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2.01k
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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/0505107
|
Richard Andrews P
|
R. P. Andrews (Swansea U.) and N. Dorey (Cambridge U., DAMTP)
|
Spherical Deconstruction
|
16 pages
|
Phys.Lett. B631 (2005) 74-82
|
10.1016/j.physletb.2005.09.078
|
SWAT-05-432
|
hep-th
| null |
We present evidence that N=1* SUSY Yang-Mills provides a deconstruction of a
six-dimensional gauge theory compactified on a two-sphere. The six-dimensional
theory is a twisted compactification of N=(1,1) SUSY Yang-Mills theory of the
type considered by Maldacena and Nunez (MN). In particular, we calculate the
full classical spectrum of the N=1* theory with gauge group U(N) in its Higgs
vacuum. In the limit N goes to infinity, we find an exact agreement with the
Kaluza-Klein spectrum of the MN compactification.
|
[
{
"created": "Thu, 12 May 2005 14:22:40 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Dec 2005 13:14:57 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Andrews",
"R. P.",
"",
"Swansea U."
],
[
"Dorey",
"N.",
"",
"Cambridge U., DAMTP"
]
] |
We present evidence that N=1* SUSY Yang-Mills provides a deconstruction of a six-dimensional gauge theory compactified on a two-sphere. The six-dimensional theory is a twisted compactification of N=(1,1) SUSY Yang-Mills theory of the type considered by Maldacena and Nunez (MN). In particular, we calculate the full classical spectrum of the N=1* theory with gauge group U(N) in its Higgs vacuum. In the limit N goes to infinity, we find an exact agreement with the Kaluza-Klein spectrum of the MN compactification.
| 5.485558
| 4.491577
| 6.325944
| 4.65544
| 4.521167
| 4.322691
| 4.775108
| 4.531709
| 4.693919
| 6.540432
| 4.643453
| 4.770497
| 5.416329
| 4.720282
| 4.711607
| 4.680838
| 4.625392
| 4.749587
| 4.774181
| 5.346514
| 4.722466
|
1608.03247
|
Li Li
|
Li Li
|
Hyperscaling Violating Solutions in Generalised EMD Theory
|
15 pages, 1 figure; v2: references added; v3: typos corrected, a
top-down example in section 4 added, to appear in Physics Letters B
| null |
10.1016/j.physletb.2017.02.004
|
CCTP-2016-12, CCQCN-2016-160
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This short note is devoted to deriving scaling but hyperscaling violating
solutions in a generalised Einstein-Maxwell-Dilaton theory with an arbitrary
number of scalars and vectors. We obtain analytic solutions in some special
case and discuss the physical constraints on the allowed parameter range in
order to have a well-defined holographic ground-state solution.
|
[
{
"created": "Wed, 10 Aug 2016 18:15:49 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Sep 2016 12:43:29 GMT",
"version": "v2"
},
{
"created": "Fri, 17 Feb 2017 13:09:06 GMT",
"version": "v3"
}
] |
2017-02-20
|
[
[
"Li",
"Li",
""
]
] |
This short note is devoted to deriving scaling but hyperscaling violating solutions in a generalised Einstein-Maxwell-Dilaton theory with an arbitrary number of scalars and vectors. We obtain analytic solutions in some special case and discuss the physical constraints on the allowed parameter range in order to have a well-defined holographic ground-state solution.
| 14.096741
| 11.110274
| 12.308524
| 10.183947
| 10.851596
| 11.605842
| 10.395105
| 11.187785
| 10.921848
| 13.281609
| 10.846779
| 11.032346
| 12.561505
| 11.390301
| 11.712983
| 10.898531
| 11.31741
| 10.868099
| 11.275731
| 12.155254
| 11.456144
|
hep-th/0509212
|
Cumrun Vafa
|
Cumrun Vafa
|
The String Landscape and the Swampland
|
9 pages, minor additions and corrections
| null | null |
HUTP-05/A043
|
hep-th
| null |
Recent developments in string theory suggest that string theory landscape of
vacua is vast. It is natural to ask if this landscape is as vast as allowed by
consistent-looking effective field theories. We use universality ideas from
string theory to suggest that this is not the case, and that the landscape is
surrounded by an even more vast swampland of consistent-looking semiclassical
effective field theories, which are actually inconsistent. Identification of
the boundary of the landscape is a central question which is at the heart of
the meaning of universality properties of consistent quantum gravitational
theories. We propose certain finiteness criteria as one relevant factor in
identifying this boundary (based on talks given at the Einstein Symposium in
Alexandria, at the 2005 Simons Workshop in Mathematics and Physics, and the
talk to have been presented at Strings 2005).
|
[
{
"created": "Wed, 28 Sep 2005 15:08:39 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Oct 2005 15:22:42 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Vafa",
"Cumrun",
""
]
] |
Recent developments in string theory suggest that string theory landscape of vacua is vast. It is natural to ask if this landscape is as vast as allowed by consistent-looking effective field theories. We use universality ideas from string theory to suggest that this is not the case, and that the landscape is surrounded by an even more vast swampland of consistent-looking semiclassical effective field theories, which are actually inconsistent. Identification of the boundary of the landscape is a central question which is at the heart of the meaning of universality properties of consistent quantum gravitational theories. We propose certain finiteness criteria as one relevant factor in identifying this boundary (based on talks given at the Einstein Symposium in Alexandria, at the 2005 Simons Workshop in Mathematics and Physics, and the talk to have been presented at Strings 2005).
| 11.954713
| 12.573105
| 13.257229
| 11.429187
| 13.065269
| 11.978521
| 11.380577
| 11.988436
| 12.248951
| 13.660277
| 11.627009
| 11.439629
| 11.832839
| 11.420269
| 11.21938
| 11.114849
| 11.344539
| 11.392487
| 11.484366
| 11.85625
| 11.843084
|
1009.3236
|
Carl Bender
|
Carl M. Bender and R. J. Kalveks
|
Extending PT symmetry from Heisenberg algebra to E2 algebra
|
8 pages, 7 figures
|
Int.J.Theor.Phys.50:955-962,2011
|
10.1007/s10773-010-0511-2
| null |
hep-th math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The E2 algebra has three elements, J, u, and v, which satisfy the commutation
relations [u,J]=iv, [v,J]=-iu, [u,v]=0. We can construct the Hamiltonian
H=J^2+gu, where g is a real parameter, from these elements. This Hamiltonian is
Hermitian and consequently it has real eigenvalues. However, we can also
construct the PT-symmetric and non-Hermitian Hamiltonian H=J^2+igu, where again
g is real. As in the case of PT-symmetric Hamiltonians constructed from the
elements x and p of the Heisenberg algebra, there are two regions in parameter
space for this PT-symmetric Hamiltonian, a region of unbroken PT symmetry in
which all the eigenvalues are real and a region of broken PT symmetry in which
some of the eigenvalues are complex. The two regions are separated by a
critical value of g.
|
[
{
"created": "Thu, 16 Sep 2010 18:17:00 GMT",
"version": "v1"
}
] |
2011-03-17
|
[
[
"Bender",
"Carl M.",
""
],
[
"Kalveks",
"R. J.",
""
]
] |
The E2 algebra has three elements, J, u, and v, which satisfy the commutation relations [u,J]=iv, [v,J]=-iu, [u,v]=0. We can construct the Hamiltonian H=J^2+gu, where g is a real parameter, from these elements. This Hamiltonian is Hermitian and consequently it has real eigenvalues. However, we can also construct the PT-symmetric and non-Hermitian Hamiltonian H=J^2+igu, where again g is real. As in the case of PT-symmetric Hamiltonians constructed from the elements x and p of the Heisenberg algebra, there are two regions in parameter space for this PT-symmetric Hamiltonian, a region of unbroken PT symmetry in which all the eigenvalues are real and a region of broken PT symmetry in which some of the eigenvalues are complex. The two regions are separated by a critical value of g.
| 4.203492
| 4.325606
| 4.438997
| 3.993876
| 4.40236
| 4.330794
| 4.356955
| 4.253328
| 4.345218
| 4.350123
| 4.025896
| 3.890577
| 4.083413
| 4.035487
| 4.050689
| 3.962058
| 4.054301
| 3.9284
| 4.030206
| 4.112746
| 3.994614
|
2012.01717
|
Keisuke Izumi
|
Yugo Abe, Takeo Inami and Keisuke Izumi
|
Perturbative $S$-matrix unitarity ($S^{\dagger}S=1$) in $R_{\mu \nu} ^2$
gravity
|
11 pages, 4 figures, accepted version for publication in MPLA
| null |
10.1142/S0217732321501054
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that in the quadratic curvature theory of gravity, or simply $R_{\mu
\nu} ^2$ gravity, the tree-level unitariy bound (tree unitarity) is violated in
the UV region but an analog for $S$-matrix unitarity ($SS^{\dagger} = 1$) is
satisfied. This theory is renormalizable, and hence the failure of tree
unitarity is a counter example of Llewellyn Smith's conjecture on the relation
between them. We have recently proposed a new conjecture that $S$-matrix
unitarity gives the same conditions as renormalizability. We verify that
$S$-matrix unitarity holds in the matter-graviton scattering at tree level in
the $R_{\mu \nu} ^2$ gravity, demonstrating our new conjecture.
|
[
{
"created": "Thu, 3 Dec 2020 06:02:22 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Dec 2020 04:33:11 GMT",
"version": "v2"
},
{
"created": "Sun, 21 Mar 2021 12:28:24 GMT",
"version": "v3"
},
{
"created": "Wed, 26 May 2021 06:42:35 GMT",
"version": "v4"
}
] |
2021-06-16
|
[
[
"Abe",
"Yugo",
""
],
[
"Inami",
"Takeo",
""
],
[
"Izumi",
"Keisuke",
""
]
] |
We show that in the quadratic curvature theory of gravity, or simply $R_{\mu \nu} ^2$ gravity, the tree-level unitariy bound (tree unitarity) is violated in the UV region but an analog for $S$-matrix unitarity ($SS^{\dagger} = 1$) is satisfied. This theory is renormalizable, and hence the failure of tree unitarity is a counter example of Llewellyn Smith's conjecture on the relation between them. We have recently proposed a new conjecture that $S$-matrix unitarity gives the same conditions as renormalizability. We verify that $S$-matrix unitarity holds in the matter-graviton scattering at tree level in the $R_{\mu \nu} ^2$ gravity, demonstrating our new conjecture.
| 8.028299
| 7.391026
| 7.780916
| 6.725277
| 7.995336
| 6.761507
| 6.644382
| 7.068445
| 6.893904
| 8.262362
| 7.352149
| 7.301002
| 7.864493
| 7.464818
| 7.352989
| 7.429245
| 7.403727
| 7.275863
| 7.374368
| 8.009102
| 7.40884
|
1612.02894
|
Itamar Yaakov
|
Tatsuma Nishioka, Itamar Yaakov
|
Supersymmetric R\'enyi Entropy and Defect Operators
|
45 pages, 1 figure
| null |
10.1007/JHEP11(2017)071
|
UT-16-35, IPMU16-0191
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We describe the defect operator interpretation of the supersymmetric Renyi
entropies of superconformal field theories in three, four and five dimensions.
The operators involved are supersymmetric codimension-two defects in an
auxiliary Z_n gauge theory coupled to n copies of the SCFT. We compute the
exact expectation values of such operators using localization, and compare the
results to the supersymmetric Renyi entropy. The agreement between the two
implies a relationship between the partition function on a squashed sphere and
the one on a round sphere in the presence of defects.
|
[
{
"created": "Fri, 9 Dec 2016 02:45:16 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Sep 2017 06:53:11 GMT",
"version": "v2"
}
] |
2017-12-06
|
[
[
"Nishioka",
"Tatsuma",
""
],
[
"Yaakov",
"Itamar",
""
]
] |
We describe the defect operator interpretation of the supersymmetric Renyi entropies of superconformal field theories in three, four and five dimensions. The operators involved are supersymmetric codimension-two defects in an auxiliary Z_n gauge theory coupled to n copies of the SCFT. We compute the exact expectation values of such operators using localization, and compare the results to the supersymmetric Renyi entropy. The agreement between the two implies a relationship between the partition function on a squashed sphere and the one on a round sphere in the presence of defects.
| 7.994471
| 7.29629
| 9.753231
| 7.453658
| 7.725349
| 7.749981
| 7.391091
| 7.65048
| 7.177387
| 10.246662
| 6.965432
| 7.20146
| 8.62652
| 7.35476
| 7.372371
| 7.081537
| 7.165033
| 7.330688
| 7.691858
| 8.118942
| 7.203517
|
hep-th/0504100
|
Govindarajan Thupil Dr
|
R. K. Kaul, T. R. Govindarajan, P. Ramadevi
|
Schwarz Type Topological Quantum Field Theories
|
20 pages, Prepared for Encyclopedia of Mathematical Physics,
paragraph added minor corrections and few references added
| null | null | null |
hep-th
| null |
Topological quantum field theories can be used to probe topological
properties of low dimensional manifolds. A class of these theories known as
Schwarz type theories, comprise of Chern-Simons theories and BF theories. In
three dimensions both capture the properties of knots and links leading to
invariants characterising them. These can also be used to construct
three-manifold invariants. Three dimensional gravity is described by these
field theories. BF theories exist also in higher dimensions. In four
dimensions, these describe two-dimensional generalization of knots as well as
Donaldson invariants.
|
[
{
"created": "Tue, 12 Apr 2005 10:36:59 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Apr 2005 09:24:46 GMT",
"version": "v2"
},
{
"created": "Mon, 9 May 2005 11:06:41 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Kaul",
"R. K.",
""
],
[
"Govindarajan",
"T. R.",
""
],
[
"Ramadevi",
"P.",
""
]
] |
Topological quantum field theories can be used to probe topological properties of low dimensional manifolds. A class of these theories known as Schwarz type theories, comprise of Chern-Simons theories and BF theories. In three dimensions both capture the properties of knots and links leading to invariants characterising them. These can also be used to construct three-manifold invariants. Three dimensional gravity is described by these field theories. BF theories exist also in higher dimensions. In four dimensions, these describe two-dimensional generalization of knots as well as Donaldson invariants.
| 8.981748
| 8.294973
| 9.854931
| 8.778455
| 8.991377
| 9.178939
| 10.121786
| 8.904309
| 8.459802
| 11.186865
| 8.34395
| 8.461586
| 9.41414
| 8.597444
| 8.210666
| 8.332577
| 8.462826
| 8.459824
| 8.607575
| 9.194606
| 8.394889
|
hep-th/9705196
|
Subinit Roy
|
P. Mukherjee (A.B.N. Seal College, West-Bengal, India)
|
Magnetic Vortices in a Gauged O(3) Sigma Model with Symmetry Breaking
Self-Interaction
|
8 pages, Latex
|
Phys.Rev. D58 (1998) 105025
|
10.1103/PhysRevD.58.105025
| null |
hep-th
| null |
We consider a (2+1) dimensional nonlinear O(3) sigma model with its U(1)
subgroup gauged along with the inclusion of a self-interaction having symmetry
breaking minima.The gauge field dynamics is governed by the Maxwell term.The
model is shown to support topologically stable purely magnetic self-dual
vortices.
|
[
{
"created": "Mon, 26 May 1997 15:48:20 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Mukherjee",
"P.",
"",
"A.B.N. Seal College, West-Bengal, India"
]
] |
We consider a (2+1) dimensional nonlinear O(3) sigma model with its U(1) subgroup gauged along with the inclusion of a self-interaction having symmetry breaking minima.The gauge field dynamics is governed by the Maxwell term.The model is shown to support topologically stable purely magnetic self-dual vortices.
| 11.927314
| 8.407937
| 11.291588
| 8.542896
| 7.903861
| 8.04166
| 7.946607
| 8.385478
| 8.420969
| 12.261316
| 9.172605
| 10.201369
| 11.7622
| 10.269784
| 10.296942
| 10.062416
| 10.448218
| 10.177809
| 10.484204
| 11.271928
| 10.75035
|
hep-th/0103029
|
Rafael I. Nepomechie
|
Rafael I. Nepomechie
|
The boundary supersymmetric sine-Gordon model revisited
|
9 pages, LaTeX; amssymb, no figures; v2: one equation and one
reference added; v3: more references and a "note added"
|
Phys.Lett.B509:183-188,2001
|
10.1016/S0370-2693(01)00534-2
|
UMTG-227
|
hep-th
| null |
We argue that, contrary to previous claims, the supersymmetric sine-Gordon
model with boundary has a two-parameter family of boundary interactions which
preserves both integrability and supersymmetry. We also propose the
corresponding boundary S matrix for the first supermultiplet of breathers.
|
[
{
"created": "Mon, 5 Mar 2001 21:55:45 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Mar 2001 15:19:06 GMT",
"version": "v2"
},
{
"created": "Mon, 19 Mar 2001 16:13:12 GMT",
"version": "v3"
}
] |
2014-11-18
|
[
[
"Nepomechie",
"Rafael I.",
""
]
] |
We argue that, contrary to previous claims, the supersymmetric sine-Gordon model with boundary has a two-parameter family of boundary interactions which preserves both integrability and supersymmetry. We also propose the corresponding boundary S matrix for the first supermultiplet of breathers.
| 12.250762
| 7.656202
| 15.292043
| 8.217745
| 7.646253
| 7.267032
| 8.064691
| 7.594658
| 8.446677
| 14.456606
| 8.41559
| 10.228814
| 13.53695
| 10.297625
| 9.789796
| 10.525846
| 9.741523
| 9.797125
| 10.502289
| 11.978273
| 10.584311
|
1903.04244
|
Hiromu Shimoji
|
Tomohiro Inagaki, Yamato Matsuo, Hiromu Shimoji
|
Four-Fermion Interaction Model on $\mathcal{M}^{D-1} \otimes S^1$
|
22 pages, 13 figures
| null |
10.3390/sym11040451
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Four-fermion interaction models are often used as simplified models of
interacting fermion fields with the chiral symmetry. The chiral symmetry is
dynamically broken for a larger four-fermion coupling. It is expected that the
broken symmetry is restored under extreme conditions. In this paper, the finite
size effect on the chiral symmetry breaking is investigated in the four-fermion
interaction model. We consider the model on a flat spacetime with a
compactified spatial coordinate, $\mathcal{M}^{D-1} \otimes S^1$ and obtain
explicit expressions of the effective potential for arbitrary spacetime
dimensions in the leading order of the $1/N$ expansion. Evaluating the
effective potential, we show the critical lines which divide the symmetric and
the broken phase and the sign-flip condition for the Casimir force.
|
[
{
"created": "Mon, 11 Mar 2019 12:33:01 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Apr 2019 07:41:10 GMT",
"version": "v2"
}
] |
2019-04-11
|
[
[
"Inagaki",
"Tomohiro",
""
],
[
"Matsuo",
"Yamato",
""
],
[
"Shimoji",
"Hiromu",
""
]
] |
Four-fermion interaction models are often used as simplified models of interacting fermion fields with the chiral symmetry. The chiral symmetry is dynamically broken for a larger four-fermion coupling. It is expected that the broken symmetry is restored under extreme conditions. In this paper, the finite size effect on the chiral symmetry breaking is investigated in the four-fermion interaction model. We consider the model on a flat spacetime with a compactified spatial coordinate, $\mathcal{M}^{D-1} \otimes S^1$ and obtain explicit expressions of the effective potential for arbitrary spacetime dimensions in the leading order of the $1/N$ expansion. Evaluating the effective potential, we show the critical lines which divide the symmetric and the broken phase and the sign-flip condition for the Casimir force.
| 6.547695
| 6.182384
| 6.721586
| 6.057907
| 6.836786
| 6.47457
| 6.698709
| 6.397067
| 6.540225
| 7.176591
| 6.340314
| 6.263025
| 6.509877
| 6.293042
| 5.903477
| 6.177214
| 6.259853
| 6.352886
| 6.259982
| 6.264589
| 6.0234
|
1407.6008
|
Christoph Keller
|
Christoph A. Keller and Alexander Maloney
|
Poincare Series, 3D Gravity and CFT Spectroscopy
|
36 pages, 2 figures
| null |
10.1007/JHEP02(2015)080
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Modular invariance strongly constrains the spectrum of states of two
dimensional conformal field theories. By summing over the images of the modular
group, we construct candidate CFT partition functions that are modular
invariant and have positive spectrum. This allows us to efficiently extract the
constraints on the CFT spectrum imposed by modular invariance, giving
information on the spectrum that goes beyond the Cardy growth of the asymptotic
density of states. Some of the candidate modular invariant partition functions
we construct have gaps of size (c-1)/12, proving that gaps of this size and
smaller are consistent with modular invariance. We also revisit the partition
function of pure Einstein gravity in AdS3 obtained by summing over geometries,
which has a spectrum with two unphysical features: it is continuous, and the
density of states is not positive definite. We show that both of these can be
resolved by adding corrections to the spectrum which are subleading in the
semi-classical (large central charge) limit.
|
[
{
"created": "Tue, 22 Jul 2014 20:00:24 GMT",
"version": "v1"
}
] |
2015-06-22
|
[
[
"Keller",
"Christoph A.",
""
],
[
"Maloney",
"Alexander",
""
]
] |
Modular invariance strongly constrains the spectrum of states of two dimensional conformal field theories. By summing over the images of the modular group, we construct candidate CFT partition functions that are modular invariant and have positive spectrum. This allows us to efficiently extract the constraints on the CFT spectrum imposed by modular invariance, giving information on the spectrum that goes beyond the Cardy growth of the asymptotic density of states. Some of the candidate modular invariant partition functions we construct have gaps of size (c-1)/12, proving that gaps of this size and smaller are consistent with modular invariance. We also revisit the partition function of pure Einstein gravity in AdS3 obtained by summing over geometries, which has a spectrum with two unphysical features: it is continuous, and the density of states is not positive definite. We show that both of these can be resolved by adding corrections to the spectrum which are subleading in the semi-classical (large central charge) limit.
| 7.118062
| 7.205144
| 8.037787
| 7.005754
| 7.529249
| 7.316819
| 7.029334
| 6.813884
| 6.704988
| 8.360462
| 6.6378
| 6.366344
| 7.269703
| 6.745698
| 6.662276
| 6.702846
| 6.560727
| 6.731191
| 6.489303
| 7.395676
| 6.681165
|
0712.4070
|
Mohsen Alishahiha
|
Mohsen Alishahiha, Farhad Ardalan, Hajar Ebrahim and Subir
Mukhopadhyay
|
On 5D Small Black Holes
|
18 pages, Latex; V2: few comments added; V3: typos corrected
|
JHEP 0803:074,2008
|
10.1088/1126-6708/2008/03/074
| null |
hep-th
| null |
Using higher order corrections we argue that five dimensional N=2 and N=4
small black holes exhibit supersymmetry enhancement in near horizon geometry
leading to eight and sixteen supercharges, respectively. Using this enhancement
at supergravity level we can identify the global supergroup of the near horizon
geometry. In particular we show how this supergroup distinguishes between small
and large black holes in N=2 case.
|
[
{
"created": "Tue, 25 Dec 2007 13:22:53 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Jan 2008 15:53:13 GMT",
"version": "v2"
},
{
"created": "Mon, 26 May 2008 07:46:48 GMT",
"version": "v3"
}
] |
2014-11-18
|
[
[
"Alishahiha",
"Mohsen",
""
],
[
"Ardalan",
"Farhad",
""
],
[
"Ebrahim",
"Hajar",
""
],
[
"Mukhopadhyay",
"Subir",
""
]
] |
Using higher order corrections we argue that five dimensional N=2 and N=4 small black holes exhibit supersymmetry enhancement in near horizon geometry leading to eight and sixteen supercharges, respectively. Using this enhancement at supergravity level we can identify the global supergroup of the near horizon geometry. In particular we show how this supergroup distinguishes between small and large black holes in N=2 case.
| 10.87746
| 9.881969
| 13.575978
| 10.016627
| 10.1127
| 9.836637
| 10.389256
| 9.859657
| 11.0392
| 12.940839
| 9.434308
| 10.569531
| 11.842776
| 10.523515
| 10.437296
| 10.212826
| 10.408721
| 9.963778
| 10.425868
| 11.740111
| 9.85469
|
1402.1863
|
Jorge L. deLyra
|
Jorge L. deLyra
|
Gaussian-Perturbative Calculations with a Homogeneous External Source
|
38 pages, including 12 pages of appendices with explicit
calculations, 1 figure. V2: fixed a few typos in equations. V3: improved
introduction and conclusions. V4: further text improvements and fixes of
typos. V5: fixed a garbled equation
| null | null | null |
hep-th hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive the equation of the critical curve and calculate the renormalized
masses of the $SO(N)$-symmetric $\lambda\phi^{4}$ model in the presence of a
homogeneous external source. We do this using the Gaussian-Perturbative
approximation on finite lattices and explicitly taking the continuum limit. No
disabling divergences are found in the final results, and no renormalization is
necessary. We show that the results give a complete description of the critical
behavior of the model and of the phenomenon of spontaneous symmetry breaking,
at the quantum-field-theoretical level.
We show that the renormalized masses depend on the external source, and point
out the consequences of that fact for the design of computer simulations of the
model. We point out a simple but interesting consequence of the results,
regarding the role of the $\lambda\phi^{4}$ model in the Standard Model of
high-energy particle physics. Using the experimentally known values of the mass
and of the expectation value of the Higgs field, we determine uniquely the
values of the bare dimensionless parameters $\alpha$ and $\lambda$ of the
model, which turn out to be small numbers, significantly less that one.
|
[
{
"created": "Sat, 8 Feb 2014 16:31:40 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Feb 2014 15:54:23 GMT",
"version": "v2"
},
{
"created": "Sat, 15 Feb 2014 15:55:46 GMT",
"version": "v3"
},
{
"created": "Mon, 1 Sep 2014 16:12:39 GMT",
"version": "v4"
}
] |
2014-09-02
|
[
[
"deLyra",
"Jorge L.",
""
]
] |
We derive the equation of the critical curve and calculate the renormalized masses of the $SO(N)$-symmetric $\lambda\phi^{4}$ model in the presence of a homogeneous external source. We do this using the Gaussian-Perturbative approximation on finite lattices and explicitly taking the continuum limit. No disabling divergences are found in the final results, and no renormalization is necessary. We show that the results give a complete description of the critical behavior of the model and of the phenomenon of spontaneous symmetry breaking, at the quantum-field-theoretical level. We show that the renormalized masses depend on the external source, and point out the consequences of that fact for the design of computer simulations of the model. We point out a simple but interesting consequence of the results, regarding the role of the $\lambda\phi^{4}$ model in the Standard Model of high-energy particle physics. Using the experimentally known values of the mass and of the expectation value of the Higgs field, we determine uniquely the values of the bare dimensionless parameters $\alpha$ and $\lambda$ of the model, which turn out to be small numbers, significantly less that one.
| 7.510849
| 7.64649
| 7.546205
| 7.377229
| 7.544454
| 7.847933
| 7.54652
| 7.84247
| 7.507992
| 7.43722
| 7.355618
| 7.422549
| 7.420442
| 7.409335
| 7.529125
| 7.306593
| 7.264549
| 7.314566
| 7.321603
| 7.71084
| 7.27839
|
hep-th/0008102
|
Luis Anchordoqui
|
Luis Anchordoqui, and Kasper Olsen
|
Comments on Brane World Cosmology
|
Updates to match journal version
|
Mod.Phys.Lett.A16:1157-1169,2001
|
10.1142/S0217732301004352
| null |
hep-th astro-ph gr-qc hep-ph
| null |
In this paper we consider some constraints on brane-world cosmologies. In the
first part we analyze different behaviors for the expansion of our universe by
imposing constraints on the speed of sound. In the second part, we study the
nature of matter on the brane world by means of the well-known energy
conditions. We find that the strong energy condition must be completely
violated at late stages of the universe.
|
[
{
"created": "Fri, 11 Aug 2000 21:36:27 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Aug 2000 20:51:21 GMT",
"version": "v2"
},
{
"created": "Sat, 2 Jun 2001 16:03:57 GMT",
"version": "v3"
}
] |
2014-11-18
|
[
[
"Anchordoqui",
"Luis",
""
],
[
"Olsen",
"Kasper",
""
]
] |
In this paper we consider some constraints on brane-world cosmologies. In the first part we analyze different behaviors for the expansion of our universe by imposing constraints on the speed of sound. In the second part, we study the nature of matter on the brane world by means of the well-known energy conditions. We find that the strong energy condition must be completely violated at late stages of the universe.
| 8.930282
| 8.764951
| 7.337434
| 7.891792
| 7.883266
| 8.356025
| 8.226518
| 8.348366
| 8.133286
| 7.927544
| 7.907589
| 8.490006
| 8.170736
| 8.043566
| 8.094563
| 8.381909
| 8.323443
| 8.275914
| 8.28992
| 8.278964
| 8.164741
|
2404.14479
|
Alex Radcliffe
|
Alex Radcliffe
|
Non-saturation of Bootstrap Bounds by Hyperbolic Orbifolds
|
21 pages, 6 figures
| null | null | null |
hep-th math-ph math.MP math.SP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In recent years the conformal bootstrap has produced surprisingly tight
bounds on many non-perturbative CFTs. It is an open question whether such
bounds are indeed saturated by these CFTs. A toy version of this question
appears in a recent application of the conformal bootstrap to hyperbolic
orbifolds, where one finds bounds on Laplace eigenvalues that are exceptionally
close to saturation by explicit orbifolds. In some instances, the bounds agree
with the actual values to 11 significant digits. In this work we show, under
reasonable assumptions about the convergence of numerics, that these bounds are
not in fact saturated. In doing so, we find formulas for the OPE coefficients
of hyperbolic orbifolds, using links between them and the Rankin-Cohen brackets
of modular forms.
|
[
{
"created": "Mon, 22 Apr 2024 18:00:00 GMT",
"version": "v1"
}
] |
2024-04-24
|
[
[
"Radcliffe",
"Alex",
""
]
] |
In recent years the conformal bootstrap has produced surprisingly tight bounds on many non-perturbative CFTs. It is an open question whether such bounds are indeed saturated by these CFTs. A toy version of this question appears in a recent application of the conformal bootstrap to hyperbolic orbifolds, where one finds bounds on Laplace eigenvalues that are exceptionally close to saturation by explicit orbifolds. In some instances, the bounds agree with the actual values to 11 significant digits. In this work we show, under reasonable assumptions about the convergence of numerics, that these bounds are not in fact saturated. In doing so, we find formulas for the OPE coefficients of hyperbolic orbifolds, using links between them and the Rankin-Cohen brackets of modular forms.
| 9.244177
| 9.762733
| 9.820715
| 9.129469
| 10.115412
| 9.927416
| 9.839935
| 9.653284
| 9.360318
| 10.785121
| 9.150683
| 8.618848
| 8.65326
| 8.384704
| 8.938527
| 8.420489
| 8.381018
| 8.559464
| 8.34903
| 9.075856
| 8.440463
|
1501.01727
|
Hong Lu
|
Zhong-Ying Fan, H. Lu
|
Charged Black Holes in Colored Lifshitz Spacetimes
|
Latex, 13 pages, minor corrections and references added
| null |
10.1016/j.physletb.2015.02.052
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider Einstein gravities coupled to a cosmological constant and $SU(2)$
Yang-Mills fields in four and five dimensions. We find that the theories admit
colored Lifshitz solutions with dynamic exponents $z>1$. We study the wave
equations of the $SU(2)$ scalar triplet in the bulk, and find that the vacuum
color modifies the scaling dimensions of the dual operators. We also introduce
a Maxwell field and construct exact solutions of electrically-charged black
holes that asymptote to the $D=4$, $z=3$ and $D=5$, $z=4$ colored Lifshitz
spacetimes. We derive the thermodynamical first law for general colored and
charged Lifshitz black holes.
|
[
{
"created": "Thu, 8 Jan 2015 04:32:20 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Jan 2015 00:27:04 GMT",
"version": "v2"
}
] |
2015-06-23
|
[
[
"Fan",
"Zhong-Ying",
""
],
[
"Lu",
"H.",
""
]
] |
We consider Einstein gravities coupled to a cosmological constant and $SU(2)$ Yang-Mills fields in four and five dimensions. We find that the theories admit colored Lifshitz solutions with dynamic exponents $z>1$. We study the wave equations of the $SU(2)$ scalar triplet in the bulk, and find that the vacuum color modifies the scaling dimensions of the dual operators. We also introduce a Maxwell field and construct exact solutions of electrically-charged black holes that asymptote to the $D=4$, $z=3$ and $D=5$, $z=4$ colored Lifshitz spacetimes. We derive the thermodynamical first law for general colored and charged Lifshitz black holes.
| 7.775392
| 6.1724
| 8.22806
| 6.471043
| 6.989881
| 6.799195
| 6.439265
| 6.459188
| 7.138441
| 8.103412
| 6.573255
| 6.946065
| 7.778939
| 7.169534
| 7.065404
| 7.263816
| 6.98862
| 7.430928
| 6.954657
| 7.58267
| 6.96124
|
1510.08598
|
Hironori Mori
|
Hironori Mori, Takeshi Morita, and Akinori Tanaka
|
Single-flavor Abelian mirror symmetry on $\mathbb{RP}^{2} \times
\mathbb{S}^{1}$
|
6 pages, contribution to proceedings of IX International Symposium on
Quantum Theory and Symmetries
|
Phys. Atom. Nucl. 80 (2017) no.3 586-589
|
10.1134/S1063778817030218
|
OU-HET 876, RIKEN-STAMP-20
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The supercoonformal index on $\mathbb{RP}^{2} \times \mathbb{S}^{1}$ can be
derived exactly by the localization technique and applied to the direct proof
of Abelian mirror symmetry. We find two sets of parity conditions compatible
with the unorientable property of $\mathbb{RP}^{2}$ and then rigorously show
two kinds of Abelian mirror symmetry via the index on $\mathbb{RP}^{2} \times
\mathbb{S}^{1}$.
|
[
{
"created": "Thu, 29 Oct 2015 08:29:21 GMT",
"version": "v1"
}
] |
2017-09-18
|
[
[
"Mori",
"Hironori",
""
],
[
"Morita",
"Takeshi",
""
],
[
"Tanaka",
"Akinori",
""
]
] |
The supercoonformal index on $\mathbb{RP}^{2} \times \mathbb{S}^{1}$ can be derived exactly by the localization technique and applied to the direct proof of Abelian mirror symmetry. We find two sets of parity conditions compatible with the unorientable property of $\mathbb{RP}^{2}$ and then rigorously show two kinds of Abelian mirror symmetry via the index on $\mathbb{RP}^{2} \times \mathbb{S}^{1}$.
| 8.527316
| 7.82628
| 9.022297
| 7.563044
| 7.647903
| 7.264466
| 7.696191
| 7.391692
| 7.243768
| 10.34728
| 7.334434
| 7.617614
| 8.534426
| 7.667661
| 7.5515
| 7.812521
| 7.716902
| 7.558141
| 7.622387
| 8.240234
| 7.804667
|
hep-th/9406081
| null |
Reinhard Oehme and Wentao Xu
|
Asymptotic Limits and Sum Rules for Gauge Field Propagators
|
Latex, EFI 93-71
|
Phys.Lett. B333 (1994) 172-177
|
10.1016/0370-2693(94)91025-1
| null |
hep-th
| null |
For gauge field propagators, the asymptotic behavior is obtained in all
directions of the complex $k^2$-plane, and for general, linear, covariant
gauges. Asymptotically free theories are considered. Except for coefficients,
the functional form of the leading asymptotic terms is gauge-independent.
Exponents are determined exactly by one-loop expressions. Sum rules are
derived, which generalize the superconvergence relations obtained in the Landau
gauge. (To appear in Physics Letters B)
|
[
{
"created": "Tue, 14 Jun 1994 13:36:42 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Oehme",
"Reinhard",
""
],
[
"Xu",
"Wentao",
""
]
] |
For gauge field propagators, the asymptotic behavior is obtained in all directions of the complex $k^2$-plane, and for general, linear, covariant gauges. Asymptotically free theories are considered. Except for coefficients, the functional form of the leading asymptotic terms is gauge-independent. Exponents are determined exactly by one-loop expressions. Sum rules are derived, which generalize the superconvergence relations obtained in the Landau gauge. (To appear in Physics Letters B)
| 11.903049
| 10.049332
| 10.945674
| 9.861936
| 10.505548
| 10.048208
| 10.7542
| 9.55495
| 9.529794
| 10.624569
| 10.6931
| 10.498366
| 10.266807
| 9.981756
| 10.299714
| 10.750534
| 9.900147
| 10.43067
| 10.302661
| 10.31115
| 10.524307
|
hep-th/9308011
|
Avinash Dhar
|
Avinash Dhar
|
Two-Dimensional Black Hole and Nonperturbative String Theory
|
28p, TIFR-TH-93/34
| null |
10.1142/9789814447072_0008
| null |
hep-th
| null |
We discuss the interpertation of the $c=1$ matrix model as two-dimensional
string theory in a dilaton-black hole background. The nonperturbative
formulation of $c=1$ matrix model in terms of an integrable model of
nonrelativistic fermions enables us to study the quantum fate of the classical
black hole singularity. We find that the classical singularity is wiped out by
quantum corrections when summed to all orders.
|
[
{
"created": "Wed, 4 Aug 1993 12:57:23 GMT",
"version": "v1"
}
] |
2016-11-03
|
[
[
"Dhar",
"Avinash",
""
]
] |
We discuss the interpertation of the $c=1$ matrix model as two-dimensional string theory in a dilaton-black hole background. The nonperturbative formulation of $c=1$ matrix model in terms of an integrable model of nonrelativistic fermions enables us to study the quantum fate of the classical black hole singularity. We find that the classical singularity is wiped out by quantum corrections when summed to all orders.
| 7.785927
| 6.228774
| 7.373233
| 6.712497
| 6.784178
| 7.032402
| 6.560099
| 6.291134
| 6.760516
| 8.433293
| 6.952259
| 6.700586
| 7.633792
| 7.189111
| 7.052377
| 7.016695
| 6.79948
| 7.089915
| 6.904906
| 7.379912
| 6.625658
|
1401.5983
|
Lorenzo G. Vitale Mr.
|
Florent Baume, Boaz Keren-Zur, Riccardo Rattazzi and Lorenzo Vitale
|
The local Callan-Symanzik equation: structure and applications
|
v2: Modified discussion of the amplitude; v3: typos fixed
| null |
10.1007/JHEP08(2014)152
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The local Callan-Symanzik equation describes the response of a quantum field
theory to local scale transformations in the presence of background sources.
The consistency conditions associated with this anomalous equation imply
non-trivial relations among the $\beta$-function, the anomalous dimensions of
composite operators and the short distance singularities of correlators. In
this paper we discuss various aspects of the local Callan-Symanzik equation and
present new results regarding the structure of its anomaly. We then use the
equation to systematically write the n-point correlators involving the trace of
the energy-momentum tensor. We use the latter result to give a fully detailed
proof that the UV and IR asymptotics in a neighbourhood of a 4D CFT must also
correspond to CFTs. We also clarify the relation between the matrix entering
the gradient flow formula for the $\beta$-function and a manifestly positive
metric in coupling space associated with matrix elements of the trace of the
energy momentum tensor.
|
[
{
"created": "Thu, 23 Jan 2014 14:26:38 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Dec 2014 14:53:46 GMT",
"version": "v2"
},
{
"created": "Thu, 29 Oct 2015 16:09:35 GMT",
"version": "v3"
}
] |
2015-10-30
|
[
[
"Baume",
"Florent",
""
],
[
"Keren-Zur",
"Boaz",
""
],
[
"Rattazzi",
"Riccardo",
""
],
[
"Vitale",
"Lorenzo",
""
]
] |
The local Callan-Symanzik equation describes the response of a quantum field theory to local scale transformations in the presence of background sources. The consistency conditions associated with this anomalous equation imply non-trivial relations among the $\beta$-function, the anomalous dimensions of composite operators and the short distance singularities of correlators. In this paper we discuss various aspects of the local Callan-Symanzik equation and present new results regarding the structure of its anomaly. We then use the equation to systematically write the n-point correlators involving the trace of the energy-momentum tensor. We use the latter result to give a fully detailed proof that the UV and IR asymptotics in a neighbourhood of a 4D CFT must also correspond to CFTs. We also clarify the relation between the matrix entering the gradient flow formula for the $\beta$-function and a manifestly positive metric in coupling space associated with matrix elements of the trace of the energy momentum tensor.
| 9.431416
| 8.314074
| 9.899327
| 8.950926
| 8.950497
| 9.235177
| 9.440617
| 8.475186
| 8.112961
| 9.579169
| 8.998599
| 8.750689
| 8.970121
| 8.754912
| 8.605884
| 8.78753
| 8.533718
| 8.696414
| 8.746259
| 8.784277
| 8.815145
|
hep-th/9604029
|
Sayan Kar
|
J. S. Prakash
|
Weyl's Character Formula for $SU(3)$ - A Generating Function Approach
|
RevTex 3.0, 30 pages, no figures
| null | null |
IP--BBSR--96/30
|
hep-th math.QA q-alg
| null |
Using a generating function for the Wigner's $D$-matrix elements of $SU(3)$
Weyl's character formula for $SU(3)$ is derived using Schwinger's technique.
|
[
{
"created": "Fri, 5 Apr 1996 15:43:12 GMT",
"version": "v1"
}
] |
2008-02-03
|
[
[
"Prakash",
"J. S.",
""
]
] |
Using a generating function for the Wigner's $D$-matrix elements of $SU(3)$ Weyl's character formula for $SU(3)$ is derived using Schwinger's technique.
| 13.329815
| 9.92674
| 10.74914
| 9.229364
| 8.074183
| 11.860196
| 9.151964
| 9.153733
| 11.361131
| 18.227383
| 9.348534
| 9.552957
| 11.503448
| 8.9251
| 8.782248
| 9.201963
| 9.13691
| 9.543396
| 9.156065
| 11.969386
| 8.800361
|
hep-th/0210020
|
Dr. Valeri Dvoeglazov
|
Valeri V. Dvoeglazov (Universidad de Zacatecas)
|
Theory of Antisymmetric Tensor Fields
|
19 pp., RevTeX file, no figures, accepted to Turk. Phys. J
|
Turk.J.Phys.27:35-50,2003
| null | null |
hep-th
| null |
It has long been claimed that the antisymmetric tensor field of the second
rank is pure longitudinal after quantization. In my opinion, such a situation
is quite unacceptable. I repeat the well-known procedure of the derivation of
the set of Proca equations. It is shown that it can be written in various
forms. Furthermore, on the basis of the Lagrangian formalism I calculate
dynamical invariants (including the Pauli-Lubanski vector of relativistic spin
for this field). Even at the classical level the Pauli-Lubanski vector can be
equal to zero after applications of well-known constraints. The importance of
the normalization is pointed out for the problem of the description of
quantized fields of maximal spin 1. The correct quantization procedure permits
us to propose a solution of this puzzle in the modern field theory. Finally,
the discussion of the connection of the Ogievetskii-Polubarinov-Kalb-Ramond
field and the electrodynamic gauge is presented.
|
[
{
"created": "Thu, 3 Oct 2002 01:03:01 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Dvoeglazov",
"Valeri V.",
"",
"Universidad de Zacatecas"
]
] |
It has long been claimed that the antisymmetric tensor field of the second rank is pure longitudinal after quantization. In my opinion, such a situation is quite unacceptable. I repeat the well-known procedure of the derivation of the set of Proca equations. It is shown that it can be written in various forms. Furthermore, on the basis of the Lagrangian formalism I calculate dynamical invariants (including the Pauli-Lubanski vector of relativistic spin for this field). Even at the classical level the Pauli-Lubanski vector can be equal to zero after applications of well-known constraints. The importance of the normalization is pointed out for the problem of the description of quantized fields of maximal spin 1. The correct quantization procedure permits us to propose a solution of this puzzle in the modern field theory. Finally, the discussion of the connection of the Ogievetskii-Polubarinov-Kalb-Ramond field and the electrodynamic gauge is presented.
| 12.015695
| 12.941138
| 13.391823
| 11.870394
| 13.213024
| 12.761329
| 12.587337
| 12.362528
| 12.21298
| 13.582823
| 11.94264
| 12.314419
| 12.232526
| 12.009827
| 12.041933
| 12.610848
| 12.26466
| 12.338496
| 12.085423
| 12.338015
| 12.122087
|
0808.0280
|
Alikram Aliev
|
Alikram N. Aliev and \"Ozg\"ur Delice
|
Superradiant Instability of Five-Dimensional Rotating Charged AdS Black
Holes
|
24 pages, REVTeX; Minor changes, matching published version
|
Phys.Rev.D79:024013,2009
|
10.1103/PhysRevD.79.024013
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the instability of small AdS black holes with two independent
rotation parameters in minimal five-dimensional gauged supergravity to massless
scalar perturbations. We analytically solve the Klein-Gordon equation for
low-frequency perturbations in two regions of the spacetime of these black
holes: namely, in the region close to the horizon and in the far-region. By
matching the solutions in an intermediate region, we calculate the frequency
spectrum of quasinormal modes. We show that in the regime of superradiance only
the modes of even orbital quantum number undergo negative damping, resulting in
exponential growth of the amplitude. That is, the black holes become unstable
to these modes. Meanwhile, the modes of odd orbital quantum number do not
undergo any damping, oscillating with frequency-shifts. This is in contrast
with the case of four-dimensional small Kerr-AdS black holes which exhibit the
instability to all modes of scalar perturbations in the regime of
superradiance.
|
[
{
"created": "Sun, 3 Aug 2008 12:47:58 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Aug 2008 09:35:41 GMT",
"version": "v2"
},
{
"created": "Mon, 16 Feb 2009 18:25:24 GMT",
"version": "v3"
}
] |
2009-03-12
|
[
[
"Aliev",
"Alikram N.",
""
],
[
"Delice",
"Özgür",
""
]
] |
We study the instability of small AdS black holes with two independent rotation parameters in minimal five-dimensional gauged supergravity to massless scalar perturbations. We analytically solve the Klein-Gordon equation for low-frequency perturbations in two regions of the spacetime of these black holes: namely, in the region close to the horizon and in the far-region. By matching the solutions in an intermediate region, we calculate the frequency spectrum of quasinormal modes. We show that in the regime of superradiance only the modes of even orbital quantum number undergo negative damping, resulting in exponential growth of the amplitude. That is, the black holes become unstable to these modes. Meanwhile, the modes of odd orbital quantum number do not undergo any damping, oscillating with frequency-shifts. This is in contrast with the case of four-dimensional small Kerr-AdS black holes which exhibit the instability to all modes of scalar perturbations in the regime of superradiance.
| 6.34055
| 6.57902
| 6.923504
| 6.060133
| 6.712632
| 6.411868
| 6.537767
| 6.595639
| 6.429185
| 7.36736
| 6.413578
| 6.472338
| 6.370784
| 6.407099
| 6.445843
| 6.445343
| 6.317614
| 6.25361
| 6.264154
| 6.493859
| 6.272911
|
hep-th/0012042
|
Per Berglund
|
P. Berglund, T. Hubsch and D. Minic
|
Probing Naked Singularities in Non-supersymmetric String Vacua
|
46 pages, Latex, 7 figures; the brane probe analysis (sections 3 and
4) has been revised, references added and typos corrected
|
JHEP 0102:010,2001
|
10.1088/1126-6708/2001/02/010
|
CITUSC/00-061
|
hep-th
| null |
We present a detailed analysis of non-supersymmetric spacetime varying string
vacua which can lead to an exponential hierarchy between the electroweak and
the gravitational scales. In particular, we identify a limit in which these
vacua can be interpreted as supersymmetric vacua of F-theory. Furthermore, we
study the properties of these solutions as seen by $D7$-brane probes and
establish a non-supersymmetric analogue of the enhancon mechanism.
|
[
{
"created": "Tue, 5 Dec 2000 23:40:40 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Dec 2000 22:35:56 GMT",
"version": "v2"
}
] |
2010-02-03
|
[
[
"Berglund",
"P.",
""
],
[
"Hubsch",
"T.",
""
],
[
"Minic",
"D.",
""
]
] |
We present a detailed analysis of non-supersymmetric spacetime varying string vacua which can lead to an exponential hierarchy between the electroweak and the gravitational scales. In particular, we identify a limit in which these vacua can be interpreted as supersymmetric vacua of F-theory. Furthermore, we study the properties of these solutions as seen by $D7$-brane probes and establish a non-supersymmetric analogue of the enhancon mechanism.
| 8.547902
| 6.570199
| 8.398657
| 6.877085
| 7.026939
| 6.192082
| 6.719443
| 7.038018
| 6.628074
| 8.943896
| 6.998146
| 7.102201
| 7.937605
| 7.201635
| 7.178342
| 7.121916
| 7.124504
| 7.174221
| 7.111915
| 8.238198
| 7.152714
|
1806.07739
|
Hyun-Sik Jeong
|
Hyun-Sik Jeong, Keun-Young Kim, Chao Niu
|
Linear-$T$ resistivity at high temperature
|
21 pages, 6 figures, v2: references added
|
J. High Energ. Phys. 2018, 191 (2018)
|
10.1007/JHEP10(2018)191
| null |
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The linear-$T$ resistivity is one of the characteristic and universal
properties of strange metals. There have been many progress in understanding it
from holographic perspective (gauge/gravity duality). In most holographic
models, the linear-$T$ resistivity is explained by the property of the infrared
geometry and valid at low temperature limit. On the other hand, experimentally,
the linear-$T$ resistivity is observed in a large range of temperatures, up to
room temperature. By using holographic models related to the Gubser-Rocha
model, we investigate how much the linear-$T$ resistivity is robust at higher
temperature above the superconducting phase transition temperature. We find
that strong momentum relaxation plays an important role to have a robust
linear-$T$ resistivity up to high temperature.
|
[
{
"created": "Wed, 20 Jun 2018 13:59:36 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Jun 2018 11:21:53 GMT",
"version": "v2"
}
] |
2024-07-01
|
[
[
"Jeong",
"Hyun-Sik",
""
],
[
"Kim",
"Keun-Young",
""
],
[
"Niu",
"Chao",
""
]
] |
The linear-$T$ resistivity is one of the characteristic and universal properties of strange metals. There have been many progress in understanding it from holographic perspective (gauge/gravity duality). In most holographic models, the linear-$T$ resistivity is explained by the property of the infrared geometry and valid at low temperature limit. On the other hand, experimentally, the linear-$T$ resistivity is observed in a large range of temperatures, up to room temperature. By using holographic models related to the Gubser-Rocha model, we investigate how much the linear-$T$ resistivity is robust at higher temperature above the superconducting phase transition temperature. We find that strong momentum relaxation plays an important role to have a robust linear-$T$ resistivity up to high temperature.
| 6.273776
| 5.006036
| 7.202475
| 5.357085
| 5.022276
| 5.248838
| 5.263829
| 5.368925
| 5.161649
| 6.944378
| 5.203982
| 5.760371
| 6.416377
| 5.774951
| 5.716331
| 5.846354
| 5.924878
| 5.655912
| 5.928756
| 6.537652
| 5.865295
|
hep-th/0401141
|
Richard Corrado
|
Richard Corrado, Nick Halmagyi
|
N=1 Field Theories and Fluxes in IIB String Theory
|
37 pages, LaTeX, one figure; Corrected dimension of fixed manifolds.
Clarifications and references added. Main results unchanged
|
Phys.Rev.D71:046001,2005
|
10.1103/PhysRevD.71.046001
|
ILL-(TH)-03-11, USC-04-01
|
hep-th
| null |
Deformation of N=2 quiver gauge theories by adjoint masses leads to fixed
manifolds of N=1 superconformal field theories. We elaborate on the role of the
complex three-form flux in the IIB duals to these fixed point theories,
primarily using field theory techniques. We study the moduli space at a fixed
point and find that it is either the two (complex) dimensional ALE space or
three-dimensional generalized conifold, depending on the type of three-form
flux that is present. We describe the exactly marginal operators that
parameterize the fixed manifolds and find the operators which preserve the
dimension of the moduli space. We also study deformations by arbitrary
superpotentials W(\Phi_i) for the adjoints. We invoke the a-theorem to show
that there are no dangerously irrelevant operators like Tr\Phi_i^{k+1}, k>2 in
the N=2 quiver gauge theories. The moduli space of the IR fixed point theory
generally contains orbifold singularities if W(\Phi_i) does not give a mass to
the adjoints. Finally we examine some nonconformal N=1 quiver theories. We find
evidence that the moduli space at the endpoint of a Seiberg duality cascade is
always a three-dimensional generalized conifold. In general, the low-energy
theory receives quantum corrections. In several non-cascading theories we find
that the moduli space is a generalized conifold realized as a monodromic
fibration.
|
[
{
"created": "Wed, 21 Jan 2004 05:52:19 GMT",
"version": "v1"
},
{
"created": "Sat, 28 Feb 2004 20:47:28 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Corrado",
"Richard",
""
],
[
"Halmagyi",
"Nick",
""
]
] |
Deformation of N=2 quiver gauge theories by adjoint masses leads to fixed manifolds of N=1 superconformal field theories. We elaborate on the role of the complex three-form flux in the IIB duals to these fixed point theories, primarily using field theory techniques. We study the moduli space at a fixed point and find that it is either the two (complex) dimensional ALE space or three-dimensional generalized conifold, depending on the type of three-form flux that is present. We describe the exactly marginal operators that parameterize the fixed manifolds and find the operators which preserve the dimension of the moduli space. We also study deformations by arbitrary superpotentials W(\Phi_i) for the adjoints. We invoke the a-theorem to show that there are no dangerously irrelevant operators like Tr\Phi_i^{k+1}, k>2 in the N=2 quiver gauge theories. The moduli space of the IR fixed point theory generally contains orbifold singularities if W(\Phi_i) does not give a mass to the adjoints. Finally we examine some nonconformal N=1 quiver theories. We find evidence that the moduli space at the endpoint of a Seiberg duality cascade is always a three-dimensional generalized conifold. In general, the low-energy theory receives quantum corrections. In several non-cascading theories we find that the moduli space is a generalized conifold realized as a monodromic fibration.
| 9.09206
| 9.630533
| 9.8597
| 8.472433
| 8.802287
| 9.27033
| 9.280466
| 8.902664
| 8.550031
| 11.54626
| 8.58099
| 8.667034
| 8.86278
| 8.322852
| 8.482327
| 8.803803
| 8.517049
| 8.628556
| 8.720238
| 9.161324
| 8.698071
|
2308.15743
|
Wei Fan
|
Wei Fan
|
Nontrivial zeros of the Riemann zeta function on the celestial circle
| null | null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this short letter, we reformulate the Riemann zeta function using the
holographic framework of the celestial conformal field theory. For spacetime
dimension larger than our Minkowski spacetime $M^4$, the Riemann zeta function
is connected with the sum of the conformal primary wavefunctions evaluated over
a chain of points on the holographic boundary. Using analytic continuation, it
follows that the nontrivial zeros of the Riemann zeta function is connected
with the scaling dimension of conformal operators on the celestial circle. We
discuss possible considerations with the spectrum of the celestial conformal
field theory, number theory and topology.
|
[
{
"created": "Wed, 30 Aug 2023 03:49:17 GMT",
"version": "v1"
}
] |
2023-08-31
|
[
[
"Fan",
"Wei",
""
]
] |
In this short letter, we reformulate the Riemann zeta function using the holographic framework of the celestial conformal field theory. For spacetime dimension larger than our Minkowski spacetime $M^4$, the Riemann zeta function is connected with the sum of the conformal primary wavefunctions evaluated over a chain of points on the holographic boundary. Using analytic continuation, it follows that the nontrivial zeros of the Riemann zeta function is connected with the scaling dimension of conformal operators on the celestial circle. We discuss possible considerations with the spectrum of the celestial conformal field theory, number theory and topology.
| 11.649818
| 10.498344
| 11.438589
| 9.859429
| 10.516198
| 10.119127
| 9.231226
| 9.435909
| 9.828471
| 12.236259
| 9.992752
| 9.923831
| 10.006909
| 10.058888
| 10.301908
| 10.186087
| 9.950435
| 10.087843
| 9.948359
| 10.5131
| 9.90987
|
0803.3041
|
Konstantinos Dimopoulos
|
Konstantinos Dimopoulos and Mindaugas Karciauskas
|
Non-minimally coupled vector curvaton
|
4 pages, 1 figure, RevTex. Corrected mistakes and typos. Analytic
results unmodified
|
JHEP0807:119,2008
|
10.1088/1126-6708/2008/07/119
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is shown that a massive Abelian vector boson field can generate the
curvature perturbation in the Universe, when coupled non-minimally to gravity,
through an RA^2 coupling. The vector boson acts as a curvaton field imposing
the curvature perturbation after the end of inflation, without generating a
large-scale anisotropy. The parameter space of the model is fully explored,
obtaining the relevant bounds on the inflation scale and the decay constant of
the vector curvaton.
|
[
{
"created": "Thu, 20 Mar 2008 17:56:58 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Apr 2008 14:30:05 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Dimopoulos",
"Konstantinos",
""
],
[
"Karciauskas",
"Mindaugas",
""
]
] |
It is shown that a massive Abelian vector boson field can generate the curvature perturbation in the Universe, when coupled non-minimally to gravity, through an RA^2 coupling. The vector boson acts as a curvaton field imposing the curvature perturbation after the end of inflation, without generating a large-scale anisotropy. The parameter space of the model is fully explored, obtaining the relevant bounds on the inflation scale and the decay constant of the vector curvaton.
| 10.1901
| 10.519019
| 8.904991
| 9.379941
| 10.488219
| 10.278622
| 11.762823
| 9.725566
| 9.351687
| 9.905207
| 10.021617
| 9.739981
| 9.17544
| 9.31304
| 9.273956
| 9.418605
| 9.511982
| 9.501379
| 9.236655
| 8.990594
| 9.291551
|
1212.5224
|
Karol Kampf
|
Karol Kampf, Jiri Novotny and Jaroslav Trnka
|
Recursion Relations for Tree-level Amplitudes in the SU(N) Non-linear
Sigma Model
|
4 pages, 2 figures
| null |
10.1103/PhysRevD.87.081701
|
PUPT-2436
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is well-known that the standard BCFW construction cannot be used for
on-shell amplitudes in effective field theories due to bad behavior for large
shifts. We show how to solve this problem in the case of the SU(N) non-linear
sigma model, i.e. non-renormalizable model with infinite number of interaction
vertices, using scaling properties of the semi-on-shell currents, and we
present new on-shell recursion relations for all on-shell tree-level amplitudes
in this theory.
|
[
{
"created": "Thu, 20 Dec 2012 20:24:06 GMT",
"version": "v1"
}
] |
2013-04-10
|
[
[
"Kampf",
"Karol",
""
],
[
"Novotny",
"Jiri",
""
],
[
"Trnka",
"Jaroslav",
""
]
] |
It is well-known that the standard BCFW construction cannot be used for on-shell amplitudes in effective field theories due to bad behavior for large shifts. We show how to solve this problem in the case of the SU(N) non-linear sigma model, i.e. non-renormalizable model with infinite number of interaction vertices, using scaling properties of the semi-on-shell currents, and we present new on-shell recursion relations for all on-shell tree-level amplitudes in this theory.
| 9.522065
| 7.657968
| 9.488892
| 7.866052
| 7.050044
| 7.439051
| 7.951828
| 6.970451
| 7.679533
| 8.717062
| 7.607548
| 7.873872
| 8.241791
| 8.163409
| 8.142123
| 7.799652
| 8.033042
| 8.095138
| 8.127532
| 8.725123
| 8.005756
|
hep-th/0203240
|
Alireza Chenaghlou
|
A. Chenaghlou, H. Fakhri
|
On the generalized unitary parasupersymmetry algebra of Beckers-Debergh
|
17 pages, LaTex2e, A new section added, To appear in IJMPA
|
Int.J.Mod.Phys.A18:939-956,2003
|
10.1142/S0217751X0301396X
| null |
hep-th
| null |
An appropriate generalization of the unitary parasupersymmetry algebra of
Beckers-Debergh to arbitrary order is presented in this paper. A special
representation for realizing of the even arbitrary order unitary
parasupersymmetry algebra of Beckers-Debergh is analyzed by one dimensional
shape invariance solvable models, 2D and 3D quantum solvable models obtained
from the shape invariance theory as well. In particular in the special
representation, it is shown that the isospectrum Hamiltonians consist of the
two partner Hamiltonians of the shape invariance theory.
|
[
{
"created": "Tue, 26 Mar 2002 11:15:37 GMT",
"version": "v1"
},
{
"created": "Sun, 27 Oct 2002 09:49:52 GMT",
"version": "v2"
}
] |
2011-07-28
|
[
[
"Chenaghlou",
"A.",
""
],
[
"Fakhri",
"H.",
""
]
] |
An appropriate generalization of the unitary parasupersymmetry algebra of Beckers-Debergh to arbitrary order is presented in this paper. A special representation for realizing of the even arbitrary order unitary parasupersymmetry algebra of Beckers-Debergh is analyzed by one dimensional shape invariance solvable models, 2D and 3D quantum solvable models obtained from the shape invariance theory as well. In particular in the special representation, it is shown that the isospectrum Hamiltonians consist of the two partner Hamiltonians of the shape invariance theory.
| 11.778055
| 14.391784
| 15.375293
| 11.849914
| 13.872492
| 14.143371
| 13.817301
| 12.893439
| 11.722214
| 15.695646
| 11.807757
| 11.387677
| 12.018064
| 11.884673
| 11.425599
| 12.33459
| 11.609145
| 11.684901
| 11.751013
| 11.188287
| 11.361066
|
1211.2618
|
Fabien Vignes-Tourneret
|
Dine Ousmane Samary and Fabien Vignes-Tourneret
|
Just Renormalizable TGFT's on U(1)^d with Gauge Invariance
|
33 pages, 22 figures. One added paragraph on the different notions of
connectedness, preciser formulation of the proof of the power counting
theorem, more general statements about traciality of tensor graphs
|
Communications in Mathematical Physics (2014)
|
10.1007/s00220-014-1930-3
|
1432-0916
|
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the polynomial Abelian or U(1)^d Tensorial Group Field Theories
equipped with a gauge invariance condition in any dimension d. From our
analysis, we prove the just renormalizability at all orders of perturbation of
the phi^4_6 and phi^6_5 random tensor models. We also deduce that the phi^4_5
tensor model is super-renormalizable.
|
[
{
"created": "Mon, 12 Nov 2012 13:57:17 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Jan 2013 08:51:44 GMT",
"version": "v2"
}
] |
2014-03-11
|
[
[
"Samary",
"Dine Ousmane",
""
],
[
"Vignes-Tourneret",
"Fabien",
""
]
] |
We study the polynomial Abelian or U(1)^d Tensorial Group Field Theories equipped with a gauge invariance condition in any dimension d. From our analysis, we prove the just renormalizability at all orders of perturbation of the phi^4_6 and phi^6_5 random tensor models. We also deduce that the phi^4_5 tensor model is super-renormalizable.
| 12.224732
| 9.272895
| 14.34428
| 9.922439
| 10.741241
| 10.36199
| 10.311703
| 10.503191
| 9.532587
| 15.582104
| 9.993755
| 10.253111
| 11.618912
| 10.554808
| 11.069144
| 10.181276
| 10.107389
| 10.599969
| 10.826627
| 12.294822
| 10.665263
|
hep-th/9606075
| null |
Anna Okopi\'nska
|
The Effective Action for Local Composite Operators $\Phi^2(x)$ and
$\Phi^4(x)$
|
15 pages, plain Latex, 1 compressed and uuencoded Postscript figure
|
Int.J.Mod.Phys. A12 (1997) 585-606
|
10.1142/S0217751X97000554
| null |
hep-th
| null |
The generating functionals for the local composite operators, $\Phi^2(x)$ and
$\Phi^4(x)$, are used to study excitations in the scalar quantum field theory
with $\lambda \Phi^4$ interaction. The effective action for the composite
operators is obtained as a series in the Planck constant $\hbar$, and the two-
and four-particle propagators are derived. The numerical results are studied in
the space-time of one dimension, when the theory is equivalent to the quantum
mechanics of an anharmonic oscillator. The effective potential and the poles of
the composite propagators are obtained as series in $\hbar$, with effective
mass and coupling determined by non-perturbative gap equations. This provides a
systematic approximation method for the ground state energy, and for the second
and fourth excitations. The results show quick convergence to the exact values,
better than that obtained without including the operator $\Phi^4$.
|
[
{
"created": "Thu, 13 Jun 1996 15:09:36 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Okopińska",
"Anna",
""
]
] |
The generating functionals for the local composite operators, $\Phi^2(x)$ and $\Phi^4(x)$, are used to study excitations in the scalar quantum field theory with $\lambda \Phi^4$ interaction. The effective action for the composite operators is obtained as a series in the Planck constant $\hbar$, and the two- and four-particle propagators are derived. The numerical results are studied in the space-time of one dimension, when the theory is equivalent to the quantum mechanics of an anharmonic oscillator. The effective potential and the poles of the composite propagators are obtained as series in $\hbar$, with effective mass and coupling determined by non-perturbative gap equations. This provides a systematic approximation method for the ground state energy, and for the second and fourth excitations. The results show quick convergence to the exact values, better than that obtained without including the operator $\Phi^4$.
| 7.73099
| 6.52058
| 7.05212
| 6.4619
| 6.578835
| 6.407913
| 6.607124
| 6.798441
| 6.323296
| 7.251143
| 6.730531
| 6.738486
| 6.862854
| 6.833146
| 6.788308
| 6.779556
| 6.80451
| 6.810781
| 6.754092
| 7.023937
| 6.822122
|
hep-th/9911229
|
Nuno Miguel Marques de Sousa
|
L.R. Huiszoon, A.N. Schellekens, N. Sousa
|
Open Descendants of Non-Diagonal Invariants
|
21 pages, LaTeX
|
Nucl.Phys. B575 (2000) 401-415
|
10.1016/S0550-3213(00)00090-0
| null |
hep-th
| null |
The open descendants of simple current automorphism invariants are
constructed. We consider the case where the order of the current is two or odd.
We prove that our solutions satisfy the completeness conditions, positivity and
integrality of the open and closed sectors and the Klein bottle constraint
(apart from an interesting exception). In order to do this, we derive some new
relations between the tensor Y and the fixed point conformal field theory. Some
non-standard Klein bottle projections are considered as well.
|
[
{
"created": "Mon, 29 Nov 1999 13:29:45 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Huiszoon",
"L. R.",
""
],
[
"Schellekens",
"A. N.",
""
],
[
"Sousa",
"N.",
""
]
] |
The open descendants of simple current automorphism invariants are constructed. We consider the case where the order of the current is two or odd. We prove that our solutions satisfy the completeness conditions, positivity and integrality of the open and closed sectors and the Klein bottle constraint (apart from an interesting exception). In order to do this, we derive some new relations between the tensor Y and the fixed point conformal field theory. Some non-standard Klein bottle projections are considered as well.
| 27.291773
| 16.604227
| 23.694714
| 18.483852
| 22.041157
| 19.886816
| 18.639584
| 19.821819
| 19.213348
| 28.741888
| 17.310049
| 19.538862
| 23.590939
| 21.141397
| 19.930386
| 20.127937
| 20.954704
| 20.10276
| 20.664389
| 24.726807
| 20.853073
|
2202.13741
|
Deyou Chen
|
Chengye Yu, Deyou Chen, Chuanhong Gao
|
Bound on Lyapunov exponent in Einstein-Maxwell-Dilaton-Axion black holes
|
17 pages
|
Chinese Physics C 46 (2022) 125106
|
10.1088/1674-1137/ac90af
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
In this paper, we investigate the influence of the angular momentum of a
charged particle around non-extremal and extremal
Einstein-Maxwell-Dilaton-Axion black holes on the Lyapunov exponent. The
angular momentum's ranges and spatial regions where the bound of the exponent
is violated are found for certain values of the rotation parameter and
dilatonic constant of the black holes. This violation always exists when the
rotation parameter is large enough and the rotation directions of the particle
is opposite to those of the black holes. The spatial regions outside the
extermal black hole for the violation is relatively large. In the near-horizon
regions of the extremal black holes, the violation depends on the rotation
directions of the black holes and particle, and does not depend on the value of
the angular momentum.
|
[
{
"created": "Mon, 28 Feb 2022 13:08:40 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Mar 2022 12:41:31 GMT",
"version": "v2"
},
{
"created": "Sun, 22 May 2022 02:31:15 GMT",
"version": "v3"
},
{
"created": "Sat, 3 Dec 2022 13:37:56 GMT",
"version": "v4"
}
] |
2022-12-06
|
[
[
"Yu",
"Chengye",
""
],
[
"Chen",
"Deyou",
""
],
[
"Gao",
"Chuanhong",
""
]
] |
In this paper, we investigate the influence of the angular momentum of a charged particle around non-extremal and extremal Einstein-Maxwell-Dilaton-Axion black holes on the Lyapunov exponent. The angular momentum's ranges and spatial regions where the bound of the exponent is violated are found for certain values of the rotation parameter and dilatonic constant of the black holes. This violation always exists when the rotation parameter is large enough and the rotation directions of the particle is opposite to those of the black holes. The spatial regions outside the extermal black hole for the violation is relatively large. In the near-horizon regions of the extremal black holes, the violation depends on the rotation directions of the black holes and particle, and does not depend on the value of the angular momentum.
| 7.298964
| 7.177228
| 6.649591
| 6.170895
| 7.184746
| 7.194214
| 7.231751
| 6.619778
| 6.640021
| 7.163805
| 6.756241
| 6.393118
| 6.679805
| 6.662369
| 6.384044
| 6.632805
| 6.500952
| 6.54609
| 6.839451
| 6.916456
| 6.544412
|
2002.08387
|
Henry Lin
|
Henry W. Lin
|
Bootstraps to Strings: Solving Random Matrix Models with Positivity
|
30 pages, 10 figures, 1 cartoon. See source for Mathematica notebook.
v2: bootstrapped more complicated model, new Appendices. v3: journal version,
v4: minor typos fixed
| null |
10.1007/JHEP06(2020)090
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A new approach to solving random matrix models directly in the large $N$
limit is developed. First, a set of numerical values for some low-pt
correlation functions is guessed. The large $N$ loop equations are then used to
generate values of higher-pt correlation functions based on this guess. Then
one tests whether these higher-pt functions are consistent with positivity
requirements, e.g., $\langle \text{tr }M^{2k} \rangle \ge 0$. If not, the
guessed values are systematically ruled out. In this way, one can constrain the
correlation functions of random matrices to a tiny subregion which contains
(and perhaps converges to) the true solution. This approach is tested on single
and multi-matrix models and handily reproduces known solutions. It also
produces strong results for multi-matrix models which are not believed to be
solvable. A tantalizing possibility is that this method could be used to search
for new critical points, or string worldsheet theories.
|
[
{
"created": "Wed, 19 Feb 2020 19:02:03 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Apr 2020 19:04:48 GMT",
"version": "v2"
},
{
"created": "Fri, 19 Jun 2020 13:06:47 GMT",
"version": "v3"
},
{
"created": "Thu, 16 Dec 2021 17:03:17 GMT",
"version": "v4"
}
] |
2021-12-17
|
[
[
"Lin",
"Henry W.",
""
]
] |
A new approach to solving random matrix models directly in the large $N$ limit is developed. First, a set of numerical values for some low-pt correlation functions is guessed. The large $N$ loop equations are then used to generate values of higher-pt correlation functions based on this guess. Then one tests whether these higher-pt functions are consistent with positivity requirements, e.g., $\langle \text{tr }M^{2k} \rangle \ge 0$. If not, the guessed values are systematically ruled out. In this way, one can constrain the correlation functions of random matrices to a tiny subregion which contains (and perhaps converges to) the true solution. This approach is tested on single and multi-matrix models and handily reproduces known solutions. It also produces strong results for multi-matrix models which are not believed to be solvable. A tantalizing possibility is that this method could be used to search for new critical points, or string worldsheet theories.
| 8.493007
| 9.504429
| 9.871858
| 8.288713
| 9.153125
| 9.726691
| 9.129478
| 8.971273
| 8.743323
| 10.53986
| 9.11178
| 8.617705
| 8.883357
| 8.705207
| 8.345335
| 8.65599
| 8.669537
| 8.15128
| 8.607819
| 8.760114
| 8.290757
|
hep-th/9807010
|
Mario Rocca
|
C. G. Bollini, M. C. Rocca
|
The Wheeler Propagator
|
20 pages latex. No figures
|
Int.J.Theor.Phys. 37 (1998) 2877-2893
| null | null |
hep-th
| null |
We study the half advanced and half retarded Wheeler Green function and its
relation to Feynman propagators. First for massless equation. Then, for
Klein-Gordon equations with arbitrary mass parameters; real, imaginary or
complex. In all cases the Wheeler propagator lacks an on-shell free
propagation. The Wheeler function has support inside the light-cone (whatever
the mass). The associated vacuum is symmetric with respect to annihilation and
creation operators.
We show with some examples that perturbative unitarity holds, whatever the
mass (real or complex). Some possible applications are discussed.
|
[
{
"created": "Wed, 1 Jul 1998 20:37:11 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Bollini",
"C. G.",
""
],
[
"Rocca",
"M. C.",
""
]
] |
We study the half advanced and half retarded Wheeler Green function and its relation to Feynman propagators. First for massless equation. Then, for Klein-Gordon equations with arbitrary mass parameters; real, imaginary or complex. In all cases the Wheeler propagator lacks an on-shell free propagation. The Wheeler function has support inside the light-cone (whatever the mass). The associated vacuum is symmetric with respect to annihilation and creation operators. We show with some examples that perturbative unitarity holds, whatever the mass (real or complex). Some possible applications are discussed.
| 18.148737
| 10.547335
| 17.904655
| 14.045656
| 10.835063
| 10.349542
| 10.452507
| 12.111012
| 12.457478
| 18.276686
| 13.785751
| 14.556709
| 16.309608
| 15.415474
| 14.493187
| 14.883834
| 14.472876
| 15.121771
| 15.158369
| 15.593956
| 15.302349
|
2302.08363
|
Tom\'as Reis
|
Marcos Marino, Ramon Miravitllas, Tomas Reis
|
On the structure of trans-series in quantum field theory
|
31 pages, 7 figures
| null | null | null |
hep-th hep-ph math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Many observables in quantum field theory can be expressed in terms of
trans-series, in which one adds to the perturbative series a typically infinite
sum of exponentially small corrections, due to instantons or to renormalons.
Even after Borel resummation of the series in the coupling constant, one has to
sum this infinite series of small exponential corrections. It has been argued
that this leads to a new divergence, which is sometimes called the divergence
of the OPE. We show that, in some interesting examples in quantum field theory,
the series of small exponential corrections is convergent, order by order in
the coupling constant. In particular, we give numerical evidence for this
convergence property in the case of the free energy of integrable
asymptotically free theories, which has been intensively studied recently in
the framework of resurgence. Our results indicate that, in these examples, the
Borel resummed trans-series leads to a well defined function, and there are no
further divergences.
|
[
{
"created": "Thu, 16 Feb 2023 15:29:15 GMT",
"version": "v1"
}
] |
2023-02-17
|
[
[
"Marino",
"Marcos",
""
],
[
"Miravitllas",
"Ramon",
""
],
[
"Reis",
"Tomas",
""
]
] |
Many observables in quantum field theory can be expressed in terms of trans-series, in which one adds to the perturbative series a typically infinite sum of exponentially small corrections, due to instantons or to renormalons. Even after Borel resummation of the series in the coupling constant, one has to sum this infinite series of small exponential corrections. It has been argued that this leads to a new divergence, which is sometimes called the divergence of the OPE. We show that, in some interesting examples in quantum field theory, the series of small exponential corrections is convergent, order by order in the coupling constant. In particular, we give numerical evidence for this convergence property in the case of the free energy of integrable asymptotically free theories, which has been intensively studied recently in the framework of resurgence. Our results indicate that, in these examples, the Borel resummed trans-series leads to a well defined function, and there are no further divergences.
| 6.737304
| 6.495793
| 6.503321
| 6.048322
| 6.582576
| 6.741812
| 6.793402
| 6.665473
| 6.151648
| 7.051766
| 6.19289
| 6.248929
| 6.35083
| 6.156549
| 6.285563
| 6.487109
| 6.461524
| 6.263954
| 6.075927
| 6.414254
| 6.164197
|
hep-th/9412047
|
Svozil Karl
|
K. Svozil
|
Quantum computation and complexity theory
|
51 pages, PostScript
| null | null | null |
hep-th quant-ph
| null |
The Hilbert space formalism of quantum mechanics is reviewed with emphasis on
applications to quantum computing. Standard interferomeric techniques are used
to construct a physical device capable of universal quantum computation. Some
consequences for recursion theory and complexity theory are discussed.
|
[
{
"created": "Tue, 6 Dec 1994 10:30:55 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Svozil",
"K.",
""
]
] |
The Hilbert space formalism of quantum mechanics is reviewed with emphasis on applications to quantum computing. Standard interferomeric techniques are used to construct a physical device capable of universal quantum computation. Some consequences for recursion theory and complexity theory are discussed.
| 15.650134
| 16.823469
| 15.846365
| 14.402755
| 15.558769
| 13.140852
| 17.115393
| 12.844507
| 15.422323
| 16.672947
| 14.316401
| 14.543945
| 15.115607
| 13.580439
| 14.033526
| 14.168616
| 13.797174
| 14.848175
| 14.145583
| 15.511648
| 13.934257
|
2110.11663
|
Tiyasa Kar
|
Tiyasa Kar
|
Emission Distribution for the quantas of Maxwell-Chern-Simon Gauge Field
coupled to External Current
| null | null |
10.1142/S0217751X2250021X
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
In this paper, we have investigated the nature of emission distribution of
the Maxwell Chern Simon (MCS) Theory in the 2+1 dimension. The distribution of
the topologically massive quanta seems to be Poissonian in nature just like the
Maxwell field theory in 3+1 dimension but with a condition, without which the
distribution takes an indeterminate form when we make the coupling term
approach 0.
|
[
{
"created": "Fri, 22 Oct 2021 08:41:16 GMT",
"version": "v1"
}
] |
2022-03-14
|
[
[
"Kar",
"Tiyasa",
""
]
] |
In this paper, we have investigated the nature of emission distribution of the Maxwell Chern Simon (MCS) Theory in the 2+1 dimension. The distribution of the topologically massive quanta seems to be Poissonian in nature just like the Maxwell field theory in 3+1 dimension but with a condition, without which the distribution takes an indeterminate form when we make the coupling term approach 0.
| 21.574282
| 15.472135
| 20.445839
| 17.721115
| 19.230406
| 17.82052
| 19.984995
| 18.760633
| 17.605511
| 21.055952
| 18.412657
| 17.063894
| 19.081659
| 17.613525
| 17.100504
| 17.162081
| 17.06185
| 17.086519
| 17.31028
| 18.906685
| 16.971041
|
hep-th/0011079
|
In Yong Park
|
M. Mihailescu, I.Y. Park, and T.A. Tran
|
D-branes as Solitons of an N=1, D=10 Non-commutative Gauge Theory
|
14 pages, no figure, references added, minor changes
|
Phys.Rev. D64 (2001) 046006
|
10.1103/PhysRevD.64.046006
| null |
hep-th
| null |
We consider a Dp brane within a D9 brane in the presence of a B-field whose
polarization is {\em transverse} to the Dp brane. To be definite, we take a
D3-D9 system. It is observed that the system has the same pattern of
supersymmetry breaking as that of a soliton of the six dimensional
non-commutative gauge theory that is obtained by dimensional reduction of an
{\cal N}=1, D=10 gauge theory. These results indicate that the soliton solution
is the low energy realization of a D3 brane in a D9 brane with a transverse
B-field, hence can be viewed as a generalization of the previous results in the
literature where similar observations were made for lower codimensional cases.
|
[
{
"created": "Thu, 9 Nov 2000 23:34:53 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Nov 2000 04:57:21 GMT",
"version": "v2"
},
{
"created": "Wed, 9 May 2001 16:05:06 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Mihailescu",
"M.",
""
],
[
"Park",
"I. Y.",
""
],
[
"Tran",
"T. A.",
""
]
] |
We consider a Dp brane within a D9 brane in the presence of a B-field whose polarization is {\em transverse} to the Dp brane. To be definite, we take a D3-D9 system. It is observed that the system has the same pattern of supersymmetry breaking as that of a soliton of the six dimensional non-commutative gauge theory that is obtained by dimensional reduction of an {\cal N}=1, D=10 gauge theory. These results indicate that the soliton solution is the low energy realization of a D3 brane in a D9 brane with a transverse B-field, hence can be viewed as a generalization of the previous results in the literature where similar observations were made for lower codimensional cases.
| 7.484721
| 7.133451
| 8.662355
| 6.865607
| 7.13935
| 6.901966
| 6.957911
| 6.59521
| 6.615105
| 8.100901
| 6.822491
| 6.76606
| 7.38171
| 6.808696
| 6.935092
| 6.592234
| 6.739459
| 6.719896
| 6.583309
| 7.06389
| 6.885657
|
hep-th/9507085
|
Paul Montague
|
P.S. Montague
|
On the Uniqueness of the Twisted Representation in the Z_2 Orbifold
Construction of a Conformal Field Theory from a Lattice
|
27 pages LaTeX. Typos corrected -- no major changes
|
Nucl.Phys. B455 (1995) 461-490
|
10.1016/0550-3213(95)00486-C
|
ADP-95/M35
|
hep-th
| null |
Following on from recent work describing the representation content of a
meromorphic bosonic conformal field theory in terms of a certain state inside
the theory corresponding to a fixed state in the representation, and using work
of Zhu on a correspondence between the representations of the conformal field
theory and representations of a particular associative algebra constructed from
it, we construct a general solution for the state defining the representation
and identify the further restrictions on it necessary for it to correspond to a
ground state in the representation space. We then use this general theory to
analyze the representations of the Heisenberg algebra and its $Z_2$-projection.
The conjectured uniqueness of the twisted representation is shown explicitly,
and we extend our considerations to the reflection-twisted FKS construction of
a conformal field theory from a lattice.
|
[
{
"created": "Mon, 17 Jul 1995 06:22:57 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Jul 1995 08:19:16 GMT",
"version": "v2"
},
{
"created": "Tue, 31 Oct 1995 17:43:30 GMT",
"version": "v3"
}
] |
2015-06-26
|
[
[
"Montague",
"P. S.",
""
]
] |
Following on from recent work describing the representation content of a meromorphic bosonic conformal field theory in terms of a certain state inside the theory corresponding to a fixed state in the representation, and using work of Zhu on a correspondence between the representations of the conformal field theory and representations of a particular associative algebra constructed from it, we construct a general solution for the state defining the representation and identify the further restrictions on it necessary for it to correspond to a ground state in the representation space. We then use this general theory to analyze the representations of the Heisenberg algebra and its $Z_2$-projection. The conjectured uniqueness of the twisted representation is shown explicitly, and we extend our considerations to the reflection-twisted FKS construction of a conformal field theory from a lattice.
| 16.024464
| 14.433142
| 16.291803
| 13.289787
| 13.544488
| 15.033997
| 15.094302
| 13.935296
| 13.0697
| 16.441208
| 13.150078
| 14.447612
| 14.897915
| 13.807995
| 14.259706
| 13.5658
| 13.893738
| 13.73587
| 13.848619
| 14.800189
| 13.49011
|
0801.0149
|
Ashoke Sen
|
Shamik Banerjee and Ashoke Sen
|
S-duality Action on Discrete T-duality Invariants
|
LaTeX file, 10 pages
|
JHEP 0804:012,2008
|
10.1088/1126-6708/2008/04/012
| null |
hep-th
| null |
In heterotic string theory compactified on T^6, the T-duality orbits of dyons
of charge (Q,P) are characterized by O(6,22;R) invariants Q^2, P^2 and Q.P
together with a set of invariants of the discrete T-duality group O(6,22;Z). We
study the action of S-duality group on the discrete T-duality invariants and
study its consequence for the dyon degeneracy formula. In particular we find
that for dyons with torsion r, the degeneracy formula, expressed as a function
of Q^2, P^2 and Q.P, is required to be manifestly invariant under only a
subgroup of the S-duality group. This subgroup is isomorphic to \Gamma^0(r).
Our analysis also shows that for a given torsion r, all other discrete
T-duality invariants are characterized by the elements of the coset
SL(2,Z)/\Gamma^0(r).
|
[
{
"created": "Sun, 30 Dec 2007 17:48:19 GMT",
"version": "v1"
}
] |
2009-09-15
|
[
[
"Banerjee",
"Shamik",
""
],
[
"Sen",
"Ashoke",
""
]
] |
In heterotic string theory compactified on T^6, the T-duality orbits of dyons of charge (Q,P) are characterized by O(6,22;R) invariants Q^2, P^2 and Q.P together with a set of invariants of the discrete T-duality group O(6,22;Z). We study the action of S-duality group on the discrete T-duality invariants and study its consequence for the dyon degeneracy formula. In particular we find that for dyons with torsion r, the degeneracy formula, expressed as a function of Q^2, P^2 and Q.P, is required to be manifestly invariant under only a subgroup of the S-duality group. This subgroup is isomorphic to \Gamma^0(r). Our analysis also shows that for a given torsion r, all other discrete T-duality invariants are characterized by the elements of the coset SL(2,Z)/\Gamma^0(r).
| 6.164972
| 6.119039
| 6.851958
| 5.478077
| 5.955173
| 6.174703
| 6.106235
| 5.55636
| 5.980727
| 6.800331
| 5.666376
| 5.931092
| 6.302752
| 5.825527
| 5.706635
| 5.786294
| 5.799103
| 5.79258
| 5.821164
| 6.422606
| 5.973709
|
hep-th/0406066
|
Andreas Fring
|
Olalla Castro-Alvaredo and Andreas Fring
|
Chaos in the thermodynamic Bethe ansatz
|
10 pages, Latex
|
Phys.Lett. A334 (2005) 173
|
10.1016/j.physleta.2004.11.009
|
City CMS 0304/LPENSL-TH-04
|
hep-th
| null |
We investigate the discretized version of the thermodynamic Bethe ansatz
equation for a variety of 1+1 dimensional quantum field theories. By computing
Lyapunov exponents we establish that many systems of this type exhibit chaotic
behaviour, in the sense that their orbits through fixed points are extremely
sensitive with regard to the initial conditions.
|
[
{
"created": "Mon, 7 Jun 2004 18:34:30 GMT",
"version": "v1"
}
] |
2010-04-05
|
[
[
"Castro-Alvaredo",
"Olalla",
""
],
[
"Fring",
"Andreas",
""
]
] |
We investigate the discretized version of the thermodynamic Bethe ansatz equation for a variety of 1+1 dimensional quantum field theories. By computing Lyapunov exponents we establish that many systems of this type exhibit chaotic behaviour, in the sense that their orbits through fixed points are extremely sensitive with regard to the initial conditions.
| 11.249288
| 12.168345
| 10.062057
| 10.529412
| 10.927144
| 11.699291
| 10.193681
| 10.013074
| 10.522521
| 11.187625
| 9.997005
| 9.829419
| 10.522586
| 9.646357
| 9.749706
| 10.301256
| 9.597581
| 10.596087
| 10.16545
| 10.203164
| 10.265221
|
1112.6346
|
Bayram Tekin
|
Metin Gurses, Tahsin Cagri Sisman, Bayram Tekin
|
Some exact solutions of all f(Ricci) theories in three dimensions
|
25 pages, references added, presentation improved, version to appear
in Phys. Rev. D
|
Phys. Rev. D 86, 024001 (2012)
|
10.1103/PhysRevD.86.024001
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We find constant scalar curvature Type-N and Type-D solutions in all higher
curvature gravity theories with actions of the form f(Ricci) that are built on
the Ricci tensor, but not on its derivatives. In our construction, these higher
derivative theories inherit some of the previously studied solutions of the
cosmological topologically massive gravity and the new massive gravity field
equations, once the parameters of the theories are adjusted. Besides the
generic higher curvature theory, we have considered in some detail the examples
of the quadratic curvature theory, the cubic curvature theory, and the
Born-Infeld extension of the new massive gravity.
|
[
{
"created": "Thu, 29 Dec 2011 16:50:49 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Jan 2012 15:18:36 GMT",
"version": "v2"
},
{
"created": "Wed, 13 Jun 2012 11:38:16 GMT",
"version": "v3"
}
] |
2012-07-17
|
[
[
"Gurses",
"Metin",
""
],
[
"Sisman",
"Tahsin Cagri",
""
],
[
"Tekin",
"Bayram",
""
]
] |
We find constant scalar curvature Type-N and Type-D solutions in all higher curvature gravity theories with actions of the form f(Ricci) that are built on the Ricci tensor, but not on its derivatives. In our construction, these higher derivative theories inherit some of the previously studied solutions of the cosmological topologically massive gravity and the new massive gravity field equations, once the parameters of the theories are adjusted. Besides the generic higher curvature theory, we have considered in some detail the examples of the quadratic curvature theory, the cubic curvature theory, and the Born-Infeld extension of the new massive gravity.
| 13.193371
| 11.238624
| 11.643831
| 10.540034
| 10.263347
| 10.107727
| 12.097307
| 9.741267
| 10.505426
| 11.597656
| 9.659514
| 10.837716
| 11.758342
| 11.080522
| 11.866235
| 10.961025
| 10.772268
| 10.990271
| 10.471244
| 12.233426
| 10.699687
|
1312.2261
|
Daniel O'Keeffe
|
Daniel K. O'Keeffe and Amanda W. Peet
|
Electric hyperscaling violating solutions in Einstein-Maxwell-dilaton
gravity with R^2 corrections
|
38 pages, 16 figures; v2: References added and typos corrected
|
Phys. Rev. D 90, 026004 (2014)
|
10.1103/PhysRevD.90.026004
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the context of holography applied to condensed matter physics, we study
Einstein-Maxwell-dilaton theory with curvature squared corrections. This theory
has three couplings eta_i for the three R^2 invariants and two theory
functions: a dilaton potential V(phi) and a dilaton-dependent gauge coupling
f(phi). We find hyperscaling violating solutions of this theory, parametrized
by dynamical critical exponent z and HSV parameter theta. We obtain
restrictions on the form of the theory functions required to support HSV-type
solutions using three physical inputs: the null energy condition, causality z
$\leq$ 1, and d_eff = d - theta lying in the range 0 < d_eff $\leq$ d. The NEC
constraints are linear in the eta_i and (quartic) polynomial in d,z,theta. The
allowed ranges of z,theta change depending on the signs of eta_i. For the case
of Einstein-Weyl gravity, we further narrow down the theory functions and
solution parameters required for crossover solutions interpolating between HSV,
AdS_d+2 near the boundary, and AdS_2 x R^d in the deep interior.
|
[
{
"created": "Sun, 8 Dec 2013 20:56:09 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Dec 2013 19:16:35 GMT",
"version": "v2"
}
] |
2014-07-23
|
[
[
"O'Keeffe",
"Daniel K.",
""
],
[
"Peet",
"Amanda W.",
""
]
] |
In the context of holography applied to condensed matter physics, we study Einstein-Maxwell-dilaton theory with curvature squared corrections. This theory has three couplings eta_i for the three R^2 invariants and two theory functions: a dilaton potential V(phi) and a dilaton-dependent gauge coupling f(phi). We find hyperscaling violating solutions of this theory, parametrized by dynamical critical exponent z and HSV parameter theta. We obtain restrictions on the form of the theory functions required to support HSV-type solutions using three physical inputs: the null energy condition, causality z $\leq$ 1, and d_eff = d - theta lying in the range 0 < d_eff $\leq$ d. The NEC constraints are linear in the eta_i and (quartic) polynomial in d,z,theta. The allowed ranges of z,theta change depending on the signs of eta_i. For the case of Einstein-Weyl gravity, we further narrow down the theory functions and solution parameters required for crossover solutions interpolating between HSV, AdS_d+2 near the boundary, and AdS_2 x R^d in the deep interior.
| 10.999035
| 13.056189
| 12.322007
| 10.189429
| 11.555121
| 12.165714
| 11.776132
| 10.952036
| 11.652315
| 14.022149
| 10.415753
| 10.767721
| 10.960775
| 10.291077
| 10.782996
| 10.65341
| 10.9675
| 10.758714
| 10.841555
| 11.00111
| 10.621965
|
2104.02051
|
Sameer Murthy
|
Arash Arabi Ardehali and Sameer Murthy
|
The 4d superconformal index near roots of unity and 3d Chern-Simons
theory
|
v3: minor corrections and clarifications added
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We consider the $S^3\times S^1$ superconformal index $\mathcal{I}(\tau)$ of
4d $\mathcal{N}=1$ gauge theories. The Hamiltonian index is defined in a
standard manner as the Witten index with a chemical potential $\tau$ coupled to
a combination of angular momenta on $S^3$ and the $U(1)$ R-charge. We develop
the all-order asymptotic expansion of the index as $q = e^{2 \pi i \tau}$
approaches a root of unity, i.e. as $\widetilde \tau \equiv m \tau + n \to 0$,
with $m,n$ relatively prime integers. The asymptotic expansion of
$\log\mathcal{I}(\tau)$ has terms of the form $\widetilde \tau^k$, $k = -2, -1,
0, 1$. We determine the coefficients of the $k=-2,-1,1$ terms from the gauge
theory data, and provide evidence that the $k=0$ term is determined by the
Chern-Simons partition function on $S^3/\mathbb{Z}_m$. We explain these
findings from the point of view of the 3d theory obtained by reducing the 4d
gauge theory on the $S^1$. The supersymmetric functional integral of the 3d
theory takes the form of a matrix integral over the dynamical 3d fields, with
an effective action given by supersymmetrized Chern-Simons couplings of
background and dynamical gauge fields. The singular terms in the $\widetilde
\tau \to 0$ expansion (dictating the growth of the 4d index) are governed by
the background Chern-Simons couplings. The constant term has a background piece
as well as a piece given by the localized functional integral over the
dynamical 3d gauge multiplet. The linear term arises from the supersymmetric
Casimir energy factor needed to go between the functional integral and the
Hamiltonian index.
|
[
{
"created": "Mon, 5 Apr 2021 17:59:12 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Apr 2021 16:31:07 GMT",
"version": "v2"
},
{
"created": "Wed, 14 Jul 2021 10:32:43 GMT",
"version": "v3"
}
] |
2021-07-15
|
[
[
"Ardehali",
"Arash Arabi",
""
],
[
"Murthy",
"Sameer",
""
]
] |
We consider the $S^3\times S^1$ superconformal index $\mathcal{I}(\tau)$ of 4d $\mathcal{N}=1$ gauge theories. The Hamiltonian index is defined in a standard manner as the Witten index with a chemical potential $\tau$ coupled to a combination of angular momenta on $S^3$ and the $U(1)$ R-charge. We develop the all-order asymptotic expansion of the index as $q = e^{2 \pi i \tau}$ approaches a root of unity, i.e. as $\widetilde \tau \equiv m \tau + n \to 0$, with $m,n$ relatively prime integers. The asymptotic expansion of $\log\mathcal{I}(\tau)$ has terms of the form $\widetilde \tau^k$, $k = -2, -1, 0, 1$. We determine the coefficients of the $k=-2,-1,1$ terms from the gauge theory data, and provide evidence that the $k=0$ term is determined by the Chern-Simons partition function on $S^3/\mathbb{Z}_m$. We explain these findings from the point of view of the 3d theory obtained by reducing the 4d gauge theory on the $S^1$. The supersymmetric functional integral of the 3d theory takes the form of a matrix integral over the dynamical 3d fields, with an effective action given by supersymmetrized Chern-Simons couplings of background and dynamical gauge fields. The singular terms in the $\widetilde \tau \to 0$ expansion (dictating the growth of the 4d index) are governed by the background Chern-Simons couplings. The constant term has a background piece as well as a piece given by the localized functional integral over the dynamical 3d gauge multiplet. The linear term arises from the supersymmetric Casimir energy factor needed to go between the functional integral and the Hamiltonian index.
| 4.598102
| 4.862883
| 5.171271
| 4.560603
| 4.881603
| 5.013938
| 5.037647
| 4.65872
| 4.509721
| 5.578602
| 4.657591
| 4.643496
| 4.682786
| 4.65906
| 4.662536
| 4.714315
| 4.65941
| 4.603416
| 4.662986
| 4.724146
| 4.538648
|
1701.07445
|
Ping Gao
|
Ping Gao and Hong Liu
|
Emergent Supersymmetry in Local Equilibrium Systems
|
45 pages
| null |
10.1007/JHEP01(2018)040
|
MIT-CTP/4861
|
hep-th cond-mat.stat-mech hep-ph math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Many physical processes we observe in nature involve variations of
macroscopic quantities over spatial and temporal scales much larger than
microscopic molecular collision scales and can be considered as in local
thermal equilibrium. In this paper we show that any classical statistical
system in local thermal equilibrium has an emergent supersymmetry at low
energies. We use the framework of non-equilibrium effective field theory for
quantum many-body systems defined on a closed time path contour and consider
its classical limit. Unitarity of time evolution requires introducing
anti-commuting degrees of freedom and BRST symmetry which survive in the
classical limit. The local equilibrium is realized through a $Z_2$ dynamical
KMS symmetry. We show that supersymmetry is equivalent to the combination of
BRST and a specific consequence of the dynamical KMS symmetry, to which we
refer as the special dynamical KMS condition. In particular, we prove a theorem
stating that a system satisfying the special dynamical KMS condition is always
supersymmetrizable. We discuss a number of examples explicitly, including model
A for dynamical critical phenomena, a hydrodynamic theory of nonlinear
diffusion, and fluctuating hydrodynamics for relativistic charged fluids.
|
[
{
"created": "Wed, 25 Jan 2017 19:01:12 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Sep 2017 15:50:19 GMT",
"version": "v2"
}
] |
2018-02-14
|
[
[
"Gao",
"Ping",
""
],
[
"Liu",
"Hong",
""
]
] |
Many physical processes we observe in nature involve variations of macroscopic quantities over spatial and temporal scales much larger than microscopic molecular collision scales and can be considered as in local thermal equilibrium. In this paper we show that any classical statistical system in local thermal equilibrium has an emergent supersymmetry at low energies. We use the framework of non-equilibrium effective field theory for quantum many-body systems defined on a closed time path contour and consider its classical limit. Unitarity of time evolution requires introducing anti-commuting degrees of freedom and BRST symmetry which survive in the classical limit. The local equilibrium is realized through a $Z_2$ dynamical KMS symmetry. We show that supersymmetry is equivalent to the combination of BRST and a specific consequence of the dynamical KMS symmetry, to which we refer as the special dynamical KMS condition. In particular, we prove a theorem stating that a system satisfying the special dynamical KMS condition is always supersymmetrizable. We discuss a number of examples explicitly, including model A for dynamical critical phenomena, a hydrodynamic theory of nonlinear diffusion, and fluctuating hydrodynamics for relativistic charged fluids.
| 8.975408
| 9.301028
| 9.857574
| 8.831862
| 9.313678
| 9.944493
| 8.965569
| 9.433826
| 8.961528
| 11.415614
| 8.601136
| 9.244624
| 9.085659
| 8.68962
| 9.022753
| 8.937295
| 9.039509
| 9.142175
| 8.997819
| 8.842381
| 8.838334
|
1505.01937
|
Andrew Matas
|
Andrew Matas, Daniel M\"uller, and Glenn Starkman
|
Point particle motion in topologically nontrivial space-times
|
24 pages, 3 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is well known that compactifying a space can break symmetries that are
present in the covering space. In this paper we study the effects of such
topological symmetry breaking on point-particle motion when the particle is
coupled to a massless field on the space. For a torus topology where Lorentz
invariance is broken but translation invariance is maintained, particles can
move at a constant velocity through the space; however, non-local,
velocity-dependent forces arise whenever the particle is accelerated. For a
topology where translation invariance is broken, such as the Klein bottle,
interactions with the massless field generate an effective potential as a
function of position. The potential creates special stable points in the space,
and prevents constant velocity motion. This latter would appear to be the
generic case. This class of effects may be applicable whenever a localized
object moves through a compactified bulk, such as in brane-world cosmology, or
some condensed matter systems.
|
[
{
"created": "Fri, 8 May 2015 06:24:01 GMT",
"version": "v1"
}
] |
2015-05-11
|
[
[
"Matas",
"Andrew",
""
],
[
"Müller",
"Daniel",
""
],
[
"Starkman",
"Glenn",
""
]
] |
It is well known that compactifying a space can break symmetries that are present in the covering space. In this paper we study the effects of such topological symmetry breaking on point-particle motion when the particle is coupled to a massless field on the space. For a torus topology where Lorentz invariance is broken but translation invariance is maintained, particles can move at a constant velocity through the space; however, non-local, velocity-dependent forces arise whenever the particle is accelerated. For a topology where translation invariance is broken, such as the Klein bottle, interactions with the massless field generate an effective potential as a function of position. The potential creates special stable points in the space, and prevents constant velocity motion. This latter would appear to be the generic case. This class of effects may be applicable whenever a localized object moves through a compactified bulk, such as in brane-world cosmology, or some condensed matter systems.
| 9.245774
| 10.499435
| 9.339279
| 9.548166
| 10.034396
| 10.436512
| 9.562254
| 9.94162
| 9.778596
| 10.296679
| 9.630937
| 8.921151
| 9.041869
| 9.072435
| 8.915027
| 9.233255
| 9.207062
| 8.889584
| 8.921111
| 9.052045
| 8.894295
|
hep-th/9510212
|
Nissan Itzhaki
|
N. Itzhaki
|
Black Hole Information vs. Locality
|
19 pages, final version to appear in Phys. Rev. D
|
Phys. Rev. D 54, 1557 (1996)
|
10.1103/PhysRevD.54.1557
|
TAUP-2298-95
|
hep-th gr-qc
| null |
We discuss the limitations on space time measurement in the Schwarzchild
metric. We find that near the horizon the limitations on space time measurement
are of the order of the black hole radius. We suggest that it indicates that a
large mass black hole cannot be described by means of local field theory even
at macroscopic distances and that any attempt to describe black hole formation
and evaporation by means of an effective local field theory will necessarily
lead to information loss. We also present a new interpretation of the black
hole entropy which leads to $S=cA$ , where $c$ is a constant of order $1$ which
does not depend on the number of fields.
|
[
{
"created": "Mon, 30 Oct 1995 08:55:36 GMT",
"version": "v1"
},
{
"created": "Thu, 9 May 1996 08:05:49 GMT",
"version": "v2"
}
] |
2016-08-24
|
[
[
"Itzhaki",
"N.",
""
]
] |
We discuss the limitations on space time measurement in the Schwarzchild metric. We find that near the horizon the limitations on space time measurement are of the order of the black hole radius. We suggest that it indicates that a large mass black hole cannot be described by means of local field theory even at macroscopic distances and that any attempt to describe black hole formation and evaporation by means of an effective local field theory will necessarily lead to information loss. We also present a new interpretation of the black hole entropy which leads to $S=cA$ , where $c$ is a constant of order $1$ which does not depend on the number of fields.
| 8.833014
| 7.756009
| 8.215745
| 8.1643
| 8.580127
| 7.947968
| 7.700157
| 8.008718
| 8.165389
| 9.069959
| 7.612625
| 8.336418
| 8.183172
| 8.224772
| 8.203124
| 8.383799
| 8.212006
| 8.145573
| 8.226698
| 8.43062
| 8.098955
|
hep-th/9206073
|
Ted Allen
|
Theodore J. Allen and Andrew J. Bordner
|
Charged Vortex Dynamics in Ginzburg-Landau Theory of the Fractional
Quantum Hall Effect
|
28 pages + 1 Figure, new phyzzx macro (included), MAD/TH-92-02
|
Int.J.Mod.Phys. A10 (1995) 645-666
|
10.1142/S0217751X95000292
| null |
hep-th cond-mat
| null |
We write a Ginzburg-Landau Hamiltonian for a charged order parameter
interacting with a background electromagnetic field in 2+1 dimensions. Using
the method of Lund we derive a collective coordinate action for vortex defects
in the order parameter and demonstrate that the vortices are charged. We
examine the classical dynamics of the vortices and then quantize their motion,
demonstrating that their peculiar classical motion is a result of the fact that
the quantum motion takes place in the lowest Landau level. The classical and
quantum motion in two dimensional regions with boundaries is also investigated.
The quantum theory is not invariant under magnetic translations. Magnetic
translations add total time derivative terms to the collective action, but no
extra constants of the motion result.
|
[
{
"created": "Thu, 18 Jun 1992 18:39:00 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Allen",
"Theodore J.",
""
],
[
"Bordner",
"Andrew J.",
""
]
] |
We write a Ginzburg-Landau Hamiltonian for a charged order parameter interacting with a background electromagnetic field in 2+1 dimensions. Using the method of Lund we derive a collective coordinate action for vortex defects in the order parameter and demonstrate that the vortices are charged. We examine the classical dynamics of the vortices and then quantize their motion, demonstrating that their peculiar classical motion is a result of the fact that the quantum motion takes place in the lowest Landau level. The classical and quantum motion in two dimensional regions with boundaries is also investigated. The quantum theory is not invariant under magnetic translations. Magnetic translations add total time derivative terms to the collective action, but no extra constants of the motion result.
| 11.8401
| 11.194245
| 11.547658
| 10.269084
| 11.061449
| 10.852452
| 10.497169
| 10.809292
| 10.780614
| 11.625055
| 10.273386
| 10.584846
| 11.398176
| 10.585297
| 11.230172
| 10.877976
| 10.854069
| 10.592312
| 10.762501
| 11.016927
| 10.604736
|
hep-th/9604144
|
Markus Pflaum
|
Markus J. Pflaum
|
A new concept of deformation quantization, I. Normal order quantization
on cotangent bundles
|
postscript-file, 70 pages, also available at
ftp://ftp.math.tu-berlin.de/pub/Preprints/sfb288/abstract186.html
| null | null | null |
hep-th math-ph math.MP
| null |
In this work we give a deformation theoretical approach to the problem of
quantization. First the notion of a deformation of a noncommutative ringed
space over a commutative locally ringed space is introduced within a language
coming from Algebraic Geometry and Complex Analysis. Then we define what a
Dirac quantization of a commutative ringed space with a Poisson structure, the
space of classical observables, is. Afterwards the normal order quantization of
the Poisson space of classical polynomial observables on a cotangent bundle is
constructed. By using a complete symbol calculus on manifolds we succeed in
extending the normal order quantization of polynomial observables to a
quantization of a Poisson space of symbols on a cotangent bundle. Furthermore
we consider functorial properties of these quantizations. Altogether it is
shown that a deformation theoretical approach to quantization is possible not
only in a formal sense but also such that the deformation parameter $\hbar$ can
attain any real value.
|
[
{
"created": "Tue, 23 Apr 1996 12:50:30 GMT",
"version": "v1"
}
] |
2013-08-08
|
[
[
"Pflaum",
"Markus J.",
""
]
] |
In this work we give a deformation theoretical approach to the problem of quantization. First the notion of a deformation of a noncommutative ringed space over a commutative locally ringed space is introduced within a language coming from Algebraic Geometry and Complex Analysis. Then we define what a Dirac quantization of a commutative ringed space with a Poisson structure, the space of classical observables, is. Afterwards the normal order quantization of the Poisson space of classical polynomial observables on a cotangent bundle is constructed. By using a complete symbol calculus on manifolds we succeed in extending the normal order quantization of polynomial observables to a quantization of a Poisson space of symbols on a cotangent bundle. Furthermore we consider functorial properties of these quantizations. Altogether it is shown that a deformation theoretical approach to quantization is possible not only in a formal sense but also such that the deformation parameter $\hbar$ can attain any real value.
| 7.546191
| 7.876065
| 8.166615
| 8.13033
| 9.191965
| 8.700242
| 8.367659
| 8.331929
| 8.032384
| 8.454438
| 7.672127
| 7.187663
| 7.473773
| 7.440803
| 7.374479
| 7.356365
| 7.679292
| 7.220517
| 7.414466
| 7.672491
| 7.089308
|
hep-th/0406134
|
Thomas Hertog
|
Thomas Hertog, Gary T. Horowitz
|
Towards a Big Crunch Dual
|
27 pages, 3 figures;v2:minor corrections
|
JHEP0407:073,2004
|
10.1088/1126-6708/2004/07/073
| null |
hep-th gr-qc
| null |
We show there exist smooth asymptotically anti-de Sitter initial data which
evolve to a big crunch singularity in a low energy supergravity limit of string
theory. This opens up the possibility of using the dual conformal field theory
to obtain a fully quantum description of the cosmological singularity. A
preliminary study of this dual theory suggests that the big crunch is an
endpoint of evolution even in the full string theory. We also show that any
theory with scalar solitons must have negative energy solutions. The results
presented here clarify our earlier work on cosmic censorship violation in N=8
supergravity.
|
[
{
"created": "Tue, 15 Jun 2004 17:57:52 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Jul 2004 23:15:49 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Hertog",
"Thomas",
""
],
[
"Horowitz",
"Gary T.",
""
]
] |
We show there exist smooth asymptotically anti-de Sitter initial data which evolve to a big crunch singularity in a low energy supergravity limit of string theory. This opens up the possibility of using the dual conformal field theory to obtain a fully quantum description of the cosmological singularity. A preliminary study of this dual theory suggests that the big crunch is an endpoint of evolution even in the full string theory. We also show that any theory with scalar solitons must have negative energy solutions. The results presented here clarify our earlier work on cosmic censorship violation in N=8 supergravity.
| 9.543498
| 8.947391
| 8.849296
| 8.338624
| 8.190225
| 8.806681
| 8.882906
| 8.842229
| 8.029941
| 10.562604
| 8.657635
| 8.76253
| 9.44448
| 8.715407
| 8.471882
| 8.644075
| 8.743899
| 8.404753
| 8.463508
| 9.517043
| 8.739068
|
0810.0227
|
Shang-Yu Wu
|
Feng-Li Lin, Shang-Yu Wu
|
Non-relativistic Holography and Singular Black Hole
|
19 pages, 1 figure, v3. minor revisions, refs. added v4. minor
revisions
|
Phys.Lett.B679:65-72,2009
|
10.1016/j.physletb.2009.07.002
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We provide a framework for non-relativistic holography so that a covariant
action principle ensuring the Galilean symmetry for dual conformal field theory
is given. This framework is based on the Bargmann lift of the Newton-Cartan
gravity to the one-dimensional higher Einstein gravity, or reversely, the
null-like Kaluza-Klein reduction. We reproduce the previous zero temperature
results, and our framework provides a natural explanation about why the
holography is co-dimension 2. We then construct the black hole solution dual to
the thermal CFT, and find the horizon is curvature singular. However, we are
able to derive the sensible thermodynamics for the dual non-relativistic CFT
with correct thermodynamical relations. Besides, our construction admits a null
Killing vector in the bulk such that the Galilean symmetry is preserved under
the holographic RG flow. Finally, we evaluate the viscosity and find it zero if
we neglect the back reaction of the singular horizon, otherwise, it could be
nonzero.
|
[
{
"created": "Wed, 1 Oct 2008 17:58:05 GMT",
"version": "v1"
},
{
"created": "Sun, 26 Oct 2008 14:53:11 GMT",
"version": "v2"
},
{
"created": "Tue, 30 Dec 2008 07:57:04 GMT",
"version": "v3"
},
{
"created": "Mon, 6 Jul 2009 17:09:47 GMT",
"version": "v4"
}
] |
2014-11-18
|
[
[
"Lin",
"Feng-Li",
""
],
[
"Wu",
"Shang-Yu",
""
]
] |
We provide a framework for non-relativistic holography so that a covariant action principle ensuring the Galilean symmetry for dual conformal field theory is given. This framework is based on the Bargmann lift of the Newton-Cartan gravity to the one-dimensional higher Einstein gravity, or reversely, the null-like Kaluza-Klein reduction. We reproduce the previous zero temperature results, and our framework provides a natural explanation about why the holography is co-dimension 2. We then construct the black hole solution dual to the thermal CFT, and find the horizon is curvature singular. However, we are able to derive the sensible thermodynamics for the dual non-relativistic CFT with correct thermodynamical relations. Besides, our construction admits a null Killing vector in the bulk such that the Galilean symmetry is preserved under the holographic RG flow. Finally, we evaluate the viscosity and find it zero if we neglect the back reaction of the singular horizon, otherwise, it could be nonzero.
| 10.402848
| 11.490068
| 11.873103
| 10.736357
| 11.306186
| 10.702669
| 10.467251
| 10.184788
| 10.605801
| 13.073885
| 10.076055
| 10.347345
| 11.063641
| 10.560436
| 10.543007
| 10.538381
| 10.296945
| 10.441031
| 10.094832
| 11.256124
| 10.002101
|
2201.11402
|
Gustavo Brito
|
Gustavo P. de Brito, Astrid Eichhorn
|
Nonvanishing gravitational contribution to matter beta functions for
vanishing dimensionful regulators
|
23 pages + Appendix, 10 figures
| null |
10.1140/epjc/s10052-023-11172-z
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explore the effect of quantum gravity on matter within a Renormalization
Group framework. First, our results provide an explicit example of how
misleading conclusions can be drawn by analyzing the gravitational
contributions to beta functions, instead of analyzing universal quantities,
such as critical exponents, that can be extracted from the beta functions. This
could be key to explain differences between perturbative studies and Functional
Renormalization Group studies. Second, we strengthen the evidence that
asymptotically safe gravity could generate a predictive ultraviolet completion
for matter theories with gauge interactions, even in the limit of vanishing
dimensionful regulator function. We also find that the situation can be more
subtle with higher-order, gravity-induced matter interactions.
|
[
{
"created": "Thu, 27 Jan 2022 09:34:41 GMT",
"version": "v1"
}
] |
2023-03-22
|
[
[
"de Brito",
"Gustavo P.",
""
],
[
"Eichhorn",
"Astrid",
""
]
] |
We explore the effect of quantum gravity on matter within a Renormalization Group framework. First, our results provide an explicit example of how misleading conclusions can be drawn by analyzing the gravitational contributions to beta functions, instead of analyzing universal quantities, such as critical exponents, that can be extracted from the beta functions. This could be key to explain differences between perturbative studies and Functional Renormalization Group studies. Second, we strengthen the evidence that asymptotically safe gravity could generate a predictive ultraviolet completion for matter theories with gauge interactions, even in the limit of vanishing dimensionful regulator function. We also find that the situation can be more subtle with higher-order, gravity-induced matter interactions.
| 14.699294
| 14.851637
| 14.831192
| 13.530307
| 14.930137
| 14.634563
| 14.16539
| 15.032598
| 14.188093
| 15.538891
| 13.381208
| 14.258561
| 14.744045
| 14.283502
| 14.610358
| 14.086733
| 14.603784
| 13.966809
| 14.043699
| 14.547698
| 14.044665
|
2209.09248
|
Mario Martone
|
Philip C. Argyres and Mario Martone
|
The rank 2 classification problem I: scale invariant geometries
|
Tables and references updated
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this first of a series of three papers we outline an approach to
classifying 4d $\mathcal{N}{=}2$ superconformal field theories at rank 2. The
classification of allowed scale invariant $\mathcal{N}=2$ Coulomb branch
geometries of dimension (or rank) greater than one is a famous open problem
whose solution will greatly constrain the space of $\mathcal{N}{=}2$
superconformal field theories. At rank 2 the problem is equivalent to finding
all possible genus 2 Seiberg-Witten curves and 1-forms satisfying a special
K\"ahler condition. This is tractable because regular genus 2 Riemann surfaces
can be uniformly described as binary-sextic plane curves, and the
Seiberg-Witten curves are families of such curves varying meromorphically over
the two-dimensional base. There are also solutions consisting of families of
degenerate genus-2 Riemann surfaces given by a bouquet of two elliptic curves
which are described by a different set of curves. In this paper we set up and
carry out the analysis of the generic case, i.e., those whose typical fiber is
a regular genus-2 Riemann surface with no extended automorphism, and find the
complete answer for polynomial coefficients.
|
[
{
"created": "Mon, 19 Sep 2022 18:00:00 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Sep 2022 07:25:29 GMT",
"version": "v2"
}
] |
2022-09-28
|
[
[
"Argyres",
"Philip C.",
""
],
[
"Martone",
"Mario",
""
]
] |
In this first of a series of three papers we outline an approach to classifying 4d $\mathcal{N}{=}2$ superconformal field theories at rank 2. The classification of allowed scale invariant $\mathcal{N}=2$ Coulomb branch geometries of dimension (or rank) greater than one is a famous open problem whose solution will greatly constrain the space of $\mathcal{N}{=}2$ superconformal field theories. At rank 2 the problem is equivalent to finding all possible genus 2 Seiberg-Witten curves and 1-forms satisfying a special K\"ahler condition. This is tractable because regular genus 2 Riemann surfaces can be uniformly described as binary-sextic plane curves, and the Seiberg-Witten curves are families of such curves varying meromorphically over the two-dimensional base. There are also solutions consisting of families of degenerate genus-2 Riemann surfaces given by a bouquet of two elliptic curves which are described by a different set of curves. In this paper we set up and carry out the analysis of the generic case, i.e., those whose typical fiber is a regular genus-2 Riemann surface with no extended automorphism, and find the complete answer for polynomial coefficients.
| 8.888806
| 8.443689
| 9.484878
| 7.76544
| 8.437191
| 8.40547
| 8.559141
| 8.250648
| 7.752953
| 10.212844
| 7.935657
| 8.237072
| 8.229387
| 8.002567
| 8.271829
| 8.136057
| 8.006286
| 7.954878
| 8.06729
| 8.400846
| 8.006272
|
hep-th/9506176
|
M. Yoshimura
|
M.Yoshimura
|
Catastrophic Particle Production under Periodic Perturbation
|
33 pages
|
Prog.Theor.Phys. 94 (1995) 873-898
|
10.1143/PTP.94.873
|
TU/95/484
|
hep-th gr-qc hep-ph
| null |
We develop a formalism to investigate the behavior of quantum field and
quantum ground state when the field is coupled to perturbation that
periodically oscillates. Working in the Schroedinger picture of quantum field
theory, we confirm that the phenomenon of parametric resonance in the classical
theory implies an instability of quantum vacuum, and correspondingly it gives
rise to catastrophic particle production if the oscillation lasts indefinitely;
the produced number of particles exponentially increases without bound as time
proceeds. The density matrix describing the limiting stage of the quantum state
is determined by a small set of parameters. Moreover, the energy spectrum and
the intensity of produced particles are worked out in greatest detail in the
limit of weak coupling or small amplitude perturbation. In the case of strong
coupling or large amplitude perturbation the leading adiabatic formula is
derived. Application to cosmological fate of weakly interacting spinless fields
(WISF) such as the invisible axion, the Polonyi, and the modular fields is
discussed. Although very little effect is expected on the invisible axion, the
Polonyi type field has a chance that it catastrophically decays at an early
epoch without much production of entropy, provided that an intrinsic coupling
is large enough.
|
[
{
"created": "Tue, 27 Jun 1995 05:27:01 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Yoshimura",
"M.",
""
]
] |
We develop a formalism to investigate the behavior of quantum field and quantum ground state when the field is coupled to perturbation that periodically oscillates. Working in the Schroedinger picture of quantum field theory, we confirm that the phenomenon of parametric resonance in the classical theory implies an instability of quantum vacuum, and correspondingly it gives rise to catastrophic particle production if the oscillation lasts indefinitely; the produced number of particles exponentially increases without bound as time proceeds. The density matrix describing the limiting stage of the quantum state is determined by a small set of parameters. Moreover, the energy spectrum and the intensity of produced particles are worked out in greatest detail in the limit of weak coupling or small amplitude perturbation. In the case of strong coupling or large amplitude perturbation the leading adiabatic formula is derived. Application to cosmological fate of weakly interacting spinless fields (WISF) such as the invisible axion, the Polonyi, and the modular fields is discussed. Although very little effect is expected on the invisible axion, the Polonyi type field has a chance that it catastrophically decays at an early epoch without much production of entropy, provided that an intrinsic coupling is large enough.
| 14.30754
| 17.174969
| 14.886336
| 14.642019
| 15.672022
| 15.797501
| 16.267586
| 15.488506
| 14.553762
| 15.877152
| 15.368088
| 14.770722
| 14.029482
| 14.047452
| 14.371666
| 14.269045
| 14.576362
| 14.4624
| 14.020678
| 14.27723
| 14.539331
|
2011.07071
|
Damian Van De Heisteeg
|
Christopher Couzens, Eric Marcus, Koen Stemerdink, Damian van de
Heisteeg
|
The Near-Horizon Geometry of Supersymmetric Rotating AdS$_4$ Black Holes
in M-theory
|
31 pages plus appendix
| null |
10.1007/JHEP05(2021)194
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We classify the necessary and sufficient conditions to obtain the
near-horizon geometry of extremal supersymmetric rotating black holes embedded
in 11d supergravity. Such rotating black holes admit an AdS$_2$ near-horizon
geometry which is fibered by the transverse spacetime directions. Despite their
clear interest to understanding the entropy of rotating black holes, these
solutions have evaded all previous supersymmetric classification programs due
to the non-trivial fibration structure. In this paper we allow for the most
general fibration over AdS$_2$ with a flux configuration permitting rotating
M2-branes. Using G-structure techniques we rewrite the conditions for
supersymmetry in terms of differential equations on an eight-dimensional
balanced space. The 9d compact internal space is a U$(1)$-fibration over this
8d base. The geometry is constrained by a master equation reminiscent of the
one found in the non-rotating case. We give a Lagrangian from which the
equations of motion may be derived, and show how the asymptotically AdS$_4$
electrically charged Kerr-Newman black hole in 4d $\mathcal{N}=2$ supergravity
is embedded in the classification. In addition, we present the conditions for
the near-horizon geometry of rotating black strings in Type IIB by using
dualities with the 11d setup.
|
[
{
"created": "Fri, 13 Nov 2020 19:00:00 GMT",
"version": "v1"
}
] |
2023-01-11
|
[
[
"Couzens",
"Christopher",
""
],
[
"Marcus",
"Eric",
""
],
[
"Stemerdink",
"Koen",
""
],
[
"van de Heisteeg",
"Damian",
""
]
] |
We classify the necessary and sufficient conditions to obtain the near-horizon geometry of extremal supersymmetric rotating black holes embedded in 11d supergravity. Such rotating black holes admit an AdS$_2$ near-horizon geometry which is fibered by the transverse spacetime directions. Despite their clear interest to understanding the entropy of rotating black holes, these solutions have evaded all previous supersymmetric classification programs due to the non-trivial fibration structure. In this paper we allow for the most general fibration over AdS$_2$ with a flux configuration permitting rotating M2-branes. Using G-structure techniques we rewrite the conditions for supersymmetry in terms of differential equations on an eight-dimensional balanced space. The 9d compact internal space is a U$(1)$-fibration over this 8d base. The geometry is constrained by a master equation reminiscent of the one found in the non-rotating case. We give a Lagrangian from which the equations of motion may be derived, and show how the asymptotically AdS$_4$ electrically charged Kerr-Newman black hole in 4d $\mathcal{N}=2$ supergravity is embedded in the classification. In addition, we present the conditions for the near-horizon geometry of rotating black strings in Type IIB by using dualities with the 11d setup.
| 8.444599
| 8.525188
| 9.747605
| 8.142895
| 8.507967
| 8.131738
| 8.389801
| 7.991045
| 8.374374
| 9.921194
| 8.315446
| 8.190701
| 8.47685
| 8.036366
| 8.145561
| 8.241885
| 8.045984
| 8.201641
| 8.06135
| 8.242048
| 8.036325
|
hep-th/0402175
|
Yue-Liang Wu
|
Yue-Liang Wu (ITP, Cas)
|
Conformal Scaling Gauge Symmetry and Inflationary Universe
|
12 pages, RevTex, no figures
|
Int.J.Mod.Phys. A20 (2005) 811-820
|
10.1142/S0217751X0502080X
| null |
hep-th
| null |
Considering the conformal scaling gauge symmetry as a fundamental symmetry of
nature in the presence of gravity, a scalar field is required and used to
describe the scale behavior of universe. In order for the scalar field to be a
physical field, a gauge field is necessary to be introduced. A gauge invariant
potential action is constructed by adopting the scalar field and a real
Wilson-like line element of the gauge field. Of particular, the conformal
scaling gauge symmetry can be broken down explicitly via fixing gauge to match
the Einstein-Hilbert action of gravity. As a nontrivial background field
solution of pure gauge has a minimal energy in gauge interactions, the
evolution of universe is then dominated at earlier time by the potential energy
of background field characterized by a scalar field. Since the background field
of pure gauge leads to an exponential potential model of a scalar field, the
universe is driven by a power-law inflation with the scale factor $a(t) \sim
t^p$. The power-law index $p$ is determined by a basic gauge fixing parameter
$g_F$ via $p = 16\pi g_F^2[1 + 3/(4\pi g_F^2) ]$. For the gauge fixing scale
being the Planck mass, we are led to a predictive model with $g_F=1$ and
$p\simeq 62$.
|
[
{
"created": "Mon, 23 Feb 2004 02:15:15 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Wu",
"Yue-Liang",
"",
"ITP, Cas"
]
] |
Considering the conformal scaling gauge symmetry as a fundamental symmetry of nature in the presence of gravity, a scalar field is required and used to describe the scale behavior of universe. In order for the scalar field to be a physical field, a gauge field is necessary to be introduced. A gauge invariant potential action is constructed by adopting the scalar field and a real Wilson-like line element of the gauge field. Of particular, the conformal scaling gauge symmetry can be broken down explicitly via fixing gauge to match the Einstein-Hilbert action of gravity. As a nontrivial background field solution of pure gauge has a minimal energy in gauge interactions, the evolution of universe is then dominated at earlier time by the potential energy of background field characterized by a scalar field. Since the background field of pure gauge leads to an exponential potential model of a scalar field, the universe is driven by a power-law inflation with the scale factor $a(t) \sim t^p$. The power-law index $p$ is determined by a basic gauge fixing parameter $g_F$ via $p = 16\pi g_F^2[1 + 3/(4\pi g_F^2) ]$. For the gauge fixing scale being the Planck mass, we are led to a predictive model with $g_F=1$ and $p\simeq 62$.
| 11.839523
| 12.223202
| 11.520858
| 10.8788
| 12.878225
| 11.613732
| 12.861576
| 11.286054
| 11.358699
| 12.271292
| 12.155297
| 11.500484
| 11.433425
| 11.273753
| 11.479578
| 11.494869
| 11.498751
| 11.343644
| 11.233786
| 11.356603
| 11.577477
|
2012.09354
|
Francisco Tello Ortiz
|
Alvaro Restuccia and Francisco Tello-Ortiz
|
Gravitational-gauge vector interaction in the Ho\v{r}ava-Lifshitz
framework
| null | null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
An anisotropic model describing gravity--vector gauge coupling at all energy
scales is presented. The starting point is the 4+1 dimensional non--projectable
Ho\v{r}ava--Lifshitz gravity theory subject to a geometrical restriction.
Renormalizability arguments require all possible interactions in the potential
up to terms with $z=4$ spatial derivatives on the geometrical tensor fields:
the Riemann and Weyl tensors. The latter being necessary on a 4+1 dimensional
formulation. The dimensional reduction to 3+1 dimensions give rise to a model
invariant under {foliation--preserving diffeomorphisms} (FDiff) and $U(1)$
symmetry groups. The reduced theory on the {kinetic conformal} (KC) point
($\lambda =1/3$), propagates the same spectrum of the Einstein--Maxwell theory.
Moreover, at low energies, on the IR point $\alpha=0$, $\beta=1$, its field
equations are exactly the Einstein--Maxwell ones in a particular gauge
condition. The Minkowski ground state is stable provided several restrictions
on the coupling parameters are satisfied, they are explicitly obtained. The
quantum propagators of the physical degrees of freedom are obtained and after
an analysis of the first and second class constraints the renormalizability by
power counting is proved, provided that the aforementioned restrictions on the
coupling parameters are satisfied.
|
[
{
"created": "Thu, 17 Dec 2020 02:01:16 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Jan 2023 23:20:26 GMT",
"version": "v2"
}
] |
2023-01-23
|
[
[
"Restuccia",
"Alvaro",
""
],
[
"Tello-Ortiz",
"Francisco",
""
]
] |
An anisotropic model describing gravity--vector gauge coupling at all energy scales is presented. The starting point is the 4+1 dimensional non--projectable Ho\v{r}ava--Lifshitz gravity theory subject to a geometrical restriction. Renormalizability arguments require all possible interactions in the potential up to terms with $z=4$ spatial derivatives on the geometrical tensor fields: the Riemann and Weyl tensors. The latter being necessary on a 4+1 dimensional formulation. The dimensional reduction to 3+1 dimensions give rise to a model invariant under {foliation--preserving diffeomorphisms} (FDiff) and $U(1)$ symmetry groups. The reduced theory on the {kinetic conformal} (KC) point ($\lambda =1/3$), propagates the same spectrum of the Einstein--Maxwell theory. Moreover, at low energies, on the IR point $\alpha=0$, $\beta=1$, its field equations are exactly the Einstein--Maxwell ones in a particular gauge condition. The Minkowski ground state is stable provided several restrictions on the coupling parameters are satisfied, they are explicitly obtained. The quantum propagators of the physical degrees of freedom are obtained and after an analysis of the first and second class constraints the renormalizability by power counting is proved, provided that the aforementioned restrictions on the coupling parameters are satisfied.
| 11.302409
| 10.367189
| 12.436698
| 11.320781
| 11.495991
| 11.32793
| 10.905638
| 10.59891
| 10.716576
| 12.916641
| 10.897533
| 10.368138
| 11.301804
| 10.952381
| 10.928998
| 11.021935
| 11.105557
| 10.84042
| 10.677658
| 11.556635
| 10.635036
|
hep-th/0204174
|
Mohammad Sheikh-Jabbari
|
Mohsen Alishahiha, Mohammad M. Sheikh-Jabbari
|
Strings in PP-Waves and Worldsheet Deconstruction
|
Latex file, 15 pages, no figures. v2: a reference added
|
Phys.Lett.B538:180-188,2002
|
10.1016/S0370-2693(02)01994-9
|
IPM/P-2002/012, SU-ITP-2/13
|
hep-th
| null |
Based on the observation that $AdS_5\times S^5/Z_k$ orbifolds have a maximal
supersymmetric PP-wave limit, the description of strings in PP-waves in terms
of ${\cal N}=2$ quiver gauge theories is presented. We consider two different,
small and large $k$, cases and show that the operators in the gauge theory
which correspond to stringy excitations are labelled by two integers, the
excitation and winding or momentum numbers. For the large $k$ case, the
relation between the space-time and worldsheet deconstructions is discussed. We
also comment on the possible duality between these two cases.
|
[
{
"created": "Sun, 21 Apr 2002 20:46:35 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Apr 2002 23:21:10 GMT",
"version": "v2"
}
] |
2009-10-07
|
[
[
"Alishahiha",
"Mohsen",
""
],
[
"Sheikh-Jabbari",
"Mohammad M.",
""
]
] |
Based on the observation that $AdS_5\times S^5/Z_k$ orbifolds have a maximal supersymmetric PP-wave limit, the description of strings in PP-waves in terms of ${\cal N}=2$ quiver gauge theories is presented. We consider two different, small and large $k$, cases and show that the operators in the gauge theory which correspond to stringy excitations are labelled by two integers, the excitation and winding or momentum numbers. For the large $k$ case, the relation between the space-time and worldsheet deconstructions is discussed. We also comment on the possible duality between these two cases.
| 8.16964
| 7.141152
| 8.998029
| 6.979742
| 7.185375
| 7.042989
| 7.784276
| 7.233285
| 6.970268
| 8.922323
| 7.155854
| 6.893902
| 8.044533
| 7.049938
| 7.326914
| 7.291393
| 7.104775
| 7.100172
| 6.995533
| 7.808322
| 6.976201
|
hep-th/0311048
|
Mikhail Altaisky
|
M.V.Altaisky
|
Wavelet based regularization for Euclidean field theory and stochastic
quantization
|
LaTeX, 12 pages; 2 eps figures; To appear in "Progress in Field
Theory Research" by Nova Science Publishers, Inc
| null | null | null |
hep-th
| null |
It is shown that Euclidean field theory with polynomial interaction, can be
regularized using the wavelet representation of the fields. The connections
between wavelet based regularization and stochastic quantization are considered
with $\phi^3$ field theory taken as an example.
|
[
{
"created": "Thu, 6 Nov 2003 11:22:29 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Altaisky",
"M. V.",
""
]
] |
It is shown that Euclidean field theory with polynomial interaction, can be regularized using the wavelet representation of the fields. The connections between wavelet based regularization and stochastic quantization are considered with $\phi^3$ field theory taken as an example.
| 14.802172
| 12.408901
| 12.820127
| 11.817941
| 12.075824
| 10.885534
| 12.103201
| 11.70253
| 11.600942
| 11.798226
| 11.352894
| 11.852719
| 12.75276
| 12.08874
| 11.820289
| 12.224252
| 11.843708
| 11.327482
| 12.119727
| 12.811584
| 11.371521
|
hep-th/9703124
|
Mees de Roo
|
M. de Roo
|
Intersecting branes and Supersymmetry
|
6 pages, Latex, Presented at Supersymmetry and Quantum Field Theory,
International Seminar dedicated to the memory of D. V. Volkov, Kharkov, 1997
| null |
10.1007/BFb0105225
| null |
hep-th
| null |
We consider intersecting M-brane solutions of supergravity in eleven
dimensions. Supersymmetry turns out to be a powerful tool in obtaining such
solutions and their generalizations.
|
[
{
"created": "Tue, 18 Mar 1997 08:57:39 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"de Roo",
"M.",
""
]
] |
We consider intersecting M-brane solutions of supergravity in eleven dimensions. Supersymmetry turns out to be a powerful tool in obtaining such solutions and their generalizations.
| 9.727913
| 6.637045
| 11.393881
| 6.770544
| 6.990253
| 7.007253
| 7.211512
| 7.222172
| 6.906772
| 7.981905
| 6.864977
| 7.901918
| 8.762823
| 8.10439
| 7.996311
| 8.392203
| 8.055779
| 7.788532
| 7.47938
| 8.441416
| 7.687702
|
2202.05490
|
Dirk Kreimer
|
Dirk Kreimer
|
Bananas: multi-edge graphs and their Feynman integrals
|
43 pages, 7 figures, minor corrections
|
Lett Math Phys 113, 38 (2023)
|
10.1007/s11005-023-01660-4
|
MaPhy-AvH/2022-01
|
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We consider multi-edge or banana graphs $b_n$ on $n$ internal edges $e_i$
with different masses $m_i$. We focus on the cut banana graphs
$\Im(\Phi_R(b_n))$ from which the full result $\Phi_R(b_n)$ can be derived
through dispersion. We give a recursive definition of $\Im(\Phi_R(b_n))$
through iterated integrals. We discuss the structure of this iterated integral
in detail. A discussion of accompanying differential equations, of monodromy
and of a basis of master integrals is included.
|
[
{
"created": "Fri, 11 Feb 2022 08:02:32 GMT",
"version": "v1"
},
{
"created": "Sat, 18 Jun 2022 10:08:24 GMT",
"version": "v2"
}
] |
2023-04-04
|
[
[
"Kreimer",
"Dirk",
""
]
] |
We consider multi-edge or banana graphs $b_n$ on $n$ internal edges $e_i$ with different masses $m_i$. We focus on the cut banana graphs $\Im(\Phi_R(b_n))$ from which the full result $\Phi_R(b_n)$ can be derived through dispersion. We give a recursive definition of $\Im(\Phi_R(b_n))$ through iterated integrals. We discuss the structure of this iterated integral in detail. A discussion of accompanying differential equations, of monodromy and of a basis of master integrals is included.
| 18.784302
| 15.128486
| 13.109186
| 12.446038
| 13.661619
| 13.258408
| 14.276654
| 15.081051
| 12.035952
| 14.910252
| 14.78317
| 12.660655
| 12.801669
| 12.515347
| 12.387431
| 12.761258
| 13.068898
| 13.547379
| 12.532219
| 12.760979
| 14.029659
|
hep-th/0607025
|
Giuseppe Mussardo
|
Giuseppe Mussardo
|
Neutral Bound States in Kink-like Theories
|
68 pages, 30 figures
|
Nucl.Phys.B779:101-154,2007
|
10.1016/j.nuclphysb.2007.03.053
| null |
hep-th cond-mat.other hep-lat
| null |
In this paper we present an elementary derivation of the semi-classical
spectrum of neutral particles in a field theory with kink excitations. In the
non-integrable cases, we show that each vacuum state cannot generically support
more than two stable particles, since all other neutral exitations are
resonances, which will eventually decay. A phase space estimate of these decay
rates is also given. This shows that there may be a window of values of the
coupling constant where a particle with higher mass is more stable than the one
with lower mass. We also discuss the crossing symmetry properties of the
semiclassical form factors and the possibility of extracting the elastic part
of the kink $S$-matrix below their inelastic threshold. We present the analysis
of theories with symmetric and asymmetric wells, as well as of those with
symmetric or asymmetric kinks. Illustrative examples of such theories are
provided, among others, by the Tricritical Ising Ising, the Double Sine Gordon
model and by a class of potentials recently introduced by Bazeira et al.
|
[
{
"created": "Wed, 5 Jul 2006 14:13:26 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Mussardo",
"Giuseppe",
""
]
] |
In this paper we present an elementary derivation of the semi-classical spectrum of neutral particles in a field theory with kink excitations. In the non-integrable cases, we show that each vacuum state cannot generically support more than two stable particles, since all other neutral exitations are resonances, which will eventually decay. A phase space estimate of these decay rates is also given. This shows that there may be a window of values of the coupling constant where a particle with higher mass is more stable than the one with lower mass. We also discuss the crossing symmetry properties of the semiclassical form factors and the possibility of extracting the elastic part of the kink $S$-matrix below their inelastic threshold. We present the analysis of theories with symmetric and asymmetric wells, as well as of those with symmetric or asymmetric kinks. Illustrative examples of such theories are provided, among others, by the Tricritical Ising Ising, the Double Sine Gordon model and by a class of potentials recently introduced by Bazeira et al.
| 13.125829
| 12.414122
| 13.854081
| 11.910679
| 12.432983
| 12.367179
| 12.053489
| 11.938193
| 12.269069
| 14.054883
| 11.363637
| 11.998936
| 13.095041
| 12.685298
| 12.523276
| 12.038291
| 12.392681
| 12.52391
| 12.554203
| 13.589262
| 12.143859
|
0711.1870
|
Takuya Okuda
|
Nick Halmagyi (EFI, U. Chicago) and Takuya Okuda (KITP, UC Santa
Barbara)
|
Bubbling Calabi-Yau geometry from matrix models
|
30 pages; v.2 reference added, minor corrections
|
JHEP0803:028,2008
|
10.1088/1126-6708/2008/03/028
|
EFI-07-32, NSF-KITP-07-192
|
hep-th
| null |
We study bubbling geometry in topological string theory. Specifically, we
analyse Chern-Simons theory on both the 3-sphere and lens spaces in the
presence of a Wilson loop insertion of an arbitrary representation. For each of
these three manifolds we formulate a multi-matrix model whose partition
function is the vev of the Wilson loop and compute the spectral curve. This
spectral curve is the reduction to two dimensions of the mirror to a Calabi-Yau
threefold which is the gravitational dual of the Wilson loop insertion. For
lens spaces the dual geometries are new. We comment on a similar matrix model
which appears in the context of Wilson loops in AdS/CFT.
|
[
{
"created": "Mon, 12 Nov 2007 21:34:47 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Feb 2008 09:02:21 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Halmagyi",
"Nick",
"",
"EFI, U. Chicago"
],
[
"Okuda",
"Takuya",
"",
"KITP, UC Santa\n Barbara"
]
] |
We study bubbling geometry in topological string theory. Specifically, we analyse Chern-Simons theory on both the 3-sphere and lens spaces in the presence of a Wilson loop insertion of an arbitrary representation. For each of these three manifolds we formulate a multi-matrix model whose partition function is the vev of the Wilson loop and compute the spectral curve. This spectral curve is the reduction to two dimensions of the mirror to a Calabi-Yau threefold which is the gravitational dual of the Wilson loop insertion. For lens spaces the dual geometries are new. We comment on a similar matrix model which appears in the context of Wilson loops in AdS/CFT.
| 8.308914
| 7.424206
| 8.956094
| 7.125143
| 7.480208
| 7.223296
| 8.168422
| 7.640717
| 7.262322
| 9.264441
| 7.297621
| 7.034077
| 7.644869
| 7.088324
| 7.282111
| 7.089345
| 7.080521
| 7.121135
| 7.235868
| 8.203773
| 7.322189
|
hep-th/0406218
|
Aaron Bergman
|
Aaron Bergman and Uday Varadarajan
|
Loop Groups, Kaluza-Klein Reduction and M-Theory
|
26 pages, LaTeX, utarticle.cls, v2:clarifications and refs added
|
JHEP0506:043,2005
|
10.1088/1126-6708/2005/06/043
|
UTTG-06-04
|
hep-th
| null |
We show that the data of a principal G-bundle over a principal circle bundle
is equivalent to that of a \hat{LG} = U(1) |x LG bundle over the base of the
circle bundle. We apply this to the Kaluza-Klein reduction of M-theory to IIA
and show that certain generalized characteristic classes of the loop group
bundle encode the Bianchi identities of the antisymmetric tensor fields of IIA
supergravity. We further show that the low dimensional characteristic classes
of the central extension of the loop group encode the Bianchi identities of
massive IIA, thereby adding support to the conjectures of hep-th/0203218.
|
[
{
"created": "Thu, 24 Jun 2004 05:51:05 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Jul 2004 20:31:54 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Bergman",
"Aaron",
""
],
[
"Varadarajan",
"Uday",
""
]
] |
We show that the data of a principal G-bundle over a principal circle bundle is equivalent to that of a \hat{LG} = U(1) |x LG bundle over the base of the circle bundle. We apply this to the Kaluza-Klein reduction of M-theory to IIA and show that certain generalized characteristic classes of the loop group bundle encode the Bianchi identities of the antisymmetric tensor fields of IIA supergravity. We further show that the low dimensional characteristic classes of the central extension of the loop group encode the Bianchi identities of massive IIA, thereby adding support to the conjectures of hep-th/0203218.
| 8.94357
| 8.911077
| 10.528312
| 9.306456
| 8.526321
| 9.266501
| 8.947734
| 8.707966
| 9.002106
| 12.922879
| 8.493832
| 8.58739
| 9.828403
| 9.259556
| 8.680158
| 8.500786
| 8.826198
| 8.510967
| 8.873918
| 10.362417
| 8.408605
|
1309.0146
|
Tarek Anous
|
Dionysios Anninos, Tarek Anous, Frederik Denef, Lucas Peeters
|
Holographic Vitrification
|
100 pages, 25 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We establish the existence of stable and metastable stationary black hole
bound states at finite temperature and chemical potentials in global and planar
four-dimensional asymptotically anti-de Sitter space. We determine a number of
features of their holographic duals and argue they represent structural
glasses. We map out their thermodynamic landscape in the probe approximation,
and show their relaxation dynamics exhibits logarithmic aging, with aging rates
determined by the distribution of barriers.
|
[
{
"created": "Sat, 31 Aug 2013 19:13:30 GMT",
"version": "v1"
}
] |
2013-09-03
|
[
[
"Anninos",
"Dionysios",
""
],
[
"Anous",
"Tarek",
""
],
[
"Denef",
"Frederik",
""
],
[
"Peeters",
"Lucas",
""
]
] |
We establish the existence of stable and metastable stationary black hole bound states at finite temperature and chemical potentials in global and planar four-dimensional asymptotically anti-de Sitter space. We determine a number of features of their holographic duals and argue they represent structural glasses. We map out their thermodynamic landscape in the probe approximation, and show their relaxation dynamics exhibits logarithmic aging, with aging rates determined by the distribution of barriers.
| 17.073154
| 14.724277
| 17.749588
| 14.81709
| 15.942475
| 16.247833
| 15.468225
| 15.849494
| 13.615692
| 17.762907
| 14.758736
| 14.144288
| 15.923903
| 13.997822
| 14.015645
| 14.616571
| 14.234869
| 14.385543
| 14.505489
| 16.608963
| 14.109997
|
hep-th/0311113
|
Alexandre C. Tort
|
D Pinheiro, F C Santos, and A. C. Tort
|
An alternative calculation of the Casimir energy for kappa-deformed
electrodynamics
|
Four pages, latex file. Submitted for the Proceedings of the XXIV
Brazilian National Meeting on Particles and Fields held in Caxambu MG,
Brazil, September 30 -- October 4, 2003
| null | null | null |
hep-th
| null |
A simple, but effcient way of calculating regularized Casimir energies
suitable for non-trivial frequency spectra is briefly described and applied to
the case of a kappa-deformed scalar field theory. The results are consistent
with the ones obtained by other means.
|
[
{
"created": "Thu, 13 Nov 2003 19:43:19 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Pinheiro",
"D",
""
],
[
"Santos",
"F C",
""
],
[
"Tort",
"A. C.",
""
]
] |
A simple, but effcient way of calculating regularized Casimir energies suitable for non-trivial frequency spectra is briefly described and applied to the case of a kappa-deformed scalar field theory. The results are consistent with the ones obtained by other means.
| 17.700031
| 14.364031
| 14.702021
| 12.237587
| 13.253194
| 13.940155
| 14.641414
| 12.327908
| 13.68029
| 15.783743
| 13.19739
| 13.728336
| 14.085191
| 13.21736
| 13.176783
| 13.325144
| 13.281948
| 13.345524
| 13.148618
| 13.757462
| 12.845442
|
1906.12252
|
Carlos Mafra
|
Elliot Bridges and Carlos R. Mafra
|
Algorithmic construction of SYM multiparticle superfields in the BCJ
gauge
|
43 pages
| null |
10.1007/JHEP10(2019)022
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We write down closed formulas for all necessary steps to obtain multiparticle
super Yang--Mills superfields in the so-called BCJ gauge. The superfields in
this gauge have obvious applications in the quest for finding BCJ-satisfying
representations of amplitudes. As a benefit of having these closed formulas, we
identify the explicit finite gauge transformation responsible for attaining the
BCJ gauge. To do this, several combinatorial maps on words are introduced and
associated identities rigorously proven.
|
[
{
"created": "Fri, 28 Jun 2019 14:58:06 GMT",
"version": "v1"
}
] |
2019-10-23
|
[
[
"Bridges",
"Elliot",
""
],
[
"Mafra",
"Carlos R.",
""
]
] |
We write down closed formulas for all necessary steps to obtain multiparticle super Yang--Mills superfields in the so-called BCJ gauge. The superfields in this gauge have obvious applications in the quest for finding BCJ-satisfying representations of amplitudes. As a benefit of having these closed formulas, we identify the explicit finite gauge transformation responsible for attaining the BCJ gauge. To do this, several combinatorial maps on words are introduced and associated identities rigorously proven.
| 20.943935
| 19.250502
| 22.673557
| 19.576893
| 21.638128
| 22.17964
| 19.81776
| 18.778982
| 19.279329
| 24.602364
| 18.026056
| 19.956942
| 20.764832
| 19.340519
| 20.433514
| 19.649818
| 20.04845
| 19.310192
| 19.67366
| 19.741335
| 19.132456
|
1702.03497
|
Yu-Xiao Liu
|
Feng-Wei Chen, Bao-Min Gu, Yu-Xiao Liu
|
Stability of braneworlds with non-minimally coupled multi-scalar fields
|
13 pages, 3 figures
|
Eur.Phys.J. C78 (2018) 131
|
10.1140/epjc/s10052-018-5613-7
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Linear stability of braneworld models constructed with multi-scalar fields is
very different from that of single-scalar field models. It is well known that
both the tensor and scalar perturbation equations of the later can always be
written as a supersymmetric Schr\"{o}dinger equation, so it can be shown that
the perturbations are stable at linear level. However, in general it is not
true for multi-scalar field models and especially there is no effective method
to deal with the stability problem of the scalar perturbations for braneworld
models constructed with non-minimally coupled multi-scalar fields. In this
paper we present a method to investigate the stability of such braneworld
models. It is easy to find that the tensor perturbations are stable. For the
stability problem of the scalar perturbations, we present a systematic
covariant approach. The covariant quadratic order action and the corresponding
first-order perturbed equations are derived. By introducing the orthonormal
bases in field space and making the Kaluza-Klein decomposition, we show that
the Kaluza-Klein modes of the scalar perturbations satisfy a set of coupled
Schr\"{o}dinger-like equations, with which the stability of the scalar
perturbations and localization of the scalar zero modes can be analyzed
according to nodal theorem. The result depends on the explicit models. For
superpotential derived barane models, the scalar perturbations are stable, but
there exist normalizable scalar zero modes, which will result in unaccepted
fifth force on the brane. We also use this method to analyze the $f(R)$
braneworld model with an explicit solution and find that the scalar
perturbations are stable and the scalar zero modes can not be localized on the
brane, which ensure that there is no extra long-range force and the Newtonian
potential on the brane can be recovered.
|
[
{
"created": "Sun, 12 Feb 2017 07:25:57 GMT",
"version": "v1"
},
{
"created": "Sat, 17 Jun 2017 16:30:46 GMT",
"version": "v2"
},
{
"created": "Sun, 25 Feb 2018 07:51:31 GMT",
"version": "v3"
}
] |
2018-02-27
|
[
[
"Chen",
"Feng-Wei",
""
],
[
"Gu",
"Bao-Min",
""
],
[
"Liu",
"Yu-Xiao",
""
]
] |
Linear stability of braneworld models constructed with multi-scalar fields is very different from that of single-scalar field models. It is well known that both the tensor and scalar perturbation equations of the later can always be written as a supersymmetric Schr\"{o}dinger equation, so it can be shown that the perturbations are stable at linear level. However, in general it is not true for multi-scalar field models and especially there is no effective method to deal with the stability problem of the scalar perturbations for braneworld models constructed with non-minimally coupled multi-scalar fields. In this paper we present a method to investigate the stability of such braneworld models. It is easy to find that the tensor perturbations are stable. For the stability problem of the scalar perturbations, we present a systematic covariant approach. The covariant quadratic order action and the corresponding first-order perturbed equations are derived. By introducing the orthonormal bases in field space and making the Kaluza-Klein decomposition, we show that the Kaluza-Klein modes of the scalar perturbations satisfy a set of coupled Schr\"{o}dinger-like equations, with which the stability of the scalar perturbations and localization of the scalar zero modes can be analyzed according to nodal theorem. The result depends on the explicit models. For superpotential derived barane models, the scalar perturbations are stable, but there exist normalizable scalar zero modes, which will result in unaccepted fifth force on the brane. We also use this method to analyze the $f(R)$ braneworld model with an explicit solution and find that the scalar perturbations are stable and the scalar zero modes can not be localized on the brane, which ensure that there is no extra long-range force and the Newtonian potential on the brane can be recovered.
| 5.767403
| 5.936878
| 6.009596
| 5.68308
| 6.102497
| 6.040192
| 6.055084
| 5.816287
| 5.772401
| 6.196265
| 5.534893
| 5.754644
| 5.927648
| 5.724908
| 5.760334
| 5.712216
| 5.615099
| 5.705959
| 5.59598
| 5.732525
| 5.61665
|
hep-th/0412332
|
Gregory Gabadadze
|
Gregory Gabadadze and Luca Grisa
|
Lorentz-violating massive gauge and gravitational fields
|
14 LaTex pages, 3 refs with comments added; PLB version
|
Phys.Lett.B617:124-132,2005
|
10.1016/j.physletb.2005.04.064
|
NYU-TH-04/12/13
|
hep-th
| null |
We study nonlinear dynamics in models of Lorentz-violating massive gravity.
The Boulware-Deser instability restricts severely the class of acceptable
theories. We identify a model that is stable. It exhibits the following bizarre
but interesting property: there are only two massive propagating degrees of
freedom in the spectrum, and yet long-range instantaneous interactions are
present in the theory. We discuss this property on a simpler example of a
photon with a Lorentz-violating mass term where the issues of (a)causality are
easier to understand. Depending on the values of the mass parameter these
models can either be excluded, or become phenomenologically interesting. We
discuss a similar example with more degrees of freedom, as well as a model
without the long-range instantaneous interactions.
|
[
{
"created": "Fri, 31 Dec 2004 17:57:23 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Apr 2005 19:20:20 GMT",
"version": "v2"
}
] |
2011-07-19
|
[
[
"Gabadadze",
"Gregory",
""
],
[
"Grisa",
"Luca",
""
]
] |
We study nonlinear dynamics in models of Lorentz-violating massive gravity. The Boulware-Deser instability restricts severely the class of acceptable theories. We identify a model that is stable. It exhibits the following bizarre but interesting property: there are only two massive propagating degrees of freedom in the spectrum, and yet long-range instantaneous interactions are present in the theory. We discuss this property on a simpler example of a photon with a Lorentz-violating mass term where the issues of (a)causality are easier to understand. Depending on the values of the mass parameter these models can either be excluded, or become phenomenologically interesting. We discuss a similar example with more degrees of freedom, as well as a model without the long-range instantaneous interactions.
| 12.35446
| 10.901205
| 12.253667
| 10.905773
| 11.014075
| 11.235181
| 11.491472
| 12.240204
| 11.193682
| 12.309276
| 10.888618
| 10.977532
| 11.473075
| 11.482563
| 10.960724
| 11.089561
| 10.914576
| 11.521143
| 11.393571
| 11.704578
| 11.181372
|
2106.10576
|
Surjeet Rajendran
|
David E. Kaplan and Surjeet Rajendran
|
A Causal Framework for Non-Linear Quantum Mechanics
|
22 pages, 0 figures, Journal Version
|
Phys Rev D 105 055002 (2022)
|
10.1103/PhysRevD.105.055002
| null |
hep-th gr-qc hep-ph quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We add non-linear and state-dependent terms to quantum field theory. We show
that the resulting low-energy theory, non-linear quantum mechanics, is causal,
preserves probability and permits a consistent description of the process of
measurement. We explore the consequences of such terms and show that non-linear
quantum effects can be observed in macroscopic systems even in the presence of
de-coherence. We find that current experimental bounds on these non-linearities
are weak and propose several experimental methods to significantly probe these
effects. The locally exploitable effects of these non-linearities have enormous
technological implications. For example, they would allow large scale
parallelization of computing (in fact, any other effort) and enable quantum
sensing beyond the standard quantum limit. We also expose a fundamental
vulnerability of any non-linear modification of quantum mechanics - these
modifications are highly sensitive to cosmic history and their locally
exploitable effects can dynamically disappear if the observed universe has a
tiny overlap with the overall quantum state of the universe, as is predicted in
conventional inflationary cosmology. We identify observables that persist in
this case and discuss opportunities to detect them in cosmic ray experiments,
tests of strong field general relativity and current probes of the equation of
state of the universe. Non-linear quantum mechanics also enables novel
gravitational phenomena and may open new directions to solve the black hole
information problem and uncover the theory underlying quantum field theory and
gravitation.
|
[
{
"created": "Sat, 19 Jun 2021 21:52:27 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Mar 2022 13:50:55 GMT",
"version": "v2"
}
] |
2022-03-10
|
[
[
"Kaplan",
"David E.",
""
],
[
"Rajendran",
"Surjeet",
""
]
] |
We add non-linear and state-dependent terms to quantum field theory. We show that the resulting low-energy theory, non-linear quantum mechanics, is causal, preserves probability and permits a consistent description of the process of measurement. We explore the consequences of such terms and show that non-linear quantum effects can be observed in macroscopic systems even in the presence of de-coherence. We find that current experimental bounds on these non-linearities are weak and propose several experimental methods to significantly probe these effects. The locally exploitable effects of these non-linearities have enormous technological implications. For example, they would allow large scale parallelization of computing (in fact, any other effort) and enable quantum sensing beyond the standard quantum limit. We also expose a fundamental vulnerability of any non-linear modification of quantum mechanics - these modifications are highly sensitive to cosmic history and their locally exploitable effects can dynamically disappear if the observed universe has a tiny overlap with the overall quantum state of the universe, as is predicted in conventional inflationary cosmology. We identify observables that persist in this case and discuss opportunities to detect them in cosmic ray experiments, tests of strong field general relativity and current probes of the equation of state of the universe. Non-linear quantum mechanics also enables novel gravitational phenomena and may open new directions to solve the black hole information problem and uncover the theory underlying quantum field theory and gravitation.
| 14.657148
| 17.490353
| 15.496227
| 14.615821
| 16.460148
| 17.282955
| 17.010132
| 15.759305
| 15.32335
| 16.939672
| 15.357726
| 14.639977
| 14.453935
| 14.535041
| 14.451316
| 14.212961
| 14.493714
| 14.797688
| 13.982052
| 14.369936
| 14.2676
|
hep-th/0606274
|
Mariano Cadoni
|
Mariano Cadoni
|
Conformal symmetry of gravity and the cosmological constant problem
|
Some references have been added. Some points have been clarified
|
Phys.Lett. B642 (2006) 525-529
|
10.1016/j.physletb.2006.10.009
| null |
hep-th astro-ph gr-qc
| null |
In absence of matter Einstein gravity with a cosmological constant $\La$ can
be formulated as a scale-free theory depending only on the dimensionless
coupling constant G \Lambda where G is Newton constant. We derive the conformal
field theory (CFT) and its improved stress-energy tensor that describe the
dynamics of conformally flat perturbations of the metric. The CFT has the form
of a constrained \lambda \phi^{4} field theory. In the cosmological framework
the model describes the usual Friedmann-Robertson-Walker flat universe. The
conformal symmetry of the gravity sector is broken by coupling with matter. The
dimensional coupling constants G and \Lambda are introduced by different terms
in this coupling. If the vacuum of quantum matter fields respects the symmetry
of the gravity sector, the vacuum energy has to be zero and the ``physical''
cosmological constant is generated by the coupling of gravity with matter. This
could explain the tiny value of the observed energy density driving the
accelerating expansion of the universe.
|
[
{
"created": "Thu, 29 Jun 2006 13:52:15 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Sep 2006 14:58:33 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Cadoni",
"Mariano",
""
]
] |
In absence of matter Einstein gravity with a cosmological constant $\La$ can be formulated as a scale-free theory depending only on the dimensionless coupling constant G \Lambda where G is Newton constant. We derive the conformal field theory (CFT) and its improved stress-energy tensor that describe the dynamics of conformally flat perturbations of the metric. The CFT has the form of a constrained \lambda \phi^{4} field theory. In the cosmological framework the model describes the usual Friedmann-Robertson-Walker flat universe. The conformal symmetry of the gravity sector is broken by coupling with matter. The dimensional coupling constants G and \Lambda are introduced by different terms in this coupling. If the vacuum of quantum matter fields respects the symmetry of the gravity sector, the vacuum energy has to be zero and the ``physical'' cosmological constant is generated by the coupling of gravity with matter. This could explain the tiny value of the observed energy density driving the accelerating expansion of the universe.
| 9.907822
| 10.578094
| 9.416925
| 9.525799
| 9.872625
| 10.311919
| 10.317669
| 9.596394
| 9.932327
| 10.431224
| 9.215341
| 8.807138
| 9.270377
| 8.978885
| 8.53954
| 9.084069
| 9.149228
| 8.857552
| 8.839143
| 9.238196
| 8.833443
|
hep-th/0103107
|
Miao Li
|
Miao Li
|
Dimensional Reduction via Noncommutative Spacetime: Bootstrap and
Holography
|
15 pages, harvmac. v2: typos corrected and some changes made
|
JHEP 0205 (2002) 033
|
10.1088/1126-6708/2002/05/033
| null |
hep-th gr-qc quant-ph
| null |
Unlike noncommutative space, when space and time are noncommutative, it seems
necessary to modify the usual scheme of quantum mechanics. We propose in this
paper a simple generalization of the time evolution equation in quantum
mechanics to incorporate the feature of a noncommutative spacetime. This
equation is much more constraining than the usual Schr\"odinger equation in
that the spatial dimension noncommuting with time is effectively reduced to a
point in low energy. We thus call the new evolution equation the spacetime
bootstrap equation, the dimensional reduction called for by this evolution
seems close to what is required by the holographic principle. We will discuss
several examples to demonstrate this point.
|
[
{
"created": "Wed, 14 Mar 2001 14:16:19 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Mar 2001 06:38:32 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Li",
"Miao",
""
]
] |
Unlike noncommutative space, when space and time are noncommutative, it seems necessary to modify the usual scheme of quantum mechanics. We propose in this paper a simple generalization of the time evolution equation in quantum mechanics to incorporate the feature of a noncommutative spacetime. This equation is much more constraining than the usual Schr\"odinger equation in that the spatial dimension noncommuting with time is effectively reduced to a point in low energy. We thus call the new evolution equation the spacetime bootstrap equation, the dimensional reduction called for by this evolution seems close to what is required by the holographic principle. We will discuss several examples to demonstrate this point.
| 12.864484
| 11.838858
| 12.724534
| 11.383747
| 13.050823
| 12.298856
| 12.981986
| 11.580738
| 12.547634
| 13.021325
| 11.455527
| 11.882647
| 12.163377
| 11.622688
| 11.515994
| 11.679193
| 11.703944
| 11.410177
| 11.763439
| 12.033949
| 11.927752
|
hep-th/0204058
|
Larus Thorlacius
|
K.R. Kristjansson and L. Thorlacius
|
Cosmological Models and Renormalization Group Flow
|
26 pages, 11 figures, v2: improved discussion of entropy bounds,
references added, v3: minor changes, reference added
|
JHEP 0205 (2002) 011
|
10.1088/1126-6708/2002/05/011
|
RH-05-2002
|
hep-th gr-qc
| null |
We study cosmological solutions of Einstein gravity with a positive
cosmological constant in diverse dimensions. These include big-bang models that
re-collapse, big-bang models that approach de Sitter acceleration at late
times, and bounce models that are both past and future asymptotically de
Sitter. The re-collapsing and the bounce geometries are all tall in the sense
that entire spatial slices become visible to a comoving observer before the end
of conformal time, while the accelerating big-bang geometries can be either
short or tall. We consider the interpretation of these cosmological solutions
as renormalization group flows in a dual field theory and give a geometric
interpretation of the associated c-function as the area of the apparent
cosmological horizon in Planck units. The covariant entropy bound requires
quantum effects to modify the early causal structure of some of our big-bang
solutions.
|
[
{
"created": "Sat, 6 Apr 2002 00:34:27 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Apr 2002 16:44:22 GMT",
"version": "v2"
},
{
"created": "Mon, 13 May 2002 13:31:30 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Kristjansson",
"K. R.",
""
],
[
"Thorlacius",
"L.",
""
]
] |
We study cosmological solutions of Einstein gravity with a positive cosmological constant in diverse dimensions. These include big-bang models that re-collapse, big-bang models that approach de Sitter acceleration at late times, and bounce models that are both past and future asymptotically de Sitter. The re-collapsing and the bounce geometries are all tall in the sense that entire spatial slices become visible to a comoving observer before the end of conformal time, while the accelerating big-bang geometries can be either short or tall. We consider the interpretation of these cosmological solutions as renormalization group flows in a dual field theory and give a geometric interpretation of the associated c-function as the area of the apparent cosmological horizon in Planck units. The covariant entropy bound requires quantum effects to modify the early causal structure of some of our big-bang solutions.
| 8.643985
| 9.077875
| 9.592253
| 8.349092
| 10.221666
| 8.997705
| 9.152237
| 8.552155
| 8.59135
| 9.928455
| 8.630951
| 8.44743
| 8.865666
| 8.59275
| 8.476181
| 8.420226
| 8.296235
| 8.400687
| 8.555603
| 8.798572
| 8.22338
|
hep-th/9602051
|
Gary Horowitz
|
Gary Horowitz and Andrew Strominger
|
Counting States of Near-Extremal Black Holes
|
11 pages, references corrected
|
Phys.Rev.Lett.77:2368-2371,1996
|
10.1103/PhysRevLett.77.2368
| null |
hep-th gr-qc
| null |
A six-dimensional black string is considered and its Bekenstein-Hawking
entropy computed. It is shown that to leading order above extremality, this
entropy precisely counts the number of string states with the given energy and
charges. This identification implies that Hawking decay of the near-extremal
black string can be analyzed in string perturbation theory and is
perturbatively unitary.
|
[
{
"created": "Sat, 10 Feb 1996 01:08:48 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Feb 1996 01:05:14 GMT",
"version": "v2"
}
] |
2009-09-17
|
[
[
"Horowitz",
"Gary",
""
],
[
"Strominger",
"Andrew",
""
]
] |
A six-dimensional black string is considered and its Bekenstein-Hawking entropy computed. It is shown that to leading order above extremality, this entropy precisely counts the number of string states with the given energy and charges. This identification implies that Hawking decay of the near-extremal black string can be analyzed in string perturbation theory and is perturbatively unitary.
| 10.541492
| 8.898832
| 10.552493
| 8.98486
| 9.707552
| 9.075858
| 9.237195
| 9.171881
| 9.128307
| 10.718167
| 8.497115
| 8.925828
| 9.527811
| 9.209667
| 9.146402
| 9.585906
| 8.798095
| 8.87113
| 9.056753
| 9.782213
| 8.851828
|
0706.0717
|
Michael Kroyter
|
Ehud Fuchs and Michael Kroyter
|
Marginal deformation for the photon in superstring field theory
|
v1. 17 pages; v2. 21 pages. Presentation expanded, fig. added, refs.
added, typos corrected
|
JHEP 0711:005,2007
|
10.1088/1126-6708/2007/11/005
|
AEI-2007-042
|
hep-th
| null |
We find solutions of supersymmetric string field theory that correspond to
the photon marginal deformation in the boundary conformal field theory. We
revisit the bosonic string marginal deformation and generate a real solution
for it. We find a map between the solutions of bosonic and supersymmetric
string field theories and suggest a universal solution to superstring field
theory.
|
[
{
"created": "Tue, 5 Jun 2007 18:35:00 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Nov 2007 09:15:51 GMT",
"version": "v2"
}
] |
2009-04-17
|
[
[
"Fuchs",
"Ehud",
""
],
[
"Kroyter",
"Michael",
""
]
] |
We find solutions of supersymmetric string field theory that correspond to the photon marginal deformation in the boundary conformal field theory. We revisit the bosonic string marginal deformation and generate a real solution for it. We find a map between the solutions of bosonic and supersymmetric string field theories and suggest a universal solution to superstring field theory.
| 15.310462
| 14.615427
| 14.099625
| 14.785595
| 14.316194
| 14.496825
| 14.23035
| 13.41925
| 14.366665
| 16.98395
| 14.157729
| 14.841702
| 14.201779
| 13.857864
| 15.136239
| 13.725793
| 13.732343
| 13.933888
| 13.641427
| 15.281152
| 14.495346
|
1912.08039
|
Madad Ali Valuyan
|
M. A. Valuyan
|
Radiative Correction of the Casimir Energy for the Scalar Field with the
Mixed Boundary Condition in 3 + 1 Dimensions
|
15 Pages, In Persian language, 5 figures
|
Journal of Research on Many-body Systems, 9(3), 187-201 (2019)
|
10.22055/JRMBS.2019.14916
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the present study, the zeroth- and first-order radiative correction of the
Casimir energy for massive and massless scalar fields, confined with mixed
boundary conditions (Dirichlet- Neumann) between two parallel plates in
$\phi^4$ theory, were computed. Two issues in performing calculations in this
work are essential: first, to renormalize the bare parameters of the problem, a
systematic method was used, which allows all influences from the boundary
conditions to be imported in all elements of the renormalization program. This
idea yields our counterterms appearing in the renormalization program to be
position-dependent. Using the box subtraction scheme as a regularization
technique is the other noteworthy point in the calculation. In this scheme, by
subtracting the vacuum energies of two similar configurations from each other,
regularizing divergent expressions and their removal process were significantly
facilitated. All the obtained answers for the Casimir energy with the mixed
boundary condition were consistent with well-known physical grounds. We also
compared the Casimir energy for the massive scalar field confined with four
types of boundary conditions (Dirichlet, Neumann, a mix of them and Periodic)
in 3+1 dimensions with each other, and the sign and magnitude of their values
were discussed.
|
[
{
"created": "Tue, 17 Dec 2019 14:39:21 GMT",
"version": "v1"
}
] |
2019-12-18
|
[
[
"Valuyan",
"M. A.",
""
]
] |
In the present study, the zeroth- and first-order radiative correction of the Casimir energy for massive and massless scalar fields, confined with mixed boundary conditions (Dirichlet- Neumann) between two parallel plates in $\phi^4$ theory, were computed. Two issues in performing calculations in this work are essential: first, to renormalize the bare parameters of the problem, a systematic method was used, which allows all influences from the boundary conditions to be imported in all elements of the renormalization program. This idea yields our counterterms appearing in the renormalization program to be position-dependent. Using the box subtraction scheme as a regularization technique is the other noteworthy point in the calculation. In this scheme, by subtracting the vacuum energies of two similar configurations from each other, regularizing divergent expressions and their removal process were significantly facilitated. All the obtained answers for the Casimir energy with the mixed boundary condition were consistent with well-known physical grounds. We also compared the Casimir energy for the massive scalar field confined with four types of boundary conditions (Dirichlet, Neumann, a mix of them and Periodic) in 3+1 dimensions with each other, and the sign and magnitude of their values were discussed.
| 11.687723
| 9.914861
| 11.878919
| 10.257765
| 10.177746
| 9.604973
| 9.617936
| 10.014956
| 10.736562
| 13.12779
| 10.359501
| 10.982807
| 11.880904
| 11.260381
| 11.115496
| 10.952756
| 11.218219
| 10.859301
| 11.146653
| 11.727875
| 10.98385
|
2307.02743
|
Pujian Mao
|
Song He, Pujian Mao, Xin-Cheng Mao
|
Loop corrections versus marginal deformation in celestial holography
|
v2: 9 pages + appendices, interpretations significantly improved,
sections reorganized, main results unchanged, new section about moduli spaces
of bulk vacua added, sections of deformed soft graviton theorem and shifted
stress tensor moved to appendix, refs. added
| null | null | null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
Four-dimensional all-loop amplitudes in QED and gravity exhibit universal
Infrared (IR) singularities with a factorization structure. This structure is
governed by tree amplitudes and a universal IR-divergent factor representing
the exchange of soft particles between external lines. This letter offers a
precise dual interpretation of these universal IR-divergent factors within
celestial holography. Considering the tree amplitude as the foundation of the
celestial conformal field theory (CCFT), these universal factors correspond to
marginal deformations in the CCFT. Remarkably, a novel geometric representation
of these deformations through topological gauging provides an exact description
of transitions within bulk vacuum moduli spaces. Our findings establish a
concrete dictionary for celestial holography and offer a holographic lens to
understand loop corrections in scattering amplitudes.
|
[
{
"created": "Thu, 6 Jul 2023 03:06:41 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Oct 2023 16:17:45 GMT",
"version": "v2"
}
] |
2023-10-30
|
[
[
"He",
"Song",
""
],
[
"Mao",
"Pujian",
""
],
[
"Mao",
"Xin-Cheng",
""
]
] |
Four-dimensional all-loop amplitudes in QED and gravity exhibit universal Infrared (IR) singularities with a factorization structure. This structure is governed by tree amplitudes and a universal IR-divergent factor representing the exchange of soft particles between external lines. This letter offers a precise dual interpretation of these universal IR-divergent factors within celestial holography. Considering the tree amplitude as the foundation of the celestial conformal field theory (CCFT), these universal factors correspond to marginal deformations in the CCFT. Remarkably, a novel geometric representation of these deformations through topological gauging provides an exact description of transitions within bulk vacuum moduli spaces. Our findings establish a concrete dictionary for celestial holography and offer a holographic lens to understand loop corrections in scattering amplitudes.
| 14.704184
| 12.595679
| 14.888562
| 11.775225
| 12.306717
| 12.799787
| 11.949541
| 11.792199
| 12.332305
| 15.83704
| 12.102468
| 13.051669
| 13.600246
| 12.810041
| 12.753287
| 13.369425
| 13.19034
| 12.897775
| 13.0159
| 14.102126
| 12.987332
|
hep-th/0212291
|
Peter West
|
P. West
|
Very Extended $E_8$ and $A_8$ at low levels, Gravity and Supergravity
|
16 pages, plain tex (equation 3.3 modified and one reference
expanded)
|
Class.Quant.Grav.20:2393-2406,2003
|
10.1088/0264-9381/20/11/328
|
KCL-MTH-02-31
|
hep-th
| null |
We define a level for a large class of Lorentzian Kac-Moody algebras. Using
this we find the representation content of very extended $A_{D-3}$ and $E_8$
(i.e. $E_{11}$) at low levels in terms of $A_{D-1}$ and $A_{10}$
representations respectively. The results are consistent with the conjectured
very extended $A_8$ and $E_{11}$ symmetries of gravity and maximal supergravity
theories given respectively in hep-th/0104081 and hep-th/0107209. We explain
how these results provided further evidence for these conjectures.
|
[
{
"created": "Mon, 23 Dec 2002 18:42:02 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Jan 2003 15:10:58 GMT",
"version": "v2"
}
] |
2016-09-06
|
[
[
"West",
"P.",
""
]
] |
We define a level for a large class of Lorentzian Kac-Moody algebras. Using this we find the representation content of very extended $A_{D-3}$ and $E_8$ (i.e. $E_{11}$) at low levels in terms of $A_{D-1}$ and $A_{10}$ representations respectively. The results are consistent with the conjectured very extended $A_8$ and $E_{11}$ symmetries of gravity and maximal supergravity theories given respectively in hep-th/0104081 and hep-th/0107209. We explain how these results provided further evidence for these conjectures.
| 7.486001
| 6.909267
| 8.546168
| 6.617458
| 7.506586
| 8.266151
| 7.036352
| 6.410701
| 6.726182
| 8.338201
| 6.579333
| 6.755804
| 7.077354
| 6.648903
| 6.730432
| 6.567348
| 6.997788
| 6.370187
| 6.833171
| 7.727927
| 6.639186
|
2110.02255
|
Davide Gaiotto
|
Davide Gaiotto
|
Vertex Algebra constructions for (analytic) Geometric Langlands in genus
zero
|
30 pages
| null | null | null |
hep-th math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We employ two-dimensional chiral algebra techniques to produce solutions of
certain differential and integral equations which occur in the context of the
Analytic Geometric Langlands Program.
|
[
{
"created": "Tue, 5 Oct 2021 18:06:24 GMT",
"version": "v1"
}
] |
2021-10-07
|
[
[
"Gaiotto",
"Davide",
""
]
] |
We employ two-dimensional chiral algebra techniques to produce solutions of certain differential and integral equations which occur in the context of the Analytic Geometric Langlands Program.
| 27.341373
| 17.977537
| 28.281191
| 17.837675
| 14.09341
| 19.306873
| 20.077906
| 19.707941
| 16.757925
| 30.159447
| 15.923273
| 18.193457
| 26.446211
| 19.075199
| 19.842644
| 18.776098
| 18.491703
| 18.052185
| 20.097662
| 22.358799
| 19.060888
|
hep-th/0303048
|
Ulrich Theis
|
Ulrich Theis and Stefan Vandoren
|
N=2 Supersymmetric Scalar-Tensor Couplings
|
23 pages, LaTeX2e with amsmath.sty; v2: corrected typos and added
reference
|
JHEP 0304 (2003) 042
|
10.1088/1126-6708/2003/04/042
|
ITP-UU-03/06, SPIN-03/04, TUW-03-07
|
hep-th
| null |
We determine the general coupling of a system of scalars and antisymmetric
tensors, with at most two derivatives and undeformed gauge transformations, for
both rigid and local N=2 supersymmetry in four-dimensional spacetime. Our
results cover interactions of hyper, tensor and double-tensor multiplets and
apply among others to Calabi-Yau threefold compactifications of Type II
supergravities. As an example, we give the complete Lagrangian and
supersymmetry transformation rules of the double-tensor multiplet dual to the
universal hypermultiplet.
|
[
{
"created": "Thu, 6 Mar 2003 18:25:05 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Apr 2003 12:52:51 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Theis",
"Ulrich",
""
],
[
"Vandoren",
"Stefan",
""
]
] |
We determine the general coupling of a system of scalars and antisymmetric tensors, with at most two derivatives and undeformed gauge transformations, for both rigid and local N=2 supersymmetry in four-dimensional spacetime. Our results cover interactions of hyper, tensor and double-tensor multiplets and apply among others to Calabi-Yau threefold compactifications of Type II supergravities. As an example, we give the complete Lagrangian and supersymmetry transformation rules of the double-tensor multiplet dual to the universal hypermultiplet.
| 9.374406
| 7.520999
| 10.430592
| 8.513153
| 7.891191
| 8.284583
| 7.883156
| 7.950036
| 7.662398
| 10.841916
| 8.072556
| 8.535769
| 9.708573
| 8.346172
| 8.206196
| 8.091619
| 8.293555
| 8.515814
| 8.571532
| 9.509193
| 8.495383
|
hep-th/0011047
|
Partha Mukhopadhyay
|
Partha Mukhopadhyay
|
Unstable Non-BPS D-Branes of Type-II String Theories in Light-Cone
Green-Schwarz Formalism
|
LaTeX file, 37 pages
|
Nucl.Phys. B600 (2001) 285-314
|
10.1016/S0550-3213(01)00072-4
|
MRI-P-001101
|
hep-th
| null |
The problem of describing the boundary states of unstable non-BPS D-branes of
type-II string theories in light-cone Green-Schwarz (GS) formalism is
addressed. Regarding the type II theories in light-cone gauge as different
realizations of the $\hat{SO}(8)_{k=1}$ Kac-Moody algebra, the non-BPS D-brane
boundary states of these theories are given in terms of the relevant Ishibashi
states constructed in this current algebra. Using the expressions for the
current modes in terms of the GS variables it is straightforward to reexress
the boundary states in the GS formalism. The problem that remains is the lack
of manifest SO(8) covariance in these expressions. We also derive the various
known expressions for the BPS and non-BPS D-brane boundary states by starting
with the current algebra Ishibashi states.
|
[
{
"created": "Wed, 8 Nov 2000 10:00:56 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Mukhopadhyay",
"Partha",
""
]
] |
The problem of describing the boundary states of unstable non-BPS D-branes of type-II string theories in light-cone Green-Schwarz (GS) formalism is addressed. Regarding the type II theories in light-cone gauge as different realizations of the $\hat{SO}(8)_{k=1}$ Kac-Moody algebra, the non-BPS D-brane boundary states of these theories are given in terms of the relevant Ishibashi states constructed in this current algebra. Using the expressions for the current modes in terms of the GS variables it is straightforward to reexress the boundary states in the GS formalism. The problem that remains is the lack of manifest SO(8) covariance in these expressions. We also derive the various known expressions for the BPS and non-BPS D-brane boundary states by starting with the current algebra Ishibashi states.
| 7.654859
| 7.233655
| 8.723847
| 6.844728
| 7.692177
| 7.496083
| 6.984688
| 6.69819
| 7.238851
| 8.958613
| 7.421553
| 7.327613
| 7.599431
| 7.051206
| 7.143613
| 7.115577
| 7.044196
| 7.302117
| 7.227102
| 7.619167
| 7.185677
|
2104.06435
|
Paul Romatschke
|
Paul Romatschke
|
Shear Viscosity at Infinite Coupling: A Field Theory Calculation
|
6 pages, 1 figure plus supplemental material; v2: fixed typos and
buggy code for (84) in v1, corrected eta/s values; v3: typo in (9) corrected,
Fig.1 updated (no change in results)
|
Phys. Rev. Lett. 127, 111603 (2021)
|
10.1103/PhysRevLett.127.111603
| null |
hep-th cond-mat.str-el hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
I derive an exact integral expression for the ratio of shear viscosity over
entropy density $\frac{\eta}{s}$ for the massless (critical) O(N) model at
large N with quartic interactions. The calculation is set up and performed
entirely from the field theory side using a non-perturbative resummation scheme
that captures all contributions to leading order in large N. In 2+1d,
$\frac{\eta}{s}$ is evaluated numerically at all values of the coupling. For
infinite coupling, I find $\frac{\eta}{s}\simeq 0.42(1)\times N$. I show that
this strong coupling result for the viscosity is universal for a large class of
interacting bosonic O(N) models.
|
[
{
"created": "Tue, 13 Apr 2021 18:20:51 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Jun 2021 15:01:30 GMT",
"version": "v2"
},
{
"created": "Tue, 21 Dec 2021 19:19:20 GMT",
"version": "v3"
}
] |
2021-12-23
|
[
[
"Romatschke",
"Paul",
""
]
] |
I derive an exact integral expression for the ratio of shear viscosity over entropy density $\frac{\eta}{s}$ for the massless (critical) O(N) model at large N with quartic interactions. The calculation is set up and performed entirely from the field theory side using a non-perturbative resummation scheme that captures all contributions to leading order in large N. In 2+1d, $\frac{\eta}{s}$ is evaluated numerically at all values of the coupling. For infinite coupling, I find $\frac{\eta}{s}\simeq 0.42(1)\times N$. I show that this strong coupling result for the viscosity is universal for a large class of interacting bosonic O(N) models.
| 7.433882
| 7.334864
| 7.35267
| 6.395656
| 7.047901
| 6.864169
| 6.499018
| 7.074154
| 6.980169
| 8.556369
| 6.621475
| 6.8392
| 7.217363
| 6.895268
| 6.916355
| 6.763239
| 6.843396
| 6.726963
| 6.840899
| 7.207611
| 6.868997
|
2209.14342
|
Christos Litos
|
Elias Kiritsis, Christos Litos
|
Holographic RG flows on Squashed $S^3$
|
41 pages + appendices (v2) Several numerical errors corrected in
equations (F.15-16) on page 68, (F.93-F.96) on page 79, ,(F.128-132) on page
83, (F.143-F.146) on page 85 , and (F.192) and (F.196) on page 91. These
changes do not affect the results of the paper
| null |
10.1007/JHEP12(2022)161
|
CCTP-2022-6, ITCP-2022/6
|
hep-th
|
http://creativecommons.org/licenses/by-nc-nd/4.0/
|
Holographic RG flows dual to QFTs on a squashed $S^3$ are considered in the
framework of Einstein dilaton gravity in four dimensions. A general dilaton
potential is used and flows are driven by a scalar relevant operator. The
general properties of such flows are analysed and the UV and IR asymptotics are
computed. Exotic asymptotics are found, that are different from the standard
Fefferman-Graham asymptotics.
|
[
{
"created": "Wed, 28 Sep 2022 18:11:16 GMT",
"version": "v1"
},
{
"created": "Sat, 24 Jun 2023 18:02:27 GMT",
"version": "v2"
}
] |
2023-06-27
|
[
[
"Kiritsis",
"Elias",
""
],
[
"Litos",
"Christos",
""
]
] |
Holographic RG flows dual to QFTs on a squashed $S^3$ are considered in the framework of Einstein dilaton gravity in four dimensions. A general dilaton potential is used and flows are driven by a scalar relevant operator. The general properties of such flows are analysed and the UV and IR asymptotics are computed. Exotic asymptotics are found, that are different from the standard Fefferman-Graham asymptotics.
| 9.389446
| 6.473358
| 7.818011
| 6.89754
| 6.917212
| 6.283966
| 6.131074
| 7.231134
| 7.225831
| 9.179691
| 6.649366
| 6.676354
| 7.410462
| 6.858459
| 6.821646
| 6.940382
| 6.754419
| 7.015463
| 7.031945
| 7.49677
| 7.183665
|
hep-th/9508008
|
Rodriguez Romo Suemi-FESC
|
Suemi Rodr\'iguez-Romo
|
Real Space Renormalization-Group for Configurational Random Walk Models
on a Hierarchical Lattice. The Asymptotic End-to-End Distance of a Weakly
SARW in Dimension Four
|
39 pages + 4 figures, LaTex
| null | null |
CIT-FESC-UNAM 95/2
|
hep-th chem-ph cond-mat hep-lat
| null |
We present a real space renormalization-group map for probabilities of random
walks on a hierarchical lattice. From this, we study the asymptotic behavior of
the end-to-end distance of a weakly self- avoiding random walk (SARW) that
penalizes the (self-)intersection of two random walks in dimension four on the
hierarchical lattice.
|
[
{
"created": "Wed, 2 Aug 1995 23:48:19 GMT",
"version": "v1"
}
] |
2016-08-15
|
[
[
"Rodríguez-Romo",
"Suemi",
""
]
] |
We present a real space renormalization-group map for probabilities of random walks on a hierarchical lattice. From this, we study the asymptotic behavior of the end-to-end distance of a weakly self- avoiding random walk (SARW) that penalizes the (self-)intersection of two random walks in dimension four on the hierarchical lattice.
| 12.412049
| 14.173906
| 15.111334
| 12.26899
| 13.624444
| 12.698621
| 12.845313
| 12.35013
| 13.40023
| 15.000037
| 12.330221
| 12.263029
| 13.375085
| 12.547683
| 12.138955
| 11.789498
| 11.809787
| 12.276723
| 12.164218
| 14.695478
| 12.800437
|
hep-th/0612023
|
Ram Sriharsha
|
Ram Sriharsha
|
The moduli space of hyper-K{\"a}hler four-fold compactifications
|
42 pages, discussion of ${\cal N}=3$ supersymmetry preserving fluxes
added, acknowledegement added
|
JHEP 0703:095,2007
|
10.1088/1126-6708/2007/03/095
| null |
hep-th
| null |
I discuss some aspects of the moduli space of hyper-K{\"a}hler four-fold
compactifications of type II and ${\cal M}$- theories. The dimension of the
moduli space of these theories is strictly bounded from above. As an example I
study Hilb$^2(K3)$ and the generalized Kummer variety $K^2(T^4)$. In both cases
RR-flux (or $G$-flux in ${\cal M}$-theory) must be turned on, and we show that
they give rise to vacua with ${\cal N}=2$ or ${\cal N}=3$ supersymmetry upon
turning on appropriate fluxes. An interesting subtlety involving the symmetric
product limit $S^2(K3)$ is pointed out.
|
[
{
"created": "Mon, 4 Dec 2006 20:13:59 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Dec 2006 19:48:55 GMT",
"version": "v2"
},
{
"created": "Fri, 5 Jan 2007 01:01:01 GMT",
"version": "v3"
}
] |
2010-10-27
|
[
[
"Sriharsha",
"Ram",
""
]
] |
I discuss some aspects of the moduli space of hyper-K{\"a}hler four-fold compactifications of type II and ${\cal M}$- theories. The dimension of the moduli space of these theories is strictly bounded from above. As an example I study Hilb$^2(K3)$ and the generalized Kummer variety $K^2(T^4)$. In both cases RR-flux (or $G$-flux in ${\cal M}$-theory) must be turned on, and we show that they give rise to vacua with ${\cal N}=2$ or ${\cal N}=3$ supersymmetry upon turning on appropriate fluxes. An interesting subtlety involving the symmetric product limit $S^2(K3)$ is pointed out.
| 7.893292
| 8.663641
| 9.398465
| 8.414966
| 8.772562
| 8.540783
| 8.907834
| 8.709072
| 8.314722
| 10.347491
| 8.125974
| 7.950773
| 7.998576
| 7.730495
| 7.512102
| 7.821027
| 7.570317
| 7.616426
| 7.759468
| 7.908982
| 7.414596
|
0905.2970
|
Shamit Kachru
|
Shamit Kachru, Dusan Simic and Sandip P. Trivedi
|
Stable Non-Supersymmetric Throats in String Theory
|
28 pages,2 figures
|
JHEP 1005:067,2010
|
10.1007/JHEP05(2010)067
|
NSF-KITP-09-55, SITP-09/17, SLAC-PUB-13593
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct a large class of non-supersymmetric AdS-like throat geometries
in string theory by taking non-supersymmetric orbifolds of supersymmetric
backgrounds. The scale of SUSY breaking is the AdS radius, and the dual field
theory has explicitly broken supersymmetry. The large hierarchy of energy
scales in these geometries is stable. We establish this by showing that the
dual gauge theories do not have any relevant operators which are singlets under
the global symmetries. When the geometries are embedded in a compact internal
space, a large enough discrete subgroup of the global symmetries can still
survive to prevent any singlet relevant operators from arising. We illustrate
this by embedding one case in a non-supersymmetric orbifold of a Calabi-Yau
manifold. These examples can serve as a starting point for obtaining
Randall-Sundrum models in string theory, and more generally for constructing
composite Higgs or technicolor-like models where strongly coupled dynamics
leads to the breaking of electro-weak symmetry. Towards the end of the paper,
we briefly discuss how bulk gauge fields can be incorporated by introducing
D7-branes in the bulk, and also show how the strongly coupled dynamics can lead
to an emergent weakly coupled gauge theory in the IR with matter fields
including scalars.
|
[
{
"created": "Tue, 19 May 2009 16:08:07 GMT",
"version": "v1"
}
] |
2010-05-27
|
[
[
"Kachru",
"Shamit",
""
],
[
"Simic",
"Dusan",
""
],
[
"Trivedi",
"Sandip P.",
""
]
] |
We construct a large class of non-supersymmetric AdS-like throat geometries in string theory by taking non-supersymmetric orbifolds of supersymmetric backgrounds. The scale of SUSY breaking is the AdS radius, and the dual field theory has explicitly broken supersymmetry. The large hierarchy of energy scales in these geometries is stable. We establish this by showing that the dual gauge theories do not have any relevant operators which are singlets under the global symmetries. When the geometries are embedded in a compact internal space, a large enough discrete subgroup of the global symmetries can still survive to prevent any singlet relevant operators from arising. We illustrate this by embedding one case in a non-supersymmetric orbifold of a Calabi-Yau manifold. These examples can serve as a starting point for obtaining Randall-Sundrum models in string theory, and more generally for constructing composite Higgs or technicolor-like models where strongly coupled dynamics leads to the breaking of electro-weak symmetry. Towards the end of the paper, we briefly discuss how bulk gauge fields can be incorporated by introducing D7-branes in the bulk, and also show how the strongly coupled dynamics can lead to an emergent weakly coupled gauge theory in the IR with matter fields including scalars.
| 7.90778
| 8.591838
| 8.819108
| 7.942722
| 8.76986
| 8.111886
| 8.819189
| 7.9468
| 7.839855
| 8.955532
| 8.044677
| 7.914715
| 8.129125
| 7.687421
| 7.741217
| 7.992125
| 7.904909
| 7.986121
| 7.770385
| 8.186671
| 7.677344
|
hep-th/9411045
|
Marek Grabowski
|
M. P. Grabowski and P. Mathieu
|
Structure of the conservation laws in integrable spin chains with short
range interactions
|
79 pages in plain TeX plus 4 uuencoded figures; (uses harvmac and
epsf)
|
Annals Phys. 243 (1995) 299-371
|
10.1006/aphy.1995.1101
|
LAVAL-PHY-21/94
|
hep-th cond-mat
| null |
We present a detailed analysis of the structure of the conservation laws in
quantum integrable chains of the XYZ-type and in the Hubbard model. With the
use of the boost operator, we establish the general form of the XYZ conserved
charges in terms of simple polynomials in spin variables and derive recursion
relations for the relative coefficients of these polynomials. For two submodels
of the XYZ chain - namely the XXX and XY cases, all the charges can be
calculated in closed form. For the XXX case, a simple description of conserved
charges is found in terms of a Catalan tree. This construction is generalized
for the su(M) invariant integrable chain. We also indicate that a quantum
recursive (ladder) operator can be traced back to the presence of a hamiltonian
mastersymmetry of degree one in the classical continuous version of the model.
We show that in the quantum continuous limits of the XYZ model, the ladder
property of the boost operator disappears. For the Hubbard model we demonstrate
the non-existence of a ladder operator. Nevertheless, the general structure of
the conserved charges is indicated, and the expression for the terms linear in
the model's free parameter for all charges is derived in closed form.
|
[
{
"created": "Mon, 7 Nov 1994 11:42:05 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Grabowski",
"M. P.",
""
],
[
"Mathieu",
"P.",
""
]
] |
We present a detailed analysis of the structure of the conservation laws in quantum integrable chains of the XYZ-type and in the Hubbard model. With the use of the boost operator, we establish the general form of the XYZ conserved charges in terms of simple polynomials in spin variables and derive recursion relations for the relative coefficients of these polynomials. For two submodels of the XYZ chain - namely the XXX and XY cases, all the charges can be calculated in closed form. For the XXX case, a simple description of conserved charges is found in terms of a Catalan tree. This construction is generalized for the su(M) invariant integrable chain. We also indicate that a quantum recursive (ladder) operator can be traced back to the presence of a hamiltonian mastersymmetry of degree one in the classical continuous version of the model. We show that in the quantum continuous limits of the XYZ model, the ladder property of the boost operator disappears. For the Hubbard model we demonstrate the non-existence of a ladder operator. Nevertheless, the general structure of the conserved charges is indicated, and the expression for the terms linear in the model's free parameter for all charges is derived in closed form.
| 10.750642
| 11.20363
| 11.577365
| 10.840032
| 11.673276
| 11.319442
| 12.037564
| 10.771727
| 10.723537
| 12.620163
| 10.949801
| 10.660064
| 10.890413
| 10.715523
| 10.424995
| 10.559122
| 10.746529
| 10.654385
| 10.28209
| 10.67307
| 10.515511
|
hep-th/0006041
|
Martin Schvellinger
|
Martin Schvellinger (Oxford U.)
|
Confining strings, Wilson loops and extra dimensions
|
17 pages, Latex, 5 eps figures, a discussion about the naked
singularity is included and three references added
|
Phys.Lett. B493 (2000) 402-410
|
10.1016/S0370-2693(00)01152-7
|
OUTP-00-24-P
|
hep-th
| null |
We study solutions of the one-loop beta-functions of the critical bosonic
string theory in the framework of the Renormalization Group (RG) approach to
string theory, considering explicitly the effects of the 21 extra dimensions.
In the RG approach the 26-dimensional manifold is given in terms of a four
dimensional Minkowski spacetime times R and a 21-dimensional hyper-plane. In
calculating the Wilson loops, as it is wellknown for this kind of confining
geometry, two phenomena appear: confinement and over-confinement. There is a
critical minimal surface below of which it leads to confinement only. The role
of the extra dimensions is understood in terms of a dimensionless scale l
provided by them. Therefore the effective string tension in the area law, the
length of the Wilson loops, as well as, the size of the critical minimal
surface depend on this scale. When this confining geometry is used to study a
field-theory beta-function with an infrared attractive point (as the
Novikov-Shifman-Vainshtein-Zakharov beta-function) the range of the couplings
where the field theory is confining depends on that scale. We have explicitly
calculated the l-dependence of that range.
|
[
{
"created": "Tue, 6 Jun 2000 10:36:36 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Nov 2000 18:07:23 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Schvellinger",
"Martin",
"",
"Oxford U."
]
] |
We study solutions of the one-loop beta-functions of the critical bosonic string theory in the framework of the Renormalization Group (RG) approach to string theory, considering explicitly the effects of the 21 extra dimensions. In the RG approach the 26-dimensional manifold is given in terms of a four dimensional Minkowski spacetime times R and a 21-dimensional hyper-plane. In calculating the Wilson loops, as it is wellknown for this kind of confining geometry, two phenomena appear: confinement and over-confinement. There is a critical minimal surface below of which it leads to confinement only. The role of the extra dimensions is understood in terms of a dimensionless scale l provided by them. Therefore the effective string tension in the area law, the length of the Wilson loops, as well as, the size of the critical minimal surface depend on this scale. When this confining geometry is used to study a field-theory beta-function with an infrared attractive point (as the Novikov-Shifman-Vainshtein-Zakharov beta-function) the range of the couplings where the field theory is confining depends on that scale. We have explicitly calculated the l-dependence of that range.
| 12.392605
| 13.294705
| 13.844661
| 12.637084
| 14.750702
| 13.738431
| 14.603306
| 13.103796
| 12.311876
| 14.371824
| 12.555454
| 12.541306
| 12.150939
| 12.019035
| 12.437543
| 12.435358
| 12.464836
| 12.197234
| 12.366722
| 12.218476
| 11.948763
|
0706.2015
|
Evgeny Buchbinder
|
Evgeny I. Buchbinder
|
Infrared Limit of Gluon Amplitudes at Strong Coupling
|
10 pages, 2 figures; minor corrections, references added; typos
corrected
|
Phys.Lett.B654:46-50,2007
|
10.1016/j.physletb.2007.08.028
| null |
hep-th
| null |
In this note, we propose that the infrared structure of gluon amplitudes at
strong coupling can be fully extracted from a local consideration near cusps.
This is consistent with field theory and correctly reproduces the infrared
divergences of the four-gluon amplitude at strong coupling calculated recently
by Alday and Maldacena.
|
[
{
"created": "Thu, 14 Jun 2007 00:24:04 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Jul 2007 05:20:10 GMT",
"version": "v2"
},
{
"created": "Fri, 27 Jul 2007 06:39:24 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Buchbinder",
"Evgeny I.",
""
]
] |
In this note, we propose that the infrared structure of gluon amplitudes at strong coupling can be fully extracted from a local consideration near cusps. This is consistent with field theory and correctly reproduces the infrared divergences of the four-gluon amplitude at strong coupling calculated recently by Alday and Maldacena.
| 8.603612
| 7.852651
| 7.790623
| 7.592851
| 7.403412
| 7.32243
| 7.946778
| 7.658824
| 7.046567
| 8.854456
| 7.500288
| 7.853338
| 7.65604
| 7.352078
| 7.402293
| 7.741115
| 7.49928
| 8.028358
| 7.741909
| 7.497718
| 7.834459
|
hep-th/0604106
|
Ahmad Ghodsi
|
Ahmad Ghodsi
|
R^4 Corrections to D1D5p Black Hole Entropy from Entropy Function
Formalism
|
15 pages, minor corrections, typos corrected
|
Phys.Rev.D74:124026,2006
|
10.1103/PhysRevD.74.124026
|
IPM/P-2006/022, CPHT RR020. 0406
|
hep-th gr-qc
| null |
We show that in IIB string theory and for D1D5p black holes in ten dimensions
the method of entropy function works. Despite the more complicated Wald formula
for the entropy of D1D5p black holes in ten dimensions, their entropy is given
by entropy function at its extremum point. We use this method for computing the
entropy of the system both at the level of supergravity and for its higher
order alpha'^3R^4 corrections.
|
[
{
"created": "Fri, 14 Apr 2006 15:36:24 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Apr 2006 13:40:08 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Ghodsi",
"Ahmad",
""
]
] |
We show that in IIB string theory and for D1D5p black holes in ten dimensions the method of entropy function works. Despite the more complicated Wald formula for the entropy of D1D5p black holes in ten dimensions, their entropy is given by entropy function at its extremum point. We use this method for computing the entropy of the system both at the level of supergravity and for its higher order alpha'^3R^4 corrections.
| 13.77669
| 12.213516
| 16.070368
| 12.339344
| 12.659608
| 13.29857
| 10.69605
| 11.545657
| 11.36111
| 19.50676
| 10.864607
| 12.999891
| 13.068913
| 12.996241
| 12.950475
| 12.386449
| 12.139278
| 12.747936
| 12.869257
| 14.267845
| 12.728661
|
1708.05658
|
Stephen Pietromonaco
|
Stephen Pietromonaco
|
Emergent Geometry Through Holomorphic Matrix Models
|
Masters Thesis in Physics, University of British Columbia, August
2017, 68 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Over the years, deep insights into string theory and supersymmetric gauge
theories have come from studying geometry emerging from matrix models. In this
thesis, I study the N=1* and N=2* theories from which an elliptic curve is
known to emerge, alongside an elliptic function called the generalized
resolvent into which the physics is encoded. This is indicative of the common
origin of the two theories in N=4 SYM. The N=1* Dijkgraaf-Vafa matrix model is
intrinsically holomorphic with parameter space corresponding to the upper-half
plane. The Dijkgraaf-Vafa matrix model 't Hooft coupling S has been previously
shown to be holomorphic on the upper-half plane and quasi-modular with respect
to SL(2,Z). The allowed N=2* coupling is constrained to a Hermitian slice
through the enlarged moduli space of the holomorphic N=1* model. After
explicitly constructing the map from the elliptic curve to the eigenvalue
plane, I argue that the N=1* coupling S encodes data reminiscent of N=2*. A
collection of extrema (saddle-points) of S behave curiously like the quantum
critical points of N=2* theory. For the first critical point, the match is
exact. This collection of points lie on the line of degeneration which behaves
in a sense, like a boundary at infinity. I also show explicitly that the
emergent elliptic curve along with the generalized resolvent allow one to
recover exact eigenvalue densities. At weak coupling, my method reproduces the
inverse square root of N=2* as well as the Wigner semi-circle in N=1*. At
strong coupling in N=1*, I provide encouraging evidence of the parabolic
density arising in the neighborhood of the line of degeneration. To my
knowledge, the parabolic density has only been observed asymptotically. It is
interesting to see evidence that it may be exactly encoded in the other form of
emergent geometry: the elliptic curve with the generalized resolvent.
|
[
{
"created": "Tue, 15 Aug 2017 19:23:03 GMT",
"version": "v1"
}
] |
2017-08-21
|
[
[
"Pietromonaco",
"Stephen",
""
]
] |
Over the years, deep insights into string theory and supersymmetric gauge theories have come from studying geometry emerging from matrix models. In this thesis, I study the N=1* and N=2* theories from which an elliptic curve is known to emerge, alongside an elliptic function called the generalized resolvent into which the physics is encoded. This is indicative of the common origin of the two theories in N=4 SYM. The N=1* Dijkgraaf-Vafa matrix model is intrinsically holomorphic with parameter space corresponding to the upper-half plane. The Dijkgraaf-Vafa matrix model 't Hooft coupling S has been previously shown to be holomorphic on the upper-half plane and quasi-modular with respect to SL(2,Z). The allowed N=2* coupling is constrained to a Hermitian slice through the enlarged moduli space of the holomorphic N=1* model. After explicitly constructing the map from the elliptic curve to the eigenvalue plane, I argue that the N=1* coupling S encodes data reminiscent of N=2*. A collection of extrema (saddle-points) of S behave curiously like the quantum critical points of N=2* theory. For the first critical point, the match is exact. This collection of points lie on the line of degeneration which behaves in a sense, like a boundary at infinity. I also show explicitly that the emergent elliptic curve along with the generalized resolvent allow one to recover exact eigenvalue densities. At weak coupling, my method reproduces the inverse square root of N=2* as well as the Wigner semi-circle in N=1*. At strong coupling in N=1*, I provide encouraging evidence of the parabolic density arising in the neighborhood of the line of degeneration. To my knowledge, the parabolic density has only been observed asymptotically. It is interesting to see evidence that it may be exactly encoded in the other form of emergent geometry: the elliptic curve with the generalized resolvent.
| 10.286964
| 10.878432
| 11.598649
| 10.090325
| 11.382634
| 11.034648
| 11.166412
| 10.488819
| 10.450914
| 11.946502
| 10.397142
| 10.087855
| 10.628901
| 10.126872
| 10.304912
| 10.118063
| 10.259051
| 10.37184
| 10.306239
| 10.542504
| 10.547957
|
hep-th/9508029
|
Jun Koga
|
Jun-ichirou Koga and Kei-ichi Maeda
|
Evaporation and Fate of Dilatonic Black Holes
|
33 pages, LaTex, 14 postscript figure files (appended as a uuencoded
compressed tar file)
|
Phys.Rev. D52 (1995) 7066-7079
|
10.1103/PhysRevD.52.7066
|
WU-AP/46/95
|
hep-th gr-qc
| null |
We study both spherically symmetric and rotating black holes with dilaton
coupling and discuss the evaporation of these black holes via Hawking's quantum
radiation and their fates. We find that the dilaton coupling constant $\alpha$
drastically affects the emission rates, and therefore the fates of the black
holes. When the charge is conserved, the emission rate from the non-rotating
hole is drastically changed beyond $\alpha = 1$ (a superstring theory) and
diverges in the extreme limit. In the rotating cases, we analyze the slowly
rotating black hole solution with arbitrary $\alpha$ as well as three exact
solutions, the Kerr--Newman ($\alpha = 0$), and Kaluza--Klein ($\alpha =
\sqrt{3}$), and Sen black hole ($\alpha = 1$ and with axion field). Beyond the
same critical value of $\alpha \sim 1$, the emission rate becomes very large
near the maximally charged limit, while for $\alpha<1$ it remains finite. The
black hole with $\alpha > 1$ may evolve into a naked singularity due to its
large emission rate. We also consider the effects of a discharge process by
investigating superradiance for the non-rotating dilatonic black hole.
|
[
{
"created": "Mon, 7 Aug 1995 09:27:17 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Koga",
"Jun-ichirou",
""
],
[
"Maeda",
"Kei-ichi",
""
]
] |
We study both spherically symmetric and rotating black holes with dilaton coupling and discuss the evaporation of these black holes via Hawking's quantum radiation and their fates. We find that the dilaton coupling constant $\alpha$ drastically affects the emission rates, and therefore the fates of the black holes. When the charge is conserved, the emission rate from the non-rotating hole is drastically changed beyond $\alpha = 1$ (a superstring theory) and diverges in the extreme limit. In the rotating cases, we analyze the slowly rotating black hole solution with arbitrary $\alpha$ as well as three exact solutions, the Kerr--Newman ($\alpha = 0$), and Kaluza--Klein ($\alpha = \sqrt{3}$), and Sen black hole ($\alpha = 1$ and with axion field). Beyond the same critical value of $\alpha \sim 1$, the emission rate becomes very large near the maximally charged limit, while for $\alpha<1$ it remains finite. The black hole with $\alpha > 1$ may evolve into a naked singularity due to its large emission rate. We also consider the effects of a discharge process by investigating superradiance for the non-rotating dilatonic black hole.
| 7.461444
| 7.998711
| 8.296553
| 7.443357
| 7.647668
| 7.607612
| 7.797688
| 7.632556
| 7.385732
| 8.136689
| 7.605691
| 7.460679
| 7.610578
| 7.41854
| 7.466069
| 7.679695
| 7.409447
| 7.487905
| 7.327863
| 7.525584
| 7.378932
|
hep-th/9910148
|
Terry Gannon
|
T. Gannon
|
Integers in the open string
|
8 pp, plain tex
|
Phys.Lett. B473 (2000) 80-85
|
10.1016/S0370-2693(99)01468-9
| null |
hep-th
| null |
We show that the $Y_{ab}^c$ of Pradisi-Sagnotti-Stanev are indeed integers,
and we prove a conjecture of Borisov-Halpern-Schweigert. We indicate some of
the special features which arise when the order of the modular matrix T is odd.
Our arguments are general, applying to arbitrary ``parent'' RCFT assuming only
that T has odd order.
|
[
{
"created": "Mon, 18 Oct 1999 21:23:15 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Gannon",
"T.",
""
]
] |
We show that the $Y_{ab}^c$ of Pradisi-Sagnotti-Stanev are indeed integers, and we prove a conjecture of Borisov-Halpern-Schweigert. We indicate some of the special features which arise when the order of the modular matrix T is odd. Our arguments are general, applying to arbitrary ``parent'' RCFT assuming only that T has odd order.
| 20.076143
| 17.279509
| 26.516886
| 18.020819
| 19.122744
| 20.946993
| 20.438519
| 15.983495
| 18.505213
| 28.819887
| 18.129536
| 16.908587
| 20.018744
| 18.404041
| 19.468874
| 18.68564
| 18.201982
| 17.377214
| 17.942787
| 21.001959
| 18.314087
|
hep-th/9702068
|
Charles Thorn
|
O. Bergman (Brandeis, Harvard) and C.B. Thorn (University of Florida)
|
The Size of a Polymer of String-Bits: A Numerical Investigation
|
14 pages, LaTeX, 9 postscript figures
|
Nucl.Phys. B502 (1997) 309-324
|
10.1016/S0550-3213(97)00475-6
| null |
hep-th
| null |
In string-bit models, string is described as a polymer of point-like
constituents. We attempt to use string-bit ideas to investigate how the size of
string is affected by string interactions in a non-perturbative context.
Lacking adequate methods to deal with the full complications of bit
rearrangement interactions, we study instead a simplified analog model with
only ``direct'' potential interactions among the bits. We use the variational
principle in an approximate calculation of the mean-square size of a polymer as
a function of the number of constituents/bits for various interaction strengths
g in three specific models.
|
[
{
"created": "Sat, 8 Feb 1997 20:08:55 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Bergman",
"O.",
"",
"Brandeis, Harvard"
],
[
"Thorn",
"C. B.",
"",
"University of Florida"
]
] |
In string-bit models, string is described as a polymer of point-like constituents. We attempt to use string-bit ideas to investigate how the size of string is affected by string interactions in a non-perturbative context. Lacking adequate methods to deal with the full complications of bit rearrangement interactions, we study instead a simplified analog model with only ``direct'' potential interactions among the bits. We use the variational principle in an approximate calculation of the mean-square size of a polymer as a function of the number of constituents/bits for various interaction strengths g in three specific models.
| 21.679495
| 19.193037
| 18.769672
| 17.856998
| 19.538141
| 17.238846
| 17.825274
| 18.237928
| 18.603289
| 22.715654
| 16.695633
| 16.961199
| 18.580921
| 16.896214
| 17.041157
| 17.375656
| 16.721188
| 16.717951
| 17.160183
| 18.430809
| 17.114237
|
1009.1615
|
Juan Jottar
|
Ibrahima Bah, Alberto Faraggi, Juan I. Jottar and Robert G. Leigh
|
Fermions and Type IIB Supergravity On Squashed Sasaki-Einstein Manifolds
|
43 pages, 2 figures, PDFLaTeX; v2: added references, typos corrected,
minor changes
|
JHEP 1101:100,2011
|
10.1007/JHEP01(2011)100
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss the dimensional reduction of fermionic modes in a recently found
class of consistent truncations of type IIB supergravity compactified on
squashed five-dimensional Sasaki-Einstein manifolds. We derive the lower
dimensional equations of motion and effective action, and comment on the
supersymmetry of the resulting theory, which is consistent with N=4 gauged
supergravity in $d=5$, coupled to two vector multiplets. We compute fermion
masses by linearizing around two $AdS_{5}$ vacua of the theory: one that breaks
N=4 down to N=2 spontaneously, and a second one which preserves no
supersymmetries. The truncations under consideration are noteworthy in that
they retain massive modes which are charged under a U(1) subgroup of the
$R$-symmetry, a feature that makes them interesting for applications to
condensed matter phenomena via gauge/gravity duality. In this light, as an
application of our general results we exhibit the coupling of the fermions to
the type IIB holographic superconductor, and find a consistent further
truncation of the fermion sector that retains a single spin-1/2 mode.
|
[
{
"created": "Wed, 8 Sep 2010 19:55:11 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Dec 2010 19:51:59 GMT",
"version": "v2"
}
] |
2011-01-27
|
[
[
"Bah",
"Ibrahima",
""
],
[
"Faraggi",
"Alberto",
""
],
[
"Jottar",
"Juan I.",
""
],
[
"Leigh",
"Robert G.",
""
]
] |
We discuss the dimensional reduction of fermionic modes in a recently found class of consistent truncations of type IIB supergravity compactified on squashed five-dimensional Sasaki-Einstein manifolds. We derive the lower dimensional equations of motion and effective action, and comment on the supersymmetry of the resulting theory, which is consistent with N=4 gauged supergravity in $d=5$, coupled to two vector multiplets. We compute fermion masses by linearizing around two $AdS_{5}$ vacua of the theory: one that breaks N=4 down to N=2 spontaneously, and a second one which preserves no supersymmetries. The truncations under consideration are noteworthy in that they retain massive modes which are charged under a U(1) subgroup of the $R$-symmetry, a feature that makes them interesting for applications to condensed matter phenomena via gauge/gravity duality. In this light, as an application of our general results we exhibit the coupling of the fermions to the type IIB holographic superconductor, and find a consistent further truncation of the fermion sector that retains a single spin-1/2 mode.
| 7.12907
| 6.406162
| 7.657542
| 6.23315
| 6.579243
| 6.794298
| 6.403716
| 6.158291
| 6.498034
| 7.92011
| 6.59746
| 6.662342
| 7.058585
| 6.802829
| 6.777857
| 6.91501
| 6.682443
| 6.767004
| 6.77596
| 6.983632
| 6.648698
|
hep-th/0412088
|
Nesic Ljubisa
|
Goran S. Djordjevic and Ljubisa Nesic
|
Towards Adelic Noncommutative Quantum Mechanics
|
8 pages, Talk presented at the 8th Adriatic Meeting, "Particle
Physics in the new Millennium", (Dubrovnik, Croatia)
|
CRM Springer Lecture Notes in Physics, 616 (2003) 25-32, Editors:
J. Trampetic and J. Wess
| null | null |
hep-th math-ph math.MP
| null |
A motivation of using noncommutative and nonarchimedean geometry on very
short distances is given. Besides some mathematical preliminaries, we give a
short introduction in adelic quantum mechanics. We also recall to basic ideas
and tools embedded in q-deformed and noncommutative quantum mechanics. A rather
fundamental approach, called deformation quantization, is noted. A few
relations between noncommutativity and nonarchimedean spaces as well as
similarities between corresponding quantum theories on them are pointed out. An
extended Moyal product in a proposed form of adelic noncommutative quantum
mechanics is considered. We suggest some question for future investigations.
|
[
{
"created": "Wed, 8 Dec 2004 15:50:11 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Djordjevic",
"Goran S.",
""
],
[
"Nesic",
"Ljubisa",
""
]
] |
A motivation of using noncommutative and nonarchimedean geometry on very short distances is given. Besides some mathematical preliminaries, we give a short introduction in adelic quantum mechanics. We also recall to basic ideas and tools embedded in q-deformed and noncommutative quantum mechanics. A rather fundamental approach, called deformation quantization, is noted. A few relations between noncommutativity and nonarchimedean spaces as well as similarities between corresponding quantum theories on them are pointed out. An extended Moyal product in a proposed form of adelic noncommutative quantum mechanics is considered. We suggest some question for future investigations.
| 16.61969
| 16.142254
| 15.75795
| 15.315434
| 15.626022
| 15.917128
| 15.743394
| 14.899793
| 15.824536
| 16.859097
| 15.793791
| 15.679732
| 15.824208
| 15.519202
| 16.025318
| 16.107883
| 15.812146
| 15.797447
| 15.898338
| 15.349801
| 15.073577
|
hep-th/9704021
|
M. Abouzeid
|
M. Abou Zeid and C. M. Hull
|
Intrinsic Geometry of D-Branes
|
10 pages, LaTeX, no figures. Minor correction; version to appear in
Physics Letters B
|
Phys.Lett. B404 (1997) 264-270
|
10.1016/S0370-2693(97)00570-4
|
QMW-PH-97-12
|
hep-th
| null |
We obtain forms of Born-Infeld and D-brane actions that are quadratic in
derivatives of $X$ and linear in $F_{\mu \nu}$ by introducing an auxiliary
`metric' which has both symmetric and anti-symmetric parts, generalising the
simplification of the Nambu-Goto action for $p$-branes using a symmetric
metric. The abelian gauge field appears as a Lagrange multiplier, and solving
the constraint gives the dual form of the $n$ dimensional action with an $n-3$
form gauge field instead of a vector gauge field. We construct the dual action
explicitly, including cases which could not be covered previously. The
generalisation to supersymmetric D-brane actions with local fermionic symmetry
is also discussed.
|
[
{
"created": "Wed, 2 Apr 1997 21:01:25 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Apr 1997 19:58:12 GMT",
"version": "v2"
},
{
"created": "Tue, 20 May 1997 16:05:53 GMT",
"version": "v3"
}
] |
2009-10-30
|
[
[
"Zeid",
"M. Abou",
""
],
[
"Hull",
"C. M.",
""
]
] |
We obtain forms of Born-Infeld and D-brane actions that are quadratic in derivatives of $X$ and linear in $F_{\mu \nu}$ by introducing an auxiliary `metric' which has both symmetric and anti-symmetric parts, generalising the simplification of the Nambu-Goto action for $p$-branes using a symmetric metric. The abelian gauge field appears as a Lagrange multiplier, and solving the constraint gives the dual form of the $n$ dimensional action with an $n-3$ form gauge field instead of a vector gauge field. We construct the dual action explicitly, including cases which could not be covered previously. The generalisation to supersymmetric D-brane actions with local fermionic symmetry is also discussed.
| 9.776676
| 8.79746
| 10.225752
| 9.229432
| 9.173044
| 8.939326
| 8.688793
| 8.905787
| 9.134465
| 10.399024
| 8.767949
| 9.352034
| 9.642457
| 9.01002
| 8.899591
| 8.977939
| 9.093051
| 9.119205
| 9.269567
| 9.4866
| 8.987667
|
0810.4648
|
Pedro J. Silva
|
Pedro J. Silva
|
The M2/M5 BPS Partition Functions from Supergravity
|
9 pages, 2 columns, 4 figures, revtex, typos corrected, reference
added
|
JHEP 0901:083,2009
|
10.1088/1126-6708/2009/01/083
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the framework of the AdS/CFT duality, we calculate the supersymmetric
partition function of the superconformal field theories living in the world
volume of either $N$ $M2$-branes or $N$ $M5$-branes. We used the dual
supergravity partition function in a saddle point approximation over
supersymmetric Black Holes. Since our BHs are written in asymptotically global
$AdS_{d+1}$ co-ordinates, the dual SCFTs are in $R x S^{d}$ for $d=2,5$. The
resulting partition function shows phase transitions, constraints on the phase
space and allowed us to identify unstable BPS Black hole in the $AdS$ phase.
These configurations should correspond to unstable configurations in the dual
theory. We also report an intriguing relation between the most general Witten
Index, computed in the above theories, and our BPS partition functions.
|
[
{
"created": "Sat, 25 Oct 2008 21:39:45 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Nov 2008 11:25:39 GMT",
"version": "v2"
}
] |
2009-02-09
|
[
[
"Silva",
"Pedro J.",
""
]
] |
In the framework of the AdS/CFT duality, we calculate the supersymmetric partition function of the superconformal field theories living in the world volume of either $N$ $M2$-branes or $N$ $M5$-branes. We used the dual supergravity partition function in a saddle point approximation over supersymmetric Black Holes. Since our BHs are written in asymptotically global $AdS_{d+1}$ co-ordinates, the dual SCFTs are in $R x S^{d}$ for $d=2,5$. The resulting partition function shows phase transitions, constraints on the phase space and allowed us to identify unstable BPS Black hole in the $AdS$ phase. These configurations should correspond to unstable configurations in the dual theory. We also report an intriguing relation between the most general Witten Index, computed in the above theories, and our BPS partition functions.
| 10.75906
| 11.003469
| 13.26145
| 10.340273
| 11.185892
| 11.158468
| 11.37509
| 10.651462
| 10.662941
| 14.556628
| 10.224663
| 10.310382
| 11.504931
| 10.687887
| 10.56957
| 10.753872
| 10.63988
| 10.226457
| 10.411602
| 11.336392
| 10.456044
|
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