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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1512.04698
|
Avner Karasik
|
Ofer Aharony, Micha Berkooz, Avner Karasik and Talya Vaknin
|
Supersymmetric Field Theories on AdS_p x S^q
|
45 pages, latex
| null |
10.1007/JHEP04(2016)066
|
WIS/15/09-NOV-DPPA
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we study supersymmetric field theories on an AdS_p x S^q
space-time that preserves their full supersymmetry. This is an interesting
example of supersymmetry on a non-compact curved space. The supersymmetry
algebra on such a space is a (p-1)-dimensional superconformal algebra, and we
classify all possible algebras that can arise for p >= 3. In some AdS_3 cases
more than one superconformal algebra can arise from the same field theory. We
discuss in detail the special case of four dimensional field theories with N=1
and N=2 supersymmetry on AdS_3 x S^1.
|
[
{
"created": "Tue, 15 Dec 2015 09:50:18 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Jan 2016 10:37:25 GMT",
"version": "v2"
}
] |
2016-05-04
|
[
[
"Aharony",
"Ofer",
""
],
[
"Berkooz",
"Micha",
""
],
[
"Karasik",
"Avner",
""
],
[
"Vaknin",
"Talya",
""
]
] |
In this paper we study supersymmetric field theories on an AdS_p x S^q space-time that preserves their full supersymmetry. This is an interesting example of supersymmetry on a non-compact curved space. The supersymmetry algebra on such a space is a (p-1)-dimensional superconformal algebra, and we classify all possible algebras that can arise for p >= 3. In some AdS_3 cases more than one superconformal algebra can arise from the same field theory. We discuss in detail the special case of four dimensional field theories with N=1 and N=2 supersymmetry on AdS_3 x S^1.
| 5.251212
| 5.082165
| 5.570577
| 4.927521
| 5.353816
| 4.974036
| 5.23417
| 4.965034
| 4.772645
| 5.856507
| 5.033159
| 4.958061
| 5.022183
| 4.846219
| 4.838919
| 4.92332
| 4.816637
| 4.833634
| 4.827985
| 5.060842
| 4.796216
|
1501.05318
|
Hong Lu
|
Zhong-Ying Fan and H. Lu
|
Electrically-Charged Lifshitz Spacetimes, and Hyperscaling Violations
|
Latex, 14 pages
| null |
10.1007/JHEP04(2015)139
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Electrically-charged Lifshitz spacetimes are hard to come by. In this paper,
we construct a class of such solutions in five dimensional Einstein gravity
coupled to Maxwell and $SU(2)$ Yang-Mills fields. The solutions are
electrically-charged under the Maxwell field, whose equation is sourced by the
Yang-Mills instanton(-like) configuration living in the hyperbolic four-space
of the Lifshitz spacetime. We then introduce a dilaton and construct charged
and colored Lifshitz spacetimes with hyperscaling violations. We obtain a class
of exact Lifshitz black holes. We also perform similar constructions in four
dimensions.
|
[
{
"created": "Wed, 21 Jan 2015 21:00:40 GMT",
"version": "v1"
}
] |
2015-05-20
|
[
[
"Fan",
"Zhong-Ying",
""
],
[
"Lu",
"H.",
""
]
] |
Electrically-charged Lifshitz spacetimes are hard to come by. In this paper, we construct a class of such solutions in five dimensional Einstein gravity coupled to Maxwell and $SU(2)$ Yang-Mills fields. The solutions are electrically-charged under the Maxwell field, whose equation is sourced by the Yang-Mills instanton(-like) configuration living in the hyperbolic four-space of the Lifshitz spacetime. We then introduce a dilaton and construct charged and colored Lifshitz spacetimes with hyperscaling violations. We obtain a class of exact Lifshitz black holes. We also perform similar constructions in four dimensions.
| 9.443338
| 8.202336
| 8.363886
| 8.01655
| 9.145425
| 9.014909
| 7.400936
| 7.898372
| 8.334754
| 9.15596
| 8.165007
| 8.273874
| 8.326524
| 8.201329
| 8.097114
| 7.858274
| 8.304579
| 8.234708
| 7.967599
| 8.731908
| 8.567196
|
1408.3418
|
David Tong
|
David Tong and Carl Turner
|
Quantum Dynamics of Supergravity on R^3 x S^1
|
48 pages. v2: Added small summary to section 4. v3: Typo corrected
| null |
10.1007/JHEP12(2014)142
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the quantum dynamics of N=1 supergravity in four dimensions with a
compact spatial circle. Supersymmetry ensures that the perturbative
contributions to the Casimir energy on the circle cancel. However, instanton
contributions remain. These render supersymmetric compactification on a circle
unstable and the background dynamically decompactifies back to four dimensions.
The calculation provides a testing ground for some old ideas in Euclidean
quantum gravity. In particular, we show that gravitational instantons are
associated to a new, infra-red scale which is naturally exponentially
suppressed relative to the Planck scale and arises from the logarithmic running
of the Gauss-Bonnet term. There are also some interesting technical details,
including the non-cancellation of bosonic and fermionic determinants around the
background of a self-dual gravitational instanton, despite the existence of
supersymmetry.
|
[
{
"created": "Thu, 14 Aug 2014 20:00:12 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Oct 2014 11:28:36 GMT",
"version": "v2"
},
{
"created": "Wed, 11 Aug 2021 18:23:20 GMT",
"version": "v3"
}
] |
2021-08-13
|
[
[
"Tong",
"David",
""
],
[
"Turner",
"Carl",
""
]
] |
We study the quantum dynamics of N=1 supergravity in four dimensions with a compact spatial circle. Supersymmetry ensures that the perturbative contributions to the Casimir energy on the circle cancel. However, instanton contributions remain. These render supersymmetric compactification on a circle unstable and the background dynamically decompactifies back to four dimensions. The calculation provides a testing ground for some old ideas in Euclidean quantum gravity. In particular, we show that gravitational instantons are associated to a new, infra-red scale which is naturally exponentially suppressed relative to the Planck scale and arises from the logarithmic running of the Gauss-Bonnet term. There are also some interesting technical details, including the non-cancellation of bosonic and fermionic determinants around the background of a self-dual gravitational instanton, despite the existence of supersymmetry.
| 9.125298
| 8.721302
| 9.729233
| 8.608879
| 9.048315
| 8.437432
| 9.085826
| 8.397854
| 8.677032
| 9.491687
| 8.522446
| 8.561392
| 8.711404
| 8.524371
| 8.356415
| 8.464557
| 8.523228
| 8.406775
| 8.459947
| 9.052388
| 8.302187
|
0805.1029
|
Michele Cicoli
|
Michele Cicoli, Joseph P. Conlon and Fernando Quevedo
|
General Analysis of LARGE Volume Scenarios with String Loop Moduli
Stabilisation
|
29 pages + appendix, 7 figures, references added, version published
on JHEP
|
JHEP 0810:105,2008
|
10.1088/1126-6708/2008/10/105
|
DAMTP-2008-16
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the topological conditions for general Calabi-Yaus to get a
non-supersymmetric AdS exponentially large volume minimum of the scalar
potential in flux compactifications of IIB string theory. We show that negative
Euler number and the existence of at least one blow-up mode resolving
point-like singularities are necessary and sufficient conditions for moduli
stabilisation with exponentially large volumes. We also analyse the general
effects of string loop corrections on this scenario. While the combination of
alpha' and nonperturbative corrections are sufficient to stabilise blow-up
modes and the overall volume, quantum corrections are needed to stabilise other
directions transverse to the overall volume. This allows exponentially large
volume minima to be realised for fibration Calabi-Yaus, with the various moduli
of the fibration all being stabilised at exponentially large values. String
loop corrections may also play a role in stabilising 4-cycles which support
chiral matter and cannot enter directly into the non-perturbative
superpotential. We illustrate these ideas by studying the scalar potential for
various Calabi-Yau three-folds including K3 fibrations and briefly discuss the
potential phenomenological and cosmological implications of our results.
|
[
{
"created": "Wed, 7 May 2008 17:40:05 GMT",
"version": "v1"
},
{
"created": "Mon, 26 May 2008 23:20:41 GMT",
"version": "v2"
},
{
"created": "Wed, 25 Jun 2008 13:44:16 GMT",
"version": "v3"
},
{
"created": "Mon, 27 Oct 2008 18:55:30 GMT",
"version": "v4"
}
] |
2009-12-07
|
[
[
"Cicoli",
"Michele",
""
],
[
"Conlon",
"Joseph P.",
""
],
[
"Quevedo",
"Fernando",
""
]
] |
We study the topological conditions for general Calabi-Yaus to get a non-supersymmetric AdS exponentially large volume minimum of the scalar potential in flux compactifications of IIB string theory. We show that negative Euler number and the existence of at least one blow-up mode resolving point-like singularities are necessary and sufficient conditions for moduli stabilisation with exponentially large volumes. We also analyse the general effects of string loop corrections on this scenario. While the combination of alpha' and nonperturbative corrections are sufficient to stabilise blow-up modes and the overall volume, quantum corrections are needed to stabilise other directions transverse to the overall volume. This allows exponentially large volume minima to be realised for fibration Calabi-Yaus, with the various moduli of the fibration all being stabilised at exponentially large values. String loop corrections may also play a role in stabilising 4-cycles which support chiral matter and cannot enter directly into the non-perturbative superpotential. We illustrate these ideas by studying the scalar potential for various Calabi-Yau three-folds including K3 fibrations and briefly discuss the potential phenomenological and cosmological implications of our results.
| 8.961109
| 9.180611
| 9.807404
| 8.965735
| 9.437527
| 8.735672
| 8.875378
| 8.584724
| 8.836242
| 11.214563
| 8.532334
| 8.902231
| 9.428673
| 8.778787
| 8.712167
| 8.878523
| 8.971459
| 8.819726
| 8.505401
| 9.111462
| 8.735724
|
hep-th/9804051
|
Ergin Sezgin
|
P.S. Howe, O. Raetzel and E. Sezgin
|
On Brane Actions and Superembeddings
|
19 pages, latex
|
JHEP 9808 (1998) 011
|
10.1088/1126-6708/1998/08/011
| null |
hep-th
| null |
Actions for branes, with or without worldsurface gauge fields, are discussed
in a unified framework. A simple algorithm is given for constructing the
component Green-Schwarz actions. Superspace actions are also discussed. Three
examples are given to illustrate the general procedure: the membrane in D=11
and the D2-brane, which both have on-shell worldsurface supermultiplets, and
the membrane in D=4, which has an off-shell multiplet.
|
[
{
"created": "Tue, 7 Apr 1998 05:19:26 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Howe",
"P. S.",
""
],
[
"Raetzel",
"O.",
""
],
[
"Sezgin",
"E.",
""
]
] |
Actions for branes, with or without worldsurface gauge fields, are discussed in a unified framework. A simple algorithm is given for constructing the component Green-Schwarz actions. Superspace actions are also discussed. Three examples are given to illustrate the general procedure: the membrane in D=11 and the D2-brane, which both have on-shell worldsurface supermultiplets, and the membrane in D=4, which has an off-shell multiplet.
| 12.958339
| 8.074178
| 13.250608
| 8.365104
| 8.539854
| 9.111762
| 9.303563
| 8.558578
| 8.324426
| 12.179389
| 8.824492
| 8.318285
| 9.820214
| 8.545428
| 8.985222
| 8.458235
| 8.424305
| 8.249781
| 8.381246
| 10.317447
| 8.924762
|
1306.5457
|
Andrew K. Waldron
|
S. Deser, K. Izumi, Y.C. Ong and A.Waldron
|
Massive Gravity Acausality Redux
|
16 pages LaTeX, references added, Physics Letters B version
|
Phys. Lett. B 726 (2013) 544
|
10.1016/j.physletb.2013.09.001
|
BRX-TH668, CALT 68-2942
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Massive gravity (mGR) is a 5(=2s+1) degree of freedom, finite range extension
of GR. However, amongst other problems, it is plagued by superluminal
propagation, first uncovered via a second order shock analysis. First order mGR
shock structures have also been studied, but the existence of superluminal
propagation in that context was left open. We present here a concordance of
these methods, by an explicit (first order) characteristic matrix computation,
which confirms mGR's superluminal propagation as well as acausality.
|
[
{
"created": "Sun, 23 Jun 2013 18:50:55 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Jun 2013 19:19:50 GMT",
"version": "v2"
},
{
"created": "Thu, 26 Sep 2013 23:45:26 GMT",
"version": "v3"
}
] |
2015-06-16
|
[
[
"Deser",
"S.",
""
],
[
"Izumi",
"K.",
""
],
[
"Ong",
"Y. C.",
""
],
[
"Waldron",
"A.",
""
]
] |
Massive gravity (mGR) is a 5(=2s+1) degree of freedom, finite range extension of GR. However, amongst other problems, it is plagued by superluminal propagation, first uncovered via a second order shock analysis. First order mGR shock structures have also been studied, but the existence of superluminal propagation in that context was left open. We present here a concordance of these methods, by an explicit (first order) characteristic matrix computation, which confirms mGR's superluminal propagation as well as acausality.
| 16.692095
| 17.112936
| 18.065821
| 15.454501
| 17.015957
| 18.409969
| 15.968145
| 15.284749
| 16.396833
| 21.928782
| 14.774382
| 15.733706
| 16.448885
| 15.587232
| 16.795708
| 15.954688
| 16.23752
| 15.366161
| 16.205103
| 16.041199
| 14.988508
|
hep-th/0408116
|
Walter Smilga
|
W. Smilga
|
Relativity in binary systems as root of quantum mechanics and space-time
|
added references, minor stylistic changes, extended title
| null | null | null |
hep-th quant-ph
| null |
Inspired by Bohr's dictum that "physical phenomena are observed relative to
different experimental setups", this article investigates the notion of
relativity in Bohr's sense, starting from a set of binary elements. The most
general form of information coding within such sets requires a description by
four-component states. By using Bohr's dictum as a guideline a quantum
mechanical description of the set is obtained in the form of a SO(3,2) based
spin network.
For large (macroscopic) sub-networks a flat-space approximation of SO(3,2)
leads to a Poincare symmetrical Hilbert space. The concept of a position of
four-component spinors relative to macroscopic sub-networks then delivers the
description of 'free' massive spin-1/2 particles with a Poincare symmetrical
Hilbert space.
Hence Minkowskian space-time, equipped with spin-1/2 particles, is obtained
as an inherent property of a system of binary elements when individual elements
are described relative to macroscopic sub-systems.
|
[
{
"created": "Sat, 14 Aug 2004 14:33:33 GMT",
"version": "v1"
},
{
"created": "Sat, 28 Aug 2004 12:35:54 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Smilga",
"W.",
""
]
] |
Inspired by Bohr's dictum that "physical phenomena are observed relative to different experimental setups", this article investigates the notion of relativity in Bohr's sense, starting from a set of binary elements. The most general form of information coding within such sets requires a description by four-component states. By using Bohr's dictum as a guideline a quantum mechanical description of the set is obtained in the form of a SO(3,2) based spin network. For large (macroscopic) sub-networks a flat-space approximation of SO(3,2) leads to a Poincare symmetrical Hilbert space. The concept of a position of four-component spinors relative to macroscopic sub-networks then delivers the description of 'free' massive spin-1/2 particles with a Poincare symmetrical Hilbert space. Hence Minkowskian space-time, equipped with spin-1/2 particles, is obtained as an inherent property of a system of binary elements when individual elements are described relative to macroscopic sub-systems.
| 13.922831
| 16.149841
| 15.167795
| 14.28373
| 15.730903
| 15.990504
| 16.064529
| 14.494905
| 14.996418
| 14.678893
| 14.218832
| 13.963966
| 14.774935
| 14.074093
| 14.068799
| 13.77571
| 14.462179
| 13.891175
| 14.371409
| 14.194515
| 13.513965
|
1801.03512
|
Johan Henriksson
|
Johan Henriksson and Mark van Loon
|
Critical O(N) model to order $\epsilon^4$ from analytic bootstrap
|
18+5 pages, 1 figure, Mathematica file included. v2: revised and
extended version
| null |
10.1088/1751-8121/aaf1e2
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute, using the method of large spin perturbation theory, the anomalous
dimensions and OPE coefficients of all leading twist operators in the critical
$ O(N) $ model, to fourth order in the $ \epsilon $-expansion. This is done
fully within a bootstrap framework, and generalizes a recent result for the
CFT-data of the Wilson-Fisher model. The anomalous dimensions we obtain for the
$ O(N) $ singlet operators agree with the literature values, obtained by
diagrammatic techniques, while the anomalous dimensions for operators in other
representations, as well as all OPE coefficients, are new. From the results for
the OPE coefficients, we derive the $ \epsilon^4 $ corrections to the central
charges $ C_T $ and $ C_J $, which are found to be compatible with the known
large $ N $ expansions. Predictions for the central charge in the strongly
coupled 3d model, including the 3d Ising model, are made for various values of
$ N $, which compare favourably with numerical results and previous
predictions.
|
[
{
"created": "Wed, 10 Jan 2018 19:00:53 GMT",
"version": "v1"
},
{
"created": "Fri, 31 Aug 2018 15:26:00 GMT",
"version": "v2"
}
] |
2018-12-26
|
[
[
"Henriksson",
"Johan",
""
],
[
"van Loon",
"Mark",
""
]
] |
We compute, using the method of large spin perturbation theory, the anomalous dimensions and OPE coefficients of all leading twist operators in the critical $ O(N) $ model, to fourth order in the $ \epsilon $-expansion. This is done fully within a bootstrap framework, and generalizes a recent result for the CFT-data of the Wilson-Fisher model. The anomalous dimensions we obtain for the $ O(N) $ singlet operators agree with the literature values, obtained by diagrammatic techniques, while the anomalous dimensions for operators in other representations, as well as all OPE coefficients, are new. From the results for the OPE coefficients, we derive the $ \epsilon^4 $ corrections to the central charges $ C_T $ and $ C_J $, which are found to be compatible with the known large $ N $ expansions. Predictions for the central charge in the strongly coupled 3d model, including the 3d Ising model, are made for various values of $ N $, which compare favourably with numerical results and previous predictions.
| 6.322781
| 6.268729
| 7.138467
| 5.710359
| 6.194117
| 6.347952
| 5.76087
| 5.736495
| 5.935294
| 7.157995
| 5.933606
| 5.921112
| 6.687767
| 5.963527
| 6.066451
| 5.981824
| 6.074122
| 5.841999
| 6.03567
| 6.624977
| 5.858812
|
2207.09817
|
\'Alvaro Pastor Guti\'errez
|
\'Alvaro Pastor-Guti\'errez, Jan M. Pawlowski and Manuel Reichert
|
The Asymptotically Safe Standard Model: From quantum gravity to
dynamical chiral symmetry breaking
|
41 pages, 19 figures. v3: summary of approximations and suggestions
from referees v2: discussion of full eigenfunctions of fixed point solution
added in Section V, typos corrected, citations added
|
SciPost Phys. 15, 105 (2023)
|
10.21468/SciPostPhys.15.3.105
| null |
hep-th gr-qc hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We present a comprehensive non-perturbative study of the phase structure of
the asymptotically safe Standard Model. The physics scales included range from
the asymptotically safe trans-Planckian regime in the ultraviolet, the
intermediate high-energy regime with electroweak symmetry breaking to strongly
correlated QCD in the infrared. All flows are computed with a self-consistent
functional renormalisation group approach, using a vertex expansion in the
fluctuation fields. In particular, this approach takes care of all physical
threshold effects and the respective decoupling of ultraviolet degrees of
freedom. Standard Model and gravity couplings and masses are fixed by their
experimental low energy values. Importantly, we accommodate for the difference
between the top pole mass and its Euclidean analogue. Both, the correct mass
determination and the threshold effects have a significant impact on the
qualitative properties, and in particular on the stability properties of the
specific ultraviolet-infrared trajectory with experimental Standard Model
physics in the infrared. We show that in the present rather advanced
approximation the matter part of the asymptotically safe Standard Model has the
same number of relevant parameters as the Standard Model, and is asymptotically
free. This result is based on the novel UV fixed point found in the present
work: the fixed point Higgs potential is flat but has two relevant directions.
These results and their analysis are accompanied by a thorough discussion of
the systematic error of the present truncation, also important for systematic
improvements.
|
[
{
"created": "Wed, 20 Jul 2022 11:04:13 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Aug 2022 08:42:45 GMT",
"version": "v2"
},
{
"created": "Thu, 16 Mar 2023 08:44:47 GMT",
"version": "v3"
}
] |
2023-09-20
|
[
[
"Pastor-Gutiérrez",
"Álvaro",
""
],
[
"Pawlowski",
"Jan M.",
""
],
[
"Reichert",
"Manuel",
""
]
] |
We present a comprehensive non-perturbative study of the phase structure of the asymptotically safe Standard Model. The physics scales included range from the asymptotically safe trans-Planckian regime in the ultraviolet, the intermediate high-energy regime with electroweak symmetry breaking to strongly correlated QCD in the infrared. All flows are computed with a self-consistent functional renormalisation group approach, using a vertex expansion in the fluctuation fields. In particular, this approach takes care of all physical threshold effects and the respective decoupling of ultraviolet degrees of freedom. Standard Model and gravity couplings and masses are fixed by their experimental low energy values. Importantly, we accommodate for the difference between the top pole mass and its Euclidean analogue. Both, the correct mass determination and the threshold effects have a significant impact on the qualitative properties, and in particular on the stability properties of the specific ultraviolet-infrared trajectory with experimental Standard Model physics in the infrared. We show that in the present rather advanced approximation the matter part of the asymptotically safe Standard Model has the same number of relevant parameters as the Standard Model, and is asymptotically free. This result is based on the novel UV fixed point found in the present work: the fixed point Higgs potential is flat but has two relevant directions. These results and their analysis are accompanied by a thorough discussion of the systematic error of the present truncation, also important for systematic improvements.
| 11.830381
| 11.583146
| 13.315559
| 11.486497
| 13.577794
| 12.948921
| 12.946347
| 11.574911
| 11.534916
| 14.020213
| 11.532866
| 11.778546
| 11.673807
| 11.299645
| 12.013802
| 11.76673
| 11.880159
| 11.273777
| 11.758793
| 11.828289
| 11.603857
|
hep-th/0410035
|
Leopoldo A. Pando Zayas
|
Martin Kruczenski, Leopoldo A. Pando Zayas, Jacob Sonnenschein and
Diana Vaman
|
Regge Trajectories for Mesons in the Holographic Dual of Large-N_c QCD
|
21 pages, 4 figures. v2: typos corrected, references and
acknowledgments added
|
JHEP0506:046,2005
|
10.1088/1126-6708/2005/06/046
|
MCTP-04-56, BRX TH-552
|
hep-th
| null |
We discuss Regge trajectories of dynamical mesons in large-N_c QCD, using the
supergravity background describing N_c D4-branes compactified on a thermal
circle. The flavor degrees of freedom arise from the addition of N_f<<N_c D6
probe branes. Our work provides a string theoretical derivation, via the
gauge/string correspondence, of a phenomenological model describing the meson
as rotating point-like massive particles connected by a flux string. The
massive endpoints induce nonlinearities for the Regge trajectory. For light
quarks the Regge trajectories of mesons are essentially linear. For massive
quarks our trajectories qualitatively capture the nonlinearity detected in
lattice calculations.
|
[
{
"created": "Mon, 4 Oct 2004 19:42:24 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Oct 2004 20:07:38 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Kruczenski",
"Martin",
""
],
[
"Zayas",
"Leopoldo A. Pando",
""
],
[
"Sonnenschein",
"Jacob",
""
],
[
"Vaman",
"Diana",
""
]
] |
We discuss Regge trajectories of dynamical mesons in large-N_c QCD, using the supergravity background describing N_c D4-branes compactified on a thermal circle. The flavor degrees of freedom arise from the addition of N_f<<N_c D6 probe branes. Our work provides a string theoretical derivation, via the gauge/string correspondence, of a phenomenological model describing the meson as rotating point-like massive particles connected by a flux string. The massive endpoints induce nonlinearities for the Regge trajectory. For light quarks the Regge trajectories of mesons are essentially linear. For massive quarks our trajectories qualitatively capture the nonlinearity detected in lattice calculations.
| 13.79576
| 12.403837
| 13.890318
| 12.589777
| 13.413069
| 12.697292
| 12.351518
| 12.250934
| 12.288891
| 16.250511
| 12.727431
| 12.243706
| 14.025469
| 12.426262
| 12.248652
| 12.136061
| 12.071691
| 12.378088
| 12.195345
| 13.792967
| 12.680656
|
2312.08368
|
Sergio Ernesto Aguilar Gutierrez
|
Sergio E. Aguilar-Gutierrez
|
Entanglement and factorization in axion-de Sitter universes
|
20 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study Renyi entropies and late-time bulk correlators between
asymptotically de Sitter space universes connected through an Euclidean axion
wormhole in arbitrary dimensions. We first establish the notion of entropy with
respect to these observers within the background-independent approach to the
algebra of operators. We then provide an explicit derivation of holographic
Renyi entropies between the universes considering the dS/CFT correspondence. In
the quantum mechanical description, the results can be recasted in terms of
reduced density matrix where one of the asymptotically dS universes is traced
out. Remarkably, our work shows that the throat of the Euclidean wormhole is
associated with the entanglement between the universes. Later, we study
correlators for heavy particles in the presence of an observer. We find that
the Euclidean wormhole saddle allows for the late-time correlators with respect
to observers located in the asymptotically dS universes to achieve a constant
value at late times, while for the disconnected saddles do not contribute. The
result is compatible with each of the asymptotically de Sitter universes being
described by a finite-dimensional quantum dual theory. Lastly, we provide with
an effective theory description of the dimensional reduction of these
geometries in terms of dilaton-gravity theory with conformally coupled matter.
|
[
{
"created": "Wed, 13 Dec 2023 18:58:28 GMT",
"version": "v1"
}
] |
2023-12-14
|
[
[
"Aguilar-Gutierrez",
"Sergio E.",
""
]
] |
We study Renyi entropies and late-time bulk correlators between asymptotically de Sitter space universes connected through an Euclidean axion wormhole in arbitrary dimensions. We first establish the notion of entropy with respect to these observers within the background-independent approach to the algebra of operators. We then provide an explicit derivation of holographic Renyi entropies between the universes considering the dS/CFT correspondence. In the quantum mechanical description, the results can be recasted in terms of reduced density matrix where one of the asymptotically dS universes is traced out. Remarkably, our work shows that the throat of the Euclidean wormhole is associated with the entanglement between the universes. Later, we study correlators for heavy particles in the presence of an observer. We find that the Euclidean wormhole saddle allows for the late-time correlators with respect to observers located in the asymptotically dS universes to achieve a constant value at late times, while for the disconnected saddles do not contribute. The result is compatible with each of the asymptotically de Sitter universes being described by a finite-dimensional quantum dual theory. Lastly, we provide with an effective theory description of the dimensional reduction of these geometries in terms of dilaton-gravity theory with conformally coupled matter.
| 10.443155
| 10.576608
| 11.439997
| 10.504851
| 9.950192
| 10.483059
| 10.846766
| 10.765177
| 10.028613
| 11.55645
| 10.157383
| 10.249548
| 10.48702
| 10.317216
| 10.386118
| 10.393358
| 10.309303
| 10.31435
| 10.296645
| 10.596186
| 10.146588
|
1912.13502
|
Cyril Closset
|
Cyril Closset and Michele Del Zotto
|
On 5d SCFTs and their BPS quivers. Part I: B-branes and brane tilings
|
68 pages plus appendix. Comments (and citation requests!) more than
welcome; v2: updated references and small comments
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the spectrum of BPS particles on the Coulomb branch of
five-dimensional superconformal field theories (5d SCFTs) compactified on a
circle. By engineering these theories in M-theory on ${\mathbf X} \times S^1 $,
for ${\mathbf X}$ an isolated Calabi-Yau threefold singularity, we naturally
identify the BPS category of the 5d theory on a circle with the derived
category of coherent sheaves on a resolution of ${\mathbf X}$. It follows that
the BPS spectrum can be studied in terms of 5d BPS quivers, which are the
fractional-brane quivers for the singularity ${\mathbf X}$. 5d BPS quivers
generalize the well-studied 4d BPS quivers for 4d $\mathcal{N}{=}2$ gauge
theories that can be obtained from ${\mathbf X}$ in so-called geometric
engineering limits. We study the interplay between 4d and 5d BPS quivers in
detail. We particularly focus on examples when ${\mathbf X}$ is a toric
singularity, in which case the 5d BPS quiver is given in terms of a brane
tiling. For instance, the well-studied $Y^{p,q}$ brane tiling gives a 5d BPS
quiver for the $SU(p)_q$ 5d gauge theory. We present a conjecture about the
structure of the BPS spectra of a wide class of models, which we test in the
simple case of the 5d $SU(2)_0$ theory (more precisely, the $E_1$ SCFT). We
also argue that 5d UV dualities can be realized in terms of mutation sequences
on the BPS quivers, which are in turn interpreted as autoequivalences of the
BPS category.
|
[
{
"created": "Tue, 31 Dec 2019 18:52:20 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Mar 2020 15:58:30 GMT",
"version": "v2"
}
] |
2020-03-03
|
[
[
"Closset",
"Cyril",
""
],
[
"Del Zotto",
"Michele",
""
]
] |
We study the spectrum of BPS particles on the Coulomb branch of five-dimensional superconformal field theories (5d SCFTs) compactified on a circle. By engineering these theories in M-theory on ${\mathbf X} \times S^1 $, for ${\mathbf X}$ an isolated Calabi-Yau threefold singularity, we naturally identify the BPS category of the 5d theory on a circle with the derived category of coherent sheaves on a resolution of ${\mathbf X}$. It follows that the BPS spectrum can be studied in terms of 5d BPS quivers, which are the fractional-brane quivers for the singularity ${\mathbf X}$. 5d BPS quivers generalize the well-studied 4d BPS quivers for 4d $\mathcal{N}{=}2$ gauge theories that can be obtained from ${\mathbf X}$ in so-called geometric engineering limits. We study the interplay between 4d and 5d BPS quivers in detail. We particularly focus on examples when ${\mathbf X}$ is a toric singularity, in which case the 5d BPS quiver is given in terms of a brane tiling. For instance, the well-studied $Y^{p,q}$ brane tiling gives a 5d BPS quiver for the $SU(p)_q$ 5d gauge theory. We present a conjecture about the structure of the BPS spectra of a wide class of models, which we test in the simple case of the 5d $SU(2)_0$ theory (more precisely, the $E_1$ SCFT). We also argue that 5d UV dualities can be realized in terms of mutation sequences on the BPS quivers, which are in turn interpreted as autoequivalences of the BPS category.
| 4.563336
| 4.331197
| 5.21975
| 4.266602
| 4.341372
| 4.147946
| 4.281179
| 4.157143
| 4.170591
| 5.255753
| 4.304052
| 4.366497
| 4.800226
| 4.396589
| 4.383999
| 4.385984
| 4.33902
| 4.319977
| 4.41534
| 4.848967
| 4.340889
|
hep-th/9704135
|
T. J. Fields
|
H. W. L. Naus, H. J. Pirner, T. J. Fields, J. P. Vary
|
QCD near the Light Cone
|
32 pages, ReVTeX, 2 Encapsulated PostScript figures
|
Phys.Rev. D56 (1997) 8062-8073
|
10.1103/PhysRevD.56.8062
| null |
hep-th
| null |
Starting from the QCD Lagrangian, we present the QCD Hamiltonian for near
light cone coordinates. We study the dynamics of the gluonic zero modes of this
Hamiltonian. The strong coupling solutions serve as a basis for the complete
problem. We discuss the importance of zero modes for the confinement mechanism.
|
[
{
"created": "Thu, 17 Apr 1997 22:54:45 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Naus",
"H. W. L.",
""
],
[
"Pirner",
"H. J.",
""
],
[
"Fields",
"T. J.",
""
],
[
"Vary",
"J. P.",
""
]
] |
Starting from the QCD Lagrangian, we present the QCD Hamiltonian for near light cone coordinates. We study the dynamics of the gluonic zero modes of this Hamiltonian. The strong coupling solutions serve as a basis for the complete problem. We discuss the importance of zero modes for the confinement mechanism.
| 13.800619
| 11.492264
| 12.404455
| 11.814307
| 11.892218
| 11.163552
| 10.731772
| 12.012687
| 10.373392
| 12.868052
| 11.232666
| 11.514517
| 11.981704
| 11.933123
| 11.90684
| 11.781996
| 12.036233
| 11.509596
| 11.267546
| 11.349224
| 11.86152
|
1004.1510
|
Dmitry Shirkov V.
|
D. V. Shirkov
|
Coupling running through the Looking-Glass of dimensional Reduction
|
8 pages, 4 figures,Version to match the one which (besides the
Appendix) will appear in "Particles and Nuclei (PEPAN), Letters", v.7, No
6(162) 2010 pp 625-631. Slightly edited, one more reference and related
numerical estimate added
|
Phys.Part.Nucl.Lett.7:379-383,2010
|
10.1134/S1547477110060014
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The dimensional reduction, in a form of transition from four to two
dimensions, was used in the 90s in a context of HE Regge scattering. Recently,
it got a new impetus in quantum gravity where it opens the way to
renormalizability and finite short-distance behavior. We consider a QFT model
$g\,\varphi^4\,$ with running coupling defined in both the two domains of
different dimensionality; the $\gbar(Q^2)\,$ evolutions being duly conjugated
at the reduction scale $\,Q\sim M.$ Beyond this scale, in the deep UV 2-dim
region, the running coupling does not increase any more. Instead, it {\it
slightly decreases} and tends to a finite value $\gbar_2(\infty) \,< \,
\gbar_2(M^2)\,$ from above. As a result, the global evolution picture looks
quite peculiar and can propose a base for the modified scenario of gauge
couplings behavior with UV fixed points provided by dimensional reduction
instead of leptoquarks.
|
[
{
"created": "Fri, 9 Apr 2010 09:39:40 GMT",
"version": "v1"
},
{
"created": "Wed, 26 May 2010 08:16:40 GMT",
"version": "v2"
},
{
"created": "Fri, 9 Jul 2010 09:40:41 GMT",
"version": "v3"
}
] |
2010-11-26
|
[
[
"Shirkov",
"D. V.",
""
]
] |
The dimensional reduction, in a form of transition from four to two dimensions, was used in the 90s in a context of HE Regge scattering. Recently, it got a new impetus in quantum gravity where it opens the way to renormalizability and finite short-distance behavior. We consider a QFT model $g\,\varphi^4\,$ with running coupling defined in both the two domains of different dimensionality; the $\gbar(Q^2)\,$ evolutions being duly conjugated at the reduction scale $\,Q\sim M.$ Beyond this scale, in the deep UV 2-dim region, the running coupling does not increase any more. Instead, it {\it slightly decreases} and tends to a finite value $\gbar_2(\infty) \,< \, \gbar_2(M^2)\,$ from above. As a result, the global evolution picture looks quite peculiar and can propose a base for the modified scenario of gauge couplings behavior with UV fixed points provided by dimensional reduction instead of leptoquarks.
| 19.742889
| 21.64645
| 19.207458
| 19.400362
| 20.744024
| 22.483543
| 20.883493
| 19.465425
| 18.790493
| 20.610559
| 19.43412
| 19.357481
| 18.162703
| 18.752048
| 18.667273
| 18.921291
| 19.084681
| 18.894484
| 18.918617
| 18.508266
| 18.515327
|
0704.3918
|
Antoine Van Proeyen
|
Kostas Skenderis, Paul K. Townsend and Antoine Van Proeyen
|
Domain-wall/Cosmology correspondence in adS/dS supergravity
|
21 pages;v2: rewritten to clarify the link with fake supergravity --
main results unchanged; v3: typos corrected, two refs added, JHEP version
|
JHEP0708:036,2007
|
10.1088/1126-6708/2007/08/036
|
DAMTP-2007-40, ITFA-2007-16, KUL-TF-07/09
|
hep-th
| null |
We realize the domain-wall/cosmology correspondence for
(pseudo)supersymmetric domain walls (cosmologies) in the context of
four-dimensional supergravity. The OSp(2|4)-invariant anti-de Sitter (adS)
vacuum of a particular N=2 Maxwell-Einstein supergravity theory is shown to
correspond to the OSp(2^*|2,2)-invariant de Sitter (dS) vacuum of a particular
pseudo-supergravity model, with `twisted' reality conditions on spinors. More
generally, supersymmetric domain walls of the former model correspond to
pseudo-supersymmetric cosmologies of the latter model, with time-dependent
pseudo-Killing spinors that we give explicitly.
|
[
{
"created": "Mon, 30 Apr 2007 19:58:39 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Jun 2007 10:05:16 GMT",
"version": "v2"
},
{
"created": "Tue, 14 Aug 2007 19:25:01 GMT",
"version": "v3"
}
] |
2010-02-17
|
[
[
"Skenderis",
"Kostas",
""
],
[
"Townsend",
"Paul K.",
""
],
[
"Van Proeyen",
"Antoine",
""
]
] |
We realize the domain-wall/cosmology correspondence for (pseudo)supersymmetric domain walls (cosmologies) in the context of four-dimensional supergravity. The OSp(2|4)-invariant anti-de Sitter (adS) vacuum of a particular N=2 Maxwell-Einstein supergravity theory is shown to correspond to the OSp(2^*|2,2)-invariant de Sitter (dS) vacuum of a particular pseudo-supergravity model, with `twisted' reality conditions on spinors. More generally, supersymmetric domain walls of the former model correspond to pseudo-supersymmetric cosmologies of the latter model, with time-dependent pseudo-Killing spinors that we give explicitly.
| 8.489305
| 6.964576
| 9.176807
| 6.772238
| 6.513368
| 7.482522
| 6.927997
| 6.796497
| 7.250468
| 9.459089
| 6.568592
| 6.782579
| 7.663352
| 6.889048
| 6.87289
| 6.797955
| 6.727573
| 6.867929
| 6.905302
| 7.950631
| 6.630278
|
1610.08080
|
Mohammad Reza Tanhayi
|
M Reza Tanhayi and R Vazirian
|
Higher-curvature Corrections to Holographic Entanglement with Momentum
Dissipation
|
24 pages, reference added, paper improved (HEE of sphere and cylinder
and also Wilson loop added), published version
|
Eur. Phys. J. C (2018) 78:162
| null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the effects of Gauss-Bonnet corrections on some nonlocal probes
(entanglement entropy, $n$-partite information and Wilson loop) in the
holographic model with momentum relaxation. Higher-curvature terms as well as
scalar fields make in fact nontrivial correction to the coefficient of
universal term in entanglement entropy. We use holographic methods to study
such corrections. Moreover, holographic calculation indicates that mutual and
tripartite information undergo a transition beyond which they identically
change their values. We find that the behavior of transition curves depends on
the sign of the Gauss-Bonnet coupling $\lambda$. The transition for $\lambda>0$
takes place in larger separation of subsystems than that of $\lambda<0$.
Finally, we examine the behavior of modified part of the force between external
point-like objects as a function of Gauss-Bonnet coupling and its sign.
|
[
{
"created": "Tue, 25 Oct 2016 20:20:32 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Nov 2016 16:28:54 GMT",
"version": "v2"
},
{
"created": "Thu, 2 Mar 2017 17:09:05 GMT",
"version": "v3"
},
{
"created": "Sat, 3 Mar 2018 15:28:13 GMT",
"version": "v4"
}
] |
2018-03-06
|
[
[
"Tanhayi",
"M Reza",
""
],
[
"Vazirian",
"R",
""
]
] |
We study the effects of Gauss-Bonnet corrections on some nonlocal probes (entanglement entropy, $n$-partite information and Wilson loop) in the holographic model with momentum relaxation. Higher-curvature terms as well as scalar fields make in fact nontrivial correction to the coefficient of universal term in entanglement entropy. We use holographic methods to study such corrections. Moreover, holographic calculation indicates that mutual and tripartite information undergo a transition beyond which they identically change their values. We find that the behavior of transition curves depends on the sign of the Gauss-Bonnet coupling $\lambda$. The transition for $\lambda>0$ takes place in larger separation of subsystems than that of $\lambda<0$. Finally, we examine the behavior of modified part of the force between external point-like objects as a function of Gauss-Bonnet coupling and its sign.
| 10.58032
| 11.081095
| 12.347307
| 10.662318
| 10.981239
| 10.423815
| 11.173206
| 10.522488
| 9.82776
| 13.551539
| 9.887645
| 10.753887
| 10.620849
| 10.292691
| 10.210796
| 10.409878
| 10.199543
| 10.273181
| 10.047314
| 10.665622
| 10.125609
|
hep-th/0511209
|
Christoph Adam
|
C. Adam, J. Sanchez-Guillen
|
Knot soliton models, submodels, and their symmetries
|
Talk given by CA at QTS4 Conference, Varna, August 2005
| null | null | null |
hep-th
| null |
For some non-linear field theories which allow for soliton solutions,
submodels with infinitely many conservation laws can be defined. Here we
investigate the symmetries of the submodels, where in some cases we find a
symmetry enhancement for the submodels, whereas in others we do not.
|
[
{
"created": "Mon, 21 Nov 2005 13:50:48 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Adam",
"C.",
""
],
[
"Sanchez-Guillen",
"J.",
""
]
] |
For some non-linear field theories which allow for soliton solutions, submodels with infinitely many conservation laws can be defined. Here we investigate the symmetries of the submodels, where in some cases we find a symmetry enhancement for the submodels, whereas in others we do not.
| 12.228992
| 9.453721
| 13.160329
| 9.410654
| 9.896433
| 9.371311
| 9.455757
| 9.608887
| 8.844666
| 13.959665
| 9.748962
| 10.15317
| 10.95553
| 10.44592
| 10.204038
| 10.689059
| 10.286656
| 10.327597
| 10.205746
| 10.980247
| 9.964156
|
1509.03285
|
Sophia K Domokos
|
Sophia K. Domokos and Gregory Gabadadze
|
Unparticles as the Holographic Dual of Gapped AdS Gravity
|
15 pages
|
Phys. Rev. D 92, 126011 (2015)
|
10.1103/PhysRevD.92.126011
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Naively applying holographic duality to gapped gravity on Anti de Sitter
(AdS) space seems to suggest that the stress tensor of the field theory dual
cannot be conserved. On the other hand, by symmetry arguments, it seems that
the dual should not violate Poincare symmetry. To clarify this apparent
contradiction, we study a holographic dual of massive gravity where both the
physical background metric and the fiducial metric are AdS. Using the anomalous
scaling of the energy momentum tensor as our guide, we conclude that the dual
theory is nonlocal. We find that the dual is similar to conformal invariant
"unparticle" theories. We show that such theories can be viewed as dimensional
reductions of flat-space field theories with inhomogeneous scaling properties.
|
[
{
"created": "Thu, 10 Sep 2015 19:25:35 GMT",
"version": "v1"
}
] |
2015-12-30
|
[
[
"Domokos",
"Sophia K.",
""
],
[
"Gabadadze",
"Gregory",
""
]
] |
Naively applying holographic duality to gapped gravity on Anti de Sitter (AdS) space seems to suggest that the stress tensor of the field theory dual cannot be conserved. On the other hand, by symmetry arguments, it seems that the dual should not violate Poincare symmetry. To clarify this apparent contradiction, we study a holographic dual of massive gravity where both the physical background metric and the fiducial metric are AdS. Using the anomalous scaling of the energy momentum tensor as our guide, we conclude that the dual theory is nonlocal. We find that the dual is similar to conformal invariant "unparticle" theories. We show that such theories can be viewed as dimensional reductions of flat-space field theories with inhomogeneous scaling properties.
| 10.429873
| 10.940214
| 10.354102
| 9.618055
| 11.440453
| 10.665919
| 9.852924
| 9.937068
| 9.974399
| 10.619265
| 9.805293
| 9.342299
| 9.643024
| 9.546236
| 9.208058
| 9.267526
| 10.017647
| 9.49517
| 9.522511
| 9.774037
| 9.638883
|
2012.10234
|
Sayantan Choudhury
|
Sayantan Choudhury, Satyaki Chowdhury, Nitin Gupta, Anurag Mishara,
Sachin Panneer Selvam, Sudhakar Panda, Gabriel D.Pasquino, Chiranjeeb Singha,
Abinash Swain
|
Circuit Complexity From Cosmological Islands
|
75 pages, 29 figures, 4 tables, Dr. Sayantan Choudhury would like to
dedicate this work to his lovable father and prime inspiration Professor
Manoranjan Choudhury who recently have passed away due to COVID 19. Updated
and revised version, Accepted for publication in Symmetry (section: Physics
and Symmetry/Asymmetry, Special issue: Manifest and Hidden Symmetries in
Field and String Theories)
|
Symmetry 13 (2021) no. 7, 1301
|
10.3390/sym13071301
| null |
hep-th cond-mat.dis-nn gr-qc nlin.CD quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently in various theoretical works, path-breaking progress has been made
in recovering the well-known Page Curve of an evaporating black hole with
Quantum Extremal Islands, proposed to solve the long-standing black hole
information loss problem related to the unitarity issue. Motivated by this
concept, in this paper, we study cosmological circuit complexity in the
presence (or absence) of Quantum Extremal Islands in the negative (or positive)
Cosmological Constant with radiation in the background of
Friedmann-Lema$\hat{i}$tre-Robertson-Walker (FLRW) space-time i.e the presence
and absence of islands in anti-de Sitter and the de Sitter spacetime having
SO(2, 3) and SO(1, 4) isometries respectively. Without using any explicit
details of any gravity model, we study the behaviour of the circuit complexity
function with respect to the dynamical cosmological solution for the scale
factors for the above-mentioned two situations in FLRW space-time using
squeezed state formalism. By studying the cosmological circuit complexity,
Out-of-Time Ordered Correlators, and entanglement entropy of the modes of the
squeezed state, in different parameter spaces, we conclude the non-universality
of these measures. Their remarkably different features in the different
parameter spaces suggest their dependence on the parameters of the model under
consideration.
|
[
{
"created": "Wed, 16 Dec 2020 23:43:57 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Jan 2021 18:53:51 GMT",
"version": "v2"
},
{
"created": "Sun, 14 Mar 2021 16:57:11 GMT",
"version": "v3"
},
{
"created": "Tue, 25 May 2021 11:54:45 GMT",
"version": "v4"
},
{
"created": "Sat, 3 Jul 2021 18:18:07 GMT",
"version": "v5"
}
] |
2021-07-21
|
[
[
"Choudhury",
"Sayantan",
""
],
[
"Chowdhury",
"Satyaki",
""
],
[
"Gupta",
"Nitin",
""
],
[
"Mishara",
"Anurag",
""
],
[
"Selvam",
"Sachin Panneer",
""
],
[
"Panda",
"Sudhakar",
""
],
[
"Pasquino",
"Gabriel D.",
""
],
[
"Singha",
"Chiranjeeb",
""
],
[
"Swain",
"Abinash",
""
]
] |
Recently in various theoretical works, path-breaking progress has been made in recovering the well-known Page Curve of an evaporating black hole with Quantum Extremal Islands, proposed to solve the long-standing black hole information loss problem related to the unitarity issue. Motivated by this concept, in this paper, we study cosmological circuit complexity in the presence (or absence) of Quantum Extremal Islands in the negative (or positive) Cosmological Constant with radiation in the background of Friedmann-Lema$\hat{i}$tre-Robertson-Walker (FLRW) space-time i.e the presence and absence of islands in anti-de Sitter and the de Sitter spacetime having SO(2, 3) and SO(1, 4) isometries respectively. Without using any explicit details of any gravity model, we study the behaviour of the circuit complexity function with respect to the dynamical cosmological solution for the scale factors for the above-mentioned two situations in FLRW space-time using squeezed state formalism. By studying the cosmological circuit complexity, Out-of-Time Ordered Correlators, and entanglement entropy of the modes of the squeezed state, in different parameter spaces, we conclude the non-universality of these measures. Their remarkably different features in the different parameter spaces suggest their dependence on the parameters of the model under consideration.
| 10.320635
| 10.574775
| 11.37775
| 10.425885
| 11.135801
| 10.749516
| 11.041548
| 10.39151
| 10.510754
| 11.349714
| 10.36219
| 10.18803
| 10.138241
| 9.94576
| 10.401806
| 10.044903
| 10.435166
| 10.091841
| 10.163184
| 10.265405
| 10.082025
|
1611.04773
|
Yoshinori Matsuo
|
Elias Kiritsis, Yoshinori Matsuo
|
Hyperscaling-Violating Lifshitz hydrodynamics from black-holes: Part II
|
52 pages, v2: published version, many minor misprints corrected, 55
pages
| null |
10.1007/JHEP03(2017)041
|
CCTP-2016-7, CCQCN-2016-152
|
hep-th cond-mat.quant-gas cond-mat.stat-mech cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The derivation of Lifshitz-invariant hydrodynamics from holography, presented
in [arXiv:1508.02494] is generalized to arbitrary hyperscaling violating
Lifshitz scaling theories with an unbroken U(1) symmetry. The hydrodynamics
emerging is non-relativistic with scalar "forcing". By a redefinition of the
pressure it becomes standard non-relativistic hydrodynamics in the presence of
specific chemical potential for the mass current. The hydrodynamics is
compatible with the scaling theory of Lifshitz invariance with hyperscaling
violation. The bulk viscosity vanishes while the shear viscosity to entropy
ratio is the same as in the relativistic case. We also consider the dimensional
reduction ansatz for the hydrodynamics and clarify the difference with previous
results suggesting a non-vanishing bulk viscosity.
|
[
{
"created": "Tue, 15 Nov 2016 10:25:55 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Sep 2017 13:15:16 GMT",
"version": "v2"
}
] |
2017-09-14
|
[
[
"Kiritsis",
"Elias",
""
],
[
"Matsuo",
"Yoshinori",
""
]
] |
The derivation of Lifshitz-invariant hydrodynamics from holography, presented in [arXiv:1508.02494] is generalized to arbitrary hyperscaling violating Lifshitz scaling theories with an unbroken U(1) symmetry. The hydrodynamics emerging is non-relativistic with scalar "forcing". By a redefinition of the pressure it becomes standard non-relativistic hydrodynamics in the presence of specific chemical potential for the mass current. The hydrodynamics is compatible with the scaling theory of Lifshitz invariance with hyperscaling violation. The bulk viscosity vanishes while the shear viscosity to entropy ratio is the same as in the relativistic case. We also consider the dimensional reduction ansatz for the hydrodynamics and clarify the difference with previous results suggesting a non-vanishing bulk viscosity.
| 8.302603
| 8.975895
| 8.950418
| 7.662005
| 8.709236
| 9.012783
| 8.625076
| 8.121389
| 8.339826
| 9.387354
| 8.05057
| 7.392448
| 7.989688
| 7.61153
| 7.551631
| 7.533077
| 7.810063
| 7.903646
| 7.815098
| 8.214973
| 7.435171
|
1707.08922
|
Marco Bill\'o
|
S. K. Ashok, M. Billo, E. Dell'Aquila, M. Frau, V. Gupta, R. R. John,
A. Lerda
|
Surface operators, chiral rings, and localization in N=2 gauge theories
|
41 pages. v3: typos corrected in the text and in some formulae. Some
sentences rephrased according to the suggestions of the referee. Matches the
version published on JHEP
| null |
10.1007/JHEP11(2017)137
|
ARC-17-5
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study half-BPS surface operators in supersymmetric gauge theories in four
and five dimensions following two different approaches. In the first approach
we analyze the chiral ring equations for certain quiver theories in two and
three dimensions, coupled respectively to four- and five-dimensional gauge
theories. The chiral ring equations, which arise from extremizing a twisted
chiral superpotential, are solved as power series in the infrared scales of the
quiver theories. In the second approach we use equivariant localization and
obtain the twisted chiral superpotential as a function of the Coulomb moduli of
the four- and five-dimensional gauge theories, and find a perfect match with
the results obtained from the chiral ring equations. In the five-dimensional
case this match is achieved after solving a number of subtleties in the
localization formulas which amounts to choosing a particular residue
prescription in the integrals that yield the Nekrasov-like partition functions
for ramified instantons. We also comment on the necessity of including
Chern-Simons terms in order to match the superpotentials obtained from dual
quiver descriptions of a given surface operator.
|
[
{
"created": "Thu, 27 Jul 2017 16:04:59 GMT",
"version": "v1"
},
{
"created": "Thu, 31 Aug 2017 12:10:54 GMT",
"version": "v2"
},
{
"created": "Fri, 22 Dec 2017 09:09:46 GMT",
"version": "v3"
}
] |
2018-01-17
|
[
[
"Ashok",
"S. K.",
""
],
[
"Billo",
"M.",
""
],
[
"Dell'Aquila",
"E.",
""
],
[
"Frau",
"M.",
""
],
[
"Gupta",
"V.",
""
],
[
"John",
"R. R.",
""
],
[
"Lerda",
"A.",
""
]
] |
We study half-BPS surface operators in supersymmetric gauge theories in four and five dimensions following two different approaches. In the first approach we analyze the chiral ring equations for certain quiver theories in two and three dimensions, coupled respectively to four- and five-dimensional gauge theories. The chiral ring equations, which arise from extremizing a twisted chiral superpotential, are solved as power series in the infrared scales of the quiver theories. In the second approach we use equivariant localization and obtain the twisted chiral superpotential as a function of the Coulomb moduli of the four- and five-dimensional gauge theories, and find a perfect match with the results obtained from the chiral ring equations. In the five-dimensional case this match is achieved after solving a number of subtleties in the localization formulas which amounts to choosing a particular residue prescription in the integrals that yield the Nekrasov-like partition functions for ramified instantons. We also comment on the necessity of including Chern-Simons terms in order to match the superpotentials obtained from dual quiver descriptions of a given surface operator.
| 6.47112
| 6.084708
| 7.243083
| 6.353942
| 6.752082
| 6.54968
| 6.092178
| 6.217669
| 6.272084
| 7.950312
| 6.194226
| 6.240691
| 6.6014
| 6.386494
| 6.518636
| 6.472479
| 6.148482
| 6.392012
| 6.312509
| 6.819603
| 6.487345
|
2202.05437
|
Wei-Jia Li
|
Yuan-Yuan Zhong and Wei-Jia Li
|
Transverse Goldstone mode in holographic fluids with broken translations
|
v2: minor revision: a physical explanation on the transverse
goldstone mode in normal fluids added, references added, publication version
|
Eur. Phys. J. C (2022) 82:511
|
10.1140/epjc/s10052-022-10430-w
| null |
hep-th cond-mat.str-el gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
In this paper we investigate the low energy shear modes in fluid systems with
spontaneously broken translations by a specific holographic model. In absence
of momentum relaxation, we find that there exist two decoupled gapless modes in
the transverse channel, one of which is purely diffusive and the other
corresponds to vortex like excitations. The diffusive mode is associated with
the conservation of momentum and the vortex mode can be viewed as the Goldstone
mode of the spontaneous symmetry breaking. Switching on an external source
which breaks the translations explicitly but weakly, the would-be gapless modes
both get relaxed and acquire a tiny mass gap. Finally, in the strong momentum
relaxation regime, we find a (pseudo-)diffusive-to-sound crossover that is set
by a momentum gap.
|
[
{
"created": "Fri, 11 Feb 2022 04:22:47 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Jun 2022 00:42:35 GMT",
"version": "v2"
}
] |
2022-06-08
|
[
[
"Zhong",
"Yuan-Yuan",
""
],
[
"Li",
"Wei-Jia",
""
]
] |
In this paper we investigate the low energy shear modes in fluid systems with spontaneously broken translations by a specific holographic model. In absence of momentum relaxation, we find that there exist two decoupled gapless modes in the transverse channel, one of which is purely diffusive and the other corresponds to vortex like excitations. The diffusive mode is associated with the conservation of momentum and the vortex mode can be viewed as the Goldstone mode of the spontaneous symmetry breaking. Switching on an external source which breaks the translations explicitly but weakly, the would-be gapless modes both get relaxed and acquire a tiny mass gap. Finally, in the strong momentum relaxation regime, we find a (pseudo-)diffusive-to-sound crossover that is set by a momentum gap.
| 11.370076
| 10.561987
| 11.834213
| 10.176035
| 9.917468
| 10.075902
| 9.496783
| 10.273734
| 9.844537
| 13.9316
| 10.108524
| 10.386475
| 11.238249
| 10.474648
| 10.37106
| 10.160081
| 10.207173
| 10.452095
| 10.481902
| 11.394272
| 10.473895
|
hep-th/9612239
|
Hitoshi Sato
|
Hitoshi Sato
|
Mirror Symmetry and the Web of Landau-Ginzburg String Vacua
|
Section 5 is largely extended, 23 pages, Latex 2.09, no figure
|
Nucl.Phys.B505:660-678,1997
|
10.1016/S0550-3213(97)00471-9
|
OU-HET 255
|
hep-th alg-geom math.AG
| null |
We present some mathematical aspects of Landau-Ginzburg string vacua in terms
of toric geometry. The one-to-one correspondence between toric divisors and
some of (-1,1) states in Landau-Ginzburg model is presented for superpotentials
of typical types. The Landau-Ginzburg interpretation of non-toric divisors is
also presented. Using this interpretation, we propose a method to solve the
so-called "twisted sector problem" by orbifold construction. Moreover,this
construction shows that the moduli spaces of the original Landau-Ginzburg
string vacua and their orbifolds are connected. By considering the mirror map
of Landau-Ginzburg models, we obtain the relation between Mori vectors and the
twist operators of our orbifoldization. This consideration enables us to argue
the embedding of the Seiberg-Witten curve in the defining equation of the
Calabi-Yau manifoulds on which the type II string gets compactified. Related
topics concerning the Calabi-Yau fourfolds and the extremal transition are
discussed.
|
[
{
"created": "Fri, 27 Dec 1996 04:05:11 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Dec 1996 05:54:00 GMT",
"version": "v2"
},
{
"created": "Thu, 15 May 1997 07:49:45 GMT",
"version": "v3"
}
] |
2010-12-03
|
[
[
"Sato",
"Hitoshi",
""
]
] |
We present some mathematical aspects of Landau-Ginzburg string vacua in terms of toric geometry. The one-to-one correspondence between toric divisors and some of (-1,1) states in Landau-Ginzburg model is presented for superpotentials of typical types. The Landau-Ginzburg interpretation of non-toric divisors is also presented. Using this interpretation, we propose a method to solve the so-called "twisted sector problem" by orbifold construction. Moreover,this construction shows that the moduli spaces of the original Landau-Ginzburg string vacua and their orbifolds are connected. By considering the mirror map of Landau-Ginzburg models, we obtain the relation between Mori vectors and the twist operators of our orbifoldization. This consideration enables us to argue the embedding of the Seiberg-Witten curve in the defining equation of the Calabi-Yau manifoulds on which the type II string gets compactified. Related topics concerning the Calabi-Yau fourfolds and the extremal transition are discussed.
| 10.655556
| 10.129301
| 11.73532
| 10.064862
| 10.217878
| 10.654083
| 10.802144
| 11.262886
| 10.379958
| 10.885991
| 10.07882
| 10.466449
| 11.123643
| 10.464954
| 10.316426
| 10.225371
| 10.130294
| 10.447643
| 10.595325
| 10.880881
| 10.302561
|
hep-th/0507284
|
Ioannis Bakas
|
I. Bakas
|
The algebraic structure of geometric flows in two dimensions
|
54 pages
|
JHEP 0510 (2005) 038
|
10.1088/1126-6708/2005/10/038
|
CERN-PH-TH/2005-134
|
hep-th gr-qc
| null |
There is a common description of different intrinsic geometric flows in two
dimensions using Toda field equations associated to continual Lie algebras that
incorporate the deformation variable t into their system. The Ricci flow admits
zero curvature formulation in terms of an infinite dimensional algebra with
Cartan operator d/dt. Likewise, the Calabi flow arises as Toda field equation
associated to a supercontinual algebra with odd Cartan operator d/d \theta -
\theta d/dt. Thus, taking the square root of the Cartan operator allows to
connect the two distinct classes of geometric deformations of second and fourth
order, respectively. The algebra is also used to construct formal solutions of
the Calabi flow in terms of free fields by Backlund transformations, as for the
Ricci flow. Some applications of the present framework to the general class of
Robinson-Trautman metrics that describe spherical gravitational radiation in
vacuum in four space-time dimensions are also discussed. Further iteration of
the algorithm allows to construct an infinite hierarchy of higher order
geometric flows, which are integrable in two dimensions and they admit
immediate generalization to Kahler manifolds in all dimensions. These flows
provide examples of more general deformations introduced by Calabi that
preserve the Kahler class and minimize the quadratic curvature functional for
extremal metrics.
|
[
{
"created": "Thu, 28 Jul 2005 17:17:37 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Bakas",
"I.",
""
]
] |
There is a common description of different intrinsic geometric flows in two dimensions using Toda field equations associated to continual Lie algebras that incorporate the deformation variable t into their system. The Ricci flow admits zero curvature formulation in terms of an infinite dimensional algebra with Cartan operator d/dt. Likewise, the Calabi flow arises as Toda field equation associated to a supercontinual algebra with odd Cartan operator d/d \theta - \theta d/dt. Thus, taking the square root of the Cartan operator allows to connect the two distinct classes of geometric deformations of second and fourth order, respectively. The algebra is also used to construct formal solutions of the Calabi flow in terms of free fields by Backlund transformations, as for the Ricci flow. Some applications of the present framework to the general class of Robinson-Trautman metrics that describe spherical gravitational radiation in vacuum in four space-time dimensions are also discussed. Further iteration of the algorithm allows to construct an infinite hierarchy of higher order geometric flows, which are integrable in two dimensions and they admit immediate generalization to Kahler manifolds in all dimensions. These flows provide examples of more general deformations introduced by Calabi that preserve the Kahler class and minimize the quadratic curvature functional for extremal metrics.
| 15.094968
| 15.919591
| 16.194996
| 14.921266
| 15.350927
| 15.06855
| 15.657445
| 15.40117
| 14.485801
| 17.321474
| 14.60752
| 14.055992
| 15.143141
| 14.345679
| 14.373781
| 13.91328
| 14.318327
| 14.838541
| 14.375543
| 15.202442
| 14.085766
|
hep-th/9911240
|
Nicholas Warner
|
N.P. Warner
|
Renormalization Group Flows from Five-Dimensional Supergravity
|
12 pages, 3 figures; Latex, ioplppt.sty, iopl12.sty, epsf.sty.
Contribution to Strings `99
|
Class.Quant.Grav.17:1287-1297,2000
|
10.1088/0264-9381/17/5/338
|
USC-99/006, CITUSC/99-006
|
hep-th
| null |
The use of gauged ${\cal N} = 8$ supergravity as a tool in studying the
AdS/CFT correspondence for ${\cal N} = 4$ Yang-Mills theory is reviewed. The
supergravity potential implies a non-trivial, supersymmetric IR fixed point,
and the flow to this fixed point is described in terms of a supergravity kink.
The results agree perfectly with earlier, independent field theory results. A
supergravity inspired $c$-function, and corresponding $c$-theorem is discussed
for general flows, and the simplified form for supersymmetric flows is also
given. Flows along the Coulomb branch of the Yang-Mills theory are also
described from the five-dimensional perspective.
|
[
{
"created": "Mon, 29 Nov 1999 23:55:06 GMT",
"version": "v1"
}
] |
2011-04-15
|
[
[
"Warner",
"N. P.",
""
]
] |
The use of gauged ${\cal N} = 8$ supergravity as a tool in studying the AdS/CFT correspondence for ${\cal N} = 4$ Yang-Mills theory is reviewed. The supergravity potential implies a non-trivial, supersymmetric IR fixed point, and the flow to this fixed point is described in terms of a supergravity kink. The results agree perfectly with earlier, independent field theory results. A supergravity inspired $c$-function, and corresponding $c$-theorem is discussed for general flows, and the simplified form for supersymmetric flows is also given. Flows along the Coulomb branch of the Yang-Mills theory are also described from the five-dimensional perspective.
| 8.926118
| 8.066243
| 9.012332
| 8.219781
| 7.815994
| 7.866722
| 8.336009
| 8.227837
| 7.942821
| 9.33126
| 7.740066
| 7.964824
| 8.620358
| 7.876035
| 7.829736
| 7.923242
| 7.86256
| 7.847378
| 7.820028
| 8.567454
| 7.825002
|
hep-th/0104018
|
Quano
|
Yas-Hiro Quano (Suzuka University of Medical Science)
|
Smirnov-type integral formulae for correlation functions of the
bulk/boundary XXZ model in the anti-ferromagnetic regime
|
21pages, LaTex2e
|
Prog.Theor.Phys.108:435-456,2002
|
10.1143/PTP.108.435
| null |
hep-th
| null |
Presented are the integral solutions to the quantum Knizhnik-Zamolodchikov
equations for the correlation functions of both the bulk and boundary XXZ
models in the anti-ferromagnetic regime. The difference equations can be
derived from Smirnov-type master equations for correlation functions on the
basis of the CTM bootstrap. Our integral solutions with an appropriate choice
of the integral kernel reproduce the formulae previously obtained by using the
bosonization of the vertex operators of the quantum affine algebra $U_q
(\hat{\mathfrak{sl}_2})$.
|
[
{
"created": "Tue, 3 Apr 2001 05:09:46 GMT",
"version": "v1"
}
] |
2011-07-19
|
[
[
"Quano",
"Yas-Hiro",
"",
"Suzuka University of Medical Science"
]
] |
Presented are the integral solutions to the quantum Knizhnik-Zamolodchikov equations for the correlation functions of both the bulk and boundary XXZ models in the anti-ferromagnetic regime. The difference equations can be derived from Smirnov-type master equations for correlation functions on the basis of the CTM bootstrap. Our integral solutions with an appropriate choice of the integral kernel reproduce the formulae previously obtained by using the bosonization of the vertex operators of the quantum affine algebra $U_q (\hat{\mathfrak{sl}_2})$.
| 9.40101
| 8.27193
| 11.929899
| 8.274437
| 9.070244
| 8.50196
| 8.47633
| 7.838562
| 7.983851
| 11.413247
| 8.210757
| 8.402717
| 9.376603
| 8.608405
| 8.798376
| 8.652918
| 8.65096
| 8.913381
| 8.739928
| 9.19385
| 8.678971
|
1609.03712
|
Noboru Kawamoto
|
Alessandro D'Adda, Noboru Kawamoto, Naoki Shimode and Takuya Tsukioka
|
Quaternion based generalization of Chern-Simons theories in arbitrary
dimensions
|
11 pages
| null |
10.1016/j.physletb.2017.05.067
|
EPHOU 16-014
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A generalization of Chern-Simons gauge theory is formulated in any dimension
and arbitrary gauge group where gauge fields and gauge parameters are
differential forms of any degree. The quaternion algebra structure of this
formulation is shown to be equivalent to a three Z(2)-gradings structure, thus
clarifying the quaternion role in a previous formulation.
|
[
{
"created": "Tue, 13 Sep 2016 07:41:16 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Mar 2017 05:30:09 GMT",
"version": "v2"
}
] |
2017-05-31
|
[
[
"D'Adda",
"Alessandro",
""
],
[
"Kawamoto",
"Noboru",
""
],
[
"Shimode",
"Naoki",
""
],
[
"Tsukioka",
"Takuya",
""
]
] |
A generalization of Chern-Simons gauge theory is formulated in any dimension and arbitrary gauge group where gauge fields and gauge parameters are differential forms of any degree. The quaternion algebra structure of this formulation is shown to be equivalent to a three Z(2)-gradings structure, thus clarifying the quaternion role in a previous formulation.
| 15.591202
| 14.518938
| 15.36274
| 14.523817
| 16.315487
| 15.905353
| 14.465004
| 15.778634
| 13.250133
| 16.855761
| 13.302705
| 13.719757
| 14.723934
| 13.566365
| 13.67709
| 13.652421
| 13.141143
| 13.671287
| 13.683083
| 14.700201
| 12.89882
|
1806.06051
|
Yunfeng Jiang
|
Burkhard Eden, Yunfeng Jiang, Marius de Leeuw, Tim Meier, Dennis le
Plat, Alessandro Sfondrini
|
Positivity of hexagon perturbation theory
|
v2: misprints corrected, further details on physical magnons added
| null |
10.1007/JHEP11(2018)097
|
HU-EP-18/18, HU-MATH 2018-05, TCDMATH~18-08
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The hexagon-form-factor program was proposed as a way to compute three- and
higher-point correlation functions in $\mathcal{N}=4$ super-symmetric
Yang-Mills theory and in the dual AdS$_5\times$S$^5$ superstring theory, by
exploiting the integrability of the theory in the 't Hooft limit. This approach
is reminiscent of the asymptotic Bethe ansatz in that it applies to a
large-volume expansion. Finite-volume corrections can be incorporated through
L\"uscher-like formulae, though the systematics of this expansion is largely
unexplored so far. Strikingly, finite-volume corrections may feature negative
powers of the 't Hooft coupling $g$ in the small-$g$ expansion, potentially
leading to a breakdown of the formalism. In this work we show that the
finite-volume perturbation theory for the hexagon is positive and thereby
compatible with the weak-coupling expansion for arbitrary $n$-point functions.
|
[
{
"created": "Fri, 15 Jun 2018 17:34:15 GMT",
"version": "v1"
},
{
"created": "Sat, 30 Jun 2018 19:33:29 GMT",
"version": "v2"
}
] |
2018-12-05
|
[
[
"Eden",
"Burkhard",
""
],
[
"Jiang",
"Yunfeng",
""
],
[
"de Leeuw",
"Marius",
""
],
[
"Meier",
"Tim",
""
],
[
"Plat",
"Dennis le",
""
],
[
"Sfondrini",
"Alessandro",
""
]
] |
The hexagon-form-factor program was proposed as a way to compute three- and higher-point correlation functions in $\mathcal{N}=4$ super-symmetric Yang-Mills theory and in the dual AdS$_5\times$S$^5$ superstring theory, by exploiting the integrability of the theory in the 't Hooft limit. This approach is reminiscent of the asymptotic Bethe ansatz in that it applies to a large-volume expansion. Finite-volume corrections can be incorporated through L\"uscher-like formulae, though the systematics of this expansion is largely unexplored so far. Strikingly, finite-volume corrections may feature negative powers of the 't Hooft coupling $g$ in the small-$g$ expansion, potentially leading to a breakdown of the formalism. In this work we show that the finite-volume perturbation theory for the hexagon is positive and thereby compatible with the weak-coupling expansion for arbitrary $n$-point functions.
| 6.915819
| 6.30928
| 6.909663
| 6.000829
| 6.269009
| 6.303689
| 5.986792
| 5.861414
| 5.553833
| 8.024341
| 6.05332
| 5.859794
| 6.593394
| 5.876674
| 5.858253
| 5.974373
| 6.089961
| 6.019847
| 5.91568
| 6.325994
| 5.879721
|
1605.03363
|
Katsuta Sakai
|
Masafumi Fukuma, Hikaru Kawai, Katsuta Sakai, Junji Yamamoto
|
Massive higher spin fields in curved spacetime and necessity of
non-minimal couplings
|
19 pages; discussion on spin 3 added, references added (v2); footnote
9 corrected (v3)
| null | null |
KUNS-2625
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Free massive higher spin fields in weak background gravitational fields are
discussed. Contrary to the spin one case, higher spin fields should have
nontrivial non-minimal couplings to the curvature. A precise analysis is given
for the spin 2 case, and it is shown that two conditions should be satisfied
among five non-minimal coupling constants, which we derive both in the
Hamiltonian and Lagrangian formalisms. It is checked that the linearized limit
of the massive gravity theory indeed has the non-minimal couplings that satisfy
the conditions. We also discuss the form of the non-minimal couplings for the
spin 3 case.
|
[
{
"created": "Wed, 11 May 2016 10:19:33 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Jun 2016 10:36:32 GMT",
"version": "v2"
},
{
"created": "Thu, 30 Jun 2016 08:21:58 GMT",
"version": "v3"
}
] |
2016-07-01
|
[
[
"Fukuma",
"Masafumi",
""
],
[
"Kawai",
"Hikaru",
""
],
[
"Sakai",
"Katsuta",
""
],
[
"Yamamoto",
"Junji",
""
]
] |
Free massive higher spin fields in weak background gravitational fields are discussed. Contrary to the spin one case, higher spin fields should have nontrivial non-minimal couplings to the curvature. A precise analysis is given for the spin 2 case, and it is shown that two conditions should be satisfied among five non-minimal coupling constants, which we derive both in the Hamiltonian and Lagrangian formalisms. It is checked that the linearized limit of the massive gravity theory indeed has the non-minimal couplings that satisfy the conditions. We also discuss the form of the non-minimal couplings for the spin 3 case.
| 8.540668
| 7.772606
| 7.612344
| 6.837852
| 7.129282
| 7.083347
| 7.292131
| 7.004186
| 6.885896
| 7.388422
| 6.997623
| 7.159999
| 6.974178
| 6.890664
| 7.163157
| 7.048116
| 6.857396
| 6.837533
| 6.929212
| 6.942051
| 6.709208
|
2208.10301
|
Shun'ya Mizoguchi
|
Shun'ya Mizoguchi
|
Seiberg-Witten Theory and Monstrous Moonshine
|
12 pages
| null | null |
KEK-TH-2446
|
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We study the relation between the instanton expansion of the Seiberg-Witten
prepotential for $D=4$, ${\cal N}=2$ $SU(2)$ SUSY gauge theory for $N_f=0$ and
$1$ and the monstrous moonshine. By utilizing a newly developed simple method
to obtain the SW prepotential, it is shown that the coefficients of the
expansion of $q=e^{2\pi \tau}$ in terms of $A^2=\frac{\Lambda^2}{16 a^2}$
($N_f=0$) or $\frac{\Lambda^2}{16 \sqrt{2}a^2}$ ($N_f=1$) are all integer
coefficient polynomials of the moonshine coefficients of the modular
$j$-function. A relationship between the AGT $c = 25$ Liouville CFT and the $c
= 24$ vertex operator algebra CFT of the moonshine module is also suggested.
|
[
{
"created": "Mon, 22 Aug 2022 13:26:50 GMT",
"version": "v1"
}
] |
2022-08-23
|
[
[
"Mizoguchi",
"Shun'ya",
""
]
] |
We study the relation between the instanton expansion of the Seiberg-Witten prepotential for $D=4$, ${\cal N}=2$ $SU(2)$ SUSY gauge theory for $N_f=0$ and $1$ and the monstrous moonshine. By utilizing a newly developed simple method to obtain the SW prepotential, it is shown that the coefficients of the expansion of $q=e^{2\pi \tau}$ in terms of $A^2=\frac{\Lambda^2}{16 a^2}$ ($N_f=0$) or $\frac{\Lambda^2}{16 \sqrt{2}a^2}$ ($N_f=1$) are all integer coefficient polynomials of the moonshine coefficients of the modular $j$-function. A relationship between the AGT $c = 25$ Liouville CFT and the $c = 24$ vertex operator algebra CFT of the moonshine module is also suggested.
| 6.11154
| 5.309469
| 7.373722
| 5.895836
| 6.085318
| 6.505109
| 5.930987
| 5.97623
| 5.830226
| 7.64808
| 6.127928
| 6.063903
| 6.332366
| 6.091437
| 6.083551
| 6.058446
| 6.1331
| 5.845353
| 5.998496
| 6.27515
| 6.011492
|
1911.10846
|
A. Yu. Petrov
|
A. C. Lehum, J. R. Nascimento, A. Yu. Petrov, Huan Souza
|
Renormalization Group Improvement of the Superpotential for the N=2
Chern-Simons-matter model
|
14 pages, version accepted to PRD
|
Phys. Rev. D 101, 045005 (2020)
|
10.1103/PhysRevD.101.045005
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Within the superfield formalism, we study the renormalization group
improvement of the effective superpotential for the ${\cal N}=2$
Chern-Simons-matter theory, explicitly obtain the improved effective potential
and discuss the minima of the effective potential and a problem of mass
generation in the theory.
|
[
{
"created": "Mon, 25 Nov 2019 11:41:56 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Nov 2019 16:22:00 GMT",
"version": "v2"
},
{
"created": "Thu, 23 Jan 2020 20:13:46 GMT",
"version": "v3"
}
] |
2020-02-11
|
[
[
"Lehum",
"A. C.",
""
],
[
"Nascimento",
"J. R.",
""
],
[
"Petrov",
"A. Yu.",
""
],
[
"Souza",
"Huan",
""
]
] |
Within the superfield formalism, we study the renormalization group improvement of the effective superpotential for the ${\cal N}=2$ Chern-Simons-matter theory, explicitly obtain the improved effective potential and discuss the minima of the effective potential and a problem of mass generation in the theory.
| 10.158332
| 7.521945
| 7.975871
| 7.33296
| 7.401273
| 7.678605
| 7.208812
| 7.568079
| 7.59811
| 9.641802
| 7.359145
| 7.830201
| 8.981495
| 8.165915
| 8.342454
| 8.386091
| 8.378021
| 8.458724
| 8.081059
| 8.849511
| 8.07556
|
2012.14437
|
Sebastian Fischetti
|
Krai Cheamsawat, Sebastian Fischetti, Lucas Wallis, and Toby Wiseman
|
A Surprising Similarity Between Holographic CFTs and a Free Fermion in
$(2+1)$ Dimensions
|
16+8 pages, 13 figures. v2: References added, minor edits
| null |
10.1007/JHEP05(2021)246
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compare the behavior of the vacuum free energy (i.e. the Casimir energy)
of various $(2+1)$-dimensional CFTs on an ultrastatic spacetime as a function
of the spatial geometry. The CFTs we consider are a free Dirac fermion, the
conformally-coupled scalar, and a holographic CFT, and we take the spatial
geometry to be an axisymmetric deformation of the round sphere. The free
energies of the fermion and of the scalar are computed numerically using heat
kernel methods; the free energy of the holographic CFT is computed numerically
from a static, asymptotically AdS dual geometry using a novel approach we
introduce here. We find that the free energy of the two free theories is
qualitatively similar as a function of the sphere deformation, but we also find
that the holographic CFT has a remarkable and mysterious quantitative
similarity to the free fermion; this agreement is especially surprising given
that the holographic CFT is strongly-coupled. Over the wide ranges of
deformations for which we are able to perform the computations accurately, the
scalar and fermion differ by up to 50% whereas the holographic CFT differs from
the fermion by less than one percent.
|
[
{
"created": "Mon, 28 Dec 2020 19:00:00 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Mar 2021 18:14:29 GMT",
"version": "v2"
}
] |
2023-01-11
|
[
[
"Cheamsawat",
"Krai",
""
],
[
"Fischetti",
"Sebastian",
""
],
[
"Wallis",
"Lucas",
""
],
[
"Wiseman",
"Toby",
""
]
] |
We compare the behavior of the vacuum free energy (i.e. the Casimir energy) of various $(2+1)$-dimensional CFTs on an ultrastatic spacetime as a function of the spatial geometry. The CFTs we consider are a free Dirac fermion, the conformally-coupled scalar, and a holographic CFT, and we take the spatial geometry to be an axisymmetric deformation of the round sphere. The free energies of the fermion and of the scalar are computed numerically using heat kernel methods; the free energy of the holographic CFT is computed numerically from a static, asymptotically AdS dual geometry using a novel approach we introduce here. We find that the free energy of the two free theories is qualitatively similar as a function of the sphere deformation, but we also find that the holographic CFT has a remarkable and mysterious quantitative similarity to the free fermion; this agreement is especially surprising given that the holographic CFT is strongly-coupled. Over the wide ranges of deformations for which we are able to perform the computations accurately, the scalar and fermion differ by up to 50% whereas the holographic CFT differs from the fermion by less than one percent.
| 5.456285
| 5.46319
| 5.454266
| 4.995429
| 5.419733
| 5.353059
| 5.366431
| 5.180062
| 5.267113
| 5.976379
| 5.164834
| 5.271835
| 5.465086
| 5.379253
| 5.211372
| 5.32804
| 5.213337
| 5.274447
| 5.319736
| 5.503693
| 5.199182
|
hep-th/9712013
|
Esko Keski-Vakkuri
|
Esko Keski-Vakkuri and Per Kraus (Caltech)
|
Short Distance Contributions to Graviton-Graviton Scattering: Matrix
Theory versus Supergravity
|
13 pages, LaTeX file with 3 Postscript figures. Uses epsf.tex and
fps.sty macros. Revisions of v2: some comments in the end of section 3 have
been removed
|
Nucl.Phys. B529 (1998) 246-258
|
10.1016/S0550-3213(98)00319-8
|
CALT-68-2148
|
hep-th
| null |
We study graviton scattering in the presence of higher dimensional operators
- particularly, R^4 - arising from loop effects. We find that the results do
not correspond to any known terms in the effective action of Matrix Theory,
thus lending support to the idea that the finite N Matrix Theory has no simple
relation to supergravity with large compactification radii.
|
[
{
"created": "Mon, 1 Dec 1997 21:51:57 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Jun 1998 21:12:29 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Keski-Vakkuri",
"Esko",
"",
"Caltech"
],
[
"Kraus",
"Per",
"",
"Caltech"
]
] |
We study graviton scattering in the presence of higher dimensional operators - particularly, R^4 - arising from loop effects. We find that the results do not correspond to any known terms in the effective action of Matrix Theory, thus lending support to the idea that the finite N Matrix Theory has no simple relation to supergravity with large compactification radii.
| 15.937808
| 14.811612
| 13.888561
| 11.798659
| 11.875337
| 12.470083
| 11.463805
| 12.213077
| 11.67049
| 16.687721
| 12.613136
| 13.296356
| 13.334258
| 13.081041
| 13.371529
| 13.425157
| 13.148275
| 13.651506
| 12.390569
| 13.427853
| 13.439988
|
hep-th/9908156
|
Shoichi Ichinose
|
Shoichi Ichinose
|
New Regularization Using Domain Wall
|
51 pages,10 figures
|
Nucl.Phys. B574 (2000) 719-760
|
10.1016/S0550-3213(00)00037-7
|
US-99-02
|
hep-th hep-lat
| null |
We present a new regularization method, for d dim (Euclidean) quantum field
theories in the continuum formalism, based on the domain wall configuration in
(1+d) dim space-time. It is inspired by the recent progress in the chiral
fermions on the lattice. The wall "height" is given by 1/M, where M is a
regularization mass parameter and appears as a 1+d dim Dirac fermion mass. The
present approach gives a thermodynamic view to the domain wall or the overlap
formalism in the lattice field theory. We will show qualitative correspondence
between the present continuum results and those of the lattice. The extra
dimension is regarded as the (inverse) temperature t. The domains are defined
by the directions of the "system movement", not by the sign of M as in the
original overlap formalism. Physically the parameter M controls both the
chirality selection and the dimensional reduction to d dimension. From the
point of regularization, the limit $Mt\ra 0$ regularize the infra-red behaviour
whereas the condition on the momentum ($k^\m$) integral, $|k^\m|\leq M$,
regularize the ultra-violet behaviour.
To check the new regularization works correctly, we take the 4 dim QED and 2
dim chiral gauge theory as examples. Especially the consistent and covariant
anomalies are correctly obtained. The choice of solutions of the higher dim
Dirac equation characterize the two anomalies. The projective properties of the
positive and negative energy free solutions are exploited in calculation. Some
integral functions, the incomplete gamma functions and the generalized
hypergeometric functions characteristically appear in the regularization
procedure.
|
[
{
"created": "Tue, 24 Aug 1999 07:36:58 GMT",
"version": "v1"
},
{
"created": "Sat, 18 Dec 1999 08:03:30 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Ichinose",
"Shoichi",
""
]
] |
We present a new regularization method, for d dim (Euclidean) quantum field theories in the continuum formalism, based on the domain wall configuration in (1+d) dim space-time. It is inspired by the recent progress in the chiral fermions on the lattice. The wall "height" is given by 1/M, where M is a regularization mass parameter and appears as a 1+d dim Dirac fermion mass. The present approach gives a thermodynamic view to the domain wall or the overlap formalism in the lattice field theory. We will show qualitative correspondence between the present continuum results and those of the lattice. The extra dimension is regarded as the (inverse) temperature t. The domains are defined by the directions of the "system movement", not by the sign of M as in the original overlap formalism. Physically the parameter M controls both the chirality selection and the dimensional reduction to d dimension. From the point of regularization, the limit $Mt\ra 0$ regularize the infra-red behaviour whereas the condition on the momentum ($k^\m$) integral, $|k^\m|\leq M$, regularize the ultra-violet behaviour. To check the new regularization works correctly, we take the 4 dim QED and 2 dim chiral gauge theory as examples. Especially the consistent and covariant anomalies are correctly obtained. The choice of solutions of the higher dim Dirac equation characterize the two anomalies. The projective properties of the positive and negative energy free solutions are exploited in calculation. Some integral functions, the incomplete gamma functions and the generalized hypergeometric functions characteristically appear in the regularization procedure.
| 16.484041
| 17.199345
| 17.412146
| 16.059761
| 16.861506
| 16.355558
| 17.33699
| 15.929055
| 16.650478
| 18.975121
| 16.296541
| 15.586425
| 16.092852
| 16.058311
| 15.660999
| 15.839914
| 16.114544
| 15.266109
| 15.98186
| 16.745852
| 15.406946
|
hep-th/9909019
|
Hubert Saleur
|
H. Saleur
|
A comment on finite temperature correlations in integrable QFT
|
11 pages
|
Nucl.Phys. B567 (2000) 602-610
|
10.1016/S0550-3213(99)00665-3
| null |
hep-th
| null |
I discuss and extend the recent proposal of Leclair and Mussardo for finite
temperature correlation functions in integrable QFTs. I give further
justification for its validity in the case of one point functions of conserved
quantities. I also argue that the proposal is not correct for two (and higher)
point functions, and give some counterexamples to justify that claim.
|
[
{
"created": "Fri, 3 Sep 1999 18:28:47 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Saleur",
"H.",
""
]
] |
I discuss and extend the recent proposal of Leclair and Mussardo for finite temperature correlation functions in integrable QFTs. I give further justification for its validity in the case of one point functions of conserved quantities. I also argue that the proposal is not correct for two (and higher) point functions, and give some counterexamples to justify that claim.
| 11.887897
| 9.962676
| 13.335296
| 9.935431
| 9.995024
| 11.316447
| 9.593726
| 10.413223
| 10.277926
| 12.351741
| 9.730093
| 9.446552
| 10.131081
| 9.567106
| 9.622223
| 9.117556
| 9.398499
| 9.141244
| 9.897339
| 10.573358
| 9.17242
|
hep-th/0503051
|
Tsunehiro Kobayashi
|
Tsunehiro Kobayashi
|
Interacting gauge fields and the zero-energy eigenstates in two
dimensions
|
6pages,6figures
| null | null | null |
hep-th
| null |
Gauge fields are formulated in terms of the zero-energy eigenstates of
2-dimensional Schr$\ddot {\rm o}$dinger equations with central potentials
$V_a(\rho)=-a^2g_a\rho^{2(a-1)}$ ($a\not=0$, $g_a>0$ and
$\rho=\sqrt{x^2+y^2}$). It is shown that the zero-energy states can naturally
be interpreted as a kind of interacting gauge fields of which effects are
solved as the factors $e^{ig_c\chi_A}$, where $\chi_A$ are complex gauge
functions written by the zero-energy eigenfunctions. We see that the gauge
fields for $a=1$ are nothing but tachyons that have negative squared-mass
$m^2=-g_1$. We also find out U(1)-type gauge fields for $a=1/2$ and SU(3)-type
gauge fields for $a=3/2$. Massive particles with internal structures described
by the zero-energy states are also studied.
|
[
{
"created": "Mon, 7 Mar 2005 02:27:48 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Kobayashi",
"Tsunehiro",
""
]
] |
Gauge fields are formulated in terms of the zero-energy eigenstates of 2-dimensional Schr$\ddot {\rm o}$dinger equations with central potentials $V_a(\rho)=-a^2g_a\rho^{2(a-1)}$ ($a\not=0$, $g_a>0$ and $\rho=\sqrt{x^2+y^2}$). It is shown that the zero-energy states can naturally be interpreted as a kind of interacting gauge fields of which effects are solved as the factors $e^{ig_c\chi_A}$, where $\chi_A$ are complex gauge functions written by the zero-energy eigenfunctions. We see that the gauge fields for $a=1$ are nothing but tachyons that have negative squared-mass $m^2=-g_1$. We also find out U(1)-type gauge fields for $a=1/2$ and SU(3)-type gauge fields for $a=3/2$. Massive particles with internal structures described by the zero-energy states are also studied.
| 7.431633
| 6.140338
| 7.260199
| 6.785658
| 6.332986
| 6.268621
| 6.097085
| 6.698583
| 6.824739
| 7.701235
| 6.909129
| 6.720415
| 6.883103
| 6.680624
| 6.828569
| 6.601466
| 6.781421
| 6.634384
| 6.836785
| 6.898981
| 6.753879
|
hep-th/9707003
|
Chanyong Park
|
Chanyong Park and Sang-Jin Sin
|
p-Brane cosmology and phases of Brans-Dicke theory with matter
|
26 pages, 5 figures, Contents and references added; published in
Phys. Rev. D57(1998) 4620
|
Phys.Rev. D57 (1998) 4620-4628
|
10.1103/PhysRevD.57.4620
| null |
hep-th
| null |
We study the effect of the solitonic degrees of freedom in string cosmology
following the line of Rama. The gas of solitonic p-brane is treated as a
perfect fluid in a Brans-Dicke type theory. In this paper, we find exact
cosmological solutions for any Brans-Dicke parameter $\omega$ and for general
parameter $\gamma$ of equation of state and classify the cosmology of the
solutions on a parameter space of $\gamma$ and $\omega$.
|
[
{
"created": "Tue, 1 Jul 1997 16:47:02 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Sep 1998 04:25:26 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Park",
"Chanyong",
""
],
[
"Sin",
"Sang-Jin",
""
]
] |
We study the effect of the solitonic degrees of freedom in string cosmology following the line of Rama. The gas of solitonic p-brane is treated as a perfect fluid in a Brans-Dicke type theory. In this paper, we find exact cosmological solutions for any Brans-Dicke parameter $\omega$ and for general parameter $\gamma$ of equation of state and classify the cosmology of the solutions on a parameter space of $\gamma$ and $\omega$.
| 9.507404
| 7.330599
| 9.036729
| 8.231092
| 7.312416
| 6.477345
| 6.726979
| 6.68238
| 7.084684
| 8.684951
| 7.74379
| 8.097219
| 8.707862
| 8.446966
| 8.319439
| 8.157279
| 8.183695
| 8.204127
| 8.350864
| 8.734859
| 8.431064
|
hep-th/9307096
| null |
Hitoshi Nishino
|
Self-Dual Supersymmetric Yang-Mills Theory Generates Two-Dimensional
Supersymmetric WZNW Models
|
LATEX (macros included), 13 pages, UMDEPP 93-213
|
Phys.Lett.B316:298-306,1993
|
10.1016/0370-2693(93)90328-F
| null |
hep-th
| null |
We show that recently formulated four-dimensional self-dual supersymmetric
Yang-Mills theory, which is consistent background for open $~N=2$~ superstring,
generates two-dimensional $~N=(1,1),~\, N=(1,0) $~ and $~N=(2,0)$~
supersymmetric gauged Wess-Zumino-Novikov-Witten $~\s\-$models on coset
manifolds $~G/H$, after appropriate dimensional reductions. This is supporting
evidence for the conjecture that the self-dual supersymmetric Yang-Mills theory
will generate lower-dimensional supersymmetric integrable models after
dimensional reductions.
|
[
{
"created": "Wed, 14 Jul 1993 21:17:54 GMT",
"version": "v1"
}
] |
2011-07-19
|
[
[
"Nishino",
"Hitoshi",
""
]
] |
We show that recently formulated four-dimensional self-dual supersymmetric Yang-Mills theory, which is consistent background for open $~N=2$~ superstring, generates two-dimensional $~N=(1,1),~\, N=(1,0) $~ and $~N=(2,0)$~ supersymmetric gauged Wess-Zumino-Novikov-Witten $~\s\-$models on coset manifolds $~G/H$, after appropriate dimensional reductions. This is supporting evidence for the conjecture that the self-dual supersymmetric Yang-Mills theory will generate lower-dimensional supersymmetric integrable models after dimensional reductions.
| 7.821963
| 6.708833
| 8.970296
| 6.488614
| 7.307351
| 6.033913
| 6.714329
| 6.625138
| 6.639013
| 9.48732
| 6.79608
| 7.062868
| 7.946357
| 7.221025
| 7.372125
| 7.004649
| 7.002484
| 6.766494
| 7.236142
| 8.209193
| 7.128014
|
hep-th/9604140
|
Andreas Wisskirchen
|
Ralph Blumenhagen and Andreas Wisskirchen
|
Exploring the Moduli Space of (0,2) Strings
|
19 pages, plain TeX, 2 postscript figures, epsf included
|
Nucl.Phys. B475 (1996) 225-243
|
10.1016/0550-3213(96)00298-2
|
BONN-TH-96-02, IFP-607-UNC
|
hep-th
| null |
We use an exactly solvable (0,2) supersymmetric conformal field theory with
gauge group SO(10) to investigate the superpotential of the corresponding
classical string vacuum. We provide evidence that the rational point lies in
the Landau-Ginzburg phase of the linear sigma-model and calculate exactly all
three- and four-point functions of the gauge singlets. These couplings already
put severe constraints on the possible flat directions of the superpotential.
Finally, we contemplate about the flat direction related to Kahler deformations
of the underlying linear sigma-model.
|
[
{
"created": "Tue, 23 Apr 1996 06:12:28 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Blumenhagen",
"Ralph",
""
],
[
"Wisskirchen",
"Andreas",
""
]
] |
We use an exactly solvable (0,2) supersymmetric conformal field theory with gauge group SO(10) to investigate the superpotential of the corresponding classical string vacuum. We provide evidence that the rational point lies in the Landau-Ginzburg phase of the linear sigma-model and calculate exactly all three- and four-point functions of the gauge singlets. These couplings already put severe constraints on the possible flat directions of the superpotential. Finally, we contemplate about the flat direction related to Kahler deformations of the underlying linear sigma-model.
| 12.650864
| 11.955497
| 14.714304
| 10.85249
| 11.753473
| 12.436535
| 12.94004
| 9.80353
| 11.288726
| 13.893917
| 11.13376
| 11.874606
| 12.763781
| 11.075134
| 11.751576
| 12.011557
| 11.287856
| 12.118701
| 12.030478
| 12.961503
| 11.546571
|
hep-th/9910032
|
Kazuya Yuasa
|
Kazuya Yuasa and Hiromichi Nakazato (Waseda Univ.)
|
Stochastic Quantization of Bottomless Systems: Stationary quantities in
a diffusive process
|
LaTeX2e, 10 pages with 4 eps figures, to be published in Prog. Theor.
Phys. 102; revised page layout
|
Prog.Theor.Phys. 102 (1999) 719
|
10.1143/PTP.102.719
|
WU-HEP-99-2
|
hep-th quant-ph
| null |
By making use of the Langevin equation with a kernel, it was shown that the
Feynman measure exp(-S) can be realized in a restricted sense in a diffusive
stochastic process, which diverges and has no equilibrium, for bottomless
systems. In this paper, the dependence on the initial conditions and the
temporal behavior are analyzed for 0-dim bottomless systems. Furthermore, it is
shown that it is possible to find stationary quantities.
|
[
{
"created": "Tue, 5 Oct 1999 04:29:29 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Oct 1999 07:42:09 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Yuasa",
"Kazuya",
"",
"Waseda Univ."
],
[
"Nakazato",
"Hiromichi",
"",
"Waseda Univ."
]
] |
By making use of the Langevin equation with a kernel, it was shown that the Feynman measure exp(-S) can be realized in a restricted sense in a diffusive stochastic process, which diverges and has no equilibrium, for bottomless systems. In this paper, the dependence on the initial conditions and the temporal behavior are analyzed for 0-dim bottomless systems. Furthermore, it is shown that it is possible to find stationary quantities.
| 18.597414
| 18.955826
| 17.589371
| 17.658895
| 15.780594
| 16.621529
| 18.287832
| 16.478764
| 16.506636
| 18.212223
| 15.863965
| 16.82724
| 17.729015
| 17.071562
| 17.361307
| 16.632557
| 16.973263
| 16.693964
| 16.627045
| 16.868135
| 16.539368
|
hep-th/0004071
|
Jesper M. Grimstrup
|
A. A. Bichl, J. M. Grimstrup, V. Putz, M. Schweda
|
Perturbative Chern-Simons Theory on Noncommutative R^3
|
10 pages, 3 figures. Added loop calculation, conclusions unchanged,
some references added
|
JHEP 0007 (2000) 046
|
10.1088/1126-6708/2000/07/046
|
REF. TUW 00-11
|
hep-th
| null |
A U(N) Chern-Simons theory on noncommutative $\mathbb{R}^{3}$ is constructed
as a $\q$-deformed field theory. The model is characterized by two symmetries:
the BRST-symmetry and the topological linear vector supersymmetry. It is shown
that the theory is finite and $\q_{\m\n}$-independent at the one loop level and
that the calculations respect the restriction of the topological supersymmetry.
Thus the topological $\q$-deformed Chern-Simons theory is an example of a model
which is non-singular in the limit $\q \to 0$.
|
[
{
"created": "Tue, 11 Apr 2000 14:29:16 GMT",
"version": "v1"
},
{
"created": "Thu, 11 May 2000 15:17:21 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Bichl",
"A. A.",
""
],
[
"Grimstrup",
"J. M.",
""
],
[
"Putz",
"V.",
""
],
[
"Schweda",
"M.",
""
]
] |
A U(N) Chern-Simons theory on noncommutative $\mathbb{R}^{3}$ is constructed as a $\q$-deformed field theory. The model is characterized by two symmetries: the BRST-symmetry and the topological linear vector supersymmetry. It is shown that the theory is finite and $\q_{\m\n}$-independent at the one loop level and that the calculations respect the restriction of the topological supersymmetry. Thus the topological $\q$-deformed Chern-Simons theory is an example of a model which is non-singular in the limit $\q \to 0$.
| 7.869806
| 7.289559
| 7.469167
| 6.975621
| 7.368773
| 7.014816
| 7.010662
| 6.766705
| 6.867914
| 8.03158
| 7.05952
| 6.744056
| 7.543474
| 7.075502
| 7.168311
| 7.110084
| 7.237925
| 7.088024
| 7.121188
| 7.571685
| 7.075721
|
1012.0809
|
Andrew Koshelkin V.
|
A.V.Koshelkin
|
The Dirac and Gauge Yang-Mills Fields in Self-Consistent Consideration
| null | null | null | null |
hep-th nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The quasi-classical model in a gauge theory with the Yang-Mills (YM) field is
developed. On a basis of the exact solution of the Dirac equation in the SU(N)
gauge field, which is in the eikonal approximation, the Yang-Mills (YM)
equations containing the external fermion current are solved. The derived
solutions are quantized in the quasi-classical approach. The developed model
proves to have the self-consistent solutions of the Dirac and Yang-Mills
equations at $N\geq 3$. Thereat the solutions take place provided that the
fermion and gauge fields exist simultaneously, so that the fermion current
completely compensates the current generated by the gauge field due to it
self-interaction. The obtained solution are considered in the context of QCD.
|
[
{
"created": "Fri, 3 Dec 2010 18:34:54 GMT",
"version": "v1"
}
] |
2010-12-06
|
[
[
"Koshelkin",
"A. V.",
""
]
] |
The quasi-classical model in a gauge theory with the Yang-Mills (YM) field is developed. On a basis of the exact solution of the Dirac equation in the SU(N) gauge field, which is in the eikonal approximation, the Yang-Mills (YM) equations containing the external fermion current are solved. The derived solutions are quantized in the quasi-classical approach. The developed model proves to have the self-consistent solutions of the Dirac and Yang-Mills equations at $N\geq 3$. Thereat the solutions take place provided that the fermion and gauge fields exist simultaneously, so that the fermion current completely compensates the current generated by the gauge field due to it self-interaction. The obtained solution are considered in the context of QCD.
| 9.006034
| 8.83197
| 8.761525
| 8.71423
| 8.751008
| 8.638505
| 7.777039
| 8.145554
| 8.7448
| 9.947306
| 8.861744
| 8.619882
| 8.579214
| 8.749086
| 8.798538
| 8.576616
| 8.505993
| 8.365953
| 8.69124
| 8.885592
| 8.453494
|
hep-th/0211050
|
Xingang Chen
|
Xingang Chen
|
Massless monopole clouds and electric-magnetic duality
|
13 pages, 2 figures; v3: PLB version, Sec.II expanded, fig.2 and
references added
|
Phys.Lett. B599 (2004) 339-346
|
10.1016/j.physletb.2004.08.042
|
CU-TP-1077
|
hep-th
| null |
We discuss the Montonen-Olive electric-magnetic duality for the BPS massless
monopole clouds in N=4 supersymmetric Yang-Mills theory with non-Abelian
unbroken gauge symmetries. We argue that these low energy non-Abelian clouds
can be identified as the duals of the infrared bremsstrahlung radiation of the
non-Abelian massless particles. After we break the N=4 supersymmetry to N=1 by
adding a superpotential, or to N=0 by further adding soft breaking terms, these
non-Abelian clouds will generally condense and screen the non-Abelian charges
of the massive monopole probes. The effective mass of these dual non-Abelian
states is likely to persist as we lower the energy to the QCD scale, if all the
non-Abelian Higgs particles are massive. This can be regarded as a
manifestation of the non-Abelian dual Meissner effect above the QCD scale, and
we expect it to continuously connect with the confinement as we lower the
supersymmetry breaking scale to the QCD scale.
|
[
{
"created": "Thu, 7 Nov 2002 17:12:56 GMT",
"version": "v1"
},
{
"created": "Sun, 10 Nov 2002 23:01:04 GMT",
"version": "v2"
},
{
"created": "Tue, 31 Aug 2004 18:58:34 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Chen",
"Xingang",
""
]
] |
We discuss the Montonen-Olive electric-magnetic duality for the BPS massless monopole clouds in N=4 supersymmetric Yang-Mills theory with non-Abelian unbroken gauge symmetries. We argue that these low energy non-Abelian clouds can be identified as the duals of the infrared bremsstrahlung radiation of the non-Abelian massless particles. After we break the N=4 supersymmetry to N=1 by adding a superpotential, or to N=0 by further adding soft breaking terms, these non-Abelian clouds will generally condense and screen the non-Abelian charges of the massive monopole probes. The effective mass of these dual non-Abelian states is likely to persist as we lower the energy to the QCD scale, if all the non-Abelian Higgs particles are massive. This can be regarded as a manifestation of the non-Abelian dual Meissner effect above the QCD scale, and we expect it to continuously connect with the confinement as we lower the supersymmetry breaking scale to the QCD scale.
| 7.465415
| 6.85203
| 7.716207
| 7.000546
| 7.701692
| 7.226308
| 7.119895
| 7.424368
| 6.94664
| 7.686835
| 6.625607
| 6.958928
| 7.257161
| 6.898047
| 6.897628
| 6.833869
| 6.742206
| 6.832152
| 6.998638
| 7.229068
| 6.766211
|
1504.05269
|
Jorma Louko
|
Eric G. Brown, Jorma Louko
|
Smooth and sharp creation of a Dirichlet wall in 1+1 quantum field
theory: how singular is the sharp creation limit?
|
30 pages, 2 figures. v4: post-publication note added
|
JHEP 1508 (2015) 061
|
10.1007/JHEP08(2015)061
| null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present and utilize a simple formalism for the smooth creation of boundary
conditions within relativistic quantum field theory. We consider a massless
scalar field in $(1+1)$-dimensional flat spacetime and imagine smoothly
transitioning from there being no boundary condition to there being a two-sided
Dirichlet mirror. The act of doing this, expectantly, generates a flux of real
quanta that emanates from the mirror as it is being created. We show that the
local stress-energy tensor of the flux is finite only if an infrared cutoff is
introduced, no matter how slowly the mirror is created, in agreement with the
perturbative results of Obadia and Parentani. In the limit of instantaneous
mirror creation the total energy injected into the field becomes ultraviolet
divergent, but the response of an Unruh-DeWitt particle detector passing
through the infinite burst of energy nevertheless remains finite. Implications
for vacuum entanglement extraction and for black hole firewalls are discussed.
|
[
{
"created": "Tue, 21 Apr 2015 01:03:01 GMT",
"version": "v1"
},
{
"created": "Tue, 5 May 2015 21:20:33 GMT",
"version": "v2"
},
{
"created": "Fri, 21 Aug 2015 16:08:06 GMT",
"version": "v3"
},
{
"created": "Mon, 9 Jan 2017 18:38:04 GMT",
"version": "v4"
}
] |
2017-01-10
|
[
[
"Brown",
"Eric G.",
""
],
[
"Louko",
"Jorma",
""
]
] |
We present and utilize a simple formalism for the smooth creation of boundary conditions within relativistic quantum field theory. We consider a massless scalar field in $(1+1)$-dimensional flat spacetime and imagine smoothly transitioning from there being no boundary condition to there being a two-sided Dirichlet mirror. The act of doing this, expectantly, generates a flux of real quanta that emanates from the mirror as it is being created. We show that the local stress-energy tensor of the flux is finite only if an infrared cutoff is introduced, no matter how slowly the mirror is created, in agreement with the perturbative results of Obadia and Parentani. In the limit of instantaneous mirror creation the total energy injected into the field becomes ultraviolet divergent, but the response of an Unruh-DeWitt particle detector passing through the infinite burst of energy nevertheless remains finite. Implications for vacuum entanglement extraction and for black hole firewalls are discussed.
| 10.389578
| 11.198796
| 10.552931
| 10.080154
| 11.308657
| 11.395809
| 11.155431
| 10.457036
| 10.310269
| 12.332403
| 10.403386
| 9.905498
| 10.067418
| 9.976548
| 10.378813
| 9.965826
| 10.58571
| 9.848744
| 9.986124
| 10.047383
| 10.075997
|
hep-th/9904207
|
Ashoke Sen
|
Ashoke Sen
|
Non-BPS States and Branes in String Theory
|
LaTeX file, epsf, 53 pages, 17 figures, APCTP winter school lectures
| null |
10.1088/0264-9381/17/5/334
|
MRI-PHY/P990411
|
hep-th
| null |
We review the recent developments in our understanding of non-BPS states and
branes in string theory. The topics include 1) construction of unstable non-BPS
D-branes in type IIA and type IIB string theories, 2) construction of stable
non-BPS D-branes on various orbifolds and orientifolds of type II string
theories, 3) description of BPS and non-BPS D-branes as tachyonic soliton
solutions on brane-antibrane pair of higher dimension, and 4) study of the
spectrum of non-BPS states and branes on a system of coincident D-brane -
orientifold plane system. Some other related results are also discussed
briefly.
|
[
{
"created": "Thu, 29 Apr 1999 13:54:52 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Sen",
"Ashoke",
""
]
] |
We review the recent developments in our understanding of non-BPS states and branes in string theory. The topics include 1) construction of unstable non-BPS D-branes in type IIA and type IIB string theories, 2) construction of stable non-BPS D-branes on various orbifolds and orientifolds of type II string theories, 3) description of BPS and non-BPS D-branes as tachyonic soliton solutions on brane-antibrane pair of higher dimension, and 4) study of the spectrum of non-BPS states and branes on a system of coincident D-brane - orientifold plane system. Some other related results are also discussed briefly.
| 5.163099
| 4.932458
| 5.431489
| 4.728652
| 4.839482
| 4.764891
| 4.802307
| 4.799685
| 4.78415
| 5.743571
| 4.719109
| 4.918211
| 5.441467
| 4.831165
| 5.19162
| 5.018043
| 4.92517
| 5.016503
| 4.811725
| 5.042257
| 4.882544
|
1201.5372
|
Nikos Irges
|
Nikos Irges
|
Lattice Gauge Theory - Gravity duality and Coulomb's constant in five
dimensions
|
Version to appear in PRD. Slightly expanded, abstract changed. Typos
corrected
| null |
10.1103/PhysRevD.85.066007
|
NSF-KITP-12-009
|
hep-th hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The purpose of this paper is to perform a quantitative check of gauge theory
- gravity duality in a nonconformal, nonsupersymmetric context. In order to do
so we define k5, an object extracted from the Wilson Loop, that plays the role
of Coulomb's constant for SU(N) gauge theories in five dimensions and we argue
that one of its virtues is that it could be minimally sensitive to N. This
allows us to compute k5 on one hand from the gravitational backreation of a
large number N of D4-branes, and on the other from a lattice mean-field
expansion for N=2. We find a 2% numerical agreement between the two approaches.
|
[
{
"created": "Wed, 25 Jan 2012 20:59:59 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Mar 2012 09:14:37 GMT",
"version": "v2"
}
] |
2013-05-30
|
[
[
"Irges",
"Nikos",
""
]
] |
The purpose of this paper is to perform a quantitative check of gauge theory - gravity duality in a nonconformal, nonsupersymmetric context. In order to do so we define k5, an object extracted from the Wilson Loop, that plays the role of Coulomb's constant for SU(N) gauge theories in five dimensions and we argue that one of its virtues is that it could be minimally sensitive to N. This allows us to compute k5 on one hand from the gravitational backreation of a large number N of D4-branes, and on the other from a lattice mean-field expansion for N=2. We find a 2% numerical agreement between the two approaches.
| 12.358793
| 12.659162
| 13.262395
| 11.987753
| 11.709301
| 12.5059
| 13.258307
| 11.600568
| 12.232838
| 12.772692
| 11.154625
| 11.870268
| 12.304514
| 11.849659
| 11.876781
| 12.266485
| 11.86443
| 11.643956
| 12.168938
| 12.194019
| 11.74546
|
1605.05311
|
Matthew Reece
|
Ben Heidenreich, Matthew Reece, and Tom Rudelius
|
Axion Experiments to Algebraic Geometry: Testing Quantum Gravity via the
Weak Gravity Conjecture
|
Awarded fifth place in the 2016 Gravity Research Foundation Essay
Contest; slightly revised for arxiv
| null |
10.1142/S0218271816430057
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Common features of known quantum gravity theories may hint at the general
nature of quantum gravity. The absence of continuous global symmetries is one
such feature. This inspired the Weak Gravity Conjecture, which bounds masses of
charged particles. We propose the Lattice Weak Gravity Conjecture, which
further requires the existence of an infinite tower of particles of all
possible charges under both abelian and nonabelian gauge groups and directly
implies a cutoff for quantum field theory. It holds in a wide variety of string
theory examples and has testable consequences for the real world and for pure
mathematics. We sketch some implications of these ideas for models of
inflation, for the QCD axion (and LIGO), for conformal field theory, and for
algebraic geometry.
|
[
{
"created": "Tue, 17 May 2016 19:57:48 GMT",
"version": "v1"
}
] |
2016-11-15
|
[
[
"Heidenreich",
"Ben",
""
],
[
"Reece",
"Matthew",
""
],
[
"Rudelius",
"Tom",
""
]
] |
Common features of known quantum gravity theories may hint at the general nature of quantum gravity. The absence of continuous global symmetries is one such feature. This inspired the Weak Gravity Conjecture, which bounds masses of charged particles. We propose the Lattice Weak Gravity Conjecture, which further requires the existence of an infinite tower of particles of all possible charges under both abelian and nonabelian gauge groups and directly implies a cutoff for quantum field theory. It holds in a wide variety of string theory examples and has testable consequences for the real world and for pure mathematics. We sketch some implications of these ideas for models of inflation, for the QCD axion (and LIGO), for conformal field theory, and for algebraic geometry.
| 9.712414
| 9.689846
| 11.145306
| 9.443496
| 9.582933
| 10.244918
| 9.633941
| 9.743713
| 9.226328
| 12.240218
| 9.554294
| 8.777951
| 9.687143
| 8.947729
| 8.918436
| 8.879268
| 8.851422
| 9.034353
| 9.271909
| 9.528326
| 9.332371
|
hep-th/0405170
|
Stefan Theisen
|
J. Hoppe, S. Theisen
|
Spinning membranes on $AdS_p\times S^q$
|
9 pages, harvmac
| null | null | null |
hep-th
| null |
Minimal Surfaces in $S^3$ are shown to yield spinning membrane solutions in
$AdS_4\times S^7$.
|
[
{
"created": "Wed, 19 May 2004 18:02:36 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Hoppe",
"J.",
""
],
[
"Theisen",
"S.",
""
]
] |
Minimal Surfaces in $S^3$ are shown to yield spinning membrane solutions in $AdS_4\times S^7$.
| 12.884989
| 6.461071
| 11.326477
| 7.597393
| 7.567802
| 8.270532
| 7.242643
| 6.817976
| 6.979938
| 11.501001
| 6.948581
| 8.813865
| 14.061205
| 9.558789
| 7.364952
| 8.272722
| 8.567406
| 7.710458
| 9.102936
| 13.448218
| 7.321987
|
1412.4407
|
Johannes Schmude
|
Diego Rodriguez-Gomez and Johannes Schmude
|
Partition functions for equivariantly twisted $\mathcal{N}=2$ gauge
theories on toric K\"ahler manifolds
|
22 pages plus appendices
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider $\mathcal{N}=2$ supersymmetric pure gauge theories on toric
K\"ahler manifolds, with particular emphasis on $\mathbb{CP}^2$. By choosing a
vector generating a $U(1)$ action inside the torus of the manifold, we
construct equivariantly twisted theories. Then, using localization, we compute
their supersymmetric partition functions. As expected, these receive
contributions from a classical, a one-loop, and an instanton term. It turns out
that the one-loop term is trivial and that the instanton contributions are
localized at the fixed points of the $U(1)$. In fact the full partition
function can be re-written in a factorized form with contributions from each of
the fixed points. The full significance of this is yet to be understood.
|
[
{
"created": "Sun, 14 Dec 2014 20:53:11 GMT",
"version": "v1"
}
] |
2014-12-16
|
[
[
"Rodriguez-Gomez",
"Diego",
""
],
[
"Schmude",
"Johannes",
""
]
] |
We consider $\mathcal{N}=2$ supersymmetric pure gauge theories on toric K\"ahler manifolds, with particular emphasis on $\mathbb{CP}^2$. By choosing a vector generating a $U(1)$ action inside the torus of the manifold, we construct equivariantly twisted theories. Then, using localization, we compute their supersymmetric partition functions. As expected, these receive contributions from a classical, a one-loop, and an instanton term. It turns out that the one-loop term is trivial and that the instanton contributions are localized at the fixed points of the $U(1)$. In fact the full partition function can be re-written in a factorized form with contributions from each of the fixed points. The full significance of this is yet to be understood.
| 6.576418
| 5.876921
| 6.631017
| 5.799044
| 6.011215
| 6.320549
| 5.967028
| 6.284531
| 5.92655
| 7.377858
| 5.855148
| 5.989817
| 6.542617
| 6.119173
| 6.070437
| 6.110919
| 6.135065
| 5.928732
| 6.135858
| 6.323956
| 5.933257
|
1805.10989
|
Mikhail Shifman
|
M. Shifman, A. Yung
|
Hadrons of N=2 Supersymmetric QCD in Four Dimensions from Little String
Theory
|
43 pp, 2 figures. arXiv admin note: substantial text overlap with
arXiv:1704.00825 V.2: an explanatory remark added. V.3: A remark added in
Sec. 3.1; References 26 and 27 added. The final version accepted for
publication in PRD
|
Phys. Rev. D 98, 085013 (2018)
|
10.1103/PhysRevD.98.085013
|
FTPI-MINN-18/09, UMN-TH-3718/18
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It was recently shown that non-Abelian vortex strings supported in a version
of four-dimensional N=2 supersymmetric QCD (SQCD) become critical superstrings.
In addition to four translational moduli, non-Abelian strings under
consideration have six orientational and size moduli. Together they form a
ten-dimensional target space required for a superstring to be critical, namely,
the product of the flat four-dimensional space and conifold -- a non-compact
Calabi-Yau threefold. In this paper we report on further studies of low-lying
closed string states which emerge in four dimensions and identify them as
hadrons of our four-dimensional N=2 SQCD. We use the approach based on "little
string theory," describing critical string on the conifold as a non-critical
$c=1$ string with the Liouville field and a compact scalar at the self-dual
radius. In addition to massless hypermultiplet found earlier we observe several
massive vector multiplets and a massive spin-2 multiplet, all belonging to the
long (non-BPS) representations of N=2 supersymmetry in four dimensions. All the
above states are interpreted as baryons formed by a closed string with confined
monopoles attached. Our construction presents an example of a "reverse
holography."
|
[
{
"created": "Thu, 24 May 2018 18:19:08 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Oct 2018 18:55:19 GMT",
"version": "v2"
},
{
"created": "Thu, 4 Oct 2018 19:46:17 GMT",
"version": "v3"
}
] |
2018-10-24
|
[
[
"Shifman",
"M.",
""
],
[
"Yung",
"A.",
""
]
] |
It was recently shown that non-Abelian vortex strings supported in a version of four-dimensional N=2 supersymmetric QCD (SQCD) become critical superstrings. In addition to four translational moduli, non-Abelian strings under consideration have six orientational and size moduli. Together they form a ten-dimensional target space required for a superstring to be critical, namely, the product of the flat four-dimensional space and conifold -- a non-compact Calabi-Yau threefold. In this paper we report on further studies of low-lying closed string states which emerge in four dimensions and identify them as hadrons of our four-dimensional N=2 SQCD. We use the approach based on "little string theory," describing critical string on the conifold as a non-critical $c=1$ string with the Liouville field and a compact scalar at the self-dual radius. In addition to massless hypermultiplet found earlier we observe several massive vector multiplets and a massive spin-2 multiplet, all belonging to the long (non-BPS) representations of N=2 supersymmetry in four dimensions. All the above states are interpreted as baryons formed by a closed string with confined monopoles attached. Our construction presents an example of a "reverse holography."
| 8.160216
| 6.32044
| 9.781153
| 6.867407
| 6.8681
| 6.413254
| 6.325315
| 6.907697
| 6.893986
| 9.949939
| 7.001654
| 7.821142
| 8.769616
| 7.623867
| 7.721891
| 7.524016
| 7.69087
| 7.573045
| 7.819632
| 8.529725
| 7.957955
|
1211.3878
|
Hiroyuki Kitamoto
|
Hiroyuki Kitamoto, Yoshihisa Kitazawa
|
Scheme dependence of quantum gravity on de Sitter background
|
20 pages, 3 figures
|
Nucl.Phys. B873 (2013) 325-342
|
10.1016/j.nuclphysb.2013.04.019
|
KEK-TH-1591
|
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We extend our investigation of the IR effects on the local dynamics of matter
fields in quantum gravity. Specifically we clarify how the IR effects depend on
the change of the quantization scheme: different parametrization of the metric
and the matter field redefinition. Conformal invariance implies effective
Lorentz invariance of the matter system in de Sitter space. An arbitrary choice
of the parametrization of the metric and the matter field redefinition does not
preserve the effective Lorentz invariance of the local dynamics. As for the
effect of different parametrization of the metric alone, the effective Lorentz
symmetry breaking term can be eliminated by shifting the background metric. In
contrast, we cannot compensate the matter field redefinition dependence by such
a way. The effective Lorentz invariance can be retained only when we adopt the
specific matter field redefinitions where all dimensionless couplings become
scale invariant at the classical level. This scheme is also singled out by
unitarity as the kinetic terms are canonically normalized.
|
[
{
"created": "Fri, 16 Nov 2012 12:40:48 GMT",
"version": "v1"
},
{
"created": "Thu, 16 May 2013 09:12:33 GMT",
"version": "v2"
}
] |
2013-05-17
|
[
[
"Kitamoto",
"Hiroyuki",
""
],
[
"Kitazawa",
"Yoshihisa",
""
]
] |
We extend our investigation of the IR effects on the local dynamics of matter fields in quantum gravity. Specifically we clarify how the IR effects depend on the change of the quantization scheme: different parametrization of the metric and the matter field redefinition. Conformal invariance implies effective Lorentz invariance of the matter system in de Sitter space. An arbitrary choice of the parametrization of the metric and the matter field redefinition does not preserve the effective Lorentz invariance of the local dynamics. As for the effect of different parametrization of the metric alone, the effective Lorentz symmetry breaking term can be eliminated by shifting the background metric. In contrast, we cannot compensate the matter field redefinition dependence by such a way. The effective Lorentz invariance can be retained only when we adopt the specific matter field redefinitions where all dimensionless couplings become scale invariant at the classical level. This scheme is also singled out by unitarity as the kinetic terms are canonically normalized.
| 8.543545
| 8.422173
| 8.988956
| 8.037413
| 8.437829
| 8.531563
| 8.472536
| 8.291663
| 8.31624
| 9.489243
| 7.941493
| 8.046265
| 8.399924
| 8.312177
| 8.29277
| 8.498497
| 8.155408
| 8.421608
| 8.136239
| 8.338873
| 8.119821
|
1804.06677
|
Suresh Govindarajan
|
Suresh Govindarajan and Sutapa Samanta
|
Two moonshines for $L_2(11)$ but none for $M_{12}$
|
22 pages (v2) Minor changes; (v3) 41 pages, Major revision includes
new results; (v4) Final version
| null |
10.1016/j.nuclphysb.2019.01.004
| null |
hep-th math.GR math.NT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we revisit an earlier conjecture by one of us that related
conjugacy classes of $M_{12}$ to Jacobi forms of weight one and index zero. We
construct Jacobi forms for all conjugacy classes of $M_{12}$ that are
consistent with constraints from group theory as well as modularity. However,
we obtain 1427 solutions that satisfy these constraints (to the order that we
checked) and are unable to provide a unique Jacobi form. Nevertheless, as a
consequence, we are able to provide a group theoretic proof of the evenness of
the coefficients of all EOT Jacobi forms associated with conjugacy classes of
$M_{12}:2 \subset M_{24}$. We show that there exists no solution where the
Jacobi forms (for order 4/8 elements of $M_{12}$) transform with phases under
the appropriate level. In the absence of a moonshine for $M_{12}$, we show that
there exist moonshines for two distinct $L_2(11)$ sub-groups of the $M_{12}$.
We construct Siegel modular forms for all $L_2(11)$ conjugacy classes and show
that each of them arises as the denominator formula for a distinct
Borcherds-Kac-Moody Lie superalgebra.
|
[
{
"created": "Wed, 18 Apr 2018 12:23:48 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Apr 2018 09:44:29 GMT",
"version": "v2"
},
{
"created": "Mon, 29 Oct 2018 06:58:09 GMT",
"version": "v3"
},
{
"created": "Wed, 9 Jan 2019 01:13:08 GMT",
"version": "v4"
}
] |
2019-01-16
|
[
[
"Govindarajan",
"Suresh",
""
],
[
"Samanta",
"Sutapa",
""
]
] |
In this paper, we revisit an earlier conjecture by one of us that related conjugacy classes of $M_{12}$ to Jacobi forms of weight one and index zero. We construct Jacobi forms for all conjugacy classes of $M_{12}$ that are consistent with constraints from group theory as well as modularity. However, we obtain 1427 solutions that satisfy these constraints (to the order that we checked) and are unable to provide a unique Jacobi form. Nevertheless, as a consequence, we are able to provide a group theoretic proof of the evenness of the coefficients of all EOT Jacobi forms associated with conjugacy classes of $M_{12}:2 \subset M_{24}$. We show that there exists no solution where the Jacobi forms (for order 4/8 elements of $M_{12}$) transform with phases under the appropriate level. In the absence of a moonshine for $M_{12}$, we show that there exist moonshines for two distinct $L_2(11)$ sub-groups of the $M_{12}$. We construct Siegel modular forms for all $L_2(11)$ conjugacy classes and show that each of them arises as the denominator formula for a distinct Borcherds-Kac-Moody Lie superalgebra.
| 8.633382
| 8.749558
| 10.220342
| 8.066916
| 10.029758
| 8.410789
| 8.803077
| 9.172345
| 8.651758
| 10.23966
| 8.392334
| 8.552131
| 8.372031
| 8.35447
| 8.291698
| 8.34865
| 8.28277
| 8.467816
| 7.914587
| 8.300582
| 8.093805
|
0705.3494
|
Hiroshi Umetsu
|
Satoshi Iso, Takeshi Morita, Hiroshi Umetsu
|
Fluxes of Higher-spin Currents and Hawking Radiations from Charged Black
Holes
|
15 pages
|
Phys.Rev.D76:064015,2007
|
10.1103/PhysRevD.76.064015
|
KEK-TH-1152, OIQP-07-07, YITP-07-29
|
hep-th gr-qc
| null |
This is an extended version of the previous paper (hep-th/0701272). Quantum
fields near horizons can be described in terms of an infinite set of
two-dimensional conformal fields. We first generalize the method of Christensen
and Fulling to charged black holes to derive fluxes of energy and charge. These
fluxes can be obtained by employing a conformal field theory technique. We then
apply this technique to obtain the fluxes of higher-spin currents and show that
the thermal distribution of Hawking radiation from a charged black hole can be
completely reproduced by investigating transformation properties of the
higher-spin currents under conformal and gauge transformations.
|
[
{
"created": "Thu, 24 May 2007 09:10:14 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Iso",
"Satoshi",
""
],
[
"Morita",
"Takeshi",
""
],
[
"Umetsu",
"Hiroshi",
""
]
] |
This is an extended version of the previous paper (hep-th/0701272). Quantum fields near horizons can be described in terms of an infinite set of two-dimensional conformal fields. We first generalize the method of Christensen and Fulling to charged black holes to derive fluxes of energy and charge. These fluxes can be obtained by employing a conformal field theory technique. We then apply this technique to obtain the fluxes of higher-spin currents and show that the thermal distribution of Hawking radiation from a charged black hole can be completely reproduced by investigating transformation properties of the higher-spin currents under conformal and gauge transformations.
| 9.518981
| 7.698489
| 8.841352
| 7.881011
| 7.631257
| 7.693103
| 7.670686
| 7.582689
| 7.41968
| 9.746224
| 7.899477
| 7.937062
| 8.776535
| 8.406751
| 8.216632
| 7.957869
| 8.097768
| 8.053719
| 8.07163
| 8.940818
| 8.374836
|
1506.05208
|
Yu Nakayama
|
Yu Nakayama
|
Strong gauging or decoupling ghost matter
|
24 pages, 3 figures
| null |
10.1142/S0217751X15501559
|
CALT-TH 2015-031
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Gauging extra matter is a common way to couple two CFTs discontinuously. We
may consider gauging matter by strongly coupled gauge theories at criticality
rather than by weakly coupled (asymptotic free) gauge theories. It often
triggers relevant deformations and possibly leads to a non-trivial fixed point.
In many examples such as the IR limit of SQCDs (and their variants), the
relevant RG flow induced by this strong gauging makes the total central charge
$a$ increase rather than decrease compared with the sum of the original
decoupled CFTs. The dilaton effective field theory argument given by
Komargodski and Schwimmer does not apply because strong gauging is not a simple
deformation by operators in the original two decoupled CFTs and it may not be
UV complete. When the added matter is vector-like, one may emulate strong
gauging in a UV completed manner by decoupling of ghost matter. While the UV
completed description makes the dilaton effective field theory argument
possible, due to the non-unitarity, we cannot conclude the positivity of the
central charge difference in accordance with the observations in various
examples that show the contrary.
|
[
{
"created": "Wed, 17 Jun 2015 05:16:31 GMT",
"version": "v1"
}
] |
2015-09-30
|
[
[
"Nakayama",
"Yu",
""
]
] |
Gauging extra matter is a common way to couple two CFTs discontinuously. We may consider gauging matter by strongly coupled gauge theories at criticality rather than by weakly coupled (asymptotic free) gauge theories. It often triggers relevant deformations and possibly leads to a non-trivial fixed point. In many examples such as the IR limit of SQCDs (and their variants), the relevant RG flow induced by this strong gauging makes the total central charge $a$ increase rather than decrease compared with the sum of the original decoupled CFTs. The dilaton effective field theory argument given by Komargodski and Schwimmer does not apply because strong gauging is not a simple deformation by operators in the original two decoupled CFTs and it may not be UV complete. When the added matter is vector-like, one may emulate strong gauging in a UV completed manner by decoupling of ghost matter. While the UV completed description makes the dilaton effective field theory argument possible, due to the non-unitarity, we cannot conclude the positivity of the central charge difference in accordance with the observations in various examples that show the contrary.
| 12.961123
| 13.366798
| 14.463231
| 12.073893
| 13.153446
| 12.206448
| 12.473276
| 13.337985
| 12.274534
| 14.434321
| 12.584873
| 11.835412
| 12.546809
| 11.644543
| 12.061561
| 11.824116
| 11.972141
| 12.004353
| 12.055748
| 11.949422
| 11.84161
|
2012.09773
|
Gabriele Lo Monaco
|
Sergio Benvenuti, Ivan Garozzo and Gabriele Lo Monaco
|
Sequential deconfinement in $3d$ $\mathcal{N}\!=\!2$ gauge theories
|
27 pages. v1: references added. v2: typos corrected, version for JHEP
| null |
10.1007/JHEP07(2021)191
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider $3d$ $\mathcal{N}\!=\!2$ gauge theories with fundamental matter
plus a single field in a rank-$2$ representation. Using iteratively a process
of "deconfinement" of the rank-$2$ field, we produce a sequence of Seiberg-dual
quiver theories. We detail this process in two examples with zero
superpotential: $Usp(2N)$ gauge theory with an antisymmetric field and $U(N)$
gauge theory with an adjoint field. The fully deconfined dual quiver has $N$
nodes, and can be interpreted as an Aharony dual of theories with rank-$2$
matter. All chiral ring generators of the original theory are mapped into gauge
singlet fields of the fully deconfined quiver dual.
|
[
{
"created": "Thu, 17 Dec 2020 17:32:01 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Feb 2021 08:42:57 GMT",
"version": "v2"
},
{
"created": "Tue, 15 Jun 2021 13:06:39 GMT",
"version": "v3"
}
] |
2024-07-12
|
[
[
"Benvenuti",
"Sergio",
""
],
[
"Garozzo",
"Ivan",
""
],
[
"Monaco",
"Gabriele Lo",
""
]
] |
We consider $3d$ $\mathcal{N}\!=\!2$ gauge theories with fundamental matter plus a single field in a rank-$2$ representation. Using iteratively a process of "deconfinement" of the rank-$2$ field, we produce a sequence of Seiberg-dual quiver theories. We detail this process in two examples with zero superpotential: $Usp(2N)$ gauge theory with an antisymmetric field and $U(N)$ gauge theory with an adjoint field. The fully deconfined dual quiver has $N$ nodes, and can be interpreted as an Aharony dual of theories with rank-$2$ matter. All chiral ring generators of the original theory are mapped into gauge singlet fields of the fully deconfined quiver dual.
| 7.22164
| 7.287969
| 8.330249
| 7.060107
| 7.318373
| 6.749101
| 6.590355
| 7.299857
| 6.370947
| 9.234658
| 6.880538
| 7.019848
| 7.774361
| 6.975481
| 6.985741
| 6.945602
| 6.890719
| 6.663194
| 6.956556
| 7.471185
| 6.816832
|
hep-th/9805001
|
P. Menotti
|
Pietro Menotti (Department of Physics, University of Pisa, Italy),
Giuseppe Policastro (Scuola Normale Superiore, Pisa, Italy)
|
Super Liouville action for Regge surfaces
|
18 pages, LaTeX
|
Nucl.Phys. B543 (1999) 518-532
|
10.1016/S0550-3213(98)00831-1
|
IFUP-TH 20/98
|
hep-th gr-qc hep-lat
| null |
We compute the super Liouville action for a two dimensional Regge surface by
exploiting the invariance of the theory under the superconformal group for
sphere topology and under the supermodular group for torus topology. For sphere
topology and torus topology with even spin structures, the action is completely
fixed up to a term which in the continuum limit goes over to a topological
invariant, while the overall normalization of the action can be taken from
perturbation theory. For the odd spin structure on the torus, due to the
presence of the fermionic supermodulus, the action is fixed up to a modular
invariant quadratic polynomial in the fermionic zero modes.
|
[
{
"created": "Fri, 1 May 1998 08:45:44 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Menotti",
"Pietro",
"",
"Department of Physics, University of Pisa, Italy"
],
[
"Policastro",
"Giuseppe",
"",
"Scuola Normale Superiore, Pisa, Italy"
]
] |
We compute the super Liouville action for a two dimensional Regge surface by exploiting the invariance of the theory under the superconformal group for sphere topology and under the supermodular group for torus topology. For sphere topology and torus topology with even spin structures, the action is completely fixed up to a term which in the continuum limit goes over to a topological invariant, while the overall normalization of the action can be taken from perturbation theory. For the odd spin structure on the torus, due to the presence of the fermionic supermodulus, the action is fixed up to a modular invariant quadratic polynomial in the fermionic zero modes.
| 8.137413
| 9.260098
| 8.260586
| 7.898332
| 8.634469
| 7.983557
| 8.408525
| 8.222262
| 8.179847
| 9.142748
| 8.660977
| 8.361945
| 8.609467
| 8.026713
| 8.178055
| 8.125528
| 8.171891
| 8.096099
| 8.084227
| 8.246715
| 8.13444
|
hep-th/0308040
|
Yi-Xin Chen
|
Yi-Xin Chen, Mark D. Gould and Yao-Zhong Zhang
|
Finite matrix model of quantum Hall fluids on $S^2$
|
LaTex file, 19 pages
| null | null | null |
hep-th
| null |
Based on Haldane's spherical geometrical formalism of two-dimensional quantum
Hall fluids, the relation between the noncommutative geometry of $S^2$ and the
two-dimensional quantum Hall fluids is exhibited. If the number of particles
$N$ is infinitely large, two-dimensional quantum Hall physics can be precisely
described in terms of the noncommutative U(1) Chern-Simons theory proposed by
Susskind, like in the case of plane. However, for the finite number of
particles on two-sphere, the matrix-regularized version of noncommutative U(1)
Chern-Simons theory involves in spinor oscillators. We establish explicitly
such a finite matrix model on two-sphere as an effective description of
fractional quantum Hall fluids of finite extent. The complete sets of physical
quantum states of this matrix model are determined, and the properties of
quantum Hall fluids related to them are discussed. We also describe how the
low-lying excitations are constructed in terms of quasiparticle and quasihole
excitations in the matrix model. It is shown that there consistently exists a
Haldane's hierarchical structure of two-dimensional quantum Hall fluid states
in the matrix model. These hierarchical fluid states are generated by the
parent fluid state for particles by condensing the quasiparticle and quasihole
excitations level by level, without any requirement of modifications of the
matrix model.
|
[
{
"created": "Wed, 6 Aug 2003 07:19:45 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Chen",
"Yi-Xin",
""
],
[
"Gould",
"Mark D.",
""
],
[
"Zhang",
"Yao-Zhong",
""
]
] |
Based on Haldane's spherical geometrical formalism of two-dimensional quantum Hall fluids, the relation between the noncommutative geometry of $S^2$ and the two-dimensional quantum Hall fluids is exhibited. If the number of particles $N$ is infinitely large, two-dimensional quantum Hall physics can be precisely described in terms of the noncommutative U(1) Chern-Simons theory proposed by Susskind, like in the case of plane. However, for the finite number of particles on two-sphere, the matrix-regularized version of noncommutative U(1) Chern-Simons theory involves in spinor oscillators. We establish explicitly such a finite matrix model on two-sphere as an effective description of fractional quantum Hall fluids of finite extent. The complete sets of physical quantum states of this matrix model are determined, and the properties of quantum Hall fluids related to them are discussed. We also describe how the low-lying excitations are constructed in terms of quasiparticle and quasihole excitations in the matrix model. It is shown that there consistently exists a Haldane's hierarchical structure of two-dimensional quantum Hall fluid states in the matrix model. These hierarchical fluid states are generated by the parent fluid state for particles by condensing the quasiparticle and quasihole excitations level by level, without any requirement of modifications of the matrix model.
| 8.854867
| 8.236835
| 9.485399
| 8.100249
| 8.475357
| 8.540544
| 8.624005
| 8.380317
| 8.613716
| 9.44882
| 8.287155
| 8.319082
| 8.837475
| 8.307022
| 8.36497
| 8.590584
| 8.437327
| 8.297535
| 8.594384
| 8.957948
| 8.664666
|
hep-th/9210137
|
Jeremy Schiff
|
Jeremy Schiff
|
Actions for Integrable Systems and Deformed Conformal Theories
|
(based on a talk given at the NSERC-CAP Workshop, "Quantum Groups,
Integrable Models and Statistical Systems", Kingston, Ontario, Canada, July
1992), 11 pages, plain tex, no figures, IASSNS-HEP-92/76
| null | null | null |
hep-th
| null |
I report on work on a Lagrangian formulation for the simplest 1+1 dimensional
integrable hierarchies. This formulation makes the relationship between
conformal field theories and (quantized) 1+1 dimensional integrable hierarchies
very clear.
|
[
{
"created": "Mon, 26 Oct 1992 20:37:51 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Schiff",
"Jeremy",
""
]
] |
I report on work on a Lagrangian formulation for the simplest 1+1 dimensional integrable hierarchies. This formulation makes the relationship between conformal field theories and (quantized) 1+1 dimensional integrable hierarchies very clear.
| 9.969023
| 8.470892
| 9.696037
| 7.837029
| 7.680944
| 8.841128
| 8.231809
| 8.400691
| 7.491694
| 9.335677
| 7.713249
| 8.51549
| 8.343483
| 7.889795
| 8.052445
| 8.00127
| 7.894614
| 7.963774
| 7.816203
| 7.999489
| 7.71895
|
1507.03603
|
Mehmet Ozkan
|
Mehmet Ozkan, Diederik Roest
|
Universality Classes of Scale Invariant Inflation
|
6 pages, 1 figure
| null | null | null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the inflationary implications of extensions of Poincare
symmetry. The simplest constructions with local scale invariance lead to
universal predictions: the spectral index is $n_s = 1-2/N$, in excellent
agreement with Planck data, while the tensor-to-scalar ratio is determined by a
free parameter to $r = 12 \alpha / N^2$. For the special value $\alpha=1$ one
finds symmetry enhancement to the full conformal group. We show that these
findings hold both for two-derivative scalar-tensor theories as well as
higher-derivative gravity. Therefore scale invariance underlies a promising set
of inflationary models.
|
[
{
"created": "Mon, 13 Jul 2015 20:03:12 GMT",
"version": "v1"
}
] |
2015-07-15
|
[
[
"Ozkan",
"Mehmet",
""
],
[
"Roest",
"Diederik",
""
]
] |
We investigate the inflationary implications of extensions of Poincare symmetry. The simplest constructions with local scale invariance lead to universal predictions: the spectral index is $n_s = 1-2/N$, in excellent agreement with Planck data, while the tensor-to-scalar ratio is determined by a free parameter to $r = 12 \alpha / N^2$. For the special value $\alpha=1$ one finds symmetry enhancement to the full conformal group. We show that these findings hold both for two-derivative scalar-tensor theories as well as higher-derivative gravity. Therefore scale invariance underlies a promising set of inflationary models.
| 7.809268
| 6.979726
| 7.641666
| 7.173148
| 7.305451
| 7.269226
| 7.847863
| 7.337756
| 6.798154
| 8.374868
| 7.288689
| 7.336192
| 7.51557
| 7.21982
| 7.176477
| 7.066818
| 7.432528
| 7.198297
| 7.280711
| 7.604185
| 7.217586
|
1804.02278
|
Uriel Noriega
|
Roberto Cartas-Fuentevilla, Alfredo Herrera-Aguilar, V.
Matlalcuatzi-Zamora, Uriel Noriega and Juan M. Romero
|
Anisotropic Lifshitz holography in Einstein-Proca theory with stable
negative mass spectrum
|
12 pages in latex, no figures. arXiv admin note: substantial text
overlap with arXiv:0912.2784 by other authors; text overlap with
arXiv:1107.5792 by other authors
| null |
10.1140/epjp/s13360-019-00091-2
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this article we focus on constructing a new family of spatially
anisotropic Lifshitz spacetimes with arbitrary dynamical exponent z and
constant negative curvature in d+1 dimensions within the framework of the
Einstein-Proca theory. The constructed metric tensor depends on both the
spacetime dimensionality and the critical exponent, while the curvature scalar
depends just on the number of dimensions. We also obtained a novel spectrum
with negative squared mass that respects the corresponding
Breitenlohner-Freedman bound. Hence these new solutions are stable and can be
useful within the gravity/condensed matter theory holographic duality, since
the spectrum with negative squared mass is complementary to the positive ones
already known in the literature.
|
[
{
"created": "Thu, 5 Apr 2018 01:17:17 GMT",
"version": "v1"
},
{
"created": "Sat, 22 Dec 2018 16:06:12 GMT",
"version": "v2"
},
{
"created": "Tue, 21 Jan 2020 18:41:31 GMT",
"version": "v3"
}
] |
2020-01-22
|
[
[
"Cartas-Fuentevilla",
"Roberto",
""
],
[
"Herrera-Aguilar",
"Alfredo",
""
],
[
"Matlalcuatzi-Zamora",
"V.",
""
],
[
"Noriega",
"Uriel",
""
],
[
"Romero",
"Juan M.",
""
]
] |
In this article we focus on constructing a new family of spatially anisotropic Lifshitz spacetimes with arbitrary dynamical exponent z and constant negative curvature in d+1 dimensions within the framework of the Einstein-Proca theory. The constructed metric tensor depends on both the spacetime dimensionality and the critical exponent, while the curvature scalar depends just on the number of dimensions. We also obtained a novel spectrum with negative squared mass that respects the corresponding Breitenlohner-Freedman bound. Hence these new solutions are stable and can be useful within the gravity/condensed matter theory holographic duality, since the spectrum with negative squared mass is complementary to the positive ones already known in the literature.
| 12.725601
| 10.478012
| 11.518078
| 10.570633
| 11.569959
| 10.819946
| 11.434142
| 10.400688
| 10.274365
| 12.041454
| 10.342772
| 10.728062
| 11.6914
| 10.514193
| 10.222725
| 9.97028
| 10.34856
| 10.131381
| 10.010007
| 11.363382
| 10.548724
|
2303.04568
|
Jens Erler
|
Jens Erler
|
Considerations Concerning the Little Group
|
10 pages
|
Universe 2023, 9(9), 420
|
10.3390/universe9090420
|
MITP/23-011
|
hep-th hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
I very briefly review both the historical and constructive approaches to
relativistic quantum mechanics and relativistic quantum field theory including
remarks on the possibility of a non-vanishing photon mass, as well as a
foolhardy speculation regarding dark matter.
|
[
{
"created": "Wed, 8 Mar 2023 13:28:40 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Sep 2023 15:06:42 GMT",
"version": "v2"
}
] |
2023-09-19
|
[
[
"Erler",
"Jens",
""
]
] |
I very briefly review both the historical and constructive approaches to relativistic quantum mechanics and relativistic quantum field theory including remarks on the possibility of a non-vanishing photon mass, as well as a foolhardy speculation regarding dark matter.
| 23.941479
| 19.316597
| 16.914717
| 15.639205
| 18.710932
| 17.86434
| 18.209887
| 17.577955
| 18.562183
| 18.555616
| 17.809736
| 17.949072
| 17.742357
| 17.169989
| 17.948961
| 18.552618
| 17.003965
| 17.594147
| 18.090414
| 17.646914
| 18.256819
|
hep-th/9306111
|
Armen Nersessian
|
Armen Nersessian
|
Antibrackets and Supersymmetric Mechanics
|
8 pages, Preprint JINR E2-93-225 , LaTeX file
| null | null | null |
hep-th
| null |
Using odd symplectic structure constructed over tangent bundle of the
symplectic manifold, we construct the simple supergeneralization of an
arbitrary Hamiltonian mechanics on it. In the case, if the initial mechanics
defines Killing vector of some Riemannian metric, corresponding supersymmetric
mechanics can be reformulated in the terms of even symplectic structure on the
supermanifold.
|
[
{
"created": "Tue, 22 Jun 1993 10:26:52 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Jul 1993 15:32:58 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Nersessian",
"Armen",
""
]
] |
Using odd symplectic structure constructed over tangent bundle of the symplectic manifold, we construct the simple supergeneralization of an arbitrary Hamiltonian mechanics on it. In the case, if the initial mechanics defines Killing vector of some Riemannian metric, corresponding supersymmetric mechanics can be reformulated in the terms of even symplectic structure on the supermanifold.
| 15.410948
| 11.749338
| 14.750437
| 10.744507
| 12.012831
| 11.674721
| 12.035294
| 12.076377
| 11.490282
| 15.991064
| 11.749299
| 11.868883
| 14.205112
| 12.651267
| 12.804728
| 12.680357
| 12.728602
| 12.552659
| 12.955898
| 15.472802
| 12.696986
|
1712.07066
|
Michele Maggiore
|
Enis Belgacem, Yves Dirian, Stefano Foffa and Michele Maggiore
|
Nonlocal gravity. Conceptual aspects and cosmological predictions
|
60 pages, 12 figures; v2: references added
| null |
10.1088/1475-7516/2018/03/002
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Even if the fundamental action of gravity is local, the corresponding quantum
effective action, that includes the effect of quantum fluctuations, is a
nonlocal object. These nonlocalities are well understood in the ultraviolet
regime but much less in the infrared, where they could in principle give rise
to important cosmological effects. Here we systematize and extend previous work
of our group, in which it is assumed that a mass scale $\Lambda$ is dynamically
generated in the infrared, giving rise to nonlocal terms in the quantum
effective action of gravity. We give a detailed discussion of conceptual
aspects related to nonlocal gravity and of the cosmological consequences of
these models. The requirement of providing a viable cosmological evolution
severely restricts the form of the nonlocal terms, and selects a model (the
so-called RR model) that corresponds to a dynamical mass generation for the
conformal mode. For such a model: (1) there is a FRW background evolution,
where the nonlocal term acts as an effective dark energy with a phantom
equation of state, providing accelerated expansion without a cosmological
constant. (2) Cosmological perturbations are well behaved. (3) Implementing the
model in a Boltzmann code and comparing with observations we find that the RR
model fits the CMB, BAO, SNe, structure formation data and local $H_0$
measurements at a level statistically equivalent to $\Lambda$CDM. (4) Bayesian
parameter estimation shows that the value of $H_0$ obtained in the RR model is
higher than in $\Lambda$CDM, reducing to $2.0\sigma$ the tension with the value
from local measurements. (5) The RR model provides a prediction for the sum of
neutrino masses that falls within the limits set by oscillation and terrestrial
experiments. (6) Gravitational waves propagate at the speed of light, complying
with the limit from GW170817/GRB 170817A.
|
[
{
"created": "Tue, 19 Dec 2017 17:30:36 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Jan 2018 17:49:32 GMT",
"version": "v2"
}
] |
2018-03-21
|
[
[
"Belgacem",
"Enis",
""
],
[
"Dirian",
"Yves",
""
],
[
"Foffa",
"Stefano",
""
],
[
"Maggiore",
"Michele",
""
]
] |
Even if the fundamental action of gravity is local, the corresponding quantum effective action, that includes the effect of quantum fluctuations, is a nonlocal object. These nonlocalities are well understood in the ultraviolet regime but much less in the infrared, where they could in principle give rise to important cosmological effects. Here we systematize and extend previous work of our group, in which it is assumed that a mass scale $\Lambda$ is dynamically generated in the infrared, giving rise to nonlocal terms in the quantum effective action of gravity. We give a detailed discussion of conceptual aspects related to nonlocal gravity and of the cosmological consequences of these models. The requirement of providing a viable cosmological evolution severely restricts the form of the nonlocal terms, and selects a model (the so-called RR model) that corresponds to a dynamical mass generation for the conformal mode. For such a model: (1) there is a FRW background evolution, where the nonlocal term acts as an effective dark energy with a phantom equation of state, providing accelerated expansion without a cosmological constant. (2) Cosmological perturbations are well behaved. (3) Implementing the model in a Boltzmann code and comparing with observations we find that the RR model fits the CMB, BAO, SNe, structure formation data and local $H_0$ measurements at a level statistically equivalent to $\Lambda$CDM. (4) Bayesian parameter estimation shows that the value of $H_0$ obtained in the RR model is higher than in $\Lambda$CDM, reducing to $2.0\sigma$ the tension with the value from local measurements. (5) The RR model provides a prediction for the sum of neutrino masses that falls within the limits set by oscillation and terrestrial experiments. (6) Gravitational waves propagate at the speed of light, complying with the limit from GW170817/GRB 170817A.
| 5.114967
| 5.922125
| 5.633584
| 5.405765
| 5.573212
| 5.650732
| 5.945823
| 5.632658
| 5.737796
| 5.799807
| 5.547691
| 5.39181
| 5.336483
| 5.271863
| 5.312564
| 5.422745
| 5.377418
| 5.330654
| 5.317464
| 5.191675
| 5.35771
|
1411.1003
|
Oriol Pujolas
|
Matteo Baggioli and Oriol Pujolas
|
Holographic Polarons, the Metal-Insulator Transition and Massive Gravity
|
4 pages, 3 figures. Typos corrected, references added. Presentation
slightly improved. We emphasize that M-I transitions can be obtained both at
constant charge density and at constant chemical potential. Figures updated
with a corrected minor numerical mistake (conclusions unaffected)
|
Phys. Rev. Lett. 114, 251602 (2015)
|
10.1103/PhysRevLett.114.251602
| null |
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Massive gravity is holographically dual to `realistic' materials with
momentum relaxation. The dual graviton potential encodes the phonon dynamics
and it allows for a much broader diversity than considered so far. We construct
a simple family of isotropic and homogeneous materials that exhibit an
interaction-driven Metal-Insulator transition. The transition is triggered by
the formation of polarons -- phonon-electron quasi-bound states that dominate
the conductivities, shifting the spectral weight above a mass gap. We
characterize the polaron gap, width and dispersion.
|
[
{
"created": "Tue, 4 Nov 2014 19:11:49 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Nov 2014 17:05:55 GMT",
"version": "v2"
},
{
"created": "Wed, 19 Nov 2014 20:59:06 GMT",
"version": "v3"
}
] |
2015-07-01
|
[
[
"Baggioli",
"Matteo",
""
],
[
"Pujolas",
"Oriol",
""
]
] |
Massive gravity is holographically dual to `realistic' materials with momentum relaxation. The dual graviton potential encodes the phonon dynamics and it allows for a much broader diversity than considered so far. We construct a simple family of isotropic and homogeneous materials that exhibit an interaction-driven Metal-Insulator transition. The transition is triggered by the formation of polarons -- phonon-electron quasi-bound states that dominate the conductivities, shifting the spectral weight above a mass gap. We characterize the polaron gap, width and dispersion.
| 20.852142
| 19.29109
| 24.090143
| 17.253948
| 19.890196
| 18.312683
| 17.784163
| 17.336042
| 19.199337
| 23.076799
| 18.112238
| 18.221804
| 19.470907
| 17.82428
| 18.242764
| 17.665321
| 17.870874
| 18.16671
| 18.88114
| 21.339554
| 17.487156
|
2010.14328
|
Aslam Halder
|
Aslam Halder
|
Graphene on noncommutative plane and the Seiberg-Witten map
|
13 pages, no figure
| null | null | null |
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Graphene on two dimensional (2D) noncommutative (NC) plane in the presence of
a constant background magnetic field has been studied. To handel the
gauge-invariance issue we start our analysis by a effective massles NC Dirac
field theory where we incorporate the Seiberg-Witten (SW) map along with the
Moyal star ($\star$) product. The gauge-invariant Hamiltonian of a massless
Dirac particle is then computed which is used to study the relativistic Landau
problem of graphene on NC plane. Specifically we study the quantum dynamics of
a massless relativistic electron moves on monolayer graphene, in the presence
of a constant background magnetic field, on NC plane. We also compute the
energy spectrum of the NC Landau system in graphene. The results obtained are
corrected by the spatial NC parameter $\theta$. Finally we visit the Weyl
equation for electron in graphene on NC plane. Interestingly, in this case
helicity is found to be $\theta$ modified.
|
[
{
"created": "Tue, 27 Oct 2020 14:39:15 GMT",
"version": "v1"
}
] |
2020-10-28
|
[
[
"Halder",
"Aslam",
""
]
] |
Graphene on two dimensional (2D) noncommutative (NC) plane in the presence of a constant background magnetic field has been studied. To handel the gauge-invariance issue we start our analysis by a effective massles NC Dirac field theory where we incorporate the Seiberg-Witten (SW) map along with the Moyal star ($\star$) product. The gauge-invariant Hamiltonian of a massless Dirac particle is then computed which is used to study the relativistic Landau problem of graphene on NC plane. Specifically we study the quantum dynamics of a massless relativistic electron moves on monolayer graphene, in the presence of a constant background magnetic field, on NC plane. We also compute the energy spectrum of the NC Landau system in graphene. The results obtained are corrected by the spatial NC parameter $\theta$. Finally we visit the Weyl equation for electron in graphene on NC plane. Interestingly, in this case helicity is found to be $\theta$ modified.
| 9.337416
| 8.948721
| 8.970542
| 8.803624
| 8.634489
| 8.869577
| 8.834578
| 8.369905
| 8.55727
| 10.088593
| 8.283348
| 8.492169
| 8.925711
| 8.704983
| 8.672305
| 8.710834
| 8.698722
| 8.540467
| 8.423501
| 9.246643
| 8.842558
|
0710.4864
|
Marco Pirrone
|
Federico Elmetti, Andrea Mauri, Marco Pirrone
|
Conformal invariance and finiteness theorems for non-planar
beta-deformed N=4 SYM theory
|
LaTex, 16 pages, 10 figures
| null | null | null |
hep-th
| null |
We study the conformal invariance of non-planar beta-deformed N=4 SYM theory
using the coupling constant reduction (CCR) formalism. We show that up to order
g^10, differently from the planar case, we can remove the scheme dependence in
the definition of the theory without reducing to the real beta case. We also
compute the gauge beta function up to four loops and see that the generalized
finiteness theorems proposed in [hep-th: 0705.1483] still hold.
|
[
{
"created": "Thu, 25 Oct 2007 13:32:20 GMT",
"version": "v1"
}
] |
2007-10-26
|
[
[
"Elmetti",
"Federico",
""
],
[
"Mauri",
"Andrea",
""
],
[
"Pirrone",
"Marco",
""
]
] |
We study the conformal invariance of non-planar beta-deformed N=4 SYM theory using the coupling constant reduction (CCR) formalism. We show that up to order g^10, differently from the planar case, we can remove the scheme dependence in the definition of the theory without reducing to the real beta case. We also compute the gauge beta function up to four loops and see that the generalized finiteness theorems proposed in [hep-th: 0705.1483] still hold.
| 12.234775
| 13.766914
| 14.783211
| 11.580849
| 12.213516
| 12.777739
| 13.404738
| 11.652249
| 11.274705
| 16.506422
| 12.747836
| 11.747887
| 12.615473
| 11.999243
| 12.057777
| 12.054739
| 11.816831
| 11.825067
| 11.746047
| 12.920365
| 12.022277
|
2004.07361
|
Daniele Oriti
|
Marco Finocchiaro, Daniele Oriti
|
Renormalization of group field theories for quantum gravity: new scaling
results and some suggestions
|
29 pages, 19 figures/tables; v2: 32 pages, improved presentation on
several points, some typos corrected, references added
|
Frontiers in Physics, 8, 649 (2021)
|
10.3389/fphy.2020.552354
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss motivation and goals of renormalization analyses of group field
theory models of simplicial 4d quantum gravity, and review briefly the status
of this research area. We present some new computations of perturbative GFT
(spin foam) amplitudes, concerning in particular the scaling behaviour of
radiative corrections to N-point functions. Finally, we single out key open
issues and suggest a number of research directions for further progress in this
area.
|
[
{
"created": "Wed, 15 Apr 2020 21:42:46 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Dec 2020 13:14:44 GMT",
"version": "v2"
}
] |
2021-05-07
|
[
[
"Finocchiaro",
"Marco",
""
],
[
"Oriti",
"Daniele",
""
]
] |
We discuss motivation and goals of renormalization analyses of group field theory models of simplicial 4d quantum gravity, and review briefly the status of this research area. We present some new computations of perturbative GFT (spin foam) amplitudes, concerning in particular the scaling behaviour of radiative corrections to N-point functions. Finally, we single out key open issues and suggest a number of research directions for further progress in this area.
| 13.18018
| 11.999082
| 12.069113
| 11.819485
| 11.999577
| 11.997712
| 13.977196
| 11.118762
| 12.153287
| 13.682977
| 11.147721
| 12.348577
| 12.399905
| 12.368471
| 11.582914
| 11.841449
| 11.638569
| 11.591445
| 12.012521
| 12.468923
| 11.795568
|
1106.3210
|
Mukund Rangamani
|
Mukund Rangamani, Benjamin Withers
|
Fermionic probes of local quantum criticality in one dimension
|
5 pages, 2 figures. v2: fixed typos and added refs. published version
| null |
10.1103/PhysRevD.84.086003
|
DCPT-11/27
|
hep-th cond-mat.str-el gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the spectral functions of fermionic operators in 1+1 dimensional
SU(N) Super Yang-Mills theory with 16 supercharges at finite density using the
holographically dual D1-brane geometry. This system exhibits quasi-particle
peaks indicating the existence of Fermi points about which excitations have a
finite relaxation time, in contrast with the Tomonaga-Luttinger model. The
finite width may be attributed to the non-trivial interactions of the probe
operators with the background density matrix, modeled holographically as a
charged black hole. We show that the fermionic correlators can in fact be
deduced from known results for fermion probes of the charged AdS4 black hole
background, owing to some remarkable coincidences in supergravity truncations.
|
[
{
"created": "Thu, 16 Jun 2011 12:14:35 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Nov 2011 21:52:26 GMT",
"version": "v2"
}
] |
2013-05-29
|
[
[
"Rangamani",
"Mukund",
""
],
[
"Withers",
"Benjamin",
""
]
] |
We study the spectral functions of fermionic operators in 1+1 dimensional SU(N) Super Yang-Mills theory with 16 supercharges at finite density using the holographically dual D1-brane geometry. This system exhibits quasi-particle peaks indicating the existence of Fermi points about which excitations have a finite relaxation time, in contrast with the Tomonaga-Luttinger model. The finite width may be attributed to the non-trivial interactions of the probe operators with the background density matrix, modeled holographically as a charged black hole. We show that the fermionic correlators can in fact be deduced from known results for fermion probes of the charged AdS4 black hole background, owing to some remarkable coincidences in supergravity truncations.
| 12.268758
| 10.544124
| 12.626197
| 10.553351
| 11.3619
| 11.093625
| 10.960839
| 10.10371
| 9.905511
| 13.868577
| 10.789845
| 10.871266
| 12.010448
| 10.978372
| 10.825772
| 10.820989
| 11.116771
| 10.48963
| 10.725925
| 11.74468
| 11.048892
|
0712.4403
|
Bert Schroer
|
Bert Schroer
|
Localization-Entropy from Holography on Null-Surfaces and the Split
Property
|
35 pages, removal of misprints, bibliographical shortcomings
repaired, added paragraph in section 6
| null | null | null |
hep-th cond-mat.other gr-qc quant-ph
| null |
Using the conformal equivalence of translational KMS states on chiral
theories with dilational KMS states obtained from restricting the vacuum state
to an interval (the chiral inversion of the Unruh-effect) it was shown in a
previous publications that the diverging volume (length) factor of the
thermodynamic limit corresponds to the logarithmic increase in the attenuation
length of the localization-caused vacuum polarization cloud near the causal
boundary. This is not a coincidence but rather a structural consequence of the
fact that both operator algebras are of the same unique von Neumann type which
is completely different from that met in quantum mechanical algebras. Together
with the technique of holographic projection this leads to the universal area
proportionality. The main aim in this paper is to present a derivation which is
more in the spirit of recent work on entanglement entropy in condensed matter
physics, especially to that of the replica trick as used by Cardy and
collaborators. The essential new ingredient is the use of the split property
which already has shown its constructive power in securing the existence of
models of factorizing theories.
|
[
{
"created": "Fri, 28 Dec 2007 20:36:11 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Jan 2008 20:22:04 GMT",
"version": "v2"
}
] |
2008-01-03
|
[
[
"Schroer",
"Bert",
""
]
] |
Using the conformal equivalence of translational KMS states on chiral theories with dilational KMS states obtained from restricting the vacuum state to an interval (the chiral inversion of the Unruh-effect) it was shown in a previous publications that the diverging volume (length) factor of the thermodynamic limit corresponds to the logarithmic increase in the attenuation length of the localization-caused vacuum polarization cloud near the causal boundary. This is not a coincidence but rather a structural consequence of the fact that both operator algebras are of the same unique von Neumann type which is completely different from that met in quantum mechanical algebras. Together with the technique of holographic projection this leads to the universal area proportionality. The main aim in this paper is to present a derivation which is more in the spirit of recent work on entanglement entropy in condensed matter physics, especially to that of the replica trick as used by Cardy and collaborators. The essential new ingredient is the use of the split property which already has shown its constructive power in securing the existence of models of factorizing theories.
| 20.371058
| 23.633741
| 22.84367
| 19.124235
| 22.324293
| 21.772188
| 22.001831
| 20.969297
| 20.977617
| 25.217607
| 19.340191
| 18.998564
| 19.674795
| 19.169886
| 19.286119
| 18.719137
| 19.019981
| 19.044056
| 18.700914
| 19.813286
| 18.382961
|
2104.02090
|
Petr Kravchuk
|
Petr Kravchuk, Jiaxin Qiao, Slava Rychkov
|
Distributions in CFT II. Minkowski Space
|
88+18 pages, 18 figures, a 25-page fast track included on page 5; v2:
published version
| null |
10.1007/JHEP08(2021)094
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
CFTs in Euclidean signature satisfy well-accepted rules, such as the
convergent Euclidean OPE. It is nowadays common to assume that CFT correlators
exist and have various properties also in Lorentzian signature. Some of these
properties may represent extra assumptions, and it is an open question if they
hold for familiar statistical-physics CFTs such as the critical 3d Ising model.
Here we consider Wightman 4-point functions of scalar primaries in Lorentzian
signature. We derive a minimal set of their properties solely from the
Euclidean unitary CFT axioms, without using extra assumptions. We establish all
Wightman axioms (temperedness, spectral property, local commutativity,
clustering), Lorentzian conformal invariance, and distributional convergence of
the s-channel Lorentzian OPE. This is done constructively, by analytically
continuing the 4-point functions using the s-channel OPE expansion in the
radial cross-ratios $\rho, \bar{\rho}$. We prove a key fact that $|\rho|,
|\bar{\rho}| < 1$ inside the forward tube, and set bounds on how fast $|\rho|,
|\bar{\rho}|$ may tend to 1 when approaching the Minkowski space.
We also provide a guide to the axiomatic QFT literature for the modern CFT
audience. We review the Wightman and Osterwalder-Schrader (OS) axioms for
Lorentzian and Euclidean QFTs, and the celebrated OS theorem connecting them.
We also review a classic result of Mack about the distributional OPE
convergence. Some of the classic arguments turn out useful in our setup. Others
fall short of our needs due to Lorentzian assumptions (Mack) or unverifiable
Euclidean assumptions (OS theorem).
|
[
{
"created": "Mon, 5 Apr 2021 18:00:17 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Jul 2021 17:45:22 GMT",
"version": "v2"
}
] |
2021-09-15
|
[
[
"Kravchuk",
"Petr",
""
],
[
"Qiao",
"Jiaxin",
""
],
[
"Rychkov",
"Slava",
""
]
] |
CFTs in Euclidean signature satisfy well-accepted rules, such as the convergent Euclidean OPE. It is nowadays common to assume that CFT correlators exist and have various properties also in Lorentzian signature. Some of these properties may represent extra assumptions, and it is an open question if they hold for familiar statistical-physics CFTs such as the critical 3d Ising model. Here we consider Wightman 4-point functions of scalar primaries in Lorentzian signature. We derive a minimal set of their properties solely from the Euclidean unitary CFT axioms, without using extra assumptions. We establish all Wightman axioms (temperedness, spectral property, local commutativity, clustering), Lorentzian conformal invariance, and distributional convergence of the s-channel Lorentzian OPE. This is done constructively, by analytically continuing the 4-point functions using the s-channel OPE expansion in the radial cross-ratios $\rho, \bar{\rho}$. We prove a key fact that $|\rho|, |\bar{\rho}| < 1$ inside the forward tube, and set bounds on how fast $|\rho|, |\bar{\rho}|$ may tend to 1 when approaching the Minkowski space. We also provide a guide to the axiomatic QFT literature for the modern CFT audience. We review the Wightman and Osterwalder-Schrader (OS) axioms for Lorentzian and Euclidean QFTs, and the celebrated OS theorem connecting them. We also review a classic result of Mack about the distributional OPE convergence. Some of the classic arguments turn out useful in our setup. Others fall short of our needs due to Lorentzian assumptions (Mack) or unverifiable Euclidean assumptions (OS theorem).
| 7.726891
| 9.261391
| 8.799656
| 8.378147
| 9.356146
| 8.800282
| 8.599552
| 8.275822
| 8.115131
| 9.41203
| 8.185744
| 7.671733
| 7.748117
| 7.715391
| 7.559891
| 7.790365
| 7.640608
| 7.572975
| 7.745925
| 7.781648
| 7.731443
|
2301.11963
|
Edvard Musaev
|
Sameer Kumar and Edvard T. Musaev
|
On 10 dimensional Exceptional Drinfel'd Algebras
|
v2: more precise classification presented; an error in Mathematic
code corrected; main statement of v1 has not been changed
|
Prog Theor Exp Phys (2023)
|
10.1093/ptep/ptad100
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Based on Mubarakzyanov's classification of four-dimensional real Lie
algebras, we classify ten-dimensional Exceptional Drinfeld algebras (EDA). The
classification is restricted to EDA's whose maximal isotropic (geometric)
subalgebras cannot be represented as a product of a 3D Lie algebra and a 1D
abelian factor. We collect the obtained algebras into families depending on the
dualities found between them. Despite algebras related by a generalized
Yang-Baxter deformation we find two algebras related by a different Nambu-Lie
U-duality transformation. We show that this duality relates two Type IIA
backgrounds.
|
[
{
"created": "Fri, 27 Jan 2023 19:34:36 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Jul 2023 19:31:08 GMT",
"version": "v2"
}
] |
2023-09-06
|
[
[
"Kumar",
"Sameer",
""
],
[
"Musaev",
"Edvard T.",
""
]
] |
Based on Mubarakzyanov's classification of four-dimensional real Lie algebras, we classify ten-dimensional Exceptional Drinfeld algebras (EDA). The classification is restricted to EDA's whose maximal isotropic (geometric) subalgebras cannot be represented as a product of a 3D Lie algebra and a 1D abelian factor. We collect the obtained algebras into families depending on the dualities found between them. Despite algebras related by a generalized Yang-Baxter deformation we find two algebras related by a different Nambu-Lie U-duality transformation. We show that this duality relates two Type IIA backgrounds.
| 14.964741
| 15.189917
| 15.743623
| 12.977167
| 14.152122
| 13.513665
| 13.581938
| 12.227746
| 13.176499
| 16.489159
| 12.406834
| 11.918806
| 14.058449
| 13.092897
| 13.024021
| 12.332994
| 12.91561
| 11.744882
| 12.368574
| 13.767453
| 11.589823
|
1310.7625
|
Omar Zanusso
|
Alessandro Codello, Maximilian Demmel, Omar Zanusso
|
Scheme dependence and universality in the functional renormalization
group
|
5 pages, improved version; v2: published version; v3 and v4: fixed
various typos (final result is unaffected)
|
Phys. Rev. D 90, 027701 (2014)
|
10.1103/PhysRevD.90.027701
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We prove that the functional renormalization group flow equation admits a
perturbative solution and show explicitly the scheme transformation that
relates it to the standard schemes of perturbation theory. We then define a
universal scheme within the functional renormalization group.
|
[
{
"created": "Mon, 28 Oct 2013 21:09:19 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Jun 2014 14:44:30 GMT",
"version": "v2"
},
{
"created": "Tue, 21 Oct 2014 13:12:34 GMT",
"version": "v3"
},
{
"created": "Mon, 27 Apr 2015 17:06:54 GMT",
"version": "v4"
}
] |
2015-04-28
|
[
[
"Codello",
"Alessandro",
""
],
[
"Demmel",
"Maximilian",
""
],
[
"Zanusso",
"Omar",
""
]
] |
We prove that the functional renormalization group flow equation admits a perturbative solution and show explicitly the scheme transformation that relates it to the standard schemes of perturbation theory. We then define a universal scheme within the functional renormalization group.
| 12.225009
| 10.154145
| 10.90272
| 10.346621
| 10.683345
| 11.79191
| 12.11773
| 11.196323
| 10.411933
| 12.571732
| 11.001934
| 12.067323
| 11.64901
| 11.148125
| 10.791489
| 10.801025
| 11.242729
| 10.894717
| 11.116983
| 11.742259
| 10.771452
|
hep-th/9910198
|
Yuri Gusev
|
Yu. V. Gusev and A. I. Zelnikov
|
Two-dimensional effective action for matter fields coupled to the
dilaton
|
LaTeX, 25 pages
|
Phys.Rev. D61 (2000) 084010
|
10.1103/PhysRevD.61.084010
|
Alberta Thy 17-99
|
hep-th gr-qc
| null |
We revise the calculation of the one-loop effective action for scalar and
spinor fields coupled to the dilaton in two dimensions. Applying the method of
covariant perturbation theory for the heat kernel we derive the effective
action in an explicitly covariant form that produces both the conformally
invariant and the conformally anomalous terms.For scalar fields the conformally
invariant part of the action is nonlocal. The obtained effective action is
proved to be infrared finite. We also compute the one-loop effective action for
scalar fields at finite temperature.
|
[
{
"created": "Tue, 26 Oct 1999 00:16:06 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Gusev",
"Yu. V.",
""
],
[
"Zelnikov",
"A. I.",
""
]
] |
We revise the calculation of the one-loop effective action for scalar and spinor fields coupled to the dilaton in two dimensions. Applying the method of covariant perturbation theory for the heat kernel we derive the effective action in an explicitly covariant form that produces both the conformally invariant and the conformally anomalous terms.For scalar fields the conformally invariant part of the action is nonlocal. The obtained effective action is proved to be infrared finite. We also compute the one-loop effective action for scalar fields at finite temperature.
| 8.099253
| 7.141963
| 7.511423
| 6.675231
| 7.698426
| 6.901699
| 7.36168
| 7.199378
| 7.04277
| 7.927944
| 7.141774
| 7.635859
| 8.112145
| 7.591821
| 7.538336
| 7.708476
| 7.682013
| 7.460024
| 7.509238
| 7.847481
| 7.590014
|
hep-th/9709043
| null |
Emilian Dudas
|
Supersymmetry breaking in M-theory and quantization rules
|
16 pages, LaTex, no figures
|
Phys.Lett. B416 (1998) 309-318
|
10.1016/S0370-2693(97)01308-7
|
CERN-TH/97-236, LPTHE-ORSAY 97/43
|
hep-th hep-ph
| null |
We analyze in detail supersymmetry breaking by compactification of the fifth
dimension in M-theory in the compactification pattern $11d \to 5d \to 4d$ and
find that a superpotential is generated for the complex fields coming from $5d$
hypermultiplets, namely the dilaton $S$ and the complex structure moduli. Using
general arguments it is shown that these fields are always stabilized such that
they don't contribute to supersymmetry breaking, which is completely saturated
by the K\"ahler moduli coming from vector multiplets.
It is shown that this mechanism is the strong-coupling analog of the
Rohm-Witten quantization of the antisymmetric tensor field strength of string
theories. The effect of a gaugino condensate on one of the boundaries is also
considered.
|
[
{
"created": "Thu, 4 Sep 1997 19:41:40 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Dudas",
"Emilian",
""
]
] |
We analyze in detail supersymmetry breaking by compactification of the fifth dimension in M-theory in the compactification pattern $11d \to 5d \to 4d$ and find that a superpotential is generated for the complex fields coming from $5d$ hypermultiplets, namely the dilaton $S$ and the complex structure moduli. Using general arguments it is shown that these fields are always stabilized such that they don't contribute to supersymmetry breaking, which is completely saturated by the K\"ahler moduli coming from vector multiplets. It is shown that this mechanism is the strong-coupling analog of the Rohm-Witten quantization of the antisymmetric tensor field strength of string theories. The effect of a gaugino condensate on one of the boundaries is also considered.
| 8.768126
| 7.820563
| 9.197288
| 8.275336
| 8.794178
| 9.132948
| 8.668412
| 8.079019
| 8.311502
| 10.953501
| 8.264592
| 7.838604
| 8.218264
| 7.872619
| 8.13319
| 8.226102
| 8.267157
| 7.970107
| 7.967216
| 8.4799
| 7.948011
|
1210.1541
|
George Siopsis
|
James Alsup, Eleftherios Papantonopoulos, George Siopsis
|
A Novel Mechanism to Generate FFLO States in Holographic Superconductors
|
v2: 7 pages, 5 figures, improved discussion on critical temperature,
to appear in PLB. arXiv admin note: text overlap with arXiv:1208.4582
| null |
10.1016/j.physletb.2013.02.018
| null |
hep-th cond-mat.str-el cond-mat.supr-con gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss a novel mechanism to set up a gravity dual of FFLO states in
strongly coupled superconductors. The gravitational theory utilizes two U(1)
gauge fields and a scalar field coupled to a charged AdS black hole. The first
gauge field couples with the scalar sourcing a charge condensate below a
critical temperature, and the second gauge field provides a coupling to spin in
the boundary theory. The scalar is neutral under the second gauge field. By
turning on an interaction between the Einstein tensor and the scalar, it is
shown that, in the low temperature limit, an inhomogeneous solution possesses a
higher critical temperature than the homogeneous case, giving rise to FFLO
states.
|
[
{
"created": "Thu, 4 Oct 2012 18:59:21 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Feb 2013 23:18:37 GMT",
"version": "v2"
}
] |
2015-06-11
|
[
[
"Alsup",
"James",
""
],
[
"Papantonopoulos",
"Eleftherios",
""
],
[
"Siopsis",
"George",
""
]
] |
We discuss a novel mechanism to set up a gravity dual of FFLO states in strongly coupled superconductors. The gravitational theory utilizes two U(1) gauge fields and a scalar field coupled to a charged AdS black hole. The first gauge field couples with the scalar sourcing a charge condensate below a critical temperature, and the second gauge field provides a coupling to spin in the boundary theory. The scalar is neutral under the second gauge field. By turning on an interaction between the Einstein tensor and the scalar, it is shown that, in the low temperature limit, an inhomogeneous solution possesses a higher critical temperature than the homogeneous case, giving rise to FFLO states.
| 9.798095
| 7.749773
| 12.03089
| 8.50737
| 9.332228
| 9.337658
| 9.899471
| 7.315872
| 8.326305
| 11.101385
| 8.356328
| 8.871299
| 9.717153
| 8.892516
| 8.796667
| 8.831425
| 9.105171
| 8.700758
| 8.880149
| 9.802376
| 8.895328
|
hep-th/0106132
|
B. B. Deo
|
B. B. Deo
|
Super Virasoro Ghost Algebra using the Conformal Ghosts
|
6 pages latex
| null | null | null |
hep-th
| null |
Superconformal ghost current generators of conformal dimension 3/2 are
constructed using the conformal ghosts and anticommuting infinite dimensional
gamma matrices of the Clifford algebra. The super-Virasoro algebra for the
ghosts in both the N.S. and R sectors are presented. The anomaly terms in both
cases are deduced using Jacobi identity.
|
[
{
"created": "Fri, 15 Jun 2001 11:22:57 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Deo",
"B. B.",
""
]
] |
Superconformal ghost current generators of conformal dimension 3/2 are constructed using the conformal ghosts and anticommuting infinite dimensional gamma matrices of the Clifford algebra. The super-Virasoro algebra for the ghosts in both the N.S. and R sectors are presented. The anomaly terms in both cases are deduced using Jacobi identity.
| 19.25749
| 17.336945
| 19.21842
| 16.228565
| 19.249002
| 16.649031
| 17.779991
| 16.611582
| 16.830217
| 18.273445
| 18.064545
| 16.32937
| 16.98303
| 16.143162
| 16.773445
| 17.327436
| 17.209099
| 15.366729
| 16.724556
| 18.264694
| 16.088858
|
0710.4533
|
Sunil Mukhi
|
Anindya Mukherjee, Sunil Mukhi, Rahul Nigam
|
Kinematical Analogy for Marginal Dyon Decay
|
10 pages, minor revisions
|
Mod.Phys.Lett.A24:1507-1515,2009
|
10.1142/S0217732309030023
|
TIFR/TH/07-31
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We describe a kinematical analogy for the marginal decay of 1/4-BPS dyons in
4-dimensional N=4 string compactifications. In this analogy, the electric and
magnetic charges play the role of spatial momenta, the BPS mass plays the role
of energy, and 1/2-BPS dyons correspond to massless particles. Using SO(12,1)
"Lorentz" invariance and standard kinematical formulae in particle physics, we
provide simple derivations of the curves of marginal stability. We also show
how these curves map into the momentum ellipsoid, and propose some applications
of this analogy.
|
[
{
"created": "Wed, 24 Oct 2007 18:48:41 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Dec 2008 09:36:08 GMT",
"version": "v2"
}
] |
2009-07-22
|
[
[
"Mukherjee",
"Anindya",
""
],
[
"Mukhi",
"Sunil",
""
],
[
"Nigam",
"Rahul",
""
]
] |
We describe a kinematical analogy for the marginal decay of 1/4-BPS dyons in 4-dimensional N=4 string compactifications. In this analogy, the electric and magnetic charges play the role of spatial momenta, the BPS mass plays the role of energy, and 1/2-BPS dyons correspond to massless particles. Using SO(12,1) "Lorentz" invariance and standard kinematical formulae in particle physics, we provide simple derivations of the curves of marginal stability. We also show how these curves map into the momentum ellipsoid, and propose some applications of this analogy.
| 8.476947
| 7.652636
| 8.804832
| 7.396782
| 7.31628
| 7.847195
| 7.504719
| 7.75853
| 7.209913
| 9.735012
| 7.372513
| 7.967172
| 8.533521
| 7.834203
| 7.783629
| 7.955103
| 7.455258
| 7.865904
| 7.999926
| 8.532719
| 7.78436
|
hep-th/0602271
|
Seiji Terashima
|
Seiji Terashima (Rutgers)
|
Ghost D-brane, Supersymmetry and Matrix Model
|
12 pages, references added
|
JHEP0605:067,2006
|
10.1088/1126-6708/2006/05/067
| null |
hep-th
| null |
In this note we study the world volume theory of pairs of D-brane and ghost
D-brane, which is shown to have 16 linear supersymmetries and 16 nonlinear
supersymmetries. In particular we study a matrix model based on the pairs of
D(-1)-brane and ghost D(-1)-brane. Since such pairs are supposed to be
equivalent to the closed string vacuum, we expect all 32 supersymmetries should
be unbroken. We show that the world volume theory of the pairs of D-brane and
ghost D-brane has unbroken 32 supersymmetries even though a half of them are
nonlinearly realized.
|
[
{
"created": "Mon, 27 Feb 2006 20:25:22 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Mar 2006 19:56:42 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Terashima",
"Seiji",
"",
"Rutgers"
]
] |
In this note we study the world volume theory of pairs of D-brane and ghost D-brane, which is shown to have 16 linear supersymmetries and 16 nonlinear supersymmetries. In particular we study a matrix model based on the pairs of D(-1)-brane and ghost D(-1)-brane. Since such pairs are supposed to be equivalent to the closed string vacuum, we expect all 32 supersymmetries should be unbroken. We show that the world volume theory of the pairs of D-brane and ghost D-brane has unbroken 32 supersymmetries even though a half of them are nonlinearly realized.
| 5.792011
| 5.139502
| 6.989407
| 5.451451
| 5.472687
| 5.342743
| 5.42403
| 4.943423
| 5.49463
| 6.885361
| 5.187082
| 5.321277
| 5.981496
| 5.560388
| 5.304334
| 5.246172
| 5.496895
| 5.484526
| 5.399133
| 6.129937
| 5.466736
|
1206.2902
|
Sven Bjarke Gudnason
|
Roberto Auzzi, Shmuel Elitzur, Sven Bjarke Gudnason, Eliezer
Rabinovici
|
Time-dependent stabilization in AdS/CFT
|
LaTeX, 38 pages, 13 figures. V2: appendix C added, references added
and typos corrected
|
JHEP 1208:035,2012
|
10.1007/JHEP08(2012)035
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider theories with time-dependent Hamiltonians which alternate between
being bounded and unbounded from below. For appropriate frequencies dynamical
stabilization can occur rendering the effective potential of the system stable.
We first study a free field theory on a torus with a time-dependent mass term,
finding that the stability regions are described in terms of the phase diagram
of the Mathieu equation. Using number theory we have found a compactification
scheme such as to avoid resonances for all momentum modes in the theory. We
further consider the gravity dual of a conformal field theory on a sphere in
three spacetime dimensions, deformed by a doubletrace operator. The gravity
dual of the theory with a constant unbounded potential develops big crunch
singularities; we study when such singularities can be cured by dynamical
stabilization. We numerically solve the Einstein-scalar equations of motion in
the case of a time-dependent doubletrace deformation and find that for
sufficiently high frequencies the theory is dynamically stabilized and big
crunches get screened by black hole horizons.
|
[
{
"created": "Wed, 13 Jun 2012 19:25:24 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Aug 2012 12:32:20 GMT",
"version": "v2"
}
] |
2012-08-13
|
[
[
"Auzzi",
"Roberto",
""
],
[
"Elitzur",
"Shmuel",
""
],
[
"Gudnason",
"Sven Bjarke",
""
],
[
"Rabinovici",
"Eliezer",
""
]
] |
We consider theories with time-dependent Hamiltonians which alternate between being bounded and unbounded from below. For appropriate frequencies dynamical stabilization can occur rendering the effective potential of the system stable. We first study a free field theory on a torus with a time-dependent mass term, finding that the stability regions are described in terms of the phase diagram of the Mathieu equation. Using number theory we have found a compactification scheme such as to avoid resonances for all momentum modes in the theory. We further consider the gravity dual of a conformal field theory on a sphere in three spacetime dimensions, deformed by a doubletrace operator. The gravity dual of the theory with a constant unbounded potential develops big crunch singularities; we study when such singularities can be cured by dynamical stabilization. We numerically solve the Einstein-scalar equations of motion in the case of a time-dependent doubletrace deformation and find that for sufficiently high frequencies the theory is dynamically stabilized and big crunches get screened by black hole horizons.
| 11.350034
| 11.024605
| 12.540759
| 11.371987
| 11.290513
| 11.080221
| 10.994791
| 11.211986
| 11.062449
| 12.800708
| 11.07321
| 10.887161
| 11.676594
| 10.976205
| 10.987362
| 11.110396
| 10.958671
| 10.743101
| 10.780138
| 11.269472
| 10.606658
|
hep-th/9302024
| null |
Shin'ichi Nojiri and Ichiro Oda
|
Black Hole from Black Hole in Two Dimensions
|
NDA-FP-10/93, OCHA-PP-33 pp13 LATEX
| null | null | null |
hep-th
| null |
We present a new class of quantum two dimensional dilaton gravity model,
which is described by $SL(2,R)/U(1)$ gauged Wess-Zumino-Witten model deformed
by $(1,1)$-operator. We analyze the model by ${1 \over k}$ expansion ($k$ is
the level of $SL(2,R)$ Wess-Zumino-Witten model) and we find that the curvature
singularity does not appear when $k$ is large and the Bondi mass is bounded
from below. Furthermore, the rate of the Hawking radiation in the quantum black
hole created by shock wave goes to zero asymptotically and the radiation stops
when the Bondi mass vanishes.
|
[
{
"created": "Mon, 8 Feb 1993 00:03:49 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Nojiri",
"Shin'ichi",
""
],
[
"Oda",
"Ichiro",
""
]
] |
We present a new class of quantum two dimensional dilaton gravity model, which is described by $SL(2,R)/U(1)$ gauged Wess-Zumino-Witten model deformed by $(1,1)$-operator. We analyze the model by ${1 \over k}$ expansion ($k$ is the level of $SL(2,R)$ Wess-Zumino-Witten model) and we find that the curvature singularity does not appear when $k$ is large and the Bondi mass is bounded from below. Furthermore, the rate of the Hawking radiation in the quantum black hole created by shock wave goes to zero asymptotically and the radiation stops when the Bondi mass vanishes.
| 6.531842
| 5.283188
| 6.99101
| 5.583694
| 6.177435
| 5.769059
| 5.762934
| 5.36512
| 5.595167
| 7.163161
| 5.846988
| 6.08227
| 6.531129
| 5.900186
| 6.048503
| 6.025612
| 6.299674
| 6.029141
| 5.943654
| 6.470784
| 5.785359
|
hep-th/0609123
|
Vincent Bouchard
|
Vincent Bouchard
|
Toric Geometry and String Theory
|
Oxford University DPhil Thesis (Advisor: Philip Candelas), accepted
October 2005, 152 pp., 43 figures
| null | null | null |
hep-th
| null |
In this thesis we probe various interactions between toric geometry and
string theory. First, the notion of a top was introduced by Candelas and Font
as a useful tool to investigate string dualities. These objects torically
encode the local geometry of a degeneration of an elliptic fibration. We
classify all tops and give a prescription for assigning an affine, possibly
twisted Kac-Moody algebra to any such top. Tops related to twisted Kac-Moody
algebras can be used to construct string compactifications with reduced rank of
the gauge group. Secondly, we compute all loop closed and open topological
string amplitudes on orientifolds of toric Calabi-Yau threefolds, by using
geometric transitions involving SO/Sp Chern-Simons theory, localization on the
moduli space of holomorphic maps with involution, and the topological vertex.
In particular, we count Klein bottles and projective planes with any number of
handles in some Calabi-Yau orientifolds. We determine the BPS structure of the
amplitudes, and illustrate our general results in various examples with and
without D-branes. We also present an application of our results to the BPS
structure of the coloured Kauffman polynomial of knots.
This thesis is based on hep-th/0303218 (with H. Skarke), hep-th/0405083 and
hep-th/0411227 (with B. Florea and M. Marino).
|
[
{
"created": "Mon, 18 Sep 2006 15:43:02 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Bouchard",
"Vincent",
""
]
] |
In this thesis we probe various interactions between toric geometry and string theory. First, the notion of a top was introduced by Candelas and Font as a useful tool to investigate string dualities. These objects torically encode the local geometry of a degeneration of an elliptic fibration. We classify all tops and give a prescription for assigning an affine, possibly twisted Kac-Moody algebra to any such top. Tops related to twisted Kac-Moody algebras can be used to construct string compactifications with reduced rank of the gauge group. Secondly, we compute all loop closed and open topological string amplitudes on orientifolds of toric Calabi-Yau threefolds, by using geometric transitions involving SO/Sp Chern-Simons theory, localization on the moduli space of holomorphic maps with involution, and the topological vertex. In particular, we count Klein bottles and projective planes with any number of handles in some Calabi-Yau orientifolds. We determine the BPS structure of the amplitudes, and illustrate our general results in various examples with and without D-branes. We also present an application of our results to the BPS structure of the coloured Kauffman polynomial of knots. This thesis is based on hep-th/0303218 (with H. Skarke), hep-th/0405083 and hep-th/0411227 (with B. Florea and M. Marino).
| 9.359704
| 8.229446
| 11.219018
| 8.439929
| 7.838044
| 8.495423
| 8.397049
| 8.436578
| 8.139403
| 11.684204
| 8.716846
| 9.201299
| 9.624354
| 9.170453
| 9.196221
| 9.237098
| 8.991267
| 9.127223
| 9.111721
| 10.065747
| 9.135348
|
hep-th/0703138
|
Igor Kondrashuk
|
Gorazd Cvetic and Igor Kondrashuk
|
Further results for the two-loop Lcc vertex in the Landau gauge
|
29 pages, 1 figure, minor changes; three references added, one new
paragraph in Introduction added, Note Added is extended; to appear in JHEP
|
JHEP0802:023,2008
|
10.1088/1126-6708/2008/02/023
|
USM-TH-209
|
hep-th
| null |
In the previous paper hep-th/0604112 we calculated the first of the five
planar two-loop diagrams for the Lcc vertex of the general non-Abelian
Yang-Mills theory, the vertex which allows us in principle to obtain all other
vertices via the Slavnov-Taylor identity. The integrand of this first diagram
has a simple Lorentz structure. In this letter we present the result for the
second diagram, whose integrand has a complicated Lorentz structure. The
calculation is performed in the D-dimensional Euclidean position space. We
initially perform one of the two integrations in the position space and then
reduce the Lorentz structure to D-dimensional scalar single integrals. Some of
the latter are then calculated by the uniqueness method, others by the
Gegenbauer polynomial technique. The result is independent of the ultraviolet
and the infrared scale. It is expressed in terms of the squares of spacetime
intervals between points of the effective fields in the position space -- it
includes simple powers of these intervals, as well as logarithms and
polylogarithms thereof, with some of the latter appearing within the Davydychev
integral J(1,1,1). Concerning the rest of diagrams, we present the result for
the contributions correponding to third, fourth and fifth diagrams without
giving the details of calculation. The full result for the Lcc correlator of
the effective action at the planar two-loop level is written explicitly for
maximally supersymmetric Yang-Mills theory.
|
[
{
"created": "Thu, 15 Mar 2007 01:54:25 GMT",
"version": "v1"
},
{
"created": "Sun, 23 Dec 2007 01:59:52 GMT",
"version": "v2"
},
{
"created": "Thu, 31 Jan 2008 14:48:42 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Cvetic",
"Gorazd",
""
],
[
"Kondrashuk",
"Igor",
""
]
] |
In the previous paper hep-th/0604112 we calculated the first of the five planar two-loop diagrams for the Lcc vertex of the general non-Abelian Yang-Mills theory, the vertex which allows us in principle to obtain all other vertices via the Slavnov-Taylor identity. The integrand of this first diagram has a simple Lorentz structure. In this letter we present the result for the second diagram, whose integrand has a complicated Lorentz structure. The calculation is performed in the D-dimensional Euclidean position space. We initially perform one of the two integrations in the position space and then reduce the Lorentz structure to D-dimensional scalar single integrals. Some of the latter are then calculated by the uniqueness method, others by the Gegenbauer polynomial technique. The result is independent of the ultraviolet and the infrared scale. It is expressed in terms of the squares of spacetime intervals between points of the effective fields in the position space -- it includes simple powers of these intervals, as well as logarithms and polylogarithms thereof, with some of the latter appearing within the Davydychev integral J(1,1,1). Concerning the rest of diagrams, we present the result for the contributions correponding to third, fourth and fifth diagrams without giving the details of calculation. The full result for the Lcc correlator of the effective action at the planar two-loop level is written explicitly for maximally supersymmetric Yang-Mills theory.
| 10.315875
| 10.006906
| 10.730658
| 9.803981
| 10.483474
| 10.89942
| 10.60551
| 10.036115
| 10.204688
| 11.859757
| 9.609606
| 10.059783
| 10.589908
| 9.934361
| 10.028435
| 9.959931
| 10.214115
| 10.054848
| 10.022561
| 10.458684
| 9.859427
|
1307.6968
|
Shinji Tsujikawa
|
Leonardo Modesto, Shinji Tsujikawa
|
Non-local massive gravity
|
11 pages, 3 figures
|
Phys.Lett. B727 (2013) 48-56
|
10.1016/j.physletb.2013.10.037
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a general covariant action for massive gravity merging together a
class of "non-polynomial" and super-renormalizable or finite theories of
gravity with the non-local theory of gravity recently proposed by Jaccard,
Maggiore and Mitsou (Phys. Rev. D 88 (2013) 044033). Our diffeomorphism
invariant action gives rise to the equations of motion appearing in non-local
massive massive gravity plus quadratic curvature terms. Not only the massive
graviton propagator reduces smoothly to the massless one without a vDVZ
discontinuity, but also our finite theory of gravity is unitary at tree level
around the Minkowski background. We also show that, as long as the graviton
mass $m$ is much smaller the today's Hubble parameter $H_0$, a late-time cosmic
acceleration can be realized without a dark energy component due to the growth
of a scalar degree of freedom. In the presence of the cosmological constant
$\Lambda$, the dominance of the non-local mass term leads to a kind of
"degravitation" for $\Lambda$ at the late cosmological epoch.
|
[
{
"created": "Fri, 26 Jul 2013 09:24:02 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Nov 2013 08:59:29 GMT",
"version": "v2"
}
] |
2013-11-08
|
[
[
"Modesto",
"Leonardo",
""
],
[
"Tsujikawa",
"Shinji",
""
]
] |
We present a general covariant action for massive gravity merging together a class of "non-polynomial" and super-renormalizable or finite theories of gravity with the non-local theory of gravity recently proposed by Jaccard, Maggiore and Mitsou (Phys. Rev. D 88 (2013) 044033). Our diffeomorphism invariant action gives rise to the equations of motion appearing in non-local massive massive gravity plus quadratic curvature terms. Not only the massive graviton propagator reduces smoothly to the massless one without a vDVZ discontinuity, but also our finite theory of gravity is unitary at tree level around the Minkowski background. We also show that, as long as the graviton mass $m$ is much smaller the today's Hubble parameter $H_0$, a late-time cosmic acceleration can be realized without a dark energy component due to the growth of a scalar degree of freedom. In the presence of the cosmological constant $\Lambda$, the dominance of the non-local mass term leads to a kind of "degravitation" for $\Lambda$ at the late cosmological epoch.
| 8.287342
| 8.574963
| 9.083006
| 8.514827
| 8.341138
| 8.979331
| 8.463009
| 8.799554
| 9.056657
| 9.628832
| 8.40432
| 8.24225
| 8.214606
| 7.827375
| 8.297317
| 8.179612
| 8.160856
| 7.982019
| 8.22631
| 8.402727
| 8.234062
|
1012.4995
|
David Burton
|
D. A. Burton, T. Dereli, R. W. Tucker
|
Born-Infeld Axion-Dilaton Electrodynamics and Electromagnetic
Confinement
|
9 pages, 12 figures
|
Physics Letters B 703 (4), 530-535, 2011
|
10.1016/j.physletb.2011.08.039
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A generalization of Born-Infeld non-linear vacuum electrodynamics involving
axion and dilaton fields is constructed with couplings dictated by
electromagnetic duality and SL(2,R) symmetries in the weak field limit. Besides
the Newtonian gravitational constant the model contains a single fundamental
coupling parameter b0. In the absence of axion and dilaton interactions it
reduces, in the limit as b0 tends to infinity, to Maxwell's linear vacuum
theory while for finite b0 it reduces to the original Born-Infeld model. The
spherically symmetric static sector of the theory is explored in a background
Minkowski spacetime where numerical evidence suggests the existence of
axion-dilaton bound states possessing confined electric flux.
|
[
{
"created": "Wed, 22 Dec 2010 14:51:58 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Aug 2011 11:56:34 GMT",
"version": "v2"
}
] |
2013-01-21
|
[
[
"Burton",
"D. A.",
""
],
[
"Dereli",
"T.",
""
],
[
"Tucker",
"R. W.",
""
]
] |
A generalization of Born-Infeld non-linear vacuum electrodynamics involving axion and dilaton fields is constructed with couplings dictated by electromagnetic duality and SL(2,R) symmetries in the weak field limit. Besides the Newtonian gravitational constant the model contains a single fundamental coupling parameter b0. In the absence of axion and dilaton interactions it reduces, in the limit as b0 tends to infinity, to Maxwell's linear vacuum theory while for finite b0 it reduces to the original Born-Infeld model. The spherically symmetric static sector of the theory is explored in a background Minkowski spacetime where numerical evidence suggests the existence of axion-dilaton bound states possessing confined electric flux.
| 8.236652
| 8.086881
| 8.173505
| 7.9087
| 8.205683
| 9.100152
| 9.448985
| 8.279553
| 8.155889
| 8.921501
| 8.235081
| 8.137641
| 8.251043
| 7.88931
| 7.967042
| 7.934529
| 8.168184
| 7.958426
| 7.955928
| 8.487329
| 8.160733
|
1012.4004
|
Niklas Beisert
|
Niklas Beisert
|
Review of AdS/CFT Integrability, Chapter VI.1: Superconformal Symmetry
|
16 pages, see also overview article arXiv:1012.3982, v2: references
to other chapters updated, v3/v4: minor corrections and clarifications,
accepted for publication in LMP
|
Lett. Math. Phys. 99, 529 (2012)
|
10.1007/s11005-011-0479-8
|
AEI-2010-174
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Aspects of the D=4, N=4 superconformal symmetry relevant to the AdS/CFT
duality and integrability are reviewed. These include the Lie superalgebra
psu(2,2|4), its representations, conformal transformations and correlation
functions in N=4 super Yang-Mills theory as well as an illustration of the
AdS5xS5 superspace on which the dual string theory is formulated.
|
[
{
"created": "Fri, 17 Dec 2010 20:58:23 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Dec 2010 19:35:18 GMT",
"version": "v2"
},
{
"created": "Sun, 27 Feb 2011 22:45:45 GMT",
"version": "v3"
},
{
"created": "Sun, 20 Mar 2011 09:43:06 GMT",
"version": "v4"
}
] |
2015-03-17
|
[
[
"Beisert",
"Niklas",
""
]
] |
Aspects of the D=4, N=4 superconformal symmetry relevant to the AdS/CFT duality and integrability are reviewed. These include the Lie superalgebra psu(2,2|4), its representations, conformal transformations and correlation functions in N=4 super Yang-Mills theory as well as an illustration of the AdS5xS5 superspace on which the dual string theory is formulated.
| 5.566852
| 5.15478
| 6.993362
| 5.032247
| 5.196456
| 5.276723
| 5.549259
| 5.080975
| 4.922698
| 6.553922
| 4.88306
| 5.390442
| 5.210421
| 5.000008
| 5.217953
| 5.09587
| 4.947832
| 5.210888
| 5.098929
| 5.607242
| 5.213492
|
hep-th/0511282
|
Gherardo Piacitelli
|
Gherardo Piacitelli
|
DFR Perturbative Quantum Field theory on Quantum Space Time, and Wick
Reduction
|
15 pages, pdf has active hyperlinks. To appear in the proceedings of
the conference on "Rigorous quantum Field Theory", held at Saclay on July
19-21, 2004, on the occasion of Jacques Bros' 70th birthday
|
Prog.Math.251:225-238,2007
|
10.1007/978-3-7643-7434-1_16
| null |
hep-th
| null |
We discuss the perturbative approach a` la Dyson to a quantum field theory
with nonlocal self-interaction :phi*...*phi:, according to Doplicher,
Fredenhagen and Roberts (DFR). In particular, we show that the Wick reduction
of non locally time--ordered products of Wick monomials can be performed as
usual, and we discuss a very simple Dyson diagram.
|
[
{
"created": "Mon, 28 Nov 2005 17:50:09 GMT",
"version": "v1"
}
] |
2010-02-22
|
[
[
"Piacitelli",
"Gherardo",
""
]
] |
We discuss the perturbative approach a` la Dyson to a quantum field theory with nonlocal self-interaction :phi*...*phi:, according to Doplicher, Fredenhagen and Roberts (DFR). In particular, we show that the Wick reduction of non locally time--ordered products of Wick monomials can be performed as usual, and we discuss a very simple Dyson diagram.
| 20.462399
| 20.874872
| 22.516304
| 16.884905
| 21.164297
| 20.012484
| 20.470245
| 17.90152
| 16.716125
| 22.989574
| 18.400705
| 19.968435
| 18.201565
| 17.49007
| 17.595675
| 18.104424
| 19.685085
| 16.497311
| 17.34124
| 18.495443
| 18.37085
|
1707.01663
|
Michele Doronzo
|
F. Belgiorno, S.L. Cacciatori, F. Dalla Piazza and M. Doronzo
|
The Hopfield-Kerr model and analogue black hole radiation in dielectrics
|
25 pages, 4 figures
|
Phys. Rev. D 96, 096024 (2017)
|
10.1103/PhysRevD.96.096024
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the context of the interaction between the electromagnetic field and a
dielectric dispersive lossless medium, we present a non-linear version of the
relativistically covariant Hopfield model, which is suitable for the
description of a dielectric Kerr perturbation propagating in a dielectric
medium. The non-linearity is introduced in the Lagrangian through a
self-interacting term proportional to the fourth power of the polarization
field. We find an exact solution for the nonlinear equations describing a
propagating perturbation in the dielectric medium. Furthermore the presence of
an analogue Hawking effect, as well as the thermal properties of the model, are
discussed, confirming and improving the results achieved in the scalar case.
|
[
{
"created": "Thu, 6 Jul 2017 07:39:30 GMT",
"version": "v1"
}
] |
2017-12-06
|
[
[
"Belgiorno",
"F.",
""
],
[
"Cacciatori",
"S. L.",
""
],
[
"Piazza",
"F. Dalla",
""
],
[
"Doronzo",
"M.",
""
]
] |
In the context of the interaction between the electromagnetic field and a dielectric dispersive lossless medium, we present a non-linear version of the relativistically covariant Hopfield model, which is suitable for the description of a dielectric Kerr perturbation propagating in a dielectric medium. The non-linearity is introduced in the Lagrangian through a self-interacting term proportional to the fourth power of the polarization field. We find an exact solution for the nonlinear equations describing a propagating perturbation in the dielectric medium. Furthermore the presence of an analogue Hawking effect, as well as the thermal properties of the model, are discussed, confirming and improving the results achieved in the scalar case.
| 9.563351
| 10.82173
| 9.066117
| 9.423295
| 10.489347
| 9.281995
| 10.072745
| 8.721851
| 9.139341
| 10.013752
| 8.9636
| 9.105336
| 8.618268
| 8.564214
| 8.567715
| 8.759053
| 9.091496
| 8.580765
| 8.926277
| 8.591672
| 9.100113
|
hep-th/0307225
|
Wu Ning
|
Ning Wu
|
Gravitational Shielding Effects in Gauge Theory of Gravity
|
13 pages, no figure
|
Commun.Theor.Phys.41:567-572,2004
|
10.1088/0253-6102/41/4/567
| null |
hep-th gr-qc
| null |
In 1992, E.E.Podkletnov and R.Nieminen find that, under certain conditions,
ceramic superconductor with composite structure has revealed weak shielding
properties against gravitational force. In classical Newton's theory of gravity
and even in Einstein's general theory of gravity, there are no grounds of
gravitational shielding effects. But in quantum gauge theory of gravity, the
gravitational shielding effects can be explained in a simple and natural way.
In quantum gauge theory of gravity, gravitational gauge interactions of complex
scalar field can be formulated based on gauge principle. After spontaneous
symmetry breaking, if the vacuum of the complex scalar field is not stable and
uniform, there will be a mass term of gravitational gauge field. When
gravitational gauge field propagates in this unstable vacuum of the complex
scalar field, it will decays exponentially, which is the nature of
gravitational shielding effects. The mechanism of gravitational shielding
effects is studied in this paper, and some main properties of gravitational
shielding effects are discussed.
|
[
{
"created": "Wed, 23 Jul 2003 03:47:22 GMT",
"version": "v1"
}
] |
2018-01-17
|
[
[
"Wu",
"Ning",
""
]
] |
In 1992, E.E.Podkletnov and R.Nieminen find that, under certain conditions, ceramic superconductor with composite structure has revealed weak shielding properties against gravitational force. In classical Newton's theory of gravity and even in Einstein's general theory of gravity, there are no grounds of gravitational shielding effects. But in quantum gauge theory of gravity, the gravitational shielding effects can be explained in a simple and natural way. In quantum gauge theory of gravity, gravitational gauge interactions of complex scalar field can be formulated based on gauge principle. After spontaneous symmetry breaking, if the vacuum of the complex scalar field is not stable and uniform, there will be a mass term of gravitational gauge field. When gravitational gauge field propagates in this unstable vacuum of the complex scalar field, it will decays exponentially, which is the nature of gravitational shielding effects. The mechanism of gravitational shielding effects is studied in this paper, and some main properties of gravitational shielding effects are discussed.
| 9.64137
| 10.827458
| 9.940916
| 10.366609
| 10.184914
| 10.757827
| 11.199525
| 10.558022
| 11.415195
| 12.608025
| 10.24979
| 9.91958
| 9.352285
| 9.221889
| 9.871331
| 9.239804
| 9.453154
| 9.443983
| 9.389109
| 9.238569
| 9.433716
|
1301.0385
|
Yi Yang
|
Song He, Shang-Yu Wu, Yi Yang and Pei-Hung Yuan
|
Phase Structure in a Dynamical Soft-Wall Holographic QCD Model
|
18 pages, 15 figures
| null |
10.1007/JHEP04(2013)093
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the Einstein-Maxwell-dilaton system with an arbitrary kinetic
gauge function and a dilaton potential. A family of analytic solutions is
obtained by the potential reconstruction method. We then study its holographic
dual QCD model. The kinetic gauge function can be fixed by requesting the
linear Regge spectrum of mesons. We calculate the free energy to obtain the
phase diagram of the holographic QCD model and interpret our result as the
heavy quarks system by comparing the recent lattice QCD simulation. We finally
obtain the equations of state in our model.
|
[
{
"created": "Thu, 3 Jan 2013 07:44:46 GMT",
"version": "v1"
}
] |
2015-06-12
|
[
[
"He",
"Song",
""
],
[
"Wu",
"Shang-Yu",
""
],
[
"Yang",
"Yi",
""
],
[
"Yuan",
"Pei-Hung",
""
]
] |
We consider the Einstein-Maxwell-dilaton system with an arbitrary kinetic gauge function and a dilaton potential. A family of analytic solutions is obtained by the potential reconstruction method. We then study its holographic dual QCD model. The kinetic gauge function can be fixed by requesting the linear Regge spectrum of mesons. We calculate the free energy to obtain the phase diagram of the holographic QCD model and interpret our result as the heavy quarks system by comparing the recent lattice QCD simulation. We finally obtain the equations of state in our model.
| 12.655344
| 8.392319
| 11.672252
| 9.676581
| 9.312038
| 9.499816
| 8.801713
| 9.495541
| 9.388983
| 13.678557
| 9.3712
| 11.216704
| 12.075871
| 11.806187
| 11.054921
| 10.88042
| 10.910228
| 11.137547
| 11.399261
| 12.044469
| 11.44389
|
2403.16574
|
Claudio Gambino
|
Claudio Gambino, Paolo Pani and Fabio Riccioni
|
Rotating metrics and new multipole moments from scattering amplitudes in
arbitrary dimensions
|
52 pages, Mathematica notebook attached, references added in v2, a
note in the conclusions has been added in v2, typos corrected in v3
| null | null | null |
hep-th gr-qc hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We compute the vacuum metric generated by a generic rotating object in
arbitrary dimensions up to third post-Minkowskian order by computing the
classical contribution of scattering amplitudes describing the graviton
emission by massive spin-1 particles up to two loops. The solution depends on
the mass, angular momenta, and on up to two parameters related to generic
quadrupole moments. In $D=4$ spacetime dimensions, we recover the vacuum
Hartle-Thorne solution describing a generic spinning object to second order in
the angular momentum, of which the Kerr metric is a particular case obtained
for a specific mass quadrupole moment dictated by the uniqueness theorem. At
the level of the effective action, the case of minimal couplings corresponds to
the Kerr black hole, while any other mass quadrupole moment requires
non-minimal couplings. In $D>4$, the absence of black-hole uniqueness theorems
implies that there are multiple spinning black hole solutions with different
topology. Using scattering amplitudes, we find a generic solution depending on
the mass, angular momenta, the mass quadrupole moment, and a new stress
quadrupole moment which does not exist in $D=4$. As special cases, we recover
the Myers-Perry and the single-angular-momentum black ring solutions, to third
and first post-Minkowksian order, respectively. Interestingly, at variance with
the four dimensional case, none of these solutions corresponds to the minimal
coupling in the effective action. This shows that, from the point of view of
scattering amplitudes, black holes are the "simplest" General Relativity vacuum
solutions only in $D=4$.
|
[
{
"created": "Mon, 25 Mar 2024 09:40:21 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Jun 2024 11:22:49 GMT",
"version": "v2"
},
{
"created": "Fri, 28 Jun 2024 08:49:20 GMT",
"version": "v3"
}
] |
2024-07-01
|
[
[
"Gambino",
"Claudio",
""
],
[
"Pani",
"Paolo",
""
],
[
"Riccioni",
"Fabio",
""
]
] |
We compute the vacuum metric generated by a generic rotating object in arbitrary dimensions up to third post-Minkowskian order by computing the classical contribution of scattering amplitudes describing the graviton emission by massive spin-1 particles up to two loops. The solution depends on the mass, angular momenta, and on up to two parameters related to generic quadrupole moments. In $D=4$ spacetime dimensions, we recover the vacuum Hartle-Thorne solution describing a generic spinning object to second order in the angular momentum, of which the Kerr metric is a particular case obtained for a specific mass quadrupole moment dictated by the uniqueness theorem. At the level of the effective action, the case of minimal couplings corresponds to the Kerr black hole, while any other mass quadrupole moment requires non-minimal couplings. In $D>4$, the absence of black-hole uniqueness theorems implies that there are multiple spinning black hole solutions with different topology. Using scattering amplitudes, we find a generic solution depending on the mass, angular momenta, the mass quadrupole moment, and a new stress quadrupole moment which does not exist in $D=4$. As special cases, we recover the Myers-Perry and the single-angular-momentum black ring solutions, to third and first post-Minkowksian order, respectively. Interestingly, at variance with the four dimensional case, none of these solutions corresponds to the minimal coupling in the effective action. This shows that, from the point of view of scattering amplitudes, black holes are the "simplest" General Relativity vacuum solutions only in $D=4$.
| 7.034128
| 7.366414
| 6.883314
| 6.711924
| 7.473423
| 7.27391
| 7.532984
| 7.078429
| 7.123451
| 7.344738
| 7.045936
| 7.04595
| 7.071154
| 6.847579
| 6.897305
| 7.102082
| 7.030311
| 6.739295
| 6.943379
| 7.230499
| 6.981673
|
hep-th/9210054
|
Bo-Sture Skagerstam
|
Bo-Sture K Skagerstam
|
Localization of Massless Spinning Particles and the Berry Phase
|
22 pages, ITP 92-09, LaTeX
| null | null | null |
hep-th
| null |
The components of the position operator, at a fixed time, for a massless and
spinning particle with given helicity $\lambda$ described in terms of bosonic
degrees of freedom have an anomalous commutator proportional to $\lambda$. The
position operator generates translations in momentum space. We show that a
ray-representation for these translations emerges due to the non-commuting
components of the position operators and relate this to the Berry-phase for
photons. The Tomita-Chiao experiment then gives support for this relativistic
and quantum mechanical description of photons in terms of non-commuting
position operators.
|
[
{
"created": "Fri, 9 Oct 1992 12:42:29 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Skagerstam",
"Bo-Sture K",
""
]
] |
The components of the position operator, at a fixed time, for a massless and spinning particle with given helicity $\lambda$ described in terms of bosonic degrees of freedom have an anomalous commutator proportional to $\lambda$. The position operator generates translations in momentum space. We show that a ray-representation for these translations emerges due to the non-commuting components of the position operators and relate this to the Berry-phase for photons. The Tomita-Chiao experiment then gives support for this relativistic and quantum mechanical description of photons in terms of non-commuting position operators.
| 18.111042
| 18.836357
| 16.938108
| 16.537916
| 17.392296
| 18.606283
| 15.523923
| 16.048183
| 17.173702
| 19.372593
| 16.201658
| 16.315266
| 16.620058
| 16.09568
| 16.760429
| 17.322309
| 16.594896
| 16.390509
| 16.294184
| 16.822859
| 16.421444
|
hep-th/0012155
|
Steven S. Gubser
|
Steven S. Gubser and Mukund Rangamani (Princeton University)
|
D-brane Dynamics and the Quantum Hall Effect
|
13 pages, latex, two figures. v2: Corrected cyclotron gap makes
quantum Hall ground state more likely
|
JHEP 0105:041,2001
|
10.1088/1126-6708/2001/05/041
|
PUPT-1973
|
hep-th
| null |
We study the recently proposed D-brane configuration [hep-th/0010105]
modeling the quantum Hall effect, focusing on the nature of the interactions
between the charged particles. Our analysis indicates that the interaction is
repulsive, which it should be for the ground state of the system to behave as a
quantum Hall liquid. The strength of interactions varies inversely with the
filling fraction, leading us to conclude that a Wigner crystal is the ground
state at small nu. For larger rational nu (still less than unity), it is
reasonable to expect a fractional quantum Hall ground state.
|
[
{
"created": "Mon, 18 Dec 2000 20:39:46 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Dec 2000 01:56:32 GMT",
"version": "v2"
}
] |
2010-02-03
|
[
[
"Gubser",
"Steven S.",
"",
"Princeton University"
],
[
"Rangamani",
"Mukund",
"",
"Princeton University"
]
] |
We study the recently proposed D-brane configuration [hep-th/0010105] modeling the quantum Hall effect, focusing on the nature of the interactions between the charged particles. Our analysis indicates that the interaction is repulsive, which it should be for the ground state of the system to behave as a quantum Hall liquid. The strength of interactions varies inversely with the filling fraction, leading us to conclude that a Wigner crystal is the ground state at small nu. For larger rational nu (still less than unity), it is reasonable to expect a fractional quantum Hall ground state.
| 9.636346
| 9.82882
| 9.741237
| 9.975923
| 9.719319
| 10.067634
| 10.35947
| 9.915521
| 8.80667
| 11.205732
| 9.058008
| 9.407274
| 10.426688
| 9.2192
| 9.380449
| 9.297263
| 9.462192
| 9.263491
| 8.997964
| 10.461215
| 9.258995
|
1012.0971
|
Bobby Eka Gunara
|
Bobby E. Gunara, Freddy P. Zen, Fiki T. Akbar, Agus Suroso, and
Arianto
|
Some Aspects of Spherical Symmetric Extremal Dyonic Black Holes in 4d
N=1 Supergravity
|
17 pages, no figure. Added an author. Major revision: typos and
grammar corrected, some statements modified, added a section about local
existence of scalar fields. Accepted for publication in Int J Mod Phys A
|
Int. J. Mod. Phys. A28:1350084, 2013
|
10.1142/S0217751X1350084X
| null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we study several aspects of extremal spherical symmetric black
hole solutions of four dimensional N=1 supergravity coupled to vector and
chiral multiplets with the scalar potential turned on. In the asymptotic region
the complex scalars are fixed and regular which can be viewed as the critical
points of the black hole and the scalar potentials with vanishing scalar
charges. It follows that the asymptotic geometries are of a constant and
non-zero scalar curvature which are generally not Einstein. These spaces could
also correspond to the near horizon geometries which are the product spaces of
a two anti-de Sitter surface and the two sphere if the value of the scalars in
both regions coincides. In addition, we prove the local existence of
non-trivial radius dependent complex scalar fields which interpolate between
the horizon and the asymptotic region. We finally give some simple
${\lC}^{n}$-models with both linear superpotential and gauge couplings.
|
[
{
"created": "Sun, 5 Dec 2010 04:42:07 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Jun 2013 14:12:40 GMT",
"version": "v2"
}
] |
2013-07-26
|
[
[
"Gunara",
"Bobby E.",
""
],
[
"Zen",
"Freddy P.",
""
],
[
"Akbar",
"Fiki T.",
""
],
[
"Suroso",
"Agus",
""
],
[
"Arianto",
"",
""
]
] |
In this paper we study several aspects of extremal spherical symmetric black hole solutions of four dimensional N=1 supergravity coupled to vector and chiral multiplets with the scalar potential turned on. In the asymptotic region the complex scalars are fixed and regular which can be viewed as the critical points of the black hole and the scalar potentials with vanishing scalar charges. It follows that the asymptotic geometries are of a constant and non-zero scalar curvature which are generally not Einstein. These spaces could also correspond to the near horizon geometries which are the product spaces of a two anti-de Sitter surface and the two sphere if the value of the scalars in both regions coincides. In addition, we prove the local existence of non-trivial radius dependent complex scalar fields which interpolate between the horizon and the asymptotic region. We finally give some simple ${\lC}^{n}$-models with both linear superpotential and gauge couplings.
| 14.36337
| 14.279545
| 15.699849
| 13.074024
| 14.384072
| 14.856616
| 14.125752
| 14.000969
| 13.828753
| 16.530245
| 13.634992
| 13.537577
| 13.566786
| 12.868009
| 13.108408
| 13.275183
| 13.703555
| 13.273017
| 13.109112
| 13.558106
| 13.254519
|
hep-th/9905049
|
Leonardo Rastelli
|
Eric D'Hoker, Daniel Z. Freedman, Leonardo Rastelli
|
AdS/CFT 4-point functions: How to succeed at z-integrals without really
trying
|
18 pages, 1 figure
|
Nucl.Phys.B562:395-411,1999
|
10.1016/S0550-3213(99)00526-X
| null |
hep-th
| null |
A new method is discussed which vastly simplifies one of the two integrals
over AdS(d+1) required to compute exchange graphs for 4-point functions of
scalars in the AdS/CFT correspondence. The explicit form of the bulk-to-bulk
propagator is not required. Previous results for scalar, gauge boson and
graviton exchange are reproduced, and new results are given for massive
vectors. It is found that precisely for the cases that occur in the AdS(5) X
S(5) compactification of Type IIB supergravity, the exchange diagrams reduce to
a finite sum of graphs with quartic scalar vertices. The analogous integrals in
n-point scalar diagrams for n>4 are also evaluated.
|
[
{
"created": "Thu, 6 May 1999 21:41:10 GMT",
"version": "v1"
}
] |
2009-10-08
|
[
[
"D'Hoker",
"Eric",
""
],
[
"Freedman",
"Daniel Z.",
""
],
[
"Rastelli",
"Leonardo",
""
]
] |
A new method is discussed which vastly simplifies one of the two integrals over AdS(d+1) required to compute exchange graphs for 4-point functions of scalars in the AdS/CFT correspondence. The explicit form of the bulk-to-bulk propagator is not required. Previous results for scalar, gauge boson and graviton exchange are reproduced, and new results are given for massive vectors. It is found that precisely for the cases that occur in the AdS(5) X S(5) compactification of Type IIB supergravity, the exchange diagrams reduce to a finite sum of graphs with quartic scalar vertices. The analogous integrals in n-point scalar diagrams for n>4 are also evaluated.
| 9.208396
| 9.603012
| 11.036922
| 8.851077
| 9.337162
| 9.24544
| 9.192121
| 9.211786
| 8.669394
| 10.15438
| 9.003937
| 8.800687
| 9.315993
| 8.55193
| 8.593851
| 8.682456
| 8.447195
| 8.63702
| 8.477834
| 9.132121
| 8.530564
|
hep-th/9603040
|
Niclas Wyllard
|
Niclas Wyllard
|
Generalized Toda Theories from WZNW Reduction
|
18 pages, Plain LaTeX
|
Mod.Phys.Lett. A12 (1997) 95-110
|
10.1142/S0217732397000091
|
ITP 96-2
|
hep-th
| null |
We reconsider the, by Brink and Vasiliev, recently proposed generalized Toda
field theories using the framework of WZNW$\rightarrow$Toda reduction. The
reduced theory has a gauge symmetry which can be fixed in various ways. We
discuss some different gauge choices. In particular we study the ${\cal W}$
algebra associated with the generalized model in some different realizations,
corresponding to different gauge choices. We also investigate the mapping
between the Toda field and a free field and show the relation between the
${\cal W}$ algebra generators expressed in terms of the two different fields.
All results apply also to the case of ordinary Toda theories.
|
[
{
"created": "Thu, 7 Mar 1996 16:47:55 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Wyllard",
"Niclas",
""
]
] |
We reconsider the, by Brink and Vasiliev, recently proposed generalized Toda field theories using the framework of WZNW$\rightarrow$Toda reduction. The reduced theory has a gauge symmetry which can be fixed in various ways. We discuss some different gauge choices. In particular we study the ${\cal W}$ algebra associated with the generalized model in some different realizations, corresponding to different gauge choices. We also investigate the mapping between the Toda field and a free field and show the relation between the ${\cal W}$ algebra generators expressed in terms of the two different fields. All results apply also to the case of ordinary Toda theories.
| 11.684575
| 9.965112
| 11.843553
| 10.222956
| 10.964976
| 10.826279
| 10.52084
| 10.053455
| 10.28046
| 13.722795
| 10.496592
| 10.720733
| 11.125006
| 10.102739
| 10.398643
| 10.438757
| 10.365254
| 10.172994
| 10.703065
| 10.497117
| 10.578649
|
2304.13052
|
Temple He
|
Clifford Cheung, Temple He, Allic Sivaramakrishnan
|
On Entropy Growth in Perturbative Scattering
|
6 pages; v2: Minor typos corrected, version to appear in PRD
| null |
10.1103/PhysRevD.108.045013
|
CALT-TH 2023-009
|
hep-th hep-ph quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Inspired by the second law of thermodynamics, we study the change in
subsystem entropy generated by dynamical unitary evolution of a product state
in a bipartite system. Working at leading order in perturbative interactions,
we prove that the quantum $n$-Tsallis entropy of a subsystem never decreases,
$\Delta S_n \geq 0$, provided that subsystem is initialized as a statistical
mixture of states of equal probability. This is true for any choice of
interactions and any initialization of the complementary subsystem. When this
condition on the initial state is violated, it is always possible to explicitly
construct a "Maxwell's demon" process that decreases the subsystem entropy,
$\Delta S_n < 0$. Remarkably, for the case of particle scattering, the circuit
diagrams corresponding to $n$-Tsallis entropy are the same as the on-shell
diagrams that have appeared in the modern scattering amplitudes program, and
$\Delta S_n \geq 0$ is intimately related to the nonnegativity of
cross-sections.
|
[
{
"created": "Tue, 25 Apr 2023 18:00:01 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Aug 2023 17:57:57 GMT",
"version": "v2"
}
] |
2023-08-21
|
[
[
"Cheung",
"Clifford",
""
],
[
"He",
"Temple",
""
],
[
"Sivaramakrishnan",
"Allic",
""
]
] |
Inspired by the second law of thermodynamics, we study the change in subsystem entropy generated by dynamical unitary evolution of a product state in a bipartite system. Working at leading order in perturbative interactions, we prove that the quantum $n$-Tsallis entropy of a subsystem never decreases, $\Delta S_n \geq 0$, provided that subsystem is initialized as a statistical mixture of states of equal probability. This is true for any choice of interactions and any initialization of the complementary subsystem. When this condition on the initial state is violated, it is always possible to explicitly construct a "Maxwell's demon" process that decreases the subsystem entropy, $\Delta S_n < 0$. Remarkably, for the case of particle scattering, the circuit diagrams corresponding to $n$-Tsallis entropy are the same as the on-shell diagrams that have appeared in the modern scattering amplitudes program, and $\Delta S_n \geq 0$ is intimately related to the nonnegativity of cross-sections.
| 7.838487
| 8.137982
| 9.082501
| 7.905067
| 7.321097
| 7.741621
| 7.891219
| 7.925718
| 7.424792
| 8.560212
| 7.342487
| 7.101709
| 7.372711
| 7.413206
| 7.510313
| 7.587637
| 7.353858
| 7.100642
| 7.309626
| 7.733288
| 7.311027
|
1810.01677
|
Robertus Potting
|
C. A. Escobar and R. Potting
|
Nonlinear vacuum electrodynamics and spontaneous breaking of Lorentz
symmetry
| null | null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study nonlinear vacuum electrodynamics in a first-order formulation
proposed by Pleba\'nski. By applying a Dirac constraint analysis, we derive an
effective Hamiltonian, together with the equations of motion. We show that
there exists a large class of potentials for which the effective Hamiltonian is
bounded from below, while at the same time possessing stationary points in
which the field strength acquires a nonzero vacuum expectation value. The
associated spontaneous breaking of Lorentz symmetry can in principle be
detected by coupling the model to a suitable external current, or to gravity.
We show that the possible vacua can be classified in four classes. We study
some of their properties, using explicit examples for illustration.
|
[
{
"created": "Wed, 3 Oct 2018 10:39:16 GMT",
"version": "v1"
},
{
"created": "Sun, 5 Apr 2020 15:53:14 GMT",
"version": "v2"
}
] |
2020-04-07
|
[
[
"Escobar",
"C. A.",
""
],
[
"Potting",
"R.",
""
]
] |
We study nonlinear vacuum electrodynamics in a first-order formulation proposed by Pleba\'nski. By applying a Dirac constraint analysis, we derive an effective Hamiltonian, together with the equations of motion. We show that there exists a large class of potentials for which the effective Hamiltonian is bounded from below, while at the same time possessing stationary points in which the field strength acquires a nonzero vacuum expectation value. The associated spontaneous breaking of Lorentz symmetry can in principle be detected by coupling the model to a suitable external current, or to gravity. We show that the possible vacua can be classified in four classes. We study some of their properties, using explicit examples for illustration.
| 8.585555
| 8.232186
| 8.885383
| 7.594515
| 8.423015
| 7.91581
| 9.320771
| 8.134363
| 8.719106
| 9.190593
| 8.131214
| 8.183489
| 8.419638
| 8.165285
| 8.206035
| 8.221919
| 7.953238
| 8.149411
| 8.095231
| 8.563337
| 8.081491
|
hep-th/9412126
| null |
T. Gannon, C. Jakovljevic, M.A. Walton
|
Lie group weight multiplicities from conformal field theory
|
12 pages, Plain TeX, no figures
|
J.Phys. A28 (1995) 2617-2626
|
10.1088/0305-4470/28/9/020
|
none
|
hep-th
| null |
Dominant weight multiplicities of simple Lie groups are expressed in terms of
the modular matrices of Wess-Zumino-Witten conformal field theories, and
related objects. Symmetries of the modular matrices give rise to new relations
among multiplicities. At least for some Lie groups, these new relations are
strong enough to completely fix all multiplicities.
|
[
{
"created": "Wed, 14 Dec 1994 20:58:36 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Gannon",
"T.",
""
],
[
"Jakovljevic",
"C.",
""
],
[
"Walton",
"M. A.",
""
]
] |
Dominant weight multiplicities of simple Lie groups are expressed in terms of the modular matrices of Wess-Zumino-Witten conformal field theories, and related objects. Symmetries of the modular matrices give rise to new relations among multiplicities. At least for some Lie groups, these new relations are strong enough to completely fix all multiplicities.
| 10.288373
| 9.130175
| 10.052424
| 8.351833
| 8.909416
| 8.90711
| 8.072422
| 9.688657
| 8.770006
| 10.761754
| 8.347961
| 8.023877
| 8.924472
| 8.158196
| 8.418716
| 8.385076
| 7.700477
| 8.06515
| 8.135009
| 9.443019
| 8.14194
|
1511.06358
|
Micha{\l} Spali\'nski
|
In\^es Aniceto and Micha{\l} Spali\'nski
|
Resurgence in Extended Hydrodynamics
|
Small improvements; additional references; version to appear in
Physical Review D
|
Phys. Rev. D 93, 085008 (2016)
|
10.1103/PhysRevD.93.085008
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It has recently been understood that the hydrodynamic series generated by the
M\"uller-Israel-Stewart theory is divergent, and that this large order
behaviour is consistent with the theory of resurgence. Furthermore, it was
observed, that the physical origin of this is the presence of a purely damped
nonhydrodynamic mode. It is very interesting to ask whether this picture
persists in cases where the spectrum of nonhydrodynamic modes is richer. We
take the first step in this direction by considering the simplest hydrodynamic
theory which, instead of the purely damped mode, contains a pair of
nonhydrodynamic modes of complex conjugate frequencies. This mimics the pattern
of black brane quasinormal modes which appear on the gravity side of the
AdS/CFT description of \symm\ plasma. We find that the resulting hydrodynamic
series is divergent in a way consistent with resurgence and precisely encodes
information about the nonhydrodynamic modes of the theory.
|
[
{
"created": "Thu, 19 Nov 2015 20:54:13 GMT",
"version": "v1"
},
{
"created": "Sat, 26 Mar 2016 15:42:35 GMT",
"version": "v2"
}
] |
2016-04-13
|
[
[
"Aniceto",
"Inês",
""
],
[
"Spaliński",
"Michał",
""
]
] |
It has recently been understood that the hydrodynamic series generated by the M\"uller-Israel-Stewart theory is divergent, and that this large order behaviour is consistent with the theory of resurgence. Furthermore, it was observed, that the physical origin of this is the presence of a purely damped nonhydrodynamic mode. It is very interesting to ask whether this picture persists in cases where the spectrum of nonhydrodynamic modes is richer. We take the first step in this direction by considering the simplest hydrodynamic theory which, instead of the purely damped mode, contains a pair of nonhydrodynamic modes of complex conjugate frequencies. This mimics the pattern of black brane quasinormal modes which appear on the gravity side of the AdS/CFT description of \symm\ plasma. We find that the resulting hydrodynamic series is divergent in a way consistent with resurgence and precisely encodes information about the nonhydrodynamic modes of the theory.
| 8.815237
| 8.148937
| 8.976338
| 7.748865
| 9.228396
| 9.100076
| 8.841581
| 8.0032
| 7.888685
| 9.116628
| 7.642172
| 7.857025
| 8.474684
| 8.143264
| 8.228281
| 8.464256
| 8.229817
| 8.17174
| 8.072224
| 8.002908
| 7.691819
|
1412.5472
|
Mukund Rangamani
|
Jyotirmoy Bhattacharya, Veronika E. Hubeny, Mukund Rangamani, Tadashi
Takayanagi
|
Entanglement density and gravitational thermodynamics
|
6 pages, 3 figures. v2: added refs. v3: minor clarifications and
fixed typos
|
Phys. Rev. D 91, 106009 (2015)
|
10.1103/PhysRevD.91.106009
|
DCPT-14/77, YITP-104,PMU14-0359
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In an attempt to find a quasi-local measure of quantum entanglement, we
introduce the concept of entanglement density in relativistic quantum theories.
This density is defined in terms of infinitesimal variations of the region
whose entanglement we monitor, and in certain cases can be mapped to the
variations of the generating points of the associated domain of dependence. We
argue that strong sub-additivity constrains the entanglement density to be
positive semi-definite. Examining this density in the holographic context, we
map its positivity to a statement of integrated null energy condition in the
gravity dual. We further speculate that this may be mapped to a statement
analogous to the second law of black hole thermodynamics, for the extremal
surface.
|
[
{
"created": "Wed, 17 Dec 2014 16:41:23 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Dec 2014 09:06:25 GMT",
"version": "v2"
},
{
"created": "Wed, 11 Feb 2015 20:15:14 GMT",
"version": "v3"
}
] |
2015-05-27
|
[
[
"Bhattacharya",
"Jyotirmoy",
""
],
[
"Hubeny",
"Veronika E.",
""
],
[
"Rangamani",
"Mukund",
""
],
[
"Takayanagi",
"Tadashi",
""
]
] |
In an attempt to find a quasi-local measure of quantum entanglement, we introduce the concept of entanglement density in relativistic quantum theories. This density is defined in terms of infinitesimal variations of the region whose entanglement we monitor, and in certain cases can be mapped to the variations of the generating points of the associated domain of dependence. We argue that strong sub-additivity constrains the entanglement density to be positive semi-definite. Examining this density in the holographic context, we map its positivity to a statement of integrated null energy condition in the gravity dual. We further speculate that this may be mapped to a statement analogous to the second law of black hole thermodynamics, for the extremal surface.
| 10.266163
| 9.457225
| 10.611679
| 8.666501
| 9.080731
| 9.804256
| 9.508617
| 9.735774
| 10.165346
| 10.217203
| 9.574107
| 8.95521
| 9.704327
| 9.354959
| 9.575367
| 9.712247
| 9.463421
| 9.379244
| 9.095373
| 10.088196
| 9.168626
|
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