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2.01k
| perplexity_Llama-3.1-8B
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431
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float64 2.88
422
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float64 2.95
414
| perplexity_s6-L-3.1-8B-base
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340
| perplexity_s7-L-3.1-8B-base
float64 2.91
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| perplexity_s8-L-3.1-8B-base
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1.68k
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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2108.06483
|
Silvia Penati sp
|
Silvia Penati
|
Superconformal line defects in 3D
|
42 pages. Contribution to the Open Access Special Issue "Women
Physicists in Astrophysics, Cosmology and Particle Physics", Universe, ISSN
2218-1997, IF 1.752
| null | null | null |
hep-th
|
http://creativecommons.org/publicdomain/zero/1.0/
|
We review recent progress in the study of line defects in three-dimensional
Chern-Simons-matter superconformal field theories, notably the ABJM theory. The
first part is focused on kinematical defects supporting a topological sector of
the theory. After reviewing the construction of this sector, we concentrate on
the evaluation of topological correlators from the partition function of the
mass-deformed ABJM theory and provide evidence on the existence of a
topological quantum mechanics living on the line. In the second part, we
consider dynamical defects realized as latitude BPS Wilson loops for which an
exact evaluation is available in terms of a latitude Matrix Model. We discuss
the fundamental relation between these operators, the defect superconformal
field theory and bulk physical quantities like the Bremsstrahlung function.
This relation assigns a privileged role to BPS Wilson operators, which become
the meeting point for three exact approaches, localization, integrability and
conformal bootstrap.
|
[
{
"created": "Sat, 14 Aug 2021 08:06:23 GMT",
"version": "v1"
}
] |
2021-08-17
|
[
[
"Penati",
"Silvia",
""
]
] |
We review recent progress in the study of line defects in three-dimensional Chern-Simons-matter superconformal field theories, notably the ABJM theory. The first part is focused on kinematical defects supporting a topological sector of the theory. After reviewing the construction of this sector, we concentrate on the evaluation of topological correlators from the partition function of the mass-deformed ABJM theory and provide evidence on the existence of a topological quantum mechanics living on the line. In the second part, we consider dynamical defects realized as latitude BPS Wilson loops for which an exact evaluation is available in terms of a latitude Matrix Model. We discuss the fundamental relation between these operators, the defect superconformal field theory and bulk physical quantities like the Bremsstrahlung function. This relation assigns a privileged role to BPS Wilson operators, which become the meeting point for three exact approaches, localization, integrability and conformal bootstrap.
| 11.34824
| 11.042366
| 13.473833
| 10.538109
| 11.477448
| 10.8746
| 11.212127
| 10.489427
| 10.306378
| 15.021015
| 10.912163
| 10.389763
| 12.038764
| 10.638442
| 10.830642
| 10.940529
| 10.924278
| 10.685166
| 10.792196
| 11.533917
| 10.803617
|
1512.03376
|
Arash Arabi Ardehali
|
Arash Arabi Ardehali
|
High-temperature asymptotics of supersymmetric partition functions
|
54+10 pages; 9 figures. v8: more typos corrected; analysis of the BCI
model corrected thanks to input from Jonas Jagminas. Supersedes published
version
| null |
10.1007/JHEP07(2016)025
|
MCTP-15-27
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the supersymmetric partition function of 4d supersymmetric gauge
theories with a U(1) R-symmetry on Euclidean $S^3\times S_\beta^1$, with $S^3$
the unit-radius squashed three-sphere, and $\beta$ the circumference of the
circle. For superconformal theories, this partition function coincides (up to a
Casimir energy factor) with the 4d superconformal index.
The partition function can be computed exactly using supersymmetric
localization of the gauge theory path-integral. It takes the form of an
elliptic hypergeometric integral, which may be viewed as a matrix-integral over
the moduli space of the holonomies of the gauge fields around $S_\beta^1$. At
high temperatures ($\beta\to 0$, corresponding to the hyperbolic limit of the
elliptic hypergeometric integral) we obtain from the matrix-integral a quantum
effective potential for the holonomies. The effective potential is proportional
to the temperature. Therefore the high-temperature limit further localizes the
matrix-integral to the locus of the minima of the potential. If the effective
potential is positive semi-definite, the leading high-temperature asymptotics
of the partition function is given by the formula of Di Pietro and Komargodski,
and the subleading asymptotics is connected to the Coulomb branch dynamics on
$R^3\times S^1$. In theories where the effective potential is not positive
semi-definite, the Di Pietro-Komargodski formula needs to be modified. In
particular, this modification occurs in the SU(2) theory of
Intriligator-Seiberg-Shenker, and the SO(N) theory of Brodie-Cho-Intriligator,
both believed to exhibit "misleading" anomaly matchings, and both believed to
yield interacting superconformal field theories with $c<a$.
Two new simple tests for dualities between 4d supersymmetric gauge theories
emerge as byproducts of our analysis.
|
[
{
"created": "Thu, 10 Dec 2015 19:32:57 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Dec 2015 20:49:05 GMT",
"version": "v2"
},
{
"created": "Mon, 21 Dec 2015 16:46:51 GMT",
"version": "v3"
},
{
"created": "Mon, 28 Dec 2015 18:20:20 GMT",
"version": "v4"
},
{
"created": "Sat, 6 Feb 2016 06:07:14 GMT",
"version": "v5"
},
{
"created": "Tue, 7 Jun 2016 18:18:20 GMT",
"version": "v6"
},
{
"created": "Mon, 18 Feb 2019 10:07:01 GMT",
"version": "v7"
},
{
"created": "Sat, 2 Oct 2021 01:15:35 GMT",
"version": "v8"
}
] |
2021-10-05
|
[
[
"Ardehali",
"Arash Arabi",
""
]
] |
We study the supersymmetric partition function of 4d supersymmetric gauge theories with a U(1) R-symmetry on Euclidean $S^3\times S_\beta^1$, with $S^3$ the unit-radius squashed three-sphere, and $\beta$ the circumference of the circle. For superconformal theories, this partition function coincides (up to a Casimir energy factor) with the 4d superconformal index. The partition function can be computed exactly using supersymmetric localization of the gauge theory path-integral. It takes the form of an elliptic hypergeometric integral, which may be viewed as a matrix-integral over the moduli space of the holonomies of the gauge fields around $S_\beta^1$. At high temperatures ($\beta\to 0$, corresponding to the hyperbolic limit of the elliptic hypergeometric integral) we obtain from the matrix-integral a quantum effective potential for the holonomies. The effective potential is proportional to the temperature. Therefore the high-temperature limit further localizes the matrix-integral to the locus of the minima of the potential. If the effective potential is positive semi-definite, the leading high-temperature asymptotics of the partition function is given by the formula of Di Pietro and Komargodski, and the subleading asymptotics is connected to the Coulomb branch dynamics on $R^3\times S^1$. In theories where the effective potential is not positive semi-definite, the Di Pietro-Komargodski formula needs to be modified. In particular, this modification occurs in the SU(2) theory of Intriligator-Seiberg-Shenker, and the SO(N) theory of Brodie-Cho-Intriligator, both believed to exhibit "misleading" anomaly matchings, and both believed to yield interacting superconformal field theories with $c<a$. Two new simple tests for dualities between 4d supersymmetric gauge theories emerge as byproducts of our analysis.
| 5.905109
| 6.410379
| 7.459342
| 6.058685
| 6.92658
| 6.613233
| 6.625069
| 6.278758
| 6.367049
| 7.846439
| 5.863754
| 6.061471
| 6.051568
| 6.028005
| 6.00185
| 5.985026
| 6.00595
| 5.876306
| 6.132889
| 6.108672
| 5.900646
|
2108.10144
|
Hoang Nam Cao
|
Cao H. Nam
|
Entanglement entropy and Page curve of black holes with island in
massive gravity
|
33 pages, 10 figures. Introduction and conclusion updated, references
and two figures added, version published in EPJC
| null |
10.1140/epjc/s10052-022-10343-8
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
By applying the island rule proposed recently, we compute the entanglement
entropy of Hawking radiation and study the Page curve for the eternal black
holes in massive gravity. We investigate for both the neutral and charged black
holes which the corresponding results of Schwarzschild and
Reissner-Nordstr\"{o}m black holes are restored in the limit of massless
graviton. We show for the neutral and non-extremal charged black holes that the
island is not formed at the early times of the evaporation and hence the
entanglement entropy increases linearly in time. However, for the extremal
charged black hole, the calculation of the entanglement entropy at the early
times without the island is ill-defined because the metric is divergent at the
curvature singularity. This implies that new physics in the UV region must be
taken into account to make the metric behaving smoothly at the very short
distances. At the late times, with the emergence of one island near the event
horizon, the entanglement entropy is saturated by the Bekenstein-Hawking
entropy of black holes. In addition, we analyze the impact of massive gravity
parameters on the size of island, the entanglement entropy, the Page time, and
the scrambling time in detail.
|
[
{
"created": "Mon, 23 Aug 2021 13:04:05 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Apr 2022 04:05:19 GMT",
"version": "v2"
}
] |
2022-05-18
|
[
[
"Nam",
"Cao H.",
""
]
] |
By applying the island rule proposed recently, we compute the entanglement entropy of Hawking radiation and study the Page curve for the eternal black holes in massive gravity. We investigate for both the neutral and charged black holes which the corresponding results of Schwarzschild and Reissner-Nordstr\"{o}m black holes are restored in the limit of massless graviton. We show for the neutral and non-extremal charged black holes that the island is not formed at the early times of the evaporation and hence the entanglement entropy increases linearly in time. However, for the extremal charged black hole, the calculation of the entanglement entropy at the early times without the island is ill-defined because the metric is divergent at the curvature singularity. This implies that new physics in the UV region must be taken into account to make the metric behaving smoothly at the very short distances. At the late times, with the emergence of one island near the event horizon, the entanglement entropy is saturated by the Bekenstein-Hawking entropy of black holes. In addition, we analyze the impact of massive gravity parameters on the size of island, the entanglement entropy, the Page time, and the scrambling time in detail.
| 6.598514
| 5.524428
| 6.105687
| 5.490108
| 5.835825
| 5.314265
| 5.402224
| 5.676554
| 5.460581
| 6.550722
| 5.680344
| 5.998753
| 6.07597
| 5.869944
| 5.922005
| 5.724484
| 5.818686
| 5.861658
| 5.975535
| 6.105894
| 5.988574
|
0903.4630
|
Kallosh Renata
|
Renata Kallosh
|
N=8 Supergravity on the Light Cone
|
38 p
| null |
10.1103/PhysRevD.80.105022
|
SU-ITP-2009-15
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct the generating functional for the light-cone superfield
amplitudes in a chiral momentum superspace. It generates the n-point particle
amplitudes which on shell are equivalent to the covariant ones. Based on the
action depending on unconstrained light-cone chiral scalar superfield, this
functional provides a regular d=4 QFT path integral derivation of the Nair-type
amplitude constructions.
By performing a Fourier transform into the light-cone chiral coordinate
superspace we find that the quantum corrections to the superfield amplitudes
with n legs are non-local in transverse directions for the diagrams with the
number of loops smaller than n(n-1)/2 +1. This suggests the reason why UV
infinities, which are proportional to local vertices, cannot appear at least
before 7 loops in the light-cone supergraph computations. By combining the E7
symmetry with the supersymmetric recursion relations we argue that the
light-cone supergraphs predict all loop finiteness of d=4 N=8 supergravity.
|
[
{
"created": "Thu, 26 Mar 2009 18:10:08 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Dec 2009 17:10:10 GMT",
"version": "v2"
}
] |
2013-05-29
|
[
[
"Kallosh",
"Renata",
""
]
] |
We construct the generating functional for the light-cone superfield amplitudes in a chiral momentum superspace. It generates the n-point particle amplitudes which on shell are equivalent to the covariant ones. Based on the action depending on unconstrained light-cone chiral scalar superfield, this functional provides a regular d=4 QFT path integral derivation of the Nair-type amplitude constructions. By performing a Fourier transform into the light-cone chiral coordinate superspace we find that the quantum corrections to the superfield amplitudes with n legs are non-local in transverse directions for the diagrams with the number of loops smaller than n(n-1)/2 +1. This suggests the reason why UV infinities, which are proportional to local vertices, cannot appear at least before 7 loops in the light-cone supergraph computations. By combining the E7 symmetry with the supersymmetric recursion relations we argue that the light-cone supergraphs predict all loop finiteness of d=4 N=8 supergravity.
| 13.648935
| 15.130795
| 16.606995
| 13.419905
| 14.341131
| 15.136506
| 15.008881
| 13.455938
| 12.98836
| 16.133781
| 12.85178
| 13.031017
| 14.073589
| 12.755465
| 13.075711
| 13.107414
| 13.440766
| 13.24903
| 12.948159
| 14.059659
| 12.958478
|
hep-th/0206122
|
Tsuda
|
K.Shima and M.Tsuda
|
Linearization of N = 2 Nonlinear Supersymmetry and Spontaneous
Supersymmetry Breaking Parameters
|
9 pages, Latex
| null | null |
SIT-LP-02/06
|
hep-th
| null |
We show explicitly by the heuristic and practical arguments that for $N = 2$
supersymmetry (SUSY) a SUSY invariant relation between component fields of a
vector supermultiplet of linear SUSY and Nambu-Goldstone fermions of the
Volkov-Akulov model of nonlinear SUSY is written by using only three arbitrary
dimensionless parameters, which can be recasted as the vacuum expectation
values of auxiliary fields in the vector supermultiplet.
|
[
{
"created": "Fri, 14 Jun 2002 05:50:18 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Shima",
"K.",
""
],
[
"Tsuda",
"M.",
""
]
] |
We show explicitly by the heuristic and practical arguments that for $N = 2$ supersymmetry (SUSY) a SUSY invariant relation between component fields of a vector supermultiplet of linear SUSY and Nambu-Goldstone fermions of the Volkov-Akulov model of nonlinear SUSY is written by using only three arbitrary dimensionless parameters, which can be recasted as the vacuum expectation values of auxiliary fields in the vector supermultiplet.
| 11.267787
| 9.628173
| 11.411535
| 8.82688
| 9.822729
| 8.224424
| 9.224641
| 9.704958
| 9.49733
| 11.158985
| 9.48241
| 10.188453
| 10.383243
| 9.484075
| 10.194082
| 10.020761
| 9.889727
| 9.445745
| 9.772779
| 10.107227
| 10.11849
|
1605.02662
|
Mikhail A. Vasiliev
|
M.A. Vasiliev
|
Current Interactions and Holography from the 0-Form Sector of Nonlinear
Higher-Spin Equations
|
29 pages; V2: Discussion of locality is reduced in favor of a focused
forthcoming paper. The title is modified correspondingly. Coefficients and
typos corrected. 26 pages; V3: Section 5.2 explaining the idea of derivation
of the main result and references are added. The Journal version. 28 pages
| null |
10.1007/JHEP10(2017)111
|
FIAN/TD/10-16
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The form of higher-spin current interactions in $AdS_4$ is derived from the
full nonlinear higher-spin equations in the sector of Weyl 0-forms. The
coupling constant in front of spin-one currents built from scalars and spinors
as well as Yukawa coupling are determined explicitly. Couplings of all other
higher-spin current interactions are determined implicitly. All couplings are
shown to be independent of the phase parameter of the nonlinear higher-spin
theory. The proper holographic dependence of the vertex on the higher-spin
phase parameter is shown to result from the boundary conditions on the bulk
fields.
|
[
{
"created": "Mon, 9 May 2016 17:19:01 GMT",
"version": "v1"
},
{
"created": "Mon, 8 May 2017 17:48:48 GMT",
"version": "v2"
},
{
"created": "Sun, 15 Oct 2017 23:10:23 GMT",
"version": "v3"
}
] |
2017-11-22
|
[
[
"Vasiliev",
"M. A.",
""
]
] |
The form of higher-spin current interactions in $AdS_4$ is derived from the full nonlinear higher-spin equations in the sector of Weyl 0-forms. The coupling constant in front of spin-one currents built from scalars and spinors as well as Yukawa coupling are determined explicitly. Couplings of all other higher-spin current interactions are determined implicitly. All couplings are shown to be independent of the phase parameter of the nonlinear higher-spin theory. The proper holographic dependence of the vertex on the higher-spin phase parameter is shown to result from the boundary conditions on the bulk fields.
| 11.772412
| 11.140435
| 13.725191
| 12.006027
| 12.318564
| 10.805494
| 11.969241
| 11.254326
| 11.723186
| 14.572582
| 11.308655
| 11.103969
| 12.884126
| 11.509
| 11.761925
| 11.194816
| 11.3718
| 11.484024
| 11.327661
| 12.712777
| 11.413347
|
hep-th/9801138
|
T. Padmanabhan
|
T. Padmanabhan
|
Event horizon - Magnifying glass for Planck length physics
| null |
Phys.Rev.D59:124012,1999
|
10.1103/PhysRevD.59.124012
|
IUCAA preprint 4/98 - Jan, 98
|
hep-th gr-qc
| null |
An attempt is made to describe the `thermodynamics' of semiclassical
spacetime without specifying the detailed `molecular structure' of the quantum
spacetime, using the known properties of blackholes. I give detailed arguments,
essentially based on the behaviour of quantum systems near the event horizon,
which suggest that event horizon acts as a magnifying glass to probe Planck
length physics even in those contexts in which the spacetime curvature is
arbitrarily low. The quantum state describing a blackhole, in any microscopic
description of spacetime, has to possess certain universal form of density of
states which can be ascertained from general considerations. Since a blackhole
can be formed from the collapse of any physical system with a low energy
Hamiltonian H, it is suggested that when such a system collapses to form a
blackhole, it should be described by a modified Hamiltonian of the form
$H^2_{\rm mod} =A^2 \ln (1+ H^2/A^2)$ where $A^2 \propto E_P^2$.I also show
that it is possible to construct several physical systems which have the
blackhole density of states and hence will be indistinguishable from a
blackhole as far as thermodynamic interactions are concerned. In particular,
blackholes can be thought of as one-particle excitations of a class of {\it
nonlocal} field theories with the thermodynamics of blackholes arising
essentially from the asymptotic form of the dispersion relation satisfied by
these excitations. These field theoretic models have correlation functions with
a universal short distance behaviour, which translates into the generic
behaviour of semiclassical blackholes. Several implications of this paradigm
are discussed.
|
[
{
"created": "Tue, 20 Jan 1998 13:18:21 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Padmanabhan",
"T.",
""
]
] |
An attempt is made to describe the `thermodynamics' of semiclassical spacetime without specifying the detailed `molecular structure' of the quantum spacetime, using the known properties of blackholes. I give detailed arguments, essentially based on the behaviour of quantum systems near the event horizon, which suggest that event horizon acts as a magnifying glass to probe Planck length physics even in those contexts in which the spacetime curvature is arbitrarily low. The quantum state describing a blackhole, in any microscopic description of spacetime, has to possess certain universal form of density of states which can be ascertained from general considerations. Since a blackhole can be formed from the collapse of any physical system with a low energy Hamiltonian H, it is suggested that when such a system collapses to form a blackhole, it should be described by a modified Hamiltonian of the form $H^2_{\rm mod} =A^2 \ln (1+ H^2/A^2)$ where $A^2 \propto E_P^2$.I also show that it is possible to construct several physical systems which have the blackhole density of states and hence will be indistinguishable from a blackhole as far as thermodynamic interactions are concerned. In particular, blackholes can be thought of as one-particle excitations of a class of {\it nonlocal} field theories with the thermodynamics of blackholes arising essentially from the asymptotic form of the dispersion relation satisfied by these excitations. These field theoretic models have correlation functions with a universal short distance behaviour, which translates into the generic behaviour of semiclassical blackholes. Several implications of this paradigm are discussed.
| 10.22583
| 11.112949
| 10.12333
| 10.049139
| 10.447183
| 10.860834
| 10.840119
| 9.878237
| 10.262459
| 11.251704
| 10.183675
| 10.021715
| 9.832625
| 9.814363
| 9.634738
| 9.897243
| 9.90418
| 9.923198
| 9.91968
| 9.924539
| 9.873525
|
1111.2684
|
Shunichiro Kinoshita
|
Shunichiro Kinoshita and Norihiro Tanahashi
|
Hawking temperature for near-equilibrium black holes
|
13 pages, 7 figures, REVTeX4; published in PRD
| null |
10.1103/PhysRevD.85.024050
|
KUNS-2372
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss the Hawking temperature of near-equilibrium black holes using a
semiclassical analysis. We introduce a useful expansion method for slowly
evolving spacetime, and evaluate the Bogoliubov coefficients using the saddle
point approximation. For a spacetime whose evolution is sufficiently slow, such
as a black hole with slowly changing mass, we find that the temperature is
determined by the surface gravity of the past horizon. As an example of
applications of these results, we study the Hawking temperature of black holes
with null shell accretion in asymptotically flat space and the AdS-Vaidya
spacetime. We discuss implications of our results in the context of the AdS/CFT
correspondence.
|
[
{
"created": "Fri, 11 Nov 2011 08:55:22 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Jan 2012 15:16:23 GMT",
"version": "v2"
}
] |
2012-01-31
|
[
[
"Kinoshita",
"Shunichiro",
""
],
[
"Tanahashi",
"Norihiro",
""
]
] |
We discuss the Hawking temperature of near-equilibrium black holes using a semiclassical analysis. We introduce a useful expansion method for slowly evolving spacetime, and evaluate the Bogoliubov coefficients using the saddle point approximation. For a spacetime whose evolution is sufficiently slow, such as a black hole with slowly changing mass, we find that the temperature is determined by the surface gravity of the past horizon. As an example of applications of these results, we study the Hawking temperature of black holes with null shell accretion in asymptotically flat space and the AdS-Vaidya spacetime. We discuss implications of our results in the context of the AdS/CFT correspondence.
| 7.334635
| 6.626767
| 7.143265
| 6.657549
| 7.050299
| 7.166381
| 7.170332
| 6.610132
| 6.936717
| 7.142973
| 6.966597
| 6.75998
| 6.851305
| 6.767836
| 6.714219
| 6.915693
| 6.849499
| 6.735212
| 6.969948
| 7.300723
| 6.858708
|
1010.1727
|
Jnanadeva Maharana
|
Jnanadeva Maharana
|
Duality Symmetry of String Theory: A Worldsheet Perspective
|
14 pages
|
Phys.Lett.B695:370-375,2011
|
10.1016/j.physletb.2010.11.034
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study duality and local symmetries of closed bosonic string from the
perspectives of worldsheet approach in the phase space path integral formalism.
It is shown that the Ward identities reflecting the local symmetries associated
with massless excitations such as graviton and antisymmetric tensor can be cast
in a duality covariant form. It is shown how the manifestly O(d,d) invariant
Hamiltonian can be obtained in the Hassan-Sen toroidal compactification scheme,
d being the number of compact dimensions. It is proposed that massive excited
states possess a T-duality symmetry for constant (tensor) backgrounds. This
conjecture is verified for the first massive level.
|
[
{
"created": "Fri, 8 Oct 2010 16:06:15 GMT",
"version": "v1"
}
] |
2011-01-20
|
[
[
"Maharana",
"Jnanadeva",
""
]
] |
We study duality and local symmetries of closed bosonic string from the perspectives of worldsheet approach in the phase space path integral formalism. It is shown that the Ward identities reflecting the local symmetries associated with massless excitations such as graviton and antisymmetric tensor can be cast in a duality covariant form. It is shown how the manifestly O(d,d) invariant Hamiltonian can be obtained in the Hassan-Sen toroidal compactification scheme, d being the number of compact dimensions. It is proposed that massive excited states possess a T-duality symmetry for constant (tensor) backgrounds. This conjecture is verified for the first massive level.
| 11.978047
| 11.058203
| 12.50396
| 11.111434
| 11.620488
| 10.957827
| 12.645547
| 11.048703
| 10.716393
| 13.294472
| 11.181286
| 10.853127
| 11.712818
| 11.073453
| 11.248789
| 11.2625
| 11.532825
| 11.334684
| 11.479447
| 11.903253
| 11.325092
|
hep-th/0105292
|
Perivolaropoulos Leandros
|
M. Axenides, E. G. Floratos, L. Perivolaropoulos
|
Quadrupole Instabilities of Relativistic Rotating Membranes
|
5 pages, 1 figure
|
Phys.Rev.D64:107901,2001
|
10.1103/PhysRevD.64.107901
| null |
hep-th
| null |
We generalize recent study of the stability of isotropic (spherical) rotating
membranes to the anisotropic ellipsoidal membrane. We find that while the
stability persists for deformations of spin $l=1$, the quadrupole and higher
spin deformations ($l\geq 2$) lead to instabilities. We find the relevant
instability modes and the corresponding eigenvalues. These indicate that the
ellipsoidal rotating membranes generically decay into finger-like
configurations.
|
[
{
"created": "Tue, 29 May 2001 16:18:37 GMT",
"version": "v1"
}
] |
2010-11-19
|
[
[
"Axenides",
"M.",
""
],
[
"Floratos",
"E. G.",
""
],
[
"Perivolaropoulos",
"L.",
""
]
] |
We generalize recent study of the stability of isotropic (spherical) rotating membranes to the anisotropic ellipsoidal membrane. We find that while the stability persists for deformations of spin $l=1$, the quadrupole and higher spin deformations ($l\geq 2$) lead to instabilities. We find the relevant instability modes and the corresponding eigenvalues. These indicate that the ellipsoidal rotating membranes generically decay into finger-like configurations.
| 13.510788
| 10.736278
| 12.021982
| 10.7002
| 11.125014
| 11.230132
| 11.672811
| 11.286901
| 10.370215
| 12.988983
| 9.890063
| 11.101023
| 11.180015
| 11.423325
| 11.47235
| 11.066495
| 10.787437
| 11.669319
| 11.329732
| 11.200933
| 11.102342
|
1608.07845
|
Stam Nicolis
|
Minos Axenides, Emmanuel Floratos and Stam Nicolis
|
The quantum cat map on the modular discretization of extremal black hole
horizons
|
28 pages LaTeX2e, 8 jpeg figures. Clarified certain issues pertaining
to the relation between mixing time and scrambling time; enhanced discussion
of the Eigenstate Thermalization Hypothesis; revised figures and updated
references. Typos corrected
|
Eur. Phys. J. C (2018) 78:412
|
10.1140/epjc/s10052-018-5850-9
| null |
hep-th math-ph math.MP nlin.CD quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Based on our recent work on the discretization of the radial AdS$_2$ geometry
of extremal BH horizons,we present a toy model for the chaotic unitary
evolution of infalling single particle wave packets.
We construct explicitly the eigenstates and eigenvalues for the single
particle dynamics for an observer falling into the BH horizon, with time
evolution operator the quantum Arnol'd cat map (QACM).
Using these results we investigate the validity of the eigenstate
thermalization hypothesis (ETH), as well as that of the fast scrambling time
bound (STB).
We find that the QACM, while possessing a linear spectrum, has eigenstates,
which are random and satisfy the assumptions of the ETH.
We also find that the thermalization of infalling wave packets in this
particular model is exponentially fast, thereby saturating the STB, under the
constraint that the finite dimension of the single--particle Hilbert space
takes values in the set of Fibonacci integers.
|
[
{
"created": "Sun, 28 Aug 2016 19:49:50 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Sep 2016 22:02:23 GMT",
"version": "v2"
},
{
"created": "Fri, 28 Jul 2017 16:44:01 GMT",
"version": "v3"
},
{
"created": "Sun, 14 Jan 2018 17:13:33 GMT",
"version": "v4"
},
{
"created": "Tue, 29 May 2018 07:58:07 GMT",
"version": "v5"
}
] |
2018-05-30
|
[
[
"Axenides",
"Minos",
""
],
[
"Floratos",
"Emmanuel",
""
],
[
"Nicolis",
"Stam",
""
]
] |
Based on our recent work on the discretization of the radial AdS$_2$ geometry of extremal BH horizons,we present a toy model for the chaotic unitary evolution of infalling single particle wave packets. We construct explicitly the eigenstates and eigenvalues for the single particle dynamics for an observer falling into the BH horizon, with time evolution operator the quantum Arnol'd cat map (QACM). Using these results we investigate the validity of the eigenstate thermalization hypothesis (ETH), as well as that of the fast scrambling time bound (STB). We find that the QACM, while possessing a linear spectrum, has eigenstates, which are random and satisfy the assumptions of the ETH. We also find that the thermalization of infalling wave packets in this particular model is exponentially fast, thereby saturating the STB, under the constraint that the finite dimension of the single--particle Hilbert space takes values in the set of Fibonacci integers.
| 11.397272
| 11.54053
| 11.768682
| 11.090428
| 12.328423
| 11.643531
| 12.305886
| 10.270462
| 11.794781
| 12.483253
| 10.863947
| 11.069757
| 11.008612
| 10.695341
| 11.493793
| 10.691333
| 11.017529
| 10.478024
| 11.181777
| 11.240805
| 10.515233
|
hep-th/0207180
|
Fidel Schaposnik
|
D.H. Correa, E.F. Moreno and F.A. Schaposnik
|
Some Noncommutative Multi-instantons from Vortices in Curved Space
|
10 pages. LaTeX
|
Phys.Lett. B543 (2002) 235-240
|
10.1016/S0370-2693(02)02456-5
| null |
hep-th
| null |
We construct U(2) noncommutative multi-instanton solutions by extending
Witten's ansatz [1] which reduces the problem of cylindrical symmetry in four
dimensions to that of a set of Bogomol'nyi equations for an Abelian Higgsmodel
in two dimensional curved space. Using the Fock space approach, we give
explicit vortex solutions to the Bogomol'nyi equations and, from them, we
present multi-instanton solutions.
|
[
{
"created": "Fri, 19 Jul 2002 11:41:38 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Correa",
"D. H.",
""
],
[
"Moreno",
"E. F.",
""
],
[
"Schaposnik",
"F. A.",
""
]
] |
We construct U(2) noncommutative multi-instanton solutions by extending Witten's ansatz [1] which reduces the problem of cylindrical symmetry in four dimensions to that of a set of Bogomol'nyi equations for an Abelian Higgsmodel in two dimensional curved space. Using the Fock space approach, we give explicit vortex solutions to the Bogomol'nyi equations and, from them, we present multi-instanton solutions.
| 10.069604
| 9.648786
| 10.566463
| 9.151214
| 10.084249
| 9.813293
| 10.37335
| 8.177906
| 8.837482
| 11.331921
| 9.112605
| 9.152045
| 10.276142
| 9.324602
| 9.300294
| 9.126679
| 9.383565
| 9.195575
| 9.271315
| 9.59538
| 8.984892
|
hep-th/0506141
|
Juan Maldacena
|
Juan Maldacena and Nathan Seiberg
|
Flux-vacua in Two Dimensional String Theory
|
41 pages, 4 figures, harvmac.tex
|
JHEP 0509:077,2005
|
10.1088/1126-6708/2005/09/077
| null |
hep-th
| null |
We analyze the two dimensional type 0 theory with background RR-fluxes. Both
the 0A and the 0B theory have two distinct fluxes $q$ and $\tilde q$. We study
these two theories at finite temperature (compactified on a Euclidean circle of
radius $R$) as a function of the fluxes, the tachyon condensate $\mu$ and the
radius $R$. Surprisingly, the dependence on $q$, $\tilde q$ and $\mu$ is rather
simple. The partition function is the absolute value square of a holomorphic
function of $y=|q|+|\tilde q| + i \sqrt{2\alpha'} \mu$ (up to a simple but
interesting correction). As expected, the 0A and the 0B answers are related by
T-duality. Our answers are derived using the exact matrix models description of
these systems and are interpreted in the low energy spacetime Lagrangian.
|
[
{
"created": "Fri, 17 Jun 2005 16:02:07 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Maldacena",
"Juan",
""
],
[
"Seiberg",
"Nathan",
""
]
] |
We analyze the two dimensional type 0 theory with background RR-fluxes. Both the 0A and the 0B theory have two distinct fluxes $q$ and $\tilde q$. We study these two theories at finite temperature (compactified on a Euclidean circle of radius $R$) as a function of the fluxes, the tachyon condensate $\mu$ and the radius $R$. Surprisingly, the dependence on $q$, $\tilde q$ and $\mu$ is rather simple. The partition function is the absolute value square of a holomorphic function of $y=|q|+|\tilde q| + i \sqrt{2\alpha'} \mu$ (up to a simple but interesting correction). As expected, the 0A and the 0B answers are related by T-duality. Our answers are derived using the exact matrix models description of these systems and are interpreted in the low energy spacetime Lagrangian.
| 7.159567
| 6.921579
| 8.374858
| 6.605821
| 7.567667
| 7.309937
| 6.732025
| 7.09935
| 6.539524
| 7.794264
| 6.672685
| 6.733335
| 7.327466
| 6.771708
| 6.871631
| 6.558913
| 6.809814
| 6.8186
| 6.856157
| 7.283388
| 6.817709
|
2306.08031
|
Nathan Benjamin
|
Nathan Benjamin, Jaeha Lee, Hirosi Ooguri, David Simmons-Duffin
|
Universal Asymptotics for High Energy CFT Data
|
73 pages plus appendices, v2: references added, v3: minor typos
corrected, v4: published version, v5: minor typos corrected
|
JHEP 03, 115 (2024)
|
10.1007/JHEP03(2024)115
|
CALT-TH 2023-014, IPMU 23-0020
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Equilibrium finite temperature observables of a CFT can be described by a
local effective action for background fields -- a "thermal effective action."
This effective action determines the asymptotic density of states of a CFT as a
detailed function of dimension and spin. We discuss subleading perturbative and
nonperturbative corrections to the density, comparing with free and holographic
examples. We furthermore show how to use the thermal effective action on more
complicated geometries at special locations called "hot spots." The hot spot
idea makes a prediction for a CFT partition function on a higher-dimensional
version of a genus-2 Riemann surface, in a particular high temperature limit.
By decomposing the partition function into a novel higher-dimensional version
of genus-2 conformal blocks (which we compute at large scaling dimension), we
extract the asymptotic density of heavy-heavy-heavy OPE coefficients in a
higher-dimensional CFT. We also compute asymptotics of thermal 1-point
functions using the same techniques.
|
[
{
"created": "Tue, 13 Jun 2023 18:00:02 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Jun 2023 14:34:16 GMT",
"version": "v2"
},
{
"created": "Tue, 9 Jan 2024 05:42:32 GMT",
"version": "v3"
},
{
"created": "Fri, 22 Mar 2024 21:55:56 GMT",
"version": "v4"
},
{
"created": "Wed, 15 May 2024 07:41:01 GMT",
"version": "v5"
}
] |
2024-05-16
|
[
[
"Benjamin",
"Nathan",
""
],
[
"Lee",
"Jaeha",
""
],
[
"Ooguri",
"Hirosi",
""
],
[
"Simmons-Duffin",
"David",
""
]
] |
Equilibrium finite temperature observables of a CFT can be described by a local effective action for background fields -- a "thermal effective action." This effective action determines the asymptotic density of states of a CFT as a detailed function of dimension and spin. We discuss subleading perturbative and nonperturbative corrections to the density, comparing with free and holographic examples. We furthermore show how to use the thermal effective action on more complicated geometries at special locations called "hot spots." The hot spot idea makes a prediction for a CFT partition function on a higher-dimensional version of a genus-2 Riemann surface, in a particular high temperature limit. By decomposing the partition function into a novel higher-dimensional version of genus-2 conformal blocks (which we compute at large scaling dimension), we extract the asymptotic density of heavy-heavy-heavy OPE coefficients in a higher-dimensional CFT. We also compute asymptotics of thermal 1-point functions using the same techniques.
| 12.789952
| 11.891022
| 14.540815
| 11.33561
| 13.008873
| 12.853998
| 12.388511
| 12.224371
| 11.688396
| 14.963224
| 11.643041
| 12.226872
| 13.23243
| 12.154538
| 12.43454
| 11.968293
| 12.155185
| 12.512181
| 12.223037
| 13.500906
| 12.058481
|
2408.03197
|
Nihat Sadik Deger
|
Nihat Sadik Deger, Ceren Ayse Deral, Aritra Saha, \"Ozg\"ur
Sar{\i}o\u{g}lu
|
Rotating AdS$_3 \times$S$^3$ and Dyonic Strings from 3-Dimensions
|
We dedicate this paper to the memory of Prof. Rahmi G\"uven
(1948-2019)
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We make a general Killing spinor analysis of a particular $D=3, \, N=4$
gauged supergravity that comes from a consistent S$^3$ reduction of $D=6, \,
N=(1,0)$ supergravity coupled to a single chiral tensor multiplet. We then
focus on its supersymmetric solutions with a null Killing vector and find three
new ones. Two of these, namely the null warped AdS$_3$ (also known as the
Schr\"odinger spacetime) and the charged domain wall solutions, admit
non-trivial gauge fields which give rise to rotating solutions in 6-dimensions.
The uplift of the first one produces an interesting AdS$_3 \times$S$^3$
background with a non-trivial rotation in the $U(1)$ fiber direction of the
S$^3$ which retains the Schr\"odinger scale invariance that the seed solution
has. The second one leads to the well-known rotating dyonic string solution.
Finally, the uplift of the third one, which is a domain wall solution with no
gauge fields, results in a distribution of dyonic strings.
|
[
{
"created": "Tue, 6 Aug 2024 13:56:28 GMT",
"version": "v1"
}
] |
2024-08-07
|
[
[
"Deger",
"Nihat Sadik",
""
],
[
"Deral",
"Ceren Ayse",
""
],
[
"Saha",
"Aritra",
""
],
[
"Sarıoğlu",
"Özgür",
""
]
] |
We make a general Killing spinor analysis of a particular $D=3, \, N=4$ gauged supergravity that comes from a consistent S$^3$ reduction of $D=6, \, N=(1,0)$ supergravity coupled to a single chiral tensor multiplet. We then focus on its supersymmetric solutions with a null Killing vector and find three new ones. Two of these, namely the null warped AdS$_3$ (also known as the Schr\"odinger spacetime) and the charged domain wall solutions, admit non-trivial gauge fields which give rise to rotating solutions in 6-dimensions. The uplift of the first one produces an interesting AdS$_3 \times$S$^3$ background with a non-trivial rotation in the $U(1)$ fiber direction of the S$^3$ which retains the Schr\"odinger scale invariance that the seed solution has. The second one leads to the well-known rotating dyonic string solution. Finally, the uplift of the third one, which is a domain wall solution with no gauge fields, results in a distribution of dyonic strings.
| 6.644512
| 6.095038
| 7.164266
| 6.048567
| 6.690416
| 5.857391
| 5.934434
| 6.172412
| 5.882204
| 7.417181
| 6.038722
| 6.209771
| 6.611636
| 6.258617
| 6.138345
| 6.058223
| 6.195056
| 6.398397
| 6.208281
| 6.62327
| 6.218226
|
1501.04294
|
Luciano Gabbanelli
|
Osvaldo P. Santill\'an and Luciano Gabbanelli
|
Double Higgs mechanisms, supermassive stable particles and the vacuum
energy
|
The decaying particle was changed from an scalar to a pseudoscalar
since it improves stability issues, and some features that inhibits the
coupling between CP odd scalars have been added
|
Mod. Phys. Lett. A, Vol. 31, No. 25 (2016) 1650143
|
10.1142/S0217732316501431
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the present work it is shown that some specific double Higgs like
mechanisms may have interesting cosmological applications. A hidden scenario
which cast long lived super heavy particles together with an extremely light
particle $a$ with mass $m_a\sim 10^{-32}-10^{-33}$eV is presented. The
potential energy of this particle models the vacuum energy density of the
universe $\rho_c\simeq 10^{-47}\;\hbox{GeV}^4$. The construction of such
scenario is non trivial since the presence of light particles may spoil the
stability of the heavy particles. However, double Higgs mechanisms may be
helpful for overcoming this problem. The hidden sector we propose include
fermions with masses near the neutrino mass $m_\nu\sim 10^{-2}$eV which arise
in terms of a see saw mechanism. Besides, the super heavy particles acquire a
mass due to a double Higgs like mechanism of the order of the GUT scale. The
gauge group of the model is $\hbox{SU(2)}_L$ and the scalars of the double
Higgs mechanism are not charged under these interactions. The light particle
$a$ is the Goldstone boson associated to a Peccei-Quinn like symmetry in the
double Higgs model. In addition, the double Higgs mechanism posses another CP
odd scalar $A^0$, which acquire a mass of the order of the GUT scale. We show
that if there is no direct coupling between $A^0$ and $a$, even in presence of
indirect couplings, the $A^0$ particle is long lived an may appear in events
above the GKZ bound in present times.
|
[
{
"created": "Sun, 18 Jan 2015 13:04:55 GMT",
"version": "v1"
},
{
"created": "Sat, 18 Apr 2015 17:09:49 GMT",
"version": "v2"
},
{
"created": "Sun, 14 Jun 2015 02:51:58 GMT",
"version": "v3"
},
{
"created": "Wed, 5 Aug 2015 15:58:02 GMT",
"version": "v4"
}
] |
2016-07-29
|
[
[
"Santillán",
"Osvaldo P.",
""
],
[
"Gabbanelli",
"Luciano",
""
]
] |
In the present work it is shown that some specific double Higgs like mechanisms may have interesting cosmological applications. A hidden scenario which cast long lived super heavy particles together with an extremely light particle $a$ with mass $m_a\sim 10^{-32}-10^{-33}$eV is presented. The potential energy of this particle models the vacuum energy density of the universe $\rho_c\simeq 10^{-47}\;\hbox{GeV}^4$. The construction of such scenario is non trivial since the presence of light particles may spoil the stability of the heavy particles. However, double Higgs mechanisms may be helpful for overcoming this problem. The hidden sector we propose include fermions with masses near the neutrino mass $m_\nu\sim 10^{-2}$eV which arise in terms of a see saw mechanism. Besides, the super heavy particles acquire a mass due to a double Higgs like mechanism of the order of the GUT scale. The gauge group of the model is $\hbox{SU(2)}_L$ and the scalars of the double Higgs mechanism are not charged under these interactions. The light particle $a$ is the Goldstone boson associated to a Peccei-Quinn like symmetry in the double Higgs model. In addition, the double Higgs mechanism posses another CP odd scalar $A^0$, which acquire a mass of the order of the GUT scale. We show that if there is no direct coupling between $A^0$ and $a$, even in presence of indirect couplings, the $A^0$ particle is long lived an may appear in events above the GKZ bound in present times.
| 7.948576
| 8.767287
| 8.233807
| 7.776375
| 8.235568
| 8.744464
| 8.153069
| 8.546836
| 7.868243
| 8.40486
| 7.911757
| 8.031322
| 7.805579
| 7.797113
| 7.784498
| 7.873917
| 8.013483
| 7.918335
| 7.864402
| 7.870228
| 7.908176
|
1405.7248
|
Jan Plefka
|
Jan Plefka, Theodor Schuster, Valentin Verschinin
|
From Six to Four and More: Massless and Massive Maximal Super Yang-Mills
Amplitudes in 6d and 4d and their Hidden Symmetries
|
77 pages, 1 figure. v2: Reference added
| null |
10.1007/JHEP01(2015)098
|
HU-EP-14/17
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A self-consistent exposition of the theory of tree-level superamplitudes of
the 4d N=4 and 6d N=(1,1) maximally supersymmetric Yang-Mills theories is
provided. In 4d we work in non-chiral superspace and construct the
superconformal and dual superconformal symmetry generators of the N=4 SYM
theory using the non-chiral BCFW recursion to prove the latter. In 6d we
provide a complete derivation of the standard and hidden symmetries of the
tree-level superamplitudes of N=(1,1) SYM theory, again using the BCFW
recursion to prove the dual conformal symmetry. Furthermore, we demonstrate
that compact analytical formulae for tree-superamplitudes in N=(1,1) SYM can be
obtained from a numerical implementation of the supersymmetric BCFW recursion
relation. We derive compact manifestly dual conformal representations of the
five- and six-point superamplitudes as well as arbitrary multiplicity formulae
valid for certain classes of superamplitudes related to
ultra-helicity-violating massive amplitudes in 4d. We study massive tree
superamplitudes on the Coulomb branch of the N=4 SYM theory from dimensional
reduction of the massless superamplitudes of the six-dimensional N=(1,1) SYM
theory. We exploit this correspondence to construct the super-Poincare and
enhanced dual conformal symmetries of massive tree superamplitudes in N=4 SYM
theory which are shown to close into a finite dimensional algebra of Yangian
type. Finally, we address the fascinating possibility of uplifting massless 4d
superamplitudes to 6d massless superamplitudes proposed by Huang. We confirm
the uplift for multiplicities up to eight but show that finding the uplift is
highly non-trivial and in fact not of a practical use for multiplicities larger
than five.
|
[
{
"created": "Wed, 28 May 2014 14:13:54 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Jul 2014 05:39:50 GMT",
"version": "v2"
}
] |
2015-06-19
|
[
[
"Plefka",
"Jan",
""
],
[
"Schuster",
"Theodor",
""
],
[
"Verschinin",
"Valentin",
""
]
] |
A self-consistent exposition of the theory of tree-level superamplitudes of the 4d N=4 and 6d N=(1,1) maximally supersymmetric Yang-Mills theories is provided. In 4d we work in non-chiral superspace and construct the superconformal and dual superconformal symmetry generators of the N=4 SYM theory using the non-chiral BCFW recursion to prove the latter. In 6d we provide a complete derivation of the standard and hidden symmetries of the tree-level superamplitudes of N=(1,1) SYM theory, again using the BCFW recursion to prove the dual conformal symmetry. Furthermore, we demonstrate that compact analytical formulae for tree-superamplitudes in N=(1,1) SYM can be obtained from a numerical implementation of the supersymmetric BCFW recursion relation. We derive compact manifestly dual conformal representations of the five- and six-point superamplitudes as well as arbitrary multiplicity formulae valid for certain classes of superamplitudes related to ultra-helicity-violating massive amplitudes in 4d. We study massive tree superamplitudes on the Coulomb branch of the N=4 SYM theory from dimensional reduction of the massless superamplitudes of the six-dimensional N=(1,1) SYM theory. We exploit this correspondence to construct the super-Poincare and enhanced dual conformal symmetries of massive tree superamplitudes in N=4 SYM theory which are shown to close into a finite dimensional algebra of Yangian type. Finally, we address the fascinating possibility of uplifting massless 4d superamplitudes to 6d massless superamplitudes proposed by Huang. We confirm the uplift for multiplicities up to eight but show that finding the uplift is highly non-trivial and in fact not of a practical use for multiplicities larger than five.
| 6.136329
| 6.092702
| 6.504188
| 6.079982
| 5.912541
| 6.35407
| 6.147221
| 5.798309
| 6.005023
| 7.280419
| 5.85948
| 6.133664
| 6.234325
| 6.057755
| 6.205029
| 6.063097
| 5.99288
| 6.10109
| 6.134083
| 6.088837
| 6.00108
|
2202.11746
|
John Donahue
|
John C. Donahue, Sergei Dubovsky
|
Quantization of the Zigzag Model
|
24 pages, 4 figures
| null |
10.1007/JHEP08(2022)047
| null |
hep-th nlin.SI
|
http://creativecommons.org/licenses/by/4.0/
|
The zigzag model is a relativistic integrable $N$-body system describing the
leading high-energy semiclassical dynamics on the worldsheet of long confining
strings in massive adjoint two-dimensional QCD. We discuss quantization of this
model. We demonstrate that to achieve a consistent quantization of the model it
is necessary to account for the non-trivial geometry of phase space. The
resulting Poincar\'e invariant integrable quantum theory is a close cousin of
$T\bar{T}$ deformed models.
|
[
{
"created": "Wed, 23 Feb 2022 19:16:00 GMT",
"version": "v1"
}
] |
2022-08-24
|
[
[
"Donahue",
"John C.",
""
],
[
"Dubovsky",
"Sergei",
""
]
] |
The zigzag model is a relativistic integrable $N$-body system describing the leading high-energy semiclassical dynamics on the worldsheet of long confining strings in massive adjoint two-dimensional QCD. We discuss quantization of this model. We demonstrate that to achieve a consistent quantization of the model it is necessary to account for the non-trivial geometry of phase space. The resulting Poincar\'e invariant integrable quantum theory is a close cousin of $T\bar{T}$ deformed models.
| 11.436049
| 9.830673
| 11.671928
| 10.112878
| 11.030826
| 9.377215
| 10.165777
| 9.849057
| 9.945792
| 12.038962
| 9.780319
| 9.868455
| 9.989313
| 9.519032
| 9.170302
| 9.637272
| 9.567629
| 9.673943
| 9.536706
| 10.659451
| 9.828653
|
hep-th/9806155
|
Matthias R. Gaberdiel
|
O. Bergman, M.R. Gaberdiel
|
Stable non-BPS D-particles
|
10 pages, LaTeX
|
Phys.Lett. B441 (1998) 133-140
|
10.1016/S0370-2693(98)01123-X
|
HUTP-98-A050, DAMTP-1998-71
|
hep-th
| null |
It is shown that the orbifold of type IIB string theory by (-1)^{F_L} I_4
admits a stable non-BPS Dirichlet particle that is stuck on the orbifold fixed
plane. It is charged under the SO(2) gauge group coming from the twisted
sector, and transforms as a long multiplet of the D=6 supersymmetry algebra.
This suggests that it is the strong coupling dual of the perturbative stable
non-BPS state that appears in the orientifold of type IIB by \Omega I_4.
|
[
{
"created": "Thu, 18 Jun 1998 16:50:58 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Bergman",
"O.",
""
],
[
"Gaberdiel",
"M. R.",
""
]
] |
It is shown that the orbifold of type IIB string theory by (-1)^{F_L} I_4 admits a stable non-BPS Dirichlet particle that is stuck on the orbifold fixed plane. It is charged under the SO(2) gauge group coming from the twisted sector, and transforms as a long multiplet of the D=6 supersymmetry algebra. This suggests that it is the strong coupling dual of the perturbative stable non-BPS state that appears in the orientifold of type IIB by \Omega I_4.
| 7.33454
| 6.297279
| 7.811554
| 6.20657
| 6.660043
| 6.412623
| 6.256293
| 5.971795
| 6.218702
| 8.96057
| 6.264694
| 6.445708
| 7.436602
| 6.604297
| 6.562489
| 6.613189
| 6.75672
| 6.860888
| 6.543932
| 7.178531
| 6.348499
|
hep-th/0107223
|
Eugeni Akhmedov
|
E. Kh. Akhmedov
|
Dynamical localization of gauge fields on a brane
|
LaTeX, 12 pages, no figures. A reference added
|
Phys.Lett.B521:79-86,2001
|
10.1016/S0370-2693(01)01176-5
|
TUM-HEP-423/01
|
hep-th astro-ph hep-ph
| null |
We propose a dynamical mechanism of localization of gauge fields on a brane
in which gauge bosons are excitations of the brane itself or composites made
out of matter fields localized on the brane. The mechanism is operative for
both Abelian and non-Abelian gauge fields. Several scalar and scalar-fermion
composite models of gauge fields are considered. The models exhibit exact gauge
invariance and therefore charge universality of gauge interactions is
automatically preserved. The mechanism is shown to be equivalent to a
modification of the Dvali, Gabadadze and Shifman scenario in which gauge bosons
have no bulk kinetic terms and only possess induced kinetic terms on the brane.
|
[
{
"created": "Wed, 25 Jul 2001 18:36:39 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Aug 2001 13:07:27 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Akhmedov",
"E. Kh.",
""
]
] |
We propose a dynamical mechanism of localization of gauge fields on a brane in which gauge bosons are excitations of the brane itself or composites made out of matter fields localized on the brane. The mechanism is operative for both Abelian and non-Abelian gauge fields. Several scalar and scalar-fermion composite models of gauge fields are considered. The models exhibit exact gauge invariance and therefore charge universality of gauge interactions is automatically preserved. The mechanism is shown to be equivalent to a modification of the Dvali, Gabadadze and Shifman scenario in which gauge bosons have no bulk kinetic terms and only possess induced kinetic terms on the brane.
| 8.220192
| 8.448187
| 7.900255
| 7.490651
| 8.337179
| 7.905794
| 7.879587
| 7.854367
| 7.773176
| 8.550323
| 7.675204
| 7.598028
| 7.653608
| 7.648891
| 7.431973
| 7.858221
| 7.578551
| 7.484419
| 7.566285
| 7.80438
| 7.425778
|
1210.2818
|
Oleg Alekseev
|
Oleg Alekseev
|
Form factors of descendant operators in the Bullough-Dodd model
|
15 pages; v2: misprints corrected, references added, acknowledgments
added
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a free field representation for the form factors of descendant
operators in the Bullough-Dodd model. This construction is a particular
modification of Lukyanov's technique for solving the form factors axioms. We
prove that the number of proposed solutions in each level subspace of the
chiral sectors coincide with the number of the corresponding descendant
operators in the Lagrangian formalism. We check that these form factors possess
the cluster factorization property. Besides, we propose an alternative free
field representation which allows us to study analytic properties of the form
factors effectively. In particular, we prove that the form factors satisfy non
trivial identities known as the "reflection relations". We show the existence
of the reflection invariant basis in the level subspaces for a generic values
of the parameters.
|
[
{
"created": "Wed, 10 Oct 2012 07:06:32 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Jan 2013 03:44:44 GMT",
"version": "v2"
}
] |
2013-01-22
|
[
[
"Alekseev",
"Oleg",
""
]
] |
We propose a free field representation for the form factors of descendant operators in the Bullough-Dodd model. This construction is a particular modification of Lukyanov's technique for solving the form factors axioms. We prove that the number of proposed solutions in each level subspace of the chiral sectors coincide with the number of the corresponding descendant operators in the Lagrangian formalism. We check that these form factors possess the cluster factorization property. Besides, we propose an alternative free field representation which allows us to study analytic properties of the form factors effectively. In particular, we prove that the form factors satisfy non trivial identities known as the "reflection relations". We show the existence of the reflection invariant basis in the level subspaces for a generic values of the parameters.
| 11.823789
| 10.137603
| 16.242023
| 10.756442
| 11.132107
| 10.566054
| 10.245969
| 10.867195
| 11.08099
| 15.455267
| 10.972383
| 10.743406
| 12.628859
| 11.103685
| 11.11068
| 11.092213
| 10.566863
| 11.401184
| 11.342584
| 12.695588
| 11.051019
|
0911.0270
|
Yu-Xiao Liu
|
Shao-Wen Wei, Yu-Xiao Liu, Chun-E Fu, Hai-Tao Li
|
Geometric curvatures of plane symmetry black hole
|
16 pages, 6 figures
|
Adv.High Energy Phys. 2013 (2013) 734138
|
10.1155/2013/734138
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we study the properties and thermodynamic stability of the
plane symmetry black hole from the viewpoint of geometry. Weinhold metric and
Ruppeiner metric are obtained, respectively. The Weinhold curvature gives phase
transition points, which correspond to the first-order phase transition only at
N=1, where $N$ is a parameter in the plane symmetry black hole. While the
Ruppeiner one shows first-order phase transition points for arbitrary $N\neq
1$. Both of which give no any information about the second-order phase
transition. Considering the Legendre invariant proposed by Quevedo et. al., we
obtain a unified geometry metric, which gives a correctly the behavior of the
thermodynamic interactions and phase transitions. The geometry is also found to
be curved and the scalar curvature goes to negative infinity at the Davies'
phase transition points when the logarithmic correction is included.
|
[
{
"created": "Mon, 2 Nov 2009 09:57:52 GMT",
"version": "v1"
}
] |
2015-03-12
|
[
[
"Wei",
"Shao-Wen",
""
],
[
"Liu",
"Yu-Xiao",
""
],
[
"Fu",
"Chun-E",
""
],
[
"Li",
"Hai-Tao",
""
]
] |
In this paper, we study the properties and thermodynamic stability of the plane symmetry black hole from the viewpoint of geometry. Weinhold metric and Ruppeiner metric are obtained, respectively. The Weinhold curvature gives phase transition points, which correspond to the first-order phase transition only at N=1, where $N$ is a parameter in the plane symmetry black hole. While the Ruppeiner one shows first-order phase transition points for arbitrary $N\neq 1$. Both of which give no any information about the second-order phase transition. Considering the Legendre invariant proposed by Quevedo et. al., we obtain a unified geometry metric, which gives a correctly the behavior of the thermodynamic interactions and phase transitions. The geometry is also found to be curved and the scalar curvature goes to negative infinity at the Davies' phase transition points when the logarithmic correction is included.
| 10.76795
| 10.634517
| 9.27026
| 9.117867
| 10.504506
| 10.576424
| 10.199493
| 9.423603
| 10.025044
| 10.333887
| 9.650212
| 9.832294
| 9.459489
| 9.2444
| 9.375981
| 9.38993
| 9.669333
| 9.149169
| 10.054209
| 9.452076
| 9.608197
|
1612.06660
|
Kazunori Takenaga
|
Makoto Sakamoto and Kazunori Takenaga
|
Polyakov Loop in Non-covariant Operator Formalism
|
31 pages, version to appear in Prog.Theor.Exp.Phys, report number
corrected
|
Prog Theor Exp Phys (2017)
|
10.1093/ptep/ptx026
|
KOBE-TH-16-09
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss a Polyakov loop in non-covariant operator formalism which consists
of only physical degrees of freedom at finite temperature. It is pointed out
that although the Polyakov loop is expressed by a Euclidean time component of
gauge fields in a covariant path integral formalism, there is no direct
counterpart of the Polyakov loop operator in the operator formalism because the
Euclidean time component of gauge fields is not a physical degree of freedom.
We show that by starting with an operator which is constructed in terms of only
physical operators in the non-covariant operator formalism, the vacuum
expectation value of the operator calculated by trace formula can be rewritten
into a familiar form of an expectation value of Polyakov loop in a covariant
path integral formalism at finite temperature for the cases of axial and
Coulomb gauge.
|
[
{
"created": "Tue, 20 Dec 2016 13:42:44 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Feb 2017 06:23:42 GMT",
"version": "v2"
},
{
"created": "Sun, 26 Feb 2017 01:58:58 GMT",
"version": "v3"
}
] |
2019-12-06
|
[
[
"Sakamoto",
"Makoto",
""
],
[
"Takenaga",
"Kazunori",
""
]
] |
We discuss a Polyakov loop in non-covariant operator formalism which consists of only physical degrees of freedom at finite temperature. It is pointed out that although the Polyakov loop is expressed by a Euclidean time component of gauge fields in a covariant path integral formalism, there is no direct counterpart of the Polyakov loop operator in the operator formalism because the Euclidean time component of gauge fields is not a physical degree of freedom. We show that by starting with an operator which is constructed in terms of only physical operators in the non-covariant operator formalism, the vacuum expectation value of the operator calculated by trace formula can be rewritten into a familiar form of an expectation value of Polyakov loop in a covariant path integral formalism at finite temperature for the cases of axial and Coulomb gauge.
| 6.671604
| 6.680415
| 6.683965
| 6.525604
| 6.988153
| 6.703496
| 7.098309
| 6.858067
| 6.602394
| 7.38086
| 6.587206
| 6.69239
| 6.547529
| 6.409581
| 6.560987
| 6.562046
| 6.447909
| 6.737584
| 6.43706
| 6.510439
| 6.674647
|
1809.09572
|
Vasco Gon\c{c}alves
|
Vasco Goncalves
|
Skeleton expansion and large spin bootstrap for $\phi^3$ theory
| null | null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study skeleton expansion of $\phi^3$ theory in $6+\epsilon$ dimensions as
well as its global symmetry generalizations. We use it to compute the four
point function of the scalar field $\phi$ up to $\epsilon^2$. We also do a
large spin bootstrap approach to the same model up to order $\epsilon^2$ and
check that both results agree.
|
[
{
"created": "Tue, 25 Sep 2018 16:16:08 GMT",
"version": "v1"
}
] |
2018-09-26
|
[
[
"Goncalves",
"Vasco",
""
]
] |
We study skeleton expansion of $\phi^3$ theory in $6+\epsilon$ dimensions as well as its global symmetry generalizations. We use it to compute the four point function of the scalar field $\phi$ up to $\epsilon^2$. We also do a large spin bootstrap approach to the same model up to order $\epsilon^2$ and check that both results agree.
| 11.382064
| 9.285147
| 9.564265
| 8.904229
| 9.646355
| 9.837626
| 8.77559
| 8.85357
| 9.482475
| 10.486684
| 9.122935
| 9.455777
| 10.041898
| 9.485465
| 9.331547
| 10.192865
| 9.495124
| 9.483765
| 9.547337
| 10.780994
| 9.581182
|
hep-th/9709001
|
Andrei Marshakov
|
A.Marshakov
|
Seiberg-Witten Theory, Integrable Systems and D-branes
|
LaTeX, 11pp, 3 figs in tex-format requiring emlines2.sty; Based on
the talks given at NATO Advanced Research Workshop on Theoretical Physics
"New Developments in Quantum Field Theory", Zakopane, 14-20 June 1997 and IV
International Conference "Conformal Field Theories and Integrable Models",
Chernogolovka, 23-27 June 1997
| null | null |
FIAN/TD-12/97, ITEP/TH-39/97
|
hep-th
| null |
In this note it is demonstrated how the Seiberg-Witten solutions and related
integrable systems may arise from certain brane configurations in M-theory.
Some subtleties of the formulation of the Seiberg-Witten theory via integrable
systems are discussed and interpreted along the lines of general picture of
string/M-theory dualities.
|
[
{
"created": "Sat, 30 Aug 1997 08:32:04 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Sep 1997 16:17:11 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Marshakov",
"A.",
""
]
] |
In this note it is demonstrated how the Seiberg-Witten solutions and related integrable systems may arise from certain brane configurations in M-theory. Some subtleties of the formulation of the Seiberg-Witten theory via integrable systems are discussed and interpreted along the lines of general picture of string/M-theory dualities.
| 9.899399
| 8.384921
| 9.451934
| 8.060248
| 8.893468
| 9.124238
| 8.320935
| 8.10688
| 8.0941
| 9.931453
| 8.489689
| 8.40074
| 9.79722
| 8.558477
| 8.610938
| 8.73096
| 8.758057
| 8.924447
| 8.880171
| 9.226089
| 8.35833
|
1111.4997
|
Joseph Ben Geloun
|
Joseph Ben Geloun and Vincent Rivasseau
|
A Renormalizable 4-Dimensional Tensor Field Theory
|
44 pages, 11 figures, typos corrected, figures added, improved
version
| null | null |
pi-qg-245; Lpt-Orsay-11-99; ICMPA-MPA/010/2011
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We prove that an integrated version of the Gurau colored tensor model
supplemented with the usual Bosonic propagator on $U(1)^4$ is renormalizable to
all orders in perturbation theory. The model is of the type expected for
quantization of space-time in 4D Euclidean gravity and is the first example of
a renormalizable model of this kind. Its vertex and propagator are
four-stranded like in 4D group field theories, but without gauge averaging on
the strands. Surprisingly perhaps, the model is of the $\phi^6$ rather than of
the $\phi^4$ type, since two different $\phi^6$-type interactions are
log-divergent, i.e. marginal in the renormalization group sense. The
renormalization proof relies on a multiscale analysis. It identifies all
divergent graphs through a power counting theorem. These divergent graphs have
internal and external structure of a particular kind called melonic. Melonic
graphs dominate the 1/N expansion of colored tensor models and generalize the
planar ribbon graphs of matrix models. A new locality principle is established
for this category of graphs which allows to renormalize their divergences
through counterterms of the form of the bare Lagrangian interactions. The model
also has an unexpected anomalous log-divergent $(\int \phi^2)^2$ term, which
can be interpreted as the generation of a scalar matter field out of pure
gravity.
|
[
{
"created": "Mon, 21 Nov 2011 20:29:26 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Nov 2011 14:00:25 GMT",
"version": "v2"
},
{
"created": "Fri, 13 Jan 2012 16:32:12 GMT",
"version": "v3"
}
] |
2012-01-16
|
[
[
"Geloun",
"Joseph Ben",
""
],
[
"Rivasseau",
"Vincent",
""
]
] |
We prove that an integrated version of the Gurau colored tensor model supplemented with the usual Bosonic propagator on $U(1)^4$ is renormalizable to all orders in perturbation theory. The model is of the type expected for quantization of space-time in 4D Euclidean gravity and is the first example of a renormalizable model of this kind. Its vertex and propagator are four-stranded like in 4D group field theories, but without gauge averaging on the strands. Surprisingly perhaps, the model is of the $\phi^6$ rather than of the $\phi^4$ type, since two different $\phi^6$-type interactions are log-divergent, i.e. marginal in the renormalization group sense. The renormalization proof relies on a multiscale analysis. It identifies all divergent graphs through a power counting theorem. These divergent graphs have internal and external structure of a particular kind called melonic. Melonic graphs dominate the 1/N expansion of colored tensor models and generalize the planar ribbon graphs of matrix models. A new locality principle is established for this category of graphs which allows to renormalize their divergences through counterterms of the form of the bare Lagrangian interactions. The model also has an unexpected anomalous log-divergent $(\int \phi^2)^2$ term, which can be interpreted as the generation of a scalar matter field out of pure gravity.
| 8.569679
| 10.165956
| 11.273812
| 9.701735
| 10.869338
| 11.232779
| 10.542377
| 9.942571
| 9.607434
| 10.851469
| 9.367174
| 9.334991
| 8.999821
| 9.04034
| 8.993718
| 9.205656
| 9.225673
| 9.036498
| 9.410233
| 9.060885
| 8.744573
|
hep-th/0203173
|
Michael R. Douglas
|
Michael R. Douglas (Rutgers/IHES/INI), Suresh Govindarajan (IIT
Chennai), T. Jayaraman (IMSc) and Alessandro Tomasiello (CPhT, Ecole
Polytechnique)
|
D-branes on Calabi-Yau Manifolds and Superpotentials
|
harvmac, 45 pp
|
Commun.Math.Phys. 248 (2004) 85-118
|
10.1007/s00220-004-1091-x
|
RUNHETC-2002-09,IMSc/2002/03/01,CPHT-RR035.0302
|
hep-th
| null |
We show how to compute terms in an expansion of the world-volume
superpotential for fairly general D-branes on the quintic Calabi-Yau using
linear sigma model techniques, and show in examples that this superpotential
captures the geometry and obstruction theory of bundles and sheaves on this
Calabi-Yau.
|
[
{
"created": "Tue, 19 Mar 2002 18:06:38 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Apr 2002 15:14:09 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Douglas",
"Michael R.",
"",
"Rutgers/IHES/INI"
],
[
"Govindarajan",
"Suresh",
"",
"IIT\n Chennai"
],
[
"Jayaraman",
"T.",
"",
"IMSc"
],
[
"Tomasiello",
"Alessandro",
"",
"CPhT, Ecole\n Polytechnique"
]
] |
We show how to compute terms in an expansion of the world-volume superpotential for fairly general D-branes on the quintic Calabi-Yau using linear sigma model techniques, and show in examples that this superpotential captures the geometry and obstruction theory of bundles and sheaves on this Calabi-Yau.
| 15.807676
| 14.51301
| 20.828125
| 12.757043
| 14.725271
| 14.997452
| 13.829015
| 13.443657
| 13.719221
| 21.191669
| 12.940438
| 12.759674
| 16.08913
| 13.827841
| 13.561973
| 13.84302
| 13.4182
| 13.816665
| 13.792089
| 14.990123
| 13.367716
|
1004.4220
|
Tatsu Takeuchi
|
Lay Nam Chang, Djordje Minic, Tatsu Takeuchi
|
Quantum Gravity, Dynamical Energy-Momentum Space and Vacuum Energy
|
4 pages, 3 eps figures.
|
Mod.Phys.Lett.A25:2947-2954,2010
|
10.1142/S0217732310034286
|
VT-IPNAS-10-05
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We argue that the combination of the principles of quantum theory and general
relativity allow for a dynamical energy-momentum space. We discuss the freezing
of vacuum energy in such a dynamical energy-momentum space and present a
phenomenologically viable seesaw formula for the cosmological constant in this
context.
|
[
{
"created": "Fri, 23 Apr 2010 20:27:55 GMT",
"version": "v1"
}
] |
2010-12-09
|
[
[
"Chang",
"Lay Nam",
""
],
[
"Minic",
"Djordje",
""
],
[
"Takeuchi",
"Tatsu",
""
]
] |
We argue that the combination of the principles of quantum theory and general relativity allow for a dynamical energy-momentum space. We discuss the freezing of vacuum energy in such a dynamical energy-momentum space and present a phenomenologically viable seesaw formula for the cosmological constant in this context.
| 13.482807
| 12.636174
| 11.908858
| 10.868213
| 11.033766
| 12.152921
| 12.105859
| 10.978595
| 11.46894
| 13.764949
| 10.930714
| 12.58012
| 12.300147
| 11.884086
| 12.791165
| 11.9899
| 12.650058
| 12.014772
| 12.567014
| 13.086899
| 11.928324
|
1907.09168
|
Mohammad R. Garousi
|
Mohammad R. Garousi
|
Surface terms in the effective actions via duality constraints
|
9 pages, Latex file, no figure
| null |
10.1016/j.physletb.2020.135733
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The effective action of string theory on a spacetime manifold with boundary
has both bulk and boundary terms. We propose that both bulk and boundary
actions, may be found by imposing the effective action to be invariant under
the gauge transformations and under the string dualities. Using this proposal
at the leading order of $\alpha'$, the standard Gibbons-Hawking-York boundary
term is reproduced.
|
[
{
"created": "Mon, 22 Jul 2019 07:42:46 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Jul 2019 12:43:19 GMT",
"version": "v2"
},
{
"created": "Wed, 15 Jul 2020 12:00:46 GMT",
"version": "v3"
}
] |
2020-09-02
|
[
[
"Garousi",
"Mohammad R.",
""
]
] |
The effective action of string theory on a spacetime manifold with boundary has both bulk and boundary terms. We propose that both bulk and boundary actions, may be found by imposing the effective action to be invariant under the gauge transformations and under the string dualities. Using this proposal at the leading order of $\alpha'$, the standard Gibbons-Hawking-York boundary term is reproduced.
| 10.384764
| 9.024917
| 10.160131
| 8.890966
| 8.858001
| 9.521677
| 7.918018
| 8.43418
| 8.608141
| 10.957738
| 8.964849
| 9.463813
| 9.826087
| 9.206192
| 9.387052
| 9.082807
| 9.240389
| 9.030997
| 9.423778
| 9.796647
| 9.196616
|
hep-th/9503028
|
Hidetoshi Awata
|
H. Awata, Y. Matsuo, S. Odake and J. Shiraishi
|
A Note on Calogero-Sutherland Model, W_n Singular Vectors and
Generalized Matrix Models
|
9 pages, a paragraph added Based on the talk in the work shop at YITP
on Dec. 6-9, 1994, plain TeX file
|
Soryushiron Kenkyu.91:A69-A75,1995
| null | null |
hep-th
| null |
We review some recent results on the Calogero-Sutherland model with emphasis
upon its algebraic aspects. We give integral formulae for excited states (Jack
polynomials) of this model and their relations with W_n singular vectors and
generalized matrix models.
|
[
{
"created": "Mon, 6 Mar 1995 05:42:57 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Mar 1995 17:33:39 GMT",
"version": "v2"
}
] |
2011-04-20
|
[
[
"Awata",
"H.",
""
],
[
"Matsuo",
"Y.",
""
],
[
"Odake",
"S.",
""
],
[
"Shiraishi",
"J.",
""
]
] |
We review some recent results on the Calogero-Sutherland model with emphasis upon its algebraic aspects. We give integral formulae for excited states (Jack polynomials) of this model and their relations with W_n singular vectors and generalized matrix models.
| 17.440439
| 12.777879
| 18.76462
| 13.877028
| 12.052751
| 14.302558
| 14.699917
| 12.735384
| 14.375203
| 21.176832
| 13.410602
| 14.479347
| 17.038561
| 14.318339
| 14.190025
| 13.851905
| 14.123314
| 13.676898
| 14.104046
| 17.555573
| 13.919657
|
hep-th/0505006
|
Jean Michel Maillet
|
N. Kitanine, J. M. Maillet, N. A. Slavnov, V. Terras
|
On the algebraic Bethe Ansatz approach to the correlation functions of
the XXZ spin-1/2 Heisenberg chain
|
35 pages, review article
| null | null | null |
hep-th
| null |
We present a review of the method we have elaborated to compute the
correlation functions of the XXZ spin-1/2 Heisenberg chain. This method is
based on the resolution of the quantum inverse scattering problem in the
algebraic Bethe Ansatz framework, and leads to a multiple integral
representation of the dynamical correlation functions. We describe in
particular some recent advances concerning the two-point functions: in the
finite chain, they can be expressed in terms of a single multiple integral.
Such a formula provides a direct analytic connection between the previously
obtained multiple integral representations and the form factor expansions for
the correlation functions.
|
[
{
"created": "Sat, 30 Apr 2005 22:41:05 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Kitanine",
"N.",
""
],
[
"Maillet",
"J. M.",
""
],
[
"Slavnov",
"N. A.",
""
],
[
"Terras",
"V.",
""
]
] |
We present a review of the method we have elaborated to compute the correlation functions of the XXZ spin-1/2 Heisenberg chain. This method is based on the resolution of the quantum inverse scattering problem in the algebraic Bethe Ansatz framework, and leads to a multiple integral representation of the dynamical correlation functions. We describe in particular some recent advances concerning the two-point functions: in the finite chain, they can be expressed in terms of a single multiple integral. Such a formula provides a direct analytic connection between the previously obtained multiple integral representations and the form factor expansions for the correlation functions.
| 6.345957
| 6.819654
| 7.929472
| 6.147392
| 6.916719
| 6.939955
| 7.013556
| 6.515012
| 6.571111
| 8.701603
| 6.297103
| 6.030477
| 6.668097
| 6.157469
| 6.291091
| 6.165273
| 6.254138
| 6.072696
| 6.098998
| 6.683896
| 6.092792
|
0709.4169
|
Razvan-Gheorghe Gurau
|
Razvan Gurau
|
Exorcizing the Landau Ghost in Non Commutative Quantum Field Theory
| null |
J.Phys.Conf.Ser.103:012011,2008
|
10.1088/1742-6596/103/1/012011
| null |
hep-th
| null |
We show that the simplest non commutative renormalizable field theory, the
$\phi^4$ model on four dimensional Moyal space with harmonic potential is
asymptotically safe to all orders in perturbation theory
|
[
{
"created": "Wed, 26 Sep 2007 14:19:44 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Gurau",
"Razvan",
""
]
] |
We show that the simplest non commutative renormalizable field theory, the $\phi^4$ model on four dimensional Moyal space with harmonic potential is asymptotically safe to all orders in perturbation theory
| 7.710464
| 4.413884
| 8.844352
| 5.588154
| 4.203004
| 4.796265
| 4.321733
| 4.457927
| 4.960854
| 8.028265
| 5.471445
| 5.817418
| 7.535495
| 6.47368
| 6.297154
| 6.546126
| 6.081478
| 6.289391
| 6.289604
| 7.465579
| 6.050831
|
hep-th/0507111
|
Gerardo Cristofano
|
Gerardo Cristofano, Giuseppe Maiella, Vincenzo Marotta, Adele Naddeo,
Giuliano Niccoli
|
A Unifying Conformal Field Theory Approach to the Quantum Hall Effect
|
Review article to appear on Recent Research Developments in
Physics-Transworld Research Network, Kerala, India (2005)
|
Recent Res.Devel.Phys. 6 (2005) 571
| null |
Napoli DSF-08/2005, INFN-NA-08/2005
|
hep-th
| null |
We review the main results of the effective description of the Quantum Hall
fluid for the Jain fillings, nu=m/2pm+1, and the non-standard ones nu=m/pm+2 by
a conformal field theory (CFT) in two dimensions. It is stressed the unifying
character of the m-reduction procedure to construct appropriate twisted CFT
models, called Twisted Models (TM), which by construction reproduce the Quantum
Hall topological properties at those fillings. Indeed for the Jain plateaux we
find that the different descriptions given in the literature fall into
different sectors of the TM for the torus topology. Other interesting aspects
are explicitly seen for the m=2 non standard filling nu=1/p+1 (the pairing
case) as the merging of non-Abelian statistics or the instability of the TM
model (c=2) versus the Moore-Read one (c=3/2). Furthermore by using Boundary
CFT techniques the presence of localized impurities and/or dissipation is shown
to be closely connected with the twisted sector of the TM, whose presence
assures the consistency of the construction and whose role in describing non
trivial global properties of 2D quantum condensed matter systems is still under
study.
|
[
{
"created": "Tue, 12 Jul 2005 14:24:29 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Cristofano",
"Gerardo",
""
],
[
"Maiella",
"Giuseppe",
""
],
[
"Marotta",
"Vincenzo",
""
],
[
"Naddeo",
"Adele",
""
],
[
"Niccoli",
"Giuliano",
""
]
] |
We review the main results of the effective description of the Quantum Hall fluid for the Jain fillings, nu=m/2pm+1, and the non-standard ones nu=m/pm+2 by a conformal field theory (CFT) in two dimensions. It is stressed the unifying character of the m-reduction procedure to construct appropriate twisted CFT models, called Twisted Models (TM), which by construction reproduce the Quantum Hall topological properties at those fillings. Indeed for the Jain plateaux we find that the different descriptions given in the literature fall into different sectors of the TM for the torus topology. Other interesting aspects are explicitly seen for the m=2 non standard filling nu=1/p+1 (the pairing case) as the merging of non-Abelian statistics or the instability of the TM model (c=2) versus the Moore-Read one (c=3/2). Furthermore by using Boundary CFT techniques the presence of localized impurities and/or dissipation is shown to be closely connected with the twisted sector of the TM, whose presence assures the consistency of the construction and whose role in describing non trivial global properties of 2D quantum condensed matter systems is still under study.
| 16.136841
| 15.704158
| 19.808756
| 15.338665
| 16.532345
| 15.840748
| 16.948462
| 15.368099
| 14.668808
| 22.485441
| 15.104005
| 15.762225
| 17.823915
| 16.336237
| 15.73679
| 15.839971
| 15.885381
| 15.603379
| 15.798909
| 17.430977
| 16.198637
|
1503.07482
|
David A. Lowe
|
Atreya Chatterjee and David A. Lowe
|
Holographic operator mapping in dS/CFT and cluster decomposition
|
16 pages, 1 figure
|
Phys. Rev. D 92, 084038 (2015)
|
10.1103/PhysRevD.92.084038
|
BROWN-HET-1671
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The bulk to boundary mapping for massive scalar fields is constructed,
providing a de Sitter analog of the LSZ reduction formula. The set of boundary
correlators thus obtained defines a potentially new class of conformal field
theories based on principal series representations of the global conformal
group. Conversely, we show bulk field operators in de Sitter may be
reconstructed from boundary operators. While consistent at the level of the
free field theory, the boundary CFT does not satisfy cluster decomposition. The
resulting conformal field theory does not satisfy the basic axioms of Euclidean
quantum field theory due to Osterwalder and Schrader, so is likely not
well-defined once interactions are included.
|
[
{
"created": "Wed, 25 Mar 2015 18:30:31 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Jul 2015 17:41:45 GMT",
"version": "v2"
}
] |
2015-10-28
|
[
[
"Chatterjee",
"Atreya",
""
],
[
"Lowe",
"David A.",
""
]
] |
The bulk to boundary mapping for massive scalar fields is constructed, providing a de Sitter analog of the LSZ reduction formula. The set of boundary correlators thus obtained defines a potentially new class of conformal field theories based on principal series representations of the global conformal group. Conversely, we show bulk field operators in de Sitter may be reconstructed from boundary operators. While consistent at the level of the free field theory, the boundary CFT does not satisfy cluster decomposition. The resulting conformal field theory does not satisfy the basic axioms of Euclidean quantum field theory due to Osterwalder and Schrader, so is likely not well-defined once interactions are included.
| 10.918605
| 10.16775
| 11.882434
| 10.300347
| 9.654219
| 10.84411
| 9.567189
| 9.74107
| 10.167511
| 13.189903
| 9.756927
| 9.456451
| 10.396006
| 9.707469
| 9.70254
| 9.507737
| 9.733274
| 10.002063
| 10.149678
| 10.946967
| 9.866837
|
hep-th/0111268
|
Valerio Bozza
|
V. Bozza, M. Gasperini, G. Veneziano
|
Scalar fluctuations in dilatonic brane-worlds
|
10 pages. Talk presented by V. Bozza at COSMO-01 conference,
Rovaniemi, 2001
| null | null | null |
hep-th
| null |
We derive and solve the full set of scalar perturbation equations for a class
of five-dimensional brane--world solutions, with a dilaton scalar field coupled
to the bulk cosmological constant and to a 3-brane. The spectrum contains one
localized massless scalar mode, to be interpreted as an effective dilaton on
the brane, inducing long--range scalar interactions. Two massive scalar modes
yield corrections to Newton's law at short distances, which persist even in the
limit of vanishing dilaton (namely, in the standard Randall--Sundrum
configuration).
|
[
{
"created": "Thu, 29 Nov 2001 10:30:19 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Bozza",
"V.",
""
],
[
"Gasperini",
"M.",
""
],
[
"Veneziano",
"G.",
""
]
] |
We derive and solve the full set of scalar perturbation equations for a class of five-dimensional brane--world solutions, with a dilaton scalar field coupled to the bulk cosmological constant and to a 3-brane. The spectrum contains one localized massless scalar mode, to be interpreted as an effective dilaton on the brane, inducing long--range scalar interactions. Two massive scalar modes yield corrections to Newton's law at short distances, which persist even in the limit of vanishing dilaton (namely, in the standard Randall--Sundrum configuration).
| 9.487813
| 8.518637
| 9.187009
| 8.240606
| 8.190875
| 8.564209
| 8.606936
| 7.943719
| 8.10407
| 9.839779
| 7.898565
| 8.445531
| 8.820819
| 8.484566
| 8.43941
| 8.41964
| 8.075109
| 8.329202
| 8.641345
| 9.377842
| 8.55099
|
1712.01089
|
Clay C\'ordova
|
Clay Cordova and Kenan Diab
|
Universal Bounds on Operator Dimensions from the Average Null Energy
Condition
|
21 pages+appendices, 4 Mathematica files
| null |
10.1007/JHEP02(2018)131
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the average null energy condition implies novel lower bounds on
the scaling dimensions of highly-chiral primary operators in four-dimensional
conformal field theories. Denoting the spin of an operator by a pair of
integers $(k,\bar{k})$ specifying the transformations under chiral
$\frak{su}(2)$ rotations, we explicitly demonstrate these new bounds for
operators transforming in $(k,0)$ and $(k,1)$ representations for sufficiently
large $k$. Based on these calculations, along with intuition from free field
theory, we conjecture that in any unitary conformal field theory, primary local
operators of spin $(k,\bar{k})$ and scaling dimension $\Delta$ satisfy $\Delta
\geq \text{max}\{k,\bar{k}\}.$ If $|k-\bar{k}| > 4$, this is stronger than the
unitarity bound.
|
[
{
"created": "Mon, 4 Dec 2017 14:29:57 GMT",
"version": "v1"
}
] |
2018-04-04
|
[
[
"Cordova",
"Clay",
""
],
[
"Diab",
"Kenan",
""
]
] |
We show that the average null energy condition implies novel lower bounds on the scaling dimensions of highly-chiral primary operators in four-dimensional conformal field theories. Denoting the spin of an operator by a pair of integers $(k,\bar{k})$ specifying the transformations under chiral $\frak{su}(2)$ rotations, we explicitly demonstrate these new bounds for operators transforming in $(k,0)$ and $(k,1)$ representations for sufficiently large $k$. Based on these calculations, along with intuition from free field theory, we conjecture that in any unitary conformal field theory, primary local operators of spin $(k,\bar{k})$ and scaling dimension $\Delta$ satisfy $\Delta \geq \text{max}\{k,\bar{k}\}.$ If $|k-\bar{k}| > 4$, this is stronger than the unitarity bound.
| 6.033503
| 6.487277
| 6.793041
| 5.996953
| 6.105351
| 6.585862
| 6.50553
| 6.514117
| 6.006335
| 7.122478
| 6.323214
| 6.268549
| 6.190046
| 6.020091
| 6.010698
| 5.897775
| 5.948316
| 6.185932
| 5.882664
| 6.078101
| 6.005125
|
0706.0222
|
Rutwig C. Stursberg
|
R. Campoamor-Stursberg
|
Non-solvable contractions of semisimple Lie algebras in low dimension
|
21 pages. 2 Tables, 2 figures
|
J.Phys.A40:5355-5372,2007
|
10.1088/1751-8113/40/20/008
| null |
hep-th
| null |
The problem of non-solvable contractions of Lie algebras is analyzed. By
means of a stability theorem, the problem is shown to be deeply related to the
embeddings among semisimple Lie algebras and the resulting branching rules for
representations. With this procedure, we determine all deformations of
indecomposable Lie algebras having a nontrivial Levi decomposition onto
semisimple Lie algebras of dimension $n\leq 8$, and obtain the non-solvable
contractions of the latter class of algebras.
|
[
{
"created": "Fri, 1 Jun 2007 21:30:21 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Campoamor-Stursberg",
"R.",
""
]
] |
The problem of non-solvable contractions of Lie algebras is analyzed. By means of a stability theorem, the problem is shown to be deeply related to the embeddings among semisimple Lie algebras and the resulting branching rules for representations. With this procedure, we determine all deformations of indecomposable Lie algebras having a nontrivial Levi decomposition onto semisimple Lie algebras of dimension $n\leq 8$, and obtain the non-solvable contractions of the latter class of algebras.
| 9.468959
| 9.177365
| 9.890915
| 8.531117
| 8.750068
| 8.90618
| 8.433468
| 8.905469
| 8.569559
| 9.178907
| 9.339087
| 8.675095
| 8.921201
| 8.570454
| 8.509567
| 8.467816
| 8.676724
| 8.410809
| 8.679209
| 8.762121
| 8.106996
|
2111.06879
|
Ruben Monten
|
Ruben Monten, Chiara Toldo
|
On the Search for Multicenter AdS Black Holes from M-theory
|
Typos fixed
| null |
10.1007/JHEP02(2022)009
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We study the effective potentials for various probe branes surrounding
AdS$_4$ black holes with massive halos in consistent truncations of M-theory on
the Sasaki-Einstein$_7$ manifolds $Q^{111}$ and $M^{111}$. These probes are
either M2 branes extended in spacetime or "particle-like" probes such as
internally wrapped M2 branes and, upon reduction to type IIA string theory, D6
branes corresponding to baryon operators in the dual Chern-Simons theory. We
find both global and local minima of the potential outside the horizon,
indicating the existence of stable and metastable multicenter AdS black holes
in the extreme mass ratio regime, at fixed temperature and charges. For the
planar case, we also find an instability towards nucleation of
spacetime-filling M2 branes. With this analysis, we address some open questions
on the holographic description of glassy phases of matter.
|
[
{
"created": "Fri, 12 Nov 2021 18:57:20 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Dec 2021 19:38:19 GMT",
"version": "v2"
}
] |
2022-02-23
|
[
[
"Monten",
"Ruben",
""
],
[
"Toldo",
"Chiara",
""
]
] |
We study the effective potentials for various probe branes surrounding AdS$_4$ black holes with massive halos in consistent truncations of M-theory on the Sasaki-Einstein$_7$ manifolds $Q^{111}$ and $M^{111}$. These probes are either M2 branes extended in spacetime or "particle-like" probes such as internally wrapped M2 branes and, upon reduction to type IIA string theory, D6 branes corresponding to baryon operators in the dual Chern-Simons theory. We find both global and local minima of the potential outside the horizon, indicating the existence of stable and metastable multicenter AdS black holes in the extreme mass ratio regime, at fixed temperature and charges. For the planar case, we also find an instability towards nucleation of spacetime-filling M2 branes. With this analysis, we address some open questions on the holographic description of glassy phases of matter.
| 9.491743
| 9.531465
| 11.461922
| 9.248349
| 9.818039
| 9.547341
| 8.863075
| 9.273634
| 9.267752
| 11.681879
| 9.339397
| 9.221934
| 10.081151
| 9.054009
| 9.221601
| 9.224628
| 8.886727
| 9.414016
| 9.164097
| 10.415128
| 8.990147
|
1508.02109
|
Azadeh Mohammadi
|
Azadeh Mohammadi, Eug\^enio Ramos Bezerra de Mello
|
Finite temperature bosonic charge and current densities in compactified
cosmic string spacetime
|
22 pages, 13 figures
|
Phys. Rev. D 93, 123521 (2016)
|
10.1103/PhysRevD.93.123521
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we study the expectation values of the induced charge and
current densities for a massive bosonic field with nonzero chemical potential
in the geometry of a higher dimensional compactified cosmic string with
magnetic fluxes, along the string core and also enclosed by the compactified
direction, in thermal equilibrium at finite temperature $T$. These densities
are calculated by decomposing them into the vacuum expectation values and
finite temperature contributions coming from the particles and antiparticles.
The only nonzero components correspond to the charge, azimuthal and axial
current densities. By using the Abel-Plana formula, we decompose the components
of the densities into the part induced by the cosmic string and the one by the
compactification. The charge density is an odd function of the chemical
potential and even periodic function of the magnetic flux with a period equal
to the quantum flux. Moreover, the azimuthal (axial) current density is an even
function of the chemical potential and an odd (even) periodic function of the
magnetic flux with the same period. In this paper our main concern is the
thermal effect on the charge and current densities, including some limiting
cases, the low and high temperature approximations. We show that in all cases
the temperature enhances the induced densities.
|
[
{
"created": "Mon, 10 Aug 2015 02:34:56 GMT",
"version": "v1"
}
] |
2016-06-29
|
[
[
"Mohammadi",
"Azadeh",
""
],
[
"de Mello",
"Eugênio Ramos Bezerra",
""
]
] |
In this paper we study the expectation values of the induced charge and current densities for a massive bosonic field with nonzero chemical potential in the geometry of a higher dimensional compactified cosmic string with magnetic fluxes, along the string core and also enclosed by the compactified direction, in thermal equilibrium at finite temperature $T$. These densities are calculated by decomposing them into the vacuum expectation values and finite temperature contributions coming from the particles and antiparticles. The only nonzero components correspond to the charge, azimuthal and axial current densities. By using the Abel-Plana formula, we decompose the components of the densities into the part induced by the cosmic string and the one by the compactification. The charge density is an odd function of the chemical potential and even periodic function of the magnetic flux with a period equal to the quantum flux. Moreover, the azimuthal (axial) current density is an even function of the chemical potential and an odd (even) periodic function of the magnetic flux with the same period. In this paper our main concern is the thermal effect on the charge and current densities, including some limiting cases, the low and high temperature approximations. We show that in all cases the temperature enhances the induced densities.
| 6.565127
| 5.569765
| 7.116976
| 5.434187
| 5.599696
| 5.165791
| 5.203047
| 5.397992
| 5.031704
| 7.592038
| 5.522781
| 5.81249
| 6.724198
| 6.182033
| 6.187469
| 5.837564
| 5.92415
| 6.01829
| 6.057483
| 6.480383
| 6.095888
|
0910.4805
|
Igor Kondrashuk
|
Pedro Allendes, Natanael Guerrero, Igor Kondrashuk, Eduardo A. Notte
Cuello
|
New four-dimensional integrals by Mellin-Barnes transform
|
Talk at El Congreso de Matematica Capricornio, COMCA 2009,
Antofagasta, Chile and at DMFA seminar, UCSC, Concepcion, Chile, 24 pages;
revised version, Introduction is modified, Conclusion is added, five
Appendices are added, Appendix E is new
|
J.Math.Phys.51:052304,2010
|
10.1063/1.3357105
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper is devoted to the calculation by Mellin-Barnes transform of a
especial class of integrals. It contains double integrals in the position space
in d = 4-2e dimensions, where e is parameter of dimensional regularization.
These integrals contribute to the effective action of the N = 4 supersymmetric
Yang-Mills theory. The integrand is a fraction in which the numerator is a
logarithm of ratio of spacetime intervals, and the denominator is the product
of powers of spacetime intervals. According to the method developed in the
previous papers, in order to make use of the uniqueness technique for one of
two integrations, we shift exponents in powers in the denominator of integrands
by some multiples of e. As the next step, the second integration in the
position space is done by Mellin-Barnes transform. For normalizing procedure,
we reproduce first the known result obtained earlier by Gegenbauer polynomial
technique. Then, we make another shift of exponents in powers in the
denominator to create the logarithm in the numerator as the derivative with
respect to the shift parameter delta. We show that the technique of work with
the contour of the integral modified in this way by using Mellin-Barnes
transform repeats the technique of work with the contour of the integral
without such a modification. In particular, all the operations with a shift of
contour of integration over complex variables of two-fold Mellin-Barnes
transform are the same as before the delta modification of indices, and even
the poles of residues coincide. This confirms the observation made in the
previous papers that in the position space all the Green function of N = 4
supersymmetric Yang-Mills theory can be expressed in terms of UD functions.
|
[
{
"created": "Mon, 26 Oct 2009 04:21:34 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Nov 2009 19:53:39 GMT",
"version": "v2"
},
{
"created": "Wed, 3 Feb 2010 21:37:41 GMT",
"version": "v3"
}
] |
2010-06-01
|
[
[
"Allendes",
"Pedro",
""
],
[
"Guerrero",
"Natanael",
""
],
[
"Kondrashuk",
"Igor",
""
],
[
"Cuello",
"Eduardo A. Notte",
""
]
] |
This paper is devoted to the calculation by Mellin-Barnes transform of a especial class of integrals. It contains double integrals in the position space in d = 4-2e dimensions, where e is parameter of dimensional regularization. These integrals contribute to the effective action of the N = 4 supersymmetric Yang-Mills theory. The integrand is a fraction in which the numerator is a logarithm of ratio of spacetime intervals, and the denominator is the product of powers of spacetime intervals. According to the method developed in the previous papers, in order to make use of the uniqueness technique for one of two integrations, we shift exponents in powers in the denominator of integrands by some multiples of e. As the next step, the second integration in the position space is done by Mellin-Barnes transform. For normalizing procedure, we reproduce first the known result obtained earlier by Gegenbauer polynomial technique. Then, we make another shift of exponents in powers in the denominator to create the logarithm in the numerator as the derivative with respect to the shift parameter delta. We show that the technique of work with the contour of the integral modified in this way by using Mellin-Barnes transform repeats the technique of work with the contour of the integral without such a modification. In particular, all the operations with a shift of contour of integration over complex variables of two-fold Mellin-Barnes transform are the same as before the delta modification of indices, and even the poles of residues coincide. This confirms the observation made in the previous papers that in the position space all the Green function of N = 4 supersymmetric Yang-Mills theory can be expressed in terms of UD functions.
| 8.68539
| 9.402495
| 9.256878
| 8.666181
| 9.433478
| 9.574082
| 9.478624
| 9.061172
| 8.567602
| 9.961506
| 8.984708
| 8.826207
| 8.742508
| 8.556264
| 8.84125
| 8.470922
| 8.733803
| 8.451189
| 8.509713
| 8.781125
| 8.685304
|
1012.2882
|
Constantinos Papageorgakis
|
Neil Lambert, Constantinos Papageorgakis and Maximilian
Schmidt-Sommerfeld
|
M5-Branes, D4-Branes and Quantum 5D super-Yang-Mills
|
16 pages, Latex; v2: typos corrected and references added; v3:
expanded discussion of photon states and revised Higgs mechanism, conclusions
unchanged
|
JHEP 1101:083,2011
|
10.1007/JHEP01(2011)083
|
CERN-PH-TH/2010-294, KCL-MTH-10-17
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We revisit the relation of the six-dimensional (2,0) M5-brane Conformal Field
Theory compactified on a circle to 5D maximally supersymmetric Yang-Mills Gauge
Theory. We show that in the broken phase 5D super-Yang-Mills contains a
spectrum of soliton states that can be identified with the complete
Kaluza-Klein modes of an M2-brane ending on the M5-branes. This provides
evidence that the (2,0) theory on a circle is equivalent to 5D super-Yang-Mills
with no additional UV degrees of freedom, suggesting that the latter is in fact
a well-defined quantum theory and possibly finite.
|
[
{
"created": "Mon, 13 Dec 2010 21:18:02 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Dec 2010 20:05:37 GMT",
"version": "v2"
},
{
"created": "Tue, 22 Feb 2011 03:26:43 GMT",
"version": "v3"
}
] |
2011-02-23
|
[
[
"Lambert",
"Neil",
""
],
[
"Papageorgakis",
"Constantinos",
""
],
[
"Schmidt-Sommerfeld",
"Maximilian",
""
]
] |
We revisit the relation of the six-dimensional (2,0) M5-brane Conformal Field Theory compactified on a circle to 5D maximally supersymmetric Yang-Mills Gauge Theory. We show that in the broken phase 5D super-Yang-Mills contains a spectrum of soliton states that can be identified with the complete Kaluza-Klein modes of an M2-brane ending on the M5-branes. This provides evidence that the (2,0) theory on a circle is equivalent to 5D super-Yang-Mills with no additional UV degrees of freedom, suggesting that the latter is in fact a well-defined quantum theory and possibly finite.
| 6.039918
| 5.732792
| 6.554471
| 5.51702
| 5.44725
| 5.640225
| 6.228407
| 5.665252
| 5.488126
| 6.6939
| 5.516098
| 5.60781
| 5.977359
| 5.576026
| 5.588419
| 5.559472
| 5.575528
| 5.643847
| 5.650363
| 5.992212
| 5.54368
|
0907.1580
|
Soon-Tae Hong
|
Soon-Tae Hong
|
BRST invariance and de Rham-type cohomology of 't Hooft-Polyakov
monopole
|
8 pages
|
Mod.Phys.Lett.A25:2529-2539,2010
|
10.1142/S0217732310033736
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We exploit the 't Hooft-Polyakov monopole to define closed algebra of the
quantum field operators and the BRST charge $Q_{BRST}$. In the first-class
configuration of the Dirac quantization, by including the $Q_{BRST}$-exact
gauge fixing term and the Faddeev-Popov ghost term, we find the BRST invariant
Hamiltonian to investigate the de Rham-type cohomology group structure for the
monopole system. The Bogomol'nyi bound is also discussed in terms of the
first-class topological charge defined on the extended internal 2-sphere.
|
[
{
"created": "Thu, 9 Jul 2009 14:53:22 GMT",
"version": "v1"
}
] |
2014-11-20
|
[
[
"Hong",
"Soon-Tae",
""
]
] |
We exploit the 't Hooft-Polyakov monopole to define closed algebra of the quantum field operators and the BRST charge $Q_{BRST}$. In the first-class configuration of the Dirac quantization, by including the $Q_{BRST}$-exact gauge fixing term and the Faddeev-Popov ghost term, we find the BRST invariant Hamiltonian to investigate the de Rham-type cohomology group structure for the monopole system. The Bogomol'nyi bound is also discussed in terms of the first-class topological charge defined on the extended internal 2-sphere.
| 9.211195
| 9.104911
| 9.024276
| 8.719972
| 9.103768
| 8.901026
| 7.992881
| 8.424612
| 8.51821
| 10.138803
| 8.23775
| 8.424244
| 8.846282
| 8.094743
| 7.956684
| 8.227271
| 8.268682
| 8.037263
| 8.297853
| 8.637088
| 8.167913
|
0810.4677
|
Yi-Fu Cai
|
Yi-Fu Cai, Taotao Qiu, Robert Brandenberger, Xinmin Zhang
|
A Nonsingular Cosmology with a Scale-Invariant Spectrum of Cosmological
Perturbations from Lee-Wick Theory
|
18 pages, 6 figures
|
Phys.Rev.D80:023511,2009
|
10.1103/PhysRevD.80.023511
| null |
hep-th astro-ph gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the cosmology of a Lee-Wick type scalar field theory. First, we
consider homogeneous and isotropic background solutions and find that they are
nonsingular, leading to cosmological bounces. Next, we analyze the spectrum of
cosmological perturbations which result from this model. Unless either the
potential of the Lee-Wick theory or the initial conditions are finely tuned, it
is impossible to obtain background solutions which have a sufficiently long
period of inflation after the bounce. More interestingly, however, we find that
in the generic non-inflationary bouncing cosmology, perturbations created from
quantum vacuum fluctuations in the contracting phase have the correct form to
lead to a scale-invariant spectrum of metric inhomogeneities in the expanding
phase. Since the background is non-singular, the evolution of the fluctuations
is defined unambiguously through the bounce. We also analyze the evolution of
fluctuations which emerge from thermal initial conditions in the contracting
phase. The spectrum of gravitational waves stemming for quantum vacuum
fluctuations in the contracting phase is also scale-invariant, and the tensor
to scalar ratio is not suppressed.
|
[
{
"created": "Sun, 26 Oct 2008 10:10:50 GMT",
"version": "v1"
}
] |
2009-11-18
|
[
[
"Cai",
"Yi-Fu",
""
],
[
"Qiu",
"Taotao",
""
],
[
"Brandenberger",
"Robert",
""
],
[
"Zhang",
"Xinmin",
""
]
] |
We study the cosmology of a Lee-Wick type scalar field theory. First, we consider homogeneous and isotropic background solutions and find that they are nonsingular, leading to cosmological bounces. Next, we analyze the spectrum of cosmological perturbations which result from this model. Unless either the potential of the Lee-Wick theory or the initial conditions are finely tuned, it is impossible to obtain background solutions which have a sufficiently long period of inflation after the bounce. More interestingly, however, we find that in the generic non-inflationary bouncing cosmology, perturbations created from quantum vacuum fluctuations in the contracting phase have the correct form to lead to a scale-invariant spectrum of metric inhomogeneities in the expanding phase. Since the background is non-singular, the evolution of the fluctuations is defined unambiguously through the bounce. We also analyze the evolution of fluctuations which emerge from thermal initial conditions in the contracting phase. The spectrum of gravitational waves stemming for quantum vacuum fluctuations in the contracting phase is also scale-invariant, and the tensor to scalar ratio is not suppressed.
| 6.671226
| 6.889928
| 7.037707
| 6.495091
| 6.871307
| 6.892838
| 6.693407
| 6.927181
| 6.526332
| 7.321089
| 6.709228
| 6.673757
| 6.714074
| 6.600449
| 6.729154
| 6.828724
| 6.680384
| 6.627234
| 6.573921
| 6.647923
| 6.516113
|
2404.18441
|
Chen-Te Ma
|
Xingyu Guo, Chen-Te Ma, and Hui Zhang
|
Non-Hermitian Lattice Fermions in 2D GNY Model
|
26 pages, 10 figures, minor changes
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We work the lattice fermions and non-Hermitian formulation in the 2D GNY
model and demonstrate the numerical implementation for two flavors by the
Hybrid Monte Carlo. Our approach has a notable advantage in dealing with chiral
symmetry on a lattice by avoiding the Nielsen-Ninomiya theorem, due to the
non-symmetrized finite-difference operator. We restore the hypercubic symmetry
by averaging over all possible orientations with the proper continuum limit.
Our study is the first simulation for the interacting fermion formulated in a
non-hermitian way. We compare the numerical solution with the one-loop
resummation. The resummation results matches with the numerical solution in
$\langle\phi\rangle$, $\langle\phi^2\rangle$,
$\langle\mathrm{Tr}(\bar{\psi}_1\psi_1+\bar{\psi}_2\psi_2)/2\rangle$, and
$\langle\mathrm{Tr}(\bar{\psi}_1\psi_1+\bar{\psi}_2\psi_2)\phi/2\rangle$. We
also used the one-loop resummation to provide the RG flow and asymptotic safety
in the 2D GNY model.
|
[
{
"created": "Mon, 29 Apr 2024 05:36:59 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Jul 2024 19:48:40 GMT",
"version": "v2"
}
] |
2024-07-12
|
[
[
"Guo",
"Xingyu",
""
],
[
"Ma",
"Chen-Te",
""
],
[
"Zhang",
"Hui",
""
]
] |
We work the lattice fermions and non-Hermitian formulation in the 2D GNY model and demonstrate the numerical implementation for two flavors by the Hybrid Monte Carlo. Our approach has a notable advantage in dealing with chiral symmetry on a lattice by avoiding the Nielsen-Ninomiya theorem, due to the non-symmetrized finite-difference operator. We restore the hypercubic symmetry by averaging over all possible orientations with the proper continuum limit. Our study is the first simulation for the interacting fermion formulated in a non-hermitian way. We compare the numerical solution with the one-loop resummation. The resummation results matches with the numerical solution in $\langle\phi\rangle$, $\langle\phi^2\rangle$, $\langle\mathrm{Tr}(\bar{\psi}_1\psi_1+\bar{\psi}_2\psi_2)/2\rangle$, and $\langle\mathrm{Tr}(\bar{\psi}_1\psi_1+\bar{\psi}_2\psi_2)\phi/2\rangle$. We also used the one-loop resummation to provide the RG flow and asymptotic safety in the 2D GNY model.
| 7.664157
| 8.464998
| 8.082161
| 8.084806
| 8.565164
| 8.923282
| 8.309179
| 7.849169
| 8.126819
| 8.713968
| 7.852095
| 7.568776
| 7.520323
| 7.439522
| 7.444572
| 7.431006
| 7.750843
| 7.714573
| 7.485047
| 7.608555
| 7.476666
|
1107.0290
|
Andrea Campoleoni
|
Andrea Campoleoni, Stefan Fredenhagen, Stefan Pfenninger
|
Asymptotic W-symmetries in three-dimensional higher-spin gauge theories
|
61 pages
| null |
10.1007/JHEP09(2011)113
|
AEI-2011-041
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss how to systematically compute the asymptotic symmetry algebras of
generic three-dimensional bosonic higher-spin gauge theories in backgrounds
that are asymptotically AdS. We apply these techniques to a one-parameter
family of higher-spin gauge theories that can be considered as large N limits
of SL(N) x SL(N) Chern-Simons theories, and we provide a closed formula for the
structure constants of the resulting infinite-dimensional non-linear
W-algebras. Along the way we provide a closed formula for the structure
constants of all classical W_N algebras. In both examples the higher-spin
generators of the W-algebras are Virasoro primaries. We eventually discuss how
to relate our basis to a non-primary quadratic basis that was previously
discussed in literature.
|
[
{
"created": "Fri, 1 Jul 2011 18:06:35 GMT",
"version": "v1"
}
] |
2015-05-28
|
[
[
"Campoleoni",
"Andrea",
""
],
[
"Fredenhagen",
"Stefan",
""
],
[
"Pfenninger",
"Stefan",
""
]
] |
We discuss how to systematically compute the asymptotic symmetry algebras of generic three-dimensional bosonic higher-spin gauge theories in backgrounds that are asymptotically AdS. We apply these techniques to a one-parameter family of higher-spin gauge theories that can be considered as large N limits of SL(N) x SL(N) Chern-Simons theories, and we provide a closed formula for the structure constants of the resulting infinite-dimensional non-linear W-algebras. Along the way we provide a closed formula for the structure constants of all classical W_N algebras. In both examples the higher-spin generators of the W-algebras are Virasoro primaries. We eventually discuss how to relate our basis to a non-primary quadratic basis that was previously discussed in literature.
| 8.704859
| 8.398078
| 10.706585
| 8.174336
| 7.921787
| 8.677961
| 8.43846
| 7.968144
| 8.196756
| 10.754001
| 7.907295
| 8.520247
| 8.549218
| 8.261458
| 8.560155
| 8.305453
| 8.465294
| 7.934385
| 8.170421
| 9.05071
| 8.085986
|
1410.6412
|
Sayantani Lahiri
|
Sayantani Lahiri
|
Black hole in a radially slant warped braneworld scenario
|
9 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
As a follow-up to our previous paper arxiv: 1309.4244[hep-th], we determine
radion induced spherically symmetric solution using the gradient approximation
scheme, when two warped $3$-branes are slant with respect to each other such
that the radion field in this case is a radial co-ordinate varying function.
The slanting between the branes is assumed to be small. In the absence of any
on-brane matter except that induced effects of radion field, the resulting
black hole is found to be extremal Reissner-Nordstrom whose mass is
proportional to the slanting between the $3$-branes. It is however seen that
the inter-brane separation diminishes to zero for a particular value of radial
co-ordinate which can be mimicked as intersection of the branes. This situation
can be circumvented by adding traceless on-brane matter on the negative tension
brane.
|
[
{
"created": "Thu, 23 Oct 2014 16:47:50 GMT",
"version": "v1"
}
] |
2014-10-24
|
[
[
"Lahiri",
"Sayantani",
""
]
] |
As a follow-up to our previous paper arxiv: 1309.4244[hep-th], we determine radion induced spherically symmetric solution using the gradient approximation scheme, when two warped $3$-branes are slant with respect to each other such that the radion field in this case is a radial co-ordinate varying function. The slanting between the branes is assumed to be small. In the absence of any on-brane matter except that induced effects of radion field, the resulting black hole is found to be extremal Reissner-Nordstrom whose mass is proportional to the slanting between the $3$-branes. It is however seen that the inter-brane separation diminishes to zero for a particular value of radial co-ordinate which can be mimicked as intersection of the branes. This situation can be circumvented by adding traceless on-brane matter on the negative tension brane.
| 11.299408
| 11.847402
| 11.052528
| 10.570132
| 11.186267
| 11.184276
| 10.783789
| 10.42557
| 10.995441
| 12.392377
| 10.506014
| 10.538891
| 10.770533
| 10.279257
| 10.922106
| 10.644423
| 10.712932
| 10.208437
| 10.343587
| 10.484971
| 10.756547
|
hep-th/0601078
|
Gabriele Tartaglino-Mazzucchelli
|
L. Girardello, A. Mariotti, G. Tartaglino-Mazzucchelli
|
On supersymmetry breaking and the Dijkgraaf-Vafa conjecture
|
24 pages, LaTeX; minor changes, one reference added, version to
appear in JHEP
|
JHEP0603:104,2006
|
10.1088/1126-6708/2006/03/104
| null |
hep-th
| null |
We investigate the Dijkgraaf-Vafa proposal when supersymmetry is broken. We
consider U(N) SYM with chiral adjoint matter where the coupling constants in
the tree-level superpotential are promoted to chiral spurions. The holomorphic
part of the low-energy glueball superpotential can still be analyzed. We
compute the holomorphic supersymmetry breaking contributions using methods of
the geometry underlying the N=1 effective gauge theory viewed as a Whitham
system. We also study the change in the effective glueball superpotential using
perturbative supergraph techniques in the presence of spurions.
|
[
{
"created": "Thu, 12 Jan 2006 19:16:37 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Mar 2006 14:34:02 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Girardello",
"L.",
""
],
[
"Mariotti",
"A.",
""
],
[
"Tartaglino-Mazzucchelli",
"G.",
""
]
] |
We investigate the Dijkgraaf-Vafa proposal when supersymmetry is broken. We consider U(N) SYM with chiral adjoint matter where the coupling constants in the tree-level superpotential are promoted to chiral spurions. The holomorphic part of the low-energy glueball superpotential can still be analyzed. We compute the holomorphic supersymmetry breaking contributions using methods of the geometry underlying the N=1 effective gauge theory viewed as a Whitham system. We also study the change in the effective glueball superpotential using perturbative supergraph techniques in the presence of spurions.
| 11.865587
| 10.389977
| 13.473258
| 9.828084
| 10.458374
| 10.193582
| 9.375159
| 10.087129
| 10.194919
| 14.1108
| 10.100808
| 10.838169
| 11.344857
| 10.253145
| 10.566249
| 10.706541
| 10.944712
| 10.693201
| 10.698039
| 11.584485
| 10.291974
|
1509.00852
|
Lukas Witkowski
|
Mark D. Goodsell and Lukas T. Witkowski
|
Instanton induced Yukawa couplings from distant E3 and E(-1) instantons
|
41 pages, 2 figures; v2: references added
|
JHEP 1601:027,2016
|
10.1007/JHEP01(2016)027
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We calculate non-perturbative contributions to Yukawa couplings on D3-branes
at orbifold singularities due to E3 and fractional E(-1) instantons which do
not intersect the visible sector branes. While distant E3 instantons on bulk
cycles typically contribute to Yukawa couplings, we find that distant
fractional E(-1) can also give rise to new Yukawa couplings. However,
fractional E(-1) instantons only induce Yukawa couplings if they are located at
a singularity which shares a collapsed homologous two-cycle with the
singularity supporting the visible sector. The non-perturbative contributions
to Yukawa couplings exhibit a different flavour structure than the tree-level
Yukawa couplings and, as a result, they can be sources of flavour violation.
This is particularly relevant for schemes of moduli stabilisation which rely on
superpotential contributions from E3 instantons, such as KKLT or the Large
Volume Scenario. As a byproduct of our analysis, we shed some new light on the
properties of annulus diagrams with matter field insertions in stringy
instanton calculus.
|
[
{
"created": "Wed, 2 Sep 2015 20:04:05 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Nov 2015 14:20:10 GMT",
"version": "v2"
}
] |
2016-01-19
|
[
[
"Goodsell",
"Mark D.",
""
],
[
"Witkowski",
"Lukas T.",
""
]
] |
We calculate non-perturbative contributions to Yukawa couplings on D3-branes at orbifold singularities due to E3 and fractional E(-1) instantons which do not intersect the visible sector branes. While distant E3 instantons on bulk cycles typically contribute to Yukawa couplings, we find that distant fractional E(-1) can also give rise to new Yukawa couplings. However, fractional E(-1) instantons only induce Yukawa couplings if they are located at a singularity which shares a collapsed homologous two-cycle with the singularity supporting the visible sector. The non-perturbative contributions to Yukawa couplings exhibit a different flavour structure than the tree-level Yukawa couplings and, as a result, they can be sources of flavour violation. This is particularly relevant for schemes of moduli stabilisation which rely on superpotential contributions from E3 instantons, such as KKLT or the Large Volume Scenario. As a byproduct of our analysis, we shed some new light on the properties of annulus diagrams with matter field insertions in stringy instanton calculus.
| 6.937738
| 6.86197
| 8.127313
| 6.86413
| 6.723479
| 6.924254
| 6.762477
| 6.489602
| 7.004596
| 7.757128
| 6.828531
| 6.769869
| 7.753942
| 6.92526
| 7.058685
| 6.696775
| 6.772313
| 6.939129
| 6.825579
| 7.514226
| 6.81136
|
hep-th/0406199
|
Theodore G. Erler
|
Theodore G. Erler, David J. Gross
|
Locality, Causality, and an Initial Value Formulation for Open String
Field Theory
|
50 pages, 8 figures. Minor corrections, references added
| null | null | null |
hep-th
| null |
In this paper, we explore the questions of time, locality and causality in
the framework of covariant open bosonic string field theory. We show that if an
open string field is expressed as a certain local function on spacetime--in
particular, a function of the lightcone component of the midpoint and the
transverse center of mass degrees of freedom--that cubic string field theory is
nonsingular and local in lightcone time. In particular, the theory has a well
defined initial value formulation resembling that of an ordinary second order
relativistic field theory in lightcone frame. This description can be achieved
by a nonsingular unitary transformation on the Fock space, and we demonstrate
explicitly that the theory is gauge invariant and the interaction vertex is
local in this basis. With an initial value formulation at hand, we are able to
construct an explicit second quantized operator formalism for the theory using
the Hamiltonian BRST formalism. We also explore issues of causality by
considering a singular limit of the theory where all spacetime coordinates are
taken to the midpoint. At any stage in this limit, the theory is well-defined
and arbitrarily close to being completely local and manifestly causal. We argue
that the this limit must account for the macroscopic causality of the string
S-matrix.
|
[
{
"created": "Tue, 22 Jun 2004 22:57:10 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Sep 2004 23:57:04 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Erler",
"Theodore G.",
""
],
[
"Gross",
"David J.",
""
]
] |
In this paper, we explore the questions of time, locality and causality in the framework of covariant open bosonic string field theory. We show that if an open string field is expressed as a certain local function on spacetime--in particular, a function of the lightcone component of the midpoint and the transverse center of mass degrees of freedom--that cubic string field theory is nonsingular and local in lightcone time. In particular, the theory has a well defined initial value formulation resembling that of an ordinary second order relativistic field theory in lightcone frame. This description can be achieved by a nonsingular unitary transformation on the Fock space, and we demonstrate explicitly that the theory is gauge invariant and the interaction vertex is local in this basis. With an initial value formulation at hand, we are able to construct an explicit second quantized operator formalism for the theory using the Hamiltonian BRST formalism. We also explore issues of causality by considering a singular limit of the theory where all spacetime coordinates are taken to the midpoint. At any stage in this limit, the theory is well-defined and arbitrarily close to being completely local and manifestly causal. We argue that the this limit must account for the macroscopic causality of the string S-matrix.
| 9.933778
| 11.239454
| 11.535996
| 10.153327
| 10.3587
| 10.973226
| 10.557302
| 10.245822
| 10.099421
| 12.069722
| 10.127642
| 9.801529
| 10.283014
| 9.697446
| 10.038905
| 10.027631
| 9.970037
| 9.821834
| 9.64909
| 10.305192
| 9.79706
|
0803.3483
|
Steven Gubser
|
Steven S. Gubser
|
Colorful horizons with charge in anti-de Sitter space
|
7 pages, 3 figures
|
Phys.Rev.Lett.101:191601,2008
|
10.1103/PhysRevLett.101.191601
|
PUPT-2264
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
An abelian gauge symmetry can be spontaneously broken near a black hole
horizon in anti-de Sitter space using a condensate of non-abelian gauge fields.
There is a second order phase transition between Reissner-Nordstrom-anti-de
Sitter solutions, which are preferred at high temperatures, and symmetry
breaking solutions, which are preferred at low temperatures.
|
[
{
"created": "Tue, 25 Mar 2008 01:38:21 GMT",
"version": "v1"
}
] |
2008-12-18
|
[
[
"Gubser",
"Steven S.",
""
]
] |
An abelian gauge symmetry can be spontaneously broken near a black hole horizon in anti-de Sitter space using a condensate of non-abelian gauge fields. There is a second order phase transition between Reissner-Nordstrom-anti-de Sitter solutions, which are preferred at high temperatures, and symmetry breaking solutions, which are preferred at low temperatures.
| 7.505299
| 5.539718
| 6.325073
| 5.608781
| 5.951096
| 6.265823
| 5.928196
| 6.075006
| 5.456995
| 6.264851
| 5.7809
| 5.68159
| 5.773306
| 5.516406
| 5.860466
| 5.805149
| 5.975665
| 5.55232
| 5.792533
| 5.886926
| 5.884229
|
hep-th/0601031
|
Marcus Spradlin
|
Freddy Cachazo, Marcus Spradlin, Anastasia Volovich
|
Hidden Beauty in Multiloop Amplitudes
|
21 pages, harvmac; v2: minor changes
|
JHEP0607:007,2006
|
10.1088/1126-6708/2006/07/007
|
MCTP-05-106
|
hep-th hep-ph
| null |
Planar L-loop maximally helicity violating amplitudes in N = 4 supersymmetric
Yang-Mills theory are believed to possess the remarkable property of satisfying
iteration relations in L. We propose a simple new method for studying the
iteration relations for four-particle amplitudes which involves the use of
certain linear differential operators and eliminates the need to fully evaluate
any loop integrals. We carry out this procedure in explicit detail for the
two-loop amplitude and argue that this method can be used to prove the
iteration relations to all loops up to polynomials in logarithms.
|
[
{
"created": "Fri, 6 Jan 2006 20:48:11 GMT",
"version": "v1"
},
{
"created": "Sat, 4 Mar 2006 19:05:24 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Cachazo",
"Freddy",
""
],
[
"Spradlin",
"Marcus",
""
],
[
"Volovich",
"Anastasia",
""
]
] |
Planar L-loop maximally helicity violating amplitudes in N = 4 supersymmetric Yang-Mills theory are believed to possess the remarkable property of satisfying iteration relations in L. We propose a simple new method for studying the iteration relations for four-particle amplitudes which involves the use of certain linear differential operators and eliminates the need to fully evaluate any loop integrals. We carry out this procedure in explicit detail for the two-loop amplitude and argue that this method can be used to prove the iteration relations to all loops up to polynomials in logarithms.
| 10.863855
| 7.681742
| 9.309278
| 7.482882
| 9.304962
| 8.265485
| 8.097178
| 7.943923
| 8.316606
| 9.839246
| 8.193384
| 7.575417
| 9.117683
| 8.157104
| 7.627002
| 8.003535
| 7.889842
| 8.048916
| 7.624995
| 9.463978
| 7.892694
|
1610.04413
|
Karl Landsteiner
|
Karl Landsteiner
|
Notes on Anomaly Induced Transport
|
Based on lectures presented at 56. Cracow School on Theoretical
Physics, May 24 - June 1 2016, Zakopane, Poland and the APCTP focus workshop
on Holography and Topology of Quantum Matter, August 22 - August 29, 2016,
Pohang, Korea, v2: typos corrected, references added, v3: some text
improvements, typos corrected and references added, v4: improved LLL
discussion
| null |
10.5506/APhysPolB.47.2617
|
IFT-UAM/CSIC-16-103
|
hep-th cond-mat.other
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Chiral anomalies give rise to dissipationless transport phenomena such as the
chiral magnetic and vortical effects. In these notes I review the theory from a
quantum field theoretic, hydrodynamic and holographic perspective. A physical
interpretation of the otherwise somewhat obscure concepts of consistent and
covariant anomalies will be given. Vanishing of the CME in strict equilibrium
will be connected to the boundary conditions in momentum space imposed by the
regularization. The role of the gravitational anomaly will be explained. That
it contributes to transport in an unexpectedly low order in the derivative
expansion can be easiest understood via holography. Anomalous transport is
supposed to play also a key role in understanding the electronics of advanced
materials, the Dirac- and Weyl (semi)metals. Anomaly related phenomena such as
negative magnetoresistivity, anomalous Hall effect, thermal anomalous Hall
effect and Fermi arcs can be understood via anomalous transport. Finally I
briefly review a holographic model of Weyl semimetal which allows to infer a
new phenomenon related to the gravitational anomaly: the presence of odd
viscosity.
|
[
{
"created": "Fri, 14 Oct 2016 11:35:04 GMT",
"version": "v1"
},
{
"created": "Mon, 31 Oct 2016 15:05:53 GMT",
"version": "v2"
},
{
"created": "Tue, 21 Mar 2017 16:17:08 GMT",
"version": "v3"
},
{
"created": "Fri, 28 Apr 2017 12:20:07 GMT",
"version": "v4"
}
] |
2017-05-01
|
[
[
"Landsteiner",
"Karl",
""
]
] |
Chiral anomalies give rise to dissipationless transport phenomena such as the chiral magnetic and vortical effects. In these notes I review the theory from a quantum field theoretic, hydrodynamic and holographic perspective. A physical interpretation of the otherwise somewhat obscure concepts of consistent and covariant anomalies will be given. Vanishing of the CME in strict equilibrium will be connected to the boundary conditions in momentum space imposed by the regularization. The role of the gravitational anomaly will be explained. That it contributes to transport in an unexpectedly low order in the derivative expansion can be easiest understood via holography. Anomalous transport is supposed to play also a key role in understanding the electronics of advanced materials, the Dirac- and Weyl (semi)metals. Anomaly related phenomena such as negative magnetoresistivity, anomalous Hall effect, thermal anomalous Hall effect and Fermi arcs can be understood via anomalous transport. Finally I briefly review a holographic model of Weyl semimetal which allows to infer a new phenomenon related to the gravitational anomaly: the presence of odd viscosity.
| 11.349972
| 12.169813
| 12.05887
| 9.900931
| 11.494796
| 11.116291
| 11.275734
| 10.705277
| 10.68868
| 12.476172
| 10.361074
| 10.221826
| 10.862519
| 10.592084
| 10.835294
| 10.376925
| 10.622857
| 10.2714
| 10.153604
| 10.838264
| 10.287414
|
hep-th/0003247
|
Sreedhar Vinnakota
|
L. O'Raifeartaigh, J. M. Pawlowski, and V. V. Sreedhar
|
The Two-exponential Liouville Theory and the Uniqueness of the
Three-point Function
|
Plain TeX File; 15 Pages
|
Phys.Lett. B481 (2000) 436-444
|
10.1016/S0370-2693(00)00448-2
|
DIAS-STP-00-04
|
hep-th
| null |
It is shown that in the two-exponential version of Liouville theory the
coefficients of the three-point functions of vertex operators can be determined
uniquely using the translational invariance of the path integral measure and
the self-consistency of the two-point functions. The result agrees with that
obtained using conformal bootstrap methods. Reflection symmetry and a
previously conjectured relationship between the dimensional parameters of the
theory and the overall scale are derived.
|
[
{
"created": "Mon, 27 Mar 2000 16:47:21 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"O'Raifeartaigh",
"L.",
""
],
[
"Pawlowski",
"J. M.",
""
],
[
"Sreedhar",
"V. V.",
""
]
] |
It is shown that in the two-exponential version of Liouville theory the coefficients of the three-point functions of vertex operators can be determined uniquely using the translational invariance of the path integral measure and the self-consistency of the two-point functions. The result agrees with that obtained using conformal bootstrap methods. Reflection symmetry and a previously conjectured relationship between the dimensional parameters of the theory and the overall scale are derived.
| 11.629025
| 10.860898
| 11.568384
| 10.440805
| 9.649489
| 10.040879
| 10.385555
| 10.785403
| 9.320676
| 11.454355
| 9.857551
| 9.723331
| 10.368876
| 9.736588
| 9.722557
| 9.469079
| 9.730274
| 9.926082
| 9.90681
| 10.881056
| 9.41538
|
1709.06846
|
Behnam Pourhassan
|
B. Pourhassan, M. Karimi, S. Mojarrad
|
Langevin Diffusion Coefficients Ratio in STU Model with Higher
Derivative Corrections
|
Accepted for publication in Acta Phys. Pol. B
|
Acta Phys. Pol. B 48 (2017) 1507
|
10.5506/APhysPolB.48.1507
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this letter, we study Langevin diffusion coefficients for the five
dimensional $\mathcal{N}=2$ STU model in presence of higher derivative
corrections. We obtained effect of black hole charge, corresponding to the
chemical potential, on the Langevin diffusion coefficients ratio. We confirm
universal behavior of transverse to longitudinal ratio of coefficients.
|
[
{
"created": "Tue, 12 Sep 2017 03:51:10 GMT",
"version": "v1"
}
] |
2017-10-25
|
[
[
"Pourhassan",
"B.",
""
],
[
"Karimi",
"M.",
""
],
[
"Mojarrad",
"S.",
""
]
] |
In this letter, we study Langevin diffusion coefficients for the five dimensional $\mathcal{N}=2$ STU model in presence of higher derivative corrections. We obtained effect of black hole charge, corresponding to the chemical potential, on the Langevin diffusion coefficients ratio. We confirm universal behavior of transverse to longitudinal ratio of coefficients.
| 17.533758
| 12.95436
| 13.627511
| 12.065702
| 12.402858
| 11.403422
| 11.503516
| 12.499265
| 12.140486
| 17.186649
| 12.866241
| 12.394617
| 13.940421
| 12.785945
| 12.339509
| 12.558544
| 12.460887
| 12.665133
| 12.995041
| 14.378764
| 13.118974
|
1904.04282
|
Jerome P. Gauntlett
|
Jerome P. Gauntlett, Dario Martelli and James Sparks
|
Toric geometry and the dual of ${\cal I}$-extremization
|
78 pages, 7 figures. Very minor changes, typos corrected, published
version
| null | null |
Imperial/TP/2019/JG/01
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider $d=3$, $\mathcal{N}=2$ gauge theories arising on membranes
sitting at the apex of an arbitrary toric Calabi-Yau 4-fold cone singularity
that are then further compactified on a Riemann surface, $\Sigma_g$, with a
topological twist that preserves two supersymmetries. If the theories flow to a
superconformal quantum mechanics in the infrared, then they have a $D=11$
supergravity dual of the form AdS$_2\times Y_9$, with electric four-form flux
and where $Y_9$ is topologically a fibration of a Sasakian $Y_7$ over
$\Sigma_g$. These $D=11$ solutions are also expected to arise as the near
horizon limit of magnetically charged black holes in AdS$_4\times Y_7$, with a
Sasaki-Einstein metric on $Y_7$. We show that an off-shell entropy function for
the dual AdS$_2$ solutions may be computed using the toric data and K\"ahler
class parameters of the Calabi-Yau 4-fold, that are encoded in a master volume,
as well as a set of integers that determine the fibration of $Y_7$ over
$\Sigma_g$ and a K\"ahler class parameter for $\Sigma_g$. We also discuss the
class of supersymmetric AdS$_3\times Y_7$ solutions of type IIB supergravity
with five-form flux only in the case that $Y_7$ is toric, and show how the
off-shell central charge of the dual field theory can be obtained from the
toric data. We illustrate with several examples, finding agreement both with
explicit supergravity solutions as well as with some known field theory results
concerning ${\cal I}$-extremization.
|
[
{
"created": "Mon, 8 Apr 2019 18:19:52 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Jun 2019 17:06:36 GMT",
"version": "v2"
}
] |
2019-06-28
|
[
[
"Gauntlett",
"Jerome P.",
""
],
[
"Martelli",
"Dario",
""
],
[
"Sparks",
"James",
""
]
] |
We consider $d=3$, $\mathcal{N}=2$ gauge theories arising on membranes sitting at the apex of an arbitrary toric Calabi-Yau 4-fold cone singularity that are then further compactified on a Riemann surface, $\Sigma_g$, with a topological twist that preserves two supersymmetries. If the theories flow to a superconformal quantum mechanics in the infrared, then they have a $D=11$ supergravity dual of the form AdS$_2\times Y_9$, with electric four-form flux and where $Y_9$ is topologically a fibration of a Sasakian $Y_7$ over $\Sigma_g$. These $D=11$ solutions are also expected to arise as the near horizon limit of magnetically charged black holes in AdS$_4\times Y_7$, with a Sasaki-Einstein metric on $Y_7$. We show that an off-shell entropy function for the dual AdS$_2$ solutions may be computed using the toric data and K\"ahler class parameters of the Calabi-Yau 4-fold, that are encoded in a master volume, as well as a set of integers that determine the fibration of $Y_7$ over $\Sigma_g$ and a K\"ahler class parameter for $\Sigma_g$. We also discuss the class of supersymmetric AdS$_3\times Y_7$ solutions of type IIB supergravity with five-form flux only in the case that $Y_7$ is toric, and show how the off-shell central charge of the dual field theory can be obtained from the toric data. We illustrate with several examples, finding agreement both with explicit supergravity solutions as well as with some known field theory results concerning ${\cal I}$-extremization.
| 5.183067
| 5.022723
| 6.315428
| 5.156192
| 4.914235
| 5.051616
| 4.894306
| 5.08147
| 4.962392
| 6.665762
| 5.071949
| 5.059202
| 5.662184
| 5.07929
| 5.07784
| 5.031545
| 5.148361
| 5.06719
| 5.081644
| 5.676532
| 5.055602
|
hep-th/9511180
|
Ulf Danielsson
|
Ulf H. Danielsson, Bo Sundborg
|
Exceptional Equivalences in N=2 Supersymmetric Yang-Mills Theory
|
16 pages, Latex, 7 figures
|
Phys.Lett.B370:83-94,1996
|
10.1016/0370-2693(95)01566-3
|
USITP-95-12, UUITP-20/95
|
hep-th
| null |
We find low energy equivalences between $N=2$ supersymmetric gauge theories
with different simple gauge groups with and without matter. We give a
construction of equivalences based on subgroups and find all examples with
maximal simple subgroups. This is used to solve some theories with exceptional
gauge groups $G_2$ and $F_4$. We are also able to solve an $E_6$ theory on a
codimension one submanifold of its moduli space.
|
[
{
"created": "Sat, 25 Nov 1995 11:07:59 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Danielsson",
"Ulf H.",
""
],
[
"Sundborg",
"Bo",
""
]
] |
We find low energy equivalences between $N=2$ supersymmetric gauge theories with different simple gauge groups with and without matter. We give a construction of equivalences based on subgroups and find all examples with maximal simple subgroups. This is used to solve some theories with exceptional gauge groups $G_2$ and $F_4$. We are also able to solve an $E_6$ theory on a codimension one submanifold of its moduli space.
| 10.27288
| 9.570536
| 9.277417
| 8.871588
| 8.174151
| 9.020208
| 8.62307
| 8.24072
| 8.405422
| 9.871482
| 8.427628
| 8.788278
| 9.482041
| 8.817589
| 8.913107
| 8.827695
| 9.195068
| 8.923863
| 9.100981
| 9.76168
| 9.172356
|
1807.02522
|
Marco Meineri
|
Edoardo Lauria, Marco Meineri, Emilio Trevisani
|
Spinning operators and defects in conformal field theory
|
44+24 pages
| null |
10.1007/JHEP08(2019)066
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the kinematics of correlation functions of local and extended
operators in a conformal field theory. We present a new method for constructing
the tensor structures associated to primary operators in an arbitrary bosonic
representation of the Lorentz group. The recipe yields the explicit structures
in embedding space, and can be applied to any correlator of local operators,
with or without a defect. We then focus on the two-point function of traceless
symmetric primaries in the presence of a conformal defect, and explain how to
compute the conformal blocks. In particular, we illustrate various techniques
to generate the bulk channel blocks either from a radial expansion or by acting
with differential operators on simpler seed blocks. For the defect channel, we
detail a method to compute the blocks in closed form, in terms of projectors
into mixed symmetry representations of the orthogonal group.
|
[
{
"created": "Fri, 6 Jul 2018 18:00:02 GMT",
"version": "v1"
}
] |
2019-09-04
|
[
[
"Lauria",
"Edoardo",
""
],
[
"Meineri",
"Marco",
""
],
[
"Trevisani",
"Emilio",
""
]
] |
We study the kinematics of correlation functions of local and extended operators in a conformal field theory. We present a new method for constructing the tensor structures associated to primary operators in an arbitrary bosonic representation of the Lorentz group. The recipe yields the explicit structures in embedding space, and can be applied to any correlator of local operators, with or without a defect. We then focus on the two-point function of traceless symmetric primaries in the presence of a conformal defect, and explain how to compute the conformal blocks. In particular, we illustrate various techniques to generate the bulk channel blocks either from a radial expansion or by acting with differential operators on simpler seed blocks. For the defect channel, we detail a method to compute the blocks in closed form, in terms of projectors into mixed symmetry representations of the orthogonal group.
| 9.366492
| 9.312463
| 11.06883
| 8.767366
| 9.718939
| 8.851187
| 9.309498
| 8.794264
| 9.195035
| 11.479964
| 9.15913
| 9.145082
| 10.101706
| 9.257541
| 8.938808
| 9.224206
| 9.313533
| 8.868573
| 9.308519
| 10.013086
| 9.061563
|
1406.6987
|
Zvi Bern
|
Zvi Bern, Scott Davies, Paolo Di Vecchia, Josh Nohle
|
Low-Energy Behavior of Gluons and Gravitons from Gauge Invariance
|
RevTeX, 5 figures, 28 pages; v3 minor corrections and clarifications
|
Phys. Rev. D 90, 084035 (2014)
|
10.1103/PhysRevD.90.084035
|
UCLA/14/TEP/104, NORDITA-2014-78
|
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that at tree level, on-shell gauge invariance can be used to fully
determine the first subleading soft-gluon behavior and the first two subleading
soft-graviton behaviors. Our proofs of the behaviors for n-gluon and n-graviton
tree amplitudes are valid in D dimensions and are similar to Low's proof of
universality of the first subleading behavior of photons. In contrast to
photons coupling to massive particles, in four dimensions the soft behaviors of
gluons and gravitons are corrected by loop effects. We comment on how such
corrections arise from this perspective. We also show that loop corrections in
graviton amplitudes arising from scalar loops appear only at the second soft
subleading order. This case is particularly transparent because it is not
entangled with graviton infrared singularities. Our result suggests that if we
set aside the issue of infrared singularities, soft-graviton Ward identities of
extended BMS symmetry are not anomalous through the first subleading order.
|
[
{
"created": "Thu, 26 Jun 2014 19:15:13 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Jul 2014 19:51:10 GMT",
"version": "v2"
},
{
"created": "Mon, 10 Nov 2014 20:17:27 GMT",
"version": "v3"
}
] |
2014-11-11
|
[
[
"Bern",
"Zvi",
""
],
[
"Davies",
"Scott",
""
],
[
"Di Vecchia",
"Paolo",
""
],
[
"Nohle",
"Josh",
""
]
] |
We show that at tree level, on-shell gauge invariance can be used to fully determine the first subleading soft-gluon behavior and the first two subleading soft-graviton behaviors. Our proofs of the behaviors for n-gluon and n-graviton tree amplitudes are valid in D dimensions and are similar to Low's proof of universality of the first subleading behavior of photons. In contrast to photons coupling to massive particles, in four dimensions the soft behaviors of gluons and gravitons are corrected by loop effects. We comment on how such corrections arise from this perspective. We also show that loop corrections in graviton amplitudes arising from scalar loops appear only at the second soft subleading order. This case is particularly transparent because it is not entangled with graviton infrared singularities. Our result suggests that if we set aside the issue of infrared singularities, soft-graviton Ward identities of extended BMS symmetry are not anomalous through the first subleading order.
| 9.578923
| 9.704807
| 11.985852
| 9.799861
| 9.899862
| 9.500379
| 9.659259
| 9.430589
| 9.553365
| 10.715397
| 9.207438
| 8.920024
| 10.105021
| 9.517499
| 8.937934
| 9.434724
| 9.123129
| 9.175827
| 9.841784
| 10.507616
| 9.012992
|
hep-th/0106235
|
Anne Taormina
|
Francois Englert, Laurent Houart and Anne Taormina
|
Brane fusion in the bosonic string and the emergence of fermionic
strings
|
44 pages, Latex 2e
|
JHEP 0108:013,2001
|
10.1088/1126-6708/2001/08/013
| null |
hep-th
| null |
We review the emergence of the ten-dimensional fermionic closed string
theories from subspaces of the Hilbert space of the 26-dimensional bosonic
closed string theory compactified on an $E_8\times SO(16)$ lattice. They arise
from a consistent truncation procedure which generates space-time fermions out
of bosons. This procedure is extended to open string sectors. We prove that
truncation of the unique tadpole-free $SO(2^{13})$ bosonic string theory
compactified on the above lattice determines the anomaly free Chan-Paton group
of the Type I theory and the consistent Chan-Paton groups of Type O theories.
It also predicts the tension of space-filling D-branes in these fermionic
theories. The derivation of these fermionic string properties from bosonic
considerations alone points towards a dynamical origin of the truncation
process. Space-time fermions and supersymmetries would then arise from bosonic
degrees of freedom and no fermionic degrees of freedom would be needed in a
fundamental theory of quantum gravity.
|
[
{
"created": "Mon, 25 Jun 2001 21:43:31 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Englert",
"Francois",
""
],
[
"Houart",
"Laurent",
""
],
[
"Taormina",
"Anne",
""
]
] |
We review the emergence of the ten-dimensional fermionic closed string theories from subspaces of the Hilbert space of the 26-dimensional bosonic closed string theory compactified on an $E_8\times SO(16)$ lattice. They arise from a consistent truncation procedure which generates space-time fermions out of bosons. This procedure is extended to open string sectors. We prove that truncation of the unique tadpole-free $SO(2^{13})$ bosonic string theory compactified on the above lattice determines the anomaly free Chan-Paton group of the Type I theory and the consistent Chan-Paton groups of Type O theories. It also predicts the tension of space-filling D-branes in these fermionic theories. The derivation of these fermionic string properties from bosonic considerations alone points towards a dynamical origin of the truncation process. Space-time fermions and supersymmetries would then arise from bosonic degrees of freedom and no fermionic degrees of freedom would be needed in a fundamental theory of quantum gravity.
| 9.598343
| 7.75641
| 10.785995
| 8.828585
| 7.342793
| 7.331012
| 7.734721
| 8.41378
| 8.418422
| 11.957532
| 8.348263
| 9.057982
| 9.525102
| 9.066259
| 8.584882
| 8.890443
| 8.753529
| 8.611051
| 9.144186
| 9.939179
| 8.787369
|
hep-th/0603022
|
Lee Smolin
|
Sundance O. Bilson-Thompson, Fotini Markopoulou, Lee Smolin
|
Quantum gravity and the standard model
|
12 pages, 21 figures, improved presentation, results unchanged
|
Class.Quant.Grav.24:3975-3994,2007
|
10.1088/0264-9381/24/16/002
| null |
hep-th
| null |
We show that a class of background independent models of quantum spacetime
have local excitations that can be mapped to the first generation fermions of
the standard model of particle physics. These states propagate coherently as
they can be shown to be noiseless subsystems of the microscopic quantum
dynamics. These are identified in terms of certain patterns of braiding of
graphs, thus giving a quantum gravitational foundation for the topological
preon model proposed by one of us.
These results apply to a large class of theories in which the Hilbert space
has a basis of states given by ribbon graphs embedded in a three-dimensional
manifold up to diffeomorphisms, and the dynamics is given by local moves on the
graphs, such as arise in the representation theory of quantum groups. For such
models, matter appears to be already included in the microscopic kinematics and
dynamics.
|
[
{
"created": "Fri, 3 Mar 2006 19:36:31 GMT",
"version": "v1"
},
{
"created": "Sat, 21 Apr 2007 14:23:13 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Bilson-Thompson",
"Sundance O.",
""
],
[
"Markopoulou",
"Fotini",
""
],
[
"Smolin",
"Lee",
""
]
] |
We show that a class of background independent models of quantum spacetime have local excitations that can be mapped to the first generation fermions of the standard model of particle physics. These states propagate coherently as they can be shown to be noiseless subsystems of the microscopic quantum dynamics. These are identified in terms of certain patterns of braiding of graphs, thus giving a quantum gravitational foundation for the topological preon model proposed by one of us. These results apply to a large class of theories in which the Hilbert space has a basis of states given by ribbon graphs embedded in a three-dimensional manifold up to diffeomorphisms, and the dynamics is given by local moves on the graphs, such as arise in the representation theory of quantum groups. For such models, matter appears to be already included in the microscopic kinematics and dynamics.
| 10.779246
| 11.480821
| 11.09967
| 10.417313
| 11.025207
| 11.889789
| 11.521971
| 10.305025
| 9.985012
| 11.541537
| 10.503777
| 10.505828
| 10.702705
| 10.348486
| 10.347398
| 10.639564
| 10.633477
| 10.574155
| 10.802406
| 10.672187
| 10.418125
|
1602.03673
|
Giorgos Manolakos
|
G. Manolakos, G. Zoupanos
|
Higher-Dimensional Unified Theories with continuous and fuzzy coset
spaces as extra dimensions
|
arXiv admin note: substantial text overlap with arXiv:1504.07276
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We first briefly review the Coset Space Dimensional Reduction (CSDR)
programme and present the results of the best model so far, based on the
$\mathcal{N} = 1$, $d = 10$, $E_8$ gauge theory reduced over the
nearly-K\"ahler manifold $SU(3)/U(1)\times U(1)$. Then, we present the
adjustment of the CSDR programme in the case that the extra dimensions are
considered to be fuzzy coset spaces and then, the best model constructed in
this framework, too, which is the trinification GUT, $SU(3)^3$.
|
[
{
"created": "Thu, 11 Feb 2016 10:56:15 GMT",
"version": "v1"
}
] |
2016-02-12
|
[
[
"Manolakos",
"G.",
""
],
[
"Zoupanos",
"G.",
""
]
] |
We first briefly review the Coset Space Dimensional Reduction (CSDR) programme and present the results of the best model so far, based on the $\mathcal{N} = 1$, $d = 10$, $E_8$ gauge theory reduced over the nearly-K\"ahler manifold $SU(3)/U(1)\times U(1)$. Then, we present the adjustment of the CSDR programme in the case that the extra dimensions are considered to be fuzzy coset spaces and then, the best model constructed in this framework, too, which is the trinification GUT, $SU(3)^3$.
| 7.785766
| 5.495382
| 6.422794
| 5.883885
| 5.627323
| 6.120061
| 5.933988
| 5.553307
| 5.565362
| 6.728795
| 6.241484
| 6.65512
| 6.773272
| 6.643182
| 6.575736
| 6.791939
| 6.525924
| 6.751346
| 6.436032
| 7.023697
| 6.883647
|
hep-th/9305101
|
Boguslaw Broda
|
Boguslaw Broda (U. Clausthal and U. Lodz)
|
A note on the four-dimensional Kirby calculus
|
5 pages
| null | null | null |
hep-th math.QA
| null |
An explicit derivation of the elements of the representation ring of SU(2)
needed to implement the four-dimensional Kirby calculus is sketched.
|
[
{
"created": "Fri, 21 May 1993 10:57:00 GMT",
"version": "v1"
}
] |
2008-02-03
|
[
[
"Broda",
"Boguslaw",
"",
"U. Clausthal and U. Lodz"
]
] |
An explicit derivation of the elements of the representation ring of SU(2) needed to implement the four-dimensional Kirby calculus is sketched.
| 27.778437
| 20.597012
| 29.933451
| 20.59409
| 17.914179
| 23.182823
| 21.472263
| 21.494221
| 24.329763
| 36.740643
| 20.862993
| 20.006897
| 28.022068
| 23.304003
| 20.488493
| 22.699396
| 21.493078
| 21.060944
| 23.67544
| 30.357809
| 22.575434
|
hep-th/0501103
|
Theodore A. Jacobson
|
Ted Jacobson, Donald Marolf, and Carlo Rovelli
|
Black hole entropy: inside or out?
|
42 pages, contribution to proceedings of Peyresq 9
|
Int.J.Theor.Phys. 44 (2005) 1807-1837
|
10.1007/s10773-005-8896-z
| null |
hep-th gr-qc
| null |
A trialogue. Ted, Don, and Carlo consider the nature of black hole entropy.
Ted and Carlo support the idea that this entropy measures in some sense ``the
number of black hole microstates that can communicate with the outside world.''
Don is critical of this approach, and discussion ensues, focusing on the
question of whether the first law of black hole thermodynamics can be
understood from a statistical mechanics point of view.
|
[
{
"created": "Fri, 14 Jan 2005 04:56:17 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Jacobson",
"Ted",
""
],
[
"Marolf",
"Donald",
""
],
[
"Rovelli",
"Carlo",
""
]
] |
A trialogue. Ted, Don, and Carlo consider the nature of black hole entropy. Ted and Carlo support the idea that this entropy measures in some sense ``the number of black hole microstates that can communicate with the outside world.'' Don is critical of this approach, and discussion ensues, focusing on the question of whether the first law of black hole thermodynamics can be understood from a statistical mechanics point of view.
| 12.466408
| 14.1104
| 10.691815
| 11.77821
| 11.214101
| 13.073074
| 12.837497
| 11.821384
| 11.720012
| 12.340745
| 11.151041
| 11.30614
| 11.203638
| 10.382437
| 11.42036
| 11.586287
| 11.171741
| 10.805327
| 11.634935
| 11.091078
| 10.338202
|
0709.1554
|
Clifford V. Johnson
|
Tameem Albash, Veselin Filev, Clifford V. Johnson, Arnab Kundu
|
Quarks in an External Electric Field in Finite Temperature Large N Gauge
Theory
|
20 pages, multiple figures. Corrected typos
|
JHEP 0808:092,2008
|
10.1088/1126-6708/2008/08/092
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use a ten dimensional dual string background to aspects of the physics
large N four dimensional SU(N) gauge theory, where its fundamental quarks are
charged under a background electric field. The theory is N=2 supersymmetric for
vanishing temperature and electric field. At zero temperature, we observe that
the electric field induces a phase transition associated with the dissociation
of the mesons into their constituent quarks. This is an analogue of an
insulator-metal transition, since the system goes from being an insulator with
zero current (in the applied field) to a conductor with free charge carriers
(the quarks). At finite temperature this phenomenon persists, with the
dissociation transition become subsumed into the more familiar meson melting
transition. Here, the dissociation phenomenon reduces the critical melting
temperature.
|
[
{
"created": "Tue, 11 Sep 2007 09:44:18 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Sep 2008 00:24:28 GMT",
"version": "v2"
},
{
"created": "Sun, 21 Sep 2008 17:49:54 GMT",
"version": "v3"
}
] |
2009-06-11
|
[
[
"Albash",
"Tameem",
""
],
[
"Filev",
"Veselin",
""
],
[
"Johnson",
"Clifford V.",
""
],
[
"Kundu",
"Arnab",
""
]
] |
We use a ten dimensional dual string background to aspects of the physics large N four dimensional SU(N) gauge theory, where its fundamental quarks are charged under a background electric field. The theory is N=2 supersymmetric for vanishing temperature and electric field. At zero temperature, we observe that the electric field induces a phase transition associated with the dissociation of the mesons into their constituent quarks. This is an analogue of an insulator-metal transition, since the system goes from being an insulator with zero current (in the applied field) to a conductor with free charge carriers (the quarks). At finite temperature this phenomenon persists, with the dissociation transition become subsumed into the more familiar meson melting transition. Here, the dissociation phenomenon reduces the critical melting temperature.
| 12.112435
| 11.593596
| 13.612473
| 11.13813
| 10.959728
| 11.490356
| 11.456059
| 11.155752
| 10.723361
| 13.608112
| 10.974997
| 10.9539
| 12.183008
| 11.099607
| 11.115379
| 11.316482
| 11.39653
| 10.864192
| 11.124556
| 12.319878
| 10.815956
|
hep-th/0001114
|
Noureddine Mohammedi
|
N. Mohammedi (U. of Tours)
|
On the classical connection between the WZWN model and topological gauge
theories with boundaries
|
16 pages, LaTeX
|
Phys.Rev. D62 (2000) 026005
|
10.1103/PhysRevD.62.026005
| null |
hep-th
| null |
It is shown, at the level of the classical action, that the
Wess-Zumino-Witten-Novikov model is equivalent to a combined BF theory and a
Chern-Simons action in the presence of a unique boundary term. This connection
relies on the techniques of non-Abelian T-duality in non-linear sigma models.
We derive some consistency conditions whose various solutions lead to different
dual theories. Particular attention is paid to the cases of the Lie algebras
SO(2,1) and SO(2,1)*SO(2,1). These are shown to yield three dimensional gravity
only if the BF term is ignored.
|
[
{
"created": "Wed, 19 Jan 2000 10:48:42 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Mohammedi",
"N.",
"",
"U. of Tours"
]
] |
It is shown, at the level of the classical action, that the Wess-Zumino-Witten-Novikov model is equivalent to a combined BF theory and a Chern-Simons action in the presence of a unique boundary term. This connection relies on the techniques of non-Abelian T-duality in non-linear sigma models. We derive some consistency conditions whose various solutions lead to different dual theories. Particular attention is paid to the cases of the Lie algebras SO(2,1) and SO(2,1)*SO(2,1). These are shown to yield three dimensional gravity only if the BF term is ignored.
| 8.585312
| 7.969689
| 8.993177
| 7.729837
| 7.62533
| 7.923062
| 8.016229
| 7.952189
| 8.136873
| 8.654582
| 8.035125
| 7.965181
| 8.04337
| 7.91728
| 7.772436
| 7.699975
| 7.959298
| 7.949927
| 7.687508
| 8.222194
| 7.781412
|
hep-th/9601006
| null |
Giampiero Esposito, Alexander Yu. Kamenshchik, Giuseppe Pollifrone
|
One-Loop Effective Action on the Four-Ball
|
25 pages, plain Tex
|
Class.Quant.Grav. 13 (1996) 943-956
|
10.1088/0264-9381/13/5/013
|
DSF preprint 96/1
|
hep-th
| null |
This paper applies $\zeta$-function regularization to evaluate the 1-loop
effective action for scalar field theories and Euclidean Maxwell theory in the
presence of boundaries. After a comparison of two techniques developed in the
recent literature, vacuum Maxwell theory is studied and the contribution of all
perturbative modes to $\zeta'(0)$ is derived: transverse, longitudinal and
normal modes of the electromagnetic potential, jointly with ghost modes. The
analysis is performed on imposing magnetic boundary conditions, when the
Faddeev-Popov Euclidean action contains the particular gauge-averaging term
which leads to a complete decoupling of all perturbative modes. It is shown
that there is no cancellation of the contributions to $\zeta'(0)$ resulting
from longitudinal, normal and ghost modes.
|
[
{
"created": "Wed, 3 Jan 1996 16:27:54 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Esposito",
"Giampiero",
""
],
[
"Kamenshchik",
"Alexander Yu.",
""
],
[
"Pollifrone",
"Giuseppe",
""
]
] |
This paper applies $\zeta$-function regularization to evaluate the 1-loop effective action for scalar field theories and Euclidean Maxwell theory in the presence of boundaries. After a comparison of two techniques developed in the recent literature, vacuum Maxwell theory is studied and the contribution of all perturbative modes to $\zeta'(0)$ is derived: transverse, longitudinal and normal modes of the electromagnetic potential, jointly with ghost modes. The analysis is performed on imposing magnetic boundary conditions, when the Faddeev-Popov Euclidean action contains the particular gauge-averaging term which leads to a complete decoupling of all perturbative modes. It is shown that there is no cancellation of the contributions to $\zeta'(0)$ resulting from longitudinal, normal and ghost modes.
| 11.278109
| 11.305069
| 10.554315
| 10.13233
| 11.102712
| 10.779427
| 11.859837
| 9.404905
| 10.138392
| 11.57623
| 10.465521
| 10.480978
| 10.617761
| 10.500842
| 10.244198
| 10.618185
| 10.078958
| 10.381612
| 10.351166
| 10.482467
| 10.539589
|
hep-th/0103003
|
Takehiro Azuma
|
Takehiro Azuma
|
Investigation of Matrix Theory via Super Lie Algebra
|
87 pages, 18 figures. This paper is based on the collaboration with
S. Iso, H. Kawai and Y. Ohwashi, and is submitted to Kyoto Univ. as a
master's dissertation. (v7) Some typos corrected
| null | null |
KUNS-1709
|
hep-th
| null |
This paper reports the investigation of a matrix model via super Lie algebra,
following the proposal of L. Smolin. We consider the osp(1|32,R) nongauged
matrix model and gl(1|32,R) gauged matrix model, especially paying attention to
the supersymmetry and the relationship with IKKT model. This paper is based on
the collaboration with the collaboration with S.Iso, H.Kawai and Y.Ohwashi.
|
[
{
"created": "Thu, 1 Mar 2001 14:54:54 GMT",
"version": "v1"
},
{
"created": "Mon, 7 May 2001 14:55:48 GMT",
"version": "v2"
},
{
"created": "Wed, 6 Jun 2001 15:06:03 GMT",
"version": "v3"
},
{
"created": "Mon, 5 Nov 2001 14:25:48 GMT",
"version": "v4"
},
{
"created": "Tue, 6 Nov 2001 12:18:55 GMT",
"version": "v5"
},
{
"created": "Sat, 31 Aug 2002 07:57:26 GMT",
"version": "v6"
},
{
"created": "Tue, 21 Oct 2003 04:10:14 GMT",
"version": "v7"
}
] |
2009-09-25
|
[
[
"Azuma",
"Takehiro",
""
]
] |
This paper reports the investigation of a matrix model via super Lie algebra, following the proposal of L. Smolin. We consider the osp(1|32,R) nongauged matrix model and gl(1|32,R) gauged matrix model, especially paying attention to the supersymmetry and the relationship with IKKT model. This paper is based on the collaboration with the collaboration with S.Iso, H.Kawai and Y.Ohwashi.
| 13.367506
| 12.953146
| 16.37991
| 13.567135
| 15.548718
| 14.901754
| 15.98188
| 13.888433
| 13.163288
| 19.707476
| 12.708668
| 12.595109
| 15.09581
| 12.820732
| 12.950305
| 12.853915
| 12.721318
| 12.356946
| 12.933331
| 15.294683
| 12.974098
|
1712.07083
|
Christoph Mayrhofer
|
Anamar\'ia Font, I\~naki Garc\'ia-Etxebarria, Dieter Lust, Stefano
Massai, Christoph Mayrhofer
|
Non-geometric heterotic backgrounds and 6D SCFTs/LSTs
|
Slightly extended version of the proceedings prepared for the
'Workshop on Geometry and Physics,' November 2016, Ringberg Castle, Germany;
16 pages
|
PoS CORFU2016 (2017) 123
| null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study ${\mathcal N}=(1,0)$ six-dimensional theories living on defects of
non-geometric backgrounds of the $E_8\times E_8$ and the
$\text{Spin}(32)/{\mathbb Z}_2$ heterotic strings. Such configurations can be
analyzed by dualizing to F-theory on elliptic K3-fibered non-compact Calabi-Yau
threefolds. The majority of the resulting dual threefolds turn out to contain
singularities which do not admit a crepant resolution. When the singularities
can be resolved crepantly, the theories living on the defect are explicitly
determined and reveal a form of duality in which distinct defects are described
by the same IR fixed point. In particular, a subclass of non-geometric defects
corresponds to SCFTs/LSTs arising from small heterotic instantons on ADE
singularities.
|
[
{
"created": "Tue, 19 Dec 2017 18:07:52 GMT",
"version": "v1"
}
] |
2017-12-20
|
[
[
"Font",
"Anamaría",
""
],
[
"García-Etxebarria",
"Iñaki",
""
],
[
"Lust",
"Dieter",
""
],
[
"Massai",
"Stefano",
""
],
[
"Mayrhofer",
"Christoph",
""
]
] |
We study ${\mathcal N}=(1,0)$ six-dimensional theories living on defects of non-geometric backgrounds of the $E_8\times E_8$ and the $\text{Spin}(32)/{\mathbb Z}_2$ heterotic strings. Such configurations can be analyzed by dualizing to F-theory on elliptic K3-fibered non-compact Calabi-Yau threefolds. The majority of the resulting dual threefolds turn out to contain singularities which do not admit a crepant resolution. When the singularities can be resolved crepantly, the theories living on the defect are explicitly determined and reveal a form of duality in which distinct defects are described by the same IR fixed point. In particular, a subclass of non-geometric defects corresponds to SCFTs/LSTs arising from small heterotic instantons on ADE singularities.
| 6.674727
| 5.30127
| 8.604028
| 5.688841
| 5.610537
| 5.433029
| 5.16259
| 5.532732
| 5.566359
| 9.850435
| 5.636038
| 6.174621
| 6.864705
| 6.218978
| 6.089207
| 6.269132
| 6.023811
| 6.15629
| 6.27803
| 7.248381
| 6.151025
|
hep-th/9305053
|
Kanehisa Takasaki
|
Kanehisa Takasaki
|
Integrable hierarchy underlying topological Landau-Ginzburg models of
D-type
|
14 pages, Kyoto University KUCP-0061/93
| null |
10.1007/BF00749727
| null |
hep-th
| null |
A universal integrable hierarchy underlying topological Landau-Ginzburg
models of D-tye is presented. Like the dispersionless Toda hierarchy, the new
hierarchy has two distinct (``positive" and ``negative") set of flows. Special
solutions corresponding to topological Landau-Ginzburg models of D-type are
characterized by a Riemann-Hilbert problem, which can be converted into a
generalized hodograph transformation. This construction gives an embedding of
the finite dimensional small phase space of these models into the full space of
flows of this hierarchy. One of flat coordinates in the small phase space turns
out to be identical to the first ``negative" time variable of the hierarchy,
whereas the others belong to the ``positive" flows.
|
[
{
"created": "Thu, 13 May 1993 06:33:35 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Takasaki",
"Kanehisa",
""
]
] |
A universal integrable hierarchy underlying topological Landau-Ginzburg models of D-tye is presented. Like the dispersionless Toda hierarchy, the new hierarchy has two distinct (``positive" and ``negative") set of flows. Special solutions corresponding to topological Landau-Ginzburg models of D-type are characterized by a Riemann-Hilbert problem, which can be converted into a generalized hodograph transformation. This construction gives an embedding of the finite dimensional small phase space of these models into the full space of flows of this hierarchy. One of flat coordinates in the small phase space turns out to be identical to the first ``negative" time variable of the hierarchy, whereas the others belong to the ``positive" flows.
| 9.587169
| 9.290328
| 12.818027
| 8.553244
| 9.593978
| 9.443229
| 9.78344
| 9.229635
| 8.962742
| 11.708907
| 9.040026
| 9.032195
| 10.133615
| 9.172489
| 8.867398
| 9.037071
| 8.988515
| 8.946304
| 9.006145
| 10.515363
| 9.104585
|
2005.01812
|
Dmitri Bykov
|
Dmitri Bykov and Dieter Lust
|
Deformed $\sigma$-models, Ricci flow and Toda field theories
|
40 pages
|
Lett. Math. Phys. 111:150 (2021)
|
10.1007/s11005-021-01484-0
|
MPP-2020-59, LMU-ASC 16/20
|
hep-th math.DG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is shown that the Pohlmeyer map of a $\sigma$-model with a toric
two-dimensional target space naturally leads to the `sausage' metric. We then
elaborate the trigonometric deformation of the $\mathrm{CP}^{n-1}$-model,
proving that its $T$-dual metric is K\"ahler and solves the Ricci flow
equation. Finally, we discuss a relation between flag manifold $\sigma$-models
and Toda field theories.
|
[
{
"created": "Mon, 4 May 2020 19:41:17 GMT",
"version": "v1"
}
] |
2022-01-19
|
[
[
"Bykov",
"Dmitri",
""
],
[
"Lust",
"Dieter",
""
]
] |
It is shown that the Pohlmeyer map of a $\sigma$-model with a toric two-dimensional target space naturally leads to the `sausage' metric. We then elaborate the trigonometric deformation of the $\mathrm{CP}^{n-1}$-model, proving that its $T$-dual metric is K\"ahler and solves the Ricci flow equation. Finally, we discuss a relation between flag manifold $\sigma$-models and Toda field theories.
| 10.90668
| 9.210493
| 11.579361
| 9.697991
| 9.128936
| 10.39256
| 10.424858
| 9.690749
| 9.637505
| 12.40978
| 9.821513
| 10.149441
| 10.627427
| 10.280624
| 10.122107
| 9.824396
| 9.795701
| 9.72699
| 9.99514
| 11.240449
| 9.513581
|
hep-th/0506191
|
Diana Vaman
|
Lilia Anguelova, Diana Vaman
|
R^4 Corrections to Heterotic M-theory
|
37 pages, 6 figures, references added
|
Nucl.Phys. B733 (2006) 132-159
|
10.1016/j.nuclphysb.2005.11.004
|
MCTP-05-82
|
hep-th
| null |
We study R^4 corrections in heterotic M-theory. We derive to order
kappa^{4/3} the induced modification to the Kahler potential of the universal
moduli and its implications for the soft supersymmetry breaking terms. The soft
scalar field masses still remain small for breaking in the T-modulus direction.
We investigate the deformations of the background geometry due to the R^4 term.
The warp-factor deformation of the background M_4 x CY(3) x S^1/Z_2 can no
longer be integrated to a fully non-linear solution, unlike when neglecting
higher derivative corrections. We find explicit solutions to order kappa^{4/3}
and, in particular, find the expected shift of the Calabi-Yau volume by a
constant proportional to the Euler number. We also study the effect induced by
the R^4 terms on the de Sitter vacua found previously by balancing two
non-perturbative contributions to the superpotential, namely open membrane
instantons and gaugino condensation. To order kappa^{4/3} all induced
corrections are proportional to the Euler number of the Calabi-Yau three-fold.
|
[
{
"created": "Wed, 22 Jun 2005 23:30:49 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Aug 2005 13:07:07 GMT",
"version": "v2"
}
] |
2010-04-05
|
[
[
"Anguelova",
"Lilia",
""
],
[
"Vaman",
"Diana",
""
]
] |
We study R^4 corrections in heterotic M-theory. We derive to order kappa^{4/3} the induced modification to the Kahler potential of the universal moduli and its implications for the soft supersymmetry breaking terms. The soft scalar field masses still remain small for breaking in the T-modulus direction. We investigate the deformations of the background geometry due to the R^4 term. The warp-factor deformation of the background M_4 x CY(3) x S^1/Z_2 can no longer be integrated to a fully non-linear solution, unlike when neglecting higher derivative corrections. We find explicit solutions to order kappa^{4/3} and, in particular, find the expected shift of the Calabi-Yau volume by a constant proportional to the Euler number. We also study the effect induced by the R^4 terms on the de Sitter vacua found previously by balancing two non-perturbative contributions to the superpotential, namely open membrane instantons and gaugino condensation. To order kappa^{4/3} all induced corrections are proportional to the Euler number of the Calabi-Yau three-fold.
| 8.752072
| 8.291904
| 9.231332
| 8.112648
| 8.188232
| 7.77496
| 7.925739
| 8.399079
| 7.561726
| 10.723189
| 7.875489
| 8.095561
| 8.071052
| 7.850873
| 8.371624
| 8.29629
| 8.158451
| 8.200157
| 7.832601
| 8.013411
| 7.833308
|
0705.3500
|
Tsutomu Kobayashi
|
Tsutomu Kobayashi, Masato Minamitsuji
|
Brane cosmological solutions in six-dimensional warped flux
compactifications
|
12 pages, 2 figures; v2: references added; v3: version published in
JCAP
|
JCAP 0707:016,2007
|
10.1088/1475-7516/2007/07/016
|
WU-AP/266/07, LMU-ASC 33/07
|
hep-th astro-ph gr-qc
| null |
We study cosmology on a conical brane in the six-dimensional
Einstein-Maxwell-dilaton system, where the extra dimensions are compactified by
a magnetic flux. We systematically construct exact cosmological solutions using
the fact that the system is equivalently described by (6+n)-dimensional pure
Einstein-Maxwell theory via dimensional reduction. In particular, we find a
power-law inflationary solution for a general dilatonic coupling. When the
dilatonic coupling is given by that of Nishino-Sezgin chiral supergravity, this
reduces to the known solution which is not inflating. The power-law solution is
shown to be the late-time attractor. We also investigate cosmological tensor
perturbations in this model using the (6+n)-dimensional description. We obtain
the separable equation of motion and find that there always exist a zero mode,
while tachyonic modes are absent in the spectrum. The mass spectrum of
Kaluza-Klein modes is obtained numerically.
|
[
{
"created": "Thu, 24 May 2007 03:05:34 GMT",
"version": "v1"
},
{
"created": "Thu, 31 May 2007 10:37:52 GMT",
"version": "v2"
},
{
"created": "Fri, 13 Jul 2007 13:07:39 GMT",
"version": "v3"
}
] |
2009-11-13
|
[
[
"Kobayashi",
"Tsutomu",
""
],
[
"Minamitsuji",
"Masato",
""
]
] |
We study cosmology on a conical brane in the six-dimensional Einstein-Maxwell-dilaton system, where the extra dimensions are compactified by a magnetic flux. We systematically construct exact cosmological solutions using the fact that the system is equivalently described by (6+n)-dimensional pure Einstein-Maxwell theory via dimensional reduction. In particular, we find a power-law inflationary solution for a general dilatonic coupling. When the dilatonic coupling is given by that of Nishino-Sezgin chiral supergravity, this reduces to the known solution which is not inflating. The power-law solution is shown to be the late-time attractor. We also investigate cosmological tensor perturbations in this model using the (6+n)-dimensional description. We obtain the separable equation of motion and find that there always exist a zero mode, while tachyonic modes are absent in the spectrum. The mass spectrum of Kaluza-Klein modes is obtained numerically.
| 7.159953
| 6.612547
| 7.535863
| 6.603378
| 6.736473
| 6.666831
| 7.111942
| 6.521233
| 6.623444
| 8.046474
| 6.584966
| 6.458628
| 6.901721
| 6.510967
| 6.788353
| 6.88167
| 6.630589
| 6.646574
| 6.456604
| 6.852729
| 6.553281
|
hep-th/9705003
|
Peter Cho
|
Micha Berkooz, Peter Cho, Per Kraus and Matthew J. Strassler
|
Dual Descriptions of SO(10) SUSY Gauge Theories with Arbitrary Numbers
of Spinors and Vectors
|
36 pages, harvmac and tables macros, 1 figure
|
Phys.Rev. D56 (1997) 7166-7182
|
10.1103/PhysRevD.56.7166
|
HUTP-97/A014, CALT 68-2109, RU-97-24
|
hep-th hep-ph
| null |
We examine the low energy structure of N=1 supersymmetric SO(10) gauge theory
with matter chiral superfields in N_Q spinor and N_f vector representations. We
construct a dual to this model based upon an SU(N_f+2N_Q-7) x Sp(2N_Q-2) gauge
group without utilizing deconfinement methods. This product theory generalizes
all previously known Pouliot-type duals to SO(N_c) models with spinor and
vector matter. It also yields large numbers of new dual pairs along various
flat directions. The dual description of the SO(10) theory satisfies multiple
consistency checks including an intricate renormalization group flow analysis
which links it with Seiberg's duality transformations. We discuss its
implications for building grand unified theories that contain all Standard
Model fields as composite degrees of freedom.
|
[
{
"created": "Thu, 1 May 1997 23:03:01 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Berkooz",
"Micha",
""
],
[
"Cho",
"Peter",
""
],
[
"Kraus",
"Per",
""
],
[
"Strassler",
"Matthew J.",
""
]
] |
We examine the low energy structure of N=1 supersymmetric SO(10) gauge theory with matter chiral superfields in N_Q spinor and N_f vector representations. We construct a dual to this model based upon an SU(N_f+2N_Q-7) x Sp(2N_Q-2) gauge group without utilizing deconfinement methods. This product theory generalizes all previously known Pouliot-type duals to SO(N_c) models with spinor and vector matter. It also yields large numbers of new dual pairs along various flat directions. The dual description of the SO(10) theory satisfies multiple consistency checks including an intricate renormalization group flow analysis which links it with Seiberg's duality transformations. We discuss its implications for building grand unified theories that contain all Standard Model fields as composite degrees of freedom.
| 13.720222
| 12.050501
| 15.184999
| 12.48644
| 13.18187
| 12.891635
| 12.962055
| 12.850675
| 11.965389
| 17.319038
| 11.726258
| 12.586544
| 13.422687
| 12.596691
| 13.099533
| 12.371305
| 12.142755
| 12.446128
| 12.680581
| 14.069561
| 12.664634
|
1505.01995
|
Sergio Gonz\'alez Mart\'in
|
Enrique \'Alvarez, Sergio Gonz\'alez-Mart\'in, Mario Herrero-Valea and
Carmelo P. Mart\'in
|
Quantum Corrections to Unimodular Gravity
|
34 pages
| null |
10.1007/JHEP08(2015)078
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The problem of the cosmological constant appears in a new light in Unimodular
Gravity. In particular, the zero momentum piece of the potential (that is, the
constant piece independent of the matter fields) does not automatically produce
a cosmological constant proportional to it. The aim of this paper is to give
some details on a calculation showing that quantum corrections do not
renormalize the classical value of this observable.
|
[
{
"created": "Fri, 8 May 2015 11:10:03 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Jul 2015 15:14:12 GMT",
"version": "v2"
},
{
"created": "Wed, 26 Aug 2015 13:49:21 GMT",
"version": "v3"
},
{
"created": "Mon, 26 Oct 2015 13:42:02 GMT",
"version": "v4"
}
] |
2018-02-15
|
[
[
"Álvarez",
"Enrique",
""
],
[
"González-Martín",
"Sergio",
""
],
[
"Herrero-Valea",
"Mario",
""
],
[
"Martín",
"Carmelo P.",
""
]
] |
The problem of the cosmological constant appears in a new light in Unimodular Gravity. In particular, the zero momentum piece of the potential (that is, the constant piece independent of the matter fields) does not automatically produce a cosmological constant proportional to it. The aim of this paper is to give some details on a calculation showing that quantum corrections do not renormalize the classical value of this observable.
| 11.937851
| 10.836776
| 11.422464
| 11.138844
| 10.606134
| 11.08287
| 10.93265
| 10.884657
| 11.446362
| 12.393435
| 10.816841
| 11.345778
| 11.509228
| 11.220268
| 11.12406
| 11.20768
| 11.341756
| 10.900563
| 11.38436
| 11.811373
| 11.084848
|
hep-th/9802127
|
Harutada Sato
|
Haru-Tada Sato and Michael G. Schmidt
|
Exact Combinatorics of Bern-Kosower-type Amplitudes for Two-Loop
$\Phi^3$ Theory
|
26 pages, two figures by pictex
|
Nucl.Phys. B524 (1998) 742-764
|
10.1016/S0550-3213(98)00329-0
|
HD-THEP-98-8
|
hep-th
| null |
Counting the contribution rate of a world-line formula to Feynman diagrams in
$\phi^3$ theory, we explain the idea how to determine precise combinatorics of
Bern-Kosower-like amplitudes derived from a bosonic string theory for $N$-point
two-loop Feynman amplitudes. In this connection we also present a method to
derive simple and compact world-line forms for the effective action.
|
[
{
"created": "Thu, 19 Feb 1998 02:55:37 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Sato",
"Haru-Tada",
""
],
[
"Schmidt",
"Michael G.",
""
]
] |
Counting the contribution rate of a world-line formula to Feynman diagrams in $\phi^3$ theory, we explain the idea how to determine precise combinatorics of Bern-Kosower-like amplitudes derived from a bosonic string theory for $N$-point two-loop Feynman amplitudes. In this connection we also present a method to derive simple and compact world-line forms for the effective action.
| 17.730425
| 16.079784
| 14.332326
| 15.733057
| 17.495087
| 15.413917
| 14.886581
| 15.897164
| 14.521545
| 15.552126
| 16.543531
| 14.699967
| 13.946092
| 14.756586
| 14.403809
| 13.809931
| 14.120641
| 13.90602
| 14.161858
| 13.479362
| 14.469665
|
hep-th/9308088
| null |
J. A. Dixon
|
The Search for Supersymmetry Anomalies--Does Supersymmetry Break Itself?
--
|
Talk given at the HARC conference on `Recent Advances in the
Superworld', LaTeX 15 pages, CTP-TAMU-45/93
| null | null | null |
hep-th hep-ph
| null |
The established results concerning the BRS cohomology of supersymmetric
theories in four space-time dimensions are briefly reviewed. The current status
of knowledge concerning supersymmetry anomalies and the possibility that
supersymmetry breaks itself through anomalies in local composite operators is
then discussed.
It turns out that the simplest allowable supersymmetry anomalies occur only
in conjunction with the spontaneous breaking of gauge symmetry. A simple
example of such a possible supersymmetry anomaly is presented.
|
[
{
"created": "Wed, 18 Aug 1993 19:56:14 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Dixon",
"J. A.",
""
]
] |
The established results concerning the BRS cohomology of supersymmetric theories in four space-time dimensions are briefly reviewed. The current status of knowledge concerning supersymmetry anomalies and the possibility that supersymmetry breaks itself through anomalies in local composite operators is then discussed. It turns out that the simplest allowable supersymmetry anomalies occur only in conjunction with the spontaneous breaking of gauge symmetry. A simple example of such a possible supersymmetry anomaly is presented.
| 11.488709
| 12.646219
| 11.346835
| 11.000316
| 10.770404
| 12.124244
| 10.138185
| 11.428909
| 11.132824
| 12.171337
| 10.72611
| 10.706255
| 11.44503
| 10.723959
| 10.755973
| 10.903761
| 10.53137
| 10.78475
| 10.686397
| 11.238388
| 10.857975
|
hep-th/9811099
|
Zhou Bang Rong
|
Bang-Rong Zhou
|
Discrete symmetry breaking and restoration at finite temperature in 3D
Gross-Neveu model
|
8 pages, Latex, no figure, Phys. Lett. B., to be published
|
Phys.Lett. B444 (1998) 455-462
|
10.1016/S0370-2693(98)01405-1
|
IC/98/114
|
hep-th
| null |
Dynamical spontaneous breaking of some discrete symmetries including special
parities and time reversal and their restoration at finite temperature T are
researched in 3D Gross-Neveu model by means of Schwinger-Dyson equation in the
real-time thermal field theory in the fermion bubble diagram approximation.
When the momentum cut-off $\Lambda$ is large enough, the equation of critical
chemical potential $\mu_c$ and critical temperature $T_c$ will be
$\Lambda$-independent and identical to the one obtained by auxialiary scalar
field approach. The dynamical fermion mass m, as the order parameter of
symmetry breaking, has the same $(T_c-T)^{1/2}$ behavior as one in 4D NJL-model
when T is less than and near $T_c$ and this shows the second-order phase
transition feature of the symmetry restoration at $T>T_c$. It is also proven
that no scalar bound state could exist in this model.
|
[
{
"created": "Wed, 11 Nov 1998 10:52:58 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Zhou",
"Bang-Rong",
""
]
] |
Dynamical spontaneous breaking of some discrete symmetries including special parities and time reversal and their restoration at finite temperature T are researched in 3D Gross-Neveu model by means of Schwinger-Dyson equation in the real-time thermal field theory in the fermion bubble diagram approximation. When the momentum cut-off $\Lambda$ is large enough, the equation of critical chemical potential $\mu_c$ and critical temperature $T_c$ will be $\Lambda$-independent and identical to the one obtained by auxialiary scalar field approach. The dynamical fermion mass m, as the order parameter of symmetry breaking, has the same $(T_c-T)^{1/2}$ behavior as one in 4D NJL-model when T is less than and near $T_c$ and this shows the second-order phase transition feature of the symmetry restoration at $T>T_c$. It is also proven that no scalar bound state could exist in this model.
| 9.708874
| 7.747849
| 9.344072
| 8.146757
| 8.681519
| 8.741866
| 8.985688
| 8.420591
| 7.678713
| 9.961087
| 8.717735
| 8.493805
| 8.779687
| 8.701513
| 8.80922
| 8.389605
| 8.472217
| 8.591342
| 8.583592
| 8.881556
| 8.556042
|
2109.03595
|
Yannick Mvondo-She
|
Yannick Mvondo-She
|
Integrable hierarchies, Hurwitz numbers and a branch point field in
critical topologically massive gravity
|
21 pages, extended version, 2 figures added, references added
|
SciPost Phys. 12, 132 (2022)
|
10.21468/SciPostPhys.12.4.132
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We discuss integrable aspects of the logarithmic contribution of the
partition function of cosmological critical topologically massive gravity. On
one hand, written in terms of Bell polynomials which describe the statistics of
set partitions, the partition function of the logarithmic fields is a
generating function of the potential Burgers hierarchy. On the other hand, the
polynomial variables are solutions of the Kadomtsev-Petviashvili equation, and
the partition function is a KP $\tau$ function, making more precise the
solitonic nature of the logarithmic fields being counted. We show that the
partition function is a generating function of Hurwitz numbers, and derive its
expression. The fact that the partition function is the generating function of
branched coverings gives insight on the orbifold target space. We show that the
logarithmic field $\psi^{new}_{\mu \nu}$ can be regarded as a branch point
field associated to the branch point $\mu l =1$.
|
[
{
"created": "Wed, 8 Sep 2021 12:46:06 GMT",
"version": "v1"
},
{
"created": "Mon, 31 Jan 2022 07:47:20 GMT",
"version": "v2"
}
] |
2022-04-20
|
[
[
"Mvondo-She",
"Yannick",
""
]
] |
We discuss integrable aspects of the logarithmic contribution of the partition function of cosmological critical topologically massive gravity. On one hand, written in terms of Bell polynomials which describe the statistics of set partitions, the partition function of the logarithmic fields is a generating function of the potential Burgers hierarchy. On the other hand, the polynomial variables are solutions of the Kadomtsev-Petviashvili equation, and the partition function is a KP $\tau$ function, making more precise the solitonic nature of the logarithmic fields being counted. We show that the partition function is a generating function of Hurwitz numbers, and derive its expression. The fact that the partition function is the generating function of branched coverings gives insight on the orbifold target space. We show that the logarithmic field $\psi^{new}_{\mu \nu}$ can be regarded as a branch point field associated to the branch point $\mu l =1$.
| 12.206753
| 12.86788
| 13.182307
| 11.755029
| 12.609892
| 12.439095
| 11.982275
| 11.711707
| 11.362989
| 13.709394
| 11.279585
| 11.595577
| 11.982107
| 11.696223
| 11.956387
| 11.841227
| 11.680916
| 11.785529
| 11.959836
| 12.225318
| 11.469788
|
1903.01199
|
Shan Hu
|
Shan Hu
|
S-duality transformation of $\mathcal{N}$ $=4$ SYM theory at the
operator level
|
25 pages; v2: 29 pages, reference added; v3: restructured,
clarifications added
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the S-duality transformation of gauge invariant operators and
states in $\mathcal{N}$ $=4$ SYM theory. The transformation is realized through
an operator $ S $ which is the $ SL(2,Z) $ canonical transformation in loop
space with the gauge invariant electric and the magnetic flux operators
composing the canonical variables. Based on $ S $, S-duals for all of the
physical operators and states can be defined. The criterion for the theory to
be S-duality invariant is that the superconformal charges and their S-duals
differ by a $ U(1)_{Y} $ phase. The verification can be done by checking the S
transformation for supersymmetry and special supersymmetry variations of the
loop operators. The fact that supercharges preserved by BPS Wilson operators
and the S-dual BPS 't Hooft operators differ by a $4d $ chiral rotation could
in some sense serve as a proof.
|
[
{
"created": "Mon, 4 Mar 2019 12:08:49 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Mar 2019 13:45:42 GMT",
"version": "v2"
},
{
"created": "Wed, 22 May 2019 11:48:48 GMT",
"version": "v3"
}
] |
2019-05-23
|
[
[
"Hu",
"Shan",
""
]
] |
We consider the S-duality transformation of gauge invariant operators and states in $\mathcal{N}$ $=4$ SYM theory. The transformation is realized through an operator $ S $ which is the $ SL(2,Z) $ canonical transformation in loop space with the gauge invariant electric and the magnetic flux operators composing the canonical variables. Based on $ S $, S-duals for all of the physical operators and states can be defined. The criterion for the theory to be S-duality invariant is that the superconformal charges and their S-duals differ by a $ U(1)_{Y} $ phase. The verification can be done by checking the S transformation for supersymmetry and special supersymmetry variations of the loop operators. The fact that supercharges preserved by BPS Wilson operators and the S-dual BPS 't Hooft operators differ by a $4d $ chiral rotation could in some sense serve as a proof.
| 11.6412
| 11.478213
| 12.380838
| 11.007755
| 11.469418
| 12.207155
| 10.885085
| 10.556297
| 11.619807
| 13.924679
| 10.384412
| 11.300589
| 11.019977
| 10.540456
| 10.623807
| 10.66358
| 10.895214
| 10.812552
| 11.181228
| 11.53
| 11.036802
|
1410.3193
|
Sanjib Dey Dr
|
Sanjib Dey
|
Solvable Models on Noncommutative Spaces with Minimal Length Uncertainty
Relations
|
Ph.D. Thesis, 170 pages, 62 figures. arXiv admin note: text overlap
with arXiv:hep-th/0703096, arXiv:hep-th/0109162 by other authors
| null | null | null |
hep-th gr-qc math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Our main focus is to explore different models in noncommutative spaces in
higher dimensions. We provide a procedure to relate a three dimensional
q-deformed oscillator algebra to the corresponding algebra satisfied by
canonical variables describing non-commutative spaces. The representations for
the corresponding operators obey algebras whose uncertainty relations lead to
minimal length, areas and volumes in phase space, which are in principle
natural candidates of many different approaches of quantum gravity. We study
some explicit models on these types of noncommutative spaces, first by
utilising the perturbation theory, later in an exact manner. In many cases the
operators are not Hermitian, therefore we use PT -symmetry and
pseudo-Hermiticity property, wherever applicable, to make them self-consistent.
Apart from building mathematical models, we focus on the physical implications
of noncommutative theories too. We construct Klauder coherent states for the
perturbative and nonperturbative noncommutative harmonic oscillator associated
with uncertainty relations implying minimal lengths. In both cases, the
uncertainty relations for the constructed states are shown to be saturated and
thus imply to the squeezed coherent states. They are also shown to satisfy the
Ehrenfest theorem dictating the classical like nature of the coherent
wavepacket. The quality of those states are further underpinned by the
fractional revival structure. More investigations into the comparison are
carried out by a qualitative comparison between the dynamics of the classical
particle and that of the coherent states based on numerical techniques. The
qualitative behaviour is found to be governed by the Mandel parameter
determining the regime in which the wavefunctions evolve as soliton like
structures.
|
[
{
"created": "Mon, 13 Oct 2014 06:00:10 GMT",
"version": "v1"
}
] |
2014-10-14
|
[
[
"Dey",
"Sanjib",
""
]
] |
Our main focus is to explore different models in noncommutative spaces in higher dimensions. We provide a procedure to relate a three dimensional q-deformed oscillator algebra to the corresponding algebra satisfied by canonical variables describing non-commutative spaces. The representations for the corresponding operators obey algebras whose uncertainty relations lead to minimal length, areas and volumes in phase space, which are in principle natural candidates of many different approaches of quantum gravity. We study some explicit models on these types of noncommutative spaces, first by utilising the perturbation theory, later in an exact manner. In many cases the operators are not Hermitian, therefore we use PT -symmetry and pseudo-Hermiticity property, wherever applicable, to make them self-consistent. Apart from building mathematical models, we focus on the physical implications of noncommutative theories too. We construct Klauder coherent states for the perturbative and nonperturbative noncommutative harmonic oscillator associated with uncertainty relations implying minimal lengths. In both cases, the uncertainty relations for the constructed states are shown to be saturated and thus imply to the squeezed coherent states. They are also shown to satisfy the Ehrenfest theorem dictating the classical like nature of the coherent wavepacket. The quality of those states are further underpinned by the fractional revival structure. More investigations into the comparison are carried out by a qualitative comparison between the dynamics of the classical particle and that of the coherent states based on numerical techniques. The qualitative behaviour is found to be governed by the Mandel parameter determining the regime in which the wavefunctions evolve as soliton like structures.
| 15.117964
| 15.732265
| 17.432989
| 16.126085
| 16.533335
| 17.032455
| 16.751274
| 15.985679
| 15.158294
| 17.617155
| 16.005774
| 15.370734
| 15.955773
| 15.265123
| 15.253441
| 15.513659
| 15.352231
| 15.083298
| 15.136655
| 16.05467
| 15.239708
|
1910.02973
|
Sunil Mukhi
|
Sunil Mukhi (IISER Pune)
|
Classification of RCFT from Holomorphic Modular Bootstrap: A Status
Report
|
5 pages. To appear in the Proceedings of the Pollica Summer Workshop
on "Mathematical and Geometric Tools for Conformal Field Theories'', June
3-21, 2019
| null | null | null |
hep-th math.NT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Following the initial proposal in 1988, there has been much progress in
classifying Rational Conformal Field Theories in 2 dimensions from the
Holomorphic Bootstrap approach. This method starts by postulating a generic
holomorphic Modular Linear Differential Equation of a given order and imposing
the requirement of non-negative integrality of the coefficients in the series
expansion of the solutions, which are then identified as admissible characters,
from which a modular-invariant partition function is constructed. In this short
note, the status of this project is summarised.
|
[
{
"created": "Mon, 7 Oct 2019 18:01:42 GMT",
"version": "v1"
}
] |
2019-10-09
|
[
[
"Mukhi",
"Sunil",
"",
"IISER Pune"
]
] |
Following the initial proposal in 1988, there has been much progress in classifying Rational Conformal Field Theories in 2 dimensions from the Holomorphic Bootstrap approach. This method starts by postulating a generic holomorphic Modular Linear Differential Equation of a given order and imposing the requirement of non-negative integrality of the coefficients in the series expansion of the solutions, which are then identified as admissible characters, from which a modular-invariant partition function is constructed. In this short note, the status of this project is summarised.
| 14.022229
| 10.629739
| 12.640169
| 10.69543
| 9.611953
| 10.786293
| 11.673285
| 9.652706
| 11.152469
| 13.543386
| 10.52442
| 11.050668
| 11.893176
| 11.259538
| 11.271369
| 11.30548
| 10.931636
| 11.029566
| 11.056463
| 12.350013
| 10.740003
|
2405.21057
|
Felipe Figueroa
|
Christopher Eckner, Felipe Figueroa, Piotr Tourkine
|
On the number of Regge trajectories for dual amplitudes
|
24 pages, 6 figures. v2: Added a few references and comments, typos
corrected, brief discussion on situation for CFTs
| null | null |
LAPTH-030/24
|
hep-th hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
Regge poles connect the analytic structure of scattering amplitudes,
analytically continued in spin, to the high-energy limit in momentum space.
Dual models are expected to have only Regge poles, and string theory suggests
there should be an infinite number of them. In this study, we investigate the
number of Regge trajectories these models may have. We prove, based solely on
crossing symmetry and unitarity, that meromorphic amplitudes, with or without
subtractions, cannot produce a reggeizing amplitude if they contain any finite
number of Regge trajectories. We argue that this should exclude the existence
of such amplitudes altogether. Additionally, we develop and apply a linear
programming dual bootstrap method to exclude these amplitudes directly in
momentum space.
|
[
{
"created": "Fri, 31 May 2024 17:48:50 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Jun 2024 15:29:27 GMT",
"version": "v2"
}
] |
2024-06-12
|
[
[
"Eckner",
"Christopher",
""
],
[
"Figueroa",
"Felipe",
""
],
[
"Tourkine",
"Piotr",
""
]
] |
Regge poles connect the analytic structure of scattering amplitudes, analytically continued in spin, to the high-energy limit in momentum space. Dual models are expected to have only Regge poles, and string theory suggests there should be an infinite number of them. In this study, we investigate the number of Regge trajectories these models may have. We prove, based solely on crossing symmetry and unitarity, that meromorphic amplitudes, with or without subtractions, cannot produce a reggeizing amplitude if they contain any finite number of Regge trajectories. We argue that this should exclude the existence of such amplitudes altogether. Additionally, we develop and apply a linear programming dual bootstrap method to exclude these amplitudes directly in momentum space.
| 11.392191
| 10.407812
| 12.031473
| 10.388743
| 12.05839
| 11.062925
| 10.667361
| 11.13134
| 10.388341
| 11.973263
| 10.767673
| 10.623604
| 11.026411
| 10.43646
| 10.301245
| 10.668033
| 10.346823
| 10.547791
| 10.325961
| 10.591746
| 10.850975
|
hep-th/9803226
|
Vivian de la Incera
|
Efrain J. Ferrer and Vivian de la Incera
|
Ward-Takahashi Identity with External Field in Ladder QED
|
new references(refs.10,11) added, 18 pages, Latex
|
Phys.Rev. D58 (1998) 065008
|
10.1103/PhysRevD.58.065008
|
SUNY-FRE-98-03
|
hep-th hep-ph
| null |
We derive the Ward-Takahashi identity obeyed by the fermion-antifermion-gauge
boson vertex in ladder QED in the presence of a constant magnetic field. The
general structure in momentum space of the fermion mass operator with external
electromagnetic field is discussed. Using it we find the solutions of the
ladder WT identity with magnetic field. The consistency of our results with the
solutions of the corresponding Schwinger-Dyson equation ensures the gauge
invariance of the magnetic field induced chiral symmetry breaking recently
found in ladder QED.
|
[
{
"created": "Thu, 26 Mar 1998 23:31:43 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Apr 1998 23:19:29 GMT",
"version": "v2"
},
{
"created": "Wed, 29 Apr 1998 21:12:51 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Ferrer",
"Efrain J.",
""
],
[
"de la Incera",
"Vivian",
""
]
] |
We derive the Ward-Takahashi identity obeyed by the fermion-antifermion-gauge boson vertex in ladder QED in the presence of a constant magnetic field. The general structure in momentum space of the fermion mass operator with external electromagnetic field is discussed. Using it we find the solutions of the ladder WT identity with magnetic field. The consistency of our results with the solutions of the corresponding Schwinger-Dyson equation ensures the gauge invariance of the magnetic field induced chiral symmetry breaking recently found in ladder QED.
| 8.491199
| 7.908275
| 7.171829
| 7.150111
| 7.836939
| 8.206321
| 8.372281
| 8.190363
| 7.168945
| 7.651447
| 7.883999
| 8.241852
| 7.479388
| 7.467336
| 8.02031
| 7.683643
| 7.905408
| 8.075007
| 7.960276
| 7.657975
| 8.185502
|
2201.08351
|
Hee-Joong Chung
|
Hee-Joong Chung
|
BPS Invariants for a Knot in Seifert Manifolds
|
26 pages, v2 minor revisions; v3 minor revisions, published version
| null |
10.1007/JHEP12(2022)122
| null |
hep-th math-ph math.GT math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We calculate homological blocks for a knot in Seifert manifolds when the
gauge group is $SU(N)$. We obtain the homological blocks with a given
representation of the gauge group from the expectation value of the Wilson loop
operator by analytically continuing the Chern-Simons level. We also obtain
homological blocks with the analytically continued level and representation for
a knot in the Seifert integer homology spheres.
|
[
{
"created": "Thu, 20 Jan 2022 18:35:28 GMT",
"version": "v1"
},
{
"created": "Mon, 30 May 2022 13:41:59 GMT",
"version": "v2"
},
{
"created": "Thu, 22 Dec 2022 13:04:55 GMT",
"version": "v3"
}
] |
2023-01-04
|
[
[
"Chung",
"Hee-Joong",
""
]
] |
We calculate homological blocks for a knot in Seifert manifolds when the gauge group is $SU(N)$. We obtain the homological blocks with a given representation of the gauge group from the expectation value of the Wilson loop operator by analytically continuing the Chern-Simons level. We also obtain homological blocks with the analytically continued level and representation for a knot in the Seifert integer homology spheres.
| 8.587567
| 7.470353
| 8.66758
| 7.59667
| 8.131295
| 6.910056
| 7.845501
| 7.80658
| 7.825061
| 10.574603
| 7.785158
| 7.587154
| 8.192115
| 7.521364
| 7.824194
| 7.569838
| 7.842436
| 7.355866
| 7.665877
| 7.859076
| 7.79214
|
1910.08099
|
Ilija Buric
|
Ilija Buric, Mikhail Isachenkov, Volker Schomerus
|
Conformal Group Theory of Tensor Structures
| null | null |
10.1007/JHEP10(2020)004
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The decomposition of correlation functions into conformal blocks is an
indispensable tool in conformal field theory. For spinning correlators,
non-trivial tensor structures are needed to mediate between the conformal
blocks, which are functions of cross ratios only, and the correlation functions
that depend on insertion points in the $d$-dimensional Euclidean space. Here we
develop an entirely group theoretic approach to tensor structures, based on the
Cartan decomposition of the conformal group. It provides us with a new
universal formula for tensor structures and thereby a systematic derivation of
crossing equations. Our approach applies to a `gauge' in which the conformal
blocks are wave functions of Calogero-Sutherland models rather than solutions
of the more standard Casimir equations. Through this ab initio construction of
tensor structures we complete the Calogero-Sutherland approach to conformal
correlators, at least for four-point functions of local operators in
non-supersymmetric models. An extension to defects and superconformal symmetry
is possible.
|
[
{
"created": "Thu, 17 Oct 2019 18:19:32 GMT",
"version": "v1"
}
] |
2020-10-28
|
[
[
"Buric",
"Ilija",
""
],
[
"Isachenkov",
"Mikhail",
""
],
[
"Schomerus",
"Volker",
""
]
] |
The decomposition of correlation functions into conformal blocks is an indispensable tool in conformal field theory. For spinning correlators, non-trivial tensor structures are needed to mediate between the conformal blocks, which are functions of cross ratios only, and the correlation functions that depend on insertion points in the $d$-dimensional Euclidean space. Here we develop an entirely group theoretic approach to tensor structures, based on the Cartan decomposition of the conformal group. It provides us with a new universal formula for tensor structures and thereby a systematic derivation of crossing equations. Our approach applies to a `gauge' in which the conformal blocks are wave functions of Calogero-Sutherland models rather than solutions of the more standard Casimir equations. Through this ab initio construction of tensor structures we complete the Calogero-Sutherland approach to conformal correlators, at least for four-point functions of local operators in non-supersymmetric models. An extension to defects and superconformal symmetry is possible.
| 10.29982
| 9.418904
| 9.329712
| 7.823133
| 9.077197
| 8.505062
| 9.50681
| 8.861172
| 8.351846
| 9.436189
| 8.374838
| 8.521155
| 8.308089
| 8.100411
| 7.852296
| 8.506869
| 8.225141
| 8.003686
| 8.200035
| 8.384966
| 8.293111
|
1803.08058
|
Benjamin Withers
|
Benjamin Withers
|
Short-lived modes from hydrodynamic dispersion relations
|
17 pages, 6 figures. Matches published version
| null |
10.1007/JHEP06(2018)059
| null |
hep-th gr-qc nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the dispersion relation of the shear-diffusion mode in
relativistic hydrodynamics, which we generate to high order as a series in
spatial momentum q for a holographic model. We demonstrate that the
hydrodynamic series can be summed in a way that extends through branch cuts
present in the complex q plane, resulting in the accurate description of
multiple sheets. Each additional sheet corresponds to the dispersion relation
of a different non-hydrodynamic mode. As an example we extract the frequencies
of a pair of oscillatory non-hydrodynamic black hole quasinormal modes from the
hydrodynamic series. The analytic structure of this model points to the
possibility that the complete spectrum of gravitational quasinormal modes may
be accessible from the hydrodynamic derivative expansion.
|
[
{
"created": "Wed, 21 Mar 2018 18:00:18 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Jun 2018 08:45:35 GMT",
"version": "v2"
}
] |
2018-07-04
|
[
[
"Withers",
"Benjamin",
""
]
] |
We consider the dispersion relation of the shear-diffusion mode in relativistic hydrodynamics, which we generate to high order as a series in spatial momentum q for a holographic model. We demonstrate that the hydrodynamic series can be summed in a way that extends through branch cuts present in the complex q plane, resulting in the accurate description of multiple sheets. Each additional sheet corresponds to the dispersion relation of a different non-hydrodynamic mode. As an example we extract the frequencies of a pair of oscillatory non-hydrodynamic black hole quasinormal modes from the hydrodynamic series. The analytic structure of this model points to the possibility that the complete spectrum of gravitational quasinormal modes may be accessible from the hydrodynamic derivative expansion.
| 10.909434
| 11.398864
| 11.952852
| 10.698519
| 10.739447
| 11.178003
| 10.169908
| 10.55779
| 10.850258
| 11.652538
| 10.429454
| 10.683039
| 10.688701
| 10.215939
| 10.148388
| 10.191115
| 10.322452
| 10.260074
| 10.683311
| 10.755403
| 10.4766
|
2009.03948
|
Hamid Razaghian
|
Hamid Razaghian
|
Complexity Growth of Dyonic Black holes with Quartic Field Strength
Corrections
|
25 pages, 2 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, according to CA duality, we study the complexity growth of
dyonic RN-type black holes with quartic field strength corrections ($F^4$
corrections) to the matter action in general $D\geq4$-dimensions and find the
behavior of action growth, similar to the case of the normal RN black holes, is
different between electric and magnetic black holes which is unexpected since
violates the electromagnetic duality. For restoring this duality, we add the
Maxwell boundary term (at order 3-derivative) to the action and discuss the
outcomes of the addition. Also, we have used another method that introduces UV
finite cut off at AdS boundary to evaluate the complexity growth rate of dyonic
black holes with and without $F^4$ corrections. In this method, without adding
a surface term, late time growth rate of complexity exhibits expected behavior.
|
[
{
"created": "Tue, 8 Sep 2020 19:01:15 GMT",
"version": "v1"
}
] |
2020-09-10
|
[
[
"Razaghian",
"Hamid",
""
]
] |
In this paper, according to CA duality, we study the complexity growth of dyonic RN-type black holes with quartic field strength corrections ($F^4$ corrections) to the matter action in general $D\geq4$-dimensions and find the behavior of action growth, similar to the case of the normal RN black holes, is different between electric and magnetic black holes which is unexpected since violates the electromagnetic duality. For restoring this duality, we add the Maxwell boundary term (at order 3-derivative) to the action and discuss the outcomes of the addition. Also, we have used another method that introduces UV finite cut off at AdS boundary to evaluate the complexity growth rate of dyonic black holes with and without $F^4$ corrections. In this method, without adding a surface term, late time growth rate of complexity exhibits expected behavior.
| 17.80521
| 13.603866
| 16.999008
| 14.144365
| 14.856567
| 14.871025
| 13.915751
| 14.634867
| 13.344153
| 17.458117
| 14.586305
| 14.69538
| 15.939868
| 14.622347
| 14.59823
| 14.397151
| 14.690388
| 14.97159
| 14.568707
| 15.591126
| 15.658129
|
0711.0658
|
Joao G. Rosa
|
J. G. Rosa and John March-Russell
|
Resonant particle production in branonium
|
26 pages, 9 figures Version to be published in Physical Review D,
with two new sections on Affleck-Dine-like angular momentum generation from
transverse space compactification effects and one on stabilization and
cosmological implications
|
Phys.Rev.D77:126004,2008
|
10.1103/PhysRevD.77.126004
|
OUTP-07-10-P
|
hep-th astro-ph hep-ph
| null |
We study the mechanism of particle production in the world-volume of a probe
anti D6-brane (or D6 with SUSY breaking) moving in the background created by a
fixed stack of $D6$-branes. We show that this may occur in a regime of
parametric resonance when the probe's motion is non-relativistic and it moves
at large distances from the source branes in low eccentricity orbits. This
leads to an exponential growth of the particle number in the probe's
world-volume and constitutes an effective mechanism for producing very massive
particles. We also analyze the evolution of this system in an expanding
universe and how this affects the development of the parametric resonance. We
discuss the effects of transverse space compactification on the probe's motion,
showing that it leads to the creation of angular momentum in a similar way to
the Affleck-Dine mechanism for baryogenesis. Finally, we describe possible
final states of the system and their potential relevance to cosmology.
|
[
{
"created": "Mon, 5 Nov 2007 16:13:08 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Nov 2007 16:08:29 GMT",
"version": "v2"
},
{
"created": "Wed, 23 Apr 2008 10:45:52 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Rosa",
"J. G.",
""
],
[
"March-Russell",
"John",
""
]
] |
We study the mechanism of particle production in the world-volume of a probe anti D6-brane (or D6 with SUSY breaking) moving in the background created by a fixed stack of $D6$-branes. We show that this may occur in a regime of parametric resonance when the probe's motion is non-relativistic and it moves at large distances from the source branes in low eccentricity orbits. This leads to an exponential growth of the particle number in the probe's world-volume and constitutes an effective mechanism for producing very massive particles. We also analyze the evolution of this system in an expanding universe and how this affects the development of the parametric resonance. We discuss the effects of transverse space compactification on the probe's motion, showing that it leads to the creation of angular momentum in a similar way to the Affleck-Dine mechanism for baryogenesis. Finally, we describe possible final states of the system and their potential relevance to cosmology.
| 9.295273
| 9.340642
| 9.399746
| 8.914308
| 9.48961
| 8.968077
| 9.008257
| 9.385024
| 8.774568
| 10.07396
| 8.73363
| 9.036662
| 9.201196
| 9.020935
| 8.787549
| 9.216867
| 9.158522
| 8.961338
| 9.093168
| 9.244027
| 8.885814
|
hep-th/9806037
| null |
A. Bassetto and L. Griguolo
|
Two-dimensional QCD, instanton contributions and the perturbative
Wu-Mandelstam-Leibbrandt prescription
|
RevTex, 11 pages, two references added
|
Phys.Lett. B443 (1998) 325-330
|
10.1016/S0370-2693(98)01319-7
| null |
hep-th
| null |
The exact Wilson loop expression for the pure Yang-Mills U(N) theory on a
sphere $S^2$ of radius $R$ exhibits, in the decompactification limit $R\to
\infty$, the expected pure area exponentiation. This behaviour can be
understood as due to the sum over all instanton sectors. If only the zero
instanton sector is considered, in the decompactification limit one exactly
recovers the sum of the perturbative series in which the light-cone gauge
Yang-Mills propagator is prescribed according to Wu-Mandelstam-Leibbrandt. When
instantons are disregarded, no pure area exponentiation occurs, the string
tension is different and, in the large-N limit, confinement is lost.
|
[
{
"created": "Thu, 4 Jun 1998 17:52:21 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Jun 1998 15:28:13 GMT",
"version": "v2"
},
{
"created": "Mon, 8 Jun 1998 17:24:19 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Bassetto",
"A.",
""
],
[
"Griguolo",
"L.",
""
]
] |
The exact Wilson loop expression for the pure Yang-Mills U(N) theory on a sphere $S^2$ of radius $R$ exhibits, in the decompactification limit $R\to \infty$, the expected pure area exponentiation. This behaviour can be understood as due to the sum over all instanton sectors. If only the zero instanton sector is considered, in the decompactification limit one exactly recovers the sum of the perturbative series in which the light-cone gauge Yang-Mills propagator is prescribed according to Wu-Mandelstam-Leibbrandt. When instantons are disregarded, no pure area exponentiation occurs, the string tension is different and, in the large-N limit, confinement is lost.
| 9.429814
| 7.682926
| 9.153319
| 8.169092
| 7.854939
| 7.859652
| 7.428602
| 8.548905
| 8.164911
| 9.65307
| 8.011518
| 8.373105
| 9.234329
| 8.530683
| 8.421608
| 8.252605
| 8.28842
| 8.394447
| 8.709818
| 8.80036
| 8.467155
|
hep-th/9111058
|
Satoru Odake
|
Satoru Odake
|
Unitary Representations of $W$ Infinity Algebras
|
20 pages
|
Int.J.Mod.Phys. A7 (1992) 6339-6356
|
10.1142/S0217751X9200288X
| null |
hep-th math.QA
| null |
We study the irreducible unitary highest weight representations, which are
obtained from free field realizations, of $W$ infinity algebras ($W_{\infty}$,
$W_{1+\infty}$, $W_{\infty}^{1,1}$, $W_{\infty}^M$, $W_{1+\infty}^N$,
$W_{\infty}^{M,N}$) with central charges ($2$, $1$, $3$, $2M$, $N$, $2M+N$).
The characters of these representations are computed. We construct a new
extended superalgebra $W_{\infty}^{M,N}$, whose bosonic sector is
$W_{\infty}^M\oplus W_{1+\infty}^N$. Its representations obtained from a free
field realization with central charge $2M+N$, are classified into two classes:
continuous series and discrete series. For the former there exists a
supersymmetry, but for the latter a supersymmetry exists only for $M=N$.
|
[
{
"created": "Thu, 28 Nov 1991 04:45:54 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Odake",
"Satoru",
""
]
] |
We study the irreducible unitary highest weight representations, which are obtained from free field realizations, of $W$ infinity algebras ($W_{\infty}$, $W_{1+\infty}$, $W_{\infty}^{1,1}$, $W_{\infty}^M$, $W_{1+\infty}^N$, $W_{\infty}^{M,N}$) with central charges ($2$, $1$, $3$, $2M$, $N$, $2M+N$). The characters of these representations are computed. We construct a new extended superalgebra $W_{\infty}^{M,N}$, whose bosonic sector is $W_{\infty}^M\oplus W_{1+\infty}^N$. Its representations obtained from a free field realization with central charge $2M+N$, are classified into two classes: continuous series and discrete series. For the former there exists a supersymmetry, but for the latter a supersymmetry exists only for $M=N$.
| 3.890486
| 4.103069
| 4.370936
| 3.84191
| 3.933831
| 4.285138
| 3.918927
| 4.117224
| 3.818562
| 4.617811
| 3.903449
| 3.937738
| 4.069524
| 3.833276
| 3.880166
| 3.789306
| 3.776215
| 3.756066
| 3.881835
| 3.880123
| 3.801762
|
1410.2391
|
Daisuke Takahashi
|
Muneto Nitta and Daisuke A. Takahashi
|
Quasi-Nambu-Goldstone modes in nonrelativistic systems
|
12 pages, 2 tables, no figure
|
Phys. Rev. D 91, 025018 (2015)
|
10.1103/PhysRevD.91.025018
| null |
hep-th cond-mat.other
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
When a continuous symmetry is spontaneously broken in nonrelativistic
systems, there appear either type-I or type-II Nambu-Goldstone modes (NGMs)
with linear or quadratic dispersion relation, respectively. When equation of
motion or the potential term has an enhanced symmetry larger than that of
Lagrangian or Hamiltonian, there can appear quasi-NGMs if it is spontaneously
broken. We construct a theory to count the numbers of type-I and type-II
quasi-NGMs and NGMs, when the potential term has a symmetry of a non-compact
group. We show that the counting rule based on the Watanabe-Brauner matrix is
valid only in the absence of quasi-NGMs because of non-hermitian generators,
while that based on the Gram matrix [DT & MN, arXiv:1404.7696, Ann. Phys. 354,
101 (2015)] is still valid in the presence of quasi-NGMs. We show that there
exist two types of type-II gapless modes, a genuine NGM generated by two
conventional zero modes (ZMs) originated from the Lagrangian symmetry, and
quasi-NGM generated by a coupling of one conventional ZMand one quasi-ZM, which
is originated from the enhanced symmetry, or two quasi-ZMs. We find that,
depending on the moduli, some NGMs can change to quasi-NGMs and vice versa with
preserving the total number of gapless modes. The dispersion relations are
systematically calculated by a perturbation theory. The general result is
illustrated by the complex linear $O(N)$ model, containing the two types of
type-II gapless modes and exhibiting the change between NGMs and quasi-NGMs.
|
[
{
"created": "Thu, 9 Oct 2014 09:00:05 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Jan 2015 16:36:26 GMT",
"version": "v2"
}
] |
2015-01-22
|
[
[
"Nitta",
"Muneto",
""
],
[
"Takahashi",
"Daisuke A.",
""
]
] |
When a continuous symmetry is spontaneously broken in nonrelativistic systems, there appear either type-I or type-II Nambu-Goldstone modes (NGMs) with linear or quadratic dispersion relation, respectively. When equation of motion or the potential term has an enhanced symmetry larger than that of Lagrangian or Hamiltonian, there can appear quasi-NGMs if it is spontaneously broken. We construct a theory to count the numbers of type-I and type-II quasi-NGMs and NGMs, when the potential term has a symmetry of a non-compact group. We show that the counting rule based on the Watanabe-Brauner matrix is valid only in the absence of quasi-NGMs because of non-hermitian generators, while that based on the Gram matrix [DT & MN, arXiv:1404.7696, Ann. Phys. 354, 101 (2015)] is still valid in the presence of quasi-NGMs. We show that there exist two types of type-II gapless modes, a genuine NGM generated by two conventional zero modes (ZMs) originated from the Lagrangian symmetry, and quasi-NGM generated by a coupling of one conventional ZMand one quasi-ZM, which is originated from the enhanced symmetry, or two quasi-ZMs. We find that, depending on the moduli, some NGMs can change to quasi-NGMs and vice versa with preserving the total number of gapless modes. The dispersion relations are systematically calculated by a perturbation theory. The general result is illustrated by the complex linear $O(N)$ model, containing the two types of type-II gapless modes and exhibiting the change between NGMs and quasi-NGMs.
| 7.840713
| 8.297189
| 8.349648
| 7.909056
| 8.602197
| 8.580429
| 8.379096
| 7.938253
| 8.181516
| 9.064569
| 7.965337
| 7.751578
| 8.127989
| 7.840808
| 7.959378
| 8.109182
| 7.864458
| 7.779705
| 7.763013
| 7.862162
| 7.741183
|
1403.4939
|
Kazuya Yonekura
|
Kazuya Yonekura
|
Unitarity, Locality, and Scale versus Conformal Invariance in Four
Dimensions
|
5 pages, 1 figure
| null | null | null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In four dimensional unitary scale invariant theories, arguments based on the
proof of the a-theorem suggest that the trace of the energy-momentum tensor T
vanishes when the momentum is light-like, p^2=0. We show that there exists a
local operator O such that the trace is given as T=\partial^2 O, which
establishes the equivalence of scale and conformal invariance. We define the
operator as O=\partial^{-2} T, and explain why this is a well-defined local
operator. Our argument is based on the assumptions that: (1) A kind of crossing
symmetry for vanishing matrix elements holds regardless of the existence of the
S-matrix. (2) Correlation functions in momentum space are analytic functions
other than singularities and branch cuts coming from on-shell processes. (3)
The Wightman axioms are sufficient criteria of the locality of an operator.
|
[
{
"created": "Wed, 19 Mar 2014 20:00:33 GMT",
"version": "v1"
}
] |
2014-03-21
|
[
[
"Yonekura",
"Kazuya",
""
]
] |
In four dimensional unitary scale invariant theories, arguments based on the proof of the a-theorem suggest that the trace of the energy-momentum tensor T vanishes when the momentum is light-like, p^2=0. We show that there exists a local operator O such that the trace is given as T=\partial^2 O, which establishes the equivalence of scale and conformal invariance. We define the operator as O=\partial^{-2} T, and explain why this is a well-defined local operator. Our argument is based on the assumptions that: (1) A kind of crossing symmetry for vanishing matrix elements holds regardless of the existence of the S-matrix. (2) Correlation functions in momentum space are analytic functions other than singularities and branch cuts coming from on-shell processes. (3) The Wightman axioms are sufficient criteria of the locality of an operator.
| 9.657589
| 8.729488
| 9.5073
| 8.66347
| 9.539688
| 9.013213
| 9.030658
| 9.221259
| 9.069812
| 10.827732
| 8.672838
| 8.805812
| 9.224307
| 9.09341
| 8.941943
| 8.992238
| 9.153889
| 8.922001
| 8.996964
| 9.468049
| 8.681552
|
1506.06995
|
David Dudal
|
M.A.L. Capri, D. Dudal, D. Fiorentini, M.S. Guimaraes, I.F. Justo,
A.D. Pereira, B.W. Mintz, L.F. Palhares, R.F. Sobreiro, S.P. Sorella
|
An exact nilpotent non-perturbative BRST symmetry for the
Gribov-Zwanziger action in the linear covariant gauge
|
8 pages. v2: version accepted for publication in PhysRevD
|
Phys. Rev. D 92, 045039 (2015)
|
10.1103/PhysRevD.92.045039
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We point out the existence of a non-perturbative exact nilpotent BRST
symmetry for the Gribov-Zwanziger action in the Landau gauge. We then put
forward a manifestly BRST invariant resolution of the Gribov gauge fixing
ambiguity in the linear covariant gauge.
|
[
{
"created": "Tue, 23 Jun 2015 13:47:20 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Aug 2015 07:31:01 GMT",
"version": "v2"
}
] |
2015-09-02
|
[
[
"Capri",
"M. A. L.",
""
],
[
"Dudal",
"D.",
""
],
[
"Fiorentini",
"D.",
""
],
[
"Guimaraes",
"M. S.",
""
],
[
"Justo",
"I. F.",
""
],
[
"Pereira",
"A. D.",
""
],
[
"Mintz",
"B. W.",
""
],
[
"Palhares",
"L. F.",
""
],
[
"Sobreiro",
"R. F.",
""
],
[
"Sorella",
"S. P.",
""
]
] |
We point out the existence of a non-perturbative exact nilpotent BRST symmetry for the Gribov-Zwanziger action in the Landau gauge. We then put forward a manifestly BRST invariant resolution of the Gribov gauge fixing ambiguity in the linear covariant gauge.
| 6.215057
| 4.353331
| 6.354188
| 4.812534
| 4.972096
| 4.76627
| 4.519261
| 4.703167
| 5.110096
| 6.546422
| 4.722275
| 5.192183
| 5.449551
| 5.338033
| 5.149565
| 5.28981
| 5.171549
| 5.125165
| 5.231756
| 5.649962
| 5.077919
|
0709.3733
|
Alexander Sevrin
|
A. Sevrin, W. Staessens, A. Wijns
|
The world-sheet description of A and B branes revisited
|
LaTeX, 32 pages
|
JHEP 0711:061,2007
|
10.1088/1126-6708/2007/11/061
| null |
hep-th
| null |
We give a manifest supersymmetric description of A and B branes on Kahler
manifolds using a completely local N=2 superspace formulation of the
world-sheet nonlinear sigma-model in the presence of a boundary. In particular,
we show that an N=2 superspace description of type A boundaries is possible, at
least when the background is Kahler. This leads to an elegant and concrete
setting for studying coisotropic A branes. Here, apgesan important role is
played by the boundary potential, whose precise physical meaning remains to be
fully understood. Duality transformations relating A and B branes in the
presence of isometries are studied as well.
|
[
{
"created": "Mon, 24 Sep 2007 10:43:38 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Sevrin",
"A.",
""
],
[
"Staessens",
"W.",
""
],
[
"Wijns",
"A.",
""
]
] |
We give a manifest supersymmetric description of A and B branes on Kahler manifolds using a completely local N=2 superspace formulation of the world-sheet nonlinear sigma-model in the presence of a boundary. In particular, we show that an N=2 superspace description of type A boundaries is possible, at least when the background is Kahler. This leads to an elegant and concrete setting for studying coisotropic A branes. Here, apgesan important role is played by the boundary potential, whose precise physical meaning remains to be fully understood. Duality transformations relating A and B branes in the presence of isometries are studied as well.
| 11.932605
| 11.843885
| 15.070609
| 11.57338
| 12.789664
| 11.563232
| 12.423993
| 11.847848
| 12.517355
| 15.742496
| 11.271589
| 10.987435
| 12.923643
| 11.326365
| 11.019068
| 11.141963
| 10.93296
| 10.982561
| 11.383267
| 12.11453
| 11.281806
|
2104.14387
|
Jarah Evslin
|
Jarah Evslin
|
Evidence for the Unbinding of the $\phi^4$ Kink's Shape Mode
|
8 pages, 1 figure, v2: Refs added
| null | null | null |
hep-th nlin.PS
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The $\phi^4$ double-well theory admits a kink solution, whose rich
phenomenology is strongly affected by the existence of a single bound
excitation called the shape mode. We find that the leading quantum correction
to the energy needed to excite the shape mode is $-0.115567\lambda/m$ in terms
of the coupling $\lambda/4$ and the meson mass $m$ evaluated at the minimum of
the potential. On the other hand, the correction to the continuum threshold is
$-0.433\lambda/m$. A naive extrapolation to finite coupling then suggests that
the shape mode melts into the continuum at the modest coupling of
$\lambda/4\sim 0.106 m^2$, where the $\mathbb{Z}_2$ symmetry is still broken.
|
[
{
"created": "Thu, 29 Apr 2021 14:58:23 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Apr 2021 07:40:07 GMT",
"version": "v2"
}
] |
2021-05-03
|
[
[
"Evslin",
"Jarah",
""
]
] |
The $\phi^4$ double-well theory admits a kink solution, whose rich phenomenology is strongly affected by the existence of a single bound excitation called the shape mode. We find that the leading quantum correction to the energy needed to excite the shape mode is $-0.115567\lambda/m$ in terms of the coupling $\lambda/4$ and the meson mass $m$ evaluated at the minimum of the potential. On the other hand, the correction to the continuum threshold is $-0.433\lambda/m$. A naive extrapolation to finite coupling then suggests that the shape mode melts into the continuum at the modest coupling of $\lambda/4\sim 0.106 m^2$, where the $\mathbb{Z}_2$ symmetry is still broken.
| 9.441766
| 8.540125
| 9.994287
| 8.012063
| 7.718915
| 7.576914
| 7.963563
| 7.998684
| 7.739438
| 9.982339
| 7.860887
| 8.342433
| 8.957215
| 8.600929
| 8.253009
| 8.474318
| 8.351643
| 8.301209
| 8.404442
| 9.271122
| 8.407095
|
1704.07931
|
Ruth Britto
|
Samuel Abreu, Ruth Britto, Claude Duhr, Einan Gardi
|
Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case
|
76 pages. v2: Remarks added for clarification, typos corrected.
Supersedes published version
|
JHEP 1712 (2017) 090
|
10.1007/JHEP12(2017)090
|
CERN-TH-2017-092, CP3-17-11, Edinburgh 2017/09, FR-PHENO-2017-010,
TCDMATH-17-09
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct a diagrammatic coaction acting on one-loop Feynman graphs and
their cuts. The graphs are naturally identified with the corresponding (cut)
Feynman integrals in dimensional regularization, whose coefficients of the
Laurent expansion in the dimensional regulator are multiple polylogarithms
(MPLs). Our main result is the conjecture that this diagrammatic coaction
reproduces the combinatorics of the coaction on MPLs order by order in the
Laurent expansion. We show that our conjecture holds in a broad range of
nontrivial one-loop integrals. We then explore its consequences for the study
of discontinuities of Feynman integrals, and the differential equations that
they satisfy. In particular, using the diagrammatic coaction along with
information from cuts, we explicitly derive differential equations for any
one-loop Feynman integral. We also explain how to construct the symbol of any
one-loop Feynman integral recursively. Finally, we show that our diagrammatic
coaction follows, in the special case of one-loop integrals, from a more
general coaction proposed recently, which is constructed by pairing master
integrands with corresponding master contours.
|
[
{
"created": "Tue, 25 Apr 2017 23:34:17 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Feb 2018 15:20:18 GMT",
"version": "v2"
}
] |
2018-02-02
|
[
[
"Abreu",
"Samuel",
""
],
[
"Britto",
"Ruth",
""
],
[
"Duhr",
"Claude",
""
],
[
"Gardi",
"Einan",
""
]
] |
We construct a diagrammatic coaction acting on one-loop Feynman graphs and their cuts. The graphs are naturally identified with the corresponding (cut) Feynman integrals in dimensional regularization, whose coefficients of the Laurent expansion in the dimensional regulator are multiple polylogarithms (MPLs). Our main result is the conjecture that this diagrammatic coaction reproduces the combinatorics of the coaction on MPLs order by order in the Laurent expansion. We show that our conjecture holds in a broad range of nontrivial one-loop integrals. We then explore its consequences for the study of discontinuities of Feynman integrals, and the differential equations that they satisfy. In particular, using the diagrammatic coaction along with information from cuts, we explicitly derive differential equations for any one-loop Feynman integral. We also explain how to construct the symbol of any one-loop Feynman integral recursively. Finally, we show that our diagrammatic coaction follows, in the special case of one-loop integrals, from a more general coaction proposed recently, which is constructed by pairing master integrands with corresponding master contours.
| 5.220923
| 6.147888
| 6.392302
| 5.822626
| 6.032259
| 5.979147
| 5.840389
| 5.603386
| 5.413527
| 6.98629
| 5.890769
| 5.675513
| 5.799997
| 5.653078
| 5.388742
| 5.818933
| 5.626987
| 5.511717
| 5.519394
| 5.921877
| 5.626602
|
hep-th/9707159
|
Andre Leclair
|
A. LeClair, A. Ludwig, and G. Mussardo
|
Integrability of Coupled Conformal Field Theories
|
23 pages, four figures
|
Nucl.Phys. B512 (1998) 523-542
|
10.1016/S0550-3213(97)00724-4
|
ITP/97-081, ISAS/90/97/EP
|
hep-th cond-mat
| null |
The massive phase of two-layer integrable systems is studied by means of RSOS
restrictions of affine Toda theories. A general classification of all possible
integrable perturbations of coupled minimal models is pursued by an analysis of
the (extended) Dynkin diagrams. The models considered in most detail are
coupled minimal models which interpolate between magnetically coupled Ising
models and Heisenberg spin-ladders along the $c<1$ discrete series.
|
[
{
"created": "Thu, 17 Jul 1997 23:19:08 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Jul 1997 20:34:58 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"LeClair",
"A.",
""
],
[
"Ludwig",
"A.",
""
],
[
"Mussardo",
"G.",
""
]
] |
The massive phase of two-layer integrable systems is studied by means of RSOS restrictions of affine Toda theories. A general classification of all possible integrable perturbations of coupled minimal models is pursued by an analysis of the (extended) Dynkin diagrams. The models considered in most detail are coupled minimal models which interpolate between magnetically coupled Ising models and Heisenberg spin-ladders along the $c<1$ discrete series.
| 20.69729
| 14.788704
| 23.592487
| 16.624346
| 16.940908
| 15.626793
| 16.374249
| 16.46312
| 15.585203
| 26.223181
| 15.087945
| 16.58515
| 19.904329
| 17.668085
| 16.559837
| 16.630888
| 16.412939
| 15.668166
| 17.018387
| 19.324026
| 16.478497
|
hep-th/0101119
|
Gukov Sergei Gennodievich
|
Klaus Behrndt, Sergei Gukov, Marina Shmakova
|
Domain Walls, Black Holes, and Supersymmetric Quantum Mechanics
|
35 pages, added references and corrections, version to appear in NPB
|
Nucl.Phys. B601 (2001) 49-76
|
10.1016/S0550-3213(01)00052-9
|
ITEP-TH-71/00, CALT 68-2306, CITUSC/00-062, HU-EP-00/54,
SLAC-PUB-8749
|
hep-th
| null |
Supersymmetric solutions, such as BPS domain walls or black holes, in four-
and five-dimensional supergravity theories with eight supercharges can be
described by effective quantum mechanics with a potential term. We show how
properties of the latter theory can help us to learn about the physics of
supersymmetric vacua and BPS solutions in these supergravity theories. The
general approach is illustrated in a number of specific examples where scalar
fields of matter multiplets take values in symmetric coset spaces.
|
[
{
"created": "Wed, 17 Jan 2001 23:53:14 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Jan 2001 00:02:28 GMT",
"version": "v2"
},
{
"created": "Mon, 12 Mar 2001 07:36:48 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Behrndt",
"Klaus",
""
],
[
"Gukov",
"Sergei",
""
],
[
"Shmakova",
"Marina",
""
]
] |
Supersymmetric solutions, such as BPS domain walls or black holes, in four- and five-dimensional supergravity theories with eight supercharges can be described by effective quantum mechanics with a potential term. We show how properties of the latter theory can help us to learn about the physics of supersymmetric vacua and BPS solutions in these supergravity theories. The general approach is illustrated in a number of specific examples where scalar fields of matter multiplets take values in symmetric coset spaces.
| 9.152047
| 8.409545
| 10.963583
| 8.629174
| 8.700373
| 8.708659
| 8.499776
| 7.797296
| 8.328029
| 10.680475
| 8.400884
| 8.659225
| 10.226555
| 8.707183
| 8.659247
| 8.525427
| 8.290469
| 8.220378
| 8.665214
| 10.587008
| 8.199806
|
1805.06949
|
Jiahua Tian
|
Antonella Grassi, James Halverson, Cody Long, Julius L. Shaneson and
Jiahua Tian
|
Non-simply-laced Symmetry Algebras in F-theory on Singular Spaces
| null | null |
10.1007/JHEP09(2018)129
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We demonstrate how non-simply-laced gauge and flavor symmetries arise in
F-theory on spaces with non-isolated singularities. The breaking from a
simply-laced symmetry to one that is non-simply-laced is induced by Calabi-Yau
complex structure deformation. In all examples the deformation maintains
non-isolated singularities but is accompanied by a splitting of an I1
seven-brane that opens new loops in the geometry near a non-abelian
seven-brane. The splitting also arises in the moduli space of a probe D3-brane,
which upon traversing the new loop experiences a monodromy that acts on 3-7
string junctions on the singular space. The monodromy reduces the symmetry
algebra, which is the flavor symmetry of the D3-brane and the gauge symmetry of
the seven-brane, to one that is non-simply-laced. A collision of the D3-brane
with the seven-brane gives rise to a 4d N = 1 SCFT with a non-simply-laced
flavor symmetry.
|
[
{
"created": "Thu, 17 May 2018 20:02:02 GMT",
"version": "v1"
},
{
"created": "Mon, 21 May 2018 12:19:25 GMT",
"version": "v2"
}
] |
2018-10-17
|
[
[
"Grassi",
"Antonella",
""
],
[
"Halverson",
"James",
""
],
[
"Long",
"Cody",
""
],
[
"Shaneson",
"Julius L.",
""
],
[
"Tian",
"Jiahua",
""
]
] |
We demonstrate how non-simply-laced gauge and flavor symmetries arise in F-theory on spaces with non-isolated singularities. The breaking from a simply-laced symmetry to one that is non-simply-laced is induced by Calabi-Yau complex structure deformation. In all examples the deformation maintains non-isolated singularities but is accompanied by a splitting of an I1 seven-brane that opens new loops in the geometry near a non-abelian seven-brane. The splitting also arises in the moduli space of a probe D3-brane, which upon traversing the new loop experiences a monodromy that acts on 3-7 string junctions on the singular space. The monodromy reduces the symmetry algebra, which is the flavor symmetry of the D3-brane and the gauge symmetry of the seven-brane, to one that is non-simply-laced. A collision of the D3-brane with the seven-brane gives rise to a 4d N = 1 SCFT with a non-simply-laced flavor symmetry.
| 7.670815
| 7.500584
| 8.537993
| 7.444586
| 7.992965
| 7.736838
| 7.87444
| 7.167847
| 7.216185
| 9.04951
| 7.221689
| 7.50765
| 7.433234
| 7.340023
| 7.21803
| 7.150278
| 7.39854
| 7.216016
| 7.0478
| 7.493477
| 7.329595
|
hep-th/0311036
|
DaeKil Park
|
Eylee Jung, Sung-Hoon Kim, D. K. Park
|
Absorption Cross Section for S-wave massive Scalar
|
14 pages, 2 postscript figures included, v2 calculation for $b=2c$
case is improved using Coulomb wave function. References are added V3 The
format of paper is changed as a letter form. Version to appear in PLB
|
Phys.Lett. B586 (2004) 390-396
|
10.1016/j.physletb.2004.02.001
| null |
hep-th
| null |
We examine the absorption cross section of the massive scalar field for the
higher-dimensional extended object. Adopting the usual quantum mechanical
matching conditions between the asymptotic and near-horizon solutions in radial
equation, we check whether or not the universal property of the absorption
cross section, which is that the low-energy cross section is proportional to
the surface area of horizon, is maintained when the mass effect is involved. It
is found that the mass effect in general does not break the universal property
of the cross section if particular conditions are required to the spacetime
geometry. However, the mass-dependence of the cross section is very sensitive
to the spacetime property in the near-horizon regime.
|
[
{
"created": "Wed, 5 Nov 2003 08:28:13 GMT",
"version": "v1"
},
{
"created": "Sun, 28 Dec 2003 07:21:28 GMT",
"version": "v2"
},
{
"created": "Wed, 4 Feb 2004 08:09:51 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Jung",
"Eylee",
""
],
[
"Kim",
"Sung-Hoon",
""
],
[
"Park",
"D. K.",
""
]
] |
We examine the absorption cross section of the massive scalar field for the higher-dimensional extended object. Adopting the usual quantum mechanical matching conditions between the asymptotic and near-horizon solutions in radial equation, we check whether or not the universal property of the absorption cross section, which is that the low-energy cross section is proportional to the surface area of horizon, is maintained when the mass effect is involved. It is found that the mass effect in general does not break the universal property of the cross section if particular conditions are required to the spacetime geometry. However, the mass-dependence of the cross section is very sensitive to the spacetime property in the near-horizon regime.
| 10.270536
| 9.015491
| 9.322321
| 8.663483
| 9.433826
| 9.188492
| 9.254263
| 8.737962
| 8.556885
| 10.385279
| 8.33714
| 8.569264
| 8.717552
| 8.570207
| 8.836183
| 8.739468
| 9.171838
| 8.429031
| 8.966928
| 8.988314
| 8.627683
|
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