a useful concept both for $AdS_4$ and CFT${}_3$ studies. We work out the complete $AdS_4/CFT_3$ dictionary for spinning fields/operators in the spinor-helicity base that allows one to scalarize any $n$-point contact vertex. $AdS_4$-vertices encode correlation functions of conserved currents, stress-tensor and, more generally, higher spin currents in a simple way. We work out the dictionary for Yang-Mills- and gravity-type theories with higher derivative corrections as well as some higher spin examples and exemplify the relation to the three-dimensional bosonization duality. The bosonization can be understood as a simple surgery: vertices/correlators are built via an EM-duality transformation by sewing together (anti)-Chiral higher spin gravities, to whose existence the three-dimensional bosonization duality can be attributed.
| 14.315705
| 13.71766
| 16.926926
| 13.025902
| 14.403279
| 14.463028
| 14.386133
| 13.634042
| 13.07381
| 16.926651
| 13.195517
| 12.91145
| 13.626345
| 13.113196
| 12.970174
| 13.192377
| 13.063322
| 13.099854
| 13.265142
| 14.020006
| 13.199397
|
hep-th/9510133
|
Euro Spallucci
|
S.Ansoldi, A.Aurilia, E.Spallucci
|
String Propagator: a Loop Space Representation
|
15 pages, no figures, ReVTeX 3.0
|
Phys.Rev. D53 (1996) 870-878
|
10.1103/PhysRevD.53.870
|
UTS-DFT-95-4
|
hep-th
| null |
The string quantum kernel is normally written as a functional sum over the
string coordinates and the world--sheet metrics. As an alternative to this
quantum field--inspired approach, we study the closed bosonic string
propagation amplitude in the functional space of loop configurations. This
functional theory is based entirely on the Jacobi variational formulation of
quantum mechanics, {\it without the use of a lattice approximation}. The
corresponding Feynman path integral is weighed by a string action which is a
{\it reparametrization invariant} version of the Schild action. We show that
this path integral formulation is equivalent to a functional ``Schrodinger''
equation defined in loop--space. Finally, for a free string, we show that the
path integral and the functional wave equation are {\it exactly } solvable.
|
[
{
"created": "Wed, 18 Oct 1995 14:33:23 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Ansoldi",
"S.",
""
],
[
"Aurilia",
"A.",
""
],
[
"Spallucci",
"E.",
""
]
] |
The string quantum kernel is normally written as a functional sum over the string coordinates and the world--sheet metrics. As an alternative to this quantum field--inspired approach, we study the closed bosonic string propagation amplitude in the functional space of loop configurations. This functional theory is based entirely on the Jacobi variational formulation of quantum mechanics, {\it without the use of a lattice approximation}. The corresponding Feynman path integral is weighed by a string action which is a {\it reparametrization invariant} version of the Schild action. We show that this path integral formulation is equivalent to a functional ``Schrodinger'' equation defined in loop--space. Finally, for a free string, we show that the path integral and the functional wave equation are {\it exactly } solvable.
| 12.618397
| 12.427231
| 12.254515
| 12.207347
| 12.926931
| 13.472401
| 12.959473
| 12.280092
| 11.971113
| 13.308679
| 12.17291
| 11.736856
| 12.161019
| 11.634458
| 11.799261
| 12.092656
| 11.74218
| 11.890683
| 11.673832
| 12.208856
| 11.754673
|
hep-th/9302054
| null |
Christian Grosche
|
Path Integral Solution of a Class of Explicitly Time-Dependent
Potentials
|
13 pages, amstex, SISSA/2/93/FM (In the revised version some
improvements and corrections have been made.)
| null |
10.1016/0375-9601(93)90048-5
| null |
hep-th
| null |
A specific class of explicitly time-dependent potentials is studied by means
of path integrals. For this purpose a general formalism to treat explicitly
time-dependent space-time transformations in path integrals is sketched. An
explicit time-dependent model under consideration is of the form
$V(q,t)=V[q/\zeta(t)]/\zeta^2(t)$, where $V$ is a usual potential, and
$\zeta(t)=(at^2+2bt+c)^{1/2}$. A recent result of Dodonov et al.\ for
calculating corresponding propagators is incorporated into the path integral
formalism by performing a space-time transformation. Some examples illustrate
the formalism.
|
[
{
"created": "Sat, 13 Feb 1993 13:03:08 GMT",
"version": "v1"
},
{
"created": "Sat, 11 Sep 1993 09:58:58 GMT",
"version": "v2"
}
] |
2009-10-22
|
[
[
"Grosche",
"Christian",
""
]
] |
A specific class of explicitly time-dependent potentials is studied by means of path integrals. For this purpose a general formalism to treat explicitly time-dependent space-time transformations in path integrals is sketched. An explicit time-dependent model under consideration is of the form $V(q,t)=V[q/\zeta(t)]/\zeta^2(t)$, where $V$ is a usual potential, and $\zeta(t)=(at^2+2bt+c)^{1/2}$. A recent result of Dodonov et al.\ for calculating corresponding propagators is incorporated into the path integral formalism by performing a space-time transformation. Some examples illustrate the formalism.
| 12.657824
| 9.329029
| 8.793758
| 8.059828
| 9.680922
| 8.514226
| 9.222607
| 8.731233
| 9.154465
| 8.714334
| 8.530528
| 8.479261
| 8.310199
| 8.223521
| 8.226882
| 8.160089
| 8.020263
| 8.153688
| 8.552393
| 8.137194
| 8.169273
|
2204.05282
|
Norbert Dragon
|
Norbert Dragon
|
Bundle Structure of Massless Unitary Representations of the Poincar\'e
Group
|
arXiv admin note: text overlap with arXiv:1601.07825
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Reviewing the construction of induced representations of the Poincar\'e group
of four-dimensional spacetime we find all massive representations, including
the ones acting on interacting many-particle states. Massless momentum
wavefunctions of non-vanishing helicity turn out to be more precisely sections
of a U(1)-bundle over the massless shell, a property which to date was
overlooked in bracket notation. Our traditional notation enables questions
about square integrability and smoothness. Their answers complete the picture
of relativistic quantum physics.
Frobenius' reciprocity theorem prohibits massless one-particle states with
total angular momentum less than the modulus of the helicity. There is no
two-photon state with J=1, explaining the longevity of orthopositronium.
Partial derivatives of the momentum wave functions are no operators which can
be applied to massless states Psi with nonvanishing helicity. They allow only
for covariant, noncommuting derivatives. The massless shell has a
noncommutative geometry with helicity being its topological charge. A spatial
position operator for Psi which constitutes Heisenberg pairs with the spatial
momentum, is excluded by the smoothness requirement of the domain of the
Lorentz generators.
|
[
{
"created": "Mon, 11 Apr 2022 17:37:56 GMT",
"version": "v1"
},
{
"created": "Sun, 8 Oct 2023 19:23:25 GMT",
"version": "v2"
}
] |
2023-10-10
|
[
[
"Dragon",
"Norbert",
""
]
] |
Reviewing the construction of induced representations of the Poincar\'e group of four-dimensional spacetime we find all massive representations, including the ones acting on interacting many-particle states. Massless momentum wavefunctions of non-vanishing helicity turn out to be more precisely sections of a U(1)-bundle over the massless shell, a property which to date was overlooked in bracket notation. Our traditional notation enables questions about square integrability and smoothness. Their answers complete the picture of relativistic quantum physics. Frobenius' reciprocity theorem prohibits massless one-particle states with total angular momentum less than the modulus of the helicity. There is no two-photon state with J=1, explaining the longevity of orthopositronium. Partial derivatives of the momentum wave functions are no operators which can be applied to massless states Psi with nonvanishing helicity. They allow only for covariant, noncommuting derivatives. The massless shell has a noncommutative geometry with helicity being its topological charge. A spatial position operator for Psi which constitutes Heisenberg pairs with the spatial momentum, is excluded by the smoothness requirement of the domain of the Lorentz generators.
| 19.892891
| 20.560116
| 20.394461
| 19.615692
| 22.140871
| 21.467823
| 20.596699
| 20.35701
| 18.778347
| 22.127018
| 20.418486
| 18.870411
| 19.483301
| 18.83898
| 18.842434
| 19.025728
| 18.903368
| 18.430557
| 18.841272
| 19.629353
| 18.35918
|
hep-th/0112133
|
Robert C. Myers
|
Dumitru Astefanesei and Robert C. Myers
|
A new wrinkle on the enhancon
|
19 pages, no figures
|
JHEP 0202 (2002) 043
|
10.1088/1126-6708/2002/02/043
| null |
hep-th
| null |
We generalize the basic enhancon solution of Johnson, Peet and Polchinski by
constructing solutions without spherical symmetry. A careful consideration of
boundary conditions at the enhancon surface indicates that the interior of the
supergravity solution is still flat space in the general case. We provide some
explicit analytic solutions where the enhancon locus is a prolate or oblate
sphere.
|
[
{
"created": "Fri, 14 Dec 2001 21:55:50 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Astefanesei",
"Dumitru",
""
],
[
"Myers",
"Robert C.",
""
]
] |
We generalize the basic enhancon solution of Johnson, Peet and Polchinski by constructing solutions without spherical symmetry. A careful consideration of boundary conditions at the enhancon surface indicates that the interior of the supergravity solution is still flat space in the general case. We provide some explicit analytic solutions where the enhancon locus is a prolate or oblate sphere.
| 13.2433
| 14.010166
| 13.961395
| 9.877582
| 12.616565
| 14.875426
| 13.045952
| 11.134743
| 12.424345
| 18.556135
| 12.380638
| 12.780045
| 12.878263
| 12.925248
| 13.300498
| 12.571656
| 13.051661
| 12.533014
| 12.834002
| 12.39824
| 12.408537
|
1906.02722
|
Rajesh Gupta
|
Justin R. David, Edi Gava, Rajesh Kumar Gupta, Kumar Narain
|
Boundary conditions and localization on AdS: Part 2 General analysis
|
38 pages
| null |
10.1007/JHEP02(2020)139
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We develop the method of Green's function to evaluate the one loop
determinants that arise in localization of supersymmetric field theories on
$AdS$ spaces. The theories we study have at least ${\cal N}=2$ supersymmetry
and normalisable boundary conditions are consistent with supersymmetry. We then
show that under general assumptions the variation of the one loop determinant
with respect to the localizing background reduces to a total derivative.
Therefore it receives contributions only from the origin of $AdS$ and from
asymptotic infinity. From expanding both the Greens function and the quadratic
operators at the origin of $AdS$ and asymptotic infinity, we show that the
variation of the one loop determinant is proportional to an integer.
Furthermore, we show that this integer is an index of a first order
differential operator. We demonstrate that these assumptions are valid for
Chern-Simons theories coupled to chiral multiplets on $AdS_2\times S^1$.
Finally we use our results to show that $U(N_c)$ Chern-Simons theory at level
$k$ coupled to $N_f$ chiral multiplets and $N_f$ anti-chiral multiplets in the
fundamental obeys level-rank duality on $AdS_2\times S^1$.
|
[
{
"created": "Thu, 6 Jun 2019 17:45:49 GMT",
"version": "v1"
}
] |
2020-03-18
|
[
[
"David",
"Justin R.",
""
],
[
"Gava",
"Edi",
""
],
[
"Gupta",
"Rajesh Kumar",
""
],
[
"Narain",
"Kumar",
""
]
] |
We develop the method of Green's function to evaluate the one loop determinants that arise in localization of supersymmetric field theories on $AdS$ spaces. The theories we study have at least ${\cal N}=2$ supersymmetry and normalisable boundary conditions are consistent with supersymmetry. We then show that under general assumptions the variation of the one loop determinant with respect to the localizing background reduces to a total derivative. Therefore it receives contributions only from the origin of $AdS$ and from asymptotic infinity. From expanding both the Greens function and the quadratic operators at the origin of $AdS$ and asymptotic infinity, we show that the variation of the one loop determinant is proportional to an integer. Furthermore, we show that this integer is an index of a first order differential operator. We demonstrate that these assumptions are valid for Chern-Simons theories coupled to chiral multiplets on $AdS_2\times S^1$. Finally we use our results to show that $U(N_c)$ Chern-Simons theory at level $k$ coupled to $N_f$ chiral multiplets and $N_f$ anti-chiral multiplets in the fundamental obeys level-rank duality on $AdS_2\times S^1$.
| 6.055847
| 5.766398
| 6.209683
| 5.993522
| 5.659188
| 5.886484
| 6.0549
| 5.987716
| 5.981664
| 7.036294
| 5.686532
| 5.843018
| 6.006
| 5.619153
| 5.751378
| 5.711534
| 5.801083
| 5.816129
| 5.750298
| 6.077608
| 5.687776
|
hep-th/9806172
|
Marco Spaans
|
Marco Spaans (Harvard CfA)
|
Towards a Topological Formulation of Fundamental Interactions
|
uses PTPTex.sty, included
| null | null | null |
hep-th gr-qc
| null |
A thought experiment is formulated to unify quantum mechanics and general
relativity in a topological manner. An analysis of the interactions in Nature
is then presented. The universal ground state of the constructed theory derives
from the cyclic properties ($S^1$ homotopy) of the topological manifold
$Q=2T^3\oplus 3S^1\times S^2$ which has 23 intrinsic degrees of freedom,
discrete $Z_3$ and $Z_2\times Z_3$ internal groups, an SU(5) or SO(10) gauge
group, and leads to an anomalous U(1) symmetry on a lattice. These properties
can in principle reproduce the standard model with a stable proton. The general
equation of motion for the unified theory is derived up to the Planck energy
and leads to a Higgs field with possible inflation. The thermodynamic
properties of $Q$ are discussed and yield a consistent amplitude for the cosmic
microwave background fluctuations. The manifold $Q$ possesses internal energy
scales which are independent of the field theory defined on it, but which
constrain the predicted mass hierarchy of such theories. In particular the
electron and its neutrino are identified as particle ground states and their
masses are predicted. The mass of the electron agrees very well with
observations. A heuristic argument for the occurrence and magnitude of CP
violation is given. Future extensions of the presented framework are discussed.
|
[
{
"created": "Fri, 19 Jun 1998 20:16:04 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Spaans",
"Marco",
"",
"Harvard CfA"
]
] |
A thought experiment is formulated to unify quantum mechanics and general relativity in a topological manner. An analysis of the interactions in Nature is then presented. The universal ground state of the constructed theory derives from the cyclic properties ($S^1$ homotopy) of the topological manifold $Q=2T^3\oplus 3S^1\times S^2$ which has 23 intrinsic degrees of freedom, discrete $Z_3$ and $Z_2\times Z_3$ internal groups, an SU(5) or SO(10) gauge group, and leads to an anomalous U(1) symmetry on a lattice. These properties can in principle reproduce the standard model with a stable proton. The general equation of motion for the unified theory is derived up to the Planck energy and leads to a Higgs field with possible inflation. The thermodynamic properties of $Q$ are discussed and yield a consistent amplitude for the cosmic microwave background fluctuations. The manifold $Q$ possesses internal energy scales which are independent of the field theory defined on it, but which constrain the predicted mass hierarchy of such theories. In particular the electron and its neutrino are identified as particle ground states and their masses are predicted. The mass of the electron agrees very well with observations. A heuristic argument for the occurrence and magnitude of CP violation is given. Future extensions of the presented framework are discussed.
| 12.844158
| 13.91004
| 11.196417
| 11.912979
| 13.495026
| 14.143869
| 14.410572
| 11.44453
| 13.133046
| 11.753372
| 13.067677
| 12.713107
| 12.215287
| 12.337652
| 12.760295
| 12.497945
| 12.79831
| 12.480103
| 12.434831
| 11.947222
| 12.54657
|
1201.2521
|
George Bogoslovsky
|
George Yu. Bogoslovsky
|
Dynamic rearrangement of vacuum and the phase transitions in the
geometric structure of space-time
|
18 pages, 1 figure, to appear in Int. J. Geom. Meth. Mod. Phys
| null | null | null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is shown that in the case of spontaneous breaking of the original gauge
symmetry, a dynamic rearrangement of vacuum may lead to the formation of some
anisotropic condensates. The appearance of such condensates causes the
respective phase transitions in the geometric structure of space-time and
creates a flat anisotropic, i.e. Finslerian event space. Actually there arises
either a flat relativistically-invariant Finslerian space with partially broken
3D isotropy, i.e. axially-symmetric space, or a flat relativistically-invariant
Finslerian space with entirely broken 3D isotropy. The fact that any entirely
anisotropic relativistically-invariant Finslerian event space belongs to a
3-parameter family of such spaces gives rise to a fine structure of the
respective geometric phase transitions. In the present work the fine structure
of the geometric phase transitions is studied by classifying all the metric
states of the entirely anisotropic event space and the respective mass shell
equations.
|
[
{
"created": "Thu, 12 Jan 2012 10:34:55 GMT",
"version": "v1"
}
] |
2012-01-13
|
[
[
"Bogoslovsky",
"George Yu.",
""
]
] |
It is shown that in the case of spontaneous breaking of the original gauge symmetry, a dynamic rearrangement of vacuum may lead to the formation of some anisotropic condensates. The appearance of such condensates causes the respective phase transitions in the geometric structure of space-time and creates a flat anisotropic, i.e. Finslerian event space. Actually there arises either a flat relativistically-invariant Finslerian space with partially broken 3D isotropy, i.e. axially-symmetric space, or a flat relativistically-invariant Finslerian space with entirely broken 3D isotropy. The fact that any entirely anisotropic relativistically-invariant Finslerian event space belongs to a 3-parameter family of such spaces gives rise to a fine structure of the respective geometric phase transitions. In the present work the fine structure of the geometric phase transitions is studied by classifying all the metric states of the entirely anisotropic event space and the respective mass shell equations.
| 9.036371
| 9.246017
| 8.64015
| 8.579666
| 9.008454
| 9.036287
| 9.628421
| 9.410264
| 8.992618
| 9.118515
| 8.917892
| 8.590555
| 8.317653
| 8.258803
| 8.564837
| 8.452277
| 8.538794
| 8.615982
| 8.610137
| 8.73911
| 8.664819
|
hep-th/0312308
|
Yunseok Seo
|
Chaiho Rim, Yunseok Seo, Jae Hyung Yee
|
Perturbation theory of the space-time non-commutative real scalar field
theories
|
Latex 26 pages, notations modified, add references
|
Phys.Rev. D70 (2004) 025006
|
10.1103/PhysRevD.70.025006
| null |
hep-th
| null |
The perturbative framework of the space-time non-commutative real scalar
field theory is formulated, based on the unitary S-matrix. Unitarity of the
S-matrix is explicitly checked order by order using the Heisenberg picture of
Lagrangian formalism of the second quantized operators, with the emphasis of
the so-called minimal realization of the time-ordering step function and of the
importance of the $\star$-time ordering. The Feynman rule is established and is
presented using $\phi^4$ scalar field theory. It is shown that the divergence
structure of space-time non-commutative theory is the same as the one of
space-space non-commutative theory, while there is no UV-IR mixing problem in
this space-time non-commutative theory.
|
[
{
"created": "Tue, 30 Dec 2003 08:14:25 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Mar 2004 11:46:16 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Rim",
"Chaiho",
""
],
[
"Seo",
"Yunseok",
""
],
[
"Yee",
"Jae Hyung",
""
]
] |
The perturbative framework of the space-time non-commutative real scalar field theory is formulated, based on the unitary S-matrix. Unitarity of the S-matrix is explicitly checked order by order using the Heisenberg picture of Lagrangian formalism of the second quantized operators, with the emphasis of the so-called minimal realization of the time-ordering step function and of the importance of the $\star$-time ordering. The Feynman rule is established and is presented using $\phi^4$ scalar field theory. It is shown that the divergence structure of space-time non-commutative theory is the same as the one of space-space non-commutative theory, while there is no UV-IR mixing problem in this space-time non-commutative theory.
| 9.795014
| 8.930106
| 9.14134
| 8.689431
| 8.747802
| 9.15239
| 8.806967
| 8.843112
| 8.58548
| 9.672918
| 8.553819
| 9.118801
| 9.04498
| 8.430437
| 9.015293
| 8.774534
| 8.939629
| 8.787926
| 8.789162
| 9.096997
| 8.625276
|
hep-th/0010228
|
Ettore Vicari
|
M. Caselle, A. Pelissetto and E. Vicari
|
Nonanalyticity of the beta-function and systematic errors in
field-theoretic calculations of critical quantities
|
9 pages
| null |
10.1142/9789812811240_0036
| null |
hep-th
| null |
We consider the fixed-dimension perturbative expansion. We discuss the
nonanalyticity of the renormalization-group functions at the fixed point and
its consequences for the numerical determination of critical quantities.
|
[
{
"created": "Wed, 25 Oct 2000 10:45:04 GMT",
"version": "v1"
}
] |
2016-11-23
|
[
[
"Caselle",
"M.",
""
],
[
"Pelissetto",
"A.",
""
],
[
"Vicari",
"E.",
""
]
] |
We consider the fixed-dimension perturbative expansion. We discuss the nonanalyticity of the renormalization-group functions at the fixed point and its consequences for the numerical determination of critical quantities.
| 12.663294
| 10.77973
| 10.957711
| 11.758958
| 11.445341
| 11.311293
| 13.335827
| 11.678671
| 10.834892
| 11.422581
| 9.723876
| 11.570406
| 11.498816
| 10.526995
| 12.114639
| 11.456568
| 11.57588
| 10.828085
| 11.207266
| 11.00712
| 10.921164
|
2003.06618
|
John Gracey
|
J.A. Gracey
|
Six dimensional ultraviolet completion of the $CP(N)$ $\sigma$ model at
two loops
|
11 latex pages, minor changes and several references added
| null |
10.1142/S0217732320501886
|
LTH 1232
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We extend the recent one loop analysis of the ultraviolet completion of the
$CP(N)$ nonlinear $\sigma$ model in six dimensions to two loop order in the
MSbar scheme for an arbitrary covariant gauge. In particular we compute the
anomalous dimensions of the fields and $\beta$-functions of the four coupling
constants. We note that like Quantum Electrodynamics (QED) in four dimensions
the matter field anomalous dimension only depends on the gauge parameter at one
loop. As a non-trivial check we verify that the critical exponents derived from
these renormalization group functions at the Wilson-Fisher fixed point are
consistent with the $\epsilon$ expansion of the respective large $N$ exponents
of the underlying universal theory. Using the Ward-Takahashi identity we deduce
the three loop MSbar renormalization group functions for the six dimensional
ultraviolet completeness of scalar QED.
|
[
{
"created": "Sat, 14 Mar 2020 12:30:54 GMT",
"version": "v1"
},
{
"created": "Mon, 4 May 2020 13:43:07 GMT",
"version": "v2"
}
] |
2020-08-26
|
[
[
"Gracey",
"J. A.",
""
]
] |
We extend the recent one loop analysis of the ultraviolet completion of the $CP(N)$ nonlinear $\sigma$ model in six dimensions to two loop order in the MSbar scheme for an arbitrary covariant gauge. In particular we compute the anomalous dimensions of the fields and $\beta$-functions of the four coupling constants. We note that like Quantum Electrodynamics (QED) in four dimensions the matter field anomalous dimension only depends on the gauge parameter at one loop. As a non-trivial check we verify that the critical exponents derived from these renormalization group functions at the Wilson-Fisher fixed point are consistent with the $\epsilon$ expansion of the respective large $N$ exponents of the underlying universal theory. Using the Ward-Takahashi identity we deduce the three loop MSbar renormalization group functions for the six dimensional ultraviolet completeness of scalar QED.
| 8.508824
| 7.855659
| 8.717203
| 7.644899
| 7.976162
| 7.66823
| 7.581252
| 7.731092
| 7.413013
| 8.445847
| 7.687656
| 7.859704
| 8.010864
| 7.610534
| 7.839266
| 7.619278
| 7.860079
| 7.809748
| 7.68562
| 7.932683
| 7.489874
|
hep-th/0612146
|
Erick J. Weinberg
|
Erick J. Weinberg
|
Hawking-Moss bounces and vacuum decay rates
|
4 pages, 2 figures; title changed, clarifications in text, typos
corrected, references added; version to appear in journal
|
Phys.Rev.Lett.98:251303,2007
|
10.1103/PhysRevLett.98.251303
|
CU-TP-1171, KIAS-P06062
|
hep-th gr-qc
| null |
The conventional interpretation of the Hawking-Moss (HM) solution implies a
transition rate between vacua that depends only on the values of the potential
in the initial vacuum and at the top of a potential barrier, leading to the
implausible conclusion that transitions to distant vacua can be as likely as
those to a nearby one. I analyze this issue using a nongravitational example
with analogous properties. I show that such HM bounce do not give reliable rate
calculations, but are instead related to the probability of finding a
quasistable configuration at a local potential maximum.
|
[
{
"created": "Thu, 14 Dec 2006 10:01:28 GMT",
"version": "v1"
},
{
"created": "Mon, 21 May 2007 00:09:23 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Weinberg",
"Erick J.",
""
]
] |
The conventional interpretation of the Hawking-Moss (HM) solution implies a transition rate between vacua that depends only on the values of the potential in the initial vacuum and at the top of a potential barrier, leading to the implausible conclusion that transitions to distant vacua can be as likely as those to a nearby one. I analyze this issue using a nongravitational example with analogous properties. I show that such HM bounce do not give reliable rate calculations, but are instead related to the probability of finding a quasistable configuration at a local potential maximum.
| 13.139056
| 14.026448
| 13.376598
| 11.884984
| 13.099645
| 14.291613
| 14.176631
| 12.439387
| 12.914123
| 13.150449
| 12.756087
| 12.855804
| 13.503168
| 13.001375
| 13.067066
| 12.976828
| 13.018255
| 12.166512
| 13.075297
| 13.05724
| 12.75887
|
hep-th/9912106
|
Martin Cederwall
|
Martin Cederwall, Ulf Gran, Mikkel Nielsen, Bengt E.W. Nilsson
|
(p,q) 5-Branes in Non-Zero B-Field
|
plain tex, 18 pp
|
JHEP 0001 (2000) 037
|
10.1088/1126-6708/2000/01/037
|
Goteborg-ITP-99-18
|
hep-th
| null |
We consider type IIB (p,q) 5-branes in constant non-zero background tensor
potentials, or equivalently, with finite constant field strength on the brane.
At linear level, zero-modes are introduced and the physical degrees of freedom
are found to be parametrised by a real 2- or 4-form field strength on the
brane. An exact, SL(2;Z)-covariant solution to the full non-linear supergravity
equations is then constructed. The resulting metric space-times are analysed,
with special emphasis on the limiting cases with maximal values of the tensor.
The analysis provides an answer to how the various background tensor fields are
related to Born-Infeld degrees of freedom and to non-commutativity parameters.
|
[
{
"created": "Mon, 13 Dec 1999 17:14:11 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Cederwall",
"Martin",
""
],
[
"Gran",
"Ulf",
""
],
[
"Nielsen",
"Mikkel",
""
],
[
"Nilsson",
"Bengt E. W.",
""
]
] |
We consider type IIB (p,q) 5-branes in constant non-zero background tensor potentials, or equivalently, with finite constant field strength on the brane. At linear level, zero-modes are introduced and the physical degrees of freedom are found to be parametrised by a real 2- or 4-form field strength on the brane. An exact, SL(2;Z)-covariant solution to the full non-linear supergravity equations is then constructed. The resulting metric space-times are analysed, with special emphasis on the limiting cases with maximal values of the tensor. The analysis provides an answer to how the various background tensor fields are related to Born-Infeld degrees of freedom and to non-commutativity parameters.
| 12.064581
| 11.806361
| 13.338704
| 11.95666
| 12.791616
| 13.261292
| 13.072647
| 12.022386
| 12.252313
| 15.21919
| 11.970705
| 11.726154
| 12.94945
| 11.701149
| 12.085608
| 12.398523
| 12.12834
| 12.199829
| 12.241494
| 13.067587
| 12.006248
|
hep-th/9403192
|
Clifford Johnson
|
Clifford V Johnson
|
Exact Models of Extremal Dyonic 4D Black Hole Solutions of Heterotic
String Theory
|
42 pages (Plain TEX), IASSNS-HEP-94/20 (Revised version has minor
corrections, references and a note added and is now identical to published
version in Phys Rev D.)
|
Phys. Rev. D 50, 4032 (1994)
|
10.1103/PhysRevD.50.4032
| null |
hep-th
| null |
Families of exact $(0,2)$ supersymmetric conformal field theories of
magnetically and electrically charged extremal 4D black hole solutions of
heterotic string theory are presented. They are constructed using a $(0,1)$
supersymmetric $SL(2,R)\times SU(2)$ WZW model where anomalously embedded
$U(1)\times U(1)$ subgroups are gauged. Crucial cancelations of the $U(1)$
anomalies coming from the supersymmetric fermions, the current algebra fermions
and the gauging ensure that there is a consistency of these models at the
quantum level. Various 2D models, which may be considered as building blocks
for extremal 4D constructions, are presented. They generalise the class of 2D
models which might be obtained from gauging $SL(2,R)$ and coincide with known
heterotic string backgrounds. The exact conformal field theory presented by
Giddings, Polchinski and Strominger describing the angular sector of the
extremal magnetically charged black hole is a special case of this
construction. An example where the radial and angular theories are mixed
non--trivially is studied in detail, resulting in an extremal dilatonic
Taub--NUT--like dyon.
|
[
{
"created": "Thu, 31 Mar 1994 15:53:16 GMT",
"version": "v1"
},
{
"created": "Sun, 26 Jun 1994 20:23:23 GMT",
"version": "v2"
}
] |
2013-11-13
|
[
[
"Johnson",
"Clifford V",
""
]
] |
Families of exact $(0,2)$ supersymmetric conformal field theories of magnetically and electrically charged extremal 4D black hole solutions of heterotic string theory are presented. They are constructed using a $(0,1)$ supersymmetric $SL(2,R)\times SU(2)$ WZW model where anomalously embedded $U(1)\times U(1)$ subgroups are gauged. Crucial cancelations of the $U(1)$ anomalies coming from the supersymmetric fermions, the current algebra fermions and the gauging ensure that there is a consistency of these models at the quantum level. Various 2D models, which may be considered as building blocks for extremal 4D constructions, are presented. They generalise the class of 2D models which might be obtained from gauging $SL(2,R)$ and coincide with known heterotic string backgrounds. The exact conformal field theory presented by Giddings, Polchinski and Strominger describing the angular sector of the extremal magnetically charged black hole is a special case of this construction. An example where the radial and angular theories are mixed non--trivially is studied in detail, resulting in an extremal dilatonic Taub--NUT--like dyon.
| 9.422731
| 9.051663
| 9.199318
| 8.485677
| 8.856837
| 8.795598
| 8.991621
| 8.717509
| 8.79211
| 9.889988
| 8.200378
| 8.527443
| 8.800163
| 8.784452
| 8.250203
| 8.753753
| 8.421875
| 8.490632
| 8.563648
| 8.769285
| 8.721444
|
hep-th/9604154
|
Albert Yu. Petrov
|
I.L.Buchbinder and A.Yu.Petrov (Department of Theoretical Physics
Tomsk State Pedagogical Institute Tomsk, Russia)
|
On quantum model of supergravity compensator
|
LaTeX, 9 pages
|
Mod.Phys.Lett. A11 (1996) 2159-2162
|
10.1142/S0217732396002149
|
TSPU-TH4/96
|
hep-th
| null |
A new $N=1$ superfield model in $D=4$ flat superspace is suggested. This
model describes dynamics of chiral compensator and can be treated as a
low-energy limit of $D=4$, $N=1$ quantum superfield supergravity.
Renormalization structure of this model is studied and one-loop counterterms
are calculated. It is shown that the theory is infrared free. An effective
action for the model under consideration is investigated in infrared domain.
The lower contributions to the one-loop effective action are computed in
explicit form.
|
[
{
"created": "Thu, 25 Apr 1996 05:17:58 GMT",
"version": "v1"
},
{
"created": "Sat, 4 May 1996 03:19:21 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Buchbinder",
"I. L.",
"",
"Department of Theoretical Physics\n Tomsk State Pedagogical Institute Tomsk, Russia"
],
[
"Petrov",
"A. Yu.",
"",
"Department of Theoretical Physics\n Tomsk State Pedagogical Institute Tomsk, Russia"
]
] |
A new $N=1$ superfield model in $D=4$ flat superspace is suggested. This model describes dynamics of chiral compensator and can be treated as a low-energy limit of $D=4$, $N=1$ quantum superfield supergravity. Renormalization structure of this model is studied and one-loop counterterms are calculated. It is shown that the theory is infrared free. An effective action for the model under consideration is investigated in infrared domain. The lower contributions to the one-loop effective action are computed in explicit form.
| 7.790107
| 5.457379
| 7.671931
| 6.422037
| 7.308632
| 6.420651
| 6.429631
| 6.322303
| 6.17048
| 8.782162
| 6.226118
| 6.595807
| 7.168298
| 6.800012
| 6.81914
| 6.829153
| 6.612548
| 6.808143
| 6.496794
| 7.086226
| 6.764707
|
1812.03369
|
Fei Teng
|
Song He, Fei Teng and Yong Zhang
|
String amplitudes from field-theory amplitudes and vice versa
|
11 pages, 2 figures; v2: more references added and several typos
corrected; v3: matching the journal version
|
Phys. Rev. Lett. 122, 211603 (2019)
|
10.1103/PhysRevLett.122.211603
|
UUITP-58/18
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present an integration-by-parts reduction of any massless tree-level
string correlator to an equivalence class of logarithmic functions, which can
be used to define a field-theory amplitude via a Cachazo-He-Yuan (CHY) formula.
The string amplitude is then shown to be the double copy of the field-theory
one and a special disk/sphere integral. The construction is generic as it
applies to any correlator that is a rational function of correct SL(2) weight.
By applying the reduction to open bosonic/heterotic strings, we get a
closed-form CHY integrand for the $(DF)^2+\text{YM}+\phi^3$ theory.
|
[
{
"created": "Sat, 8 Dec 2018 19:04:49 GMT",
"version": "v1"
},
{
"created": "Sun, 23 Dec 2018 13:30:43 GMT",
"version": "v2"
},
{
"created": "Fri, 21 Jun 2019 08:06:33 GMT",
"version": "v3"
}
] |
2019-06-24
|
[
[
"He",
"Song",
""
],
[
"Teng",
"Fei",
""
],
[
"Zhang",
"Yong",
""
]
] |
We present an integration-by-parts reduction of any massless tree-level string correlator to an equivalence class of logarithmic functions, which can be used to define a field-theory amplitude via a Cachazo-He-Yuan (CHY) formula. The string amplitude is then shown to be the double copy of the field-theory one and a special disk/sphere integral. The construction is generic as it applies to any correlator that is a rational function of correct SL(2) weight. By applying the reduction to open bosonic/heterotic strings, we get a closed-form CHY integrand for the $(DF)^2+\text{YM}+\phi^3$ theory.
| 12.430894
| 11.58319
| 17.12937
| 11.587737
| 10.777669
| 11.624727
| 10.645856
| 11.699227
| 11.30086
| 16.70928
| 11.138659
| 11.065021
| 12.536433
| 11.107999
| 10.563158
| 10.728091
| 10.820294
| 10.883502
| 11.397611
| 12.610424
| 10.923455
|
1205.5079
|
Ehsan Hatefi
|
Ehsan Hatefi, I. Y. Park
|
Universality in all-order $\alpha'$ corrections to BPS/non-BPS brane
world volume theories
|
29 pages, 4figures, Refs and some applications for higher derivative
corrections have been added. Version to appear in NPB
|
Nucl.Phys. B 864 (2012) 640-663
|
10.1016/j.nuclphysb.2012.07.010
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Knowledge of all-$\alpha'$ higher derivative corrections to leading order BPS
and non-BPS brane actions would serve in future endeavor of determining the
complete form of the non-abelian BPS and tachyonic effective actions. In this
paper, we note that there is a universality in the all-$\alpha'$ order
corrections to BPS and non-BPS branes. We compute amplitudes between one
Ramond-Ramond $C$-field vertex operator and several SYM gauge/scalar vertex
operators. Specifically, we evaluate in closed form string correlators of
two-point amplitudes $\cal A^{C\phi}$, $\cal A^{CA}$, a three-point amplitude
$\cal A^{C\phi\phi}$ and a four-point amplitude $\cal A^{C\phi\phi\phi}$. We
carry out pole and contact term analysis. In particular we reproduce some of
the contact terms and the infinite massless poles of $\cal A^{C\phi\phi\phi}$
by SYM vertices obtained through the universality.
|
[
{
"created": "Wed, 23 May 2012 00:56:22 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Jul 2012 13:17:21 GMT",
"version": "v2"
}
] |
2012-08-03
|
[
[
"Hatefi",
"Ehsan",
""
],
[
"Park",
"I. Y.",
""
]
] |
Knowledge of all-$\alpha'$ higher derivative corrections to leading order BPS and non-BPS brane actions would serve in future endeavor of determining the complete form of the non-abelian BPS and tachyonic effective actions. In this paper, we note that there is a universality in the all-$\alpha'$ order corrections to BPS and non-BPS branes. We compute amplitudes between one Ramond-Ramond $C$-field vertex operator and several SYM gauge/scalar vertex operators. Specifically, we evaluate in closed form string correlators of two-point amplitudes $\cal A^{C\phi}$, $\cal A^{CA}$, a three-point amplitude $\cal A^{C\phi\phi}$ and a four-point amplitude $\cal A^{C\phi\phi\phi}$. We carry out pole and contact term analysis. In particular we reproduce some of the contact terms and the infinite massless poles of $\cal A^{C\phi\phi\phi}$ by SYM vertices obtained through the universality.
| 9.107234
| 9.615783
| 9.979593
| 8.773242
| 9.545985
| 9.575904
| 9.236349
| 8.984866
| 9.144352
| 10.978629
| 8.889459
| 8.501864
| 8.533946
| 8.791279
| 8.821127
| 8.801022
| 8.885759
| 9.041625
| 8.723967
| 8.636157
| 8.894116
|
1607.00793
|
Yubo Ma
|
Yu-Bo Ma, Ren Zhao, Shuo Cao
|
$Q-\Phi$ criticality in the extended phase space of $(n+1)$-dimensional
RN-AdS black holes
|
10 pages, 26 figures
|
Eur. Phys. J. C (2016) 76:669
|
10.1140/epjc/s10052-016-4532-8
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In order to achieve a deeper understanding of gravity theories, it is
important to further investigate the thermodynamic properties of black hole at
the critical point, besides the phase transition and critical behaviors. In
this paper, by using Maxwell's equal area law, we choose $T,Q,\Phi$ as the
state parameters and study the phase equilibrium problem of general
$(n+1)$-dimensional RN-AdS black holes thermodynamic system. The boundary of
the two-phase coexistence region and its isotherm and isopotential lines are
presented, which may provide theoretical foundation for studying the phase
transition and phase structure of black hole systems.
|
[
{
"created": "Mon, 4 Jul 2016 09:29:36 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Dec 2016 03:37:03 GMT",
"version": "v2"
}
] |
2018-01-08
|
[
[
"Ma",
"Yu-Bo",
""
],
[
"Zhao",
"Ren",
""
],
[
"Cao",
"Shuo",
""
]
] |
In order to achieve a deeper understanding of gravity theories, it is important to further investigate the thermodynamic properties of black hole at the critical point, besides the phase transition and critical behaviors. In this paper, by using Maxwell's equal area law, we choose $T,Q,\Phi$ as the state parameters and study the phase equilibrium problem of general $(n+1)$-dimensional RN-AdS black holes thermodynamic system. The boundary of the two-phase coexistence region and its isotherm and isopotential lines are presented, which may provide theoretical foundation for studying the phase transition and phase structure of black hole systems.
| 8.581417
| 7.972637
| 7.808964
| 7.080658
| 8.038592
| 7.651945
| 9.141534
| 8.22891
| 7.882763
| 8.058677
| 7.949442
| 8.226607
| 8.385539
| 7.716464
| 8.472193
| 8.036847
| 8.287564
| 8.010641
| 8.053368
| 8.186813
| 8.145839
|
1101.0618
|
Jorge Casalderrey-Solana
|
Jorge Casalderrey-Solana, Hong Liu, David Mateos, Krishna Rajagopal
and Urs Achim Wiedemann
|
Gauge/String Duality, Hot QCD and Heavy Ion Collisions
|
294 pages, 72 figures. v2: various small clarifications, in many
cases prompted by helpful suggestions from readers; references added. A more
substantially updated version of this review will appear as a book published
by Cambridge University Press
| null | null |
CERN-PH-TH/2010-316, MIT-CTP-4198, ICCUB-10-202
|
hep-th cond-mat.str-el hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Over the last decade, both experimental and theoretical advances have brought
the need for strong coupling techniques in the analysis of deconfined QCD
matter and heavy ion collisions to the forefront. As a consequence, a fruitful
interplay has developed between analyses of strongly-coupled non-abelian
plasmas via the gauge/string duality (also referred to as the AdS/CFT
correspondence) and the phenomenology of heavy ion collisions. We review some
of the main insights gained from this interplay to date. To establish a common
language, we start with an introduction to heavy ion phenomenology and
finite-temperature QCD, and a corresponding introduction to important concepts
and techniques in the gauge/string duality. These introductory sections are
written for nonspecialists, with the goal of bringing readers ranging from
beginning graduate students to experienced practitioners of either QCD or
gauge/string duality to the point that they understand enough about both fields
that they can then appreciate their interplay in all appropriate contexts. We
then review the current state-of-the art in the application of the duality to
the description of the dynamics of strongly coupled plasmas, with emphases that
include: its thermodynamic, hydrodynamic and transport properties; the way it
both modifies the dynamics of, and is perturbed by, high-energy or heavy quarks
passing through it; and the physics of quarkonium mesons within it. We seek
throughout to stress the lessons that can be extracted from these computations
for heavy ion physics as well as to discuss future directions and open problems
for the field.
|
[
{
"created": "Mon, 3 Jan 2011 21:50:33 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Aug 2012 13:43:56 GMT",
"version": "v2"
}
] |
2012-08-09
|
[
[
"Casalderrey-Solana",
"Jorge",
""
],
[
"Liu",
"Hong",
""
],
[
"Mateos",
"David",
""
],
[
"Rajagopal",
"Krishna",
""
],
[
"Wiedemann",
"Urs Achim",
""
]
] |
Over the last decade, both experimental and theoretical advances have brought the need for strong coupling techniques in the analysis of deconfined QCD matter and heavy ion collisions to the forefront. As a consequence, a fruitful interplay has developed between analyses of strongly-coupled non-abelian plasmas via the gauge/string duality (also referred to as the AdS/CFT correspondence) and the phenomenology of heavy ion collisions. We review some of the main insights gained from this interplay to date. To establish a common language, we start with an introduction to heavy ion phenomenology and finite-temperature QCD, and a corresponding introduction to important concepts and techniques in the gauge/string duality. These introductory sections are written for nonspecialists, with the goal of bringing readers ranging from beginning graduate students to experienced practitioners of either QCD or gauge/string duality to the point that they understand enough about both fields that they can then appreciate their interplay in all appropriate contexts. We then review the current state-of-the art in the application of the duality to the description of the dynamics of strongly coupled plasmas, with emphases that include: its thermodynamic, hydrodynamic and transport properties; the way it both modifies the dynamics of, and is perturbed by, high-energy or heavy quarks passing through it; and the physics of quarkonium mesons within it. We seek throughout to stress the lessons that can be extracted from these computations for heavy ion physics as well as to discuss future directions and open problems for the field.
| 6.971799
| 7.226385
| 6.903608
| 6.593952
| 7.122729
| 7.346457
| 7.166969
| 7.520571
| 6.801638
| 7.210863
| 6.813056
| 6.680852
| 6.649792
| 6.564934
| 6.551626
| 6.754001
| 6.509067
| 6.726956
| 6.532225
| 6.629099
| 6.661498
|
hep-th/0010117
|
Emery Sokatchev
|
Sergio Ferrara and Emery Sokatchev
|
Representations of superconformal algebras in the AdS_7/4/CFT_6/3
correspondence
|
To appear in the proceedings of Strings 2000
|
J.Math.Phys. 42 (2001) 3015-3026
|
10.1063/1.1374451
| null |
hep-th
| null |
We perform a general analysis of representations of the superconformal
algebras OSp(8/4,R) and OSp(8*/2N) in harmonic superspace. We present a
construction of their highest-weight UIR's by multiplication of the different
types of massless conformal superfields ("supersingletons"). In particular, all
"short multiplets" are classified. Representations undergoing shortening have
"protected dimension" and may correspond to BPS states in the dual supergravity
theory in anti-de Sitter space. These results are relevant for the
classification of multitrace operators in boundary conformally invariant
theories as well as for the classification of AdS black holes preserving
different fractions of supersymmetry.
|
[
{
"created": "Sun, 15 Oct 2000 13:04:39 GMT",
"version": "v1"
}
] |
2015-06-25
|
[
[
"Ferrara",
"Sergio",
""
],
[
"Sokatchev",
"Emery",
""
]
] |
We perform a general analysis of representations of the superconformal algebras OSp(8/4,R) and OSp(8*/2N) in harmonic superspace. We present a construction of their highest-weight UIR's by multiplication of the different types of massless conformal superfields ("supersingletons"). In particular, all "short multiplets" are classified. Representations undergoing shortening have "protected dimension" and may correspond to BPS states in the dual supergravity theory in anti-de Sitter space. These results are relevant for the classification of multitrace operators in boundary conformally invariant theories as well as for the classification of AdS black holes preserving different fractions of supersymmetry.
| 10.212566
| 3.972555
| 12.271979
| 6.554342
| 6.011157
| 5.762826
| 5.913017
| 5.660094
| 6.324964
| 13.541492
| 6.594139
| 8.235448
| 10.064041
| 8.94479
| 8.47682
| 9.0053
| 8.74205
| 8.687907
| 8.774816
| 10.902625
| 8.759922
|
2002.01764
|
Nicol\`o Petri
|
Giuseppe Dibitetto, Nicol\`o Petri and Marjorie Schillo
|
Nothing really matters
|
22 pages, 2 appendices
| null |
10.1007/JHEP08(2020)040
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study non-perturbative instabilities of AdS spacetime in General
Relativity with a cosmological constant in arbitrary dimensions. In this simple
setup we explicitly construct a class of gravitational instantons generalizing
Witten's bubble of nothing. We calculate the corresponding Euclidean action and
show that its change is finite. The expansion of these bubbles is described by
a lower-dimensional de Sitter geometry within a non-compact foliation of the
background spacetime. Moreover we discuss the existence of covariantly constant
spinors as a possible topological obstruction for such decays to occur. This
mechanism is further connected to the stability of supersymmetric vacua in
string theory.
|
[
{
"created": "Wed, 5 Feb 2020 12:55:12 GMT",
"version": "v1"
}
] |
2020-08-26
|
[
[
"Dibitetto",
"Giuseppe",
""
],
[
"Petri",
"Nicolò",
""
],
[
"Schillo",
"Marjorie",
""
]
] |
We study non-perturbative instabilities of AdS spacetime in General Relativity with a cosmological constant in arbitrary dimensions. In this simple setup we explicitly construct a class of gravitational instantons generalizing Witten's bubble of nothing. We calculate the corresponding Euclidean action and show that its change is finite. The expansion of these bubbles is described by a lower-dimensional de Sitter geometry within a non-compact foliation of the background spacetime. Moreover we discuss the existence of covariantly constant spinors as a possible topological obstruction for such decays to occur. This mechanism is further connected to the stability of supersymmetric vacua in string theory.
| 9.240565
| 8.884429
| 10.05162
| 9.113174
| 9.356572
| 9.38072
| 8.882434
| 9.308287
| 8.713822
| 10.796834
| 9.265337
| 8.907648
| 9.502181
| 8.994016
| 8.898159
| 8.970594
| 8.650921
| 9.030841
| 9.134438
| 9.537024
| 9.011601
|
1402.1994
|
Christopher Pope
|
H. Lu, Y. Pang and C.N. Pope
|
An $\omega$ Deformation of Gauged STU Supergravity
|
31 pages. Derivation of the range of \omega corrected; discussion of
supersymmetry of solutions extended, and a reference added
|
JHEP 1404:175,2014
|
10.1007/JHEP04(2014)175
|
MIFPA-14-04
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Four-dimensional ${\cal N}=2$ gauged STU supergravity is a consistent
truncation of the standard ${\cal N}=8$ gauged $SO(8)$ supergravity in which
just the four $U(1)$ gauge fields in the Cartan subgroup of $SO(8)$ are
retained. One of these is the graviphoton in the ${\cal N}=2$ supergravity
multiplet and the other three lie in three vector multiplets. In this paper we
carry out the analogous consistent truncation of the newly-discovered family of
$\omega$-deformed ${\cal N}=8$ gauged $SO(8)$ supergravities, thereby obtaining
a family of $\omega$-deformed STU gauged supergravities. Unlike in some other
truncations of the deformed ${\cal N}=8$ supergravity that have been
considered, here the scalar potential of the deformed STU theory is independent
of the $\omega$ parameter. However, it enters in the scalar couplings in the
gauge-field kinetic terms, and it is non-trivial because of the minimal
couplings of the fermion fields to the gauge potentials. We discuss the
supersymmetry transformation rules in the $\omega$-deformed supergravities, and
present some examples of black hole solutions.
|
[
{
"created": "Sun, 9 Feb 2014 21:50:04 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Feb 2014 14:41:52 GMT",
"version": "v2"
},
{
"created": "Wed, 9 Apr 2014 16:42:14 GMT",
"version": "v3"
}
] |
2014-05-01
|
[
[
"Lu",
"H.",
""
],
[
"Pang",
"Y.",
""
],
[
"Pope",
"C. N.",
""
]
] |
Four-dimensional ${\cal N}=2$ gauged STU supergravity is a consistent truncation of the standard ${\cal N}=8$ gauged $SO(8)$ supergravity in which just the four $U(1)$ gauge fields in the Cartan subgroup of $SO(8)$ are retained. One of these is the graviphoton in the ${\cal N}=2$ supergravity multiplet and the other three lie in three vector multiplets. In this paper we carry out the analogous consistent truncation of the newly-discovered family of $\omega$-deformed ${\cal N}=8$ gauged $SO(8)$ supergravities, thereby obtaining a family of $\omega$-deformed STU gauged supergravities. Unlike in some other truncations of the deformed ${\cal N}=8$ supergravity that have been considered, here the scalar potential of the deformed STU theory is independent of the $\omega$ parameter. However, it enters in the scalar couplings in the gauge-field kinetic terms, and it is non-trivial because of the minimal couplings of the fermion fields to the gauge potentials. We discuss the supersymmetry transformation rules in the $\omega$-deformed supergravities, and present some examples of black hole solutions.
| 4.351235
| 4.240987
| 4.622443
| 4.081518
| 4.202955
| 4.307462
| 4.213845
| 4.445186
| 4.025607
| 5.145727
| 4.163212
| 4.181553
| 4.225655
| 4.013057
| 4.095985
| 3.941127
| 3.978562
| 4.152924
| 4.063441
| 4.349708
| 4.12156
|
2404.11805
|
Gabriel Gracia G.B. de Gracia
|
G.B. de Gracia, A.A. Nogueira
|
Covariant operator formalism for higher derivative systems: Vector
spin-$0$ dual model as a prelude to generalized QED$_4$
| null | null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
In this work we extend the Kugo-Ojima-Nakanishi covariant operator formalism
to quantize two higher derivative systems, considering their extended phase
space structures. More specifically, the one describing spin-$0$ particles by a
vector field and the generalized electrodynamics. We investigate the commutator
structure of these theories and present the definition of their physical
Hilbert subspaces. Remarkably, the correspondence principle demands a higher
derivative structure for the auxiliary field Lagrangian. The first model
presents a reducible gauge symmetry implying the necessity of two sets of
auxiliary fields. The massless limit is also carefully analyzed. For the case
of the generalized QED$_4$, we derive a set of suitable definitions for the
physical Hilbert subspace to eliminate contributions from spurious modes and
the problematic negative norm transverse excitations. However, preliminary
discussions on the interacting regime are also developed to show that, in this
case, the states with transverse ghost modes can be produced from ghost-free
initial ones, meaning that they cannot be decoupled. Additionally, we reveal
the very source of renormalization improvements in these kinds of theories and
also establish a suitable specific interacting model compatible with a
time-invariant positive norm subspace.
|
[
{
"created": "Wed, 17 Apr 2024 23:53:19 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Jun 2024 22:56:47 GMT",
"version": "v2"
}
] |
2024-07-02
|
[
[
"de Gracia",
"G. B.",
""
],
[
"Nogueira",
"A. A.",
""
]
] |
In this work we extend the Kugo-Ojima-Nakanishi covariant operator formalism to quantize two higher derivative systems, considering their extended phase space structures. More specifically, the one describing spin-$0$ particles by a vector field and the generalized electrodynamics. We investigate the commutator structure of these theories and present the definition of their physical Hilbert subspaces. Remarkably, the correspondence principle demands a higher derivative structure for the auxiliary field Lagrangian. The first model presents a reducible gauge symmetry implying the necessity of two sets of auxiliary fields. The massless limit is also carefully analyzed. For the case of the generalized QED$_4$, we derive a set of suitable definitions for the physical Hilbert subspace to eliminate contributions from spurious modes and the problematic negative norm transverse excitations. However, preliminary discussions on the interacting regime are also developed to show that, in this case, the states with transverse ghost modes can be produced from ghost-free initial ones, meaning that they cannot be decoupled. Additionally, we reveal the very source of renormalization improvements in these kinds of theories and also establish a suitable specific interacting model compatible with a time-invariant positive norm subspace.
| 19.30518
| 19.379744
| 20.246868
| 18.944399
| 20.355312
| 21.14344
| 19.874828
| 19.292292
| 19.249994
| 22.297642
| 18.910946
| 18.721733
| 19.113865
| 18.408852
| 19.46052
| 18.00984
| 18.869259
| 18.844524
| 18.417192
| 18.998188
| 18.143906
|
1111.5076
|
Konstantin G. Savvidy
|
Konstantin G. Savvidy
|
Quantum electrodynamics of spin 3/2, II
|
27 pages, 1 figure
| null | null |
NITS-PHY-2011007
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Electromagnetic interactions of the spin 3/2 particle are investigated while
allowing the propagation of the transverse spin 1/2 component present in the
reducible Rarita-Schwinger vector-spinor. This is done by allowing a more
general form for the mass term, while leaving the kinetic terms untouched. We
find that the interaction is consistent and does not lead to superluminal
propagation for a range of the mass of the spin 1/2 particle, except for the
special point where the spin 1/2 particle is infinitely massive. We then
quantize the theory using the appropriate Grassmann-variable path integral and
study the poles of the propagator. The unfamiliar feature of the theory is that
the charge matrix is not positive definite; it is positive definite on the
space of spin 3/2 solutions, and negative definite on the space of spin 1/2
solutions. Classically, for spin 1/2 modes the energy is of the opposite sign
to frequency, i.e. the positive frequency modes have negative energy. It is
found that the retarded part appropriately propagates the positive energy
solutions forward in time, while the advanced part propagates the negative
energy solutions back in time so long as the free parameter is chosen such that
the positive frequency modes have the same parity. The propagator contains
poles of the spin 1/2 modes above the real axis for the positive and below the
real axis for the negative frequency modes, while the residues at those poles
are also of the sign opposite to the usual; altogether this leads to a unitary
S-matrix, the forward amplitude <p|p> being positive for all modes. The
canonically quantized field is causal, and the equal-time anti-commutator has
positive definite form. We choose the physical vacuum as the highest-weight
state with respect to the spin 1/2 operators in order to have positive energy,
and to correctly reproduce both the unusual residues and locations of the
poles.
|
[
{
"created": "Tue, 22 Nov 2011 02:53:16 GMT",
"version": "v1"
}
] |
2011-11-23
|
[
[
"Savvidy",
"Konstantin G.",
""
]
] |
Electromagnetic interactions of the spin 3/2 particle are investigated while allowing the propagation of the transverse spin 1/2 component present in the reducible Rarita-Schwinger vector-spinor. This is done by allowing a more general form for the mass term, while leaving the kinetic terms untouched. We find that the interaction is consistent and does not lead to superluminal propagation for a range of the mass of the spin 1/2 particle, except for the special point where the spin 1/2 particle is infinitely massive. We then quantize the theory using the appropriate Grassmann-variable path integral and study the poles of the propagator. The unfamiliar feature of the theory is that the charge matrix is not positive definite; it is positive definite on the space of spin 3/2 solutions, and negative definite on the space of spin 1/2 solutions. Classically, for spin 1/2 modes the energy is of the opposite sign to frequency, i.e. the positive frequency modes have negative energy. It is found that the retarded part appropriately propagates the positive energy solutions forward in time, while the advanced part propagates the negative energy solutions back in time so long as the free parameter is chosen such that the positive frequency modes have the same parity. The propagator contains poles of the spin 1/2 modes above the real axis for the positive and below the real axis for the negative frequency modes, while the residues at those poles are also of the sign opposite to the usual; altogether this leads to a unitary S-matrix, the forward amplitude <p|p> being positive for all modes. The canonically quantized field is causal, and the equal-time anti-commutator has positive definite form. We choose the physical vacuum as the highest-weight state with respect to the spin 1/2 operators in order to have positive energy, and to correctly reproduce both the unusual residues and locations of the poles.
| 9.426389
| 9.467325
| 10.160567
| 8.959032
| 9.551301
| 9.265834
| 9.467433
| 9.192037
| 9.037035
| 9.908898
| 9.127221
| 9.413045
| 9.58313
| 9.249221
| 9.317549
| 9.301729
| 9.406159
| 9.365488
| 9.343664
| 9.470589
| 9.247149
|
2402.17441
|
Kilar Zhang
|
Xian-Hui Ge, Masataka Matsumoto and Kilar Zhang
|
Duality between Seiberg-Witten Theory and Black Hole Superradiance
|
20 pages, 3 tables, 1 figure
| null |
10.1007/JHEP05(2024)336
| null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The newly established Seiberg-Witten (SW)/Quasinormal Modes (QNM)
correspondence offers an efficient analytical approach to calculate the QNM
frequencies, which was only available numerically before. This is based on the
fact that both sides are characterized by Heun-type equations. We find that a
similar duality exists between Seiberg-Witten theory and black hole
superradiance, since the latter can also be linked to confluent Heun equation
after proper transformation. Then a dictionary is constructed, with the
superradiance frequencies written in terms of gauge parameters. Further by
instanton counting, and taking care of the boundary conditions through
connection formula, the relating frequencies are obtained analytically, which
show consistency with known numerical results.
|
[
{
"created": "Tue, 27 Feb 2024 11:54:00 GMT",
"version": "v1"
}
] |
2024-06-05
|
[
[
"Ge",
"Xian-Hui",
""
],
[
"Matsumoto",
"Masataka",
""
],
[
"Zhang",
"Kilar",
""
]
] |
The newly established Seiberg-Witten (SW)/Quasinormal Modes (QNM) correspondence offers an efficient analytical approach to calculate the QNM frequencies, which was only available numerically before. This is based on the fact that both sides are characterized by Heun-type equations. We find that a similar duality exists between Seiberg-Witten theory and black hole superradiance, since the latter can also be linked to confluent Heun equation after proper transformation. Then a dictionary is constructed, with the superradiance frequencies written in terms of gauge parameters. Further by instanton counting, and taking care of the boundary conditions through connection formula, the relating frequencies are obtained analytically, which show consistency with known numerical results.
| 14.490561
| 14.729792
| 14.944029
| 14.936122
| 16.06481
| 14.664014
| 14.870028
| 14.998897
| 15.779213
| 17.424761
| 13.575623
| 14.022165
| 14.711428
| 14.514215
| 13.996063
| 13.658028
| 14.207928
| 14.367289
| 14.236851
| 14.778024
| 13.958274
|
hep-th/0407249
|
Anton Kapustin
|
Anton Kapustin, Yi Li
|
Topological sigma-models with H-flux and twisted generalized complex
manifolds
|
30 pages, latex. v2: references added
| null | null |
CALT-68-2514
|
hep-th math.AG math.DG
| null |
We study the topological sector of N=2 sigma-models with H-flux. It has been
known for a long time that the target-space geometry of these theories is not
Kahler and can be described in terms of a pair of complex structures, which do
not commute, in general, and are parallel with respect to two different
connections with torsion. Recently an alternative description of this geometry
was found, which involves a pair of commuting twisted generalized complex
structures on the target space. In this paper we define and study the analogues
of A and B-models for N=2 sigma-models with H-flux and show that the results
are naturally expressed in the language of twisted generalized complex
geometry. For example, the space of topological observables is given by the
cohomology of a Lie algebroid associated to one of the two twisted generalized
complex structures. We determine the topological scalar product, which endows
the algebra of observables with the structure of a Frobenius algebra. We also
discuss mirror symmetry for twisted generalized Calabi-Yau manifolds.
|
[
{
"created": "Wed, 28 Jul 2004 18:26:33 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Jan 2005 19:45:16 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Kapustin",
"Anton",
""
],
[
"Li",
"Yi",
""
]
] |
We study the topological sector of N=2 sigma-models with H-flux. It has been known for a long time that the target-space geometry of these theories is not Kahler and can be described in terms of a pair of complex structures, which do not commute, in general, and are parallel with respect to two different connections with torsion. Recently an alternative description of this geometry was found, which involves a pair of commuting twisted generalized complex structures on the target space. In this paper we define and study the analogues of A and B-models for N=2 sigma-models with H-flux and show that the results are naturally expressed in the language of twisted generalized complex geometry. For example, the space of topological observables is given by the cohomology of a Lie algebroid associated to one of the two twisted generalized complex structures. We determine the topological scalar product, which endows the algebra of observables with the structure of a Frobenius algebra. We also discuss mirror symmetry for twisted generalized Calabi-Yau manifolds.
| 5.00563
| 4.86806
| 5.648617
| 4.948352
| 5.019987
| 5.159903
| 5.149265
| 4.505347
| 4.830221
| 5.6448
| 4.726548
| 4.756929
| 5.286848
| 4.91373
| 4.763483
| 4.831175
| 4.784498
| 4.797163
| 4.798801
| 5.194671
| 4.82555
|
hep-th/0006203
|
Ichiro Oda
|
Ichiro Oda
|
Localization of Matters on a String-like Defect
|
15 pages, LaTex 2e, minor corrections (to appear in Phys. Lett. B)
|
Phys.Lett.B496:113-121,2000
|
10.1016/S0370-2693(00)01284-3
|
EDO-EP-30
|
hep-th
| null |
After presenting string-like solutions with a warp factor to Einstein's
equations, we study localization of various spin fields on a string-like defect
in a general space-time dimension from the viewpoint of field theory. It is
shown that spin 0 and 2 fields are localized on a defect with the exponentially
decreasing warp factor. Spin 1 field can be also localized on a defect with the
exponentially decreasing warp factor. On the other hand, spin one-half and
three-half fields can be localized on a defect with the exponentially
increasing warp factor, provided that additional interactions are not
introduced. Thus, some mechanism of localization must be invoked for these
fermionic fields. These results are very similar to those of a domain wall in
five space-time dimensions except the case of spin 1 field.
|
[
{
"created": "Mon, 26 Jun 2000 19:57:25 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Nov 2000 01:36:46 GMT",
"version": "v2"
}
] |
2011-05-05
|
[
[
"Oda",
"Ichiro",
""
]
] |
After presenting string-like solutions with a warp factor to Einstein's equations, we study localization of various spin fields on a string-like defect in a general space-time dimension from the viewpoint of field theory. It is shown that spin 0 and 2 fields are localized on a defect with the exponentially decreasing warp factor. Spin 1 field can be also localized on a defect with the exponentially decreasing warp factor. On the other hand, spin one-half and three-half fields can be localized on a defect with the exponentially increasing warp factor, provided that additional interactions are not introduced. Thus, some mechanism of localization must be invoked for these fermionic fields. These results are very similar to those of a domain wall in five space-time dimensions except the case of spin 1 field.
| 7.745044
| 6.95781
| 7.686518
| 6.406165
| 6.825869
| 6.563078
| 6.370012
| 6.822232
| 6.670746
| 7.425935
| 6.437355
| 6.877334
| 6.996769
| 6.815568
| 6.94137
| 6.903099
| 6.885704
| 6.769952
| 6.853474
| 7.213891
| 6.719519
|
hep-th/0703290
|
Daniel Baumann
|
Daniel Baumann, Kiyotomo Ichiki, Paul J. Steinhardt, and Keitaro
Takahashi
|
Gravitational Wave Spectrum Induced by Primordial Scalar Perturbations
|
19 pages, 5 figures
|
Phys.Rev.D76:084019,2007
|
10.1103/PhysRevD.76.084019
| null |
hep-th astro-ph gr-qc
| null |
We derive the complete spectrum of gravitational waves induced by primordial
scalar perturbations ranging over all observable wavelengths. This
scalar-induced contribution can be computed directly from the observed scalar
perturbations and general relativity and is, in this sense, independent of the
cosmological model for generating the perturbations. The spectrum is
scale-invariant on small scales, but has an interesting scale-dependence on
large and intermediate scales, where scalar-induced gravitational waves do not
redshift and are hence enhanced relative to the background density of the
Universe. This contribution to the tensor spectrum is significantly different
in form from the direct model-dependent primordial tensor spectrum and,
although small in magnitude, it dominates the primordial signal for some
cosmological models. We confirm our analytical results by direct numerical
integration of the equations of motion.
|
[
{
"created": "Fri, 30 Mar 2007 19:41:36 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Baumann",
"Daniel",
""
],
[
"Ichiki",
"Kiyotomo",
""
],
[
"Steinhardt",
"Paul J.",
""
],
[
"Takahashi",
"Keitaro",
""
]
] |
We derive the complete spectrum of gravitational waves induced by primordial scalar perturbations ranging over all observable wavelengths. This scalar-induced contribution can be computed directly from the observed scalar perturbations and general relativity and is, in this sense, independent of the cosmological model for generating the perturbations. The spectrum is scale-invariant on small scales, but has an interesting scale-dependence on large and intermediate scales, where scalar-induced gravitational waves do not redshift and are hence enhanced relative to the background density of the Universe. This contribution to the tensor spectrum is significantly different in form from the direct model-dependent primordial tensor spectrum and, although small in magnitude, it dominates the primordial signal for some cosmological models. We confirm our analytical results by direct numerical integration of the equations of motion.
| 9.141376
| 10.274957
| 9.658018
| 9.322187
| 9.216784
| 9.452456
| 9.817114
| 9.645182
| 8.862331
| 9.954357
| 8.81644
| 8.998857
| 8.937956
| 9.14947
| 9.067178
| 8.85292
| 8.789816
| 8.750691
| 8.649741
| 8.937761
| 8.971477
|
2302.10075
|
Alonzo Rodrigo Diaz Avalos
|
Alonzo R. Diaz Avalos, Alon E. Faraggi, Viktor G. Matyas and Benjamin
Percival
|
Fayet-Iliopoulos D-Term in Non-Supersymmetric Heterotic String Orbifolds
|
11 pages, 1 figure
|
Eur.Phys.J.C 83 (2023) 10, 926
| null |
LTH-1332
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Fayet-Iliopoulos $D$-term is a common feature in $\mathcal{N}=1$ string
vacua that contain an anomalous $U(1)$ gauge symmetry, and arises from a
one--loop diagram in string perturbation theory. The same diagram is generated
in string vacua in which supersymmetry is broken directly at the string scale,
either via spontaneous Scherk-Schwarz breaking, in which case the gravitino
mass is determined by the radius of the circle used in the Scherk-Schwarz
mechanism, or via explicit supersymmetry breaking by the GSO projections. We
analyse the resulting would-be Fayet-Illiopoulos $D$-term in the
non-supersymmetric string vacua and its contribution to the vacuum energy. A
numerical estimate in an explicit tachyon-free string-derived model suggests
that the would-be $D$-term contribution may uplift the vacuum energy to a
positive value.
|
[
{
"created": "Mon, 20 Feb 2023 16:31:36 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Apr 2024 12:48:08 GMT",
"version": "v2"
}
] |
2024-04-02
|
[
[
"Avalos",
"Alonzo R. Diaz",
""
],
[
"Faraggi",
"Alon E.",
""
],
[
"Matyas",
"Viktor G.",
""
],
[
"Percival",
"Benjamin",
""
]
] |
The Fayet-Iliopoulos $D$-term is a common feature in $\mathcal{N}=1$ string vacua that contain an anomalous $U(1)$ gauge symmetry, and arises from a one--loop diagram in string perturbation theory. The same diagram is generated in string vacua in which supersymmetry is broken directly at the string scale, either via spontaneous Scherk-Schwarz breaking, in which case the gravitino mass is determined by the radius of the circle used in the Scherk-Schwarz mechanism, or via explicit supersymmetry breaking by the GSO projections. We analyse the resulting would-be Fayet-Illiopoulos $D$-term in the non-supersymmetric string vacua and its contribution to the vacuum energy. A numerical estimate in an explicit tachyon-free string-derived model suggests that the would-be $D$-term contribution may uplift the vacuum energy to a positive value.
| 6.819636
| 6.998039
| 6.83411
| 6.174894
| 7.037298
| 6.483789
| 6.534514
| 6.384315
| 6.263476
| 7.799198
| 6.35362
| 6.270066
| 6.624623
| 6.464252
| 6.576059
| 6.706944
| 6.498164
| 6.41431
| 6.430766
| 6.793321
| 6.672668
|
1806.02883
|
Hjalte Frellesvig Dr.
|
Hjalte Frellesvig
|
Generalized Polylogarithms in Maple
|
28 pages
| null | null | null |
hep-th cs.MS
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper describes generalized polylogarithms, multiple polylogarithms, and
multiple zeta values, along with their implementation in Maple 2018. This set
of related functions is of interest in high energy physics as well as in number
theory. Algorithms for the analytical manipulation and numerical evaluation of
these functions are described, along with the way these features are
implemented in Maple.
|
[
{
"created": "Thu, 7 Jun 2018 19:42:58 GMT",
"version": "v1"
}
] |
2018-06-11
|
[
[
"Frellesvig",
"Hjalte",
""
]
] |
This paper describes generalized polylogarithms, multiple polylogarithms, and multiple zeta values, along with their implementation in Maple 2018. This set of related functions is of interest in high energy physics as well as in number theory. Algorithms for the analytical manipulation and numerical evaluation of these functions are described, along with the way these features are implemented in Maple.
| 7.564605
| 7.755461
| 8.617319
| 7.787484
| 8.573127
| 7.850211
| 7.702055
| 7.498767
| 7.272746
| 8.987326
| 6.691841
| 7.2987
| 7.464085
| 6.993164
| 7.00758
| 7.223265
| 7.228547
| 6.958051
| 7.33612
| 7.051222
| 7.011812
|
1507.06556
|
Romulo Rougemont
|
Romulo Rougemont (Sao Paulo U.), Andrej Ficnar (Oxford U., Theor.
Phys.), Stefano Finazzo (Sao Paulo U. & Sao Paulo, IFT), Jorge Noronha (Sao
Paulo U. & Columbia U.)
|
Energy loss, equilibration, and thermodynamics of a baryon rich strongly
coupled quark-gluon plasma
|
51 pages, 14 figures, corrected results for the Langevin
coefficients, appendix and references added. Version accepted for publication
in JHEP
|
JHEP 04 (2016) 102
|
10.1007/JHEP04(2016)102
| null |
hep-th hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Lattice data for the QCD equation of state and the baryon susceptibility near
the crossover phase transition (at zero baryon density) are used to determine
the input parameters of a 5-dimensional Einstein-Maxwell-Dilaton holographic
model that provides a consistent holographic framework to study both
equilibrium and out-of-equilibrium properties of a hot and {\it baryon rich}
strongly coupled quark-gluon plasma (QGP). We compare our holographic equation
of state computed at nonzero baryon chemical potential, $\mu_B$, with recent
lattice calculations and find quantitative agreement for the pressure and the
speed of sound for $\mu_B \leq 400$ MeV. This holographic model is used to
obtain holographic predictions for the temperature and $\mu_B$ dependence of
the drag force and the Langevin diffusion coefficients associated with heavy
quark jet propagation as well as the jet quenching parameter $\hat{q}$ and the
shooting string energy loss of light quarks in the baryon dense plasma. We find
that the energy loss of heavy and light quarks generally displays a nontrivial,
fast-varying behavior as a function of the temperature near the crossover.
Moreover, energy loss is also found to generally increase due to nonzero baryon
density effects even though this strongly coupled liquid cannot be described in
terms of well defined quasiparticle excitations. Furthermore, to get a glimpse
of how thermalization occurs in a hot and baryon dense QGP, we study how the
lowest quasinormal mode of an external massless scalar disturbance in the bulk
is affected by a nonzero baryon charge. We find that the equilibration time
associated with the lowest quasinormal mode decreases in a dense medium.
|
[
{
"created": "Thu, 23 Jul 2015 16:42:11 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Apr 2016 02:49:30 GMT",
"version": "v2"
}
] |
2016-04-19
|
[
[
"Rougemont",
"Romulo",
"",
"Sao Paulo U."
],
[
"Ficnar",
"Andrej",
"",
"Oxford U., Theor.\n Phys."
],
[
"Finazzo",
"Stefano",
"",
"Sao Paulo U. & Sao Paulo, IFT"
],
[
"Noronha",
"Jorge",
"",
"Sao\n Paulo U. & Columbia U."
]
] |
Lattice data for the QCD equation of state and the baryon susceptibility near the crossover phase transition (at zero baryon density) are used to determine the input parameters of a 5-dimensional Einstein-Maxwell-Dilaton holographic model that provides a consistent holographic framework to study both equilibrium and out-of-equilibrium properties of a hot and {\it baryon rich} strongly coupled quark-gluon plasma (QGP). We compare our holographic equation of state computed at nonzero baryon chemical potential, $\mu_B$, with recent lattice calculations and find quantitative agreement for the pressure and the speed of sound for $\mu_B \leq 400$ MeV. This holographic model is used to obtain holographic predictions for the temperature and $\mu_B$ dependence of the drag force and the Langevin diffusion coefficients associated with heavy quark jet propagation as well as the jet quenching parameter $\hat{q}$ and the shooting string energy loss of light quarks in the baryon dense plasma. We find that the energy loss of heavy and light quarks generally displays a nontrivial, fast-varying behavior as a function of the temperature near the crossover. Moreover, energy loss is also found to generally increase due to nonzero baryon density effects even though this strongly coupled liquid cannot be described in terms of well defined quasiparticle excitations. Furthermore, to get a glimpse of how thermalization occurs in a hot and baryon dense QGP, we study how the lowest quasinormal mode of an external massless scalar disturbance in the bulk is affected by a nonzero baryon charge. We find that the equilibration time associated with the lowest quasinormal mode decreases in a dense medium.
| 5.670945
| 5.855076
| 5.443156
| 5.513281
| 5.605718
| 6.295056
| 5.588374
| 5.486687
| 5.344527
| 6.008408
| 5.509667
| 5.366654
| 5.42175
| 5.324899
| 5.357771
| 5.508727
| 5.324922
| 5.371127
| 5.269899
| 5.475101
| 5.315233
|
hep-th/0304065
|
Alfredo Takashi Suzuki
|
Alfredo T. Suzuki and J.H.O.Sales
|
Light-front gauge propagator reexamined-II
|
9 pages
| null | null | null |
hep-th
| null |
Gauge fields are special in the sense that they are invariant under gauge
transformations and \emph{``ipso facto''} they lead to problems when we try
quantizing them straightforwardly. To circumvent this problem we need to
specify a gauge condition to fix the gauge so that the fields that are
connected by gauge invariance are not overcounted in the process of
quantization. The usual way we do this in the light-front is through the
introduction of a Lagrange multiplier, $(n\cdot A)^{2}$, where $n_{\mu}$ is the
external light-like vector, i.e., $n^{2}=0$, and $A_{\mu}$ is the vector
potential. This leads to the usual light-front propagator with all the ensuing
characteristics such as the prominent $(k\cdot n)^{-1}$ pole which has been the
subject of much research. However, it has been for long recognized that this
procedure is incomplete in that there remains a residual gauge freedom still to
be fixed by some ``ad hoc'' prescription, and this is normally worked out to
remedy some unwieldy aspect that emerges along the way. In this work we propose
\emph{two} Lagrange multipliers with distinct coefficients for the light-front
gauge that leads to the correctly defined propagator with no residual gauge
freedom left. This is accomplished via $(n\cdot A)^2+(\partial \cdot A)^2$
terms in the Lagrangian density. These lead to a well-defined and exact though
Lorentz non invariant propagator.
|
[
{
"created": "Mon, 7 Apr 2003 18:12:28 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Sep 2003 14:22:21 GMT",
"version": "v2"
},
{
"created": "Fri, 12 Sep 2003 14:33:49 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Suzuki",
"Alfredo T.",
""
],
[
"Sales",
"J. H. O.",
""
]
] |
Gauge fields are special in the sense that they are invariant under gauge transformations and \emph{``ipso facto''} they lead to problems when we try quantizing them straightforwardly. To circumvent this problem we need to specify a gauge condition to fix the gauge so that the fields that are connected by gauge invariance are not overcounted in the process of quantization. The usual way we do this in the light-front is through the introduction of a Lagrange multiplier, $(n\cdot A)^{2}$, where $n_{\mu}$ is the external light-like vector, i.e., $n^{2}=0$, and $A_{\mu}$ is the vector potential. This leads to the usual light-front propagator with all the ensuing characteristics such as the prominent $(k\cdot n)^{-1}$ pole which has been the subject of much research. However, it has been for long recognized that this procedure is incomplete in that there remains a residual gauge freedom still to be fixed by some ``ad hoc'' prescription, and this is normally worked out to remedy some unwieldy aspect that emerges along the way. In this work we propose \emph{two} Lagrange multipliers with distinct coefficients for the light-front gauge that leads to the correctly defined propagator with no residual gauge freedom left. This is accomplished via $(n\cdot A)^2+(\partial \cdot A)^2$ terms in the Lagrangian density. These lead to a well-defined and exact though Lorentz non invariant propagator.
| 9.321239
| 9.267663
| 10.054661
| 9.367096
| 10.147926
| 9.504658
| 10.000167
| 9.175193
| 9.146175
| 9.893377
| 8.993299
| 8.747856
| 8.896371
| 8.609634
| 8.938373
| 8.846087
| 8.998934
| 8.799327
| 8.732993
| 9.03975
| 8.937901
|
1301.1973
|
Vitaly Vanchurin
|
Vitaly Vanchurin
|
Kinetic Theory and Hydrodynamics of Cosmic Strings
|
15 pages, replaced to match version accepted by PRD
|
Phys.Rev. D87 (2013) no.6, 063508
|
10.1103/PhysRevD.87.063508
| null |
hep-th astro-ph.CO gr-qc hep-ph math.DS
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We develop further a kinetic theory of strings and derive a transport
equation for a network of cosmic strings with Nambu-Goto evolution,
interactions and background gravitational effects taken into account. We prove
an H-theorem and obtain necessary and sufficient conditions for a thermodynamic
equilibrium. At the lowest order the equilibrium is estimated by the von
Mises-Fisher distributions parametrized by mean directions and dispersions of
the right- and left-moving tangent vectors. Under assumption of a local
equilibrium we derive a complete set of hydrodynamic equations that govern the
evolution of strings on large scales. We also argue that on small scales the
assumption of a local equilibrium would break down, and non-equilibrium steady
states, described by the Sinai-Ruelle-Bowen distributions, should be used
instead.
|
[
{
"created": "Wed, 9 Jan 2013 21:00:00 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Feb 2013 15:32:09 GMT",
"version": "v2"
},
{
"created": "Fri, 1 Mar 2013 16:36:47 GMT",
"version": "v3"
}
] |
2016-03-29
|
[
[
"Vanchurin",
"Vitaly",
""
]
] |
We develop further a kinetic theory of strings and derive a transport equation for a network of cosmic strings with Nambu-Goto evolution, interactions and background gravitational effects taken into account. We prove an H-theorem and obtain necessary and sufficient conditions for a thermodynamic equilibrium. At the lowest order the equilibrium is estimated by the von Mises-Fisher distributions parametrized by mean directions and dispersions of the right- and left-moving tangent vectors. Under assumption of a local equilibrium we derive a complete set of hydrodynamic equations that govern the evolution of strings on large scales. We also argue that on small scales the assumption of a local equilibrium would break down, and non-equilibrium steady states, described by the Sinai-Ruelle-Bowen distributions, should be used instead.
| 10.095607
| 11.490138
| 11.581752
| 11.089122
| 12.840947
| 10.825842
| 11.368156
| 11.912621
| 9.869658
| 12.774565
| 10.696718
| 10.027358
| 10.271334
| 9.576554
| 9.858614
| 10.000871
| 9.94505
| 9.975061
| 9.733644
| 10.009491
| 9.936744
|
hep-th/9612099
|
Denis Bernard
|
O. Babelon, D. Bernard and F.A. Smirnov
|
Form factors, KdV and Deformed Hyperelliptic Curves
|
17 pages, LaTeX, for the proceedings of the conference "Advanced
Quantum Field Theory (in memory of Claude Itzykson)", Lalonde, France, Sept.
96
|
Nucl.Phys.Proc.Suppl.58:21-33,1997
|
10.1016/S0920-5632(97)00410-6
|
SPhT-96-138; LPTHE-96-53
|
hep-th math.QA q-alg
| null |
We review and summarize recent works on the relation between form factors in
integrable quantum field theory and deformation of geometrical data associated
to hyper-elliptic curves. This relation, which is based on a deformation of the
Riemann bilinear identity, in particular leads to the notion of null vectors in
integrable field theory and to a new description of the KdV hierarchy.
|
[
{
"created": "Tue, 10 Dec 1996 10:56:35 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Babelon",
"O.",
""
],
[
"Bernard",
"D.",
""
],
[
"Smirnov",
"F. A.",
""
]
] |
We review and summarize recent works on the relation between form factors in integrable quantum field theory and deformation of geometrical data associated to hyper-elliptic curves. This relation, which is based on a deformation of the Riemann bilinear identity, in particular leads to the notion of null vectors in integrable field theory and to a new description of the KdV hierarchy.
| 9.548383
| 7.881946
| 9.97808
| 7.56308
| 7.632574
| 8.33444
| 8.542645
| 7.675102
| 7.245725
| 10.792542
| 8.006721
| 7.556787
| 9.119947
| 7.676216
| 8.048108
| 7.851435
| 7.936131
| 7.521378
| 8.220377
| 9.177232
| 7.721468
|
1406.5192
|
Csaba Csaki
|
Csaba Csaki, Nemanja Kaloper, Javi Serra, and John Terning
|
Inflation from Broken Scale Invariance
|
18 pages, 3 figures
|
Phys. Rev. Lett. 113, 161302 (2014)
|
10.1103/PhysRevLett.113.161302
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct a model of inflation based on a low-energy effective theory of
spontaneously broken global scale invariance. This provides a shift symmetry
that protects the inflaton potential from quantum corrections. Since the
underlying scale invariance is non-compact, arbitrarily large inflaton field
displacements are readily allowed in the low-energy effective theory. A weak
breaking of scale invariance by almost marginal operators provides a
non-trivial inflaton minimum, which sets and stabilizes the final low-energy
value of the Planck scale. The underlying scale invariance ensures that the
slow-roll approximation remains valid over large inflaton displacements, and
yields a scale invariant spectrum of perturbations as required by the CMB
observations.
|
[
{
"created": "Thu, 19 Jun 2014 20:00:25 GMT",
"version": "v1"
}
] |
2014-10-22
|
[
[
"Csaki",
"Csaba",
""
],
[
"Kaloper",
"Nemanja",
""
],
[
"Serra",
"Javi",
""
],
[
"Terning",
"John",
""
]
] |
We construct a model of inflation based on a low-energy effective theory of spontaneously broken global scale invariance. This provides a shift symmetry that protects the inflaton potential from quantum corrections. Since the underlying scale invariance is non-compact, arbitrarily large inflaton field displacements are readily allowed in the low-energy effective theory. A weak breaking of scale invariance by almost marginal operators provides a non-trivial inflaton minimum, which sets and stabilizes the final low-energy value of the Planck scale. The underlying scale invariance ensures that the slow-roll approximation remains valid over large inflaton displacements, and yields a scale invariant spectrum of perturbations as required by the CMB observations.
| 7.480797
| 7.142203
| 7.882748
| 7.500685
| 8.33801
| 7.755841
| 7.323329
| 7.320931
| 7.325478
| 8.118089
| 7.517901
| 7.689577
| 7.259839
| 7.265716
| 7.698454
| 7.536023
| 7.413113
| 7.376528
| 7.287603
| 7.162689
| 7.213352
|
hep-th/0201034
|
Alexei Deriglazov
|
A.A. Deriglazov
|
Quantum mechanics on noncommutative plane and sphere from constrained
systems
|
18 pages, LaTex file, Extended version
|
Phys. Lett. B530 (2002) 235
|
10.1016/S0370-2693(02)01262-5
| null |
hep-th
| null |
It is shown that quantum mechanics on noncommutative (NC) spaces can be
obtained by canonical quantization of some underlying constrained systems.
Noncommutative geometry arises after taking into account the second class
constraints presented in the models. It leads, in particular, to a possibility
of quantization in terms of the initial NC variables. For a two-dimensional
plane we present two Lagrangian actions, one of which admits addition of an
arbitrary potential. Quantization leads to quantum mechanics with ordinary
product replaced by the Moyal product. For a three-dimensional case we present
Lagrangian formulations for a particle on NC sphere as well as for a particle
on commutative sphere with a magnetic monopole at the center, the latter is
shown to be equivalent to the model of usual rotor. There are several natural
possibilities to choose physical variables, which lead either to commutative or
to NC brackets for space variables. In the NC representation all information on
the space variable dynamics is encoded in the NC geometry. Potential of special
form can be added, which leads to an example of quantum mechanics on the NC
sphere.
|
[
{
"created": "Sun, 6 Jan 2002 12:17:27 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Jan 2002 16:17:09 GMT",
"version": "v2"
},
{
"created": "Wed, 6 Mar 2002 18:00:21 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Deriglazov",
"A. A.",
""
]
] |
It is shown that quantum mechanics on noncommutative (NC) spaces can be obtained by canonical quantization of some underlying constrained systems. Noncommutative geometry arises after taking into account the second class constraints presented in the models. It leads, in particular, to a possibility of quantization in terms of the initial NC variables. For a two-dimensional plane we present two Lagrangian actions, one of which admits addition of an arbitrary potential. Quantization leads to quantum mechanics with ordinary product replaced by the Moyal product. For a three-dimensional case we present Lagrangian formulations for a particle on NC sphere as well as for a particle on commutative sphere with a magnetic monopole at the center, the latter is shown to be equivalent to the model of usual rotor. There are several natural possibilities to choose physical variables, which lead either to commutative or to NC brackets for space variables. In the NC representation all information on the space variable dynamics is encoded in the NC geometry. Potential of special form can be added, which leads to an example of quantum mechanics on the NC sphere.
| 10.552696
| 9.856536
| 10.980485
| 9.335517
| 10.37416
| 9.713354
| 9.827807
| 9.06189
| 9.906064
| 11.233236
| 9.452257
| 9.885632
| 9.981274
| 9.900596
| 9.782948
| 10.014903
| 9.848387
| 9.795077
| 9.822886
| 10.505537
| 9.714298
|
hep-th/0304046
|
Banin Alexander
|
A.T. Banin, I.L. Buchbinder, N.G. Pletnev
|
One-loop effective action for ${\cal N}=4$ SYM theory in the
hypermultiplet sector - leading low-energy approximation and beyond
|
LaTeX, 26 pages; corrected typos; references added
|
Phys.Rev. D68 (2003) 065024
|
10.1103/PhysRevD.68.065024
| null |
hep-th
| null |
We develop the derivative expansion of the one-loop ${\cal N}=4$ SYM
effective action depending both on ${\cal N}=2$ vector multiplet and on
hypermultiplet background fields. We get a new derivation of the complete
${\cal N}=4$ supersymmetric low-energy effective action obtained in
hep-th/0111062 and find subleading corrections to it. A problem of ${\cal N}=4$
supersymmetry of the results is discussed. Using the formalism of ${\cal N}=2$
harmonic superspace and exploring on-shell hidden ${\cal N}=2$ supersymmetry of
${\cal N}=4$ SYM theory we construct the appropriate hypermultiplet-depending
contributions. The hidden ${\cal N}=2$ supersymmetry requirements allow to get
a leading, in hypermultiplet derivatives, part of the correct ${\cal N}=4$
supersymmetric functional containing $F^{8}$ among the component fields.
|
[
{
"created": "Mon, 7 Apr 2003 05:14:30 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Apr 2003 07:40:33 GMT",
"version": "v2"
},
{
"created": "Mon, 14 Apr 2003 01:36:06 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Banin",
"A. T.",
""
],
[
"Buchbinder",
"I. L.",
""
],
[
"Pletnev",
"N. G.",
""
]
] |
We develop the derivative expansion of the one-loop ${\cal N}=4$ SYM effective action depending both on ${\cal N}=2$ vector multiplet and on hypermultiplet background fields. We get a new derivation of the complete ${\cal N}=4$ supersymmetric low-energy effective action obtained in hep-th/0111062 and find subleading corrections to it. A problem of ${\cal N}=4$ supersymmetry of the results is discussed. Using the formalism of ${\cal N}=2$ harmonic superspace and exploring on-shell hidden ${\cal N}=2$ supersymmetry of ${\cal N}=4$ SYM theory we construct the appropriate hypermultiplet-depending contributions. The hidden ${\cal N}=2$ supersymmetry requirements allow to get a leading, in hypermultiplet derivatives, part of the correct ${\cal N}=4$ supersymmetric functional containing $F^{8}$ among the component fields.
| 7.344143
| 6.044167
| 8.29404
| 6.954689
| 6.709963
| 6.663017
| 6.686711
| 6.6262
| 6.668869
| 8.345168
| 7.061664
| 6.796768
| 7.617703
| 6.995069
| 7.10531
| 7.082667
| 6.88687
| 6.803386
| 6.993314
| 7.419923
| 7.133489
|
hep-th/0701076
|
Giovanni Cicuta
|
M. Bonini, G.M. Cicuta and E. Onofri
|
Fock space methods and large N
|
7 pages including 2 eps figures
|
J.Phys.A40:F229-F234,2007
|
10.1088/1751-8113/40/10/F01
| null |
hep-th
| null |
Ideas and techniques (asymptotic decoupling of single-trace subspace,
asymptotic operator algebras, duality and role of supersymmetry) relevant in
current Fock space investigations of quantum field theories have very simple
roles in a class of toy models.
|
[
{
"created": "Tue, 9 Jan 2007 14:10:32 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Bonini",
"M.",
""
],
[
"Cicuta",
"G. M.",
""
],
[
"Onofri",
"E.",
""
]
] |
Ideas and techniques (asymptotic decoupling of single-trace subspace, asymptotic operator algebras, duality and role of supersymmetry) relevant in current Fock space investigations of quantum field theories have very simple roles in a class of toy models.
| 38.657951
| 30.59374
| 32.886318
| 29.414553
| 30.785557
| 31.113218
| 30.858665
| 32.928036
| 29.402533
| 38.928772
| 30.979563
| 24.771887
| 28.505608
| 26.538301
| 24.172808
| 25.583158
| 26.159061
| 24.750315
| 27.13751
| 28.554411
| 25.641439
|
hep-th/0506173
|
Anton Ilderton
|
A. Ilderton
|
The vacuum state functional of interacting string field theory
|
15 pages, 35 .eps figures
|
Int.J.Mod.Phys.A21:2527-2540,2006
|
10.1142/S0217751X06031016
| null |
hep-th
| null |
We show that the vacuum state functional for both open and closed string
field theories can be constructed from the vacuum expectation values it must
generate. The method also applies to quantum field theory and as an application
we give a diagrammatic description of the equivalance between Schrodinger and
covariant repreresentations of field theory.
|
[
{
"created": "Tue, 21 Jun 2005 12:33:26 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Ilderton",
"A.",
""
]
] |
We show that the vacuum state functional for both open and closed string field theories can be constructed from the vacuum expectation values it must generate. The method also applies to quantum field theory and as an application we give a diagrammatic description of the equivalance between Schrodinger and covariant repreresentations of field theory.
| 22.508904
| 16.635912
| 18.338354
| 18.553003
| 18.926937
| 19.677746
| 20.948624
| 20.671228
| 19.973482
| 21.20714
| 18.323469
| 18.974676
| 18.729914
| 18.35857
| 19.419165
| 19.769299
| 18.177158
| 17.942347
| 18.262774
| 19.280304
| 18.422956
|
0806.1897
|
Jyotirmoy Bhattacharya
|
Shanthanu Bhardwaj, Jyotirmoy Bhattacharya
|
Thermodynamics of Plasmaballs and Plasmarings in 3+1 Dimensions
|
18 pages, 11 figures, latex; v2: Typos corrected and new references
added
|
JHEP 0903:101,2009
|
10.1088/1126-6708/2009/03/101
|
TIFR/TH/09-02
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study localized plasma configurations in 3+1 dimensional massive field
theories obtained by Scherk-Schwarz compactification of 4+1 dimensional CFT to
predict the thermodynamic properties of localized blackholes and blackrings in
Scherk-Schwarz compactified $AdS_6$ using the AdS/CFT correspondence. We
present an exact solution to the relativistic Navier-Stokes equation in the
thin ring limit of the fluid configuration. We also perform a thorough
numerical analysis to obtain the thermodynamic properties of the most general
solution. Finally we compare our results with the recent proposal for the phase
diagram of blackholes in six flat dimensions and find some similarities but
other differences.
|
[
{
"created": "Wed, 11 Jun 2008 15:49:28 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Jan 2009 16:36:50 GMT",
"version": "v2"
}
] |
2009-03-31
|
[
[
"Bhardwaj",
"Shanthanu",
""
],
[
"Bhattacharya",
"Jyotirmoy",
""
]
] |
We study localized plasma configurations in 3+1 dimensional massive field theories obtained by Scherk-Schwarz compactification of 4+1 dimensional CFT to predict the thermodynamic properties of localized blackholes and blackrings in Scherk-Schwarz compactified $AdS_6$ using the AdS/CFT correspondence. We present an exact solution to the relativistic Navier-Stokes equation in the thin ring limit of the fluid configuration. We also perform a thorough numerical analysis to obtain the thermodynamic properties of the most general solution. Finally we compare our results with the recent proposal for the phase diagram of blackholes in six flat dimensions and find some similarities but other differences.
| 10.578085
| 8.481359
| 10.668559
| 8.902112
| 8.27756
| 9.110394
| 9.503273
| 9.076827
| 9.40265
| 11.509016
| 9.352612
| 8.732103
| 9.526669
| 9.01874
| 9.117364
| 8.773395
| 9.170989
| 9.213994
| 9.232613
| 9.856714
| 9.266674
|
hep-th/0210068
|
Nick Evans
|
James Babington, David E. Crooks and Nick Evans
|
A Stable Supergravity Dual of Non-supersymmetric Glue
|
20 pages, 3 figures
|
Phys.Rev. D67 (2003) 066007
|
10.1103/PhysRevD.67.066007
|
SHEP-02-26
|
hep-th
| null |
We study non-supersymmetric fermion mass and condensate deformations of the
AdS/CFT Correspondence. The 5 dimensional supergravity flows are lifted to a
complete and remarkably simple 10 dimensional background. A brane probe
analysis shows that when all the fermions have an equal mass a positive mass is
generated for all six scalar fields leaving non-supersymmetric Yang Mills
theory in the deep infra-red. We numerically determine the potential, produced
by the background, in the Schroedinger equation relevant to the study of O^++
glueballs. The potential is a bounded well, providing evidence of stability and
for a discrete, confined spectrum. The geometry can also describe the
supergravity background around an (unstable) fuzzy 5-brane.
|
[
{
"created": "Tue, 8 Oct 2002 07:54:11 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Oct 2002 10:37:37 GMT",
"version": "v2"
},
{
"created": "Thu, 13 Feb 2003 09:34:38 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Babington",
"James",
""
],
[
"Crooks",
"David E.",
""
],
[
"Evans",
"Nick",
""
]
] |
We study non-supersymmetric fermion mass and condensate deformations of the AdS/CFT Correspondence. The 5 dimensional supergravity flows are lifted to a complete and remarkably simple 10 dimensional background. A brane probe analysis shows that when all the fermions have an equal mass a positive mass is generated for all six scalar fields leaving non-supersymmetric Yang Mills theory in the deep infra-red. We numerically determine the potential, produced by the background, in the Schroedinger equation relevant to the study of O^++ glueballs. The potential is a bounded well, providing evidence of stability and for a discrete, confined spectrum. The geometry can also describe the supergravity background around an (unstable) fuzzy 5-brane.
| 18.43302
| 16.767452
| 19.761156
| 15.81453
| 17.334558
| 17.939806
| 17.492363
| 16.822418
| 16.229338
| 22.249796
| 16.691748
| 16.66256
| 19.599548
| 17.470324
| 17.862392
| 17.060061
| 17.044456
| 16.95075
| 17.07888
| 19.484896
| 17.340786
|
hep-th/9602004
| null |
Y.S.Kim
|
Unification of Spacetime Symmetries of Massive and Massless Particles
|
7 pages,LaTeX,based on a talk presented at the 2nd German-Polish
Symposium on New Ideas in the Theory of Fundamental Interactions (Zakopane,
Poland, September 11-15, 1995)
|
Acta Phys.Polon.B27:2741-2746,1996
| null | null |
hep-th
| null |
The internal space-time symmetries of relativistic particles are dictated by
Wigner's little groups. The $O(3)$-like little group for a massive particle at
rest and the $E(2)$-like little group of a massless particle are two different
manifestations of the same covariant little group. Likewise, the quark model
and parton pictures are two different manifestations of the one covariant
entity.
|
[
{
"created": "Thu, 1 Feb 1996 16:36:00 GMT",
"version": "v1"
}
] |
2011-04-15
|
[
[
"Kim",
"Y. S.",
""
]
] |
The internal space-time symmetries of relativistic particles are dictated by Wigner's little groups. The $O(3)$-like little group for a massive particle at rest and the $E(2)$-like little group of a massless particle are two different manifestations of the same covariant little group. Likewise, the quark model and parton pictures are two different manifestations of the one covariant entity.
| 8.627625
| 7.708566
| 8.018219
| 8.037696
| 8.500034
| 8.482242
| 8.007439
| 7.31716
| 7.064107
| 7.517613
| 7.453347
| 8.25401
| 8.293551
| 7.718256
| 8.377063
| 8.235103
| 8.285437
| 8.451352
| 8.021266
| 7.954948
| 7.884249
|
1610.04216
|
Francisco A. Brito
|
E. Passos, C. A. G. Almeida, F. A. Brito, R. Menezes, J. C.
Mota-Silva, J. R. L. Santos
|
Soliton solutions in two-dimensional Lorentz-violating higher derivative
scalar theory
|
Version to appear in Annals of Physics, 30 pages, 10 figures
| null | null | null |
hep-th nlin.PS
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper shows a new approach to obtain analytical topological defects of a
2D Myers-Pospelov Lagrangian for two scalar fields. Such a Lagrangian presents
higher-order kinetic terms, which lead us to equations of motion which are
non-trivial to be integrated. Here we describe three possible scenarios for the
equations of motion, named by timelike, spacelike and lightlike respectively.
We started our investigation with a kink-like travelling wave Ansatz for the
free theory, which led us to constraints for the dispersion relations of each
scenario. We also introduced a procedure to obtain analytical solutions for the
general theory in the three mentioned scenarios. We exemplified the procedure
and discussed the behavior of the defect solutions carefully. It is remarkable
that the methodology presented in this study led to analytical models, despite
the complexity of the equations of motion derived from the 2D Myers-Pospelov
Lagrangian. The methodology here tailored can be applied to several Lagrangians
with higher-order derivative terms.
|
[
{
"created": "Thu, 13 Oct 2016 19:50:06 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Jul 2018 19:04:44 GMT",
"version": "v2"
}
] |
2018-07-24
|
[
[
"Passos",
"E.",
""
],
[
"Almeida",
"C. A. G.",
""
],
[
"Brito",
"F. A.",
""
],
[
"Menezes",
"R.",
""
],
[
"Mota-Silva",
"J. C.",
""
],
[
"Santos",
"J. R. L.",
""
]
] |
This paper shows a new approach to obtain analytical topological defects of a 2D Myers-Pospelov Lagrangian for two scalar fields. Such a Lagrangian presents higher-order kinetic terms, which lead us to equations of motion which are non-trivial to be integrated. Here we describe three possible scenarios for the equations of motion, named by timelike, spacelike and lightlike respectively. We started our investigation with a kink-like travelling wave Ansatz for the free theory, which led us to constraints for the dispersion relations of each scenario. We also introduced a procedure to obtain analytical solutions for the general theory in the three mentioned scenarios. We exemplified the procedure and discussed the behavior of the defect solutions carefully. It is remarkable that the methodology presented in this study led to analytical models, despite the complexity of the equations of motion derived from the 2D Myers-Pospelov Lagrangian. The methodology here tailored can be applied to several Lagrangians with higher-order derivative terms.
| 11.424801
| 10.820011
| 12.045712
| 10.819898
| 11.765532
| 10.952164
| 11.976595
| 11.346153
| 10.954867
| 12.434625
| 10.615477
| 11.250245
| 11.287031
| 11.112288
| 11.221217
| 11.294067
| 11.613572
| 10.92878
| 11.106577
| 11.375375
| 11.225491
|
1211.5838
|
Chanyong Park
|
Bum-Hoon Lee, Bogeun Gwak, and Chanyong Park
|
Correlation functions of the ABJM model
|
16 pages, no figure
| null |
10.1103/PhysRevD.87.086002
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the ABJM model, we study the three-point function of two heavy operators
and an (ir)relevant one. Following the AdS/CFT correspondence, the structure
constant in the large 't Hooft coupling limit can be factorized into two parts.
One is the structure constant with a marginal operator, which is fully
determined by the physical quantities of heavy operator and gives rise to the
consistent result with the RG analysis. The other can be expressed as the
universal form depending only on the conformal dimension of an (ir)relevant
operator. We also investigate the new size effect of a circular string dual to
a certain closed spin chain.
|
[
{
"created": "Mon, 26 Nov 2012 01:46:27 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Feb 2013 04:38:07 GMT",
"version": "v2"
}
] |
2013-04-17
|
[
[
"Lee",
"Bum-Hoon",
""
],
[
"Gwak",
"Bogeun",
""
],
[
"Park",
"Chanyong",
""
]
] |
In the ABJM model, we study the three-point function of two heavy operators and an (ir)relevant one. Following the AdS/CFT correspondence, the structure constant in the large 't Hooft coupling limit can be factorized into two parts. One is the structure constant with a marginal operator, which is fully determined by the physical quantities of heavy operator and gives rise to the consistent result with the RG analysis. The other can be expressed as the universal form depending only on the conformal dimension of an (ir)relevant operator. We also investigate the new size effect of a circular string dual to a certain closed spin chain.
| 10.158906
| 9.247423
| 10.855893
| 9.089739
| 10.116601
| 9.779041
| 10.491836
| 8.948815
| 9.19067
| 10.947896
| 9.48185
| 9.074921
| 9.483032
| 9.152084
| 9.125381
| 8.980998
| 8.952064
| 9.028008
| 8.695317
| 9.531394
| 8.863637
|
1005.2130
|
Gherardo Piacitelli
|
Dorothea Bahns, Sergio Doplicher, Klaus Fredenhagen and Gherardo
Piacitelli
|
Quantum Geometry on Quantum Spacetime: Distance, Area and Volume
Operators
|
23 pages, one figure with colours, active hyperlinks
|
Commun. Math. Phys. 308, 567-589 (2011)
|
10.1007/s00220-011-1358-y
| null |
hep-th gr-qc math-ph math.MP math.OA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We develop the first steps towards an analysis of geometry on the quantum
spacetime proposed in [1]. The homogeneous elements of the universal
differential algebra are naturally identified with operators living in tensor
powers of Quantum Spacetime; this allows us to compute their spectra. In
particular, we consider operators that can be interpreted as distances, areas,
3- and 4-volumes. The Minkowski distance operator between two independent
events is shown to have pure Lebesgue spectrum with infinite multiplicity. The
Euclidean distance operator is shown to have spectrum bounded below by a
constant of the order of the Planck length. The corresponding statement is
proved also for both the space-space and space-time area operators, as well as
for the Euclidean length of the vector representing the 3-volume operators.
However, the space 3-volume operator (the time component of that vector) is
shown to have spectrum equal to the whole complex plane. All these operators
are normal, while the distance operators are also selfadjoint. The Lorentz
invariant spacetime volume operator, representing the 4- volume spanned by five
independent events, is shown to be normal. Its spectrum is pure point with a
finite distance (of the order of the fourth power of the Planck length) away
from the origin. The mathematical formalism apt to these problems is developed
and its relation to a general formulation of Gauge Theories on Quantum Spaces
is outlined. As a byproduct, a Hodge Duality between the absolute dif-
ferential and the Hochschild boundary is pointed out.
|
[
{
"created": "Wed, 12 May 2010 15:34:41 GMT",
"version": "v1"
}
] |
2015-03-17
|
[
[
"Bahns",
"Dorothea",
""
],
[
"Doplicher",
"Sergio",
""
],
[
"Fredenhagen",
"Klaus",
""
],
[
"Piacitelli",
"Gherardo",
""
]
] |
We develop the first steps towards an analysis of geometry on the quantum spacetime proposed in [1]. The homogeneous elements of the universal differential algebra are naturally identified with operators living in tensor powers of Quantum Spacetime; this allows us to compute their spectra. In particular, we consider operators that can be interpreted as distances, areas, 3- and 4-volumes. The Minkowski distance operator between two independent events is shown to have pure Lebesgue spectrum with infinite multiplicity. The Euclidean distance operator is shown to have spectrum bounded below by a constant of the order of the Planck length. The corresponding statement is proved also for both the space-space and space-time area operators, as well as for the Euclidean length of the vector representing the 3-volume operators. However, the space 3-volume operator (the time component of that vector) is shown to have spectrum equal to the whole complex plane. All these operators are normal, while the distance operators are also selfadjoint. The Lorentz invariant spacetime volume operator, representing the 4- volume spanned by five independent events, is shown to be normal. Its spectrum is pure point with a finite distance (of the order of the fourth power of the Planck length) away from the origin. The mathematical formalism apt to these problems is developed and its relation to a general formulation of Gauge Theories on Quantum Spaces is outlined. As a byproduct, a Hodge Duality between the absolute dif- ferential and the Hochschild boundary is pointed out.
| 8.639879
| 10.964012
| 9.793674
| 9.596135
| 10.530684
| 10.339721
| 10.158414
| 10.220163
| 9.340368
| 10.29287
| 9.639008
| 8.902948
| 8.99405
| 8.780318
| 8.898257
| 8.910081
| 8.886556
| 8.887624
| 8.712996
| 8.908968
| 8.93355
|
hep-th/9403064
|
Pavel Etingof
|
Jintai Ding and Pavel Etingof
|
Center of a quantum affine algebra at the critical level
|
10 pages
| null | null | null |
hep-th math.QA
| null |
We construct central elements in a completion of the quantum affine algebra
at the critical level c=-g from the universal R-matrix (g being the dual
Coxeter number of the corresponding simple Lie algebra), using the method of
Reshetikhin and Semenov-Tian-Shansky. This construction defines an action of
the Grothendieck algebra of the category of finite-dimensional representations
of the quantum affine algebra on any module over this algebra from category O
with c=-g. We explain the connection between the central elements and transfer
matrices in statistical mechanics. In the quasiclassical approximation this
connection was explained by Feigin, E.Frenkel, and Reshetikhin in hep-th
9402022, and it was mentioned that one could generalize it to the quantum case
to get Bethe vectors for transfer matrices. Using this connection, we prove
that the central elements
(for all finite dimensional representations) applied to the highest weight
vector of a generic Verma module at the critical level generate the whole space
of singular vectors in this module. We also compute the first term of the
quasiclassical expansion of the central elements near q=1, and show that it
always gives the Sugawara current with a certain coefficient.
|
[
{
"created": "Thu, 10 Mar 1994 17:24:25 GMT",
"version": "v1"
}
] |
2008-02-03
|
[
[
"Ding",
"Jintai",
""
],
[
"Etingof",
"Pavel",
""
]
] |
We construct central elements in a completion of the quantum affine algebra at the critical level c=-g from the universal R-matrix (g being the dual Coxeter number of the corresponding simple Lie algebra), using the method of Reshetikhin and Semenov-Tian-Shansky. This construction defines an action of the Grothendieck algebra of the category of finite-dimensional representations of the quantum affine algebra on any module over this algebra from category O with c=-g. We explain the connection between the central elements and transfer matrices in statistical mechanics. In the quasiclassical approximation this connection was explained by Feigin, E.Frenkel, and Reshetikhin in hep-th 9402022, and it was mentioned that one could generalize it to the quantum case to get Bethe vectors for transfer matrices. Using this connection, we prove that the central elements (for all finite dimensional representations) applied to the highest weight vector of a generic Verma module at the critical level generate the whole space of singular vectors in this module. We also compute the first term of the quasiclassical expansion of the central elements near q=1, and show that it always gives the Sugawara current with a certain coefficient.
| 7.049273
| 8.908433
| 9.729951
| 7.567215
| 8.981795
| 8.42536
| 8.371564
| 8.566547
| 7.914529
| 9.300782
| 7.985186
| 7.835392
| 7.682177
| 7.636155
| 7.395292
| 7.673883
| 7.213683
| 7.640211
| 7.398135
| 7.716962
| 7.723764
|
1405.0967
|
Cristina Zambon
|
Cristina Zambon
|
The classical nonlinear Schr\"odinger model with a new integrable
boundary
|
16 pages. Additional information added in section 4.1
|
JHEP08(2014)036
| null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A new integrable boundary for the classical nonlinear Schr\"odinger model is
derived by dressing a boundary with a defect. A complete investigation of the
integrability of the new boundary is carried out in the sense that the boundary
${\cal K}$ matrix is derived and the integrability is proved via the classical
$r$-matrix. The issue of conserved charges is also discussed. The key point in
proving the integrability of the new boundary is the use of suitable modified
Poisson brackets. Finally, concerning the kind of defect used in the present
context, this investigation offers the opportunity to prove - beyond any doubts
- their integrability.
|
[
{
"created": "Mon, 5 May 2014 17:13:49 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Aug 2014 14:33:38 GMT",
"version": "v2"
}
] |
2014-08-21
|
[
[
"Zambon",
"Cristina",
""
]
] |
A new integrable boundary for the classical nonlinear Schr\"odinger model is derived by dressing a boundary with a defect. A complete investigation of the integrability of the new boundary is carried out in the sense that the boundary ${\cal K}$ matrix is derived and the integrability is proved via the classical $r$-matrix. The issue of conserved charges is also discussed. The key point in proving the integrability of the new boundary is the use of suitable modified Poisson brackets. Finally, concerning the kind of defect used in the present context, this investigation offers the opportunity to prove - beyond any doubts - their integrability.
| 12.314381
| 11.970334
| 12.104909
| 11.364457
| 12.187134
| 11.733941
| 12.333485
| 11.706327
| 11.409982
| 12.99505
| 11.57492
| 10.919955
| 11.775526
| 11.289235
| 10.975732
| 11.2382
| 11.035531
| 11.285368
| 10.821674
| 12.299568
| 11.083894
|
1911.13141
|
Hagen M\"unkler
|
Hagen M\"unkler
|
Wilson Loops and Integrability
|
34 pages, 9 graphics, to appear in a special issue of J. Phys. A
| null |
10.1088/1751-8121/ab2477
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
These notes provide an introduction toward Wilson loops in N=4 supersymmetric
Yang-Mills theory with a focus toward their integrability properties. In
addition to a brief discussion of exact results for the circular Wilson loop
and the cusp anomalous dimension, the notes focus on non-local symmetries,
utilizing the integrability of the minimal surface problem that appears at
strong coupling. This work is based on lectures given at the Young Researchers
Integrability School and Workshop 2018. To appear in a special issue of J.
Phys. A.
|
[
{
"created": "Fri, 29 Nov 2019 15:08:10 GMT",
"version": "v1"
}
] |
2020-08-26
|
[
[
"Münkler",
"Hagen",
""
]
] |
These notes provide an introduction toward Wilson loops in N=4 supersymmetric Yang-Mills theory with a focus toward their integrability properties. In addition to a brief discussion of exact results for the circular Wilson loop and the cusp anomalous dimension, the notes focus on non-local symmetries, utilizing the integrability of the minimal surface problem that appears at strong coupling. This work is based on lectures given at the Young Researchers Integrability School and Workshop 2018. To appear in a special issue of J. Phys. A.
| 8.611193
| 5.816495
| 9.528903
| 6.610206
| 6.344566
| 7.037097
| 6.543543
| 6.700745
| 6.063567
| 9.75116
| 6.374034
| 6.816345
| 8.025829
| 6.937939
| 7.529378
| 6.961894
| 6.901349
| 7.308406
| 7.390256
| 8.42984
| 6.951076
|
1910.01056
|
George Georgiou
|
George Georgiou and Konstantinos Sfetsos
|
Field theory and $\lambda$-deformations: Expanding around the identity
|
29 pages, minor improvements, published version
| null |
10.1016/j.nuclphysb.2019.114855
| null |
hep-th nlin.SI
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explore the structure of the $\lambda$-deformed $\sigma$-model action by
setting up a perturbative expansion around the free field point corresponding
to the identity group element. We include all field interaction terms up to
sixth order. We compute the two- and three-point functions of current and
primary filed operators, their anomalous dimensions as well as the
$\beta$-function for the $\lambda$-parameter. Our results are in complete
agreement with those obtained previously using gravitational and/or CFT
perturbative methods in conjunction with the non-perturbative symmetry, as well
as with those obtained using methods exploiting the geometry defined in the
space of couplings. The advantage of this approach is that all deformation
effects are already encoded in the couplings of the interaction vertices and in
the $\lambda$-dressed operators.
|
[
{
"created": "Wed, 2 Oct 2019 16:22:30 GMT",
"version": "v1"
},
{
"created": "Sat, 23 Nov 2019 09:36:16 GMT",
"version": "v2"
}
] |
2019-11-27
|
[
[
"Georgiou",
"George",
""
],
[
"Sfetsos",
"Konstantinos",
""
]
] |
We explore the structure of the $\lambda$-deformed $\sigma$-model action by setting up a perturbative expansion around the free field point corresponding to the identity group element. We include all field interaction terms up to sixth order. We compute the two- and three-point functions of current and primary filed operators, their anomalous dimensions as well as the $\beta$-function for the $\lambda$-parameter. Our results are in complete agreement with those obtained previously using gravitational and/or CFT perturbative methods in conjunction with the non-perturbative symmetry, as well as with those obtained using methods exploiting the geometry defined in the space of couplings. The advantage of this approach is that all deformation effects are already encoded in the couplings of the interaction vertices and in the $\lambda$-dressed operators.
| 10.4473
| 10.277735
| 10.796181
| 9.293906
| 10.270599
| 10.87039
| 10.29886
| 10.268354
| 9.398889
| 12.319379
| 9.794612
| 9.695041
| 10.368253
| 9.679451
| 9.680686
| 9.882326
| 9.975354
| 9.665516
| 9.78948
| 10.607439
| 9.500392
|
hep-th/0205281
|
Marcel Vonk
|
R. Dijkgraaf, E. Verlinde and M. Vonk
|
On the partition sum of the NS five-brane
|
35 pages
| null | null |
PUPT-2030, SPIN-2002/10, ITFA-2002-9
|
hep-th
| null |
We study the Type IIA NS five-brane wrapped on a Calabi-Yau manifold X in a
double-scaled decoupling limit. We calculate the euclidean partition function
in the presence of a flat RR 3-form field. The classical contribution is given
by a sum over fluxes of the self-dual tensor field which reduces to a
theta-function. The quantum contributions are computed using a T-dual IIB
background where the five-branes are replaced by an ALE singularity. Using the
supergravity effective action we find that the loop corrections to the free
energy are given by B-model topological string amplitudes. This seems to
provide a direct link between the double-scaled little strings on the
five-brane worldvolume and topological strings. Both the classical and quantum
contributions to the partition function satisfy (conjugate) holomorphic anomaly
equations, which explains an observation of Witten relating topological string
theory to the quantization of three-form fields.
|
[
{
"created": "Mon, 27 May 2002 21:40:07 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Dijkgraaf",
"R.",
""
],
[
"Verlinde",
"E.",
""
],
[
"Vonk",
"M.",
""
]
] |
We study the Type IIA NS five-brane wrapped on a Calabi-Yau manifold X in a double-scaled decoupling limit. We calculate the euclidean partition function in the presence of a flat RR 3-form field. The classical contribution is given by a sum over fluxes of the self-dual tensor field which reduces to a theta-function. The quantum contributions are computed using a T-dual IIB background where the five-branes are replaced by an ALE singularity. Using the supergravity effective action we find that the loop corrections to the free energy are given by B-model topological string amplitudes. This seems to provide a direct link between the double-scaled little strings on the five-brane worldvolume and topological strings. Both the classical and quantum contributions to the partition function satisfy (conjugate) holomorphic anomaly equations, which explains an observation of Witten relating topological string theory to the quantization of three-form fields.
| 8.577653
| 8.300519
| 9.215993
| 7.844193
| 8.710313
| 8.22347
| 7.981962
| 8.256539
| 8.027478
| 9.891565
| 8.087086
| 8.312792
| 8.745429
| 8.097283
| 8.427298
| 8.242541
| 8.218451
| 8.055093
| 8.204481
| 8.958853
| 8.041825
|
1104.5013
|
Andrew Fitzpatrick
|
A. Liam Fitzpatrick and David Shih
|
Anomalous Dimensions of Non-Chiral Operators from AdS/CFT
|
38 pages, 2 figures, refs added
| null |
10.1007/JHEP10(2011)113
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Non-chiral operators with positive anomalous dimensions can have interesting
applications to supersymmetric model building. Motivated by this, we develop a
new method for obtaining the anomalous dimensions of non-chiral double-trace
operators in N=1 superconformal field theories (SCFTs) with weakly-coupled AdS
duals. Via the Hamiltonian formulation of AdS/CFT, we show how to directly
compute the anomalous dimension as a bound state energy in the gravity dual.
This simplifies previous approaches based on the four-point function and the
OPE. We apply our method to a class of effective AdS5 supergravity models, and
we find that the binding energy can have either sign. If such models can be UV
completed, they will provide the first calculable examples of SCFTs with
positive anomalous dimensions.
|
[
{
"created": "Tue, 26 Apr 2011 20:00:02 GMT",
"version": "v1"
},
{
"created": "Wed, 18 May 2011 16:38:32 GMT",
"version": "v2"
}
] |
2015-05-28
|
[
[
"Fitzpatrick",
"A. Liam",
""
],
[
"Shih",
"David",
""
]
] |
Non-chiral operators with positive anomalous dimensions can have interesting applications to supersymmetric model building. Motivated by this, we develop a new method for obtaining the anomalous dimensions of non-chiral double-trace operators in N=1 superconformal field theories (SCFTs) with weakly-coupled AdS duals. Via the Hamiltonian formulation of AdS/CFT, we show how to directly compute the anomalous dimension as a bound state energy in the gravity dual. This simplifies previous approaches based on the four-point function and the OPE. We apply our method to a class of effective AdS5 supergravity models, and we find that the binding energy can have either sign. If such models can be UV completed, they will provide the first calculable examples of SCFTs with positive anomalous dimensions.
| 6.613263
| 6.474072
| 7.168215
| 6.440813
| 6.796792
| 6.284598
| 6.989598
| 6.257689
| 6.134969
| 7.615059
| 6.342212
| 6.198661
| 6.452916
| 6.11746
| 6.230389
| 6.28768
| 6.132763
| 6.260134
| 6.135131
| 6.378582
| 6.323513
|
0712.0043
|
Ashoke Sen
|
Shamik Banerjee and Ashoke Sen
|
Duality Orbits, Dyon Spectrum and Gauge Theory Limit of Heterotic String
Theory on T^6
|
LaTeX file, 22 pages
|
JHEP 0803:022,2008
|
10.1088/1126-6708/2008/03/022
| null |
hep-th
| null |
For heterotic string theory compactified on T^6, we derive the complete set
of T-duality invariants which characterize a pair of charge vectors (Q,P)
labelling the electric and magnetic charges of the dyon. Using this we can
identify the complete set of dyons to which the previously derived degeneracy
formula can be extended. By going near special points in the moduli space of
the theory we derive the spectrum of quarter BPS dyons in N=4 supersymmetric
gauge theory with simply laced gauge groups. The results are in agreement with
those derived from field theory analysis.
|
[
{
"created": "Mon, 3 Dec 2007 17:28:41 GMT",
"version": "v1"
}
] |
2009-09-15
|
[
[
"Banerjee",
"Shamik",
""
],
[
"Sen",
"Ashoke",
""
]
] |
For heterotic string theory compactified on T^6, we derive the complete set of T-duality invariants which characterize a pair of charge vectors (Q,P) labelling the electric and magnetic charges of the dyon. Using this we can identify the complete set of dyons to which the previously derived degeneracy formula can be extended. By going near special points in the moduli space of the theory we derive the spectrum of quarter BPS dyons in N=4 supersymmetric gauge theory with simply laced gauge groups. The results are in agreement with those derived from field theory analysis.
| 10.129364
| 8.781904
| 11.512168
| 8.736258
| 8.989719
| 8.671544
| 8.345705
| 9.040418
| 9.101679
| 12.66567
| 8.939347
| 9.329622
| 9.389393
| 8.928678
| 8.340903
| 8.856052
| 8.933
| 8.785225
| 9.006846
| 9.314985
| 8.836001
|
1910.03247
|
Taro Kimura
|
Taro Kimura
|
Integrating over quiver variety and BPS/CFT correspondence
|
16 pages; minor changes, typos corrected
|
Lett. Math. Phys. 110 (2020) 1237-1255
|
10.1007/s11005-020-01261-5
| null |
hep-th math.QA math.RT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show the vertex operator formalism for the quiver gauge theory partition
function and the $qq$-character of highest-weight module on quiver, both
associated with the integral over the quiver variety.
|
[
{
"created": "Tue, 8 Oct 2019 07:20:30 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Oct 2020 11:22:56 GMT",
"version": "v2"
}
] |
2020-10-07
|
[
[
"Kimura",
"Taro",
""
]
] |
We show the vertex operator formalism for the quiver gauge theory partition function and the $qq$-character of highest-weight module on quiver, both associated with the integral over the quiver variety.
| 23.917116
| 16.560194
| 22.767782
| 20.165928
| 21.272947
| 19.51116
| 22.804087
| 17.951435
| 18.368254
| 36.25227
| 20.347054
| 20.683989
| 25.240349
| 18.404072
| 19.055973
| 20.018425
| 19.509081
| 19.270323
| 17.784098
| 22.79019
| 20.225761
|
hep-th/0301206
|
Troels Harmark
|
Troels Harmark and Tadashi Takayanagi
|
Supersymmetric Godel Universes in String Theory
|
latex, 36 pages, 1 figure; v2: typos corrected, refs. added, v3:
typos corrected
|
Nucl.Phys.B662:3-39,2003
|
10.1016/S0550-3213(03)00349-3
|
HUTP-03/A004
|
hep-th
| null |
Supersymmetric backgrounds in string and M-theory of the Godel Universe type
are studied. We find several new Godel Universes that preserve up to 20
supersymmetries. In particular, we obtain an interesting Godel Universe in
M-theory with 18 supersymmetries which does not seem to be dual to a pp-wave.
We show that not only T-duality but also the type-IIA/M-theory S-duality can
give supersymmetric Godel Universes from pp-waves. We find solutions that can
interpolate between Godel Universes and pp-waves. We also compute the string
spectrum on two type IIA Godel Universes. Furthermore, we obtain the spectrum
of D-branes on a Godel Universe and find the supergravity solution for a
D4-brane on a Godel Universe.
|
[
{
"created": "Sun, 26 Jan 2003 21:35:36 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Feb 2003 18:57:50 GMT",
"version": "v2"
},
{
"created": "Tue, 8 Apr 2003 14:12:45 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Harmark",
"Troels",
""
],
[
"Takayanagi",
"Tadashi",
""
]
] |
Supersymmetric backgrounds in string and M-theory of the Godel Universe type are studied. We find several new Godel Universes that preserve up to 20 supersymmetries. In particular, we obtain an interesting Godel Universe in M-theory with 18 supersymmetries which does not seem to be dual to a pp-wave. We show that not only T-duality but also the type-IIA/M-theory S-duality can give supersymmetric Godel Universes from pp-waves. We find solutions that can interpolate between Godel Universes and pp-waves. We also compute the string spectrum on two type IIA Godel Universes. Furthermore, we obtain the spectrum of D-branes on a Godel Universe and find the supergravity solution for a D4-brane on a Godel Universe.
| 6.369894
| 6.500313
| 7.431797
| 5.891699
| 6.557773
| 6.53855
| 6.165596
| 6.089104
| 6.412549
| 7.080251
| 5.929863
| 5.798711
| 7.032782
| 6.013206
| 5.96597
| 5.972158
| 6.140184
| 6.01109
| 6.029402
| 6.852991
| 5.736682
|
hep-th/0601033
|
Seiichi Kuwata
|
S. Kuwata, H. Fujii, A. Nakashima
|
Alternativity and reciprocity in the Cayley-Dickson algebra
|
To be published in J. Phys. A: Mathematical and General
|
J.Phys.A39:1633-1644,2006
|
10.1088/0305-4470/39/7/008
| null |
hep-th
| null |
We calculate the eigenvalue \rho of the multiplication mapping R on the
Cayley-Dickson algebra A_n. If the element in A_n is composed of a pair of
alternative elements in A_{n-1}, half the eigenvectors of R in A_n are still
eigenvectors in the subspace which is isomorphic to A_{n-1}.
The invariant under the reciprocal transformation A_n \times A_{n} \ni (x,y)
-> (-y,x) plays a fundamental role in simplifying the functional form of \rho.
If some physical field can be identified with the eigenspace of R, with an
injective map from the field to a scalar quantity (such as a mass) m, then
there is a one-to-one map \pi: m \mapsto \rho. As an example, the electro-weak
gauge field can be regarded as the eigenspace of R, where \pi implies that the
W-boson mass is less than the Z-boson mass, as in the standard model.
|
[
{
"created": "Fri, 6 Jan 2006 01:05:28 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Kuwata",
"S.",
""
],
[
"Fujii",
"H.",
""
],
[
"Nakashima",
"A.",
""
]
] |
We calculate the eigenvalue \rho of the multiplication mapping R on the Cayley-Dickson algebra A_n. If the element in A_n is composed of a pair of alternative elements in A_{n-1}, half the eigenvectors of R in A_n are still eigenvectors in the subspace which is isomorphic to A_{n-1}. The invariant under the reciprocal transformation A_n \times A_{n} \ni (x,y) -> (-y,x) plays a fundamental role in simplifying the functional form of \rho. If some physical field can be identified with the eigenspace of R, with an injective map from the field to a scalar quantity (such as a mass) m, then there is a one-to-one map \pi: m \mapsto \rho. As an example, the electro-weak gauge field can be regarded as the eigenspace of R, where \pi implies that the W-boson mass is less than the Z-boson mass, as in the standard model.
| 9.996103
| 11.155628
| 11.322185
| 10.301028
| 10.971653
| 11.324498
| 11.045015
| 10.437274
| 9.859126
| 10.67313
| 9.824773
| 9.897072
| 9.899178
| 9.558529
| 10.02109
| 10.042798
| 9.848794
| 9.841001
| 9.749339
| 9.887621
| 9.715308
|
hep-th/9510167
|
Jan De Boer
|
Jan de Boer, Kostas Skenderis, Peter van Nieuwenhuizen and Andrew
Waldron
|
On the renormalizability and unitarity of the Curci-Ferrari model for
massive vector bosons
|
13 pages, LaTeX, with three figures (needs psfig)
|
Phys.Lett. B367 (1996) 175-182
|
10.1016/0370-2693(95)01455-1
|
ITP-SB-95-43
|
hep-th
| null |
We prove the renormalizability of the Curci-Ferrari model with and without
auxiliary fields using BRST methods. In both cases we find 5 $Z$ factors
instead of 3. We verify our results by explicit one loop calculations. We
determine a set of generators for the ``physical states'', many of which have
negative norm. Supersymmetrization is considered.
|
[
{
"created": "Mon, 23 Oct 1995 22:50:05 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"de Boer",
"Jan",
""
],
[
"Skenderis",
"Kostas",
""
],
[
"van Nieuwenhuizen",
"Peter",
""
],
[
"Waldron",
"Andrew",
""
]
] |
We prove the renormalizability of the Curci-Ferrari model with and without auxiliary fields using BRST methods. In both cases we find 5 $Z$ factors instead of 3. We verify our results by explicit one loop calculations. We determine a set of generators for the ``physical states'', many of which have negative norm. Supersymmetrization is considered.
| 13.351195
| 11.45892
| 11.848435
| 11.640844
| 12.065435
| 12.271014
| 13.580899
| 11.31434
| 10.439615
| 12.473698
| 12.285295
| 12.200844
| 12.391901
| 11.93364
| 12.679623
| 11.837799
| 11.761802
| 11.719685
| 11.231009
| 12.6876
| 11.958317
|
hep-th/0605053
|
Valeria Gili
|
Valeria L. Gili
|
Simplicial and modular aspects of string dualities
|
199 pages, Ph.D. Thesis (Advisor: Mauro Carfora)
| null | null | null |
hep-th
| null |
This Ph.D. thesis collects results obtained investigating two different
aspects of modern unifying theories. In the first part I summarized results
achieved investigating simplicial aspects of string dualities. Exploiting
Boundary Conformal Field Theory techniques, I investigated the coupling between
random Regge triangulations and open string theory, discussing its implications
in gauge/gravity correspondence. The second part reports results obtained in
the paper hep-th/0309237, devoted to look for cosmological backgrounds of
superstring theories.
|
[
{
"created": "Thu, 4 May 2006 14:14:59 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Gili",
"Valeria L.",
""
]
] |
This Ph.D. thesis collects results obtained investigating two different aspects of modern unifying theories. In the first part I summarized results achieved investigating simplicial aspects of string dualities. Exploiting Boundary Conformal Field Theory techniques, I investigated the coupling between random Regge triangulations and open string theory, discussing its implications in gauge/gravity correspondence. The second part reports results obtained in the paper hep-th/0309237, devoted to look for cosmological backgrounds of superstring theories.
| 19.487825
| 18.560019
| 19.65712
| 16.693316
| 15.552252
| 16.797857
| 18.028919
| 16.243948
| 17.376141
| 20.465992
| 16.74399
| 18.338097
| 19.023062
| 17.35865
| 17.144054
| 17.07196
| 17.109941
| 17.359297
| 17.937407
| 18.505516
| 18.220005
|
hep-th/9201023
| null |
C.N. Pope
|
$SL(\infty,R)$ Symmetry of $W_\infty$ Gravity
|
10 pages (Talk presented at the Trieste Summer School in High-Energy
Physics, August 1991)
| null |
10.1016/0550-3213(92)90067-L
| null |
hep-th
| null |
Two-dimensional gravity in the light-cone gauge was shown by Polyakov to
exhibit an underlying $SL(2,R)$ Kac-Moody symmetry, which may be used to
express the energy-momentum tensor for the metric component $h_{++}$ in terms
of the $SL(2,R)$ currents {\it via}\ the Sugawara construction. We review some
recent results which show that in a similar manner, $W_\infty$ and
$W_{1+\infty}$ gravities have underlying $SL(\infty,R)$ and $GL(\infty,R)$
Kac-Moody symmetries respectively.
|
[
{
"created": "Mon, 13 Jan 1992 14:52:55 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Pope",
"C. N.",
""
]
] |
Two-dimensional gravity in the light-cone gauge was shown by Polyakov to exhibit an underlying $SL(2,R)$ Kac-Moody symmetry, which may be used to express the energy-momentum tensor for the metric component $h_{++}$ in terms of the $SL(2,R)$ currents {\it via}\ the Sugawara construction. We review some recent results which show that in a similar manner, $W_\infty$ and $W_{1+\infty}$ gravities have underlying $SL(\infty,R)$ and $GL(\infty,R)$ Kac-Moody symmetries respectively.
| 5.050674
| 4.560243
| 4.946097
| 4.591707
| 4.628199
| 4.25206
| 4.60696
| 4.458859
| 4.143793
| 5.28998
| 4.358041
| 4.450183
| 4.788203
| 4.619605
| 4.542117
| 4.579607
| 4.338799
| 4.414975
| 4.526129
| 4.821104
| 4.407746
|
2405.13111
|
Boris Post
|
Jan de Boer, Diego Liska, Boris Post
|
Multiboundary wormholes and OPE statistics
|
51 pages + appendix, 10 figures. V2: added comments on Tauberian
theory
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive higher moments in the statistical distribution of OPE coefficients
in holographic 2D CFTs, and show that such moments correspond to multiboundary
Euclidean wormholes in pure 3D gravity. The n-th cyclic non-Gaussian
contraction of heavy-heavy-light OPE coefficients follows from crossing
symmetry of the thermal n-point function. We derive universal expressions for
the cubic and quartic moments and demonstrate that their scaling with the
microcanonical entropy agrees with a generalization of the Eigenstate
Thermalization Hypothesis. Motivated by this result, we conjecture that the
full statistical ensemble of OPE data is fixed by three premises: typicality,
crossing symmetry and modular invariance. Together, these properties give
predictions for non-factorizing observables, such as the generalized spectral
form factor. Using the Virasoro TQFT, we match these connected averages to new
on-shell wormhole topologies with multiple boundary components. Lastly, we
study and clarify examples where the statistics of heavy operators are not
universal and depend on the light operator spectrum. We give a gravitational
interpretation to these corrections in terms of Wilson loops winding around
non-trivial cycles in the bulk.
|
[
{
"created": "Tue, 21 May 2024 18:00:01 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Jul 2024 13:20:10 GMT",
"version": "v2"
}
] |
2024-07-25
|
[
[
"de Boer",
"Jan",
""
],
[
"Liska",
"Diego",
""
],
[
"Post",
"Boris",
""
]
] |
We derive higher moments in the statistical distribution of OPE coefficients in holographic 2D CFTs, and show that such moments correspond to multiboundary Euclidean wormholes in pure 3D gravity. The n-th cyclic non-Gaussian contraction of heavy-heavy-light OPE coefficients follows from crossing symmetry of the thermal n-point function. We derive universal expressions for the cubic and quartic moments and demonstrate that their scaling with the microcanonical entropy agrees with a generalization of the Eigenstate Thermalization Hypothesis. Motivated by this result, we conjecture that the full statistical ensemble of OPE data is fixed by three premises: typicality, crossing symmetry and modular invariance. Together, these properties give predictions for non-factorizing observables, such as the generalized spectral form factor. Using the Virasoro TQFT, we match these connected averages to new on-shell wormhole topologies with multiple boundary components. Lastly, we study and clarify examples where the statistics of heavy operators are not universal and depend on the light operator spectrum. We give a gravitational interpretation to these corrections in terms of Wilson loops winding around non-trivial cycles in the bulk.
| 14.099067
| 13.508046
| 16.464262
| 13.618085
| 14.554041
| 14.279142
| 12.909853
| 12.842744
| 12.905821
| 16.996717
| 12.608737
| 13.115827
| 14.494863
| 13.789953
| 13.322845
| 12.907027
| 13.155954
| 13.139636
| 13.675222
| 14.646854
| 12.867686
|
1512.05833
|
Antonio Pereira Jr
|
M. A. L. Capri, D. Dudal, D. Fiorentini, M. S. Guimaraes, I. F. Justo,
B. W. Mintz, L. F. Palhares, A. D. Pereira, R. F. Sobreiro, S. P. Sorella
|
More on the non-perturbative Gribov-Zwanziger quantization of linear
covariant gauges
|
15 pages, 1 figure; V2 typos fixed and inclusion of section on the
ghost propagator. To appear in PhysRev D
|
Phys. Rev. D 93, 065019 (2016)
|
10.1103/PhysRevD.93.065019
| null |
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we discuss the gluon propagator in the linear covariant gauges
in $D=2,3,4$ Euclidean dimensions. Non-perturbative effects are taken into
account via the so-called Refined Gribov-Zwanziger framework. We point out
that, as in the Landau and maximal Abelian gauges, for $D=3,4$, the gluon
propagator displays a massive (decoupling) behaviour, while for $D=2$, a
scaling one emerges. All results are discussed in a setup that respects the
Becchi-Rouet-Stora-Tyutin (BRST) symmetry, through a recently introduced
non-perturbative BRST transformation. We also propose a minimizing functional
that could be used to construct a lattice version of our non-perturbative
definition of the linear covariant gauge.
|
[
{
"created": "Fri, 18 Dec 2015 00:24:55 GMT",
"version": "v1"
},
{
"created": "Sat, 20 Feb 2016 11:12:22 GMT",
"version": "v2"
}
] |
2016-03-23
|
[
[
"Capri",
"M. A. L.",
""
],
[
"Dudal",
"D.",
""
],
[
"Fiorentini",
"D.",
""
],
[
"Guimaraes",
"M. S.",
""
],
[
"Justo",
"I. F.",
""
],
[
"Mintz",
"B. W.",
""
],
[
"Palhares",
"L. F.",
""
],
[
"Pereira",
"A. D.",
""
],
[
"Sobreiro",
"R. F.",
""
],
[
"Sorella",
"S. P.",
""
]
] |
In this paper, we discuss the gluon propagator in the linear covariant gauges in $D=2,3,4$ Euclidean dimensions. Non-perturbative effects are taken into account via the so-called Refined Gribov-Zwanziger framework. We point out that, as in the Landau and maximal Abelian gauges, for $D=3,4$, the gluon propagator displays a massive (decoupling) behaviour, while for $D=2$, a scaling one emerges. All results are discussed in a setup that respects the Becchi-Rouet-Stora-Tyutin (BRST) symmetry, through a recently introduced non-perturbative BRST transformation. We also propose a minimizing functional that could be used to construct a lattice version of our non-perturbative definition of the linear covariant gauge.
| 4.840243
| 4.74206
| 5.233385
| 4.845016
| 4.937597
| 4.695902
| 5.256362
| 4.938086
| 4.751934
| 5.336656
| 4.841055
| 4.807473
| 5.031172
| 4.959625
| 4.97303
| 4.835552
| 4.855937
| 4.940242
| 4.914553
| 4.747245
| 4.843452
|
2203.14981
|
Junho Hong
|
Nikolay Bobev, Junho Hong, Valentin Reys
|
Large $N$ Topologically Twisted Indices, Holography, and Black Holes
|
6 pages; v2: conjecture on the deformed 3-sphere partition function
added, updated references; v3: minor typos corrected, version accepted for
publication; v4: updated references
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a simple closed form expression for the topologically twisted
index of the ABJM theory as a function of the magnetic fluxes and complex
chemical potentials valid at fixed $k$ and to all orders in the $1/N$
expansion. This in turn leads to analytic expressions for the topologically
twisted index at fixed genus in the 't Hooft limit to all orders in the
$1/\sqrt{\lambda}$ expansion. These results have important implications for
holography and the microscopic entropy counting of supersymmetric static
AdS$_4$ black holes. Generalizations to other SCFTs arising from M2-branes are
also briefly discussed.
|
[
{
"created": "Mon, 28 Mar 2022 18:00:03 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Apr 2022 21:57:01 GMT",
"version": "v2"
},
{
"created": "Thu, 21 Jul 2022 11:48:03 GMT",
"version": "v3"
},
{
"created": "Wed, 19 Apr 2023 14:48:24 GMT",
"version": "v4"
}
] |
2023-04-20
|
[
[
"Bobev",
"Nikolay",
""
],
[
"Hong",
"Junho",
""
],
[
"Reys",
"Valentin",
""
]
] |
We present a simple closed form expression for the topologically twisted index of the ABJM theory as a function of the magnetic fluxes and complex chemical potentials valid at fixed $k$ and to all orders in the $1/N$ expansion. This in turn leads to analytic expressions for the topologically twisted index at fixed genus in the 't Hooft limit to all orders in the $1/\sqrt{\lambda}$ expansion. These results have important implications for holography and the microscopic entropy counting of supersymmetric static AdS$_4$ black holes. Generalizations to other SCFTs arising from M2-branes are also briefly discussed.
| 6.488993
| 5.260468
| 6.982587
| 5.559172
| 5.676822
| 6.162288
| 5.857652
| 5.705626
| 5.491298
| 7.412536
| 5.785317
| 5.726647
| 6.290111
| 5.743905
| 5.601866
| 5.770902
| 5.698771
| 5.776952
| 5.695878
| 6.302196
| 5.621939
|
hep-th/0212346
|
P. Henry-Labordere
|
Pierre Henry-Labordere, Bernard Julia, Louis Paulot
|
Real Borcherds Superalgebras and M-theory
|
22 pages, v2 corrected few errors in tables
|
JHEP 0304 (2003) 060
|
10.1088/1126-6708/2003/04/060
|
LPTENS-02/43, QMUL-PH-02-xx
|
hep-th
| null |
The correspondence between del Pezzo surfaces and field theory models over
the complex numbers or for split real forms is extended to other real forms, in
particular to those compatible with supersymmetry. Specifically, all theories
of the Magic triangle that reduce to the pure supergravities in four dimensions
correspond to singular real del Pezzo surfaces and the same is true for the
Magic square of N=2 SUGRAS. A real del Pezzo surface is the invariant set under
an antilinear involution of a complex one. This conjugation induces an
involution of the Picard group that preserves the anticanonical class and the
intersection form. The known non-split U-duality algebras are embedded into
superBorcherds algebras defined by their Cartan matrix (minus the intersection
form) and fixed by the anti-involution. These data may be described by
Tits-Satake bicoloured diagrams. As in the split case, oxidation results from
blowing down disjoint real P^1's of self-intersection -1. The singular del
Pezzo surfaces of interest are obtained by degenerating regular surfaces upon
contraction of real curves of self-intersection -2. We use the finite
classification of real simple singularities to exhibit the relevant normal
surfaces. We also give a general construction of more magic triangles like a
type I split magic triangle and prove their (approximate) symmetry with respect
to their diagonal, this symmetry argument was announced in our previous paper
for the split case.
|
[
{
"created": "Tue, 31 Dec 2002 15:21:04 GMT",
"version": "v1"
},
{
"created": "Fri, 2 May 2003 11:18:31 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Henry-Labordere",
"Pierre",
""
],
[
"Julia",
"Bernard",
""
],
[
"Paulot",
"Louis",
""
]
] |
The correspondence between del Pezzo surfaces and field theory models over the complex numbers or for split real forms is extended to other real forms, in particular to those compatible with supersymmetry. Specifically, all theories of the Magic triangle that reduce to the pure supergravities in four dimensions correspond to singular real del Pezzo surfaces and the same is true for the Magic square of N=2 SUGRAS. A real del Pezzo surface is the invariant set under an antilinear involution of a complex one. This conjugation induces an involution of the Picard group that preserves the anticanonical class and the intersection form. The known non-split U-duality algebras are embedded into superBorcherds algebras defined by their Cartan matrix (minus the intersection form) and fixed by the anti-involution. These data may be described by Tits-Satake bicoloured diagrams. As in the split case, oxidation results from blowing down disjoint real P^1's of self-intersection -1. The singular del Pezzo surfaces of interest are obtained by degenerating regular surfaces upon contraction of real curves of self-intersection -2. We use the finite classification of real simple singularities to exhibit the relevant normal surfaces. We also give a general construction of more magic triangles like a type I split magic triangle and prove their (approximate) symmetry with respect to their diagonal, this symmetry argument was announced in our previous paper for the split case.
| 15.663056
| 17.175787
| 18.465437
| 16.989256
| 17.056984
| 16.3451
| 16.41855
| 15.65553
| 16.066633
| 20.769701
| 15.592975
| 15.483703
| 16.241791
| 15.252343
| 16.085962
| 15.68662
| 15.791777
| 15.852623
| 15.475522
| 16.762337
| 15.029011
|
hep-th/9503077
|
Alexios Polychronakos
|
Alexios P. Polychronakos
|
Probabilities and Path-Integral Realization of Exclusion Statistics
|
10 pages, phyzzx.tex, no figures
|
Phys.Lett. B365 (1996) 202
|
10.1016/0370-2693(95)01302-4
|
UUITP-03/95
|
hep-th
| null |
A microscopic formulation of Haldane's exclusions statistics is given in
terms of a priori occupation probabilities of states. It is shown that negative
probabilities are always necessary to reproduce fractional statistics. Based on
this formulation, a path-integral realization for systems with exclusion
statistics is derived. This has the advantage of being generalizable to
interacting systems, and can be used as the starting point for further
generalizations of statistics. As a byproduct, the vanishing of the heat
capacity at zero temperature for exclusion statistics systems is proved.
|
[
{
"created": "Sat, 11 Mar 1995 17:46:37 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Polychronakos",
"Alexios P.",
""
]
] |
A microscopic formulation of Haldane's exclusions statistics is given in terms of a priori occupation probabilities of states. It is shown that negative probabilities are always necessary to reproduce fractional statistics. Based on this formulation, a path-integral realization for systems with exclusion statistics is derived. This has the advantage of being generalizable to interacting systems, and can be used as the starting point for further generalizations of statistics. As a byproduct, the vanishing of the heat capacity at zero temperature for exclusion statistics systems is proved.
| 10.565886
| 10.814087
| 10.353976
| 9.944188
| 9.937857
| 10.267858
| 10.556197
| 10.469843
| 10.104432
| 10.597548
| 9.255336
| 9.898705
| 9.898845
| 9.768914
| 9.826163
| 9.94075
| 10.003348
| 9.945361
| 9.537966
| 9.22248
| 9.578904
|
hep-th/9612007
|
Joao Carlos Alves Barata
|
J. C. A. Barata, F. Nill
|
Dyonic Sectors and Intertwiner Connections in 2+1-dimensional Lattice
Z_N-Higgs Models
|
61 pages. LaTeX. AmsTeX fonts used.
|
Commun.Math.Phys. 191 (1998) 409-466
|
10.1007/s002200050273
| null |
hep-th hep-lat math-ph math.MP
| null |
We construct dyonic states in 2+1-dimensional lattice Z_N-Higgs models, i.e.,
states which are both, electrically and magnetically charged. The associated
Hilbert spaces carry charged representations of the observable algebra, the
global transfer matrix and a unitary implementation of the group of spatial
lattice translations. We prove that for coinciding total charges these
representations are dynamically equivalent and we construct a local intertwiner
connection depending on a path in the space of charge distributions. The
holonomy of this connection is given by Z_N-valued phases. This will be the
starting point for a construction of scattering states with anyon statistics in
a subsequent paper.
|
[
{
"created": "Fri, 29 Nov 1996 21:34:59 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Barata",
"J. C. A.",
""
],
[
"Nill",
"F.",
""
]
] |
We construct dyonic states in 2+1-dimensional lattice Z_N-Higgs models, i.e., states which are both, electrically and magnetically charged. The associated Hilbert spaces carry charged representations of the observable algebra, the global transfer matrix and a unitary implementation of the group of spatial lattice translations. We prove that for coinciding total charges these representations are dynamically equivalent and we construct a local intertwiner connection depending on a path in the space of charge distributions. The holonomy of this connection is given by Z_N-valued phases. This will be the starting point for a construction of scattering states with anyon statistics in a subsequent paper.
| 13.87676
| 15.026256
| 15.247096
| 13.619731
| 14.471537
| 15.448743
| 15.775805
| 13.805173
| 14.651185
| 14.832716
| 14.560211
| 13.710931
| 13.62028
| 13.415746
| 13.912762
| 13.562132
| 13.534217
| 13.613978
| 13.673513
| 13.975286
| 13.502129
|
hep-th/9208073
| null |
V.Spiridonov
|
Deformation of Supersymmetric and Conformal Quantum Mechanics Through
Affine Transformations
|
16 pages, LATEX, UdeM-LPN-TH94-92
|
NASA Conf.Publ. 3197:93-108,1993
| null | null |
hep-th
| null |
Affine transformations (dilatations and translations) are used to define a
deformation of one-dimensional $N=2$ supersymmetric quantum mechanics.
Resulting physical systems do not have conserved charges and degeneracies in
the spectra. Instead, superpartner Hamiltonians are $q$-isospectral, i.e. the
spectrum of one can be obtained from another (with possible exception of the
lowest level) by $q^2$-factor scaling. This construction allows easily to
rederive a special self-similar potential found by Shabat and to show that for
the latter a $q$-deformed harmonic oscillator algebra of Biedenharn and
Macfarlane serves as the spectrum generating algebra. A general class of
potentials related to the quantum conformal algebra $su_q(1,1)$ is described.
Further possibilities for $q$-deformation of known solvable potentials are
outlined.
Talk presented at the workshop on Harmonic Oscillators, College Park, 25-28
March 1992.
|
[
{
"created": "Thu, 27 Aug 1992 21:40:15 GMT",
"version": "v1"
}
] |
2011-03-02
|
[
[
"Spiridonov",
"V.",
""
]
] |
Affine transformations (dilatations and translations) are used to define a deformation of one-dimensional $N=2$ supersymmetric quantum mechanics. Resulting physical systems do not have conserved charges and degeneracies in the spectra. Instead, superpartner Hamiltonians are $q$-isospectral, i.e. the spectrum of one can be obtained from another (with possible exception of the lowest level) by $q^2$-factor scaling. This construction allows easily to rederive a special self-similar potential found by Shabat and to show that for the latter a $q$-deformed harmonic oscillator algebra of Biedenharn and Macfarlane serves as the spectrum generating algebra. A general class of potentials related to the quantum conformal algebra $su_q(1,1)$ is described. Further possibilities for $q$-deformation of known solvable potentials are outlined. Talk presented at the workshop on Harmonic Oscillators, College Park, 25-28 March 1992.
| 9.841348
| 9.350301
| 11.242662
| 9.399452
| 10.033703
| 10.018256
| 9.66047
| 9.949655
| 9.297472
| 11.550612
| 9.506802
| 9.15588
| 9.213376
| 9.13906
| 9.108736
| 9.236532
| 8.865812
| 9.025791
| 9.223359
| 9.646725
| 9.111582
|
1807.10132
|
Hironori Hoshino
|
Hironori Hoshino and Shin Nakamura
|
Proper effective temperature of nonequilibrium steady state
|
22 pages, no figures
|
Prog Theor Exp Phys (2020)
|
10.1093/ptep/ptaa110
| null |
hep-th cond-mat.stat-mech gr-qc hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We define a proper effective temperature for relativistic nonequilibrium
steady states (NESSs). A conventional effective temperature of NESSs is defined
from the ratio of the fluctuation to the dissipation. However, NESSs have
relative velocities to the heat bath in general, and hence the conventional
effective temperature can be frame dependent in relativistic systems. The
proper effective temperature is introduced as a frame-independent (Lorentz
invariant) quantity that characterizes NESSs. We find that the proper effective
temperature of NESSs is higher than the proper temperature of the heat bath in
a wide range of holographic models even when the conventional effective
temperature is lower than the temperature of the heat bath.
|
[
{
"created": "Thu, 26 Jul 2018 13:46:25 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Jul 2020 06:33:12 GMT",
"version": "v2"
}
] |
2020-12-02
|
[
[
"Hoshino",
"Hironori",
""
],
[
"Nakamura",
"Shin",
""
]
] |
We define a proper effective temperature for relativistic nonequilibrium steady states (NESSs). A conventional effective temperature of NESSs is defined from the ratio of the fluctuation to the dissipation. However, NESSs have relative velocities to the heat bath in general, and hence the conventional effective temperature can be frame dependent in relativistic systems. The proper effective temperature is introduced as a frame-independent (Lorentz invariant) quantity that characterizes NESSs. We find that the proper effective temperature of NESSs is higher than the proper temperature of the heat bath in a wide range of holographic models even when the conventional effective temperature is lower than the temperature of the heat bath.
| 6.310209
| 6.697762
| 6.248376
| 5.5401
| 6.198772
| 6.189137
| 6.279623
| 6.261144
| 6.274589
| 6.397426
| 5.754046
| 5.840029
| 5.835717
| 5.983056
| 5.915647
| 5.868909
| 6.043722
| 5.782278
| 6.015296
| 6.260219
| 5.617755
|
1208.1255
|
Pierre Vanhove
|
Piotr Tourkine, Pierre Vanhove
|
One-loop four-graviton amplitudes in N=4 supergravity models
|
46 pages. One figure. v2: minor corrections and clarifications.
References added. v3: (2,2) analysis corrected, four-graviton amplitudes
found to be indentical in all models. Various clarifications and precisions
added. References list updated. v4: Assorted spelling and grammar
corrections. Version to be published
| null |
10.1103/PhysRevD.87.045001
|
IHES/P/12/21; IPHT-t12/057
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We evaluate in great detail one-loop four-graviton field theory amplitudes in
pure N=4 D=4 supergravity. The expressions are obtained by taking the field
theory limits of (4,0) and (2,2) space-time supersymmetric string theory
models. For each model we extract the contributions of the spin-1 and spin-2
N=4 supermultiplets running in the loop. We show that all of those
constructions lead to the same four-dimensional result for the four-graviton
amplitudes in pure supergravity even though they come from different string
theory models.
|
[
{
"created": "Mon, 6 Aug 2012 19:46:26 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Sep 2012 10:18:31 GMT",
"version": "v2"
},
{
"created": "Mon, 12 Nov 2012 17:36:41 GMT",
"version": "v3"
},
{
"created": "Mon, 28 Jan 2013 13:48:27 GMT",
"version": "v4"
}
] |
2013-05-30
|
[
[
"Tourkine",
"Piotr",
""
],
[
"Vanhove",
"Pierre",
""
]
] |
We evaluate in great detail one-loop four-graviton field theory amplitudes in pure N=4 D=4 supergravity. The expressions are obtained by taking the field theory limits of (4,0) and (2,2) space-time supersymmetric string theory models. For each model we extract the contributions of the spin-1 and spin-2 N=4 supermultiplets running in the loop. We show that all of those constructions lead to the same four-dimensional result for the four-graviton amplitudes in pure supergravity even though they come from different string theory models.
| 8.584773
| 8.146363
| 9.368185
| 8.567279
| 8.374125
| 8.3806
| 8.391968
| 8.101943
| 8.304232
| 10.178244
| 7.960122
| 8.319271
| 8.886865
| 7.972744
| 8.138759
| 7.996623
| 8.042103
| 8.294902
| 8.21445
| 8.34622
| 7.917544
|
hep-th/0210083
|
Volker Braun
|
Ralph Blumenhagen, Volker Braun, Boris Kors, Dieter Lust
|
The Standard Model on the Quintic
|
Summary of Talks at SUSY02, 1st Intl. Conference on String
Phenomenology in Oxford, Strings 2002 and 35th Ahrenshoop Symposium. 36
pages, harvmac, 1 figure. v2, v3: references added
| null | null |
HU-EP-02/44, SPIN-02/29, ITP-UU-02/47, LPTENS-02/52
|
hep-th hep-ph
| null |
We describe the general geometrical framework of brane world constructions in
orientifolds of type IIA string theory with D6-branes wrapping 3-cycles in a
Calabi-Yau 3-fold, and point out their immediate phenomenological relevance.
These branes generically intersect in points, and the patterns of intersections
govern the chiral fermion spectra and issues of gauge and supersymmetry
breaking in the low energy effective gauge theory on their world volume. In
particular, we provide an example of an intersecting brane world scenario on
the quintic Calabi-Yau with the gauge group and the chiral spectrum of the
Standard Model and discuss its properties in some detail. Additionally we
explain related technical advancements in the construction of supersymmetric
orientifold vacua with intersecting D-branes. Six-dimensional orientifolds of
this type generalize the rather limited set of formerly known orbifolds of type
I, and the presented techniques provide a short-cut to obtain their spectra.
Finally, we comment on lifting configurations of intersecting D6-branes to
M-theory on non-compact G_2 manifolds.
|
[
{
"created": "Wed, 9 Oct 2002 09:30:06 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Oct 2002 17:12:54 GMT",
"version": "v2"
},
{
"created": "Thu, 7 Nov 2002 13:09:40 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Blumenhagen",
"Ralph",
""
],
[
"Braun",
"Volker",
""
],
[
"Kors",
"Boris",
""
],
[
"Lust",
"Dieter",
""
]
] |
We describe the general geometrical framework of brane world constructions in orientifolds of type IIA string theory with D6-branes wrapping 3-cycles in a Calabi-Yau 3-fold, and point out their immediate phenomenological relevance. These branes generically intersect in points, and the patterns of intersections govern the chiral fermion spectra and issues of gauge and supersymmetry breaking in the low energy effective gauge theory on their world volume. In particular, we provide an example of an intersecting brane world scenario on the quintic Calabi-Yau with the gauge group and the chiral spectrum of the Standard Model and discuss its properties in some detail. Additionally we explain related technical advancements in the construction of supersymmetric orientifold vacua with intersecting D-branes. Six-dimensional orientifolds of this type generalize the rather limited set of formerly known orbifolds of type I, and the presented techniques provide a short-cut to obtain their spectra. Finally, we comment on lifting configurations of intersecting D6-branes to M-theory on non-compact G_2 manifolds.
| 8.3115
| 8.087811
| 8.834939
| 7.897611
| 8.436857
| 8.358019
| 8.517615
| 8.395625
| 8.002136
| 9.596374
| 7.983894
| 7.937492
| 8.544789
| 7.966655
| 7.930312
| 8.063911
| 8.072254
| 7.85253
| 7.918113
| 8.586467
| 7.929922
|
1403.0545
|
Yifan Wang
|
Chi-Ming Chang, Ying-Hsuan Lin, Yifan Wang, Xi Yin
|
Deformations with Maximal Supersymmetries Part 1: On-shell Formulation
|
58 pages, new references are added
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study deformations of maximally supersymmetric gauge theories by higher
dimensional operators in various spacetime dimensions. We classify
infinitesimal deformations that preserve all 16 supersymmetries, while allowing
the possibility of breaking either Lorentz or R-symmetry, using an on-shell
algebraic method developed by Movshev and Schwarz. We also consider the problem
of extending the deformation beyond the first order.
|
[
{
"created": "Mon, 3 Mar 2014 20:00:00 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Mar 2014 17:59:14 GMT",
"version": "v2"
}
] |
2014-03-13
|
[
[
"Chang",
"Chi-Ming",
""
],
[
"Lin",
"Ying-Hsuan",
""
],
[
"Wang",
"Yifan",
""
],
[
"Yin",
"Xi",
""
]
] |
We study deformations of maximally supersymmetric gauge theories by higher dimensional operators in various spacetime dimensions. We classify infinitesimal deformations that preserve all 16 supersymmetries, while allowing the possibility of breaking either Lorentz or R-symmetry, using an on-shell algebraic method developed by Movshev and Schwarz. We also consider the problem of extending the deformation beyond the first order.
| 7.838498
| 6.710817
| 9.35551
| 7.561178
| 7.393896
| 7.595424
| 8.092762
| 7.285277
| 7.161481
| 9.469033
| 7.11518
| 7.685995
| 8.417944
| 7.401207
| 7.316186
| 7.22518
| 7.174589
| 7.152522
| 7.189994
| 9.138544
| 6.960949
|
hep-th/0210048
|
Bertoldi Gaetano
|
Gaetano Bertoldi
|
5d Black holes, wrapped fivebranes and 3d Chern-Simons Super Yang-Mills
|
27 pages, 6 figures
|
JHEP 0210 (2002) 042
|
10.1088/1126-6708/2002/10/042
|
MIT-CTP-3313
|
hep-th
| null |
We study extremal and non-extremal generalizations of the regular non-abelian
solution found by Chamseddine and Volkov in 5d N=4 gauged supergravity, which
has been shown by Maldacena and Nastase to describe a system of NS5-branes
wrapping an three-sphere dual to three-dimensional U(N) N=1 supersymmetric
Yang-Mills with Chern-Simons coupling k=N/2. All black hole solutions have a
temperature larger than the Hagedorn temperature Tc of the little string theory
and their entropy decreases as the temperature increases. This is a sign that
the system is thermodynamically unstable above Tc. We have also found an
analytical solution describing NS5-branes wrapped on a constant radius
three-sphere and involving a linear dilaton. Its non-extremal generalization
has a temperature equal to 2 Tc.
|
[
{
"created": "Fri, 4 Oct 2002 20:17:51 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Bertoldi",
"Gaetano",
""
]
] |
We study extremal and non-extremal generalizations of the regular non-abelian solution found by Chamseddine and Volkov in 5d N=4 gauged supergravity, which has been shown by Maldacena and Nastase to describe a system of NS5-branes wrapping an three-sphere dual to three-dimensional U(N) N=1 supersymmetric Yang-Mills with Chern-Simons coupling k=N/2. All black hole solutions have a temperature larger than the Hagedorn temperature Tc of the little string theory and their entropy decreases as the temperature increases. This is a sign that the system is thermodynamically unstable above Tc. We have also found an analytical solution describing NS5-branes wrapped on a constant radius three-sphere and involving a linear dilaton. Its non-extremal generalization has a temperature equal to 2 Tc.
| 8.145522
| 6.644587
| 8.740725
| 6.590733
| 6.970295
| 6.466324
| 6.220345
| 6.698192
| 6.072119
| 8.922743
| 6.378274
| 7.004017
| 7.307957
| 6.606806
| 6.874578
| 6.888613
| 6.73976
| 6.62393
| 6.519648
| 7.170172
| 6.649806
|
1606.02677
|
Stefano Lucat
|
Stefano Lucat and Tomislav Prokopec
|
The role of conformal symmetry in gravity and the standard model
|
33 pages ; 4 figures
| null |
10.1088/0264-9381/33/24/245002
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we consider conformal symmetry in the context of manifolds with
general affine connection. We extend the conformal transformation law of the
metric to a general metric compatible affine connection, and find that it is a
symmetry of both the geodesic equation and the Riemann tensor. We derive the
generalised Jacobi equation and Raychaudhuri equation and show that they are
both conformally invariant. Using the geodesic deviation~(Jacobi) equation we
analyse the behaviour of geodesics in different conformal frames.
Since we find that our version of conformal symmetry is exact in classical
pure Einstein's gravity, we ask whether one can extend it to the standard
model. We find that it is possible to write conformal invariant lagrangians in
any dimensions for vector, fermion and scalar fields, but that such lagrangians
are only gauge invariant in four dimensions. Provided one introduces a dilaton
field, gravity can be conformally coupled to matter.
|
[
{
"created": "Wed, 8 Jun 2016 18:26:53 GMT",
"version": "v1"
}
] |
2016-12-07
|
[
[
"Lucat",
"Stefano",
""
],
[
"Prokopec",
"Tomislav",
""
]
] |
In this paper we consider conformal symmetry in the context of manifolds with general affine connection. We extend the conformal transformation law of the metric to a general metric compatible affine connection, and find that it is a symmetry of both the geodesic equation and the Riemann tensor. We derive the generalised Jacobi equation and Raychaudhuri equation and show that they are both conformally invariant. Using the geodesic deviation~(Jacobi) equation we analyse the behaviour of geodesics in different conformal frames. Since we find that our version of conformal symmetry is exact in classical pure Einstein's gravity, we ask whether one can extend it to the standard model. We find that it is possible to write conformal invariant lagrangians in any dimensions for vector, fermion and scalar fields, but that such lagrangians are only gauge invariant in four dimensions. Provided one introduces a dilaton field, gravity can be conformally coupled to matter.
| 7.360931
| 7.244098
| 6.875583
| 7.027102
| 7.054096
| 7.254538
| 7.379187
| 7.305301
| 7.382363
| 7.588263
| 7.130105
| 7.016958
| 7.142182
| 6.955052
| 7.092573
| 7.204764
| 7.042525
| 6.929908
| 6.929165
| 7.194434
| 7.064415
|
hep-th/9405065
| null |
Sergio Ferrara
|
Supergravity and the quest for a unified theory
|
15 pages, latex
| null | null | null |
hep-th
| null |
A recollection of some theoretical developments that preceded and followed
the first formulation of supergravity theory is presented. Special emphasis is
placed on the impact of supergravity on the search for a unified theory of
fundamental interactions.
|
[
{
"created": "Tue, 10 May 1994 15:55:33 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Ferrara",
"Sergio",
""
]
] |
A recollection of some theoretical developments that preceded and followed the first formulation of supergravity theory is presented. Special emphasis is placed on the impact of supergravity on the search for a unified theory of fundamental interactions.
| 9.413148
| 7.958395
| 7.551055
| 6.945431
| 6.990929
| 7.204402
| 7.207664
| 7.074062
| 7.244134
| 6.78862
| 7.966265
| 6.751102
| 7.460149
| 6.969453
| 7.020415
| 6.988352
| 6.789681
| 6.947478
| 7.226051
| 6.887537
| 7.202291
|
1805.01492
|
Tobias Hansen
|
Miguel S. Costa, Tobias Hansen
|
AdS Weight Shifting Operators
|
62 pages, many figures, v2: JHEP version
|
JHEP 1809 (2018) 040
|
10.1007/JHEP09(2018)040
| null |
hep-th math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
We construct a new class of differential operators that naturally act on AdS
harmonic functions. These are weight shifting operators that change the spin
and dimension of AdS representations. Together with CFT weight shifting
operators, the new operators obey crossing equations that relate distinct
representations of the conformal group. We apply our findings to the
computation of Witten diagrams, focusing on the particular case of cubic
interactions and on massive, symmetric and traceless fields. In particular we
show that tree level 4-point Witten diagrams with arbitrary spins, both in the
external fields and in the exchanged field, can be reduced to the action of
weight shifting operators on similar 4-point Witten diagrams where all fields
are scalars. We also show how to obtain the conformal partial wave expansion of
these diagrams using the new set of operators. In the case of 1-loop diagrams
with cubic couplings we show how to reduce them to similar 1-loop diagrams with
scalar fields except for a single external spinning field (which must be a
scalar in the case of a two-point diagram). As a bonus, we provide new CFT and
AdS weight shifting operators for mixed-symmetry tensors.
|
[
{
"created": "Thu, 3 May 2018 18:15:01 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Sep 2018 09:16:21 GMT",
"version": "v2"
}
] |
2018-09-13
|
[
[
"Costa",
"Miguel S.",
""
],
[
"Hansen",
"Tobias",
""
]
] |
We construct a new class of differential operators that naturally act on AdS harmonic functions. These are weight shifting operators that change the spin and dimension of AdS representations. Together with CFT weight shifting operators, the new operators obey crossing equations that relate distinct representations of the conformal group. We apply our findings to the computation of Witten diagrams, focusing on the particular case of cubic interactions and on massive, symmetric and traceless fields. In particular we show that tree level 4-point Witten diagrams with arbitrary spins, both in the external fields and in the exchanged field, can be reduced to the action of weight shifting operators on similar 4-point Witten diagrams where all fields are scalars. We also show how to obtain the conformal partial wave expansion of these diagrams using the new set of operators. In the case of 1-loop diagrams with cubic couplings we show how to reduce them to similar 1-loop diagrams with scalar fields except for a single external spinning field (which must be a scalar in the case of a two-point diagram). As a bonus, we provide new CFT and AdS weight shifting operators for mixed-symmetry tensors.
| 7.838149
| 8.218932
| 8.808433
| 7.657029
| 8.859534
| 8.475639
| 9.345226
| 8.284002
| 7.926759
| 9.381924
| 7.933498
| 7.767999
| 8.009203
| 7.783601
| 7.7164
| 7.708989
| 7.976371
| 7.637746
| 7.726609
| 8.137814
| 7.856422
|
2110.03488
|
Daniel Reis
|
D. M. Reis and C. A. A. de Carvalho
|
Electromagnetic quantum shifts in relativistic Bose-Einstein
condensation
|
5 pages, 5 figures
| null |
10.1016/j.physletb.2021.136715
| null |
hep-th cond-mat.stat-mech quant-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We compute deviations from ideal gas behavior of the pressure, density, and
Bose-Einstein condensation temperature of a relativistic gas of charged scalar
bosons caused by the current-current interaction induced by electromagnetic
quantum fluctuations treated via scalar quantum electrodynamics. We obtain
expressions for those quantities in the ultra-relativistic and nonrelativistic
limits, and present numerical results for the relativistic case.
|
[
{
"created": "Thu, 7 Oct 2021 14:14:56 GMT",
"version": "v1"
}
] |
2021-11-10
|
[
[
"Reis",
"D. M.",
""
],
[
"de Carvalho",
"C. A. A.",
""
]
] |
We compute deviations from ideal gas behavior of the pressure, density, and Bose-Einstein condensation temperature of a relativistic gas of charged scalar bosons caused by the current-current interaction induced by electromagnetic quantum fluctuations treated via scalar quantum electrodynamics. We obtain expressions for those quantities in the ultra-relativistic and nonrelativistic limits, and present numerical results for the relativistic case.
| 10.271466
| 10.156642
| 8.444349
| 8.561887
| 9.304901
| 9.800368
| 9.496941
| 9.26877
| 8.795784
| 9.394001
| 9.769995
| 9.178782
| 8.662611
| 8.78551
| 9.049167
| 9.257479
| 9.251491
| 8.892787
| 9.114521
| 9.074168
| 8.92881
|
2111.02124
|
Marco Serone
|
Giovanni Galati and Marco Serone
|
Cancellation of IR Divergences in 3d Abelian Gauge Theories
|
22 pages; V2: JHEP published version
| null |
10.1007/JHEP02(2022)123
| null |
hep-th cond-mat.stat-mech cond-mat.str-el hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Three dimensional abelian gauge theories classically in a Coulomb phase are
affected by IR divergences even when the matter fields are all massive. Using
generalizations of Ward-Takahashi identities, we show that correlation
functions of gauge-invariant operators are IR finite to all orders in
perturbation theory. Gauge invariance is sufficient but not necessary for IR
finiteness. In particular we show that specific gauge-variant correlators,
including the two-point function of matter fields, are also IR finite to all
orders in perturbation theory. Possible applications of these results are
briefly discussed.
|
[
{
"created": "Wed, 3 Nov 2021 10:41:05 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Feb 2022 15:24:03 GMT",
"version": "v2"
}
] |
2022-03-09
|
[
[
"Galati",
"Giovanni",
""
],
[
"Serone",
"Marco",
""
]
] |
Three dimensional abelian gauge theories classically in a Coulomb phase are affected by IR divergences even when the matter fields are all massive. Using generalizations of Ward-Takahashi identities, we show that correlation functions of gauge-invariant operators are IR finite to all orders in perturbation theory. Gauge invariance is sufficient but not necessary for IR finiteness. In particular we show that specific gauge-variant correlators, including the two-point function of matter fields, are also IR finite to all orders in perturbation theory. Possible applications of these results are briefly discussed.
| 6.930276
| 5.897347
| 5.949821
| 5.366765
| 5.881874
| 5.989344
| 5.898537
| 5.679361
| 5.740435
| 6.399327
| 5.836253
| 5.779258
| 6.261529
| 5.836356
| 5.872768
| 5.814295
| 5.926215
| 5.801903
| 5.769172
| 6.352141
| 5.897226
|
1308.2959
|
Wei Li
|
Wei Li, Feng-Li Lin, and Chih-Wei Wang
|
Modular Properties of 3D Higher Spin Theory
|
51 pages; v2: minor corrections and additions; v3: final version, to
appear in JHEP
|
JHEP 1312:094,2013
|
10.1007/JHEP12(2013)094
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the three-dimensional sl(N) Chern-Simons higher-spin theory, we prove that
the conical surplus and the black hole solution are related by the
S-transformation of the modulus of the boundary torus. Then applying the
modular group on a given conical surplus solution, we generate a 'SL(2,Z)'
family of smooth constant solutions. We then show how these solutions are
mapped into one another by coordinate transformations that act non-trivially on
the homology of the boundary torus. After deriving a thermodynamics that
applies to all the solutions in the 'SL(2,Z)' family, we compute their
entropies and free energies, and determine how the latter transform under the
modular transformations. Summing over all the modular images of the conical
surplus, we write down a (tree-level) modular invariant partition function.
|
[
{
"created": "Tue, 13 Aug 2013 19:57:24 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Oct 2013 19:13:03 GMT",
"version": "v2"
},
{
"created": "Wed, 18 Dec 2013 15:14:09 GMT",
"version": "v3"
}
] |
2013-12-25
|
[
[
"Li",
"Wei",
""
],
[
"Lin",
"Feng-Li",
""
],
[
"Wang",
"Chih-Wei",
""
]
] |
In the three-dimensional sl(N) Chern-Simons higher-spin theory, we prove that the conical surplus and the black hole solution are related by the S-transformation of the modulus of the boundary torus. Then applying the modular group on a given conical surplus solution, we generate a 'SL(2,Z)' family of smooth constant solutions. We then show how these solutions are mapped into one another by coordinate transformations that act non-trivially on the homology of the boundary torus. After deriving a thermodynamics that applies to all the solutions in the 'SL(2,Z)' family, we compute their entropies and free energies, and determine how the latter transform under the modular transformations. Summing over all the modular images of the conical surplus, we write down a (tree-level) modular invariant partition function.
| 10.511323
| 10.167295
| 10.943971
| 9.671601
| 9.779496
| 10.223921
| 9.320312
| 10.064649
| 9.868625
| 11.605657
| 9.768721
| 10.133589
| 9.734555
| 9.623054
| 9.555542
| 9.669662
| 9.983013
| 9.65838
| 9.871328
| 10.150215
| 9.569459
|
1612.09581
|
Ryo Namba
|
Razieh Emami, Shinji Mukohyama, Ryo Namba, Ying-li Zhang
|
Stable solutions of inflation driven by vector fields
|
16 pages plus references; v2 matches JCAP published version, 17 pages
plus references, Section IV.E added on attractor condition against background
anisotropy
| null |
10.1088/1475-7516/2017/03/058
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Many models of inflation driven by vector fields alone have been known to be
plagued by pathological behaviors, namely ghost and/or gradient instabilities.
In this work, we seek a new class of vector-driven inflationary models that
evade all of the mentioned instabilities. We build our analysis on the
Generalized Proca Theory with an extension to three vector fields to realize
isotropic expansion. We obtain the conditions required for quasi de-Sitter
solutions to be an attractor analogous to the standard slow-roll one and those
for their stability at the level of linearized perturbations. Identifying the
remedy to the existing unstable models, we provide a simple example and
explicitly show its stability. This significantly broadens our knowledge on
vector inflationary scenarios, reviving potential phenomenological interests
for this class of models.
|
[
{
"created": "Fri, 30 Dec 2016 20:07:34 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Mar 2017 05:02:53 GMT",
"version": "v2"
}
] |
2017-04-05
|
[
[
"Emami",
"Razieh",
""
],
[
"Mukohyama",
"Shinji",
""
],
[
"Namba",
"Ryo",
""
],
[
"Zhang",
"Ying-li",
""
]
] |
Many models of inflation driven by vector fields alone have been known to be plagued by pathological behaviors, namely ghost and/or gradient instabilities. In this work, we seek a new class of vector-driven inflationary models that evade all of the mentioned instabilities. We build our analysis on the Generalized Proca Theory with an extension to three vector fields to realize isotropic expansion. We obtain the conditions required for quasi de-Sitter solutions to be an attractor analogous to the standard slow-roll one and those for their stability at the level of linearized perturbations. Identifying the remedy to the existing unstable models, we provide a simple example and explicitly show its stability. This significantly broadens our knowledge on vector inflationary scenarios, reviving potential phenomenological interests for this class of models.
| 12.88938
| 14.311904
| 12.633989
| 12.857931
| 13.234807
| 12.949305
| 12.381264
| 12.471311
| 12.620153
| 12.548817
| 12.725968
| 12.180824
| 11.543051
| 11.672004
| 11.558743
| 11.852273
| 12.032062
| 11.590677
| 11.96929
| 11.791258
| 12.54459
|
hep-th/9904038
|
Regina Maria Ricotta
|
Elso Drigo Filho and Regina Maria Ricotta
|
The Hierarchy of Hamiltonians for a Restricted Class of Natanzon
Potentials
|
9 pages
|
Braz.J.Phys.31:334-339,2001
| null | null |
hep-th
| null |
The restricted class of Natanzon potentials with two free parameters is
studied within the context of Supersymmetric Quantum Mechanics. The hierarchy
of Hamiltonians is indicated, where the first members of the superfamily are
explicitly evaluated and a general form for the superpotential is proposed.
|
[
{
"created": "Tue, 6 Apr 1999 21:16:59 GMT",
"version": "v1"
}
] |
2011-03-28
|
[
[
"Filho",
"Elso Drigo",
""
],
[
"Ricotta",
"Regina Maria",
""
]
] |
The restricted class of Natanzon potentials with two free parameters is studied within the context of Supersymmetric Quantum Mechanics. The hierarchy of Hamiltonians is indicated, where the first members of the superfamily are explicitly evaluated and a general form for the superpotential is proposed.
| 18.070024
| 15.365655
| 18.446604
| 12.464272
| 14.698634
| 14.08363
| 12.818374
| 14.351745
| 12.721304
| 20.124132
| 14.723418
| 13.417976
| 17.458811
| 13.209952
| 15.1822
| 14.781149
| 14.030354
| 13.766724
| 14.419998
| 18.185555
| 13.593108
|
0807.3191
|
Xingang Chen
|
Xingang Chen
|
Fine-Tuning in DBI Inflationary Mechanism
|
13 pages; v4, several discussions expanded, JCAP version
|
JCAP 0812:009,2008
|
10.1088/1475-7516/2008/12/009
|
MIT-CTP-3961
|
hep-th astro-ph hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show a model-independent fine-tuning issue in the DBI inflationary
mechanism. DBI inflation requires a warp factor h small enough to sufficiently
slow down the inflaton. On the other hand, the Einstein equation in extra
dimensions under the inflationary background deforms the warp space in the IR
side. Generically these two locations coincide with each other, spoiling the
DBI inflation. The origin and tuning of this ``h-problem'' is closely related,
through the AdS/CFT duality, to those of the well-known ``eta-problem'' in the
slow-roll inflationary mechanism.
|
[
{
"created": "Mon, 21 Jul 2008 17:04:20 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Jul 2008 19:25:35 GMT",
"version": "v2"
},
{
"created": "Sun, 27 Jul 2008 18:03:11 GMT",
"version": "v3"
},
{
"created": "Sun, 16 Nov 2008 19:52:48 GMT",
"version": "v4"
}
] |
2009-02-09
|
[
[
"Chen",
"Xingang",
""
]
] |
We show a model-independent fine-tuning issue in the DBI inflationary mechanism. DBI inflation requires a warp factor h small enough to sufficiently slow down the inflaton. On the other hand, the Einstein equation in extra dimensions under the inflationary background deforms the warp space in the IR side. Generically these two locations coincide with each other, spoiling the DBI inflation. The origin and tuning of this ``h-problem'' is closely related, through the AdS/CFT duality, to those of the well-known ``eta-problem'' in the slow-roll inflationary mechanism.
| 13.268943
| 12.526179
| 14.108294
| 12.90727
| 13.257671
| 13.58644
| 13.895375
| 11.663847
| 12.571737
| 14.315889
| 12.161721
| 11.993811
| 12.87903
| 12.544596
| 12.327008
| 12.288431
| 11.911898
| 11.816983
| 12.537521
| 12.754202
| 12.203125
|
hep-th/9807016
|
Bernard Knaepen
|
J. Antonio Garcia and Bernard Knaepen
|
Couplings between generalized gauge fields
|
13 pages, Latex, requires multibox.sty
|
Phys.Lett. B441 (1998) 198-204
|
10.1016/S0370-2693(98)01199-X
|
ULB-TH-98/13
|
hep-th
| null |
We analyze the BRST field-antifield construction for generalized gauge fields
consisting of massless mixed representations of the Lorentz Group and we
calculate all the strictly gauge invariant interactions between them. All these
interactions are higher derivative terms constructed out from the derivatives
of the curl of field strength.
|
[
{
"created": "Thu, 2 Jul 1998 13:23:32 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Garcia",
"J. Antonio",
""
],
[
"Knaepen",
"Bernard",
""
]
] |
We analyze the BRST field-antifield construction for generalized gauge fields consisting of massless mixed representations of the Lorentz Group and we calculate all the strictly gauge invariant interactions between them. All these interactions are higher derivative terms constructed out from the derivatives of the curl of field strength.
| 30.290981
| 24.091394
| 27.951519
| 20.608536
| 21.812809
| 21.956923
| 22.757257
| 23.928028
| 22.792406
| 30.692356
| 22.967354
| 24.730049
| 22.410074
| 21.356855
| 23.294687
| 22.445517
| 23.186413
| 22.628485
| 22.01791
| 23.751749
| 21.918516
|
hep-th/0610022
|
J. Antonio Garcia Zenteno
|
Alejandro Gaona and J. Antonio Garcia
|
First Order Actions and Duality
|
accepted for publication in IJMPA
|
Int.J.Mod.Phys.A22:851-867,2007
|
10.1142/S0217751X07034386
| null |
hep-th
| null |
We consider some aspects of classical S-duality transformations in first
order actions taken into account the general covariance of the Dirac algorithm
and the transformation properties of the Dirac bracket. By classical S-Duality
transformations we mean a field redefinition that interchanges the equations of
motion and its associated Bianchi identities. By working from a first order
variational principle and performing the corresponding Dirac analysis we find
that the standard electro-magnetic duality can be reformulated as a canonical
local transformation. The reduction from this phase space to the original phase
space variables coincides with the well known result about duality as a
canonical non local transformation. We have also applied our ideas to the
bosonic string. These Dualities are not canonical transformations for the Dirac
bracket and relate actions with different kinetic terms in the reduced space.
|
[
{
"created": "Mon, 2 Oct 2006 01:59:40 GMT",
"version": "v1"
}
] |
2010-10-27
|
[
[
"Gaona",
"Alejandro",
""
],
[
"Garcia",
"J. Antonio",
""
]
] |
We consider some aspects of classical S-duality transformations in first order actions taken into account the general covariance of the Dirac algorithm and the transformation properties of the Dirac bracket. By classical S-Duality transformations we mean a field redefinition that interchanges the equations of motion and its associated Bianchi identities. By working from a first order variational principle and performing the corresponding Dirac analysis we find that the standard electro-magnetic duality can be reformulated as a canonical local transformation. The reduction from this phase space to the original phase space variables coincides with the well known result about duality as a canonical non local transformation. We have also applied our ideas to the bosonic string. These Dualities are not canonical transformations for the Dirac bracket and relate actions with different kinetic terms in the reduced space.
| 15.678922
| 15.788422
| 16.164368
| 14.383589
| 15.819024
| 15.730165
| 14.460714
| 14.863206
| 15.586228
| 17.356718
| 14.892814
| 14.741838
| 14.955595
| 14.899659
| 14.884341
| 14.81336
| 15.460324
| 14.516973
| 14.843443
| 15.792743
| 14.977873
|
2210.07561
|
Akavoor Manu
|
Manu A. and Debodirna Ghosh
|
Classical spinning soft factors from gauge theory amplitudes
|
24 pages + Appendices
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
In this short note, we analyse low energy electromagnetic radiation for
spinning particles using the KMOC formalism and the quantum soft theorems. In
particular, we study low energy electromagnetic radiation emitted by the
so-called $\sqrt{\text{Kerr}}$ object. The $\sqrt{\text{Kerr}}$ is a solution
of the free Maxwell's equations with infinite multipole moments expressed
solely in terms of the charge(Q), mass(m) and spin(S) of the classical object .
We consider the scattering of two $\sqrt{\text{Kerr}}$ particles and using the
KMOC formalism generalised to spinning particles, we perturbatively prove the
classical subleading soft photon theorem to leading order in the low deflection
parameter and to $\mathcal{O}(S_{1}S_{2})$ in spin.
|
[
{
"created": "Fri, 14 Oct 2022 06:35:19 GMT",
"version": "v1"
}
] |
2022-10-17
|
[
[
"A.",
"Manu",
""
],
[
"Ghosh",
"Debodirna",
""
]
] |
In this short note, we analyse low energy electromagnetic radiation for spinning particles using the KMOC formalism and the quantum soft theorems. In particular, we study low energy electromagnetic radiation emitted by the so-called $\sqrt{\text{Kerr}}$ object. The $\sqrt{\text{Kerr}}$ is a solution of the free Maxwell's equations with infinite multipole moments expressed solely in terms of the charge(Q), mass(m) and spin(S) of the classical object . We consider the scattering of two $\sqrt{\text{Kerr}}$ particles and using the KMOC formalism generalised to spinning particles, we perturbatively prove the classical subleading soft photon theorem to leading order in the low deflection parameter and to $\mathcal{O}(S_{1}S_{2})$ in spin.
| 10.287911
| 8.324062
| 10.718957
| 8.316677
| 8.751674
| 8.202346
| 8.294008
| 8.416652
| 8.367373
| 10.734165
| 8.620138
| 8.62317
| 9.068106
| 8.647971
| 8.908341
| 8.606837
| 8.737774
| 8.522147
| 8.598001
| 9.182386
| 8.788734
|
1103.5832
|
Sergio Cecotti
|
Sergio Cecotti and Cumrun Vafa
|
Classification of complete N=2 supersymmetric theories in 4 dimensions
|
112 pages, 12 figures
|
Surveys in differential geometry, vol 18 (2013)
| null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We define the notion of a complete N=2 supersymmetric theory in 4 dimensions
as a UV complete theory for which all the BPS central charges can be
arbitrarily varied as we vary its Coulomb branch parameters, masses, and
coupling constants. We classify all such theories whose BPS spectrum can be
obtained via a quiver diagram. This is done using the 4d/2d correspondence and
by showing that such complete N=2 theories map to quivers of finite mutation
type. The list of such theories is given by the (generalized) Gaiotto theories
consisting of two 5-branes wrapping Riemann surfaces with punctures, as well as
11 additional exceptional cases, which we identify.
|
[
{
"created": "Wed, 30 Mar 2011 06:59:30 GMT",
"version": "v1"
}
] |
2013-04-12
|
[
[
"Cecotti",
"Sergio",
""
],
[
"Vafa",
"Cumrun",
""
]
] |
We define the notion of a complete N=2 supersymmetric theory in 4 dimensions as a UV complete theory for which all the BPS central charges can be arbitrarily varied as we vary its Coulomb branch parameters, masses, and coupling constants. We classify all such theories whose BPS spectrum can be obtained via a quiver diagram. This is done using the 4d/2d correspondence and by showing that such complete N=2 theories map to quivers of finite mutation type. The list of such theories is given by the (generalized) Gaiotto theories consisting of two 5-branes wrapping Riemann surfaces with punctures, as well as 11 additional exceptional cases, which we identify.
| 6.941265
| 9.56765
| 10.638769
| 8.252748
| 8.552305
| 8.013875
| 8.755324
| 8.465249
| 7.986133
| 10.260696
| 8.396516
| 8.277738
| 9.118795
| 7.892858
| 7.961661
| 8.067718
| 8.079436
| 8.296546
| 7.697167
| 9.020755
| 7.726354
|
0905.4928
|
Vasilis Oikonomou
|
V.K.Oikonomou
|
The Shape of Compact Toroidal Dimensions $T^d_{\theta}$ and the Casimir
Effect on $M^D\times T^d_{\theta}$ spacetime
|
18 pages
|
Commun.Theor.Phys.55:101-110, 2011
|
10.1088/0253-6102/55/1/20
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the influence of the shape of compact dimensions to the Casimir
energy and Casimir force of a scalar field. We examine both the massive and the
massless scalar field. The total spacetime topology is $M^D\times
T^2_{\theta}$, where $M^D$ is the $D$ dimensional Minkowski spacetime and
$T^2_{\theta}$ the twisted torus described by $R_1$, $R_2$ and $\theta$. For
the case $R_1=R_2$ we found that the massive bulk scalar field Casimir energy
is singular for $D$=even and this singularity is $R$-dependent and remains even
when the force is calculated. Also the massless Casimir energy and force is
regular only for D=4 (!). This is very interesting phenomenologically. We
examine the energy and force as a function of $\theta$. Also we address the
stabilization problem of the compact space. We also briefly discuss some
phenomenological implications.
|
[
{
"created": "Fri, 29 May 2009 17:50:45 GMT",
"version": "v1"
}
] |
2011-01-20
|
[
[
"Oikonomou",
"V. K.",
""
]
] |
We study the influence of the shape of compact dimensions to the Casimir energy and Casimir force of a scalar field. We examine both the massive and the massless scalar field. The total spacetime topology is $M^D\times T^2_{\theta}$, where $M^D$ is the $D$ dimensional Minkowski spacetime and $T^2_{\theta}$ the twisted torus described by $R_1$, $R_2$ and $\theta$. For the case $R_1=R_2$ we found that the massive bulk scalar field Casimir energy is singular for $D$=even and this singularity is $R$-dependent and remains even when the force is calculated. Also the massless Casimir energy and force is regular only for D=4 (!). This is very interesting phenomenologically. We examine the energy and force as a function of $\theta$. Also we address the stabilization problem of the compact space. We also briefly discuss some phenomenological implications.
| 7.827731
| 8.020907
| 7.440498
| 7.731778
| 7.729095
| 7.762926
| 7.80126
| 7.290313
| 7.332117
| 7.622411
| 7.345389
| 7.299934
| 7.307894
| 7.45152
| 7.379274
| 7.456196
| 7.451041
| 7.292959
| 7.353881
| 7.491242
| 7.342087
|
1912.07413
|
In Yong Park
|
I. Y. Park
|
Black hole evolution in quantum-gravitational framework
|
37 (29+8) pages, expanded (details added; discussion on the vacuum
transition probability added), references added, to appear in PTEP
|
PTEP 2021 (2021) 6, 063B03
|
10.1093/ptep/ptab045
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We found black hole evolution on a quantum-gravitational scattering framework
with an aim to tackle the black hole information paradox. With this setup,
various pieces of the system information are explicit from the start and
unitary evolution is manifest throughout. The scattering amplitudes factorize
into the perturbative part and nonperturbative part. The nonperturbative part
is dominated by an instanton-type contribution, i.e., a black hole analogue of
the Coleman-De Luccia's bounce solution, and we propose that the Hawking
radiation be identified with the particles generated by the vacuum decay. Our
results indicate that the black hole degrees of freedom are entangled not only
with the Hawking modes but also with the pre-Hawking modes. The Wald's entropy
charge measures their entanglement. The full quantum-gravitational entropy is
defined as the vev of the Wald entropy charge. With this definition a {\em
shifted} Page-like curve is generically generated and its quantum extension is
readily defined.
|
[
{
"created": "Mon, 16 Dec 2019 14:39:32 GMT",
"version": "v1"
},
{
"created": "Sun, 28 Mar 2021 17:10:30 GMT",
"version": "v2"
}
] |
2021-11-12
|
[
[
"Park",
"I. Y.",
""
]
] |
We found black hole evolution on a quantum-gravitational scattering framework with an aim to tackle the black hole information paradox. With this setup, various pieces of the system information are explicit from the start and unitary evolution is manifest throughout. The scattering amplitudes factorize into the perturbative part and nonperturbative part. The nonperturbative part is dominated by an instanton-type contribution, i.e., a black hole analogue of the Coleman-De Luccia's bounce solution, and we propose that the Hawking radiation be identified with the particles generated by the vacuum decay. Our results indicate that the black hole degrees of freedom are entangled not only with the Hawking modes but also with the pre-Hawking modes. The Wald's entropy charge measures their entanglement. The full quantum-gravitational entropy is defined as the vev of the Wald entropy charge. With this definition a {\em shifted} Page-like curve is generically generated and its quantum extension is readily defined.
| 14.21063
| 13.797895
| 14.05253
| 13.071223
| 13.559293
| 14.222063
| 14.138792
| 13.177141
| 13.132445
| 14.116245
| 13.216937
| 13.998974
| 13.045161
| 13.067889
| 13.546859
| 13.796411
| 13.655282
| 13.249473
| 13.58633
| 13.639856
| 13.347675
|
1902.04142
|
Sibylle Driezen
|
Sibylle Driezen, Alexander Sevrin and Daniel C. Thompson
|
Integrable asymmetric $\lambda$-deformations
|
25 pages, 1 figure
| null |
10.1007/JHEP04(2019)094
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct integrable deformations of the $\lambda$-type for asymmetrically
gauged WZW models. This is achieved by a modification of the Sfetsos gauging
procedure to account for a possible automorphism that is allowed in $G/G$
models. We verify classical integrability, derive the one-loop beta function
for the deformation parameter and give the construction of integrable D-brane
configurations in these models. As an application, we detail the case of the
$\lambda$-deformation of the cigar geometry corresponding to the axial gauged
$SL(2,R)/U(1)$ theory at large $k$. Here we also exhibit a range of both A-type
and B-type integrability preserving D-brane configurations.
|
[
{
"created": "Mon, 11 Feb 2019 20:54:55 GMT",
"version": "v1"
}
] |
2019-05-01
|
[
[
"Driezen",
"Sibylle",
""
],
[
"Sevrin",
"Alexander",
""
],
[
"Thompson",
"Daniel C.",
""
]
] |
We construct integrable deformations of the $\lambda$-type for asymmetrically gauged WZW models. This is achieved by a modification of the Sfetsos gauging procedure to account for a possible automorphism that is allowed in $G/G$ models. We verify classical integrability, derive the one-loop beta function for the deformation parameter and give the construction of integrable D-brane configurations in these models. As an application, we detail the case of the $\lambda$-deformation of the cigar geometry corresponding to the axial gauged $SL(2,R)/U(1)$ theory at large $k$. Here we also exhibit a range of both A-type and B-type integrability preserving D-brane configurations.
| 9.665928
| 9.191191
| 10.48944
| 8.805871
| 10.699337
| 8.867045
| 8.724196
| 9.030615
| 9.501987
| 11.20303
| 8.29702
| 9.124629
| 9.740317
| 9.093378
| 8.625358
| 8.681999
| 9.182932
| 8.698694
| 8.955375
| 9.924187
| 8.917645
|
2404.17469
|
Niall Macpherson
|
Yolanda Lozano, Niall T. Macpherson, Nicol\`o Petri, Anayeli Ram\'irez
|
Holographic $\frac{1}{2}$-BPS surface defects in ABJM
|
35 pages, 7 figures. v2: Improved figures and minor corrections
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We study the class of $\text{AdS}_3\times \mathbb{CP}^3$ solutions to massive
Type IIA supergravity with $\mathfrak{osp}(6|2)$ superconformal algebra
recently constructed in arXiv:2304.12207 [hep-th]. These solutions are
foliations over an interval preserving $\mathcal{N}=(0,6)$ supersymmetry in two
dimensions, that in the massless limit can be mapped to the $\text{AdS}_4\times
\mathbb{CP}^3$ solution of ABJM/ABJ. We show that in the massive case extra
NS5-D8 branes, that we interpret as $\frac{1}{2}$-BPS surface defect branes
within the ABJ theory, backreact in the geometry and turn one of the 3d field
theory directions onto an energy scale, generating a flow towards a 2d CFT. We
construct explicit quiver field theories that we propose flow in the IR to the
$(0,6)$ SCFTs dual to the solutions. Finally, we show that the $\text{AdS}_3$
solutions realise geometrically, in terms of large gauge transformations, an
extension to the massive case of Seiberg duality in ABJ theories proposed in
the literature.
|
[
{
"created": "Fri, 26 Apr 2024 15:09:44 GMT",
"version": "v1"
},
{
"created": "Wed, 15 May 2024 15:02:07 GMT",
"version": "v2"
}
] |
2024-05-16
|
[
[
"Lozano",
"Yolanda",
""
],
[
"Macpherson",
"Niall T.",
""
],
[
"Petri",
"Nicolò",
""
],
[
"Ramírez",
"Anayeli",
""
]
] |
We study the class of $\text{AdS}_3\times \mathbb{CP}^3$ solutions to massive Type IIA supergravity with $\mathfrak{osp}(6|2)$ superconformal algebra recently constructed in arXiv:2304.12207 [hep-th]. These solutions are foliations over an interval preserving $\mathcal{N}=(0,6)$ supersymmetry in two dimensions, that in the massless limit can be mapped to the $\text{AdS}_4\times \mathbb{CP}^3$ solution of ABJM/ABJ. We show that in the massive case extra NS5-D8 branes, that we interpret as $\frac{1}{2}$-BPS surface defect branes within the ABJ theory, backreact in the geometry and turn one of the 3d field theory directions onto an energy scale, generating a flow towards a 2d CFT. We construct explicit quiver field theories that we propose flow in the IR to the $(0,6)$ SCFTs dual to the solutions. Finally, we show that the $\text{AdS}_3$ solutions realise geometrically, in terms of large gauge transformations, an extension to the massive case of Seiberg duality in ABJ theories proposed in the literature.
| 7.51416
| 6.904377
| 8.268497
| 6.466149
| 6.350218
| 6.56672
| 6.728788
| 6.484578
| 6.712363
| 8.532326
| 6.522865
| 6.595609
| 7.50638
| 6.670363
| 6.48785
| 6.764259
| 6.624899
| 6.760988
| 6.807226
| 7.541629
| 6.815833
|
hep-th/9812205
|
Bobby Samir Acharya
|
B.S. Acharya
|
M theory, Joyce Orbifolds and Super Yang-Mills
|
v2: A careless error which appeared at the end of section four and
propagated to section six has been corrected. (The mistake was to identify
the Coxeter number of the gauge group with the order of a certain finite
group). The results are unchanged. Some references have also been added. v3:
A previously unrecognised monodromy recognised. New monodromy free examples
added. 21 pages, Latex
|
Adv.Theor.Math.Phys. 3 (1999) 227-248
| null |
QMW-PH-98-42
|
hep-th
| null |
We geometrically engineer d=4 N=1 supersymmetric Yang-Mills theories by
considering M theory on various Joyce orbifolds. We argue that the
superpotential of these models is generated by fractional membrane instantons.
The relation of this superpotential to membrane anomalies is also discussed.
|
[
{
"created": "Tue, 22 Dec 1998 14:46:59 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Jan 1999 18:12:11 GMT",
"version": "v2"
},
{
"created": "Tue, 1 Jun 1999 16:09:25 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Acharya",
"B. S.",
""
]
] |
We geometrically engineer d=4 N=1 supersymmetric Yang-Mills theories by considering M theory on various Joyce orbifolds. We argue that the superpotential of these models is generated by fractional membrane instantons. The relation of this superpotential to membrane anomalies is also discussed.
| 13.723323
| 9.477196
| 11.704318
| 9.756124
| 9.797504
| 9.107438
| 10.280911
| 8.348509
| 9.076974
| 12.673874
| 9.5822
| 9.767028
| 11.91832
| 10.413352
| 10.003646
| 10.740515
| 10.131752
| 10.85091
| 10.258447
| 12.297053
| 10.345655
|
2303.02752
|
Shubho Roy
|
Gaurav Katoch, Jie Ren, Shubho R. Roy
|
Quantum complexity and bulk timelike singularities
|
37 pages, 3 figures, Version accepted for publication in JHEP
|
JHEP 12 (2023) 085
|
10.1007/JHEP12(2023)085
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Quantum complexity has already shed light on CFT states dual to bulk
geometries containing spacelike singularities \cite{Barbon:2015ria,
Bolognesi:2018ion, Caputa:2021pad}. In this work, we turn our attention to
quantum complexity of CFT/quantum gravity states dual to bulk geometries with a
naked timelike singularity. The appearance of naked timelike singularities in
semiclassical gravity is allowed in string theory, particularly in the context
of holography, so long as they satisfy the \emph{Gubser criterion}
\cite{Gubser:2000nd, Gursoy:2008za}. In this work, we use holographic
complexity as a probe on geometries containing naked timelike singularities and
explore potential relation to the Gubser criterion for detecting allowable
naked timelike singularities. We study three specific cases, namely the
negative mass Schwarzschild-AdS spacetime, the timelike Kasner-AdS
\cite{Ren:2016xhb} and Einstein-dilaton system \cite{Ren:2019lgw}. The first
two cases are outright ruled out by the Gubser criterion while the third case
is more subtle - according to the Gubser criterion the singularity switches
from forbidden to admissible as the parameter $\alpha$ is dialed in the range
$[0,1]$ across the transition point at $\alpha = 1/\sqrt{3}$. We probe all
three geometries using two holographic complexity prescriptions, namely CA and
CV. For the case of the negative mass SAdS and timelike Kasner-AdS$_4$ the
complexities display no sign of pathology (both receive finite contribution
from the naked singularity). For the Einstein-Dilaton case, action-complexity
does display a sharp transition from physical positive values to patholgical
negative divergent values (arising from the singularity) as one transcends the
Gubser bound. Our study suggests that neither action-complexity (CA) nor
volume-complexity (CV) can serve as a sensitive tool to investigate (naked)
timelike singularities.
|
[
{
"created": "Sun, 5 Mar 2023 19:15:46 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Nov 2023 17:42:49 GMT",
"version": "v2"
}
] |
2024-04-09
|
[
[
"Katoch",
"Gaurav",
""
],
[
"Ren",
"Jie",
""
],
[
"Roy",
"Shubho R.",
""
]
] |
Quantum complexity has already shed light on CFT states dual to bulk geometries containing spacelike singularities \cite{Barbon:2015ria, Bolognesi:2018ion, Caputa:2021pad}. In this work, we turn our attention to quantum complexity of CFT/quantum gravity states dual to bulk geometries with a naked timelike singularity. The appearance of naked timelike singularities in semiclassical gravity is allowed in string theory, particularly in the context of holography, so long as they satisfy the \emph{Gubser criterion} \cite{Gubser:2000nd, Gursoy:2008za}. In this work, we use holographic complexity as a probe on geometries containing naked timelike singularities and explore potential relation to the Gubser criterion for detecting allowable naked timelike singularities. We study three specific cases, namely the negative mass Schwarzschild-AdS spacetime, the timelike Kasner-AdS \cite{Ren:2016xhb} and Einstein-dilaton system \cite{Ren:2019lgw}. The first two cases are outright ruled out by the Gubser criterion while the third case is more subtle - according to the Gubser criterion the singularity switches from forbidden to admissible as the parameter $\alpha$ is dialed in the range $[0,1]$ across the transition point at $\alpha = 1/\sqrt{3}$. We probe all three geometries using two holographic complexity prescriptions, namely CA and CV. For the case of the negative mass SAdS and timelike Kasner-AdS$_4$ the complexities display no sign of pathology (both receive finite contribution from the naked singularity). For the Einstein-Dilaton case, action-complexity does display a sharp transition from physical positive values to patholgical negative divergent values (arising from the singularity) as one transcends the Gubser bound. Our study suggests that neither action-complexity (CA) nor volume-complexity (CV) can serve as a sensitive tool to investigate (naked) timelike singularities.
| 7.55673
| 8.292806
| 8.65437
| 8.09396
| 8.922297
| 8.528212
| 8.668919
| 8.642071
| 8.3125
| 9.382797
| 7.853645
| 7.725565
| 7.690463
| 7.452796
| 7.566487
| 7.750763
| 7.650985
| 7.841199
| 7.540532
| 7.946668
| 7.560055
|
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