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| perplexity_s6-L-3.1-8B-base
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float64 2.95
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|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/0212129
|
Ufuk Kayserilioglu
|
M. Arik, S. Gun, A. Yildiz
|
Invariance quantum group of the fermionic oscillator
|
7 A4 pages
|
Eur.Phys.J.C27:453-455,2003
|
10.1140/epjc/s2002-01097-x
| null |
hep-th
| null |
The fermionic oscillator defined by the algebraic relations cc^*+c^*c=1 and
c^{2}=0 admits the homogeneous group O(2) as its invariance group. We show
that, the structure of the inhomogeneous invariance group of this oscillator is
a quantum group.
|
[
{
"created": "Wed, 11 Dec 2002 15:38:20 GMT",
"version": "v1"
}
] |
2011-09-13
|
[
[
"Arik",
"M.",
""
],
[
"Gun",
"S.",
""
],
[
"Yildiz",
"A.",
""
]
] |
The fermionic oscillator defined by the algebraic relations cc^*+c^*c=1 and c^{2}=0 admits the homogeneous group O(2) as its invariance group. We show that, the structure of the inhomogeneous invariance group of this oscillator is a quantum group.
| 11.203069
| 11.558367
| 10.885863
| 10.145367
| 12.083038
| 12.21036
| 9.861536
| 11.840608
| 9.757843
| 12.933331
| 9.931604
| 10.523218
| 10.342936
| 9.950489
| 9.6251
| 9.596089
| 9.530881
| 10.375638
| 10.433836
| 10.800042
| 10.031321
|
1712.05011
|
Tim Morris Prof
|
Kevin Falls and Tim R. Morris
|
Conformal anomaly from gauge fields without gauge fixing
|
24 pages
|
Phys. Rev. D 97, 065013 (2018)
|
10.1103/PhysRevD.97.065013
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show how the Weyl anomaly generated by gauge fields, can be computed from
manifestly gauge invariant and diffeomorphism invariant exact renormalization
group equations, without having to fix the gauge at any stage. Regularisation
is provided by covariant higher derivatives and by embedding the Maxwell field
into a spontaneously broken $U(1|1)$ supergauge theory. We first provide a
realisation that leaves behind two versions of the original $U(1)$ gauge field,
and then construct a manifestly $U(1|1)$ supergauge invariant flow equation
which leaves behind only the original Maxwell field in the spontaneously broken
regime.
|
[
{
"created": "Wed, 13 Dec 2017 21:18:49 GMT",
"version": "v1"
}
] |
2018-03-28
|
[
[
"Falls",
"Kevin",
""
],
[
"Morris",
"Tim R.",
""
]
] |
We show how the Weyl anomaly generated by gauge fields, can be computed from manifestly gauge invariant and diffeomorphism invariant exact renormalization group equations, without having to fix the gauge at any stage. Regularisation is provided by covariant higher derivatives and by embedding the Maxwell field into a spontaneously broken $U(1|1)$ supergauge theory. We first provide a realisation that leaves behind two versions of the original $U(1)$ gauge field, and then construct a manifestly $U(1|1)$ supergauge invariant flow equation which leaves behind only the original Maxwell field in the spontaneously broken regime.
| 10.071444
| 8.391725
| 11.47133
| 9.273063
| 9.38091
| 9.569561
| 9.267305
| 8.857338
| 8.482155
| 10.334232
| 8.982973
| 9.152451
| 10.052996
| 9.145947
| 9.16282
| 9.409589
| 8.904879
| 9.31429
| 9.296346
| 9.680338
| 8.933848
|
1601.02203
|
Shin'ichi Nojiri
|
Shin'ichi Nojiri
|
Some solutions for one of the cosmological constant problems
|
LaTeX 9 pages, references are added, the version to appear in
Mod.Phys.Lett.A
| null |
10.1142/S0217732316502138
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose several covariant models which may solve one of the problems in
the cosmological constant. One of the model can be regarded as an extension of
sequestering model. Other models could be regarded as extensions of the
covariant formulation of the unimodular gravity. The contributions to the
vacuum energy from the quantum corrections from the matters are absorbed into a
redefinition of a scalar field and the quantum corrections become irrelevant to
the dynamics. In a class of the extended unimodular gravity models, we also
consider models which are regarded as topological field theories. The models
can be extended and not only the vacuum energy but any quantum corrections to
the gravitational action could become irrelevant for the dynamics. We find,
however, that the BRS symmetry in the topological field theories is broken
spontaneously and therefore the models might not be consistent.
|
[
{
"created": "Sun, 10 Jan 2016 12:06:42 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Jan 2016 12:56:18 GMT",
"version": "v2"
},
{
"created": "Thu, 7 Jul 2016 11:25:44 GMT",
"version": "v3"
},
{
"created": "Sat, 15 Oct 2016 06:46:51 GMT",
"version": "v4"
},
{
"created": "Tue, 8 Nov 2016 04:26:03 GMT",
"version": "v5"
},
{
"created": "Wed, 9 Nov 2016 02:26:04 GMT",
"version": "v6"
}
] |
2016-11-10
|
[
[
"Nojiri",
"Shin'ichi",
""
]
] |
We propose several covariant models which may solve one of the problems in the cosmological constant. One of the model can be regarded as an extension of sequestering model. Other models could be regarded as extensions of the covariant formulation of the unimodular gravity. The contributions to the vacuum energy from the quantum corrections from the matters are absorbed into a redefinition of a scalar field and the quantum corrections become irrelevant to the dynamics. In a class of the extended unimodular gravity models, we also consider models which are regarded as topological field theories. The models can be extended and not only the vacuum energy but any quantum corrections to the gravitational action could become irrelevant for the dynamics. We find, however, that the BRS symmetry in the topological field theories is broken spontaneously and therefore the models might not be consistent.
| 9.680487
| 9.410944
| 9.962931
| 8.815055
| 9.180972
| 9.278689
| 10.035013
| 8.64683
| 9.058498
| 10.561962
| 9.325689
| 9.17039
| 9.484787
| 9.093816
| 9.034253
| 8.983144
| 9.116827
| 9.261187
| 9.012147
| 9.300764
| 9.192985
|
0804.3062
|
Nikolaos Prezas
|
Nikolaos Prezas and Konstadinos Sfetsos
|
Supersymmetric moduli of the SU(2) x R linear dilaton background and
NS5-branes
|
38 pages, 1 figure, 1 table; version to appear in JHEP
|
JHEP 0806:080,2008
|
10.1088/1126-6708/2008/06/080
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study several classes of marginal deformations of the conformal field
theory SU(2) x R. This theory describes the near-horizon region of a stack of
parallel and coincident NS5-branes and is related holographically to little
string theory. We investigate the supersymmetry properties of these
deformations and we elucidate their role in the context of holography. The
conformal field theory moduli space contains "non-holographic" operators that
do not seem to have a simple interpretation in little string theory.
Subsequently, we analyze several NS5-brane configurations in terms of SU(2) x R
deformations. We discuss in detail interesting phenomena, like the excision of
the strong coupling region associated with the linear dilaton and the
manifestation of the symmetries of an NS5-brane setup in the deforming
operators. Finally, we present a class of conformally hyperkaehler geometries
that arise as "non-holographic" deformations of SU(2) x R.
|
[
{
"created": "Fri, 18 Apr 2008 17:11:08 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Jun 2008 16:09:25 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Prezas",
"Nikolaos",
""
],
[
"Sfetsos",
"Konstadinos",
""
]
] |
We study several classes of marginal deformations of the conformal field theory SU(2) x R. This theory describes the near-horizon region of a stack of parallel and coincident NS5-branes and is related holographically to little string theory. We investigate the supersymmetry properties of these deformations and we elucidate their role in the context of holography. The conformal field theory moduli space contains "non-holographic" operators that do not seem to have a simple interpretation in little string theory. Subsequently, we analyze several NS5-brane configurations in terms of SU(2) x R deformations. We discuss in detail interesting phenomena, like the excision of the strong coupling region associated with the linear dilaton and the manifestation of the symmetries of an NS5-brane setup in the deforming operators. Finally, we present a class of conformally hyperkaehler geometries that arise as "non-holographic" deformations of SU(2) x R.
| 8.291531
| 8.173349
| 8.917791
| 7.753792
| 8.174592
| 8.477297
| 8.040316
| 7.781315
| 7.672709
| 9.457067
| 7.809337
| 7.827
| 8.395725
| 8.05178
| 8.313643
| 8.096051
| 8.039
| 7.934947
| 7.916812
| 8.271401
| 7.873951
|
1307.2816
|
Dmitri Bykov
|
Dmitri Bykov
|
The K\"ahler metric of a blow-up
|
38 pages, 3 figures
| null | null |
NORDITA-2013-46
|
hep-th gr-qc math.DG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
After a review of the general properties of holomorphic spheres in complex
surfaces we describe the local geometry in the vicinity of a CP^1 embedded with
a negative normal bundle. As a by-product, we build (asymptotically locally
hyperbolic) Kahler-Einstein metrics on the total spaces of the line bundles
O(-m), m >= 3 over CP^1. We check that the behavior of the Kahler potential is
compatible with the Chern-Weil formulas for the Euler characteristic and
signature. We also describe two supersymmetric setups where relevant
constructions arise.
|
[
{
"created": "Wed, 10 Jul 2013 15:00:56 GMT",
"version": "v1"
}
] |
2013-07-11
|
[
[
"Bykov",
"Dmitri",
""
]
] |
After a review of the general properties of holomorphic spheres in complex surfaces we describe the local geometry in the vicinity of a CP^1 embedded with a negative normal bundle. As a by-product, we build (asymptotically locally hyperbolic) Kahler-Einstein metrics on the total spaces of the line bundles O(-m), m >= 3 over CP^1. We check that the behavior of the Kahler potential is compatible with the Chern-Weil formulas for the Euler characteristic and signature. We also describe two supersymmetric setups where relevant constructions arise.
| 11.42825
| 11.977937
| 12.344102
| 10.815569
| 9.87684
| 11.524693
| 10.393782
| 11.089204
| 11.318322
| 15.006296
| 10.440561
| 10.516054
| 11.276729
| 10.423489
| 9.887142
| 10.210818
| 10.380696
| 10.722873
| 10.499198
| 11.200479
| 10.259877
|
2310.07457
|
Nabin Bhatta
|
Nabin Bhatta, Djordje Minic, Tatsu Takeuchi
|
Constraints on a Generalization of Geometric Quantum Mechanics from
Neutrino and $B^0$-$\overline{B^0}$ Oscillations
|
32 pages, 11 figures
|
JHEP 02 (2024) 031
|
10.1007/JHEP02(2024)031
| null |
hep-th hep-ph quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Nambu Quantum Mechanics, proposed in Phys. Lett. B536, 305 (2002), is a
deformation of canonical Quantum Mechanics in which the manifold over which the
"phase" of an energy eigenstate time evolves is modified. This generalization
affects oscillation and interference phenomena through the introduction of two
deformation parameters that quantify the extent of deviation from canonical
Quantum Mechanics. In this paper, we constrain these parameters utilizing
atmospheric neutrino oscillation data, and $B^0$-$\overline{B^0}$ oscillation
data from Belle. Surprisingly, the bound from atmospheric neutrinos is stronger
than the bound from Belle. Various features of Nambu Quantum Mechanics are also
discussed.
|
[
{
"created": "Wed, 11 Oct 2023 13:03:10 GMT",
"version": "v1"
}
] |
2024-05-02
|
[
[
"Bhatta",
"Nabin",
""
],
[
"Minic",
"Djordje",
""
],
[
"Takeuchi",
"Tatsu",
""
]
] |
Nambu Quantum Mechanics, proposed in Phys. Lett. B536, 305 (2002), is a deformation of canonical Quantum Mechanics in which the manifold over which the "phase" of an energy eigenstate time evolves is modified. This generalization affects oscillation and interference phenomena through the introduction of two deformation parameters that quantify the extent of deviation from canonical Quantum Mechanics. In this paper, we constrain these parameters utilizing atmospheric neutrino oscillation data, and $B^0$-$\overline{B^0}$ oscillation data from Belle. Surprisingly, the bound from atmospheric neutrinos is stronger than the bound from Belle. Various features of Nambu Quantum Mechanics are also discussed.
| 10.515047
| 10.006334
| 8.79773
| 8.402085
| 10.92244
| 11.62648
| 11.046835
| 9.806822
| 9.118847
| 8.974932
| 10.185765
| 9.561093
| 8.96979
| 9.062378
| 9.528343
| 9.344498
| 8.942208
| 9.027893
| 9.428082
| 9.286626
| 9.83736
|
0808.2650
|
Carlos Alfonso Martin Ballon Bayona
|
C. A. Ballon Bayona, Nelson R. F. Braga, Rafael D'Andrea
|
T-duality for open strings in the presence of backgrounds and
noncommutativity
|
In this V3: more references included. Version to appear in J.Phys.A
|
J.Phys.A42:315201,2009
|
10.1088/1751-8113/42/31/315201
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the effect of T-duality on noncommutativity. Starting with
open strings ending on a D2-brane wrapped on a $T^2$ torus in the presence of a
Kalb Ramond field, we consider Buscher transformations on the coordinates and
background. We find that the dual system is commutative. We also study
alternative transformations that can preserve noncommutativity.
|
[
{
"created": "Tue, 19 Aug 2008 20:15:54 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Nov 2008 19:22:06 GMT",
"version": "v2"
},
{
"created": "Wed, 1 Jul 2009 20:37:02 GMT",
"version": "v3"
}
] |
2010-05-28
|
[
[
"Bayona",
"C. A. Ballon",
""
],
[
"Braga",
"Nelson R. F.",
""
],
[
"D'Andrea",
"Rafael",
""
]
] |
We investigate the effect of T-duality on noncommutativity. Starting with open strings ending on a D2-brane wrapped on a $T^2$ torus in the presence of a Kalb Ramond field, we consider Buscher transformations on the coordinates and background. We find that the dual system is commutative. We also study alternative transformations that can preserve noncommutativity.
| 8.679778
| 6.631927
| 9.879892
| 7.162725
| 7.316711
| 7.010613
| 6.999732
| 7.402113
| 6.543715
| 9.342952
| 6.610729
| 7.605876
| 8.210506
| 7.576097
| 7.509115
| 7.479866
| 7.504825
| 7.510989
| 7.426107
| 8.435419
| 7.286664
|
hep-th/0001019
|
Israel Klich
|
I. Klich, J. Feinberg, A. Mann and M. Revzen
|
Casimir energy of a dilute dielectric ball with uniform velocity of
light at finite temperature
|
15 pages, 1 figure
|
Phys.Rev. D62 (2000) 045017
|
10.1103/PhysRevD.62.045017
| null |
hep-th cond-mat.stat-mech quant-ph
| null |
The Casimir energy, free energy and Casimir force are evaluated, at arbitrary
finite temperature, for a dilute dielectric ball with uniform velocity of light
inside the ball and in the surrounding medium. In particular, we investigate
the classical limit at high temperature. The Casimir force found is repulsive,
as in previous calculations.
|
[
{
"created": "Wed, 5 Jan 2000 17:24:23 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Jan 2000 21:44:19 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Klich",
"I.",
""
],
[
"Feinberg",
"J.",
""
],
[
"Mann",
"A.",
""
],
[
"Revzen",
"M.",
""
]
] |
The Casimir energy, free energy and Casimir force are evaluated, at arbitrary finite temperature, for a dilute dielectric ball with uniform velocity of light inside the ball and in the surrounding medium. In particular, we investigate the classical limit at high temperature. The Casimir force found is repulsive, as in previous calculations.
| 13.223878
| 9.261673
| 13.600075
| 9.528261
| 8.441839
| 9.255002
| 8.417643
| 8.663791
| 9.245774
| 14.915316
| 9.754083
| 10.087764
| 12.884273
| 10.95453
| 10.653519
| 9.947688
| 10.238555
| 10.451712
| 11.184718
| 12.23061
| 10.856665
|
hep-th/9205062
| null |
Supriya K. Kar, S. Pratik Khastgir and Gautam Sengupta
|
Four Dimensional Stringy Black Membrane
|
13 pages
|
Phys.Rev. D47 (1993) 3643-3646
|
10.1103/PhysRevD.47.3643
|
IP/BBSR/92-35
|
hep-th
| null |
An exact conformal field theory describing a four dimensional singular string
background is obtained by chiral gauging a $U(1)$ subgroup along with
translations in $R$ of an $SL(2,R)\times R$ Wess-Zumino-Witten model. It is
shown that the target space-time describes a four dimensional black membrane.
Furthermore various duality transformed solutions are constructed. These are
also shown to correspond to various forms of four dimensional black membranes.
|
[
{
"created": "Mon, 18 May 1992 15:53:17 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Kar",
"Supriya K.",
""
],
[
"Khastgir",
"S. Pratik",
""
],
[
"Sengupta",
"Gautam",
""
]
] |
An exact conformal field theory describing a four dimensional singular string background is obtained by chiral gauging a $U(1)$ subgroup along with translations in $R$ of an $SL(2,R)\times R$ Wess-Zumino-Witten model. It is shown that the target space-time describes a four dimensional black membrane. Furthermore various duality transformed solutions are constructed. These are also shown to correspond to various forms of four dimensional black membranes.
| 13.279987
| 9.765319
| 12.510788
| 9.696685
| 10.665164
| 10.44777
| 10.434811
| 9.034239
| 9.345428
| 14.286403
| 9.990102
| 10.574689
| 11.396646
| 9.758759
| 10.42996
| 10.015149
| 10.204524
| 10.230654
| 10.305401
| 10.991866
| 10.276037
|
hep-th/0312098
|
David Kutasov
|
D. Kutasov
|
New Results on the "$a$-theorem" in Four Dimensional Supersymmetric
Field Theory
|
28 pages; harvmac
| null | null | null |
hep-th
| null |
In four dimensional N=1 supersymmetric field theory it is often the case that
the $U(1)_R$ current that becomes part of the superconformal algebra at the
infrared fixed point is conserved throughout the renormalization group (RG)
flow. We show that when that happens, the central charge $a$ decreases under RG
flow. The main tool we employ is an extension of recent ideas on
``$a$-maximization'' away from fixed points of the RG. This extension is useful
more generally in studying RG flows in supersymmetric theories.
|
[
{
"created": "Tue, 9 Dec 2003 21:23:40 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Kutasov",
"D.",
""
]
] |
In four dimensional N=1 supersymmetric field theory it is often the case that the $U(1)_R$ current that becomes part of the superconformal algebra at the infrared fixed point is conserved throughout the renormalization group (RG) flow. We show that when that happens, the central charge $a$ decreases under RG flow. The main tool we employ is an extension of recent ideas on ``$a$-maximization'' away from fixed points of the RG. This extension is useful more generally in studying RG flows in supersymmetric theories.
| 7.264158
| 6.966465
| 7.526465
| 6.184306
| 6.118087
| 6.468096
| 6.249444
| 6.444046
| 6.56921
| 7.655935
| 6.304496
| 6.34367
| 6.865614
| 6.583194
| 6.260677
| 6.233546
| 6.39767
| 6.386532
| 6.472538
| 6.964129
| 6.376522
|
2404.03959
|
Stam Nicolis
|
Stam Nicolis
|
Flavor and Fluctuations
|
7 pages LaTeX, uses pos.sty and JHEP.bst. Contribution to the Corfu
Summer Institute 2023,"School and Workshops on Elementary Particle Physics
and Gravity" (CORFU2023)
| null | null | null |
hep-th cond-mat.stat-mech hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Parisi-Sourlas approach to supersymmetry implies that, in spacetime
dimensions greater than 1, there is a constraint on the minimal number of
flavors, in order for a field theory to define a closed system. In particular,
this number is greater than 1. This does not preclude that supersymmetry can be
broken, however, and the known ways of breaking supersymmetry can be taken into
account from this point of view, by using the so-called Nicolai map. This
procedure is well-defined for abelian gauge theories and corresponds to the
construction of the so-called trivializing maps for non-abelian gauge theories,
that is, still, work in progress.
|
[
{
"created": "Fri, 5 Apr 2024 08:49:57 GMT",
"version": "v1"
}
] |
2024-04-08
|
[
[
"Nicolis",
"Stam",
""
]
] |
The Parisi-Sourlas approach to supersymmetry implies that, in spacetime dimensions greater than 1, there is a constraint on the minimal number of flavors, in order for a field theory to define a closed system. In particular, this number is greater than 1. This does not preclude that supersymmetry can be broken, however, and the known ways of breaking supersymmetry can be taken into account from this point of view, by using the so-called Nicolai map. This procedure is well-defined for abelian gauge theories and corresponds to the construction of the so-called trivializing maps for non-abelian gauge theories, that is, still, work in progress.
| 10.728501
| 11.508307
| 11.614548
| 10.17067
| 10.396017
| 10.822217
| 11.118695
| 10.507155
| 10.040494
| 11.621142
| 10.593342
| 10.061358
| 9.959841
| 9.699845
| 9.875793
| 9.688972
| 9.521713
| 9.796917
| 9.918374
| 10.002468
| 10.189315
|
2104.02833
|
Roldao da Rocha
|
A. J. Ferreira-Martins, R. da Rocha
|
Generalized Navier-Stokes equations and soft hairy horizons in
fluid/gravity correspondence
|
21 pages
|
Nucl. Phys. B 973 (2021) 115603
|
10.1016/j.nuclphysb.2021.115603
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The fluid/gravity correspondence establishes how gravitational dynamics, as
dictated by Einstein's field equations, are related to the fluid dynamics,
governed by the relativistic Navier-Stokes equations. In this work the
correspondence is extended, where the duality between incompressible fluids and
gravitational backgrounds with soft hair excitations is implemented. This
construction is set through appropriate boundary conditions to the
gravitational background, leading to a correspondence between generalized
incompressible Navier-Stokes equations and soft hairy horizons.
|
[
{
"created": "Wed, 7 Apr 2021 00:15:32 GMT",
"version": "v1"
},
{
"created": "Sun, 7 Nov 2021 17:40:05 GMT",
"version": "v2"
}
] |
2021-11-09
|
[
[
"Ferreira-Martins",
"A. J.",
""
],
[
"da Rocha",
"R.",
""
]
] |
The fluid/gravity correspondence establishes how gravitational dynamics, as dictated by Einstein's field equations, are related to the fluid dynamics, governed by the relativistic Navier-Stokes equations. In this work the correspondence is extended, where the duality between incompressible fluids and gravitational backgrounds with soft hair excitations is implemented. This construction is set through appropriate boundary conditions to the gravitational background, leading to a correspondence between generalized incompressible Navier-Stokes equations and soft hairy horizons.
| 10.623077
| 9.273614
| 10.883208
| 8.762698
| 9.90064
| 8.936172
| 9.978912
| 10.047903
| 8.939737
| 10.540036
| 10.095984
| 9.843529
| 10.466873
| 9.634045
| 9.863558
| 9.704012
| 9.950878
| 9.900631
| 9.90901
| 10.036153
| 9.514599
|
1905.02416
|
Dmitriy Pavshinkin
|
D. Pavshinkin
|
Grassmannian and Flag sigma models on interval: phase structure and
L-dependence
|
13 pages, 1 figure. The generalization of the previous results to
periodic, periodic twisted and unmixed DD, NN boundaries is discussed in
Conclusion
|
J. High Energ. Phys. 2019, 75 (2019)
|
10.1007/JHEP12(2019)075
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss the two-dimensional Grassmannian $SU(N)/S(U(N-2)\times U(2))$ and
the flag $SU(N)/S(U(N-2)\times U(1)\times U(1))$ sigma models on a finite
interval and construct analytical solutions of gap equations in the large N
limit. We show that the flag model admits a homogeneous solution for `mixed'
Dirichlet-Neumann (DN) boundary conditions only for sufficiently large length
$L$ and undergoes a phase transition from the phase of partly broken gauge
symmetry ($U(1)$) to the symmetric phase ($U(1)\times U(1)$) for large $L$. On
the other hand, the Grassmannian model has a detached phase with one massive
and one massless non-zero condensates that completely break $U(2)$ gauge
symmetry. This phase lives on a region of $L$ bounded from above and has to use
the Robin boundary conditions. We also examine the L-dependence of the total
energy and detect the linear growth inherent to confining string in all phases.
|
[
{
"created": "Tue, 7 May 2019 08:56:47 GMT",
"version": "v1"
},
{
"created": "Wed, 8 May 2019 16:01:03 GMT",
"version": "v2"
},
{
"created": "Sat, 17 Aug 2019 11:09:03 GMT",
"version": "v3"
}
] |
2019-12-17
|
[
[
"Pavshinkin",
"D.",
""
]
] |
We discuss the two-dimensional Grassmannian $SU(N)/S(U(N-2)\times U(2))$ and the flag $SU(N)/S(U(N-2)\times U(1)\times U(1))$ sigma models on a finite interval and construct analytical solutions of gap equations in the large N limit. We show that the flag model admits a homogeneous solution for `mixed' Dirichlet-Neumann (DN) boundary conditions only for sufficiently large length $L$ and undergoes a phase transition from the phase of partly broken gauge symmetry ($U(1)$) to the symmetric phase ($U(1)\times U(1)$) for large $L$. On the other hand, the Grassmannian model has a detached phase with one massive and one massless non-zero condensates that completely break $U(2)$ gauge symmetry. This phase lives on a region of $L$ bounded from above and has to use the Robin boundary conditions. We also examine the L-dependence of the total energy and detect the linear growth inherent to confining string in all phases.
| 8.845781
| 9.172684
| 9.839461
| 8.913335
| 8.866546
| 9.43146
| 8.774024
| 8.733159
| 8.272321
| 9.855666
| 8.603454
| 8.429733
| 8.955355
| 8.40867
| 8.356407
| 8.460208
| 8.620078
| 8.27692
| 8.430871
| 8.880525
| 8.328012
|
1905.10800
|
Mohammad R. Garousi
|
Mohammad R. Garousi, Hamid Razaghian
|
Minimal independent couplings at order $\alpha'^2$
|
17 pages, Latex file, no figure
|
Phys. Rev. D 100, 106007 (2019)
|
10.1103/PhysRevD.100.106007
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using field redefinitions and Bianchi identities on the general form of the
effective action for metric, $B$-field and dilaton, we have found that the
minimum number of independent couplings at order $\alpha'^2$ is 60. We write
these couplings in two different schemes in the string frame. In the first
scheme, each coupling does not include terms with more than two derivatives and
it does not include structures $R,\,R_{\mu\nu},\,\nabla_\mu
H^{\mu\alpha\beta}$, $ \nabla_\mu\nabla^\mu\Phi$. In this scheme, 20 couplings
which are the minimum number of couplings for metric and $B$-field, include
dilaton trivially as the overall factor of $e^{-2\Phi}$, and all other
couplings include derivatives of dilaton. In the second scheme, the dilaton
appears in all 60 coupling only as the overall factor of $e^{-2\Phi}$. In this
scheme, 20 of the couplings are exactly the same as those in the previous
scheme.
|
[
{
"created": "Sun, 26 May 2019 13:05:13 GMT",
"version": "v1"
}
] |
2019-11-20
|
[
[
"Garousi",
"Mohammad R.",
""
],
[
"Razaghian",
"Hamid",
""
]
] |
Using field redefinitions and Bianchi identities on the general form of the effective action for metric, $B$-field and dilaton, we have found that the minimum number of independent couplings at order $\alpha'^2$ is 60. We write these couplings in two different schemes in the string frame. In the first scheme, each coupling does not include terms with more than two derivatives and it does not include structures $R,\,R_{\mu\nu},\,\nabla_\mu H^{\mu\alpha\beta}$, $ \nabla_\mu\nabla^\mu\Phi$. In this scheme, 20 couplings which are the minimum number of couplings for metric and $B$-field, include dilaton trivially as the overall factor of $e^{-2\Phi}$, and all other couplings include derivatives of dilaton. In the second scheme, the dilaton appears in all 60 coupling only as the overall factor of $e^{-2\Phi}$. In this scheme, 20 of the couplings are exactly the same as those in the previous scheme.
| 5.920583
| 5.045753
| 6.051306
| 5.384084
| 5.410748
| 5.445373
| 5.17007
| 5.04476
| 5.030647
| 6.286309
| 5.316326
| 5.528096
| 5.725787
| 5.411257
| 5.48025
| 5.377786
| 5.553292
| 5.381325
| 5.485882
| 5.703036
| 5.549085
|
0708.4077
|
Yi Wang
|
Miao Li, Yi Wang
|
Typicality, Freak Observers and the Anthropic Principle of Existence
|
12 pages, 2 figures
| null | null | null |
hep-th astro-ph gr-qc
| null |
We propose an alternative anthropic probability for calculating the
probabilities in eternal inflation. This anthropic probability follows
naturally from the weak anthropic principle, and does not suffer the freak
observer or the typicality problems. The problem that our observed cosmological
constant is not at the peak of the usual anthropic probability distribution is
also solved using this proposal.
|
[
{
"created": "Thu, 30 Aug 2007 07:41:33 GMT",
"version": "v1"
}
] |
2007-08-31
|
[
[
"Li",
"Miao",
""
],
[
"Wang",
"Yi",
""
]
] |
We propose an alternative anthropic probability for calculating the probabilities in eternal inflation. This anthropic probability follows naturally from the weak anthropic principle, and does not suffer the freak observer or the typicality problems. The problem that our observed cosmological constant is not at the peak of the usual anthropic probability distribution is also solved using this proposal.
| 14.221232
| 14.246427
| 15.461931
| 12.663223
| 13.299309
| 14.49017
| 13.762855
| 14.808794
| 13.175783
| 15.671229
| 13.938244
| 13.522421
| 13.956141
| 13.874924
| 13.654696
| 14.608404
| 13.961701
| 14.305517
| 13.599244
| 14.687713
| 13.211405
|
hep-th/9203083
|
Jim Horne
|
James H. Horne and Gary T. Horowitz
|
Rotating Dilaton Black Holes
|
14 pages
|
Phys.Rev.D46:1340-1346,1992
|
10.1103/PhysRevD.46.1340
| null |
hep-th
| null |
It is shown that an arbitrarily small amount of angular momentum can
qualitatively change the properties of extremal charged black holes coupled to
a dilaton. In addition, the gyromagnetic ratio of these black holes is computed
and an exact rotating black string solution is presented.
|
[
{
"created": "Mon, 30 Mar 1992 17:14:10 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Apr 1992 22:53:08 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Horne",
"James H.",
""
],
[
"Horowitz",
"Gary T.",
""
]
] |
It is shown that an arbitrarily small amount of angular momentum can qualitatively change the properties of extremal charged black holes coupled to a dilaton. In addition, the gyromagnetic ratio of these black holes is computed and an exact rotating black string solution is presented.
| 9.596044
| 7.572543
| 6.267278
| 7.025283
| 7.498728
| 6.448622
| 8.36892
| 6.206402
| 8.073208
| 6.690925
| 7.615421
| 7.540505
| 7.521577
| 7.548236
| 7.497832
| 7.512442
| 7.475199
| 7.053671
| 7.675632
| 7.535745
| 7.850412
|
2110.15256
|
Pulkit Agarwal
|
Pulkit Agarwal, Richard C. Brower, Timothy G. Raben and Chung-I Tan
|
Application of Lorentzian CFT Principal Series Representation to Near
Forward Scattering
| null | null | null | null |
hep-th hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We present a discussion on recent progress in high energy diffraction from
the perspective of AdS/CFT, through which a unified treatment for both
perturbative and nonperturbative Pomeron emerges. By working with Unitary
Irreducible Representation of Conformal group, a frame is provided in extending
AdS/CFT to both forward and nearforward scattering. We present an analysis
involving an exact solution to conformal blocks in Minkowski CFT and discuss
possible applications. Phenomenological applications can range from forward
scattering to DIS/DVCS/TMD at LHC energies and beyond.
|
[
{
"created": "Thu, 28 Oct 2021 16:14:07 GMT",
"version": "v1"
}
] |
2021-10-29
|
[
[
"Agarwal",
"Pulkit",
""
],
[
"Brower",
"Richard C.",
""
],
[
"Raben",
"Timothy G.",
""
],
[
"Tan",
"Chung-I",
""
]
] |
We present a discussion on recent progress in high energy diffraction from the perspective of AdS/CFT, through which a unified treatment for both perturbative and nonperturbative Pomeron emerges. By working with Unitary Irreducible Representation of Conformal group, a frame is provided in extending AdS/CFT to both forward and nearforward scattering. We present an analysis involving an exact solution to conformal blocks in Minkowski CFT and discuss possible applications. Phenomenological applications can range from forward scattering to DIS/DVCS/TMD at LHC energies and beyond.
| 18.228539
| 22.071594
| 18.742041
| 16.895102
| 18.924297
| 20.879391
| 22.366364
| 19.57637
| 17.409012
| 18.334856
| 19.533632
| 18.406464
| 18.291229
| 17.214996
| 17.101019
| 18.527233
| 17.258623
| 17.662546
| 17.473778
| 18.468687
| 18.163967
|
2401.01617
|
Tinglong Feng
|
Tinglong Feng
|
Holographic Approach to Neutron Stars
|
10 pages, 3 figures
| null | null | null |
hep-th astro-ph.HE
|
http://creativecommons.org/licenses/by/4.0/
|
In this article we explore the holographic approach to neutron stars in the
realm of Quantum Field Theory (QFT). We delve into the structures of neutron
stars, emphasizing the application of the AdS/CFT duality in modeling them. We
discuss both "bottom-up" and "top-down" holographic models, comparing their
predictions with astrophysical observations. Finally, we demonstrate the
potential broader applications of the holography method in areas like
superconductivity, highlighting the methodological significance of string
theory and QFT in astrophysics.
|
[
{
"created": "Wed, 3 Jan 2024 08:38:29 GMT",
"version": "v1"
}
] |
2024-01-04
|
[
[
"Feng",
"Tinglong",
""
]
] |
In this article we explore the holographic approach to neutron stars in the realm of Quantum Field Theory (QFT). We delve into the structures of neutron stars, emphasizing the application of the AdS/CFT duality in modeling them. We discuss both "bottom-up" and "top-down" holographic models, comparing their predictions with astrophysical observations. Finally, we demonstrate the potential broader applications of the holography method in areas like superconductivity, highlighting the methodological significance of string theory and QFT in astrophysics.
| 9.51929
| 8.717731
| 8.005701
| 8.283047
| 9.156661
| 8.440811
| 8.57355
| 8.778613
| 8.108413
| 8.799182
| 7.669928
| 8.942273
| 8.547224
| 8.484928
| 8.432205
| 8.260519
| 8.41022
| 8.099285
| 8.271395
| 8.304136
| 8.218523
|
hep-th/9805194
|
Liu Qing-Jun
|
Jun-Chen Su
|
Massive Gauge Field Theory Without Higgs Mechanism IV. Illustration of
Unitarsity
|
30 pages, latex, 9 figures
| null | null | null |
hep-th
| null |
To illustrate the unitarity of the massive gauge field theory described in
the foregoing papers, we calculate the scattering amplitudes up to the fourth
order of perturbation by the optical theorem and the Landau-Cutkosky rule. In
the calculations, it is shown that for a given process, if all the diagrams are
taken into account, the contributions arising from the unphysical intermediate
states included in the longitudinal part of the gauge boson propagator and in
the ghost particle propagator are completely cancelled out with each other in
the S-matrix elements. Therefore, the unitarity of the S-matrix is perfectly
ensured.
|
[
{
"created": "Thu, 28 May 1998 02:31:15 GMT",
"version": "v1"
},
{
"created": "Sat, 23 Jan 1999 08:35:54 GMT",
"version": "v2"
},
{
"created": "Mon, 8 Mar 1999 02:57:00 GMT",
"version": "v3"
},
{
"created": "Tue, 29 Nov 2005 10:31:03 GMT",
"version": "v4"
}
] |
2007-05-23
|
[
[
"Su",
"Jun-Chen",
""
]
] |
To illustrate the unitarity of the massive gauge field theory described in the foregoing papers, we calculate the scattering amplitudes up to the fourth order of perturbation by the optical theorem and the Landau-Cutkosky rule. In the calculations, it is shown that for a given process, if all the diagrams are taken into account, the contributions arising from the unphysical intermediate states included in the longitudinal part of the gauge boson propagator and in the ghost particle propagator are completely cancelled out with each other in the S-matrix elements. Therefore, the unitarity of the S-matrix is perfectly ensured.
| 7.703494
| 7.915761
| 8.288237
| 7.824496
| 7.68535
| 7.590016
| 7.568587
| 7.176459
| 7.44971
| 8.243577
| 7.471596
| 7.287766
| 7.278334
| 7.109976
| 7.278006
| 7.400807
| 7.151541
| 7.315804
| 7.189744
| 7.31151
| 7.271328
|
0803.4273
|
Toby Wiseman
|
Simon Catterall and Toby Wiseman
|
Black hole thermodynamics from simulations of lattice Yang-Mills theory
|
4 pages, 4 figures
|
Phys.Rev.D78:041502,2008
|
10.1103/PhysRevD.78.041502
| null |
hep-th gr-qc hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We report on lattice simulations of 16 supercharge SU(N) Yang-Mills quantum
mechanics in the 't Hooft limit. Maldacena duality conjectures that in this
limit the theory is dual to IIA string theory, and in particular that the
behavior of the thermal theory at low temperature is equivalent to that of
certain black holes in IIA supergravity. Our simulations probe the low
temperature regime for N <= 5 and the intermediate and high temperature regimes
for N <= 12. We observe 't Hooft scaling and at low temperatures our results
are consistent with the dual black hole prediction. The intermediate
temperature range is dual to the Horowitz-Polchinski correspondence region, and
our results are consistent with smooth behavior there. We include the Pfaffian
phase arising from the fermions in our calculations where appropriate.
|
[
{
"created": "Sat, 29 Mar 2008 15:57:18 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Catterall",
"Simon",
""
],
[
"Wiseman",
"Toby",
""
]
] |
We report on lattice simulations of 16 supercharge SU(N) Yang-Mills quantum mechanics in the 't Hooft limit. Maldacena duality conjectures that in this limit the theory is dual to IIA string theory, and in particular that the behavior of the thermal theory at low temperature is equivalent to that of certain black holes in IIA supergravity. Our simulations probe the low temperature regime for N <= 5 and the intermediate and high temperature regimes for N <= 12. We observe 't Hooft scaling and at low temperatures our results are consistent with the dual black hole prediction. The intermediate temperature range is dual to the Horowitz-Polchinski correspondence region, and our results are consistent with smooth behavior there. We include the Pfaffian phase arising from the fermions in our calculations where appropriate.
| 8.414507
| 8.747265
| 9.840542
| 8.529002
| 9.280289
| 8.4108
| 8.882677
| 7.853467
| 8.427661
| 9.65143
| 8.08434
| 8.137069
| 8.508891
| 7.950708
| 8.342116
| 8.028962
| 8.331634
| 8.084242
| 8.027392
| 8.824389
| 8.150428
|
1812.02254
|
Dalimil Mazac
|
Dalimil Mazac
|
A Crossing-Symmetric OPE Inversion Formula
|
Mathematica notebook included, v2: references added
| null |
10.1007/JHEP06(2019)082
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive a Lorentzian OPE inversion formula for the principal series of
$sl(2,\mathbb{R})$. Unlike the standard Lorentzian inversion formula in higher
dimensions, the formula described here only applies to fully crossing-symmetric
four-point functions and makes crossing symmetry manifest. In particular,
inverting a single conformal block in the crossed channel returns the
coefficient function of the crossing-symmetric sum of Witten exchange diagrams
in AdS, including the direct-channel exchange. The inversion kernel exhibits
poles at the double-trace scaling dimensions, whose contributions must cancel
out in a generic solution to crossing. In this way the inversion formula leads
to a derivation of the Polyakov bootstrap for $sl(2,\mathbb{R})$. The residues
of the inversion kernel at the double-trace dimensions give rise to analytic
bootstrap functionals discussed in recent literature, thus providing an
alternative explanation for their existence. We also use the formula to give a
general proof that the coefficient function of the principal series is
meromorphic in the entire complex plane with poles only at the expected
locations.
|
[
{
"created": "Wed, 5 Dec 2018 22:27:22 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Jan 2019 10:03:21 GMT",
"version": "v2"
}
] |
2019-07-24
|
[
[
"Mazac",
"Dalimil",
""
]
] |
We derive a Lorentzian OPE inversion formula for the principal series of $sl(2,\mathbb{R})$. Unlike the standard Lorentzian inversion formula in higher dimensions, the formula described here only applies to fully crossing-symmetric four-point functions and makes crossing symmetry manifest. In particular, inverting a single conformal block in the crossed channel returns the coefficient function of the crossing-symmetric sum of Witten exchange diagrams in AdS, including the direct-channel exchange. The inversion kernel exhibits poles at the double-trace scaling dimensions, whose contributions must cancel out in a generic solution to crossing. In this way the inversion formula leads to a derivation of the Polyakov bootstrap for $sl(2,\mathbb{R})$. The residues of the inversion kernel at the double-trace dimensions give rise to analytic bootstrap functionals discussed in recent literature, thus providing an alternative explanation for their existence. We also use the formula to give a general proof that the coefficient function of the principal series is meromorphic in the entire complex plane with poles only at the expected locations.
| 9.728593
| 9.655692
| 11.880214
| 9.397739
| 9.897943
| 9.796121
| 9.74685
| 9.168658
| 9.476915
| 13.526546
| 9.309827
| 8.982516
| 10.015846
| 9.312944
| 9.56518
| 9.460844
| 9.199844
| 9.108007
| 9.217905
| 9.707515
| 8.755109
|
hep-th/9211068
|
German Sierra
|
Cesar Gomez and German Sierra
|
A brief history of hidden quantum symmetries in Conformal Field Theories
|
20 pages, Latex, IMAFF-92
| null | null | null |
hep-th
| null |
We review briefly a stream of ideas concerning the role of quantum groups as
hidden symmetries in conformal field theories, paying particular attention to
the field theoretical representations of quantum groups based on Coulomb gas
methods. An extensive bibliography is also included.
|
[
{
"created": "Mon, 16 Nov 1992 15:55:34 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Gomez",
"Cesar",
""
],
[
"Sierra",
"German",
""
]
] |
We review briefly a stream of ideas concerning the role of quantum groups as hidden symmetries in conformal field theories, paying particular attention to the field theoretical representations of quantum groups based on Coulomb gas methods. An extensive bibliography is also included.
| 15.89586
| 11.221675
| 15.402822
| 11.665758
| 11.732224
| 12.180101
| 12.583705
| 12.476375
| 11.502282
| 14.435448
| 11.920821
| 12.524526
| 14.342899
| 12.235865
| 12.430617
| 12.636639
| 11.882796
| 12.49953
| 13.147667
| 14.09735
| 12.308695
|
hep-th/9912038
|
Taejin Lee
|
Taejin Lee
|
Noncommutative Dirac-Born-Infeld Action for D-brane
|
13 Pages, RevTex, added references
|
Phys.Lett.B478:313-319,2000
|
10.1016/S0370-2693(00)00248-3
|
KIAS-P99109
|
hep-th
| null |
We derive the noncommutative Dirac-Born-Infeld action for the $D$-brane,
which governs dynamics of $D$-brane with a NS-NS $B$-field in the low energy
regime. Depending on some details of the path integral prescriptions, both
ordinary Dirac-Born-Infeld action and noncommutative one can be obtained by
evaluating the same Polyakov string path integral for the open string ending on
the $D$-brane. Thus, it establishes the equivalence of the noncommutative
Dirac-Born-Infeld action and the ordinary one.
|
[
{
"created": "Mon, 6 Dec 1999 08:02:23 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Dec 1999 07:22:06 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Lee",
"Taejin",
""
]
] |
We derive the noncommutative Dirac-Born-Infeld action for the $D$-brane, which governs dynamics of $D$-brane with a NS-NS $B$-field in the low energy regime. Depending on some details of the path integral prescriptions, both ordinary Dirac-Born-Infeld action and noncommutative one can be obtained by evaluating the same Polyakov string path integral for the open string ending on the $D$-brane. Thus, it establishes the equivalence of the noncommutative Dirac-Born-Infeld action and the ordinary one.
| 5.949782
| 5.037245
| 5.752902
| 5.087462
| 5.468228
| 5.180243
| 5.200456
| 5.111015
| 5.137187
| 6.34248
| 5.098793
| 5.291231
| 5.854679
| 5.289232
| 5.454533
| 5.414152
| 5.185918
| 5.252494
| 5.329636
| 5.522743
| 5.306406
|
hep-th/0201051
|
Anzhong Wang
|
Anzhong Wang
|
Thick de Sitter 3-Branes, Dynamic Black Holes and Localization of
Gravity
|
the study of scalar perturbations and some relevant references have
been added. The most used definition for mass in de Sitter space has been
adopted
|
Phys.Rev.D66:024024,2002
|
10.1103/PhysRevD.66.024024
| null |
hep-th gr-qc
| null |
The embedding of a thick de Sitter 3-brane into a five-dimensional bulk is
studied, assuming a scalar field with potential is present in the bulk. A class
of solutions is found in closed form that can represent a thick de Sitter
3-brane interpolating either between two dynamical black holes with a $R \times
S_{4}$ topology or between two Rindler-like spacetimes with a $R_{2}\times
S_{3}$ topology. The gravitational field is localized in a small region near
the center of the 3-brane. The analysis of graviton fluctuations shows that a
zero mode exists and separates itself from a set of continuous modes by a mass
gap. The existence of such a mass gap is shown to be universal. The scalar
perturbations are also studied and shown to be stable.
|
[
{
"created": "Tue, 8 Jan 2002 21:07:13 GMT",
"version": "v1"
},
{
"created": "Wed, 8 May 2002 15:29:03 GMT",
"version": "v2"
},
{
"created": "Thu, 9 May 2002 23:42:47 GMT",
"version": "v3"
}
] |
2009-07-07
|
[
[
"Wang",
"Anzhong",
""
]
] |
The embedding of a thick de Sitter 3-brane into a five-dimensional bulk is studied, assuming a scalar field with potential is present in the bulk. A class of solutions is found in closed form that can represent a thick de Sitter 3-brane interpolating either between two dynamical black holes with a $R \times S_{4}$ topology or between two Rindler-like spacetimes with a $R_{2}\times S_{3}$ topology. The gravitational field is localized in a small region near the center of the 3-brane. The analysis of graviton fluctuations shows that a zero mode exists and separates itself from a set of continuous modes by a mass gap. The existence of such a mass gap is shown to be universal. The scalar perturbations are also studied and shown to be stable.
| 8.066914
| 6.63201
| 7.348533
| 6.882359
| 7.165063
| 6.698414
| 7.346608
| 6.426125
| 6.634234
| 8.059442
| 6.691576
| 7.268041
| 7.198111
| 7.095228
| 7.037683
| 7.025618
| 7.186734
| 6.881705
| 7.087619
| 7.273194
| 6.996713
|
hep-th/0411046
|
Bruno Zumino
|
Bruno Zumino
|
Constraints and Casimirs for Superpoincare and Supertranslation Algebras
in various dimensions
|
9 pages, pdf, talk given at the Pran Nath Fest, Northeastern
University, Boston, August 18-19, 2004
| null |
10.1142/9789812701756_0096
| null |
hep-th
| null |
We describe, for arbitrary dimensions the construction of a covariant and
supersymmetric constraint for the massless Super Poincare' algebra and we show
that the constraint fixes uniquely the representation of the algebra. For the
case of finite mass and in the absence of central charges we discuss a similar
construction, which generalizes to arbitrary dimensions the concept of the
superspin Casimir. Finally we discuss briefly the modifications introduced by
central charges, both scalar and tensorial.
|
[
{
"created": "Wed, 3 Nov 2004 22:59:18 GMT",
"version": "v1"
}
] |
2017-08-23
|
[
[
"Zumino",
"Bruno",
""
]
] |
We describe, for arbitrary dimensions the construction of a covariant and supersymmetric constraint for the massless Super Poincare' algebra and we show that the constraint fixes uniquely the representation of the algebra. For the case of finite mass and in the absence of central charges we discuss a similar construction, which generalizes to arbitrary dimensions the concept of the superspin Casimir. Finally we discuss briefly the modifications introduced by central charges, both scalar and tensorial.
| 13.911356
| 11.839441
| 13.309078
| 11.719874
| 14.23193
| 11.447289
| 12.024335
| 11.819538
| 12.257349
| 14.409156
| 12.046258
| 12.030886
| 12.903665
| 11.902168
| 12.36689
| 12.582848
| 12.24554
| 12.166457
| 11.566814
| 13.495904
| 11.935051
|
0704.1990
|
Eugenio R. Bezerra de Mello
|
J. Spinelly and E. R. Bezerra de Mello
|
Vacuum Polarization by a Magnetic Flux Tube at Finite Temperature in the
Cosmic String Spacetime
|
16 pages, 1 figure
|
Int.J.Mod.Phys.D18:53-70,2009
|
10.1142/S0218271809014273
| null |
hep-th gr-qc
| null |
In this paper we analyse the effect produced by the temperature in the vacuum
polarization associated with charged massless scalar field in the presence of
magnetic flux tube in the cosmic string spacetime. Three different
configurations of magnetic fields are taken into account: $(i)$ a homogeneous
field inside the tube, $(ii)$ a field proportional to $1/r$ and $(iii)$ a
cylindrical shell with $\delta$-function. In these three cases, the axis of the
infinitely long tube of radius $R$ coincides with the cosmic string. Because
the complexity of this analysis in the region inside the tube, we consider the
thermal effect in the region outside. In order to develop this analysis, we
construct the thermal Green function associated with this system for the three
above mentioned situations considering points in the region outside the tube.
We explicitly calculate in the high-temperature limit, the thermal average of
the field square and the energy-momentum tensor.
|
[
{
"created": "Mon, 16 Apr 2007 12:02:57 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Apr 2008 17:37:47 GMT",
"version": "v2"
}
] |
2009-03-24
|
[
[
"Spinelly",
"J.",
""
],
[
"de Mello",
"E. R. Bezerra",
""
]
] |
In this paper we analyse the effect produced by the temperature in the vacuum polarization associated with charged massless scalar field in the presence of magnetic flux tube in the cosmic string spacetime. Three different configurations of magnetic fields are taken into account: $(i)$ a homogeneous field inside the tube, $(ii)$ a field proportional to $1/r$ and $(iii)$ a cylindrical shell with $\delta$-function. In these three cases, the axis of the infinitely long tube of radius $R$ coincides with the cosmic string. Because the complexity of this analysis in the region inside the tube, we consider the thermal effect in the region outside. In order to develop this analysis, we construct the thermal Green function associated with this system for the three above mentioned situations considering points in the region outside the tube. We explicitly calculate in the high-temperature limit, the thermal average of the field square and the energy-momentum tensor.
| 8.322623
| 4.529143
| 8.226786
| 6.091845
| 5.728072
| 5.34639
| 5.470573
| 5.231291
| 5.289685
| 8.519958
| 5.653829
| 6.758567
| 8.08945
| 7.369584
| 7.129083
| 7.087753
| 7.052774
| 6.943188
| 7.242923
| 8.130548
| 7.417389
|
hep-th/9701036
|
Yukinori Nagatani
|
Yukinori Nagatani (Nagoya University)
|
Dynamical Symmetry Breaking in Fractal Space
|
28 pages, 5 figures, LaTeX with epsf macro
|
Phys.Rev. D56 (1997) 1239-1249
|
10.1103/PhysRevD.56.1239
|
DPNU-96-61
|
hep-th
| null |
We formulate field theories in fractal space and show the phase diagrams of
the coupling versus the fractal dimension for the dynamical symmetry breaking.
We first consider the 4-dimensional Gross-Neveu (GN) model in the
(4-d)-dimensional randomized Cantor space where the fermions are restricted to
a fractal space by the high potential barrier of Cantor fractal shape. By the
statistical treatment of this potential, we obtain an effective action
depending on the fractal dimension. Solving the 1/N leading Schwinger-Dyson
(SD) equation, we get the phase diagram of dynamical symmetry breaking with a
critical line similar to that of the d-dimensional (2<d<4) GN model except for
the system-size dependence. We also consider QED4 with only the fermions
formally compactified to d dimensions. Solving the ladder SD equation, we
obtain the phase diagram of dynamical chiral symmetry breaking with a linear
critical line, which is consistent with the known results for d=4 (the
Maskawa-Nakajima case) and d=2 (the case with the external magnetic field).
|
[
{
"created": "Thu, 9 Jan 1997 18:32:56 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Nagatani",
"Yukinori",
"",
"Nagoya University"
]
] |
We formulate field theories in fractal space and show the phase diagrams of the coupling versus the fractal dimension for the dynamical symmetry breaking. We first consider the 4-dimensional Gross-Neveu (GN) model in the (4-d)-dimensional randomized Cantor space where the fermions are restricted to a fractal space by the high potential barrier of Cantor fractal shape. By the statistical treatment of this potential, we obtain an effective action depending on the fractal dimension. Solving the 1/N leading Schwinger-Dyson (SD) equation, we get the phase diagram of dynamical symmetry breaking with a critical line similar to that of the d-dimensional (2<d<4) GN model except for the system-size dependence. We also consider QED4 with only the fermions formally compactified to d dimensions. Solving the ladder SD equation, we obtain the phase diagram of dynamical chiral symmetry breaking with a linear critical line, which is consistent with the known results for d=4 (the Maskawa-Nakajima case) and d=2 (the case with the external magnetic field).
| 9.451344
| 10.609943
| 10.212013
| 9.800858
| 10.663377
| 11.41758
| 9.892321
| 10.371597
| 9.988503
| 9.731994
| 9.57214
| 9.735263
| 9.853862
| 9.48116
| 9.751336
| 9.398621
| 9.809075
| 9.392093
| 9.526466
| 9.649469
| 9.23486
|
hep-th/9703021
|
Murat Gunaydin
|
Murat Gunaydin
|
Seven Sphere and the Exceptional Nonlinear Superconformal Algebras
|
Talk given at the 30th International Symposium on the Theory of
Elementary Particles, Buckow, Germany (Aug. 27-31, 1996). 11 pages, latex
file
|
Nucl.Phys.Proc.Suppl.56B:70-75,1997
|
10.1016/S0920-5632(97)00311-3
|
PSU-TH-180 (Dec. 1996)
|
hep-th
| null |
The realizations of the exceptional non-linear (quadratically generated, or
W-type) N=8 and N=7 superconformal algebras with Spin(7) and G_2 affine
symmetry currents are reviewed. Both the N=8 and N=7 algebras admit unitary
realizations in terms of a single boson and free fermions in 8 of Spin(7) and 7
of G_2, with the central charges c=26/5 and c=5, respectively. They also have
realizations over the coset spaces SO(8)XU(1)/SO(7) and SO(7)X U(1)/G_2 for
some fixed values of their central charges. The coset space SO(8)/SO(7) is the
seven-sphere , whereas the space SO(7)/G_2 represents the seven-sphere with
torsion. We conclude with a discussion of a novel 'hybrid' method developed
recently that yields unitary realizations of the exceptional N=8 and N=7
algebras for all allowed values of their central charges.
|
[
{
"created": "Mon, 3 Mar 1997 20:58:59 GMT",
"version": "v1"
}
] |
2011-02-09
|
[
[
"Gunaydin",
"Murat",
""
]
] |
The realizations of the exceptional non-linear (quadratically generated, or W-type) N=8 and N=7 superconformal algebras with Spin(7) and G_2 affine symmetry currents are reviewed. Both the N=8 and N=7 algebras admit unitary realizations in terms of a single boson and free fermions in 8 of Spin(7) and 7 of G_2, with the central charges c=26/5 and c=5, respectively. They also have realizations over the coset spaces SO(8)XU(1)/SO(7) and SO(7)X U(1)/G_2 for some fixed values of their central charges. The coset space SO(8)/SO(7) is the seven-sphere , whereas the space SO(7)/G_2 represents the seven-sphere with torsion. We conclude with a discussion of a novel 'hybrid' method developed recently that yields unitary realizations of the exceptional N=8 and N=7 algebras for all allowed values of their central charges.
| 6.426296
| 6.910262
| 7.447371
| 6.068882
| 6.691032
| 6.712801
| 6.780093
| 6.441505
| 6.46389
| 7.896103
| 6.435926
| 6.107299
| 6.828176
| 6.122733
| 6.06999
| 5.998964
| 6.290121
| 6.091759
| 6.241025
| 6.759217
| 6.085249
|
0705.2562
|
Delia Schwartz-Perlov
|
Ken D. Olum and Delia Schwartz-Perlov
|
Anthropic prediction in a large toy landscape
|
13 pages
|
JCAP0710:010,2007
|
10.1088/1475-7516/2007/10/010
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The successful anthropic prediction of the cosmological constant depends
crucially on the assumption of a flat prior distribution. However, previous
calculations in simplified landscape models showed that the prior distribution
is staggered, suggesting a conflict with anthropic predictions. Here we
analytically calculate the full distribution, including the prior and anthropic
selection effects, in a toy landscape model with a realistic number of vacua,
$N \sim 10^{500}$. We show that it is possible for the fractal prior
distribution we find to behave as an effectively flat distribution in a wide
class of landscapes, depending on the regime of parameter space. Whether or not
this possibility is realized depends on presently unknown details of the
landscape.
|
[
{
"created": "Thu, 17 May 2007 16:51:27 GMT",
"version": "v1"
},
{
"created": "Thu, 17 May 2007 20:00:13 GMT",
"version": "v2"
},
{
"created": "Tue, 29 Oct 2019 17:11:47 GMT",
"version": "v3"
}
] |
2019-10-30
|
[
[
"Olum",
"Ken D.",
""
],
[
"Schwartz-Perlov",
"Delia",
""
]
] |
The successful anthropic prediction of the cosmological constant depends crucially on the assumption of a flat prior distribution. However, previous calculations in simplified landscape models showed that the prior distribution is staggered, suggesting a conflict with anthropic predictions. Here we analytically calculate the full distribution, including the prior and anthropic selection effects, in a toy landscape model with a realistic number of vacua, $N \sim 10^{500}$. We show that it is possible for the fractal prior distribution we find to behave as an effectively flat distribution in a wide class of landscapes, depending on the regime of parameter space. Whether or not this possibility is realized depends on presently unknown details of the landscape.
| 10.161246
| 9.277265
| 9.264219
| 8.787991
| 9.356594
| 8.594223
| 10.345429
| 9.105923
| 8.712007
| 9.425654
| 9.442483
| 9.1675
| 9.527373
| 9.110548
| 9.14611
| 9.221437
| 9.276166
| 9.142397
| 9.187122
| 9.284843
| 8.817422
|
0906.4814
|
Andrew K. Waldron
|
D. Cherney, E. Latini and A. Waldron
|
BRST Detour Quantization
|
43 pages, LaTeX, added references
|
J.Math.Phys.51:062302,2010
|
10.1063/1.3372732
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present the BRST cohomologies of a class of constraint (super) Lie
algebras as detour complexes. By giving physical interpretations to the
components of detour complexes as gauge invariances, Bianchi identities and
equations of motion we obtain a large class of new gauge theories. The pivotal
new machinery is a treatment of the ghost Hilbert space designed to manifest
the detour structure. Along with general results, we give details for three of
these theories which correspond to gauge invariant spinning particle models of
totally symmetric, antisymmetric and K\"ahler antisymmetric forms. In
particular, we give details of our recent announcement of a (p,q)-form K\"ahler
electromagnetism. We also discuss how our results generalize to other special
geometries.
|
[
{
"created": "Thu, 25 Jun 2009 23:24:06 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Jul 2009 16:51:02 GMT",
"version": "v2"
}
] |
2014-11-20
|
[
[
"Cherney",
"D.",
""
],
[
"Latini",
"E.",
""
],
[
"Waldron",
"A.",
""
]
] |
We present the BRST cohomologies of a class of constraint (super) Lie algebras as detour complexes. By giving physical interpretations to the components of detour complexes as gauge invariances, Bianchi identities and equations of motion we obtain a large class of new gauge theories. The pivotal new machinery is a treatment of the ghost Hilbert space designed to manifest the detour structure. Along with general results, we give details for three of these theories which correspond to gauge invariant spinning particle models of totally symmetric, antisymmetric and K\"ahler antisymmetric forms. In particular, we give details of our recent announcement of a (p,q)-form K\"ahler electromagnetism. We also discuss how our results generalize to other special geometries.
| 17.18281
| 16.798735
| 18.134245
| 15.135531
| 17.325396
| 16.004618
| 16.987015
| 15.945831
| 16.415674
| 21.101675
| 15.718963
| 14.96974
| 16.611233
| 15.782886
| 15.858865
| 15.533531
| 15.586599
| 15.385204
| 15.573922
| 17.635826
| 15.203739
|
2311.14668
|
Henrik Johansson
|
Lucile Cangemi, Marco Chiodaroli, Henrik Johansson, Alexander Ochirov,
Paolo Pichini and Evgeny Skvortsov
|
From higher-spin gauge interactions to Compton amplitudes for root-Kerr
|
65p + appx., 1 figure
| null | null |
UUITP-35/23
|
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We develop massive higher-spin theory as a framework for describing dynamics
of rotating compact objects, such as Kerr black holes. In this paper, we
explore gauge interactions up to quartic order and corresponding Compton
amplitudes of higher-spin massive objects coupled to electromagnetism and
Yang-Mills theory. Their classical counterparts are known as root-Kerr
gauge-theory solutions, whose amplitudes are closely related to those of Kerr
black holes. We use three distinct approaches: (i) massive higher-spin gauge
symmetry to introduce cubic interactions for all spins and the quartic
interactions up to spin 3, which is implemented both off shell and via Ward
identities; (ii) a chiral higher-spin approach to construct quartic Lagrangians
with correct degrees of freedom to all spins; (iii) on-shell functional
patterns before and after taking the classical limit to constrain the Compton
amplitudes. As final results, we arrive at simple local formulae for the
candidate root-Kerr Compton amplitudes both in the quantum regime and classical
limit, to all orders in spin. This is a precursor to the gravitational Kerr
case, which is presented in a follow-up paper.
|
[
{
"created": "Fri, 24 Nov 2023 18:58:34 GMT",
"version": "v1"
}
] |
2023-11-27
|
[
[
"Cangemi",
"Lucile",
""
],
[
"Chiodaroli",
"Marco",
""
],
[
"Johansson",
"Henrik",
""
],
[
"Ochirov",
"Alexander",
""
],
[
"Pichini",
"Paolo",
""
],
[
"Skvortsov",
"Evgeny",
""
]
] |
We develop massive higher-spin theory as a framework for describing dynamics of rotating compact objects, such as Kerr black holes. In this paper, we explore gauge interactions up to quartic order and corresponding Compton amplitudes of higher-spin massive objects coupled to electromagnetism and Yang-Mills theory. Their classical counterparts are known as root-Kerr gauge-theory solutions, whose amplitudes are closely related to those of Kerr black holes. We use three distinct approaches: (i) massive higher-spin gauge symmetry to introduce cubic interactions for all spins and the quartic interactions up to spin 3, which is implemented both off shell and via Ward identities; (ii) a chiral higher-spin approach to construct quartic Lagrangians with correct degrees of freedom to all spins; (iii) on-shell functional patterns before and after taking the classical limit to constrain the Compton amplitudes. As final results, we arrive at simple local formulae for the candidate root-Kerr Compton amplitudes both in the quantum regime and classical limit, to all orders in spin. This is a precursor to the gravitational Kerr case, which is presented in a follow-up paper.
| 14.099981
| 12.51317
| 15.14118
| 12.786884
| 12.459176
| 12.773218
| 12.378973
| 12.631699
| 12.440761
| 14.696918
| 12.905449
| 12.938583
| 13.453404
| 13.006783
| 12.69209
| 13.095747
| 13.101774
| 12.604947
| 13.062724
| 13.362561
| 12.715357
|
1405.3658
|
Martin Sprenger
|
J. Bartels, V. Schomerus, M. Sprenger
|
Heptagon Amplitude in the Multi-Regge Regime
|
14 pages
|
JHEP 1410 (2014) 67
|
10.1007/JHEP10(2014)067
|
DESY 14-076
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
As we have shown in previous work, the high energy limit of scattering
amplitudes in N=4 supersymmetric Yang-Mills theory corresponds to the infrared
limit of the 1-dimensional quantum integrable system that solves minimal area
problems in AdS5. This insight can be developed into a systematic algorithm to
compute the strong coupling limit of amplitudes in the multi-Regge regime
through the solution of auxiliary Bethe Ansatz equations. We apply this
procedure to compute the scattering amplitude for n=7 external gluons in
different multi-Regge regions at infinite 't Hooft coupling. Our formulas are
remarkably consistent with the expected form of 7-gluon Regge cut contributions
in perturbative gauge theory. A full description of the general algorithm and a
derivation of results will be given in a forthcoming paper.
|
[
{
"created": "Wed, 14 May 2014 20:00:21 GMT",
"version": "v1"
}
] |
2014-11-11
|
[
[
"Bartels",
"J.",
""
],
[
"Schomerus",
"V.",
""
],
[
"Sprenger",
"M.",
""
]
] |
As we have shown in previous work, the high energy limit of scattering amplitudes in N=4 supersymmetric Yang-Mills theory corresponds to the infrared limit of the 1-dimensional quantum integrable system that solves minimal area problems in AdS5. This insight can be developed into a systematic algorithm to compute the strong coupling limit of amplitudes in the multi-Regge regime through the solution of auxiliary Bethe Ansatz equations. We apply this procedure to compute the scattering amplitude for n=7 external gluons in different multi-Regge regions at infinite 't Hooft coupling. Our formulas are remarkably consistent with the expected form of 7-gluon Regge cut contributions in perturbative gauge theory. A full description of the general algorithm and a derivation of results will be given in a forthcoming paper.
| 7.349713
| 7.241641
| 8.435393
| 7.036445
| 7.273821
| 7.608411
| 7.353868
| 6.923394
| 7.189941
| 8.570834
| 7.057818
| 7.099248
| 7.631888
| 6.99689
| 7.142036
| 6.908581
| 6.808507
| 6.817018
| 6.832707
| 7.153807
| 7.092934
|
2308.11583
|
Surajit Biswas
|
Nabamita Banerjee, Arindam Bhattacharjee, Surajit Biswas, Arpita
Mitra, Debangshu Mukherjee
|
$W(0,b)$ algebra and the dual theory of 3D asymptotically flat higher
spin gravity
|
27+5 pages; 3 appendices
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
BMS algebra in three spacetime dimensions can be deformed into a two
parameter family of algebra known as $W(a,b)$ algebra. For $a=0$, we show that
other than $W(0,-1)$, no other $W(0,b)$ algebra admits a non-degenerate
bilinear and thus one can not have a Chern-Simons gauge theory formulation with
them. However, they may appear in a three-dimensional gravity description,
where we also need to have a spin 2 generator, that comes from the $(a=0,b=-1)$
sector. In the present work, we have demonstrated that the asymptotic symmetry
algebra of a spin 3 gravity theory on flat spacetime has both the $W(0,-1)$ and
$W(0,-2)$ algebras as subalgebras. We have also constructed a dual boundary
field theory for this higher spin gravity theory by using the
Chern-Simons/Wess-Zumino-Witten correspondence.
|
[
{
"created": "Tue, 22 Aug 2023 17:32:24 GMT",
"version": "v1"
}
] |
2023-08-23
|
[
[
"Banerjee",
"Nabamita",
""
],
[
"Bhattacharjee",
"Arindam",
""
],
[
"Biswas",
"Surajit",
""
],
[
"Mitra",
"Arpita",
""
],
[
"Mukherjee",
"Debangshu",
""
]
] |
BMS algebra in three spacetime dimensions can be deformed into a two parameter family of algebra known as $W(a,b)$ algebra. For $a=0$, we show that other than $W(0,-1)$, no other $W(0,b)$ algebra admits a non-degenerate bilinear and thus one can not have a Chern-Simons gauge theory formulation with them. However, they may appear in a three-dimensional gravity description, where we also need to have a spin 2 generator, that comes from the $(a=0,b=-1)$ sector. In the present work, we have demonstrated that the asymptotic symmetry algebra of a spin 3 gravity theory on flat spacetime has both the $W(0,-1)$ and $W(0,-2)$ algebras as subalgebras. We have also constructed a dual boundary field theory for this higher spin gravity theory by using the Chern-Simons/Wess-Zumino-Witten correspondence.
| 7.463586
| 7.218313
| 7.78169
| 6.788511
| 7.260899
| 7.557748
| 7.421604
| 6.51152
| 7.060037
| 8.418596
| 6.626585
| 6.889441
| 6.901213
| 6.663245
| 6.907668
| 6.785882
| 6.724367
| 6.631382
| 6.69522
| 7.179509
| 6.564714
|
1903.04127
|
Zhong-Ying Fan
|
Zhong-Ying Fan, Minyong Guo
|
Holographic complexity and thermodynamics of AdS black holes
|
minor revisions, references added, to apperear in PRD; 31 pages, 8
figures
|
Phys. Rev. D 100, 026016 (2019)
|
10.1103/PhysRevD.100.026016
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we relate the complexity for a holographic state to a simple
gravitational object of which the growth rate at late times is equal to
temperature times black hole entropy. We show that if this is correct, the
thermodynamics of AdS black holes implies that for generic holographic states
dual to static AdS black holes, the complexity growth rate at late times will
saturate the Lloyd bound at high temperature limit. In particular, for AdS
planar black holes, the result holds at lower temperatures as well. We
conjecture that the complexity growth is bounded above as $d\mathcal{C}/dt\leq
\alpha T S/\pi\hbar$ or $d\mathcal{C}/dt\leq \alpha \big(T_+
S_+-T_-S_-\big)/\pi\hbar$ for black holes with inner horizons, where $\alpha$
is an overall coefficient for our new proposal. The conjecture passes a number
of nontrivial tests for black holes in Einstein's gravity. However, we also
find that the bound may be violated in the presence of stringy corrections.
|
[
{
"created": "Mon, 11 Mar 2019 05:09:59 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Jun 2019 04:11:22 GMT",
"version": "v2"
}
] |
2019-07-31
|
[
[
"Fan",
"Zhong-Ying",
""
],
[
"Guo",
"Minyong",
""
]
] |
In this paper, we relate the complexity for a holographic state to a simple gravitational object of which the growth rate at late times is equal to temperature times black hole entropy. We show that if this is correct, the thermodynamics of AdS black holes implies that for generic holographic states dual to static AdS black holes, the complexity growth rate at late times will saturate the Lloyd bound at high temperature limit. In particular, for AdS planar black holes, the result holds at lower temperatures as well. We conjecture that the complexity growth is bounded above as $d\mathcal{C}/dt\leq \alpha T S/\pi\hbar$ or $d\mathcal{C}/dt\leq \alpha \big(T_+ S_+-T_-S_-\big)/\pi\hbar$ for black holes with inner horizons, where $\alpha$ is an overall coefficient for our new proposal. The conjecture passes a number of nontrivial tests for black holes in Einstein's gravity. However, we also find that the bound may be violated in the presence of stringy corrections.
| 7.07487
| 6.357048
| 7.172814
| 6.261134
| 6.634719
| 6.59089
| 6.404843
| 6.630332
| 6.161595
| 7.390781
| 6.543342
| 6.48813
| 6.668642
| 6.427625
| 6.46212
| 6.59717
| 6.385361
| 6.585766
| 6.491371
| 6.865698
| 6.500093
|
1901.00662
|
Ulf Lindstr\"om
|
M. Abou-Zeid, C.M. Hull, U. Lindstr\"om and M. Ro\v{c}ek
|
T-Duality in $(2,1)$ Superspace
|
45 pages, Minor Corrections
| null |
10.1007/JHEP06(2019)138
|
Imperial-TP-2019-CH-01, UUITP-51/18, YITP-SB-18-31
|
hep-th math.DG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We find the T-duality transformation rules for 2-dimensional (2,1)
supersymmetric sigma-models in (2,1) superspace. Our results clarify certain
aspects of the (2,1) sigma model geometry relevant to the discussion of
T-duality. The complexified duality transformations we find are equivalent to
the usual Buscher duality transformations (including an important refinement)
together with diffeomorphisms. We use the gauging of sigma-models in (2,1)
superspace, which we review and develop, finding a manifestly real and
geometric expression for the gauged action. We discuss the obstructions to
gauging (2,1) sigma-models, and find that the obstructions to (2,1) T-duality
are considerably weaker.
|
[
{
"created": "Thu, 3 Jan 2019 09:47:23 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Jan 2019 13:02:47 GMT",
"version": "v2"
}
] |
2022-10-12
|
[
[
"Abou-Zeid",
"M.",
""
],
[
"Hull",
"C. M.",
""
],
[
"Lindström",
"U.",
""
],
[
"Roček",
"M.",
""
]
] |
We find the T-duality transformation rules for 2-dimensional (2,1) supersymmetric sigma-models in (2,1) superspace. Our results clarify certain aspects of the (2,1) sigma model geometry relevant to the discussion of T-duality. The complexified duality transformations we find are equivalent to the usual Buscher duality transformations (including an important refinement) together with diffeomorphisms. We use the gauging of sigma-models in (2,1) superspace, which we review and develop, finding a manifestly real and geometric expression for the gauged action. We discuss the obstructions to gauging (2,1) sigma-models, and find that the obstructions to (2,1) T-duality are considerably weaker.
| 6.680498
| 6.808396
| 8.069512
| 6.65043
| 6.284957
| 6.948732
| 6.870121
| 6.792076
| 6.488618
| 7.867134
| 6.532792
| 6.732978
| 7.44545
| 6.514578
| 6.30107
| 6.523584
| 6.598214
| 6.397913
| 6.573706
| 7.305283
| 6.547617
|
1711.05526
|
Dave Dunbar
|
David C. Dunbar, John H. Godwin, Guy R. Jehu and Warren B. Perkins
|
Loop Amplitudes in an Extended Gravity Theory
|
16 pages; some corrections to formulae and comments added
| null |
10.1016/j.physletb.2018.02.046
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We extend the $S$-matrix of gravity by the addition of the minimal
three-point amplitude or equivalently adding $R^3$ terms to the Lagrangian. We
demonstrate how Unitarity can be used to simply examine the renormalisability
of this theory and determine the $R^4$ counter-terms that arise at one-loop. We
find that the combination of $R^4$ terms that arise in the extended theory is
complementary to the $R^4$ counter-term associated with supersymmetric
Lagrangians.
|
[
{
"created": "Wed, 15 Nov 2017 12:30:38 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Feb 2018 14:12:03 GMT",
"version": "v2"
}
] |
2018-02-28
|
[
[
"Dunbar",
"David C.",
""
],
[
"Godwin",
"John H.",
""
],
[
"Jehu",
"Guy R.",
""
],
[
"Perkins",
"Warren B.",
""
]
] |
We extend the $S$-matrix of gravity by the addition of the minimal three-point amplitude or equivalently adding $R^3$ terms to the Lagrangian. We demonstrate how Unitarity can be used to simply examine the renormalisability of this theory and determine the $R^4$ counter-terms that arise at one-loop. We find that the combination of $R^4$ terms that arise in the extended theory is complementary to the $R^4$ counter-term associated with supersymmetric Lagrangians.
| 8.532853
| 7.505052
| 8.485444
| 7.658888
| 8.536239
| 8.061352
| 8.089513
| 7.858919
| 7.781469
| 9.779341
| 7.687858
| 8.511348
| 8.28104
| 8.178891
| 8.391679
| 8.310691
| 8.405232
| 8.347552
| 8.144808
| 8.093418
| 8.103928
|
1707.02072
|
Leron Borsten
|
L. Borsten and A. Marrani
|
A Kind of Magic
|
38 pages. Reference added and minor corrections made
| null |
10.1088/1361-6382/aa8fe2
|
DIAS-STP-17-05, DFPD/2015/TH-23
|
hep-th math-ph math.MP math.RA math.RT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We introduce the extended Freudenthal-Rosenfeld-Tits magic square based on
six algebras: the reals $\mathbb{R}$, complexes $\mathbb{C}$, ternions
$\mathbb{T}$, quaternions $\mathbb{H}$, sextonions $\mathbb{S}$ and octonions
$\mathbb{O}$. The ternionic and sextonionic rows/columns of the magic square
yield non-reductive Lie algebras, including
$\mathfrak{e}_{7\scriptscriptstyle{\frac{1}{2}}}$. It is demonstrated that the
algebras of the extended magic square appear quite naturally as the symmetries
of supergravity Lagrangians. The sextonionic row (for appropriate choices of
real forms) gives the non-compact global symmetries of the Lagrangian for the
$D=3$ maximal $\mathcal{N}=16$, magic $\mathcal{N}=4$ and magic
non-supersymmetric theories, obtained by dimensionally reducing the $D=4$
parent theories on a circle, with the graviphoton left undualised. In
particular, the extremal intermediate non-reductive Lie algebra
$\tilde{\mathfrak{e}}_{7(7)\scriptscriptstyle{\frac{1}{2}}}$ (which is not a
subalgebra of $\mathfrak{e}_{8(8)}$) is the non-compact global symmetry algebra
of $D=3$, $\mathcal{N}=16$ supergravity as obtained by dimensionally reducing
$D=4$, $\mathcal{N}=8$ supergravity with $\mathfrak{e}_{7(7)}$ symmetry on a
circle. The ternionic row (for appropriate choices of real forms) gives the
non-compact global symmetries of the Lagrangian for the $D=4$ maximal
$\mathcal{N}=8$, magic $\mathcal{N}=2$ and magic non-supersymmetric theories
obtained by dimensionally reducing the parent $D=5$ theories on a circle. In
particular, the Kantor-Koecher-Tits intermediate non-reductive Lie algebra
$\mathfrak{e}_{6(6)\scriptscriptstyle{\frac{1}{4}}}$ is the non-compact global
symmetry algebra of $D=4$, $\mathcal{N}=8$ supergravity as obtained by
dimensionally reducing $D=5$, $\mathcal{N}=8$ supergravity with
$\mathfrak{e}_{6(6)}$ symmetry on a circle.
|
[
{
"created": "Fri, 7 Jul 2017 08:18:57 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Jul 2017 17:11:49 GMT",
"version": "v2"
}
] |
2017-12-06
|
[
[
"Borsten",
"L.",
""
],
[
"Marrani",
"A.",
""
]
] |
We introduce the extended Freudenthal-Rosenfeld-Tits magic square based on six algebras: the reals $\mathbb{R}$, complexes $\mathbb{C}$, ternions $\mathbb{T}$, quaternions $\mathbb{H}$, sextonions $\mathbb{S}$ and octonions $\mathbb{O}$. The ternionic and sextonionic rows/columns of the magic square yield non-reductive Lie algebras, including $\mathfrak{e}_{7\scriptscriptstyle{\frac{1}{2}}}$. It is demonstrated that the algebras of the extended magic square appear quite naturally as the symmetries of supergravity Lagrangians. The sextonionic row (for appropriate choices of real forms) gives the non-compact global symmetries of the Lagrangian for the $D=3$ maximal $\mathcal{N}=16$, magic $\mathcal{N}=4$ and magic non-supersymmetric theories, obtained by dimensionally reducing the $D=4$ parent theories on a circle, with the graviphoton left undualised. In particular, the extremal intermediate non-reductive Lie algebra $\tilde{\mathfrak{e}}_{7(7)\scriptscriptstyle{\frac{1}{2}}}$ (which is not a subalgebra of $\mathfrak{e}_{8(8)}$) is the non-compact global symmetry algebra of $D=3$, $\mathcal{N}=16$ supergravity as obtained by dimensionally reducing $D=4$, $\mathcal{N}=8$ supergravity with $\mathfrak{e}_{7(7)}$ symmetry on a circle. The ternionic row (for appropriate choices of real forms) gives the non-compact global symmetries of the Lagrangian for the $D=4$ maximal $\mathcal{N}=8$, magic $\mathcal{N}=2$ and magic non-supersymmetric theories obtained by dimensionally reducing the parent $D=5$ theories on a circle. In particular, the Kantor-Koecher-Tits intermediate non-reductive Lie algebra $\mathfrak{e}_{6(6)\scriptscriptstyle{\frac{1}{4}}}$ is the non-compact global symmetry algebra of $D=4$, $\mathcal{N}=8$ supergravity as obtained by dimensionally reducing $D=5$, $\mathcal{N}=8$ supergravity with $\mathfrak{e}_{6(6)}$ symmetry on a circle.
| 3.043892
| 3.377982
| 3.408761
| 3.182487
| 3.371949
| 3.317169
| 3.257351
| 3.259974
| 3.268172
| 3.491817
| 3.287929
| 3.110486
| 3.14963
| 3.14003
| 3.124368
| 3.142973
| 3.098799
| 3.139391
| 3.064256
| 3.177588
| 3.091498
|
1406.7602
|
Boris Zupnik
|
B.M. Zupnik
|
SU(4) harmonic superspace and supersymmetric gauge theory
|
21 pages, v2: corrected version
| null |
10.1007/s11232-015-0322-y
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the harmonic-superspace formalism in the $N=4$ supersymmetry
using the $SU(4)/SU(2)\times SU(2)\times U(1)$ harmonics which was earlier
applied to the abelian gauge theory. The N=4 non-abelian constraints in a
standard superspace are reformulated as the harmonic-superspace equations for
two basic analytic superfields: the independent superfield strength W of a
dimension 1 and the dimensionless harmonic gauge 4-prepotential V having the
$U(1)$ charge 2. These constraint equations I manifestly depend on the
Grassmann coordinates $\theta$, although they are covariant under the unusual
N=4 supersymmetry transformations. We analyze an alternative harmonic formalism
of the supergauge theory for two unconstrained nonabelian analytic superfields
W and V. The gauge-invariant action A(W,V) in this formalism contains $\theta$
factors in each term, it is invariant under the $SU(4)$ automorphism group. In
this model, the interaction of two infinite-dimensional N=4 supermultiplets
with the physical and auxiliary fields arises at the level of component fields.
The action A(W,V) generate analytic equations of motion II alternative to the
harmonic-superspace superfield constraints I. Both sets of equations give us
the equivalent equations for the physical component fields of the $N=4$ gauge
supermultiplet, they connect auxiliary and physical fields of two superfields.
The nonlinear effective interaction of the abelian harmonic superfield W is
constructed.
|
[
{
"created": "Mon, 30 Jun 2014 04:37:25 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Oct 2014 12:05:55 GMT",
"version": "v2"
}
] |
2015-10-28
|
[
[
"Zupnik",
"B. M.",
""
]
] |
We consider the harmonic-superspace formalism in the $N=4$ supersymmetry using the $SU(4)/SU(2)\times SU(2)\times U(1)$ harmonics which was earlier applied to the abelian gauge theory. The N=4 non-abelian constraints in a standard superspace are reformulated as the harmonic-superspace equations for two basic analytic superfields: the independent superfield strength W of a dimension 1 and the dimensionless harmonic gauge 4-prepotential V having the $U(1)$ charge 2. These constraint equations I manifestly depend on the Grassmann coordinates $\theta$, although they are covariant under the unusual N=4 supersymmetry transformations. We analyze an alternative harmonic formalism of the supergauge theory for two unconstrained nonabelian analytic superfields W and V. The gauge-invariant action A(W,V) in this formalism contains $\theta$ factors in each term, it is invariant under the $SU(4)$ automorphism group. In this model, the interaction of two infinite-dimensional N=4 supermultiplets with the physical and auxiliary fields arises at the level of component fields. The action A(W,V) generate analytic equations of motion II alternative to the harmonic-superspace superfield constraints I. Both sets of equations give us the equivalent equations for the physical component fields of the $N=4$ gauge supermultiplet, they connect auxiliary and physical fields of two superfields. The nonlinear effective interaction of the abelian harmonic superfield W is constructed.
| 11.814859
| 12.526445
| 13.137597
| 11.178019
| 12.465773
| 12.459111
| 11.910525
| 11.209606
| 10.931704
| 13.62522
| 10.973356
| 11.065612
| 11.547091
| 10.719092
| 10.973445
| 11.245233
| 11.057981
| 11.063968
| 10.881494
| 11.595989
| 10.881258
|
1803.05552
|
Qiang Wen
|
Qiang Wen
|
Fine structure in holographic entanglement and entanglement contour
|
v3:Version improved, second half of the paper re-written, relate the
fine structure to the entanglement contour, references added, title changed,
calculation details added. v4:published version 21 pages, 9 figures
|
Phys. Rev. D 98, 106004 (2018)
|
10.1103/PhysRevD.98.106004
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explore the fine structure of the holographic entanglement entropy
proposal (the Ryu-Takayanagi formula) in AdS$_3$/CFT$_{2}$. With the guidance
from the boundary and bulk modular flows we find a natural slicing of the
entanglement wedge with the modular planes, which are co-dimension one bulk
surfaces tangent to the modular flow everywhere. This gives an one-to-one
correspondence between the points on the boundary interval $\mathcal{A}$ and
the points on the Ryu-Takayanagi (RT) surface $\mathcal{E}_{\mathcal{A}}$. In
the same sense an arbitrary subinterval $\mathcal{A}_2$ of $\mathcal{A}$ will
correspond to a subinterval $\mathcal{E}_2$ of $\mathcal{E}_{\mathcal{A}}$.
This fine correspondence indicates that the length of $\mathcal{E}_2$ captures
the contribution $s_{\mathcal{A}}(\mathcal{A}_2)$ from $\mathcal{A}_2$ to the
entanglement entropy $S_{\mathcal{A}}$, hence gives the contour function for
entanglement entropy. Furthermore we propose that
$s_{\mathcal{A}}(\mathcal{A}_2)$ in general can be written as a simple linear
combination of entanglement entropies of single intervals inside $\mathcal{A}$.
This proposal passes several non-trivial tests.
|
[
{
"created": "Thu, 15 Mar 2018 00:44:27 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Apr 2018 19:47:20 GMT",
"version": "v2"
},
{
"created": "Wed, 1 Aug 2018 12:05:59 GMT",
"version": "v3"
},
{
"created": "Tue, 30 Oct 2018 11:34:50 GMT",
"version": "v4"
}
] |
2018-11-14
|
[
[
"Wen",
"Qiang",
""
]
] |
We explore the fine structure of the holographic entanglement entropy proposal (the Ryu-Takayanagi formula) in AdS$_3$/CFT$_{2}$. With the guidance from the boundary and bulk modular flows we find a natural slicing of the entanglement wedge with the modular planes, which are co-dimension one bulk surfaces tangent to the modular flow everywhere. This gives an one-to-one correspondence between the points on the boundary interval $\mathcal{A}$ and the points on the Ryu-Takayanagi (RT) surface $\mathcal{E}_{\mathcal{A}}$. In the same sense an arbitrary subinterval $\mathcal{A}_2$ of $\mathcal{A}$ will correspond to a subinterval $\mathcal{E}_2$ of $\mathcal{E}_{\mathcal{A}}$. This fine correspondence indicates that the length of $\mathcal{E}_2$ captures the contribution $s_{\mathcal{A}}(\mathcal{A}_2)$ from $\mathcal{A}_2$ to the entanglement entropy $S_{\mathcal{A}}$, hence gives the contour function for entanglement entropy. Furthermore we propose that $s_{\mathcal{A}}(\mathcal{A}_2)$ in general can be written as a simple linear combination of entanglement entropies of single intervals inside $\mathcal{A}$. This proposal passes several non-trivial tests.
| 4.219604
| 4.515889
| 4.896019
| 4.152834
| 4.423872
| 4.486888
| 4.201436
| 4.273618
| 4.200961
| 4.787951
| 4.08107
| 4.193264
| 4.275857
| 4.018411
| 4.069165
| 4.198302
| 4.140521
| 4.153553
| 4.08171
| 4.291919
| 4.108961
|
2203.04972
|
Justin Kaidi
|
Justin Kaidi, Mario Martone, Gabi Zafrir
|
Exceptional moduli spaces for exceptional $\mathcal{N}=3$ theories
|
33+25 pages; v2: references added
| null |
10.1007/JHEP08(2022)264
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
It is expected on general grounds that the moduli space of 4d $\mathcal{N}=3$
theories is of the form $\mathbb{C}^{3r}/\Gamma$, with $r$ the rank and
$\Gamma$ a crystallographic complex reflection group (CCRG). As in the case of
Lie algebras, the space of CCRGs consists of several infinite families,
together with some exceptionals. To date, no 4d $\mathcal{N}=3$ theory with
moduli space labelled by an exceptional CCRG (excluding Weyl groups) has been
identified. In this work we show that the 4d $\mathcal{N}=3$ theories proposed
in \cite{Garcia-Etxebarria:2016erx}, constructed via non-geometric quotients of
type-$\mathfrak{e}$ 6d (2,0) theories, realize nearly all such exceptional
moduli spaces. In addition, we introduce an extension of this construction to
allow for twists and quotients by outer automorphism symmetries. This gives new
examples of 4d $\mathcal{N}=3$ theories going beyond simple S-folds.
|
[
{
"created": "Wed, 9 Mar 2022 19:00:00 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Aug 2022 06:36:20 GMT",
"version": "v2"
}
] |
2022-09-14
|
[
[
"Kaidi",
"Justin",
""
],
[
"Martone",
"Mario",
""
],
[
"Zafrir",
"Gabi",
""
]
] |
It is expected on general grounds that the moduli space of 4d $\mathcal{N}=3$ theories is of the form $\mathbb{C}^{3r}/\Gamma$, with $r$ the rank and $\Gamma$ a crystallographic complex reflection group (CCRG). As in the case of Lie algebras, the space of CCRGs consists of several infinite families, together with some exceptionals. To date, no 4d $\mathcal{N}=3$ theory with moduli space labelled by an exceptional CCRG (excluding Weyl groups) has been identified. In this work we show that the 4d $\mathcal{N}=3$ theories proposed in \cite{Garcia-Etxebarria:2016erx}, constructed via non-geometric quotients of type-$\mathfrak{e}$ 6d (2,0) theories, realize nearly all such exceptional moduli spaces. In addition, we introduce an extension of this construction to allow for twists and quotients by outer automorphism symmetries. This gives new examples of 4d $\mathcal{N}=3$ theories going beyond simple S-folds.
| 5.779575
| 5.569085
| 6.207041
| 5.273641
| 5.847965
| 5.650955
| 5.504803
| 5.540924
| 5.499517
| 6.327772
| 5.345637
| 5.222058
| 5.620415
| 5.104041
| 5.362412
| 5.290507
| 5.376581
| 5.311868
| 5.272345
| 5.725452
| 5.331247
|
0910.5441
|
Edi Halyo
|
Edi Halyo
|
Domain Walls on Singularities
|
16 pages in phyzzx.tex
|
Mod.Phys.Lett.A26:1035-1045,2011
|
10.1142/S0217732311035572
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We describe domain walls that live on $A_2$ and $A_3$ singularities. The
walls are BPS if the singularity is resolved and non--BPS if it is deformed and
fibered. We show that these domain walls may interpolate between vacua that
support monopoles and/or vortices.
|
[
{
"created": "Wed, 28 Oct 2009 17:28:58 GMT",
"version": "v1"
}
] |
2011-06-06
|
[
[
"Halyo",
"Edi",
""
]
] |
We describe domain walls that live on $A_2$ and $A_3$ singularities. The walls are BPS if the singularity is resolved and non--BPS if it is deformed and fibered. We show that these domain walls may interpolate between vacua that support monopoles and/or vortices.
| 10.256116
| 7.893983
| 11.773763
| 8.066072
| 8.390733
| 8.717353
| 7.822385
| 7.304
| 8.730574
| 10.877556
| 7.785685
| 8.187071
| 10.737555
| 8.784894
| 8.635256
| 8.491039
| 8.854197
| 8.286709
| 8.449891
| 10.014485
| 8.049863
|
1603.05582
|
Shai Chester
|
Shai M. Chester, Silviu S. Pufu
|
Anomalous dimensions of scalar operators in $QED_3$
|
33 pages, 13 figures, v2 minor improvements, refs added
|
Journal of High Energy Physics, 2016(8), 1-27
|
10.1007/JHEP08(2016)069
|
PUPT-2501
|
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The infrared dynamics of $2+1$ dimensional quantum electrodynamics (QED$_3$)
with a large number $N$ of fermion flavors is governed by an interacting CFT
that can be studied in the $1/N$ expansion. We use the $1/N$ expansion to
calculate the scaling dimensions of all the lowest three scalar operators that
transform under the $SU(N)$ flavor symmetry as a Young diagram with two columns
of not necessarily equal heights and that have vanishing topological charge. In
the case of $SU(N)$ singlets, we study the mixing of $(\bar \psi_i \psi^i)(\bar
\psi_j \psi^j)$ and $F_{\mu\nu} F^{\mu\nu}$, which are the lowest dimension
parity-even singlets. Our results suggest that these operators are irrelevant
for all $N>1$.
|
[
{
"created": "Thu, 17 Mar 2016 17:28:43 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Aug 2016 23:52:07 GMT",
"version": "v2"
}
] |
2016-08-24
|
[
[
"Chester",
"Shai M.",
""
],
[
"Pufu",
"Silviu S.",
""
]
] |
The infrared dynamics of $2+1$ dimensional quantum electrodynamics (QED$_3$) with a large number $N$ of fermion flavors is governed by an interacting CFT that can be studied in the $1/N$ expansion. We use the $1/N$ expansion to calculate the scaling dimensions of all the lowest three scalar operators that transform under the $SU(N)$ flavor symmetry as a Young diagram with two columns of not necessarily equal heights and that have vanishing topological charge. In the case of $SU(N)$ singlets, we study the mixing of $(\bar \psi_i \psi^i)(\bar \psi_j \psi^j)$ and $F_{\mu\nu} F^{\mu\nu}$, which are the lowest dimension parity-even singlets. Our results suggest that these operators are irrelevant for all $N>1$.
| 5.298107
| 5.075512
| 5.420632
| 5.026476
| 5.07436
| 4.812872
| 4.843713
| 5.130118
| 4.805641
| 5.299471
| 4.724077
| 4.824683
| 4.989288
| 4.895565
| 4.705857
| 4.772051
| 4.791968
| 4.802413
| 4.824497
| 5.054328
| 4.773947
|
1504.04439
|
Justin David R
|
Justin R. David and Surbhi Khetrapal
|
Thermalization of Green functions and quasinormal modes
|
Typos corrected, references added, 38 pages. 9 figures. Mathematica
files included in source files
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We develop a new method to study the thermalization of time dependent
retarded Green function in conformal field theories holographically dual to
thin shell AdS Vaidya space times. The method relies on using the information
of all time derivatives of the Green function at the shell and then evolving it
for later times. The time derivatives of the Green function at the shell is
given in terms of a recursion formula. Using this method we obtain analytic
results for short time thermalization of the Green function. We show that the
late time behaviour of the Green function is determined by the first
quasinormal mode. We then implement the method numerically. As applications of
this method we study the thermalization of the retarded time dependent Green
function corresponding to a minimally coupled scalar in the AdS3 and AdS5 thin
Vaidya shells. We see that as expected the late time behaviour is determined by
the first quasinormal mode. We apply the method to study the late time
behaviour of the shear vector mode in AdS5 Vaidya shell. At small momentum the
corresponding time dependent Green function is expected to relax to equilibrium
by the shear hydrodynamic mode. Using this we obtain the universal ratio of the
shear viscosity to entropy density from a time dependent process.
|
[
{
"created": "Fri, 17 Apr 2015 04:42:44 GMT",
"version": "v1"
},
{
"created": "Tue, 12 May 2015 11:20:27 GMT",
"version": "v2"
}
] |
2015-05-13
|
[
[
"David",
"Justin R.",
""
],
[
"Khetrapal",
"Surbhi",
""
]
] |
We develop a new method to study the thermalization of time dependent retarded Green function in conformal field theories holographically dual to thin shell AdS Vaidya space times. The method relies on using the information of all time derivatives of the Green function at the shell and then evolving it for later times. The time derivatives of the Green function at the shell is given in terms of a recursion formula. Using this method we obtain analytic results for short time thermalization of the Green function. We show that the late time behaviour of the Green function is determined by the first quasinormal mode. We then implement the method numerically. As applications of this method we study the thermalization of the retarded time dependent Green function corresponding to a minimally coupled scalar in the AdS3 and AdS5 thin Vaidya shells. We see that as expected the late time behaviour is determined by the first quasinormal mode. We apply the method to study the late time behaviour of the shear vector mode in AdS5 Vaidya shell. At small momentum the corresponding time dependent Green function is expected to relax to equilibrium by the shear hydrodynamic mode. Using this we obtain the universal ratio of the shear viscosity to entropy density from a time dependent process.
| 7.773989
| 7.606379
| 8.177165
| 7.47292
| 7.863266
| 7.415934
| 7.916204
| 7.415591
| 7.580829
| 8.633666
| 7.1723
| 7.512085
| 8.002927
| 7.718315
| 7.561228
| 7.35607
| 7.422556
| 7.645079
| 7.688675
| 8.432009
| 7.403228
|
hep-th/0508077
|
Mark Van Raamsdonk
|
Ofer Aharony, Joseph Marsano, Shiraz Minwalla, Kyriakos Papadodimas,
Mark Van Raamsdonk, and Toby Wiseman
|
The Phase Structure of Low Dimensional Large N Gauge Theories on Tori
|
harvmac, 67 pages, 21 figures. v2: minor corrections and
clarifications
|
JHEP 0601:140,2006
|
10.1088/1126-6708/2006/01/140
| null |
hep-th
| null |
In this paper we continue our study of the thermodynamics of large N gauge
theories on compact spaces. We consider toroidal compactifications of pure
SU(N) Yang-Mills theories and of maximally supersymmetric Yang-Mills theories
dimensionally reduced to 0+1 or 1+1 dimensions, and generalizations of such
theories where the adjoint fields are massive. We describe the phase structure
of these theories as a function of the gauge coupling, the geometry of the
compact space and the mass parameters. In particular, we study the behavior of
order parameters associated with the holonomy of the gauge field around the
cycles of the torus. Our methods combine analytic analysis, numerical Monte
Carlo simulations, and (in the maximally supersymmetric case) information from
the dual gravitational theories.
|
[
{
"created": "Thu, 11 Aug 2005 18:50:05 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Jan 2006 13:58:19 GMT",
"version": "v2"
}
] |
2009-04-02
|
[
[
"Aharony",
"Ofer",
""
],
[
"Marsano",
"Joseph",
""
],
[
"Minwalla",
"Shiraz",
""
],
[
"Papadodimas",
"Kyriakos",
""
],
[
"Van Raamsdonk",
"Mark",
""
],
[
"Wiseman",
"Toby",
""
]
] |
In this paper we continue our study of the thermodynamics of large N gauge theories on compact spaces. We consider toroidal compactifications of pure SU(N) Yang-Mills theories and of maximally supersymmetric Yang-Mills theories dimensionally reduced to 0+1 or 1+1 dimensions, and generalizations of such theories where the adjoint fields are massive. We describe the phase structure of these theories as a function of the gauge coupling, the geometry of the compact space and the mass parameters. In particular, we study the behavior of order parameters associated with the holonomy of the gauge field around the cycles of the torus. Our methods combine analytic analysis, numerical Monte Carlo simulations, and (in the maximally supersymmetric case) information from the dual gravitational theories.
| 5.341905
| 5.18711
| 5.492507
| 4.991908
| 5.120207
| 5.093706
| 5.370366
| 5.070261
| 5.121629
| 6.333256
| 5.20312
| 5.12333
| 5.330123
| 5.035223
| 5.176092
| 5.074705
| 4.886128
| 5.004777
| 5.019124
| 5.243922
| 5.12575
|
1307.0077
|
Gianmassimo Tasinato
|
Gianmassimo Tasinato (ICG, Portsmouth), Kazuya Koyama (ICG,
Portsmouth), Nima Khosravi (AIMS, Cape Town)
|
The role of vector fields in modified gravity scenarios
|
17 pages, no figures. v2: discussion improved, JCAP version
| null |
10.1088/1475-7516/2013/11/037
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Gravitational vector degrees of freedom typically arise in many examples of
modified gravity models. We start to systematically explore their role in these
scenarios, studying the effects of coupling gravitational vector and scalar
degrees of freedom. We focus on set-ups that enjoy a Galilean symmetry in the
scalar sector and an Abelian gauge symmetry in the vector sector. These
symmetries, together with the requirement that the equations of motion contain
at most two space-time derivatives, only allow for a small number of operators
in the Lagrangian for the gravitational fields. We investigate the role of
gravitational vector fields for two broad classes of phenomena that
characterize modified gravity scenarios. The first is self-acceleration: we
analyze in general terms the behavior of vector fluctuations around
self-accelerating solutions, and show that vanishing kinetic terms of vector
fluctuations lead to instabilities on cosmological backgrounds. The second
phenomenon is the screening of long range fifth forces by means of Vainshtein
mechanism. We show that if gravitational vector fields are appropriately
coupled to a spherically symmetric source, they can play an important role for
defining the features of the background solution and the scale of the
Vainshtein radius. Our general results can be applied to any concrete model of
modified gravity, whose low-energy vector and scalar degrees of freedom satisfy
the symmetry requirements that we impose.
|
[
{
"created": "Sat, 29 Jun 2013 08:55:56 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Dec 2013 10:29:46 GMT",
"version": "v2"
}
] |
2015-06-16
|
[
[
"Tasinato",
"Gianmassimo",
"",
"ICG, Portsmouth"
],
[
"Koyama",
"Kazuya",
"",
"ICG,\n Portsmouth"
],
[
"Khosravi",
"Nima",
"",
"AIMS, Cape Town"
]
] |
Gravitational vector degrees of freedom typically arise in many examples of modified gravity models. We start to systematically explore their role in these scenarios, studying the effects of coupling gravitational vector and scalar degrees of freedom. We focus on set-ups that enjoy a Galilean symmetry in the scalar sector and an Abelian gauge symmetry in the vector sector. These symmetries, together with the requirement that the equations of motion contain at most two space-time derivatives, only allow for a small number of operators in the Lagrangian for the gravitational fields. We investigate the role of gravitational vector fields for two broad classes of phenomena that characterize modified gravity scenarios. The first is self-acceleration: we analyze in general terms the behavior of vector fluctuations around self-accelerating solutions, and show that vanishing kinetic terms of vector fluctuations lead to instabilities on cosmological backgrounds. The second phenomenon is the screening of long range fifth forces by means of Vainshtein mechanism. We show that if gravitational vector fields are appropriately coupled to a spherically symmetric source, they can play an important role for defining the features of the background solution and the scale of the Vainshtein radius. Our general results can be applied to any concrete model of modified gravity, whose low-energy vector and scalar degrees of freedom satisfy the symmetry requirements that we impose.
| 7.945514
| 7.957864
| 8.212158
| 7.496377
| 7.92032
| 8.003121
| 8.15124
| 7.988886
| 7.830752
| 8.877031
| 7.652198
| 7.692204
| 7.731043
| 7.625175
| 7.459978
| 7.644088
| 7.673673
| 7.590782
| 7.517258
| 7.579504
| 7.487888
|
1402.5239
|
Vasilis Oikonomou
|
V.K. Oikonomou
|
Superconducting Cosmic Strings and One Dimensional Extended
Supersymmetric Algebras
|
Revised Version
| null |
10.1016/j.aop.2014.07.020
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this article we study in detail the supersymmetric structures that
underlie the system of fermionic zero modes around a superconducting cosmic
string. Particularly, we extend the analysis existing in the literature on the
one dimensional $N=2$ supersymmetry and we find multiple $N=2$, $d=1$
supersymmetries. In addition, compact perturbations of the Witten index of the
system are performed and we find to which physical situations these
perturbations correspond. More importantly, we demonstrate that there exists a
much more rich supersymmetric structure underlying the system of fermions with
$N_f$ flavors and these are $N$-extended supersymmetric structures with
non-trivial topological charges, with "$N$" depending on the fermion flavors.
|
[
{
"created": "Fri, 21 Feb 2014 10:05:25 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Apr 2014 15:23:59 GMT",
"version": "v2"
}
] |
2015-06-18
|
[
[
"Oikonomou",
"V. K.",
""
]
] |
In this article we study in detail the supersymmetric structures that underlie the system of fermionic zero modes around a superconducting cosmic string. Particularly, we extend the analysis existing in the literature on the one dimensional $N=2$ supersymmetry and we find multiple $N=2$, $d=1$ supersymmetries. In addition, compact perturbations of the Witten index of the system are performed and we find to which physical situations these perturbations correspond. More importantly, we demonstrate that there exists a much more rich supersymmetric structure underlying the system of fermions with $N_f$ flavors and these are $N$-extended supersymmetric structures with non-trivial topological charges, with "$N$" depending on the fermion flavors.
| 9.863974
| 9.058481
| 9.993178
| 8.625597
| 9.391827
| 9.058153
| 8.944394
| 8.225458
| 9.261426
| 10.440671
| 9.186994
| 9.040211
| 10.047621
| 9.348464
| 8.908161
| 9.08432
| 9.191386
| 9.277198
| 9.756252
| 9.774757
| 9.343404
|
1310.3950
|
Diederik Roest
|
Renata Kallosh, Andrei Linde, Diederik Roest
|
A universal attractor for inflation at strong coupling
|
5 pages, 4 figures. v2: discussion on unitarity and extra refs added,
extended version of PRL paper
|
PRL 112 (2014) 011303
|
10.1103/PhysRevLett.112.011303
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We introduce a novel non-minimal coupling between gravity and the inflaton
sector. Remarkably, for large values of this coupling all models asymptote to a
universal attractor. This behavior is independent of the original scalar
potential and generalizes the attractor in the phi^4 theory with non-minimal
coupling to gravity. The attractor is located in the `sweet spot' of Planck's
recent results.
|
[
{
"created": "Tue, 15 Oct 2013 08:16:35 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Mar 2014 19:27:32 GMT",
"version": "v2"
}
] |
2015-06-17
|
[
[
"Kallosh",
"Renata",
""
],
[
"Linde",
"Andrei",
""
],
[
"Roest",
"Diederik",
""
]
] |
We introduce a novel non-minimal coupling between gravity and the inflaton sector. Remarkably, for large values of this coupling all models asymptote to a universal attractor. This behavior is independent of the original scalar potential and generalizes the attractor in the phi^4 theory with non-minimal coupling to gravity. The attractor is located in the `sweet spot' of Planck's recent results.
| 10.28386
| 10.429968
| 9.109683
| 8.703502
| 9.811688
| 9.742392
| 10.87699
| 9.652164
| 9.008602
| 10.780934
| 9.826894
| 9.79021
| 9.390727
| 9.014124
| 9.646624
| 9.475535
| 9.647689
| 9.278231
| 9.354279
| 9.096483
| 8.994205
|
1306.1745
|
Stefano Giusto
|
Stefano Giusto, Luca Martucci, Michela Petrini, Rodolfo Russo
|
6D microstate geometries from 10D structures
|
59 pages, including 19 pages of Appendix; v2: corrected typos, added
references; v3: corrected typos, eq. (3.55) simplified
| null |
10.1016/j.nuclphysb.2013.08.018
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use the formalism of Generalised Geometry to characterise in general the
supersymmetric backgrounds in type II supergravity that have a null Killing
vector. We then specify this analysis to configurations that preserve the same
supersymmetries as the D1-D5-P system compactified on a four-manifold. We give
a set of equations on the forms defining the supergravity background that are
equivalent to the supersymmetry constraints and the equations of motion. This
study is motivated by the search of new microstate geometries for the D1-D5-P
black hole. As an example, we rewrite the linearised three-charge solution of
arXiv:hep-th/0311092 in our formalism and show how to extend it to a
non-linear, regular and asymptotically flat configuration.
|
[
{
"created": "Fri, 7 Jun 2013 15:14:38 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Sep 2013 12:54:35 GMT",
"version": "v2"
},
{
"created": "Fri, 3 Jul 2015 13:57:08 GMT",
"version": "v3"
}
] |
2015-07-06
|
[
[
"Giusto",
"Stefano",
""
],
[
"Martucci",
"Luca",
""
],
[
"Petrini",
"Michela",
""
],
[
"Russo",
"Rodolfo",
""
]
] |
We use the formalism of Generalised Geometry to characterise in general the supersymmetric backgrounds in type II supergravity that have a null Killing vector. We then specify this analysis to configurations that preserve the same supersymmetries as the D1-D5-P system compactified on a four-manifold. We give a set of equations on the forms defining the supergravity background that are equivalent to the supersymmetry constraints and the equations of motion. This study is motivated by the search of new microstate geometries for the D1-D5-P black hole. As an example, we rewrite the linearised three-charge solution of arXiv:hep-th/0311092 in our formalism and show how to extend it to a non-linear, regular and asymptotically flat configuration.
| 6.388885
| 5.995695
| 6.837516
| 6.145147
| 6.325675
| 5.888767
| 6.130533
| 5.913969
| 6.198494
| 7.85126
| 6.202313
| 6.017882
| 6.622063
| 6.198366
| 6.221164
| 6.108843
| 5.967525
| 6.052211
| 6.153307
| 6.462657
| 6.067824
|
0901.1642
|
Antoine Folacci
|
Yves D\'ecanini and Antoine Folacci
|
Quasinormal modes of the BTZ black hole are generated by surface waves
supported by its boundary at infinity
|
v2: Typos corrected, English "improved", one additional reference
|
Phys.Rev.D79:044021,2009
|
10.1103/PhysRevD.79.044021
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We develop the complex angular momentum method in the context of the BTZ
black hole physics. This is achieved by extending a formalism introduced a long
time ago by Arnold Sommerfeld, which allows us to define and use the Regge pole
concept in a framework where the notion of an $S$ matrix does not exist. The
Regge poles of the BTZ black hole are exactly obtained and from the associated
Regge trajectories we determine its quasinormal mode complex frequencies.
Furthermore, our approach permits us to physically interpret them: they appear
as Breit-Wigner-type resonances generated by surface waves supported by the
black hole boundary at infinity which acts as a photon sphere.
|
[
{
"created": "Mon, 12 Jan 2009 20:36:28 GMT",
"version": "v1"
},
{
"created": "Sun, 8 Feb 2009 13:46:10 GMT",
"version": "v2"
}
] |
2009-02-19
|
[
[
"Décanini",
"Yves",
""
],
[
"Folacci",
"Antoine",
""
]
] |
We develop the complex angular momentum method in the context of the BTZ black hole physics. This is achieved by extending a formalism introduced a long time ago by Arnold Sommerfeld, which allows us to define and use the Regge pole concept in a framework where the notion of an $S$ matrix does not exist. The Regge poles of the BTZ black hole are exactly obtained and from the associated Regge trajectories we determine its quasinormal mode complex frequencies. Furthermore, our approach permits us to physically interpret them: they appear as Breit-Wigner-type resonances generated by surface waves supported by the black hole boundary at infinity which acts as a photon sphere.
| 12.418123
| 15.213373
| 11.44234
| 11.660292
| 12.604388
| 12.912285
| 13.19435
| 11.428301
| 12.540206
| 12.139116
| 11.872868
| 11.866263
| 11.52733
| 11.461351
| 11.874652
| 12.231202
| 12.347192
| 11.518028
| 11.707195
| 11.806957
| 12.112683
|
1706.10039
|
Ulf-G. Mei{\ss}ner
|
D. Djukanovic, J. Gegelia, Ulf-G. Mei{\ss}ner
|
Triviality of quantum electrodynamics revisited
|
3 pages, 2 figures
|
Commun. Theor. Phys. 69 (2018) 263
|
10.1088/0253-6102/69/3/263
| null |
hep-th hep-lat hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Quantum electrodynamics is considered to be a trivial theory. This is based
on a number of evidences, both numerical and analytical. One of the strong
indications for triviality of QED is the existence of the Landau pole for the
running coupling. We show that by treating QED as the leading order
approximation of an effective field theory and including the next-to-leading
order corrections, the Landau pole is removed. Therefore, we conclude that the
conjecture, that for reasons of self-consistency, QED needs to be trivial is a
mere artefact of the leading order approximation to the corresponding effective
field theory.
|
[
{
"created": "Fri, 30 Jun 2017 06:49:00 GMT",
"version": "v1"
}
] |
2018-02-12
|
[
[
"Djukanovic",
"D.",
""
],
[
"Gegelia",
"J.",
""
],
[
"Meißner",
"Ulf-G.",
""
]
] |
Quantum electrodynamics is considered to be a trivial theory. This is based on a number of evidences, both numerical and analytical. One of the strong indications for triviality of QED is the existence of the Landau pole for the running coupling. We show that by treating QED as the leading order approximation of an effective field theory and including the next-to-leading order corrections, the Landau pole is removed. Therefore, we conclude that the conjecture, that for reasons of self-consistency, QED needs to be trivial is a mere artefact of the leading order approximation to the corresponding effective field theory.
| 7.245009
| 6.809737
| 6.364394
| 6.381264
| 6.79571
| 7.086219
| 6.639975
| 6.630335
| 6.30744
| 7.345219
| 6.496084
| 6.564839
| 6.668913
| 6.458746
| 6.497441
| 6.553556
| 6.641327
| 6.772845
| 6.309871
| 6.677284
| 6.496706
|
hep-th/0201002
|
Myoung-taek Choi
|
Mu- in Park (CCNY)
|
Non-Commutative Space-Times, Black Hole, and Elementary Particle
|
Added footnote and references
| null | null |
CCNY-HEP-01/11
|
hep-th
| null |
It is shown that elementary black hole can not be distinguished from an
elementary particle in the non-commutative space-times (space/space and
space/time) at the Planck scale. But, the non-commutative space-times can not
be ``directly'' measured in the elementary black hole system. A time-varying
non-commutative parameter $\theta(t)$ is suggested in accordance with the
time-varying-G scenario. By identifying the elementary black hole with an
elementary particle, the large hierarchy between the weak scale and Planck
scale is naturally understood. For large black hole, the discrete spectrum of
the horizon area is derived by identifying the black hole horizon with a
non-commutative sphere.
|
[
{
"created": "Tue, 1 Jan 2002 01:55:55 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Jan 2002 15:50:56 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Park",
"Mu- in",
"",
"CCNY"
]
] |
It is shown that elementary black hole can not be distinguished from an elementary particle in the non-commutative space-times (space/space and space/time) at the Planck scale. But, the non-commutative space-times can not be ``directly'' measured in the elementary black hole system. A time-varying non-commutative parameter $\theta(t)$ is suggested in accordance with the time-varying-G scenario. By identifying the elementary black hole with an elementary particle, the large hierarchy between the weak scale and Planck scale is naturally understood. For large black hole, the discrete spectrum of the horizon area is derived by identifying the black hole horizon with a non-commutative sphere.
| 9.664209
| 9.081917
| 8.917313
| 8.643319
| 9.112972
| 8.749435
| 8.989628
| 8.662519
| 8.83774
| 9.474537
| 8.686078
| 8.683616
| 9.397735
| 8.762169
| 9.031052
| 8.860047
| 9.107384
| 8.613194
| 8.912336
| 9.08523
| 8.693069
|
1201.2317
|
Sergey Frolov Dr.
|
Sergey Frolov
|
Scaling dimensions from the mirror TBA
| null | null |
10.1088/1751-8113/45/30/305402
|
TCDMATH 12-01; HMI-12-01
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The mirror TBA equations proposed by Arutyunov, Suzuki and the author are
solved numerically up to 't Hooft's coupling $\lambda\approx 2340$ for several
two-particle states dual to ${\cal N}=4$ SYM operators from the $\sl(2)$
sector. The data obtained for states with mode numbers $n=1,2,3,4$ is used to
propose a general charge $J$ dependent formula for the first nonvanishing
subleading coefficient in the strong coupling expansion of scaling dimensions.
In addition we find that the first critical and subcritical values of the
coupling for the $J=4, n=1$ operator are at $\lambda\approx 133$ and
$\lambda\approx 190$, respectively.
|
[
{
"created": "Wed, 11 Jan 2012 14:52:25 GMT",
"version": "v1"
}
] |
2015-06-03
|
[
[
"Frolov",
"Sergey",
""
]
] |
The mirror TBA equations proposed by Arutyunov, Suzuki and the author are solved numerically up to 't Hooft's coupling $\lambda\approx 2340$ for several two-particle states dual to ${\cal N}=4$ SYM operators from the $\sl(2)$ sector. The data obtained for states with mode numbers $n=1,2,3,4$ is used to propose a general charge $J$ dependent formula for the first nonvanishing subleading coefficient in the strong coupling expansion of scaling dimensions. In addition we find that the first critical and subcritical values of the coupling for the $J=4, n=1$ operator are at $\lambda\approx 133$ and $\lambda\approx 190$, respectively.
| 9.282037
| 7.540788
| 9.192394
| 7.900302
| 7.83151
| 8.339332
| 7.56451
| 7.453727
| 7.647026
| 9.657792
| 7.615107
| 7.620259
| 8.512428
| 8.048638
| 7.531493
| 8.178856
| 8.05127
| 7.881423
| 7.928453
| 8.451286
| 7.994021
|
1303.1037
|
Ben Hoare
|
B. Hoare and A. A. Tseytlin
|
On string theory on AdS_3 x S^3 x T^4 with mixed 3-form flux: tree-level
S-matrix
|
46 pages; v2: 50 pages, new part of Appendix A added and minor
misprints corrected; v3: discussion of proposed dispersion relation in eq.
4.11 and symmetry algebra in appendix B for q not 0 modified; v4: minor
corrections and comments added; v5: misprints corrected (in particular, in
eqs. 3.18, 3.20 and 3.24) and reference added
| null |
10.1016/j.nuclphysb.2013.05.005
|
Imperial-TP-AT-2013-01, HU-EP-13/10
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider superstring theory on AdS_3 x S^3 x T^4 supported by a
combination of RR and NSNS 3-form fluxes (with parameter of the NSNS 3-form q).
This theory interpolates between the pure RR flux model (q=0) whose spectrum is
expected to be described by a Bethe ansatz and the pure NSNS flux model (q=1)
which is described by the supersymmetric extension of the SL(2,R) x SU(2) WZW
model. As a first step towards the solution of this integrable theory for
generic value of q we compute the corresponding tree-level S-matrix for massive
BMN-type excitations. We find that this S-matrix has a surprisingly simple
dependence on q: the diagonal amplitudes have exactly the same structure as in
the q=0 case but with the BMN dispersion relation e^2 = p^2 + 1 replaced by the
one with shifted momentum and mass, e^2 = (p + q)^2 + 1 - q^2. The off-diagonal
amplitudes are then determined from the classical Yang-Baxter equation. We also
construct the Pohlmeyer reduced model corresponding to this superstring theory
and find that it depends on q only through its mass-squared parameter
proportional to (1-q^2), implying that its relativistic S-matrix is
q-independent.
|
[
{
"created": "Tue, 5 Mar 2013 14:05:09 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Mar 2013 17:31:45 GMT",
"version": "v2"
},
{
"created": "Tue, 26 Mar 2013 14:27:35 GMT",
"version": "v3"
},
{
"created": "Thu, 23 May 2013 13:12:25 GMT",
"version": "v4"
},
{
"created": "Fri, 6 Apr 2018 12:11:00 GMT",
"version": "v5"
}
] |
2018-04-09
|
[
[
"Hoare",
"B.",
""
],
[
"Tseytlin",
"A. A.",
""
]
] |
We consider superstring theory on AdS_3 x S^3 x T^4 supported by a combination of RR and NSNS 3-form fluxes (with parameter of the NSNS 3-form q). This theory interpolates between the pure RR flux model (q=0) whose spectrum is expected to be described by a Bethe ansatz and the pure NSNS flux model (q=1) which is described by the supersymmetric extension of the SL(2,R) x SU(2) WZW model. As a first step towards the solution of this integrable theory for generic value of q we compute the corresponding tree-level S-matrix for massive BMN-type excitations. We find that this S-matrix has a surprisingly simple dependence on q: the diagonal amplitudes have exactly the same structure as in the q=0 case but with the BMN dispersion relation e^2 = p^2 + 1 replaced by the one with shifted momentum and mass, e^2 = (p + q)^2 + 1 - q^2. The off-diagonal amplitudes are then determined from the classical Yang-Baxter equation. We also construct the Pohlmeyer reduced model corresponding to this superstring theory and find that it depends on q only through its mass-squared parameter proportional to (1-q^2), implying that its relativistic S-matrix is q-independent.
| 5.310641
| 5.153189
| 6.266155
| 4.847524
| 5.250595
| 5.138806
| 5.177862
| 5.102395
| 4.904205
| 6.601779
| 4.883002
| 5.12025
| 5.548314
| 4.967315
| 5.069696
| 4.890663
| 5.074592
| 5.028737
| 5.139174
| 5.353483
| 5.076857
|
hep-th/0308170
|
Kunihito Uzawa
|
Kunihito Uzawa
|
Dilaton Stabilization in (A)dS Spacetime with Compactified Dimensions
|
43 pages, 12 figures, PTPTeX. Accepted for publication in Progress of
Theoretical Physics
|
Prog.Theor.Phys. 110 (2003) 457-498
|
10.1143/PTP.110.457
| null |
hep-th gr-qc hep-ph
| null |
We investigate dilaton stabilization in a higher-dimensional theory. The
background geometry is based on an eleven-dimensional Kaluza-Klein/supergravity
model, which is assumed to be a product of four-dimensional de Sitter (dS_4)
spacetime and a seven sphere. The dilaton potential has a local minimum
resulting from contributions of the cosmological constant, the curvature of the
internal spacetime and quantum effects of the background scalar, vector,
spinor, and tensor fields. The dilaton settles down to the local minimum, and
the scale of the extra dimensions eventually become time independent. Our
four-dimensional universe evolves from dS_4 into AdS_4 after stabilization of
the extra dimension.
|
[
{
"created": "Tue, 26 Aug 2003 05:29:28 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Uzawa",
"Kunihito",
""
]
] |
We investigate dilaton stabilization in a higher-dimensional theory. The background geometry is based on an eleven-dimensional Kaluza-Klein/supergravity model, which is assumed to be a product of four-dimensional de Sitter (dS_4) spacetime and a seven sphere. The dilaton potential has a local minimum resulting from contributions of the cosmological constant, the curvature of the internal spacetime and quantum effects of the background scalar, vector, spinor, and tensor fields. The dilaton settles down to the local minimum, and the scale of the extra dimensions eventually become time independent. Our four-dimensional universe evolves from dS_4 into AdS_4 after stabilization of the extra dimension.
| 9.587292
| 9.455931
| 8.045578
| 8.451969
| 9.765475
| 8.369083
| 9.019732
| 9.015344
| 8.401252
| 8.927171
| 9.612494
| 9.083062
| 8.403995
| 8.658592
| 8.698962
| 8.615993
| 8.841497
| 9.062825
| 8.681792
| 8.883598
| 8.777075
|
hep-th/9806095
| null |
R.R. Metsaev and A.A. Tseytlin
|
Supersymmetric D3 brane action in AdS_5 x S^5
|
12 pages, latex. v2: misprints corrected, useful representation of
the WZ part of the action added in section 3
|
Phys.Lett.B436:281-288,1998
|
10.1016/S0370-2693(98)00869-7
|
Imperial/TP/97-98/53
|
hep-th
| null |
We find the space-time supersymmetric and kappa-invariant action for a
D3-brane propagating in the AdS_5 x S^5 background. As in the previous
construction of the fundamental string action in this maximally supersymmetric
string vacuum the starting point is the corresponding superalgebra su(2,2|4).
We comment on the super Yang-Mills interpretation of the gauge-fixed form of
the action.
|
[
{
"created": "Thu, 11 Jun 1998 23:23:38 GMT",
"version": "v1"
},
{
"created": "Sun, 14 Jun 1998 18:06:53 GMT",
"version": "v2"
}
] |
2009-09-17
|
[
[
"Metsaev",
"R. R.",
""
],
[
"Tseytlin",
"A. A.",
""
]
] |
We find the space-time supersymmetric and kappa-invariant action for a D3-brane propagating in the AdS_5 x S^5 background. As in the previous construction of the fundamental string action in this maximally supersymmetric string vacuum the starting point is the corresponding superalgebra su(2,2|4). We comment on the super Yang-Mills interpretation of the gauge-fixed form of the action.
| 8.526256
| 7.122392
| 9.302973
| 6.77975
| 6.836636
| 6.595655
| 6.98227
| 6.782367
| 6.662214
| 10.732426
| 6.125846
| 7.269138
| 8.623477
| 7.549811
| 7.476805
| 6.988724
| 7.288597
| 7.460567
| 7.326893
| 9.220668
| 7.295474
|
2103.11502
|
Francisco Tello Ortiz
|
Alvaro Restuccia, Francisco Tello-Ortiz
|
Charged Throats in the Ho\v{r}ava--Lifshitz Theory
| null | null |
10.1140/epjc/s10052-021-09251-0
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
A spherically symmetric solution of the field equations of the
Ho\v{r}ava--Lifshitz gravity--gauge vector interaction theory is obtained and
analyzed. It describes a charged throat. The solution exists provided a
restriction on the relation between the mass and charge is satisfied. The
restriction reduces to the Reissner--Nordstr\"{o}m one in the limit in which
the coupling constants tend to the relativistic values of General Relativity.
We introduce the correct charts to describe the solution across the entire
manifold, including the throat connecting an asymptotic Minkowski space--time
with a singular 3+1 dimensional manifold. The solution external to the throat
on the asymptotically flat side tends to the Reissner--Nordstr\"{o}m
space--time at the limit when the coupling parameter, associated with the term
in the low energy Hamiltonian that manifestly breaks the relativistic symmetry,
tends to zero. Also, when the electric charge is taken to be zero the solution
becomes the spherically symmetric and static solution of the
Ho\v{r}ava--Lifshitz gravity.
|
[
{
"created": "Sun, 21 Mar 2021 22:16:22 GMT",
"version": "v1"
}
] |
2023-01-11
|
[
[
"Restuccia",
"Alvaro",
""
],
[
"Tello-Ortiz",
"Francisco",
""
]
] |
A spherically symmetric solution of the field equations of the Ho\v{r}ava--Lifshitz gravity--gauge vector interaction theory is obtained and analyzed. It describes a charged throat. The solution exists provided a restriction on the relation between the mass and charge is satisfied. The restriction reduces to the Reissner--Nordstr\"{o}m one in the limit in which the coupling constants tend to the relativistic values of General Relativity. We introduce the correct charts to describe the solution across the entire manifold, including the throat connecting an asymptotic Minkowski space--time with a singular 3+1 dimensional manifold. The solution external to the throat on the asymptotically flat side tends to the Reissner--Nordstr\"{o}m space--time at the limit when the coupling parameter, associated with the term in the low energy Hamiltonian that manifestly breaks the relativistic symmetry, tends to zero. Also, when the electric charge is taken to be zero the solution becomes the spherically symmetric and static solution of the Ho\v{r}ava--Lifshitz gravity.
| 7.228134
| 7.689011
| 7.421592
| 7.416682
| 7.516889
| 7.186207
| 7.063416
| 6.980873
| 7.306513
| 7.522156
| 6.940627
| 7.157117
| 6.899447
| 6.808278
| 7.026208
| 6.973089
| 6.791803
| 6.792633
| 6.793493
| 6.823327
| 6.747625
|
2211.04333
|
Ryotaku Suzuki
|
David Licht, Ryotaku Suzuki and Benson Way
|
The large D effective theory of black strings in AdS
|
43pages, 18figures; v2: minor modifications, references added,
44pages
| null |
10.1007/JHEP12(2022)146
|
TTI-MATHPHYS-16
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study black strings/funnels and other black hole configurations in AdS
that correspond to different phases of the dual CFT in black hole backgrounds,
employing different approaches at large $D$. We assemble the phase diagram of
uniform and non-uniform black strings/funnels and study their dynamical
stability. We also construct flowing horizons. Many of our results are
available analytically, though some are only known numerically.
|
[
{
"created": "Tue, 8 Nov 2022 15:51:01 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Nov 2022 12:29:11 GMT",
"version": "v2"
}
] |
2023-01-18
|
[
[
"Licht",
"David",
""
],
[
"Suzuki",
"Ryotaku",
""
],
[
"Way",
"Benson",
""
]
] |
We study black strings/funnels and other black hole configurations in AdS that correspond to different phases of the dual CFT in black hole backgrounds, employing different approaches at large $D$. We assemble the phase diagram of uniform and non-uniform black strings/funnels and study their dynamical stability. We also construct flowing horizons. Many of our results are available analytically, though some are only known numerically.
| 17.655767
| 14.005049
| 17.217865
| 14.590962
| 18.311924
| 14.820913
| 15.453203
| 16.284124
| 13.932453
| 18.624418
| 14.266351
| 15.273046
| 16.141747
| 15.642016
| 15.675173
| 14.728551
| 15.593243
| 16.028147
| 15.476927
| 16.710636
| 15.393964
|
hep-th/9901057
|
Poul Olesen
|
J. Greensite and P. Olesen
|
Worldsheet Fluctuations and the Heavy Quark Potential in the AdS/CFT
Approach
|
16 pages, 3 figures, Latex2e. Added some remarks on the
incompatibility of the AdS/CFT and the lattice regulators, and on the
appropriate boundary conditions
|
JHEP 9904:001,1999
|
10.1088/1126-6708/1999/04/001
| null |
hep-th hep-lat hep-ph
| null |
We consider contributions to the heavy quark potential, in the AdS/CFT
approach to SU(N) gauge theory, which arise from first order fluctuations of
the associated worldsheet in anti-deSitter space. The gaussian fluctuations
occur around a classical worldsheet configuration resembling an infinite square
well, with the bottom of the well lying at the AdS horizon. The eigenvalues of
the corresponding Laplacian operators can be shown numerically to be very close
to those in flat space. We find that two of the transverse world sheet fields
become massive, which may have implications for the existence of a L{\"u}scher
term in the heavy quark potential. It is also suggested that these massive
degrees of freedom may relate to extrinsic curvature in an effective D=4 string
theory.
|
[
{
"created": "Thu, 14 Jan 1999 10:01:29 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Jan 1999 04:42:38 GMT",
"version": "v2"
},
{
"created": "Wed, 20 Jan 1999 09:29:42 GMT",
"version": "v3"
},
{
"created": "Wed, 7 Apr 1999 09:09:44 GMT",
"version": "v4"
}
] |
2010-02-03
|
[
[
"Greensite",
"J.",
""
],
[
"Olesen",
"P.",
""
]
] |
We consider contributions to the heavy quark potential, in the AdS/CFT approach to SU(N) gauge theory, which arise from first order fluctuations of the associated worldsheet in anti-deSitter space. The gaussian fluctuations occur around a classical worldsheet configuration resembling an infinite square well, with the bottom of the well lying at the AdS horizon. The eigenvalues of the corresponding Laplacian operators can be shown numerically to be very close to those in flat space. We find that two of the transverse world sheet fields become massive, which may have implications for the existence of a L{\"u}scher term in the heavy quark potential. It is also suggested that these massive degrees of freedom may relate to extrinsic curvature in an effective D=4 string theory.
| 10.505101
| 10.271062
| 10.410905
| 9.989475
| 11.014384
| 10.824547
| 10.590962
| 9.945851
| 9.817377
| 10.73274
| 9.96138
| 9.75701
| 10.294721
| 10.184629
| 10.099382
| 10.096368
| 9.85189
| 9.651929
| 9.87771
| 10.29799
| 9.743217
|
2111.06861
|
Horatiu Stefan Nastase
|
Horatiu Nastase, Francisco Rojas and Carlos Rubio
|
Celestial IR divergences in general most-subleading-color gluon and
gravity amplitudes
|
30 pages, no figures
| null |
10.1007/JHEP01(2022)136
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Gluon amplitudes at most-subleading order in the $1/N$ expansion share a
remarkable simplicity with graviton amplitudes: collinear divergences are
completely absent in both and, as a consequence, their full IR behavior arises
from soft gluon/graviton exchange among the external states. In this paper we
study the effect of all-loop IR divergences of celestial most-subleading color
gluon amplitudes and their similarities with the celestial gravity case. In
particular, a simple celestial exponentiation formula for the dipole part can
be written. We also analize how this exponentiation is modified by non-dipole
contributions. Finally we also show that, in the Regge limit, the soft factor
satisfies the Knizhnik-Zamolodchikov equation hinting at the possibility that,
in this limit, an effective Wess-Zumino-Witten model would describe the
dynamics of the infrared sector.
|
[
{
"created": "Fri, 12 Nov 2021 18:30:49 GMT",
"version": "v1"
}
] |
2022-02-09
|
[
[
"Nastase",
"Horatiu",
""
],
[
"Rojas",
"Francisco",
""
],
[
"Rubio",
"Carlos",
""
]
] |
Gluon amplitudes at most-subleading order in the $1/N$ expansion share a remarkable simplicity with graviton amplitudes: collinear divergences are completely absent in both and, as a consequence, their full IR behavior arises from soft gluon/graviton exchange among the external states. In this paper we study the effect of all-loop IR divergences of celestial most-subleading color gluon amplitudes and their similarities with the celestial gravity case. In particular, a simple celestial exponentiation formula for the dipole part can be written. We also analize how this exponentiation is modified by non-dipole contributions. Finally we also show that, in the Regge limit, the soft factor satisfies the Knizhnik-Zamolodchikov equation hinting at the possibility that, in this limit, an effective Wess-Zumino-Witten model would describe the dynamics of the infrared sector.
| 9.445771
| 10.157555
| 10.159027
| 9.193772
| 9.804374
| 9.118451
| 9.44199
| 9.388798
| 9.972822
| 11.030868
| 9.94754
| 9.250257
| 9.342176
| 9.188416
| 8.962379
| 9.463056
| 9.17854
| 9.19063
| 9.191956
| 9.556275
| 9.13363
|
hep-th/9701011
|
Stephen Fletcher Hewson
|
S. Hewson
|
Generalised supersymmetry and p-brane actions
|
29 pages, LaTex, no figures. Errors in degrees of freedom counting
corrected, leading to altered brane scan
|
Nucl.Phys. B501 (1997) 445-468
|
10.1016/S0550-3213(97)00370-2
|
DAMTP-R-97-01
|
hep-th
| null |
We investigate the most general N=1 graded extension of the Poincare algebra,
and find the corresponding supersymmetry transformations and the associated
superspaces. We find that the supersymmetry for which {Q,Q} = P is not special,
and in fact must be treated democratically with a whole class of
supersymmetries. We show that there are two distinct types of grading, and a
new class of general spinors is defined. The associated superspaces are shown
to be either of the usual type, or flat with no torsion. p-branes are discussed
in these general superspaces and twelve dimensions emerges as maximal. New
types of brane are discovered which could explain many features of the standard
p-brane theories.
|
[
{
"created": "Sat, 4 Jan 1997 21:55:00 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Mar 1997 11:52:28 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Hewson",
"S.",
""
]
] |
We investigate the most general N=1 graded extension of the Poincare algebra, and find the corresponding supersymmetry transformations and the associated superspaces. We find that the supersymmetry for which {Q,Q} = P is not special, and in fact must be treated democratically with a whole class of supersymmetries. We show that there are two distinct types of grading, and a new class of general spinors is defined. The associated superspaces are shown to be either of the usual type, or flat with no torsion. p-branes are discussed in these general superspaces and twelve dimensions emerges as maximal. New types of brane are discovered which could explain many features of the standard p-brane theories.
| 13.083201
| 13.453241
| 12.421425
| 12.11308
| 12.838915
| 12.389239
| 12.178927
| 12.45917
| 11.502071
| 12.539443
| 11.714352
| 12.204781
| 12.672153
| 11.658753
| 11.91349
| 11.850563
| 12.549248
| 12.044009
| 11.92087
| 12.335199
| 11.918621
|
hep-th/0302053
|
Saharian
|
A. A. Saharian, M. R. Setare
|
Casimir densities for a spherical shell in the global monopole
background
|
19 pages, 4 figures, discussion of zeros is added, accepted for
publication in Classical and Quantum Gravity
|
Class.Quant.Grav. 20 (2003) 3765-3782
|
10.1088/0264-9381/20/16/315
| null |
hep-th astro-ph gr-qc quant-ph
| null |
We investigate the vacuum expectation values for the energy-momentum tensor
of a massive scalar field with general curvature coupling and obeying the Robin
boundary condition on a spherical shell in the $D+1$-dimensional global
monopole background. The expressions are derived for the Wightman function, the
vacuum expectation values of the field square, the vacuum energy density,
radial and azimuthal stress components in both regions inside and outside the
shell. A regularization procedure is carried out by making use of the
generalized Abel-Plana formula for the series over zeros of cylinder functions.
This formula allows us to extract from the vacuum expectation values the parts
due to the global monopole gravitational field in the situation without a
boundary, and to present the boundary induced parts in terms of exponentially
convergent integrals, useful, in particular, for numerical calculations. The
asymptotic behavior of the vacuum densities is investigated near the sphere
surface and at large distances. We show that for small values of the parameter
describing the solid angle deficit in global monopole geometry the boundary
induced vacuum stresses are strongly anisotropic.
|
[
{
"created": "Sat, 8 Feb 2003 07:02:43 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Jun 2003 10:01:07 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Saharian",
"A. A.",
""
],
[
"Setare",
"M. R.",
""
]
] |
We investigate the vacuum expectation values for the energy-momentum tensor of a massive scalar field with general curvature coupling and obeying the Robin boundary condition on a spherical shell in the $D+1$-dimensional global monopole background. The expressions are derived for the Wightman function, the vacuum expectation values of the field square, the vacuum energy density, radial and azimuthal stress components in both regions inside and outside the shell. A regularization procedure is carried out by making use of the generalized Abel-Plana formula for the series over zeros of cylinder functions. This formula allows us to extract from the vacuum expectation values the parts due to the global monopole gravitational field in the situation without a boundary, and to present the boundary induced parts in terms of exponentially convergent integrals, useful, in particular, for numerical calculations. The asymptotic behavior of the vacuum densities is investigated near the sphere surface and at large distances. We show that for small values of the parameter describing the solid angle deficit in global monopole geometry the boundary induced vacuum stresses are strongly anisotropic.
| 5.563752
| 2.944608
| 7.022747
| 3.516411
| 3.489532
| 2.976204
| 3.150826
| 3.266607
| 3.739641
| 7.021388
| 3.546663
| 4.728093
| 6.13763
| 5.054991
| 4.681177
| 4.62904
| 4.484196
| 4.86077
| 4.926834
| 6.319909
| 4.801785
|
1912.04773
|
Paul K. Townsend
|
Paul K. Townsend
|
Manifestly Lorentz invariant chiral boson action
|
5 pp. Further minor corrections to V3 in V5
|
Phys. Rev. Lett. 124, 101604 (2020)
|
10.1103/PhysRevLett.124.101604
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A manifestly Lorentz invariant action is found for the Floreanini-Jackiw
chiral boson. The method involves a novel chiral reduction of the phase-space
action for a string, and can be adapted to describe chiral bosons on the
heterotic string worldsheet. A similar manifestly Lorentz invariant action is
found for an entire class of conformal chiral 2k-form electrodynamics in (4k+2)
dimensions which includes the Floreanini-Jackiw theory as the k=0$ case.
|
[
{
"created": "Tue, 10 Dec 2019 15:39:54 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Dec 2019 11:48:34 GMT",
"version": "v2"
},
{
"created": "Fri, 21 Feb 2020 09:10:46 GMT",
"version": "v3"
},
{
"created": "Thu, 27 Feb 2020 11:05:26 GMT",
"version": "v4"
},
{
"created": "Fri, 6 Mar 2020 22:08:11 GMT",
"version": "v5"
}
] |
2020-03-18
|
[
[
"Townsend",
"Paul K.",
""
]
] |
A manifestly Lorentz invariant action is found for the Floreanini-Jackiw chiral boson. The method involves a novel chiral reduction of the phase-space action for a string, and can be adapted to describe chiral bosons on the heterotic string worldsheet. A similar manifestly Lorentz invariant action is found for an entire class of conformal chiral 2k-form electrodynamics in (4k+2) dimensions which includes the Floreanini-Jackiw theory as the k=0$ case.
| 7.699378
| 7.133115
| 8.124125
| 7.035546
| 7.012642
| 6.888953
| 7.105713
| 6.885405
| 7.12244
| 8.398829
| 6.901602
| 7.254423
| 7.609152
| 7.203453
| 7.336502
| 7.084454
| 7.040865
| 7.379275
| 7.155898
| 7.948322
| 7.293808
|
hep-th/0702162
|
Andrew A. Semenov
|
A.A. Semenov, C.V. Usenko, B.I. Lev
|
Positive-definite states of a Klein-Gordon type particle
|
10 pages
|
Phys.Lett.A372:4180-4183,2008
|
10.1016/j.physleta.2008.03.052
| null |
hep-th math-ph math.MP quant-ph
| null |
A possible way for the consistent probability interpretation of the
Klein-Gordon equation is proposed. It is assumed that some states of a scalar
charged particle cannot be physically realized. The rest of quantum states are
proven to have positive-definite probability distributions.
|
[
{
"created": "Tue, 20 Feb 2007 14:09:11 GMT",
"version": "v1"
},
{
"created": "Sun, 9 Dec 2007 17:37:41 GMT",
"version": "v2"
},
{
"created": "Thu, 8 May 2008 19:17:18 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Semenov",
"A. A.",
""
],
[
"Usenko",
"C. V.",
""
],
[
"Lev",
"B. I.",
""
]
] |
A possible way for the consistent probability interpretation of the Klein-Gordon equation is proposed. It is assumed that some states of a scalar charged particle cannot be physically realized. The rest of quantum states are proven to have positive-definite probability distributions.
| 14.836663
| 13.100567
| 13.292766
| 11.814609
| 14.13168
| 13.007559
| 13.353551
| 12.540195
| 14.798837
| 13.161201
| 13.763192
| 12.9554
| 14.198293
| 13.481278
| 13.112415
| 13.189875
| 13.270258
| 13.397309
| 14.286396
| 13.446676
| 13.474369
|
hep-th/9710119
|
Hong Lu
|
E. Cremmer, B. Julia, H. Lu and C.N. Pope
|
Dualisation of Dualities, I
|
Latex, 82 pages, minor corrections and references added
|
Nucl.Phys.B523:73-144,1998
|
10.1016/S0550-3213(98)00136-9
|
CTP TAMU-27/97, LPTENS-97/27, SISSARef-132/97/EP
|
hep-th
| null |
We analyse the global (rigid) symmetries that are realised on the bosonic
fields of the various supergravity actions obtained from eleven-dimensional
supergravity by toroidal compactification followed by the dualisation of some
subset of fields. In particular, we show how the global symmetries of the
action can be affected by the choice of this subset. This phenomenon occurs
even with the global symmetries of the equations of motion. A striking
regularity is exhibited by the series of theories obtained respectively without
any dualisation, with the dualisation of only the Ramond-Ramond fields of the
type IIA theory, with full dualisation to lowest degree forms, and finally for
certain inverse dualisations (increasing the degrees of some forms) to give the
type IIB series. These theories may be called the GL_A, D, E and GL_B series
respectively. It turns out that the scalar Lagrangians of the E series are
sigma models on the symmetric spaces K(E_{11-D})\backslash E_{11-D} (where K(G)
is the maximal compact subgroup of G) and the other three series lead to models
on homogeneous spaces K(G) \backslash G\semi \R^s. These can be understood from
the E series in terms of the deletion of positive roots associated with the
dualised scalars, which implies a group contraction. We also propose a
constrained Lagrangian version of the even dimensional theories exhibiting the
full duality symmetry and begin a systematic analysis of abelian duality
subalgebras.
|
[
{
"created": "Wed, 15 Oct 1997 12:03:53 GMT",
"version": "v1"
},
{
"created": "Sat, 22 Aug 1998 14:33:01 GMT",
"version": "v2"
}
] |
2009-10-07
|
[
[
"Cremmer",
"E.",
""
],
[
"Julia",
"B.",
""
],
[
"Lu",
"H.",
""
],
[
"Pope",
"C. N.",
""
]
] |
We analyse the global (rigid) symmetries that are realised on the bosonic fields of the various supergravity actions obtained from eleven-dimensional supergravity by toroidal compactification followed by the dualisation of some subset of fields. In particular, we show how the global symmetries of the action can be affected by the choice of this subset. This phenomenon occurs even with the global symmetries of the equations of motion. A striking regularity is exhibited by the series of theories obtained respectively without any dualisation, with the dualisation of only the Ramond-Ramond fields of the type IIA theory, with full dualisation to lowest degree forms, and finally for certain inverse dualisations (increasing the degrees of some forms) to give the type IIB series. These theories may be called the GL_A, D, E and GL_B series respectively. It turns out that the scalar Lagrangians of the E series are sigma models on the symmetric spaces K(E_{11-D})\backslash E_{11-D} (where K(G) is the maximal compact subgroup of G) and the other three series lead to models on homogeneous spaces K(G) \backslash G\semi \R^s. These can be understood from the E series in terms of the deletion of positive roots associated with the dualised scalars, which implies a group contraction. We also propose a constrained Lagrangian version of the even dimensional theories exhibiting the full duality symmetry and begin a systematic analysis of abelian duality subalgebras.
| 11.482979
| 11.347485
| 12.823483
| 11.258048
| 12.011018
| 11.865143
| 11.94332
| 11.871521
| 11.389804
| 15.264679
| 10.960687
| 11.355517
| 11.800721
| 11.254709
| 11.14762
| 11.193127
| 10.970347
| 11.347522
| 11.310586
| 12.075689
| 10.992088
|
2008.01729
|
Danilo Artigas
|
Danilo Artigas, Jakub Bilski, Sean Crowe, Jakub Mielczarek, Tomasz
Trze\'sniewski
|
General-relativistic spin system
|
19 pages, 3 figures v2 rewritten parts of Secs. I-III, some
clarifications elsewhere, typos corrected, references added, 1 extra figure
|
Phys. Rev. D 102, 125029 (2020)
|
10.1103/PhysRevD.102.125029
| null |
hep-th cond-mat.str-el gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The models of spin systems defined on Euclidean space provide powerful
machinery for studying a broad range of condensed matter phenomena. While the
non-relativistic effective description is sufficient for most of the
applications, it is interesting to consider special and general relativistic
extensions of such models. Here, we introduce a framework that allows us to
construct theories of continuous spin variables on a curved spacetime. Our
approach takes advantage of the results of the non-linear field space theory,
which shows how to construct compact phase space models, in particular for the
spherical phase space of spin. Following the methodology corresponding to a
bosonization of spin systems into the spin wave representations, we postulate a
representation having the form of the Klein-Gordon field. This representation
is equivalent to the semi-classical version of the well-known
Holstein-Primakoff transformation. The general-relativistic extension of the
spin wave representation is then performed, leading to the
general-relativistically motivated modifications of the Ising model coupled to
a transversal magnetic field. The advantage of our approach is its off-shell
construction, while the popular methods of coupling fermions to general
relativity usually depend on the form of Einstein field equations with matter.
Furthermore, we show equivalence between the considered spin system and the
Dirac-Born-Infeld type scalar field theory with a specific potential, which is
also an example of k-essence theory. Based on this, the cosmological
consequences of the introduced spin field matter content are preliminarily
investigated.
|
[
{
"created": "Tue, 4 Aug 2020 18:00:00 GMT",
"version": "v1"
},
{
"created": "Sat, 5 Dec 2020 08:18:32 GMT",
"version": "v2"
}
] |
2020-12-29
|
[
[
"Artigas",
"Danilo",
""
],
[
"Bilski",
"Jakub",
""
],
[
"Crowe",
"Sean",
""
],
[
"Mielczarek",
"Jakub",
""
],
[
"Trześniewski",
"Tomasz",
""
]
] |
The models of spin systems defined on Euclidean space provide powerful machinery for studying a broad range of condensed matter phenomena. While the non-relativistic effective description is sufficient for most of the applications, it is interesting to consider special and general relativistic extensions of such models. Here, we introduce a framework that allows us to construct theories of continuous spin variables on a curved spacetime. Our approach takes advantage of the results of the non-linear field space theory, which shows how to construct compact phase space models, in particular for the spherical phase space of spin. Following the methodology corresponding to a bosonization of spin systems into the spin wave representations, we postulate a representation having the form of the Klein-Gordon field. This representation is equivalent to the semi-classical version of the well-known Holstein-Primakoff transformation. The general-relativistic extension of the spin wave representation is then performed, leading to the general-relativistically motivated modifications of the Ising model coupled to a transversal magnetic field. The advantage of our approach is its off-shell construction, while the popular methods of coupling fermions to general relativity usually depend on the form of Einstein field equations with matter. Furthermore, we show equivalence between the considered spin system and the Dirac-Born-Infeld type scalar field theory with a specific potential, which is also an example of k-essence theory. Based on this, the cosmological consequences of the introduced spin field matter content are preliminarily investigated.
| 12.054552
| 12.976143
| 12.009763
| 12.103567
| 12.601284
| 12.823646
| 12.858259
| 12.292932
| 12.39183
| 12.969447
| 12.66663
| 12.087528
| 11.802058
| 11.504067
| 11.936851
| 11.807427
| 11.983829
| 11.839075
| 11.632959
| 11.667066
| 11.657523
|
2312.17725
|
Leslaw Rachwal
|
Les{\l}aw Rachwa{\l}, P\'ublio Rwany B. R. do Vale
|
Generalization of conformal Hamada operators
|
60 pages
| null | null | null |
hep-th gr-qc math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
The six-derivative conformal scalar operator was originally found by Hamada
in its critical dimension of spacetime, $d=6$. We generalize this construction
to arbitrary dimensions $d$ by adding new terms cubic in gravitational
curvatures and by changing its coefficients of expansion in various curvature
terms. The consequences of global scale-invariance and of infinitesimal local
conformal transformations are derived for the form of this generalized
operator. The system of linear equations for coefficients is solved giving
explicitly the conformal Hamada operator in any $d$. Some singularities in
construction for dimensions $d=2$ and $d=4$ are noticed. We also prove a
general theorem that a scalar conformal operator with $n$ derivatives in
$d=n-2$ dimensions is impossible to construct. Finally, we compare our explicit
construction with the one that uses conformal covariant derivatives and
conformal curvature tensors. We present new results for operators built with
different orders of conformal covariant derivatives.
|
[
{
"created": "Fri, 29 Dec 2023 18:25:22 GMT",
"version": "v1"
},
{
"created": "Sat, 11 May 2024 21:30:20 GMT",
"version": "v2"
}
] |
2024-05-14
|
[
[
"Rachwał",
"Lesław",
""
],
[
"Vale",
"Públio Rwany B. R. do",
""
]
] |
The six-derivative conformal scalar operator was originally found by Hamada in its critical dimension of spacetime, $d=6$. We generalize this construction to arbitrary dimensions $d$ by adding new terms cubic in gravitational curvatures and by changing its coefficients of expansion in various curvature terms. The consequences of global scale-invariance and of infinitesimal local conformal transformations are derived for the form of this generalized operator. The system of linear equations for coefficients is solved giving explicitly the conformal Hamada operator in any $d$. Some singularities in construction for dimensions $d=2$ and $d=4$ are noticed. We also prove a general theorem that a scalar conformal operator with $n$ derivatives in $d=n-2$ dimensions is impossible to construct. Finally, we compare our explicit construction with the one that uses conformal covariant derivatives and conformal curvature tensors. We present new results for operators built with different orders of conformal covariant derivatives.
| 12.852859
| 12.07943
| 13.271508
| 11.412346
| 12.246337
| 11.752585
| 12.958997
| 11.740005
| 12.556592
| 15.228242
| 11.891044
| 11.58028
| 11.706523
| 11.601802
| 12.143954
| 11.72485
| 11.671881
| 11.511385
| 11.475751
| 11.841025
| 11.755743
|
hep-th/9512118
| null |
Emili Bagan, Martin Lavelle and David McMullan
|
The Physical Propagator of a Slowly Moving Charge
|
10 pages, plain TeX, 1 Figure (uuencoded needs epsfig.sty)
|
Phys.Lett. B370 (1996) 128-134
|
10.1016/0370-2693(96)00049-4
|
UAB-FT-379, PLY-MS-95-08
|
hep-th hep-ph
| null |
We consider an electron which is electromagnetically dressed in such a way
that it is both gauge invariant and that it has the associated electric and
magnetic fields expected of a moving charge. We study the propagator of this
dressed electron and, for small velocities, show explicitly at one loop that at
the natural (on-shell) renormalisation point, $p_0=m$, ${\bold p}= m{\bold v}$,
one can renormalise the propagator multiplicatively. Furthermore the
renormalisation constants are infra-red finite. This shows that the dressing we
use corresponds to a slowly moving, physical asymptotic field.
|
[
{
"created": "Fri, 15 Dec 1995 18:52:40 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Bagan",
"Emili",
""
],
[
"Lavelle",
"Martin",
""
],
[
"McMullan",
"David",
""
]
] |
We consider an electron which is electromagnetically dressed in such a way that it is both gauge invariant and that it has the associated electric and magnetic fields expected of a moving charge. We study the propagator of this dressed electron and, for small velocities, show explicitly at one loop that at the natural (on-shell) renormalisation point, $p_0=m$, ${\bold p}= m{\bold v}$, one can renormalise the propagator multiplicatively. Furthermore the renormalisation constants are infra-red finite. This shows that the dressing we use corresponds to a slowly moving, physical asymptotic field.
| 15.489626
| 17.798359
| 14.722765
| 14.564488
| 13.85577
| 16.383104
| 16.171379
| 14.905888
| 12.906532
| 15.218551
| 13.962434
| 14.487072
| 14.203059
| 14.272975
| 14.304573
| 14.182794
| 14.323195
| 14.454447
| 14.310297
| 14.764409
| 14.398366
|
hep-th/0611222
|
Juan Francisco Zanella
|
J. Zanella, E. Calzetta
|
Renormalization group study of damping in nonequilibrium field theory
|
50 pages, 4 figures, feynmf
| null | null | null |
hep-th cond-mat.other hep-ph
| null |
In this paper we shall study whether dissipation in a $\lambda\phi^{4}$ may
be described, in the long wavelength, low frequency limit, with a simple Ohmic
term $\kappa\dot{\phi}$, as it is usually done, for example, in studies of
defect formation in nonequilibrium phase transitions. We shall obtain an
effective theory for the long wavelength modes through the coarse graining of
shorter wavelengths. We shall implement this coarse graining by iterating a
Wilsonian renormalization group transformation, where infinitesimal momentum
shells are coarse-grained one at a time, on the influence action describing the
dissipative dynamics of the long wavelength modes. To the best of our
knowledge, this is the first application of the nonequilibrium renormalization
group to the calculation of a damping coefficient in quantum field theory.
|
[
{
"created": "Tue, 21 Nov 2006 10:31:46 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Zanella",
"J.",
""
],
[
"Calzetta",
"E.",
""
]
] |
In this paper we shall study whether dissipation in a $\lambda\phi^{4}$ may be described, in the long wavelength, low frequency limit, with a simple Ohmic term $\kappa\dot{\phi}$, as it is usually done, for example, in studies of defect formation in nonequilibrium phase transitions. We shall obtain an effective theory for the long wavelength modes through the coarse graining of shorter wavelengths. We shall implement this coarse graining by iterating a Wilsonian renormalization group transformation, where infinitesimal momentum shells are coarse-grained one at a time, on the influence action describing the dissipative dynamics of the long wavelength modes. To the best of our knowledge, this is the first application of the nonequilibrium renormalization group to the calculation of a damping coefficient in quantum field theory.
| 7.618682
| 7.932541
| 7.160015
| 6.921667
| 7.199533
| 7.489269
| 7.351137
| 7.47462
| 6.95605
| 7.66998
| 7.710268
| 7.387936
| 7.308074
| 7.0151
| 7.075698
| 7.282899
| 7.153884
| 6.850361
| 7.140267
| 7.238631
| 7.213131
|
1602.05631
|
Takuya Kanazawa
|
Takuya Kanazawa
|
Heavy-tailed chiral random matrix theory
|
18 pages, 5 figures
|
JHEP 05 (2016) 166
|
10.1007/JHEP05(2016)166
|
RIKEN-QHP-194
|
hep-th hep-lat math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study an unconventional chiral random matrix model with a heavy-tailed
probabilistic weight. The model is shown to exhibit chiral symmetry breaking
with no bilinear condensate, in analogy to the Stern phase of QCD. We solve the
model analytically and obtain the microscopic spectral density and the smallest
eigenvalue distribution for an arbitrary number of flavors and arbitrary quark
masses. Exotic behaviors such as non-decoupling of heavy flavors and a
power-law tail of the smallest eigenvalue distribution are illustrated.
|
[
{
"created": "Wed, 17 Feb 2016 23:43:11 GMT",
"version": "v1"
}
] |
2016-05-31
|
[
[
"Kanazawa",
"Takuya",
""
]
] |
We study an unconventional chiral random matrix model with a heavy-tailed probabilistic weight. The model is shown to exhibit chiral symmetry breaking with no bilinear condensate, in analogy to the Stern phase of QCD. We solve the model analytically and obtain the microscopic spectral density and the smallest eigenvalue distribution for an arbitrary number of flavors and arbitrary quark masses. Exotic behaviors such as non-decoupling of heavy flavors and a power-law tail of the smallest eigenvalue distribution are illustrated.
| 8.755858
| 7.472266
| 8.864286
| 8.176869
| 8.930986
| 8.855053
| 8.42794
| 8.054792
| 7.716458
| 9.096728
| 8.269682
| 8.592138
| 8.681759
| 8.125204
| 8.27567
| 8.352693
| 8.665449
| 8.566758
| 8.197327
| 8.802801
| 8.130857
|
hep-th/0105066
|
Keshav Dasgupta
|
Keshav Dasgupta, Kyungho Oh, Radu Tatar
|
Geometric Transition, Large N Dualities and MQCD Dynamics
|
18 pages, no figures, Latex; v2: a paragraph added at the end of
section 3 and a reference corrected. No other changes; v3: some comments
added at the begining of sec. 6 and references updated. Final version to
appear in Nucl. Phys. B
|
Nucl.Phys. B610 (2001) 331-346
|
10.1016/S0550-3213(01)00296-6
|
HUTP-01/A022, HU-EP-01/20
|
hep-th
| null |
We study Vafa's geometric transition from a brane setup in M-theory. In this
transition D5 branes wrapped on P^1 cycles of a resolved conifold disappear and
are replaced by fluxes on a deformed conifold. In the limit of small sized P^1,
we describe this mechanism as a transition from curved M5 branes to plane M5
branes which replaces SU(N) MQCD by U(1) theories on the bulk. This agrees with
the results expected from the geometric transition. We also discuss the
reduction to ten dimensions and a brane creation mechanism in the presence of
fluxes.
|
[
{
"created": "Tue, 8 May 2001 16:22:36 GMT",
"version": "v1"
},
{
"created": "Fri, 18 May 2001 05:21:54 GMT",
"version": "v2"
},
{
"created": "Fri, 8 Jun 2001 17:20:03 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Dasgupta",
"Keshav",
""
],
[
"Oh",
"Kyungho",
""
],
[
"Tatar",
"Radu",
""
]
] |
We study Vafa's geometric transition from a brane setup in M-theory. In this transition D5 branes wrapped on P^1 cycles of a resolved conifold disappear and are replaced by fluxes on a deformed conifold. In the limit of small sized P^1, we describe this mechanism as a transition from curved M5 branes to plane M5 branes which replaces SU(N) MQCD by U(1) theories on the bulk. This agrees with the results expected from the geometric transition. We also discuss the reduction to ten dimensions and a brane creation mechanism in the presence of fluxes.
| 11.469029
| 10.417616
| 12.554105
| 10.480338
| 11.686576
| 11.230764
| 10.689467
| 9.855974
| 10.531124
| 13.356964
| 9.985936
| 10.469821
| 11.684846
| 10.993115
| 10.946338
| 10.390603
| 10.907936
| 10.266472
| 10.627277
| 11.81591
| 10.399096
|
1906.07417
|
Urs Schreiber
|
Domenico Fiorenza, Hisham Sati, Urs Schreiber
|
Twisted Cohomotopy implies level quantization of the full 6d Wess-Zumino
term of the M5-brane
|
22 pages; v2 fixes a missing theta7-summand in intermediate formulas
and has two remarks added, for clarification; v3 fixes typos and makes the
slicing over the homotopy fiber space of chi_8 more explicit
|
Comm. Math. Phys. 2020
|
10.1007/s00220-021-03951-0
| null |
hep-th math-ph math.AT math.DG math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The full 6d Hopf-Wess-Zumino term in the action functional for the M5-brane
is anomalous as traditionally defined. What has been missing is a condition
implying the higher analogue of level quantization familiar from the 2d
Wess-Zumino term. We prove that the anomaly cancellation condition is implied
by the hypothesis that the C-field is charge-quantized in twisted Cohomotopy
theory. The proof follows by a twisted/parametrized generalization of the Hopf
invariant, after identifying the full 6d Hopf-Wess-Zumino term with a twisted
homotopy Whitehead integral formula, which we establish.
|
[
{
"created": "Tue, 18 Jun 2019 07:42:02 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Jan 2020 16:35:47 GMT",
"version": "v2"
},
{
"created": "Fri, 9 Oct 2020 08:38:27 GMT",
"version": "v3"
}
] |
2021-04-21
|
[
[
"Fiorenza",
"Domenico",
""
],
[
"Sati",
"Hisham",
""
],
[
"Schreiber",
"Urs",
""
]
] |
The full 6d Hopf-Wess-Zumino term in the action functional for the M5-brane is anomalous as traditionally defined. What has been missing is a condition implying the higher analogue of level quantization familiar from the 2d Wess-Zumino term. We prove that the anomaly cancellation condition is implied by the hypothesis that the C-field is charge-quantized in twisted Cohomotopy theory. The proof follows by a twisted/parametrized generalization of the Hopf invariant, after identifying the full 6d Hopf-Wess-Zumino term with a twisted homotopy Whitehead integral formula, which we establish.
| 6.494048
| 9.217721
| 11.288591
| 9.400767
| 10.681659
| 9.220046
| 10.078482
| 10.836866
| 9.980457
| 14.41083
| 10.136072
| 8.695114
| 10.408924
| 8.317807
| 8.539768
| 8.391261
| 9.031357
| 9.183375
| 9.486157
| 9.758234
| 8.580486
|
hep-th/0602077
|
Ion I. Cot?escu
|
Ion I. Cot\u{a}escu, Radu Racoceanu and Cosmin Crucean
|
Remarks on the spherical waves of the Dirac field on de Sitter spacetime
|
7 pages, no figures
|
Mod.Phys.Lett.A21:1313-1318,2006
|
10.1142/S0217732306020044
| null |
hep-th
| null |
The Shishkin's solutions of the Dirac equation in spherical moving frames of
the de Sitter spacetime are investigated pointing out the set of commuting
operators whose eigenvalues determine the integration constants. It is shown
that these depend on the usual angular quantum numbers and, in addition, on the
value of the scalar momentum. With these elements a new result is obtained
finding the system of solutions normalized (in generalized sense) in the scale
of scalar momentum.
|
[
{
"created": "Wed, 8 Feb 2006 10:19:40 GMT",
"version": "v1"
}
] |
2010-11-11
|
[
[
"Cotăescu",
"Ion I.",
""
],
[
"Racoceanu",
"Radu",
""
],
[
"Crucean",
"Cosmin",
""
]
] |
The Shishkin's solutions of the Dirac equation in spherical moving frames of the de Sitter spacetime are investigated pointing out the set of commuting operators whose eigenvalues determine the integration constants. It is shown that these depend on the usual angular quantum numbers and, in addition, on the value of the scalar momentum. With these elements a new result is obtained finding the system of solutions normalized (in generalized sense) in the scale of scalar momentum.
| 22.67207
| 26.14818
| 22.511709
| 21.220873
| 20.393581
| 23.351009
| 26.040197
| 22.902037
| 24.043333
| 25.467409
| 21.344028
| 20.733208
| 21.075329
| 21.13073
| 20.770874
| 21.210888
| 20.239349
| 20.714787
| 20.526991
| 20.977419
| 22.739365
|
hep-th/0212150
|
Johannes Walcher
|
A. Buchel, J. Walcher
|
The Tachyon does Matter
|
8 pages, Talk given at 35th Symposium Ahrenshoop, Contribution to the
Proceedings
|
Fortsch.Phys.51:885-891,2003
|
10.1002/prop.200310112
| null |
hep-th
| null |
We review the concept of S-branes introduced by Gutperle and Strominger
hep-th/0202210. Using the effective spacetime description of the rolling
tachyon worldsheets discussed by Sen, we analyze the possibility that the
gravitational backreaction of tachyon matter is important in the time-dependent
process. We show that this is indeed the case in the example of the S0-brane in
4-dimensional Einstein-Maxwell theory. This talk is based on hep-th/0207235.
|
[
{
"created": "Thu, 12 Dec 2002 22:05:08 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Buchel",
"A.",
""
],
[
"Walcher",
"J.",
""
]
] |
We review the concept of S-branes introduced by Gutperle and Strominger hep-th/0202210. Using the effective spacetime description of the rolling tachyon worldsheets discussed by Sen, we analyze the possibility that the gravitational backreaction of tachyon matter is important in the time-dependent process. We show that this is indeed the case in the example of the S0-brane in 4-dimensional Einstein-Maxwell theory. This talk is based on hep-th/0207235.
| 9.18299
| 10.343066
| 10.89738
| 8.813627
| 9.643143
| 10.620067
| 9.52304
| 8.150002
| 8.079265
| 10.962431
| 9.170495
| 8.533569
| 8.964569
| 8.351886
| 8.197325
| 8.261886
| 8.146266
| 8.245979
| 8.333077
| 8.977999
| 7.881222
|
hep-th/0702066
|
Vladimir Miransky
|
Alex Buchel, Junji Jia, V.A.Miransky
|
Dynamical stabilization of runaway potentials and landscape of vacua at
finite density
|
24 pages, LaTeX; v.3: to match Nucl.Phys.B version
|
Nucl.Phys.B772:323-339,2007
|
10.1016/j.nuclphysb.2007.03.009
|
UWO-TH-07/05
|
hep-th cond-mat.supr-con hep-ph
| null |
We study a SU(2) gauge theory with a classical complex modulus. Introducing a
chemical potential for a conserved modulus hypercharge causes it to become
unstable and start condensing. We show that the modulus condensation in turn
generates homogeneous but anisotropic non-abelian field strength condensates.
The existence of a stable vacuum at the end point of the condensation process
depends on a modulus representation under the gauge group. For a modulus in the
fundamental representation, the global vacuum of the theory is a state both
with the rotational symmetry and the electromagnetic U(1) being spontaneously
broken. In other words, the system describes an anisotropic superconducting
medium. We further explore the landscape of vacua of this theory and identify
metastable vacua with an abnormal number of Nambu-Goldstone bosons. The SO(2)
symmetry of these vacua corresponds to locking gauge, flavor, and spin degrees
of freedom. There are also metastable SO(3) rotationally invariant vacua. For a
modulus in the adjoint representation, we show that the theory does not have
stable vacua with homogeneous anisotropic non-abelian field strength
condensates, although there are metastable vacua. The reason of that is
connected with a larger number of the physical components of the modulus in the
case of the adjoint representation as compared to the fundamental one.
|
[
{
"created": "Fri, 9 Feb 2007 09:06:36 GMT",
"version": "v1"
},
{
"created": "Sat, 10 Feb 2007 01:01:24 GMT",
"version": "v2"
},
{
"created": "Mon, 7 May 2007 22:36:13 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Buchel",
"Alex",
""
],
[
"Jia",
"Junji",
""
],
[
"Miransky",
"V. A.",
""
]
] |
We study a SU(2) gauge theory with a classical complex modulus. Introducing a chemical potential for a conserved modulus hypercharge causes it to become unstable and start condensing. We show that the modulus condensation in turn generates homogeneous but anisotropic non-abelian field strength condensates. The existence of a stable vacuum at the end point of the condensation process depends on a modulus representation under the gauge group. For a modulus in the fundamental representation, the global vacuum of the theory is a state both with the rotational symmetry and the electromagnetic U(1) being spontaneously broken. In other words, the system describes an anisotropic superconducting medium. We further explore the landscape of vacua of this theory and identify metastable vacua with an abnormal number of Nambu-Goldstone bosons. The SO(2) symmetry of these vacua corresponds to locking gauge, flavor, and spin degrees of freedom. There are also metastable SO(3) rotationally invariant vacua. For a modulus in the adjoint representation, we show that the theory does not have stable vacua with homogeneous anisotropic non-abelian field strength condensates, although there are metastable vacua. The reason of that is connected with a larger number of the physical components of the modulus in the case of the adjoint representation as compared to the fundamental one.
| 8.142062
| 8.33367
| 8.123103
| 7.791605
| 8.345438
| 8.385212
| 8.375457
| 7.521856
| 8.145891
| 8.758291
| 8.324541
| 7.840296
| 8.163449
| 7.766019
| 7.824755
| 7.88606
| 8.140748
| 7.905013
| 7.914397
| 8.039421
| 8.075835
|
hep-th/0401066
|
Vasilis Niarchos
|
Vasilis Niarchos
|
Notes on Tachyon Effective Actions and Veneziano Amplitudes
|
harvmac, 31 pages, 15 figures; v2 minor text modifications
|
Phys.Rev. D69 (2004) 106009
|
10.1103/PhysRevD.69.106009
| null |
hep-th
| null |
In a previous paper (hep-th/0304045) it has been argued that tachyonic
Dirac-Born-Infeld (DBI) actions can be obtained from open string theory in a
limit, which generalizes the usual massless DBI limit. In the present note we
review this construction focusing on a key property of the proposed tachyon
effective actions: how they reproduce appropriate Veneziano amplitudes in a
suitably defined kinematical region. Possible extensions and interesting open
problems are briefly discussed.
|
[
{
"created": "Mon, 12 Jan 2004 19:21:15 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Jan 2004 16:23:42 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Niarchos",
"Vasilis",
""
]
] |
In a previous paper (hep-th/0304045) it has been argued that tachyonic Dirac-Born-Infeld (DBI) actions can be obtained from open string theory in a limit, which generalizes the usual massless DBI limit. In the present note we review this construction focusing on a key property of the proposed tachyon effective actions: how they reproduce appropriate Veneziano amplitudes in a suitably defined kinematical region. Possible extensions and interesting open problems are briefly discussed.
| 8.398993
| 7.654027
| 7.853248
| 7.429222
| 7.425626
| 7.297873
| 7.506316
| 7.337063
| 7.029699
| 9.354712
| 7.40385
| 7.303423
| 7.875157
| 7.296882
| 7.394396
| 7.609692
| 7.303646
| 7.130576
| 7.421466
| 7.926075
| 7.115463
|
2406.02067
|
Dijs de Neeling
|
Dijs de Neeling, Diederik Roest, Marcello Seri, Holger Waalkens
|
Bertran\v{d}s Theorem and the Double Copy of Relativistic Field Theories
|
9 pages
| null | null | null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
Which relativistic field theories give rise to Kepler dynamics in the
two-body problem? We consider a class of Hamiltonians that is the unique
relativistic extension of the Kepler problem preserving its so(4) algebra, and
have orbits related through time reparametrisation to orbits of the original
Kepler problem. For three explicit examples, we give a natural interpretation
in terms of spin-0,-1 and -2 interacting field theories in 5D. These are
organically connected via the classical double copy, which therefore preserves
maximal superintegrability.
|
[
{
"created": "Tue, 4 Jun 2024 07:49:41 GMT",
"version": "v1"
}
] |
2024-06-05
|
[
[
"de Neeling",
"Dijs",
""
],
[
"Roest",
"Diederik",
""
],
[
"Seri",
"Marcello",
""
],
[
"Waalkens",
"Holger",
""
]
] |
Which relativistic field theories give rise to Kepler dynamics in the two-body problem? We consider a class of Hamiltonians that is the unique relativistic extension of the Kepler problem preserving its so(4) algebra, and have orbits related through time reparametrisation to orbits of the original Kepler problem. For three explicit examples, we give a natural interpretation in terms of spin-0,-1 and -2 interacting field theories in 5D. These are organically connected via the classical double copy, which therefore preserves maximal superintegrability.
| 21.190048
| 21.366907
| 22.783438
| 18.982548
| 18.519478
| 18.341606
| 21.522562
| 18.072872
| 17.899837
| 22.3577
| 18.573332
| 17.054529
| 19.861452
| 18.292698
| 17.746086
| 17.700769
| 18.013117
| 18.381939
| 17.495329
| 19.317541
| 18.88625
|
1805.12153
|
Ryusuke Jinno
|
Ryusuke Jinno
|
Machine learning for bounce calculation
|
8 pages, 11 figures
| null | null | null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the possibility of using machine learning for the calculation of the
bounce action in quantum tunneling. Adopting supervised learning, we train
neural network to give the bounce action from a given potential. It is found
that, for one-dimensional tunneling, even a simple neural network performs at a
percent level.
|
[
{
"created": "Wed, 30 May 2018 18:00:35 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Jun 2018 14:10:59 GMT",
"version": "v2"
},
{
"created": "Sun, 10 Jun 2018 04:51:38 GMT",
"version": "v3"
}
] |
2018-06-12
|
[
[
"Jinno",
"Ryusuke",
""
]
] |
We study the possibility of using machine learning for the calculation of the bounce action in quantum tunneling. Adopting supervised learning, we train neural network to give the bounce action from a given potential. It is found that, for one-dimensional tunneling, even a simple neural network performs at a percent level.
| 11.417206
| 8.648991
| 9.499189
| 9.350454
| 8.920651
| 8.570375
| 8.875511
| 10.213593
| 9.642421
| 10.971357
| 9.275526
| 10.174558
| 10.36754
| 10.120273
| 9.342723
| 9.802291
| 9.545282
| 10.162505
| 9.669399
| 10.99343
| 9.19379
|
hep-th/0411043
|
Paolo Grinza
|
P. Grinza and B. Ponsot
|
Form factors in the massless coset models su(2)_{k+1} \otimes su(2)_k
/su(2)_{2k+1} - Part I
|
18 pages, 4 eps figures, LaTeX; v2: non-unitary case k=-1 added (this
extra result is not to be found in the published NPB version)
|
Nucl.Phys. B714 (2005) 357-375
|
10.1016/j.nuclphysb.2005.02.004
| null |
hep-th cond-mat.stat-mech math-ph math.MP
| null |
Massless flows between the coset model su(2)_{k+1} \otimes su(2)_k
/su(2)_{2k+1} and the minimal model M_{k+2} are studied from the viewpoint of
form factors. These flows include in particular the flow between the
Tricritical Ising model and the Ising model. Form factors of the trace operator
with an arbitrary number of particles are constructed, and numerical checks on
the central charge are performed with four particles contribution. Large
discrepancies with respect to the exact results are observed in most cases.
|
[
{
"created": "Wed, 3 Nov 2004 11:52:17 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Feb 2005 13:26:49 GMT",
"version": "v2"
}
] |
2010-04-05
|
[
[
"Grinza",
"P.",
""
],
[
"Ponsot",
"B.",
""
]
] |
Massless flows between the coset model su(2)_{k+1} \otimes su(2)_k /su(2)_{2k+1} and the minimal model M_{k+2} are studied from the viewpoint of form factors. These flows include in particular the flow between the Tricritical Ising model and the Ising model. Form factors of the trace operator with an arbitrary number of particles are constructed, and numerical checks on the central charge are performed with four particles contribution. Large discrepancies with respect to the exact results are observed in most cases.
| 8.873829
| 7.903963
| 9.862985
| 7.872035
| 8.184321
| 8.099458
| 7.881831
| 7.956657
| 7.508676
| 11.729859
| 7.231935
| 7.68348
| 8.604273
| 7.655909
| 8.002434
| 7.619862
| 7.49997
| 7.923124
| 7.822528
| 9.097032
| 7.838469
|
hep-th/0204183
|
Ian Kogan
|
A. Gorsky, I.I. Kogan and G. Korchemsky
|
High Energy QCD: Stringy Picture from Hidden Integrability
|
37 pages, 3 figures
|
JHEP 0205:053,2002
|
10.1088/1126-6708/2002/05/053
|
IHES/P/02/21,ITEP-TH-12/02,LPTHE-02-19,LPT-Orsay-02-15,OUTP-02-06
|
hep-th hep-ph nlin.SI
| null |
We discuss the stringy properties of high-energy QCD using its hidden
integrability in the Regge limit and on the light-cone. It is shown that
multi-colour QCD in the Regge limit belongs to the same universality class as
superconformal $\cal{N}$=2 SUSY YM with $N_f=2N_c$ at the strong coupling
orbifold point. The analogy with integrable structure governing the low energy
sector of $\cal{N}$=2 SUSY gauge theories is used to develop the brane picture
for the Regge limit. In this picture the scattering process is described by a
single M2 brane wrapped around the spectral curve of the integrable spin chain
and unifying hadrons and reggeized gluons involved in the process. New
quasiclassical quantization conditions for the complex higher integrals of
motion are suggested which are consistent with the $S-$duality of the
multi-reggeon spectrum. The derivation of the anomalous dimensions of the
lowest twist operators is formulated in terms of the Riemann surfaces
|
[
{
"created": "Mon, 22 Apr 2002 17:01:28 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Gorsky",
"A.",
""
],
[
"Kogan",
"I. I.",
""
],
[
"Korchemsky",
"G.",
""
]
] |
We discuss the stringy properties of high-energy QCD using its hidden integrability in the Regge limit and on the light-cone. It is shown that multi-colour QCD in the Regge limit belongs to the same universality class as superconformal $\cal{N}$=2 SUSY YM with $N_f=2N_c$ at the strong coupling orbifold point. The analogy with integrable structure governing the low energy sector of $\cal{N}$=2 SUSY gauge theories is used to develop the brane picture for the Regge limit. In this picture the scattering process is described by a single M2 brane wrapped around the spectral curve of the integrable spin chain and unifying hadrons and reggeized gluons involved in the process. New quasiclassical quantization conditions for the complex higher integrals of motion are suggested which are consistent with the $S-$duality of the multi-reggeon spectrum. The derivation of the anomalous dimensions of the lowest twist operators is formulated in terms of the Riemann surfaces
| 9.365486
| 9.597032
| 9.975564
| 9.015298
| 9.488718
| 9.711238
| 9.614337
| 10.505813
| 9.080875
| 10.454127
| 9.37229
| 9.45357
| 9.135163
| 8.951221
| 9.255724
| 9.363307
| 9.437962
| 9.102432
| 9.17942
| 9.237692
| 8.970542
|
1102.3423
|
Noriaki Ogawa
|
Tatsuo Azeyanagi, Noriaki Ogawa and Seiji Terashima
|
On Non-Chiral Extension of Kerr/CFT
|
29 pages, LaTeX; v2: minor corrections, references added
|
JHEP 1106:081,2011
|
10.1007/JHEP06(2011)081
|
KUNS-2321, YITP-1121
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss possible non-chiral extension of the Kerr/CFT correspondence. We
first consider the near horizon geometry of an extremal BTZ black hole and
study the asymptotic symmetry. In order to define it properly, we introduce a
regularization and show that the asymptotic symmetry becomes the desirable
non-chiral Virasoro symmetry with the same central charges for both left and
right sectors, which are independent of the regularization parameter. We then
investigate the non-chiral extension for general extremal black holes in the
zero entropy limit. Since the same geometric structure as above emerges in this
limit, we identify non-chiral Virasoro symmetry by a similar procedure. This
observation supports the existence of a hidden non-chiral CFT_2 structure with
the same central charges for both left and right sectors dual to the rotating
black holes.
|
[
{
"created": "Wed, 16 Feb 2011 20:44:43 GMT",
"version": "v1"
},
{
"created": "Sat, 9 Apr 2011 04:44:35 GMT",
"version": "v2"
}
] |
2011-06-24
|
[
[
"Azeyanagi",
"Tatsuo",
""
],
[
"Ogawa",
"Noriaki",
""
],
[
"Terashima",
"Seiji",
""
]
] |
We discuss possible non-chiral extension of the Kerr/CFT correspondence. We first consider the near horizon geometry of an extremal BTZ black hole and study the asymptotic symmetry. In order to define it properly, we introduce a regularization and show that the asymptotic symmetry becomes the desirable non-chiral Virasoro symmetry with the same central charges for both left and right sectors, which are independent of the regularization parameter. We then investigate the non-chiral extension for general extremal black holes in the zero entropy limit. Since the same geometric structure as above emerges in this limit, we identify non-chiral Virasoro symmetry by a similar procedure. This observation supports the existence of a hidden non-chiral CFT_2 structure with the same central charges for both left and right sectors dual to the rotating black holes.
| 8.097571
| 7.751668
| 7.784647
| 7.267438
| 7.541638
| 8.077281
| 7.86698
| 7.700225
| 7.833687
| 8.525094
| 7.470467
| 7.735501
| 8.24719
| 7.948782
| 7.889571
| 7.749161
| 7.731305
| 7.705169
| 7.88467
| 8.484948
| 7.673085
|
hep-th/9502007
|
A. A. Kehagias
|
N.A. Batakis and A.A. Kehagias
|
Anisotropic space-times in homogeneous string cosmology
|
18 pages, Latex, no figures
|
Nucl.Phys. B449 (1995) 248-264
|
10.1016/0550-3213(95)00249-R
|
CERN-TH/95-14
|
hep-th gr-qc
| null |
The dynamics of the early universe may have been profoundly influenced by
spatial anisotropies. A search for such backgrounds in the context of string
cosmology has uncovered the existence of an entire class of (spatatially)
homogeneous but not necessarily isotropic space-times, analogous to the class
of Bianchi-types in general relativity. Configurations with vanishing
cosmological constant but non-vanishing dilaton and antisymmetric field are
explicitly found for all types. This is a new class of solutions, whose
isotropy limits reproduce all known and, further, all possible FRW-type of
models in the string-cosmology context considered. There is always an initial
singularity and no inflation. Other features of the general solutions,
including their behaviour under abelian duality are are also discussed.
|
[
{
"created": "Wed, 1 Feb 1995 16:33:00 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Batakis",
"N. A.",
""
],
[
"Kehagias",
"A. A.",
""
]
] |
The dynamics of the early universe may have been profoundly influenced by spatial anisotropies. A search for such backgrounds in the context of string cosmology has uncovered the existence of an entire class of (spatatially) homogeneous but not necessarily isotropic space-times, analogous to the class of Bianchi-types in general relativity. Configurations with vanishing cosmological constant but non-vanishing dilaton and antisymmetric field are explicitly found for all types. This is a new class of solutions, whose isotropy limits reproduce all known and, further, all possible FRW-type of models in the string-cosmology context considered. There is always an initial singularity and no inflation. Other features of the general solutions, including their behaviour under abelian duality are are also discussed.
| 13.511825
| 14.105184
| 13.704947
| 12.657185
| 13.817989
| 13.319106
| 13.576182
| 12.814678
| 13.779048
| 13.89137
| 12.449745
| 14.090037
| 13.142644
| 13.455936
| 14.246032
| 13.945803
| 13.883437
| 13.529136
| 14.323079
| 13.67102
| 13.327372
|
2408.00866
|
Matthew Buican
|
Mahesh Balasubramanian, Matthew Buican, and Rajath Radhakrishnan
|
On the Classification of Bosonic and Fermionic One-Form Symmetries in
$2+1$d and 't Hooft Anomaly Matching
|
56 pages and 10 figures
| null | null | null |
hep-th cond-mat.str-el math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Motivated by the fundamental role that bosonic and fermionic symmetries play
in physics, we study (non-invertible) one-form symmetries in $2 + 1$d
consisting of topological lines with bosonic and fermionic self-statistics. We
refer to these lines as Bose-Fermi-Braided (BFB) symmetries and argue that they
can be classified. Unlike the case of generic anyonic lines, BFB symmetries are
closely related to groups. In particular, when BFB lines are non-invertible,
they are non-intrinsically non-invertible. Moreover, BFB symmetries are, in a
categorical sense, weakly group theoretical. Using this understanding, we study
invariants of renormalization group flows involving non-topological QFTs with
BFB symmetry.
|
[
{
"created": "Thu, 1 Aug 2024 18:37:24 GMT",
"version": "v1"
}
] |
2024-08-05
|
[
[
"Balasubramanian",
"Mahesh",
""
],
[
"Buican",
"Matthew",
""
],
[
"Radhakrishnan",
"Rajath",
""
]
] |
Motivated by the fundamental role that bosonic and fermionic symmetries play in physics, we study (non-invertible) one-form symmetries in $2 + 1$d consisting of topological lines with bosonic and fermionic self-statistics. We refer to these lines as Bose-Fermi-Braided (BFB) symmetries and argue that they can be classified. Unlike the case of generic anyonic lines, BFB symmetries are closely related to groups. In particular, when BFB lines are non-invertible, they are non-intrinsically non-invertible. Moreover, BFB symmetries are, in a categorical sense, weakly group theoretical. Using this understanding, we study invariants of renormalization group flows involving non-topological QFTs with BFB symmetry.
| 8.546447
| 8.309207
| 10.448625
| 7.801007
| 8.062384
| 8.353208
| 8.256909
| 8.052481
| 8.468749
| 10.427774
| 8.153436
| 8.146755
| 9.283974
| 8.291713
| 8.213451
| 8.330918
| 8.020769
| 8.323118
| 8.330186
| 9.169107
| 7.950731
|
hep-th/9205104
|
J. S. Park
|
Jae-Suk Park
|
Universal Bundle, Generalized Russian Formula and Non-Abelian Anomaly in
Topological Yang-Mills Theory
|
16 pages, harvmac TeX, ESENAT-92-07, (TeXnical and stupid errors are
corrected.)
| null | null | null |
hep-th
| null |
We re-examine the geometry and algebraic structure of BRST's of Topological
Yang-Mills theory based on the universal bundle formalism of Atiyah and Singer.
This enables us to find a natural generalization of the {\it Russian formula
and descent equations\/}, which can be used as algebraic method to find the
non-Abelian anomalies counterparts in Topological Yang-Mills theory. We suggest
that the presence of the non-Abelian anomaly obstructs the proper definition of
Donaldson's invariants.
|
[
{
"created": "Thu, 28 May 1992 20:40:00 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Jul 1992 21:26:00 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Park",
"Jae-Suk",
""
]
] |
We re-examine the geometry and algebraic structure of BRST's of Topological Yang-Mills theory based on the universal bundle formalism of Atiyah and Singer. This enables us to find a natural generalization of the {\it Russian formula and descent equations\/}, which can be used as algebraic method to find the non-Abelian anomalies counterparts in Topological Yang-Mills theory. We suggest that the presence of the non-Abelian anomaly obstructs the proper definition of Donaldson's invariants.
| 14.123576
| 12.338935
| 15.032401
| 12.42878
| 12.405042
| 12.713548
| 13.188013
| 11.92312
| 12.161289
| 16.09411
| 12.69646
| 12.983187
| 14.485839
| 12.72363
| 12.664788
| 13.119445
| 13.508588
| 13.021009
| 13.130817
| 14.20939
| 12.813792
|
0804.2168
|
Aninda Sinha
|
Robert C. Myers, Aninda Sinha
|
The fast life of holographic mesons
|
42 pages, 23 figures, v2: minor changes, references added, v3: minor
changes, references added, final version
|
JHEP 0806:052,2008
|
10.1088/1126-6708/2008/06/052
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use holographic techniques to study meson quasiparticles moving through a
thermal plasma in N=2 super-Yang-Mills theory, with gauge group SU(N_c) and
coupled to N_f flavours of fundamental matter. This holographic approach
reliably describes the system at large N_c, large 't Hooft coupling and
N_f/N_c<<1. The meson states are destabilized by introducing a small quark
density n_q. Spectral functions are used to examine the dispersion relations of
these quasiparticles. In a low-momentum regime, the quasiparticles approach a
limiting velocity which can be significantly less than the speed of light. In
this regime, the widths of the quasiparticles also rise dramatically as their
momentum approaches a critical value q_crit. While the spectral functions do
not display isolated resonances for q>q_crit, the dispersion relations can be
extended into this high-momentum regime by studying the dual quasinormal modes.
A preliminary qualitative analysis of these modes suggests that the group
velocity rises to the speed of light for q>>q_crit.
|
[
{
"created": "Mon, 14 Apr 2008 15:39:49 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Apr 2008 14:27:52 GMT",
"version": "v2"
},
{
"created": "Mon, 9 Jun 2008 14:21:16 GMT",
"version": "v3"
}
] |
2014-11-18
|
[
[
"Myers",
"Robert C.",
""
],
[
"Sinha",
"Aninda",
""
]
] |
We use holographic techniques to study meson quasiparticles moving through a thermal plasma in N=2 super-Yang-Mills theory, with gauge group SU(N_c) and coupled to N_f flavours of fundamental matter. This holographic approach reliably describes the system at large N_c, large 't Hooft coupling and N_f/N_c<<1. The meson states are destabilized by introducing a small quark density n_q. Spectral functions are used to examine the dispersion relations of these quasiparticles. In a low-momentum regime, the quasiparticles approach a limiting velocity which can be significantly less than the speed of light. In this regime, the widths of the quasiparticles also rise dramatically as their momentum approaches a critical value q_crit. While the spectral functions do not display isolated resonances for q>q_crit, the dispersion relations can be extended into this high-momentum regime by studying the dual quasinormal modes. A preliminary qualitative analysis of these modes suggests that the group velocity rises to the speed of light for q>>q_crit.
| 7.407171
| 7.243634
| 8.538787
| 6.988313
| 7.213185
| 7.164484
| 7.354259
| 7.314476
| 7.050452
| 8.44644
| 7.35479
| 7.354537
| 7.603874
| 7.171282
| 7.158197
| 7.359105
| 7.146442
| 7.264364
| 7.087466
| 7.527923
| 7.018632
|
hep-th/9611200
|
Youjin Zhang
|
Boris Dubrovin and Youjin Zhang
|
Extended affine Weyl groups and Frobenius manifolds
|
69 pages, amslatex, some references added, position of Table 1 is
corrected. Revised version for Compositio Mathematica
|
Compositio Mathematica 111 (1998), 167--219
| null |
SISSA Ref. 67/96/FM
|
hep-th
| null |
We define certain extensions of affine Weyl groups (distinct from these
considered by K. Saito [S1] in the theory of extended affine root systems),
prove an analogue of Chevalley theorem for their invariants, and construct a
Frobenius structure on their orbit spaces. This produces solutions $F(t_1, ...,
t_n)$ of WDVV equations of associativity polynomial in $t_1, ..., t_{n-1}, \exp
t_n$.
|
[
{
"created": "Sun, 24 Nov 1996 14:54:38 GMT",
"version": "v1"
},
{
"created": "Wed, 20 May 1998 09:50:20 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Dubrovin",
"Boris",
""
],
[
"Zhang",
"Youjin",
""
]
] |
We define certain extensions of affine Weyl groups (distinct from these considered by K. Saito [S1] in the theory of extended affine root systems), prove an analogue of Chevalley theorem for their invariants, and construct a Frobenius structure on their orbit spaces. This produces solutions $F(t_1, ..., t_n)$ of WDVV equations of associativity polynomial in $t_1, ..., t_{n-1}, \exp t_n$.
| 9.170674
| 12.310435
| 12.16693
| 10.004953
| 12.78234
| 13.49418
| 11.475904
| 11.112065
| 9.962687
| 11.911773
| 10.471671
| 9.710085
| 10.163793
| 9.27289
| 9.551834
| 8.916833
| 10.154596
| 9.857784
| 9.328353
| 9.820345
| 9.290273
|
2407.01136
|
Yuri Makeenko
|
Yuri Makeenko
|
The Nambu-Goto string as higher-derivative Liouville theory
|
5 pages in PRL style; v2: polished
| null | null |
ITEP-TH-16/24
|
hep-th cond-mat.stat-mech hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
I propose a generalization of the Liouville action which corresponds to the
Nambu-Goto string like the usual Liouville action corresponds to the Polyakov
string. The two differ by higher-derivative terms which are negligible
classically but revive quantumly. An equivalence with the four-derivative
action suggests that the Nambu-Goto string in four dimensions can be described
by the (4,3) minimal model analogouslyly to the critical Ising model on a
dynamical lattice. While critical indices are the same as in the usual
Liouville theory, the domain of applicability becomes broader.
|
[
{
"created": "Mon, 1 Jul 2024 09:58:50 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Jul 2024 11:09:00 GMT",
"version": "v2"
}
] |
2024-07-09
|
[
[
"Makeenko",
"Yuri",
""
]
] |
I propose a generalization of the Liouville action which corresponds to the Nambu-Goto string like the usual Liouville action corresponds to the Polyakov string. The two differ by higher-derivative terms which are negligible classically but revive quantumly. An equivalence with the four-derivative action suggests that the Nambu-Goto string in four dimensions can be described by the (4,3) minimal model analogouslyly to the critical Ising model on a dynamical lattice. While critical indices are the same as in the usual Liouville theory, the domain of applicability becomes broader.
| 11.826989
| 10.46902
| 11.949675
| 9.884515
| 11.496681
| 10.631183
| 10.380861
| 10.866542
| 11.253778
| 11.805424
| 9.742422
| 10.311564
| 10.557501
| 10.572113
| 10.650325
| 10.721852
| 10.720291
| 10.73788
| 10.645303
| 10.775641
| 10.630795
|
1312.1350
|
Marco Bochicchio
|
Marco Bochicchio
|
Yang-Mills mass gap, Floer homology, glueball spectrum, and conformal
window in large-N QCD
|
68 pages, latex; some comments on Veneziano limit changed, some typos
fixed
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Morse-Smale-Floer homology associates the critical points of the action
functional of a classical field theory over a manifold to its homology. We
associate to the intersection homology of certain Lagrangian submanifolds of
R^4 the critical points of a quantum effective action of large-N SU(N) YM. For
this purpose we construct in YM a trivial Topological Field Theory defined by
twistor Wilson loops whose v.e.v. is 1 in the large-N limit for any shape of
the loops supported on certain punctured Lagrangian submanifolds. We derive a
new holomorphic loop equation for the twistor Wilson loops, that involves the
change of variables in the YM functional integral from the connection to the
anti-selfdual part of the curvature and the choice of a holomorphic gauge.
Employing the holomorphic loop equation, and viewing Floer homology the other
way around, we associate to arcs asymptotic in both directions to the cusps of
the Lagrangian submanifolds the critical points of an effective action, that
turn out to be surface operators of Z(N) holonomy. At the next-to-leading 1/N
order a certain correlator of surface operators is non-topological and
non-trivial, controls the mass gap of YM theory, and is saturated by an
infinite sum of pure poles of scalar and pseudoscalar glueballs with positive
charge conjugation. It satisfies asymptotically for large momentum fundamental
universal constraints arising from the asymptotic freedom and the
renormalization group. We predict at large-N the ratio of the masses of the two
lower-mass scalar glueballs r=\sqrt 2=1.414, to be compared with the measure in
lattice SU(8) YM by Meyer-Teper r=1.42(11), and with the value implied by
PDG(2014) r=1.397(008). The construction extends to massless Veneziano large-N
limit of QCD, for which we determine the lower edge of the conformal window
N_f/N=5/2 and the corresponding quark-mass anomalous dimension gamma=-4/5.
|
[
{
"created": "Wed, 4 Dec 2013 21:00:23 GMT",
"version": "v1"
},
{
"created": "Wed, 7 May 2014 15:55:11 GMT",
"version": "v2"
},
{
"created": "Wed, 17 Sep 2014 04:12:31 GMT",
"version": "v3"
}
] |
2014-09-18
|
[
[
"Bochicchio",
"Marco",
""
]
] |
Morse-Smale-Floer homology associates the critical points of the action functional of a classical field theory over a manifold to its homology. We associate to the intersection homology of certain Lagrangian submanifolds of R^4 the critical points of a quantum effective action of large-N SU(N) YM. For this purpose we construct in YM a trivial Topological Field Theory defined by twistor Wilson loops whose v.e.v. is 1 in the large-N limit for any shape of the loops supported on certain punctured Lagrangian submanifolds. We derive a new holomorphic loop equation for the twistor Wilson loops, that involves the change of variables in the YM functional integral from the connection to the anti-selfdual part of the curvature and the choice of a holomorphic gauge. Employing the holomorphic loop equation, and viewing Floer homology the other way around, we associate to arcs asymptotic in both directions to the cusps of the Lagrangian submanifolds the critical points of an effective action, that turn out to be surface operators of Z(N) holonomy. At the next-to-leading 1/N order a certain correlator of surface operators is non-topological and non-trivial, controls the mass gap of YM theory, and is saturated by an infinite sum of pure poles of scalar and pseudoscalar glueballs with positive charge conjugation. It satisfies asymptotically for large momentum fundamental universal constraints arising from the asymptotic freedom and the renormalization group. We predict at large-N the ratio of the masses of the two lower-mass scalar glueballs r=\sqrt 2=1.414, to be compared with the measure in lattice SU(8) YM by Meyer-Teper r=1.42(11), and with the value implied by PDG(2014) r=1.397(008). The construction extends to massless Veneziano large-N limit of QCD, for which we determine the lower edge of the conformal window N_f/N=5/2 and the corresponding quark-mass anomalous dimension gamma=-4/5.
| 13.166498
| 13.182565
| 14.637191
| 12.58025
| 13.944972
| 13.004438
| 14.283344
| 13.00673
| 12.343239
| 15.677672
| 13.236685
| 12.35192
| 12.749083
| 12.755415
| 12.52948
| 12.771997
| 12.608044
| 12.626289
| 12.653844
| 12.801355
| 12.78394
|
hep-th/0106237
|
Danny Birmingham
|
Danny Birmingham and Massimiliano Rinaldi
|
Brane World in a Topological Black Hole Bulk
|
Latex, 8 pages, v2: Additional references, to appear in MPLA
|
Mod.Phys.Lett. A16 (2001) 1887-1894
|
10.1142/S0217732301005254
| null |
hep-th
| null |
We consider a static brane in the background of a topological black hole, in
arbitrary dimensions. For hyperbolic horizons, we find a solution only when the
black hole mass assumes its minimum negative value. In this case, the tension
of the brane vanishes, and the brane position coincides with the location of
the horizon. For an elliptic horizon, we show that the massless mode of
Randall-Sundrum is recovered in the limit of large black hole mass.
|
[
{
"created": "Tue, 26 Jun 2001 10:54:18 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Oct 2001 14:49:20 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Birmingham",
"Danny",
""
],
[
"Rinaldi",
"Massimiliano",
""
]
] |
We consider a static brane in the background of a topological black hole, in arbitrary dimensions. For hyperbolic horizons, we find a solution only when the black hole mass assumes its minimum negative value. In this case, the tension of the brane vanishes, and the brane position coincides with the location of the horizon. For an elliptic horizon, we show that the massless mode of Randall-Sundrum is recovered in the limit of large black hole mass.
| 7.178765
| 6.551929
| 6.334241
| 6.271237
| 6.294921
| 6.442504
| 6.462411
| 5.748273
| 6.068801
| 6.692412
| 6.517114
| 6.741024
| 6.781495
| 6.575789
| 6.769763
| 6.756849
| 6.906126
| 6.556262
| 6.393905
| 7.10605
| 6.707567
|
hep-th/0209130
|
Tim Morris
|
Stefano Arnone, Antonio Gatti, Tim R. Morris
|
Towards a manifestly gauge invariant and universal calculus for
Yang-Mills theory
|
LaTeX, 14 pages, 12 figs, merged from talks hep-th/0207154 and
hep-th/0207153, to be published in Acta Physica Slavonica
|
Acta Phys.Slov. 52 (2002) 621-634
| null |
SHEP 02-21
|
hep-th cond-mat hep-lat hep-ph
| null |
A manifestly gauge invariant exact renormalization group for pure SU(N)
Yang-Mills theory is proposed, along with the necessary gauge invariant
regularisation which implements the effective cutoff. The latter is naturally
incorporated by embedding the theory into a spontaneously broken SU(N|N)
super-gauge theory, which guarantees finiteness to all orders in perturbation
theory. The effective action, from which one extracts the physics, can be
computed whilst manifestly preserving gauge invariance at each and every step.
As an example, we give an elegant computation of the one-loop SU(N) Yang-Mills
beta function, for the first time at finite N without any gauge fixing or
ghosts. It is also completely independent of the details put in by hand, e.g.
the choice of covariantisation and the cutoff profile, and, therefore, guides
us to a procedure for streamlined calculations.
|
[
{
"created": "Mon, 16 Sep 2002 16:10:14 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Arnone",
"Stefano",
""
],
[
"Gatti",
"Antonio",
""
],
[
"Morris",
"Tim R.",
""
]
] |
A manifestly gauge invariant exact renormalization group for pure SU(N) Yang-Mills theory is proposed, along with the necessary gauge invariant regularisation which implements the effective cutoff. The latter is naturally incorporated by embedding the theory into a spontaneously broken SU(N|N) super-gauge theory, which guarantees finiteness to all orders in perturbation theory. The effective action, from which one extracts the physics, can be computed whilst manifestly preserving gauge invariance at each and every step. As an example, we give an elegant computation of the one-loop SU(N) Yang-Mills beta function, for the first time at finite N without any gauge fixing or ghosts. It is also completely independent of the details put in by hand, e.g. the choice of covariantisation and the cutoff profile, and, therefore, guides us to a procedure for streamlined calculations.
| 10.177114
| 8.216918
| 12.052959
| 8.373161
| 8.449914
| 8.364974
| 8.017557
| 8.485462
| 8.414204
| 11.451032
| 8.43775
| 9.243174
| 10.352374
| 9.529949
| 9.529862
| 9.375224
| 9.399162
| 9.526589
| 9.904212
| 9.875317
| 9.56955
|
1304.6581
|
Sho Tanaka
|
Sho Tanaka
|
Where Does Black Hole Entropy Lie? Some Remarks on Area-Entropy Law,
Holographic Principle and Noncommutative Space-Time
|
20 pages, punctuation errors corrected and minor modification in
English xplanation. arXiv admin note: substantial text overlap with
arXiv:1102.3448, arXiv:1006.2885, arXiv:0905.1446
|
Eur.Phys.J.Plus(2014)129:11
|
10.1140/epjp/i2014-14011-9
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In confrontation with serious and fundamental problems towards ultimate
theory of quantum gravity and physics of Planck scale, we emphasize the
importance of underlying noncommutative space-time such as Snyder's or Yang's
Lorentz-covariant quantized space-time. The background of Bekenstein-Hawking's
Area-entropy law and Holographic principle is now substantially understood in
terms of {\it Kinematical} Holographic Relation [KHR], which holds in Yang's
quantized space-time as the result of the kinematical reduction of spatial
degrees of freedom caused by its own nature of noncommutative geometry. [KHR]
implies a definite proportional relation, $ n^L_{\rm dof} (V_d^L)= {\cal A}
(V_d^L) / G_d$, between the number of spatial degrees of freedom $n^L_{\rm dof}
(V_d^L)$ inside of any $d-$dimensional spherical volume $V_d^L$ with radius $L
$ and its boundary area ${\cal A} (V_d^L).$ It yields a substantial basis for
our new area-entropy law of black holes and further enables us to connect "The
First Law of Black Hole Mechanics" with "The Thermodynamics of Black Holes,"
towards our final goal: {\it Statistical} and {\it substantial} understanding
of area-entropy law of black holes under a novel concept of noncommutative
quantized space-time.
|
[
{
"created": "Wed, 24 Apr 2013 13:29:40 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Jul 2013 13:10:43 GMT",
"version": "v2"
},
{
"created": "Wed, 17 Jul 2013 05:06:51 GMT",
"version": "v3"
},
{
"created": "Mon, 27 Jan 2014 06:28:13 GMT",
"version": "v4"
}
] |
2014-01-28
|
[
[
"Tanaka",
"Sho",
""
]
] |
In confrontation with serious and fundamental problems towards ultimate theory of quantum gravity and physics of Planck scale, we emphasize the importance of underlying noncommutative space-time such as Snyder's or Yang's Lorentz-covariant quantized space-time. The background of Bekenstein-Hawking's Area-entropy law and Holographic principle is now substantially understood in terms of {\it Kinematical} Holographic Relation [KHR], which holds in Yang's quantized space-time as the result of the kinematical reduction of spatial degrees of freedom caused by its own nature of noncommutative geometry. [KHR] implies a definite proportional relation, $ n^L_{\rm dof} (V_d^L)= {\cal A} (V_d^L) / G_d$, between the number of spatial degrees of freedom $n^L_{\rm dof} (V_d^L)$ inside of any $d-$dimensional spherical volume $V_d^L$ with radius $L $ and its boundary area ${\cal A} (V_d^L).$ It yields a substantial basis for our new area-entropy law of black holes and further enables us to connect "The First Law of Black Hole Mechanics" with "The Thermodynamics of Black Holes," towards our final goal: {\it Statistical} and {\it substantial} understanding of area-entropy law of black holes under a novel concept of noncommutative quantized space-time.
| 10.142537
| 9.962826
| 10.86918
| 9.823174
| 9.798882
| 9.921696
| 9.766858
| 9.492908
| 9.518032
| 10.314624
| 9.822668
| 9.81112
| 10.164066
| 9.811775
| 9.88078
| 9.822729
| 9.866837
| 10.01322
| 10.005407
| 10.285363
| 9.751977
|
0911.2786
|
Hael Collins
|
Hael Collins
|
Enhancing non-Gaussianities by breaking local Lorentz invariance
|
10 pages, 1 figure; a talk presented at the Invisible Universe
International Conference at the Palais de l'UNESCO, Paris
|
AIP Conf.Proc.1241:551-560,2010
|
10.1063/1.3462684
| null |
hep-th astro-ph.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This talk briefly explains how the breaking of a Lorentz-invariant
description of nature at tiny space-time intervals might affect the
non-Gaussian character of the primordial fluctuations left by inflation. For
example, a model that contains irrelevant operators that only preserve the
spatial symmetries along constant-time surfaces can generate a larger
non-Gaussian component in the pattern of primordial fluctuations than is
ordinarily predicted by inflation. This property can be useful for constraining
models that allow some Lorentz violation at short distances, beyond the
constraints possible from the power spectrum alone.
|
[
{
"created": "Sat, 14 Nov 2009 16:37:41 GMT",
"version": "v1"
}
] |
2014-11-20
|
[
[
"Collins",
"Hael",
""
]
] |
This talk briefly explains how the breaking of a Lorentz-invariant description of nature at tiny space-time intervals might affect the non-Gaussian character of the primordial fluctuations left by inflation. For example, a model that contains irrelevant operators that only preserve the spatial symmetries along constant-time surfaces can generate a larger non-Gaussian component in the pattern of primordial fluctuations than is ordinarily predicted by inflation. This property can be useful for constraining models that allow some Lorentz violation at short distances, beyond the constraints possible from the power spectrum alone.
| 17.063126
| 15.643281
| 14.387091
| 14.434445
| 17.802286
| 17.663254
| 17.423084
| 15.384615
| 15.025084
| 17.656984
| 16.006666
| 15.971758
| 15.326097
| 14.953596
| 15.814443
| 15.571772
| 15.909478
| 15.715867
| 14.894831
| 16.160248
| 15.825011
|
hep-th/9212043
| null |
Ezra Getzler (Department of Mathematics, MIT)
|
Batalin-Vilkovisky algebras and two-dimensional topological field
theories
|
23 pages (Revised in many small ways.)
|
Commun.Math.Phys.159:265-285,1994
|
10.1007/BF02102639
| null |
hep-th
| null |
Batalin-Vilkovisky algebras are a new type of algebraic structure on graded
vector spaces, which first arose in the work of Batalin and Vilkovisky on gauge
fixing in quantum field theory. In this article, we show that there is a
natural structure of a Batalin-Vilkovisky algebra on the cohomology of a
topological field theory in two dimensions.
Lian and Zuckerman have constructed this Batalin-Vilkovisky structure, in the
setting of topological chiral field theories, and shown that the structure is
non-trivial in two-dimensional string theory. Our approach is to use algebraic
topology, whereas their proofs have a more algebraic character.
|
[
{
"created": "Mon, 7 Dec 1992 18:06:28 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Feb 1993 13:37:26 GMT",
"version": "v2"
},
{
"created": "Tue, 4 May 1993 23:21:19 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Getzler",
"Ezra",
"",
"Department of Mathematics, MIT"
]
] |
Batalin-Vilkovisky algebras are a new type of algebraic structure on graded vector spaces, which first arose in the work of Batalin and Vilkovisky on gauge fixing in quantum field theory. In this article, we show that there is a natural structure of a Batalin-Vilkovisky algebra on the cohomology of a topological field theory in two dimensions. Lian and Zuckerman have constructed this Batalin-Vilkovisky structure, in the setting of topological chiral field theories, and shown that the structure is non-trivial in two-dimensional string theory. Our approach is to use algebraic topology, whereas their proofs have a more algebraic character.
| 4.94082
| 5.827668
| 5.577101
| 5.379532
| 5.187551
| 5.528497
| 5.67778
| 5.248028
| 5.399683
| 6.344823
| 5.152691
| 4.800612
| 5.390951
| 5.075878
| 4.766075
| 4.942161
| 4.960485
| 4.905013
| 4.903135
| 5.048343
| 4.915423
|
0908.1865
|
Richard Battye
|
Richard A. Battye, Jonathan A. Pearson, Simon Pike and Paul M.
Sutcliffe
|
Formation and evolution of kinky vortons
| null |
JCAP 0909:039,2009
|
10.1088/1475-7516/2009/09/039
|
DCPT-09/55
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present field theory simulations of a model with Z_2xU(1) symmetry in
(2+1)-dimensions. This model has two discrete vacua, allowing for domain walls,
and also a conserved Noether charge. For initial conditions in which the field
is placed in one of the vacua and given a homogeneous background charge, we
find that the number of walls does not scale in the standard way. We argue that
the Noether charge and current become localized on the walls, forming kinky
vortons, (2+1) dimensional analogues of cosmic vortons. These loops of wall can
be long-lived, or even stable, depending on the precise characteristics. We
suggest that our simulations illustrate a possible mechanism for dynamical
frustration of domain wall networks and that cosmic vortons will form naturally
in U(1)xU(1) models.
|
[
{
"created": "Thu, 13 Aug 2009 10:25:11 GMT",
"version": "v1"
}
] |
2009-11-02
|
[
[
"Battye",
"Richard A.",
""
],
[
"Pearson",
"Jonathan A.",
""
],
[
"Pike",
"Simon",
""
],
[
"Sutcliffe",
"Paul M.",
""
]
] |
We present field theory simulations of a model with Z_2xU(1) symmetry in (2+1)-dimensions. This model has two discrete vacua, allowing for domain walls, and also a conserved Noether charge. For initial conditions in which the field is placed in one of the vacua and given a homogeneous background charge, we find that the number of walls does not scale in the standard way. We argue that the Noether charge and current become localized on the walls, forming kinky vortons, (2+1) dimensional analogues of cosmic vortons. These loops of wall can be long-lived, or even stable, depending on the precise characteristics. We suggest that our simulations illustrate a possible mechanism for dynamical frustration of domain wall networks and that cosmic vortons will form naturally in U(1)xU(1) models.
| 10.165917
| 10.778594
| 10.445748
| 9.914766
| 10.608822
| 10.494164
| 10.490367
| 10.031314
| 9.986197
| 10.948397
| 10.263966
| 10.248364
| 9.994606
| 10.147075
| 9.943754
| 10.058011
| 9.663062
| 9.909969
| 10.064259
| 9.735776
| 10.09575
|
1312.7197
|
Hiroshi Kunitomo
|
Hiroshi Kunitomo
|
The Ramond Sector of Heterotic String Field Theory
|
33 pages, 5 figures, uses PTPTeX.cls, v2:forms of general terms in
EOM and the action are modified, v3:some explanations are improved, one extra
appendix is added, published version, v4:an error is corrected,v5;typos in
appA, v6:typos
| null |
10.1093/ptep/ptu032
|
YITP-13-131
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We attempt to construct the full equations of motion for the Neveu-Schwarz
and the Ramond sectors of the heterotic string field theory. Although they are
non-polynomial also in the Ramond string field $\Psi$, we can construct them
order by order in $\Psi$. Their explicit forms with the gauge transformations
are given up to the next-to-next-to-leading order in $\Psi$. We also determine
a subset of the terms to all orders. By introducing an auxiliary Ramond string
field $\Xi$, we construct a covariant action supplemented with a constraint,
which should be imposed on the equations of motion. We propose the Feynman
rules and show how they reproduce well-known physical four-point amplitudes
with external fermions.
|
[
{
"created": "Fri, 27 Dec 2013 06:13:17 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Jan 2014 09:07:51 GMT",
"version": "v2"
},
{
"created": "Mon, 17 Feb 2014 06:38:29 GMT",
"version": "v3"
},
{
"created": "Fri, 28 Feb 2014 07:45:43 GMT",
"version": "v4"
},
{
"created": "Thu, 6 Mar 2014 08:50:27 GMT",
"version": "v5"
},
{
"created": "Fri, 14 Mar 2014 09:02:33 GMT",
"version": "v6"
}
] |
2014-05-07
|
[
[
"Kunitomo",
"Hiroshi",
""
]
] |
We attempt to construct the full equations of motion for the Neveu-Schwarz and the Ramond sectors of the heterotic string field theory. Although they are non-polynomial also in the Ramond string field $\Psi$, we can construct them order by order in $\Psi$. Their explicit forms with the gauge transformations are given up to the next-to-next-to-leading order in $\Psi$. We also determine a subset of the terms to all orders. By introducing an auxiliary Ramond string field $\Xi$, we construct a covariant action supplemented with a constraint, which should be imposed on the equations of motion. We propose the Feynman rules and show how they reproduce well-known physical four-point amplitudes with external fermions.
| 8.487681
| 7.395137
| 9.176711
| 7.096786
| 7.976214
| 8.406871
| 7.911555
| 7.89031
| 7.214333
| 8.879158
| 7.829193
| 7.877386
| 7.840175
| 7.683914
| 7.850041
| 8.055033
| 7.724322
| 7.6175
| 7.859772
| 8.291884
| 7.752265
|
hep-th/0211245
|
Hiroshi Itoyama
|
H. Itoyama, A. Morozov
|
The Dijkgraaf-Vafa prepotential in the context of general Seiberg-Witten
theory
|
a few changes, references added, typo corrected
|
Nucl.Phys.B657:53-78,2003
|
10.1016/S0550-3213(03)00172-X
|
OCU-PHYS-194, ITEP/TH-57/02
|
hep-th
| null |
We consider the prepotential of Dijkgraaf and Vafa (DV) as one more (and in
fact, singular) example of the Seiberg-Witten (SW) prepotentials and discuss
its properties from this perspective. Most attention is devoted to the issue of
complete system of moduli, which should include not only the sizes of the cuts
(in matrix model interpretation), but also their positions, i.e. the number of
moduli should be almost doubled, as compared to the DV consideration. We
introduce the notion of regularized DV system (not necessarilly related to
matrix model) and discuss the WDVV equations. These definitely hold before
regularization is lifted, but an adequate limiting procedure, preserving all
ingredients of the SW theory, remains to be found.
|
[
{
"created": "Mon, 25 Nov 2002 17:00:30 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Nov 2002 08:28:34 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Itoyama",
"H.",
""
],
[
"Morozov",
"A.",
""
]
] |
We consider the prepotential of Dijkgraaf and Vafa (DV) as one more (and in fact, singular) example of the Seiberg-Witten (SW) prepotentials and discuss its properties from this perspective. Most attention is devoted to the issue of complete system of moduli, which should include not only the sizes of the cuts (in matrix model interpretation), but also their positions, i.e. the number of moduli should be almost doubled, as compared to the DV consideration. We introduce the notion of regularized DV system (not necessarilly related to matrix model) and discuss the WDVV equations. These definitely hold before regularization is lifted, but an adequate limiting procedure, preserving all ingredients of the SW theory, remains to be found.
| 12.987735
| 14.828699
| 16.275877
| 12.743874
| 13.224549
| 13.05901
| 12.02265
| 12.047476
| 12.628638
| 15.138949
| 12.40389
| 12.196042
| 13.146405
| 12.400484
| 12.264722
| 12.205253
| 12.439764
| 12.259475
| 12.30137
| 12.745298
| 12.494075
|
1803.09911
|
Dong-Gang Wang
|
Andrei Linde, Dong-Gang Wang, Yvette Welling, Yusuke Yamada, and Ana
Achucarro
|
Hypernatural inflation
|
25 pages, 8 figures; v2: published version with references added and
discussion extended
|
JCAP 07 (2018) 035
|
10.1088/1475-7516/2018/07/035
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We constructed a model of natural inflation in the context of
$\alpha$-attractor supergravity, in which both the dilaton field and the axion
field are light during inflation, and the inflaton may be a combination of the
two. The T-model version of this theory is defined on the Poincare disk with
radius |Z| = 1. It describes a Mexican hat potential with the flat axion
direction corresponding to a circle of radius |Z| < 1. The axion decay constant
$f_{a}$ in this theory can be exponentially large because of the hyperbolic
geometry of the Poincare disk. Depending on initial conditions, this model may
describe $\alpha$-attractor inflation driven by the radial component of the
inflaton field, natural inflation driven by the axion field, or a sequence of
these two regimes. We also construct the E-model version of this theory, which
has similar properties. In addition, we describe generalized $\alpha$-attractor
models where the potential can be singular at the boundary of the moduli space,
and show that they can provide a simple solution for the problem of initial
conditions for the models with plateau potentials.
|
[
{
"created": "Tue, 27 Mar 2018 06:26:50 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Jul 2018 09:25:39 GMT",
"version": "v2"
}
] |
2018-07-18
|
[
[
"Linde",
"Andrei",
""
],
[
"Wang",
"Dong-Gang",
""
],
[
"Welling",
"Yvette",
""
],
[
"Yamada",
"Yusuke",
""
],
[
"Achucarro",
"Ana",
""
]
] |
We constructed a model of natural inflation in the context of $\alpha$-attractor supergravity, in which both the dilaton field and the axion field are light during inflation, and the inflaton may be a combination of the two. The T-model version of this theory is defined on the Poincare disk with radius |Z| = 1. It describes a Mexican hat potential with the flat axion direction corresponding to a circle of radius |Z| < 1. The axion decay constant $f_{a}$ in this theory can be exponentially large because of the hyperbolic geometry of the Poincare disk. Depending on initial conditions, this model may describe $\alpha$-attractor inflation driven by the radial component of the inflaton field, natural inflation driven by the axion field, or a sequence of these two regimes. We also construct the E-model version of this theory, which has similar properties. In addition, we describe generalized $\alpha$-attractor models where the potential can be singular at the boundary of the moduli space, and show that they can provide a simple solution for the problem of initial conditions for the models with plateau potentials.
| 6.405282
| 6.252071
| 6.851141
| 6.108195
| 6.23741
| 6.217295
| 6.384728
| 6.270833
| 6.225742
| 7.110603
| 5.938065
| 6.196539
| 6.523188
| 6.210582
| 6.317491
| 6.117217
| 6.340022
| 6.268287
| 6.258592
| 6.43862
| 6.168828
|
hep-th/9112066
|
Konstantinos Anagnostopoulos
|
Konstantinos N. Anagnostopoulos, Mark J. Bowick and Albert Schwarz
|
The Solution Space of the Unitary Matrix Model String Equation and the
Sato Grassmannian
|
21 pages
|
Commun.Math.Phys. 148 (1992) 469-486
|
10.1007/BF02096545
| null |
hep-th
| null |
The space of all solutions to the string equation of the symmetric unitary
one-matrix model is determined. It is shown that the string equation is
equivalent to simple conditions on points $V_1$ and $V_2$ in the big cell $\Gr$
of the Sato Grassmannian $Gr$. This is a consequence of a well-defined
continuum limit in which the string equation has the simple form $\lb \cp
,\cq_- \rb =\hbox{\rm 1}$, with $\cp$ and $\cq_-$ $2\times 2$ matrices of
differential operators. These conditions on $V_1$ and $V_2$ yield a simple
system of first order differential equations whose analysis determines the
space of all solutions to the string equation. This geometric formulation leads
directly to the Virasoro constraints $\L_n\,(n\geq 0)$, where $\L_n$ annihilate
the two modified-KdV $\t$-functions whose product gives the partition function
of the Unitary Matrix Model.
|
[
{
"created": "Sat, 21 Dec 1991 03:29:46 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Anagnostopoulos",
"Konstantinos N.",
""
],
[
"Bowick",
"Mark J.",
""
],
[
"Schwarz",
"Albert",
""
]
] |
The space of all solutions to the string equation of the symmetric unitary one-matrix model is determined. It is shown that the string equation is equivalent to simple conditions on points $V_1$ and $V_2$ in the big cell $\Gr$ of the Sato Grassmannian $Gr$. This is a consequence of a well-defined continuum limit in which the string equation has the simple form $\lb \cp ,\cq_- \rb =\hbox{\rm 1}$, with $\cp$ and $\cq_-$ $2\times 2$ matrices of differential operators. These conditions on $V_1$ and $V_2$ yield a simple system of first order differential equations whose analysis determines the space of all solutions to the string equation. This geometric formulation leads directly to the Virasoro constraints $\L_n\,(n\geq 0)$, where $\L_n$ annihilate the two modified-KdV $\t$-functions whose product gives the partition function of the Unitary Matrix Model.
| 8.536574
| 9.001719
| 10.746372
| 8.584569
| 9.211984
| 9.054711
| 9.407769
| 8.532658
| 8.99754
| 10.893787
| 8.947843
| 8.357141
| 8.907597
| 8.374259
| 8.619857
| 8.730755
| 8.223915
| 8.341834
| 8.369032
| 8.683287
| 8.217672
|
0907.2773
|
Matej Pavsic
|
Matej Pavsic
|
Beyond the Relativistic Point Particle: A Reciprocally Invariant System
and its Generalisation
|
15 pages; Revised version, accepted for publication in Physics
Letters B
|
Phys.Lett.B680:526-532,2009
|
10.1016/j.physletb.2009.09.020
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate a reciprocally invariant system proposed by Low and Govaerts
et al., whose action contains both the orthogonal and the symplectic forms and
is invariant under global $O(2,4)\cap Sp(2,4)$ transformations. We find that
the general solution to the classical equations of motion has no linear term in
the evolution parameter, $\tau$, but only the oscillatory terms, and therefore
cannot represent a particle propagating in spacetime. As a remedy, we consider
a generalisation of the action by adopting a procedure similar to that of Bars
et al., who introduced the concept of a $\tau$ derivative that is covariant
under local Sp(2) transformations between the phase space variables
$x^\mu(\tau)$ and $p^\mu (\tau)$. This system, in particular, is similar to a
rigid particle whose action contains the extrinsic curvature of the world line,
which turns out to be helical in spacetime. Another possible generalisation is
the introduction of a symplectic potential proposed by Montesinos. We show how
the latter approach is related to Kaluza-Klein theories and to the concept of
Clifford space, a manifold whose tangent space at any point is Clifford algebra
Cl(8), a promising framework for the unification of particles and forces.
|
[
{
"created": "Thu, 16 Jul 2009 12:46:20 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Sep 2009 12:00:07 GMT",
"version": "v2"
}
] |
2009-10-06
|
[
[
"Pavsic",
"Matej",
""
]
] |
We investigate a reciprocally invariant system proposed by Low and Govaerts et al., whose action contains both the orthogonal and the symplectic forms and is invariant under global $O(2,4)\cap Sp(2,4)$ transformations. We find that the general solution to the classical equations of motion has no linear term in the evolution parameter, $\tau$, but only the oscillatory terms, and therefore cannot represent a particle propagating in spacetime. As a remedy, we consider a generalisation of the action by adopting a procedure similar to that of Bars et al., who introduced the concept of a $\tau$ derivative that is covariant under local Sp(2) transformations between the phase space variables $x^\mu(\tau)$ and $p^\mu (\tau)$. This system, in particular, is similar to a rigid particle whose action contains the extrinsic curvature of the world line, which turns out to be helical in spacetime. Another possible generalisation is the introduction of a symplectic potential proposed by Montesinos. We show how the latter approach is related to Kaluza-Klein theories and to the concept of Clifford space, a manifold whose tangent space at any point is Clifford algebra Cl(8), a promising framework for the unification of particles and forces.
| 10.104883
| 10.076086
| 10.608238
| 9.703465
| 10.851395
| 9.942611
| 10.266785
| 9.804098
| 9.751816
| 11.355011
| 9.698509
| 9.825902
| 10.003261
| 9.723858
| 9.586345
| 9.870507
| 9.758716
| 9.639026
| 9.626967
| 9.905674
| 10.06784
|
1201.2655
|
Rutger H. Boels
|
Rutger H. Boels
|
Three particle superstring amplitudes with massive legs
|
45 pages. v2: typos corrected, references added
| null |
10.1007/JHEP06(2012)026
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
On-shell superspaces and associated spinor helicity techniques give an
efficient formulation of the Ward identities of on-shell supersymmetry for
scattering amplitudes and supply tools to construct their solutions. Based on
these techniques in this paper the general solutions of the Ward identities are
presented for three particle scattering amplitudes with one, two or three
massive legs for simple supersymmetry in ten and eight dimensions. It is shown
in examples how these solutions may be used to obtain concrete amplitudes for
the closed (IIB) and open superstring in a flat background. Explicit results
include all three point amplitudes with one massive leg whose functional form
is shown to be dictated completely by super-Poincare symmetry. The resulting
surprisingly simple series only involves massive superfields labelled by
completely symmetric little group representations. The extension to more
general explicit three and higher point amplitudes in string theory is
initiated. In appendices the field content of the fundamental massive
superfields of the open and closed superstring are listed in terms of the
Dynkin labels of a variety of groups which may be of independent interest.
|
[
{
"created": "Thu, 12 Jan 2012 19:44:39 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Apr 2012 15:28:19 GMT",
"version": "v2"
}
] |
2015-06-03
|
[
[
"Boels",
"Rutger H.",
""
]
] |
On-shell superspaces and associated spinor helicity techniques give an efficient formulation of the Ward identities of on-shell supersymmetry for scattering amplitudes and supply tools to construct their solutions. Based on these techniques in this paper the general solutions of the Ward identities are presented for three particle scattering amplitudes with one, two or three massive legs for simple supersymmetry in ten and eight dimensions. It is shown in examples how these solutions may be used to obtain concrete amplitudes for the closed (IIB) and open superstring in a flat background. Explicit results include all three point amplitudes with one massive leg whose functional form is shown to be dictated completely by super-Poincare symmetry. The resulting surprisingly simple series only involves massive superfields labelled by completely symmetric little group representations. The extension to more general explicit three and higher point amplitudes in string theory is initiated. In appendices the field content of the fundamental massive superfields of the open and closed superstring are listed in terms of the Dynkin labels of a variety of groups which may be of independent interest.
| 13.698018
| 13.208161
| 14.505767
| 11.944807
| 13.273078
| 13.731351
| 12.603852
| 13.342447
| 11.902052
| 14.397086
| 11.71765
| 11.909951
| 12.824697
| 12.378185
| 12.430704
| 12.188807
| 12.268088
| 12.499625
| 12.253203
| 13.887681
| 12.7604
|
hep-th/9712012
|
Micha Berkooz
|
Micha Berkooz (IAS, Princeton)
|
String Dualities from Matrix Theory: A Summary
|
7 pages, Talk given at STRINGS'97
|
Nucl.Phys.Proc.Suppl. 68 (1998) 374-380
|
10.1016/S0920-5632(98)00172-8
| null |
hep-th
| null |
I review the appearance, within Matrix theory, of the $SL(5,Z)$ U-duality
group of M-theory on $T^4$, and the duality between M-theory on K3 and the
Heterotic string on $T^3$. In both cases the duality is geometrical and
manifest.
|
[
{
"created": "Sun, 30 Nov 1997 22:45:20 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Berkooz",
"Micha",
"",
"IAS, Princeton"
]
] |
I review the appearance, within Matrix theory, of the $SL(5,Z)$ U-duality group of M-theory on $T^4$, and the duality between M-theory on K3 and the Heterotic string on $T^3$. In both cases the duality is geometrical and manifest.
| 8.113771
| 5.644654
| 7.348775
| 5.872906
| 5.218609
| 4.966602
| 4.949305
| 5.1759
| 5.642594
| 8.605186
| 5.481171
| 5.771502
| 7.086053
| 6.110859
| 5.802301
| 5.640538
| 5.673867
| 5.51399
| 6.166026
| 6.505412
| 5.573425
|
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