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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9708004
|
Bernd Schroers
|
F.A. Bais and B.J. Schroers
|
Quantisation of Monopoles with Non-abelian Magnetic Charge
|
57 pages, harvmac, amssym, two eps figures, minor mistakes and typos
corrected, references added; to appear in Nucl. Phys. B
|
Nucl.Phys. B512 (1998) 250-294
|
10.1016/S0550-3213(97)00778-5
|
ITFA-97-28
|
hep-th
| null |
Magnetic monopoles in Yang-Mills-Higgs theory with a non-abelian unbroken
gauge group are classified by holomorphic charges in addition to the
topological charges familiar from the abelian case. As a result the moduli
spaces of monopoles of given topological charge are stratified according to the
holomorphic charges. Here the physical consequences of the stratification are
explored in the case where the gauge group SU(3) is broken to U(2). The
description due to A. Dancer of the moduli space of charge two monopoles is
reviewed and interpreted physically in terms of non-abelian magnetic dipole
moments. Semi-classical quantisation leads to dyonic states which are labelled
by a magnetic charge and a representation of the subgroup of U(2) which leaves
the magnetic charge invariant (centraliser subgroup). A key result of this
paper is that these states fall into representations of the semi-direct product
$U(2) \semidir R^4$. The combination rules (Clebsch-Gordan coefficients) of
dyonic states can thus be deduced. Electric-magnetic duality properties of the
theory are discussed in the light of our results, and supersymmetric dyonic BPS
states which fill the SL(2,Z)-orbit of the basic massive W-bosons are found.
|
[
{
"created": "Fri, 1 Aug 1997 16:29:57 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Oct 1997 08:50:56 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Bais",
"F. A.",
""
],
[
"Schroers",
"B. J.",
""
]
] |
Magnetic monopoles in Yang-Mills-Higgs theory with a non-abelian unbroken gauge group are classified by holomorphic charges in addition to the topological charges familiar from the abelian case. As a result the moduli spaces of monopoles of given topological charge are stratified according to the holomorphic charges. Here the physical consequences of the stratification are explored in the case where the gauge group SU(3) is broken to U(2). The description due to A. Dancer of the moduli space of charge two monopoles is reviewed and interpreted physically in terms of non-abelian magnetic dipole moments. Semi-classical quantisation leads to dyonic states which are labelled by a magnetic charge and a representation of the subgroup of U(2) which leaves the magnetic charge invariant (centraliser subgroup). A key result of this paper is that these states fall into representations of the semi-direct product $U(2) \semidir R^4$. The combination rules (Clebsch-Gordan coefficients) of dyonic states can thus be deduced. Electric-magnetic duality properties of the theory are discussed in the light of our results, and supersymmetric dyonic BPS states which fill the SL(2,Z)-orbit of the basic massive W-bosons are found.
| 7.359838
| 7.817446
| 8.151818
| 6.945532
| 7.78488
| 7.608608
| 7.473036
| 7.122983
| 7.244863
| 7.973395
| 7.044256
| 6.740229
| 7.225694
| 6.750896
| 6.748399
| 6.716165
| 6.895755
| 6.519636
| 6.983134
| 7.11624
| 6.680467
|
hep-th/0105124
|
Subir Ghosh
|
Subir Ghosh (Indian Statistical Inst., Calcutta)
|
Gauge Theoretic Approach to Fluid Dynamics
|
Slightly enlarged version with action formulation included
| null | null | null |
hep-th physics.flu-dyn
| null |
The Hamiltonian dynamics of a compressible inviscid fluid is formulated as a
gauge theory. The idea of gauge equivalence is exploited to unify the study of
apparantly distinct physical problems and solutions of new models can be
generated from known fluid velocity profiles.
|
[
{
"created": "Mon, 14 May 2001 05:18:37 GMT",
"version": "v1"
},
{
"created": "Mon, 21 May 2001 08:39:36 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Ghosh",
"Subir",
"",
"Indian Statistical Inst., Calcutta"
]
] |
The Hamiltonian dynamics of a compressible inviscid fluid is formulated as a gauge theory. The idea of gauge equivalence is exploited to unify the study of apparantly distinct physical problems and solutions of new models can be generated from known fluid velocity profiles.
| 23.936916
| 26.460043
| 25.063208
| 22.974386
| 25.458158
| 23.841118
| 22.199966
| 23.327818
| 24.431698
| 25.033987
| 21.364178
| 22.830112
| 25.36491
| 23.038216
| 22.413004
| 21.585611
| 23.282238
| 23.074116
| 22.945625
| 25.177698
| 23.693516
|
hep-th/9506198
|
Andre LeClair
|
Andre LeClair and Dennis Nemeschansky
|
Affine Lie Algebra Symmetry of Sine-Gordon Theory at Reflectionless
Points
|
8 pages, plaintex, uses harvmac
|
Mod.Phys.Lett. A11 (1996) 139-146
|
10.1142/S0217732396000163
|
CLNS 95/1340, CERN-Th/95-113
|
hep-th
| null |
The quantum affine symmetry of the sine-Gordon theory at q^2 = 1, which
occurs at the reflectionless points, is studied. Conserved currents that
correspond to the closure of simple root generators are considered, and shown
to be local. We argue that they satisfy the affine sl(2) algebra. Examples of
these currents are explicitly constructed.
|
[
{
"created": "Thu, 29 Jun 1995 20:09:03 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"LeClair",
"Andre",
""
],
[
"Nemeschansky",
"Dennis",
""
]
] |
The quantum affine symmetry of the sine-Gordon theory at q^2 = 1, which occurs at the reflectionless points, is studied. Conserved currents that correspond to the closure of simple root generators are considered, and shown to be local. We argue that they satisfy the affine sl(2) algebra. Examples of these currents are explicitly constructed.
| 15.63475
| 12.993182
| 16.903982
| 13.362993
| 14.424105
| 13.163994
| 14.059323
| 13.328008
| 14.067079
| 21.663607
| 12.712226
| 14.034909
| 15.072306
| 13.926153
| 14.869398
| 14.025221
| 14.290777
| 13.958854
| 14.235969
| 15.34864
| 14.147097
|
hep-th/0211081
|
D. V. Nesterov
|
D.V.Nesterov and A.O.Barvinsky
|
Duality of the Dirichlet and Neumann problems in braneworld physics
|
9 pages, Talk given by D.V.N. at the Third International Sakharov
Conference on Physics, June 2002, Moscow, Russia
| null | null | null |
hep-th
| null |
Braneworld effective action for two-brane model is constructed by two
different methods based respectively on the Dirichlet and Neumann boundary
value problems. The equivalence of these methods is shown due to nontrivial
duality relations between special boundary operators of these two problems.
|
[
{
"created": "Sun, 10 Nov 2002 09:40:37 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Nesterov",
"D. V.",
""
],
[
"Barvinsky",
"A. O.",
""
]
] |
Braneworld effective action for two-brane model is constructed by two different methods based respectively on the Dirichlet and Neumann boundary value problems. The equivalence of these methods is shown due to nontrivial duality relations between special boundary operators of these two problems.
| 15.476761
| 7.703414
| 13.954364
| 9.928178
| 9.251142
| 7.420488
| 8.663007
| 11.031454
| 10.14555
| 13.438295
| 10.823765
| 10.79239
| 13.536327
| 12.019571
| 11.330866
| 10.791615
| 11.090385
| 10.623379
| 12.131632
| 13.350098
| 11.88959
|
hep-th/9605204
|
A. K. Mishra
|
A.K.Mishra and G.Rajasekaran (Institute of Mathematical Sciences)
|
Generalized Fock Spaces, New Forms of Quantum Statistics and their
Algebras
|
This is a revised version of the earlier preprint: mp_arc 94-43.
Published version
|
Pramana 45 (1995) 91-139
|
10.1007/BF02848256
| null |
hep-th math.QA q-alg
| null |
We formulate a theory of generalized Fock spaces which underlies the
different forms of quantum statistics such as ``infinite'', Bose-Einstein and
Fermi-Dirac statistics. Single-indexed systems as well as multi-indexed systems
that cannot be mapped into single-indexed systems are studied. Our theory is
based on a three-tiered structure consisting of Fock space, statistics and
algebra. This general formalism not only unifies the various forms of
statistics and algebras, but also allows us to construct many new forms of
quantum statistics as well as many algebras of creation and destruction
operators. Some of these are : new algebras for infinite statistics,
q-statistics and its many avatars, a consistent algebra for fractional
statistics, null statistics or statistics of frozen order, ``doubly-infinite''
statistics, many representations of orthostatistics, Hubbard statistics and its
variations.
|
[
{
"created": "Wed, 29 May 1996 04:49:05 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Mishra",
"A. K.",
"",
"Institute of Mathematical Sciences"
],
[
"Rajasekaran",
"G.",
"",
"Institute of Mathematical Sciences"
]
] |
We formulate a theory of generalized Fock spaces which underlies the different forms of quantum statistics such as ``infinite'', Bose-Einstein and Fermi-Dirac statistics. Single-indexed systems as well as multi-indexed systems that cannot be mapped into single-indexed systems are studied. Our theory is based on a three-tiered structure consisting of Fock space, statistics and algebra. This general formalism not only unifies the various forms of statistics and algebras, but also allows us to construct many new forms of quantum statistics as well as many algebras of creation and destruction operators. Some of these are : new algebras for infinite statistics, q-statistics and its many avatars, a consistent algebra for fractional statistics, null statistics or statistics of frozen order, ``doubly-infinite'' statistics, many representations of orthostatistics, Hubbard statistics and its variations.
| 12.176172
| 13.291352
| 12.852105
| 12.168485
| 13.643682
| 12.868567
| 13.088322
| 12.02019
| 12.394404
| 13.662457
| 11.875988
| 12.386918
| 12.483089
| 11.535444
| 11.7977
| 11.646549
| 11.893837
| 11.981443
| 11.563585
| 12.256724
| 11.689393
|
hep-th/9907121
|
Zoltan Bajnok
|
Z. Bajnok
|
Defining relations for W-algebras from singular vectors
|
11 pages, LaTeX
|
Lett.Math.Phys. 49 (1999) 325-336
| null |
ITP Budapest Riport 550
|
hep-th
| null |
It is shown that the commutation relations of W-algebras can be recovered
from the singular vectors of their simplest nontrivial, completely degenerate
highest weight representation.
|
[
{
"created": "Thu, 15 Jul 1999 11:08:44 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Bajnok",
"Z.",
""
]
] |
It is shown that the commutation relations of W-algebras can be recovered from the singular vectors of their simplest nontrivial, completely degenerate highest weight representation.
| 11.424959
| 9.148993
| 13.696046
| 8.869152
| 9.169288
| 9.742204
| 8.119325
| 9.404004
| 9.431027
| 11.857535
| 8.607348
| 9.724194
| 13.359378
| 9.86722
| 9.105467
| 9.414091
| 9.558483
| 9.234737
| 9.829919
| 11.769842
| 9.040934
|
hep-th/9311169
| null |
David T. Barclay
|
Convergent WKB Series
|
9 pages, UICHEP-TH/93-16
| null |
10.1016/0375-9601(94)90841-9
| null |
hep-th
| null |
A set of simple exactly solvable potentials are shown to have convergent WKB
series. The resulting all-orders quantisation conditions provide a unified
description of all known cases where an exact WKB quantisation condition has
been obtained by modifying the potential with Langer-style terms, together with
several new examples.
|
[
{
"created": "Mon, 29 Nov 1993 17:49:32 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Barclay",
"David T.",
""
]
] |
A set of simple exactly solvable potentials are shown to have convergent WKB series. The resulting all-orders quantisation conditions provide a unified description of all known cases where an exact WKB quantisation condition has been obtained by modifying the potential with Langer-style terms, together with several new examples.
| 18.038162
| 18.276522
| 19.008394
| 14.739883
| 19.741222
| 18.182196
| 14.945836
| 17.99511
| 16.924839
| 17.65621
| 18.18556
| 17.362415
| 17.047171
| 16.409981
| 16.602715
| 17.120579
| 16.952381
| 16.71628
| 16.594906
| 16.820911
| 18.031546
|
hep-th/9504039
| null |
J. Barcelos-Neto, N.R.F. Braga and S.M. de Souza
|
Trace anomaly in the field-antifield formalism
|
7 pages, Latex
|
Class.Quant.Grav.13:1149-1154,1996
|
10.1088/0264-9381/13/5/025
|
UFRJ-IF-FPC-005/95
|
hep-th
| null |
The field-antifield quantization method is used to calculate the trace
anomaly for a massless scalar field in a curved background, by means of the
zeta function regularization procedure.
|
[
{
"created": "Fri, 7 Apr 1995 06:35:53 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Barcelos-Neto",
"J.",
""
],
[
"Braga",
"N. R. F.",
""
],
[
"de Souza",
"S. M.",
""
]
] |
The field-antifield quantization method is used to calculate the trace anomaly for a massless scalar field in a curved background, by means of the zeta function regularization procedure.
| 9.877543
| 5.541119
| 5.885653
| 5.715462
| 5.71287
| 5.733454
| 6.023491
| 5.294848
| 5.488353
| 7.630743
| 5.584379
| 6.377938
| 6.654457
| 6.194805
| 6.505509
| 6.763372
| 6.712109
| 6.301586
| 6.097148
| 6.477556
| 6.445436
|
hep-th/0201049
|
Rinat Kashaev
|
L. D. Faddeev and R. M. Kashaev
|
Strongly Coupled Quantum Discrete Liouville Theory. II: Geometric
Interpretation of the Evolution Operator
|
5 pages, 2 figures
|
J.Phys.A35:4043-4048,2002
|
10.1088/0305-4470/35/18/304
| null |
hep-th
| null |
It is shown that the N-th power of the light-cone evolution operator of
2N-periodic quantum discrete Liouville model can be identified with the Dehn
twist operator in quantum Teichmuller theory.
|
[
{
"created": "Tue, 8 Jan 2002 17:38:31 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Faddeev",
"L. D.",
""
],
[
"Kashaev",
"R. M.",
""
]
] |
It is shown that the N-th power of the light-cone evolution operator of 2N-periodic quantum discrete Liouville model can be identified with the Dehn twist operator in quantum Teichmuller theory.
| 13.633399
| 10.692567
| 15.38222
| 12.696136
| 11.251379
| 11.590535
| 13.617208
| 10.922664
| 10.998021
| 11.987842
| 11.670179
| 11.038234
| 13.873451
| 11.360066
| 10.831298
| 11.349587
| 12.348767
| 10.695524
| 11.258652
| 13.823582
| 11.170844
|
2309.02056
|
Hyun Seok Yang
|
Jeongwon Ho, Kyung Kiu Kim, Seoktae Koh, and Hyun Seok Yang
|
Generalization of Instanton-Induced Inflation and Dynamical
Compactification
|
v2: 29 pages, 5 figures. Published version in JHEP
|
JHEP 2311:050,2023
|
10.1007/JHEP11(2023)050
| null |
hep-th gr-qc hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
It was shown that Yang-Mills instantons on an internal space can trigger the
expansion of our four-dimensional universe as well as the dynamical
compactification of the internal space. We generalize the instanton-induced
inflation and dynamical compactification to general Einstein manifolds with
positive curvature and also to the FLRW metric with spatial curvature. We
explicitly construct Yang-Mills instantons on all Einstein manifolds under
consideration and find that the homogeneous and isotropic universe is allowed
only if the internal space is homogeneous. We then consider the FLRW metric
with spatial curvature as a solution of the eight-dimensional
Einstein-Yang-Mills theory. We find that open universe $(k=-1)$ admits bouncing
solutions unlike the other cases $(k=0, +1)$.
|
[
{
"created": "Tue, 5 Sep 2023 08:58:04 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Nov 2023 08:25:03 GMT",
"version": "v2"
}
] |
2023-11-14
|
[
[
"Ho",
"Jeongwon",
""
],
[
"Kim",
"Kyung Kiu",
""
],
[
"Koh",
"Seoktae",
""
],
[
"Yang",
"Hyun Seok",
""
]
] |
It was shown that Yang-Mills instantons on an internal space can trigger the expansion of our four-dimensional universe as well as the dynamical compactification of the internal space. We generalize the instanton-induced inflation and dynamical compactification to general Einstein manifolds with positive curvature and also to the FLRW metric with spatial curvature. We explicitly construct Yang-Mills instantons on all Einstein manifolds under consideration and find that the homogeneous and isotropic universe is allowed only if the internal space is homogeneous. We then consider the FLRW metric with spatial curvature as a solution of the eight-dimensional Einstein-Yang-Mills theory. We find that open universe $(k=-1)$ admits bouncing solutions unlike the other cases $(k=0, +1)$.
| 8.276662
| 7.867302
| 7.914228
| 7.452048
| 8.152237
| 8.114743
| 7.94032
| 7.492517
| 7.398865
| 8.387592
| 7.584031
| 7.992424
| 8.189957
| 7.890349
| 8.017294
| 8.442493
| 7.73682
| 7.555121
| 7.910046
| 7.937522
| 7.971962
|
2101.07262
|
Yin-Chen He
|
Yin-Chen He, Junchen Rong, and Ning Su
|
A roadmap for bootstrapping critical gauge theories: decoupling
operators of conformal field theories in $d>2$ dimensions
|
V2 update: the bootstrap island of scalar QED in 3d has been produced
in this version (see Fig. 3)!
|
SciPost Phys. 11, 111 (2021)
|
10.21468/SciPostPhys.11.6.111
| null |
hep-th cond-mat.str-el
|
http://creativecommons.org/licenses/by/4.0/
|
We propose a roadmap for bootstrapping conformal field theories (CFTs)
described by gauge theories in dimensions $d>2$. In particular, we provide a
simple and workable answer to the question of how to detect the gauge group in
the bootstrap calculation. Our recipe is based on the notion of
\emph{decoupling operator}, which has a simple (gauge) group theoretical
origin, and is reminiscent of the null operator of $2d$ Wess-Zumino-Witten CFTs
in higher dimensions. Using the decoupling operator we can efficiently detect
the rank (i.e. color number) of gauge groups, e.g., by imposing gap conditions
in the CFT spectrum. We also discuss the physics of the equation of motion,
which has interesting consequences in the CFT spectrum as well. As an
application of our recipes, we study a prototypical critical gauge theory,
namely the scalar QED which has a $U(1)$ gauge field interacting with critical
bosons. We show that the scalar QED can be solved by conformal bootstrap,
namely we have obtained its kinks and islands in both $d=3$ and $d=2+\epsilon$
dimensions.
|
[
{
"created": "Mon, 18 Jan 2021 19:00:00 GMT",
"version": "v1"
},
{
"created": "Tue, 11 May 2021 01:06:58 GMT",
"version": "v2"
},
{
"created": "Wed, 4 Aug 2021 18:30:40 GMT",
"version": "v3"
}
] |
2021-12-29
|
[
[
"He",
"Yin-Chen",
""
],
[
"Rong",
"Junchen",
""
],
[
"Su",
"Ning",
""
]
] |
We propose a roadmap for bootstrapping conformal field theories (CFTs) described by gauge theories in dimensions $d>2$. In particular, we provide a simple and workable answer to the question of how to detect the gauge group in the bootstrap calculation. Our recipe is based on the notion of \emph{decoupling operator}, which has a simple (gauge) group theoretical origin, and is reminiscent of the null operator of $2d$ Wess-Zumino-Witten CFTs in higher dimensions. Using the decoupling operator we can efficiently detect the rank (i.e. color number) of gauge groups, e.g., by imposing gap conditions in the CFT spectrum. We also discuss the physics of the equation of motion, which has interesting consequences in the CFT spectrum as well. As an application of our recipes, we study a prototypical critical gauge theory, namely the scalar QED which has a $U(1)$ gauge field interacting with critical bosons. We show that the scalar QED can be solved by conformal bootstrap, namely we have obtained its kinks and islands in both $d=3$ and $d=2+\epsilon$ dimensions.
| 8.18646
| 8.521935
| 9.063871
| 8.177503
| 8.530058
| 8.780784
| 8.571244
| 8.137937
| 8.122046
| 9.782355
| 8.52107
| 8.115298
| 8.266656
| 7.93753
| 8.02564
| 7.978309
| 8.176577
| 8.209143
| 8.176308
| 8.309247
| 8.115778
|
hep-th/9705018
|
Michael Mueger
|
Michael Mueger
|
On Charged Fields with Group Symmetry and Degeneracies of Verlinde's
Matrix S
|
latex2e, 24 pages. Final version, to appear in Ann. Inst. H. Poinc.
(Theor. Phys.). A serious gap in the proof of Prop. 2.3 has been filled in,
but only under a rationality assumption. The main application to rational
CQFTs is not affected, in fact strenghtened by the new Props. 3.8 and 3.14.
Some remarks have been added
|
Annales Poincare Phys.Theor. 71 (1999) 359-394
| null |
DESY 97-080
|
hep-th
| null |
We consider the complete normal field net with compact symmetry group
constructed by Doplicher and Roberts starting from a net of local observables
in >=2+1 spacetime dimensions and its set of localized (DHR) representations.
We prove that the field net does not possess nontrivial DHR sectors, provided
the observables have only finitely many sectors. Whereas the superselection
structure in 1+1 dimensions typically does not arise from a group, the DR
construction is applicable to `degenerate sectors', the existence of which (in
the rational case) is equivalent to non-invertibility of Verlinde's S-matrix.
We prove Rehren's conjecture that the enlarged theory is non-degenerate, which
implies that every degenerate theory is an `orbifold' theory. Thus, the
symmetry of a generic model `factorizes' into a group part and a pure quantum
part which still must be clarified.
|
[
{
"created": "Mon, 5 May 1997 11:52:04 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Mar 1998 11:43:07 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Mueger",
"Michael",
""
]
] |
We consider the complete normal field net with compact symmetry group constructed by Doplicher and Roberts starting from a net of local observables in >=2+1 spacetime dimensions and its set of localized (DHR) representations. We prove that the field net does not possess nontrivial DHR sectors, provided the observables have only finitely many sectors. Whereas the superselection structure in 1+1 dimensions typically does not arise from a group, the DR construction is applicable to `degenerate sectors', the existence of which (in the rational case) is equivalent to non-invertibility of Verlinde's S-matrix. We prove Rehren's conjecture that the enlarged theory is non-degenerate, which implies that every degenerate theory is an `orbifold' theory. Thus, the symmetry of a generic model `factorizes' into a group part and a pure quantum part which still must be clarified.
| 14.484603
| 17.520407
| 17.543293
| 15.934461
| 16.292606
| 16.095005
| 15.532616
| 16.687384
| 15.326503
| 19.33069
| 15.337868
| 14.158934
| 15.849762
| 14.411472
| 14.49769
| 14.160608
| 13.968021
| 14.489127
| 14.365749
| 15.205457
| 13.882616
|
1805.04743
|
Grigoris Panotopoulos
|
Grigoris Panotopoulos
|
Quasinormal modes of the BTZ black hole under scalar perturbations with
a non-minimal coupling: Exact spectrum
|
16 pages, 2 figures, 3 tables
| null |
10.1007/s10714-018-2381-5
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We perturb the non-rotating BTZ black hole with a non-minimally coupled
massless scalar field, and we compute the quasinormal spectrum exactly. We
solve the radial equation in terms of hypergeometric functions, and we obtain
an analytical expression for the quasinormal frequencies. In addition, we
compare our analytical results with the 6th order semi-analytical WKB method,
and we find an excellent agreement. The impact of the nonminimal coupling as
well as of the cosmological constant on the quasinormal spectrum is briefly
discussed.
|
[
{
"created": "Sat, 12 May 2018 15:52:09 GMT",
"version": "v1"
}
] |
2018-05-15
|
[
[
"Panotopoulos",
"Grigoris",
""
]
] |
We perturb the non-rotating BTZ black hole with a non-minimally coupled massless scalar field, and we compute the quasinormal spectrum exactly. We solve the radial equation in terms of hypergeometric functions, and we obtain an analytical expression for the quasinormal frequencies. In addition, we compare our analytical results with the 6th order semi-analytical WKB method, and we find an excellent agreement. The impact of the nonminimal coupling as well as of the cosmological constant on the quasinormal spectrum is briefly discussed.
| 4.936863
| 4.436482
| 3.870565
| 3.794818
| 3.74684
| 3.747062
| 3.99888
| 3.855601
| 4.057866
| 4.048895
| 4.178258
| 4.37413
| 4.134918
| 4.25089
| 4.22006
| 4.206746
| 4.319013
| 4.042382
| 4.386026
| 4.266951
| 4.495765
|
1711.10472
|
Jerome Quintin
|
Chunshan Lin, Jerome Quintin, Robert H. Brandenberger
|
Massive gravity and the suppression of anisotropies and gravitational
waves in a matter-dominated contracting universe
|
20 pages, 2 figures
|
JCAP01(2018)011
|
10.1088/1475-7516/2018/01/011
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a modified gravity model with a massive graviton, but which
nevertheless only propagates two gravitational degrees of freedom and which is
free of ghosts. We show that non-singular bouncing cosmological background
solutions can be generated. In addition, the mass term for the graviton
prevents anisotropies from blowing up in the contracting phase and also
suppresses the spectrum of gravitational waves compared to that of the scalar
cosmological perturbations. This addresses two of the main problems of the
matter bounce scenario.
|
[
{
"created": "Tue, 28 Nov 2017 18:59:29 GMT",
"version": "v1"
}
] |
2018-01-16
|
[
[
"Lin",
"Chunshan",
""
],
[
"Quintin",
"Jerome",
""
],
[
"Brandenberger",
"Robert H.",
""
]
] |
We consider a modified gravity model with a massive graviton, but which nevertheless only propagates two gravitational degrees of freedom and which is free of ghosts. We show that non-singular bouncing cosmological background solutions can be generated. In addition, the mass term for the graviton prevents anisotropies from blowing up in the contracting phase and also suppresses the spectrum of gravitational waves compared to that of the scalar cosmological perturbations. This addresses two of the main problems of the matter bounce scenario.
| 8.370818
| 8.407313
| 7.799692
| 7.647704
| 9.067795
| 8.681749
| 9.053958
| 7.46341
| 8.017169
| 7.767115
| 7.484753
| 8.299505
| 8.014806
| 7.823954
| 8.42996
| 8.03645
| 7.712109
| 7.928667
| 7.743775
| 7.865334
| 7.722705
|
2105.12771
|
Antonio Rotundo
|
Ben Freivogel, Dora Nikolakopoulou and Antonio F. Rotundo
|
Wormholes from Averaging over States
|
38 pages, 2 figures; v2: minor corrections added, accepted for
publication in SciPost
|
SciPost Phys. 14, 026 (2023)
|
10.21468/SciPostPhys.14.3.026
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
An important question about black holes is to what extent a typical pure
state differs from the ensemble average. We show that this question can be
answered within semi-classical gravity. We focus on the quantum deviation,
which measures the fluctuations in the expectation value of an operator in an
ensemble of pure states. For a large class of ensembles and observables, these
fluctuations are calculated by a correlation function in the eternal black hole
background, which can be reliably calculated within semi-classical gravity.
This implements the idea of [arXiv:2002.02971] that wormholes can arise from
averages over states rather than theories. As an application, we calculate the
size of the long-time correlation function $\langle A(t) A(0)\rangle$.
|
[
{
"created": "Wed, 26 May 2021 18:09:31 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Feb 2022 11:28:27 GMT",
"version": "v2"
}
] |
2023-03-08
|
[
[
"Freivogel",
"Ben",
""
],
[
"Nikolakopoulou",
"Dora",
""
],
[
"Rotundo",
"Antonio F.",
""
]
] |
An important question about black holes is to what extent a typical pure state differs from the ensemble average. We show that this question can be answered within semi-classical gravity. We focus on the quantum deviation, which measures the fluctuations in the expectation value of an operator in an ensemble of pure states. For a large class of ensembles and observables, these fluctuations are calculated by a correlation function in the eternal black hole background, which can be reliably calculated within semi-classical gravity. This implements the idea of [arXiv:2002.02971] that wormholes can arise from averages over states rather than theories. As an application, we calculate the size of the long-time correlation function $\langle A(t) A(0)\rangle$.
| 10.248143
| 9.468864
| 10.322649
| 8.819168
| 9.809001
| 9.849961
| 9.613681
| 8.880219
| 8.885265
| 10.781331
| 9.068019
| 8.924787
| 9.660392
| 9.140614
| 9.27819
| 8.911579
| 9.39145
| 9.174436
| 9.038313
| 9.455503
| 9.188166
|
0807.0777
|
Nikolay Gromov
|
Nikolay Gromov, Pedro Vieira
|
The all loop AdS4/CFT3 Bethe ansatz
|
References added. Factor of 2 in the discussion of the (generalized)
scaling function fixed
|
JHEP 0901:016,2009
|
10.1088/1126-6708/2009/01/016
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a set of Bethe equations yielding the full asymptotic spectrum of
the AdS4/CFT3 duality proposed in arXiv:0806.1218 to all orders in the t'Hooft
coupling. These equations interpolate between the 2-loop Bethe ansatz of
Minahan and Zarembo arXiv:0806.3951 and the string algebraic curve of
arXiv:0807.0437. The several SU(2|2) symmetries of the theory seem to highly
constrain the form of the Bethe equations up to a dressing factor whose form we
also conjecture.
|
[
{
"created": "Mon, 7 Jul 2008 19:53:11 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Jul 2008 16:24:47 GMT",
"version": "v2"
}
] |
2009-02-12
|
[
[
"Gromov",
"Nikolay",
""
],
[
"Vieira",
"Pedro",
""
]
] |
We propose a set of Bethe equations yielding the full asymptotic spectrum of the AdS4/CFT3 duality proposed in arXiv:0806.1218 to all orders in the t'Hooft coupling. These equations interpolate between the 2-loop Bethe ansatz of Minahan and Zarembo arXiv:0806.3951 and the string algebraic curve of arXiv:0807.0437. The several SU(2|2) symmetries of the theory seem to highly constrain the form of the Bethe equations up to a dressing factor whose form we also conjecture.
| 6.847241
| 6.171823
| 10.602575
| 6.564433
| 6.39338
| 5.728326
| 6.531647
| 6.653584
| 6.097354
| 11.411835
| 5.751575
| 5.799246
| 7.811481
| 5.865335
| 5.889484
| 5.902822
| 5.782184
| 5.870471
| 5.862095
| 7.623236
| 5.756205
|
1712.08998
|
Kiyoshi Shiraishi
|
Atsushi Nakamula, Kiyoshi Shiraishi
|
Phase Transition and String Formation in Six-Dimensional Gauge Theory
|
9 pages, no figure
|
Progress of Theoretical Physics 84, No.6, pp. 1100-1107 (1990)
|
10.1143/ptp/84.6.1100
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider an SU(2) gauge theory in six-dimensions. We show that there
exists non-trivial structure of gauge vacua in compactified background M4xS2.
In this circumstances, there can exist a cosmic string, whose solution is
recently constructed by the present authors. We consider the stage of the
formation of the strings, i.e., the phase transition of the gauge configuration
on the sphere in the `hot' early universe. We find that if SU(2)-doublet
fermions are the dominant component of the radiation at high temperatures, the
phase transition successively occurs after the spontaneous-compactification
transition. Otherwise, non-trivial vacuum with `monopole' configuration of the
SU(2) gauge field never appears globally and strings must be formed at the same
time as the extra space is compactified.
|
[
{
"created": "Mon, 25 Dec 2017 03:32:08 GMT",
"version": "v1"
}
] |
2017-12-27
|
[
[
"Nakamula",
"Atsushi",
""
],
[
"Shiraishi",
"Kiyoshi",
""
]
] |
We consider an SU(2) gauge theory in six-dimensions. We show that there exists non-trivial structure of gauge vacua in compactified background M4xS2. In this circumstances, there can exist a cosmic string, whose solution is recently constructed by the present authors. We consider the stage of the formation of the strings, i.e., the phase transition of the gauge configuration on the sphere in the `hot' early universe. We find that if SU(2)-doublet fermions are the dominant component of the radiation at high temperatures, the phase transition successively occurs after the spontaneous-compactification transition. Otherwise, non-trivial vacuum with `monopole' configuration of the SU(2) gauge field never appears globally and strings must be formed at the same time as the extra space is compactified.
| 14.028224
| 14.201929
| 13.348929
| 12.903646
| 14.067682
| 12.712008
| 13.963806
| 13.473246
| 12.49467
| 14.85218
| 12.984177
| 13.165425
| 13.43976
| 13.045665
| 13.850142
| 13.256448
| 13.300066
| 13.280544
| 13.197722
| 13.35493
| 12.845038
|
1211.6776
|
Sergey Gavrilov P
|
S.P. Gavrilov and D.M. Gitman
|
Creation of neutral fermions with anomalous magnetic moments from a
vacuum by inhomogeneous magnetic field
|
20 pages, discussion of dark matter and 5 refs. added, misprints
corrected, version published by Phys. Rev. D
|
Physical Review D 87, 125025 (2013)
|
10.1103/PhysRevD.87.125025
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A consistent nonperturbative approach (based on QFT) to neutral fermion
creation (due to their magnetic moments) in strong inhomogeneous magnetic
fields is considered. It is demonstrated that quantization in terms of neutral
particles and antiparticles is possible in terms of the states with
well-defined spin polarization. Such states are localizable and can form wave
packets in a given asymptotic region. In this case, the problem can be
technically reduced to the problem of charged-particle creation by an electric
step. In particular, the relation to the Schwinger method of an effective
action is established. As an example, we calculate neutral fermion creation
from the vacuum by a linearly growing magnetic field. We show that the total
number and the vacuum-to-vacuum transition probability of created pairs depend
only on the gradient of the magnetic field, but not on its strength, and this
fact does not depend on the spacetime dimension. We show that the created flux
aimed in one of the directions is formed from fluxes of particles and
antiparticles of equal intensity and with the same magnetic moments parallel to
the external field. In such a flux, particle and antiparticle velocities that
are perpendicular to the plane of the magnetic moment and flux direction are
essentially depressed. The creation of neutral fermions with anomalous magnetic
moments leads to a smoothing of the initial magnetic field, which in turn
prevents appearance of superstrong constant magnetic fields. Our estimations
show that the vacuum instability with respect to the creation of neutrinos and
even neutrons in strong magnetic fields of the magnetars and fields generated
during a supernova explosion has to be taken into account in the astrophysics.
In particular, it may be of significance for dark matter studies.
|
[
{
"created": "Wed, 28 Nov 2012 22:54:20 GMT",
"version": "v1"
},
{
"created": "Sat, 23 Feb 2013 20:51:03 GMT",
"version": "v2"
},
{
"created": "Fri, 21 Jun 2013 21:57:41 GMT",
"version": "v3"
}
] |
2013-06-26
|
[
[
"Gavrilov",
"S. P.",
""
],
[
"Gitman",
"D. M.",
""
]
] |
A consistent nonperturbative approach (based on QFT) to neutral fermion creation (due to their magnetic moments) in strong inhomogeneous magnetic fields is considered. It is demonstrated that quantization in terms of neutral particles and antiparticles is possible in terms of the states with well-defined spin polarization. Such states are localizable and can form wave packets in a given asymptotic region. In this case, the problem can be technically reduced to the problem of charged-particle creation by an electric step. In particular, the relation to the Schwinger method of an effective action is established. As an example, we calculate neutral fermion creation from the vacuum by a linearly growing magnetic field. We show that the total number and the vacuum-to-vacuum transition probability of created pairs depend only on the gradient of the magnetic field, but not on its strength, and this fact does not depend on the spacetime dimension. We show that the created flux aimed in one of the directions is formed from fluxes of particles and antiparticles of equal intensity and with the same magnetic moments parallel to the external field. In such a flux, particle and antiparticle velocities that are perpendicular to the plane of the magnetic moment and flux direction are essentially depressed. The creation of neutral fermions with anomalous magnetic moments leads to a smoothing of the initial magnetic field, which in turn prevents appearance of superstrong constant magnetic fields. Our estimations show that the vacuum instability with respect to the creation of neutrinos and even neutrons in strong magnetic fields of the magnetars and fields generated during a supernova explosion has to be taken into account in the astrophysics. In particular, it may be of significance for dark matter studies.
| 10.157821
| 11.343432
| 10.447969
| 9.973837
| 10.69
| 11.073677
| 10.778208
| 10.362106
| 10.017491
| 11.643201
| 10.107469
| 10.529384
| 10.172961
| 10.197848
| 9.726988
| 9.950615
| 10.081623
| 10.116343
| 9.755013
| 10.253016
| 9.893224
|
1004.0068
|
Hassan Firouzjahi
|
Hassan Firouzjahi, Salomeh Khoeini-Moghaddam and Shahram Khosravi
|
Cosmic Strings Collision in Cosmological Backgrounds
|
24 pages, 13 figures
|
Phys.Rev.D81:123506,2010
|
10.1103/PhysRevD.81.123506
| null |
hep-th astro-ph.CO hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The collisions of cosmic strings loops and the dynamics of junctions
formations in expanding backgrounds are studied. The key parameter controlling
the dynamics of junctions formation, the cosmic strings zipping and unzipping
is the relative size of the loops compared to the Hubble expansion rate at the
time of collision. We study analytically and numerically these processes for
large super-horizon size loops, for small sub-horizon size loops as well as for
loops with the radii comparable to the Hubble expansion rate at the time of
collision.
|
[
{
"created": "Thu, 1 Apr 2010 07:05:51 GMT",
"version": "v1"
}
] |
2015-03-13
|
[
[
"Firouzjahi",
"Hassan",
""
],
[
"Khoeini-Moghaddam",
"Salomeh",
""
],
[
"Khosravi",
"Shahram",
""
]
] |
The collisions of cosmic strings loops and the dynamics of junctions formations in expanding backgrounds are studied. The key parameter controlling the dynamics of junctions formation, the cosmic strings zipping and unzipping is the relative size of the loops compared to the Hubble expansion rate at the time of collision. We study analytically and numerically these processes for large super-horizon size loops, for small sub-horizon size loops as well as for loops with the radii comparable to the Hubble expansion rate at the time of collision.
| 8.452102
| 8.306974
| 7.836726
| 7.652489
| 7.818659
| 7.870081
| 7.624899
| 7.84447
| 7.522812
| 9.017858
| 7.543623
| 8.023911
| 8.135967
| 7.777374
| 7.515486
| 7.778068
| 7.552647
| 8.200393
| 7.894506
| 7.987387
| 7.913451
|
1903.01311
|
Raoul Letschka
|
Cesar Gomez, Raoul Letschka
|
Masses and electric charges: gauge anomalies and anomalous thresholds
|
22 pages
| null |
10.1140/epjc/s10052-020-08478-7
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We work out in the forward limit and up to order $e^6$ in perturbation theory
the collinear divergences. In this kinematical regime we discover new collinear
divergences that we argue can be only cancelled using quantum interference with
processes contributing to the gauge anomaly. This rules out the possibility of
a quantum consistent and anomaly free theory with massless charges and long
range interactions. We use the anomalous threshold singularities to derive a
gravitational lower bound on the mass of the lightest charged fermion.
|
[
{
"created": "Mon, 4 Mar 2019 15:38:06 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Mar 2019 15:53:08 GMT",
"version": "v2"
},
{
"created": "Thu, 19 Sep 2019 12:58:25 GMT",
"version": "v3"
}
] |
2020-10-28
|
[
[
"Gomez",
"Cesar",
""
],
[
"Letschka",
"Raoul",
""
]
] |
We work out in the forward limit and up to order $e^6$ in perturbation theory the collinear divergences. In this kinematical regime we discover new collinear divergences that we argue can be only cancelled using quantum interference with processes contributing to the gauge anomaly. This rules out the possibility of a quantum consistent and anomaly free theory with massless charges and long range interactions. We use the anomalous threshold singularities to derive a gravitational lower bound on the mass of the lightest charged fermion.
| 18.964151
| 14.946633
| 14.843226
| 13.966197
| 14.512959
| 14.901339
| 13.756893
| 14.898645
| 13.35186
| 15.226012
| 14.913914
| 14.89582
| 14.854176
| 14.519544
| 14.18901
| 15.240577
| 14.59156
| 15.351745
| 13.915894
| 14.704888
| 14.365973
|
hep-th/9110076
| null |
Krzysztof Gawedzki
|
Non-Compact WZW Conformal Field Theories
| null | null | null | null |
hep-th
| null |
We discuss non-compact WZW sigma models, especially the ones with symmetric
space $H^{\bf C}/H$ as the target, for $H$ a compact Lie group. They offer
examples of non-rational conformal field theories. We remind their relation to
the compact WZW models but stress their distinctive features like the
continuous spectrum of conformal weights, diverging partition functions and the
presence of two types of operators analogous to the local and non-local
insertions recently discussed in the Liouville theory. Gauging non-compact
abelian subgroups of $H^{\bf C}$ leads to non-rational coset theories. In
particular, gauging one-parameter boosts in the $SL(2,\bC)/SU(2)$ model gives
an alternative, explicitly stable construction of a conformal sigma model with
the euclidean 2D black hole target. We compute the (regularized) toroidal
partition function and discuss the spectrum of the theory. A comparison is made
with more standard approach based on the $U(1)$ coset of the $SU(1,1)$ WZW
theory where stability is not evident but where unitarity becomes more
transparent.
|
[
{
"created": "Thu, 31 Oct 1991 09:05:52 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Gawedzki",
"Krzysztof",
""
]
] |
We discuss non-compact WZW sigma models, especially the ones with symmetric space $H^{\bf C}/H$ as the target, for $H$ a compact Lie group. They offer examples of non-rational conformal field theories. We remind their relation to the compact WZW models but stress their distinctive features like the continuous spectrum of conformal weights, diverging partition functions and the presence of two types of operators analogous to the local and non-local insertions recently discussed in the Liouville theory. Gauging non-compact abelian subgroups of $H^{\bf C}$ leads to non-rational coset theories. In particular, gauging one-parameter boosts in the $SL(2,\bC)/SU(2)$ model gives an alternative, explicitly stable construction of a conformal sigma model with the euclidean 2D black hole target. We compute the (regularized) toroidal partition function and discuss the spectrum of the theory. A comparison is made with more standard approach based on the $U(1)$ coset of the $SU(1,1)$ WZW theory where stability is not evident but where unitarity becomes more transparent.
| 9.461146
| 9.219876
| 11.34699
| 9.022693
| 9.454222
| 8.952005
| 9.0881
| 8.890924
| 8.992564
| 12.620406
| 9.02581
| 9.025793
| 9.829861
| 9.220991
| 9.285417
| 9.342772
| 9.368243
| 9.211751
| 9.442216
| 10.030469
| 9.103598
|
hep-th/0501080
|
Jan Kratochvil
|
Mariel Desroche, Gary N. Felder, Jan M. Kratochvil, Andrei Linde
|
Preheating in New Inflation
|
21 pages, 7 figures, revtex4
|
Phys.Rev.D71:103516,2005
|
10.1103/PhysRevD.71.103516
|
SU-ITP-5/02
|
hep-th astro-ph gr-qc hep-ph
| null |
During the last ten years a detailed investigation of preheating was
performed for chaotic inflation and for hybrid inflation. However,
nonperturbative effects during reheating in the new inflation scenario remained
practically unexplored. We do a full analysis of preheating in new inflation,
using a combination of analytical and numerical methods. We find that the decay
of the homogeneous component of the inflaton field and the resulting process of
spontaneous symmetry breaking in the simplest models of new inflation usually
occurs almost instantly: for the new inflation on the GUT scale it takes only
about 5 oscillations of the field distribution. The decay of the homogeneous
inflaton field is so efficient because of a combined effect of tachyonic
preheating and parametric resonance. At that stage, the homogeneous oscillating
inflaton field decays into a collection of waves of the inflaton field, with a
typical wavelength of the order of the inverse inflaton mass. This stage
usually is followed by a long stage of decay of the inflaton field into other
particles, which can be described by the perturbative approach to reheating
after inflation. The resulting reheating temperature typically is rather low.
|
[
{
"created": "Tue, 11 Jan 2005 23:59:56 GMT",
"version": "v1"
}
] |
2009-09-29
|
[
[
"Desroche",
"Mariel",
""
],
[
"Felder",
"Gary N.",
""
],
[
"Kratochvil",
"Jan M.",
""
],
[
"Linde",
"Andrei",
""
]
] |
During the last ten years a detailed investigation of preheating was performed for chaotic inflation and for hybrid inflation. However, nonperturbative effects during reheating in the new inflation scenario remained practically unexplored. We do a full analysis of preheating in new inflation, using a combination of analytical and numerical methods. We find that the decay of the homogeneous component of the inflaton field and the resulting process of spontaneous symmetry breaking in the simplest models of new inflation usually occurs almost instantly: for the new inflation on the GUT scale it takes only about 5 oscillations of the field distribution. The decay of the homogeneous inflaton field is so efficient because of a combined effect of tachyonic preheating and parametric resonance. At that stage, the homogeneous oscillating inflaton field decays into a collection of waves of the inflaton field, with a typical wavelength of the order of the inverse inflaton mass. This stage usually is followed by a long stage of decay of the inflaton field into other particles, which can be described by the perturbative approach to reheating after inflation. The resulting reheating temperature typically is rather low.
| 6.743554
| 7.221968
| 6.517434
| 6.568237
| 7.236849
| 7.183037
| 6.967024
| 6.965075
| 6.493395
| 7.320333
| 6.755297
| 6.367541
| 6.55845
| 6.368065
| 6.558833
| 6.546214
| 6.539168
| 6.577481
| 6.258468
| 6.6238
| 6.352419
|
1201.1762
|
Shingo Torii
|
Shingo Torii
|
Validity of Gauge-Fixing Conditions and the Structure of Propagators in
Open Superstring Field Theory
|
LaTeX2e, 79 pages, 2 figures; v2: 80 pages, typos corrected, minor
changes; v3: Footnotes 15 and 16, and a few sentences have been added in
order to clarify the argument. typos corrected, published in JHEP; v4: typos
in equation (6.76) corrected
|
JHEP 1204 (2012) 050
|
10.1007/JHEP04(2012)050
|
UT-Komaba/12-2
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We make a detailed analysis on validity of gauge-fixing conditions and the
structure of propagators in the Wess-Zumino-Witten-type open superstring field
theory. First, we generalize the gauge-fixing conditions considered in JHEP 03
(2012) 030 [arXiv:1201.1761] by the present author et al., and propose a large
class of conditions characterized by zero modes of world-sheet oscillators.
Then we demonstrate its validity: we prove that gauge degrees of freedom allow
us to impose the conditions, and that the conditions fix the gauges completely.
Moreover, we elucidate how the information about the gauge choices is reflected
in the structure of propagators. The results can be readily extended to the
case in which gauge-fixing conditions involve linear combinations of the
world-sheet oscillators, including nonzero modes. We investigate also such
extended gauges, which are the counterpart of linear $b$-gauges in bosonic
string field theory, and obtain the corresponding propagators.
|
[
{
"created": "Mon, 9 Jan 2012 13:59:55 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Feb 2012 12:47:04 GMT",
"version": "v2"
},
{
"created": "Wed, 11 Apr 2012 17:05:27 GMT",
"version": "v3"
},
{
"created": "Tue, 5 Feb 2013 08:47:38 GMT",
"version": "v4"
}
] |
2013-02-06
|
[
[
"Torii",
"Shingo",
""
]
] |
We make a detailed analysis on validity of gauge-fixing conditions and the structure of propagators in the Wess-Zumino-Witten-type open superstring field theory. First, we generalize the gauge-fixing conditions considered in JHEP 03 (2012) 030 [arXiv:1201.1761] by the present author et al., and propose a large class of conditions characterized by zero modes of world-sheet oscillators. Then we demonstrate its validity: we prove that gauge degrees of freedom allow us to impose the conditions, and that the conditions fix the gauges completely. Moreover, we elucidate how the information about the gauge choices is reflected in the structure of propagators. The results can be readily extended to the case in which gauge-fixing conditions involve linear combinations of the world-sheet oscillators, including nonzero modes. We investigate also such extended gauges, which are the counterpart of linear $b$-gauges in bosonic string field theory, and obtain the corresponding propagators.
| 9.004812
| 8.953378
| 9.406415
| 8.205681
| 8.6515
| 8.786413
| 9.443778
| 8.402955
| 8.402348
| 10.169258
| 8.297627
| 8.617116
| 8.894983
| 8.531701
| 8.298727
| 8.628382
| 8.910252
| 8.51991
| 8.601645
| 8.666588
| 8.425733
|
hep-th/0207129
|
Ansar Fayyazuddin
|
Ansar Fayyazuddin
|
Supersymmetric webs of D3/D5-branes in supergravity
| null |
JHEP 0303:033,2003
|
10.1088/1126-6708/2003/03/033
|
MIT-CTP-3262
|
hep-th
| null |
We study webs of D3- and D5-branes in type IIB supergravity. These webs
preserve at least 8 supercharges. By solving the Killing spinor equations we
determine the form of supergravity solutions for the system. We then turn to
the sub-class of the intersecting D3/D5 brane system and elucidate some of its
features.
|
[
{
"created": "Fri, 12 Jul 2002 21:18:21 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Fayyazuddin",
"Ansar",
""
]
] |
We study webs of D3- and D5-branes in type IIB supergravity. These webs preserve at least 8 supercharges. By solving the Killing spinor equations we determine the form of supergravity solutions for the system. We then turn to the sub-class of the intersecting D3/D5 brane system and elucidate some of its features.
| 9.345908
| 8.445835
| 10.69957
| 8.542994
| 8.723854
| 8.700028
| 8.660069
| 7.53759
| 8.6207
| 9.818419
| 7.957761
| 8.410249
| 9.178123
| 8.403046
| 8.566547
| 8.50027
| 8.87253
| 8.151344
| 8.55018
| 9.101549
| 7.91493
|
1610.00018
|
Roman Buniy
|
Roman V. Buniy
|
An iterative method for spherical bounces
|
23 pages, 4 figures
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We develop a new iterative method for finding approximate solutions for
spherical bounces associated with the decay of the false vacuum in scalar field
theories. The method works for any generic potential in any number of
dimensions, contains Coleman's thin-wall approximation as its first iteration,
and greatly improves its accuracy by including higher order terms.
|
[
{
"created": "Fri, 30 Sep 2016 20:02:14 GMT",
"version": "v1"
}
] |
2016-10-04
|
[
[
"Buniy",
"Roman V.",
""
]
] |
We develop a new iterative method for finding approximate solutions for spherical bounces associated with the decay of the false vacuum in scalar field theories. The method works for any generic potential in any number of dimensions, contains Coleman's thin-wall approximation as its first iteration, and greatly improves its accuracy by including higher order terms.
| 15.112109
| 10.433527
| 12.660304
| 10.506207
| 11.345685
| 10.897603
| 9.952626
| 10.109505
| 9.410854
| 14.85662
| 11.382477
| 10.065744
| 11.455142
| 10.757775
| 10.062078
| 9.853688
| 9.898602
| 10.964143
| 10.488201
| 11.530588
| 11.659204
|
hep-th/9808056
|
Shamit Kachru
|
Shamit Kachru (UC Berkeley), Eva Silverstein (SLAC)
|
Self-Dual Nonsupersymmetric Type II String Compactifications
|
9 pages, harvmac big; typo in references corrected
|
JHEP 9811:001,1998
|
10.1088/1126-6708/1998/11/001
|
LBNL-42139, SLAC-PUB-7907, UCB-PTH-98/40
|
hep-th
| null |
It has recently been proposed that certain nonsupersymmetric type II
orbifolds have vanishing perturbative contributions to the cosmological
constant. We show that techniques of Sen and Vafa allow one to construct dual
type II descriptions of these models (some of which have no weakly coupled
heterotic dual). The dual type II models are given by the same orbifolds with
the string coupling $S$ and a $T^2$ volume $T$ exchanged. This allows us to
argue that in various strongly coupled limits of the original type II models,
there are weakly coupled duals which exhibit the same perturbative
cancellations as the original models.
|
[
{
"created": "Mon, 10 Aug 1998 17:22:07 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Aug 1998 20:07:45 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Kachru",
"Shamit",
"",
"UC Berkeley"
],
[
"Silverstein",
"Eva",
"",
"SLAC"
]
] |
It has recently been proposed that certain nonsupersymmetric type II orbifolds have vanishing perturbative contributions to the cosmological constant. We show that techniques of Sen and Vafa allow one to construct dual type II descriptions of these models (some of which have no weakly coupled heterotic dual). The dual type II models are given by the same orbifolds with the string coupling $S$ and a $T^2$ volume $T$ exchanged. This allows us to argue that in various strongly coupled limits of the original type II models, there are weakly coupled duals which exhibit the same perturbative cancellations as the original models.
| 7.17287
| 7.059336
| 8.111601
| 6.89371
| 8.114776
| 7.566115
| 8.265405
| 7.480983
| 7.025384
| 7.632403
| 6.876951
| 6.970776
| 7.61837
| 6.695757
| 7.102638
| 6.826433
| 6.694641
| 6.82629
| 6.702709
| 7.662144
| 6.712406
|
2302.01251
|
Max Downing
|
Max Downing, Sameer Murthy, Gerard M. T. Watts
|
Modular symmetry of massive free fermions
| null | null | null | null |
hep-th
|
http://creativecommons.org/publicdomain/zero/1.0/
|
We construct an infinite set of conserved tensor currents of rank $2n$,
$n=1,2,\dots$, in the two-dimensional theory of free massive fermions, which
are bilinear in the fermionic fields. The one-point functions of these currents
on the torus depend on the modular parameter $\tau$ and spin structure
$(\alpha,\beta)$. We show that, upon scaling the mass $m$ so as to keep the
combination $m^2$Im($\tau$) invariant, the one-point functions are
non-holomorphic Jacobi forms of weights $(2n,0)$ or $(0,2n)$ and index 0, with
respect to the modular parameter $\tau$ and elliptic parameter
$z=\alpha\tau+\beta$. In particular, we express the one-point functions as
Kronecker-Eisenstein-type sums over the lattice $\mathbb{Z}\tau+\mathbb{Z}$,
which makes the modular symmetry manifest. We show that there is an action of
three differential operators on these Jacobi forms which form an
$\mathfrak{sl}_2(\mathbb{R})$ Lie algebra. Further we show that these Jacobi
forms obey three differential equations arising from the representation theory
of the Jacobi group.
|
[
{
"created": "Thu, 2 Feb 2023 17:36:34 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Feb 2023 17:20:11 GMT",
"version": "v2"
}
] |
2023-02-20
|
[
[
"Downing",
"Max",
""
],
[
"Murthy",
"Sameer",
""
],
[
"Watts",
"Gerard M. T.",
""
]
] |
We construct an infinite set of conserved tensor currents of rank $2n$, $n=1,2,\dots$, in the two-dimensional theory of free massive fermions, which are bilinear in the fermionic fields. The one-point functions of these currents on the torus depend on the modular parameter $\tau$ and spin structure $(\alpha,\beta)$. We show that, upon scaling the mass $m$ so as to keep the combination $m^2$Im($\tau$) invariant, the one-point functions are non-holomorphic Jacobi forms of weights $(2n,0)$ or $(0,2n)$ and index 0, with respect to the modular parameter $\tau$ and elliptic parameter $z=\alpha\tau+\beta$. In particular, we express the one-point functions as Kronecker-Eisenstein-type sums over the lattice $\mathbb{Z}\tau+\mathbb{Z}$, which makes the modular symmetry manifest. We show that there is an action of three differential operators on these Jacobi forms which form an $\mathfrak{sl}_2(\mathbb{R})$ Lie algebra. Further we show that these Jacobi forms obey three differential equations arising from the representation theory of the Jacobi group.
| 5.091262
| 5.498633
| 5.890839
| 5.13725
| 5.267145
| 5.939387
| 5.860888
| 5.530292
| 5.335447
| 5.484057
| 5.403574
| 4.95244
| 5.2412
| 4.973046
| 4.95297
| 5.009362
| 4.891656
| 5.053729
| 4.864745
| 5.514945
| 4.827668
|
2212.14637
|
Sayali Bhatkar
|
Sayali Bhatkar and Diksha Jain
|
Perturbative soft photon theorems in de Sitter spacetime
| null | null | null | null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by-sa/4.0/
|
We define a perturbative S-matrix in a local patch of de Sitter background in
the limit when the curvature length scale ($\ell$) is large and study the
'soft' behavior of the scalar QED amplitudes in de Sitter spacetime in generic
dimensions. We obtain the leading and subleading perturbative corrections to
flat space soft photon theorems in the large $\ell$ limit, and comment on the
universality of these corrections. We compare our results with the
electromagnetic memory tails obtained earlier in $d=4$ using classical
radiation analysis.
|
[
{
"created": "Fri, 30 Dec 2022 11:24:21 GMT",
"version": "v1"
}
] |
2023-01-02
|
[
[
"Bhatkar",
"Sayali",
""
],
[
"Jain",
"Diksha",
""
]
] |
We define a perturbative S-matrix in a local patch of de Sitter background in the limit when the curvature length scale ($\ell$) is large and study the 'soft' behavior of the scalar QED amplitudes in de Sitter spacetime in generic dimensions. We obtain the leading and subleading perturbative corrections to flat space soft photon theorems in the large $\ell$ limit, and comment on the universality of these corrections. We compare our results with the electromagnetic memory tails obtained earlier in $d=4$ using classical radiation analysis.
| 11.470592
| 10.591228
| 10.46467
| 10.036632
| 10.009396
| 9.939236
| 10.32755
| 10.056784
| 10.093692
| 11.971681
| 9.792768
| 10.676353
| 10.575402
| 10.034282
| 10.175562
| 10.44633
| 10.676229
| 10.362369
| 10.129229
| 10.365259
| 10.587196
|
hep-th/9209033
|
Ramy Brustein
|
R. Brustein and B. Ovrut
|
Non-perturbative interactions in string theory
|
6 pages, double coulumn Latex, 3 figures not included available as
eps files on request, UPR-524T
| null |
10.1063/1.43395
| null |
hep-th
| null |
New non-perturbative interactions in the effective action of two dimensional
string theory are described. These interactions are due to ``stringy"
instantons
|
[
{
"created": "Thu, 10 Sep 1992 21:57:07 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Brustein",
"R.",
""
],
[
"Ovrut",
"B.",
""
]
] |
New non-perturbative interactions in the effective action of two dimensional string theory are described. These interactions are due to ``stringy" instantons
| 16.630962
| 8.397189
| 11.546946
| 8.804235
| 8.070063
| 10.044177
| 7.195886
| 9.104846
| 7.945903
| 12.080144
| 8.282267
| 9.157426
| 13.027582
| 9.940589
| 9.221541
| 9.426077
| 9.446529
| 9.115634
| 9.282285
| 12.502033
| 9.112347
|
0903.2042
|
Adam Wardlow
|
Paul Mansfield and Adam Wardlow
|
Infinite Dimensional Symmetries of Self-Dual Yang-Mills
|
29 pages, 8 figures
|
JHEP 0908:072,2009
|
10.1088/1126-6708/2009/08/072
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct symmetries of the Chalmers-Siegel action describing self-dual
Yang-Mills theory using a canonical transformation to a free theory. The
symmetries form an infinite dimensional Lie algebra in the group algebra of
isometries.
|
[
{
"created": "Thu, 12 Mar 2009 16:05:43 GMT",
"version": "v1"
},
{
"created": "Sat, 18 Apr 2009 14:15:36 GMT",
"version": "v2"
},
{
"created": "Sun, 10 May 2009 14:07:14 GMT",
"version": "v3"
},
{
"created": "Thu, 23 Jul 2009 19:22:49 GMT",
"version": "v4"
},
{
"created": "Thu, 23 Jul 2009 21:44:47 GMT",
"version": "v5"
}
] |
2009-09-29
|
[
[
"Mansfield",
"Paul",
""
],
[
"Wardlow",
"Adam",
""
]
] |
We construct symmetries of the Chalmers-Siegel action describing self-dual Yang-Mills theory using a canonical transformation to a free theory. The symmetries form an infinite dimensional Lie algebra in the group algebra of isometries.
| 13.529045
| 9.405682
| 15.559373
| 9.832204
| 11.976044
| 10.377649
| 10.957355
| 9.98735
| 11.186609
| 14.989255
| 10.42781
| 10.545941
| 12.827227
| 10.646498
| 10.524615
| 10.277561
| 10.764993
| 10.737258
| 10.807308
| 12.07509
| 10.759284
|
1610.00150
|
Andrea Quadri
|
A. Quadri
|
Higgs Potential from Derivative Interactions
|
28 pages, 2 figures. Expanded discussion in Sect. VII. Final version
to be published in the journal
| null |
10.1142/S0217751X17500890
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A formulation of the linear $\sigma$ model with derivative interactions is
studied. The classical theory is on-shell equivalent to the $\sigma$ model with
the standard quartic Higgs potential. The mass of the scalar mode only appears
in the quadratic part and not in the interaction vertices, unlike in the
ordinary formulation of the theory. Renormalization of the model is discussed.
A non power-counting renormalizable extension, obeying the defining functional
identities of the theory, is presented. This extension is physically equivalent
to the tree-level inclusion of a dimension six effective operator $\partial_\mu
(\Phi^\dagger \Phi) \partial^\mu (\Phi^\dagger \Phi)$. The resulting UV
divergences are arranged in a perturbation series around the power-counting
renormalizable theory. The application of the formalism to the Standard Model
in the presence of the dimension-six operator $\partial_\mu (\Phi^\dagger \Phi)
\partial^\mu (\Phi^\dagger \Phi)$ is discussed.
|
[
{
"created": "Sat, 1 Oct 2016 15:40:49 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Feb 2017 15:59:26 GMT",
"version": "v2"
},
{
"created": "Sun, 14 May 2017 11:29:37 GMT",
"version": "v3"
}
] |
2017-06-28
|
[
[
"Quadri",
"A.",
""
]
] |
A formulation of the linear $\sigma$ model with derivative interactions is studied. The classical theory is on-shell equivalent to the $\sigma$ model with the standard quartic Higgs potential. The mass of the scalar mode only appears in the quadratic part and not in the interaction vertices, unlike in the ordinary formulation of the theory. Renormalization of the model is discussed. A non power-counting renormalizable extension, obeying the defining functional identities of the theory, is presented. This extension is physically equivalent to the tree-level inclusion of a dimension six effective operator $\partial_\mu (\Phi^\dagger \Phi) \partial^\mu (\Phi^\dagger \Phi)$. The resulting UV divergences are arranged in a perturbation series around the power-counting renormalizable theory. The application of the formalism to the Standard Model in the presence of the dimension-six operator $\partial_\mu (\Phi^\dagger \Phi) \partial^\mu (\Phi^\dagger \Phi)$ is discussed.
| 5.981168
| 6.057488
| 5.862517
| 5.594163
| 6.2633
| 6.441117
| 6.007375
| 5.93438
| 5.596891
| 6.215169
| 5.916326
| 5.61256
| 5.361611
| 5.350946
| 5.573032
| 5.740191
| 5.594564
| 5.761319
| 5.489362
| 5.291137
| 5.636868
|
hep-th/9910019
|
Jose Fernandez Barbon
|
J.L.F. Barbon and E. Rabinovici
|
On 1/N Corrections to the Entropy of Noncommutative Yang-Mills Theories
|
14 pages, Latex. References added and typos corrected
|
JHEP 9912 (1999) 017
|
10.1088/1126-6708/1999/12/017
|
US-FT/21-99, RI-15/99
|
hep-th
| null |
We study thermodynamical aspects of string theory in the limit in which it
corresponds to Noncommutative Yang-Mills. We confirm, using the AdS/CFT
correspondence, that for general Dp branes the entropy in the planar
approximation depends neither on the value of the background magnetic field B
nor on its rank. We find 1/N corrections to the planar entropy in the WKB
approximation. For all appropriate values of p these corrections are much
softer than the corresponding corrections for the B=0 case, and vanish
altogether in the high temperature limit.
|
[
{
"created": "Fri, 1 Oct 1999 23:20:32 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Oct 1999 17:46:03 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Barbon",
"J. L. F.",
""
],
[
"Rabinovici",
"E.",
""
]
] |
We study thermodynamical aspects of string theory in the limit in which it corresponds to Noncommutative Yang-Mills. We confirm, using the AdS/CFT correspondence, that for general Dp branes the entropy in the planar approximation depends neither on the value of the background magnetic field B nor on its rank. We find 1/N corrections to the planar entropy in the WKB approximation. For all appropriate values of p these corrections are much softer than the corresponding corrections for the B=0 case, and vanish altogether in the high temperature limit.
| 10.442501
| 9.652073
| 10.970557
| 10.198669
| 10.247116
| 10.214305
| 10.008687
| 9.976819
| 10.236821
| 12.686681
| 10.266981
| 9.773024
| 10.969411
| 9.838134
| 10.131577
| 9.741592
| 9.997771
| 10.00089
| 9.728961
| 10.823455
| 9.6989
|
0910.3220
|
Christopher Pope
|
G.W. Gibbons, Joaquim Gomis and C.N. Pope
|
Deforming the Maxwell-Sim Algebra
|
Appendix on Lifshitz and Schrodinger algebras added
|
Phys.Rev.D82:065002,2010
|
10.1103/PhysRevD.82.065002
|
ICCUB-09-227, MIFP-09-42, UB-ECM-PF-09/23, DAMTP-2009-56
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Maxwell alegbra is a non-central extension of the Poincar\'e algebra, in
which the momentum generators no longer commute, but satisfy
$[P_\mu,P_\nu]=Z_{\mu\nu}$. The charges $Z_{\mu\nu}$ commute with the momenta,
and transform tensorially under the action of the angular momentum generators.
If one constructs an action for a massive particle, invariant under these
symmetries, one finds that it satisfies the equations of motion of a charged
particle interacting with a constant electromagnetic field via the Lorentz
force. In this paper, we explore the analogous constructions where one starts
instead with the ISim subalgebra of Poincar\'e, this being the symmetry algebra
of Very Special Relativity. It admits an analogous non-central extension, and
we find that a particle action invariant under this Maxwell-Sim algebra again
describes a particle subject to the ordinary Lorentz force. One can also deform
the ISim algebra to DISim$_b$, where $b$ is a non-trivial dimensionless
parameter. We find that the motion described by an action invariant under the
corresponding Maxwell-DISim algebra is that of a particle interacting via a
Finslerian modification of the Lorentz force.
|
[
{
"created": "Fri, 16 Oct 2009 20:16:22 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Apr 2010 15:05:49 GMT",
"version": "v2"
}
] |
2014-11-20
|
[
[
"Gibbons",
"G. W.",
""
],
[
"Gomis",
"Joaquim",
""
],
[
"Pope",
"C. N.",
""
]
] |
The Maxwell alegbra is a non-central extension of the Poincar\'e algebra, in which the momentum generators no longer commute, but satisfy $[P_\mu,P_\nu]=Z_{\mu\nu}$. The charges $Z_{\mu\nu}$ commute with the momenta, and transform tensorially under the action of the angular momentum generators. If one constructs an action for a massive particle, invariant under these symmetries, one finds that it satisfies the equations of motion of a charged particle interacting with a constant electromagnetic field via the Lorentz force. In this paper, we explore the analogous constructions where one starts instead with the ISim subalgebra of Poincar\'e, this being the symmetry algebra of Very Special Relativity. It admits an analogous non-central extension, and we find that a particle action invariant under this Maxwell-Sim algebra again describes a particle subject to the ordinary Lorentz force. One can also deform the ISim algebra to DISim$_b$, where $b$ is a non-trivial dimensionless parameter. We find that the motion described by an action invariant under the corresponding Maxwell-DISim algebra is that of a particle interacting via a Finslerian modification of the Lorentz force.
| 6.167668
| 6.911882
| 7.364947
| 6.402244
| 7.623257
| 6.781693
| 6.946661
| 6.937817
| 6.67679
| 7.405726
| 6.616174
| 6.590881
| 6.444573
| 6.445467
| 6.368165
| 6.277039
| 6.223039
| 6.389355
| 6.491579
| 6.401247
| 6.156915
|
hep-th/0010024
|
Peter Suranyi
|
A. Herat, R. Rademacher, and P. Suranyi
|
Curved, extended classical solutions I. The undulating kink
|
7 pages, LaTeX
|
Phys.Rev. D63 (2001) 027702
|
10.1103/PhysRevD.63.027702
| null |
hep-th
| null |
The energy of extended classical objects, such as vortices, depends on their
shape. In particular, we show that the curvature energy of a kink in two
spatial dimensions, as a prototype of extended classical solutions, is always
negative. We obtain a closed form for the curvature energy, assuming small
deviations from the straight line.
|
[
{
"created": "Wed, 4 Oct 2000 20:47:32 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Herat",
"A.",
""
],
[
"Rademacher",
"R.",
""
],
[
"Suranyi",
"P.",
""
]
] |
The energy of extended classical objects, such as vortices, depends on their shape. In particular, we show that the curvature energy of a kink in two spatial dimensions, as a prototype of extended classical solutions, is always negative. We obtain a closed form for the curvature energy, assuming small deviations from the straight line.
| 11.395634
| 9.519423
| 10.540353
| 10.701309
| 10.160081
| 9.617331
| 9.743616
| 10.179041
| 9.505181
| 12.147794
| 9.962722
| 9.908672
| 10.803951
| 10.409432
| 10.203904
| 10.324239
| 10.68261
| 10.237149
| 10.009171
| 11.207002
| 10.006013
|
2006.06656
|
Peter Millington
|
Jean Alexandre, John Ellis, Peter Millington
|
Discrete spacetime symmetries and particle mixing in non-Hermitian
scalar quantum field theories
|
44 pages, revtex format; to match published version, including a
revised discussion of particle mixing and oscillations
|
Phys. Rev. D 102, 125030 (2020)
|
10.1103/PhysRevD.102.125030
|
KCL-PH-TH/2020-19, CERN-TH-2020-063
|
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss second quantization, discrete symmetry transformations and inner
products in free non-Hermitian scalar quantum field theories with PT symmetry,
focusing on a prototype model of two complex scalar fields with anti-Hermitian
mass mixing. Whereas the definition of the inner product is unique for theories
described by Hermitian Hamiltonians, its formulation is not unique for
non-Hermitian Hamiltonians. Energy eigenstates are not orthogonal with respect
to the conventional Dirac inner product, so we must consider additional
discrete transformations to define a positive-definite norm. We clarify the
relationship between canonical-conjugate operators and introduce the additional
discrete symmetry C', previously introduced for quantum-mechanical systems, and
show that the C'PT inner product does yield a positive-definite norm, and hence
is appropriate for defining the Fock space in non-Hermitian models with PT
symmetry in terms of energy eigenstates. We also discuss similarity
transformations between PT-symmetric non-Hermitian scalar quantum field
theories and Hermitian theories, showing that they would require modification
in the presence of interactions. As an illustration of our discussion, we
compare particle mixing in a Hermitian theory and in the corresponding
non-Hermitian model with PT symmetry, showing how the latter maintains
unitarity and exhibits mixing between scalar and pseudoscalar bosons.
|
[
{
"created": "Thu, 11 Jun 2020 17:48:51 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Jun 2020 17:43:54 GMT",
"version": "v2"
},
{
"created": "Mon, 4 Jan 2021 18:08:47 GMT",
"version": "v3"
}
] |
2021-01-05
|
[
[
"Alexandre",
"Jean",
""
],
[
"Ellis",
"John",
""
],
[
"Millington",
"Peter",
""
]
] |
We discuss second quantization, discrete symmetry transformations and inner products in free non-Hermitian scalar quantum field theories with PT symmetry, focusing on a prototype model of two complex scalar fields with anti-Hermitian mass mixing. Whereas the definition of the inner product is unique for theories described by Hermitian Hamiltonians, its formulation is not unique for non-Hermitian Hamiltonians. Energy eigenstates are not orthogonal with respect to the conventional Dirac inner product, so we must consider additional discrete transformations to define a positive-definite norm. We clarify the relationship between canonical-conjugate operators and introduce the additional discrete symmetry C', previously introduced for quantum-mechanical systems, and show that the C'PT inner product does yield a positive-definite norm, and hence is appropriate for defining the Fock space in non-Hermitian models with PT symmetry in terms of energy eigenstates. We also discuss similarity transformations between PT-symmetric non-Hermitian scalar quantum field theories and Hermitian theories, showing that they would require modification in the presence of interactions. As an illustration of our discussion, we compare particle mixing in a Hermitian theory and in the corresponding non-Hermitian model with PT symmetry, showing how the latter maintains unitarity and exhibits mixing between scalar and pseudoscalar bosons.
| 8.017983
| 7.949378
| 8.710975
| 7.58152
| 8.579664
| 7.817137
| 7.942457
| 7.553495
| 7.401974
| 8.743394
| 7.984885
| 8.002167
| 8.12069
| 7.682346
| 7.747929
| 8.029052
| 7.865821
| 7.74161
| 7.879504
| 8.251813
| 7.678347
|
hep-th/9303086
|
Karyn M. Apfeldorf
|
J. Gomis, J. Herrero, K. Kamimura and J. Roca
|
Zero-curvature condition in two dimensions. Relativistic particle models
and finite \W-transformations
|
14 pages, UTTG-04-93
|
Prog.Theor.Phys. 91 (1994) 413-418
|
10.1143/ptp/91.2.413
| null |
hep-th
| null |
A relation between an $Sp(2M)$ gauge particle model and the zero-curvature
condition in a two-dimensional gauge theory is presented. For the $Sp(4)$ case
we construct finite \W-transformations.
|
[
{
"created": "Mon, 15 Mar 1993 20:25:44 GMT",
"version": "v1"
}
] |
2017-02-01
|
[
[
"Gomis",
"J.",
""
],
[
"Herrero",
"J.",
""
],
[
"Kamimura",
"K.",
""
],
[
"Roca",
"J.",
""
]
] |
A relation between an $Sp(2M)$ gauge particle model and the zero-curvature condition in a two-dimensional gauge theory is presented. For the $Sp(4)$ case we construct finite \W-transformations.
| 25.44755
| 14.335774
| 22.272282
| 16.128447
| 15.183815
| 15.039966
| 15.162851
| 14.944982
| 14.795356
| 22.482758
| 15.144874
| 17.122551
| 18.28265
| 17.80687
| 16.993979
| 17.490376
| 15.922035
| 17.290592
| 17.666237
| 20.830931
| 17.572498
|
1412.1809
|
Yu-tin Huang
|
Wei-Ming Chen, Yu-tin Huang, Congkao Wen
|
New fermionic soft theorems
|
5 pages, V2 typos fixed published version
|
Phys. Rev. Lett. 115, 021603 (2015)
|
10.1103/PhysRevLett.115.021603
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Soft limits of massless S-matrix are known to reflect symmetries of the
theory. In particular for theories with Goldstone bosons, the double-soft limit
of scalars reveals the coset structure of the vacuum manifold. In this letter,
we propose that such universal double-soft behavior is not only true for
scalars, but also for spin-1/2 particles in four dimensions and fermions in
three dimensions. We first consider Akulov-Volkov theory, and demonstrate the
double soft-limit of goldstinos yields the supersymmetry algebra. More
surprisingly we also find amplitudes in 3<N<=8 supergravity theories in four
dimensions as well as N=16 supergravity in three dimensions behave universally
in the double-soft-fermion limit, analogue to the scalar ones. The validity of
the new soft theorems at loop level is also studied. The results for
supergravity are beyond what is implied by SUSY Ward identities, and may impose
non-trivial constraints on the possible counter terms for supergravity
theories.
|
[
{
"created": "Thu, 4 Dec 2014 20:43:26 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Jul 2015 17:23:06 GMT",
"version": "v2"
}
] |
2015-07-23
|
[
[
"Chen",
"Wei-Ming",
""
],
[
"Huang",
"Yu-tin",
""
],
[
"Wen",
"Congkao",
""
]
] |
Soft limits of massless S-matrix are known to reflect symmetries of the theory. In particular for theories with Goldstone bosons, the double-soft limit of scalars reveals the coset structure of the vacuum manifold. In this letter, we propose that such universal double-soft behavior is not only true for scalars, but also for spin-1/2 particles in four dimensions and fermions in three dimensions. We first consider Akulov-Volkov theory, and demonstrate the double soft-limit of goldstinos yields the supersymmetry algebra. More surprisingly we also find amplitudes in 3<N<=8 supergravity theories in four dimensions as well as N=16 supergravity in three dimensions behave universally in the double-soft-fermion limit, analogue to the scalar ones. The validity of the new soft theorems at loop level is also studied. The results for supergravity are beyond what is implied by SUSY Ward identities, and may impose non-trivial constraints on the possible counter terms for supergravity theories.
| 9.089129
| 9.284518
| 9.420242
| 8.618981
| 9.005718
| 8.629175
| 8.927136
| 8.92537
| 8.90343
| 10.70915
| 8.914153
| 8.672932
| 8.709633
| 8.438904
| 8.824036
| 8.609951
| 8.506063
| 8.439153
| 8.566774
| 8.679201
| 8.615729
|
2311.12940
|
Juan Pedraza
|
Elena C\'aceres, Ayan K. Patra and Juan F. Pedraza
|
Shock waves, black hole interiors and holographic RG flows
|
36 pages, multiple figures. v2: references added. v3: matches JHEP
version
| null |
10.1007/JHEP07(2024)052
|
UTWI-42-2023, IFT-UAM/CSIC-23-148
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study holographic renormalization group (RG) flows perturbed by a shock
wave in dimensions $d\geq 2$. The flows are obtained by deforming a holographic
conformal field theory with a relevant operator, altering the interior geometry
from AdS-Schwarzschild to a more general Kasner universe near the spacelike
singularity. We introduce null matter in the form of a shock wave into this
geometry and scrutinize its impact on the near-horizon and interior dynamics of
the black hole. Using out-of-time-order correlators, we find that the
scrambling time increases as we increase the strength of the deformation,
whereas the butterfly velocity displays a non-monotonic behavior. We examine
other observables that are more sensitive to the black hole interior, such as
the thermal $a$-function and the entanglement velocity. Notably, the
$a$-function experiences a discontinuous jump across the shock wave, signaling
an instantaneous loss of degrees of freedom due to the infalling matter. This
jump is interpreted as a `cosmological time skip' which arises from an
infinitely boosted length contraction. The entanglement velocity exhibits
similar dependence to the butterfly velocity as we vary the strength of the
deformation. Lastly, we extend our analyses to a model where the interior
geometry undergoes an infinite sequence of bouncing Kasner epochs.
|
[
{
"created": "Tue, 21 Nov 2023 19:03:36 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Jan 2024 14:18:51 GMT",
"version": "v2"
},
{
"created": "Mon, 8 Jul 2024 12:35:13 GMT",
"version": "v3"
}
] |
2024-07-09
|
[
[
"Cáceres",
"Elena",
""
],
[
"Patra",
"Ayan K.",
""
],
[
"Pedraza",
"Juan F.",
""
]
] |
We study holographic renormalization group (RG) flows perturbed by a shock wave in dimensions $d\geq 2$. The flows are obtained by deforming a holographic conformal field theory with a relevant operator, altering the interior geometry from AdS-Schwarzschild to a more general Kasner universe near the spacelike singularity. We introduce null matter in the form of a shock wave into this geometry and scrutinize its impact on the near-horizon and interior dynamics of the black hole. Using out-of-time-order correlators, we find that the scrambling time increases as we increase the strength of the deformation, whereas the butterfly velocity displays a non-monotonic behavior. We examine other observables that are more sensitive to the black hole interior, such as the thermal $a$-function and the entanglement velocity. Notably, the $a$-function experiences a discontinuous jump across the shock wave, signaling an instantaneous loss of degrees of freedom due to the infalling matter. This jump is interpreted as a `cosmological time skip' which arises from an infinitely boosted length contraction. The entanglement velocity exhibits similar dependence to the butterfly velocity as we vary the strength of the deformation. Lastly, we extend our analyses to a model where the interior geometry undergoes an infinite sequence of bouncing Kasner epochs.
| 7.758147
| 7.224319
| 8.36982
| 7.161529
| 7.297934
| 7.546482
| 7.339084
| 7.314387
| 7.169778
| 8.502145
| 7.03871
| 7.4542
| 7.640833
| 7.290831
| 7.240785
| 7.315396
| 7.543086
| 7.420881
| 7.449222
| 7.532612
| 7.266638
|
1305.6066
|
Armen Poghosyan
|
Armen Poghosyan and Hayk Poghosyan
|
Mixing with descendant fields in perturbed minimal CFT models
|
13 pages; minor corrections; version published in JHEP
|
JHEP10(2013)131
|
10.1007/JHEP10(2013)131
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We extend the analysis of the RG trajectory connecting successive minimal CFT
models ${\cal M}_p$ and ${\cal M}_{p-1}$ for $p\gg 1$, performed by A.
Zamolodchikov, to the fields $\varphi_{n,n\pm 3}$. This required a close
investigation of mixing with the descendant fields at the level 2. In
particular we identify those specific linear combinations of UV fields which
flow to the IR fields $\varphi_{n+3,n}$ and $\varphi_{n-3,n}$. We report also
the results of the calculation of the same mixing coefficients through the
recent RG domain wall approach by Gaiotto. These results are in complete
agreement with the leading order perturbation theory.
|
[
{
"created": "Sun, 26 May 2013 20:03:30 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Oct 2013 18:12:07 GMT",
"version": "v2"
}
] |
2015-06-16
|
[
[
"Poghosyan",
"Armen",
""
],
[
"Poghosyan",
"Hayk",
""
]
] |
We extend the analysis of the RG trajectory connecting successive minimal CFT models ${\cal M}_p$ and ${\cal M}_{p-1}$ for $p\gg 1$, performed by A. Zamolodchikov, to the fields $\varphi_{n,n\pm 3}$. This required a close investigation of mixing with the descendant fields at the level 2. In particular we identify those specific linear combinations of UV fields which flow to the IR fields $\varphi_{n+3,n}$ and $\varphi_{n-3,n}$. We report also the results of the calculation of the same mixing coefficients through the recent RG domain wall approach by Gaiotto. These results are in complete agreement with the leading order perturbation theory.
| 10.15887
| 8.530733
| 11.596066
| 8.680335
| 8.917377
| 8.618348
| 8.422531
| 8.405208
| 8.597733
| 12.180981
| 8.744893
| 9.396284
| 10.796788
| 9.581471
| 9.516231
| 9.740607
| 9.1927
| 9.451711
| 9.492782
| 11.303105
| 9.282778
|
hep-th/0401169
|
Klaus Bering
|
I.A. Batalin (LPI) and K. Bering (UIC)
|
Hamiltonian Superfield Formalism with N Supercharges
|
21 pages, LaTeX, reference corrected
|
Nucl.Phys.B700:439-462,2004
|
10.1016/j.nuclphysb.2004.08.034
| null |
hep-th
| null |
An action principle that applies uniformly to any number N of supercharges is
proposed. We perform the reduction to the N=0 partition function by integrating
out superpartner fields. As a new feature for theories of extended
supersymmetry, the canonical Pfaffian measure factor is a result of a Gaussian
integration over a superpartner. This is mediated through an explicit choice of
direction n^a in the \theta-space, which the physical sector does not depend
on. Also, we re-interpret the metric g^{ab} in the Susy algebra [D^a,D^b] =
g^{ab}\partial_t as a symplectic structure on the fermionic \theta-space. This
leads to a superfield formulation with a general covariant \theta-space sector.
|
[
{
"created": "Fri, 23 Jan 2004 20:25:36 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Jan 2004 19:55:00 GMT",
"version": "v2"
},
{
"created": "Thu, 29 Jan 2004 19:54:01 GMT",
"version": "v3"
},
{
"created": "Fri, 27 Feb 2004 01:18:05 GMT",
"version": "v4"
}
] |
2014-11-18
|
[
[
"Batalin",
"I. A.",
"",
"LPI"
],
[
"Bering",
"K.",
"",
"UIC"
]
] |
An action principle that applies uniformly to any number N of supercharges is proposed. We perform the reduction to the N=0 partition function by integrating out superpartner fields. As a new feature for theories of extended supersymmetry, the canonical Pfaffian measure factor is a result of a Gaussian integration over a superpartner. This is mediated through an explicit choice of direction n^a in the \theta-space, which the physical sector does not depend on. Also, we re-interpret the metric g^{ab} in the Susy algebra [D^a,D^b] = g^{ab}\partial_t as a symplectic structure on the fermionic \theta-space. This leads to a superfield formulation with a general covariant \theta-space sector.
| 18.200697
| 16.605221
| 17.65568
| 15.752499
| 18.516335
| 17.919886
| 18.142241
| 17.46546
| 16.98414
| 19.075222
| 16.338465
| 15.629968
| 15.633732
| 15.345739
| 15.679968
| 15.65671
| 15.640588
| 16.049465
| 15.565818
| 15.704283
| 15.541552
|
hep-th/9612014
|
Andrew Chamblin
|
A. Chamblin (Institute for Theoretical Physics, UCSB), J.M.A.
Ashbourn-Chamblin (Wolfson College, University of Oxford)
|
Black hole pairs and supergravity domain walls
|
21 pages LaTeX, special style files (psfrag.sty, efsf_psfrag.sty,
a4local.sty, epsf.tex), minor revisions and amended references
|
Phys.Rev. D57 (1998) 3529-3536
|
10.1103/PhysRevD.57.3529
|
NSF-ITP-96-150
|
hep-th
| null |
We examine the pair creation of black holes in the presence of supergravity
domain walls with broken and unbroken supersymmetry. We show that black holes
will be nucleated in the presence of non- extreme, repulsive walls which break
the supersymmetry, but that as one allows the parameter measuring deviation
from extremality to approach zero the rate of creation will be suppressed. In
particular, we show that the probability for creation of black holes in the
presence of an extreme domain wall is identically zero, even though an extreme
vacuum domain wall still has repulsive gravitational energy. This is consistent
with the fact that the supersymmetric, extreme domain wall configurations are
BPS states and should be stable against quantum corrections. We discuss how
these walls arise in string theory, and speculate about what string theory
might tell us about such objects.
|
[
{
"created": "Mon, 2 Dec 1996 06:45:08 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Aug 1997 21:06:28 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Chamblin",
"A.",
"",
"Institute for Theoretical Physics, UCSB"
],
[
"Ashbourn-Chamblin",
"J. M. A.",
"",
"Wolfson College, University of Oxford"
]
] |
We examine the pair creation of black holes in the presence of supergravity domain walls with broken and unbroken supersymmetry. We show that black holes will be nucleated in the presence of non- extreme, repulsive walls which break the supersymmetry, but that as one allows the parameter measuring deviation from extremality to approach zero the rate of creation will be suppressed. In particular, we show that the probability for creation of black holes in the presence of an extreme domain wall is identically zero, even though an extreme vacuum domain wall still has repulsive gravitational energy. This is consistent with the fact that the supersymmetric, extreme domain wall configurations are BPS states and should be stable against quantum corrections. We discuss how these walls arise in string theory, and speculate about what string theory might tell us about such objects.
| 9.549589
| 9.361053
| 9.938128
| 9.013506
| 9.147259
| 9.837021
| 9.790718
| 9.633265
| 9.594135
| 10.155165
| 8.740322
| 8.916862
| 9.240764
| 9.187271
| 9.032625
| 8.957536
| 9.21211
| 9.248636
| 9.413184
| 9.636337
| 9.091793
|
1006.5874
|
Peter Browne Ronne
|
Thomas Creutzig, Peter B. Ronne
|
From world-sheet supersymmetry to super target spaces
|
37 pages
|
JHEP 1011:021,2010
|
10.1007/JHEP11(2010)021
|
DESY 10-098, WITS-CTP-54
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the relation between N=(2,2) superconformal Lie group WZNW
models and Lie supergroup WZNW models. The B-twist of an exactly marginal
perturbation of the world-sheet superconformal sigma model is the supergroup
model. Moreover, the superconformal currents are expressed in terms of Lie
superalgebra currents in the twisted theory. As applications, we find protected
sectors and boundary actions in the supergroup sigma model. A special example
is the relation between string theory on AdS_3 x S^3 x T^4 in the RNS formalism
and the U(1,1|2) x U(1|1) x U(1|1) supergroup WZNW model.
|
[
{
"created": "Wed, 30 Jun 2010 15:05:48 GMT",
"version": "v1"
}
] |
2010-11-11
|
[
[
"Creutzig",
"Thomas",
""
],
[
"Ronne",
"Peter B.",
""
]
] |
We investigate the relation between N=(2,2) superconformal Lie group WZNW models and Lie supergroup WZNW models. The B-twist of an exactly marginal perturbation of the world-sheet superconformal sigma model is the supergroup model. Moreover, the superconformal currents are expressed in terms of Lie superalgebra currents in the twisted theory. As applications, we find protected sectors and boundary actions in the supergroup sigma model. A special example is the relation between string theory on AdS_3 x S^3 x T^4 in the RNS formalism and the U(1,1|2) x U(1|1) x U(1|1) supergroup WZNW model.
| 6.683336
| 6.082757
| 8.169075
| 5.993099
| 6.526429
| 6.517829
| 6.96493
| 6.077792
| 6.146443
| 8.751384
| 5.956228
| 6.301095
| 6.89793
| 6.271246
| 6.058225
| 6.093155
| 6.321723
| 6.161259
| 6.163505
| 7.021895
| 5.996075
|
0912.4120
|
Olindo Corradini
|
F. Bastianelli, O. Corradini, P. A. G. Pisani and C. Schubert
|
Worldline Approach to QFT on Manifolds with Boundary
|
5 pages. Contribution to Proceedings of 9th Conference on Quantum
Field Theory Under the Influence of External Conditions, QFEXT09
| null |
10.1142/9789814289931_0051
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use the image charge method to compute the trace of the heat kernel for a
scalar field on a flat manifold with boundary, representing the trace by means
of a worldline path integral and obtain useful non-iterative master formulae
for n insertions of the scalar potential. We discuss possible extensions of the
method.
|
[
{
"created": "Mon, 21 Dec 2009 09:43:50 GMT",
"version": "v1"
}
] |
2017-08-23
|
[
[
"Bastianelli",
"F.",
""
],
[
"Corradini",
"O.",
""
],
[
"Pisani",
"P. A. G.",
""
],
[
"Schubert",
"C.",
""
]
] |
We use the image charge method to compute the trace of the heat kernel for a scalar field on a flat manifold with boundary, representing the trace by means of a worldline path integral and obtain useful non-iterative master formulae for n insertions of the scalar potential. We discuss possible extensions of the method.
| 19.893877
| 18.889437
| 24.011242
| 16.283566
| 18.605875
| 15.83649
| 20.073669
| 16.059839
| 14.981629
| 23.004433
| 16.062155
| 14.865523
| 18.982512
| 16.786921
| 16.968193
| 16.289425
| 17.710011
| 15.332068
| 15.750347
| 17.787308
| 15.958851
|
1201.0977
|
V. Parameswaran Nair
|
V. P. Nair
|
Gauge-invariant Mass Terms and Wave Functions
|
10 pages, Invited talk at the International Workshop on QCD Green's
functions, Confinement and Phenomenology, QCD-TNT II, September 2011
| null | null | null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We outline a method of relating the quantum effective action and the ground
state wave function of a field theory. This method, along with a
gauge-invariant mass term and the previously obtained vacuum wave function, is
used to arrive at the leading terms of the 3d-covariant quantum effective
action for the Yang-Mills theory in three (or 2+1) dimensions. Some features of
this effective action are also discussed.
|
[
{
"created": "Wed, 4 Jan 2012 19:48:43 GMT",
"version": "v1"
}
] |
2012-01-05
|
[
[
"Nair",
"V. P.",
""
]
] |
We outline a method of relating the quantum effective action and the ground state wave function of a field theory. This method, along with a gauge-invariant mass term and the previously obtained vacuum wave function, is used to arrive at the leading terms of the 3d-covariant quantum effective action for the Yang-Mills theory in three (or 2+1) dimensions. Some features of this effective action are also discussed.
| 10.794824
| 9.721146
| 9.61967
| 9.729741
| 10.443781
| 9.356148
| 9.351686
| 8.965926
| 8.969302
| 10.20788
| 9.344279
| 9.712393
| 10.253838
| 9.824319
| 9.543528
| 9.833011
| 9.606568
| 9.779916
| 9.863097
| 9.54893
| 9.310886
|
hep-th/9310124
|
Albert Schwarz
|
Albert Schwarz
|
Symmetry transformations in Batalin-Vilkovisky formalism
|
3 pages
|
Lett.Math.Phys. 31 (1994) 299-302
|
10.1007/BF00762792
|
UC Davis Math 1993-10
|
hep-th math.QA
| null |
This short note is closely related to Sen-Zwiebach paper on gauge
transformations in Batalin-Vilkovisky theory (hep-th 9309027). We formulate
some conditions of physical equivalence of solutions to the quantum master
equation and use these conditions to give a very transparent analysis of
symmetry transformations in BV-approach. We prove that in some sense every
quantum observable (i.e. every even function $H$ obeying
$\Delta_{\rho}(He^S)=0$) determines a symmetry of the theory with the action
functional $S$ satisfying quantum master equation $\Delta_{\rho}e^S=0$ \end
|
[
{
"created": "Tue, 19 Oct 1993 20:03:28 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Schwarz",
"Albert",
""
]
] |
This short note is closely related to Sen-Zwiebach paper on gauge transformations in Batalin-Vilkovisky theory (hep-th 9309027). We formulate some conditions of physical equivalence of solutions to the quantum master equation and use these conditions to give a very transparent analysis of symmetry transformations in BV-approach. We prove that in some sense every quantum observable (i.e. every even function $H$ obeying $\Delta_{\rho}(He^S)=0$) determines a symmetry of the theory with the action functional $S$ satisfying quantum master equation $\Delta_{\rho}e^S=0$ \end
| 11.063992
| 11.399872
| 13.382114
| 11.8236
| 12.054282
| 11.19556
| 11.491094
| 10.751716
| 10.94062
| 14.305889
| 11.261892
| 10.090169
| 11.216695
| 10.240615
| 9.951653
| 10.318485
| 10.421949
| 10.210565
| 10.126362
| 10.634278
| 9.915129
|
hep-th/9706121
|
Jun Furukawa
|
Jun Furukawa
|
Relation between S-duality in N=2 SQCD and Non-Abelian Duality in N=1
SQCD
|
11 pages, Latex, 4 figures, Changed content
| null | null |
UT-778
|
hep-th
| null |
With the help of M-theory configuration of N=1 supersymmetric QCD, we analyze
the strong coupling moduli of N=1 theory and its relation with S-duality
transformation in N=2 supersymmetric QCD. As a result we confirm that two
type-IIA descriptions for N=1 supersymmetric QCD, one of them being strong
coupling description and another being weak, correspond to a single M-theory
description for N=1 supersymmetric QCD. The existence of singlet fields is also
discussed.
|
[
{
"created": "Mon, 16 Jun 1997 15:36:23 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Jun 1997 12:03:52 GMT",
"version": "v2"
},
{
"created": "Tue, 2 Dec 1997 11:47:03 GMT",
"version": "v3"
}
] |
2008-02-03
|
[
[
"Furukawa",
"Jun",
""
]
] |
With the help of M-theory configuration of N=1 supersymmetric QCD, we analyze the strong coupling moduli of N=1 theory and its relation with S-duality transformation in N=2 supersymmetric QCD. As a result we confirm that two type-IIA descriptions for N=1 supersymmetric QCD, one of them being strong coupling description and another being weak, correspond to a single M-theory description for N=1 supersymmetric QCD. The existence of singlet fields is also discussed.
| 9.697977
| 9.719794
| 9.467124
| 8.483842
| 9.4911
| 9.427636
| 8.845124
| 8.498258
| 8.240499
| 10.344085
| 8.280033
| 8.745977
| 9.030148
| 8.431428
| 8.67224
| 8.878904
| 8.344456
| 8.451091
| 8.472801
| 8.91016
| 8.64897
|
2107.02230
|
Andre LeClair
|
Andr\'e LeClair
|
$T \bar{T}$ deformation of the Ising model and its ultraviolet
completion
|
14 pages, 2 figures
|
J. Stat. Mech. (2021) 113104
|
10.1088/1742-5468/ac2a99
| null |
hep-th cond-mat.stat-mech math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
Pure $T\bar{T}$ deformations of conformal field theories are generally
asymptotically incomplete in the ultra-violet (UV) due to square-root
singularities in the ground state energy on a cylinder of circumference $R$,
such that the theory is ill-defined for distances shorter than some critical
$R_*$. In this article we show how a theory can be completed if one includes an
infinite number of additional irrelevant perturbations. This is fully
demonstrated in the case of the Ising model at $c_{IR}= 1/2$ in the infra-red
(IR), where we find two completions with central charges $c_{UV} = 3/2$ and
$c_{UV} = 7/10$, the latter being the tri-critical Ising model. Both of these
UV completions have ${\cal N}=1$ supersymmetry which is broken in the
renormalization group flow to low energies. We also consider multiple
$T\bar{T}$ deformations of a free massless boson, where we cannot find a UV
completion that is consistent with the c-theorem. For negative coupling $g$,
which violates the c-theorem, in both cases we find $c_{UV} = -c_{IR}$ as $g
\to -\infty$. Finally we also study pure $T\bar{T}$ deformations of the
off-critical Ising model.
|
[
{
"created": "Mon, 5 Jul 2021 19:01:08 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Nov 2022 21:32:34 GMT",
"version": "v2"
}
] |
2022-11-18
|
[
[
"LeClair",
"André",
""
]
] |
Pure $T\bar{T}$ deformations of conformal field theories are generally asymptotically incomplete in the ultra-violet (UV) due to square-root singularities in the ground state energy on a cylinder of circumference $R$, such that the theory is ill-defined for distances shorter than some critical $R_*$. In this article we show how a theory can be completed if one includes an infinite number of additional irrelevant perturbations. This is fully demonstrated in the case of the Ising model at $c_{IR}= 1/2$ in the infra-red (IR), where we find two completions with central charges $c_{UV} = 3/2$ and $c_{UV} = 7/10$, the latter being the tri-critical Ising model. Both of these UV completions have ${\cal N}=1$ supersymmetry which is broken in the renormalization group flow to low energies. We also consider multiple $T\bar{T}$ deformations of a free massless boson, where we cannot find a UV completion that is consistent with the c-theorem. For negative coupling $g$, which violates the c-theorem, in both cases we find $c_{UV} = -c_{IR}$ as $g \to -\infty$. Finally we also study pure $T\bar{T}$ deformations of the off-critical Ising model.
| 6.165814
| 6.199158
| 6.543543
| 5.836447
| 6.395592
| 6.19874
| 6.182728
| 5.883527
| 5.918397
| 6.509603
| 5.83615
| 5.936576
| 5.938575
| 5.750953
| 6.011309
| 5.946177
| 5.696065
| 5.878175
| 5.922058
| 6.056698
| 5.823516
|
1711.09252
|
Changrim Ahn
|
Changrim Ahn and Plamen Bozhilov
|
Giant magnon-like solution in Sch_5 x S^5
|
12 pages; new results on finite-size corrections are added
|
Phys. Rev. D 98, 106005 (2018)
|
10.1103/PhysRevD.98.106005
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we have found a classical giant magnon-like solution with both
infinite and finite angular momentum moving in Sch_5 x S^5 with B-field, which
is believed to be dual to dipole-deformed N=4 super Yang-Mills theory. This
string state propagates as a point particle in non-trivial subspace of the
Sch_5 space but shows a giant magnon-like property in the S^2 subspace. We
derive the energy-momentum dispersion relations and their finite-size
correction for the case of finite but large angular momentum.
|
[
{
"created": "Sat, 25 Nov 2017 15:37:42 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Nov 2017 09:09:19 GMT",
"version": "v2"
},
{
"created": "Thu, 1 Mar 2018 03:43:17 GMT",
"version": "v3"
}
] |
2018-11-14
|
[
[
"Ahn",
"Changrim",
""
],
[
"Bozhilov",
"Plamen",
""
]
] |
In this paper we have found a classical giant magnon-like solution with both infinite and finite angular momentum moving in Sch_5 x S^5 with B-field, which is believed to be dual to dipole-deformed N=4 super Yang-Mills theory. This string state propagates as a point particle in non-trivial subspace of the Sch_5 space but shows a giant magnon-like property in the S^2 subspace. We derive the energy-momentum dispersion relations and their finite-size correction for the case of finite but large angular momentum.
| 13.946617
| 12.639242
| 13.771185
| 12.24087
| 12.934228
| 12.284224
| 13.483502
| 13.052018
| 12.586656
| 17.022011
| 13.060834
| 11.76277
| 13.353745
| 11.765355
| 12.098268
| 11.959172
| 11.995629
| 11.613395
| 11.734411
| 13.508791
| 12.35862
|
1011.5005
|
Esmaeil Ebrahimi
|
Esmaeil Ebrahimi and Ahmad Sheykhi
|
Scalar Field Reconstruction of Power-Law Entropy-Corrected HDE
|
13 pages
|
Phys.Scripta 04:045016,2011
|
10.1088/0031-8949/84/04/045016
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A so called "power-law entropy-corrected holographic dark energy" (PLECHDE)
was recently proposed to explain the dark energy dominated universe. This model
is based on the power-law corrections to black hole entropy which appear in
dealing with the entanglement of quantum fields between inside and outside of
the horizon. In this paper, we suggest a correspondence between interacting
PLECHDE and tachyon, quintessence, K-essence and dilaton scalar field models of
dark energy in a non-flat FRW universe. Then, we reconstruct the potential
terms accordingly, and present the dynamical equations which describe the
evolution of the scalar field dark energy models.
|
[
{
"created": "Tue, 23 Nov 2010 05:22:40 GMT",
"version": "v1"
},
{
"created": "Sun, 17 Apr 2011 08:37:21 GMT",
"version": "v2"
}
] |
2011-11-04
|
[
[
"Ebrahimi",
"Esmaeil",
""
],
[
"Sheykhi",
"Ahmad",
""
]
] |
A so called "power-law entropy-corrected holographic dark energy" (PLECHDE) was recently proposed to explain the dark energy dominated universe. This model is based on the power-law corrections to black hole entropy which appear in dealing with the entanglement of quantum fields between inside and outside of the horizon. In this paper, we suggest a correspondence between interacting PLECHDE and tachyon, quintessence, K-essence and dilaton scalar field models of dark energy in a non-flat FRW universe. Then, we reconstruct the potential terms accordingly, and present the dynamical equations which describe the evolution of the scalar field dark energy models.
| 7.072978
| 7.036404
| 5.818855
| 5.801419
| 6.364743
| 7.327968
| 8.304651
| 5.409155
| 7.359904
| 6.289668
| 7.332933
| 6.941476
| 6.794668
| 6.488526
| 6.861451
| 6.912102
| 7.336478
| 6.414818
| 7.360082
| 6.752557
| 7.010826
|
1407.0131
|
Alfredo Herrera-Aguilar
|
Alfonso Diaz-Furlong, Alfredo Herrera-Aguilar, Roman Linares, Refugio
Rigel Mora-Luna and Hugo A. Morales-Tecotl
|
On localization of universal scalar fields in a tachyonic de Sitter
thick braneworld
|
9 pages in latex, 4 figures
| null |
10.1007/s10714-014-1815-y
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Braneworld models may yield interesting effects ranging from high-energy
physics to cosmology, or even some low-energy physics. Their mode structure
modifies standard results in these physical realms that can be tested and used
to set bounds on the models parameters. Now, to define braneworld deviations
from standard 4D physics, a notion of matter and gravity localization on the
brane is crucial. In this work we investigate the localization of universal
massive scalar fields in a de Sitter thick tachyonic braneworld generated by
gravity coupled to a tachyonic bulk scalar field. This braneworld possesses a
4D de Sitter induced metric and is asymptotically flat despite the presence of
a negative bulk cosmological constant, a novel and interesting peculiarity that
contrasts with previously known models. Universal scalar fields can be
localized in this expanding braneworld if their bulk mass obeys an upper bound,
otherwise they delocalize: The dynamics of the scalar field is governed by a
Schroedinger equation with an analog quantum mechanical potential of modified
Poeschl-Teller type that depends on the bulk curvature of the braneworld system
and the value of the bulk scalar field mass. For masses satisfying a certain
upper bound, the potential displays a negative minimum and possesses a single
massless bound state separated from the Kaluza-Klein (KK) massive modes by a
mass gap defined by the Hubble (expansion scale) parameter of the 3-brane. As
the bulk scalar field mass increases, the minimum of the quantum mechanical
potential approaches a null value and, eventually, it becomes positive,
transforming into a potential barrier and leading to delocalization of the bulk
scalar field from the brane. The general solution of the Schroedinger equation
is given in terms of general Heun functions, giving rise to a new application
of these special functions.
|
[
{
"created": "Tue, 1 Jul 2014 08:04:18 GMT",
"version": "v1"
}
] |
2014-10-31
|
[
[
"Diaz-Furlong",
"Alfonso",
""
],
[
"Herrera-Aguilar",
"Alfredo",
""
],
[
"Linares",
"Roman",
""
],
[
"Mora-Luna",
"Refugio Rigel",
""
],
[
"Morales-Tecotl",
"Hugo A.",
""
]
] |
Braneworld models may yield interesting effects ranging from high-energy physics to cosmology, or even some low-energy physics. Their mode structure modifies standard results in these physical realms that can be tested and used to set bounds on the models parameters. Now, to define braneworld deviations from standard 4D physics, a notion of matter and gravity localization on the brane is crucial. In this work we investigate the localization of universal massive scalar fields in a de Sitter thick tachyonic braneworld generated by gravity coupled to a tachyonic bulk scalar field. This braneworld possesses a 4D de Sitter induced metric and is asymptotically flat despite the presence of a negative bulk cosmological constant, a novel and interesting peculiarity that contrasts with previously known models. Universal scalar fields can be localized in this expanding braneworld if their bulk mass obeys an upper bound, otherwise they delocalize: The dynamics of the scalar field is governed by a Schroedinger equation with an analog quantum mechanical potential of modified Poeschl-Teller type that depends on the bulk curvature of the braneworld system and the value of the bulk scalar field mass. For masses satisfying a certain upper bound, the potential displays a negative minimum and possesses a single massless bound state separated from the Kaluza-Klein (KK) massive modes by a mass gap defined by the Hubble (expansion scale) parameter of the 3-brane. As the bulk scalar field mass increases, the minimum of the quantum mechanical potential approaches a null value and, eventually, it becomes positive, transforming into a potential barrier and leading to delocalization of the bulk scalar field from the brane. The general solution of the Schroedinger equation is given in terms of general Heun functions, giving rise to a new application of these special functions.
| 9.462588
| 9.308382
| 9.23954
| 9.080763
| 9.588807
| 9.483903
| 9.406092
| 9.163073
| 9.003305
| 9.914459
| 8.899456
| 9.107794
| 9.519369
| 9.244377
| 9.321218
| 9.333142
| 9.208236
| 8.998571
| 9.131629
| 9.896758
| 9.089034
|
2103.11840
|
Alexander Popov
|
Alexander D. Popov
|
A Twistor Space Action for Yang-Mills Theory
|
18 pages; v2: clarifying comments and a reference added, published
version
|
Phys. Rev. D 104, 026015 (2021)
|
10.1103/PhysRevD.104.026015
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the twistor space ${\cal P}^6\cong{\mathbb R}^4{\times}{\mathbb
C}P^1$ of ${\mathbb R}^4$ with a non-integrable almost complex structure ${\cal
J}$ such that the canonical bundle of the almost complex manifold $({\cal P}^6,
{\cal J})$ is trivial. It is shown that ${\cal J}$-holomorphic Chern-Simons
theory on a real $(6|2)$-dimensional graded extension ${\cal P}^{6|2}$ of the
twistor space ${\cal P}^6$ is equivalent to self-dual Yang-Mills theory on
Euclidean space ${\mathbb R}^4$ with Lorentz invariant action. It is also shown
that adding a local term to a Chern-Simons-type action on ${\cal P}^{6|2}$, one
can extend it to a twistor action describing full Yang-Mills theory.
|
[
{
"created": "Mon, 22 Mar 2021 13:37:12 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Jun 2021 09:49:54 GMT",
"version": "v2"
}
] |
2021-08-04
|
[
[
"Popov",
"Alexander D.",
""
]
] |
We consider the twistor space ${\cal P}^6\cong{\mathbb R}^4{\times}{\mathbb C}P^1$ of ${\mathbb R}^4$ with a non-integrable almost complex structure ${\cal J}$ such that the canonical bundle of the almost complex manifold $({\cal P}^6, {\cal J})$ is trivial. It is shown that ${\cal J}$-holomorphic Chern-Simons theory on a real $(6|2)$-dimensional graded extension ${\cal P}^{6|2}$ of the twistor space ${\cal P}^6$ is equivalent to self-dual Yang-Mills theory on Euclidean space ${\mathbb R}^4$ with Lorentz invariant action. It is also shown that adding a local term to a Chern-Simons-type action on ${\cal P}^{6|2}$, one can extend it to a twistor action describing full Yang-Mills theory.
| 3.922614
| 3.752138
| 4.242663
| 3.761559
| 3.833985
| 3.919521
| 3.719049
| 3.767184
| 3.680168
| 4.624584
| 3.527018
| 3.77812
| 3.902946
| 3.764933
| 3.782021
| 3.754604
| 3.768512
| 3.83772
| 3.736679
| 3.827422
| 3.742577
|
1703.04622
|
Diego Hofman
|
Dionysios Anninos and Diego M. Hofman
|
Infrared Realization of dS$_2$ in AdS$_2$
|
30 pages + appendices, 3 figures. v2: minor changes
| null |
10.1088/1361-6382/aab143
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We describe a two-dimensional geometry that smoothly interpolates between an
asymptotically AdS$_2$ geometry and the static patch of dS$_2$. We find this
`centaur' geometry to be a solution of dilaton gravity with a specific class of
potentials for the dilaton. We interpret the centaur geometry as a thermal
state in the putative quantum mechanics dual to the AdS$_2$ evolved with the
global Hamiltonian. We compute the thermodynamic properties and observe that
the centaur state has finite entropy and positive specific heat. The static
patch is the infrared part of the centaur geometry. We discuss boundary
observables sensitive to the static patch region.
|
[
{
"created": "Tue, 14 Mar 2017 17:56:00 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Aug 2020 13:37:24 GMT",
"version": "v2"
}
] |
2020-08-19
|
[
[
"Anninos",
"Dionysios",
""
],
[
"Hofman",
"Diego M.",
""
]
] |
We describe a two-dimensional geometry that smoothly interpolates between an asymptotically AdS$_2$ geometry and the static patch of dS$_2$. We find this `centaur' geometry to be a solution of dilaton gravity with a specific class of potentials for the dilaton. We interpret the centaur geometry as a thermal state in the putative quantum mechanics dual to the AdS$_2$ evolved with the global Hamiltonian. We compute the thermodynamic properties and observe that the centaur state has finite entropy and positive specific heat. The static patch is the infrared part of the centaur geometry. We discuss boundary observables sensitive to the static patch region.
| 8.508565
| 7.82638
| 9.347432
| 7.958554
| 7.932193
| 8.073681
| 8.453615
| 7.859425
| 7.619267
| 9.139394
| 8.179133
| 8.185453
| 8.265209
| 8.064389
| 8.285697
| 8.167943
| 8.130448
| 8.056003
| 7.950434
| 8.226572
| 7.932772
|
hep-th/0409179
|
Theodore G. Erler
|
Theodore G. Erler
|
Level Truncation and Rolling the Tachyon in the Lightcone Basis for Open
String Field Theory
|
29 pages, 21 figures
| null | null | null |
hep-th
| null |
A recent paper by Gross and Erler (hep-th/0406199) showed that by making a
certain well-defined, unitary transformation on the mode basis for the open
bosonic string--one that identifies the lightcone component of position with
the string midpoint--it is possible to render the action for cubic string field
theory local in lightcone time. In this basis, then, cubic string field theory
possesses a well-defined initial value formulation and a conserved Hamiltonian.
With this new understanding it seems natural to study time dependent solutions
representing the the decay of an unstable D-branes. In this paper we study such
solutions using level truncation of mode oscillators in the lightcone basis,
finding both homogenous solutions by perturbatively expanding the string field
in modes $e^{nt}$, and inhomogenous solutions by integrating the equations of
motion on a lattice. Truncating the theory to level $(\tilde{2},\tilde{4})$ in
$\alpha^+$ oscillators, we find time dependent solutions whose behavior seems
to converge to that of earlier solutions constructed in the center of mass
basis, where the cubic action contains an infinite number of time derivatives.
We further construct time-dependent inhomogeneous solutions including all
fields up to level $(\tilde{2},\tilde{4})$. These solutions at the outset
display rather erratic behavior due to an unphysical instability introduced by
truncating the theory at the linear level. However upon truncating away the
field responsible for the instability, we find more reasonable solutions which
may possibly represent an approximation to tachyon matter. We conclude with
some discussion of future directions.
|
[
{
"created": "Thu, 16 Sep 2004 23:43:52 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Erler",
"Theodore G.",
""
]
] |
A recent paper by Gross and Erler (hep-th/0406199) showed that by making a certain well-defined, unitary transformation on the mode basis for the open bosonic string--one that identifies the lightcone component of position with the string midpoint--it is possible to render the action for cubic string field theory local in lightcone time. In this basis, then, cubic string field theory possesses a well-defined initial value formulation and a conserved Hamiltonian. With this new understanding it seems natural to study time dependent solutions representing the the decay of an unstable D-branes. In this paper we study such solutions using level truncation of mode oscillators in the lightcone basis, finding both homogenous solutions by perturbatively expanding the string field in modes $e^{nt}$, and inhomogenous solutions by integrating the equations of motion on a lattice. Truncating the theory to level $(\tilde{2},\tilde{4})$ in $\alpha^+$ oscillators, we find time dependent solutions whose behavior seems to converge to that of earlier solutions constructed in the center of mass basis, where the cubic action contains an infinite number of time derivatives. We further construct time-dependent inhomogeneous solutions including all fields up to level $(\tilde{2},\tilde{4})$. These solutions at the outset display rather erratic behavior due to an unphysical instability introduced by truncating the theory at the linear level. However upon truncating away the field responsible for the instability, we find more reasonable solutions which may possibly represent an approximation to tachyon matter. We conclude with some discussion of future directions.
| 10.599749
| 12.244977
| 11.984115
| 10.624914
| 12.279512
| 11.945642
| 12.638398
| 10.572515
| 10.598591
| 12.690295
| 10.254566
| 10.303968
| 10.975977
| 10.640702
| 10.947994
| 10.551077
| 10.350698
| 10.586618
| 10.212877
| 11.194933
| 10.641914
|
hep-th/9402038
|
Q.-Han Park
|
Q-Han Park
|
Deformed Coset Models From Gauged WZW Actions
|
11 pages
|
Phys.Lett. B328 (1994) 329-336
|
10.1016/0370-2693(94)91487-7
| null |
hep-th
| null |
A general Lagrangian formulation of integrably deformed G/H-coset models is
given. We consider the G/H-coset model in terms of the gauged
Wess-Zumino-Witten action and obtain an integrable deformation by adding a
potential energy term $Tr(gTg^{-1}\Tb )$, where algebra elements $T, \Tb $
belong to the center of the algebra {\bf h} associated with the subgroup H. We
show that the classical equation of motion of the deformed coset model can be
identified with the integrability condition of certain linear equations which
makes the use of the inverse scattering method possible. Using the linear
equation, we give a systematic way to construct infinitely many conserved
currents as well as soliton solutions. In the case of the parafermionic
SU(2)/U(1)-coset model, we derive $n$-solitons and conserved currents
explicitly.
|
[
{
"created": "Tue, 8 Feb 1994 07:36:30 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Feb 1994 04:17:17 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Park",
"Q-Han",
""
]
] |
A general Lagrangian formulation of integrably deformed G/H-coset models is given. We consider the G/H-coset model in terms of the gauged Wess-Zumino-Witten action and obtain an integrable deformation by adding a potential energy term $Tr(gTg^{-1}\Tb )$, where algebra elements $T, \Tb $ belong to the center of the algebra {\bf h} associated with the subgroup H. We show that the classical equation of motion of the deformed coset model can be identified with the integrability condition of certain linear equations which makes the use of the inverse scattering method possible. Using the linear equation, we give a systematic way to construct infinitely many conserved currents as well as soliton solutions. In the case of the parafermionic SU(2)/U(1)-coset model, we derive $n$-solitons and conserved currents explicitly.
| 7.323203
| 7.196311
| 8.084982
| 6.793861
| 7.858466
| 7.540509
| 7.79004
| 7.154831
| 7.139104
| 8.542815
| 7.191264
| 6.807056
| 7.264543
| 6.901605
| 6.702466
| 6.826563
| 6.993269
| 6.702833
| 6.812678
| 7.164307
| 6.872282
|
hep-th/0306129
|
Stefano Sciuto
|
Rodolfo Russo and Stefano Sciuto
|
Twisted determinants on higher genus Riemann surfaces
|
LaTeX, 26 pages,v3: typos corrected
|
Nucl.Phys. B669 (2003) 207-232
|
10.1016/j.nuclphysb.2003.07.016
| null |
hep-th
| null |
We study the Dirac and the Laplacian operators on orientable Riemann surfaces
of arbitrary genus g. In particular we compute their determinants with twisted
boundary conditions along the b-cycles. All the ingredients of the final
results (including the normalizations) are explicitly written in terms of the
Schottky parametrization of the Riemann surface. By using the bosonization
equivalence, we derive a multi-loop generalization of the well-known g=1
product formulae for the Theta-functions. We finally comment on the
applications of these results to the perturbative theory of open charged
strings.
|
[
{
"created": "Fri, 13 Jun 2003 16:51:07 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Aug 2003 10:16:14 GMT",
"version": "v2"
},
{
"created": "Wed, 12 Sep 2007 16:06:34 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Russo",
"Rodolfo",
""
],
[
"Sciuto",
"Stefano",
""
]
] |
We study the Dirac and the Laplacian operators on orientable Riemann surfaces of arbitrary genus g. In particular we compute their determinants with twisted boundary conditions along the b-cycles. All the ingredients of the final results (including the normalizations) are explicitly written in terms of the Schottky parametrization of the Riemann surface. By using the bosonization equivalence, we derive a multi-loop generalization of the well-known g=1 product formulae for the Theta-functions. We finally comment on the applications of these results to the perturbative theory of open charged strings.
| 9.907248
| 9.232173
| 11.728503
| 9.069669
| 9.100427
| 9.549773
| 10.871424
| 9.100698
| 9.363452
| 12.044951
| 9.063435
| 8.532123
| 10.20435
| 9.341402
| 8.792901
| 9.064582
| 8.703696
| 8.878663
| 9.115367
| 10.099799
| 8.731568
|
hep-th/9911230
|
Saurya Das
|
Abhay Ashtekar and Saurya Das (CGPG, Penn State University)
|
Asymptotically Anti-de Sitter Space-times: Conserved Quantities
|
17 pages, Revtex; to be published in Class. and Quant. Gravity
|
Class.Quant.Grav.17:L17-L30,2000
|
10.1088/0264-9381/17/2/101
|
CGPG-99/11-8
|
hep-th gr-qc
| null |
Asymptotically anti-de Sitter space-times are considered in a general
dimension $d\ge 4$. As one might expect, the boundary conditions at infinity
ensure that the asymptotic symmetry group is the anti-de Sitter group (although
there is an interesting subtlety if d=4). Asymptotic field equations imply
that, associated with each generator $\xi$ of this group, there is a quantity
$Q_\xi$ which satisfies the expected `balance equation' if there is flux of
physical matter fields across the boundary $\I$ at infinity and is absolutely
conserved in absence of this flux. Irrespective of the dimension d, all these
quantities vanish if the space-time under considerations is (globally) anti-de
Sitter. Furthermore, this result is required by a general covariance argument.
However, it contradicts some of the recent findings based on the conjectured
ADS/CFT duality. This and other features of our analysis suggest that, if a
consistent dictionary between gravity and conformal field theories does exist
in fully non-perturbative regimes, it would have to be more subtle than the one
used currently.
|
[
{
"created": "Mon, 29 Nov 1999 15:45:22 GMT",
"version": "v1"
}
] |
2010-04-06
|
[
[
"Ashtekar",
"Abhay",
"",
"CGPG, Penn State University"
],
[
"Das",
"Saurya",
"",
"CGPG, Penn State University"
]
] |
Asymptotically anti-de Sitter space-times are considered in a general dimension $d\ge 4$. As one might expect, the boundary conditions at infinity ensure that the asymptotic symmetry group is the anti-de Sitter group (although there is an interesting subtlety if d=4). Asymptotic field equations imply that, associated with each generator $\xi$ of this group, there is a quantity $Q_\xi$ which satisfies the expected `balance equation' if there is flux of physical matter fields across the boundary $\I$ at infinity and is absolutely conserved in absence of this flux. Irrespective of the dimension d, all these quantities vanish if the space-time under considerations is (globally) anti-de Sitter. Furthermore, this result is required by a general covariance argument. However, it contradicts some of the recent findings based on the conjectured ADS/CFT duality. This and other features of our analysis suggest that, if a consistent dictionary between gravity and conformal field theories does exist in fully non-perturbative regimes, it would have to be more subtle than the one used currently.
| 9.350557
| 10.300195
| 9.529621
| 9.210899
| 10.086263
| 9.963415
| 9.943553
| 8.99518
| 9.285804
| 10.07729
| 9.190022
| 9.377934
| 9.075258
| 9.156419
| 9.125396
| 9.09366
| 9.459124
| 9.144097
| 9.091915
| 9.255464
| 9.159845
|
1207.6912
|
Riccardo Giachetti
|
A. Barducci and R. Giachetti
|
Effective action for fermions with anomalous magnetic moment from
Foldy-Wouthuysen transformation
| null | null |
10.1142/S0217732313500296
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we calculate the effective action for neutral particles with
anomalous magnetic moment in an external magnetic and electric field. We show
that we can take advantage from the Foldy Wouthuysen transformation for such
systems, determined in our previous works: indeed, by this transformation we
have explicitly evaluated the diagonalized Hamiltonian, allowing to present a
closed form for the corresponding effective action and for the partition
function at finite temperature from which the thermodynamical potentials can be
calculated.
|
[
{
"created": "Mon, 30 Jul 2012 12:26:14 GMT",
"version": "v1"
}
] |
2015-06-05
|
[
[
"Barducci",
"A.",
""
],
[
"Giachetti",
"R.",
""
]
] |
In this paper we calculate the effective action for neutral particles with anomalous magnetic moment in an external magnetic and electric field. We show that we can take advantage from the Foldy Wouthuysen transformation for such systems, determined in our previous works: indeed, by this transformation we have explicitly evaluated the diagonalized Hamiltonian, allowing to present a closed form for the corresponding effective action and for the partition function at finite temperature from which the thermodynamical potentials can be calculated.
| 11.023449
| 10.069708
| 11.14977
| 9.941177
| 9.789182
| 10.056306
| 10.614142
| 9.353962
| 10.169734
| 12.632542
| 10.323417
| 10.117846
| 10.754087
| 10.534264
| 10.373131
| 10.579196
| 10.621442
| 10.748607
| 10.656593
| 11.002522
| 10.498086
|
2212.12332
|
Rohan Poojary
|
Rohan R. Poojary
|
JT gravity and near-extremal thermodynamics for Kerr black holes in
$AdS_{4,5}$ for rotating perturbations
|
27-pages, Appendix-A added
|
https://link.springer.com/article/10.1007/jhep02(2023)132
|
10.1007/JHEP02(2023)132
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We study the near horizon 2d gravity theory which captures the near extremal
thermodynamics of Kerr black holes where a linear combination of excess angular
momentum $\delta J $ and excess mass $\delta M$ is held fixed. These correspond
to processes where both the mass and the angular momenta of extremal Kerr black
holes are perturbed leaving them near extremal. For the Kerr $AdS_4$ we hold
$\delta J-\mathcal{L}\,\delta M=0 $ while for Myers-Perry(MP) type Kerr black
hole in $AdS_5$ we hold $\delta
J_{\varphi_{1,2}}\hspace{-0.2cm}-\mathcal{L}_{\varphi_{1,2}}\,\delta M=0$. We
show that in near horizon, the 2d Jackiw-Teitelboim theory is able to capture
the thermodynamics of the higher dimensional black holes at small near extremal
temperatures $T_H$. We show this by generalizing the near horizon limits found
in literature by parameters $\mathcal{L}$ and $\mathcal{L}_{\varphi_{1,2}}$ for
the two geometries. The resulting JT theory captures the near extremal
thermodynamics of such geometries provided we identify the temperature
$T^{(2)}_H$ of the near horizon $AdS_2$ geometry to be
$T^{(2)}_H=T_H/(1-\mu\,\mathcal{L})$ for 4d Kerr and
$T^{(2)}_H=T_H/(1-\mu\,(\mathcal{L}_{\varphi_1}+\mathcal{L}_{\varphi_2}))$ for
5d Kerr where $\mu$ is their chemical potential, with $\mu\,\mathcal{L}<1$ and
$\mu\,(\mathcal{L}_{\varphi_1}+\mathcal{L}_{\varphi_2})<1$ respectively. We
also argue that such a theory embeds itself non-trivially in the higher
dimensional theory dual to the Kerr geometries.
|
[
{
"created": "Fri, 23 Dec 2022 13:39:20 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Jan 2023 10:56:25 GMT",
"version": "v2"
},
{
"created": "Thu, 16 Feb 2023 09:36:46 GMT",
"version": "v3"
}
] |
2023-02-20
|
[
[
"Poojary",
"Rohan R.",
""
]
] |
We study the near horizon 2d gravity theory which captures the near extremal thermodynamics of Kerr black holes where a linear combination of excess angular momentum $\delta J $ and excess mass $\delta M$ is held fixed. These correspond to processes where both the mass and the angular momenta of extremal Kerr black holes are perturbed leaving them near extremal. For the Kerr $AdS_4$ we hold $\delta J-\mathcal{L}\,\delta M=0 $ while for Myers-Perry(MP) type Kerr black hole in $AdS_5$ we hold $\delta J_{\varphi_{1,2}}\hspace{-0.2cm}-\mathcal{L}_{\varphi_{1,2}}\,\delta M=0$. We show that in near horizon, the 2d Jackiw-Teitelboim theory is able to capture the thermodynamics of the higher dimensional black holes at small near extremal temperatures $T_H$. We show this by generalizing the near horizon limits found in literature by parameters $\mathcal{L}$ and $\mathcal{L}_{\varphi_{1,2}}$ for the two geometries. The resulting JT theory captures the near extremal thermodynamics of such geometries provided we identify the temperature $T^{(2)}_H$ of the near horizon $AdS_2$ geometry to be $T^{(2)}_H=T_H/(1-\mu\,\mathcal{L})$ for 4d Kerr and $T^{(2)}_H=T_H/(1-\mu\,(\mathcal{L}_{\varphi_1}+\mathcal{L}_{\varphi_2}))$ for 5d Kerr where $\mu$ is their chemical potential, with $\mu\,\mathcal{L}<1$ and $\mu\,(\mathcal{L}_{\varphi_1}+\mathcal{L}_{\varphi_2})<1$ respectively. We also argue that such a theory embeds itself non-trivially in the higher dimensional theory dual to the Kerr geometries.
| 4.487312
| 4.691955
| 4.744199
| 4.388502
| 4.694634
| 4.652463
| 4.760661
| 4.510765
| 4.573095
| 4.795611
| 4.543156
| 4.562351
| 4.561232
| 4.432707
| 4.501745
| 4.489672
| 4.492496
| 4.403255
| 4.46234
| 4.631353
| 4.446874
|
2112.03087
|
Shuxuan Ying
|
Shuxuan Ying
|
Resolving naked singularities in $\alpha^{\prime}$-corrected string
theory
|
V2: 16 pages, 8 figures, references added; V3: published version
|
Eur. Phys. J. C 82, 523 (2022)
|
10.1140/epjc/s10052-022-10427-5
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Low energy effective action of bosonic string theory possesses a kind of
singular static solution which can be interpreted as a naked singularity. Based
on the Hohm-Zwiebach action, the naked singularities could be smoothed out by
introducing the complete $\alpha^{\prime}$ corrections of string theory. In
this paper, we present two sets of non-singular solutions, which are also
regular everywhere in the Einstein frame. In the perturbative region
$\alpha^{\prime}\to0$, the solutions reduce to the perturbative results. Our
result provides extra evidence for weak cosmic censorship conjecture (WCCC)
from a viewpoint of string theory.
|
[
{
"created": "Mon, 6 Dec 2021 14:52:25 GMT",
"version": "v1"
},
{
"created": "Sat, 11 Dec 2021 14:46:41 GMT",
"version": "v2"
},
{
"created": "Mon, 13 Jun 2022 17:02:35 GMT",
"version": "v3"
}
] |
2022-06-14
|
[
[
"Ying",
"Shuxuan",
""
]
] |
Low energy effective action of bosonic string theory possesses a kind of singular static solution which can be interpreted as a naked singularity. Based on the Hohm-Zwiebach action, the naked singularities could be smoothed out by introducing the complete $\alpha^{\prime}$ corrections of string theory. In this paper, we present two sets of non-singular solutions, which are also regular everywhere in the Einstein frame. In the perturbative region $\alpha^{\prime}\to0$, the solutions reduce to the perturbative results. Our result provides extra evidence for weak cosmic censorship conjecture (WCCC) from a viewpoint of string theory.
| 9.543525
| 8.040853
| 10.335691
| 7.887604
| 8.187391
| 8.068393
| 8.332685
| 8.100456
| 7.807199
| 10.482471
| 7.798982
| 8.326099
| 8.982617
| 8.586083
| 8.518885
| 8.553142
| 8.423644
| 8.34875
| 8.524126
| 8.520447
| 8.654582
|
1006.5423
|
Mikhail Voloshin
|
A. Gorsky and M.B. Voloshin
|
Remarks on Decay of Defects with Internal Degrees of Freedom
|
17 pages
|
Phys.Rev.D82:086008,2010
|
10.1103/PhysRevD.82.086008
|
FTPI-MINN-10/16, UMN-TH-2908/10, ITEP-TH-23/10
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the decay of metastable walls and strings populated by additional
degrees of freedom. The examples involve the decay of an axion wall in an
external magnetic field, pionic walls, metastable walls in dense QCD. It is
shown that the induced fermions escape from the wall during the decay process
providing an example of the chiral magnetic effect. An absolute stabilization
of metastable and unstable walls in a large magnetic field is found. A possible
higher dimensional generalization of the chiral magnetic effect is mentioned.
|
[
{
"created": "Mon, 28 Jun 2010 18:07:54 GMT",
"version": "v1"
}
] |
2014-11-21
|
[
[
"Gorsky",
"A.",
""
],
[
"Voloshin",
"M. B.",
""
]
] |
We consider the decay of metastable walls and strings populated by additional degrees of freedom. The examples involve the decay of an axion wall in an external magnetic field, pionic walls, metastable walls in dense QCD. It is shown that the induced fermions escape from the wall during the decay process providing an example of the chiral magnetic effect. An absolute stabilization of metastable and unstable walls in a large magnetic field is found. A possible higher dimensional generalization of the chiral magnetic effect is mentioned.
| 17.898287
| 15.762185
| 15.036867
| 14.25736
| 16.13921
| 14.500683
| 15.221755
| 15.170703
| 14.463148
| 16.606071
| 15.122186
| 14.962532
| 15.762466
| 15.053185
| 15.890464
| 15.127544
| 15.591078
| 15.024966
| 15.04885
| 15.670169
| 14.871926
|
2008.01274
|
Bin Guo
|
Bin Guo and Samir D. Mathur
|
Lifting at higher levels in the D1D5 CFT
|
29 pages, no figure
| null |
10.1007/JHEP11(2020)145
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The D1D5P system has a large set of BPS states at its orbifold point.
Perturbing away from this 'free' point leads to some states joining up into
long supermultiplets and lifting, while other states remain BPS. We consider
the simplest orbifold which exhibits this lift: that with $N=2$ copies of the
free $c=6$ CFT. We write down the number of lifted and unlifted states implied
by the index at all levels upto $6$. We work to second order in the
perturbation strength $\lambda$. For levels upto $4$, we find the wavefunctions
of the lifted states, their supermultiplet structure and the value of the lift.
All states that are allowed to lift by the index are in fact lifted at order
$O(\lambda^2)$. We observe that the unlifted states in the untwisted sector
have an antisymmetry between the copies in the right moving Ramond ground state
sector, and extend this observation to find classes of states for arbitrary $N$
that will remain unlifted to $O(\lambda^2)$.
|
[
{
"created": "Tue, 4 Aug 2020 02:04:33 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Sep 2020 15:45:09 GMT",
"version": "v2"
}
] |
2020-12-30
|
[
[
"Guo",
"Bin",
""
],
[
"Mathur",
"Samir D.",
""
]
] |
The D1D5P system has a large set of BPS states at its orbifold point. Perturbing away from this 'free' point leads to some states joining up into long supermultiplets and lifting, while other states remain BPS. We consider the simplest orbifold which exhibits this lift: that with $N=2$ copies of the free $c=6$ CFT. We write down the number of lifted and unlifted states implied by the index at all levels upto $6$. We work to second order in the perturbation strength $\lambda$. For levels upto $4$, we find the wavefunctions of the lifted states, their supermultiplet structure and the value of the lift. All states that are allowed to lift by the index are in fact lifted at order $O(\lambda^2)$. We observe that the unlifted states in the untwisted sector have an antisymmetry between the copies in the right moving Ramond ground state sector, and extend this observation to find classes of states for arbitrary $N$ that will remain unlifted to $O(\lambda^2)$.
| 10.378248
| 10.152833
| 11.430324
| 10.081094
| 10.912891
| 11.692369
| 10.860072
| 10.326056
| 10.288139
| 11.993451
| 9.964469
| 9.564577
| 9.917821
| 9.725062
| 9.734469
| 9.943398
| 10.030964
| 9.638579
| 9.653955
| 9.77623
| 9.52106
|
2112.10514
|
Yufan Zheng
|
Bin Chen, Reiko Liu, Yu-fan Zheng
|
On Higher-dimensional Carrollian and Galilean Conformal Field Theories
|
84 pages, 21 figures. Changes: Add comments in the introduction,
section 3.1, 3.2 and 3.5, added examples in section 4.1. Added some
citations. Corrected some typos
|
SciPost Phys. 14, 088 (2023)
|
10.21468/SciPostPhys.14.5.088
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
In this paper, we study the Carrollian and Galilean conformal field theories
(CCFT and GCFT) in $d>2$ dimensions. We construct the highest weight
representations (HWR) of Carrollian and Galilean conformal algebra (CCA and
GCA). Even though the two algebras have different structures, their HWRs share
similar structure, because their rotation subalgebras are isomorphic. In both
cases, we find that the finite dimensional representations are generally
reducible but indecomposable, and can be organized into the multiplets.
Moreover, it turns out that the multiplet representations in $d>2$ CCA and GCA
carry not only the simple chain structure appeared in logCFT or $2d$ GCFT, but
also more generally the net structures. We manage to classify all the allowed
chain representations. Furthermore we discuss the two-point and three-point
correlators by using the Ward identities. We mainly focus on the two-point
correlators of the operators in chain representations. Even in this relative
simple case, we find some novel features: multiple-level structure, shortage of
the selection rule on the representations, undetermined 2-pt coefficients,
etc.. We find that the non-trivial correlators could only appear for the
representations of certain structure, and the correlators are generally
polynomials of time coordinates for CCFT (spacial coordinates for GCFT), whose
orders depend on the levels of the correlators.
|
[
{
"created": "Mon, 20 Dec 2021 13:15:46 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Jun 2022 15:37:28 GMT",
"version": "v2"
},
{
"created": "Mon, 26 Sep 2022 03:12:55 GMT",
"version": "v3"
},
{
"created": "Tue, 28 Mar 2023 09:44:28 GMT",
"version": "v4"
}
] |
2023-04-26
|
[
[
"Chen",
"Bin",
""
],
[
"Liu",
"Reiko",
""
],
[
"Zheng",
"Yu-fan",
""
]
] |
In this paper, we study the Carrollian and Galilean conformal field theories (CCFT and GCFT) in $d>2$ dimensions. We construct the highest weight representations (HWR) of Carrollian and Galilean conformal algebra (CCA and GCA). Even though the two algebras have different structures, their HWRs share similar structure, because their rotation subalgebras are isomorphic. In both cases, we find that the finite dimensional representations are generally reducible but indecomposable, and can be organized into the multiplets. Moreover, it turns out that the multiplet representations in $d>2$ CCA and GCA carry not only the simple chain structure appeared in logCFT or $2d$ GCFT, but also more generally the net structures. We manage to classify all the allowed chain representations. Furthermore we discuss the two-point and three-point correlators by using the Ward identities. We mainly focus on the two-point correlators of the operators in chain representations. Even in this relative simple case, we find some novel features: multiple-level structure, shortage of the selection rule on the representations, undetermined 2-pt coefficients, etc.. We find that the non-trivial correlators could only appear for the representations of certain structure, and the correlators are generally polynomials of time coordinates for CCFT (spacial coordinates for GCFT), whose orders depend on the levels of the correlators.
| 9.181727
| 9.54472
| 10.401261
| 8.919093
| 9.967252
| 9.950368
| 9.294779
| 9.06859
| 9.311435
| 11.532686
| 9.580636
| 9.047955
| 9.086562
| 8.759567
| 8.857942
| 9.45723
| 9.120617
| 8.779944
| 8.914821
| 9.500074
| 9.142807
|
2007.13878
|
Boris Kosyakov
|
B. P. Kosyakov
|
Nonlinear electrodynamics with the maximum allowable symmetries
|
4 pages; v3. the published version
|
Phys. Lett. B 810 (2020) 135840
|
10.1016/j.physletb.2020.135840
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently Bandos, Lechner, Sorokin, and Townsend [arXiv:2007.09092] have
discovered that Maxwell's electrodynamics can be generalized so that the
resulting nonlinear theory preserves both conformal invariance and SO(2)
duality-rotation invariance. Their result can be derived in a simpler way.
|
[
{
"created": "Mon, 27 Jul 2020 21:34:15 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Aug 2020 16:17:34 GMT",
"version": "v2"
},
{
"created": "Mon, 12 Oct 2020 12:36:04 GMT",
"version": "v3"
}
] |
2020-10-13
|
[
[
"Kosyakov",
"B. P.",
""
]
] |
Recently Bandos, Lechner, Sorokin, and Townsend [arXiv:2007.09092] have discovered that Maxwell's electrodynamics can be generalized so that the resulting nonlinear theory preserves both conformal invariance and SO(2) duality-rotation invariance. Their result can be derived in a simpler way.
| 17.00843
| 8.547717
| 7.59129
| 7.583226
| 7.493761
| 8.023233
| 7.052379
| 8.046637
| 7.519481
| 10.124494
| 8.826072
| 8.862251
| 9.729727
| 8.764461
| 8.968701
| 9.267184
| 9.010934
| 8.74678
| 8.892931
| 9.921596
| 9.789579
|
0708.1489
|
Michael Mattes Dr.
|
M. Mattes and M. Sorg
|
Principle of Minimal Energy in Relativistic Schroedinger Theory
|
65 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Hamilton-Lagrange action principle for Relativistic Schr\"odinger Theory
(RST) is converted to a variational principle (with constraints) for the
stationary bound states. The groundstate energy is the minimally possible value
of the corresponding energy functional and the relativistic energy eigenvalue
equations do appear as the corresponding variational equations. The matter part
of these eigenvalue equations is a relativistic generalization of the
well-known Ritz principle in non-relativistic quantum mechanics which however
disregards the dynamical character of the particle interactions. If the latter
are included in the proposed principle of minimal energy for the bound states,
one obtains a closed dynamical system for both matter and gauge fields. The new
variational principle enables the development of variational techniques for
solving approximately the energy eigenvalue equations. As a demonstration, the
positronium groundstate is treated in great detail. Here a simple exponential
trial function is sufficient in order to reproduce the (exact) result of
conventional quantum mechanics where the relativistic and spin effects are
neglected.
|
[
{
"created": "Fri, 10 Aug 2007 17:14:46 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Jul 2008 16:42:29 GMT",
"version": "v2"
}
] |
2008-07-03
|
[
[
"Mattes",
"M.",
""
],
[
"Sorg",
"M.",
""
]
] |
The Hamilton-Lagrange action principle for Relativistic Schr\"odinger Theory (RST) is converted to a variational principle (with constraints) for the stationary bound states. The groundstate energy is the minimally possible value of the corresponding energy functional and the relativistic energy eigenvalue equations do appear as the corresponding variational equations. The matter part of these eigenvalue equations is a relativistic generalization of the well-known Ritz principle in non-relativistic quantum mechanics which however disregards the dynamical character of the particle interactions. If the latter are included in the proposed principle of minimal energy for the bound states, one obtains a closed dynamical system for both matter and gauge fields. The new variational principle enables the development of variational techniques for solving approximately the energy eigenvalue equations. As a demonstration, the positronium groundstate is treated in great detail. Here a simple exponential trial function is sufficient in order to reproduce the (exact) result of conventional quantum mechanics where the relativistic and spin effects are neglected.
| 10.822493
| 11.344379
| 11.192993
| 10.994379
| 11.110997
| 11.2386
| 10.938837
| 10.588433
| 10.704813
| 11.1711
| 10.672831
| 10.07349
| 10.528488
| 10.331618
| 10.363849
| 10.09303
| 10.287325
| 10.369654
| 10.18538
| 10.608802
| 10.295202
|
1507.00618
|
Altu\u{g} Arda
|
Altug Arda, Ramazan Sever
|
Approximate Solutions of Dirac Equation with Hyperbolic-type Potential
|
12 pages, 2 figures
|
Commun. Theor. Phys. 64, 269 (2015)
| null | null |
hep-th math-ph math.MP quant-ph
|
http://creativecommons.org/licenses/by/3.0/
|
The energy eigenvalues of a Dirac particle for the hyperbolic-type potential
field have been computed approximately. It is obtained a transcendental
function of energy, $\mathcal{F}(E)$, by writing in terms of confluent Heun
functions. The numerical values of energy are then obtained by fixing the zeros
on "$E$-axis" for both complex functions $Re[\mathcal{F}(E)]$ and
$Im[\mathcal{F}(E)]$.
|
[
{
"created": "Thu, 28 May 2015 11:26:48 GMT",
"version": "v1"
}
] |
2015-09-01
|
[
[
"Arda",
"Altug",
""
],
[
"Sever",
"Ramazan",
""
]
] |
The energy eigenvalues of a Dirac particle for the hyperbolic-type potential field have been computed approximately. It is obtained a transcendental function of energy, $\mathcal{F}(E)$, by writing in terms of confluent Heun functions. The numerical values of energy are then obtained by fixing the zeros on "$E$-axis" for both complex functions $Re[\mathcal{F}(E)]$ and $Im[\mathcal{F}(E)]$.
| 9.295506
| 9.945377
| 8.95395
| 8.484695
| 10.112432
| 10.094481
| 9.561992
| 8.761835
| 8.835165
| 9.396949
| 9.034951
| 9.477872
| 9.119888
| 8.991719
| 8.885444
| 9.086948
| 9.245087
| 8.52834
| 8.934557
| 8.56019
| 8.69461
|
1609.00716
|
Leonardo Senatore
|
Leonardo Senatore
|
Lectures on Inflation
|
87 pages, 29 figures
| null |
10.1142/9789813149441_0008
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Planning to explore the beginning of the Universe? A lightweight introductory
guide to the theory of Inflation.
|
[
{
"created": "Fri, 2 Sep 2016 19:53:05 GMT",
"version": "v1"
}
] |
2016-12-21
|
[
[
"Senatore",
"Leonardo",
""
]
] |
Planning to explore the beginning of the Universe? A lightweight introductory guide to the theory of Inflation.
| 52.031307
| 48.540066
| 43.697948
| 43.114475
| 45.176205
| 40.605152
| 38.232716
| 35.495224
| 41.200191
| 45.373943
| 45.266758
| 35.392879
| 40.43581
| 42.475529
| 42.874966
| 41.154217
| 36.758175
| 41.020081
| 41.281391
| 40.829464
| 54.455044
|
1212.1146
|
Marco Chiodaroli
|
John Joseph M. Carrasco, Marco Chiodaroli, Murat Gunaydin and Radu
Roiban
|
One-loop four-point amplitudes in pure and matter-coupled N <= 4
supergravity
|
41 pages, 3 figures, PDFLaTeX, section 3.2 expanded, version accepted
for publication in JHEP
|
JHEP 1303 (2013) 056
|
10.1007/JHEP03(2013)056
|
IGC-12/11-5; SU-ITP-12/41
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct all supergravity theories that can be obtained through
factorized orbifold projections of N=8 supergravity, exposing their double-copy
structure, and calculate their one-loop four-point scattering amplitudes. We
observe a unified structure in both matter and gravity amplitudes, and
demonstrate that the four-graviton amplitudes are insensitive to the precise
nature of the matter couplings. We show that these amplitudes are identical for
the two different realizations of N=4 supergravity with two vector multiplets,
and argue that this feature extends to all multiplicities and loop orders as
well as to higher dimensions. We also construct a selected set of
supergravities obtained through a non-factorized orbifold action. Furthermore
we calculate one-loop four-point amplitudes for all pure super-Yang-Mills
theories with less-than-maximal supersymmetry using the duality between color
and kinematics, finding here a unified expression that holds for all four gluon
amplitudes in the theories. We recover the related amplitudes of factorized
N<=4 supergravities employing the double-copy construction. We observe a
requirement that the four-point loop-level amplitudes have non-local integrand
representations, exhibiting a mild non-locality in the form of inverse powers
of the three external Mandelstam invariants. These are the first loop-level
color-kinematic-satisfying representations in reduced supersymmetry theories.
|
[
{
"created": "Wed, 5 Dec 2012 20:16:24 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Mar 2013 17:38:11 GMT",
"version": "v2"
}
] |
2015-06-12
|
[
[
"Carrasco",
"John Joseph M.",
""
],
[
"Chiodaroli",
"Marco",
""
],
[
"Gunaydin",
"Murat",
""
],
[
"Roiban",
"Radu",
""
]
] |
We construct all supergravity theories that can be obtained through factorized orbifold projections of N=8 supergravity, exposing their double-copy structure, and calculate their one-loop four-point scattering amplitudes. We observe a unified structure in both matter and gravity amplitudes, and demonstrate that the four-graviton amplitudes are insensitive to the precise nature of the matter couplings. We show that these amplitudes are identical for the two different realizations of N=4 supergravity with two vector multiplets, and argue that this feature extends to all multiplicities and loop orders as well as to higher dimensions. We also construct a selected set of supergravities obtained through a non-factorized orbifold action. Furthermore we calculate one-loop four-point amplitudes for all pure super-Yang-Mills theories with less-than-maximal supersymmetry using the duality between color and kinematics, finding here a unified expression that holds for all four gluon amplitudes in the theories. We recover the related amplitudes of factorized N<=4 supergravities employing the double-copy construction. We observe a requirement that the four-point loop-level amplitudes have non-local integrand representations, exhibiting a mild non-locality in the form of inverse powers of the three external Mandelstam invariants. These are the first loop-level color-kinematic-satisfying representations in reduced supersymmetry theories.
| 9.664117
| 10.088105
| 11.660875
| 9.657681
| 10.336009
| 10.044002
| 10.144152
| 9.777822
| 9.822298
| 11.467329
| 9.09926
| 9.462349
| 9.642951
| 9.393864
| 9.468329
| 9.361606
| 9.655807
| 9.480378
| 9.47977
| 9.663487
| 9.336349
|
0812.1934
|
Alexey Anisimov
|
A. Anisimov, W. Buchmueller, M. Drewes, S. Mendizabal
|
Nonequilibrium Dynamics of Scalar Fields in a Thermal Bath
|
37 pages, 14 figures; references added
|
Annals Phys.324:1234-1260,2009
|
10.1016/j.aop.2009.01.001
|
DESY 08-124
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the approach to equilibrium for a scalar field which is coupled to a
large thermal bath. Our analysis of the initial value problem is based on
Kadanoff-Baym equations which are shown to be equivalent to a stochastic
Langevin equation. The interaction with the thermal bath generates a
temperature-dependent spectral density, either through decay and inverse decay
processes or via Landau damping. In equilibrium, energy density and pressure
are determined by the Bose-Einstein distribution function evaluated at a
complex quasi-particle pole. The time evolution of the statistical propagator
is compared with solutions of the Boltzmann equations for particles as well as
quasi-particles. The dependence on initial conditions and the range of validity
of the Boltzmann approximation are determined.
|
[
{
"created": "Wed, 10 Dec 2008 15:24:41 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Dec 2008 13:19:29 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Anisimov",
"A.",
""
],
[
"Buchmueller",
"W.",
""
],
[
"Drewes",
"M.",
""
],
[
"Mendizabal",
"S.",
""
]
] |
We study the approach to equilibrium for a scalar field which is coupled to a large thermal bath. Our analysis of the initial value problem is based on Kadanoff-Baym equations which are shown to be equivalent to a stochastic Langevin equation. The interaction with the thermal bath generates a temperature-dependent spectral density, either through decay and inverse decay processes or via Landau damping. In equilibrium, energy density and pressure are determined by the Bose-Einstein distribution function evaluated at a complex quasi-particle pole. The time evolution of the statistical propagator is compared with solutions of the Boltzmann equations for particles as well as quasi-particles. The dependence on initial conditions and the range of validity of the Boltzmann approximation are determined.
| 8.379003
| 8.393272
| 7.752229
| 7.432097
| 7.629694
| 8.266353
| 8.054076
| 8.360162
| 7.416309
| 7.903147
| 7.726843
| 7.823076
| 7.589363
| 7.273767
| 7.648979
| 7.718403
| 7.502678
| 7.715881
| 7.20498
| 7.68176
| 7.846538
|
0912.4468
|
Mubasher Jamil
|
Mubasher Jamil
|
A single model of interacting dark energy: generalized phantom energy or
generalized Chaplygin gas
|
14 pages, 7 figures
|
Int.J.Theor.Phys.49:144-151,2010
|
10.1007/s10773-009-0187-7
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
I present a model in which dark energy interacts with matter. The former is
represented by a variable equation of state. It is shown that the phantom
crossing takes place at zero redshift, moreover, stable scaling solution of the
Friedmann equations is obtained. I show that dark energy is most probably be
either generalized phantom energy or the generalized Chaplygin gas.
|
[
{
"created": "Tue, 22 Dec 2009 17:49:30 GMT",
"version": "v1"
}
] |
2010-01-11
|
[
[
"Jamil",
"Mubasher",
""
]
] |
I present a model in which dark energy interacts with matter. The former is represented by a variable equation of state. It is shown that the phantom crossing takes place at zero redshift, moreover, stable scaling solution of the Friedmann equations is obtained. I show that dark energy is most probably be either generalized phantom energy or the generalized Chaplygin gas.
| 15.723478
| 17.269659
| 13.894299
| 13.173752
| 15.323379
| 15.262743
| 18.235685
| 12.893784
| 15.318833
| 12.86876
| 14.119957
| 14.053905
| 13.763758
| 14.027151
| 13.98725
| 13.792464
| 13.819864
| 13.359021
| 14.350257
| 13.074143
| 13.70114
|
1612.08827
|
Hiroaki Matsunaga
|
Hiroaki Matsunaga
|
Notes on the Wess-Zumino-Witten-like structure: $L_{\infty }$ triplet
and NS-NS superstring field theory
|
23+3 pages; Published ver
|
JHEP 1705 (2017) 095
|
10.1007/JHEP05(2017)095
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the NS-NS sector of superstring field theory, there potentially exist
three nilpotent generators of gauge transformations and two constraint
equations: It makes the gauge algebra of type II theory somewhat complicated.
In this paper, we show that every NS-NS actions have their WZW-like forms, and
that a triplet of mutually commutative $L_{\infty }$ products completely
determines the gauge structure of NS-NS superstring field theory via its
WZW-like structure. We give detailed analysis about it and present its
characteristic properties by focusing on two NS-NS actions proposed by
arXiv:1512.03379 and arXiv:1403.0940.
|
[
{
"created": "Wed, 28 Dec 2016 08:56:52 GMT",
"version": "v1"
},
{
"created": "Sun, 15 Jul 2018 07:45:24 GMT",
"version": "v2"
}
] |
2018-07-17
|
[
[
"Matsunaga",
"Hiroaki",
""
]
] |
In the NS-NS sector of superstring field theory, there potentially exist three nilpotent generators of gauge transformations and two constraint equations: It makes the gauge algebra of type II theory somewhat complicated. In this paper, we show that every NS-NS actions have their WZW-like forms, and that a triplet of mutually commutative $L_{\infty }$ products completely determines the gauge structure of NS-NS superstring field theory via its WZW-like structure. We give detailed analysis about it and present its characteristic properties by focusing on two NS-NS actions proposed by arXiv:1512.03379 and arXiv:1403.0940.
| 16.192547
| 15.03547
| 17.092577
| 13.560522
| 16.565304
| 16.906658
| 15.891343
| 14.822737
| 15.396213
| 19.34436
| 15.193538
| 14.154469
| 15.210832
| 13.58531
| 13.252011
| 13.502933
| 13.487833
| 13.861959
| 13.787628
| 14.810333
| 14.013937
|
hep-th/0510107
|
Sarben Sarkar
|
Gerald A. Goldin and Sarben Sarkar
|
Local Currents for a Deformed Algebra of Quantum Mechanics with a
Fundamental Length Scale
|
10 pages REVTex, no figures
|
J.Phys. A39 (2006) 2757-2772
|
10.1088/0305-4470/39/11/012
| null |
hep-th
| null |
We explore some explicit representations of a certain stable deformed algebra
of quantum mechanics, considered by R. Vilela Mendes, having a fundamental
length scale. The relation of the irreducible representations of the deformed
algebra to those of the (limiting) Heisenberg algebra is discussed, and we
construct the generalized harmonic oscillator Hamiltonian in this framework. To
obtain local currents for this algebra, we extend the usual nonrelativistic
local current algebra of vector fields and the corresponding group of
diffeomorphisms, modeling the quantum configuration space as a commutative
spatial manifold with one additional dimension.
|
[
{
"created": "Thu, 13 Oct 2005 11:13:59 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Jan 2006 20:42:55 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Goldin",
"Gerald A.",
""
],
[
"Sarkar",
"Sarben",
""
]
] |
We explore some explicit representations of a certain stable deformed algebra of quantum mechanics, considered by R. Vilela Mendes, having a fundamental length scale. The relation of the irreducible representations of the deformed algebra to those of the (limiting) Heisenberg algebra is discussed, and we construct the generalized harmonic oscillator Hamiltonian in this framework. To obtain local currents for this algebra, we extend the usual nonrelativistic local current algebra of vector fields and the corresponding group of diffeomorphisms, modeling the quantum configuration space as a commutative spatial manifold with one additional dimension.
| 14.37812
| 16.069498
| 15.254431
| 13.689774
| 15.505514
| 15.27507
| 14.656856
| 14.695618
| 14.905643
| 15.472968
| 14.093636
| 14.810524
| 13.6357
| 13.729482
| 14.308502
| 14.287677
| 14.354944
| 13.757858
| 14.144658
| 14.037512
| 13.725933
|
hep-th/0104212
|
Niall MacKay
|
N.J. MacKay and B.J. Short
|
Boundary scattering, symmetric spaces and the principal chiral model on
the half-line
|
52 pages; v3 corrects an error in the statement of
crossing-unitarity, allowing greater freedom in some reflection matrices
|
Commun.Math.Phys.233:313-354,2003; Erratum-ibid.245:425-428,2004
|
10.1007/s00220-002-0735-y
| null |
hep-th
| null |
We investigate integrable boundary conditions (BCs) for the principal chiral
model on the half-line, and rational solutions of the boundary Yang-Baxter
equation (BYBE). In each case we find a connection with (type I, Riemannian,
globally) symmetric spaces G/H: there is a class of integrable BCs in which the
boundary field is restricted to lie in a coset of H; these BCs are parametrized
by G/H x G/H; there are rational solutions of the BYBE in the defining
representations of all classical G parametrized by G/H; and using these we
propose boundary S-matrices for the principal chiral model, parametrized by G/H
x G/H, which correspond to our boundary conditions.
|
[
{
"created": "Tue, 24 Apr 2001 16:26:33 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Aug 2002 16:14:50 GMT",
"version": "v2"
},
{
"created": "Tue, 29 Jul 2003 13:14:34 GMT",
"version": "v3"
}
] |
2014-11-18
|
[
[
"MacKay",
"N. J.",
""
],
[
"Short",
"B. J.",
""
]
] |
We investigate integrable boundary conditions (BCs) for the principal chiral model on the half-line, and rational solutions of the boundary Yang-Baxter equation (BYBE). In each case we find a connection with (type I, Riemannian, globally) symmetric spaces G/H: there is a class of integrable BCs in which the boundary field is restricted to lie in a coset of H; these BCs are parametrized by G/H x G/H; there are rational solutions of the BYBE in the defining representations of all classical G parametrized by G/H; and using these we propose boundary S-matrices for the principal chiral model, parametrized by G/H x G/H, which correspond to our boundary conditions.
| 6.899255
| 7.404243
| 9.706976
| 7.146285
| 7.599651
| 7.652377
| 8.217464
| 7.161612
| 7.070196
| 9.332451
| 6.757792
| 7.05468
| 8.218832
| 6.912833
| 7.052227
| 7.096071
| 7.192779
| 6.835242
| 7.274091
| 7.884007
| 6.804954
|
1702.07724
|
Nicolai Christiansen
|
Nicolai Christiansen and Astrid Eichhorn
|
An asymptotically safe solution to the U(1) triviality problem
|
6 pages plus references; 5 figures; version identical with published
one; slight change in notation; discussion of effect of charged matter added
| null |
10.1016/j.physletb.2017.04.047
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explore whether quantum gravity effects within the asymptotic safety
paradigm can provide a predictive ultraviolet completion for Abelian gauge
theories. We evaluate the effect of quantum gravity fluctuations on the running
couplings in the gauge sector and discover an asymptotically safe fixed point
of the Renormalization Group. In particular, if the strength of gravitational
interactions remains below a critical strength, the minimal gauge coupling
becomes asymptotically free. Further, we point out that a completely
asymptotically free dynamics for the gauge field is impossible to achieve, as
asymptotically safe quantum gravity necessarily induces nonvanishing
higher-order interactions for the gauge field in the ultraviolet.
|
[
{
"created": "Fri, 24 Feb 2017 19:00:05 GMT",
"version": "v1"
},
{
"created": "Wed, 17 May 2017 10:22:04 GMT",
"version": "v2"
}
] |
2017-05-18
|
[
[
"Christiansen",
"Nicolai",
""
],
[
"Eichhorn",
"Astrid",
""
]
] |
We explore whether quantum gravity effects within the asymptotic safety paradigm can provide a predictive ultraviolet completion for Abelian gauge theories. We evaluate the effect of quantum gravity fluctuations on the running couplings in the gauge sector and discover an asymptotically safe fixed point of the Renormalization Group. In particular, if the strength of gravitational interactions remains below a critical strength, the minimal gauge coupling becomes asymptotically free. Further, we point out that a completely asymptotically free dynamics for the gauge field is impossible to achieve, as asymptotically safe quantum gravity necessarily induces nonvanishing higher-order interactions for the gauge field in the ultraviolet.
| 9.756257
| 9.072983
| 9.501549
| 8.904129
| 9.294535
| 9.257648
| 8.62299
| 9.201097
| 9.190861
| 11.051872
| 8.372046
| 8.985665
| 9.382209
| 9.002933
| 9.412388
| 9.156541
| 9.204927
| 9.182055
| 9.270166
| 9.485167
| 9.028735
|
0803.3957
|
Anirban Saha Dr.
|
Anirban Saha
|
Galilean symmetry in noncommutative Gravitational Quantum Well
|
9 pages, Revtex, Section I and IV rewritten, Accepted for publication
in Phys. Rev. D
|
Phys.Rev.D81:125002,2010
|
10.1103/PhysRevD.81.125002
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A thorough analysis of Galilean symmetries for the gravitational well problem
on a noncommutative plane is presented. A complete closure of the one-parameter
centrally extended Galilean algebra is realised for the model. This implies
that the field theoretic model constructed to describe noncommutative
gravitational quantum well in \cite{ani} is indeed independent of the
coordinate choice. Hence the energy spectrum predicted by the model can be
associated with the experimental results to establish the upper-bound on
time-space noncommutative parameter. Interestingly, noncommutativity is shown
to increase the gravitational pull on the neutron trapped in the gravitational
well.
|
[
{
"created": "Thu, 27 Mar 2008 15:23:33 GMT",
"version": "v1"
},
{
"created": "Tue, 25 May 2010 15:10:03 GMT",
"version": "v2"
}
] |
2013-01-15
|
[
[
"Saha",
"Anirban",
""
]
] |
A thorough analysis of Galilean symmetries for the gravitational well problem on a noncommutative plane is presented. A complete closure of the one-parameter centrally extended Galilean algebra is realised for the model. This implies that the field theoretic model constructed to describe noncommutative gravitational quantum well in \cite{ani} is indeed independent of the coordinate choice. Hence the energy spectrum predicted by the model can be associated with the experimental results to establish the upper-bound on time-space noncommutative parameter. Interestingly, noncommutativity is shown to increase the gravitational pull on the neutron trapped in the gravitational well.
| 17.691771
| 13.768514
| 15.797211
| 16.225063
| 15.254768
| 13.422282
| 15.07693
| 14.172096
| 14.56561
| 16.372011
| 13.379549
| 14.741395
| 15.691882
| 15.220375
| 15.443819
| 14.66643
| 15.202982
| 14.986692
| 15.005474
| 16.029421
| 15.219748
|
1508.07546
|
Sylvester Gates Jr.
|
S. J. Gates, Jr., T. Grover, M. D. Miller-Dickson, B. A. Mondal, A.
Oskoui, S. Regmi, E. Ross, and R. Shetty
|
A Lorentz Covariant Holoraumy-Induced "Gadget" From Minimal Off-Shell
4D, N = 1 Supermultiplets
|
LaTeX twice, 4 figures, 17 ppg
| null |
10.1007/JHEP11(2015)113
|
UMDEPP-015-011
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Starting from three minimal off-shell 4D, $\cal N$ = 1 supermultiplets, using
constructions solely defined within the confines of the four dimensional field
theory we show the existence of a "gadget" - a member of a class of metrics on
the representation space of the supermultiplets - whose values directly and
completely correspond to the values of a metric defined on the 1d, $N$ = 4
adinkra networks adjacency matrices corresponding to the projections of the
four dimensional supermultiplets.
|
[
{
"created": "Sun, 30 Aug 2015 09:01:23 GMT",
"version": "v1"
}
] |
2016-01-20
|
[
[
"Gates,",
"S. J.",
"Jr."
],
[
"Grover",
"T.",
""
],
[
"Miller-Dickson",
"M. D.",
""
],
[
"Mondal",
"B. A.",
""
],
[
"Oskoui",
"A.",
""
],
[
"Regmi",
"S.",
""
],
[
"Ross",
"E.",
""
],
[
"Shetty",
"R.",
""
]
] |
Starting from three minimal off-shell 4D, $\cal N$ = 1 supermultiplets, using constructions solely defined within the confines of the four dimensional field theory we show the existence of a "gadget" - a member of a class of metrics on the representation space of the supermultiplets - whose values directly and completely correspond to the values of a metric defined on the 1d, $N$ = 4 adinkra networks adjacency matrices corresponding to the projections of the four dimensional supermultiplets.
| 21.076057
| 20.061413
| 22.822577
| 18.823908
| 18.635689
| 20.596113
| 18.647821
| 18.25762
| 17.72987
| 25.67503
| 20.903448
| 20.123178
| 21.28447
| 19.188482
| 19.240923
| 20.076393
| 19.814108
| 19.020296
| 19.266485
| 22.271814
| 19.520075
|
2204.01508
|
Leo Rodriguez
|
Daksh Aggarwal, Dominic Chang, Quentin Dancewicz Helmers, Nesibe
Sivrioglu, L. R. Ram-Mohan, Leo Rodriguez, Shanshan Rodriguez and Raid
Suleiman
|
N\"other Currents, Black Hole Entropy Universality and CFT Duality in
Conformal Weyl Gravity
|
21 pages, no figures. References added. Minor revisions and edits
based upon comments and feedback
|
IJMPD 32, 2350017 (2023)
|
10.1142/S0218271823500177
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
In this paper we study black hole entropy universality within the Conformal
Weyl gravity paradigm. We do this by first computing the entropy of specific
vacuum and non-vacuum solutions, previously unexplored in Conformal Weyl
gravity via both the N\"other current method and Wald's entropy formula. For
the vacuum case, we explore the near horizon near extremal Kerr metric, which
is also a vacuum solution to Conformal Weyl gravity and not previously studied
in this setting. For the non-vacuum case we couple the conformal Weyl gravity
field equations to a near horizon (linear) $U(1)$ gauge potential and analyze
the respective found solutions. We highlight the non-universality of black hole
entropy between our studied black hole solutions of varying symmetries. However
despite non-universality, the respective black hole entropies are in congruence
with Wald's entropy formula for the specific gravity theory. Finally and
despite non-universality, we comment on the construction of a near horizon CFT
dual to one of our unique non-vacuum solutions. Due to the non-universality, we
must introduce a parameter (similarly to entropy calculations in LQG) which we
also call $\gamma$ and relating to the Weyl anomaly coefficient. The
construction follows an $AdS_2/CFT_1$ correspondence in the near horizon, which
enables the computation of the full asymptotic symmetry group of the chosen
non-vacuum conformal Weyl black hole and its near horizon quantum CFT dual. We
conclude with a discussion and outlook for future work.
|
[
{
"created": "Mon, 4 Apr 2022 14:08:23 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Jun 2022 04:39:57 GMT",
"version": "v2"
}
] |
2023-04-06
|
[
[
"Aggarwal",
"Daksh",
""
],
[
"Chang",
"Dominic",
""
],
[
"Helmers",
"Quentin Dancewicz",
""
],
[
"Sivrioglu",
"Nesibe",
""
],
[
"Ram-Mohan",
"L. R.",
""
],
[
"Rodriguez",
"Leo",
""
],
[
"Rodriguez",
"Shanshan",
""
],
[
"Suleiman",
"Raid",
""
]
] |
In this paper we study black hole entropy universality within the Conformal Weyl gravity paradigm. We do this by first computing the entropy of specific vacuum and non-vacuum solutions, previously unexplored in Conformal Weyl gravity via both the N\"other current method and Wald's entropy formula. For the vacuum case, we explore the near horizon near extremal Kerr metric, which is also a vacuum solution to Conformal Weyl gravity and not previously studied in this setting. For the non-vacuum case we couple the conformal Weyl gravity field equations to a near horizon (linear) $U(1)$ gauge potential and analyze the respective found solutions. We highlight the non-universality of black hole entropy between our studied black hole solutions of varying symmetries. However despite non-universality, the respective black hole entropies are in congruence with Wald's entropy formula for the specific gravity theory. Finally and despite non-universality, we comment on the construction of a near horizon CFT dual to one of our unique non-vacuum solutions. Due to the non-universality, we must introduce a parameter (similarly to entropy calculations in LQG) which we also call $\gamma$ and relating to the Weyl anomaly coefficient. The construction follows an $AdS_2/CFT_1$ correspondence in the near horizon, which enables the computation of the full asymptotic symmetry group of the chosen non-vacuum conformal Weyl black hole and its near horizon quantum CFT dual. We conclude with a discussion and outlook for future work.
| 9.279293
| 9.91335
| 9.344164
| 8.785711
| 9.014931
| 9.345463
| 9.802668
| 9.030313
| 8.994464
| 9.842061
| 8.877031
| 8.737441
| 9.224285
| 8.809846
| 8.904415
| 8.851839
| 9.077541
| 9.008411
| 9.042716
| 9.202497
| 8.636999
|
hep-th/0004123
|
Horatiu Stefan Nastase
|
Horatiu Nastase and Diana Vaman (YITP, SUNY Stony Brook)
|
The AdS-CFT correspondence, consistent truncations and gauge invariance
|
19 pages, 2 figures
| null | null | null |
hep-th
| null |
We give arguments for a conjecture made in a previous paper, that one has to
use only the gauged sugra action for the calculation of correlators of certain
operators via the AdS-CFT correspondence. The existence of consistent
truncations implies that the massive modes decouple, and gauged supergravity is
sufficient for computing n-point functions of CFT operators coupled to the
massless (sugra) sector. The action obtained from the linear ansatz, of the
type $\phi(x,y)=\phi_I(x)Y^I(y)$ gives only part of the gauged sugra. This
means that there is a difference for the correlators on the boundary of AdS
space. We find, studying examples of correlators, that the right prescription
is to use the full gauged sugra, which implies using the full nonlinear KK
ansatz. To this purpose, we analyze 3 point functions of various gauge fields
in 5 and 7 dimensions, and the R-current anomaly in the corresponding CFT. We
also show that the nonlinear rotation in the tower of scalar fields of Lee et
al., Corrado et al. and Bastianelli and Zucchini produces a consistent
truncation to the massless level and coincides with the Taylor expansion of the
nonlinear KK ansatz in massless scalar fluctuations. Finally, we speculate
about the way to do the full nonlinear rotation for the massive tower.
|
[
{
"created": "Mon, 17 Apr 2000 19:41:14 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Nastase",
"Horatiu",
"",
"YITP, SUNY Stony Brook"
],
[
"Vaman",
"Diana",
"",
"YITP, SUNY Stony Brook"
]
] |
We give arguments for a conjecture made in a previous paper, that one has to use only the gauged sugra action for the calculation of correlators of certain operators via the AdS-CFT correspondence. The existence of consistent truncations implies that the massive modes decouple, and gauged supergravity is sufficient for computing n-point functions of CFT operators coupled to the massless (sugra) sector. The action obtained from the linear ansatz, of the type $\phi(x,y)=\phi_I(x)Y^I(y)$ gives only part of the gauged sugra. This means that there is a difference for the correlators on the boundary of AdS space. We find, studying examples of correlators, that the right prescription is to use the full gauged sugra, which implies using the full nonlinear KK ansatz. To this purpose, we analyze 3 point functions of various gauge fields in 5 and 7 dimensions, and the R-current anomaly in the corresponding CFT. We also show that the nonlinear rotation in the tower of scalar fields of Lee et al., Corrado et al. and Bastianelli and Zucchini produces a consistent truncation to the massless level and coincides with the Taylor expansion of the nonlinear KK ansatz in massless scalar fluctuations. Finally, we speculate about the way to do the full nonlinear rotation for the massive tower.
| 12.083744
| 12.813102
| 13.466697
| 11.959417
| 12.587018
| 12.848768
| 12.682658
| 12.415565
| 12.354362
| 12.765303
| 12.945107
| 11.87282
| 12.754827
| 11.84912
| 11.973508
| 12.063882
| 11.710146
| 11.875601
| 11.820077
| 12.068805
| 12.001243
|
1912.04885
|
Sergey Volkov
|
Sergey Volkov
|
Infrared and Ultraviolet Power Counting on the Mass Shell in Quantum
Electrodynamics
| null | null |
10.1016/j.nuclphysb.2020.115232
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A power counting rule is provided that allows us to obtain upper bounds for
the absolute values of Feynman parametric integrands. The rule reflects both
the ultraviolet and infrared behavior taking into account that the external
momenta are on the mass shell. It gives us the ability to rigorously prove the
absolute convergence of the corresponding integrals. The consideration is
limited to the case of the quantum electrodynamics Feynman graphs contributing
to the lepton magnetic moments and not containing either lepton loops or
ultraviolet divergent subgraphs. However, a rigorous mathematical proof is
given for all Feynman graphs satisfying these restrictions. The power counting
rule is formulated in terms of Hepp's sectors, ultraviolet degrees of
divergence and so-called I-closures. The obtained upper bound can not be
substantially improved: the illustrative example is provided. The paper
provides the first mathematically rigorous treatment of the ultraviolet
behavior together with the on-shell infrared behavior with some kind of
generality. Practical applications of this rule are explained.
|
[
{
"created": "Tue, 10 Dec 2019 18:51:54 GMT",
"version": "v1"
},
{
"created": "Sat, 22 Aug 2020 13:57:16 GMT",
"version": "v2"
},
{
"created": "Mon, 5 Oct 2020 18:28:41 GMT",
"version": "v3"
},
{
"created": "Mon, 12 Oct 2020 20:55:28 GMT",
"version": "v4"
}
] |
2020-11-10
|
[
[
"Volkov",
"Sergey",
""
]
] |
A power counting rule is provided that allows us to obtain upper bounds for the absolute values of Feynman parametric integrands. The rule reflects both the ultraviolet and infrared behavior taking into account that the external momenta are on the mass shell. It gives us the ability to rigorously prove the absolute convergence of the corresponding integrals. The consideration is limited to the case of the quantum electrodynamics Feynman graphs contributing to the lepton magnetic moments and not containing either lepton loops or ultraviolet divergent subgraphs. However, a rigorous mathematical proof is given for all Feynman graphs satisfying these restrictions. The power counting rule is formulated in terms of Hepp's sectors, ultraviolet degrees of divergence and so-called I-closures. The obtained upper bound can not be substantially improved: the illustrative example is provided. The paper provides the first mathematically rigorous treatment of the ultraviolet behavior together with the on-shell infrared behavior with some kind of generality. Practical applications of this rule are explained.
| 10.817906
| 12.855251
| 10.827117
| 11.795964
| 12.799854
| 13.257236
| 11.747515
| 12.76516
| 11.255702
| 12.599695
| 11.760588
| 11.257508
| 10.908748
| 10.452651
| 10.628331
| 11.359977
| 11.056602
| 11.140594
| 11.04202
| 11.133067
| 11.225012
|
1208.3821
|
I-Sheng Yang
|
I-Sheng Yang
|
Probability of Slowroll Inflation in the Multiverse
|
version 3, 21 pages, resubmit to PRD recommanded by referee
| null |
10.1103/PhysRevD.86.103537
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Slowroll after tunneling is a crucial step in one popular framework of the
multiverse---false vacuum eternal inflation (FVEI). In a landscape with a large
number of fields, we provide a heuristic estimation for its probability. We
find that the chance to slowroll is exponentially suppressed, where the
exponent comes from the number of fields. However, the relative probability to
have more e-foldings is only mildly suppressed as $N_e^{-\alpha} $ with
$\alpha\sim3$. Base on these two properties, we show that the FVEI picture is
still self-consistent and may have a strong preference between different
slowroll models.
|
[
{
"created": "Sun, 19 Aug 2012 10:51:12 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Sep 2012 12:54:01 GMT",
"version": "v2"
},
{
"created": "Tue, 23 Oct 2012 12:51:22 GMT",
"version": "v3"
}
] |
2013-05-30
|
[
[
"Yang",
"I-Sheng",
""
]
] |
Slowroll after tunneling is a crucial step in one popular framework of the multiverse---false vacuum eternal inflation (FVEI). In a landscape with a large number of fields, we provide a heuristic estimation for its probability. We find that the chance to slowroll is exponentially suppressed, where the exponent comes from the number of fields. However, the relative probability to have more e-foldings is only mildly suppressed as $N_e^{-\alpha} $ with $\alpha\sim3$. Base on these two properties, we show that the FVEI picture is still self-consistent and may have a strong preference between different slowroll models.
| 14.145967
| 13.367077
| 11.978704
| 12.976402
| 13.1519
| 13.716633
| 14.046766
| 13.611122
| 13.830181
| 14.3894
| 12.640751
| 12.454695
| 12.448475
| 12.62427
| 12.772853
| 12.870257
| 12.54563
| 13.175505
| 12.85795
| 13.14648
| 13.117341
|
1706.04612
|
Shouvik Datta
|
Diptarka Das, Shouvik Datta, Sridip Pal
|
Charged structure constants from modularity
|
22 pages, 1 figure; v2: approximates published version
|
JHEP 11 (2017) 183
|
10.1007/JHEP11(2017)183
| null |
hep-th cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive a universal formula for the average heavy-heavy-light structure
constants for 2d CFTs with non-vanishing u(1) charge. The derivation utilizes
the modular properties of one-point functions on the torus. Refinements in N=2
SCFTs, show that the resulting Cardy-like formula for the structure constants
has precisely the same shifts in the central charge as that of the
thermodynamic entropy found earlier. This analysis generalizes the recent
results by Kraus and Maloney for CFTs with an additional global u(1) symmetry.
Our results at large central charge are also shown to match with computations
from the holographic dual, which suggest that the averaged CFT three-point
coefficient also serves as an useful probe of detecting black hole hair.
|
[
{
"created": "Wed, 14 Jun 2017 17:59:24 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Nov 2017 10:37:16 GMT",
"version": "v2"
}
] |
2017-11-29
|
[
[
"Das",
"Diptarka",
""
],
[
"Datta",
"Shouvik",
""
],
[
"Pal",
"Sridip",
""
]
] |
We derive a universal formula for the average heavy-heavy-light structure constants for 2d CFTs with non-vanishing u(1) charge. The derivation utilizes the modular properties of one-point functions on the torus. Refinements in N=2 SCFTs, show that the resulting Cardy-like formula for the structure constants has precisely the same shifts in the central charge as that of the thermodynamic entropy found earlier. This analysis generalizes the recent results by Kraus and Maloney for CFTs with an additional global u(1) symmetry. Our results at large central charge are also shown to match with computations from the holographic dual, which suggest that the averaged CFT three-point coefficient also serves as an useful probe of detecting black hole hair.
| 11.916715
| 11.710506
| 14.559739
| 12.090352
| 12.347104
| 10.506063
| 12.472455
| 11.573665
| 11.427634
| 15.023669
| 11.538258
| 11.351521
| 14.259846
| 11.659188
| 11.378803
| 11.34082
| 10.760053
| 11.712187
| 11.593775
| 13.312105
| 11.050605
|
hep-th/9212115
|
Daniel S. Freed
|
Daniel S. Freed
|
Higher Algebraic Structures and Quantization
|
62 pages + 16 figures (revised version). In this revision we make
some small corrections and clarifications
|
Commun.Math.Phys. 159 (1994) 343-398
|
10.1007/BF02102643
| null |
hep-th math.QA
| null |
We derive (quasi-)quantum groups in 2+1 dimensional topological field theory
directly from the classical action and the path integral. Detailed computations
are carried out for the Chern-Simons theory with finite gauge group. The
principles behind our computations are presumably more general. We extend the
classical action in a d+1 dimensional topological theory to manifolds of
dimension less than d+1. We then ``construct'' a generalized path integral
which in d+1 dimensions reduces to the standard one and in d dimensions
reproduces the quantum Hilbert space. In a 2+1 dimensional topological theory
the path integral over the circle is the category of representations of a
quasi-quantum group. In this paper we only consider finite theories, in which
the generalized path integral reduces to a finite sum. New ideas are needed to
extend beyond the finite theories treated here.
|
[
{
"created": "Fri, 18 Dec 1992 17:07:20 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Jun 1993 20:17:54 GMT",
"version": "v2"
}
] |
2016-09-06
|
[
[
"Freed",
"Daniel S.",
""
]
] |
We derive (quasi-)quantum groups in 2+1 dimensional topological field theory directly from the classical action and the path integral. Detailed computations are carried out for the Chern-Simons theory with finite gauge group. The principles behind our computations are presumably more general. We extend the classical action in a d+1 dimensional topological theory to manifolds of dimension less than d+1. We then ``construct'' a generalized path integral which in d+1 dimensions reduces to the standard one and in d dimensions reproduces the quantum Hilbert space. In a 2+1 dimensional topological theory the path integral over the circle is the category of representations of a quasi-quantum group. In this paper we only consider finite theories, in which the generalized path integral reduces to a finite sum. New ideas are needed to extend beyond the finite theories treated here.
| 8.197337
| 8.427121
| 8.574861
| 8.395742
| 8.330777
| 8.508733
| 8.5048
| 8.251765
| 8.039001
| 8.721638
| 8.095583
| 8.079489
| 8.361877
| 7.907018
| 8.239372
| 7.985754
| 8.049388
| 7.951135
| 7.9537
| 8.292256
| 7.966507
|
1708.06135
|
Marcin Pi\k{a}tek dr.
|
Marcin Piatek and Artur R. Pietrykowski
|
Solving Heun's equation using conformal blocks
|
28 pages, revised and extended version
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is known that the classical limit of the second order BPZ null vector
decoupling equation for the simplest two 5-point degenerate spherical conformal
blocks yields: (i) the normal form of the Heun equation with the complex
accessory parameter determined by the 4-point classical block on the sphere,
and (ii) a pair of the Floquet type linearly independent solutions. A key point
in a derivation of the above result is the classical asymptotic of the 5-point
degenerate blocks in which the so-called heavy and light contributions
decouple. In the present work the semi-classical heavy-light factorization of
the 5-point degenerate conformal blocks is studied. In particular, a mechanism
responsible for the decoupling of the heavy and light contributions is
identified. Moreover, it is shown that the factorization property yields a
practical method of computation of the Floquet type Heun's solutions. Finally,
it should be stressed that tools analyzed in this work have a broad spectrum of
applications, in particular, in the studies of spectral problems with the Heun
class of potentials, sphere-torus correspondence in 2d CFT, the KdV theory, the
connection problem for the Heun equation and black hole physics. These
applications are main motivations for the present work.
|
[
{
"created": "Mon, 21 Aug 2017 10:00:36 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Sep 2017 05:22:08 GMT",
"version": "v2"
},
{
"created": "Sat, 5 May 2018 21:25:17 GMT",
"version": "v3"
}
] |
2018-05-08
|
[
[
"Piatek",
"Marcin",
""
],
[
"Pietrykowski",
"Artur R.",
""
]
] |
It is known that the classical limit of the second order BPZ null vector decoupling equation for the simplest two 5-point degenerate spherical conformal blocks yields: (i) the normal form of the Heun equation with the complex accessory parameter determined by the 4-point classical block on the sphere, and (ii) a pair of the Floquet type linearly independent solutions. A key point in a derivation of the above result is the classical asymptotic of the 5-point degenerate blocks in which the so-called heavy and light contributions decouple. In the present work the semi-classical heavy-light factorization of the 5-point degenerate conformal blocks is studied. In particular, a mechanism responsible for the decoupling of the heavy and light contributions is identified. Moreover, it is shown that the factorization property yields a practical method of computation of the Floquet type Heun's solutions. Finally, it should be stressed that tools analyzed in this work have a broad spectrum of applications, in particular, in the studies of spectral problems with the Heun class of potentials, sphere-torus correspondence in 2d CFT, the KdV theory, the connection problem for the Heun equation and black hole physics. These applications are main motivations for the present work.
| 10.230397
| 10.243873
| 11.827508
| 9.978059
| 10.658837
| 11.158991
| 11.598614
| 10.552329
| 10.402458
| 13.659379
| 10.329944
| 9.8151
| 10.430452
| 9.700699
| 9.938578
| 9.734586
| 9.800283
| 9.996367
| 10.057301
| 10.543468
| 9.649448
|
2206.09609
|
Yang Zhou
|
Feiyu Deng, Yu-Sen An, Yang Zhou
|
JT Gravity from Partial Reduction and Defect Extremal Surface
|
8 pages, 3 figures
|
JHEP02(2023)219
|
10.1007/JHEP02(2023)219
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose the three-dimensional bulk dual for Jackiw-Teitelboim gravity
coupled with CFT$_2$ bath based on partial reduction. The bulk dual is
classical AdS gravity with a defect brane which has small fluctuation in
transverse direction. We derive full Jackiw-Teitelboim gravity action by
considering the transverse fluctuation as a dilaton field. We demonstrate that
the fine grained entropy computed from island formula precisely agrees with
that computed from defect extremal surface. Our construction provides a
Lorentzian higher dimensional dual for Jackiw-Teitelboim gravity and therefore
offers a framework to study problems such as black hole information paradox as
well as gravity/ensemble duality.
|
[
{
"created": "Mon, 20 Jun 2022 07:40:35 GMT",
"version": "v1"
}
] |
2023-02-28
|
[
[
"Deng",
"Feiyu",
""
],
[
"An",
"Yu-Sen",
""
],
[
"Zhou",
"Yang",
""
]
] |
We propose the three-dimensional bulk dual for Jackiw-Teitelboim gravity coupled with CFT$_2$ bath based on partial reduction. The bulk dual is classical AdS gravity with a defect brane which has small fluctuation in transverse direction. We derive full Jackiw-Teitelboim gravity action by considering the transverse fluctuation as a dilaton field. We demonstrate that the fine grained entropy computed from island formula precisely agrees with that computed from defect extremal surface. Our construction provides a Lorentzian higher dimensional dual for Jackiw-Teitelboim gravity and therefore offers a framework to study problems such as black hole information paradox as well as gravity/ensemble duality.
| 12.720742
| 11.220366
| 13.012481
| 10.678807
| 11.787635
| 11.084058
| 10.608876
| 11.066641
| 10.807452
| 13.05369
| 10.63723
| 11.962945
| 12.451753
| 11.630009
| 11.463758
| 11.724112
| 11.88023
| 10.911542
| 11.407507
| 11.959898
| 11.086333
|
1112.2718
|
Daniel Krefl
|
Daniel Krefl and Sheng-Yu Darren Shih
|
Holomorphic Anomaly in Gauge Theory on ALE space
|
28 pages
| null |
10.1007/s11005-013-0617-6
|
UCB-PTH-11/10
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider four-dimensional Omega-deformed N=2 supersymmetric SU(2) gauge
theory on A1 space and its lift to five dimensions. We find that the partition
functions can be reproduced via special geometry and the holomorphic anomaly
equation. Schwinger type integral expressions for the boundary conditions at
the monopole/dyon point in moduli space are inferred. The interpretation of the
five-dimensional partition function as the partition function of a refined
topological string on A1x(local P1xP1) is suggested.
|
[
{
"created": "Mon, 12 Dec 2011 21:07:07 GMT",
"version": "v1"
}
] |
2013-04-08
|
[
[
"Krefl",
"Daniel",
""
],
[
"Shih",
"Sheng-Yu Darren",
""
]
] |
We consider four-dimensional Omega-deformed N=2 supersymmetric SU(2) gauge theory on A1 space and its lift to five dimensions. We find that the partition functions can be reproduced via special geometry and the holomorphic anomaly equation. Schwinger type integral expressions for the boundary conditions at the monopole/dyon point in moduli space are inferred. The interpretation of the five-dimensional partition function as the partition function of a refined topological string on A1x(local P1xP1) is suggested.
| 13.911431
| 10.185025
| 18.516325
| 10.999885
| 11.418445
| 10.655714
| 11.717527
| 11.568202
| 11.851405
| 19.535337
| 11.710754
| 12.417792
| 14.010098
| 12.425785
| 12.335837
| 12.344731
| 12.950132
| 12.666545
| 12.503837
| 14.070598
| 12.542368
|
hep-th/0504107
|
Kei-Ichi Kondo
|
K.-I. Kondo, T. Murakami and T. Shinohara (Chiba Univ.)
|
Yang-Mills theory constructed from Cho--Faddeev--Niemi decomposition
|
17pages, 1 figure; English improved; a version appeared in Prog.
Theor. Phys
|
Prog.Theor.Phys. 115 (2006) 201-216
|
10.1143/PTP.115.201
|
CHIBA-EP-151
|
hep-th hep-ph
| null |
We give a new way of looking at the Cho--Faddeev--Niemi (CFN) decomposition
of the Yang-Mills theory to answer how the enlarged local gauge symmetry
respected by the CFN variables is restricted to obtain another Yang-Mills
theory with the same local and global gauge symmetries as the original
Yang-Mills theory. This may shed new light on the fundamental issue of the
discrepancy between two theories for independent degrees of freedom and the
role of the Maximal Abelian gauge in Yang-Mills theory. As a byproduct, this
consideration gives new insight into the meaning of the gauge invariance and
the observables, e.g., a gauge-invariant mass term and vacuum condensates of
mass dimension two. We point out the implications for the Skyrme--Faddeev
model.
|
[
{
"created": "Tue, 12 Apr 2005 16:13:29 GMT",
"version": "v1"
},
{
"created": "Fri, 27 May 2005 14:56:45 GMT",
"version": "v2"
},
{
"created": "Fri, 4 Nov 2005 09:16:53 GMT",
"version": "v3"
},
{
"created": "Mon, 3 Apr 2006 15:17:56 GMT",
"version": "v4"
}
] |
2009-11-11
|
[
[
"Kondo",
"K. -I.",
"",
"Chiba Univ."
],
[
"Murakami",
"T.",
"",
"Chiba Univ."
],
[
"Shinohara",
"T.",
"",
"Chiba Univ."
]
] |
We give a new way of looking at the Cho--Faddeev--Niemi (CFN) decomposition of the Yang-Mills theory to answer how the enlarged local gauge symmetry respected by the CFN variables is restricted to obtain another Yang-Mills theory with the same local and global gauge symmetries as the original Yang-Mills theory. This may shed new light on the fundamental issue of the discrepancy between two theories for independent degrees of freedom and the role of the Maximal Abelian gauge in Yang-Mills theory. As a byproduct, this consideration gives new insight into the meaning of the gauge invariance and the observables, e.g., a gauge-invariant mass term and vacuum condensates of mass dimension two. We point out the implications for the Skyrme--Faddeev model.
| 10.232754
| 8.458529
| 9.868488
| 8.363395
| 8.483255
| 8.269735
| 8.911127
| 8.339789
| 8.391562
| 9.69804
| 8.272157
| 8.350412
| 9.087431
| 8.19275
| 8.433714
| 8.457397
| 8.494558
| 8.363833
| 8.261298
| 8.70861
| 8.340333
|
1609.08608
|
Kenji Nishiwaki
|
Tatsuo Kobayashi, Kenji Nishiwaki, Yoshiyuki Tatsuta
|
CP-violating phase on magnetized toroidal orbifolds
|
24 pages, 21 figures, 4 tables (v2, published version from JHEP)
|
JHEP 1704 (2016) 080
|
10.1007/JHEP04(2017)080
|
EPHOU-16-018, KIAS-P16072, WU-HEP-16-19
|
hep-th hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We study the CP-violating phase of the quark sector in the $U(8)$ flavor
model on $T^2/Z_N \, (N=2,3,4,6)$ with non-vanishing magnetic fluxes, where
properties of possible origins of the CP violation are investigated minutely.
In this system, a non-vanishing value is mandatory in the real part of the
complex modulus parameter $\tau$ of the two-dimensional torus. On $T^2$ without
orbifolding, underlying discrete flavor symmetries severely restrict the form
of Yukawa couplings and it is very difficult to reproduce the observed pattern
in the quark sector including the CP-violating phase $\delta_{\rm CP}$. In
cases of multiple Higgs doublets emerging on $T^2/Z_2$, the mass matrices of
the zero-mode fermions can be written in the Gaussian textures by choosing
appropriate configurations of vacuum expectation values of the Higgs fields.
When such Gaussian textures of mass matrices are realized, we show that all of
the quark profiles, which are mass hierarchies among the quarks, quark mixing
angles, and $\delta_{\rm CP}$ can be simultaneously realized.
|
[
{
"created": "Tue, 27 Sep 2016 05:25:56 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Apr 2017 06:34:25 GMT",
"version": "v2"
}
] |
2017-04-18
|
[
[
"Kobayashi",
"Tatsuo",
""
],
[
"Nishiwaki",
"Kenji",
""
],
[
"Tatsuta",
"Yoshiyuki",
""
]
] |
We study the CP-violating phase of the quark sector in the $U(8)$ flavor model on $T^2/Z_N \, (N=2,3,4,6)$ with non-vanishing magnetic fluxes, where properties of possible origins of the CP violation are investigated minutely. In this system, a non-vanishing value is mandatory in the real part of the complex modulus parameter $\tau$ of the two-dimensional torus. On $T^2$ without orbifolding, underlying discrete flavor symmetries severely restrict the form of Yukawa couplings and it is very difficult to reproduce the observed pattern in the quark sector including the CP-violating phase $\delta_{\rm CP}$. In cases of multiple Higgs doublets emerging on $T^2/Z_2$, the mass matrices of the zero-mode fermions can be written in the Gaussian textures by choosing appropriate configurations of vacuum expectation values of the Higgs fields. When such Gaussian textures of mass matrices are realized, we show that all of the quark profiles, which are mass hierarchies among the quarks, quark mixing angles, and $\delta_{\rm CP}$ can be simultaneously realized.
| 8.408028
| 8.398302
| 7.892034
| 7.806217
| 8.36172
| 8.406787
| 8.464871
| 8.516175
| 7.795917
| 8.875006
| 7.60239
| 7.783401
| 7.675881
| 7.681377
| 7.850679
| 7.773371
| 7.938457
| 7.628054
| 7.816907
| 8.038016
| 7.580493
|
hep-th/9804058
|
Alec Matusis
|
Daniel Z. Freedman, Samir D. Mathur, Alec Matusis, Leonardo Rastelli
|
Correlation functions in the CFT(d)/AdS(d+1) correpondence
|
27 pages, LaTex, 1 eps figure, few misprints corrected, references
added
|
Nucl.Phys.B546:96-118,1999
|
10.1016/S0550-3213(99)00053-X
|
MIT-CTP-2727
|
hep-th
| null |
Conformal techniques are applied to the calculation of integrals on AdS(d+1)
space which define correlators of composite operators in the superconformal
field theory on the d-dimensional boundary. The 3-point amplitudes for scalar
fields of arbitrary mass and gauge fields in the AdS supergravity are
calculated explicitly. For 3 gauge fields we compare in detail with the known
conformal structure of the SU(4) flavor current correlator <J_i^a J_j^b J_k^c>
of the N=4, d=4 SU(N) SYM theory. Results agree with the free field
approximation as would be expected from superconformal non-renormalization
theorems. In studying the Ward identity relating <J_i^a O^I O^J> to <O^I O^J>
for (non-marginal) scalar composite operators O^I, we find that there is a
subtlety in obtaining the normalization of <O^I O^J> from the supergravity
action integral.
|
[
{
"created": "Tue, 7 Apr 1998 22:24:43 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Sep 1998 02:34:23 GMT",
"version": "v2"
}
] |
2009-10-08
|
[
[
"Freedman",
"Daniel Z.",
""
],
[
"Mathur",
"Samir D.",
""
],
[
"Matusis",
"Alec",
""
],
[
"Rastelli",
"Leonardo",
""
]
] |
Conformal techniques are applied to the calculation of integrals on AdS(d+1) space which define correlators of composite operators in the superconformal field theory on the d-dimensional boundary. The 3-point amplitudes for scalar fields of arbitrary mass and gauge fields in the AdS supergravity are calculated explicitly. For 3 gauge fields we compare in detail with the known conformal structure of the SU(4) flavor current correlator <J_i^a J_j^b J_k^c> of the N=4, d=4 SU(N) SYM theory. Results agree with the free field approximation as would be expected from superconformal non-renormalization theorems. In studying the Ward identity relating <J_i^a O^I O^J> to <O^I O^J> for (non-marginal) scalar composite operators O^I, we find that there is a subtlety in obtaining the normalization of <O^I O^J> from the supergravity action integral.
| 6.97333
| 6.624376
| 7.413894
| 6.175963
| 6.605075
| 6.344623
| 6.665444
| 6.938577
| 6.500245
| 7.651812
| 6.630807
| 6.219377
| 6.957981
| 6.604036
| 6.488637
| 6.443807
| 6.375559
| 6.465894
| 6.306972
| 7.033931
| 6.425306
|
0708.1368
|
Takeshi Oota
|
Tsuyoshi Houri, Takeshi Oota and Yukinori Yasui
|
Closed conformal Killing-Yano tensor and Kerr-NUT-de Sitter spacetime
uniqueness
|
7 pages, LaTeX
|
Phys.Lett.B656:214-216,2007
|
10.1016/j.physletb.2007.09.034
|
OCU-PHYS 273
|
hep-th
| null |
We study spacetimes with a closed conformal Killing-Yano tensor. It is shown
that the D-dimensional Kerr-NUT-de Sitter spacetime constructed by Chen-Lu-Pope
is the only spacetime admitting a rank-2 closed conformal Killing-Yano tensor
with a certain symmetry.
|
[
{
"created": "Fri, 10 Aug 2007 05:47:50 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Houri",
"Tsuyoshi",
""
],
[
"Oota",
"Takeshi",
""
],
[
"Yasui",
"Yukinori",
""
]
] |
We study spacetimes with a closed conformal Killing-Yano tensor. It is shown that the D-dimensional Kerr-NUT-de Sitter spacetime constructed by Chen-Lu-Pope is the only spacetime admitting a rank-2 closed conformal Killing-Yano tensor with a certain symmetry.
| 7.499321
| 5.939133
| 6.935978
| 6.702393
| 6.141956
| 6.341622
| 6.402652
| 6.178626
| 5.979601
| 8.186972
| 6.588421
| 7.368075
| 6.833775
| 6.882774
| 7.321647
| 6.839921
| 7.033971
| 6.53829
| 7.198626
| 7.260712
| 7.034915
|
hep-th/0105269
|
Philippe Brax
|
Ph. Brax, A. C. Davis
|
On Brane Cosmology and Naked Singularities
|
12 pages
|
Phys.Lett. B513 (2001) 156-162
|
10.1016/S0370-2693(01)00734-1
|
CERN-TH/2001-137, DAMTP-2001-36, T/01-056
|
hep-th
| null |
Brane-world singularities are analysed, emphasizing the case of supergravity
in singular spaces where the singularity puzzle is naturally resolved. These
naked singularities are either time-like or null, corresponding to the finite
or infinite amount of conformal time that massless particles take in order to
reach them. Quantum mechanically we show that the brane-world naked
singularities are inconsistent. Indeed we find that time-like singularities are
not wave-regular, so the time-evolution of wave packets is not uniquely defined
in their vicinity, while null singularities absorb incoming radiation. Finally
we stress that for supergravity in singular spaces there is a topological
obstruction, whereby naked singularities are necessarily screened off by the
second boundary brane.
|
[
{
"created": "Mon, 28 May 2001 10:41:17 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Brax",
"Ph.",
""
],
[
"Davis",
"A. C.",
""
]
] |
Brane-world singularities are analysed, emphasizing the case of supergravity in singular spaces where the singularity puzzle is naturally resolved. These naked singularities are either time-like or null, corresponding to the finite or infinite amount of conformal time that massless particles take in order to reach them. Quantum mechanically we show that the brane-world naked singularities are inconsistent. Indeed we find that time-like singularities are not wave-regular, so the time-evolution of wave packets is not uniquely defined in their vicinity, while null singularities absorb incoming radiation. Finally we stress that for supergravity in singular spaces there is a topological obstruction, whereby naked singularities are necessarily screened off by the second boundary brane.
| 16.925642
| 18.766827
| 17.441011
| 15.81786
| 18.585007
| 18.141972
| 18.667933
| 17.274691
| 17.62154
| 18.183214
| 16.631943
| 16.925337
| 15.99677
| 15.691493
| 16.326447
| 15.574702
| 16.490904
| 16.214811
| 15.960015
| 15.765052
| 15.957146
|
hep-th/0610167
|
Douglas A. Singleton
|
V. D. Ivashchuk, V.N. Melnikov, and D. Singleton
|
Electric S-brane solutions with parallel forms on Ricci-flat factor
space
|
12 pages, no figures, JHEP style
|
Grav.Cosmol.12:314-320,2006
| null | null |
hep-th gr-qc
| null |
In this paper we generalize electric S-brane solutions with maximal number of
branes. Previously for the action containing D-dimensional gravity, a scalar
field and antisymmetric (p+2)-form we found composite, electric S-brane
solutions with all non-zero ``charge'' densities which obeyed self-duality or
anti-self-duality relations. These solutions occurred when D = 4m+1 = 5, 9, 13,
>... and p = 2m-1 = 1, 3, 5, ... Here we generalize these solutions to the case
when the spatial 4m-dimensional submanifold is Ricci-flat rather than simply
Euclidean-flat and the charge density form is a parallel self-dual or
anti-self-dual form of rank 2m. Also generalizations are found for the case
when there is an extra ``internal'' Ricci-flat manifold not covered by the
S-branes. In the case when one allows a phantom scalar field a subset of these
solutions lead to accelerated expansion of this extra spatial factor space not
covered by the S-branes while the other spatial factor space of dimension 4m
contracts. Some of these S-brane solutions also provide specific examples of
solutions of type IIA supergravity.
|
[
{
"created": "Sat, 14 Oct 2006 18:52:00 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Ivashchuk",
"V. D.",
""
],
[
"Melnikov",
"V. N.",
""
],
[
"Singleton",
"D.",
""
]
] |
In this paper we generalize electric S-brane solutions with maximal number of branes. Previously for the action containing D-dimensional gravity, a scalar field and antisymmetric (p+2)-form we found composite, electric S-brane solutions with all non-zero ``charge'' densities which obeyed self-duality or anti-self-duality relations. These solutions occurred when D = 4m+1 = 5, 9, 13, >... and p = 2m-1 = 1, 3, 5, ... Here we generalize these solutions to the case when the spatial 4m-dimensional submanifold is Ricci-flat rather than simply Euclidean-flat and the charge density form is a parallel self-dual or anti-self-dual form of rank 2m. Also generalizations are found for the case when there is an extra ``internal'' Ricci-flat manifold not covered by the S-branes. In the case when one allows a phantom scalar field a subset of these solutions lead to accelerated expansion of this extra spatial factor space not covered by the S-branes while the other spatial factor space of dimension 4m contracts. Some of these S-brane solutions also provide specific examples of solutions of type IIA supergravity.
| 9.789499
| 9.231314
| 9.552677
| 8.720916
| 9.77631
| 9.772653
| 9.50543
| 8.891806
| 9.131994
| 11.969275
| 9.002593
| 9.248559
| 9.35758
| 9.334517
| 9.066136
| 9.468526
| 9.423481
| 9.403202
| 9.372587
| 9.458767
| 9.30778
|
hep-th/0005050
|
Tretyak
|
V.Tretyak and A.Nazarenko
|
Classical relativistic systems of charged particles in the front form of
dynamics and the Liouville equation
|
19 pages, no figures
|
Condensed Matter Phys. 3 (2000) 5-22
| null | null |
hep-th
| null |
Classical relativistic system of point particles coupled with an
electromagnetic field is considered in the three-dimensional representation.
The gauge freedom connected with the chronometrical invariance of the
four-dimensional description is reduced by use of the geometrical concept of
the forms of relativistic dynamics. The remainder gauge degrees of freedom of
the electromagnetic potential are analysed within the framework of Dirac's
constrained Hamiltonian mechanics in the front form of dynamics. The results
are implemented to the problems of relativistic statistical mechanics. Based on
the corresponding Liouville equation the classical partition function of the
system is written down in a gauge-invariant manner and an integration over
field variables is performed.
|
[
{
"created": "Fri, 5 May 2000 07:36:05 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Tretyak",
"V.",
""
],
[
"Nazarenko",
"A.",
""
]
] |
Classical relativistic system of point particles coupled with an electromagnetic field is considered in the three-dimensional representation. The gauge freedom connected with the chronometrical invariance of the four-dimensional description is reduced by use of the geometrical concept of the forms of relativistic dynamics. The remainder gauge degrees of freedom of the electromagnetic potential are analysed within the framework of Dirac's constrained Hamiltonian mechanics in the front form of dynamics. The results are implemented to the problems of relativistic statistical mechanics. Based on the corresponding Liouville equation the classical partition function of the system is written down in a gauge-invariant manner and an integration over field variables is performed.
| 12.267985
| 12.669387
| 11.687043
| 11.78415
| 13.092723
| 12.466019
| 12.396197
| 12.106797
| 11.149619
| 13.157762
| 11.675467
| 11.120378
| 11.575074
| 11.019344
| 11.209984
| 11.198433
| 11.224129
| 11.674376
| 11.169636
| 11.211794
| 11.261478
|
1804.11306
|
Stanislav Srednyak
|
Stan Srednyak
|
Bound state equations in Riemannian geometry
| null | null | null | null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study formulations of bound state (Bethe-Salpeter) equations on arbitrary
Riemannian manifolds. We obtain a hierarchy of equations for multipartice wave
functions. These equations, at each number of particles, depend on certain
choices of combinatorial origin, which together with the metric, define the
equations completely.
|
[
{
"created": "Mon, 30 Apr 2018 16:30:44 GMT",
"version": "v1"
}
] |
2018-05-01
|
[
[
"Srednyak",
"Stan",
""
]
] |
We study formulations of bound state (Bethe-Salpeter) equations on arbitrary Riemannian manifolds. We obtain a hierarchy of equations for multipartice wave functions. These equations, at each number of particles, depend on certain choices of combinatorial origin, which together with the metric, define the equations completely.
| 15.232751
| 14.844751
| 13.20319
| 13.960534
| 14.771078
| 17.24387
| 16.442326
| 13.477406
| 14.078339
| 14.432305
| 14.577127
| 14.321031
| 14.674709
| 13.244311
| 14.029428
| 13.341226
| 13.579247
| 12.790958
| 13.623849
| 14.553474
| 13.416201
|
0804.0613
|
Brenno Carlini Vallilo
|
William D. Linch III, Jock McOrist, Brenno Carlini Vallilo
|
Type IIB Flux Vacua from the String Worldsheet
|
29 pages; added references and fixed typo's
|
JHEP 0809:042,2008
|
10.1088/1126-6708/2008/09/042
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study type IIB string compactifications in the presence of RR and NSNS
fluxes using worldsheet techniques. Vertex operators corresponding to internal
RR and NSNS fluxes are constructed in the hybrid formalism with manifest target
space supersymmetry. In a simple class of examples, we compute various known
physical phenomena such as warping and the generation of a superpotential for
complex structure moduli. The results are in precise agreement with the
supergravity literature.
|
[
{
"created": "Fri, 4 Apr 2008 18:46:41 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Jun 2008 15:03:02 GMT",
"version": "v2"
}
] |
2009-12-04
|
[
[
"Linch",
"William D.",
"III"
],
[
"McOrist",
"Jock",
""
],
[
"Vallilo",
"Brenno Carlini",
""
]
] |
We study type IIB string compactifications in the presence of RR and NSNS fluxes using worldsheet techniques. Vertex operators corresponding to internal RR and NSNS fluxes are constructed in the hybrid formalism with manifest target space supersymmetry. In a simple class of examples, we compute various known physical phenomena such as warping and the generation of a superpotential for complex structure moduli. The results are in precise agreement with the supergravity literature.
| 7.921301
| 6.115654
| 10.517396
| 6.887125
| 6.556872
| 6.208843
| 6.575058
| 6.585493
| 6.648811
| 10.747539
| 6.722257
| 7.160375
| 8.393847
| 7.469165
| 7.157521
| 7.170836
| 7.056017
| 7.258706
| 6.963551
| 8.422523
| 7.086735
|
hep-th/9911152
|
Shin'ichi Nojiri
|
Shin'ichi Nojiri and Sergei D. Odintsov
|
Finite gravitational action for higher derivative and stringy gravities
|
LaTeX file, 21 pages
|
Phys.Rev.D62:064018,2000
|
10.1103/PhysRevD.62.064018
| null |
hep-th
| null |
We generalize the local surface counterterm prescription suggested in
Einstein gravity for higher derivative (HD) and Weyl gravities. Explicitly, the
surface counterterm is found for three- and five-dimensional HD gravities. As a
result, the gravitational action for asymptotically AdS spaces is finite and
gravitational energy-momentum tensor is well-defined. The holographic trace
anomaly for d2 and d4 boundary (gauge) QFT dual to above HD gravity is
calculated from gravitational energy-momentum tensor. The calculation of AdS
black hole mass in HD gravity is presented within above prescrition. The
comparison with the standard prescription (using reference spacetime) is done.
|
[
{
"created": "Fri, 19 Nov 1999 03:50:20 GMT",
"version": "v1"
}
] |
2009-09-17
|
[
[
"Nojiri",
"Shin'ichi",
""
],
[
"Odintsov",
"Sergei D.",
""
]
] |
We generalize the local surface counterterm prescription suggested in Einstein gravity for higher derivative (HD) and Weyl gravities. Explicitly, the surface counterterm is found for three- and five-dimensional HD gravities. As a result, the gravitational action for asymptotically AdS spaces is finite and gravitational energy-momentum tensor is well-defined. The holographic trace anomaly for d2 and d4 boundary (gauge) QFT dual to above HD gravity is calculated from gravitational energy-momentum tensor. The calculation of AdS black hole mass in HD gravity is presented within above prescrition. The comparison with the standard prescription (using reference spacetime) is done.
| 14.455765
| 13.745636
| 15.269371
| 14.019711
| 13.075194
| 14.100752
| 14.320931
| 11.952032
| 13.822461
| 17.515255
| 12.658985
| 13.527965
| 13.959252
| 12.821001
| 13.800849
| 13.550645
| 14.153425
| 13.635209
| 13.386684
| 14.174022
| 12.868948
|
hep-th/0309012
|
R. Loll
|
R. Loll (Spinoza Inst. and U. Utrecht), W. Westra (U. Utrecht)
|
Space-time foam in 2D and the sum over topologies
|
13 pages, 6 Postscript figures; contribution to the proceedings of
the Workshop on Random Geometry, Krakow, May 15-17, 2003
|
Acta Phys.Polon. B34 (2003) 4997-5008
| null |
ITP-UU-03/42, SPIN-2003/26
|
hep-th
| null |
It is well-known that the sum over topologies in quantum gravity is
ill-defined, due to a super-exponential growth of the number of geometries as a
function of the space-time volume, leading to a badly divergent gravitational
path integral. Not even in dimension 2, where a non-perturbative quantum
gravity theory can be constructed explicitly from a (regularized) path
integral, has this problem found a satisfactory solution. -- In the present
work, we extend a previous 2d Lorentzian path integral, regulated in terms of
Lorentzian random triangulations, to include space-times with an arbitrary
number of handles. We show that after the imposition of physically motivated
causality constraints, the combined sum over geometries and topologies is
well-defined and possesses a continuum limit which yields a concrete model of
space-time foam in two dimensions.
|
[
{
"created": "Sun, 31 Aug 2003 17:15:18 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Loll",
"R.",
"",
"Spinoza Inst. and U. Utrecht"
],
[
"Westra",
"W.",
"",
"U. Utrecht"
]
] |
It is well-known that the sum over topologies in quantum gravity is ill-defined, due to a super-exponential growth of the number of geometries as a function of the space-time volume, leading to a badly divergent gravitational path integral. Not even in dimension 2, where a non-perturbative quantum gravity theory can be constructed explicitly from a (regularized) path integral, has this problem found a satisfactory solution. -- In the present work, we extend a previous 2d Lorentzian path integral, regulated in terms of Lorentzian random triangulations, to include space-times with an arbitrary number of handles. We show that after the imposition of physically motivated causality constraints, the combined sum over geometries and topologies is well-defined and possesses a continuum limit which yields a concrete model of space-time foam in two dimensions.
| 7.209849
| 7.654753
| 7.644014
| 7.022623
| 7.745867
| 7.789702
| 7.544672
| 7.435702
| 7.434852
| 8.678928
| 7.207001
| 7.290694
| 7.260089
| 7.123173
| 7.111771
| 6.776402
| 7.231803
| 6.793879
| 7.417375
| 7.284997
| 7.049586
|
hep-th/9603033
| null |
B. S. Acharya (Queen Mary and Westfield College)
|
N=1 Heterotic/M-theory Duality and Joyce Manifolds
|
25 pages, Latex
|
Nucl.Phys. B475 (1996) 579-596
|
10.1016/0550-3213(96)00326-4
|
QMW-Th-96-4
|
hep-th
| null |
We present an ansatz which enables us to construct heterotic/M-theory dual
pairs in four dimensions. It is checked that this ansatz reproduces previous
results and that the massless spectra of the proposed dual pairs agree. The new
dual pairs consist of M-theory compactifications on Joyce manifolds of $G_2$
holonomy and Calabi-Yau compactifications of heterotic strings. These results
are further evidence that M-theory is consistent on orbifolds. Finally, we
interpret these results in terms of M-theory geometries which are K3 fibrations
and heterotic geometries which are conjectured to be $T^3$ fibrations. Even
though the new dual pairs are constructed as non-freely acting orbifolds of
existing dual pairs, the adiabatic argument is apparently not violated.
|
[
{
"created": "Wed, 6 Mar 1996 17:09:57 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Acharya",
"B. S.",
"",
"Queen Mary and Westfield College"
]
] |
We present an ansatz which enables us to construct heterotic/M-theory dual pairs in four dimensions. It is checked that this ansatz reproduces previous results and that the massless spectra of the proposed dual pairs agree. The new dual pairs consist of M-theory compactifications on Joyce manifolds of $G_2$ holonomy and Calabi-Yau compactifications of heterotic strings. These results are further evidence that M-theory is consistent on orbifolds. Finally, we interpret these results in terms of M-theory geometries which are K3 fibrations and heterotic geometries which are conjectured to be $T^3$ fibrations. Even though the new dual pairs are constructed as non-freely acting orbifolds of existing dual pairs, the adiabatic argument is apparently not violated.
| 7.049218
| 6.494353
| 8.173045
| 6.41935
| 7.055078
| 6.693818
| 6.565122
| 6.380356
| 6.435682
| 8.230659
| 6.799439
| 6.492058
| 7.177847
| 6.696886
| 6.806729
| 6.620389
| 6.879147
| 6.664851
| 6.707496
| 7.020539
| 6.645366
|
hep-th/9806175
| null |
Dmitri Sorokin
|
Coupling of M-Branes in M-Theory
|
LaTeX file, 9 pages. Talk given at the Sixth International Symposium
on Particles, Strings and Cosmology (PASCOS 98), Boston, March 22-29, 1998
| null | null |
HUB EP-98/36, DFPB 98/TH/31
|
hep-th
| null |
Coupling of a membrane and a five-brane to the bosonic sector of D=11
supergravity is considered. The five--brane is a dyonic object which carries
both an electric and a magnetic charge of the D=11 three-form gauge field
$A^3$, and it couples not only to $A^3$ but also minimally couples to a
six-form field $A^6$ dual to $A^3$. This implies that the 5-brane should more
naturally couple to a version of D=11 supergravity where both gauge fields are
present in a duality-symmetric fashion. We demonstrate how an action of
duality-symmetric D=11 supergravity looks like, couple it to the five-brane and
then reduce the resulting system to an action, which describes an interaction
of the 5-brane with the standard D=11 supergavity.
|
[
{
"created": "Sat, 20 Jun 1998 12:31:45 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Sorokin",
"Dmitri",
""
]
] |
Coupling of a membrane and a five-brane to the bosonic sector of D=11 supergravity is considered. The five--brane is a dyonic object which carries both an electric and a magnetic charge of the D=11 three-form gauge field $A^3$, and it couples not only to $A^3$ but also minimally couples to a six-form field $A^6$ dual to $A^3$. This implies that the 5-brane should more naturally couple to a version of D=11 supergravity where both gauge fields are present in a duality-symmetric fashion. We demonstrate how an action of duality-symmetric D=11 supergravity looks like, couple it to the five-brane and then reduce the resulting system to an action, which describes an interaction of the 5-brane with the standard D=11 supergavity.
| 7.278843
| 6.614729
| 7.556269
| 6.310984
| 6.408576
| 6.521602
| 6.291061
| 6.695868
| 6.686603
| 8.065742
| 6.53683
| 6.574998
| 7.037103
| 6.687752
| 6.819735
| 6.693286
| 6.388355
| 6.506017
| 6.501159
| 7.182372
| 6.583754
|
hep-th/0701069
|
Wung-Hong Huang
|
Wung-Hong Huang
|
Dual String Description of Wilson Loop in Non-commutative Gauge Theory
|
Latex 12 pages
|
Phys.Lett.B647:519-525,2007; Erratum-ibid.B652:388-389,2007
|
10.1016/j.physletb.2007.02.052 10.1016/j.physletb.2007.07.020
| null |
hep-th
| null |
The Wilson loop in some non-commutative gauge theories is studied by using
the dual string description in which the corresponding string is on the curved
background with B field. For the theory in which a constant B field is turned
on along the brane worldvolume the Wilson loop always shows a Coulomb phase, as
studied in the previous literature. We extend the examination to the theory
with a non-constant B field, which duals to the gauge theory with non-constant
non-commutativity, and re-examine the theory in the presence of a nonzero B
field with one leg along the brane worldvolume and other transverse to it,
which duals to a non-commutative dipole theory. The expectation value of the
Wilson loop is calculated to the lowest order by evaluating the area of the
string worldsheet. The results show that, while the non-commutativity could
modify the Coulomb type potential in IR it may produce a strong repulsive force
between the quark and anti-quark if they are close enough. In particular, we
find that there presents a minimum distance between the quarks and that the
distance is proportional to the value of the non-commutativity, exhibiting the
nature of the non-commutative theory.
|
[
{
"created": "Tue, 9 Jan 2007 14:08:41 GMT",
"version": "v1"
},
{
"created": "Sat, 24 Feb 2007 06:06:27 GMT",
"version": "v2"
}
] |
2007-09-06
|
[
[
"Huang",
"Wung-Hong",
""
]
] |
The Wilson loop in some non-commutative gauge theories is studied by using the dual string description in which the corresponding string is on the curved background with B field. For the theory in which a constant B field is turned on along the brane worldvolume the Wilson loop always shows a Coulomb phase, as studied in the previous literature. We extend the examination to the theory with a non-constant B field, which duals to the gauge theory with non-constant non-commutativity, and re-examine the theory in the presence of a nonzero B field with one leg along the brane worldvolume and other transverse to it, which duals to a non-commutative dipole theory. The expectation value of the Wilson loop is calculated to the lowest order by evaluating the area of the string worldsheet. The results show that, while the non-commutativity could modify the Coulomb type potential in IR it may produce a strong repulsive force between the quark and anti-quark if they are close enough. In particular, we find that there presents a minimum distance between the quarks and that the distance is proportional to the value of the non-commutativity, exhibiting the nature of the non-commutative theory.
| 8.438529
| 7.604384
| 8.631285
| 7.624961
| 8.105427
| 7.817535
| 7.5664
| 7.283564
| 7.470527
| 9.122367
| 7.814308
| 7.760851
| 8.154768
| 7.84375
| 7.752901
| 7.958382
| 8.068277
| 7.851683
| 8.037376
| 8.339049
| 7.868912
|
2302.12812
|
Yuqi Lei
|
Yu-Qi Lei, Xian-Hui Ge
|
Stationary equilibrium of test particles near charged black branes with
the hyperscaling violating factor
|
15pages
|
Phys.Rev.D 107 (2023) 10, 106002
|
10.1103/PhysRevD.107.106002
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explore the upper bound of the Lyapunov exponent for test particles that
maintain equilibrium in the radial direction near the charged black brane with
the hyperscaling violating factor. The influences of black brane parameters
(hyperscaling violation exponent $\theta$ and dynamical exponent $z$) are
investigated. We show that the equilibrium in the radial direction of test
particles can violate the chaos bound. The chaos bound is more easily violated
for the near-extremal charged black branes. When the null energy condition
($T_{\mu\nu}\xi^\mu\xi^\nu \geq 0$) is broken, the bound is also more likely to
be violated. These results indicate that the chaos bound of particle motion is
related to the temperature of the black hole and the null energy condition
(NEC). By considering the zero-temperature and $T_{\mu\nu}\xi^\mu\xi^\nu=0$
cases, we obtain the critical parameters $\theta_c$ and $z_c$ for the violation
of chaos bound. The chaos bound is always satisfied in the range $\theta >
\theta_c$ or $z>z_c$.
|
[
{
"created": "Fri, 24 Feb 2023 18:47:42 GMT",
"version": "v1"
},
{
"created": "Mon, 8 May 2023 08:55:53 GMT",
"version": "v2"
}
] |
2023-05-09
|
[
[
"Lei",
"Yu-Qi",
""
],
[
"Ge",
"Xian-Hui",
""
]
] |
We explore the upper bound of the Lyapunov exponent for test particles that maintain equilibrium in the radial direction near the charged black brane with the hyperscaling violating factor. The influences of black brane parameters (hyperscaling violation exponent $\theta$ and dynamical exponent $z$) are investigated. We show that the equilibrium in the radial direction of test particles can violate the chaos bound. The chaos bound is more easily violated for the near-extremal charged black branes. When the null energy condition ($T_{\mu\nu}\xi^\mu\xi^\nu \geq 0$) is broken, the bound is also more likely to be violated. These results indicate that the chaos bound of particle motion is related to the temperature of the black hole and the null energy condition (NEC). By considering the zero-temperature and $T_{\mu\nu}\xi^\mu\xi^\nu=0$ cases, we obtain the critical parameters $\theta_c$ and $z_c$ for the violation of chaos bound. The chaos bound is always satisfied in the range $\theta > \theta_c$ or $z>z_c$.
| 5.241951
| 4.826735
| 5.229555
| 4.781704
| 5.158016
| 4.879627
| 5.208164
| 4.834109
| 4.989793
| 6.00864
| 5.058678
| 4.930991
| 5.21896
| 4.976713
| 5.073414
| 5.008462
| 4.982482
| 5.036333
| 5.149009
| 5.242613
| 5.181227
|
hep-th/0410148
|
Andrzej Wereszczynski
|
A. Wereszczynski
|
Knotted Configurations with Arbitrary Hopf Index from the Eikonal
Equation
|
31 pages, 21 figures; final version accepted in Eur. Phys. J. C
|
Eur.Phys.J.C42:461-473,2005
|
10.1140/epjc/s2005-02300-4
| null |
hep-th
| null |
The complex eikonal equation in $(3+1)$ dimensions is investigated. It is
shown that this equation generates many multi soliton configurations with
arbitrary value of the Hopf index. In general, these eikonal hopfions do not
have the toroidal symmetry. For example, a hopfion with topology of the trefoil
knot is found. Moreover, we argue that such solitons might be helpful in
construction of approximated analytical knotted solutions of the Faddeev-Niemi
model.
|
[
{
"created": "Wed, 13 Oct 2004 10:10:57 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Jun 2005 09:53:38 GMT",
"version": "v2"
}
] |
2009-01-07
|
[
[
"Wereszczynski",
"A.",
""
]
] |
The complex eikonal equation in $(3+1)$ dimensions is investigated. It is shown that this equation generates many multi soliton configurations with arbitrary value of the Hopf index. In general, these eikonal hopfions do not have the toroidal symmetry. For example, a hopfion with topology of the trefoil knot is found. Moreover, we argue that such solitons might be helpful in construction of approximated analytical knotted solutions of the Faddeev-Niemi model.
| 11.692768
| 10.523825
| 12.732402
| 9.653273
| 10.421365
| 9.379206
| 10.342192
| 10.030034
| 9.596716
| 12.060158
| 10.214913
| 10.439486
| 11.905662
| 11.026356
| 10.433148
| 10.834045
| 10.639078
| 10.400874
| 10.62042
| 11.146256
| 10.675745
|
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