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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2203.12286
|
Javier Relancio
|
S. A. Franchino-Vi\~nas, J.J. Relancio
|
Geometrizing the Klein-Gordon and Dirac equations in Doubly Special
Relativity
|
18 pages
| null |
10.1088/1361-6382/acb4d4
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we discuss the deformed relativistic wave equations, namely the
Klein--Gordon and Dirac equations in a Doubly Special Relativity scenario. We
employ what we call a geometric approach, based on the geometry of a curved
momentum space, which should be seen as complementary to the more spread
algebraic one. In this frame we are able to rederive well-known algebraic
expressions, as well as to treat yet unresolved issues, to wit, the explicit
relation between both equations, the discrete symmetries for Dirac particles,
the fate of covariance, and the formal definition of a Hilbert space for the
Klein--Gordon case.
|
[
{
"created": "Wed, 23 Mar 2022 09:10:40 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Jul 2022 13:51:33 GMT",
"version": "v2"
}
] |
2023-02-15
|
[
[
"Franchino-Viñas",
"S. A.",
""
],
[
"Relancio",
"J. J.",
""
]
] |
In this work we discuss the deformed relativistic wave equations, namely the Klein--Gordon and Dirac equations in a Doubly Special Relativity scenario. We employ what we call a geometric approach, based on the geometry of a curved momentum space, which should be seen as complementary to the more spread algebraic one. In this frame we are able to rederive well-known algebraic expressions, as well as to treat yet unresolved issues, to wit, the explicit relation between both equations, the discrete symmetries for Dirac particles, the fate of covariance, and the formal definition of a Hilbert space for the Klein--Gordon case.
| 12.058626
| 10.811172
| 9.901335
| 9.80546
| 11.415612
| 11.204001
| 11.223722
| 10.125296
| 10.364436
| 11.837687
| 10.493466
| 10.783956
| 10.858294
| 10.675378
| 11.328989
| 10.677577
| 10.308264
| 10.886076
| 10.290652
| 10.947587
| 10.880925
|
1806.09647
|
Eduardo Gonzalo-Badia
|
Eduardo Gonzalo and Luis E. Ib\'a\~nez
|
The Fundamental Need for a SM Higgs and the Weak Gravity Conjecture
|
11 pages, 3 figures
| null |
10.1016/j.physletb.2018.09.034
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Compactifying the SM down to 3D or 2D one may obtain AdS vacua depending on
the neutrino mass spectrum. It has been recently shown that, by insisting in
the absence of these vacua, as suggested by {\it Weak Gravity Conjecture} (WGC)
arguments, intriguing constraints on the value of the lightest neutrino mass
and the 4D cosmological constant are obtained. For fixed Yukawa coupling one
also obtains an upper bound on the EW scale $\left\langle
H\right\rangle\lesssim {\Lambda_4^{1/4}} /{Y_{\nu_{i}}}$,where $\Lambda_4$ is
the 4D cosmological constant and $Y_{\nu_{i}}$ the Yukawa coupling of the
lightest (Dirac) neutrino. This bound may lead to a reassessment of the gauge
hierarchy problem. In this letter, following the same line of arguments, we
point out that the SM without a Higgs field would give rise to new AdS lower
dimensional vacua. Absence of latter would require the very existence of the SM
Higgs. Furthermore one can derive a lower bound on the Higgs vev $\left\langle
H\right\rangle\gtrsim \Lambda_{\text{QCD}}$ which is required by the absence of
AdS vacua in lower dimensions. The lowest number of quark/lepton generations in
which this need for a Higgs applies is three, giving a justification for family
replication. We also reassess the connection between the EW scale, neutrino
masses and the c.c. in this approach. The EW fine-tuning is here related to the
proximity between the c.c. scale $\Lambda_4^{1/4}$ and the lightest neutrino
mass $m_{\nu_i}$ by the expression $ \frac {\Delta H}{H} \lesssim \frac
{(a\Lambda_4^ {1/4} -m_{\nu_i})} {m_{\nu_i}}. $ We emphasize that all the above
results rely on the assumption of the stability of the AdS SM vacua found.
|
[
{
"created": "Mon, 25 Jun 2018 18:05:50 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Jul 2018 16:36:35 GMT",
"version": "v2"
},
{
"created": "Sun, 25 Nov 2018 12:29:32 GMT",
"version": "v3"
}
] |
2018-11-27
|
[
[
"Gonzalo",
"Eduardo",
""
],
[
"Ibáñez",
"Luis E.",
""
]
] |
Compactifying the SM down to 3D or 2D one may obtain AdS vacua depending on the neutrino mass spectrum. It has been recently shown that, by insisting in the absence of these vacua, as suggested by {\it Weak Gravity Conjecture} (WGC) arguments, intriguing constraints on the value of the lightest neutrino mass and the 4D cosmological constant are obtained. For fixed Yukawa coupling one also obtains an upper bound on the EW scale $\left\langle H\right\rangle\lesssim {\Lambda_4^{1/4}} /{Y_{\nu_{i}}}$,where $\Lambda_4$ is the 4D cosmological constant and $Y_{\nu_{i}}$ the Yukawa coupling of the lightest (Dirac) neutrino. This bound may lead to a reassessment of the gauge hierarchy problem. In this letter, following the same line of arguments, we point out that the SM without a Higgs field would give rise to new AdS lower dimensional vacua. Absence of latter would require the very existence of the SM Higgs. Furthermore one can derive a lower bound on the Higgs vev $\left\langle H\right\rangle\gtrsim \Lambda_{\text{QCD}}$ which is required by the absence of AdS vacua in lower dimensions. The lowest number of quark/lepton generations in which this need for a Higgs applies is three, giving a justification for family replication. We also reassess the connection between the EW scale, neutrino masses and the c.c. in this approach. The EW fine-tuning is here related to the proximity between the c.c. scale $\Lambda_4^{1/4}$ and the lightest neutrino mass $m_{\nu_i}$ by the expression $ \frac {\Delta H}{H} \lesssim \frac {(a\Lambda_4^ {1/4} -m_{\nu_i})} {m_{\nu_i}}. $ We emphasize that all the above results rely on the assumption of the stability of the AdS SM vacua found.
| 7.089349
| 7.102715
| 7.097655
| 6.758014
| 6.80016
| 7.178358
| 6.972025
| 6.906792
| 6.746291
| 7.291713
| 6.708431
| 6.664578
| 6.694766
| 6.751863
| 6.765975
| 6.698744
| 6.760829
| 6.887911
| 6.797517
| 6.977282
| 6.717478
|
hep-th/0506235
|
Brian Feldstein
|
Brian Feldstein, Lawrence J. Hall, and Taizan Watari
|
Density Perturbations and the Cosmological Constant from Inflationary
Landscapes
|
23 pages
|
Phys.Rev.D72:123506,2005
|
10.1103/PhysRevD.72.123506
| null |
hep-th astro-ph
| null |
An anthropic understanding of the cosmological constant requires that the
vacuum energy at late time scans from one patch of the universe to another. If
the vacuum energy during inflation also scans, the various patches of the
universe acquire exponentially differing volumes. In a generic landscape with
slow-roll inflation, we find that this gives a steeply varying probability
distribution for the normalization of the primordial density perturbations,
resulting in an exponentially small fraction of observers measuring the COBE
value of 10^-5. Inflationary landscapes should avoid this "\sigma problem", and
we explore features that can allow them to do that. One possibility is that,
prior to slow-roll inflation, the probability distribution for vacua is
extremely sharply peaked, selecting essentially a single anthropically allowed
vacuum. Such a selection could occur in theories of eternal inflation. A second
possibility is that the inflationary landscape has a special property: although
scanning leads to patches with volumes that differ exponentially, the value of
the density perturbation does not vary under this scanning. This second case is
preferred over the first, partly because a flat inflaton potential can result
from anthropic selection, and partly because the anthropic selection of a small
cosmological constant is more successful.
|
[
{
"created": "Mon, 27 Jun 2005 23:13:46 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Feldstein",
"Brian",
""
],
[
"Hall",
"Lawrence J.",
""
],
[
"Watari",
"Taizan",
""
]
] |
An anthropic understanding of the cosmological constant requires that the vacuum energy at late time scans from one patch of the universe to another. If the vacuum energy during inflation also scans, the various patches of the universe acquire exponentially differing volumes. In a generic landscape with slow-roll inflation, we find that this gives a steeply varying probability distribution for the normalization of the primordial density perturbations, resulting in an exponentially small fraction of observers measuring the COBE value of 10^-5. Inflationary landscapes should avoid this "\sigma problem", and we explore features that can allow them to do that. One possibility is that, prior to slow-roll inflation, the probability distribution for vacua is extremely sharply peaked, selecting essentially a single anthropically allowed vacuum. Such a selection could occur in theories of eternal inflation. A second possibility is that the inflationary landscape has a special property: although scanning leads to patches with volumes that differ exponentially, the value of the density perturbation does not vary under this scanning. This second case is preferred over the first, partly because a flat inflaton potential can result from anthropic selection, and partly because the anthropic selection of a small cosmological constant is more successful.
| 11.475835
| 11.645073
| 11.139094
| 10.604743
| 11.379858
| 12.581894
| 12.157179
| 12.307445
| 10.459036
| 11.889915
| 11.545552
| 10.976151
| 10.831357
| 10.441144
| 10.729108
| 11.170464
| 10.798821
| 10.871965
| 10.518184
| 11.310297
| 10.783889
|
1710.05962
|
Oscar Fuentealba
|
Cristi\'an Erices, Oscar Fuentealba, Miguel Riquelme
|
Electrically charged black hole on AdS$_3$: scale invariance and the
Smarr formula
|
14 pages, no figures
|
Phys. Rev. D 97, 024037 (2018)
|
10.1103/PhysRevD.97.024037
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Einstein-Maxwell theory with negative cosmological constant in three
spacetime dimensions is considered. It is shown that the Smarr relation for the
electrically charged BTZ black hole emerges from two different approaches based
on the scaling symmetry of the asymptotic behaviour of the fields at infinity.
In the first approach, we prove that the conservation law associated to the
scale invariance of the action for a class of stationary and circularly
symmetric configurations, allows to obtain the Smarr formula as long as a
special set of holographic boundary conditions is satisfied. This particular
set is singled out making the integrability conditions for the energy
compatible with the scale invariance of the reduced action. In the second
approach, it is explicitly shown that the Smarr formula is recovered through
the Euler theorem for homogeneous functions, provided the same set of
holographic boundary conditions is fulfilled.
|
[
{
"created": "Mon, 16 Oct 2017 18:53:06 GMT",
"version": "v1"
}
] |
2018-01-31
|
[
[
"Erices",
"Cristián",
""
],
[
"Fuentealba",
"Oscar",
""
],
[
"Riquelme",
"Miguel",
""
]
] |
The Einstein-Maxwell theory with negative cosmological constant in three spacetime dimensions is considered. It is shown that the Smarr relation for the electrically charged BTZ black hole emerges from two different approaches based on the scaling symmetry of the asymptotic behaviour of the fields at infinity. In the first approach, we prove that the conservation law associated to the scale invariance of the action for a class of stationary and circularly symmetric configurations, allows to obtain the Smarr formula as long as a special set of holographic boundary conditions is satisfied. This particular set is singled out making the integrability conditions for the energy compatible with the scale invariance of the reduced action. In the second approach, it is explicitly shown that the Smarr formula is recovered through the Euler theorem for homogeneous functions, provided the same set of holographic boundary conditions is fulfilled.
| 7.017769
| 6.513036
| 7.069884
| 6.286659
| 6.893266
| 6.680186
| 6.648452
| 6.410184
| 6.731979
| 7.373728
| 6.421548
| 6.784389
| 6.749172
| 6.744207
| 6.664852
| 6.73789
| 6.566862
| 6.54282
| 6.538248
| 7.003516
| 6.68727
|
2210.05949
|
Norton Lee
|
Taro Kimura, Norton Lee
|
Defect in Gauge Theory and Quantum Hall States
|
44 pages, 2 figures, add citations
|
Nucl. Phys. B 991 (2023) 116218
|
10.1016/j.nuclphysb.2023.116218
|
CGP22038
|
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We study the surface defect in $\mathcal{N}=2^*$ $U(N)$ gauge theory in four
dimensions and its relation to quantum Hall states in two dimensions. We first
prove that the defect partition function becomes the Jack polynomial of the
variables describing the brane positions by imposing the Higgsing condition and
taking the bulk decoupling limit. Further tuning the adjoint mass parameter, we
may obtain various fractional quantum Hall states, including Laughlin,
Moore-Read, and Read-Rezayi states, due to the admissible condition of the Jack
polynomial.
|
[
{
"created": "Wed, 12 Oct 2022 06:29:18 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Nov 2022 23:15:58 GMT",
"version": "v2"
},
{
"created": "Wed, 22 Mar 2023 00:46:51 GMT",
"version": "v3"
}
] |
2024-02-23
|
[
[
"Kimura",
"Taro",
""
],
[
"Lee",
"Norton",
""
]
] |
We study the surface defect in $\mathcal{N}=2^*$ $U(N)$ gauge theory in four dimensions and its relation to quantum Hall states in two dimensions. We first prove that the defect partition function becomes the Jack polynomial of the variables describing the brane positions by imposing the Higgsing condition and taking the bulk decoupling limit. Further tuning the adjoint mass parameter, we may obtain various fractional quantum Hall states, including Laughlin, Moore-Read, and Read-Rezayi states, due to the admissible condition of the Jack polynomial.
| 10.184166
| 8.43104
| 11.136582
| 8.607719
| 8.658911
| 9.937879
| 8.715318
| 8.951531
| 8.564794
| 12.076187
| 8.775123
| 9.214157
| 9.701773
| 8.756683
| 8.710485
| 8.869534
| 8.764152
| 9.216591
| 8.944543
| 9.901467
| 8.983888
|
hep-th/0701265
|
Aurelien Barrau
|
J. Grain, A. Barrau
|
Quantum Bound States Around Black Holes
|
5 pages, 6 figures
|
Eur.Phys.J.C53:641-648,2008
|
10.1140/epjc/s10052-007-0494-1
| null |
hep-th astro-ph gr-qc hep-ph quant-ph
| null |
Quantum mechanics around black holes has shown to be one of the most
fascinating fields of theoretical physics. It involves both general relativity
and particle physics, opening new eras to establish the principles of unified
theories. In this article, we show that quantum bound states with no classical
equivalent -- as it can easily be seen at the dominant monopolar order --
should be formed around black holes for massive scalar particles. We
qualitatively investigate some important physical consequences, in particular
for the Hawking evaporation mechanism and the associated greybody factors.
|
[
{
"created": "Mon, 29 Jan 2007 16:09:01 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Dec 2007 15:14:33 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Grain",
"J.",
""
],
[
"Barrau",
"A.",
""
]
] |
Quantum mechanics around black holes has shown to be one of the most fascinating fields of theoretical physics. It involves both general relativity and particle physics, opening new eras to establish the principles of unified theories. In this article, we show that quantum bound states with no classical equivalent -- as it can easily be seen at the dominant monopolar order -- should be formed around black holes for massive scalar particles. We qualitatively investigate some important physical consequences, in particular for the Hawking evaporation mechanism and the associated greybody factors.
| 17.389395
| 19.83674
| 16.979496
| 16.512115
| 16.960669
| 18.2015
| 18.677246
| 17.126928
| 16.65032
| 17.348913
| 17.652414
| 17.413988
| 16.482433
| 16.809729
| 16.754414
| 16.52545
| 17.210096
| 16.094624
| 16.67934
| 16.586542
| 16.774302
|
1005.2726
|
Tsuguo Mogami
|
Tsuguo Mogami
|
Quantization of Nambu-Goto Action in Four Dimensions
|
19 pages, 2 figures, appendix B added to answer common question,
several paragraphs added for easier understainding
| null | null | null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently, a new quantization method for gauge theories was proposed, in which
no gauge fixing is required but the constraints are kept. Here we successfully
applied this formalism to Nambu-Goto action in any dimensions. The result of
our theoretical calculation have shown striking agreement with the spectrum of
the light-quark mesons.
|
[
{
"created": "Sun, 16 May 2010 06:59:24 GMT",
"version": "v1"
},
{
"created": "Sun, 7 Nov 2010 21:34:25 GMT",
"version": "v2"
}
] |
2010-11-09
|
[
[
"Mogami",
"Tsuguo",
""
]
] |
Recently, a new quantization method for gauge theories was proposed, in which no gauge fixing is required but the constraints are kept. Here we successfully applied this formalism to Nambu-Goto action in any dimensions. The result of our theoretical calculation have shown striking agreement with the spectrum of the light-quark mesons.
| 16.081341
| 13.698002
| 14.43639
| 12.446961
| 12.557128
| 13.676213
| 14.452067
| 13.667178
| 13.273331
| 15.299099
| 12.925708
| 12.751502
| 13.52901
| 13.170159
| 12.57902
| 12.849706
| 12.875861
| 12.767479
| 12.528223
| 13.083314
| 12.850971
|
2311.10818
|
Kristan Jensen
|
Kristan Jensen, Amir Raz
|
Fractional Hall physics from large $N$ interacting fermions
|
7 pages, 4 figures
| null | null |
UTWI-41-2023
|
hep-th cond-mat.mes-hall cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We solve models of $N$ species of fermions in the lowest Landau level with
$U(N)$-invariant interactions in the $N\gg 1$ limit. We find saddles of the
second quantized path integral at fixed chemical potential corresponding to
fractional Hall states with filling $ \frac{p}{q}$ where the integers $p$ and
$q$ depend on the chemical potential and interactions. On a long torus there
are $q$ such states related by translation symmetry, and $SU(N)$-invariant
excitations of fractional charge. Remarkably, these saddles and their filling
persist as extrema of the second-quantized action at $N=1$. Our construction
gives a first-principles derivation of fractional Hall states from strongly
interacting fermions.
|
[
{
"created": "Fri, 17 Nov 2023 19:00:08 GMT",
"version": "v1"
}
] |
2023-11-21
|
[
[
"Jensen",
"Kristan",
""
],
[
"Raz",
"Amir",
""
]
] |
We solve models of $N$ species of fermions in the lowest Landau level with $U(N)$-invariant interactions in the $N\gg 1$ limit. We find saddles of the second quantized path integral at fixed chemical potential corresponding to fractional Hall states with filling $ \frac{p}{q}$ where the integers $p$ and $q$ depend on the chemical potential and interactions. On a long torus there are $q$ such states related by translation symmetry, and $SU(N)$-invariant excitations of fractional charge. Remarkably, these saddles and their filling persist as extrema of the second-quantized action at $N=1$. Our construction gives a first-principles derivation of fractional Hall states from strongly interacting fermions.
| 10.519076
| 10.046615
| 10.075286
| 9.706381
| 9.859169
| 10.273521
| 9.10189
| 9.662485
| 9.452433
| 10.898251
| 9.102977
| 8.932485
| 9.902168
| 9.051812
| 9.085383
| 9.002271
| 9.058797
| 9.115567
| 9.356569
| 10.395229
| 9.322179
|
2206.03516
|
Yulia Ageeva
|
Y. Ageeva, P. Petrov
|
Unitarity relation and unitarity bounds for scalars with different sound
speeds
|
18 pages, 2 figures
| null | null |
INR-TH-2022-011
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Motivated by scalar-tensor gravities, we consider a theory which contains
massless scalar fields with different sound speeds. We derive unitarity
relations for partial wave amplitudes of $2 \to 2$ scattering, with explicit
formulas for contributions of two-particle intermediate states. Making use of
these relations, we obtain unitarity bounds both in the most general case and
in the case considered in literature for unit sound speed. These bounds can be
used for estimating the strong coupling scale of a pertinent EFT. We illustrate
our unitarity relations by explicit calculation to the first non-trivial order
in couplings in a simple model of two scalar fields with different sound
speeds.
|
[
{
"created": "Tue, 7 Jun 2022 18:01:11 GMT",
"version": "v1"
}
] |
2022-06-09
|
[
[
"Ageeva",
"Y.",
""
],
[
"Petrov",
"P.",
""
]
] |
Motivated by scalar-tensor gravities, we consider a theory which contains massless scalar fields with different sound speeds. We derive unitarity relations for partial wave amplitudes of $2 \to 2$ scattering, with explicit formulas for contributions of two-particle intermediate states. Making use of these relations, we obtain unitarity bounds both in the most general case and in the case considered in literature for unit sound speed. These bounds can be used for estimating the strong coupling scale of a pertinent EFT. We illustrate our unitarity relations by explicit calculation to the first non-trivial order in couplings in a simple model of two scalar fields with different sound speeds.
| 10.389927
| 11.561245
| 8.94521
| 10.077256
| 11.451805
| 10.718072
| 10.847292
| 9.767503
| 9.225679
| 11.07212
| 9.791879
| 10.085792
| 9.917556
| 9.733378
| 10.096914
| 10.038218
| 9.977724
| 9.810369
| 9.882992
| 9.681357
| 9.897485
|
hep-th/0410095
|
Qing-Guo Huang
|
Qing-Guo Huang and Miao Li
|
Anthropic Principle Favors the Holographic Dark Energy
|
10 Pages; added some clarificaions; Accepted for publicaion in JCAP
|
JCAP 0503 (2005) 001
|
10.1088/1475-7516/2005/03/001
| null |
hep-th astro-ph gr-qc
| null |
We discuss the anthropic principle when applied to the holographic dark
energy. We find that if the amplitude of the density fluctution is variable,
the holographic dark energy fares better than the cosmological constant. More
generally, the anthropic predictions agree better with observation for dark
energy with $w_\d=p_\d/\rho_\d$ decreasing over time.
|
[
{
"created": "Sat, 9 Oct 2004 12:04:32 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Mar 2005 10:45:29 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Huang",
"Qing-Guo",
""
],
[
"Li",
"Miao",
""
]
] |
We discuss the anthropic principle when applied to the holographic dark energy. We find that if the amplitude of the density fluctution is variable, the holographic dark energy fares better than the cosmological constant. More generally, the anthropic predictions agree better with observation for dark energy with $w_\d=p_\d/\rho_\d$ decreasing over time.
| 14.091196
| 13.121423
| 12.198195
| 12.338047
| 14.309109
| 14.103541
| 12.605539
| 14.033249
| 12.316447
| 13.682093
| 13.319839
| 13.901893
| 13.402201
| 13.323721
| 13.355541
| 13.983646
| 13.624895
| 13.879154
| 12.830144
| 13.13943
| 12.840882
|
2311.04281
|
Netta Engelhardt
|
Netta Engelhardt and Hong Liu
|
Algebraic ER=EPR and Complexity Transfer
|
40+6 pages, 16 figures; v2: added references and updated discussion
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose an algebraic definition of ER=EPR in the $G_N \to 0$ limit, which
associates bulk spacetime connectivity/disconnectivity to the operator
algebraic structure of a quantum gravity system. The new formulation not only
includes information on the amount of entanglement, but also more importantly
the structure of entanglement. We give an independent definition of a quantum
wormhole as part of the proposal. This algebraic version of ER=EPR sheds light
on a recent puzzle regarding spacetime disconnectivity in holographic systems
with ${\cal O}(1/G_{N})$ entanglement. We discuss the emergence of quantum
connectivity in the context of black hole evaporation and further argue that at
the Page time, the black hole-radiation system undergoes a transition involving
the transfer of an emergent type III$_{1}$ subalgebra of high complexity
operators from the black hole to radiation. We argue this is a general
phenomenon that occurs whenever there is an exchange of dominance between two
competing quantum extremal surfaces.
|
[
{
"created": "Tue, 7 Nov 2023 19:00:05 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Dec 2023 18:14:47 GMT",
"version": "v2"
}
] |
2023-12-20
|
[
[
"Engelhardt",
"Netta",
""
],
[
"Liu",
"Hong",
""
]
] |
We propose an algebraic definition of ER=EPR in the $G_N \to 0$ limit, which associates bulk spacetime connectivity/disconnectivity to the operator algebraic structure of a quantum gravity system. The new formulation not only includes information on the amount of entanglement, but also more importantly the structure of entanglement. We give an independent definition of a quantum wormhole as part of the proposal. This algebraic version of ER=EPR sheds light on a recent puzzle regarding spacetime disconnectivity in holographic systems with ${\cal O}(1/G_{N})$ entanglement. We discuss the emergence of quantum connectivity in the context of black hole evaporation and further argue that at the Page time, the black hole-radiation system undergoes a transition involving the transfer of an emergent type III$_{1}$ subalgebra of high complexity operators from the black hole to radiation. We argue this is a general phenomenon that occurs whenever there is an exchange of dominance between two competing quantum extremal surfaces.
| 13.005664
| 12.384408
| 14.159166
| 11.350685
| 12.055305
| 11.792306
| 11.036485
| 11.280773
| 11.086899
| 14.523218
| 10.672759
| 10.608357
| 12.13986
| 11.413149
| 11.663431
| 11.787216
| 11.250387
| 11.143182
| 11.840154
| 11.866117
| 11.035929
|
hep-th/9412008
|
Jose M. Figueroa-O'Farrill
|
J.M. Figueroa-O'Farrill
|
N=2 structures on solvable Lie algebras: the c=9 classification
|
49 pages in 2 columns (=25 physical pages), (uufiles-gz-9)'d .dvi
file (uses AMSFonts 2.1+). Revision: Added 1 reference, corrected typos,
added some more material
|
Commun.Math.Phys. 177 (1996) 129-156
|
10.1007/BF02102433
|
QMW-PH-94-27
|
hep-th
| null |
Let G be a finite-dimensional Lie algebra (not necessarily semisimple). It is
known that if G is self-dual (that is, if it possesses an invariant metric)
then there is a canonical N=1 superconformal algebra associated to its N=1
affinization---that is, it admits an N=1 (affine) Sugawara construction. Under
certain additional hypotheses, this N=1 structure admits an N=2 extension. If
this is the case, G is said to possess an N=2 structure. It is also known that
an N=2 structure on a self-dual Lie algebra G is equivalent to a vector space
decomposition G = G_+ \oplus G_- where G_\pm are isotropic Lie subalgebras. In
other words, N=2 structures on G are in one-to-one correspondence with Manin
triples (G,G_+,G_-). In this paper we exploit this correspondence to obtain a
classification of the c=9 N=2 structures on self-dual solvable Lie algebras. In
the process we also give some simple proofs for a variety of Lie algebraic
results concerning self-dual Lie algebras admitting symplectic or K\"ahler
structures.
|
[
{
"created": "Thu, 1 Dec 1994 18:36:37 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Dec 1994 17:32:54 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Figueroa-O'Farrill",
"J. M.",
""
]
] |
Let G be a finite-dimensional Lie algebra (not necessarily semisimple). It is known that if G is self-dual (that is, if it possesses an invariant metric) then there is a canonical N=1 superconformal algebra associated to its N=1 affinization---that is, it admits an N=1 (affine) Sugawara construction. Under certain additional hypotheses, this N=1 structure admits an N=2 extension. If this is the case, G is said to possess an N=2 structure. It is also known that an N=2 structure on a self-dual Lie algebra G is equivalent to a vector space decomposition G = G_+ \oplus G_- where G_\pm are isotropic Lie subalgebras. In other words, N=2 structures on G are in one-to-one correspondence with Manin triples (G,G_+,G_-). In this paper we exploit this correspondence to obtain a classification of the c=9 N=2 structures on self-dual solvable Lie algebras. In the process we also give some simple proofs for a variety of Lie algebraic results concerning self-dual Lie algebras admitting symplectic or K\"ahler structures.
| 5.26835
| 5.295485
| 5.260643
| 5.160577
| 5.642547
| 5.70635
| 5.37344
| 5.160197
| 5.102929
| 6.002795
| 5.203146
| 5.086387
| 5.223923
| 4.969228
| 5.03201
| 5.016669
| 4.965946
| 5.08228
| 5.051373
| 5.163485
| 5.16612
|
2012.13094
|
Qinglin Yang
|
Song He, Zhenjie Li, Yichao Tang, Qinglin Yang
|
The Wilson-loop $d \log$ representation for Feynman integrals
|
34 pages, many figures. v3: alphabet of double-pentagon corrected
| null |
10.1007/JHEP05(2021)052
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We introduce and study the Wilson-loop ${\rm d}\log$ representation of
certain Feynman integrals for scattering amplitudes in ${\cal N}=4$ SYM and
beyond, which makes their evaluation completely straightforward. Such a
representation was motivated by the dual Wilson loop picture, and it can also
be derived by partial Feynman parametrization of loop integrals. We first
introduce it for the simplest one-loop examples, the chiral pentagon in four
dimensions and the three-mass-easy hexagon in six dimensions, which are
represented by two- and three-fold ${\rm d}\log$ integrals that are nicely
related to each other. For multi-loop examples, we write the $L$-loop
generalized penta-ladders as $2(L{-}1)$-fold ${\rm d}\log$ integrals of some
one-loop integral, so that once the latter is known, the integration can be
performed in a systematic way. In particular, we write the eight-point
penta-ladder as a $2L$-fold ${\rm d}\log$ integral whose symbol can be computed
without performing the integration; we also obtain the last entries and the
symbol alphabet of these integrals. Similarly we compute and study the symbol
of the seven-point double-penta-ladder, which is represented by a
$2(L{-}1)$-fold integral of a hexagon; the latter can be written as a two-fold
${\rm d}\log$ integral plus a boundary term. We comment on the relation of our
representation to differential equations and resum the ladders by solving
certain integral equations.
|
[
{
"created": "Thu, 24 Dec 2020 04:25:33 GMT",
"version": "v1"
},
{
"created": "Sat, 23 Jan 2021 10:49:52 GMT",
"version": "v2"
},
{
"created": "Mon, 1 Mar 2021 05:16:34 GMT",
"version": "v3"
}
] |
2021-05-26
|
[
[
"He",
"Song",
""
],
[
"Li",
"Zhenjie",
""
],
[
"Tang",
"Yichao",
""
],
[
"Yang",
"Qinglin",
""
]
] |
We introduce and study the Wilson-loop ${\rm d}\log$ representation of certain Feynman integrals for scattering amplitudes in ${\cal N}=4$ SYM and beyond, which makes their evaluation completely straightforward. Such a representation was motivated by the dual Wilson loop picture, and it can also be derived by partial Feynman parametrization of loop integrals. We first introduce it for the simplest one-loop examples, the chiral pentagon in four dimensions and the three-mass-easy hexagon in six dimensions, which are represented by two- and three-fold ${\rm d}\log$ integrals that are nicely related to each other. For multi-loop examples, we write the $L$-loop generalized penta-ladders as $2(L{-}1)$-fold ${\rm d}\log$ integrals of some one-loop integral, so that once the latter is known, the integration can be performed in a systematic way. In particular, we write the eight-point penta-ladder as a $2L$-fold ${\rm d}\log$ integral whose symbol can be computed without performing the integration; we also obtain the last entries and the symbol alphabet of these integrals. Similarly we compute and study the symbol of the seven-point double-penta-ladder, which is represented by a $2(L{-}1)$-fold integral of a hexagon; the latter can be written as a two-fold ${\rm d}\log$ integral plus a boundary term. We comment on the relation of our representation to differential equations and resum the ladders by solving certain integral equations.
| 7.36535
| 7.148345
| 8.247735
| 7.043708
| 6.722627
| 6.878363
| 6.929581
| 6.626543
| 6.831137
| 8.469084
| 6.928431
| 7.039903
| 7.459971
| 7.269856
| 7.085163
| 7.159184
| 7.04064
| 7.028161
| 7.210649
| 7.52251
| 7.255238
|
hep-th/0105266
|
Christoph Schweigert
|
C. Schweigert, J. Fuchs
|
The world sheet revisited
|
9 pages, LaTeX
| null | null |
PAR-LPTHE 01-26
|
hep-th math.QA
| null |
We investigate the mathematical structure of the world sheet in
two-dimensional conformal field theories.
|
[
{
"created": "Sun, 27 May 2001 15:42:20 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Schweigert",
"C.",
""
],
[
"Fuchs",
"J.",
""
]
] |
We investigate the mathematical structure of the world sheet in two-dimensional conformal field theories.
| 15.706851
| 8.750876
| 15.029653
| 11.068893
| 9.582984
| 10.558827
| 9.251431
| 9.271823
| 10.284491
| 13.634007
| 9.659602
| 12.826615
| 15.29037
| 12.187849
| 13.086193
| 12.806988
| 13.461737
| 12.748
| 13.413693
| 14.530478
| 12.334535
|
0803.3420
|
Igor Kondrashuk
|
Igor Kondrashuk and Anatoly Kotikov
|
Triangle UD integrals in the position space
|
9 pages, 2 figures, revised version, two references added, comments
are included in the text just after Eq.(1) and Eq.(2), the last paragraph is
modified, minor corrections, Eq.(6) is corrected, to appear in JHEP
|
JHEP0808:106,2008
|
10.1088/1126-6708/2008/08/106
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate triangle UD ladder integrals in the position space. The
investigation is necessary to find an all-order in loop solution for an
auxiliary Lcc correlator in Wess-Zumino-Landau gauge of the maximally
supersymmetric Yang-Mills theory and to present correlators of dressed mean
gluons in terms of it in all loops. We show that triangle UD ladder diagrams in
the position space can be expressed in terms of the same UD functions Phi^(L)
in terms of which they were represented in the momentum space, for an arbitrary
number of rungs.
|
[
{
"created": "Mon, 24 Mar 2008 16:08:16 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Aug 2008 09:50:56 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Kondrashuk",
"Igor",
""
],
[
"Kotikov",
"Anatoly",
""
]
] |
We investigate triangle UD ladder integrals in the position space. The investigation is necessary to find an all-order in loop solution for an auxiliary Lcc correlator in Wess-Zumino-Landau gauge of the maximally supersymmetric Yang-Mills theory and to present correlators of dressed mean gluons in terms of it in all loops. We show that triangle UD ladder diagrams in the position space can be expressed in terms of the same UD functions Phi^(L) in terms of which they were represented in the momentum space, for an arbitrary number of rungs.
| 24.593983
| 21.096228
| 24.548388
| 22.071289
| 25.258602
| 25.175825
| 25.851278
| 21.906908
| 22.225502
| 27.183098
| 22.484724
| 22.525509
| 24.245974
| 22.637644
| 22.511786
| 21.88649
| 21.686754
| 22.738237
| 22.469334
| 23.589191
| 21.689266
|
2304.01287
|
Stephen G. Naculich
|
Stephen G. Naculich
|
Color-factor symmetry of the amplitudes of Yang-Mills and biadjoint
scalar theory using perturbiner methods
|
20 pages, no figures; v2: additional references, version published in
JHEP; v3: typo in eq. 4.36 corrected
| null |
10.1007/JHEP06(2023)084
|
BOW-PH-171
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Color-factor symmetry is a property of tree-level gauge-theory amplitudes
containing at least one gluon. BCJ relations among color-ordered amplitudes
follow directly from this symmetry. Color-factor symmetry is also a feature of
biadjoint scalar theory amplitudes as well as of their equations of motion. In
this paper, we present a new proof of color-factor symmetry using a recursive
method derived from the perturbiner expansion of the classical equations of
motion.
|
[
{
"created": "Mon, 3 Apr 2023 18:21:29 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Jun 2023 18:27:17 GMT",
"version": "v2"
},
{
"created": "Tue, 27 Jun 2023 19:48:01 GMT",
"version": "v3"
}
] |
2023-07-05
|
[
[
"Naculich",
"Stephen G.",
""
]
] |
Color-factor symmetry is a property of tree-level gauge-theory amplitudes containing at least one gluon. BCJ relations among color-ordered amplitudes follow directly from this symmetry. Color-factor symmetry is also a feature of biadjoint scalar theory amplitudes as well as of their equations of motion. In this paper, we present a new proof of color-factor symmetry using a recursive method derived from the perturbiner expansion of the classical equations of motion.
| 8.244888
| 6.671364
| 9.244483
| 6.973668
| 7.413579
| 7.596271
| 6.908304
| 6.856795
| 6.44685
| 8.865623
| 6.68144
| 6.908977
| 7.123152
| 6.64284
| 6.762934
| 6.524894
| 6.864771
| 6.783903
| 6.697966
| 7.476662
| 7.221661
|
1712.02793
|
Axel Kleinschmidt
|
Guillaume Bossard, Axel Kleinschmidt
|
Cancellation of divergences up to three loops in exceptional field
theory
|
40 pages
| null |
10.1007/JHEP03(2018)100
|
CPHT-RR094.122017
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the tetrahedral three-loop diagram in $E_d$ exceptional field
theory evaluated as a scalar diagram for four external gravitons. At lowest
order in momenta, this diagram contributes to the $\nabla^6 R^4$ term in the
low-energy effective action for M-theory. We evaluate explicitly the sums over
the discrete exceptional field theory loop momenta that become sums over
1/2-BPS states in the compact exceptional space. These sums can be rewritten as
Eisenstein series that solve the homogeneous differential equations that
supersymmetry implies for the $\nabla^6 R^4$ coupling. We also show how our
results, even though sums over 1/2-BPS states, are consistent with expected
1/4-BPS contributions to the couplings.
|
[
{
"created": "Thu, 7 Dec 2017 19:00:01 GMT",
"version": "v1"
}
] |
2020-05-20
|
[
[
"Bossard",
"Guillaume",
""
],
[
"Kleinschmidt",
"Axel",
""
]
] |
We consider the tetrahedral three-loop diagram in $E_d$ exceptional field theory evaluated as a scalar diagram for four external gravitons. At lowest order in momenta, this diagram contributes to the $\nabla^6 R^4$ term in the low-energy effective action for M-theory. We evaluate explicitly the sums over the discrete exceptional field theory loop momenta that become sums over 1/2-BPS states in the compact exceptional space. These sums can be rewritten as Eisenstein series that solve the homogeneous differential equations that supersymmetry implies for the $\nabla^6 R^4$ coupling. We also show how our results, even though sums over 1/2-BPS states, are consistent with expected 1/4-BPS contributions to the couplings.
| 9.712853
| 10.248582
| 11.281645
| 9.296113
| 9.173118
| 10.265963
| 9.785087
| 9.504345
| 9.541091
| 11.094503
| 8.92602
| 9.822059
| 10.322375
| 9.47986
| 9.134819
| 9.123949
| 9.17676
| 9.747901
| 9.578217
| 10.262615
| 9.40009
|
1502.07471
|
Dong-han Yeom
|
Bum-Hoon Lee, Wonwoo Lee, Dong-han Yeom
|
Dynamics of magnetic shells and information loss problem
|
16 pages, 9 figures
|
Phys. Rev. D 92, 024027 (2015)
|
10.1103/PhysRevD.92.024027
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate dynamics of magnetic thin-shells in three dimensional anti de
Sitter background. Because of the magnetic field, an oscillatory solution is
possible. This oscillating shell can tunnel to a collapsing shell or a bouncing
shell, where both of tunnelings induce an event horizon and a singularity. In
the entire path integral, via the oscillating solution, there is a non-zero
probability to maintain a trivial causal structure without a singularity.
Therefore, due to the path integral, the entire wave function can conserve
information. Since an oscillating shell can tunnel after a number of
oscillations, in the end, it will allow an infinite number of different
branchings to classical histories. This system can be a good model of the
effective loss of information, where information is conserved by a solution
that is originated from gauge fields.
|
[
{
"created": "Thu, 26 Feb 2015 09:06:05 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Jul 2015 06:19:03 GMT",
"version": "v2"
}
] |
2015-07-22
|
[
[
"Lee",
"Bum-Hoon",
""
],
[
"Lee",
"Wonwoo",
""
],
[
"Yeom",
"Dong-han",
""
]
] |
We investigate dynamics of magnetic thin-shells in three dimensional anti de Sitter background. Because of the magnetic field, an oscillatory solution is possible. This oscillating shell can tunnel to a collapsing shell or a bouncing shell, where both of tunnelings induce an event horizon and a singularity. In the entire path integral, via the oscillating solution, there is a non-zero probability to maintain a trivial causal structure without a singularity. Therefore, due to the path integral, the entire wave function can conserve information. Since an oscillating shell can tunnel after a number of oscillations, in the end, it will allow an infinite number of different branchings to classical histories. This system can be a good model of the effective loss of information, where information is conserved by a solution that is originated from gauge fields.
| 19.295607
| 19.180706
| 18.440905
| 18.337196
| 19.50415
| 21.288729
| 20.420332
| 17.868156
| 18.777161
| 19.12599
| 18.64702
| 18.912624
| 18.491404
| 18.725346
| 18.932055
| 18.741093
| 18.504251
| 18.34273
| 19.534048
| 19.190121
| 18.125793
|
hep-th/0009197
|
Ilya Shapiro
|
J.C. Fabris, A.M. Pelinson and I.L. Shapiro
|
On the gravitational waves on the background of anomaly-induced
inflation
|
24 pages, LaTeX, 2 figures (eps-files). To be published in Nuclear
Physics B
|
Nucl.Phys. B597 (2001) 539-560; Erratum-ibid. B602 (2001) 644
|
10.1016/S0550-3213(00)00739-2
|
DF/UFJF-00/07
|
hep-th
| null |
In the very early Universe matter can be described as a conformal invariant
ultra-relativistic perfect fluid, which does not contribute, on classical
level, to the evolution of the isotropic and homogeneous metric. However, in
this situation the vacuum effects of quantum matter fields become important.
The vacuum effective action depends, essentially, on the particle content of
the underlying gauge model. If we suppose that there is some desert in the
particle spectrum, just below the Planck mass, then the effect of conformal
trace anomaly is dominating at the corresponding energies. With some additional
constraints on the gauge model (which favor extended or supersymmetric versions
of the Standard Model rather than the minimal one), one arrives at the stable
inflation. In this article we report about the calculation of the gravitational
waves in this model. The result for the perturbation spectrum is close to the
one for the conventional inflaton model, and is in agreement with the existing
Cobe data.
|
[
{
"created": "Mon, 25 Sep 2000 18:33:18 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Dec 2000 16:11:34 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Fabris",
"J. C.",
""
],
[
"Pelinson",
"A. M.",
""
],
[
"Shapiro",
"I. L.",
""
]
] |
In the very early Universe matter can be described as a conformal invariant ultra-relativistic perfect fluid, which does not contribute, on classical level, to the evolution of the isotropic and homogeneous metric. However, in this situation the vacuum effects of quantum matter fields become important. The vacuum effective action depends, essentially, on the particle content of the underlying gauge model. If we suppose that there is some desert in the particle spectrum, just below the Planck mass, then the effect of conformal trace anomaly is dominating at the corresponding energies. With some additional constraints on the gauge model (which favor extended or supersymmetric versions of the Standard Model rather than the minimal one), one arrives at the stable inflation. In this article we report about the calculation of the gravitational waves in this model. The result for the perturbation spectrum is close to the one for the conventional inflaton model, and is in agreement with the existing Cobe data.
| 12.807996
| 14.46499
| 11.639948
| 12.404808
| 12.986081
| 14.31562
| 14.67417
| 12.007773
| 12.654537
| 13.402565
| 13.162509
| 11.746145
| 11.807338
| 11.872486
| 11.964581
| 12.152377
| 12.115058
| 11.545817
| 12.014457
| 11.640098
| 11.949972
|
1004.2399
|
Ralf Schutzhold
|
Ralf Sch\"utzhold and Clovis Maia
|
Quantum radiation by electrons in lasers and the Unruh effect
|
4 pages, 3 figures
|
Eur.Phys.J.D55:375,2009
|
10.1140/epjd/e2009-00038-4
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In addition to the Larmor radiation known from classical electrodynamics,
electrons in a laser field may emit pairs of entangled photons -- which is a
pure quantum effect. We investigate this quantum effect and discuss why it is
suppressed in comparison with the classical Larmor radiation (which is just
Thomson backscattering of the laser photons). Further, we provide an intuitive
explanation of this process (in a simplified setting) in terms of the Unruh
effect.
|
[
{
"created": "Wed, 14 Apr 2010 14:12:34 GMT",
"version": "v1"
}
] |
2010-11-02
|
[
[
"Schützhold",
"Ralf",
""
],
[
"Maia",
"Clovis",
""
]
] |
In addition to the Larmor radiation known from classical electrodynamics, electrons in a laser field may emit pairs of entangled photons -- which is a pure quantum effect. We investigate this quantum effect and discuss why it is suppressed in comparison with the classical Larmor radiation (which is just Thomson backscattering of the laser photons). Further, we provide an intuitive explanation of this process (in a simplified setting) in terms of the Unruh effect.
| 10.744031
| 9.516764
| 8.774548
| 8.621984
| 8.447368
| 10.249172
| 9.192361
| 9.055598
| 9.395956
| 9.751129
| 9.270454
| 9.180435
| 9.156056
| 8.749064
| 8.889552
| 9.128783
| 8.837982
| 9.008648
| 9.133381
| 9.043694
| 9.098628
|
1606.03016
|
Ctirad Klimcik
|
C. Klimcik
|
Poisson-Lie T-duals of the bi-Yang-Baxter models
|
15 pages, we present an additional result that the analytic
continuation of a generic sigma model of "universal WZW-type" introduced by
Tseytlin in 1993 is nothing but the Poisson-Lie T-dual of a generic
Poisson-Lie symmetric sigma model introduced by Klimcik and Severa in 1995
| null |
10.1016/j.physletb.2016.06.077
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We prove the conjecture of Sfetsos, Siampos and Thompson that suitable
analytic continuations of the Poisson-Lie T-duals of the bi-Yang-Baxter sigma
models coincide with the recently introduced generalized lambda models. We then
generalize this result by showing that the analytic continuation of a generic
sigma model of "universal WZW-type" introduced by Tseytlin in 1993 is nothing
but the Poisson-Lie T-dual of a generic Poisson-Lie symmetric sigma model
introduced by Klimcik and Severa in 1995.
|
[
{
"created": "Thu, 9 Jun 2016 16:23:14 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Jun 2016 15:20:11 GMT",
"version": "v2"
}
] |
2016-08-03
|
[
[
"Klimcik",
"C.",
""
]
] |
We prove the conjecture of Sfetsos, Siampos and Thompson that suitable analytic continuations of the Poisson-Lie T-duals of the bi-Yang-Baxter sigma models coincide with the recently introduced generalized lambda models. We then generalize this result by showing that the analytic continuation of a generic sigma model of "universal WZW-type" introduced by Tseytlin in 1993 is nothing but the Poisson-Lie T-dual of a generic Poisson-Lie symmetric sigma model introduced by Klimcik and Severa in 1995.
| 6.797966
| 7.507173
| 9.452826
| 6.775815
| 7.20934
| 7.403087
| 6.819433
| 7.101029
| 6.690188
| 8.457992
| 6.951536
| 6.097405
| 6.521315
| 5.727619
| 6.049489
| 5.712217
| 5.927027
| 5.868756
| 5.861074
| 6.213222
| 6.085808
|
1912.12389
|
Christian Ferko
|
T. Daniel Brennan, Christian Ferko, Savdeep Sethi
|
A Non-Abelian Analogue of DBI from $T \overline{T}$
|
19 pages; LaTeX; references added, minor typos corrected
|
SciPost Phys. 8, 052 (2020)
|
10.21468/SciPostPhys.8.4.052
|
EFI--19-14
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Dirac action describes the physics of the Nambu-Goldstone scalars found
on branes. The Born-Infeld action defines a non-linear theory of
electrodynamics. The combined Dirac-Born-Infeld (DBI) action describes the
leading interactions supported on a single D-brane in string theory. We define
a non-abelian analogue of DBI using the $T \overline{T}$ deformation in two
dimensions. The resulting quantum theory is compatible with maximal
supersymmetry and such theories are quite rare.
|
[
{
"created": "Sat, 28 Dec 2019 03:06:05 GMT",
"version": "v1"
},
{
"created": "Sun, 19 Jan 2020 15:46:31 GMT",
"version": "v2"
}
] |
2020-04-08
|
[
[
"Brennan",
"T. Daniel",
""
],
[
"Ferko",
"Christian",
""
],
[
"Sethi",
"Savdeep",
""
]
] |
The Dirac action describes the physics of the Nambu-Goldstone scalars found on branes. The Born-Infeld action defines a non-linear theory of electrodynamics. The combined Dirac-Born-Infeld (DBI) action describes the leading interactions supported on a single D-brane in string theory. We define a non-abelian analogue of DBI using the $T \overline{T}$ deformation in two dimensions. The resulting quantum theory is compatible with maximal supersymmetry and such theories are quite rare.
| 9.858214
| 10.207458
| 9.715163
| 9.305841
| 9.695756
| 9.402092
| 10.191864
| 9.611939
| 9.467991
| 11.49905
| 9.210178
| 9.186936
| 10.150788
| 9.068435
| 9.528449
| 9.847442
| 9.175888
| 9.346807
| 9.034364
| 10.112506
| 8.817531
|
1710.07685
|
Arash Yunesi
|
Takemichi Okui and Arash Yunesi
|
Soft collinear effective theory for gravity
|
Two references added. Version accepted by Phys. Rev. D
|
Phys. Rev. D 97, 066011 (2018)
|
10.1103/PhysRevD.97.066011
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present how to construct a Soft Collinear Effective Theory (SCET) for
gravity at the leading and next-to-leading powers from the ground up. The soft
graviton theorem and decoupling of collinear gravitons at the leading power are
manifest from the outset in the effective symmetries of the theory. At the
next-to-leading power, certain simple structures of amplitudes, which are
completely obscure in Feynman diagrams of the full theory, are also revealed,
which greatly simplifies calculations. The effective lagrangian is highly
constrained by effectively multiple copies of diffeomorphism invariance that
are inevitably present in gravity SCET due to mode separation, an essential
ingredient of any SCET. Further explorations of effective theories of gravity
with mode separation may shed light on lagrangian-level understandings of some
of the surprising properties of gravitational scattering amplitudes. A gravity
SCET with an appropriate inclusion of Glauber modes may serve as a powerful
tool for studying gravitational scattering in the Regge limit.
|
[
{
"created": "Fri, 20 Oct 2017 19:35:54 GMT",
"version": "v1"
},
{
"created": "Sat, 3 Feb 2018 23:32:23 GMT",
"version": "v2"
},
{
"created": "Fri, 16 Feb 2018 14:38:29 GMT",
"version": "v3"
}
] |
2018-03-21
|
[
[
"Okui",
"Takemichi",
""
],
[
"Yunesi",
"Arash",
""
]
] |
We present how to construct a Soft Collinear Effective Theory (SCET) for gravity at the leading and next-to-leading powers from the ground up. The soft graviton theorem and decoupling of collinear gravitons at the leading power are manifest from the outset in the effective symmetries of the theory. At the next-to-leading power, certain simple structures of amplitudes, which are completely obscure in Feynman diagrams of the full theory, are also revealed, which greatly simplifies calculations. The effective lagrangian is highly constrained by effectively multiple copies of diffeomorphism invariance that are inevitably present in gravity SCET due to mode separation, an essential ingredient of any SCET. Further explorations of effective theories of gravity with mode separation may shed light on lagrangian-level understandings of some of the surprising properties of gravitational scattering amplitudes. A gravity SCET with an appropriate inclusion of Glauber modes may serve as a powerful tool for studying gravitational scattering in the Regge limit.
| 8.6976
| 10.230012
| 9.645759
| 8.597376
| 9.137629
| 10.358765
| 9.201807
| 9.135454
| 9.290236
| 9.542048
| 9.034105
| 8.567877
| 8.705413
| 8.877913
| 8.589668
| 8.640542
| 8.822927
| 8.636495
| 8.83268
| 8.691689
| 8.471831
|
1102.0062
|
Sever Amit
|
Davide Gaiotto, Juan Maldacena, Amit Sever, Pedro Vieira
|
Pulling the straps of polygons
|
42 pages, 4 figures
| null |
10.1007/JHEP12(2011)011
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using the Operator Product Expansion for Wilson loops we derive a simple
formula giving the discontinuities of the two loop result in terms of the one
loop answer. We also argue that the knowledge of these discontinuities should
be enough to fix the full two loop answer, for a general number of sides. We
work this out explicitly for the case of the hexagon and rederive the known
result.
|
[
{
"created": "Tue, 1 Feb 2011 02:28:56 GMT",
"version": "v1"
}
] |
2015-05-27
|
[
[
"Gaiotto",
"Davide",
""
],
[
"Maldacena",
"Juan",
""
],
[
"Sever",
"Amit",
""
],
[
"Vieira",
"Pedro",
""
]
] |
Using the Operator Product Expansion for Wilson loops we derive a simple formula giving the discontinuities of the two loop result in terms of the one loop answer. We also argue that the knowledge of these discontinuities should be enough to fix the full two loop answer, for a general number of sides. We work this out explicitly for the case of the hexagon and rederive the known result.
| 9.477199
| 6.610896
| 7.851673
| 7.485802
| 6.954779
| 7.692844
| 7.470937
| 7.235523
| 7.49011
| 8.415418
| 7.75331
| 7.312782
| 8.140207
| 7.401386
| 7.137333
| 7.113974
| 7.569798
| 7.286759
| 7.638584
| 8.737311
| 7.202539
|
1809.05156
|
Sanjaye Ramgoolam
|
Sanjaye Ramgoolam, Michal Sedl\'ak
|
Quantum Information Processing and Composite Quantum Fields
|
11 pages plus 4-page Appendix. Version 2 - minor typo corrected
| null |
10.1007/JHEP01(2019)170
|
QMUL-PH-18-16
|
hep-th math.CO math.RT quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Some beautiful identities involving hook contents of Young diagrams have been
found in the field of quantum information processing, along with a
combinatorial proof. We here give a representation theoretic proof of these
identities and a number of generalizations. Our proof is based on trace
identities for elements belonging to a class of permutation centralizer
algebras. These algebras have been found to underlie the combinatorics of
composite gauge invariant operators in quantum field theory, with applications
in the AdS/CFT correspondence. Based on these algebras, we discuss some
analogies between quantum information processing tasks and the combinatorics of
composite quantum fields and argue that this can be fruitful interface between
quantum information and quantum field theory, with implications for AdS/CFT.
|
[
{
"created": "Thu, 13 Sep 2018 19:53:55 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Apr 2019 20:35:16 GMT",
"version": "v2"
}
] |
2019-05-02
|
[
[
"Ramgoolam",
"Sanjaye",
""
],
[
"Sedlák",
"Michal",
""
]
] |
Some beautiful identities involving hook contents of Young diagrams have been found in the field of quantum information processing, along with a combinatorial proof. We here give a representation theoretic proof of these identities and a number of generalizations. Our proof is based on trace identities for elements belonging to a class of permutation centralizer algebras. These algebras have been found to underlie the combinatorics of composite gauge invariant operators in quantum field theory, with applications in the AdS/CFT correspondence. Based on these algebras, we discuss some analogies between quantum information processing tasks and the combinatorics of composite quantum fields and argue that this can be fruitful interface between quantum information and quantum field theory, with implications for AdS/CFT.
| 10.220322
| 9.676699
| 9.921137
| 8.959435
| 9.84923
| 9.881589
| 9.893664
| 8.763116
| 8.823553
| 10.92908
| 8.986951
| 8.576376
| 9.373
| 8.646313
| 8.867174
| 8.738862
| 8.697861
| 8.82586
| 8.997833
| 9.150146
| 8.813114
|
1705.11174
|
Piyabut Burikham
|
Piyabut Burikham, Tiberiu Harko, Matthew J. Lake
|
The QCD mass gap and quark deconfinement scales as mass bounds in strong
gravity
|
24 pages
| null |
10.1140/epjc/s10052-017-5381-9
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Though not a part of mainstream physics, Salam's theory of strong gravity
remains a viable effective model for the description of strong interactions in
the gauge singlet sector of QCD, capable of producing particle confinement and
asymptotic freedom, but not of reproducing interactions involving $SU(3)$
colour charge. It may therefore be used to explore the stability and
confinement of gauge singlet hadrons, though not to describe scattering
processes that require colour interactions. It is a two-tensor theory of both
strong interactions and gravity, in which the strong tensor field is governed
by equations formally identical to the Einstein equations, apart from the
coupling parameter, which is of order $1 \ \rm GeV^{-1}$. We revisit the strong
gravity theory and investigate the strong gravity field equations in the
presence of a mixing term which induces an effective {\it strong cosmological
constant}, $\Lambda_{f}$. This introduces a {\it strong de Sitter radius} for
strongly interacting fermions, producing a confining bubble, which allows us to
identify $\Lambda_{f}$ with the `bag constant' of the MIT bag model, $B \simeq
2 \times 10^{14} \rm gcm^{-3}$. Assuming a static, spherically symmetric
geometry, we derive the strong gravity TOV equation, which describes the
equilibrium properties of compact hadronic objects. From this, we determine the
generalised Buchdahl inequalities for a strong gravity `particle', giving rise
to upper and lower bounds on the mass/radius ratio of stable, compact, strongly
interacting objects. We show, explicitly, that the existence of the lower mass
bound is induced by the presence of $\Lambda_f$, producing a mass gap, and that
the upper bound corresponds to a deconfinement phase transition. The physical
implications of our results for holographic duality in the context of the
AdS/QCD and dS/QCD correspondences are also discussed.
|
[
{
"created": "Wed, 31 May 2017 16:43:25 GMT",
"version": "v1"
},
{
"created": "Sun, 5 Aug 2018 12:55:19 GMT",
"version": "v2"
}
] |
2018-08-07
|
[
[
"Burikham",
"Piyabut",
""
],
[
"Harko",
"Tiberiu",
""
],
[
"Lake",
"Matthew J.",
""
]
] |
Though not a part of mainstream physics, Salam's theory of strong gravity remains a viable effective model for the description of strong interactions in the gauge singlet sector of QCD, capable of producing particle confinement and asymptotic freedom, but not of reproducing interactions involving $SU(3)$ colour charge. It may therefore be used to explore the stability and confinement of gauge singlet hadrons, though not to describe scattering processes that require colour interactions. It is a two-tensor theory of both strong interactions and gravity, in which the strong tensor field is governed by equations formally identical to the Einstein equations, apart from the coupling parameter, which is of order $1 \ \rm GeV^{-1}$. We revisit the strong gravity theory and investigate the strong gravity field equations in the presence of a mixing term which induces an effective {\it strong cosmological constant}, $\Lambda_{f}$. This introduces a {\it strong de Sitter radius} for strongly interacting fermions, producing a confining bubble, which allows us to identify $\Lambda_{f}$ with the `bag constant' of the MIT bag model, $B \simeq 2 \times 10^{14} \rm gcm^{-3}$. Assuming a static, spherically symmetric geometry, we derive the strong gravity TOV equation, which describes the equilibrium properties of compact hadronic objects. From this, we determine the generalised Buchdahl inequalities for a strong gravity `particle', giving rise to upper and lower bounds on the mass/radius ratio of stable, compact, strongly interacting objects. We show, explicitly, that the existence of the lower mass bound is induced by the presence of $\Lambda_f$, producing a mass gap, and that the upper bound corresponds to a deconfinement phase transition. The physical implications of our results for holographic duality in the context of the AdS/QCD and dS/QCD correspondences are also discussed.
| 8.633145
| 10.076696
| 9.218923
| 8.796302
| 9.183796
| 9.915689
| 9.59832
| 8.627674
| 8.956241
| 9.287784
| 8.920484
| 8.567207
| 8.492209
| 8.536285
| 8.491504
| 8.845546
| 8.537837
| 8.470284
| 8.594499
| 8.592964
| 8.428514
|
1511.06713
|
Lorenzo Bianchi
|
Lorenzo Bianchi, Marco Meineri, Robert C. Myers, Michael Smolkin
|
R\'enyi entropy and conformal defects
|
37 pages, typos corrected, section 6 and appendix C expanded,
references added
| null |
10.1007/JHEP07(2016)076
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a field theoretic framework for calculating the dependence of
R\'enyi entropies on the shape of the entangling surface in a conformal field
theory. Our approach rests on regarding the corresponding twist operator as a
conformal defect and in particular, we define the displacement operator which
implements small local deformations of the entangling surface. We identify a
simple constraint between the coefficient defining the two-point function of
the displacement operator and the conformal weight of the twist operator, which
consolidates a number of distinct conjectures on the shape dependence of the
R\'enyi entropy. As an example, using this approach, we examine a conjecture
regarding the universal coefficient associated with a conical singularity in
the entangling surface for CFTs in any number of spacetime dimensions. We also
provide a general formula for the second order variation of the R\'enyi entropy
arising from small deformations of a spherical entangling surface, extending
Mezei's results for the entanglement entropy.
|
[
{
"created": "Fri, 20 Nov 2015 18:09:07 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Apr 2016 15:35:24 GMT",
"version": "v2"
}
] |
2016-08-24
|
[
[
"Bianchi",
"Lorenzo",
""
],
[
"Meineri",
"Marco",
""
],
[
"Myers",
"Robert C.",
""
],
[
"Smolkin",
"Michael",
""
]
] |
We propose a field theoretic framework for calculating the dependence of R\'enyi entropies on the shape of the entangling surface in a conformal field theory. Our approach rests on regarding the corresponding twist operator as a conformal defect and in particular, we define the displacement operator which implements small local deformations of the entangling surface. We identify a simple constraint between the coefficient defining the two-point function of the displacement operator and the conformal weight of the twist operator, which consolidates a number of distinct conjectures on the shape dependence of the R\'enyi entropy. As an example, using this approach, we examine a conjecture regarding the universal coefficient associated with a conical singularity in the entangling surface for CFTs in any number of spacetime dimensions. We also provide a general formula for the second order variation of the R\'enyi entropy arising from small deformations of a spherical entangling surface, extending Mezei's results for the entanglement entropy.
| 5.770119
| 5.723102
| 7.159801
| 5.569041
| 5.901175
| 5.660987
| 5.894543
| 5.538811
| 5.543177
| 7.183981
| 5.674071
| 5.675219
| 6.223513
| 5.770769
| 5.711619
| 5.744537
| 5.643343
| 5.690205
| 5.667175
| 6.328185
| 5.61468
|
hep-th/9310162
|
Grosche Christian
|
Christian Grosche
|
On the Path Integral in Imaginary Lobachevsky Space
|
16 pages, LATEX, DESY 93-140
|
J.Phys. A27 (1994) 3475-3490
|
10.1088/0305-4470/27/10/023
| null |
hep-th
| null |
The path integral on the single-sheeted hyperboloid, i.e.\ in $D$-dimensional
imaginary Lobachevsky space, is evaluated. A potential problem which we call
``Kepler-problem'', and the case of a constant magnetic field are also
discussed.
|
[
{
"created": "Mon, 25 Oct 1993 10:41:59 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Grosche",
"Christian",
""
]
] |
The path integral on the single-sheeted hyperboloid, i.e.\ in $D$-dimensional imaginary Lobachevsky space, is evaluated. A potential problem which we call ``Kepler-problem'', and the case of a constant magnetic field are also discussed.
| 18.702511
| 14.650503
| 18.695618
| 17.113585
| 16.948523
| 15.063619
| 15.524323
| 15.802897
| 14.226048
| 19.022387
| 17.772209
| 16.868053
| 18.433243
| 16.560934
| 16.402866
| 17.242041
| 16.861666
| 16.745132
| 16.269831
| 17.698048
| 17.352882
|
1610.03501
|
Bruno Le Floch
|
Jaume Gomis, Bruno Le Floch, Yiwen Pan, Wolfger Peelaers
|
Intersecting Surface Defects and Two-Dimensional CFT
|
74 pages, one-column version of the version published in 2017
|
Phys. Rev. D 96, 045003 (2017)
|
10.1103/PhysRevD.96.045003
|
UUITP-25/16
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We initiate the study of intersecting surface operators/defects in
four-dimensional quantum field theories (QFTs). We characterize these defects
by coupled 4d/2d/0d theories constructed by coupling the degrees of freedom
localized at a point and on intersecting surfaces in spacetime to each other
and to the four-dimensional QFT. We construct supersymmetric intersecting
surface defects preserving just two supercharges in N = 2 gauge theories. These
defects are amenable to exact analysis by localization of the partition
function of the underlying 4d/2d/0d QFT. We identify the 4d/2d/0d QFTs that
describe intersecting surface operators in N = 2 gauge theories realized by
intersecting M2-branes ending on N M5-branes wrapping a Riemann surface. We
conjecture and provide evidence for an explicit equivalence between the
squashed four-sphere partition function of these intersecting defects and
correlation functions in Liouville/Toda CFT with the insertion of arbitrary
degenerate vertex operators, which are labeled by representations of SU(N).
|
[
{
"created": "Tue, 11 Oct 2016 20:00:52 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Feb 2017 05:03:58 GMT",
"version": "v2"
},
{
"created": "Thu, 20 Aug 2020 22:13:50 GMT",
"version": "v3"
}
] |
2020-08-24
|
[
[
"Gomis",
"Jaume",
""
],
[
"Floch",
"Bruno Le",
""
],
[
"Pan",
"Yiwen",
""
],
[
"Peelaers",
"Wolfger",
""
]
] |
We initiate the study of intersecting surface operators/defects in four-dimensional quantum field theories (QFTs). We characterize these defects by coupled 4d/2d/0d theories constructed by coupling the degrees of freedom localized at a point and on intersecting surfaces in spacetime to each other and to the four-dimensional QFT. We construct supersymmetric intersecting surface defects preserving just two supercharges in N = 2 gauge theories. These defects are amenable to exact analysis by localization of the partition function of the underlying 4d/2d/0d QFT. We identify the 4d/2d/0d QFTs that describe intersecting surface operators in N = 2 gauge theories realized by intersecting M2-branes ending on N M5-branes wrapping a Riemann surface. We conjecture and provide evidence for an explicit equivalence between the squashed four-sphere partition function of these intersecting defects and correlation functions in Liouville/Toda CFT with the insertion of arbitrary degenerate vertex operators, which are labeled by representations of SU(N).
| 6.192239
| 6.300376
| 7.422919
| 6.503078
| 6.599375
| 6.710239
| 6.945544
| 6.620664
| 6.518799
| 8.511671
| 6.290452
| 6.695976
| 6.642226
| 6.421158
| 6.379584
| 6.322844
| 6.546112
| 6.41459
| 6.192251
| 6.54412
| 6.285353
|
hep-th/9802099
|
Christos Kokorelis
|
Christos Kokorelis
|
The Master Equation for the Prepotential
|
45 pages, typos corrected, references added, comments added
| null | null |
SUSX-TH-98-01
|
hep-th
| null |
The perturbative prepotential and the K\"ahler metric of the vector
multiplets of the N=2 effective low-energy heterotic strings is calculated
directly in N=1 six-dimensional toroidal compactifications of the heterotic
string vacua. This method provides the solution for the one loop correction to
the N=2 vector multiplet prepotential for compactifications of the heterotic
string for any rank three and four models, as well for compactifications on
$K_3 \times T^2$. In addition, we complete previous calculations, derived from
string amplitudes, by deriving the differential equation for the third
derivative of the prepotential with respect of the usual complex structure U
moduli of the $T^2$ torus. Moreover, we calculate the one loop prepotential,
using its modular properties, for N=2 compactifications of the heterotic string
exhibiting modular groups similar with those appearing in N=2 sectors of N=1
orbifolds based on non-decomposable torus lattices and on N=2 supersymmetric
Yang-Mills.
|
[
{
"created": "Fri, 13 Feb 1998 13:16:45 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Feb 1998 09:03:05 GMT",
"version": "v2"
},
{
"created": "Thu, 26 Feb 1998 01:11:07 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Kokorelis",
"Christos",
""
]
] |
The perturbative prepotential and the K\"ahler metric of the vector multiplets of the N=2 effective low-energy heterotic strings is calculated directly in N=1 six-dimensional toroidal compactifications of the heterotic string vacua. This method provides the solution for the one loop correction to the N=2 vector multiplet prepotential for compactifications of the heterotic string for any rank three and four models, as well for compactifications on $K_3 \times T^2$. In addition, we complete previous calculations, derived from string amplitudes, by deriving the differential equation for the third derivative of the prepotential with respect of the usual complex structure U moduli of the $T^2$ torus. Moreover, we calculate the one loop prepotential, using its modular properties, for N=2 compactifications of the heterotic string exhibiting modular groups similar with those appearing in N=2 sectors of N=1 orbifolds based on non-decomposable torus lattices and on N=2 supersymmetric Yang-Mills.
| 10.289508
| 6.828021
| 11.492602
| 8.35096
| 6.863077
| 6.490572
| 6.776516
| 8.211944
| 7.812389
| 13.609454
| 8.544082
| 9.097297
| 10.438909
| 9.356732
| 9.282791
| 9.003202
| 8.688334
| 9.683064
| 9.374496
| 10.283324
| 9.452993
|
hep-th/0510022
|
Scott Watson
|
Thorsten Battefeld and Scott Watson
|
String Gas Cosmology
|
55 pages, 1 figure, minor corrections, version to appear in Reviews
of Modern Physics
|
Rev.Mod.Phys.78:435-454,2006
|
10.1103/RevModPhys.78.435
| null |
hep-th astro-ph gr-qc hep-ph
| null |
We present a critical review and summary of String Gas Cosmology. We include
a pedagogical derivation of the effective action starting from string theory,
emphasizing the necessary approximations that must be invoked. Working in the
effective theory, we demonstrate that at late-times it is not possible to
stabilize the extra dimensions by a gas of massive string winding modes. We
then consider additional string gases that contain so-called enhanced symmetry
states. These string gases are very heavy initially, but drive the moduli to
locations that minimize the energy and pressure of the gas. We consider both
classical and quantum gas dynamics, where in the former the validity of the
theory is questionable and some fine-tuning is required, but in the latter we
find a consistent and promising stabilization mechanism that is valid at
late-times. In addition, we find that string gases provide a framework to
explore dark matter, presenting alternatives to $\Lambda$CDM as recently
considered by Gubser and Peebles. We also discuss quantum trapping with string
gases as a method for including dynamics on the string landscape.
|
[
{
"created": "Mon, 3 Oct 2005 23:25:58 GMT",
"version": "v1"
},
{
"created": "Sun, 9 Oct 2005 23:32:39 GMT",
"version": "v2"
},
{
"created": "Fri, 17 Feb 2006 14:42:18 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Battefeld",
"Thorsten",
""
],
[
"Watson",
"Scott",
""
]
] |
We present a critical review and summary of String Gas Cosmology. We include a pedagogical derivation of the effective action starting from string theory, emphasizing the necessary approximations that must be invoked. Working in the effective theory, we demonstrate that at late-times it is not possible to stabilize the extra dimensions by a gas of massive string winding modes. We then consider additional string gases that contain so-called enhanced symmetry states. These string gases are very heavy initially, but drive the moduli to locations that minimize the energy and pressure of the gas. We consider both classical and quantum gas dynamics, where in the former the validity of the theory is questionable and some fine-tuning is required, but in the latter we find a consistent and promising stabilization mechanism that is valid at late-times. In addition, we find that string gases provide a framework to explore dark matter, presenting alternatives to $\Lambda$CDM as recently considered by Gubser and Peebles. We also discuss quantum trapping with string gases as a method for including dynamics on the string landscape.
| 14.208394
| 14.515903
| 15.690213
| 13.857553
| 15.322805
| 14.593463
| 16.331564
| 13.418076
| 14.283569
| 15.52842
| 13.783877
| 14.126655
| 14.420688
| 13.928464
| 13.963419
| 13.669403
| 13.816319
| 14.249719
| 13.49148
| 14.262206
| 14.148264
|
hep-th/9204064
|
Omar Foda Rba5
|
Brian Davies, Omar Foda, Michio Jimbo, Tetsuji Miwa and Atsushi
Nakayashiki
|
Diagonalization of the XXZ Hamiltonian by Vertex Operators
|
65 pages
|
Commun.Math.Phys. 151 (1993) 89-154
|
10.1007/BF02096750
| null |
hep-th
| null |
We diagonalize the anti-ferroelectric XXZ-Hamiltonian directly in the
thermodynamic limit, where the model becomes invariant under the action of
affine U_q( sl(2) ).
Our method is based on the representation theory of quantum affine algebras,
the related vertex operators and KZ equation, and thereby bypasses the usual
process of starting from a finite lattice, taking the thermodynamic limit and
filling the Dirac sea. From recent results on the algebraic structure of the
corner transfer matrix of the model, we obtain the vacuum vector of the
Hamiltonian. The rest of the eigenvectors are obtained by applying the vertex
operators, which act as particle creation operators in the space of
eigenvectors.
We check the agreement of our results with those obtained using the Bethe
Ansatz in a number of cases, and with others obtained in the scaling limit ---
the $su(2)$-invariant Thirring model.
|
[
{
"created": "Wed, 22 Apr 1992 00:43:20 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Davies",
"Brian",
""
],
[
"Foda",
"Omar",
""
],
[
"Jimbo",
"Michio",
""
],
[
"Miwa",
"Tetsuji",
""
],
[
"Nakayashiki",
"Atsushi",
""
]
] |
We diagonalize the anti-ferroelectric XXZ-Hamiltonian directly in the thermodynamic limit, where the model becomes invariant under the action of affine U_q( sl(2) ). Our method is based on the representation theory of quantum affine algebras, the related vertex operators and KZ equation, and thereby bypasses the usual process of starting from a finite lattice, taking the thermodynamic limit and filling the Dirac sea. From recent results on the algebraic structure of the corner transfer matrix of the model, we obtain the vacuum vector of the Hamiltonian. The rest of the eigenvectors are obtained by applying the vertex operators, which act as particle creation operators in the space of eigenvectors. We check the agreement of our results with those obtained using the Bethe Ansatz in a number of cases, and with others obtained in the scaling limit --- the $su(2)$-invariant Thirring model.
| 9.14524
| 9.423417
| 10.922393
| 8.560073
| 9.622395
| 8.888571
| 8.903868
| 8.823097
| 8.947384
| 11.572221
| 8.777236
| 8.581306
| 9.683124
| 8.383119
| 8.739272
| 8.126497
| 8.223805
| 8.557148
| 8.65098
| 9.404343
| 8.275419
|
1608.04709
|
Maria Vittoria Gargiulo
|
Massimo Blasone, Maria Vittoria Gargiulo and Giuseppe Vitiello
|
On the role of the rotations and Bogoliubov transformations in neutrino
mixing
|
accepted for publication, in printing PLB
| null |
10.1016/j.physletb.2016.08.022
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that mixing transformations for Dirac fields arise as a consequence
of the non-trivial interplay between rotations and Bogoliubov transformations
at level of ladder operators. Indeed the non-commutativity between the
algebraic generators of such transformations turns out to be responsible of the
unitary inequivalence of the flavor and mass representations and of the
associated vacuum structure. A possible thermodynamic interpretation is also
investigated.
|
[
{
"created": "Tue, 16 Aug 2016 19:02:24 GMT",
"version": "v1"
}
] |
2016-09-21
|
[
[
"Blasone",
"Massimo",
""
],
[
"Gargiulo",
"Maria Vittoria",
""
],
[
"Vitiello",
"Giuseppe",
""
]
] |
We show that mixing transformations for Dirac fields arise as a consequence of the non-trivial interplay between rotations and Bogoliubov transformations at level of ladder operators. Indeed the non-commutativity between the algebraic generators of such transformations turns out to be responsible of the unitary inequivalence of the flavor and mass representations and of the associated vacuum structure. A possible thermodynamic interpretation is also investigated.
| 15.249983
| 12.233456
| 11.460092
| 12.630207
| 13.688919
| 13.287211
| 12.382761
| 12.647634
| 11.959796
| 13.519169
| 13.711045
| 14.213958
| 13.740445
| 13.793306
| 14.326491
| 14.366689
| 13.727283
| 14.02899
| 13.908719
| 13.107742
| 14.446803
|
1606.03455
|
Ashoke Sen
|
Ashoke Sen
|
Reality of Superstring Field Theory Action
|
LaTeX file, 28 pages; v2: minor clarifications added
| null |
10.1007/JHEP11(2016)014
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We determine the reality conditions on the string fields that make the action
for heterotic and type II string field theories real.
|
[
{
"created": "Fri, 10 Jun 2016 20:00:04 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Nov 2016 10:29:15 GMT",
"version": "v2"
}
] |
2016-11-23
|
[
[
"Sen",
"Ashoke",
""
]
] |
We determine the reality conditions on the string fields that make the action for heterotic and type II string field theories real.
| 18.123257
| 8.899087
| 16.820292
| 12.680411
| 9.399436
| 10.063429
| 11.159384
| 12.324914
| 10.55891
| 28.452496
| 10.476075
| 11.5065
| 16.899206
| 12.468056
| 11.353503
| 11.298295
| 12.032537
| 11.72827
| 11.247134
| 17.28677
| 11.273981
|
1808.00744
|
Jong-Dae Park
|
Soonkeon Nam, Jong-Dae Park
|
Warped $AdS_3$ black hole in minimal massive gravity with first order
formalism
|
30 pages, some contents and references are added, Published version
|
Phys. Rev. D 98, 124034 (2018)
|
10.1103/PhysRevD.98.124034
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We obtain a black hole solution of minimal massive gravity theory with
Maxwell and electromagnetic Chern-Simons terms using the first order formalism.
This black hole solution can be translated into the spacelike warped $AdS_3$
black hole solution with some parameters' conditions changing their coordinates
system into a Schwarzschild one. Applying the Wald formalism to this theory
with the first order formalism, we also find out the entropy, mass, and angular
momentum of this black hole solution satisfies the first law of black hole
thermodynamics. Under the assumption that minimal massive gravity theory with
suitable asymptotically warped $AdS_3$ boundary conditions is holographically
dual to a two dimensional boundary conformal field theory, we find appropriate
central charges by using the relations between entropy of this black hole and
the Cardy formula in dual conformal field theory described by left and right
moving central charges and temperatures.
|
[
{
"created": "Thu, 2 Aug 2018 10:01:11 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Jan 2019 11:49:09 GMT",
"version": "v2"
}
] |
2019-01-04
|
[
[
"Nam",
"Soonkeon",
""
],
[
"Park",
"Jong-Dae",
""
]
] |
We obtain a black hole solution of minimal massive gravity theory with Maxwell and electromagnetic Chern-Simons terms using the first order formalism. This black hole solution can be translated into the spacelike warped $AdS_3$ black hole solution with some parameters' conditions changing their coordinates system into a Schwarzschild one. Applying the Wald formalism to this theory with the first order formalism, we also find out the entropy, mass, and angular momentum of this black hole solution satisfies the first law of black hole thermodynamics. Under the assumption that minimal massive gravity theory with suitable asymptotically warped $AdS_3$ boundary conditions is holographically dual to a two dimensional boundary conformal field theory, we find appropriate central charges by using the relations between entropy of this black hole and the Cardy formula in dual conformal field theory described by left and right moving central charges and temperatures.
| 8.462644
| 8.525183
| 8.811383
| 7.503701
| 8.346296
| 8.246913
| 7.862718
| 7.785667
| 7.899671
| 9.730776
| 7.552047
| 8.376619
| 8.657433
| 8.084934
| 8.153734
| 7.897255
| 8.191394
| 7.983399
| 8.152218
| 8.861588
| 7.857625
|
hep-th/0610310
|
Manuela Kulaxizi
|
Manuela Kulaxizi
|
On beta-deformations and Noncommutativity
|
16 pages, no figures
| null | null |
YITP-SB-06-45
|
hep-th
| null |
We elucidate the connection between the N=1 beta-deformed SYM theory and
noncommutativity. Our starting point is the T-duality generating transformation
involved in constructing the gravity duals of both beta-deformed and
noncommutative gauge theories. We show that the two methods can be identified
provided that a particular submatrix of the O(3,3,R) group element employed in
the former case, is interpreted as the noncommutativity parameter associated
with the deformation of the transverse space. It is then explained how to
construct the matrix in question, relying solely on information extracted from
the gauge theory Lagrangian and basic notions of AdS/CFT. This result may
provide an additional tool in exploring deformations of the N=4 SYM theory.
Finally we use the uncovered relationship between beta-deformations and
noncommutativity to find the gravity background dual to a noncommutative gauge
theory with beta-type noncommutativity parameter.
|
[
{
"created": "Mon, 30 Oct 2006 01:13:24 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Kulaxizi",
"Manuela",
""
]
] |
We elucidate the connection between the N=1 beta-deformed SYM theory and noncommutativity. Our starting point is the T-duality generating transformation involved in constructing the gravity duals of both beta-deformed and noncommutative gauge theories. We show that the two methods can be identified provided that a particular submatrix of the O(3,3,R) group element employed in the former case, is interpreted as the noncommutativity parameter associated with the deformation of the transverse space. It is then explained how to construct the matrix in question, relying solely on information extracted from the gauge theory Lagrangian and basic notions of AdS/CFT. This result may provide an additional tool in exploring deformations of the N=4 SYM theory. Finally we use the uncovered relationship between beta-deformations and noncommutativity to find the gravity background dual to a noncommutative gauge theory with beta-type noncommutativity parameter.
| 8.764439
| 8.644746
| 8.396481
| 8.354808
| 8.213612
| 8.887285
| 8.336303
| 8.293962
| 8.090199
| 9.743157
| 8.418187
| 8.325223
| 8.884626
| 8.66348
| 8.701215
| 8.380426
| 8.337095
| 8.384912
| 8.435
| 8.86625
| 8.328034
|
hep-th/0405137
|
Yu Tian
|
Han-Ying Guo, Chao-Guang Huang, Yu Tian, Zhan Xu, Bin Zhou
|
On de Sitter Invariant Special Relativity and Cosmological Constant as
Origin of Inertia
|
13 pages, revtex4
| null | null | null |
hep-th
| null |
Weakening the Euclidean assumption in special relativity and the
coordinate-independence hypothesis in general relativity for the de Sitter
space, we propose a de Sitter invariant special relativity with two universal
constants of speed $c$ and length $R$ based on the principle of relativity and
the postulate of universal constants $c$ and $R$ on de Sitter space with
Beltrami metric. We also propose a postulate on the origin of the inertial
motions and inertial systems as a base of the principle of relativity. We show
that the Beltrami-de Sitter space provides such a model that the origin of
inertia should be determined by the cosmological constant $\Lambda$ if the
length $R$ is linked with $\Lambda$. In addition, via the `gnomonic' projection
the uniform straight-line motion on Beltrami-de Sitter space is linked with the
uniform motion along a great `circle' on de Sitter space embedded in 5-d
Minkowski space.
|
[
{
"created": "Sat, 15 May 2004 15:49:38 GMT",
"version": "v1"
},
{
"created": "Sun, 30 May 2004 04:50:49 GMT",
"version": "v2"
},
{
"created": "Sun, 20 Jun 2004 16:33:55 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Guo",
"Han-Ying",
""
],
[
"Huang",
"Chao-Guang",
""
],
[
"Tian",
"Yu",
""
],
[
"Xu",
"Zhan",
""
],
[
"Zhou",
"Bin",
""
]
] |
Weakening the Euclidean assumption in special relativity and the coordinate-independence hypothesis in general relativity for the de Sitter space, we propose a de Sitter invariant special relativity with two universal constants of speed $c$ and length $R$ based on the principle of relativity and the postulate of universal constants $c$ and $R$ on de Sitter space with Beltrami metric. We also propose a postulate on the origin of the inertial motions and inertial systems as a base of the principle of relativity. We show that the Beltrami-de Sitter space provides such a model that the origin of inertia should be determined by the cosmological constant $\Lambda$ if the length $R$ is linked with $\Lambda$. In addition, via the `gnomonic' projection the uniform straight-line motion on Beltrami-de Sitter space is linked with the uniform motion along a great `circle' on de Sitter space embedded in 5-d Minkowski space.
| 9.442061
| 10.177331
| 9.644292
| 9.18905
| 9.920785
| 9.49855
| 9.399483
| 9.162179
| 8.819728
| 10.523229
| 8.665276
| 9.221497
| 9.382947
| 9.241329
| 9.149906
| 9.292324
| 9.244419
| 9.28872
| 9.208032
| 9.483354
| 9.062949
|
hep-th/9512185
|
Aleksey I. Alekseev
|
A.I. Alekseev
|
Asymptotic solution of Schwinger -- Dyson equation for the gluon
propagator in the infrared region
|
11 pages, LATEX
| null | null |
IHEP-95-139
|
hep-th
| null |
The equation for the gluon propagator in the approach of
Baker-Ball-Zachariasen is considered. The possibility of non-integer power
infrared behaviour is studied, $D(q) \sim (q^2)^{-c}$, $q^2 \rightarrow 0$. It
is shown that the characteristic equation for the exponent has no solutions at
$-1\leq c\leq 3$. The approximations made to obtain the closed integral
equation are analysed and the conclusion on the infrared behaviour of the gluon
propagator $D(q) \sim 1/(q^2)^2$, $q^2 \rightarrow 0$ is made when the
transverse part of the triple gluon vertex is taken into account.
|
[
{
"created": "Fri, 22 Dec 1995 13:42:23 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Alekseev",
"A. I.",
""
]
] |
The equation for the gluon propagator in the approach of Baker-Ball-Zachariasen is considered. The possibility of non-integer power infrared behaviour is studied, $D(q) \sim (q^2)^{-c}$, $q^2 \rightarrow 0$. It is shown that the characteristic equation for the exponent has no solutions at $-1\leq c\leq 3$. The approximations made to obtain the closed integral equation are analysed and the conclusion on the infrared behaviour of the gluon propagator $D(q) \sim 1/(q^2)^2$, $q^2 \rightarrow 0$ is made when the transverse part of the triple gluon vertex is taken into account.
| 6.547976
| 6.504411
| 6.56
| 6.430255
| 6.533391
| 6.408723
| 6.440341
| 6.870701
| 6.287041
| 6.6973
| 6.421849
| 5.992754
| 6.270514
| 5.909325
| 5.935159
| 6.103341
| 5.889918
| 5.930348
| 6.037539
| 6.106356
| 5.928574
|
2405.12980
|
Tom Rudelius
|
Tom Rudelius
|
A Symmetry-centric Perspective on the Geometry of the String Landscape
and the Swampland
|
15 pages, honorable mention in the 2024 Gravity Research Foundation
Essay Competition; appendix added for arxiv
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
As famously observed by Ooguri and Vafa nearly twenty years ago, scalar field
moduli spaces in quantum gravity appear to exhibit various universal features.
For instance, they seem to be infinite in diameter, have trivial fundamental
group, and feature towers of massive particles that become light in their
asymptotic limits. In this essay, we explain how these features can be
reformulated in more modern language using generalized notions of global
symmetries. Such symmetries are ubiquitous in non-gravitational quantum field
theories, but it is widely believed that they must be either gauged or broken
in quantum gravity. In what follows, we will see that the observations of
Ooguri and Vafa can be understood as consequences of such gauging or breaking.
|
[
{
"created": "Tue, 21 May 2024 17:59:22 GMT",
"version": "v1"
}
] |
2024-05-22
|
[
[
"Rudelius",
"Tom",
""
]
] |
As famously observed by Ooguri and Vafa nearly twenty years ago, scalar field moduli spaces in quantum gravity appear to exhibit various universal features. For instance, they seem to be infinite in diameter, have trivial fundamental group, and feature towers of massive particles that become light in their asymptotic limits. In this essay, we explain how these features can be reformulated in more modern language using generalized notions of global symmetries. Such symmetries are ubiquitous in non-gravitational quantum field theories, but it is widely believed that they must be either gauged or broken in quantum gravity. In what follows, we will see that the observations of Ooguri and Vafa can be understood as consequences of such gauging or breaking.
| 9.306788
| 9.149137
| 9.506867
| 8.523768
| 9.004776
| 8.240535
| 8.725513
| 8.574805
| 7.969026
| 9.435394
| 8.398316
| 8.288252
| 8.55391
| 8.48181
| 8.453799
| 8.520562
| 8.584123
| 8.365784
| 8.292144
| 8.71966
| 8.155112
|
hep-th/0302171
|
Roberto Casadio
|
Roberto Casadio
|
Holography and trace anomaly: what is the fate of (brane-world) black
holes?
|
11 pages, 2 figures, a few comments and references added, accepted
for publication in Phys. Rev. D
|
Phys.Rev. D69 (2004) 084025
|
10.1103/PhysRevD.69.084025
| null |
hep-th astro-ph gr-qc
| null |
The holographic principle relates (classical) gravitational waves in the bulk
to quantum fluctuations and the Weyl anomaly of a conformal field theory on the
boundary (the brane). One can thus argue that linear perturbations in the bulk
of static black holes located on the brane be related to the Hawking flux and
that (brane-world) black holes are therefore unstable. We try to gain some
information on such instability from established knowledge of the Hawking
radiation on the brane. In this context, the well-known trace anomaly is used
as a measure of both the validity of the holographic picture and of the
instability for several proposed static brane metrics. In light of the above
analysis, we finally consider a time-dependent metric as the (approximate)
representation of the late stage of evaporating black holes which is
characterized by decreasing Hawking temperature, in qualitative agreement with
what is required by energy conservation.
|
[
{
"created": "Fri, 21 Feb 2003 13:05:55 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Apr 2003 10:28:46 GMT",
"version": "v2"
},
{
"created": "Fri, 18 Jul 2003 09:14:31 GMT",
"version": "v3"
},
{
"created": "Mon, 9 Feb 2004 08:17:51 GMT",
"version": "v4"
}
] |
2009-11-10
|
[
[
"Casadio",
"Roberto",
""
]
] |
The holographic principle relates (classical) gravitational waves in the bulk to quantum fluctuations and the Weyl anomaly of a conformal field theory on the boundary (the brane). One can thus argue that linear perturbations in the bulk of static black holes located on the brane be related to the Hawking flux and that (brane-world) black holes are therefore unstable. We try to gain some information on such instability from established knowledge of the Hawking radiation on the brane. In this context, the well-known trace anomaly is used as a measure of both the validity of the holographic picture and of the instability for several proposed static brane metrics. In light of the above analysis, we finally consider a time-dependent metric as the (approximate) representation of the late stage of evaporating black holes which is characterized by decreasing Hawking temperature, in qualitative agreement with what is required by energy conservation.
| 14.333666
| 13.6759
| 13.503583
| 13.175853
| 15.101513
| 14.190289
| 14.723726
| 13.667947
| 13.765297
| 14.388552
| 13.611276
| 14.154695
| 13.375259
| 13.413901
| 13.766957
| 13.985209
| 14.227486
| 13.630351
| 13.848573
| 13.431812
| 13.521509
|
1207.4199
|
Gokce Basar
|
Gokce Basar and Gerald V. Dunne
|
The Chiral Magnetic Effect and Axial Anomalies
|
33 pages, 5 figures, to appear in Lect. Notes Phys. "Strongly
interacting matter in magnetic fields" (Springer), edited by D. Kharzeev, K.
Landsteiner, A. Schmitt, H.-U. Yee
|
Lect.Notes Phys. 871 (2013) 261-294
|
10.1007/978-3-642-37305-3_10
| null |
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We give an elementary derivation of the chiral magnetic effect based on a
strong magnetic field lowest-Landau-level projection in conjunction with the
well-known axial anomalies in two- and four-dimensional space-time. The
argument is general, based on a Schur decomposition of the Dirac operator. In
the dimensionally reduced theory, the chiral magnetic effect is directly
related to the relativistic form of the Peierls instability, leading to a
spiral form of the condensate, the chiral magnetic spiral. We then discuss the
competition between spin projection, due to a strong magnetic field, and
chirality projection, due to an instanton, for light fermions in QCD and QED.
The resulting asymmetric distortion of the zero modes and near-zero modes is
another aspect of the chiral magnetic effect.
|
[
{
"created": "Tue, 17 Jul 2012 20:00:48 GMT",
"version": "v1"
}
] |
2013-09-26
|
[
[
"Basar",
"Gokce",
""
],
[
"Dunne",
"Gerald V.",
""
]
] |
We give an elementary derivation of the chiral magnetic effect based on a strong magnetic field lowest-Landau-level projection in conjunction with the well-known axial anomalies in two- and four-dimensional space-time. The argument is general, based on a Schur decomposition of the Dirac operator. In the dimensionally reduced theory, the chiral magnetic effect is directly related to the relativistic form of the Peierls instability, leading to a spiral form of the condensate, the chiral magnetic spiral. We then discuss the competition between spin projection, due to a strong magnetic field, and chirality projection, due to an instanton, for light fermions in QCD and QED. The resulting asymmetric distortion of the zero modes and near-zero modes is another aspect of the chiral magnetic effect.
| 10.732876
| 10.357517
| 10.301853
| 10.297623
| 11.462119
| 11.720998
| 10.183787
| 11.210086
| 9.751795
| 11.3816
| 10.676442
| 10.504428
| 10.110888
| 9.826426
| 10.472535
| 9.683172
| 10.130016
| 10.278679
| 9.958269
| 9.846922
| 10.003366
|
2303.11334
|
David Chester PhD
|
David Chester, Alessio Marrani, Daniele Corradetti, Raymond Aschheim,
Klee Irwin
|
Dixon-Rosenfeld Lines and the Standard Model
|
46 pages with references, 1 figure, 3 tables
|
Eur. Phys. J. C (2023) 83: 849
|
10.1140/epjc/s10052-023-12006-8
| null |
hep-th hep-ph math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
We present three new coset manifolds named Dixon-Rosenfeld lines that are
similar to Rosenfeld projective lines except over the Dixon algebra
$\mathbb{C}\otimes\mathbb{H}\otimes\mathbb{O}$. Three different Lie groups are
found as isometry groups of these coset manifolds using Tits' formula. We
demonstrate how Standard Model interactions with the Dixon algebra in recent
work from Furey and Hughes can be uplifted to tensor products of division
algebras and Jordan algebras for a single generation of fermions. The
Freudenthal-Tits construction clarifies how the three Dixon-Rosenfeld
projective lines are contained within $\mathbb{C}\otimes\mathbb{H}\otimes
J_{2}(\mathbb{O})$, $\mathbb{O}\otimes J_{2}(\mathbb{C}\otimes\mathbb{H})$, and
$\mathbb{C}\otimes\mathbb{O}\otimes J_{2}(\mathbb{H})$.
|
[
{
"created": "Sat, 18 Mar 2023 01:11:31 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Oct 2023 22:02:44 GMT",
"version": "v2"
}
] |
2023-10-17
|
[
[
"Chester",
"David",
""
],
[
"Marrani",
"Alessio",
""
],
[
"Corradetti",
"Daniele",
""
],
[
"Aschheim",
"Raymond",
""
],
[
"Irwin",
"Klee",
""
]
] |
We present three new coset manifolds named Dixon-Rosenfeld lines that are similar to Rosenfeld projective lines except over the Dixon algebra $\mathbb{C}\otimes\mathbb{H}\otimes\mathbb{O}$. Three different Lie groups are found as isometry groups of these coset manifolds using Tits' formula. We demonstrate how Standard Model interactions with the Dixon algebra in recent work from Furey and Hughes can be uplifted to tensor products of division algebras and Jordan algebras for a single generation of fermions. The Freudenthal-Tits construction clarifies how the three Dixon-Rosenfeld projective lines are contained within $\mathbb{C}\otimes\mathbb{H}\otimes J_{2}(\mathbb{O})$, $\mathbb{O}\otimes J_{2}(\mathbb{C}\otimes\mathbb{H})$, and $\mathbb{C}\otimes\mathbb{O}\otimes J_{2}(\mathbb{H})$.
| 6.577899
| 7.01091
| 7.416155
| 6.750654
| 7.098882
| 7.402122
| 7.132955
| 6.80269
| 6.728139
| 7.285903
| 6.70597
| 6.453316
| 6.531838
| 6.348889
| 6.25345
| 6.639594
| 6.432043
| 6.466919
| 6.412128
| 6.567356
| 6.304477
|
1510.03488
|
Mikhail A. Vasiliev
|
O.A. Gelfond and M.A. Vasiliev
|
Symmetries of higher-spin current interactions in four dimensions
|
19 pages, contribution to the volume in honor of Igor Viktorovich
Tyutin; V2: 20 pages, clarifications added, typos corrected, the version to
be published in TMPh
| null |
10.1134/S0040577916060015
|
FIAN/TD/2015-11
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Current interaction of massless fields in four dimensions is shown to break
sp (8) symmetry of free massless equations of all spins down to the conformal
symmetry su (2,2). This breaking is in agreement with the form of nonlinear
higher-spin field equations.
|
[
{
"created": "Tue, 13 Oct 2015 00:12:27 GMT",
"version": "v1"
},
{
"created": "Sun, 6 Mar 2016 22:20:05 GMT",
"version": "v2"
}
] |
2016-07-20
|
[
[
"Gelfond",
"O. A.",
""
],
[
"Vasiliev",
"M. A.",
""
]
] |
Current interaction of massless fields in four dimensions is shown to break sp (8) symmetry of free massless equations of all spins down to the conformal symmetry su (2,2). This breaking is in agreement with the form of nonlinear higher-spin field equations.
| 21.220316
| 17.855381
| 21.337439
| 16.800024
| 15.818769
| 17.364122
| 15.709951
| 14.355865
| 17.308731
| 20.943676
| 16.279032
| 15.339396
| 19.569841
| 17.510845
| 16.785044
| 15.856037
| 15.563183
| 16.272419
| 18.564573
| 20.524012
| 17.836723
|
hep-th/9503127
|
John Schwarz
|
John H. Schwarz (Caltech)
|
String Theory Symmetries
|
13 pages, latex
| null | null |
CALT-68-1984
|
hep-th
| null |
A brief review of the status of duality symmetries in string theory is
presented. The evidence is accumulating rapidly that an enormous group of
duality symmetries, including perturbative T dualities and non-perturbative
S-dualities, underlies string theory. It is my hope that an understanding of
these symmetries will suggest the right way to formulate non-perturbative
string theory. Whether or not this hope is realized, it has already been
demonstrated that this line of inquiry leads to powerful new tools for
understanding gauge theories and new evidence for the uniqueness of string
theory, as well as deep mathematical results.
|
[
{
"created": "Mon, 20 Mar 1995 21:57:47 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Schwarz",
"John H.",
"",
"Caltech"
]
] |
A brief review of the status of duality symmetries in string theory is presented. The evidence is accumulating rapidly that an enormous group of duality symmetries, including perturbative T dualities and non-perturbative S-dualities, underlies string theory. It is my hope that an understanding of these symmetries will suggest the right way to formulate non-perturbative string theory. Whether or not this hope is realized, it has already been demonstrated that this line of inquiry leads to powerful new tools for understanding gauge theories and new evidence for the uniqueness of string theory, as well as deep mathematical results.
| 7.058252
| 6.344379
| 6.887864
| 6.103506
| 6.560341
| 6.406078
| 6.746751
| 6.550394
| 6.397323
| 7.127092
| 6.232212
| 6.380559
| 6.9343
| 6.41868
| 6.63695
| 6.588879
| 6.591724
| 6.517826
| 6.318379
| 6.743597
| 6.244015
|
1912.00153
|
Xian-Hui Ge
|
Wei Sun, Xian-Hui Ge
|
Complexity growth rate, grand potential and partition function
|
1+26 pages, 1 table, 4 figures, references added
|
General Relativity and Gravitation (2022) 54:46
|
10.1007/s10714-022-02933-4
| null |
hep-th cond-mat.str-el gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We examine the complexity/volume conjecture and further investigate the
possible connections between complexity and partition function. The
complexity/volume 2.0 states that the complexity growth rate
$\mathcal{\dot{C}}\sim PV$. In the standard statistics, there is a fundamental
relation among $PV$, the grand potential $\Omega$ and the partition function
$\mathcal{Z}$. By using this relation, we are able to construct an ansatz
between complexity and partition function. The complexity/partition function
relation is then utilized to study the complexity of the thermofield double
state of extended SYK models for various conditions. The relation between
complexity growth rate and black hole phase transition is also discussed.
|
[
{
"created": "Sat, 30 Nov 2019 07:55:46 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Dec 2019 07:30:41 GMT",
"version": "v2"
}
] |
2022-05-24
|
[
[
"Sun",
"Wei",
""
],
[
"Ge",
"Xian-Hui",
""
]
] |
We examine the complexity/volume conjecture and further investigate the possible connections between complexity and partition function. The complexity/volume 2.0 states that the complexity growth rate $\mathcal{\dot{C}}\sim PV$. In the standard statistics, there is a fundamental relation among $PV$, the grand potential $\Omega$ and the partition function $\mathcal{Z}$. By using this relation, we are able to construct an ansatz between complexity and partition function. The complexity/partition function relation is then utilized to study the complexity of the thermofield double state of extended SYK models for various conditions. The relation between complexity growth rate and black hole phase transition is also discussed.
| 10.4671
| 9.369088
| 10.451398
| 9.294985
| 8.859984
| 9.2764
| 9.675858
| 8.913714
| 8.785211
| 10.078855
| 9.559621
| 8.984014
| 9.878152
| 8.954245
| 8.598175
| 9.449507
| 9.223839
| 8.953496
| 8.852161
| 9.5854
| 9.331585
|
hep-th/0412324
|
Matej Pavsic
|
Matej Pavsic
|
Rigid Particle and its Spin Revisited
|
37 pages
|
Found.Phys. 37 (2007) 40-79
|
10.1007/s10701-006-9094-4
| null |
hep-th gr-qc math-ph math.MP
| null |
The arguments by Pandres that the double valued spherical harmonics provide a
basis for the irreducible spinor representation of the three dimensional
rotation group are further developed and justified. The usual arguments against
the inadmissibility of such functions, concerning hermiticity, orthogonality,
behavior under rotations, etc., are all shown to be related to the unsuitable
choice of functions representing the states with opposite projections of
angular momentum. By a correct choice of functions and definition of inner
product those difficulties do not occur. And yet the orbital angular momentum
in the ordinary configuration space can have integer eigenvalues only, for the
reason which have roots in the nature of quantum mechanics in such space. The
situation is different in the velocity space of the rigid particle, whose
action contains a term with the extrinsic curvature.
|
[
{
"created": "Thu, 30 Dec 2004 10:51:27 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Jun 2005 16:41:01 GMT",
"version": "v2"
},
{
"created": "Fri, 27 Jan 2006 10:27:19 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Pavsic",
"Matej",
""
]
] |
The arguments by Pandres that the double valued spherical harmonics provide a basis for the irreducible spinor representation of the three dimensional rotation group are further developed and justified. The usual arguments against the inadmissibility of such functions, concerning hermiticity, orthogonality, behavior under rotations, etc., are all shown to be related to the unsuitable choice of functions representing the states with opposite projections of angular momentum. By a correct choice of functions and definition of inner product those difficulties do not occur. And yet the orbital angular momentum in the ordinary configuration space can have integer eigenvalues only, for the reason which have roots in the nature of quantum mechanics in such space. The situation is different in the velocity space of the rigid particle, whose action contains a term with the extrinsic curvature.
| 18.770796
| 19.158312
| 18.298367
| 16.938
| 18.977892
| 20.317047
| 18.09511
| 17.042076
| 17.096796
| 20.358587
| 17.346048
| 17.530891
| 17.740175
| 17.976559
| 17.330902
| 17.990704
| 18.220053
| 17.521502
| 18.313959
| 17.817993
| 17.599031
|
hep-th/0607035
|
Shinya Tomizawa
|
Hideki Ishihara, Masashi Kimura, Ken Matsuno and Shinya Tomizawa
|
Black Holes on Eguchi-Hanson Space in Five-Dimensional Einstein-Maxwell
Theory
|
4 pages, to be published as a Brief Report in Physical Review D
|
Phys.Rev. D74 (2006) 047501
|
10.1103/PhysRevD.74.047501
| null |
hep-th
| null |
We construct a pair of black holes on the Eguchi-Hanson space as a solution
in the five-dimensional Einstein-Maxwell theory.
|
[
{
"created": "Thu, 6 Jul 2006 09:59:33 GMT",
"version": "v1"
},
{
"created": "Sat, 22 Jul 2006 05:50:22 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Ishihara",
"Hideki",
""
],
[
"Kimura",
"Masashi",
""
],
[
"Matsuno",
"Ken",
""
],
[
"Tomizawa",
"Shinya",
""
]
] |
We construct a pair of black holes on the Eguchi-Hanson space as a solution in the five-dimensional Einstein-Maxwell theory.
| 10.056059
| 5.90792
| 6.310167
| 6.167974
| 6.253309
| 5.852334
| 5.819514
| 5.77651
| 5.861677
| 6.585858
| 6.921184
| 7.316865
| 7.647018
| 7.357129
| 7.398727
| 7.827468
| 7.259975
| 7.281655
| 7.671382
| 7.150599
| 7.98075
|
2001.03845
|
Edward Basso
|
Edward Basso and Daniel J. H. Chung
|
Lorentz Invariance of Basis Tensor Gauge Theory
| null | null |
10.1142/S0217751X21500998
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Basis tensor gauge theory (BTGT) is a vierbein analog reformulation of
ordinary gauge theories in which the vierbein field describes the Wilson line.
After a brief review of the BTGT, we clarify the Lorentz group representation
properties associated with the variables used for its quantization. In
particular, we show that starting from an SO(1,3) representation satisfying the
Lorentz-invariant U(1,3) matrix constraints, BTGT introduces a Lorentz frame
choice to pick the Abelian group manifold generated by the Cartan subalgebra of
u(1,3) for the convenience of quantization even though the theory is frame
independent. This freedom to choose a frame can be viewed as an additional
symmetry of BTGT that was not emphasized before. We then show how an $S_4$
permutation symmetry and a parity symmetry of frame fields natural in BTGT can
be used to construct renormalizable gauge theories that introduce frame
dependent fields but remain frame independent perturbatively without any
explicit reference to the usual gauge field.
|
[
{
"created": "Sun, 12 Jan 2020 04:36:05 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Jan 2020 19:52:32 GMT",
"version": "v2"
}
] |
2021-07-07
|
[
[
"Basso",
"Edward",
""
],
[
"Chung",
"Daniel J. H.",
""
]
] |
Basis tensor gauge theory (BTGT) is a vierbein analog reformulation of ordinary gauge theories in which the vierbein field describes the Wilson line. After a brief review of the BTGT, we clarify the Lorentz group representation properties associated with the variables used for its quantization. In particular, we show that starting from an SO(1,3) representation satisfying the Lorentz-invariant U(1,3) matrix constraints, BTGT introduces a Lorentz frame choice to pick the Abelian group manifold generated by the Cartan subalgebra of u(1,3) for the convenience of quantization even though the theory is frame independent. This freedom to choose a frame can be viewed as an additional symmetry of BTGT that was not emphasized before. We then show how an $S_4$ permutation symmetry and a parity symmetry of frame fields natural in BTGT can be used to construct renormalizable gauge theories that introduce frame dependent fields but remain frame independent perturbatively without any explicit reference to the usual gauge field.
| 13.289845
| 12.673347
| 13.658913
| 12.280607
| 13.899785
| 12.403568
| 11.961193
| 11.84551
| 12.647314
| 13.340271
| 13.004547
| 12.797281
| 13.195674
| 12.782617
| 12.595024
| 12.753308
| 12.350864
| 13.0934
| 12.683788
| 12.954054
| 12.524767
|
hep-th/9710141
| null |
Hitoshi Nishino
|
Lagrangian and Covariant Field Equations for Supersymmetric Yang-Mills
Theory in 12D
|
14 pages, latex, no figures
|
Phys.Lett. B426 (1998) 64-72
|
10.1016/S0370-2693(98)00110-5
|
UMDEPP 98-050
|
hep-th
| null |
We present a lagrangian formulation for recently-proposed supersymmetric
Yang-Mills theory in twelve dimensions. The field content of our multiplet has
an additional auxiliary vector field in the adjoint representation. The usual
Yang-Mills field strength is modified by a Chern-Simons form containing this
auxiliary vector field. This formulation needs no constraint imposed on the
component field from outside, and a constraint on the Yang-Mills field is
generated as the field equation of the auxiliary vector field. The invariance
check of the action is also performed without any reference to constraints by
hand. Even though the total lagrangian takes a simple form, it has several
highly non-trivial extra symmetries. We couple this twelve-dimensional
supersymmetric Yang-Mills background to Green-Schwarz superstring, and confirm
fermionic kappa-invariance. As another improvement of this theory, we present a
set of fully Lorentz-covariant and supercovariant field equations with no use
of null-vectors. This system has an additional scalar field, whose gradient
plays a role of the null-vector. This system exhibits spontaneous breaking of
the original Lorentz symmetry SO(10,2) for twelve-dimensions down to SO(9,1)
for ten-dimensions.
|
[
{
"created": "Fri, 17 Oct 1997 21:37:21 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Nishino",
"Hitoshi",
""
]
] |
We present a lagrangian formulation for recently-proposed supersymmetric Yang-Mills theory in twelve dimensions. The field content of our multiplet has an additional auxiliary vector field in the adjoint representation. The usual Yang-Mills field strength is modified by a Chern-Simons form containing this auxiliary vector field. This formulation needs no constraint imposed on the component field from outside, and a constraint on the Yang-Mills field is generated as the field equation of the auxiliary vector field. The invariance check of the action is also performed without any reference to constraints by hand. Even though the total lagrangian takes a simple form, it has several highly non-trivial extra symmetries. We couple this twelve-dimensional supersymmetric Yang-Mills background to Green-Schwarz superstring, and confirm fermionic kappa-invariance. As another improvement of this theory, we present a set of fully Lorentz-covariant and supercovariant field equations with no use of null-vectors. This system has an additional scalar field, whose gradient plays a role of the null-vector. This system exhibits spontaneous breaking of the original Lorentz symmetry SO(10,2) for twelve-dimensions down to SO(9,1) for ten-dimensions.
| 10.450257
| 10.060172
| 11.391955
| 10.092708
| 10.459287
| 10.261934
| 10.66267
| 9.770237
| 9.68688
| 11.946057
| 10.257535
| 9.968303
| 10.538999
| 10.059601
| 10.176467
| 9.949443
| 10.146845
| 10.133929
| 10.027769
| 10.527208
| 10.059059
|
0905.4715
|
Marcelo B. Hott
|
Augusto E. R. Chumbes, Marcelo B. Hott
|
Non-polynomial potentials with deformable topological structures
|
16 pages, 5 figures
|
Phys.Rev.D81:045008,2010
|
10.1103/PhysRevD.81.045008
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct models of self-interacting scalar fields whose BPS solutions
exhibit kink profiles which can be continuously deformed into two-kinks by
varying one of the parameters of the self-interacting potential. The effective
models are obtained from other models with two interacting scalar fields. The
effective models are then applied in a brane-world scenario where we analyze
the consequences of the thicker branes in the warped geometry and in the
localization of gravity.
|
[
{
"created": "Thu, 28 May 2009 18:56:16 GMT",
"version": "v1"
}
] |
2010-04-06
|
[
[
"Chumbes",
"Augusto E. R.",
""
],
[
"Hott",
"Marcelo B.",
""
]
] |
We construct models of self-interacting scalar fields whose BPS solutions exhibit kink profiles which can be continuously deformed into two-kinks by varying one of the parameters of the self-interacting potential. The effective models are obtained from other models with two interacting scalar fields. The effective models are then applied in a brane-world scenario where we analyze the consequences of the thicker branes in the warped geometry and in the localization of gravity.
| 14.059438
| 12.306002
| 14.113441
| 11.648491
| 12.228379
| 12.121729
| 11.59236
| 11.674161
| 11.924167
| 14.646798
| 11.428208
| 12.460644
| 14.749414
| 13.303464
| 12.533765
| 12.484258
| 12.008255
| 12.786884
| 12.914538
| 13.894513
| 12.571539
|
hep-th/0508017
|
Norisuke Sakai
|
Minoru Eto, Youich Isozumi, Muneto Nitta, Keisuke Ohashi, and Norisuke
Sakai
|
Solitons in Supersymmetric Gauge Theories
|
7 pages, 7 figures, Talk at PASCOS2005
|
AIP Conf.Proc. 805 (2005) 266
|
10.1063/1.2149709
|
TIT/HEP-542
|
hep-th
| null |
Recent results on BPS solitons in the Higgs phase of supersymmetric (SUSY)
gauge theories with eight supercharges are reviewed. For U(N_C) gauge theories
with the N_F(>N_C) hypermultiplets in the fundamental representation, the total
moduli space of walls are found to be the complex Grassmann manifold
SU(N_F)/[SU(N_C)xSU(N_F-N_C)xU(1)]. The monopole in the Higgs phase has to
accompany vortices, and preserves a 1/4 of SUSY. We find that walls are also
allowed to coexist with them. We obtain all the solutions of such 1/4 BPS
composite solitons in the strong coupling limit. Instantons in the Higgs phase
is also obtained as 1/4 BPS states. As another instructive example, we take
U(1)xU(1) gauge theories with four hypermultiplets. We find that the moduli
space is the union of several special Lagrangian submanifolds of the Higgs
branch vacua of the corresponding massless theory. We also observe
transmutation of walls and repulsion and attraction of BPS walls. This is a
review of recent works on the subject, which was given at the conference by
N.Sakai.
|
[
{
"created": "Tue, 2 Aug 2005 11:18:38 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Eto",
"Minoru",
""
],
[
"Isozumi",
"Youich",
""
],
[
"Nitta",
"Muneto",
""
],
[
"Ohashi",
"Keisuke",
""
],
[
"Sakai",
"Norisuke",
""
]
] |
Recent results on BPS solitons in the Higgs phase of supersymmetric (SUSY) gauge theories with eight supercharges are reviewed. For U(N_C) gauge theories with the N_F(>N_C) hypermultiplets in the fundamental representation, the total moduli space of walls are found to be the complex Grassmann manifold SU(N_F)/[SU(N_C)xSU(N_F-N_C)xU(1)]. The monopole in the Higgs phase has to accompany vortices, and preserves a 1/4 of SUSY. We find that walls are also allowed to coexist with them. We obtain all the solutions of such 1/4 BPS composite solitons in the strong coupling limit. Instantons in the Higgs phase is also obtained as 1/4 BPS states. As another instructive example, we take U(1)xU(1) gauge theories with four hypermultiplets. We find that the moduli space is the union of several special Lagrangian submanifolds of the Higgs branch vacua of the corresponding massless theory. We also observe transmutation of walls and repulsion and attraction of BPS walls. This is a review of recent works on the subject, which was given at the conference by N.Sakai.
| 7.156781
| 6.749418
| 8.079791
| 6.240946
| 6.823054
| 6.722444
| 6.765325
| 6.451
| 6.790846
| 9.109412
| 6.478555
| 6.899636
| 7.452181
| 6.899039
| 6.872041
| 6.85533
| 6.948444
| 6.964012
| 6.893574
| 7.413268
| 6.708238
|
2012.13303
|
Nick R.D. Zhu
|
Hirotaka Hayashi, Rui-Dong Zhu
|
More on topological vertex formalism for 5-brane webs with O5-plane
|
41+12 pages, minor corrections in v2
|
JHEP04(2021)292
|
10.1007/JHEP04(2021)292
|
DIAS-STP-20-10
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a concrete form of a vertex function, which we call O-vertex, for
the intersection between an O5-plane and a 5-brane in the topological vertex
formalism, as an extension of the work of arXiv:1709.01928. Using the O-vertex
it is possible to compute the Nekrasov partition functions of 5d theories
realized on any 5-brane web diagrams with O5-planes. We apply our proposal to
5-brane webs with an O5-plane and compute the partition functions of pure
SO($N$) gauge theories and the pure $G_2$ gauge theory. The obtained results
agree with the results known in the literature. We also compute the partition
function of the pure SU(3) gauge theory with the Chern-Simons level $9$. At the
end we rewrite the O-vertex in a form of a vertex operator.
|
[
{
"created": "Thu, 24 Dec 2020 16:00:19 GMT",
"version": "v1"
},
{
"created": "Wed, 12 May 2021 05:50:40 GMT",
"version": "v2"
}
] |
2021-05-13
|
[
[
"Hayashi",
"Hirotaka",
""
],
[
"Zhu",
"Rui-Dong",
""
]
] |
We propose a concrete form of a vertex function, which we call O-vertex, for the intersection between an O5-plane and a 5-brane in the topological vertex formalism, as an extension of the work of arXiv:1709.01928. Using the O-vertex it is possible to compute the Nekrasov partition functions of 5d theories realized on any 5-brane web diagrams with O5-planes. We apply our proposal to 5-brane webs with an O5-plane and compute the partition functions of pure SO($N$) gauge theories and the pure $G_2$ gauge theory. The obtained results agree with the results known in the literature. We also compute the partition function of the pure SU(3) gauge theory with the Chern-Simons level $9$. At the end we rewrite the O-vertex in a form of a vertex operator.
| 6.482926
| 5.711224
| 6.780913
| 5.67143
| 5.662229
| 5.85327
| 5.85271
| 5.732328
| 5.669357
| 7.343117
| 5.848426
| 5.691896
| 6.337081
| 5.818217
| 5.811385
| 5.786301
| 5.851748
| 5.650861
| 5.855029
| 6.440351
| 5.759986
|
1405.0332
|
John Klauder
|
John R. Klauder
|
Nontrivial Quantization of $\phi^4_n$, $n\ge2$
|
10 pages. arXiv admin note: substantial text overlap with
arXiv:1112.0803, updated text, added dedication
| null |
10.1007/s11232-015-0247-5
| null |
hep-th hep-lat math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Conventional quantization of covariant scalar field models $\phi^4_n$, for
spacetime dimensions $n\ge5$ are trivial, and this may also be true for $n=4$
as well. However, an alternative ${\cal O}(\hbar)$ counterterm leads to
nontrivial results for all $n\ge4$, and provides a different quantization for
$n=2,3$ as well. In this article we determine the counterterm that provides
these desirable properties as simply and directly as possible. The same
counterterm also resolves models such as $\phi^p_n$ for all even $p$, including
those where $p>2n/(n-2)$, which are traditionally regarded as
nonrenormalizable.
|
[
{
"created": "Fri, 2 May 2014 01:30:44 GMT",
"version": "v1"
},
{
"created": "Sat, 27 Sep 2014 22:01:03 GMT",
"version": "v2"
}
] |
2015-06-19
|
[
[
"Klauder",
"John R.",
""
]
] |
Conventional quantization of covariant scalar field models $\phi^4_n$, for spacetime dimensions $n\ge5$ are trivial, and this may also be true for $n=4$ as well. However, an alternative ${\cal O}(\hbar)$ counterterm leads to nontrivial results for all $n\ge4$, and provides a different quantization for $n=2,3$ as well. In this article we determine the counterterm that provides these desirable properties as simply and directly as possible. The same counterterm also resolves models such as $\phi^p_n$ for all even $p$, including those where $p>2n/(n-2)$, which are traditionally regarded as nonrenormalizable.
| 8.554695
| 7.813492
| 8.597964
| 8.256854
| 8.750936
| 8.253833
| 8.158962
| 8.115884
| 7.975215
| 8.845788
| 8.041957
| 7.962683
| 8.17925
| 7.897147
| 7.980571
| 7.910508
| 8.222174
| 7.968889
| 8.032614
| 8.229733
| 8.060489
|
1505.04826
|
Senarath P. de Alwis
|
S.P. de Alwis
|
One PI and Wilsonian Actions in SUSY theories
|
Reference added; 14 pages, 1 figure
| null | null | null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The soft breaking terms in supersymmetric theories are calculated at some
high scale characterizing the hidden supersymmetry breaking sector, and then
evolved down to the TeV scale. These parameters are usually presented as the
ones that should be compared to experiment. The physical parameters however are
those occurring in the quantum effective (1PI) action - in particular the
physical mass is the location of the pole in the full quantum propagator. Here
we discuss the relation between the two and the possible existence of additive
contributions to the gaugino mass. We argue that infra red effects which
violate non-renormalization theorems are absent (for the 1PI action) if the
calculation is done at a generic point in field space so that an effective IR
cutoff is present. It follows that if a gaugino mass term is absent in the
Wilsonian action it is absent in the 1PI action.
|
[
{
"created": "Mon, 18 May 2015 21:49:44 GMT",
"version": "v1"
},
{
"created": "Tue, 26 May 2015 16:26:25 GMT",
"version": "v2"
}
] |
2015-05-27
|
[
[
"de Alwis",
"S. P.",
""
]
] |
The soft breaking terms in supersymmetric theories are calculated at some high scale characterizing the hidden supersymmetry breaking sector, and then evolved down to the TeV scale. These parameters are usually presented as the ones that should be compared to experiment. The physical parameters however are those occurring in the quantum effective (1PI) action - in particular the physical mass is the location of the pole in the full quantum propagator. Here we discuss the relation between the two and the possible existence of additive contributions to the gaugino mass. We argue that infra red effects which violate non-renormalization theorems are absent (for the 1PI action) if the calculation is done at a generic point in field space so that an effective IR cutoff is present. It follows that if a gaugino mass term is absent in the Wilsonian action it is absent in the 1PI action.
| 10.948604
| 11.140246
| 10.518841
| 9.910977
| 10.147602
| 10.830386
| 11.016389
| 10.177862
| 9.782915
| 11.044881
| 10.03455
| 9.995724
| 10.412593
| 10.263611
| 10.050838
| 10.043695
| 10.158267
| 10.305828
| 10.033194
| 10.11494
| 9.670164
|
1505.03386
|
Massimiliano Rinaldi
|
Massimiliano Rinaldi, Luciano Vanzo, Sergio Zerbini, and Giovanni
Venturi
|
Inflationary quasi-scale invariant attractors
|
Version accepted for publication in Phys. Rev. D
|
Phys. Rev. D 93, 024040 (2016)
|
10.1103/PhysRevD.93.024040
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In a series of recent papers Kallosh, Linde, and collaborators have provided
a unified description of single-field inflation with several types of
potentials, ranging from power law to supergravity, in terms of just one
parameter $\alpha$. These so-called $\alpha$-attractors predict a spectral
index $n_{s}$ and a tensor-to-scalar ratio $r$, which are fully compatible with
the latest Planck data. The only common feature of all $\alpha$-attractors is a
non-canonical kinetic term with a pole, and a potential analytic around the
pole. In this paper, starting from the same Einstein frame with a non-canonical
scalar kinetic energy, we explore the case of non-analytic potentials. We find
the functional form that corresponds to quasi-scale invariant gravitational
models in the Jordan frame, characterised by a universal relation between $r$
and $n_{s}$ that fits the observational data but is clearly distinct from the
one of the $\alpha$-attractors. It is known that the breaking of the exact
classical scale-invariance in the Jordan frame can be attributed to one-loop
corrections. Therefore we conclude that there exists a class of non-analytic
potentials in the non-canonical Einstein frame that are physically equivalent
to a class of models in the Jordan frame, with scale-invariance softly broken
by one-loop quantum corrections.
|
[
{
"created": "Wed, 13 May 2015 13:56:56 GMT",
"version": "v1"
},
{
"created": "Tue, 19 May 2015 17:22:18 GMT",
"version": "v2"
},
{
"created": "Fri, 11 Sep 2015 13:57:36 GMT",
"version": "v3"
},
{
"created": "Mon, 11 Jan 2016 18:54:31 GMT",
"version": "v4"
}
] |
2016-02-03
|
[
[
"Rinaldi",
"Massimiliano",
""
],
[
"Vanzo",
"Luciano",
""
],
[
"Zerbini",
"Sergio",
""
],
[
"Venturi",
"Giovanni",
""
]
] |
In a series of recent papers Kallosh, Linde, and collaborators have provided a unified description of single-field inflation with several types of potentials, ranging from power law to supergravity, in terms of just one parameter $\alpha$. These so-called $\alpha$-attractors predict a spectral index $n_{s}$ and a tensor-to-scalar ratio $r$, which are fully compatible with the latest Planck data. The only common feature of all $\alpha$-attractors is a non-canonical kinetic term with a pole, and a potential analytic around the pole. In this paper, starting from the same Einstein frame with a non-canonical scalar kinetic energy, we explore the case of non-analytic potentials. We find the functional form that corresponds to quasi-scale invariant gravitational models in the Jordan frame, characterised by a universal relation between $r$ and $n_{s}$ that fits the observational data but is clearly distinct from the one of the $\alpha$-attractors. It is known that the breaking of the exact classical scale-invariance in the Jordan frame can be attributed to one-loop corrections. Therefore we conclude that there exists a class of non-analytic potentials in the non-canonical Einstein frame that are physically equivalent to a class of models in the Jordan frame, with scale-invariance softly broken by one-loop quantum corrections.
| 6.135189
| 6.541831
| 6.223934
| 5.996638
| 6.290297
| 6.23156
| 6.155746
| 6.037645
| 5.94381
| 6.56424
| 6.100836
| 6.049929
| 6.012905
| 5.946904
| 5.84603
| 5.908717
| 5.880673
| 5.969856
| 6.029515
| 5.930146
| 5.861221
|
0712.0217
|
Da-Wei Pang
|
Rong-Gen Cai, Da-Wei Pang
|
A Note on Exact Solutions and Attractor Mechanism for Non-BPS Black
Holes
|
20 pages, LaTeX
|
JHEP 0801:046,2008
|
10.1088/1126-6708/2008/01/046
|
CAS-KITPC/ITP-022
|
hep-th
| null |
We obtain two extremal, spherically symmetric, non-BPS black hole solutions
to 4D supergravity, one of which carries D2-D6 charges and the other carries
D0-D2-D4 charges. For the D2-D6 case, rather than solving the equations of
motion directly, we assume the form of the solution and then find that the
assumption satisfies the equations of motion and the constraint. Our D2-D6
solution is manifestly dual to the solution presented in 0710.4967. The
D0-D2-D4 solution is obtained by performing certain $[SL(2,{\bf Z})]^{3}$
duality transformations on the D0-D4 solution in 0710.4967.
|
[
{
"created": "Mon, 3 Dec 2007 06:21:04 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Dec 2007 11:02:55 GMT",
"version": "v2"
}
] |
2010-02-03
|
[
[
"Cai",
"Rong-Gen",
""
],
[
"Pang",
"Da-Wei",
""
]
] |
We obtain two extremal, spherically symmetric, non-BPS black hole solutions to 4D supergravity, one of which carries D2-D6 charges and the other carries D0-D2-D4 charges. For the D2-D6 case, rather than solving the equations of motion directly, we assume the form of the solution and then find that the assumption satisfies the equations of motion and the constraint. Our D2-D6 solution is manifestly dual to the solution presented in 0710.4967. The D0-D2-D4 solution is obtained by performing certain $[SL(2,{\bf Z})]^{3}$ duality transformations on the D0-D4 solution in 0710.4967.
| 5.870371
| 5.370009
| 5.761001
| 5.093459
| 5.294301
| 5.23448
| 5.018135
| 5.427176
| 4.935537
| 5.647855
| 5.034459
| 5.233595
| 5.648394
| 5.141313
| 5.257772
| 5.164393
| 5.293908
| 5.126909
| 4.940426
| 5.521032
| 5.165354
|
hep-th/9306078
| null |
Giovanni Modanese (Center for Theoretical Physics, M.I.T., Cambridge,
MA U.S.A.)
|
A formula for the static potential energy in quantum gravity
|
13 pages, LaTex, report CTP #2217, June 1993. -- REVISED VERSION: the
section "Interaction energy versus ADM energy has been rewritten"
| null | null | null |
hep-th
| null |
We give a general expression for the static potential energy of the
gravitational interaction of two massive particles, in terms of an invariant
vacuum expectation value of the quantized gravitational field. This formula
holds for functional integral formulations of euclidean quantum gravity,
regularized to avoid conformal instability. It could be regarded as the
analogue of the Wilson loop for gauge theories and allows in principle, through
numerical simulations or other approximation techniques, non perturbative
evaluations of the potential or of the effective coupling constant. The
geometrical meaning of this expression is quite simple, as it represents the
``average proper-time delay'', respect to two neighboring lines, of a very long
geodesic with unit timelike tangent vector.
|
[
{
"created": "Thu, 17 Jun 1993 09:16:52 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Nov 1993 18:15:16 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Modanese",
"Giovanni",
"",
"Center for Theoretical Physics, M.I.T., Cambridge,\n MA U.S.A."
]
] |
We give a general expression for the static potential energy of the gravitational interaction of two massive particles, in terms of an invariant vacuum expectation value of the quantized gravitational field. This formula holds for functional integral formulations of euclidean quantum gravity, regularized to avoid conformal instability. It could be regarded as the analogue of the Wilson loop for gauge theories and allows in principle, through numerical simulations or other approximation techniques, non perturbative evaluations of the potential or of the effective coupling constant. The geometrical meaning of this expression is quite simple, as it represents the ``average proper-time delay'', respect to two neighboring lines, of a very long geodesic with unit timelike tangent vector.
| 15.205389
| 11.678571
| 14.81915
| 12.199555
| 12.731616
| 11.783588
| 12.60034
| 12.101008
| 12.232172
| 16.651194
| 13.397722
| 13.51092
| 14.186053
| 13.646537
| 14.05676
| 13.675635
| 14.079339
| 13.59856
| 13.644029
| 14.404046
| 14.33717
|
1604.01015
|
Masahiro Morikawa
|
Masahiro Morikawa
|
Infrared Divergence Separated for Stochastic Force - Langevin Evolution
in the Inflationary Era
|
8 pages
| null | null | null |
hep-th astro-ph.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Inflation in the early Universe is a grand phase transition which have
produced the seeds of all the structures we now observe. We focus on the
non-equilibrium aspect of this phase transition especially the inevitable
infrared (IR) divergence associated to the the quantum and classical fields
during the inflation. There is a long history of research for removing this IR
divergence for healthy perturbation calculations. On the other hand, the same
IR divergence is quite relevant and have developed the primordial density
fluctuations in the early Universe. We develop a unified formalism in which the
IR divergence is clearly separated from the microscopic quantum field theory
but only appear in the statistical classical structure. We derive the classical
Langevin equation for the order parameter within the quantum field theory
through the instability of the de Sitter vacuum during the inflation. This
separation process is relevant in general to develop macroscopic structures and
to derive the basic properties of statistical mechanics in the quantum field
theory.
|
[
{
"created": "Sun, 3 Apr 2016 03:29:23 GMT",
"version": "v1"
}
] |
2016-04-06
|
[
[
"Morikawa",
"Masahiro",
""
]
] |
Inflation in the early Universe is a grand phase transition which have produced the seeds of all the structures we now observe. We focus on the non-equilibrium aspect of this phase transition especially the inevitable infrared (IR) divergence associated to the the quantum and classical fields during the inflation. There is a long history of research for removing this IR divergence for healthy perturbation calculations. On the other hand, the same IR divergence is quite relevant and have developed the primordial density fluctuations in the early Universe. We develop a unified formalism in which the IR divergence is clearly separated from the microscopic quantum field theory but only appear in the statistical classical structure. We derive the classical Langevin equation for the order parameter within the quantum field theory through the instability of the de Sitter vacuum during the inflation. This separation process is relevant in general to develop macroscopic structures and to derive the basic properties of statistical mechanics in the quantum field theory.
| 17.446934
| 18.478064
| 18.106125
| 16.906919
| 18.100176
| 19.193998
| 18.34553
| 17.91164
| 17.097101
| 17.914703
| 17.456892
| 16.915594
| 15.989643
| 16.067461
| 16.749149
| 16.425438
| 16.849573
| 16.444878
| 16.191309
| 15.760005
| 16.826843
|
hep-th/0005087
|
Rob Leigh
|
David Berenstein, Vishnu Jejjala and Robert G. Leigh (UIUC)
|
Marginal and Relevant Deformations of N=4 Field Theories and
Non-Commutative Moduli Spaces of Vacua
|
60 pages, 4 figures, JHEP format, amsfonts, amssymb, amsmath
|
Nucl.Phys. B589 (2000) 196-248
|
10.1016/S0550-3213(00)00394-1
|
ILL-(TH)-00-04
|
hep-th math.AG math.QA
| null |
We study marginal and relevant supersymmetric deformations of the N=4
super-Yang-Mills theory in four dimensions. Our primary innovation is the
interpretation of the moduli spaces of vacua of these theories as
non-commutative spaces. The construction of these spaces relies on the
representation theory of the related quantum algebras, which are obtained from
F-term constraints. These field theories are dual to superstring theories
propagating on deformations of the AdS_5xS^5 geometry. We study D-branes
propagating in these vacua and introduce the appropriate notion of algebraic
geometry for non-commutative spaces. The resulting moduli spaces of D-branes
have several novel features. In particular, they may be interpreted as
symmetric products of non-commutative spaces. We show how mirror symmetry
between these deformed geometries and orbifold theories follows from T-duality.
Many features of the dual closed string theory may be identified within the
non-commutative algebra. In particular, we make progress towards understanding
the K-theory necessary for backgrounds where the Neveu-Schwarz antisymmetric
tensor of the string is turned on, and we shed light on some aspects of
discrete anomalies based on the non-commutative geometry.
|
[
{
"created": "Tue, 9 May 2000 21:25:25 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Berenstein",
"David",
"",
"UIUC"
],
[
"Jejjala",
"Vishnu",
"",
"UIUC"
],
[
"Leigh",
"Robert G.",
"",
"UIUC"
]
] |
We study marginal and relevant supersymmetric deformations of the N=4 super-Yang-Mills theory in four dimensions. Our primary innovation is the interpretation of the moduli spaces of vacua of these theories as non-commutative spaces. The construction of these spaces relies on the representation theory of the related quantum algebras, which are obtained from F-term constraints. These field theories are dual to superstring theories propagating on deformations of the AdS_5xS^5 geometry. We study D-branes propagating in these vacua and introduce the appropriate notion of algebraic geometry for non-commutative spaces. The resulting moduli spaces of D-branes have several novel features. In particular, they may be interpreted as symmetric products of non-commutative spaces. We show how mirror symmetry between these deformed geometries and orbifold theories follows from T-duality. Many features of the dual closed string theory may be identified within the non-commutative algebra. In particular, we make progress towards understanding the K-theory necessary for backgrounds where the Neveu-Schwarz antisymmetric tensor of the string is turned on, and we shed light on some aspects of discrete anomalies based on the non-commutative geometry.
| 8.328539
| 7.949287
| 9.201597
| 7.705057
| 8.500085
| 8.160729
| 8.008887
| 7.96572
| 7.563565
| 9.44206
| 7.616625
| 7.901988
| 8.421371
| 7.602906
| 7.960837
| 8.012262
| 7.939856
| 8.02893
| 7.853023
| 8.359095
| 7.934809
|
1312.1357
|
Carroll Wainwright II
|
Carroll L. Wainwright, Matthew C. Johnson, Hiranya V. Peiris, Anthony
Aguirre, Luis Lehner, Steven L. Liebling
|
Simulating the universe(s): from cosmic bubble collisions to
cosmological observables with numerical relativity
|
52 pages, 23 figures. A four page summary of methods and results
follows the introduction. Version 2 contains minor clarifications and edits
to match the version accepted for publication by JCAP. Version 3 fixes a typo
in Eq. 3.10 and a typo in the paragraph after Eq. 5.27. All other text,
including results, remains the same
|
JCAP03(2014)030
|
10.1088/1475-7516/2014/03/030
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The theory of eternal inflation in an inflaton potential with multiple vacua
predicts that our universe is one of many bubble universes nucleating and
growing inside an ever-expanding false vacuum. The collision of our bubble with
another could provide an important observational signature to test this
scenario. We develop and implement an algorithm for accurately computing the
cosmological observables arising from bubble collisions directly from the
Lagrangian of a single scalar field. We first simulate the collision spacetime
by solving Einstein's equations, starting from nucleation and ending at
reheating. Taking advantage of the collision's hyperbolic symmetry, simulations
are performed with a 1+1-dimensional fully relativistic code that uses adaptive
mesh refinement. We then calculate the comoving curvature perturbation in an
open Friedmann-Robertson-Walker universe, which is used to determine the
temperature anisotropies of the cosmic microwave background radiation. For a
fiducial Lagrangian, the anisotropies are well described by a power law in the
cosine of the angular distance from the center of the collision signature. For
a given form of the Lagrangian, the resulting observational predictions are
inherently statistical due to stochastic elements of the bubble nucleation
process. Further uncertainties arise due to our imperfect knowledge about
inflationary and pre-recombination physics. We characterize observational
predictions by computing the probability distributions over four
phenomenological parameters which capture these intrinsic and model
uncertainties. This represents the first fully-relativistic set of predictions
from an ensemble of scalar field models giving rise to eternal inflation,
yielding significant differences from previous non-relativistic approximations.
Thus, our results provide a basis for a rigorous confrontation of these
theories with cosmological data.
|
[
{
"created": "Wed, 4 Dec 2013 21:08:27 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Feb 2014 20:03:13 GMT",
"version": "v2"
},
{
"created": "Mon, 23 Jun 2014 19:34:24 GMT",
"version": "v3"
}
] |
2014-06-24
|
[
[
"Wainwright",
"Carroll L.",
""
],
[
"Johnson",
"Matthew C.",
""
],
[
"Peiris",
"Hiranya V.",
""
],
[
"Aguirre",
"Anthony",
""
],
[
"Lehner",
"Luis",
""
],
[
"Liebling",
"Steven L.",
""
]
] |
The theory of eternal inflation in an inflaton potential with multiple vacua predicts that our universe is one of many bubble universes nucleating and growing inside an ever-expanding false vacuum. The collision of our bubble with another could provide an important observational signature to test this scenario. We develop and implement an algorithm for accurately computing the cosmological observables arising from bubble collisions directly from the Lagrangian of a single scalar field. We first simulate the collision spacetime by solving Einstein's equations, starting from nucleation and ending at reheating. Taking advantage of the collision's hyperbolic symmetry, simulations are performed with a 1+1-dimensional fully relativistic code that uses adaptive mesh refinement. We then calculate the comoving curvature perturbation in an open Friedmann-Robertson-Walker universe, which is used to determine the temperature anisotropies of the cosmic microwave background radiation. For a fiducial Lagrangian, the anisotropies are well described by a power law in the cosine of the angular distance from the center of the collision signature. For a given form of the Lagrangian, the resulting observational predictions are inherently statistical due to stochastic elements of the bubble nucleation process. Further uncertainties arise due to our imperfect knowledge about inflationary and pre-recombination physics. We characterize observational predictions by computing the probability distributions over four phenomenological parameters which capture these intrinsic and model uncertainties. This represents the first fully-relativistic set of predictions from an ensemble of scalar field models giving rise to eternal inflation, yielding significant differences from previous non-relativistic approximations. Thus, our results provide a basis for a rigorous confrontation of these theories with cosmological data.
| 8.682881
| 9.882031
| 8.835182
| 8.608594
| 9.973471
| 9.344956
| 10.25162
| 9.060597
| 9.437034
| 9.74439
| 8.939603
| 9.147837
| 8.87064
| 8.677664
| 8.939524
| 9.152433
| 9.029163
| 8.713903
| 8.895633
| 8.56743
| 8.784174
|
hep-th/9507092
|
Arlen Anderson
|
Arlen Anderson
|
An elegant solution of the n-body Toda problem
|
LaTeX, 13 pp
|
J.Math.Phys. 37 (1996) 1349-1355
|
10.1063/1.531465
|
IFP-UNC-95-513
|
hep-th
| null |
The solution of the classical open-chain n-body Toda problem is derived from
an ansatz and is found to have a highly symmetric form. The proof requires an
unusual identity involving Vandermonde determinants. The explicit
transformation to action-angle variables is exhibited.
|
[
{
"created": "Wed, 19 Jul 1995 01:21:31 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Anderson",
"Arlen",
""
]
] |
The solution of the classical open-chain n-body Toda problem is derived from an ansatz and is found to have a highly symmetric form. The proof requires an unusual identity involving Vandermonde determinants. The explicit transformation to action-angle variables is exhibited.
| 17.398588
| 16.205141
| 16.589119
| 18.034018
| 16.078047
| 16.685728
| 15.892628
| 15.803219
| 17.453131
| 22.005825
| 14.923923
| 17.038317
| 19.42153
| 17.608135
| 18.379717
| 18.111496
| 17.651609
| 17.34169
| 17.870274
| 18.89583
| 16.679138
|
hep-th/9507127
|
Vivian F. Incera
|
E. J. Ferrer and V. de la Incera
|
Regge trajectories of the charged string in a magnetic background
|
11 pages, Latex. Corrected reference 15
|
Int.J.Mod.Phys. A11 (1996) 3875-3884
|
10.1103/PhysRevD.52.1011
|
SUNY-FRE-95-03
|
hep-th
| null |
The set of Casimir operators associated with the global symmetries of a
charged string in a constant magnetic background are found. It is shown that
the string rest energy can be expressed as a combination of these invariants.
Using this result, the Regge trajectories of the system are derived. The first
Regge trajectory is given by a family of infinitely many parallel
straight-lines, one for each spin projection along the magnetic field.
|
[
{
"created": "Mon, 24 Jul 1995 23:52:06 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Jul 1995 21:06:18 GMT",
"version": "v2"
},
{
"created": "Wed, 30 Aug 1995 22:12:47 GMT",
"version": "v3"
},
{
"created": "Wed, 30 Aug 1995 22:15:25 GMT",
"version": "v4"
}
] |
2009-10-28
|
[
[
"Ferrer",
"E. J.",
""
],
[
"de la Incera",
"V.",
""
]
] |
The set of Casimir operators associated with the global symmetries of a charged string in a constant magnetic background are found. It is shown that the string rest energy can be expressed as a combination of these invariants. Using this result, the Regge trajectories of the system are derived. The first Regge trajectory is given by a family of infinitely many parallel straight-lines, one for each spin projection along the magnetic field.
| 10.364434
| 9.882483
| 9.871975
| 9.688128
| 11.255611
| 10.543116
| 9.976693
| 9.248817
| 9.376822
| 10.86383
| 10.118355
| 9.156796
| 9.48825
| 9.741144
| 9.540709
| 9.166327
| 9.027298
| 9.529013
| 9.25677
| 9.940785
| 9.555588
|
1110.1300
|
Mauricio Bellini
|
Pablo Alejandro S\'anchez, Mariano Anabitarte, Mauricio Bellini
(IFIMAR and Mar del Plata University)
|
Dirac equation for massive neutrinos in a Schwarzschild-de Sitter
spacetime from a 5D vacuum
|
accepted in Physics Letters B
| null |
10.1016/j.physletb.2011.10.058
| null |
hep-th astro-ph.HE gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Starting from a Dirac equation for massless neutrino in a 5D Ricci-flat
background metric, we obtain the effective 4D equation for massive neutrino in
a Schwarzschild-de Sitter (SdS) background metric from an extended SdS 5D
Ricci-flat metric. We use the fact that the spin connection is defined to an
accuracy of a vector, so that the covariant derivative of the spinor field is
strongly dependent of the background geometry. We show that the mass of the
neutrino can be induced from the extra space-like dimension.
|
[
{
"created": "Thu, 6 Oct 2011 15:32:14 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Oct 2011 18:28:23 GMT",
"version": "v2"
},
{
"created": "Wed, 26 Oct 2011 11:41:17 GMT",
"version": "v3"
}
] |
2015-05-30
|
[
[
"Sánchez",
"Pablo Alejandro",
"",
"IFIMAR and Mar del Plata University"
],
[
"Anabitarte",
"Mariano",
"",
"IFIMAR and Mar del Plata University"
],
[
"Bellini",
"Mauricio",
"",
"IFIMAR and Mar del Plata University"
]
] |
Starting from a Dirac equation for massless neutrino in a 5D Ricci-flat background metric, we obtain the effective 4D equation for massive neutrino in a Schwarzschild-de Sitter (SdS) background metric from an extended SdS 5D Ricci-flat metric. We use the fact that the spin connection is defined to an accuracy of a vector, so that the covariant derivative of the spinor field is strongly dependent of the background geometry. We show that the mass of the neutrino can be induced from the extra space-like dimension.
| 6.953894
| 7.282543
| 6.067917
| 6.322259
| 6.856642
| 6.970941
| 7.271396
| 6.444596
| 6.515679
| 6.931526
| 6.709445
| 7.02289
| 6.407406
| 6.507325
| 6.906207
| 6.869715
| 6.73714
| 6.509313
| 6.687249
| 6.690264
| 6.621142
|
hep-th/0601036
|
Yael Shadmi
|
Andrey Katz, Yael Shadmi, Yuri Shirman
|
Supersymmetry breaking and the radion in AdS_4 brane-worlds
|
20 pages, no figures;discussion of radion potential expanded
|
Phys.Rev.D75:055008,2007
|
10.1103/PhysRevD.75.055008
| null |
hep-th
| null |
We compute the one-loop correction to the radion potential in the
Randall-Sundrum model with detuned brane tensions, with supersymmetry broken by
boundary conditions. We concentrate on the small-warping limit, where the
one-loop correction is significant. With pure supergravity, the correction is
negative, but with bulk hypermultiplets, the correction can be positive, so
that the 4d curvature can be lowered, with the radion stable. We use both the
KK theory, and the 4d radion effective theory for this study.
|
[
{
"created": "Fri, 6 Jan 2006 09:21:11 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Aug 2006 18:00:04 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Katz",
"Andrey",
""
],
[
"Shadmi",
"Yael",
""
],
[
"Shirman",
"Yuri",
""
]
] |
We compute the one-loop correction to the radion potential in the Randall-Sundrum model with detuned brane tensions, with supersymmetry broken by boundary conditions. We concentrate on the small-warping limit, where the one-loop correction is significant. With pure supergravity, the correction is negative, but with bulk hypermultiplets, the correction can be positive, so that the 4d curvature can be lowered, with the radion stable. We use both the KK theory, and the 4d radion effective theory for this study.
| 9.796439
| 8.639543
| 9.439008
| 7.949559
| 9.072289
| 9.043059
| 8.36799
| 7.881303
| 8.140977
| 10.404704
| 8.520135
| 8.665507
| 9.348036
| 8.751466
| 8.573018
| 9.092695
| 9.100729
| 8.827113
| 8.617722
| 9.285943
| 8.826558
|
1605.00036
|
Igor Bandos
|
Igor Bandos
|
BCFW-type recurrent relations for tree amplitudes of D=11 supergravity
|
RevTeX, 4+1 pages, no figures. V2. Missed multiplier and symbol have
been inserted in (40), and a few coefficients and misprints have been
corrected. V3: (Close to the) version published in PRL, 118 (2017); contains
a link to supplemental material
|
Phys. Rev. Lett. 118, 031601 (2017)
|
10.1103/PhysRevLett.118.031601
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose the on-shell superfield description for tree amplitudes of D=11
supergravity and the BCFW (Britto-Cachazo-Feng-Witten)-type recurrent relations
for these superamplitudes.
|
[
{
"created": "Fri, 29 Apr 2016 22:38:07 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Aug 2016 09:58:52 GMT",
"version": "v2"
},
{
"created": "Mon, 6 Feb 2017 18:02:24 GMT",
"version": "v3"
}
] |
2017-02-07
|
[
[
"Bandos",
"Igor",
""
]
] |
We propose the on-shell superfield description for tree amplitudes of D=11 supergravity and the BCFW (Britto-Cachazo-Feng-Witten)-type recurrent relations for these superamplitudes.
| 9.871733
| 7.652596
| 10.833689
| 7.935009
| 9.657582
| 9.2428
| 8.985822
| 8.640757
| 9.867335
| 12.154966
| 8.153823
| 7.536589
| 9.898075
| 8.375515
| 8.380136
| 7.78667
| 7.895531
| 8.226668
| 8.321425
| 10.243838
| 7.913107
|
2402.14465
|
Andreas Gustavsson
|
Andreas Gustavsson
|
Lightlike conformal reduction of 6d $(1,0)$ theories
|
27 pages
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We study 6d $(1,0)$ superconformal theories. These have a natural lightlike
conformal Killing vector, the Dirac current. We perform a conformal dimensional
reduction along the Dirac current down to five-dimensions in such a way that we
always preserve at least two real supercharges
|
[
{
"created": "Thu, 22 Feb 2024 11:51:23 GMT",
"version": "v1"
},
{
"created": "Wed, 29 May 2024 10:29:36 GMT",
"version": "v2"
}
] |
2024-05-30
|
[
[
"Gustavsson",
"Andreas",
""
]
] |
We study 6d $(1,0)$ superconformal theories. These have a natural lightlike conformal Killing vector, the Dirac current. We perform a conformal dimensional reduction along the Dirac current down to five-dimensions in such a way that we always preserve at least two real supercharges
| 9.996305
| 9.22434
| 13.136441
| 8.894324
| 10.867195
| 9.578336
| 9.76475
| 9.574833
| 9.256181
| 13.352033
| 9.521659
| 9.359671
| 11.002364
| 8.986423
| 8.797464
| 8.906679
| 9.056218
| 8.920154
| 9.029816
| 10.539647
| 8.649238
|
hep-th/0505065
|
Tsutomu Kobayashi
|
Tsutomu Kobayashi and Takahiro Tanaka
|
Quantum-mechanical generation of gravitational waves in braneworld
|
11 pages, 11 figures
|
Phys.Rev. D71 (2005) 124028
|
10.1103/PhysRevD.71.124028
|
KUNS-1970
|
hep-th astro-ph gr-qc
| null |
We study the quantum-mechanical generation of gravitational waves during
inflation on a brane embedded in a five-dimensional anti-de Sitter bulk. To
make the problem well-posed, we consider the setup in which both initial and
final phases are given by a de Sitter brane with different values of the Hubble
expansion rate. Assuming that the quantum state is in a de Sitter invariant
vacuum in the initial de Sitter phase, we numerically evaluate the amplitude of
quantum fluctuations of the growing solution of the zero mode in the final de
Sitter phase. We find that the vacuum fluctuations of the initial Kaluza-Klein
gravitons as well as of the zero mode gravitons contribute to the final
amplitude of the zero mode on small scales, and the power spectrum is quite
well approximated by what we call the rescaled spectrum, which is obtained by
rescaling the standard four-dimensional calculation following a simple mapping
rule. Our results confirm the speculation raised in Ref.
\cite{Kobayashi:2003cn} before.
|
[
{
"created": "Sat, 7 May 2005 08:05:11 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Kobayashi",
"Tsutomu",
""
],
[
"Tanaka",
"Takahiro",
""
]
] |
We study the quantum-mechanical generation of gravitational waves during inflation on a brane embedded in a five-dimensional anti-de Sitter bulk. To make the problem well-posed, we consider the setup in which both initial and final phases are given by a de Sitter brane with different values of the Hubble expansion rate. Assuming that the quantum state is in a de Sitter invariant vacuum in the initial de Sitter phase, we numerically evaluate the amplitude of quantum fluctuations of the growing solution of the zero mode in the final de Sitter phase. We find that the vacuum fluctuations of the initial Kaluza-Klein gravitons as well as of the zero mode gravitons contribute to the final amplitude of the zero mode on small scales, and the power spectrum is quite well approximated by what we call the rescaled spectrum, which is obtained by rescaling the standard four-dimensional calculation following a simple mapping rule. Our results confirm the speculation raised in Ref. \cite{Kobayashi:2003cn} before.
| 7.712728
| 8.387003
| 7.740639
| 7.421316
| 7.995801
| 7.918441
| 7.957224
| 7.956923
| 7.699366
| 7.803986
| 7.394623
| 7.626451
| 7.411727
| 7.292111
| 7.555262
| 7.501896
| 7.559067
| 7.280203
| 7.472863
| 7.631128
| 7.433999
|
2304.06073
|
Ergin Sezgin
|
Hao-Yuan Chang, Ergin Sezgin and Yoshiaki Tanii
|
Higher derivative couplings of hypermultiplets
|
29 pages
| null |
10.1007/JHEP06(2023)172
|
MI-HET-799, STUPP-23-261
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct the four-derivative supersymmetric extension of $(1,0), 6D$
supergravity coupled to Yang-Mills and hypermultiplets. The hypermultiplet
scalars are taken to parametrize the quaternionic projective space
$Hp(n)=Sp(n,1)/Sp(n)\times Sp(1)_R$. The hyperscalar kinetic term is not
deformed, and the quaternionic K\"ahler structure and symmetries of $Hp(n)$ are
preserved. The result is a three parameter Lagrangian supersymmetric up to
first order in these parameters. Considering the case of $Hp(1)$ we compare our
result with that obtained from the compactification of $10D$ heterotic
supergravity on four-torus, consistently truncated to $N=(1,0)$, in which the
hyperscalars parametrize $SO(4,1)/SO(4)$. We find that depending on how $Sp(1)
\subset Sp(1,1)$ is embedded in $SO(4)$, the results agree for a specific value
of the parameter that governs the higher derivative hypermultiplet couplings.
|
[
{
"created": "Wed, 12 Apr 2023 18:00:03 GMT",
"version": "v1"
}
] |
2023-07-12
|
[
[
"Chang",
"Hao-Yuan",
""
],
[
"Sezgin",
"Ergin",
""
],
[
"Tanii",
"Yoshiaki",
""
]
] |
We construct the four-derivative supersymmetric extension of $(1,0), 6D$ supergravity coupled to Yang-Mills and hypermultiplets. The hypermultiplet scalars are taken to parametrize the quaternionic projective space $Hp(n)=Sp(n,1)/Sp(n)\times Sp(1)_R$. The hyperscalar kinetic term is not deformed, and the quaternionic K\"ahler structure and symmetries of $Hp(n)$ are preserved. The result is a three parameter Lagrangian supersymmetric up to first order in these parameters. Considering the case of $Hp(1)$ we compare our result with that obtained from the compactification of $10D$ heterotic supergravity on four-torus, consistently truncated to $N=(1,0)$, in which the hyperscalars parametrize $SO(4,1)/SO(4)$. We find that depending on how $Sp(1) \subset Sp(1,1)$ is embedded in $SO(4)$, the results agree for a specific value of the parameter that governs the higher derivative hypermultiplet couplings.
| 6.250715
| 6.192498
| 7.033266
| 6.261292
| 6.274882
| 6.088245
| 6.052235
| 6.135691
| 6.047979
| 6.862917
| 6.030619
| 6.09404
| 6.489941
| 5.970729
| 6.02169
| 5.919802
| 6.074075
| 6.100484
| 5.920589
| 6.262277
| 6.06545
|
1908.11190
|
David A. Lowe
|
David A Lowe and Mengyang Tong
|
Black Hole Interiors via Spin Models
|
21 pages, 10 figures
|
Phys. Rev. D 102, 026008 (2020)
|
10.1103/PhysRevD.102.026008
|
BROWN-HET-1784
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
To model the interior of a black hole, a study is made of a spin system with
long-range random four-spin couplings that exhibits quantum chaos. The black
hole limit corresponds to a system where the microstates are approximately
degenerate and equally likely, corresponding to the high temperature limit of
the spin system. At the leading level of approximation, reconstruction of bulk
physics implies that local probes of the black hole should exhibit free
propagation and unitary local evolution. We test the conjecture that a
particular mean field Hamiltonian provides such a local bulk Hamiltonian by
numerically solving the exact Schrodinger equation and comparing the time
evolution to the approximate mean field time values. We find excellent
agreement between the two time evolutions for timescales smaller than the
scrambling time. In earlier work, it was shown bulk evolution along comparable
timeslices is spoiled by the presence of the curvature singularity, thus the
matching found in the present work provides evidence of the success of this
approach to interior holography. The numerical solutions also provide a useful
testing ground for various measures of quantum chaos and global scrambling. A
number of different observables, such as entanglement entropy,
out-of-time-order correlators, and trace distance are used to study these
effects. This leads to a suitable definition of scrambling time, and evidence
is presented showing a logarithmic variation with the system size.
|
[
{
"created": "Thu, 29 Aug 2019 12:55:58 GMT",
"version": "v1"
}
] |
2020-07-15
|
[
[
"Lowe",
"David A",
""
],
[
"Tong",
"Mengyang",
""
]
] |
To model the interior of a black hole, a study is made of a spin system with long-range random four-spin couplings that exhibits quantum chaos. The black hole limit corresponds to a system where the microstates are approximately degenerate and equally likely, corresponding to the high temperature limit of the spin system. At the leading level of approximation, reconstruction of bulk physics implies that local probes of the black hole should exhibit free propagation and unitary local evolution. We test the conjecture that a particular mean field Hamiltonian provides such a local bulk Hamiltonian by numerically solving the exact Schrodinger equation and comparing the time evolution to the approximate mean field time values. We find excellent agreement between the two time evolutions for timescales smaller than the scrambling time. In earlier work, it was shown bulk evolution along comparable timeslices is spoiled by the presence of the curvature singularity, thus the matching found in the present work provides evidence of the success of this approach to interior holography. The numerical solutions also provide a useful testing ground for various measures of quantum chaos and global scrambling. A number of different observables, such as entanglement entropy, out-of-time-order correlators, and trace distance are used to study these effects. This leads to a suitable definition of scrambling time, and evidence is presented showing a logarithmic variation with the system size.
| 13.862699
| 13.411512
| 14.590193
| 13.402606
| 13.64449
| 14.052092
| 13.389655
| 13.548832
| 13.644403
| 15.642662
| 13.680776
| 13.056709
| 13.167727
| 13.040808
| 13.314528
| 13.134177
| 12.791077
| 13.269423
| 12.901492
| 13.509228
| 13.349521
|
hep-th/9809148
|
Ali H. Chamseddine
|
Ali H. Chamseddine
|
Chiral Anomalies in the Spectral Action
|
7 pages. To appear in the book "Quantum Groups and Fundamental
Physical Interactions", Editor: D. Kastler, Publisher: Nova Science
Publishing Company
| null | null |
CAMS/98-05
|
hep-th
| null |
The definition of the spectral action involves the trace operator over states
in the physical Hilbert space. We show that in the presence of chiral fermions
there are consistency conditions on the fermionic representations. These
conditions are identical to the conditions for absence of gauge and
gravitational anomalies obtained in the path integral formalism.
|
[
{
"created": "Mon, 21 Sep 1998 09:28:19 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Chamseddine",
"Ali H.",
""
]
] |
The definition of the spectral action involves the trace operator over states in the physical Hilbert space. We show that in the presence of chiral fermions there are consistency conditions on the fermionic representations. These conditions are identical to the conditions for absence of gauge and gravitational anomalies obtained in the path integral formalism.
| 12.246054
| 9.618101
| 11.486801
| 9.968505
| 8.498762
| 10.224204
| 9.122222
| 9.19429
| 9.154393
| 10.709021
| 10.001567
| 10.265764
| 10.355752
| 10.160929
| 10.508396
| 9.417968
| 9.791131
| 9.432893
| 10.109749
| 10.293429
| 9.852802
|
hep-th/0509053
|
Alexander Kalloniatis
|
M. Ghiotti (CSSM, Adelaide), A.C. Kalloniatis (CSSM, Adelaide), A.G.
Williams (CSSM, Adelaide)
|
Landau gauge Jacobian and BRST symmetry
|
11 pages, uses elsart.cls style file
|
Phys.Lett.B628:176-182,2005
|
10.1016/j.physletb.2005.09.015
|
ADP-05-13/T623
|
hep-th
| null |
We propose a generalisation of the Faddeev-Popov trick for Yang-Mills fields
in the Landau gauge. The gauge-fixing is achieved as a genuine change of
variables. In particular the Jacobian that appears is the modulus of the
standard Faddeev-Popov determinant. We give a path integral representation of
this in terms of auxiliary bosonic and Grassman fields extended beyond the
usual set for standard Landau gauge BRST. The gauge-fixing Lagrangian density
appearing in this context is local and enjoys a new extended BRST and anti-BRST
symmetry though the gauge-fixing Lagrangian density in this case is not BRST
exact.
|
[
{
"created": "Thu, 8 Sep 2005 05:16:10 GMT",
"version": "v1"
}
] |
2010-03-04
|
[
[
"Ghiotti",
"M.",
"",
"CSSM, Adelaide"
],
[
"Kalloniatis",
"A. C.",
"",
"CSSM, Adelaide"
],
[
"Williams",
"A. G.",
"",
"CSSM, Adelaide"
]
] |
We propose a generalisation of the Faddeev-Popov trick for Yang-Mills fields in the Landau gauge. The gauge-fixing is achieved as a genuine change of variables. In particular the Jacobian that appears is the modulus of the standard Faddeev-Popov determinant. We give a path integral representation of this in terms of auxiliary bosonic and Grassman fields extended beyond the usual set for standard Landau gauge BRST. The gauge-fixing Lagrangian density appearing in this context is local and enjoys a new extended BRST and anti-BRST symmetry though the gauge-fixing Lagrangian density in this case is not BRST exact.
| 9.317628
| 9.514622
| 10.504662
| 8.897055
| 9.721971
| 9.495837
| 10.028724
| 8.655641
| 8.412607
| 11.618081
| 8.822199
| 9.144233
| 9.741759
| 9.089106
| 9.084797
| 9.177971
| 8.990384
| 9.267913
| 9.209332
| 9.533235
| 9.070923
|
2112.04420
|
Stepan Sidorov Dr.
|
Evgeny Ivanov, Stepan Sidorov
|
Couplings of ${\cal N}=4$, $d=1$ mirror supermultiplets
|
1+18 pages, appendix added and some other minor changes, published
version
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct models of coupled semi-dynamical (spin) and dynamical mirror
multiplets of ${\cal N}=4$ supersymmetric mechanics in $d=1$ harmonic
superspace. Specifically, we consider a semi-dynamical mirror multiplet ${\bf
(3,4,1)}$ coupled to dynamical mirror multiplets ${\bf (1, 4, 3)}$ and ${\bf
(2, 4, 2)}$. Coupling of the multiplets ${\bf (3, 4, 1)}$ and ${\bf (1, 4, 3)}$
yields a mirror counterpart of the earlier constructed model implying the Nahm
equations for the spin variables with the bosonic component of the multiplet
${\bf (1, 4, 3)}$ as an evolution parameter. We also couple the mirror
multiplet ${\bf (2,4,2)}$ to the mirror semi-dynamical multiplet ${\bf (3, 4,
1)}$ using chiral ${\cal N}=4$ superspace. The models constructed admit a
generalization to the SU$(2|1)$ deformation of ${\cal N}=4$, $d=1$ Poincar\'e
supersymmetry.
|
[
{
"created": "Wed, 8 Dec 2021 17:09:27 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Dec 2021 12:46:40 GMT",
"version": "v2"
},
{
"created": "Thu, 7 Apr 2022 14:15:16 GMT",
"version": "v3"
}
] |
2022-04-08
|
[
[
"Ivanov",
"Evgeny",
""
],
[
"Sidorov",
"Stepan",
""
]
] |
We construct models of coupled semi-dynamical (spin) and dynamical mirror multiplets of ${\cal N}=4$ supersymmetric mechanics in $d=1$ harmonic superspace. Specifically, we consider a semi-dynamical mirror multiplet ${\bf (3,4,1)}$ coupled to dynamical mirror multiplets ${\bf (1, 4, 3)}$ and ${\bf (2, 4, 2)}$. Coupling of the multiplets ${\bf (3, 4, 1)}$ and ${\bf (1, 4, 3)}$ yields a mirror counterpart of the earlier constructed model implying the Nahm equations for the spin variables with the bosonic component of the multiplet ${\bf (1, 4, 3)}$ as an evolution parameter. We also couple the mirror multiplet ${\bf (2,4,2)}$ to the mirror semi-dynamical multiplet ${\bf (3, 4, 1)}$ using chiral ${\cal N}=4$ superspace. The models constructed admit a generalization to the SU$(2|1)$ deformation of ${\cal N}=4$, $d=1$ Poincar\'e supersymmetry.
| 4.547077
| 4.206621
| 5.252885
| 4.308567
| 4.508187
| 4.180794
| 4.181991
| 3.99465
| 4.406528
| 5.406796
| 4.206638
| 4.126618
| 4.537534
| 4.285001
| 4.261722
| 4.24858
| 4.187027
| 4.106422
| 4.451982
| 4.687628
| 4.249062
|
1409.5570
|
Oliver Schnetz
|
David Broadhurst, Oliver Schnetz
|
Algebraic geometry informs perturbative quantum field theory
|
8 pages
|
Proc. Sci. 211 (2014) 078
| null | null |
hep-th math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Single-scale Feynman diagrams yield integrals that are periods, namely
projective integrals of rational functions of Schwinger parameters. Algebraic
geometry may therefore inform us of the types of number to which these
integrals evaluate. We give examples at 3, 4 and 6 loops of massive Feynman
diagrams that evaluate to Dirichlet $L$-series of modular forms and examples at
6, 7 and 8 loops of counterterms that evaluate to multiple zeta values or
polylogarithms of the sixth root of unity. At 8 loops and beyond, algebraic
geometry informs us that polylogs are insufficient for the evaluation of terms
in the beta-function of $\phi^4$ theory. Here, modular forms appear as
obstructions to polylogarithmic evaluation.
|
[
{
"created": "Fri, 19 Sep 2014 09:33:03 GMT",
"version": "v1"
}
] |
2014-09-22
|
[
[
"Broadhurst",
"David",
""
],
[
"Schnetz",
"Oliver",
""
]
] |
Single-scale Feynman diagrams yield integrals that are periods, namely projective integrals of rational functions of Schwinger parameters. Algebraic geometry may therefore inform us of the types of number to which these integrals evaluate. We give examples at 3, 4 and 6 loops of massive Feynman diagrams that evaluate to Dirichlet $L$-series of modular forms and examples at 6, 7 and 8 loops of counterterms that evaluate to multiple zeta values or polylogarithms of the sixth root of unity. At 8 loops and beyond, algebraic geometry informs us that polylogs are insufficient for the evaluation of terms in the beta-function of $\phi^4$ theory. Here, modular forms appear as obstructions to polylogarithmic evaluation.
| 10.416791
| 11.198997
| 11.031559
| 10.247116
| 11.774725
| 10.973845
| 9.97913
| 9.725974
| 9.506314
| 10.530203
| 9.645727
| 9.432641
| 9.802088
| 9.563248
| 9.020856
| 9.568295
| 9.504343
| 9.799935
| 9.936632
| 9.824565
| 9.886874
|
hep-th/0208185
|
Thomas Larsson
|
T.A. Larsson
|
Maximal depth implies su(3)+su(2)+u(1)
| null | null | null | null |
hep-th
| null |
Hence it excludes proton decay and supersymmetry. The main predictions of a
gauge model based on the exceptional simple Lie superalgebra mb(3|8) (a
localized version of su(3)+su(2)+u(1)) are reviewed.
|
[
{
"created": "Mon, 26 Aug 2002 06:03:25 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Larsson",
"T. A.",
""
]
] |
Hence it excludes proton decay and supersymmetry. The main predictions of a gauge model based on the exceptional simple Lie superalgebra mb(3|8) (a localized version of su(3)+su(2)+u(1)) are reviewed.
| 25.18642
| 22.588383
| 20.862179
| 19.133871
| 24.667658
| 22.961529
| 21.941187
| 19.729586
| 19.885616
| 19.64245
| 22.127132
| 21.015623
| 20.568417
| 19.846144
| 20.029505
| 20.965593
| 20.229353
| 21.110712
| 19.651365
| 21.658556
| 21.057343
|
1811.12235
|
Ivo Petr
|
Ladislav Hlavaty and Ivo Petr
|
Poisson-Lie T-plurality revisited. Is T-duality unique?
|
19 pages, v3 - published version
|
High Energ. Phys. (2019) 2019: 157
|
10.1007/JHEP04(2019)157
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate (non-)Abelian T-duality from the perspective of Poisson-Lie
T-plurality. We show that sigma models related by duality/plurality are given
not only by Manin triples obtained from decompositions of Drinfel'd double, but
also by their particular embeddings, i.e. maps that relate bases of these
decompositions. This allows us to get richer set of dual or plural sigma models
than previously thought. That's why we ask how T-duality is defined and what
should be the `canonical' duality or plurality transformation.
|
[
{
"created": "Thu, 29 Nov 2018 15:11:15 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Dec 2018 12:28:53 GMT",
"version": "v2"
},
{
"created": "Fri, 3 May 2019 13:54:01 GMT",
"version": "v3"
}
] |
2019-05-06
|
[
[
"Hlavaty",
"Ladislav",
""
],
[
"Petr",
"Ivo",
""
]
] |
We investigate (non-)Abelian T-duality from the perspective of Poisson-Lie T-plurality. We show that sigma models related by duality/plurality are given not only by Manin triples obtained from decompositions of Drinfel'd double, but also by their particular embeddings, i.e. maps that relate bases of these decompositions. This allows us to get richer set of dual or plural sigma models than previously thought. That's why we ask how T-duality is defined and what should be the `canonical' duality or plurality transformation.
| 12.248872
| 11.510736
| 12.578913
| 11.262459
| 12.090875
| 11.66449
| 12.144342
| 10.994581
| 10.222344
| 14.564357
| 10.30371
| 11.371955
| 11.871232
| 11.038715
| 10.651917
| 11.628511
| 10.939239
| 11.222671
| 11.099051
| 12.207534
| 11.267677
|
2305.01960
|
Axel Maas
|
Axel Maas
|
The Fr\"ohlich-Morchio-Strocchi mechanism: A underestimated legacy
|
28 pages, 5 figures. Invited chapter to the memorial volume "Rigorous
Trails Across Quantum and Classical Physics: A Volume in Tribute to Giovanni
Morchio" v2: Legal notice added
|
Springer, 2023
|
10.1007/978-3-031-44988-8
| null |
hep-th gr-qc hep-lat hep-ph physics.hist-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
There is an odd tension in electroweak physics. Perturbation theory is
extremely successful. At the same time, fundamental field theory gives manifold
reasons why this should not be the case. This tension is resolved by the
Fr\"ohlich-Morchio-Strocchi mechanism. However, the legacy of this work goes
far beyond the resolution of this tension, and may usher in a fundamentally and
ontologically different perspective on elementary particles, and even quantum
gravity.
|
[
{
"created": "Wed, 3 May 2023 08:22:37 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Feb 2024 09:45:05 GMT",
"version": "v2"
}
] |
2024-02-28
|
[
[
"Maas",
"Axel",
""
]
] |
There is an odd tension in electroweak physics. Perturbation theory is extremely successful. At the same time, fundamental field theory gives manifold reasons why this should not be the case. This tension is resolved by the Fr\"ohlich-Morchio-Strocchi mechanism. However, the legacy of this work goes far beyond the resolution of this tension, and may usher in a fundamentally and ontologically different perspective on elementary particles, and even quantum gravity.
| 13.873342
| 12.718561
| 11.826698
| 11.732319
| 11.995134
| 12.927677
| 12.726245
| 12.615683
| 12.256815
| 12.249084
| 12.062869
| 12.558032
| 12.084967
| 12.13204
| 12.206009
| 12.306482
| 11.884255
| 12.825418
| 12.313928
| 11.967939
| 12.574849
|
2308.03663
|
Edward Witten
|
Edward Witten
|
A Background Independent Algebra in Quantum Gravity
|
37 pp, various small improvements and added references in verstions.
2,3
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose an algebra of operators along an observer's worldline as a
background-independent algebra in quantum gravity. In that context, it is
natural to think of the Hartle-Hawking no boundary state as a universal state
of maximum entropy, and to define entropy in terms of the relative entropy with
this state. In the case that the only spacetimes considered correspond to de
Sitter vacua with different values of the cosmological constant, this
definition leads to sensible results.
|
[
{
"created": "Mon, 7 Aug 2023 15:26:00 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Sep 2023 18:50:27 GMT",
"version": "v2"
},
{
"created": "Sun, 24 Sep 2023 21:21:43 GMT",
"version": "v3"
}
] |
2023-09-26
|
[
[
"Witten",
"Edward",
""
]
] |
We propose an algebra of operators along an observer's worldline as a background-independent algebra in quantum gravity. In that context, it is natural to think of the Hartle-Hawking no boundary state as a universal state of maximum entropy, and to define entropy in terms of the relative entropy with this state. In the case that the only spacetimes considered correspond to de Sitter vacua with different values of the cosmological constant, this definition leads to sensible results.
| 12.161484
| 9.379749
| 10.017324
| 10.389451
| 11.310305
| 11.388145
| 10.139191
| 9.599602
| 9.845279
| 10.935768
| 10.176302
| 10.354759
| 10.881756
| 10.220024
| 10.19441
| 9.885427
| 10.522877
| 9.885601
| 10.360189
| 10.502492
| 10.626064
|
hep-th/9806001
|
Kazumi Okuyama
|
Kazumi Okuyama and Yuji Sugawara (Univ. of Tokyo)
|
Fractional Strings in (p,q) 5-brane and Quiver Matrix String Theory
|
21 pages, Latex
|
JHEP 9808:002,1998
|
10.1088/1126-6708/1998/08/002
|
UT-820
|
hep-th
| null |
We study the (p,q)5-brane dynamics from the viewpoint of Matrix string theory
in the T-dualized ALE background. The most remarkable feature in the
(p,q)5-brane is the existence of ``fractional string'', which appears as the
instanton of 5-brane gauge theory. We approach to the physical aspects of
fractional string by means of the two types of Matrix string probes: One of
which is that given in hep-th/9710065. As the second probe we present the
Matrix string theory describing the fractional string itself. We calculate the
moduli space metrics in the respective cases and argue on the specific
behaviors of fractional string. Especially, we show that the ``joining''
process of fractional strings can be realized as the transition from the
Coulomb branch to the Higgs branch of the fractional string probe. In this
argument, we emphasize the importance of some monodromies related with the
theta-angle of the 5-brane gauge theory.
|
[
{
"created": "Sat, 30 May 1998 08:38:44 GMT",
"version": "v1"
}
] |
2010-02-03
|
[
[
"Okuyama",
"Kazumi",
"",
"Univ. of Tokyo"
],
[
"Sugawara",
"Yuji",
"",
"Univ. of Tokyo"
]
] |
We study the (p,q)5-brane dynamics from the viewpoint of Matrix string theory in the T-dualized ALE background. The most remarkable feature in the (p,q)5-brane is the existence of ``fractional string'', which appears as the instanton of 5-brane gauge theory. We approach to the physical aspects of fractional string by means of the two types of Matrix string probes: One of which is that given in hep-th/9710065. As the second probe we present the Matrix string theory describing the fractional string itself. We calculate the moduli space metrics in the respective cases and argue on the specific behaviors of fractional string. Especially, we show that the ``joining'' process of fractional strings can be realized as the transition from the Coulomb branch to the Higgs branch of the fractional string probe. In this argument, we emphasize the importance of some monodromies related with the theta-angle of the 5-brane gauge theory.
| 9.565054
| 9.086593
| 10.222532
| 9.036098
| 8.738173
| 9.103554
| 8.390291
| 8.997261
| 8.557634
| 10.853415
| 8.466825
| 8.676213
| 9.684744
| 8.485472
| 8.661481
| 8.361519
| 8.607422
| 8.727803
| 8.625208
| 9.47763
| 8.479882
|
hep-th/0308186
|
Frank Meyer
|
Frank Meyer
|
Models of Gauge Field Theory on Noncommutative Spaces
|
89 pages,1 figure, Diploma-thesis
| null | null | null |
hep-th
| null |
In this Diploma-thesis models of gauge field theory on noncommutative spaces
are studied. On the canonically deformed plane we discuss the dependence of the
established gauge theory on the choice of the star product. Furthermore, gauge
field theory on the Eq(2)-symmetric plane is studied using two different
approaches, a star product approach and an algebraic approach.
|
[
{
"created": "Wed, 27 Aug 2003 19:11:13 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Aug 2003 20:03:04 GMT",
"version": "v2"
}
] |
2008-04-21
|
[
[
"Meyer",
"Frank",
""
]
] |
In this Diploma-thesis models of gauge field theory on noncommutative spaces are studied. On the canonically deformed plane we discuss the dependence of the established gauge theory on the choice of the star product. Furthermore, gauge field theory on the Eq(2)-symmetric plane is studied using two different approaches, a star product approach and an algebraic approach.
| 13.667665
| 12.189116
| 11.149361
| 10.610692
| 11.951115
| 10.30316
| 11.34469
| 11.316827
| 10.631472
| 13.484389
| 10.600421
| 10.40292
| 12.121464
| 10.632499
| 10.835466
| 10.679828
| 10.459265
| 10.572408
| 10.184331
| 12.182744
| 10.936463
|
1111.1959
|
Martin Kober
|
Martin Kober
|
Intersection of Yang-Mills Theory with Gauge Description of General
Relativity
|
12 pages
|
Int.J.Mod.Phys.A27:1250108,2012
|
10.1142/S0217751X12501084
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
An intersection of Yang-Mills theory with the gauge description of general
relativity is considered. This intersection has its origin in a generalized
algebra, where the generators of the SO(3,1) group as gauge group of general
relativity and the generators of a SU(N) group as gauge group of Yang-Mills
theory are not separated anymore but are related by fulfilling nontrivial
commutation relations with each other. Because of the Coleman Mandula theorem
this algebra cannot be postulated as Lie algebra. As consequence, extended
gauge transformations as well as an extended expression for the field strength
tensor is obtained, which contains a term consisting of products of the Yang
Mills connection and the connection of general relativity. Accordingly a new
gauge invariant action incorporating the additional term of the generalized
field strength tensor is built, which depends of course on the corresponding
tensor determining the additional intersection commutation relations. This
means that the theory describes a decisively modified interaction structure
between the Yang-Mills gauge field and the gravitational field leading to a
violation of the equivalence principle.
|
[
{
"created": "Tue, 8 Nov 2011 16:32:50 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Feb 2012 15:27:57 GMT",
"version": "v2"
},
{
"created": "Sun, 5 Aug 2012 13:33:04 GMT",
"version": "v3"
}
] |
2012-08-07
|
[
[
"Kober",
"Martin",
""
]
] |
An intersection of Yang-Mills theory with the gauge description of general relativity is considered. This intersection has its origin in a generalized algebra, where the generators of the SO(3,1) group as gauge group of general relativity and the generators of a SU(N) group as gauge group of Yang-Mills theory are not separated anymore but are related by fulfilling nontrivial commutation relations with each other. Because of the Coleman Mandula theorem this algebra cannot be postulated as Lie algebra. As consequence, extended gauge transformations as well as an extended expression for the field strength tensor is obtained, which contains a term consisting of products of the Yang Mills connection and the connection of general relativity. Accordingly a new gauge invariant action incorporating the additional term of the generalized field strength tensor is built, which depends of course on the corresponding tensor determining the additional intersection commutation relations. This means that the theory describes a decisively modified interaction structure between the Yang-Mills gauge field and the gravitational field leading to a violation of the equivalence principle.
| 11.503042
| 11.621284
| 11.780642
| 10.361437
| 11.12681
| 11.539859
| 11.343882
| 11.322435
| 10.537677
| 11.966431
| 10.929163
| 11.19369
| 10.940495
| 10.857388
| 10.796103
| 10.859086
| 10.817625
| 10.875207
| 11.077926
| 11.276328
| 11.123858
|
2103.07943
|
Nikhil Kalyanapuram
|
Nikhil Kalyanapuram
|
Ambitwistor Integrands from Tensionless Chiral Superstring Integrands
|
v2: 5 pages, references updated
|
JHEP 2110 (2021) 171
|
10.1007/JHEP10(2021)171
| null |
hep-th math-ph math.AG math.DG math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is established that in the tensionless limit the chiral superstring
integrand is reduced to the chiral integrand of the ambitwistor string.
|
[
{
"created": "Sun, 14 Mar 2021 14:51:15 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Mar 2021 13:09:54 GMT",
"version": "v2"
}
] |
2021-10-26
|
[
[
"Kalyanapuram",
"Nikhil",
""
]
] |
It is established that in the tensionless limit the chiral superstring integrand is reduced to the chiral integrand of the ambitwistor string.
| 17.214191
| 11.686826
| 12.657691
| 10.344881
| 12.755248
| 9.360458
| 11.234018
| 11.340301
| 10.058435
| 14.743145
| 12.05059
| 11.403452
| 12.737531
| 12.027533
| 11.333076
| 11.721658
| 10.489997
| 12.114654
| 11.732474
| 12.652884
| 11.299793
|
0807.1795
|
Andrey Slavnov A
|
A.A.Slavnov (Steklov Mathematical Institute, Moscow)
|
A Lorentz invariant formulation of the Yang-Mills theory with gauge
invariant ghost field Lagrangian
|
9 pages
|
JHEP 08(2008)047
|
10.1088/1126-6708/2008/08/047
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A new formulation of the Yang-Mills theory which allows a manifestly
covariant gauge fixing accompanied by a gauge invariant ghost field interaction
is proposed. The gauge condition selects a unique representative in the class
of gauge equivalent configurations.
|
[
{
"created": "Fri, 11 Jul 2008 08:22:59 GMT",
"version": "v1"
}
] |
2009-11-13
|
[
[
"Slavnov",
"A. A.",
"",
"Steklov Mathematical Institute, Moscow"
]
] |
A new formulation of the Yang-Mills theory which allows a manifestly covariant gauge fixing accompanied by a gauge invariant ghost field interaction is proposed. The gauge condition selects a unique representative in the class of gauge equivalent configurations.
| 12.732272
| 9.758809
| 11.042122
| 9.88722
| 9.510876
| 9.759923
| 9.611847
| 9.998954
| 10.973683
| 11.876868
| 9.512234
| 10.020715
| 10.719961
| 10.295955
| 9.724406
| 10.118874
| 10.244699
| 9.554524
| 10.342497
| 10.221737
| 9.764301
|
1106.4169
|
Pablo Soler
|
Mikel Berasaluce-Gonz\'alez, Luis E. Ib\'a\~nez, Pablo Soler, Angel M.
Uranga
|
Discrete gauge symmetries in D-brane models
|
46 pages, v2, minor changes, references added
| null |
10.1007/JHEP12(2011)113
|
IFT-UAM/CSIC-11-42
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In particle physics model building discrete symmetries are often invoked to
forbid unwanted or dangerous couplings. A classical example is the R-parity of
the MSSM, which guarantees the absence of dimension four baryon- and
lepton-number violating operators. Although phenomenologically useful, these
discrete symmetries are, in the context of field theory, poorly motivated at a
more fundamental level. Moreover, discrete {\em global} symmetries are expected
to be violated in consistent couplings to quantum gravity, while their {\em
gauged} versions are expected to actually exist. In this paper we study
discrete gauge symmetries in brane models in string theory, and argue that they
are fairly generic in this framework. In particular we study the appearance of
discrete gauge symmetries in (MS)SM brane constructions in string theory, and
show that a few discrete ${Z_N}$ gauge symmetries, including R-parity and {\it
baryon triality}, appear naturally as remnants of continuous U(1) gauge
symmetries with St\"uckelberg $N(B\wedge F)$ couplings. Interestingly, they
correspond to the simplest anomaly-free discrete symmetries of the MSSM as
classified in the early 90's. We provide a number of examples based on type IIA
intersecting brane constructions with a (MS)SM spectrum. We also study the
appearance of discrete generalizations of R-parity in unified SU(5) type IIA
orientifolds and local F-theory SU(5) GUTs.
|
[
{
"created": "Tue, 21 Jun 2011 11:08:18 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Sep 2011 08:36:59 GMT",
"version": "v2"
}
] |
2015-05-28
|
[
[
"Berasaluce-González",
"Mikel",
""
],
[
"Ibáñez",
"Luis E.",
""
],
[
"Soler",
"Pablo",
""
],
[
"Uranga",
"Angel M.",
""
]
] |
In particle physics model building discrete symmetries are often invoked to forbid unwanted or dangerous couplings. A classical example is the R-parity of the MSSM, which guarantees the absence of dimension four baryon- and lepton-number violating operators. Although phenomenologically useful, these discrete symmetries are, in the context of field theory, poorly motivated at a more fundamental level. Moreover, discrete {\em global} symmetries are expected to be violated in consistent couplings to quantum gravity, while their {\em gauged} versions are expected to actually exist. In this paper we study discrete gauge symmetries in brane models in string theory, and argue that they are fairly generic in this framework. In particular we study the appearance of discrete gauge symmetries in (MS)SM brane constructions in string theory, and show that a few discrete ${Z_N}$ gauge symmetries, including R-parity and {\it baryon triality}, appear naturally as remnants of continuous U(1) gauge symmetries with St\"uckelberg $N(B\wedge F)$ couplings. Interestingly, they correspond to the simplest anomaly-free discrete symmetries of the MSSM as classified in the early 90's. We provide a number of examples based on type IIA intersecting brane constructions with a (MS)SM spectrum. We also study the appearance of discrete generalizations of R-parity in unified SU(5) type IIA orientifolds and local F-theory SU(5) GUTs.
| 6.554251
| 6.806084
| 7.185709
| 6.753427
| 7.089234
| 7.114666
| 7.055191
| 7.062946
| 6.795988
| 7.48136
| 6.443286
| 6.554359
| 6.681244
| 6.38144
| 6.478229
| 6.400741
| 6.495124
| 6.591093
| 6.460396
| 6.634785
| 6.3285
|
hep-th/9403084
|
Barry McCoy
|
Barry M. McCoy
|
The connection between statistical mechanics and quantum field theory
|
94 pages in harvmac with 6 figures appended to the file,
ITP-SB-94-07. (Several references have been added to part 2.)
|
in Statistical Mechanics and Field Theory, eds. , V.V. Bazhanov
and C.J. Burden, World Scientific, (Singapore 1995) , 26-128
| null | null |
hep-th cond-mat
| null |
A four part series of lectures on the connection of statistical mechanics and
quantum field theory. The general principles relating statistical mechanics and
the path integral formulation of quantum field theory are presented in the
first lecture. These principles are then illustrated in lecture 2 by a
presentation of the theory of the Ising model for $H=0$, where both the
homogeneous and randomly inhomogeneous models are treated and the scaling
theory and the relation with Fredholm determinants and Painlev{\'e} equations
is presented. In lecture 3 we consider the Ising model with $H\neq 0$, where
the relation with gauge theory is used to discuss the phenomenon of
confinement. We conclude in the last lecture with a discussion of quantum spin
diffusion in one dimensional chains and a presentation of the chiral Potts
model which illustrates the physical effects that can occur when the Euclidean
and Minkowski regions are not connected by an analytic continuation. (To be
published as part of the Proceedings of the Sixth Annual Theoretical Physics
Summer School of the Australian National University which was held in Canberra
during Jan. 1994.)
|
[
{
"created": "Wed, 16 Mar 1994 02:00:00 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Mar 1994 18:28:53 GMT",
"version": "v2"
}
] |
2009-09-25
|
[
[
"McCoy",
"Barry M.",
""
]
] |
A four part series of lectures on the connection of statistical mechanics and quantum field theory. The general principles relating statistical mechanics and the path integral formulation of quantum field theory are presented in the first lecture. These principles are then illustrated in lecture 2 by a presentation of the theory of the Ising model for $H=0$, where both the homogeneous and randomly inhomogeneous models are treated and the scaling theory and the relation with Fredholm determinants and Painlev{\'e} equations is presented. In lecture 3 we consider the Ising model with $H\neq 0$, where the relation with gauge theory is used to discuss the phenomenon of confinement. We conclude in the last lecture with a discussion of quantum spin diffusion in one dimensional chains and a presentation of the chiral Potts model which illustrates the physical effects that can occur when the Euclidean and Minkowski regions are not connected by an analytic continuation. (To be published as part of the Proceedings of the Sixth Annual Theoretical Physics Summer School of the Australian National University which was held in Canberra during Jan. 1994.)
| 8.368639
| 9.047117
| 9.083443
| 8.302049
| 9.313334
| 8.940001
| 9.201125
| 9.290025
| 8.467037
| 9.400349
| 8.516402
| 8.387574
| 8.50562
| 8.139728
| 8.102434
| 8.137538
| 8.191045
| 7.929735
| 8.07341
| 8.443266
| 8.201052
|
hep-th/0404031
|
Sergey Paston
|
V.A. Franke, Yu.V. Novozhilov, S.A. Paston, E.V. Prokhvatilov
|
Quantization of Field Theory on the Light Front
|
LaTeX 2.09, 48 pages. The paper is written for editorial collection
"Progress in Field Theory Research", Nova Science Publishers, New York. New
improved expression for the effective LF Hamiltonian of QED(1+1) was added
| null | null | null |
hep-th
| null |
Canonical formulation of quantum field theory on the Light Front (LF) is
reviewed. The problem of constructing the LF Hamiltonian which gives the theory
equivalent to original Lorentz and gauge invariant one is considered. We
describe possible ways of solving this problem: (a) the limiting transition
from the equal-time Hamiltonian in a fast moving Lorentz frame to LF
Hamiltonian, (b) the direct comparison of LF perturbation theory in coupling
constant and usual Lorentz-covariant Feynman perturbation theory. The results
of the application of method (b) to QED-1+1 and QCD-3+1 are given. Gauge
invariant regularization of LF Hamiltonian via introducing a lattice in
transverse coordinates and imposing periodic boundary conditions in LF
coordinate x^- for gauge fields on the interval |x^-| smaller than L is also
considered.
|
[
{
"created": "Sun, 4 Apr 2004 13:02:20 GMT",
"version": "v1"
},
{
"created": "Sun, 11 Dec 2005 11:03:56 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Franke",
"V. A.",
""
],
[
"Novozhilov",
"Yu. V.",
""
],
[
"Paston",
"S. A.",
""
],
[
"Prokhvatilov",
"E. V.",
""
]
] |
Canonical formulation of quantum field theory on the Light Front (LF) is reviewed. The problem of constructing the LF Hamiltonian which gives the theory equivalent to original Lorentz and gauge invariant one is considered. We describe possible ways of solving this problem: (a) the limiting transition from the equal-time Hamiltonian in a fast moving Lorentz frame to LF Hamiltonian, (b) the direct comparison of LF perturbation theory in coupling constant and usual Lorentz-covariant Feynman perturbation theory. The results of the application of method (b) to QED-1+1 and QCD-3+1 are given. Gauge invariant regularization of LF Hamiltonian via introducing a lattice in transverse coordinates and imposing periodic boundary conditions in LF coordinate x^- for gauge fields on the interval |x^-| smaller than L is also considered.
| 10.190783
| 9.803268
| 9.94579
| 9.819893
| 10.721712
| 10.772492
| 10.05312
| 9.991938
| 9.531885
| 10.967207
| 9.351623
| 9.985177
| 9.786568
| 9.780958
| 9.760236
| 10.242818
| 9.904609
| 9.604468
| 9.545329
| 9.960054
| 9.414598
|
hep-th/9309097
|
Paul Aspinwall
|
P.S. Aspinwall, B.R. Greene and D.R. Morrison
|
Calabi-Yau Moduli Space, Mirror Manifolds and Spacetime Topology Change
in String Theory
|
74 pages (with 20 figures)
|
Nucl.Phys. B416 (1994) 414-480
|
10.1016/0550-3213(94)90321-2
|
IASSNS-HEP-93/38, CNLS-93/1236
|
hep-th alg-geom math.AG
| null |
We analyze the moduli spaces of Calabi-Yau threefolds and their associated
conformally invariant nonlinear sigma-models and show that they are described
by an unexpectedly rich geometrical structure. Specifically, the Kahler sector
of the moduli space of such Calabi-Yau conformal theories admits a
decomposition into adjacent domains some of which correspond to the
(complexified) Kahler cones of topologically distinct manifolds. These domains
are separated by walls corresponding to singular Calabi-Yau spaces in which the
spacetime metric has degenerated in certain regions. We show that the union of
these domains is isomorphic to the complex structure moduli space of a single
topological Calabi-Yau space---the mirror. In this way we resolve a puzzle for
mirror symmetry raised by the apparent asymmetry between the Kahler and complex
structure moduli spaces of a Calabi-Yau manifold. Furthermore, using mirror
symmetry, we show that we can interpolate in a physically smooth manner between
any two theories represented by distinct points in the Kahler moduli space,
even if such points correspond to topologically distinct spaces. Spacetime
topology change in string theory, therefore, is realized by the most basic
operation of deformation by a truly marginal operator. Finally, this work also
yields some important insights on the nature of orbifolds in string theory.
|
[
{
"created": "Fri, 17 Sep 1993 21:18:41 GMT",
"version": "v1"
},
{
"created": "Sun, 19 Sep 1993 15:16:26 GMT",
"version": "v2"
},
{
"created": "Tue, 5 Oct 1993 14:51:36 GMT",
"version": "v3"
}
] |
2009-10-22
|
[
[
"Aspinwall",
"P. S.",
""
],
[
"Greene",
"B. R.",
""
],
[
"Morrison",
"D. R.",
""
]
] |
We analyze the moduli spaces of Calabi-Yau threefolds and their associated conformally invariant nonlinear sigma-models and show that they are described by an unexpectedly rich geometrical structure. Specifically, the Kahler sector of the moduli space of such Calabi-Yau conformal theories admits a decomposition into adjacent domains some of which correspond to the (complexified) Kahler cones of topologically distinct manifolds. These domains are separated by walls corresponding to singular Calabi-Yau spaces in which the spacetime metric has degenerated in certain regions. We show that the union of these domains is isomorphic to the complex structure moduli space of a single topological Calabi-Yau space---the mirror. In this way we resolve a puzzle for mirror symmetry raised by the apparent asymmetry between the Kahler and complex structure moduli spaces of a Calabi-Yau manifold. Furthermore, using mirror symmetry, we show that we can interpolate in a physically smooth manner between any two theories represented by distinct points in the Kahler moduli space, even if such points correspond to topologically distinct spaces. Spacetime topology change in string theory, therefore, is realized by the most basic operation of deformation by a truly marginal operator. Finally, this work also yields some important insights on the nature of orbifolds in string theory.
| 8.327955
| 8.034675
| 9.322392
| 7.933541
| 8.390601
| 8.397892
| 8.525746
| 8.000824
| 8.01062
| 9.801223
| 8.050301
| 7.996894
| 8.413923
| 7.948201
| 8.091687
| 7.789152
| 8.026468
| 8.006951
| 8.061113
| 8.112201
| 7.945914
|
1901.02888
|
Carlos Nunez
|
Carlos Nunez, Dibakar Roychowdhury, Stefano Speziali and Salomon
Zacarias
|
Holographic Aspects of Four Dimensional ${\cal N }=2$ SCFTs and their
Marginal Deformations
|
32 pages plus many appendixes and various figures
| null |
10.1016/j.nuclphysb.2019.114617
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the holographic description of ${\cal N}=2$ Super Conformal Field
Theories in four dimensions first given by Gaiotto and Maldacena. We present
new expressions that holographically calculate characteristic numbers of the
CFT and associated Hanany-Witten set-ups, or more dynamical observables, like
the central charge. A number of examples of varying complexity are studied and
some proofs for these new expressions are presented. We repeat this treatment
for the case of the marginally deformed Gaiotto-Maldacena theories, presenting
an infinite family of new solutions and compute some of its observables. These
new backgrounds rely on the solution of a Laplace equation and a boundary
condition, encoding the kinematics of the original conformal field theory.
|
[
{
"created": "Wed, 9 Jan 2019 19:00:01 GMT",
"version": "v1"
}
] |
2019-06-26
|
[
[
"Nunez",
"Carlos",
""
],
[
"Roychowdhury",
"Dibakar",
""
],
[
"Speziali",
"Stefano",
""
],
[
"Zacarias",
"Salomon",
""
]
] |
We study the holographic description of ${\cal N}=2$ Super Conformal Field Theories in four dimensions first given by Gaiotto and Maldacena. We present new expressions that holographically calculate characteristic numbers of the CFT and associated Hanany-Witten set-ups, or more dynamical observables, like the central charge. A number of examples of varying complexity are studied and some proofs for these new expressions are presented. We repeat this treatment for the case of the marginally deformed Gaiotto-Maldacena theories, presenting an infinite family of new solutions and compute some of its observables. These new backgrounds rely on the solution of a Laplace equation and a boundary condition, encoding the kinematics of the original conformal field theory.
| 11.40591
| 11.292966
| 12.445692
| 10.659302
| 11.640145
| 12.069149
| 11.718108
| 10.586184
| 11.520223
| 12.418061
| 11.312298
| 11.301092
| 11.643209
| 11.124394
| 11.271635
| 11.436732
| 10.999369
| 11.024279
| 11.122633
| 12.056461
| 11.147099
|
2006.12532
|
Ryo Yokokura
|
Yoshimasa Hidaka, Muneto Nitta, Ryo Yokokura
|
Higher-form symmetries and 3-group in axion electrodynamics
|
9 pages, 4 figures; v2: minor revisions, references added; v3: minor
revisions, published version with more references
|
Phys. Lett. B 808 (2020) 135672
|
10.1016/j.physletb.2020.135672
|
KEK-TH-2232, J-PARC-TH-0222, RIKEN-iTHEMS-Report-20
|
hep-th cond-mat.str-el hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study higher-form symmetries in a low-energy effective theory of a
massless axion coupled with a photon in $(3+1)$ dimensions. It is shown that
the higher-form symmetries of this system are accompanied by a semistrict
3-group (2-crossed module) structure, which can be found by the correlation
functions of symmetry generators of the higher-form symmetries. We argue that
the Witten effect and anomalous Hall effect in the axion electrodynamics can be
described in terms of 3-group transformations.
|
[
{
"created": "Mon, 22 Jun 2020 18:04:16 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Jul 2020 09:04:19 GMT",
"version": "v2"
},
{
"created": "Mon, 17 Aug 2020 02:55:57 GMT",
"version": "v3"
}
] |
2020-08-18
|
[
[
"Hidaka",
"Yoshimasa",
""
],
[
"Nitta",
"Muneto",
""
],
[
"Yokokura",
"Ryo",
""
]
] |
We study higher-form symmetries in a low-energy effective theory of a massless axion coupled with a photon in $(3+1)$ dimensions. It is shown that the higher-form symmetries of this system are accompanied by a semistrict 3-group (2-crossed module) structure, which can be found by the correlation functions of symmetry generators of the higher-form symmetries. We argue that the Witten effect and anomalous Hall effect in the axion electrodynamics can be described in terms of 3-group transformations.
| 7.758386
| 6.534879
| 8.123659
| 6.632369
| 7.646167
| 7.445951
| 6.930221
| 6.508002
| 6.734115
| 8.364408
| 6.530476
| 6.864097
| 7.571161
| 7.076999
| 6.910407
| 6.840106
| 6.965097
| 7.08057
| 6.939114
| 7.681277
| 6.850285
|
2306.16280
|
Ronald Reid-Edwards
|
N. M. McStay and R. A. Reid-Edwards
|
Symmetries and Covering Maps for the Minimal Tension String on
$\mathbf{AdS_3\times S^3\times T^4}$
|
63 pages, 8 figures. Published version
|
JHEP 04 (2024) 048
|
10.1007/JHEP04(2024)048
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper considers a recently-proposed string theory on $AdS_3\times
S^3\times T^4$ with one unit of NS-NS flux ($k=1$). We discuss interpretations
of the target space, including connections to twistor geometry and a more
conventional spacetime interpretation via the Wakimoto representation. We
propose an alternative perspective on the role of the Wakimoto formalism in the
$k=1$ string, for which no large radius limit is required by the inclusion of
extra operator insertions in the path integral. This provides an exact Wakimoto
description of the worldsheet CFT. We also discuss an additional local
worldsheet symmetry, $Q(z)$, that emerges when $k=1$ and show that this
symmetry plays an important role in the localisation of the path integral to a
sum over covering maps. We demonstrate the emergence of a rigid worldsheet
translation symmetry in the radial direction of the $AdS_3$, for which again
the presence of $Q(z)$ is crucial. We conjecture that this radial symmetry
plays a key role in understanding, in the case of the $k=1$ string, the
encoding of the bulk physics on the two-dimensional boundary.
|
[
{
"created": "Wed, 28 Jun 2023 15:00:47 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Jan 2024 18:28:56 GMT",
"version": "v2"
},
{
"created": "Wed, 24 Apr 2024 23:05:50 GMT",
"version": "v3"
}
] |
2024-04-26
|
[
[
"McStay",
"N. M.",
""
],
[
"Reid-Edwards",
"R. A.",
""
]
] |
This paper considers a recently-proposed string theory on $AdS_3\times S^3\times T^4$ with one unit of NS-NS flux ($k=1$). We discuss interpretations of the target space, including connections to twistor geometry and a more conventional spacetime interpretation via the Wakimoto representation. We propose an alternative perspective on the role of the Wakimoto formalism in the $k=1$ string, for which no large radius limit is required by the inclusion of extra operator insertions in the path integral. This provides an exact Wakimoto description of the worldsheet CFT. We also discuss an additional local worldsheet symmetry, $Q(z)$, that emerges when $k=1$ and show that this symmetry plays an important role in the localisation of the path integral to a sum over covering maps. We demonstrate the emergence of a rigid worldsheet translation symmetry in the radial direction of the $AdS_3$, for which again the presence of $Q(z)$ is crucial. We conjecture that this radial symmetry plays a key role in understanding, in the case of the $k=1$ string, the encoding of the bulk physics on the two-dimensional boundary.
| 8.281865
| 8.125446
| 9.046018
| 7.967447
| 8.165965
| 8.522658
| 8.31674
| 8.219519
| 8.09241
| 10.745073
| 8.211393
| 8.189131
| 8.854122
| 8.299893
| 8.428332
| 8.536247
| 8.399258
| 8.43194
| 8.252131
| 9.041686
| 8.407222
|
hep-th/9206097
|
De Jonghe Frank
|
F. De Jonghe, R. Siebelink, W. Troost, S. Vandoren, P. van
Nieuwenhuizen and A. Van Proeyen
|
The regularized BRST Jacobian of pure Yang-Mills theory
|
12 pages, latex, CERN-TH.6541/92, KUL-TF-92/24
|
Phys.Lett. B289 (1992) 354-360
|
10.1016/0370-2693(92)91231-W
| null |
hep-th
| null |
The Jacobian for infinitesimal BRST transformations of path integrals for
pure Yang-Mills theory, viewed as a matrix $\unity +\Delta J$ in the space of
Yang-Mills fields and (anti)ghosts, contains off-diagonal terms. Naively, the
trace of $\Delta J$ vanishes, being proportional to the trace of the structure
constants. However, the consistent regulator $\cR$, constructed from a general
method, also contains off-diagonal terms. An explicit computation demonstrates
that the regularized Jacobian $Tr\ \Delta J\exp -\cR /M^2$ for $M^2\rightarrow
\infty $ is the variation of a local counterterm, which we give. This is a
direct proof at the level of path integrals that there is no BRST anomaly.
|
[
{
"created": "Thu, 25 Jun 1992 07:50:44 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"De Jonghe",
"F.",
""
],
[
"Siebelink",
"R.",
""
],
[
"Troost",
"W.",
""
],
[
"Vandoren",
"S.",
""
],
[
"van Nieuwenhuizen",
"P.",
""
],
[
"Van Proeyen",
"A.",
""
]
] |
The Jacobian for infinitesimal BRST transformations of path integrals for pure Yang-Mills theory, viewed as a matrix $\unity +\Delta J$ in the space of Yang-Mills fields and (anti)ghosts, contains off-diagonal terms. Naively, the trace of $\Delta J$ vanishes, being proportional to the trace of the structure constants. However, the consistent regulator $\cR$, constructed from a general method, also contains off-diagonal terms. An explicit computation demonstrates that the regularized Jacobian $Tr\ \Delta J\exp -\cR /M^2$ for $M^2\rightarrow \infty $ is the variation of a local counterterm, which we give. This is a direct proof at the level of path integrals that there is no BRST anomaly.
| 11.446854
| 10.973104
| 10.6863
| 10.483562
| 11.841947
| 11.502048
| 10.488629
| 10.542999
| 10.676251
| 11.601789
| 10.258241
| 10.229661
| 10.492741
| 10.259829
| 10.713313
| 10.189641
| 9.786059
| 10.03078
| 9.969807
| 10.556131
| 9.949739
|
hep-th/0309181
|
Vladimir Ritus
|
V. I. Ritus (P.N.Lebedev Physical Institute, Moscow, Russia)
|
The symmetry, inferable from Bogoliubov transformation, between the
processes induced by the mirror in two-dimentional and the charge in
four-dimentional space-time
|
20 pages, LaTex, 2 figures in jpg, to be published in JETP
|
J.Exp.Theor.Phys.97:10-23,2003; Zh.Eksp.Teor.Fiz.97:14-27,2003
|
10.1134/1.1600792
| null |
hep-th
| null |
The symmetry between the creation of pairs of massless bosons or fermions by
accelerated mirror in 1+1 space and the emission of single photons or scalar
quanta by electric or scalar charge in 3+1 space is deepened in this paper. The
relation of Bogoliubov coefficients with Fourier's components of current or
charge density leads to the coicidence of the spin of any disturbances bilinear
in scalar or spinor field with the spin of quanta emitted by the electric or
scalar charge. The mass and invariant momentum transfer of these disturbances
are essential for the relation of Bogoliubov coefficients with Green's
functions of wave equations both for 1+1 and 3+1 spaces. Namely the relation
(20) leads to the coincidence of the self-action changes and vacuum-vacuum
amplitudes for the accelerated mirror in 1+1 space and charge in 3+1 space.
Thus, both invariants of the Lorentz group, spin and mass, perform intrinsic
role in established symmetry. The symmetry embraces not only the processes of
real quanta radiation. It extends also to the processes of the mirror and the
charge interactions with the fields carring spacelike momenta. These fields
accompany their sources and define the Bogoliubov matrix coefficients
\alpha^{B,F}. It is shown that the traces of \alpha^{B,F} describe the vector
and scalar interactions of accelerated mirror with uniformly moving detector.
This interpretation rests essentially on the relation (100) between the
propagators of the waves with spacelike momenta in 2- and 4-dimentional spaces.
The traces of \alpha^{B,F} coincide actually with the products of the mass
shift \Delta m_{1,0} of accelerated electric or scalar charge and the proper
time of the shift formation. The symmetry fixes the value of the bare fine
structure constant \alpha_0=1/4\pi.
|
[
{
"created": "Thu, 18 Sep 2003 11:19:38 GMT",
"version": "v1"
}
] |
2009-12-30
|
[
[
"Ritus",
"V. I.",
"",
"P.N.Lebedev Physical Institute, Moscow, Russia"
]
] |
The symmetry between the creation of pairs of massless bosons or fermions by accelerated mirror in 1+1 space and the emission of single photons or scalar quanta by electric or scalar charge in 3+1 space is deepened in this paper. The relation of Bogoliubov coefficients with Fourier's components of current or charge density leads to the coicidence of the spin of any disturbances bilinear in scalar or spinor field with the spin of quanta emitted by the electric or scalar charge. The mass and invariant momentum transfer of these disturbances are essential for the relation of Bogoliubov coefficients with Green's functions of wave equations both for 1+1 and 3+1 spaces. Namely the relation (20) leads to the coincidence of the self-action changes and vacuum-vacuum amplitudes for the accelerated mirror in 1+1 space and charge in 3+1 space. Thus, both invariants of the Lorentz group, spin and mass, perform intrinsic role in established symmetry. The symmetry embraces not only the processes of real quanta radiation. It extends also to the processes of the mirror and the charge interactions with the fields carring spacelike momenta. These fields accompany their sources and define the Bogoliubov matrix coefficients \alpha^{B,F}. It is shown that the traces of \alpha^{B,F} describe the vector and scalar interactions of accelerated mirror with uniformly moving detector. This interpretation rests essentially on the relation (100) between the propagators of the waves with spacelike momenta in 2- and 4-dimentional spaces. The traces of \alpha^{B,F} coincide actually with the products of the mass shift \Delta m_{1,0} of accelerated electric or scalar charge and the proper time of the shift formation. The symmetry fixes the value of the bare fine structure constant \alpha_0=1/4\pi.
| 11.910089
| 12.572871
| 12.26414
| 11.592957
| 12.277884
| 12.701129
| 12.874913
| 12.094291
| 12.215706
| 13.774515
| 11.576059
| 11.53169
| 11.679027
| 11.729874
| 11.653521
| 11.524445
| 11.719007
| 11.619738
| 11.706718
| 11.689527
| 11.518284
|
1411.2605
|
Gianguido Dall'Agata
|
Gianguido Dall'Agata and Fabio Zwirner
|
On sgoldstino-less supergravity models of inflation
|
19 pages. v2: references added and few minor changes to the text. v3:
published version
| null |
10.1007/JHEP12(2014)172
|
CERN-PH-TH-2014-199, DFPD-2014/TH/16
|
hep-th astro-ph.CO hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We go a step further in the search for a consistent and realistic
supergravity model of large-field inflation by building a class of models with
the following features: during slow-roll, all the scalar fields other than the
inflaton are frozen by large inflaton-dependent masses or removed from the
spectrum; at the end of inflation, supersymmetry is spontaneously broken with
naturally vanishing classical vacuum energy. We achieve this by combining some
geometrical properties of the Kaehler potential with the consistent use of a
single nilpotent chiral superfield, in one-to-one correspondence with the
supersymmetry-breaking direction in field space at the vacuum.
|
[
{
"created": "Mon, 10 Nov 2014 21:02:15 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Nov 2014 18:44:35 GMT",
"version": "v2"
},
{
"created": "Mon, 29 Dec 2014 16:24:32 GMT",
"version": "v3"
}
] |
2015-06-23
|
[
[
"Dall'Agata",
"Gianguido",
""
],
[
"Zwirner",
"Fabio",
""
]
] |
We go a step further in the search for a consistent and realistic supergravity model of large-field inflation by building a class of models with the following features: during slow-roll, all the scalar fields other than the inflaton are frozen by large inflaton-dependent masses or removed from the spectrum; at the end of inflation, supersymmetry is spontaneously broken with naturally vanishing classical vacuum energy. We achieve this by combining some geometrical properties of the Kaehler potential with the consistent use of a single nilpotent chiral superfield, in one-to-one correspondence with the supersymmetry-breaking direction in field space at the vacuum.
| 11.360995
| 11.166347
| 11.634222
| 9.534357
| 9.706022
| 10.963614
| 9.950361
| 9.693361
| 9.609197
| 13.34744
| 9.365097
| 9.955164
| 10.842092
| 9.908166
| 9.855735
| 10.16113
| 10.133632
| 10.195519
| 10.164023
| 10.689467
| 10.017631
|
2006.06014
|
Luis Max Guillen Quiroz
|
Max Guillen
|
Pure spinors and $D=11$ supergravity
|
158 pages, doctoral thesis
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this Thesis we study first- and second-quantized approaches describing
$D=11$ supergravity using pure spinor variables. We introduce the so-called
$D=11$ pure spinor superparticle through BRST cohomology arguments starting
from the semi-light-cone gauge $D=11$ Brink-Schwarz-like superparticle. After
performing a light-cone gauge analysis of the pure spinor BRST cohomology at
ghost number three, we find the linearized equations of motion of $D=11$
supergravity in $D=9$ superspace. In addition, we construct a BRST-closed,
ghost number one vertex operator made out of worldline fields and $D=11$
supergravity superfields, and we run into an inconsistency when constructing a
ghost number zero vertex operator satisfying a standard descent equation. We
then introduce the non-minimal version of the $D=11$ pure spinor superparticle,
in which a composite $b$-ghost can be constructed satisfying $\{Q,b\} = P^{2}$.
However, its complicated expression makes it difficult to check its nilpotency.
We show that introducing an $SO(1,10)$ fermionic vector $\bar{\Sigma}^{a}$
simplifies the form of the $b$-ghost considerably, which allows us to verify
that $\{Q,b\} = P^{2}$ and $\{b,b\}=$ BRST-exact. Using this $b$-ghost we
propose an alternative ghost number zero vertex operator satisfying a standard
descent equation. However, its expression will depend on non-minimal pure
spinor variables in a very complicated fashion. After discussing this
first-quantized approach for $D=11$ supergravity, we move on to discussing the
pure spinor master actions introduced by Cederwall for studying maximally
supersymmetric gauge theories. We show that these actions indeed describe
$D=10$ super-Yang-Mills, $D=10$ super-Born-Infeld and $D=11$ supergravity by
extracting the equations of motion in ordinary superspace for each one of these
theories.
|
[
{
"created": "Wed, 10 Jun 2020 18:05:01 GMT",
"version": "v1"
}
] |
2020-06-12
|
[
[
"Guillen",
"Max",
""
]
] |
In this Thesis we study first- and second-quantized approaches describing $D=11$ supergravity using pure spinor variables. We introduce the so-called $D=11$ pure spinor superparticle through BRST cohomology arguments starting from the semi-light-cone gauge $D=11$ Brink-Schwarz-like superparticle. After performing a light-cone gauge analysis of the pure spinor BRST cohomology at ghost number three, we find the linearized equations of motion of $D=11$ supergravity in $D=9$ superspace. In addition, we construct a BRST-closed, ghost number one vertex operator made out of worldline fields and $D=11$ supergravity superfields, and we run into an inconsistency when constructing a ghost number zero vertex operator satisfying a standard descent equation. We then introduce the non-minimal version of the $D=11$ pure spinor superparticle, in which a composite $b$-ghost can be constructed satisfying $\{Q,b\} = P^{2}$. However, its complicated expression makes it difficult to check its nilpotency. We show that introducing an $SO(1,10)$ fermionic vector $\bar{\Sigma}^{a}$ simplifies the form of the $b$-ghost considerably, which allows us to verify that $\{Q,b\} = P^{2}$ and $\{b,b\}=$ BRST-exact. Using this $b$-ghost we propose an alternative ghost number zero vertex operator satisfying a standard descent equation. However, its expression will depend on non-minimal pure spinor variables in a very complicated fashion. After discussing this first-quantized approach for $D=11$ supergravity, we move on to discussing the pure spinor master actions introduced by Cederwall for studying maximally supersymmetric gauge theories. We show that these actions indeed describe $D=10$ super-Yang-Mills, $D=10$ super-Born-Infeld and $D=11$ supergravity by extracting the equations of motion in ordinary superspace for each one of these theories.
| 6.02239
| 5.788776
| 7.057759
| 6.017384
| 5.762815
| 5.894666
| 6.017995
| 5.895178
| 5.938587
| 6.635841
| 5.989973
| 6.023582
| 6.253588
| 6.276984
| 5.96313
| 5.946387
| 6.09192
| 6.087433
| 6.04215
| 6.262106
| 5.964576
|
1603.07582
|
Alesandro Santos A. F. Santos
|
J. A. Agudelo, J. R. Nascimento, A. Yu. Petrov, P. J. Porf\'irio, A.
F. Santos
|
G\"odel and G\"odel-type universes in Brans-Dicke theory
|
15 pages, published version
|
Phys. Lett. B 762, 96 (2016)
|
10.1016/j.physletb.2016.09.011
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, conditions for existence of G\"{o}del and G\"{o}del-type
solutions in Brans-Dicke (BD) scalar-tensor theory and their main features are
studied. The consistency of equations of motion, causality violation and
existence of CTCs (closed time-like curves) are investigated. The role which
cosmological constant and Mach principle play to achieve the consistency of
this model is studied.
|
[
{
"created": "Thu, 24 Mar 2016 14:11:17 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Oct 2016 21:57:14 GMT",
"version": "v2"
}
] |
2016-10-12
|
[
[
"Agudelo",
"J. A.",
""
],
[
"Nascimento",
"J. R.",
""
],
[
"Petrov",
"A. Yu.",
""
],
[
"Porfírio",
"P. J.",
""
],
[
"Santos",
"A. F.",
""
]
] |
In this paper, conditions for existence of G\"{o}del and G\"{o}del-type solutions in Brans-Dicke (BD) scalar-tensor theory and their main features are studied. The consistency of equations of motion, causality violation and existence of CTCs (closed time-like curves) are investigated. The role which cosmological constant and Mach principle play to achieve the consistency of this model is studied.
| 9.602048
| 7.956949
| 6.968195
| 7.563595
| 7.714878
| 7.297157
| 7.910285
| 7.118839
| 8.087935
| 7.913858
| 7.773119
| 7.532382
| 7.701503
| 7.509058
| 7.436763
| 7.572986
| 7.738799
| 7.585058
| 7.660458
| 7.641277
| 8.052799
|
hep-th/9511106
|
Andrea Lorek
|
M. Fichtmueller, A. Lorek and J. Wess
|
q-deformed Phase Space and its Lattice Structure
|
11 pages, latex, no figures
|
Z.Phys.C71:533-538,1996
|
10.1007/s002880050201
| null |
hep-th
| null |
A q-deformed two-dimensional phase space is studied as a model for a
noncommutative phase space. A lattice structure arises that can be interpreted
as a spontaneous breaking of a continuous symmetry. The eigenfunctions of a
Hamiltonian that lives on such a lattice are derived as wavefunctions in
ordinary $x$-space.
|
[
{
"created": "Wed, 15 Nov 1995 16:01:28 GMT",
"version": "v1"
}
] |
2010-11-19
|
[
[
"Fichtmueller",
"M.",
""
],
[
"Lorek",
"A.",
""
],
[
"Wess",
"J.",
""
]
] |
A q-deformed two-dimensional phase space is studied as a model for a noncommutative phase space. A lattice structure arises that can be interpreted as a spontaneous breaking of a continuous symmetry. The eigenfunctions of a Hamiltonian that lives on such a lattice are derived as wavefunctions in ordinary $x$-space.
| 10.697129
| 8.895224
| 8.947141
| 8.605749
| 8.247557
| 8.308605
| 9.551085
| 8.936171
| 8.354495
| 10.710146
| 8.629112
| 8.689958
| 9.271469
| 8.743282
| 8.418325
| 8.484333
| 8.977775
| 8.504423
| 8.817253
| 9.345208
| 8.772443
|
1703.05798
|
Ryo Suzuki
|
Ryo Suzuki
|
Refined Counting of Necklaces in One-loop $\mathcal{N}=4$ SYM
|
34 pages, v2: typo corrected, v3: added a subsection about finite Nc,
to appear in JHEP
| null |
10.1007/JHEP06(2017)055
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the grand partition function of $\mathcal{N}=4$ SYM at one-loop in
the $SU(2)$ sector with general chemical potentials, extending the results of
P\'olya's theorem. We make use of finite group theory, applicable to all orders
of $1/N_c$ expansion. We show that only the planar terms contribute to the
grand partition function, which is therefore equal to the grand partition
function of an ensemble of XXX$_\frac12$ spin chains. We discuss how Hagedorn
temperature changes on the complex plane of chemical potentials.
|
[
{
"created": "Thu, 16 Mar 2017 19:11:22 GMT",
"version": "v1"
},
{
"created": "Sun, 26 Mar 2017 13:46:32 GMT",
"version": "v2"
},
{
"created": "Tue, 6 Jun 2017 14:39:57 GMT",
"version": "v3"
}
] |
2017-06-28
|
[
[
"Suzuki",
"Ryo",
""
]
] |
We compute the grand partition function of $\mathcal{N}=4$ SYM at one-loop in the $SU(2)$ sector with general chemical potentials, extending the results of P\'olya's theorem. We make use of finite group theory, applicable to all orders of $1/N_c$ expansion. We show that only the planar terms contribute to the grand partition function, which is therefore equal to the grand partition function of an ensemble of XXX$_\frac12$ spin chains. We discuss how Hagedorn temperature changes on the complex plane of chemical potentials.
| 9.894925
| 11.306991
| 10.780731
| 8.625459
| 8.94279
| 10.071643
| 9.337251
| 9.625547
| 9.337669
| 10.786469
| 9.505052
| 9.535464
| 9.587726
| 9.129594
| 9.110954
| 9.424077
| 9.26906
| 9.240248
| 9.121399
| 9.150209
| 9.018136
|
hep-th/0407111
|
Gustavo Dourado Barbosa
|
G. D. Barbosa and N. Pinto-Neto
|
Noncommutative Geometry and Cosmology
|
22 pages, 5 figures, substantial changes in the presentation, results
are the same, to appear in Physical Review D
|
Phys.Rev. D70 (2004) 103512
|
10.1103/PhysRevD.70.103512
| null |
hep-th gr-qc
| null |
We study some consequences of noncommutativity to homogeneous cosmologies by
introducing a deformation of the commutation relation between the
minisuperspace variables. The investigation is carried out for the
Kantowski-Sachs model by means of a comparative study of the universe evolution
in four different scenarios: the classical commutative, classical
noncommutative, quantum commutative, and quantum noncommutative. The comparison
is rendered transparent by the use of the Bohmian formalism of quantum
trajectories. As a result of our analysis, we found that noncommutativity can
modify significantly the universe evolution, but cannot alter its singular
behavior in the classical context. Quantum effects, on the other hand, can
originate non-singular periodic universes in both commutative and
noncommutative cases. The quantum noncommutative model is shown to present
interesting properties, as the capability to give rise to non-trivial dynamics
in situations where its commutative counterpart is necessarily static.
|
[
{
"created": "Tue, 13 Jul 2004 20:47:05 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Oct 2004 22:56:48 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Barbosa",
"G. D.",
""
],
[
"Pinto-Neto",
"N.",
""
]
] |
We study some consequences of noncommutativity to homogeneous cosmologies by introducing a deformation of the commutation relation between the minisuperspace variables. The investigation is carried out for the Kantowski-Sachs model by means of a comparative study of the universe evolution in four different scenarios: the classical commutative, classical noncommutative, quantum commutative, and quantum noncommutative. The comparison is rendered transparent by the use of the Bohmian formalism of quantum trajectories. As a result of our analysis, we found that noncommutativity can modify significantly the universe evolution, but cannot alter its singular behavior in the classical context. Quantum effects, on the other hand, can originate non-singular periodic universes in both commutative and noncommutative cases. The quantum noncommutative model is shown to present interesting properties, as the capability to give rise to non-trivial dynamics in situations where its commutative counterpart is necessarily static.
| 6.705523
| 6.283229
| 6.066382
| 5.94225
| 6.047906
| 5.863919
| 5.953337
| 6.134655
| 6.321003
| 6.170939
| 6.295168
| 6.315135
| 6.33565
| 6.055694
| 6.083124
| 6.123465
| 6.118686
| 6.089028
| 6.235515
| 6.247671
| 6.103494
|
2104.12720
|
Chandrasekhar Bhamidipati
|
Aritra Ghosh, Sudipta Mukherji and Chandrasekhar Bhamidipati
|
Logarithmic corrections to the entropy function of black holes in the
open ensemble
|
v2: 24 pages,4 figures, major revision, erroneous discussion on
critical points in earlier version corrected and figures replotted, new
appendix added, key conclusions and results unchanged, matches published
version
| null |
10.1016/j.nuclphysb.2022.115902
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
An `open' or $(\mu,P,T)$-ensemble describes equilibrium systems whose control
parameters are chemical potential $\mu$, pressure $P$ and temperature $T$. Such
an unconstrained ensemble is seldom used for applications to standard
thermodynamic systems due to the fact that the corresponding free energy
identically vanishes as a result of the Euler relation. However, an open
ensemble is perfectly regular for the case of black holes, as the entropy is a
quasi-homogeneous function of extensive thermodynamic variables with scaling
dictated by the Smarr formula. Following a brief discussion on thermodynamics
in the open ensemble, we compute the general form of logarithmic corrections to
the entropy of a typical system, due to fluctuations in energy, thermodynamic
volume and a generic charge $N$. This is then used to obtain the exact analytic
form of the logarithmically corrected black hole entropy for charged and
rotating black holes in anti-de Sitter spacetimes.
|
[
{
"created": "Mon, 26 Apr 2021 17:05:58 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Jul 2022 09:25:49 GMT",
"version": "v2"
}
] |
2022-07-15
|
[
[
"Ghosh",
"Aritra",
""
],
[
"Mukherji",
"Sudipta",
""
],
[
"Bhamidipati",
"Chandrasekhar",
""
]
] |
An `open' or $(\mu,P,T)$-ensemble describes equilibrium systems whose control parameters are chemical potential $\mu$, pressure $P$ and temperature $T$. Such an unconstrained ensemble is seldom used for applications to standard thermodynamic systems due to the fact that the corresponding free energy identically vanishes as a result of the Euler relation. However, an open ensemble is perfectly regular for the case of black holes, as the entropy is a quasi-homogeneous function of extensive thermodynamic variables with scaling dictated by the Smarr formula. Following a brief discussion on thermodynamics in the open ensemble, we compute the general form of logarithmic corrections to the entropy of a typical system, due to fluctuations in energy, thermodynamic volume and a generic charge $N$. This is then used to obtain the exact analytic form of the logarithmically corrected black hole entropy for charged and rotating black holes in anti-de Sitter spacetimes.
| 11.038652
| 11.528645
| 9.805867
| 8.770515
| 10.044514
| 10.751406
| 11.255817
| 9.514813
| 9.628568
| 10.590663
| 9.761254
| 9.048505
| 9.05582
| 8.697531
| 9.451499
| 9.113242
| 9.13959
| 9.00943
| 9.14309
| 9.021308
| 9.297758
|
hep-th/0202144
|
Luigi Pilo
|
Luigi Pilo, Antonio Riotto
|
On Anomalies in Orbifold Theories
|
Latex file with JHEP3 style + axodraw
|
Phys.Lett. B546 (2002) 135-142
|
10.1016/S0370-2693(02)02631-X
|
Saclay t02/020
|
hep-th hep-ph
| null |
We study the issue of gauge invariance in five-dimensional theories
compactified on an orbifold $S^1/(\mathbb{Z}_2\times \mathbb{Z}^\prime_2)$ in
the presence of an external U(1) gauge field. From the four-dimensional point
We study the issue of gauge invariance in five-dimensional theories
compactified on an orbifold $S^1/(\mathbb{Z}_2\times \mathbb{Z}^\prime_2)$ in
the presence of an external U(1) gauge field. From the four-dimensional point
of view the theory contains a tower of Kaluza-Klein Dirac fermions with chiral
couplings and it looks anomalous at the quantum level. We show that this
``anomaly'' is cancelled by a topological Chern-Simons term which is generated
in the effective action when the gauge theory is regularized introducing an
Pauli-Villars fermion with an odd mass term. In the presence of a classical
background gauge field, the fermionic current acquires a vacuum expectation
value, thus generating the suitable Chern-Simons term and a gauge invariant
theory.
|
[
{
"created": "Thu, 21 Feb 2002 14:32:01 GMT",
"version": "v1"
},
{
"created": "Wed, 22 May 2002 14:04:29 GMT",
"version": "v2"
},
{
"created": "Wed, 11 Sep 2002 14:20:30 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Pilo",
"Luigi",
""
],
[
"Riotto",
"Antonio",
""
]
] |
We study the issue of gauge invariance in five-dimensional theories compactified on an orbifold $S^1/(\mathbb{Z}_2\times \mathbb{Z}^\prime_2)$ in the presence of an external U(1) gauge field. From the four-dimensional point We study the issue of gauge invariance in five-dimensional theories compactified on an orbifold $S^1/(\mathbb{Z}_2\times \mathbb{Z}^\prime_2)$ in the presence of an external U(1) gauge field. From the four-dimensional point of view the theory contains a tower of Kaluza-Klein Dirac fermions with chiral couplings and it looks anomalous at the quantum level. We show that this ``anomaly'' is cancelled by a topological Chern-Simons term which is generated in the effective action when the gauge theory is regularized introducing an Pauli-Villars fermion with an odd mass term. In the presence of a classical background gauge field, the fermionic current acquires a vacuum expectation value, thus generating the suitable Chern-Simons term and a gauge invariant theory.
| 3.859204
| 3.627157
| 3.805539
| 3.636289
| 3.732489
| 3.791405
| 3.723954
| 3.69047
| 3.680243
| 3.846356
| 3.822471
| 3.913119
| 3.81826
| 3.756424
| 3.796143
| 3.774103
| 3.779233
| 3.829351
| 3.761714
| 3.763153
| 3.82876
|
1603.01148
|
Viacheslav Emelyanov
|
Slava Emelyanov
|
Effective photon mass from black-hole formation
|
version to be published in Nuclear Physics B
| null |
10.1016/j.nuclphysb.2017.03.016
|
KA--TP--08--2016
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the value of effective photon mass $m_\gamma$ at one-loop level in
QED in the background of small ($10^{10}\,\text{g} \lesssim M \ll
10^{16}\,\text{g}$) spherically symmetric black hole in asymptotically flat
spacetime. This effect is associated with the modification of electron/positron
propagator in presence of event horizon. Physical manifestations of black-hole
environment are compared with those of hot neutral plasma. We estimate the
distance to the nearest black hole from the upper bound on $m_\gamma$ obtained
in the Coulomb-law test. We also find that corrections to electron mass $m_e$
and fine structure constant $\alpha$ at one-loop level in QED are negligible in
the weak gravity regime.
|
[
{
"created": "Thu, 3 Mar 2016 16:04:49 GMT",
"version": "v1"
},
{
"created": "Thu, 12 May 2016 19:25:36 GMT",
"version": "v2"
},
{
"created": "Thu, 25 Aug 2016 15:04:37 GMT",
"version": "v3"
},
{
"created": "Tue, 21 Mar 2017 10:57:58 GMT",
"version": "v4"
}
] |
2017-04-26
|
[
[
"Emelyanov",
"Slava",
""
]
] |
We compute the value of effective photon mass $m_\gamma$ at one-loop level in QED in the background of small ($10^{10}\,\text{g} \lesssim M \ll 10^{16}\,\text{g}$) spherically symmetric black hole in asymptotically flat spacetime. This effect is associated with the modification of electron/positron propagator in presence of event horizon. Physical manifestations of black-hole environment are compared with those of hot neutral plasma. We estimate the distance to the nearest black hole from the upper bound on $m_\gamma$ obtained in the Coulomb-law test. We also find that corrections to electron mass $m_e$ and fine structure constant $\alpha$ at one-loop level in QED are negligible in the weak gravity regime.
| 7.788117
| 9.072729
| 8.328851
| 7.825567
| 9.011922
| 9.088005
| 8.659883
| 8.02961
| 7.992083
| 8.622958
| 7.883785
| 7.515341
| 7.83305
| 7.516705
| 8.013183
| 7.503227
| 7.555655
| 7.828196
| 7.54505
| 7.571993
| 7.466222
|
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