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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1005.4527
|
Hossein Yavartanoo
|
Eoin \'O Colg\'ain, Jun-Bao Wu and Hossein Yavartanoo
|
Supersymmetric AdS3 X S2 M-theory geometries with fluxes
|
32 pages, minor corrections
|
JHEP 1008:114,2010
|
10.1007/JHEP08(2010)114
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Motivated by a recent observation that the LLM geometries admit 1/4-BPS
M5-brane probes with worldvolume AdS3 X \Sigma_2 X S1 preserving the
R-symmetry, we initiate a classification of the most general AdS3 X S2
geometries in M-theory. We retain all field strengths consistent with symmetry
and derive the torsion conditions for M_6 in terms of two linearly independent
spinors. Surprisingly, we identify three Killing directions for M_6, but only
two of these generate isometries of the overall ansatz. We show that the
existence of this third direction depends on the norm of the spinors. Then,
specialising to the case where the spinors define an SU(2)-structure and the
class of solutions is 1/4-BPS, we note that supersymmetry dictates that all
magnetic fluxes necessarily thread the S2. Finally, by assuming that the two
remaining Killing directions are parallel and aligned with one of the two
vectors defining the SU(2)-structure, we derive a general relationship for the
two spinors before extracting a known class of solutions from the torsion
conditions.
|
[
{
"created": "Tue, 25 May 2010 10:31:02 GMT",
"version": "v1"
},
{
"created": "Wed, 26 May 2010 08:54:01 GMT",
"version": "v2"
},
{
"created": "Fri, 3 Sep 2010 07:32:28 GMT",
"version": "v3"
}
] |
2010-09-06
|
[
[
"Colgáin",
"Eoin Ó",
""
],
[
"Wu",
"Jun-Bao",
""
],
[
"Yavartanoo",
"Hossein",
""
]
] |
Motivated by a recent observation that the LLM geometries admit 1/4-BPS M5-brane probes with worldvolume AdS3 X \Sigma_2 X S1 preserving the R-symmetry, we initiate a classification of the most general AdS3 X S2 geometries in M-theory. We retain all field strengths consistent with symmetry and derive the torsion conditions for M_6 in terms of two linearly independent spinors. Surprisingly, we identify three Killing directions for M_6, but only two of these generate isometries of the overall ansatz. We show that the existence of this third direction depends on the norm of the spinors. Then, specialising to the case where the spinors define an SU(2)-structure and the class of solutions is 1/4-BPS, we note that supersymmetry dictates that all magnetic fluxes necessarily thread the S2. Finally, by assuming that the two remaining Killing directions are parallel and aligned with one of the two vectors defining the SU(2)-structure, we derive a general relationship for the two spinors before extracting a known class of solutions from the torsion conditions.
| 10.832228
| 10.643445
| 11.846068
| 10.412062
| 11.354503
| 10.893296
| 11.259505
| 10.592546
| 10.132538
| 12.117481
| 10.854375
| 9.976752
| 11.071902
| 10.635526
| 10.582068
| 10.37359
| 10.365981
| 10.372001
| 10.516115
| 11.041698
| 10.321229
|
hep-th/0509154
|
Jos\'e Manuel S\'anchez Loureda
|
Jos\'e S\'anchez Loureda and Douglas J. Smith
|
Four-dimensional SYM probes in wrapped M5-brane backgrounds
|
50 pages, 1 figure; typos corrected, references added
|
JHEP 0606:059,2006
|
10.1088/1126-6708/2006/06/059
|
DCPT-05/43
|
hep-th
| null |
We study the worldvolume supersymmetric gauge theory of M-branes probing
backgrounds corresponding to wrapped M5-branes. In the case of M5-branes
wrapping a 2-cycle in two-dimensional complex space, we use M2-brane probes to
compute the BPS spectra of the corresponding N=2 gauge theory as well as
M5-brane probes to calculate field theory parameters such as the gauge
coupling, theta angle and complex scalar moduli space metric. This background
describes a large class of Hanany-Witten type models when dimensionally reduced
to Type IIA 10d string theory. We calculate the instanton action using a
D0-brane probe in this limit. For the case of M5-branes wrapping a 2-cycle in
three-dimensional complex space, we firstly show an alternative method to
derive this solution involving the projection conditions and certain spinor
bilinear differential equations. We also consider M5-brane probes of this
background, and analyse the corresponding N=1 MQCD gauge theory parameters. In
general there were no supergravity corrections to field theory parameters when
compared to previous flat-space field theory analysis.
|
[
{
"created": "Tue, 20 Sep 2005 17:50:20 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Dec 2005 16:33:31 GMT",
"version": "v2"
}
] |
2010-02-03
|
[
[
"Loureda",
"José Sánchez",
""
],
[
"Smith",
"Douglas J.",
""
]
] |
We study the worldvolume supersymmetric gauge theory of M-branes probing backgrounds corresponding to wrapped M5-branes. In the case of M5-branes wrapping a 2-cycle in two-dimensional complex space, we use M2-brane probes to compute the BPS spectra of the corresponding N=2 gauge theory as well as M5-brane probes to calculate field theory parameters such as the gauge coupling, theta angle and complex scalar moduli space metric. This background describes a large class of Hanany-Witten type models when dimensionally reduced to Type IIA 10d string theory. We calculate the instanton action using a D0-brane probe in this limit. For the case of M5-branes wrapping a 2-cycle in three-dimensional complex space, we firstly show an alternative method to derive this solution involving the projection conditions and certain spinor bilinear differential equations. We also consider M5-brane probes of this background, and analyse the corresponding N=1 MQCD gauge theory parameters. In general there were no supergravity corrections to field theory parameters when compared to previous flat-space field theory analysis.
| 10.376507
| 11.095624
| 11.494313
| 9.60879
| 10.331094
| 10.476298
| 10.454784
| 10.20594
| 9.691973
| 13.75174
| 9.617724
| 9.915152
| 10.506579
| 9.995309
| 9.724245
| 9.805047
| 9.676581
| 9.750387
| 9.849996
| 10.937934
| 9.818042
|
1404.4427
|
Isao Kishimoto
|
Isao Kishimoto, Tomohiko Takahashi
|
Comments on Observables for Identity-Based Marginal Solutions in
Berkovits' Superstring Field Theory
|
16 pages
| null |
10.1007/JHEP07(2014)031
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct an analytic solution for tachyon condensation around
identity-based marginal solutions in Berkovits' WZW-like open superstring field
theory. Using this, which is a kind of wedge-based solution, the gauge
invariant overlaps for the identity-based marginal solutions can be calculated
analytically. This is a straightforward extension of a method in bosonic string
field theory, which has been elaborated by the authors, to superstring. We also
comment on a gauge equivalence relation between the tachyon vacuum solution and
its marginally deformed one. From this viewpoint, we can find the vacuum energy
of the identity-based marginal solutions to be zero, which agrees with the
previous result as a consequence of $\xi$ zero mode counting.
|
[
{
"created": "Thu, 17 Apr 2014 06:16:52 GMT",
"version": "v1"
}
] |
2015-06-19
|
[
[
"Kishimoto",
"Isao",
""
],
[
"Takahashi",
"Tomohiko",
""
]
] |
We construct an analytic solution for tachyon condensation around identity-based marginal solutions in Berkovits' WZW-like open superstring field theory. Using this, which is a kind of wedge-based solution, the gauge invariant overlaps for the identity-based marginal solutions can be calculated analytically. This is a straightforward extension of a method in bosonic string field theory, which has been elaborated by the authors, to superstring. We also comment on a gauge equivalence relation between the tachyon vacuum solution and its marginally deformed one. From this viewpoint, we can find the vacuum energy of the identity-based marginal solutions to be zero, which agrees with the previous result as a consequence of $\xi$ zero mode counting.
| 11.408478
| 8.917096
| 14.567648
| 8.349616
| 9.114728
| 9.411987
| 9.370115
| 8.771412
| 8.624566
| 15.46032
| 8.855013
| 9.803596
| 11.908952
| 10.237414
| 10.023548
| 9.923604
| 9.689178
| 10.221296
| 10.292153
| 11.980304
| 9.806543
|
hep-th/0004051
|
Marco Scandurra
|
Marco Scandurra (Leipzig U.)
|
Vacuum energy of a massive scalar field in the presence of a
semi-transparent cylinder
|
17 pages, 5 figures
|
J.Phys.A33:5707-5718,2000
|
10.1088/0305-4470/33/32/308
| null |
hep-th
| null |
We compute the ground state energy of a massive scalar field in the
background of a cylindrical shell whose potential is given by a delta function.
The zero point energy is expressed in terms of the Jost function of the related
scattering problem, the renormalization is performed with the help of the heat
kernel expansion. The energy is found to be negative for attractive and for
repulsive backgrounds as well.
|
[
{
"created": "Fri, 7 Apr 2000 14:47:37 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Scandurra",
"Marco",
"",
"Leipzig U."
]
] |
We compute the ground state energy of a massive scalar field in the background of a cylindrical shell whose potential is given by a delta function. The zero point energy is expressed in terms of the Jost function of the related scattering problem, the renormalization is performed with the help of the heat kernel expansion. The energy is found to be negative for attractive and for repulsive backgrounds as well.
| 9.153136
| 7.279733
| 8.114592
| 7.077693
| 7.150199
| 6.924195
| 6.566916
| 6.736663
| 7.313092
| 8.430276
| 7.166953
| 7.804761
| 7.97199
| 7.8149
| 7.410499
| 7.549207
| 7.845169
| 7.59861
| 8.054107
| 8.434904
| 7.576876
|
2203.03625
|
Sergei Vergeles
|
S.N. Vergeles
|
Self-consistent equation for torsion arising as a consequence of the
Dirac sea quantum fluctuations in external classical electromagnetic and
gravitational fields
|
7 pages
|
Class. Quantum Grav. 39 (2022) 155009 (10pp)
|
10.1088/1361-6382/ac7e14
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
The quantum fluctuations of the Dirac field in external classical
gravitational and electromagnetic fields are studied. A self-consistent
equation for torsion is calculated, which is obtained using one-loop fermion
diagrams.
|
[
{
"created": "Sat, 5 Mar 2022 17:20:50 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Jul 2022 03:47:28 GMT",
"version": "v2"
}
] |
2022-07-21
|
[
[
"Vergeles",
"S. N.",
""
]
] |
The quantum fluctuations of the Dirac field in external classical gravitational and electromagnetic fields are studied. A self-consistent equation for torsion is calculated, which is obtained using one-loop fermion diagrams.
| 14.902951
| 12.36368
| 13.025098
| 11.548961
| 11.95698
| 13.571405
| 12.909787
| 14.225441
| 11.79709
| 11.971672
| 12.66952
| 12.660948
| 12.906234
| 12.539207
| 12.230779
| 13.263786
| 12.316013
| 12.29095
| 11.891982
| 12.202681
| 12.7048
|
hep-th/0111066
|
Gorsky
|
H. Braden, A. Gorsky, A. Odesskii and V. Rubtsov
|
Double Elliptic Dynamical Systems From Generalized Mukai - Sklyanin
Algebras
|
31 pages, Latex
|
Nucl.Phys. B633 (2002) 414-442
|
10.1016/S0550-3213(02)00248-1
| null |
hep-th math-ph math.MP nlin.SI
| null |
We consider the double-elliptic generalisation of dynamical systems of
Calogero-Toda-Ruijsenaars type using finite-dimensional Mukai-Sklyanin
algebras. The two-body system, which involves an elliptic dependence both on
coordinates and momenta, is investigated in detail and the relation with Nambu
dynamics is mentioned. We identify the 2D complex manifold associated with the
double elliptic system as an elliptically fibered rational ("1/2K3 ") surface.
Some generalisations are suggested which provide the ground for a description
of the N-body systems. Possible applications to SUSY gauge theories with
adjoint matter in $d=6$ with two compact dimensions are discussed.
|
[
{
"created": "Wed, 7 Nov 2001 18:38:17 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Braden",
"H.",
""
],
[
"Gorsky",
"A.",
""
],
[
"Odesskii",
"A.",
""
],
[
"Rubtsov",
"V.",
""
]
] |
We consider the double-elliptic generalisation of dynamical systems of Calogero-Toda-Ruijsenaars type using finite-dimensional Mukai-Sklyanin algebras. The two-body system, which involves an elliptic dependence both on coordinates and momenta, is investigated in detail and the relation with Nambu dynamics is mentioned. We identify the 2D complex manifold associated with the double elliptic system as an elliptically fibered rational ("1/2K3 ") surface. Some generalisations are suggested which provide the ground for a description of the N-body systems. Possible applications to SUSY gauge theories with adjoint matter in $d=6$ with two compact dimensions are discussed.
| 13.757577
| 13.802034
| 15.566991
| 13.443599
| 13.471173
| 14.013683
| 13.358821
| 12.991757
| 14.149701
| 16.125547
| 13.421524
| 12.373145
| 13.189041
| 12.729461
| 12.76968
| 12.601705
| 12.546965
| 12.372252
| 12.729179
| 14.461932
| 12.308637
|
2205.09469
|
Yi Wang
|
Yi Wang, Jie Ren
|
Thermodynamics of hairy accelerating black holes in gauged supergravity
and beyond
|
25 pages; v2: improved version; v3: published version
|
Phys. Rev. D 106, 104046 (2022)
|
10.1103/PhysRevD.106.104046
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by-nc-sa/4.0/
|
We study the thermodynamics of accelerating asymptotically AdS black holes
with scalar hair in four-dimensional Einstein-Maxwell-dilaton theories, which
can be embedded in gauged supergravities for specific dilaton coupling
constants. These accelerating black holes are described by charged dilaton C
metrics, which have unique features but are almost unexplored before.
Thermodynamics of slowly accelerating black holes is generalized to include
scalar hair. We find that properly accounting for mixed boundary conditions for
the scalar field leads to standard consistent first law and other thermodynamic
relations. We compute the dual stress-energy tensor and the mass through
holographic renormalization, which is associated with the boundary conditions
of the scalar field. We also find that the conformal mass is the same as the
holographic mass. Along the same line, we also obtain the thermodynamics of
$U(1)^2$-charged accelerating black holes.
|
[
{
"created": "Thu, 19 May 2022 11:01:50 GMT",
"version": "v1"
},
{
"created": "Sun, 3 Jul 2022 12:51:34 GMT",
"version": "v2"
},
{
"created": "Wed, 23 Nov 2022 17:58:31 GMT",
"version": "v3"
}
] |
2022-11-24
|
[
[
"Wang",
"Yi",
""
],
[
"Ren",
"Jie",
""
]
] |
We study the thermodynamics of accelerating asymptotically AdS black holes with scalar hair in four-dimensional Einstein-Maxwell-dilaton theories, which can be embedded in gauged supergravities for specific dilaton coupling constants. These accelerating black holes are described by charged dilaton C metrics, which have unique features but are almost unexplored before. Thermodynamics of slowly accelerating black holes is generalized to include scalar hair. We find that properly accounting for mixed boundary conditions for the scalar field leads to standard consistent first law and other thermodynamic relations. We compute the dual stress-energy tensor and the mass through holographic renormalization, which is associated with the boundary conditions of the scalar field. We also find that the conformal mass is the same as the holographic mass. Along the same line, we also obtain the thermodynamics of $U(1)^2$-charged accelerating black holes.
| 8.119546
| 7.815125
| 8.789518
| 7.739085
| 7.787178
| 7.619921
| 7.503515
| 7.713777
| 7.596271
| 8.707735
| 7.639112
| 7.367277
| 7.7955
| 7.610142
| 7.719771
| 7.758389
| 7.630422
| 7.86039
| 7.64978
| 8.491205
| 7.621264
|
2002.06085
|
Gabriel Pican\c{c}o Costa Mr.
|
Gabriel Pican\c{c}o Costa (1), Nami Fux Svaiter (1), Carlos Augusto
Domingues Zarro (2) ((1) Centro Brasileiro de Pesquisas F\'isicas, Brazil,
(2) Instituto de F\'isica, Universidade Federal do Rio de Janeiro, Brazil)
|
Radiative Processes of Entangled Detectors in Rotating Frames
|
Version to match the one accepted in JHEP. References added, revised
arguments, graphics visualization improved, typos corrected. Results
unchanged. 24 pages, 23 figures
| null |
10.1007/JHEP08(2020)025
| null |
hep-th quant-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We investigate the radiative processes of accelerated entangled two-level
systems. Using first-order perturbation theory, we evaluate transition rates of
two entangled Unruh-DeWitt detectors rotating with the same angular velocity
interacting with a massive scalar field. Decay processes for arbitrary radius,
angular velocities, and energy gaps are analyzed. We discuss the mean-life of
entangled states and entanglement harvesting and degradation.
|
[
{
"created": "Fri, 14 Feb 2020 15:43:13 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Jul 2020 21:40:33 GMT",
"version": "v2"
}
] |
2023-05-01
|
[
[
"Costa",
"Gabriel Picanço",
""
],
[
"Svaiter",
"Nami Fux",
""
],
[
"Zarro",
"Carlos Augusto Domingues",
""
]
] |
We investigate the radiative processes of accelerated entangled two-level systems. Using first-order perturbation theory, we evaluate transition rates of two entangled Unruh-DeWitt detectors rotating with the same angular velocity interacting with a massive scalar field. Decay processes for arbitrary radius, angular velocities, and energy gaps are analyzed. We discuss the mean-life of entangled states and entanglement harvesting and degradation.
| 17.344221
| 16.294161
| 14.078033
| 13.377412
| 14.460222
| 15.376779
| 16.33386
| 13.004457
| 15.149117
| 14.144941
| 15.044567
| 15.504316
| 15.561588
| 15.039912
| 15.302911
| 15.272887
| 16.031044
| 14.683154
| 15.121043
| 16.110403
| 15.30901
|
hep-th/9203035
|
German Sierra
|
C. Gomez, G. Sierra
|
New Integrable Deformations of Higher Spin Heisenberg-Ising Chains
|
10 PAGES
|
Phys.Lett. B285 (1992) 126-132
|
10.1016/0370-2693(92)91310-6
| null |
hep-th
| null |
We show that the anisotropic Heisenberg-Ising chains with higher spin allow,
for special values of the anisotropy, integrable deformations intimately
related to the theory of quantum groups at roots of unity. For the spin one
case we construct and study the symmetries of the hamiltonian which depends on
a spectral variable belonging to an elliptic curve. One of the points of this
curve yields the Fateev-Zamolodchikov hamiltonian of spin one and anisotropy
$\Delta = \frac{ q^2 + q^{-2}}{2} $ with $q$ a cubic root of unity. In some
other special points the spin degrees of freedom as well as the hamiltonian
splits into pieces governed by a larger symmetry.
|
[
{
"created": "Thu, 12 Mar 1992 18:00:13 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Gomez",
"C.",
""
],
[
"Sierra",
"G.",
""
]
] |
We show that the anisotropic Heisenberg-Ising chains with higher spin allow, for special values of the anisotropy, integrable deformations intimately related to the theory of quantum groups at roots of unity. For the spin one case we construct and study the symmetries of the hamiltonian which depends on a spectral variable belonging to an elliptic curve. One of the points of this curve yields the Fateev-Zamolodchikov hamiltonian of spin one and anisotropy $\Delta = \frac{ q^2 + q^{-2}}{2} $ with $q$ a cubic root of unity. In some other special points the spin degrees of freedom as well as the hamiltonian splits into pieces governed by a larger symmetry.
| 7.853491
| 8.199801
| 9.012728
| 7.963243
| 8.018561
| 8.839489
| 8.43976
| 8.332754
| 8.286701
| 8.671046
| 7.599617
| 7.582332
| 8.328299
| 7.423562
| 7.662224
| 7.538179
| 7.504394
| 7.386872
| 7.533422
| 8.583682
| 7.740371
|
hep-th/0008138
|
Mauricio Cataldo Monsalves
|
M. Cataldo, N. Cruz, S. del Campo and A. Garcia
|
(2+1)-Dimensional Black Hole with Coulomb-like Field
|
6 pages, Latex, Phys. Lett. B. 484, 154 (2000)
|
Phys.Lett. B484 (2000) 154
|
10.1016/S0370-2693(00)00609-2
| null |
hep-th
| null |
A (2+1)-static black hole solution with a nonlinear electric field is
derived. The source to the Einstein equations is a nonlinear electrodynamics,
satisfying the weak energy conditions, and it is such that the energy momentum
tensor is traceless. The obtained solution is singular at the origin of
coordinates. The derived electric field E(r) is given by $E(r)=q/r^2$, thus it
has the Coulomb form of a point charge in the Minkowski spacetime. This
solution describes charged (anti)--de Sitter spaces. An interesting
asymptotically flat solution arises for $\Lambda=0$.
|
[
{
"created": "Thu, 17 Aug 2000 15:21:00 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Cataldo",
"M.",
""
],
[
"Cruz",
"N.",
""
],
[
"del Campo",
"S.",
""
],
[
"Garcia",
"A.",
""
]
] |
A (2+1)-static black hole solution with a nonlinear electric field is derived. The source to the Einstein equations is a nonlinear electrodynamics, satisfying the weak energy conditions, and it is such that the energy momentum tensor is traceless. The obtained solution is singular at the origin of coordinates. The derived electric field E(r) is given by $E(r)=q/r^2$, thus it has the Coulomb form of a point charge in the Minkowski spacetime. This solution describes charged (anti)--de Sitter spaces. An interesting asymptotically flat solution arises for $\Lambda=0$.
| 9.391551
| 8.093964
| 8.191989
| 7.545026
| 7.875484
| 8.833375
| 8.099714
| 7.73718
| 8.620611
| 8.65599
| 8.576339
| 8.380301
| 8.433018
| 8.247074
| 8.394284
| 8.472191
| 8.367111
| 8.326859
| 8.351997
| 8.331873
| 9.075724
|
hep-th/0003139
|
T. Damour
|
Thibault Damour and Marc Henneaux
|
Chaos in Superstring Cosmology
|
Revtex, 4 pages, submitted to PRL
|
Phys.Rev.Lett. 85 (2000) 920-923
|
10.1103/PhysRevLett.85.920
|
IHES/P/00/20, ULB-TH-00/07, NSF-ITP-0019
|
hep-th astro-ph gr-qc hep-ph
| null |
It is shown that the general solution near a spacelike singularity of the
Einstein-dilaton-p-form field equations relevant to superstring theories and
M-theory exhibits an oscillatory behaviour of the
Belinskii-Khalatnikov-Lifshitz type. String dualities play a significant role
in the analysis.
|
[
{
"created": "Thu, 16 Mar 2000 12:04:00 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Damour",
"Thibault",
""
],
[
"Henneaux",
"Marc",
""
]
] |
It is shown that the general solution near a spacelike singularity of the Einstein-dilaton-p-form field equations relevant to superstring theories and M-theory exhibits an oscillatory behaviour of the Belinskii-Khalatnikov-Lifshitz type. String dualities play a significant role in the analysis.
| 9.123474
| 7.254522
| 8.005828
| 7.27354
| 7.823386
| 8.301394
| 7.779219
| 7.027307
| 7.777927
| 9.265761
| 8.206182
| 8.008916
| 8.023892
| 8.004067
| 7.933683
| 8.065368
| 7.883118
| 7.657644
| 7.719799
| 7.75415
| 7.33089
|
hep-th/0702018
|
Costin Catalin Ciobirca
|
C.C. Ciobirca, S.O. Saliu
|
Generalized couplings between an Abelian $p$-form and a (3,1) mixed
symmetry tensor field
|
24 pages; some minor typos corrected
| null | null | null |
hep-th
| null |
The consistent interactions between a single, free, massless tensor gauge
field with the mixed symmetry $(3,1)$ and an Abelian $p$-form are investigated
in the framework of the BRST formalism combined with cohomological techniques.
Under the assumptions on smoothness, locality, Lorentz covariance, and
Poincar\'{e} invariance of the deformations, supplemented by the requirement
that the interacting Lagrangian is at most second-order derivative, it is
proved that for every value $p\geq 1$ of the form degree there are consistent
couplings between the Abelian form and the massless $(3,1)$ gauge field.
|
[
{
"created": "Fri, 2 Feb 2007 15:10:08 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Feb 2007 06:15:21 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Ciobirca",
"C. C.",
""
],
[
"Saliu",
"S. O.",
""
]
] |
The consistent interactions between a single, free, massless tensor gauge field with the mixed symmetry $(3,1)$ and an Abelian $p$-form are investigated in the framework of the BRST formalism combined with cohomological techniques. Under the assumptions on smoothness, locality, Lorentz covariance, and Poincar\'{e} invariance of the deformations, supplemented by the requirement that the interacting Lagrangian is at most second-order derivative, it is proved that for every value $p\geq 1$ of the form degree there are consistent couplings between the Abelian form and the massless $(3,1)$ gauge field.
| 7.314861
| 4.824139
| 7.305833
| 5.060245
| 4.806612
| 4.542821
| 4.665877
| 4.485935
| 5.038565
| 8.417555
| 4.927695
| 5.906267
| 6.97576
| 6.079418
| 5.923405
| 5.793955
| 5.852782
| 5.988494
| 6.194829
| 7.036554
| 5.972813
|
hep-th/0609014
|
S. Stieberger
|
D. Lust, S. Reffert, E. Scheidegger, S. Stieberger
|
Resolved Toroidal Orbifolds and their Orientifolds
|
LaTeX, 105 pp, some figures
|
Adv.Theor.Math.Phys.12:67-183,2008
| null | null |
hep-th
| null |
We discuss the resolution of toroidal orbifolds. For the resulting smooth
Calabi-Yau manifolds, we calculate the intersection ring and determine the
divisor topologies. In a next step, the orientifold quotients are constructed.
|
[
{
"created": "Mon, 4 Sep 2006 19:35:12 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Dec 2006 16:06:56 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Lust",
"D.",
""
],
[
"Reffert",
"S.",
""
],
[
"Scheidegger",
"E.",
""
],
[
"Stieberger",
"S.",
""
]
] |
We discuss the resolution of toroidal orbifolds. For the resulting smooth Calabi-Yau manifolds, we calculate the intersection ring and determine the divisor topologies. In a next step, the orientifold quotients are constructed.
| 12.866429
| 8.937014
| 13.198669
| 10.712511
| 11.577926
| 9.387591
| 11.168661
| 9.731142
| 9.958404
| 14.765415
| 9.938923
| 11.085971
| 12.102445
| 11.382658
| 10.789338
| 10.676953
| 10.738507
| 10.439561
| 11.684149
| 11.750492
| 10.552186
|
2108.08309
|
Ben Heidenreich
|
Murad Alim, Ben Heidenreich, Tom Rudelius
|
The Weak Gravity Conjecture and BPS Particles
|
91 pages, 22 figures
|
Fortschr. Phys. 2021, 2100125
|
10.1002/prop.202100125
|
ACFI-T21-09
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Motivated by the Weak Gravity Conjecture, we uncover an intricate interplay
between black holes, BPS particle counting, and Calabi-Yau geometry in five
dimensions. In particular, we point out that extremal BPS black holes exist
only in certain directions in the charge lattice, and we argue that these
directions fill out a cone that is dual to the cone of effective divisors of
the Calabi-Yau threefold. The tower and sublattice versions of the Weak Gravity
Conjecture require an infinite tower of BPS particles in these directions, and
therefore imply purely geometric conjectures requiring the existence of
infinite towers towers of holomorphic curves in every direction within the dual
of the cone of effective divisors. We verify these geometric conjectures in a
number of examples by computing Gopakumar-Vafa invariants.
|
[
{
"created": "Wed, 18 Aug 2021 18:00:00 GMT",
"version": "v1"
}
] |
2021-10-19
|
[
[
"Alim",
"Murad",
""
],
[
"Heidenreich",
"Ben",
""
],
[
"Rudelius",
"Tom",
""
]
] |
Motivated by the Weak Gravity Conjecture, we uncover an intricate interplay between black holes, BPS particle counting, and Calabi-Yau geometry in five dimensions. In particular, we point out that extremal BPS black holes exist only in certain directions in the charge lattice, and we argue that these directions fill out a cone that is dual to the cone of effective divisors of the Calabi-Yau threefold. The tower and sublattice versions of the Weak Gravity Conjecture require an infinite tower of BPS particles in these directions, and therefore imply purely geometric conjectures requiring the existence of infinite towers towers of holomorphic curves in every direction within the dual of the cone of effective divisors. We verify these geometric conjectures in a number of examples by computing Gopakumar-Vafa invariants.
| 7.124453
| 7.531317
| 8.699093
| 7.078258
| 7.428471
| 8.04197
| 7.320974
| 7.138744
| 7.526722
| 9.848996
| 7.029781
| 7.365983
| 8.027965
| 6.93854
| 6.878589
| 7.298751
| 7.053358
| 7.240929
| 7.000313
| 7.61852
| 6.919551
|
2403.05459
|
Zongzhe Du
|
Zongzhe Du, David Stefanyszyn
|
Soft Theorems for Boostless Amplitudes
| null | null | null | null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We consider effective field theories (EFTs) of scalar fields with broken
Lorentz boosts, which arise by taking the decoupling and flat-space limits of
the EFT of inflation, and derive constraints that must be satisfied by the
corresponding scattering amplitudes if there is an underlying non-linearly
realised symmetry. We primarily concentrate on extended shift symmetries which
depend on the space-time coordinates, and find that combinations of scattering
amplitudes obey enhanced Adler zeros. That is, such combinations vanish as one
external momentum is taken soft, with the rate at which they vanish dictated by
the corresponding symmetry. In our soft theorem derivation, we pay particular
care to the energy and momentum-conserving delta functions that arise due to
space-time translations, and show that when acted upon by derivatives with
respect to spatial momenta, they yield a tower of soft theorems which are
ultimately required for closure of the underlying symmetry algebra. All of our
soft theorems correspond to constraints that must be satisfied by on-shell
amplitudes and, even for symmetries that depend on the time coordinate, our
soft theorems only require derivatives to be taken with respect to spatial
momenta. We perform a soft bootstrap procedure to find solutions to our soft
theorems, and compare these solutions to what we find from an off-shell
analysis using the coset construction.
|
[
{
"created": "Fri, 8 Mar 2024 17:12:25 GMT",
"version": "v1"
}
] |
2024-03-12
|
[
[
"Du",
"Zongzhe",
""
],
[
"Stefanyszyn",
"David",
""
]
] |
We consider effective field theories (EFTs) of scalar fields with broken Lorentz boosts, which arise by taking the decoupling and flat-space limits of the EFT of inflation, and derive constraints that must be satisfied by the corresponding scattering amplitudes if there is an underlying non-linearly realised symmetry. We primarily concentrate on extended shift symmetries which depend on the space-time coordinates, and find that combinations of scattering amplitudes obey enhanced Adler zeros. That is, such combinations vanish as one external momentum is taken soft, with the rate at which they vanish dictated by the corresponding symmetry. In our soft theorem derivation, we pay particular care to the energy and momentum-conserving delta functions that arise due to space-time translations, and show that when acted upon by derivatives with respect to spatial momenta, they yield a tower of soft theorems which are ultimately required for closure of the underlying symmetry algebra. All of our soft theorems correspond to constraints that must be satisfied by on-shell amplitudes and, even for symmetries that depend on the time coordinate, our soft theorems only require derivatives to be taken with respect to spatial momenta. We perform a soft bootstrap procedure to find solutions to our soft theorems, and compare these solutions to what we find from an off-shell analysis using the coset construction.
| 9.695539
| 9.964446
| 10.055448
| 8.764283
| 10.07684
| 9.761008
| 9.311432
| 9.081979
| 9.119905
| 11.206782
| 9.190017
| 9.619429
| 9.523688
| 9.256258
| 9.24318
| 9.620532
| 9.504293
| 9.284113
| 9.413776
| 9.720802
| 9.217538
|
2011.12254
|
Janos Balog
|
Michael C. Abbott, Zolt\'an Bajnok, J\'anos Balog, \'Arp\'ad
Heged\H{u}s, and Saeedeh Sadeghian
|
Resurgence in the O(4) sigma model
|
37 pages, 5 figures, v3: typos corrected, Fig. 2 improved
| null |
10.1007/JHEP05(2021)253
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyze the free energy of the integrable two dimensional O(4) sigma model
in a magnetic field. We use Volin's method to extract high number (2000) of
perturbative coefficients with very high precision. The factorial growth of
these coefficients are regulated by switching to the Borel transform, where we
perform several asymptotic analysis. High precision data allowed to identify
Stokes constants and alien derivatives with exact expressions. These reveal a
nice resurgence structure which enables to formulate the first few terms of the
ambiguity free trans-series. We check these results against the direct
numerical solution of the exact integral equation and find complete agreement.
|
[
{
"created": "Tue, 24 Nov 2020 17:52:57 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Dec 2020 12:06:24 GMT",
"version": "v2"
},
{
"created": "Mon, 21 Jun 2021 08:04:00 GMT",
"version": "v3"
}
] |
2023-01-11
|
[
[
"Abbott",
"Michael C.",
""
],
[
"Bajnok",
"Zoltán",
""
],
[
"Balog",
"János",
""
],
[
"Hegedűs",
"Árpád",
""
],
[
"Sadeghian",
"Saeedeh",
""
]
] |
We analyze the free energy of the integrable two dimensional O(4) sigma model in a magnetic field. We use Volin's method to extract high number (2000) of perturbative coefficients with very high precision. The factorial growth of these coefficients are regulated by switching to the Borel transform, where we perform several asymptotic analysis. High precision data allowed to identify Stokes constants and alien derivatives with exact expressions. These reveal a nice resurgence structure which enables to formulate the first few terms of the ambiguity free trans-series. We check these results against the direct numerical solution of the exact integral equation and find complete agreement.
| 20.522381
| 17.80282
| 22.210617
| 19.199347
| 18.91448
| 19.391584
| 18.818998
| 18.768522
| 18.595533
| 22.984215
| 19.289932
| 19.441984
| 20.298441
| 19.990948
| 19.568052
| 19.75507
| 19.337078
| 19.514406
| 19.930613
| 20.626585
| 19.208599
|
0805.2777
|
K. V. Shajesh
|
Ines Cavero-Pelaez, Kimball A. Milton, Prachi Parashar, and K. V.
Shajesh
|
Non-contact gears: II. Casimir torque between concentric corrugated
cylinders for the scalar case
|
9 pages, 3 figures, references corrected
|
Phys.Rev.D78:065019,2008
|
10.1103/PhysRevD.78.065019
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Casimir interaction between two concentric corrugated cylinders provides
the mechanism for non-contact gears. To this end, we calculate the Casimir
torque between two such cylinders, described by $\delta$-potentials, which
interact through a scalar field. We derive analytic expressions for the Casimir
torque for the case when the corrugation amplitudes are small in comparison to
the corrugation wavelengths. We derive explicit results for the Dirichlet case,
and exact results for the weak coupling limit, in the leading order. The
results for the corrugated cylinders approach the corresponding expressions for
the case of corrugated parallel plates in the limit of large radii of cylinders
(relative to the difference in their radii) while keeping the corrugation
wavelength fixed.
|
[
{
"created": "Mon, 19 May 2008 03:10:26 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Jul 2008 23:29:47 GMT",
"version": "v2"
}
] |
2009-02-20
|
[
[
"Cavero-Pelaez",
"Ines",
""
],
[
"Milton",
"Kimball A.",
""
],
[
"Parashar",
"Prachi",
""
],
[
"Shajesh",
"K. V.",
""
]
] |
The Casimir interaction between two concentric corrugated cylinders provides the mechanism for non-contact gears. To this end, we calculate the Casimir torque between two such cylinders, described by $\delta$-potentials, which interact through a scalar field. We derive analytic expressions for the Casimir torque for the case when the corrugation amplitudes are small in comparison to the corrugation wavelengths. We derive explicit results for the Dirichlet case, and exact results for the weak coupling limit, in the leading order. The results for the corrugated cylinders approach the corresponding expressions for the case of corrugated parallel plates in the limit of large radii of cylinders (relative to the difference in their radii) while keeping the corrugation wavelength fixed.
| 7.367888
| 7.335316
| 7.907572
| 6.669278
| 7.51277
| 6.976477
| 7.629632
| 6.72898
| 7.077029
| 9.181471
| 6.649345
| 7.22049
| 7.450021
| 7.096665
| 6.935634
| 7.165474
| 7.167587
| 7.03854
| 7.101173
| 7.623154
| 6.906379
|
0903.2455
|
Anastasia Volovich
|
Anastasia Volovich, Congkao Wen
|
Correlation Functions in Non-Relativistic Holography
|
18 pages
|
JHEP 0905:087,2009
|
10.1088/1126-6708/2009/05/087
|
Brown-HET-1579
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently constructed gravity solutions with Schrodinger symmetry provide a
new example of AdS/CFT-type dualities for the type of non-relativistic field
theories relevant to certain cold atom systems. In this paper we use the
gravity side to calculate n-point correlation functions of scalar fields by
reducing the computation to that in ordinary AdS space via a particular Fourier
transform. We evaluate the relevant integrals for 3- and 4-point functions and
show that the results are consistent with the requirements of Schrodinger
invariance, the implications of which we also work out for general n-point
functions.
|
[
{
"created": "Fri, 13 Mar 2009 18:50:14 GMT",
"version": "v1"
},
{
"created": "Sun, 15 Mar 2009 18:18:53 GMT",
"version": "v2"
}
] |
2009-05-29
|
[
[
"Volovich",
"Anastasia",
""
],
[
"Wen",
"Congkao",
""
]
] |
Recently constructed gravity solutions with Schrodinger symmetry provide a new example of AdS/CFT-type dualities for the type of non-relativistic field theories relevant to certain cold atom systems. In this paper we use the gravity side to calculate n-point correlation functions of scalar fields by reducing the computation to that in ordinary AdS space via a particular Fourier transform. We evaluate the relevant integrals for 3- and 4-point functions and show that the results are consistent with the requirements of Schrodinger invariance, the implications of which we also work out for general n-point functions.
| 8.696515
| 8.167102
| 9.347816
| 7.834375
| 8.399922
| 8.713667
| 9.121013
| 8.074212
| 7.621484
| 9.741118
| 7.536955
| 7.753698
| 8.422606
| 7.770609
| 7.786493
| 8.227169
| 7.753792
| 7.7208
| 7.587509
| 8.183312
| 7.79459
|
2101.04513
|
Mikhail Pavlov
|
Mikhail Pavlov
|
Large-$c$ conformal $(n \leq 6)$-point blocks with superlight weights
and holographic Steiner trees
|
20 pages, 9 figures, V2: misprints corrected, comments and references
added, V3: more explanations and clarifying comments, typos corrected
| null |
10.1016/j.physletb.2021.136273
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
In this note we study CFT$_2$ Virasoro conformal blocks with heavy operators
in the large-$c$ limit in the context of AdS$_3$/CFT$_2$ correspondence. We
compute the lengths of the holographic Steiner trees dual to the $5$-point and
$6$-point conformal blocks using the superlight approximation when one or more
dimensions are much less than the others. These results are generalized for
$N$-point holographic Steiner trees dual to $(N+1)$-point conformal blocks with
superlight weights.
|
[
{
"created": "Tue, 12 Jan 2021 14:41:07 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Feb 2021 18:48:42 GMT",
"version": "v2"
},
{
"created": "Mon, 19 Apr 2021 17:36:45 GMT",
"version": "v3"
}
] |
2021-04-20
|
[
[
"Pavlov",
"Mikhail",
""
]
] |
In this note we study CFT$_2$ Virasoro conformal blocks with heavy operators in the large-$c$ limit in the context of AdS$_3$/CFT$_2$ correspondence. We compute the lengths of the holographic Steiner trees dual to the $5$-point and $6$-point conformal blocks using the superlight approximation when one or more dimensions are much less than the others. These results are generalized for $N$-point holographic Steiner trees dual to $(N+1)$-point conformal blocks with superlight weights.
| 7.632048
| 6.091154
| 7.185703
| 6.803806
| 5.998321
| 6.740988
| 6.658309
| 6.459793
| 6.618761
| 6.994473
| 6.684991
| 6.425147
| 6.984046
| 6.56305
| 6.669311
| 6.522829
| 6.343102
| 6.322559
| 6.522491
| 7.081997
| 6.532189
|
2209.13383
|
Soham Sen
|
Soham Sen, Ashis Saha, and Sunandan Gangopadhyay
|
Signatures of quantum geometry from exponential corrections to the black
hole entropy
|
16 pages LATEX
|
Gen. Relativ. Gravit. 56 (2024) 57
|
10.1007/s10714-024-03241-9
| null |
hep-th gr-qc quant-ph
|
http://creativecommons.org/licenses/by/4.0/
|
It has been recently shown in [Phys. Rev. Lett. 125 (2020) 041302] that
microstate counting carried out for quantum states residing on the horizon of a
black hole leads to a correction of the form $\exp(-A/4l_p^2)$ in the
Bekenstein-Hawking form of the black hole entropy. In this paper, we develop a
novel approach to obtain the possible form of the spacetime geometry from the
entropy of the black hole for a given horizon radius. The uniqueness of this
solution for a given energy-momentum tensor has also been discussed.
Remarkably, the black hole geometry reconstructed has striking similarities to
that of noncommutative-inspired Schwarzschild black holes [Phys. Lett. B 632
(2006) 547]. We also obtain the matter density functions using Einstein field
equations for the geometries we reconstruct from the thermodynamics of black
holes. These also have similarities to that of the matter density function of a
noncommutative-inspired Schwarzschild black hole. The conformal structure of
the metric is briefly discussed and the Penrose-Carter diagram is drawn. We
then compute the Komar energy and the Smarr formula for the effective black
hole geometry and compare it with that of the noncommutative-inspired
Schwarzschild black hole. We also discuss some astrophysical implications of
the solutions. Finally, we propose a set of quantum Einstein vacuum field
equations, as a solution of which we obtain one of the spacetime solutions
obtained in this work. We then show a direct connection between the quantum
Einstein vacuum field equations and the first law of black hole thermodynamics.
|
[
{
"created": "Tue, 27 Sep 2022 13:40:55 GMT",
"version": "v1"
},
{
"created": "Thu, 9 May 2024 17:11:29 GMT",
"version": "v2"
}
] |
2024-05-10
|
[
[
"Sen",
"Soham",
""
],
[
"Saha",
"Ashis",
""
],
[
"Gangopadhyay",
"Sunandan",
""
]
] |
It has been recently shown in [Phys. Rev. Lett. 125 (2020) 041302] that microstate counting carried out for quantum states residing on the horizon of a black hole leads to a correction of the form $\exp(-A/4l_p^2)$ in the Bekenstein-Hawking form of the black hole entropy. In this paper, we develop a novel approach to obtain the possible form of the spacetime geometry from the entropy of the black hole for a given horizon radius. The uniqueness of this solution for a given energy-momentum tensor has also been discussed. Remarkably, the black hole geometry reconstructed has striking similarities to that of noncommutative-inspired Schwarzschild black holes [Phys. Lett. B 632 (2006) 547]. We also obtain the matter density functions using Einstein field equations for the geometries we reconstruct from the thermodynamics of black holes. These also have similarities to that of the matter density function of a noncommutative-inspired Schwarzschild black hole. The conformal structure of the metric is briefly discussed and the Penrose-Carter diagram is drawn. We then compute the Komar energy and the Smarr formula for the effective black hole geometry and compare it with that of the noncommutative-inspired Schwarzschild black hole. We also discuss some astrophysical implications of the solutions. Finally, we propose a set of quantum Einstein vacuum field equations, as a solution of which we obtain one of the spacetime solutions obtained in this work. We then show a direct connection between the quantum Einstein vacuum field equations and the first law of black hole thermodynamics.
| 6.731305
| 6.941158
| 6.313294
| 6.328363
| 6.579523
| 6.66793
| 6.89289
| 6.604307
| 6.444011
| 6.961462
| 6.620678
| 6.663686
| 6.433218
| 6.306565
| 6.431124
| 6.404975
| 6.500825
| 6.332191
| 6.553029
| 6.484211
| 6.542237
|
2405.03465
|
Hao Ouyang
|
H. Babaei-Aghbolagh, Song He, Tommaso Morone, Hao Ouyang, Roberto
Tateo
|
Geometric formulation of generalized root-$T\bar{T}$ deformations
|
11 pages, no figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We develop a generic geometric formalism that incorporates both
$T\bar{T}$-like and root-$T\bar{T}$-like deformations in arbitrary dimensions.
This framework applies to a wide family of stress-energy tensor perturbations
and encompasses various well-known field theories. Building upon the recently
proposed correspondence between Ricci-based gravity and $T\bar{T}$-like
deformations, we further extend this duality to include root-$T\bar{T}$-like
perturbations. This refinement extends the potential applications of our
approach and contributes to a deeper exploration of the interplay between
stress tensor perturbations and gravitational dynamics. Among the various
original outcomes detailed in this article, we have also obtained a deformation
of the flat Jackiw-Teitelboim gravity action.
|
[
{
"created": "Mon, 6 May 2024 13:38:25 GMT",
"version": "v1"
}
] |
2024-05-07
|
[
[
"Babaei-Aghbolagh",
"H.",
""
],
[
"He",
"Song",
""
],
[
"Morone",
"Tommaso",
""
],
[
"Ouyang",
"Hao",
""
],
[
"Tateo",
"Roberto",
""
]
] |
We develop a generic geometric formalism that incorporates both $T\bar{T}$-like and root-$T\bar{T}$-like deformations in arbitrary dimensions. This framework applies to a wide family of stress-energy tensor perturbations and encompasses various well-known field theories. Building upon the recently proposed correspondence between Ricci-based gravity and $T\bar{T}$-like deformations, we further extend this duality to include root-$T\bar{T}$-like perturbations. This refinement extends the potential applications of our approach and contributes to a deeper exploration of the interplay between stress tensor perturbations and gravitational dynamics. Among the various original outcomes detailed in this article, we have also obtained a deformation of the flat Jackiw-Teitelboim gravity action.
| 9.197042
| 7.705832
| 8.405101
| 7.495036
| 7.71953
| 7.55566
| 7.613727
| 7.5715
| 7.44342
| 8.95925
| 7.341893
| 7.926973
| 8.135589
| 7.860636
| 8.084865
| 8.208003
| 8.018676
| 8.083508
| 7.909865
| 8.081346
| 7.930425
|
1903.05658
|
Panagiotis Betzios
|
Panos Betzios, Elias Kiritsis, Olga Papadoulaki
|
Euclidean Wormholes and Holography
|
77 pages, 21 figures
| null |
10.1007/JHEP06(2019)042
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Asymptotically AdS wormhole solutions are considered in the context of
holography. Correlation functions of local operators on distinct boundaries are
studied. It is found that such correlators are finite at short distances.
Correlation functions of non-local operators (Wilson loops) on distinct
boundaries are also studied, with similar conclusions. Deformations of the
theory with multi-trace operators on distinct boundaries are considered and
studied. As a consequence of these results, the dual theory is expected to
factorize in the UV, and the two sectors to be coupled by a soft non-local
interaction. A simple field theory model with such behavior is presented.
|
[
{
"created": "Wed, 13 Mar 2019 18:09:12 GMT",
"version": "v1"
}
] |
2019-06-26
|
[
[
"Betzios",
"Panos",
""
],
[
"Kiritsis",
"Elias",
""
],
[
"Papadoulaki",
"Olga",
""
]
] |
Asymptotically AdS wormhole solutions are considered in the context of holography. Correlation functions of local operators on distinct boundaries are studied. It is found that such correlators are finite at short distances. Correlation functions of non-local operators (Wilson loops) on distinct boundaries are also studied, with similar conclusions. Deformations of the theory with multi-trace operators on distinct boundaries are considered and studied. As a consequence of these results, the dual theory is expected to factorize in the UV, and the two sectors to be coupled by a soft non-local interaction. A simple field theory model with such behavior is presented.
| 8.737751
| 6.896736
| 9.39141
| 7.313728
| 7.649136
| 8.072802
| 7.866209
| 7.530003
| 7.183527
| 9.467792
| 7.30826
| 7.344121
| 8.436881
| 7.457528
| 7.432846
| 7.39024
| 7.276003
| 7.354815
| 7.341173
| 8.441751
| 7.451007
|
1510.03837
|
Giuseppe D'Appollonio
|
Giuseppe D'Appollonio, Paolo Di Vecchia, Rodolfo Russo and Gabriele
Veneziano
|
A microscopic description of absorption in high-energy string-brane
collisions
|
46 pages
| null |
10.1007/JHEP03(2016)030
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the collision of a highly energetic light closed string off a stack
of Dp-branes at (sub)string-scale impact parameters and in a regime justifying
a perturbative treatment. Unlike at larger impact parameters - where elastic
scattering and/or tidal excitations dominate - here absorption of the closed
string by the brane system, with the associated excitation of open strings
living on it, becomes important. As a first step, we study this phenomenon at
the disk level, in which the energetic closed string turns into a single heavy
open string at rest whose particularly simple properties are described.
|
[
{
"created": "Tue, 13 Oct 2015 19:47:52 GMT",
"version": "v1"
}
] |
2016-03-23
|
[
[
"D'Appollonio",
"Giuseppe",
""
],
[
"Di Vecchia",
"Paolo",
""
],
[
"Russo",
"Rodolfo",
""
],
[
"Veneziano",
"Gabriele",
""
]
] |
We study the collision of a highly energetic light closed string off a stack of Dp-branes at (sub)string-scale impact parameters and in a regime justifying a perturbative treatment. Unlike at larger impact parameters - where elastic scattering and/or tidal excitations dominate - here absorption of the closed string by the brane system, with the associated excitation of open strings living on it, becomes important. As a first step, we study this phenomenon at the disk level, in which the energetic closed string turns into a single heavy open string at rest whose particularly simple properties are described.
| 16.12767
| 14.880914
| 15.261044
| 15.272371
| 16.216806
| 14.323226
| 14.84666
| 15.2587
| 14.074989
| 17.402193
| 14.724197
| 15.382677
| 16.558571
| 15.469405
| 15.387615
| 16.089115
| 16.110855
| 15.810997
| 15.010634
| 15.502904
| 15.291499
|
1606.07169
|
Yu-Xiao Liu
|
Bao-Min Gu, Yu-Peng Zhang, Hao Yu, Yu-Xiao Liu
|
Full linear perturbations and localization of gravity on $f(R,T)$ brane
|
v3: 8 pages, 2 figures, improved version with minor corrections,
accepted by EPJC
|
Eur. Phys. J. C 77 (2017) 115
|
10.1140/epjc/s10052-017-4666-3
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the thick brane world system constructed in the recently proposed
$f(R,T)$ theories of gravity, with $R$ the Ricci scalar and $T$ the trace of
the energy-momentum tensor. We try to get the analytic background solutions and
discuss the full linear perturbations, especially the scalar perturbations. We
compare how the brane world model is modified with that of general relativity
coupled to a canonical scalar field. It is found that some more interesting
background solutions are allowed, and only the scalar perturbation mode is
modified. There is no tachyon state exists in this model and only the massless
tensor mode can be localized on the brane, which recovers the effective
four-dimensional gravity. These conclusions hold provided that two constraints
on the original formalism of the action are satisfied.
|
[
{
"created": "Thu, 23 Jun 2016 02:47:40 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Nov 2016 00:53:58 GMT",
"version": "v2"
},
{
"created": "Mon, 16 Jan 2017 14:48:31 GMT",
"version": "v3"
}
] |
2017-02-24
|
[
[
"Gu",
"Bao-Min",
""
],
[
"Zhang",
"Yu-Peng",
""
],
[
"Yu",
"Hao",
""
],
[
"Liu",
"Yu-Xiao",
""
]
] |
We study the thick brane world system constructed in the recently proposed $f(R,T)$ theories of gravity, with $R$ the Ricci scalar and $T$ the trace of the energy-momentum tensor. We try to get the analytic background solutions and discuss the full linear perturbations, especially the scalar perturbations. We compare how the brane world model is modified with that of general relativity coupled to a canonical scalar field. It is found that some more interesting background solutions are allowed, and only the scalar perturbation mode is modified. There is no tachyon state exists in this model and only the massless tensor mode can be localized on the brane, which recovers the effective four-dimensional gravity. These conclusions hold provided that two constraints on the original formalism of the action are satisfied.
| 9.533998
| 8.743519
| 8.514371
| 8.130295
| 9.105258
| 8.70814
| 9.066897
| 8.008887
| 8.605401
| 8.594009
| 8.523648
| 8.775468
| 8.604833
| 8.489147
| 8.678311
| 8.610579
| 8.696907
| 8.56749
| 8.716132
| 8.644446
| 8.62886
|
hep-th/9612040
|
Vadim Brazhnikov
|
Vadim A. Brazhnikov
|
$\Phi^{(2)}$ Perturbations of WZW Model
|
28 pages, harvmac.tex; some misprints were corrected
|
Nucl.Phys. B501 (1997) 685-710
|
10.1016/S0550-3213(97)00462-8
| null |
hep-th
| null |
We study $su(2)_k$ WZW model perturbed by a multiplet of primary fields. The
theory has a rich variety of particles. Presence of nontrivial decay processes
is a peculiarity of the model. We prove integrability by explicit construction
of quantum conserved currents. The scattering theory is briefly discussed.
|
[
{
"created": "Tue, 3 Dec 1996 20:03:29 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Dec 1996 20:55:02 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Brazhnikov",
"Vadim A.",
""
]
] |
We study $su(2)_k$ WZW model perturbed by a multiplet of primary fields. The theory has a rich variety of particles. Presence of nontrivial decay processes is a peculiarity of the model. We prove integrability by explicit construction of quantum conserved currents. The scattering theory is briefly discussed.
| 12.543082
| 10.498
| 14.681981
| 10.755457
| 10.185863
| 10.995635
| 11.222114
| 10.417904
| 10.404262
| 16.560402
| 10.867959
| 11.078367
| 14.468795
| 11.279127
| 11.24215
| 11.156404
| 11.36237
| 11.028559
| 11.703383
| 13.937264
| 11.008664
|
1508.03642
|
Masato Minamitsuji
|
Jos\'e P. S. Lemos, Francisco J. Lopes, Masato Minamitsuji, Jorge V.
Rocha
|
Thermodynamics of rotating thin shells in the BTZ spacetime
|
17 pages
|
Physical Review D 92, 064012 (2015)
|
10.1103/PhysRevD.92.064012
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the thermodynamic equilibrium states of a rotating thin shell,
i.e., a ring, in a (2+1)-dimensional spacetime with a negative cosmological
constant. The inner and outer regions with respect to the shell are given by
the vacuum anti-de Sitter and the rotating Ba\~{n}ados-Teitelbom-Zanelli
spacetimes, respectively. The first law of thermodynamics on the thin shell,
together with three equations of state for the pressure, the local inverse
temperature and the thermodynamic angular velocity of the shell, yields the
entropy of the shell, which is shown to depend only on its gravitational radii.
When the shell is pushed to its own gravitational radius and its temperature is
taken to be the Hawking temperature of the corresponding black hole, the
entropy of the shell coincides with the Bekenstein-Hawking entropy. In
addition, we consider simple ans\"atze for the equations of state, as well as a
power-law equation of state where the entropy and the thermodynamic stability
conditions can be examined analytically.
|
[
{
"created": "Fri, 14 Aug 2015 20:07:45 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Sep 2015 15:29:15 GMT",
"version": "v2"
}
] |
2015-09-14
|
[
[
"Lemos",
"José P. S.",
""
],
[
"Lopes",
"Francisco J.",
""
],
[
"Minamitsuji",
"Masato",
""
],
[
"Rocha",
"Jorge V.",
""
]
] |
We investigate the thermodynamic equilibrium states of a rotating thin shell, i.e., a ring, in a (2+1)-dimensional spacetime with a negative cosmological constant. The inner and outer regions with respect to the shell are given by the vacuum anti-de Sitter and the rotating Ba\~{n}ados-Teitelbom-Zanelli spacetimes, respectively. The first law of thermodynamics on the thin shell, together with three equations of state for the pressure, the local inverse temperature and the thermodynamic angular velocity of the shell, yields the entropy of the shell, which is shown to depend only on its gravitational radii. When the shell is pushed to its own gravitational radius and its temperature is taken to be the Hawking temperature of the corresponding black hole, the entropy of the shell coincides with the Bekenstein-Hawking entropy. In addition, we consider simple ans\"atze for the equations of state, as well as a power-law equation of state where the entropy and the thermodynamic stability conditions can be examined analytically.
| 6.129981
| 5.453311
| 5.619189
| 5.416409
| 5.481983
| 5.409214
| 6.208005
| 5.567742
| 5.748552
| 6.103129
| 5.809448
| 5.723069
| 5.559507
| 5.464365
| 5.701778
| 5.738268
| 5.8915
| 5.735427
| 5.81618
| 5.582241
| 5.790476
|
1512.02293
|
Robie Hennigar
|
Robie A. Hennigar, David Kubiznak, Robert B. Mann, Nathan Musoke
|
Ultraspinning limits and rotating hyperboloid membranes
|
10 pages, 2 figures, REVTeX 4-1
| null |
10.1016/j.nuclphysb.2015.12.017
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We apply the hyperboloid membrane limit to the general Kerr-AdS metrics and
their recently studied super-entropic cousins and obtain a new class of
rotating black holes, for which the rotational parameters in multiple
directions attain their maximal value---equal to the AdS radius. These new
solutions have a potential application in the description of holographic fluids
with vorticity. They also possess interesting thermodynamic properties: we show
that---despite the absence of Misner strings---the Bekenstein--Hawking
entropy/area law is still violated, raising a question about the origin of this
violation.
|
[
{
"created": "Tue, 8 Dec 2015 00:31:53 GMT",
"version": "v1"
}
] |
2016-02-17
|
[
[
"Hennigar",
"Robie A.",
""
],
[
"Kubiznak",
"David",
""
],
[
"Mann",
"Robert B.",
""
],
[
"Musoke",
"Nathan",
""
]
] |
We apply the hyperboloid membrane limit to the general Kerr-AdS metrics and their recently studied super-entropic cousins and obtain a new class of rotating black holes, for which the rotational parameters in multiple directions attain their maximal value---equal to the AdS radius. These new solutions have a potential application in the description of holographic fluids with vorticity. They also possess interesting thermodynamic properties: we show that---despite the absence of Misner strings---the Bekenstein--Hawking entropy/area law is still violated, raising a question about the origin of this violation.
| 12.69663
| 11.628155
| 13.33307
| 12.020609
| 12.123259
| 12.810869
| 12.312739
| 12.902512
| 13.388209
| 12.603517
| 12.72525
| 12.031157
| 13.375402
| 12.742907
| 12.64038
| 12.62276
| 12.949168
| 12.378155
| 12.435936
| 12.558679
| 12.446715
|
2405.01643
|
Francisco Rojas
|
Lina Castiblanco, Gaston Giribet, Gabriel Marin, Francisco Rojas
|
Celestial strings: field theory, conformally soft limits, and mapping
the worldsheet onto the celestial sphere
|
30 pages, 1 table. Added one figure and references
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the celestial correlators corresponding to tree-level 5-gluon
amplitudes in the type I superstring theory. Since celestial correlation
functions are obtained by integrating over the full range of energies, there is
no obvious analog of the $\alpha' \to 0$ limit in this basis. This is
manifestly shown by a factorization of the $\alpha '$ dependence in the
celestial string amplitudes. Consequently, the question arises as to how the
field theory limit is recovered from string theory in the celestial basis. This
problem has been addressed in the literature for the case of 4-gluon amplitudes
at tree level, where the forward scattering limit of the stringy factor was
identified as a limit in which celestial Yang-Mills 4-point function is
recovered. Here, we extend the analysis to the case with five gluons, for which
the string moduli space allows for more types of limits, thus allowing to
investigate this aspect in more detail. Based on celestial data only, we study
the regime in which one arrives at the correct celestial field theory limit. We
also study other properties of the celestial string amplitudes, namely, the
conformally soft theorem, effective field theory expansion in the conformal
basis, and a map that arises in the regime of high-energy/large-scaling
dimension that connects the punctured string worldsheet to the insertion of
primary operators in the celestial CFT for the massless $n$-point string
amplitude.
|
[
{
"created": "Thu, 2 May 2024 18:04:55 GMT",
"version": "v1"
},
{
"created": "Sun, 2 Jun 2024 17:09:16 GMT",
"version": "v2"
}
] |
2024-06-04
|
[
[
"Castiblanco",
"Lina",
""
],
[
"Giribet",
"Gaston",
""
],
[
"Marin",
"Gabriel",
""
],
[
"Rojas",
"Francisco",
""
]
] |
We compute the celestial correlators corresponding to tree-level 5-gluon amplitudes in the type I superstring theory. Since celestial correlation functions are obtained by integrating over the full range of energies, there is no obvious analog of the $\alpha' \to 0$ limit in this basis. This is manifestly shown by a factorization of the $\alpha '$ dependence in the celestial string amplitudes. Consequently, the question arises as to how the field theory limit is recovered from string theory in the celestial basis. This problem has been addressed in the literature for the case of 4-gluon amplitudes at tree level, where the forward scattering limit of the stringy factor was identified as a limit in which celestial Yang-Mills 4-point function is recovered. Here, we extend the analysis to the case with five gluons, for which the string moduli space allows for more types of limits, thus allowing to investigate this aspect in more detail. Based on celestial data only, we study the regime in which one arrives at the correct celestial field theory limit. We also study other properties of the celestial string amplitudes, namely, the conformally soft theorem, effective field theory expansion in the conformal basis, and a map that arises in the regime of high-energy/large-scaling dimension that connects the punctured string worldsheet to the insertion of primary operators in the celestial CFT for the massless $n$-point string amplitude.
| 10.836827
| 10.59264
| 11.121339
| 10.176423
| 10.390586
| 10.783683
| 10.400324
| 9.979372
| 10.032861
| 11.741038
| 9.954288
| 10.023424
| 10.747423
| 10.062755
| 10.10212
| 10.134137
| 10.164374
| 9.907129
| 10.218336
| 11.429753
| 9.986965
|
0906.0303
|
Luiz C L Botelho
|
Luiz C L Botelho
|
Triviality-quantum decoherence of fermionic quantum chromodynamics
SU(Nc)) in the presence of an external strong U(infinite) flavored constant
noise field
|
11In order to protest against that stupid and ruthless decision of
arxiv moderation in not allow me to submit unplished articles in arxiv
|
Int.J.Theor.Phys.49:1684-1692,2010
|
10.1007/s10773-010-0347-9
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyse the triviality-quantum decoherence of Euclidean quantum
chromodynamics in the gauge invariant sector in the presence of an external
U(infinite)-flavor constant charged white noise reservoir and producing thus a
proof for confinement in the Color-charge QCD through the modeling of the QCD
vacuum by constant gauge fields
|
[
{
"created": "Mon, 1 Jun 2009 15:38:46 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Jun 2009 20:17:34 GMT",
"version": "v2"
},
{
"created": "Mon, 2 Jul 2012 20:29:26 GMT",
"version": "v3"
}
] |
2012-07-04
|
[
[
"Botelho",
"Luiz C L",
""
]
] |
We analyse the triviality-quantum decoherence of Euclidean quantum chromodynamics in the gauge invariant sector in the presence of an external U(infinite)-flavor constant charged white noise reservoir and producing thus a proof for confinement in the Color-charge QCD through the modeling of the QCD vacuum by constant gauge fields
| 70.879387
| 73.270355
| 63.079498
| 61.555981
| 80.778999
| 75.420937
| 75.065231
| 71.864655
| 70.177521
| 64.418907
| 58.239941
| 57.956234
| 60.384811
| 59.047569
| 59.089481
| 53.121532
| 60.382217
| 59.752945
| 58.193027
| 58.017086
| 52.974594
|
1501.06977
|
Andreas Gustavsson
|
Andreas Gustavsson
|
Euclidean quantum M5 brane theory on $S^1 \times S^5$
|
31 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider Euclidean quantum M5 brane theory on $S^1\times S^5$. Dimensional
reduction along $S^1$ gives a 5d SYM on $S^5$. We derive this 5d SYM theory
from a classical Lorentzian M5 brane Lagrangian on $S^1 \times S^5$, where
$S^1$ is a timelike circle of radius $T$, by performing a Scherk-Schwarz
reduction along $S^1$ followed by Wick rotation of $T$.
|
[
{
"created": "Wed, 28 Jan 2015 02:35:22 GMT",
"version": "v1"
}
] |
2015-01-29
|
[
[
"Gustavsson",
"Andreas",
""
]
] |
We consider Euclidean quantum M5 brane theory on $S^1\times S^5$. Dimensional reduction along $S^1$ gives a 5d SYM on $S^5$. We derive this 5d SYM theory from a classical Lorentzian M5 brane Lagrangian on $S^1 \times S^5$, where $S^1$ is a timelike circle of radius $T$, by performing a Scherk-Schwarz reduction along $S^1$ followed by Wick rotation of $T$.
| 4.893382
| 4.347973
| 5.346638
| 4.164365
| 4.394353
| 4.617427
| 4.435678
| 4.41335
| 4.293912
| 4.877414
| 4.203032
| 4.164466
| 4.812675
| 4.3954
| 4.26636
| 4.333322
| 4.23002
| 4.228639
| 4.424883
| 4.534904
| 4.161716
|
hep-th/9511042
| null |
M. Temple-Raston
|
The redshift in Hubble's constant
|
13 pages, LaTeX
|
Int.J.Theor.Phys. 36 (1997) 249-258
| null | null |
hep-th astro-ph
| null |
A generalisation to electrodynamics and Yang-Mills theory is presented that
permits computation of the speed of light. The model presented herewithin
indicates that the speed of light in vacuo is not a universal constant. This
may be relevant to the current debate in astronomy over large values of the
Hubble constant obtained through the use of the latest generation of ground and
space-based telescopes. An experiment is proposed based on Compton scattering
to measure deviations in the speed of light.
|
[
{
"created": "Mon, 6 Nov 1995 12:16:10 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Temple-Raston",
"M.",
""
]
] |
A generalisation to electrodynamics and Yang-Mills theory is presented that permits computation of the speed of light. The model presented herewithin indicates that the speed of light in vacuo is not a universal constant. This may be relevant to the current debate in astronomy over large values of the Hubble constant obtained through the use of the latest generation of ground and space-based telescopes. An experiment is proposed based on Compton scattering to measure deviations in the speed of light.
| 10.948114
| 10.865488
| 11.625712
| 10.450192
| 11.507379
| 10.648286
| 9.851625
| 10.558276
| 11.027241
| 10.918935
| 10.400778
| 10.323828
| 10.700465
| 10.292484
| 10.008704
| 10.19183
| 10.249597
| 10.392766
| 10.387261
| 10.410363
| 9.979011
|
1207.5520
|
Massimo Taronna
|
Euihun Joung, Luca Lopez, Massimo Taronna
|
Solving the Noether procedure for cubic interactions of higher spins in
(A)dS
|
17 pages, LaTex. Invited contribution to the J. Phys. A special
volume on "Higher Spin Theories and AdS/CFT" edited by M. Gaberdiel and M. A.
Vasiliev. Final version to appear in J. Phys. A
| null |
10.1088/1751-8113/46/21/214020
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Noether procedure represents a perturbative scheme to construct all
possible consistent interactions starting from a given free theory. In this
note we describe how cubic interactions involving higher spins in any
constant-curvature background can be systematically derived within this
framework.
|
[
{
"created": "Mon, 23 Jul 2012 20:06:20 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Nov 2012 21:26:42 GMT",
"version": "v2"
}
] |
2015-06-05
|
[
[
"Joung",
"Euihun",
""
],
[
"Lopez",
"Luca",
""
],
[
"Taronna",
"Massimo",
""
]
] |
The Noether procedure represents a perturbative scheme to construct all possible consistent interactions starting from a given free theory. In this note we describe how cubic interactions involving higher spins in any constant-curvature background can be systematically derived within this framework.
| 17.889675
| 13.643007
| 17.483953
| 13.863667
| 14.603164
| 14.611968
| 14.454437
| 13.810687
| 14.625128
| 15.19246
| 14.441992
| 14.417173
| 17.936687
| 16.211155
| 14.918179
| 15.692253
| 15.443752
| 15.244901
| 14.774399
| 16.784674
| 14.500292
|
hep-th/0505104
|
Saswat Sarangi
|
Saswat Sarangi and S.-H. Henry Tye
|
The Boundedness of Euclidean Gravity and the Wavefunction of the
Universe
|
39 pages, 8 figures. Added comments, discussion, references, one new
figure
| null | null | null |
hep-th gr-qc
| null |
When the semi-positive cosmological constant is dynamical, the naive
Euclidean Einstein action is unbounded from below and the Hartle-Hawking
wavefunction of the universe is not normalizable. With the inclusion of
back-reaction (a crucial point), the presence of the metric perturbative modes
(as well as matter fields) as the environment (that is, to be integrated or
traced out) introduces a correction term that provides a bound to the Euclidean
action. So the improved wavefunction is normalizable. That is, decoherence
plays an essential role in the consistency of quantum gravity. In the
spontaneous creation of the universe, this improved wavefunction allows one to
compare the tunneling probabilities from absolute nothing (i.e., not even
classical spacetime) to various vacua (with different large spatial dimensions
and different low energy spectra) in the stringy cosmic landscape.
|
[
{
"created": "Thu, 12 May 2005 04:36:30 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Jun 2005 17:54:40 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Sarangi",
"Saswat",
""
],
[
"Tye",
"S. -H. Henry",
""
]
] |
When the semi-positive cosmological constant is dynamical, the naive Euclidean Einstein action is unbounded from below and the Hartle-Hawking wavefunction of the universe is not normalizable. With the inclusion of back-reaction (a crucial point), the presence of the metric perturbative modes (as well as matter fields) as the environment (that is, to be integrated or traced out) introduces a correction term that provides a bound to the Euclidean action. So the improved wavefunction is normalizable. That is, decoherence plays an essential role in the consistency of quantum gravity. In the spontaneous creation of the universe, this improved wavefunction allows one to compare the tunneling probabilities from absolute nothing (i.e., not even classical spacetime) to various vacua (with different large spatial dimensions and different low energy spectra) in the stringy cosmic landscape.
| 12.178592
| 13.113138
| 12.64262
| 11.97608
| 12.062813
| 12.732528
| 13.184988
| 12.282519
| 11.155865
| 13.594758
| 11.638201
| 11.395984
| 11.676488
| 11.30289
| 11.11083
| 11.156724
| 10.923786
| 11.240255
| 11.187086
| 11.674876
| 11.3171
|
1508.01626
|
Naoto Yokoi
|
Naoto Yokoi, Masafumi Ishihara, Koji Sato, and Eiji Saitoh
|
A Holographic Realization of Ferromagnets
|
11 pages, 5 figures
|
Phys. Rev. D 93, 026002 (2016)
|
10.1103/PhysRevD.93.026002
| null |
hep-th cond-mat.mes-hall cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A holographic realization for ferromagnetic systems has been constructed.
Owing to the holographic dictionary proposed on the basis of this realization,
we obtained relevant thermodynamic quantities such as magnetization, magnetic
susceptibility, and free energy. This holographic model reproduces the behavior
of the mean field theory near the critical temperature. At low temperatures,
the results automatically incorporate the contributions from spin wave
excitations and conduction electrons.
|
[
{
"created": "Fri, 7 Aug 2015 07:20:23 GMT",
"version": "v1"
}
] |
2016-01-13
|
[
[
"Yokoi",
"Naoto",
""
],
[
"Ishihara",
"Masafumi",
""
],
[
"Sato",
"Koji",
""
],
[
"Saitoh",
"Eiji",
""
]
] |
A holographic realization for ferromagnetic systems has been constructed. Owing to the holographic dictionary proposed on the basis of this realization, we obtained relevant thermodynamic quantities such as magnetization, magnetic susceptibility, and free energy. This holographic model reproduces the behavior of the mean field theory near the critical temperature. At low temperatures, the results automatically incorporate the contributions from spin wave excitations and conduction electrons.
| 11.009223
| 10.91027
| 10.808808
| 10.17872
| 11.258961
| 9.405977
| 10.997829
| 11.4611
| 10.400145
| 11.083622
| 10.321106
| 10.341273
| 11.179338
| 10.196011
| 10.044385
| 10.513857
| 10.298717
| 10.036529
| 10.148981
| 11.050542
| 9.959723
|
hep-th/0602081
|
Sean Nowling
|
Shinsuke Kawai, Esko Keski-Vakkuri, Robert G. Leigh, Sean Nowling
|
The Rolling Tachyon Boundary Conformal Field Theory on an Orbifold
|
23 pages
|
Phys.Rev.D73:106003,2006
|
10.1103/PhysRevD.73.106003
| null |
hep-th cond-mat.other
| null |
We consider the non-trivial boundary conformal field theory with exactly
marginal boundary deformation. In recent years this deformation has been
studied in the context of rolling tachyons and S-branes in string theory. Here
we study the problem directly from an open string point of view, at one loop.
We formulate the theory of the Z_2 reflection orbifold. To do so, we extend
fermionization techniques originally introduced by Polchinski and Thorlacius.
We also explain how to perform the open string computations at arbitrary
(rational) radius, by consistently constructing the corresponding shift
orbifold, and show in what sense these are related to known boundary states. In
a companion paper, we use these results in a cosmological context involving
decaying branes.
|
[
{
"created": "Wed, 8 Feb 2006 16:25:25 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Kawai",
"Shinsuke",
""
],
[
"Keski-Vakkuri",
"Esko",
""
],
[
"Leigh",
"Robert G.",
""
],
[
"Nowling",
"Sean",
""
]
] |
We consider the non-trivial boundary conformal field theory with exactly marginal boundary deformation. In recent years this deformation has been studied in the context of rolling tachyons and S-branes in string theory. Here we study the problem directly from an open string point of view, at one loop. We formulate the theory of the Z_2 reflection orbifold. To do so, we extend fermionization techniques originally introduced by Polchinski and Thorlacius. We also explain how to perform the open string computations at arbitrary (rational) radius, by consistently constructing the corresponding shift orbifold, and show in what sense these are related to known boundary states. In a companion paper, we use these results in a cosmological context involving decaying branes.
| 13.982785
| 13.529613
| 15.763421
| 12.838492
| 13.709951
| 12.829885
| 13.076927
| 12.588405
| 12.397652
| 17.527807
| 13.236653
| 12.643301
| 14.041091
| 13.027139
| 12.997541
| 12.730488
| 12.64395
| 12.813921
| 12.593656
| 13.597565
| 12.938179
|
hep-th/9302141
|
Fusun Akman
|
Fusun Akman
|
A characterization of the differential in semi-infinite cohomology
|
19 pages (to appear in Journal of Algebra)
| null | null | null |
hep-th math.QA
| null |
Semi-infinite cohomology is constructed from scratch as the proper
generalization of finite dimensional Lie algebra cohomology. The differential d
and other operators are realized as universal inner deri- vations of a
completed algebra, which acts on any appropriate semi-infinite complex. In
particular, d is shown to be the unique derivation satisfying the "Cartan
identity" and certain natural degree conditions. The proof that d is
square-zero may well be the shortest (arguably, the only) one in print.
|
[
{
"created": "Sat, 27 Feb 1993 20:29:09 GMT",
"version": "v1"
}
] |
2008-02-03
|
[
[
"Akman",
"Fusun",
""
]
] |
Semi-infinite cohomology is constructed from scratch as the proper generalization of finite dimensional Lie algebra cohomology. The differential d and other operators are realized as universal inner deri- vations of a completed algebra, which acts on any appropriate semi-infinite complex. In particular, d is shown to be the unique derivation satisfying the "Cartan identity" and certain natural degree conditions. The proof that d is square-zero may well be the shortest (arguably, the only) one in print.
| 15.814342
| 18.816952
| 18.136311
| 17.130217
| 19.902771
| 17.246485
| 20.208263
| 19.479078
| 17.101496
| 21.961823
| 16.939821
| 15.620122
| 17.399157
| 15.171741
| 16.409657
| 15.375334
| 16.118799
| 15.987589
| 15.165419
| 18.390518
| 15.085329
|
1007.1588
|
Koh Iwasaki
|
Toshiaki Fujimori, Koh Iwasaki, Yoshishige Kobayashi and Shin Sasaki
|
Classification of BPS Objects in N = 6 Chern-Simons Matter Theory
|
47 pages, 0 figures
|
JHEP 1010:002,2010
|
10.1007/JHEP10(2010)002
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate BPS conditions preserving n/12 (n = 1,...,6) supersymmetries
in the Aharony-Bergman-Jafferis-Maldacena (ABJM) model. The BPS equations are
classified in terms of the number of preserved supercharges and remaining
subgroups of the SU(4)_R symmetry. We study structures of a map between
projection conditions for the supercharges in eleven dimensions and those in
the ABJM model. The BPS configurations in the ABJM model can be interpreted as
known BPS objects in eleven-dimensional Mtheory,such as intersecting M2,
M5-branes, M-waves, KK-monopoles and M9-branes. We also show that these BPS
conditions reduce to those in N = 8 super Yang-Mills theory via the standard
D2-reduction procedure in a consistent way with the M-theory interpretation of
the BPS conditions.
|
[
{
"created": "Fri, 9 Jul 2010 13:34:28 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Jul 2010 08:12:09 GMT",
"version": "v2"
}
] |
2011-04-12
|
[
[
"Fujimori",
"Toshiaki",
""
],
[
"Iwasaki",
"Koh",
""
],
[
"Kobayashi",
"Yoshishige",
""
],
[
"Sasaki",
"Shin",
""
]
] |
We investigate BPS conditions preserving n/12 (n = 1,...,6) supersymmetries in the Aharony-Bergman-Jafferis-Maldacena (ABJM) model. The BPS equations are classified in terms of the number of preserved supercharges and remaining subgroups of the SU(4)_R symmetry. We study structures of a map between projection conditions for the supercharges in eleven dimensions and those in the ABJM model. The BPS configurations in the ABJM model can be interpreted as known BPS objects in eleven-dimensional Mtheory,such as intersecting M2, M5-branes, M-waves, KK-monopoles and M9-branes. We also show that these BPS conditions reduce to those in N = 8 super Yang-Mills theory via the standard D2-reduction procedure in a consistent way with the M-theory interpretation of the BPS conditions.
| 6.918582
| 6.906488
| 8.716865
| 6.479148
| 6.499093
| 7.198935
| 7.106732
| 6.96079
| 6.594139
| 8.624408
| 7.185676
| 6.613242
| 7.294207
| 6.692855
| 6.772258
| 6.778337
| 6.664756
| 6.540722
| 6.486531
| 6.953962
| 6.54015
|
2101.01691
|
Dionisio Bazeia
|
D. Bazeia, M.A. Liao, M.A. Marques
|
Multimagnetic Monopoles
|
10 pages, 16 figures; version to appear in EPJC
|
Eur. Phys. J. C 81 (2021) 552
|
10.1140/epjc/s10052-021-09352-w
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
In this work we investigate the presence of magnetic monopoles that engender
multimagnetic structures, which arise from an appropriate extension of the
$\rm{SU(2)}$ gauge group. The investigation is based on a modified relativistic
theory that contain several gauge and matter fields, leading to a Bogomol'nyi
bound and thus to a first order framework, from which stable multimagnetic
solutions can be constructed. We illustrate our findings with several examples
of stable magnetic monopoles with multimagnetic properties.
|
[
{
"created": "Tue, 5 Jan 2021 18:35:47 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Jan 2021 20:35:26 GMT",
"version": "v2"
},
{
"created": "Thu, 28 Jan 2021 01:33:12 GMT",
"version": "v3"
},
{
"created": "Tue, 22 Jun 2021 23:21:40 GMT",
"version": "v4"
}
] |
2021-08-04
|
[
[
"Bazeia",
"D.",
""
],
[
"Liao",
"M. A.",
""
],
[
"Marques",
"M. A.",
""
]
] |
In this work we investigate the presence of magnetic monopoles that engender multimagnetic structures, which arise from an appropriate extension of the $\rm{SU(2)}$ gauge group. The investigation is based on a modified relativistic theory that contain several gauge and matter fields, leading to a Bogomol'nyi bound and thus to a first order framework, from which stable multimagnetic solutions can be constructed. We illustrate our findings with several examples of stable magnetic monopoles with multimagnetic properties.
| 13.157495
| 10.085205
| 13.017591
| 10.20852
| 9.382657
| 10.653644
| 10.34892
| 10.918573
| 10.479663
| 12.366008
| 11.286057
| 11.480939
| 11.841931
| 11.212598
| 10.98155
| 11.142877
| 11.02087
| 11.474516
| 11.524923
| 11.614923
| 11.388772
|
hep-th/9904133
|
Pei-Ming Ho
|
Chong-Sun Chu, Pei-Ming Ho, Yeong-Chuan Kao
|
Worldvolume Uncertainty Relations for D-Branes
|
19 pages, minor modification on p.8
|
Phys. Rev. D 60, 126003 (1999)
|
10.1103/PhysRevD.60.126003
|
NEIP-99-006
|
hep-th
| null |
By quantizing an open string ending on a D-brane in a nontrivial supergravity
background, we argue that there is a new kind of uncertainty relation on a
D-brane worldvolume. Furthermore, we fix the form of the uncertainty relations
and their dependence on the string coupling constant by requiring them to be
consistent with various string theory and M theory dualities. In this way we
find a web of uncertainties of spacetime for all kinds of brane probes,
including fundamental strings, D-branes of all dimensions as well as M theory
membranes and fivebranes.
|
[
{
"created": "Tue, 20 Apr 1999 13:54:18 GMT",
"version": "v1"
},
{
"created": "Sat, 8 May 1999 08:35:58 GMT",
"version": "v2"
},
{
"created": "Mon, 9 Aug 1999 07:32:39 GMT",
"version": "v3"
}
] |
2016-08-25
|
[
[
"Chu",
"Chong-Sun",
""
],
[
"Ho",
"Pei-Ming",
""
],
[
"Kao",
"Yeong-Chuan",
""
]
] |
By quantizing an open string ending on a D-brane in a nontrivial supergravity background, we argue that there is a new kind of uncertainty relation on a D-brane worldvolume. Furthermore, we fix the form of the uncertainty relations and their dependence on the string coupling constant by requiring them to be consistent with various string theory and M theory dualities. In this way we find a web of uncertainties of spacetime for all kinds of brane probes, including fundamental strings, D-branes of all dimensions as well as M theory membranes and fivebranes.
| 7.946384
| 7.081235
| 8.66687
| 7.121489
| 7.450993
| 6.938404
| 7.167739
| 7.284848
| 7.211874
| 8.570788
| 7.343249
| 7.150324
| 7.849761
| 7.154178
| 7.252421
| 7.004488
| 7.396934
| 6.918127
| 7.427835
| 8.092442
| 7.221676
|
1904.05810
|
Suddhasattwa Brahma
|
Suddhasattwa Brahma and Md. Wali Hossain
|
Relating the scalar weak gravity conjecture and the swampland distance
conjecture for an accelerating universe
|
17 pages, 5 figures, comments welcome; v2: refs updated; v3: matches
published version
|
Phys. Rev. D 100, 086017 (2019)
|
10.1103/PhysRevD.100.086017
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
For any quasi de Sitter background, we show that a recently proposed scalar
weak gravity conjecture (sWGC) follows from the swampland distance conjecture,
together with the covariant entropy bound. While pointing out the limitations
of our argument, we suggest how further generalizations of our result might
indicate that the shape of the potential of a scalar field in a low-energy
effective field theory gets highly constrained due to the distance conjecture
alone, going beyond the refined de Sitter conjecture. We also correct some
previous comments regarding cosmological implications of the sWGC.
|
[
{
"created": "Thu, 11 Apr 2019 16:10:45 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Apr 2019 08:44:27 GMT",
"version": "v2"
},
{
"created": "Wed, 23 Oct 2019 14:42:33 GMT",
"version": "v3"
}
] |
2019-10-24
|
[
[
"Brahma",
"Suddhasattwa",
""
],
[
"Hossain",
"Md. Wali",
""
]
] |
For any quasi de Sitter background, we show that a recently proposed scalar weak gravity conjecture (sWGC) follows from the swampland distance conjecture, together with the covariant entropy bound. While pointing out the limitations of our argument, we suggest how further generalizations of our result might indicate that the shape of the potential of a scalar field in a low-energy effective field theory gets highly constrained due to the distance conjecture alone, going beyond the refined de Sitter conjecture. We also correct some previous comments regarding cosmological implications of the sWGC.
| 11.481577
| 9.872491
| 11.473967
| 9.477582
| 9.590824
| 9.087797
| 10.827463
| 9.753671
| 9.625518
| 12.198878
| 9.593808
| 9.864863
| 10.340421
| 10.073641
| 10.00795
| 9.879178
| 9.812902
| 9.83958
| 9.911529
| 10.192693
| 10.045843
|
hep-th/9910097
|
Vladimir Nesterenko
|
V.V. Nesterenko and I.G. Pirozhenko
|
Spectral Zeta Functions for a Cylinder and a Circle
|
REVTeX4, 13 pages, no tables and figures; v2 some misprints are
corrected
|
J.Math.Phys. 41 (2000) 4521-4531
|
10.1063/1.533358
| null |
hep-th
| null |
Spectral zeta functions $\zeta(s)$ for the massless scalar fields obeying the
Dirichlet and Neumann boundary conditions on a surface of an infinite cylinder
are constructed. These functions are defined explicitly in a finite domain of
the complex plane s containing the closed interval of real axis $-1\le$ Re $s
\le 0$. Proceeding from this the spectral zeta functions for the boundary
conditions given on a circle (boundary value problem on a plane) are obtained
without any additional calculations. The Casimir energy for the relevant field
configurations is deduced.
|
[
{
"created": "Tue, 12 Oct 1999 18:05:14 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Jan 2007 18:04:07 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Nesterenko",
"V. V.",
""
],
[
"Pirozhenko",
"I. G.",
""
]
] |
Spectral zeta functions $\zeta(s)$ for the massless scalar fields obeying the Dirichlet and Neumann boundary conditions on a surface of an infinite cylinder are constructed. These functions are defined explicitly in a finite domain of the complex plane s containing the closed interval of real axis $-1\le$ Re $s \le 0$. Proceeding from this the spectral zeta functions for the boundary conditions given on a circle (boundary value problem on a plane) are obtained without any additional calculations. The Casimir energy for the relevant field configurations is deduced.
| 10.123139
| 10.956849
| 11.032564
| 8.486067
| 9.673904
| 9.671788
| 9.87859
| 9.322485
| 9.491715
| 10.843718
| 10.006946
| 8.495211
| 9.390699
| 8.474796
| 8.760112
| 8.657061
| 8.79631
| 8.146917
| 8.753103
| 9.541676
| 8.834501
|
1508.00716
|
Mohamed Anber
|
Mohamed M. Anber, Mikhail Shifman
|
Impact of Axions on Confinement in Three and Two Dimensions
|
23 pages, 4 figures
|
Phys. Rev. D 92, 065020 (2015)
|
10.1103/PhysRevD.92.065020
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we discuss well-known three- and two-dimensional models with
confinement, namely, the Polyakov compact electrodynamics in 3D and
two-dimensional CP(N-1) sigma model, and reveal changes in the confining
regimes of these model upon adding the axion field. In both cases the addition
of axion has a drastic impact. In the CP(N-1) model the axion-induced
deconfinement was known previously, but we discuss a new feature not considered
in the previous publication.
|
[
{
"created": "Tue, 4 Aug 2015 09:34:23 GMT",
"version": "v1"
}
] |
2015-09-30
|
[
[
"Anber",
"Mohamed M.",
""
],
[
"Shifman",
"Mikhail",
""
]
] |
In this paper we discuss well-known three- and two-dimensional models with confinement, namely, the Polyakov compact electrodynamics in 3D and two-dimensional CP(N-1) sigma model, and reveal changes in the confining regimes of these model upon adding the axion field. In both cases the addition of axion has a drastic impact. In the CP(N-1) model the axion-induced deconfinement was known previously, but we discuss a new feature not considered in the previous publication.
| 12.19458
| 9.730376
| 10.745214
| 9.563941
| 9.511964
| 9.873932
| 10.09675
| 9.622742
| 10.186584
| 11.76889
| 9.594135
| 9.615249
| 10.387354
| 10.028921
| 9.813089
| 9.649999
| 9.655407
| 9.822071
| 9.519959
| 10.250437
| 9.539802
|
2203.13018
|
Enrico Herrmann
|
Enrico Herrmann, Jaroslav Trnka
|
The SAGEX Review on Scattering Amplitudes, Chapter 7: Positive Geometry
of Scattering Amplitudes
|
35 pages, see also the overview article arXiv:2203.13011; updated
references to match journal article
|
Journal of Physics A: Mathematical and Theoretical, Volume 55,
Number 44, 2022
|
10.1088/1751-8121/ac8709
|
SAGEX-22-08
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Scattering amplitudes are both a wonderful playground to discover novel ideas
in Quantum Field Theory and simultaneously of immense phenomenological
importance to make precision predictions for e.g.~particle collider observables
and more recently also for gravitational wave signals. In this review chapter,
we give an overview of some of the exciting recent progress on reformulating
QFT in terms of mathematical, geometric quantities, such as polytopes,
associahedra, Grassmanians, and the amplituhedron. In this novel approach,
standard notions of locality and unitarity are derived concepts rather than
fundamental ingredients in the construction which might give us a handle on a
number of open questions in QFT that have evaded an answer for decades. We
first give a basic summary of positive geometry, before discussing the
associahedron -- one of the simplest physically relevant geometric examples --
and its relation to tree-level scattering amplitudes in bi-adjoint $\phi^3$
theory. Our second example is the amplituhedron construction for scattering
amplitudes in planar maximally supersymmetric Yang-Mills theory.
|
[
{
"created": "Thu, 24 Mar 2022 12:00:22 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Feb 2023 22:15:18 GMT",
"version": "v2"
}
] |
2023-02-24
|
[
[
"Herrmann",
"Enrico",
""
],
[
"Trnka",
"Jaroslav",
""
]
] |
Scattering amplitudes are both a wonderful playground to discover novel ideas in Quantum Field Theory and simultaneously of immense phenomenological importance to make precision predictions for e.g.~particle collider observables and more recently also for gravitational wave signals. In this review chapter, we give an overview of some of the exciting recent progress on reformulating QFT in terms of mathematical, geometric quantities, such as polytopes, associahedra, Grassmanians, and the amplituhedron. In this novel approach, standard notions of locality and unitarity are derived concepts rather than fundamental ingredients in the construction which might give us a handle on a number of open questions in QFT that have evaded an answer for decades. We first give a basic summary of positive geometry, before discussing the associahedron -- one of the simplest physically relevant geometric examples -- and its relation to tree-level scattering amplitudes in bi-adjoint $\phi^3$ theory. Our second example is the amplituhedron construction for scattering amplitudes in planar maximally supersymmetric Yang-Mills theory.
| 7.92354
| 8.485625
| 8.561776
| 7.41856
| 8.088607
| 7.662895
| 8.115118
| 7.593421
| 7.508882
| 9.175888
| 7.495447
| 7.351367
| 7.629949
| 7.368042
| 7.464698
| 7.545354
| 7.59569
| 7.388011
| 7.418005
| 7.778897
| 7.393443
|
1304.4796
|
Matsuo Sato
|
Matsuo Sato
|
Extension of IIB Matrix Model by Three-Algebra
|
13 pages, review part deleted, typos corrected
| null |
10.1142/S0217751X13500838
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct a Lie 3-algebra extended model of the IIB matrix model. It
admits any Lie 3-algebra and possesses the same supersymmetry as the original
matrix model, and thus as type IIB superstring theory. We examine dynamics of
the model by taking minimal Lie 3-algebra that includes u(N) Lie algebra as an
example. There are two phases in the minimally extended model at least
classically. The extended action reduces to that of the IIB matrix model in one
phase. In other phase, it reduces to a more simple action, which is rather easy
to analyze.
|
[
{
"created": "Wed, 17 Apr 2013 12:41:05 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Apr 2013 13:04:55 GMT",
"version": "v2"
}
] |
2015-06-15
|
[
[
"Sato",
"Matsuo",
""
]
] |
We construct a Lie 3-algebra extended model of the IIB matrix model. It admits any Lie 3-algebra and possesses the same supersymmetry as the original matrix model, and thus as type IIB superstring theory. We examine dynamics of the model by taking minimal Lie 3-algebra that includes u(N) Lie algebra as an example. There are two phases in the minimally extended model at least classically. The extended action reduces to that of the IIB matrix model in one phase. In other phase, it reduces to a more simple action, which is rather easy to analyze.
| 9.776564
| 7.926716
| 11.039508
| 8.720835
| 8.534222
| 8.930049
| 8.936472
| 8.76788
| 8.634457
| 11.652755
| 8.559437
| 9.136775
| 9.514121
| 9.087453
| 8.953218
| 9.303304
| 9.161163
| 8.973496
| 9.006538
| 9.965926
| 9.045515
|
0906.5183
|
Daniel Are\'an
|
Daniel Arean
|
Holographic flavor in the gauge/gravity duality
|
PhD Thesis. July 2008. (Advisor: Alfonso V. Ramallo)
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we review some results on the generalization of the
gauge/gravity duality to include fundamental matter by means of probe branes.
We compute the meson spectrum of maximally supersymmetric gauge theories in
several dimensions, both in the Coulomb and Higgs branch. We also study the
addition of flavor and compute the meson spectrum for non-commutative theories.
Additionally, we present a thorough search of supersymmetric embeddings of
probe branes in the Klebanov-Witten model.
|
[
{
"created": "Mon, 29 Jun 2009 00:16:25 GMT",
"version": "v1"
}
] |
2009-06-30
|
[
[
"Arean",
"Daniel",
""
]
] |
In this paper we review some results on the generalization of the gauge/gravity duality to include fundamental matter by means of probe branes. We compute the meson spectrum of maximally supersymmetric gauge theories in several dimensions, both in the Coulomb and Higgs branch. We also study the addition of flavor and compute the meson spectrum for non-commutative theories. Additionally, we present a thorough search of supersymmetric embeddings of probe branes in the Klebanov-Witten model.
| 6.937081
| 5.895726
| 8.120676
| 5.92195
| 5.770566
| 5.953672
| 6.080762
| 6.11269
| 6.260799
| 8.076767
| 6.159954
| 6.277708
| 6.974554
| 6.262362
| 6.220022
| 6.506288
| 6.335447
| 6.155851
| 6.33503
| 6.787492
| 6.232641
|
hep-th/9607147
|
Sasha
|
Laurent Baulieu (LPTHE), Alexander Rozenberg (NYU), Martin Schaden
(NYU)
|
Topological Aspects of Gauge Fixing Yang-Mills Theory on S4
|
13 pages, uuencoded and compressed LaTeX file, no figures
|
Phys.Rev. D54 (1996) 7825-7831
|
10.1103/PhysRevD.54.7825
|
NYU-TH-96/05/03
|
hep-th
| null |
For an $S_4$ space-time manifold global aspects of gauge-fixing are
investigated using the relation to Topological Quantum Field Theory on the
gauge group. The partition function of this TQFT is shown to compute the
regularized Euler character of a suitably defined space of gauge
transformations. Topological properties of the space of solutions to a
covariant gauge conditon on the orbit of a particular instanton are found using
the $SO(5)$ isometry group of the $S_4$ base manifold. We obtain that the Euler
character of this space differs from that of an orbit in the topologically
trivial sector. This result implies that an orbit with Pontryagin number
$\k=\pm1$ in covariant gauges on $S_4$ contributes to physical correlation
functions with a different multiplicity factor due to the Gribov copies, than
an orbit in the trivial $\k=0$ sector. Similar topological arguments show that
there is no contribution from the topologically trivial sector to physical
correlation functions in gauges defined by a nondegenerate background
connection. We discuss possible physical implications of the global gauge
dependence of Yang-Mills theory.
|
[
{
"created": "Wed, 17 Jul 1996 23:13:49 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Baulieu",
"Laurent",
"",
"LPTHE"
],
[
"Rozenberg",
"Alexander",
"",
"NYU"
],
[
"Schaden",
"Martin",
"",
"NYU"
]
] |
For an $S_4$ space-time manifold global aspects of gauge-fixing are investigated using the relation to Topological Quantum Field Theory on the gauge group. The partition function of this TQFT is shown to compute the regularized Euler character of a suitably defined space of gauge transformations. Topological properties of the space of solutions to a covariant gauge conditon on the orbit of a particular instanton are found using the $SO(5)$ isometry group of the $S_4$ base manifold. We obtain that the Euler character of this space differs from that of an orbit in the topologically trivial sector. This result implies that an orbit with Pontryagin number $\k=\pm1$ in covariant gauges on $S_4$ contributes to physical correlation functions with a different multiplicity factor due to the Gribov copies, than an orbit in the trivial $\k=0$ sector. Similar topological arguments show that there is no contribution from the topologically trivial sector to physical correlation functions in gauges defined by a nondegenerate background connection. We discuss possible physical implications of the global gauge dependence of Yang-Mills theory.
| 10.291682
| 10.885077
| 11.655441
| 9.947827
| 10.50446
| 10.809867
| 10.253192
| 10.427613
| 10.090142
| 13.182944
| 9.536945
| 9.772681
| 10.117686
| 9.809085
| 9.777927
| 10.159853
| 10.062661
| 9.748136
| 10.001629
| 10.475144
| 9.658175
|
2012.04677
|
Niccol\`o Cribiori
|
Niccol\`o Cribiori, Susha Parameswaran, Flavio Tonioni and Timm Wrase
|
Misaligned Supersymmetry and Open Strings
|
45 pages + one appendix + references. v2: minor corrections +
references added; to appear on JHEP
| null |
10.1007/JHEP04(2021)099
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The study of non-supersymmetric string theories is shedding light on an
important corner of the string landscape and might ultimately explain why, so
far, we did not observe supersymmetry in our universe. We review how misaligned
supersymmetry in closed-string theories leads to a cancellation between bosons
and fermions even in non-supersymmetric string theories. We then show that the
same cancellation takes place for open strings by studying an anti-D$p$-brane
placed on top of an O$p$-plane in type II string theory. Misaligned
supersymmetry consists in cancellations between bosons and fermions at
\emph{different} energy levels, in such a way that the averaged number of
states grows at a rate dominated by a factor
$\mathrm{e}^{C_{\mathrm{eff}}\sqrt{n}}$, with
$C_{\mathrm{eff}}<C_{\mathrm{tot}}$, where $C_{\mathrm{tot}}$ is the inverse
Hagedorn temperature. We prove the previously conjectured complete
cancellation, i.e. we prove that $C_{\mathrm{eff}}=0$, for a vast class of
models.
|
[
{
"created": "Tue, 8 Dec 2020 19:01:38 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Apr 2021 15:25:59 GMT",
"version": "v2"
}
] |
2021-04-28
|
[
[
"Cribiori",
"Niccolò",
""
],
[
"Parameswaran",
"Susha",
""
],
[
"Tonioni",
"Flavio",
""
],
[
"Wrase",
"Timm",
""
]
] |
The study of non-supersymmetric string theories is shedding light on an important corner of the string landscape and might ultimately explain why, so far, we did not observe supersymmetry in our universe. We review how misaligned supersymmetry in closed-string theories leads to a cancellation between bosons and fermions even in non-supersymmetric string theories. We then show that the same cancellation takes place for open strings by studying an anti-D$p$-brane placed on top of an O$p$-plane in type II string theory. Misaligned supersymmetry consists in cancellations between bosons and fermions at \emph{different} energy levels, in such a way that the averaged number of states grows at a rate dominated by a factor $\mathrm{e}^{C_{\mathrm{eff}}\sqrt{n}}$, with $C_{\mathrm{eff}}<C_{\mathrm{tot}}$, where $C_{\mathrm{tot}}$ is the inverse Hagedorn temperature. We prove the previously conjectured complete cancellation, i.e. we prove that $C_{\mathrm{eff}}=0$, for a vast class of models.
| 6.607033
| 7.00108
| 7.892909
| 6.46103
| 7.129667
| 6.367652
| 7.029491
| 6.719579
| 6.391513
| 7.90144
| 6.302287
| 6.481707
| 7.114697
| 6.544411
| 6.61304
| 6.718974
| 6.471382
| 6.644326
| 6.4695
| 6.977803
| 6.344011
|
hep-th/0602131
|
Korkut Bardakci
|
Korkut Bardakci
|
Summing Planar Bosonic Strings
|
Latex, 25 pages, 5 figures, typos corrected, a paragraph, a note,
acknowledgements and more references added
|
Nucl.Phys.B746:136-154,2006
|
10.1016/j.nuclphysb.2006.04.012
|
LBNL-59617
|
hep-th
| null |
In earlier work, planar graphs of massless phi^3 theory were summed with the
help of the light cone world sheet picture and the mean field approximation. In
the present article, the same methods are applied to the problem of summing
planar bosonic open strings. We find that in the ground state of the system,
string boundaries form a condensate on the world sheet, and a new string
emerges from this summation. Its slope is always greater than the initial
slope, and it remains non-zero even when the initial slope is set equal to
zero. If we assume that the initial string tends to some field theory in the
zero slope limit, this result provides evidence for string formation in field
theory.
|
[
{
"created": "Mon, 13 Feb 2006 19:16:06 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Feb 2006 18:17:15 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Bardakci",
"Korkut",
""
]
] |
In earlier work, planar graphs of massless phi^3 theory were summed with the help of the light cone world sheet picture and the mean field approximation. In the present article, the same methods are applied to the problem of summing planar bosonic open strings. We find that in the ground state of the system, string boundaries form a condensate on the world sheet, and a new string emerges from this summation. Its slope is always greater than the initial slope, and it remains non-zero even when the initial slope is set equal to zero. If we assume that the initial string tends to some field theory in the zero slope limit, this result provides evidence for string formation in field theory.
| 13.262249
| 9.264312
| 13.162761
| 10.428515
| 11.365631
| 11.093363
| 12.002666
| 10.830339
| 10.570275
| 13.620069
| 11.484238
| 11.464929
| 11.454697
| 10.88292
| 11.214956
| 11.295836
| 11.391722
| 11.077934
| 10.407366
| 11.789305
| 11.978842
|
hep-th/0702135
|
Ansar Fayyazuddin
|
Ansar Fayyazuddin
|
Calabi-Yau 3-folds from 2-folds
|
30 pages
|
Class.Quant.Grav.24:3151-3170,2007
|
10.1088/0264-9381/24/13/002
|
BCCUNY-HEP /07-01
|
hep-th
| null |
We consider type IIA string theory on a Calabi-Yau 2-fold with D6-branes
wrapping 2-cycles in the 2-fold. We find a complete set of conditions on the
supergravity solution for any given wrapped brane configuration in terms of
SU(2) structures. We reduce the problem of finding a supergravity solution for
the wrapped branes to finding a harmonic function on R$\times$CY$_2$. We then
lift this solution to 11-dimensions as a product of R$^{(4.1)}$ and a
Calabi-Yau 3-fold. We show how the metric on the 3-fold is determined in terms
of the wrapped brane solution. We write down the distinguished (3,0) form and
the K{\"a}hler form of the 3-fold in terms of structures defined on the base
2-d complex manifold. We discuss the topology of the 3-fold in terms of the
D6-branes and the underlying 2-fold. We show that in addition to the
non-trivial cycles inherited from the underlying 2-fold there are $N-1$ new
2-cycles. We construct closed (1,1) forms corresponding to these new cycles. We
also display some explicit examples. One of our examples is that of D6-branes
wrapping the 2-cycle in an A$_1$ ALE space, the resulting 3-fold has
$h^{(1,1)}=N$, where $N$ is the number of D6-branes.
|
[
{
"created": "Fri, 16 Feb 2007 19:01:58 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Fayyazuddin",
"Ansar",
""
]
] |
We consider type IIA string theory on a Calabi-Yau 2-fold with D6-branes wrapping 2-cycles in the 2-fold. We find a complete set of conditions on the supergravity solution for any given wrapped brane configuration in terms of SU(2) structures. We reduce the problem of finding a supergravity solution for the wrapped branes to finding a harmonic function on R$\times$CY$_2$. We then lift this solution to 11-dimensions as a product of R$^{(4.1)}$ and a Calabi-Yau 3-fold. We show how the metric on the 3-fold is determined in terms of the wrapped brane solution. We write down the distinguished (3,0) form and the K{\"a}hler form of the 3-fold in terms of structures defined on the base 2-d complex manifold. We discuss the topology of the 3-fold in terms of the D6-branes and the underlying 2-fold. We show that in addition to the non-trivial cycles inherited from the underlying 2-fold there are $N-1$ new 2-cycles. We construct closed (1,1) forms corresponding to these new cycles. We also display some explicit examples. One of our examples is that of D6-branes wrapping the 2-cycle in an A$_1$ ALE space, the resulting 3-fold has $h^{(1,1)}=N$, where $N$ is the number of D6-branes.
| 5.681417
| 5.910442
| 6.60388
| 5.763769
| 5.691411
| 6.227209
| 5.874465
| 5.751936
| 5.733205
| 7.01198
| 5.740655
| 5.807792
| 6.028973
| 5.6902
| 5.717612
| 5.934677
| 5.826509
| 5.66819
| 5.713386
| 5.880602
| 5.575475
|
hep-th/9812044
|
Dimitri Polyakov
|
Dimitri Polyakov
|
On the NSR formulation of String Theory on AdS_5 X S^5
|
15 pages more corrections and references added
|
Phys.Lett. B470 (1999) 103-111
|
10.1016/S0370-2693(99)01248-4
| null |
hep-th
| null |
We discuss the NSR formulation of the superstring action on AdS_5 X S^5
proposed recently by Kallosh and Tseytlin in the Green-Schwarz formalism.We
show that the stress-energy tensor corresponding to the NSR action for AdS
superstring contains the branelike terms, corresponding to exotic massless
vertex operators (refered to as the branelike vertices). The corresponding
sigma-model action has the manifest SO(1,3) X SO(6) invariance of superstring
theory on AdS_5 X S^5. We argue that adding the branelike terms is equivalent
to curving the space-time to obtain the AdS_5 X S^5 background. We commence the
study of the proposed NSR sigma-model by analyzing the scattering amplitudes
involving the branelike vertex operators.The analysis shows quite an unusual
momentum dependence of these scattering amplitudes.
|
[
{
"created": "Fri, 4 Dec 1998 18:16:53 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Dec 1998 16:52:05 GMT",
"version": "v2"
},
{
"created": "Tue, 15 Dec 1998 19:18:16 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Polyakov",
"Dimitri",
""
]
] |
We discuss the NSR formulation of the superstring action on AdS_5 X S^5 proposed recently by Kallosh and Tseytlin in the Green-Schwarz formalism.We show that the stress-energy tensor corresponding to the NSR action for AdS superstring contains the branelike terms, corresponding to exotic massless vertex operators (refered to as the branelike vertices). The corresponding sigma-model action has the manifest SO(1,3) X SO(6) invariance of superstring theory on AdS_5 X S^5. We argue that adding the branelike terms is equivalent to curving the space-time to obtain the AdS_5 X S^5 background. We commence the study of the proposed NSR sigma-model by analyzing the scattering amplitudes involving the branelike vertex operators.The analysis shows quite an unusual momentum dependence of these scattering amplitudes.
| 8.785793
| 8.363235
| 8.543298
| 7.567087
| 8.724704
| 8.258844
| 8.22427
| 7.897046
| 7.796351
| 9.368078
| 7.87349
| 7.801074
| 8.597675
| 8.007702
| 7.847749
| 7.893966
| 8.060477
| 7.876516
| 7.944057
| 8.669566
| 7.826004
|
1002.0956
|
Ali Zahabi
|
Miklos L{\aa}ngvik, Ali Zahabi
|
On Finite Noncommutativity in Quantum Field Theory
|
13 pages, reference added
|
Int.J.Mod.Phys.A25: 2955-2964,2010
|
10.1142/S0217751X10049268
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider various modifications of the Weyl-Moyal star-product, in order to
obtain a finite range of nonlocality. The basic requirements are to preserve
the commutation relations of the coordinates as well as the associativity of
the new product. We show that a modification of the differential representation
of the Weyl-Moyal star-product by an exponential function of derivatives will
not lead to a finite range of nonlocality. We also modify the integral kernel
of the star-product introducing a Gaussian damping, but find a nonassociative
product which remains infinitely nonlocal. We are therefore led to propose that
the Weyl-Moyal product should be modified by a cutoff like function, in order
to remove the infinite nonlocality of the product. We provide such a product,
but it appears that one has to abandon the possibility of analytic calculation
with the new product.
|
[
{
"created": "Thu, 4 Feb 2010 12:44:06 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Mar 2010 20:30:48 GMT",
"version": "v2"
},
{
"created": "Wed, 2 Jun 2010 14:01:19 GMT",
"version": "v3"
}
] |
2015-05-18
|
[
[
"Långvik",
"Miklos",
""
],
[
"Zahabi",
"Ali",
""
]
] |
We consider various modifications of the Weyl-Moyal star-product, in order to obtain a finite range of nonlocality. The basic requirements are to preserve the commutation relations of the coordinates as well as the associativity of the new product. We show that a modification of the differential representation of the Weyl-Moyal star-product by an exponential function of derivatives will not lead to a finite range of nonlocality. We also modify the integral kernel of the star-product introducing a Gaussian damping, but find a nonassociative product which remains infinitely nonlocal. We are therefore led to propose that the Weyl-Moyal product should be modified by a cutoff like function, in order to remove the infinite nonlocality of the product. We provide such a product, but it appears that one has to abandon the possibility of analytic calculation with the new product.
| 8.016011
| 7.804159
| 7.973091
| 7.66583
| 7.58233
| 7.856602
| 7.607891
| 7.587119
| 7.307348
| 8.085927
| 7.853296
| 7.563004
| 7.857518
| 7.559193
| 7.78041
| 7.637007
| 7.807685
| 7.493064
| 7.576805
| 8.135001
| 7.618052
|
hep-th/9607096
| null |
Raimar Wulkenhaar
|
The Standard Model within Non-associative Geometry
|
9 pages. LaTeX 2e, styles: amsart, a4, array, eqnarray, bbm,
mathrsfs, cite
|
Phys.Lett. B390 (1997) 119-127
|
10.1016/S0370-2693(96)01336-6
| null |
hep-th
| null |
We present the construction of the standard model within the framework of
non--associative geometry. For the simplest scalar product we get the
tree--level predictions $m_W=\frac{1}{2} m_t\,,$ $m_H=\frac{3}{2} m_t$ and
$\sin^2 \theta_W= \frac{3}{8}.$ These relations differ slightly from
predictions derived in non--commutative geometry.
|
[
{
"created": "Fri, 12 Jul 1996 12:55:16 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Wulkenhaar",
"Raimar",
""
]
] |
We present the construction of the standard model within the framework of non--associative geometry. For the simplest scalar product we get the tree--level predictions $m_W=\frac{1}{2} m_t\,,$ $m_H=\frac{3}{2} m_t$ and $\sin^2 \theta_W= \frac{3}{8}.$ These relations differ slightly from predictions derived in non--commutative geometry.
| 7.771958
| 7.210748
| 6.754974
| 6.198405
| 6.697015
| 7.526295
| 7.497472
| 6.314908
| 6.30372
| 7.994511
| 6.696951
| 7.020375
| 6.891757
| 6.737108
| 6.989506
| 7.06183
| 6.947176
| 6.865446
| 6.737565
| 6.968097
| 7.467858
|
1410.0479
|
Krzysztof Andrzejewski
|
K. Andrzejewski
|
Hamiltonian formalisms and symmetries of the Pais-Uhlenbeck oscillator
|
Published version
| null |
10.1016/j.nuclphysb.2014.10.024
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The study of the symmetry of Pais-Uhlenbeck oscillator initiated in [Nucl.
Phys. B 885 (2014) 150] is continued with special emphasis put on the
Hamiltonian formalism. The symmetry generators within the original Pais and
Uhlenbeck Hamiltonian approach as well as the canonical transformation to the
Ostrogradski Hamiltonian framework are derived. The resulting algebra of
generators appears to be the central extension of the one obtained on the
Lagrangian level; in particular, in the case of odd frequencies one obtains the
centrally extended l-conformal Newton-Hooke algebra. In this important case the
canonical transformation to an alternative Hamiltonian formalism (related to
the free higher derivatives theory) is constructed. It is shown that all
generators can be expressed in terms of the ones for the free theory and the
result agrees with that obtained by the orbit method.
|
[
{
"created": "Thu, 2 Oct 2014 08:29:55 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Oct 2014 19:16:08 GMT",
"version": "v2"
}
] |
2014-11-05
|
[
[
"Andrzejewski",
"K.",
""
]
] |
The study of the symmetry of Pais-Uhlenbeck oscillator initiated in [Nucl. Phys. B 885 (2014) 150] is continued with special emphasis put on the Hamiltonian formalism. The symmetry generators within the original Pais and Uhlenbeck Hamiltonian approach as well as the canonical transformation to the Ostrogradski Hamiltonian framework are derived. The resulting algebra of generators appears to be the central extension of the one obtained on the Lagrangian level; in particular, in the case of odd frequencies one obtains the centrally extended l-conformal Newton-Hooke algebra. In this important case the canonical transformation to an alternative Hamiltonian formalism (related to the free higher derivatives theory) is constructed. It is shown that all generators can be expressed in terms of the ones for the free theory and the result agrees with that obtained by the orbit method.
| 7.098098
| 7.096646
| 8.935042
| 7.591911
| 7.338873
| 7.289946
| 7.848542
| 7.74259
| 7.390203
| 9.613023
| 7.45695
| 7.220089
| 7.88549
| 7.51693
| 7.522468
| 7.130448
| 7.42547
| 7.128231
| 7.63502
| 7.676577
| 7.542976
|
hep-th/9811079
|
Igor Shovkovy
|
V. P. Gusynin, V. A. Miransky and I. A. Shovkovy
|
Dynamical Chiral Symmetry Breaking in QED in a Magnetic Field: Toward
Exact Results
|
4 pages, 1 figure, REVTeX. Final version accepted for publication in
Physical Review Letters
|
Phys.Rev.Lett. 83 (1999) 1291-1294
|
10.1103/PhysRevLett.83.1291
|
UCTP-114-98
|
hep-th hep-ph
| null |
We describe a (first, to the best of our knowledge) essentially soluble
example of dynamical symmetry breaking phenomenon in a 3+1 dimensional gauge
theory without fundamental scalar fields: QED in a constant magnetic field.
|
[
{
"created": "Mon, 9 Nov 1998 14:54:21 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Nov 1998 15:20:05 GMT",
"version": "v2"
},
{
"created": "Wed, 14 Jul 1999 13:55:21 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Gusynin",
"V. P.",
""
],
[
"Miransky",
"V. A.",
""
],
[
"Shovkovy",
"I. A.",
""
]
] |
We describe a (first, to the best of our knowledge) essentially soluble example of dynamical symmetry breaking phenomenon in a 3+1 dimensional gauge theory without fundamental scalar fields: QED in a constant magnetic field.
| 16.706821
| 11.861658
| 10.952973
| 12.004504
| 10.136885
| 11.207251
| 12.132621
| 11.363724
| 9.88262
| 13.642344
| 13.05232
| 11.073505
| 11.376719
| 11.187678
| 11.077681
| 10.88214
| 10.846319
| 11.287023
| 11.703637
| 11.57107
| 12.226968
|
0708.0803
|
Scott A. Yost
|
M.Yu. Kalmykov, B.F.L. Ward, S.A. Yost
|
On the all-order epsilon-expansion of generalized hypergeometric
functions with integer values of parameters
|
12 pages, Latex + amsmath, JHEP3 class packages. This revision adds
references 1 and 19. The FORM code is available via the WWW at
http://theor.jinr.ru/~kalmykov/hypergeom/hyper.html
|
JHEP 0711:009,2007
|
10.1088/1126-6708/2007/11/009
|
BU-HEPP-07-09
|
hep-th hep-ph math-ph math.CA math.MP
| null |
We continue our study of the construction of analytical coefficients of the
epsilon-expansion of hypergeometric functions and their connection with Feynman
diagrams. In this paper, we apply the approach of obtaining iteratated
solutions to the differential equations associated with hypergeometric
functions to prove the following result (Theorem 1): The epsilon-expansion of a
generalized hypergeometric function with integer values of parameters is
expressible in terms of generalized polylogarithms with coefficients that are
ratios of polynomials. The method used in this proof provides an efficient
algorithm for calculatiing of the higher-order coefficients of Laurent
expansion.
|
[
{
"created": "Mon, 6 Aug 2007 17:39:28 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Nov 2007 03:59:27 GMT",
"version": "v2"
}
] |
2009-04-03
|
[
[
"Kalmykov",
"M. Yu.",
""
],
[
"Ward",
"B. F. L.",
""
],
[
"Yost",
"S. A.",
""
]
] |
We continue our study of the construction of analytical coefficients of the epsilon-expansion of hypergeometric functions and their connection with Feynman diagrams. In this paper, we apply the approach of obtaining iteratated solutions to the differential equations associated with hypergeometric functions to prove the following result (Theorem 1): The epsilon-expansion of a generalized hypergeometric function with integer values of parameters is expressible in terms of generalized polylogarithms with coefficients that are ratios of polynomials. The method used in this proof provides an efficient algorithm for calculatiing of the higher-order coefficients of Laurent expansion.
| 10.3153
| 8.837706
| 10.193414
| 9.036012
| 10.387311
| 11.866727
| 10.260242
| 9.024255
| 8.801746
| 11.943449
| 9.14612
| 9.569043
| 9.784572
| 9.457276
| 9.506824
| 9.972743
| 10.198128
| 9.868567
| 9.533839
| 10.424812
| 9.166012
|
hep-th/0309264
|
Dan Tomino
|
Dan Tomino
|
N=2 3d-Matrix Integral with Myers Term
|
8 pages, LATEX2e
|
JHEP 0401 (2004) 062
|
10.1088/1126-6708/2004/01/062
|
KEK-TH-919
|
hep-th
| null |
An exact matrix integral is evaluated for a $2\times 2$ 3-dimensional matrix
model with Myers term. We derive weak and strong coupling expansions of the
effective action. We also calculate the expectation values of the quadratic and
cubic operators. Implications for non-commutative gauge theory on fuzzy sphere
are discussed.
|
[
{
"created": "Tue, 30 Sep 2003 06:26:09 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Tomino",
"Dan",
""
]
] |
An exact matrix integral is evaluated for a $2\times 2$ 3-dimensional matrix model with Myers term. We derive weak and strong coupling expansions of the effective action. We also calculate the expectation values of the quadratic and cubic operators. Implications for non-commutative gauge theory on fuzzy sphere are discussed.
| 12.024097
| 9.298664
| 11.042321
| 8.965673
| 9.068335
| 8.826577
| 9.341359
| 8.180367
| 9.052803
| 12.215112
| 8.971941
| 9.231706
| 10.69859
| 9.527536
| 9.292535
| 9.237124
| 9.372861
| 9.42331
| 9.538978
| 10.899898
| 9.787598
|
1204.6388
|
Andre Franca
|
Gia Dvali, Andre Franca, Cesar Gomez
|
Road Signs for UV-Completion
| null | null | null | null |
hep-th gr-qc hep-ex hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We confront the concepts of Wilsonian UV-completion versus self-completion by
Classicalization in theories with derivatively-coupled scalars. We observe that
the information about the UV-completion road is encoded in the sign of the
derivative terms. We note that the sign of the derivative couplings for which
there is no consistent Wilsonian UV-completion is the one that allows for
consistent classicalons. This is an indication that for such a sign the vertex
must be treated as fundamental and the theory self-protects against potential
inconsistencies, such as superluminality, via self-completion by
classicalization. Applying this reasoning to the UV-completion of the Standard
Model, we see that the information about the Higgs versus classicalization is
encoded in the sign of the scattering amplitude of longitudinal W-bosons.
Negative sign excludes Higgs or any other weakly-coupled Wilsonian physics.
|
[
{
"created": "Sat, 28 Apr 2012 09:17:00 GMT",
"version": "v1"
}
] |
2012-05-07
|
[
[
"Dvali",
"Gia",
""
],
[
"Franca",
"Andre",
""
],
[
"Gomez",
"Cesar",
""
]
] |
We confront the concepts of Wilsonian UV-completion versus self-completion by Classicalization in theories with derivatively-coupled scalars. We observe that the information about the UV-completion road is encoded in the sign of the derivative terms. We note that the sign of the derivative couplings for which there is no consistent Wilsonian UV-completion is the one that allows for consistent classicalons. This is an indication that for such a sign the vertex must be treated as fundamental and the theory self-protects against potential inconsistencies, such as superluminality, via self-completion by classicalization. Applying this reasoning to the UV-completion of the Standard Model, we see that the information about the Higgs versus classicalization is encoded in the sign of the scattering amplitude of longitudinal W-bosons. Negative sign excludes Higgs or any other weakly-coupled Wilsonian physics.
| 12.698955
| 13.068724
| 14.127688
| 11.73597
| 13.344038
| 12.131988
| 13.400658
| 12.986322
| 12.647108
| 13.583794
| 12.328201
| 12.001628
| 12.706998
| 11.905835
| 12.143228
| 11.692838
| 11.384084
| 12.037043
| 12.017368
| 12.237465
| 11.681863
|
2007.02851
|
David A. Lowe
|
David A. Lowe and David M. Ramirez
|
BMS Symmetry via AdS/CFT
|
14 pages, 1 figure
| null |
10.1007/JHEP01(2021)075
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
With a view to understanding extended-BMS symmetries in the framework of the
$AdS_4/CFT_3$ correspondence, asymptotically AdS geometries are constructed
with null impulsive shockwaves involving a discontinuity in superrotation
parameters. The holographic dual is proposed to be a two-dimensional Euclidean
defect conformal field localized on a particular timeslice in a
three-dimensional conformal field theory on de Sitter spacetime. The defect
conformal field theory generates a natural action of the Virasoro algebra. The
large radius of curvature limit $\ell\to\infty$ yields spacetimes with
nontrivial extended-BMS charges.
|
[
{
"created": "Mon, 6 Jul 2020 16:07:58 GMT",
"version": "v1"
}
] |
2021-02-03
|
[
[
"Lowe",
"David A.",
""
],
[
"Ramirez",
"David M.",
""
]
] |
With a view to understanding extended-BMS symmetries in the framework of the $AdS_4/CFT_3$ correspondence, asymptotically AdS geometries are constructed with null impulsive shockwaves involving a discontinuity in superrotation parameters. The holographic dual is proposed to be a two-dimensional Euclidean defect conformal field localized on a particular timeslice in a three-dimensional conformal field theory on de Sitter spacetime. The defect conformal field theory generates a natural action of the Virasoro algebra. The large radius of curvature limit $\ell\to\infty$ yields spacetimes with nontrivial extended-BMS charges.
| 12.519937
| 12.604795
| 12.042564
| 10.86526
| 11.416608
| 10.778758
| 11.600779
| 10.975082
| 10.325696
| 12.661075
| 11.304043
| 11.580114
| 11.746696
| 10.97814
| 11.016539
| 11.691771
| 10.894572
| 10.839528
| 10.576439
| 11.465637
| 11.434295
|
1605.05133
|
Michele Caselle
|
Michele Caselle, Gianluca Costagliola and Nicodemo Magnoli
|
Conformal perturbation of off-critical correlators in the 3D Ising
universality class
|
4 pages, 2 figures, Expanded the discussion of Conformal Perturbation
Theory
|
Phys. Rev. D 94, 026005 (2016)
|
10.1103/PhysRevD.94.026005
| null |
hep-th cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Thanks to the impressive progress of conformal bootstrap methods we have now
very precise estimates of both scaling dimensions and OPE coefficients for
several 3D universality classes. We show how to use this information to obtain
similarly precise estimates for off-critical correlators using conformal
perturbation. We discuss in particular the $< \sigma (r) \sigma (0) >$, $<
\epsilon (r) \epsilon (0) >$ and $< \sigma (r) \epsilon (0) >$ two point
functions in the high and low temperature regimes of the 3D Ising model and
evaluate the leading and next to leading terms in the $s = t r^{\Delta_{t}}$
expansion, where $t$ is the reduced temperature. Our results for $< \sigma (r)
\sigma (0) >$ agree both with Monte Carlo simulations and with a set of
experimental estimates of the critical scattering function.
|
[
{
"created": "Tue, 17 May 2016 12:29:10 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Jul 2016 17:39:53 GMT",
"version": "v2"
}
] |
2016-07-28
|
[
[
"Caselle",
"Michele",
""
],
[
"Costagliola",
"Gianluca",
""
],
[
"Magnoli",
"Nicodemo",
""
]
] |
Thanks to the impressive progress of conformal bootstrap methods we have now very precise estimates of both scaling dimensions and OPE coefficients for several 3D universality classes. We show how to use this information to obtain similarly precise estimates for off-critical correlators using conformal perturbation. We discuss in particular the $< \sigma (r) \sigma (0) >$, $< \epsilon (r) \epsilon (0) >$ and $< \sigma (r) \epsilon (0) >$ two point functions in the high and low temperature regimes of the 3D Ising model and evaluate the leading and next to leading terms in the $s = t r^{\Delta_{t}}$ expansion, where $t$ is the reduced temperature. Our results for $< \sigma (r) \sigma (0) >$ agree both with Monte Carlo simulations and with a set of experimental estimates of the critical scattering function.
| 5.812875
| 5.795966
| 6.639832
| 5.560935
| 6.068851
| 6.326244
| 5.687283
| 6.00879
| 5.571145
| 6.504596
| 5.596862
| 5.404306
| 5.479054
| 5.368822
| 5.691961
| 5.360027
| 5.683477
| 5.509589
| 5.433146
| 5.697387
| 5.249436
|
1704.05461
|
William Witczak-Krempa
|
Andrew Lucas, Todd Sierens, William Witczak-Krempa
|
Quantum critical response: from conformal perturbation theory to
holography
|
45+14 pages, 9 figures. v2: small clarifications, added references
|
JHEP (2017) 2017: 149
|
10.1007/JHEP07(2017)149
| null |
hep-th cond-mat.stat-mech cond-mat.str-el cond-mat.supr-con
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss dynamical response functions near quantum critical points,
allowing for both a finite temperature and detuning by a relevant operator.
When the quantum critical point is described by a conformal field theory (CFT),
conformal perturbation theory and the operator product expansion can be used to
fix the first few leading terms at high frequencies. Knowledge of the high
frequency response allows us then to derive non-perturbative sum rules. We
show, via explicit computations, how holography recovers the general results of
CFT, and the associated sum rules, for any holographic field theory with a
conformal UV completion -- regardless of any possible new ordering and/or
scaling physics in the IR. We numerically obtain holographic response functions
at all frequencies, allowing us to probe the breakdown of the asymptotic
high-frequency regime. Finally, we show that high frequency response functions
in holographic Lifshitz theories are quite similar to their conformal
counterparts, even though they are not strongly constrained by symmetry.
|
[
{
"created": "Tue, 18 Apr 2017 18:00:02 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Apr 2017 21:38:33 GMT",
"version": "v2"
}
] |
2017-08-03
|
[
[
"Lucas",
"Andrew",
""
],
[
"Sierens",
"Todd",
""
],
[
"Witczak-Krempa",
"William",
""
]
] |
We discuss dynamical response functions near quantum critical points, allowing for both a finite temperature and detuning by a relevant operator. When the quantum critical point is described by a conformal field theory (CFT), conformal perturbation theory and the operator product expansion can be used to fix the first few leading terms at high frequencies. Knowledge of the high frequency response allows us then to derive non-perturbative sum rules. We show, via explicit computations, how holography recovers the general results of CFT, and the associated sum rules, for any holographic field theory with a conformal UV completion -- regardless of any possible new ordering and/or scaling physics in the IR. We numerically obtain holographic response functions at all frequencies, allowing us to probe the breakdown of the asymptotic high-frequency regime. Finally, we show that high frequency response functions in holographic Lifshitz theories are quite similar to their conformal counterparts, even though they are not strongly constrained by symmetry.
| 10.209679
| 10.185307
| 12.006686
| 9.795397
| 10.011498
| 10.331449
| 10.472125
| 10.320601
| 9.569905
| 11.145202
| 9.689536
| 9.927506
| 10.69695
| 10.264156
| 9.979149
| 9.952323
| 10.359838
| 9.995037
| 10.012078
| 10.77297
| 9.747361
|
1805.02772
|
Yuji Tachikawa
|
Yuji Tachikawa and Kazuya Yonekura
|
Why are fractional charges of orientifolds compatible with Dirac
quantization?
|
34 pages, v2: minor improvements, including the clarification that we
treat O+ planes in this paper
|
SciPost Phys. 7, 058 (2019)
|
10.21468/SciPostPhys.7.5.058
|
IPMU-18-0067
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Orientifold $p$-planes with $p\le4$ have fractional D$p$-charges, and
therefore appear inconsistent with Dirac quantization with respect to
D$(6-p)$-branes. We explain in detail how this issue is resolved by taking into
account the anomaly of the worldvolume fermions using the $\eta$ invariants. We
also point out relationships to the classification of interacting fermionic
symmetry protected topological phases. In an appendix, we point out that the
duality group of type IIB string theory is the pin+ version of the double cover
of $GL(2,\mathbb{Z})$.
|
[
{
"created": "Mon, 7 May 2018 22:46:52 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Oct 2019 03:50:02 GMT",
"version": "v2"
}
] |
2019-11-06
|
[
[
"Tachikawa",
"Yuji",
""
],
[
"Yonekura",
"Kazuya",
""
]
] |
Orientifold $p$-planes with $p\le4$ have fractional D$p$-charges, and therefore appear inconsistent with Dirac quantization with respect to D$(6-p)$-branes. We explain in detail how this issue is resolved by taking into account the anomaly of the worldvolume fermions using the $\eta$ invariants. We also point out relationships to the classification of interacting fermionic symmetry protected topological phases. In an appendix, we point out that the duality group of type IIB string theory is the pin+ version of the double cover of $GL(2,\mathbb{Z})$.
| 8.70983
| 9.091902
| 11.076666
| 7.93266
| 9.496519
| 9.26386
| 9.325753
| 8.351278
| 8.020343
| 10.562665
| 8.487901
| 7.555782
| 8.636512
| 7.978958
| 7.955202
| 7.45307
| 7.544492
| 7.83524
| 7.943836
| 8.318876
| 7.638216
|
1811.05832
|
Sergei Mironov
|
S. Mironov, V. Rubakov and V. Volkova
|
Towards wormhole beyond Horndeski
|
7 pages, 6 figures, Proceedings of Quarks 2018
|
EPJ Web Conf. 191 (2018) 07014
|
10.1051/epjconf/201819107014
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We address the issue of whether a no-go theorem for static, spherically
symmetric wormholes, proven in Horndeski theories, can be circumvented by going
beyond Horndeski. We show that the ghost instabilities which are at the heart
of the no-go theorem, can indeed be avoided. The wormhole solutions with the
latter property are, however, strongly fine tuned, and hence it is likely that
they are unstable. Furthermore, it remains unclear whether these solutions have
other pathologies, like gradient instabilities along angular and radial
directions.
|
[
{
"created": "Wed, 14 Nov 2018 15:10:10 GMT",
"version": "v1"
}
] |
2018-11-15
|
[
[
"Mironov",
"S.",
""
],
[
"Rubakov",
"V.",
""
],
[
"Volkova",
"V.",
""
]
] |
We address the issue of whether a no-go theorem for static, spherically symmetric wormholes, proven in Horndeski theories, can be circumvented by going beyond Horndeski. We show that the ghost instabilities which are at the heart of the no-go theorem, can indeed be avoided. The wormhole solutions with the latter property are, however, strongly fine tuned, and hence it is likely that they are unstable. Furthermore, it remains unclear whether these solutions have other pathologies, like gradient instabilities along angular and radial directions.
| 8.964714
| 8.011596
| 7.11675
| 7.278606
| 9.096388
| 8.280522
| 9.50862
| 7.770442
| 8.200665
| 7.896244
| 7.62253
| 8.345267
| 7.934975
| 7.810754
| 7.901031
| 8.057187
| 8.039005
| 7.914026
| 8.000471
| 7.659689
| 8.175937
|
1710.02455
|
Amer Iqbal
|
Brice Bastian, Stefan Hohenegger, Amer Iqbal, Soo-Jong Rey
|
Dual Little Strings and their Partition Functions
|
20 pages
|
Phys. Rev. D 97, 106004 (2018)
|
10.1103/PhysRevD.97.106004
| null |
hep-th math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the topological string partition function of a class of toric,
double elliptically fibered Calabi-Yau threefolds $X_{N,M}$ at a generic point
in the K\"ahler moduli space. These manifolds engineer little string theories
in five dimensions or lower and are dual to stacks of M5-branes probing a
transverse orbifold singularity. Using the refined topological vertex
formalism, we explicitly calculate a generic building block which allows to
compute the topological string partition function of $X_{N,M}$ as a series
expansion in different K\"ahler parameters. Using this result we give further
explicit proof for a duality found previously in the literature, which relates
$X_{N,M}\sim X_{N',M'}$ for $NM=N'M'$ and $\text{gcd}(N,M)=\text{gcd}(N',M')$.
|
[
{
"created": "Fri, 6 Oct 2017 15:38:03 GMT",
"version": "v1"
}
] |
2018-05-16
|
[
[
"Bastian",
"Brice",
""
],
[
"Hohenegger",
"Stefan",
""
],
[
"Iqbal",
"Amer",
""
],
[
"Rey",
"Soo-Jong",
""
]
] |
We study the topological string partition function of a class of toric, double elliptically fibered Calabi-Yau threefolds $X_{N,M}$ at a generic point in the K\"ahler moduli space. These manifolds engineer little string theories in five dimensions or lower and are dual to stacks of M5-branes probing a transverse orbifold singularity. Using the refined topological vertex formalism, we explicitly calculate a generic building block which allows to compute the topological string partition function of $X_{N,M}$ as a series expansion in different K\"ahler parameters. Using this result we give further explicit proof for a duality found previously in the literature, which relates $X_{N,M}\sim X_{N',M'}$ for $NM=N'M'$ and $\text{gcd}(N,M)=\text{gcd}(N',M')$.
| 5.106924
| 4.932226
| 6.272083
| 4.769465
| 5.007444
| 4.990867
| 5.078822
| 4.816193
| 4.74116
| 6.73496
| 4.872725
| 4.91274
| 5.322273
| 4.889069
| 4.946996
| 5.04081
| 4.996961
| 4.971024
| 4.919366
| 5.421976
| 4.829557
|
hep-th/0404016
|
David Kutasov
|
Ofer Aharony, Amit Giveon and David Kutasov
|
LSZ in LST
|
93 pages; harvmac. v2: minor changes. v3: Added reference and minor
changes
|
Nucl.Phys.B691:3-78,2004
|
10.1016/j.nuclphysb.2004.05.015
|
WIS/09/04-APR-DPP, RI-03-04, EFI-04-11
|
hep-th
| null |
We discuss the analytic structure of off-shell correlation functions in
Little String Theories (LSTs) using their description as asymptotically linear
dilaton backgrounds of string theory. We focus on specific points in the LST
moduli space where this description involves the spacetime (R^{d-1,1} times
SL(2)/U(1) times a compact CFT), though we expect our qualitative results to be
much more general. We show that n-point functions of vertex operators O(p) have
single poles as a function of the d-dimensional momentum p, which correspond to
normalizable states localized near the tip of the SL(2)/U(1) cigar. Additional
poles arise due to the non-trivial dynamics in the bulk of the cigar, and these
can lead to a type of UV/IR mixing. Our results explain some previously
puzzling features of the low energy behavior of the Green functions. As another
application, we compute the precise combinations of single-trace and
multi-trace operators in the low-energy gauge theory which map to single string
vertex operators in the N=(1,1) supersymmetric d=6 LST. We also discuss the
implications of our results for two dimensional string theories and for the
(non-existence of a) Hagedorn phase transition in LSTs.
|
[
{
"created": "Fri, 2 Apr 2004 16:40:06 GMT",
"version": "v1"
},
{
"created": "Sun, 4 Apr 2004 16:54:56 GMT",
"version": "v2"
},
{
"created": "Tue, 20 Apr 2004 08:06:32 GMT",
"version": "v3"
}
] |
2009-09-29
|
[
[
"Aharony",
"Ofer",
""
],
[
"Giveon",
"Amit",
""
],
[
"Kutasov",
"David",
""
]
] |
We discuss the analytic structure of off-shell correlation functions in Little String Theories (LSTs) using their description as asymptotically linear dilaton backgrounds of string theory. We focus on specific points in the LST moduli space where this description involves the spacetime (R^{d-1,1} times SL(2)/U(1) times a compact CFT), though we expect our qualitative results to be much more general. We show that n-point functions of vertex operators O(p) have single poles as a function of the d-dimensional momentum p, which correspond to normalizable states localized near the tip of the SL(2)/U(1) cigar. Additional poles arise due to the non-trivial dynamics in the bulk of the cigar, and these can lead to a type of UV/IR mixing. Our results explain some previously puzzling features of the low energy behavior of the Green functions. As another application, we compute the precise combinations of single-trace and multi-trace operators in the low-energy gauge theory which map to single string vertex operators in the N=(1,1) supersymmetric d=6 LST. We also discuss the implications of our results for two dimensional string theories and for the (non-existence of a) Hagedorn phase transition in LSTs.
| 7.702698
| 7.600289
| 9.237142
| 7.668036
| 7.724302
| 7.942272
| 7.755362
| 7.645959
| 7.453008
| 9.078576
| 7.580596
| 7.458433
| 8.388107
| 7.602386
| 7.527463
| 7.554365
| 7.566537
| 7.644093
| 7.534038
| 8.377177
| 7.4893
|
hep-th/9806196
|
Martina Brisudova
|
Martina M. Brisudova (Los Alamos National Laboratory)
|
Electromagnetic duality and light-front coordinates
|
18 pages, LaTeX, 2 references and a typo in an eqn. (19) corrected,
minor revisions in response to referee's report
|
Phys.Rev. D59 (1999) 087702
|
10.1103/PhysRevD.59.087702
|
LA-UR-98-2878
|
hep-th hep-ph
| null |
We review the light-front Hamiltonian approach for the Abelian gauge theory
in 3+1 dimensions, and then study electromagnetic duality in this framework.
|
[
{
"created": "Tue, 23 Jun 1998 21:16:03 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Nov 1998 01:16:18 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Brisudova",
"Martina M.",
"",
"Los Alamos National Laboratory"
]
] |
We review the light-front Hamiltonian approach for the Abelian gauge theory in 3+1 dimensions, and then study electromagnetic duality in this framework.
| 12.664927
| 10.985264
| 10.707485
| 9.227277
| 9.476254
| 9.27819
| 10.367973
| 9.449455
| 8.24396
| 8.837531
| 9.268952
| 8.952679
| 10.872368
| 9.139324
| 9.682621
| 8.826234
| 8.751108
| 8.488728
| 9.223986
| 9.940611
| 8.939735
|
hep-th/0610181
|
Mauricio Cataldo MC
|
Mauricio Cataldo and Patricio Mella
|
Relic gravitons and viscous cosmologies
|
5 pages, 4 figures
|
Phys.Lett.B642:5-8,2006
|
10.1016/j.physletb.2006.08.074
| null |
hep-th
| null |
Previously it was shown that there exists a class of viscous cosmological
models which violate the dominant energy condition for a limited amount of time
after which they are smoothly connected to the ordinary radiation era (which
preserves the dominant energy conditions). This violation of the dominant
energy condition at an early cosmological epoch may influence the slopes of
energy spectra of relic gravitons that might be of experimental relevance.
However, the bulk viscosity coefficient of these cosmologies became negative
during the ordinary radiation era, and then the entropy of the sources driving
the geometry decreases with time.
We show that in the presence of viscous sources with a linear barotropic
equation of state $p=\gamma \rho$ we get viscous cosmological models with
positive bulk viscous stress during all their evolution, and hence the matter
entropy increases with the expansion time. In other words, in the framework of
viscous cosmologies, there exist isotropic models compatible with the standard
second law of thermodynamics which also may influence the slopes of energy
spectra of relic gravitons.
|
[
{
"created": "Mon, 16 Oct 2006 18:04:13 GMT",
"version": "v1"
}
] |
2010-11-05
|
[
[
"Cataldo",
"Mauricio",
""
],
[
"Mella",
"Patricio",
""
]
] |
Previously it was shown that there exists a class of viscous cosmological models which violate the dominant energy condition for a limited amount of time after which they are smoothly connected to the ordinary radiation era (which preserves the dominant energy conditions). This violation of the dominant energy condition at an early cosmological epoch may influence the slopes of energy spectra of relic gravitons that might be of experimental relevance. However, the bulk viscosity coefficient of these cosmologies became negative during the ordinary radiation era, and then the entropy of the sources driving the geometry decreases with time. We show that in the presence of viscous sources with a linear barotropic equation of state $p=\gamma \rho$ we get viscous cosmological models with positive bulk viscous stress during all their evolution, and hence the matter entropy increases with the expansion time. In other words, in the framework of viscous cosmologies, there exist isotropic models compatible with the standard second law of thermodynamics which also may influence the slopes of energy spectra of relic gravitons.
| 9.530497
| 10.285018
| 9.385431
| 9.586704
| 9.867312
| 10.193801
| 9.909936
| 9.012865
| 9.444551
| 10.527956
| 9.397922
| 9.060687
| 9.004184
| 8.891492
| 9.229154
| 8.9306
| 9.463368
| 8.928037
| 9.16012
| 9.11441
| 9.119042
|
2102.06512
|
H.L. Dao
|
H. L. Dao
|
Cosmological solutions from 4D $N=4$ matter-coupled supergravity
|
v1: 38 pages, 7 figures. v2: slight modification of section 7, plus
more details and references added; v3: Published version
|
J. Phys. Commun. 5 105007 (2021)
|
10.1088/2399-6528/ac2bf9
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
From four-dimensional $N=4$ matter-coupled gauged supergravity, we study
smooth time-dependent cosmological solutions interpolating between a
$dS_2\times \Sigma_2$ spacetime, with $\Sigma_2 = S^2$ and $H^2$, in the
infinite past and a $dS_4$ spacetime in the infinite future. The solutions were
obtained by solving the second-order equations of motion from all the ten
gauged theories known to admit $dS_4$ solutions, of which there are two types.
Type I $dS$ gauged theories can admit both $dS$ solutions as well as
supersymmetric $AdS$ solutions while type II $dS$ gauged theories only admit
$dS$ solutions. We also study the extent to which the first-order equations
that solve the aforementioned second-order field equations fail to admit the
$dS_4$ vacua and their associated cosmological solutions.
|
[
{
"created": "Fri, 12 Feb 2021 13:31:41 GMT",
"version": "v1"
},
{
"created": "Sun, 28 Feb 2021 09:15:39 GMT",
"version": "v2"
},
{
"created": "Fri, 15 Oct 2021 08:07:11 GMT",
"version": "v3"
}
] |
2021-10-18
|
[
[
"Dao",
"H. L.",
""
]
] |
From four-dimensional $N=4$ matter-coupled gauged supergravity, we study smooth time-dependent cosmological solutions interpolating between a $dS_2\times \Sigma_2$ spacetime, with $\Sigma_2 = S^2$ and $H^2$, in the infinite past and a $dS_4$ spacetime in the infinite future. The solutions were obtained by solving the second-order equations of motion from all the ten gauged theories known to admit $dS_4$ solutions, of which there are two types. Type I $dS$ gauged theories can admit both $dS$ solutions as well as supersymmetric $AdS$ solutions while type II $dS$ gauged theories only admit $dS$ solutions. We also study the extent to which the first-order equations that solve the aforementioned second-order field equations fail to admit the $dS_4$ vacua and their associated cosmological solutions.
| 5.921042
| 4.893849
| 5.791439
| 5.068146
| 4.63745
| 4.817302
| 5.262346
| 5.194065
| 5.322312
| 7.049038
| 5.025391
| 5.128088
| 5.808948
| 5.329484
| 5.177765
| 5.158089
| 5.24705
| 5.315124
| 5.203489
| 5.704733
| 5.356947
|
0910.4907
|
Stefanos Katmadas
|
Bernard de Wit, Stefanos Katmadas
|
Near-horizon analysis of D=5 BPS black holes and rings
|
52 pages, 2 figures, PDFLaTeX, v2: typos corrected, version to appear
in JHEP
| null |
10.1007/JHEP02(2010)056
|
ITP-UU-09/78, SPIN-09/36
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A comprehensive analysis is presented based exclusively on near-horizon data
to determine the attractor equations and the entropy of BPS black holes and
rings in five space-time dimensions, for a Lagrangian invariant under eight
supersymmetries with higher-derivative couplings. For spinning black holes the
results only partially agree with the results of previous work, where often
additional input was used beyond the near-horizon behaviour. A number of
discrepancies remains, for example, pertaining to small black holes and to
large spinning black holes, which are related to the presence of the
higher-derivative couplings. Arguments are presented to explain some of them.
For the black rings, the analysis is intricate due to the presence of
Chern-Simons terms and due to the fact that the gauge fields are not globally
defined. The contributions from the higher-derivative couplings take a
systematic form in line with expectations based on a variety of arguments.
|
[
{
"created": "Mon, 26 Oct 2009 15:31:52 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Feb 2010 13:55:31 GMT",
"version": "v2"
}
] |
2015-05-14
|
[
[
"de Wit",
"Bernard",
""
],
[
"Katmadas",
"Stefanos",
""
]
] |
A comprehensive analysis is presented based exclusively on near-horizon data to determine the attractor equations and the entropy of BPS black holes and rings in five space-time dimensions, for a Lagrangian invariant under eight supersymmetries with higher-derivative couplings. For spinning black holes the results only partially agree with the results of previous work, where often additional input was used beyond the near-horizon behaviour. A number of discrepancies remains, for example, pertaining to small black holes and to large spinning black holes, which are related to the presence of the higher-derivative couplings. Arguments are presented to explain some of them. For the black rings, the analysis is intricate due to the presence of Chern-Simons terms and due to the fact that the gauge fields are not globally defined. The contributions from the higher-derivative couplings take a systematic form in line with expectations based on a variety of arguments.
| 10.622202
| 10.207318
| 11.543731
| 9.953939
| 10.147263
| 9.687822
| 9.965504
| 9.866437
| 9.901636
| 12.259475
| 9.619216
| 9.561126
| 10.68236
| 9.647668
| 9.595828
| 9.696341
| 9.742993
| 9.482435
| 9.47692
| 10.373
| 9.265991
|
hep-th/0409259
|
Toni Mateos
|
Toni Mateos
|
D-branes, gauge/string duality and noncommutative theories
|
PhD thesis, 281 pages, 41 figures. v2: added references
| null | null | null |
hep-th
| null |
In this thesis we elaborate on the three subjects of the title. We first show
that supertubes exist and still preserve some supersymmetry in a large variety
of curved backgrounds. Within the AdS/CFT correspondence we study the
supersymmetry of rotating strings with 3 angular momenta, and we consider the
possibility of adding matter in a stable but non-supersymmetric way. We
contribute to the extension of the duality to more realistic YM theories by
constructing the sugra dual of an N=2 pure SYM in 3d, given in terms of a
Calabi-Yau four-fold in M-theory. We study the unitarity of noncommutative
nonrelativistic field theories, we construct the sugra dual of noncommutative
pure SYM theories with N=1 in 4d and N=2 in 3d, and we study holographically
properties like UV/IR mixing, confinement, chiral symmetry breaking and moduli
spaces.
|
[
{
"created": "Fri, 24 Sep 2004 17:26:19 GMT",
"version": "v1"
},
{
"created": "Sat, 13 Nov 2004 18:59:11 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Mateos",
"Toni",
""
]
] |
In this thesis we elaborate on the three subjects of the title. We first show that supertubes exist and still preserve some supersymmetry in a large variety of curved backgrounds. Within the AdS/CFT correspondence we study the supersymmetry of rotating strings with 3 angular momenta, and we consider the possibility of adding matter in a stable but non-supersymmetric way. We contribute to the extension of the duality to more realistic YM theories by constructing the sugra dual of an N=2 pure SYM in 3d, given in terms of a Calabi-Yau four-fold in M-theory. We study the unitarity of noncommutative nonrelativistic field theories, we construct the sugra dual of noncommutative pure SYM theories with N=1 in 4d and N=2 in 3d, and we study holographically properties like UV/IR mixing, confinement, chiral symmetry breaking and moduli spaces.
| 9.693784
| 9.235486
| 10.799076
| 8.862138
| 9.30991
| 9.780371
| 8.733748
| 9.253484
| 9.364842
| 9.887699
| 8.981378
| 9.25594
| 9.588689
| 8.989283
| 9.085583
| 9.230662
| 9.098168
| 9.012783
| 8.989038
| 9.303727
| 9.021101
|
hep-th/0512102
|
Liam McAllister
|
Richard Easther and Liam McAllister
|
Random Matrices and the Spectrum of N-flation
|
56 pages, 9 figures; v2: references added; v3: several small
clarifications, refs added, will match published version in JCAP
|
JCAP0605:018,2006
|
10.1088/1475-7516/2006/05/018
| null |
hep-th
| null |
N-flation is a promising embedding of inflation in string theory in which
many string axions combine to drive inflation. We characterize the dynamics of
a general N-flation model with non-degenerate axion masses. Although the
precise mass of a single axion depends on compactification details in a
complicated way, the distribution of masses can be computed with very limited
knowledge of microscopics: the shape of the mass distribution is an emergent
property. We use random matrix theory to show that a typical N-flation model
has a spectrum of masses distributed according to the Marchenko-Pastur law.
This distribution depends on a single parameter, the number of axions divided
by the dimension of the moduli space. We use this result to describe the
inflationary dynamics and phenomenology of a general N-flation model. We
produce an ensemble of models and use numerical integration to track the
axions' evolution and the resulting scalar power spectrum. For realistic
initial conditions, the power spectrum is considerably more red than in
single-field $m^2\phi^2$ inflation. We conclude that random matrix models of
N-flation are surprisingly tractable and have a rich phenomenology that differs
in testable ways from that of single-field $m^2\phi^2$ inflation.
|
[
{
"created": "Thu, 8 Dec 2005 21:09:19 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Jan 2006 18:43:38 GMT",
"version": "v2"
},
{
"created": "Mon, 10 Apr 2006 20:08:39 GMT",
"version": "v3"
}
] |
2015-06-26
|
[
[
"Easther",
"Richard",
""
],
[
"McAllister",
"Liam",
""
]
] |
N-flation is a promising embedding of inflation in string theory in which many string axions combine to drive inflation. We characterize the dynamics of a general N-flation model with non-degenerate axion masses. Although the precise mass of a single axion depends on compactification details in a complicated way, the distribution of masses can be computed with very limited knowledge of microscopics: the shape of the mass distribution is an emergent property. We use random matrix theory to show that a typical N-flation model has a spectrum of masses distributed according to the Marchenko-Pastur law. This distribution depends on a single parameter, the number of axions divided by the dimension of the moduli space. We use this result to describe the inflationary dynamics and phenomenology of a general N-flation model. We produce an ensemble of models and use numerical integration to track the axions' evolution and the resulting scalar power spectrum. For realistic initial conditions, the power spectrum is considerably more red than in single-field $m^2\phi^2$ inflation. We conclude that random matrix models of N-flation are surprisingly tractable and have a rich phenomenology that differs in testable ways from that of single-field $m^2\phi^2$ inflation.
| 6.250705
| 6.222977
| 6.800327
| 5.854901
| 6.213576
| 6.691526
| 6.263315
| 6.239707
| 6.014588
| 6.786614
| 6.126192
| 5.894289
| 6.2835
| 5.919231
| 5.982265
| 5.885775
| 5.815583
| 5.845681
| 5.947834
| 6.083035
| 5.914024
|
hep-th/9203025
| null |
J. Lopez, D. Nanopoulos, and K. Yuan
|
The Search for a realistic flipped SU(5) string model
|
44 pages
|
Nucl.Phys. B399 (1993) 654-690
|
10.1016/0550-3213(93)90513-O
| null |
hep-th
| null |
We present an extensive search for a general class of flipped $SU(5)$ models
built within the free fermionic formulation of the heterotic string. We
describe a set of algorithms which constitute the basis for a computer program
capable of generating systematically the massless spectrum and the
superpotential of all possible models within the class we consider. Our search
through the huge parameter space to be explored is simplified considerably by
the constraint of $N=1$ spacetime supersymmetry and the need for extra $Q,\bar
Q$ representations beyond the standard ones in order to possibly achieve string
gauge coupling unification at scales of ${\cal O}(10^{18}\GeV)$. Our results
are remarkably simple and evidence the large degree of redundancy in this kind
of constructions. We find one model with gauge group $SU(5)\times
U(1)_\ty\times SO(10)_h\times SU(4)_h\times U(1)^5$ and fairly acceptable
phenomenological properties. We study the $D$- and $F$-flatness constraints and
the symmetry breaking pattern in this model and conclude that string gauge
coupling unification is quite possible.
|
[
{
"created": "Mon, 9 Mar 1992 23:11:00 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Lopez",
"J.",
""
],
[
"Nanopoulos",
"D.",
""
],
[
"Yuan",
"K.",
""
]
] |
We present an extensive search for a general class of flipped $SU(5)$ models built within the free fermionic formulation of the heterotic string. We describe a set of algorithms which constitute the basis for a computer program capable of generating systematically the massless spectrum and the superpotential of all possible models within the class we consider. Our search through the huge parameter space to be explored is simplified considerably by the constraint of $N=1$ spacetime supersymmetry and the need for extra $Q,\bar Q$ representations beyond the standard ones in order to possibly achieve string gauge coupling unification at scales of ${\cal O}(10^{18}\GeV)$. Our results are remarkably simple and evidence the large degree of redundancy in this kind of constructions. We find one model with gauge group $SU(5)\times U(1)_\ty\times SO(10)_h\times SU(4)_h\times U(1)^5$ and fairly acceptable phenomenological properties. We study the $D$- and $F$-flatness constraints and the symmetry breaking pattern in this model and conclude that string gauge coupling unification is quite possible.
| 8.766307
| 10.184134
| 9.116475
| 8.460182
| 8.964637
| 9.523703
| 8.883804
| 9.423495
| 8.465374
| 9.30284
| 8.828501
| 8.50404
| 8.572673
| 8.052272
| 8.530902
| 8.506753
| 8.12075
| 8.614423
| 8.241585
| 8.610538
| 8.107912
|
hep-th/0208218
|
Thomas Fischbacher
|
Thomas Fischbacher
|
Introducing LambdaTensor1.0 - A package for explicit symbolic and
numeric Lie algebra and Lie group calculations
|
10 pages; the package's homepage is
http://www.cip.physik.uni-muenchen.de/~tf/lambdatensor/; to be published in
"Forschung und wissenschaftliches Rechnen - Beitraege zum Heinz-Billing-Preis
2002"; replacement reflects the corresponding release of version 1.1, which
is described briefly in an addendum
| null | null |
AEI-2002-065
|
hep-th cs.MS math-ph math.MP
| null |
Due to the occurrence of large exceptional Lie groups in supergravity,
calculations involving explicit Lie algebra and Lie group element manipulations
easily become very complicated and hence also error-prone if done by hand.
Research on the extremal structure of maximal gauged supergravity theories in
various dimensions sparked the development of a library for efficient abstract
multilinear algebra calculations involving sparse and non-sparse higher-rank
tensors, which is presented here.
|
[
{
"created": "Thu, 29 Aug 2002 16:37:45 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Mar 2003 10:16:53 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Fischbacher",
"Thomas",
""
]
] |
Due to the occurrence of large exceptional Lie groups in supergravity, calculations involving explicit Lie algebra and Lie group element manipulations easily become very complicated and hence also error-prone if done by hand. Research on the extremal structure of maximal gauged supergravity theories in various dimensions sparked the development of a library for efficient abstract multilinear algebra calculations involving sparse and non-sparse higher-rank tensors, which is presented here.
| 19.574795
| 18.213594
| 26.216566
| 18.617661
| 21.160797
| 20.505493
| 20.548477
| 19.587133
| 18.244339
| 24.89641
| 17.53783
| 17.444027
| 19.251776
| 17.789845
| 19.207747
| 18.222225
| 18.571205
| 17.964214
| 19.439222
| 20.760729
| 18.884813
|
1903.09165
|
Jakob Salzer
|
Javier Matulich, Stefan Prohazka, Jakob Salzer
|
Limits of three-dimensional gravity and metric kinematical Lie algebras
in any dimension
|
52 pages, 2 figures, 11 tables; v2: matches published version,
additional references added and incorporated referee suggestions
| null |
10.1007/JHEP07(2019)118
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We extend a recent classification of three-dimensional spatially isotropic
homogeneous spacetimes to Chern--Simons theories as three-dimensional gravity
theories on these spacetimes. By this we find gravitational theories for all
carrollian, galilean, and aristotelian counterparts of the lorentzian theories.
In order to define a nondegenerate bilinear form for each of the theories, we
introduce (not necessarily central) extensions of the original kinematical
algebras. Using the structure of so-called double extensions, this can be done
systematically. For homogeneous spaces that arise as a limit of (anti-)de
Sitter spacetime, we show that it is possible to take the limit on the level of
the action, after an appropriate extension. We extend our systematic
construction of nondegenerate bilinear forms also to all higher-dimensional
kinematical algebras.
|
[
{
"created": "Thu, 21 Mar 2019 18:01:15 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Jul 2019 11:01:57 GMT",
"version": "v2"
}
] |
2019-09-04
|
[
[
"Matulich",
"Javier",
""
],
[
"Prohazka",
"Stefan",
""
],
[
"Salzer",
"Jakob",
""
]
] |
We extend a recent classification of three-dimensional spatially isotropic homogeneous spacetimes to Chern--Simons theories as three-dimensional gravity theories on these spacetimes. By this we find gravitational theories for all carrollian, galilean, and aristotelian counterparts of the lorentzian theories. In order to define a nondegenerate bilinear form for each of the theories, we introduce (not necessarily central) extensions of the original kinematical algebras. Using the structure of so-called double extensions, this can be done systematically. For homogeneous spaces that arise as a limit of (anti-)de Sitter spacetime, we show that it is possible to take the limit on the level of the action, after an appropriate extension. We extend our systematic construction of nondegenerate bilinear forms also to all higher-dimensional kinematical algebras.
| 11.391819
| 10.524086
| 11.095011
| 9.978889
| 10.14549
| 9.868044
| 11.07659
| 9.805823
| 10.483002
| 11.990831
| 10.194652
| 10.351309
| 10.184596
| 10.20512
| 10.359179
| 9.861432
| 10.103674
| 10.457731
| 10.283687
| 10.829121
| 10.250569
|
2202.12129
|
Hossein Yavartanoo
|
H. Adami, Pujian Mao, M.M. Sheikh-Jabbari, V. Taghiloo, H. Yavartanoo
|
Symmetries at Causal Boundaries in 2D and 3D Gravity
|
22 pages, 1 figure
| null |
10.1007/JHEP05(2022)189
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study 2d and 3d gravity theories on spacetimes with causal (timelike or
null) codimension one boundaries while allowing for variations in the position
of the boundary. We construct the corresponding solution phase space and
specify boundary degrees freedom by analysing boundary (surface) charges
labelling them. We discuss Y and W freedoms and change of slicing in the
solution space. For D dimensional case we find D+1 surface charges, which are
generic functions over the causal boundary. We show that there exist solution
space slicings in which the charges are integrable. For the 3d case there
exists an integrable slicing where charge algebra takes the form of Heisenberg
\oplus\ {\cal A}_3 where {\cal A}_3 is two copies of Virasoro at Brown-Henneaux
central charge for AdS_3 gravity and BMS_3 for the 3d flat space gravity.
|
[
{
"created": "Thu, 24 Feb 2022 14:44:07 GMT",
"version": "v1"
}
] |
2022-06-15
|
[
[
"Adami",
"H.",
""
],
[
"Mao",
"Pujian",
""
],
[
"Sheikh-Jabbari",
"M. M.",
""
],
[
"Taghiloo",
"V.",
""
],
[
"Yavartanoo",
"H.",
""
]
] |
We study 2d and 3d gravity theories on spacetimes with causal (timelike or null) codimension one boundaries while allowing for variations in the position of the boundary. We construct the corresponding solution phase space and specify boundary degrees freedom by analysing boundary (surface) charges labelling them. We discuss Y and W freedoms and change of slicing in the solution space. For D dimensional case we find D+1 surface charges, which are generic functions over the causal boundary. We show that there exist solution space slicings in which the charges are integrable. For the 3d case there exists an integrable slicing where charge algebra takes the form of Heisenberg \oplus\ {\cal A}_3 where {\cal A}_3 is two copies of Virasoro at Brown-Henneaux central charge for AdS_3 gravity and BMS_3 for the 3d flat space gravity.
| 15.88338
| 15.042982
| 18.337755
| 15.689257
| 16.44068
| 14.851563
| 16.071678
| 14.26776
| 14.358307
| 19.393782
| 15.076151
| 15.617023
| 15.752645
| 14.903385
| 14.877072
| 15.187201
| 15.153584
| 15.298279
| 15.048258
| 15.840167
| 15.20904
|
0902.2267
|
Yu Nakayama
|
Yu Nakayama
|
Superfield Formulation for Non-Relativistic Chern-Simons-Matter Theory
|
18 pages
|
Lett.Math.Phys.89:67-83,2009
|
10.1007/s11005-009-0327-2
|
UCB-PTH-09/07
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct a superfield formulation for non-relativistic
Chern-Simons-Matter theories with manifest dynamical supersymmetry. By
eliminating all the auxiliary fields, we show that the simple action reduces to
the one obtained by taking non-relativistic limit from the relativistic
Chern-Simons-Matter theory proposed in the literature. As a further
application, we give a manifestly supersymmetric derivation of the
non-relativistic ABJM theory.
|
[
{
"created": "Fri, 13 Feb 2009 08:17:30 GMT",
"version": "v1"
}
] |
2009-07-22
|
[
[
"Nakayama",
"Yu",
""
]
] |
We construct a superfield formulation for non-relativistic Chern-Simons-Matter theories with manifest dynamical supersymmetry. By eliminating all the auxiliary fields, we show that the simple action reduces to the one obtained by taking non-relativistic limit from the relativistic Chern-Simons-Matter theory proposed in the literature. As a further application, we give a manifestly supersymmetric derivation of the non-relativistic ABJM theory.
| 6.102728
| 4.842348
| 6.518976
| 4.893534
| 5.181481
| 5.308205
| 4.85327
| 5.238565
| 4.935608
| 5.839676
| 5.045027
| 5.228285
| 6.22899
| 5.20622
| 5.1141
| 5.159
| 5.231431
| 5.329015
| 5.169895
| 6.39592
| 5.222977
|
1211.6549
|
Yuji Satoh
|
Yuji Satoh
|
Gluon scattering amplitudes from gauge/string duality and integrability
|
23 pages, 7 figures; contribution to the proceedings of "Progress in
Quantum Field Theory and String Theory", April 3-7, 2012, Osaka City
University, Osaka, Japan
| null |
10.1142/S2010194513009379
|
UTHEP-654
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss gluon scattering amplitudes/null-polygonal Wilson loops of N = 4
super Yang-Mills theory at strong coupling based on the gauge/string duality
and its underlying integrability. We focus on the amplitudes/Wilson loops
corresponding to the minimal surfaces in AdS_3, which are described by the
thermodynamic Bethe ansatz equations of the homogeneous sine-Gordon model.
Using conformal perturbation theory and an interesting relation between the
g-function (boundary entropy) and the T-function, we derive analytic expansions
around the limit where the Wilson loops become regular-polygonal. We also
compare our analytic results with those at two loops, to find that the rescaled
remainder functions are close to each other for all multi-point amplitudes.
|
[
{
"created": "Wed, 28 Nov 2012 09:16:14 GMT",
"version": "v1"
}
] |
2015-06-12
|
[
[
"Satoh",
"Yuji",
""
]
] |
We discuss gluon scattering amplitudes/null-polygonal Wilson loops of N = 4 super Yang-Mills theory at strong coupling based on the gauge/string duality and its underlying integrability. We focus on the amplitudes/Wilson loops corresponding to the minimal surfaces in AdS_3, which are described by the thermodynamic Bethe ansatz equations of the homogeneous sine-Gordon model. Using conformal perturbation theory and an interesting relation between the g-function (boundary entropy) and the T-function, we derive analytic expansions around the limit where the Wilson loops become regular-polygonal. We also compare our analytic results with those at two loops, to find that the rescaled remainder functions are close to each other for all multi-point amplitudes.
| 9.251508
| 6.248998
| 10.181991
| 7.006926
| 8.323157
| 6.939276
| 6.516917
| 7.04533
| 7.165097
| 11.029424
| 7.633832
| 7.761997
| 9.205573
| 8.39586
| 8.464088
| 8.227147
| 7.703561
| 8.261514
| 8.131072
| 9.156664
| 8.330632
|
hep-th/9206108
| null |
E. Sezgin and K.S. Stelle
|
Nonlinear Realisations of $w_{1+\infty}$
|
20 pages, plain TeX, IC/92/122
|
Class.Quant.Grav.10:19-36,1993
|
10.1088/0264-9381/10/1/006
| null |
hep-th
| null |
The nonlinear scalar-field realisation of $w_{1+\infty}$ symmetry in $d=2$
dimensions is studied in analogy to the nonlinear realisation of $d=4$
conformal symmetry $SO(4,2)$. The $w_{1+\infty}$ realisation is derived from a
coset-space construction in which the divisor group is generated by the
non-negative modes of the Virasoro algebra, with subsequent application of an
infinite set of covariant constraints. The initial doubly-infinite set of
Goldstone fields arising in this construction is reduced by the covariant
constraints to a singly-infinite set corresponding to the Cartan-subalgebra
generators $v^\ell_{-(\ell+1)}$. We derive the transformation rules of this
surviving set of fields, finding a triangular structure in which fields
transform into themselves or into lower members of the set only. This
triangular structure gives rise to finite-component subrealisations, including
the standard one for a single scalar. We derive the Maurer-Cartan form and
discuss the construction of invariant actions.
|
[
{
"created": "Mon, 29 Jun 1992 19:52:16 GMT",
"version": "v1"
}
] |
2010-04-06
|
[
[
"Sezgin",
"E.",
""
],
[
"Stelle",
"K. S.",
""
]
] |
The nonlinear scalar-field realisation of $w_{1+\infty}$ symmetry in $d=2$ dimensions is studied in analogy to the nonlinear realisation of $d=4$ conformal symmetry $SO(4,2)$. The $w_{1+\infty}$ realisation is derived from a coset-space construction in which the divisor group is generated by the non-negative modes of the Virasoro algebra, with subsequent application of an infinite set of covariant constraints. The initial doubly-infinite set of Goldstone fields arising in this construction is reduced by the covariant constraints to a singly-infinite set corresponding to the Cartan-subalgebra generators $v^\ell_{-(\ell+1)}$. We derive the transformation rules of this surviving set of fields, finding a triangular structure in which fields transform into themselves or into lower members of the set only. This triangular structure gives rise to finite-component subrealisations, including the standard one for a single scalar. We derive the Maurer-Cartan form and discuss the construction of invariant actions.
| 9.569901
| 8.806979
| 10.791885
| 8.838698
| 9.02424
| 9.477895
| 9.478176
| 8.798112
| 8.646955
| 11.504057
| 8.870887
| 8.769394
| 9.842991
| 8.82708
| 8.639915
| 8.589295
| 8.673964
| 8.992061
| 8.9462
| 10.204152
| 8.801929
|
hep-th/0209170
|
Bernard Julia
|
Bernard L. Julia
|
U-opportunities: why is ten equal to ten ?
|
Lecture at les Houches 2001
| null | null |
LPT-ENS 02/42
|
hep-th
| null |
It seems to me at this time that two recent developments may permit fast
progress on our way to understand the symmetry structure of toroidally
(compactified and) reduced M-theory. The first indication of a (possibly) thin
spot in the wall that prevents us from deriving a priori the U-duality
symmetries of these models is to be found in the analysis of the hyperbolic
billiards that control the chaotic time evolution of (quasi)homogeneous
anisotropic String, Supergravity or Einstein cosmologies near a spacelike
singularity. What happens is that U-duality symmetry controls chaos via
negative constant curvature. On the other hand it was noticed in 1982 that
(symmetrizable) ''hyperbolic'' Kac-Moody algebras have maximal rank ten,
exactly like superstring models and that two of these four rank ten algebras
matched physical theories. My second reason for optimism actually predates also
the previous breakthrough, it was the discovery in 1998 of surprising
superalgebras extending U-dualities to all (p+1)-forms (associated to
p-branes). They have a super-nonlinear sigma model structure similar to the
symmetric space structure associated to 0-forms and they obey a universal
self-duality field equation. As the set of forms is doubled to implement
electric-magnetic duality, they obey a set of first order equations. More
remains to be discovered but the beauty and subtlety of the structure cannot be
a random emergence from chaos. In fact we shall explain how a third maximal
rank hyperbolic algebra $BE_{10}$ controls heterotic cosmological chaos and how
as predicted Einstein's General Relativity fits into the general picture.
|
[
{
"created": "Fri, 20 Sep 2002 12:43:16 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Julia",
"Bernard L.",
""
]
] |
It seems to me at this time that two recent developments may permit fast progress on our way to understand the symmetry structure of toroidally (compactified and) reduced M-theory. The first indication of a (possibly) thin spot in the wall that prevents us from deriving a priori the U-duality symmetries of these models is to be found in the analysis of the hyperbolic billiards that control the chaotic time evolution of (quasi)homogeneous anisotropic String, Supergravity or Einstein cosmologies near a spacelike singularity. What happens is that U-duality symmetry controls chaos via negative constant curvature. On the other hand it was noticed in 1982 that (symmetrizable) ''hyperbolic'' Kac-Moody algebras have maximal rank ten, exactly like superstring models and that two of these four rank ten algebras matched physical theories. My second reason for optimism actually predates also the previous breakthrough, it was the discovery in 1998 of surprising superalgebras extending U-dualities to all (p+1)-forms (associated to p-branes). They have a super-nonlinear sigma model structure similar to the symmetric space structure associated to 0-forms and they obey a universal self-duality field equation. As the set of forms is doubled to implement electric-magnetic duality, they obey a set of first order equations. More remains to be discovered but the beauty and subtlety of the structure cannot be a random emergence from chaos. In fact we shall explain how a third maximal rank hyperbolic algebra $BE_{10}$ controls heterotic cosmological chaos and how as predicted Einstein's General Relativity fits into the general picture.
| 20.938028
| 24.1369
| 22.648254
| 21.861916
| 24.35054
| 22.620134
| 23.827326
| 21.880558
| 21.149786
| 26.012295
| 20.629971
| 20.848778
| 20.989811
| 20.768387
| 20.450441
| 20.862482
| 20.425083
| 20.151516
| 20.793264
| 21.880362
| 20.593634
|
hep-th/9601060
|
Peter Orland
|
Maxime Kudinov and Peter Orland
|
Lattice Bosonization
|
8 pages, latex, no figures
|
Phys.Lett. B384 (1996) 201-206
|
10.1016/0370-2693(96)00824-6
|
BCUNY-HEP-96-1
|
hep-th
| null |
A free lattice fermion field theory in 1+1 dimensions can be interpreted as
SOS-type model, whose spins are integer-valued. We point out that the relation
between these spins and the fermion field is similar to the abelian
bosonization relation between bosons and fermions in the continuum. Though on
the lattice the connected $2n$-point correlation functions of the
integer-valued spins are not zero for any $n \ge 1$, the two-point correlation
function of these spins is that of free bosons in the infrared. We also
conjecture the form of the Wess-Zumino-Witten chiral field operator in a
nonabelian lattice fermion model. These constructions are similar in spirit to
the ``twistable string" idea of Krammer and Nielsen.
|
[
{
"created": "Fri, 12 Jan 1996 05:33:27 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Kudinov",
"Maxime",
""
],
[
"Orland",
"Peter",
""
]
] |
A free lattice fermion field theory in 1+1 dimensions can be interpreted as SOS-type model, whose spins are integer-valued. We point out that the relation between these spins and the fermion field is similar to the abelian bosonization relation between bosons and fermions in the continuum. Though on the lattice the connected $2n$-point correlation functions of the integer-valued spins are not zero for any $n \ge 1$, the two-point correlation function of these spins is that of free bosons in the infrared. We also conjecture the form of the Wess-Zumino-Witten chiral field operator in a nonabelian lattice fermion model. These constructions are similar in spirit to the ``twistable string" idea of Krammer and Nielsen.
| 10.296272
| 10.016905
| 10.412618
| 9.847301
| 10.448767
| 10.498416
| 10.1731
| 9.778214
| 10.15449
| 10.904689
| 9.530796
| 9.488634
| 10.015302
| 9.436386
| 9.722237
| 9.63172
| 9.278373
| 9.473119
| 9.682194
| 9.862874
| 9.130486
|
1212.2625
|
Blaise Gout\'eraux
|
B. Gout\'eraux and E. Kiritsis
|
Quantum critical lines in holographic phases with (un)broken symmetry
|
v3: 32+29 pages, 2 figures. Matches version published in JHEP.
Important addition of an exponent characterizing the IR scaling of the
electric potential
|
JHEP 1304:053, 2013
|
10.1007/JHEP04(2013)053
|
CCTP-2012-24; NORDITA-2012-101
|
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
All possible scaling IR asymptotics in homogeneous, translation invariant
holographic phases preserving or breaking a U(1) symmetry in the IR are
classified. Scale invariant geometries where the scalar extremizes its
effective potential are distinguished from hyperscaling violating geometries
where the scalar runs logarithmically. It is shown that the general critical
saddle-point solutions are characterized by three critical exponents ($\theta,
z, \zeta$). Both exact solutions as well as leading behaviors are exhibited.
Using them, neutral or charged geometries realizing both fractionalized or
cohesive phases are found. The generic global IR picture emerging is that of
quantum critical lines, separated by quantum critical points which correspond
to the scale invariant solutions with a constant scalar.
|
[
{
"created": "Tue, 11 Dec 2012 20:58:30 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Jan 2013 14:38:06 GMT",
"version": "v2"
},
{
"created": "Mon, 15 Apr 2013 09:00:32 GMT",
"version": "v3"
}
] |
2013-04-16
|
[
[
"Goutéraux",
"B.",
""
],
[
"Kiritsis",
"E.",
""
]
] |
All possible scaling IR asymptotics in homogeneous, translation invariant holographic phases preserving or breaking a U(1) symmetry in the IR are classified. Scale invariant geometries where the scalar extremizes its effective potential are distinguished from hyperscaling violating geometries where the scalar runs logarithmically. It is shown that the general critical saddle-point solutions are characterized by three critical exponents ($\theta, z, \zeta$). Both exact solutions as well as leading behaviors are exhibited. Using them, neutral or charged geometries realizing both fractionalized or cohesive phases are found. The generic global IR picture emerging is that of quantum critical lines, separated by quantum critical points which correspond to the scale invariant solutions with a constant scalar.
| 19.841333
| 20.391975
| 21.766712
| 18.166636
| 18.106443
| 19.412079
| 20.040707
| 19.408213
| 18.013794
| 23.205276
| 17.280342
| 17.577539
| 19.103659
| 17.202793
| 17.387264
| 16.74896
| 17.554703
| 17.217052
| 17.396572
| 19.373516
| 17.469782
|
2105.05218
|
Pierre Vanhove
|
N. E. J. Bjerrum-Bohr, P. H. Damgaard, L. Plant\'e, P. Vanhove
|
The Amplitude for Classical Gravitational Scattering at Third
Post-Minkowskian Order
|
33 pages. Several figures. v3 : affiliations and acknowledgements
update, version to published in JHEP
| null | null |
IPhT-t21/028, CERN-TH-2021-073
|
hep-th gr-qc hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We compute the scattering amplitude for classical black-hole scattering to
third order in the Post-Minkowskian expansion, keeping all terms needed to
derive the scattering angle to that order from the eikonal formalism. Our
results confirm a conjectured relation between the real and imaginary parts of
the amplitude by Di Vecchia, Heissenberg, Russo, and Veneziano, and are in
agreement with a recent computation by Damour based on radiation reaction in
general relativity.
|
[
{
"created": "Tue, 11 May 2021 17:34:28 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Jul 2021 05:24:42 GMT",
"version": "v2"
},
{
"created": "Thu, 19 Aug 2021 06:54:00 GMT",
"version": "v3"
}
] |
2021-08-20
|
[
[
"Bjerrum-Bohr",
"N. E. J.",
""
],
[
"Damgaard",
"P. H.",
""
],
[
"Planté",
"L.",
""
],
[
"Vanhove",
"P.",
""
]
] |
We compute the scattering amplitude for classical black-hole scattering to third order in the Post-Minkowskian expansion, keeping all terms needed to derive the scattering angle to that order from the eikonal formalism. Our results confirm a conjectured relation between the real and imaginary parts of the amplitude by Di Vecchia, Heissenberg, Russo, and Veneziano, and are in agreement with a recent computation by Damour based on radiation reaction in general relativity.
| 6.69928
| 8.179029
| 8.189617
| 7.270632
| 7.181804
| 7.940674
| 9.02748
| 7.260262
| 7.688068
| 7.909141
| 7.313988
| 6.810578
| 6.661047
| 6.229569
| 6.615177
| 6.691565
| 6.697822
| 6.505114
| 6.502978
| 6.483304
| 6.588331
|
1901.07775
|
Richard Szabo
|
Athanasios Chatzistavrakidis, Larisa Jonke, Dieter Lust, Richard J.
Szabo
|
Fluxes in Exceptional Field Theory and Threebrane Sigma-Models
|
34 pages; v2: modified fluxes in Section 6, references added; v3:
minor corrections, references added; Final version published in JHEP
| null |
10.1007/JHEP05(2019)055
|
LMU-ASC 06/19 , MPP-2019-6 , EMPG-19-01
|
hep-th math-ph math.DG math.MP math.SG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Starting from a higher Courant bracket associated to exceptional generalized
geometry, we provide a systematic derivation of all types of fluxes and their
Bianchi identities for four-dimensional compactifications of M-theory. We show
that these fluxes may be understood as generalized Wess-Zumino terms in certain
topological threebrane sigma-models of AKSZ-type, which relates them to the
higher structure of a Lie algebroid up to homotopy. This includes geometric
compactifications of M-theory with G-flux and on twisted tori, and also its
compactifications with non-geometric Q- and R-fluxes in specific
representations of the U-duality group SL(5) in exceptional field theory.
|
[
{
"created": "Wed, 23 Jan 2019 08:52:33 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Feb 2019 09:30:15 GMT",
"version": "v2"
},
{
"created": "Sat, 25 May 2019 08:57:41 GMT",
"version": "v3"
}
] |
2019-06-05
|
[
[
"Chatzistavrakidis",
"Athanasios",
""
],
[
"Jonke",
"Larisa",
""
],
[
"Lust",
"Dieter",
""
],
[
"Szabo",
"Richard J.",
""
]
] |
Starting from a higher Courant bracket associated to exceptional generalized geometry, we provide a systematic derivation of all types of fluxes and their Bianchi identities for four-dimensional compactifications of M-theory. We show that these fluxes may be understood as generalized Wess-Zumino terms in certain topological threebrane sigma-models of AKSZ-type, which relates them to the higher structure of a Lie algebroid up to homotopy. This includes geometric compactifications of M-theory with G-flux and on twisted tori, and also its compactifications with non-geometric Q- and R-fluxes in specific representations of the U-duality group SL(5) in exceptional field theory.
| 10.644717
| 8.347919
| 12.612604
| 8.985627
| 9.108013
| 9.168971
| 8.794094
| 9.014312
| 8.674247
| 14.434491
| 9.103806
| 9.20432
| 10.721513
| 9.107178
| 8.93112
| 9.056268
| 8.988093
| 8.932687
| 9.055533
| 10.81231
| 9.330817
|
hep-th/0003291
|
Brett McInnes
|
Brett McInnes
|
AdS/CFT For Non-Boundary Manifolds
|
21 pages, 1 eps figure (1000x500), remarks on p-brane stress-tensor
clarified
|
JHEP 0005:025,2000
|
10.1088/1126-6708/2000/05/025
|
NUS Math Report 773
|
hep-th
| null |
In its Euclidean formulation, the AdS/CFT correspondence begins as a study of
Yang-Mills conformal field theories on the sphere, S^4. It has been
successfully extended, however, to S^1 X S^3 and to the torus T^4. It is
natural to hope that it can be made to work for any manifold on which it is
possible to define a stable Yang-Mills conformal field theory. We consider a
possible classification of such manifolds, and show how to deal with the most
obvious objection : the existence of manifolds which cannot be represented as
boundaries. We confirm Witten's suggestion that this can be done with the help
of a brane in the bulk.
|
[
{
"created": "Fri, 31 Mar 2000 07:05:37 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Apr 2000 05:42:21 GMT",
"version": "v2"
},
{
"created": "Mon, 24 Apr 2000 06:32:36 GMT",
"version": "v3"
}
] |
2010-12-23
|
[
[
"McInnes",
"Brett",
""
]
] |
In its Euclidean formulation, the AdS/CFT correspondence begins as a study of Yang-Mills conformal field theories on the sphere, S^4. It has been successfully extended, however, to S^1 X S^3 and to the torus T^4. It is natural to hope that it can be made to work for any manifold on which it is possible to define a stable Yang-Mills conformal field theory. We consider a possible classification of such manifolds, and show how to deal with the most obvious objection : the existence of manifolds which cannot be represented as boundaries. We confirm Witten's suggestion that this can be done with the help of a brane in the bulk.
| 8.587146
| 9.126513
| 8.838304
| 8.30225
| 8.189775
| 8.375082
| 8.351776
| 8.303161
| 8.820887
| 9.096316
| 8.477765
| 7.788281
| 7.930143
| 7.779077
| 7.917823
| 7.751589
| 7.683817
| 7.505678
| 7.975643
| 8.186718
| 7.412006
|
hep-th/9409092
| null |
Hitoshi Nishino
|
N=2 Supersymmetric Calabi-Yau Hypersurface Sigma-Models on Curved
Two-Dimensions
|
LATEX, 14 pages, HUPAPP-94/101, UMDEPP 95-029
|
Phys.Lett. B362 (1995) 78
|
10.1016/0370-2693(95)01143-E
| null |
hep-th
| null |
We consider the effect of curved two-dimensional space-time on Witten's $N=2$
supersymmetric sigma models interpolating Calabi-Yau hypersurfaces to
Landau-Ginzburg models. In order for the former models to have significant
connection to superstring theory, only the $N=(1,1)$ or $N=(1,0)$ part of the
total $N=(2,2)$ world-sheet supersymmetry is made local. Even though there
arises an additional minimizing condition due to a scalar auxiliary field in
the supergravity multiplet on curved two-dimensions, the essential feature of
the sigma-model relating Calabi-Yau and Landau-Ginzburg models will be
maintained. This indicates the validity of these sigma models formulated on
curved two-dimensions or curved world-sheets. As a by-product, the coupling of
$N=(2,2)$ vector multiplets to other multiplets with $N=(1,1)$ local
supersymmetry is developed.
|
[
{
"created": "Fri, 16 Sep 1994 04:17:12 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Nishino",
"Hitoshi",
""
]
] |
We consider the effect of curved two-dimensional space-time on Witten's $N=2$ supersymmetric sigma models interpolating Calabi-Yau hypersurfaces to Landau-Ginzburg models. In order for the former models to have significant connection to superstring theory, only the $N=(1,1)$ or $N=(1,0)$ part of the total $N=(2,2)$ world-sheet supersymmetry is made local. Even though there arises an additional minimizing condition due to a scalar auxiliary field in the supergravity multiplet on curved two-dimensions, the essential feature of the sigma-model relating Calabi-Yau and Landau-Ginzburg models will be maintained. This indicates the validity of these sigma models formulated on curved two-dimensions or curved world-sheets. As a by-product, the coupling of $N=(2,2)$ vector multiplets to other multiplets with $N=(1,1)$ local supersymmetry is developed.
| 9.166792
| 8.955127
| 9.612288
| 8.758351
| 8.983111
| 9.157497
| 8.771603
| 8.240916
| 8.452219
| 10.169756
| 8.827962
| 8.551329
| 8.98764
| 8.479198
| 8.777855
| 8.543807
| 8.632489
| 8.393096
| 8.793083
| 8.637146
| 8.493959
|
1605.06111
|
Brando Bellazzini
|
Brando Bellazzini
|
Softness and Amplitudes' Positivity for Spinning Particles
|
28 pages + refs and 3 appendices, 2 figures; v2: extra refs, improved
discussions, typos fixed, accepted on JHEP
| null |
10.1007/JHEP02(2017)034
|
Saclay-t16/038
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive positivity bounds for scattering amplitudes of particles with
arbitrary spin using unitarity, analyticity and crossing symmetry. The bounds
imply the positivity of certain low-energy coefficients of the effective action
that controls the dynamics of the light degrees of freedom. We show that
low-energy amplitudes strictly softer than $O(p^4)$ do not admit unitary
ultraviolet completions unless the theory is free. This enforces a bound on the
energy growth of scattering amplitudes in the region of validity of the
effective theory. We discuss explicit examples including the Goldstino from
spontaneous supersymmetry breaking, and the theory of a spin-1/2 fermion with a
shift symmetry.
|
[
{
"created": "Thu, 19 May 2016 20:00:01 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Jan 2017 17:02:07 GMT",
"version": "v2"
}
] |
2017-03-08
|
[
[
"Bellazzini",
"Brando",
""
]
] |
We derive positivity bounds for scattering amplitudes of particles with arbitrary spin using unitarity, analyticity and crossing symmetry. The bounds imply the positivity of certain low-energy coefficients of the effective action that controls the dynamics of the light degrees of freedom. We show that low-energy amplitudes strictly softer than $O(p^4)$ do not admit unitary ultraviolet completions unless the theory is free. This enforces a bound on the energy growth of scattering amplitudes in the region of validity of the effective theory. We discuss explicit examples including the Goldstino from spontaneous supersymmetry breaking, and the theory of a spin-1/2 fermion with a shift symmetry.
| 8.282514
| 7.789562
| 8.102511
| 7.402925
| 8.431615
| 7.846379
| 7.611939
| 8.096909
| 7.963176
| 8.711043
| 7.508501
| 7.707888
| 7.862525
| 7.597083
| 7.302886
| 7.279768
| 7.280647
| 7.482376
| 7.622285
| 8.118027
| 7.40289
|
1912.02685
|
Sven Bjarke Gudnason
|
Chandrasekhar Chatterjee, Sven Bjarke Gudnason, Muneto Nitta
|
Chemical bonds of two vortex species with a generalized Josephson term
and arbitrary charges
|
LaTeX: 36 pages, 20 figures; V2: typos corrected
|
JHEP 2004:109, 2020
|
10.1007/JHEP04(2020)109
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the Abelian-Higgs model with two complex scalar fields and
arbitrary positive integer charges with the addition of a higher-order
generalization of the Josephson term. The theory possesses vortices of both
local and global variants. The only finite-energy configurations are shown to
be the local vortices for which a certain combination of vortex numbers and
electric charges -- called the global vortex number -- vanishes. The local
vortices have rational fractional magnetic flux, as opposed to the global
counterparts that can have an arbitrary fractional flux. The global vortices
have angular domain walls, which we find good analytic approximate solutions
for. Finally, we find a full classification of the minimal local vortices as
well as a few nonminimal networks of vortices, using numerical methods.
|
[
{
"created": "Thu, 5 Dec 2019 16:18:46 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Apr 2020 07:47:03 GMT",
"version": "v2"
}
] |
2020-04-21
|
[
[
"Chatterjee",
"Chandrasekhar",
""
],
[
"Gudnason",
"Sven Bjarke",
""
],
[
"Nitta",
"Muneto",
""
]
] |
We consider the Abelian-Higgs model with two complex scalar fields and arbitrary positive integer charges with the addition of a higher-order generalization of the Josephson term. The theory possesses vortices of both local and global variants. The only finite-energy configurations are shown to be the local vortices for which a certain combination of vortex numbers and electric charges -- called the global vortex number -- vanishes. The local vortices have rational fractional magnetic flux, as opposed to the global counterparts that can have an arbitrary fractional flux. The global vortices have angular domain walls, which we find good analytic approximate solutions for. Finally, we find a full classification of the minimal local vortices as well as a few nonminimal networks of vortices, using numerical methods.
| 13.664808
| 12.496559
| 13.032121
| 12.394651
| 12.859179
| 12.725259
| 12.358039
| 13.301357
| 11.89042
| 15.319736
| 12.342769
| 12.132638
| 13.278411
| 12.397722
| 12.410005
| 12.970323
| 13.044947
| 12.787415
| 12.521297
| 12.915478
| 11.988491
|
hep-th/9803211
|
G. Metikas
|
Dominic Lee, Georgios Metikas
|
Infrared divergence in QED$_3$ at finite temperature
|
37 pages, 12 figures, typos corrected, references added, Introduction
rewritten
|
Int.J.Mod.Phys. A14 (1999) 2921-2948
|
10.1142/S0217751X99001421
|
OUTP-97-72-P
|
hep-th
| null |
We consider various ways of treating the infrared divergence which appears in
the dynamically generated fermion mass, when the transverse part of the photon
propagator in N flavour $QED_{3}$ at finite temperature is included in the
Matsubara formalism. This divergence is likely to be an artefact of taking into
account only the leading order term in the $1 \over N$ expansion when we
calculate the photon propagator and is handled here phenomenologically by means
of an infrared cutoff. Inserting both the longitudinal and the transverse part
of the photon propagator in the Schwinger-Dyson equation we find the dependence
of the dynamically generated fermion mass on the temperature and the cutoff
parameters. It turns out that consistency with certain statistical physics
arguments imposes conditions on the cutoff parameters. For parameters in the
allowed range of values we find that the ratio $r=2*Mass(T=0)/critical
temperature$ is approximately 6, consistently with previous calculations which
neglected the transverse photon contribution.
|
[
{
"created": "Wed, 25 Mar 1998 18:03:38 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Sep 1999 19:28:08 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Lee",
"Dominic",
""
],
[
"Metikas",
"Georgios",
""
]
] |
We consider various ways of treating the infrared divergence which appears in the dynamically generated fermion mass, when the transverse part of the photon propagator in N flavour $QED_{3}$ at finite temperature is included in the Matsubara formalism. This divergence is likely to be an artefact of taking into account only the leading order term in the $1 \over N$ expansion when we calculate the photon propagator and is handled here phenomenologically by means of an infrared cutoff. Inserting both the longitudinal and the transverse part of the photon propagator in the Schwinger-Dyson equation we find the dependence of the dynamically generated fermion mass on the temperature and the cutoff parameters. It turns out that consistency with certain statistical physics arguments imposes conditions on the cutoff parameters. For parameters in the allowed range of values we find that the ratio $r=2*Mass(T=0)/critical temperature$ is approximately 6, consistently with previous calculations which neglected the transverse photon contribution.
| 9.397198
| 9.928688
| 9.880382
| 9.11893
| 9.852836
| 9.737922
| 9.195312
| 9.706564
| 9.456471
| 9.536497
| 9.054117
| 9.127831
| 9.463669
| 9.103089
| 9.074984
| 9.227567
| 9.16417
| 9.064008
| 8.967773
| 9.022671
| 9.104627
|
hep-th/9412031
|
Donin Joseph
|
J. Donin and S. Shnider
|
Quantum symmetric spaces
|
16 pp, LaTeX
|
J. Pure Appl. Algebra 100 (1995) 103
| null |
BI-94-11
|
hep-th math.QA q-alg
| null |
Let $G$ be a semisimple Lie group, ${\frak g}$ its Lie algebra. For any
symmetric space $M$ over $G$ we construct a new (deformed) multiplication in
the space $A$ of smooth functions on $M$. This multiplication is invariant
under the action of the Drinfeld--Jimbo quantum group $U_h{\frak g}$ and is
commutative with respect to an involutive operator $\tilde{S}: A\otimes A \to
A\otimes A$. Such a multiplication is unique. Let $M$ be a k\"{a}hlerian
symmetric space with the canonical Poisson structure. Then we construct a
$U_h{\frak g}$-invariant multiplication in $A$ which depends on two parameters
and is a quantization of that structure.
|
[
{
"created": "Sun, 4 Dec 1994 14:30:45 GMT",
"version": "v1"
}
] |
2008-02-03
|
[
[
"Donin",
"J.",
""
],
[
"Shnider",
"S.",
""
]
] |
Let $G$ be a semisimple Lie group, ${\frak g}$ its Lie algebra. For any symmetric space $M$ over $G$ we construct a new (deformed) multiplication in the space $A$ of smooth functions on $M$. This multiplication is invariant under the action of the Drinfeld--Jimbo quantum group $U_h{\frak g}$ and is commutative with respect to an involutive operator $\tilde{S}: A\otimes A \to A\otimes A$. Such a multiplication is unique. Let $M$ be a k\"{a}hlerian symmetric space with the canonical Poisson structure. Then we construct a $U_h{\frak g}$-invariant multiplication in $A$ which depends on two parameters and is a quantization of that structure.
| 5.098657
| 6.568064
| 5.922979
| 5.37915
| 5.761156
| 5.984102
| 6.107351
| 5.550794
| 5.443952
| 6.361505
| 5.45407
| 4.903423
| 5.055441
| 4.89265
| 4.978509
| 5.013087
| 5.141192
| 4.862008
| 4.71238
| 5.159939
| 5.088706
|
1107.2710
|
Yu-tin Huang
|
Wei-Ming Chen and Yu-tin Huang
|
Dualities for Loop Amplitudes of N=6 Chern-Simons Matter Theory
|
32 pages and 6 figures. v2: minus sign corrections, ref updated v3:
Published version
| null |
10.1007/JHEP11(2011)057
|
UCLA-TEP-11-109; NSF-KITP-11-129
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we study the one- and two-loop corrections to the four-point
amplitude of N=6 Chern-Simons matter theory. Using generalized unitarity
methods we express the one- and two-loop amplitudes in terms of dual-conformal
integrals. Explicit integration by using dimensional reduction gives vanishing
one-loop result as expected, while the two-loop result is non-vanishing and
matches with the Wilson loop computation. Furthermore, the two-loop correction
takes the same form as the one-loop correction to the four-point amplitude of
N=4 super Yang-Mills. We discuss possible higher loop extensions of this
correspondence between the two theories. As a side result, we extend the method
of dimensional reduction for three dimensions to five dimensions where dual
conformal symmetry is most manifest, demonstrating significant simplification
to the computation of integrals.
|
[
{
"created": "Thu, 14 Jul 2011 02:04:29 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Jul 2011 06:47:47 GMT",
"version": "v2"
},
{
"created": "Thu, 10 Nov 2011 00:24:38 GMT",
"version": "v3"
}
] |
2015-05-28
|
[
[
"Chen",
"Wei-Ming",
""
],
[
"Huang",
"Yu-tin",
""
]
] |
In this paper we study the one- and two-loop corrections to the four-point amplitude of N=6 Chern-Simons matter theory. Using generalized unitarity methods we express the one- and two-loop amplitudes in terms of dual-conformal integrals. Explicit integration by using dimensional reduction gives vanishing one-loop result as expected, while the two-loop result is non-vanishing and matches with the Wilson loop computation. Furthermore, the two-loop correction takes the same form as the one-loop correction to the four-point amplitude of N=4 super Yang-Mills. We discuss possible higher loop extensions of this correspondence between the two theories. As a side result, we extend the method of dimensional reduction for three dimensions to five dimensions where dual conformal symmetry is most manifest, demonstrating significant simplification to the computation of integrals.
| 7.087773
| 6.494048
| 8.375265
| 6.740933
| 6.592262
| 6.837746
| 6.590962
| 6.730475
| 6.646231
| 8.526586
| 6.809277
| 6.612998
| 6.993298
| 6.695725
| 6.437791
| 6.641326
| 6.571261
| 6.630392
| 6.659747
| 7.133841
| 6.498826
|
0909.1327
|
Yuji Tachikawa
|
Francesco Benini, Yuji Tachikawa, Brian Wecht
|
Sicilian gauge theories and N=1 dualities
|
39 pages, 6 figures; v2: published version
|
JHEP 1001:088,2010
|
10.1007/JHEP01(2010)088
|
PUTP 2312
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In theories without known Lagrangian descriptions, knowledge of the global
symmetries is often one of the few pieces of information we have at our
disposal. Gauging (part of) such global symmetries can then lead to interesting
new theories, which are usually still quite mysterious. In this work, we
describe a set of tools that can be used to explore the superconformal phases
of these theories. In particular, we describe the contribution of such
non-Lagrangian sectors to the NSVZ beta-function, and elucidate the counting of
marginal deformations. We apply our techniques to N=1 theories obtained by mass
deformations of the N=2 conformal theories recently found by Gaiotto. Because
the basic building block of these theories is a triskelion, or trivalent
vertex, we dub them "Sicilian gauge theories." We identify these N=1 theories
as compactifications of the six-dimensional A_N (2,0) theory on Riemann
surfaces with punctures and SU(2) Wilson lines. These theories include the
holographic duals of the N=1 supergravity solutions found by Maldacena and
Nunez.
|
[
{
"created": "Tue, 8 Sep 2009 17:28:36 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Jun 2010 18:09:01 GMT",
"version": "v2"
}
] |
2010-06-28
|
[
[
"Benini",
"Francesco",
""
],
[
"Tachikawa",
"Yuji",
""
],
[
"Wecht",
"Brian",
""
]
] |
In theories without known Lagrangian descriptions, knowledge of the global symmetries is often one of the few pieces of information we have at our disposal. Gauging (part of) such global symmetries can then lead to interesting new theories, which are usually still quite mysterious. In this work, we describe a set of tools that can be used to explore the superconformal phases of these theories. In particular, we describe the contribution of such non-Lagrangian sectors to the NSVZ beta-function, and elucidate the counting of marginal deformations. We apply our techniques to N=1 theories obtained by mass deformations of the N=2 conformal theories recently found by Gaiotto. Because the basic building block of these theories is a triskelion, or trivalent vertex, we dub them "Sicilian gauge theories." We identify these N=1 theories as compactifications of the six-dimensional A_N (2,0) theory on Riemann surfaces with punctures and SU(2) Wilson lines. These theories include the holographic duals of the N=1 supergravity solutions found by Maldacena and Nunez.
| 6.96936
| 7.020839
| 8.485168
| 6.471629
| 7.247023
| 6.423092
| 6.943532
| 7.039922
| 6.739374
| 8.355798
| 6.275084
| 6.5845
| 6.991299
| 6.539536
| 6.586551
| 6.496886
| 6.433084
| 6.385286
| 6.405925
| 7.043975
| 6.457828
|
1911.13166
|
Christopher D. Carone
|
Christopher D. Carone
|
Composite Gravitons from Metric-Independent Quantum Field Theories
|
17 pages LaTeX, 4 figures. Invited Brief Review for Modern Physics
Letters A
| null |
10.1142/S0217732320300025
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review some recent work by Carone, Erlich and Vaman on composite gravitons
in metric-independent quantum field theories, with the aim of clarifying a
number of basic issues. Focusing on a theory of scalar fields presented
previously in the literature, we clarify the meaning of the tunings required to
obtain a massless graviton. We argue that this formulation can be interpreted
as the massless limit of a theory of massive composite gravitons in which the
graviton mass term is not of Pauli-Fierz form. We then suggest closely related
theories that can be defined without such a limiting procedure (and hence
without worry about possible ghosts). Finally, we comment on the importance of
finding a compelling ultraviolet completion for models of this type, and
discuss some possibilities.
|
[
{
"created": "Fri, 29 Nov 2019 16:00:47 GMT",
"version": "v1"
}
] |
2020-02-19
|
[
[
"Carone",
"Christopher D.",
""
]
] |
We review some recent work by Carone, Erlich and Vaman on composite gravitons in metric-independent quantum field theories, with the aim of clarifying a number of basic issues. Focusing on a theory of scalar fields presented previously in the literature, we clarify the meaning of the tunings required to obtain a massless graviton. We argue that this formulation can be interpreted as the massless limit of a theory of massive composite gravitons in which the graviton mass term is not of Pauli-Fierz form. We then suggest closely related theories that can be defined without such a limiting procedure (and hence without worry about possible ghosts). Finally, we comment on the importance of finding a compelling ultraviolet completion for models of this type, and discuss some possibilities.
| 11.210139
| 10.227191
| 10.931876
| 10.129348
| 10.641688
| 10.382605
| 11.095701
| 11.598558
| 10.766632
| 12.976784
| 10.404314
| 10.551942
| 10.416919
| 9.861023
| 10.166153
| 10.218822
| 10.233012
| 10.325396
| 10.104326
| 10.16181
| 9.73859
|
hep-th/0101123
|
Sergio Ferrara
|
S. Ferrara
|
Spinors, superalgebras and the signature of space-time
|
18 pages, Based on talks given at the ``XIV Sigrav Congress on
Recents Developments in General Relativity", Genoa, Italy, September 2000
Workshop on "30 years of Supersymmetry", Minneapolis, U.S.A., October 2000
"Dirac Anniversary Meeting", ICTP, Trieste, Italy, November 2000
| null |
10.1142/9789812777386_0006
|
CERN-TH/2001-008
|
hep-th
| null |
Superconformal algebras embedding space-time in any dimension and signature
are considered. Different real forms of the $R$-symmetries arise both for usual
space-time signature (one time) and for Euclidean or exotic signatures (more
than one times). Application of these superalgebras are found in the context of
supergravities with 32 supersymmetries, in any dimension $D \leq 11$. These
theories are related to $D = 11, M, M^*$ and $M^\prime$ theories or $D = 10$,
IIB, IIB$^*$ theories when compactified on Lorentzian tori. All dimensionally
reduced theories fall in three distinct phases specified by the number of (128
bosonic) positive and negative norm states: $(n^+,n^-) = (128,0), (64,64),
(72,56)$.
|
[
{
"created": "Thu, 18 Jan 2001 14:16:52 GMT",
"version": "v1"
}
] |
2017-08-23
|
[
[
"Ferrara",
"S.",
""
]
] |
Superconformal algebras embedding space-time in any dimension and signature are considered. Different real forms of the $R$-symmetries arise both for usual space-time signature (one time) and for Euclidean or exotic signatures (more than one times). Application of these superalgebras are found in the context of supergravities with 32 supersymmetries, in any dimension $D \leq 11$. These theories are related to $D = 11, M, M^*$ and $M^\prime$ theories or $D = 10$, IIB, IIB$^*$ theories when compactified on Lorentzian tori. All dimensionally reduced theories fall in three distinct phases specified by the number of (128 bosonic) positive and negative norm states: $(n^+,n^-) = (128,0), (64,64), (72,56)$.
| 8.117578
| 10.142945
| 9.552896
| 9.376038
| 9.416867
| 9.181175
| 9.600927
| 9.015207
| 8.97045
| 10.614096
| 9.038977
| 8.871181
| 9.515383
| 8.495571
| 8.41
| 8.447804
| 8.651576
| 8.43699
| 8.588606
| 8.955177
| 8.616061
|
2112.03947
|
Shing Yan Li
|
Shing Yan Li, Washington Taylor
|
Natural F-theory constructions of Standard Model structure from $E_7$
flux breaking
|
6 pages, 1 figure; v4: Published version in PRD; v2: Incorporated
intermediate SU(5) and remainder hypercharge breaking to fix issues with flux
breaking pattern in the initial version
|
Phys. Rev. D 106, L061902 (2022)
|
10.1103/PhysRevD.106.L061902
|
MIT-CTP/5372
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We describe a broad class of 4D F-theory models in which an $E_7$ gauge group
is broken through fluxes to the Standard Model gauge group. These models are
ubiquitous in the 4D F-theory landscape and can arise from flux breaking of
most models with $E_7$ factors. While in many cases the $E_7$ breaking leads to
exotic matter, there are large families of models in which the Standard Model
gauge group and chiral matter representations are obtained through an
intermediate $\mathrm{SU}(5)$ group. The number of generations of matter
appearing in these models can easily be small. We demonstrate the possibility
of getting three generations of chiral matter as the preferred matter content.
|
[
{
"created": "Tue, 7 Dec 2021 19:05:02 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Mar 2022 21:30:29 GMT",
"version": "v2"
},
{
"created": "Tue, 5 Apr 2022 20:31:21 GMT",
"version": "v3"
},
{
"created": "Mon, 12 Sep 2022 14:36:39 GMT",
"version": "v4"
}
] |
2022-09-13
|
[
[
"Li",
"Shing Yan",
""
],
[
"Taylor",
"Washington",
""
]
] |
We describe a broad class of 4D F-theory models in which an $E_7$ gauge group is broken through fluxes to the Standard Model gauge group. These models are ubiquitous in the 4D F-theory landscape and can arise from flux breaking of most models with $E_7$ factors. While in many cases the $E_7$ breaking leads to exotic matter, there are large families of models in which the Standard Model gauge group and chiral matter representations are obtained through an intermediate $\mathrm{SU}(5)$ group. The number of generations of matter appearing in these models can easily be small. We demonstrate the possibility of getting three generations of chiral matter as the preferred matter content.
| 7.906516
| 7.5165
| 8.458632
| 6.685364
| 7.157997
| 7.216099
| 7.366003
| 6.946424
| 7.012508
| 8.283311
| 6.785482
| 7.522161
| 7.435956
| 7.203224
| 7.423985
| 7.416524
| 7.303662
| 7.304379
| 7.321444
| 7.622765
| 7.242452
|
1304.7481
|
Carlos Hoyos Badajoz
|
Carlos Hoyos, Bom Soo Kim and Yaron Oz
|
Lifshitz Hydrodynamics
|
11 pages, 1 figure, acceleration term corrected
| null |
10.1007/JHEP11(2013)145
|
TAUP-2964/13
|
hep-th cond-mat.stat-mech cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct the hydrodynamics of quantum critical points with Lifshitz
scaling. There are new dissipative effects allowed by the lack of boost
invariance. The formulation is applicable, in general, to any fluid with an
explicit breaking of boost symmetry. We use a Drude model of a strange metal to
study the physical effects of the new transport coefficient. It can be measured
using electric fields with non-zero gradients, or via the heat production when
an external force is turned on. Scaling arguments fix the resistivity to be
linear in the temperature.
|
[
{
"created": "Sun, 28 Apr 2013 15:38:25 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Dec 2013 09:02:22 GMT",
"version": "v2"
},
{
"created": "Sun, 9 Feb 2014 10:28:13 GMT",
"version": "v3"
}
] |
2015-06-15
|
[
[
"Hoyos",
"Carlos",
""
],
[
"Kim",
"Bom Soo",
""
],
[
"Oz",
"Yaron",
""
]
] |
We construct the hydrodynamics of quantum critical points with Lifshitz scaling. There are new dissipative effects allowed by the lack of boost invariance. The formulation is applicable, in general, to any fluid with an explicit breaking of boost symmetry. We use a Drude model of a strange metal to study the physical effects of the new transport coefficient. It can be measured using electric fields with non-zero gradients, or via the heat production when an external force is turned on. Scaling arguments fix the resistivity to be linear in the temperature.
| 13.894749
| 12.358703
| 13.763718
| 12.383511
| 13.340354
| 13.489223
| 12.545137
| 11.490627
| 13.078302
| 14.834556
| 12.019277
| 12.874063
| 13.798066
| 12.653187
| 12.489461
| 12.85855
| 12.330195
| 12.88118
| 13.029163
| 13.758081
| 12.747547
|
1604.06437
|
Andreas P. Braun
|
Andreas P. Braun and Taizan Watari
|
Heterotic-Type IIA Duality and Degenerations of K3 Surfaces
|
76 pages, 8 figures; v2: minor changes
|
JHEP 1608 (2016) 034
|
10.1007/JHEP08(2016)034
|
IPMU16-0055
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the duality between four-dimensional N=2 compactifications of
heterotic and type IIA string theories. Via adiabatic fibration of the duality
in six dimensions, type IIA string theory compactified on a K3-fibred
Calabi-Yau threefold has a potential heterotic dual compactification. This
adiabatic picture fails whenever the K3 fibre degenerates into multiple
components over points in the base of the fibration. Guided by monodromy, we
identify such degenerate K3 fibres as solitons generalizing the NS5-brane in
heterotic string theory. The theory of degenerations of K3 surfaces can then be
used to find which solitons can be present on the heterotic side. Similar to
small instanton transitions, these solitons escort singular transitions between
different Calabi-Yau threefolds. Starting from well-known examples of
heterotic--type IIA duality, such transitions can take us to type IIA
compactifications with unknown heterotic duals.
|
[
{
"created": "Thu, 21 Apr 2016 19:36:14 GMT",
"version": "v1"
},
{
"created": "Tue, 3 May 2016 23:55:57 GMT",
"version": "v2"
}
] |
2016-08-12
|
[
[
"Braun",
"Andreas P.",
""
],
[
"Watari",
"Taizan",
""
]
] |
We study the duality between four-dimensional N=2 compactifications of heterotic and type IIA string theories. Via adiabatic fibration of the duality in six dimensions, type IIA string theory compactified on a K3-fibred Calabi-Yau threefold has a potential heterotic dual compactification. This adiabatic picture fails whenever the K3 fibre degenerates into multiple components over points in the base of the fibration. Guided by monodromy, we identify such degenerate K3 fibres as solitons generalizing the NS5-brane in heterotic string theory. The theory of degenerations of K3 surfaces can then be used to find which solitons can be present on the heterotic side. Similar to small instanton transitions, these solitons escort singular transitions between different Calabi-Yau threefolds. Starting from well-known examples of heterotic--type IIA duality, such transitions can take us to type IIA compactifications with unknown heterotic duals.
| 7.566569
| 7.757564
| 8.316356
| 7.057263
| 7.69934
| 7.587818
| 7.566422
| 7.430048
| 7.218524
| 8.958689
| 7.308341
| 7.155135
| 7.85587
| 7.005738
| 7.367272
| 7.452229
| 7.338586
| 7.228291
| 7.104687
| 7.856179
| 7.145958
|
hep-th/0605098
|
Bahtiyar Ozgur Sarioglu
|
Nihat Sadik Deger, Ozgur Sarioglu
|
New Supersymmetric Solutions in N=2 Matter Coupled AdS_3 Supergravities
|
1+21 pages, 2 figures, LaTeX2e, JHEP style; v2: added one reference +
made minor changes and added a few comments to clarify the presentation
|
JHEP0608:078,2006
|
10.1088/1126-6708/2006/08/078
| null |
hep-th gr-qc
| null |
We construct new 1/2 supersymmetric solutions in D=3, N=2, matter coupled,
U(1) gauged supergravities and study some of their properties. We do this by
employing a quite general supersymmetry breaking condition, from which we also
redrive some of the already known solutions. Among the new solutions, we have
an explicit non-topological soliton for the non-compact sigma model, a locally
flat solution for the compact sigma model and a string-like solution for both
types of sigma models. The last one is smooth for the compact scalar manifold.
|
[
{
"created": "Tue, 9 May 2006 14:54:37 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Jul 2006 12:33:50 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Deger",
"Nihat Sadik",
""
],
[
"Sarioglu",
"Ozgur",
""
]
] |
We construct new 1/2 supersymmetric solutions in D=3, N=2, matter coupled, U(1) gauged supergravities and study some of their properties. We do this by employing a quite general supersymmetry breaking condition, from which we also redrive some of the already known solutions. Among the new solutions, we have an explicit non-topological soliton for the non-compact sigma model, a locally flat solution for the compact sigma model and a string-like solution for both types of sigma models. The last one is smooth for the compact scalar manifold.
| 9.779099
| 8.275476
| 9.585454
| 8.634737
| 8.330328
| 8.451578
| 8.464152
| 8.973451
| 8.982095
| 10.566667
| 8.496714
| 8.893938
| 9.161483
| 8.966412
| 9.0261
| 8.648526
| 8.576845
| 8.857366
| 8.808707
| 9.449735
| 8.884302
|
1701.08287
|
Ksenia Ikaeva
|
Ksenia Ikaeva
|
On the evaluation of vortical susceptibility of chiral condensate in QCD
|
16 pages
|
Phys. Rev. D 96, 046012 (2017)
|
10.1103/PhysRevD.96.046012
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The vortical susceptibility of chiral condensate is derived in two ways.
First we obtain this using the spectrum of the Dirac operator in a metric of a
curved space-time, which corresponds to rotation. Second we come to the
expression for the susceptibility via the holographic approach to QCD.
|
[
{
"created": "Sat, 28 Jan 2017 13:00:47 GMT",
"version": "v1"
}
] |
2017-08-30
|
[
[
"Ikaeva",
"Ksenia",
""
]
] |
The vortical susceptibility of chiral condensate is derived in two ways. First we obtain this using the spectrum of the Dirac operator in a metric of a curved space-time, which corresponds to rotation. Second we come to the expression for the susceptibility via the holographic approach to QCD.
| 16.186674
| 13.921732
| 12.088346
| 12.299592
| 12.092843
| 13.650426
| 12.986722
| 12.588504
| 12.226368
| 12.277367
| 12.657564
| 13.047414
| 12.673176
| 12.404585
| 13.069103
| 12.962473
| 13.279421
| 12.676436
| 12.351777
| 11.589643
| 13.188264
|
1101.5068
|
Tigran Tchrakian
|
Eugen Radu and Tigran Tchrakian
|
New Chern-Simons densities in both odd and even dimensions
|
10 pages, contribution to Sergey Matinyan Festschrift, World
Scientific
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
After reviewing briefly the dimensional reduction of Chern--Pontryagin
densities, we define new Chern--Simons densities expressed in terms of
Yang-Mills and Higgs fields. These are defined in all dimensions, including in
even dimensional spacetimes. They are constructed by subjecting the
dimensionally reduced Chern--Pontryagin densites to further descent by two
steps.
|
[
{
"created": "Wed, 26 Jan 2011 14:43:47 GMT",
"version": "v1"
}
] |
2011-01-27
|
[
[
"Radu",
"Eugen",
""
],
[
"Tchrakian",
"Tigran",
""
]
] |
After reviewing briefly the dimensional reduction of Chern--Pontryagin densities, we define new Chern--Simons densities expressed in terms of Yang-Mills and Higgs fields. These are defined in all dimensions, including in even dimensional spacetimes. They are constructed by subjecting the dimensionally reduced Chern--Pontryagin densites to further descent by two steps.
| 13.055616
| 10.360017
| 11.343406
| 9.787215
| 12.229017
| 11.056049
| 10.985111
| 10.553041
| 9.808566
| 12.890913
| 10.228263
| 10.550506
| 11.098707
| 10.511543
| 10.290846
| 10.687306
| 10.755594
| 10.586919
| 10.528047
| 10.864584
| 10.342206
|
hep-th/0211106
|
Nikolai Mitov
|
Nikolay M. Nikolov, Yassen S. Stanev, Ivan T. Todorov
|
Global Conformal Invariance and Bilocal Fields with Rational Correlation
Functions
|
13 pages, LATEX, amsfonts, latexsym
| null | null | null |
hep-th
| null |
The singular part of the \textit{operator product expansion} (OPE) of a pair
of \textit{globally conformal invariant} (GCI) scalar fields $\phi$ of
(integer) dimension $d$ can be written as a sum of the 2-point function of
$\phi$ and $d-1$ bilocal conformal fields $V_{\nu}(x_1, x_2)$ of dimension
$(\nu, \nu)$, $\nu = 1, ..., d-1$. As the correlation functions of $\phi(x)$
are proven to be rational [6], we argue that the correlation functions of
$V_{\nu}$ can also be assumed rational. Each $V_{\nu}(x_1, x_2)$ is expanded
into local symmetric tensor fields of \textit{twist} (dimension minus rank)
$2\nu$. The case $d=2$, considered previously [5], is briefly reviewed and
current work on the $d=4$ case (of a Lagrangean density in 4 space--time
dimensions) is previewed.
|
[
{
"created": "Tue, 12 Nov 2002 15:56:16 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Dec 2002 19:27:37 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Nikolov",
"Nikolay M.",
""
],
[
"Stanev",
"Yassen S.",
""
],
[
"Todorov",
"Ivan T.",
""
]
] |
The singular part of the \textit{operator product expansion} (OPE) of a pair of \textit{globally conformal invariant} (GCI) scalar fields $\phi$ of (integer) dimension $d$ can be written as a sum of the 2-point function of $\phi$ and $d-1$ bilocal conformal fields $V_{\nu}(x_1, x_2)$ of dimension $(\nu, \nu)$, $\nu = 1, ..., d-1$. As the correlation functions of $\phi(x)$ are proven to be rational [6], we argue that the correlation functions of $V_{\nu}$ can also be assumed rational. Each $V_{\nu}(x_1, x_2)$ is expanded into local symmetric tensor fields of \textit{twist} (dimension minus rank) $2\nu$. The case $d=2$, considered previously [5], is briefly reviewed and current work on the $d=4$ case (of a Lagrangean density in 4 space--time dimensions) is previewed.
| 7.297527
| 6.455143
| 6.574487
| 6.510722
| 6.209214
| 6.270726
| 7.043322
| 6.901844
| 6.317671
| 7.268597
| 6.681503
| 6.404027
| 6.505766
| 6.073778
| 6.324705
| 6.165054
| 6.046342
| 6.280632
| 6.173338
| 6.319804
| 6.301652
|
hep-th/0203195
|
Antti Salmela
|
Antti Salmela
|
An algebraic method for solving the SU(3) Gauss law
|
20 pages, LaTeX2e; references added, other changes minor; to appear
in J. Math. Phys
|
J.Math.Phys. 44 (2003) 2521-2533
|
10.1063/1.1572198
|
HIP-2002-11/TH
|
hep-th
| null |
A generalisation of existing SU(2) results is obtained. In particular, the
source-free Gauss law for SU(3)-valued gauge fields is solved using a
non-Abelian analogue of the Poincare lemma. When sources are present, the
colour-electric field is divided into two parts in a way similar to the Hodge
decomposition. Singularities due to coinciding eigenvalues of the
colour-magnetic field are also analysed.
|
[
{
"created": "Thu, 21 Mar 2002 13:49:39 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Apr 2003 11:25:57 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Salmela",
"Antti",
""
]
] |
A generalisation of existing SU(2) results is obtained. In particular, the source-free Gauss law for SU(3)-valued gauge fields is solved using a non-Abelian analogue of the Poincare lemma. When sources are present, the colour-electric field is divided into two parts in a way similar to the Hodge decomposition. Singularities due to coinciding eigenvalues of the colour-magnetic field are also analysed.
| 11.336313
| 11.630724
| 11.800952
| 10.362729
| 11.542162
| 11.461444
| 11.219516
| 10.898942
| 10.708412
| 11.940986
| 10.59215
| 11.055393
| 10.878238
| 10.887115
| 10.712473
| 10.900836
| 10.728501
| 10.846854
| 10.892112
| 10.580093
| 10.713307
|
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