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2.01k
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float64 2.88
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float64 2.95
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float64 2.99
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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/0008084
|
Mariano Cadoni
|
Mariano Cadoni and Marco Cavaglia'
|
Open strings, 2D gravity and AdS/CFT correspondence
|
22 pages, Typeset using REVTEX
|
Phys.Rev. D63 (2001) 084024
|
10.1103/PhysRevD.63.084024
|
INFNCA-TH0013
|
hep-th
| null |
We present a detailed discussion of the duality between dilaton gravity on
AdS_2 and open strings. The correspondence between the two theories is
established using their symmetries and field theoretical, thermodynamic, and
statistical arguments. We use the dual conformal field theory to describe
two-dimensional black holes. In particular, all the semiclassical features of
the black holes, including the entropy, have a natural interpretation in terms
of the dual microscopic conformal dynamics. The previous results are discussed
in the general framework of the Anti-de Sitter/Conformal Field Theory
dualities.
|
[
{
"created": "Thu, 10 Aug 2000 11:22:24 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Cadoni",
"Mariano",
""
],
[
"Cavaglia'",
"Marco",
""
]
] |
We present a detailed discussion of the duality between dilaton gravity on AdS_2 and open strings. The correspondence between the two theories is established using their symmetries and field theoretical, thermodynamic, and statistical arguments. We use the dual conformal field theory to describe two-dimensional black holes. In particular, all the semiclassical features of the black holes, including the entropy, have a natural interpretation in terms of the dual microscopic conformal dynamics. The previous results are discussed in the general framework of the Anti-de Sitter/Conformal Field Theory dualities.
| 8.989013
| 8.368069
| 8.807265
| 7.933672
| 8.256502
| 7.776329
| 7.723776
| 8.35816
| 7.940367
| 8.590944
| 8.68314
| 8.479884
| 8.438302
| 8.342787
| 8.2091
| 8.225007
| 8.237675
| 8.236159
| 8.080951
| 8.298872
| 8.184265
|
1905.03795
|
Takahiro Uetoko
|
Takahiro Nishinaka and Takahiro Uetoko
|
Argyres-Douglas theories and Liouville Irregular States
|
37 pages, no figures, v2: minor changes
| null |
10.1007/JHEP09(2019)104
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study irregular states of rank-two and three in Liouville theory, based on
an ansatz proposed by D. Gaiotto and J. Teschner. Using these irregular states,
we evaluate asymptotic expansions of irregular conformal blocks corresponding
to the partition functions of $(A_1,A_3)$ and $(A_1,D_4)$ Argyres-Douglas
theories for general $\Omega$-background parameters. In the limit of vanishing
Liouville charge, our result reproduces strong coupling expansions of the
partition functions recently obtained via the Painlev\'e/gauge correspondence.
This suggests that the irregular conformal block for one irregular singularity
of rank 3 on sphere is also related to Painlev\'e II. We also find that our
partition functions are invariant under the action of the Weyl group of flavor
symmetries once four and two-dimensional parameters are correctly identified.
We finally propose a generalization of this parameter identification to general
irregular states of integer rank.
|
[
{
"created": "Thu, 9 May 2019 18:00:10 GMT",
"version": "v1"
},
{
"created": "Thu, 23 May 2019 04:52:10 GMT",
"version": "v2"
}
] |
2019-10-02
|
[
[
"Nishinaka",
"Takahiro",
""
],
[
"Uetoko",
"Takahiro",
""
]
] |
We study irregular states of rank-two and three in Liouville theory, based on an ansatz proposed by D. Gaiotto and J. Teschner. Using these irregular states, we evaluate asymptotic expansions of irregular conformal blocks corresponding to the partition functions of $(A_1,A_3)$ and $(A_1,D_4)$ Argyres-Douglas theories for general $\Omega$-background parameters. In the limit of vanishing Liouville charge, our result reproduces strong coupling expansions of the partition functions recently obtained via the Painlev\'e/gauge correspondence. This suggests that the irregular conformal block for one irregular singularity of rank 3 on sphere is also related to Painlev\'e II. We also find that our partition functions are invariant under the action of the Weyl group of flavor symmetries once four and two-dimensional parameters are correctly identified. We finally propose a generalization of this parameter identification to general irregular states of integer rank.
| 9.525111
| 8.750597
| 10.328321
| 9.10604
| 8.427413
| 9.05906
| 8.686152
| 7.978075
| 8.049954
| 12.435708
| 8.510208
| 8.567395
| 9.216832
| 8.527886
| 9.048638
| 8.675756
| 8.831576
| 8.411482
| 8.523311
| 9.378539
| 8.632818
|
2404.08346
|
Reinoud Slagter
|
Reinoud Jan Slagter
|
New instanton on a warped Kerr spacetime
|
6 pages. 11 figures. Submitted to journal-- review V5: remark added
below Eq.4
| null | null | null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We find an exact time-dependent instanton solution on a vacuum Kerr-like
warped spacetime in conformal dilaton gravity. Remarkably, the metric solution
results from a first-order PDE, allowing the connection with self-duality. The
antipodal boundary condition on the hypersurface of a Klein bottle $\sim
\mathbb{C}^1\times\mathbb{C}^1$ is applied to describe the Hawking particles.
We used the Hopf fibration to get $S^2$ as the black hole horizon, where the
centrix is not in a torus but in the Klein bottle. The twist fits very well
with the antipodal identification of the point on the horizon. No "cut and
past" is necessary, so the Hawing particles remain pure without instantaneous
information transport. A local observer passing the horizon will not notice a
central singularity in suitable coordinates. The black hole paradoxes are also
revisited in our new black hole model. A connection is made with the geomeric
quantization of $\mathbb{C}^1\times\mathbb{C}^1\sim S^3$, by considering the
symplectic 2-form. The model can be easily extended to the non-vacuum situation
by including a scalar field. Both the dilaton and the scalar field can be
treated as quantum fields when approaching the Planck area.
|
[
{
"created": "Fri, 12 Apr 2024 09:21:52 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Apr 2024 08:36:27 GMT",
"version": "v2"
},
{
"created": "Thu, 25 Jul 2024 17:56:29 GMT",
"version": "v3"
},
{
"created": "Sat, 27 Jul 2024 19:47:18 GMT",
"version": "v4"
},
{
"created": "Sun, 11 Aug 2024 19:29:56 GMT",
"version": "v5"
}
] |
2024-08-13
|
[
[
"Slagter",
"Reinoud Jan",
""
]
] |
We find an exact time-dependent instanton solution on a vacuum Kerr-like warped spacetime in conformal dilaton gravity. Remarkably, the metric solution results from a first-order PDE, allowing the connection with self-duality. The antipodal boundary condition on the hypersurface of a Klein bottle $\sim \mathbb{C}^1\times\mathbb{C}^1$ is applied to describe the Hawking particles. We used the Hopf fibration to get $S^2$ as the black hole horizon, where the centrix is not in a torus but in the Klein bottle. The twist fits very well with the antipodal identification of the point on the horizon. No "cut and past" is necessary, so the Hawing particles remain pure without instantaneous information transport. A local observer passing the horizon will not notice a central singularity in suitable coordinates. The black hole paradoxes are also revisited in our new black hole model. A connection is made with the geomeric quantization of $\mathbb{C}^1\times\mathbb{C}^1\sim S^3$, by considering the symplectic 2-form. The model can be easily extended to the non-vacuum situation by including a scalar field. Both the dilaton and the scalar field can be treated as quantum fields when approaching the Planck area.
| 14.470772
| 15.917006
| 14.128093
| 14.510693
| 15.429896
| 14.985203
| 15.268384
| 14.02984
| 15.315105
| 15.914255
| 14.436359
| 14.333307
| 13.938891
| 14.09824
| 14.383547
| 14.512263
| 14.207235
| 13.802501
| 14.363593
| 14.405405
| 14.181982
|
hep-th/9802040
|
Nami Fux Svaiter
|
F. S. Nogueira (Ecole Polytechnique), M. B. Silva Neto and N. F.
Svaiter (C.B.P.F.)
|
Non trivial critical exponents for finite temperature chiral transitions
at fixed total fermion number
|
14 pages Latex, no figures, final version to be published in Phys.
Lett. B
|
Phys.Lett. B441 (1998) 339
|
10.1016/S0370-2693(98)01189-7
|
CBPF-NF-006/98
|
hep-th cond-mat.stat-mech hep-ph
| null |
We analyze the finite temperature chiral restoration transition of the
$(D=d+1)$-dimensional Gross-Neveu model for the case of a large number of
flavors and fixed total fermion number. This leads to the study of the model
with a nonzero imaginary chemical potential. In this formulation of the theory,
we have obtained that, in the transition region, the model is described by a
chiral conformal field theory where the concepts of dimensional reduction and
universality do apply due to a transmutation of statistics which makes fermions
act as if they were bosons, having zero energy. This result should be generic
for theories with dynamical symmetry breaking, such as Quantum Chromodynamics.
|
[
{
"created": "Fri, 6 Feb 1998 20:21:59 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Feb 1998 22:48:10 GMT",
"version": "v2"
},
{
"created": "Wed, 17 Jun 1998 20:22:06 GMT",
"version": "v3"
},
{
"created": "Tue, 15 Sep 1998 16:24:47 GMT",
"version": "v4"
}
] |
2009-10-31
|
[
[
"Nogueira",
"F. S.",
"",
"Ecole Polytechnique"
],
[
"Neto",
"M. B. Silva",
"",
"C.B.P.F."
],
[
"Svaiter",
"N. F.",
"",
"C.B.P.F."
]
] |
We analyze the finite temperature chiral restoration transition of the $(D=d+1)$-dimensional Gross-Neveu model for the case of a large number of flavors and fixed total fermion number. This leads to the study of the model with a nonzero imaginary chemical potential. In this formulation of the theory, we have obtained that, in the transition region, the model is described by a chiral conformal field theory where the concepts of dimensional reduction and universality do apply due to a transmutation of statistics which makes fermions act as if they were bosons, having zero energy. This result should be generic for theories with dynamical symmetry breaking, such as Quantum Chromodynamics.
| 11.018301
| 11.161481
| 10.65279
| 10.015605
| 11.415304
| 10.872659
| 11.039228
| 11.089638
| 10.212099
| 11.456512
| 10.496902
| 10.581074
| 10.594011
| 10.208786
| 10.292034
| 10.385006
| 10.218263
| 10.280326
| 10.095776
| 10.786478
| 10.185482
|
2305.01283
|
Jiaqi Chen
|
Jiaqi Chen, Bo Feng, Li Lin Yang
|
Intersection theory rules symbology
|
12 pages, 1 figure, recieved version
|
Sci. China-Phys. Mech. Astron. 67, 221011 (2024)
|
10.1007/s11433-023-2239-8
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a novel method to determine the structure of symbols for any
family of polylogarithmic Feynman integrals. Using the d log-bases and simple
formulas for the leading order and next-to-leading contributions to the
intersection numbers, we give a streamlined procedure to compute the entries in
the coefficient matrices of canonical differential equations, including the
symbol letters and the rational coefficients. We also provide a selection rule
to decide whether a given matrix element must be zero. The symbol letters are
deeply related to the poles of the integrands and also have interesting
connections to the geometry of Newton polytopes. Our method can be applied to
many cutting-edge multi-loop calculations. The simplicity of our results also
hints at the possible underlying structure in perturbative quantum field
theories.
|
[
{
"created": "Tue, 2 May 2023 09:35:57 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Jul 2023 07:29:48 GMT",
"version": "v2"
},
{
"created": "Thu, 28 Sep 2023 11:05:12 GMT",
"version": "v3"
}
] |
2024-01-12
|
[
[
"Chen",
"Jiaqi",
""
],
[
"Feng",
"Bo",
""
],
[
"Yang",
"Li Lin",
""
]
] |
We propose a novel method to determine the structure of symbols for any family of polylogarithmic Feynman integrals. Using the d log-bases and simple formulas for the leading order and next-to-leading contributions to the intersection numbers, we give a streamlined procedure to compute the entries in the coefficient matrices of canonical differential equations, including the symbol letters and the rational coefficients. We also provide a selection rule to decide whether a given matrix element must be zero. The symbol letters are deeply related to the poles of the integrands and also have interesting connections to the geometry of Newton polytopes. Our method can be applied to many cutting-edge multi-loop calculations. The simplicity of our results also hints at the possible underlying structure in perturbative quantum field theories.
| 13.690179
| 13.409467
| 13.841895
| 12.433961
| 13.018923
| 14.408105
| 13.997605
| 13.773191
| 11.876871
| 14.957294
| 12.448725
| 13.283477
| 12.943743
| 12.642945
| 13.513381
| 13.589003
| 13.440212
| 13.297035
| 12.923874
| 13.389751
| 12.599589
|
hep-th/9210017
|
Young Park
|
Youngchul Park and Andrew Strominger
|
Supersymmetry and Positive Energy in Classical and Quantum
Two-Dimensional Dilaton Gravity
|
21 pages
|
Phys.Rev.D47:1569-1575,1993
|
10.1103/PhysRevD.47.1569
|
UCSBTH-92-39
|
hep-th
| null |
An $N = 1$ supersymmetric version of two dimensional dilaton gravity coupled
to matter is considered. It is shown that the linear dilaton vacuum
spontaneously breaks half the supersymmetries, leaving broken a linear
combination of left and right supersymmetries which squares to time
translations. Supersymmetry suggests a spinorial expression for the ADM energy
$M$, as found by Witten in four-dimensional general relativity. Using this
expression it is proven that ${M}$ is non-negative for smooth initial data
asymptotic (in both directions) to the linear dilaton vacuum, provided that the
(not necessarily supersymmetric) matter stress tensor obeys the dominant energy
condition. A {\it quantum} positive energy theorem is also proven for the
semiclassical large-$N$ equations, despite the indefiniteness of the quantum
stress tensor. For black hole spacetimes, it is shown that $M$ is bounded from
below by $e^{- 2 \phi_H}$, where $\phi_H$ is the value of the dilaton at the
apparent horizon, provided only that the stress tensor is positive outside the
apparent horizon. This is the two-dimensional analogue of an unproven
conjecture due to Penrose. Finally, supersymmetry is used to prove positive
energy theorems for a large class of generalizations of dilaton gravity which
arise in consideration of the quantum theory.
|
[
{
"created": "Fri, 2 Oct 1992 23:14:33 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Park",
"Youngchul",
""
],
[
"Strominger",
"Andrew",
""
]
] |
An $N = 1$ supersymmetric version of two dimensional dilaton gravity coupled to matter is considered. It is shown that the linear dilaton vacuum spontaneously breaks half the supersymmetries, leaving broken a linear combination of left and right supersymmetries which squares to time translations. Supersymmetry suggests a spinorial expression for the ADM energy $M$, as found by Witten in four-dimensional general relativity. Using this expression it is proven that ${M}$ is non-negative for smooth initial data asymptotic (in both directions) to the linear dilaton vacuum, provided that the (not necessarily supersymmetric) matter stress tensor obeys the dominant energy condition. A {\it quantum} positive energy theorem is also proven for the semiclassical large-$N$ equations, despite the indefiniteness of the quantum stress tensor. For black hole spacetimes, it is shown that $M$ is bounded from below by $e^{- 2 \phi_H}$, where $\phi_H$ is the value of the dilaton at the apparent horizon, provided only that the stress tensor is positive outside the apparent horizon. This is the two-dimensional analogue of an unproven conjecture due to Penrose. Finally, supersymmetry is used to prove positive energy theorems for a large class of generalizations of dilaton gravity which arise in consideration of the quantum theory.
| 7.540942
| 7.703145
| 7.71876
| 6.937096
| 7.614269
| 7.301025
| 7.483933
| 7.058378
| 7.495939
| 8.116846
| 7.307045
| 7.053808
| 7.293034
| 7.126102
| 7.253807
| 7.272125
| 7.133707
| 7.069865
| 7.109633
| 7.385409
| 7.254045
|
hep-th/0007165
|
Jamila Douari
|
J.Douari and Y.Hassouni
|
Fractional Supersymmetry through Generalized Anyonic algebra
|
8 pages
|
Acta Phys.Slov.51:175-182,2001
| null | null |
hep-th
| null |
The construction of anyonic operators and algebra is generalized by using
quons operators. Therefore, the particular versionof fractional supersymmetry
is constructed on the two-dimensional lattice by associating two generalized
anyons of different kinds. The fractional supersymmetry Hamiltonian operator is
obtained on the two-dimensional lattice and the quantum algebra $U_{q}(sl_{2})$
is realized.
|
[
{
"created": "Thu, 20 Jul 2000 16:46:29 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Aug 2000 13:05:59 GMT",
"version": "v2"
}
] |
2011-07-19
|
[
[
"Douari",
"J.",
""
],
[
"Hassouni",
"Y.",
""
]
] |
The construction of anyonic operators and algebra is generalized by using quons operators. Therefore, the particular versionof fractional supersymmetry is constructed on the two-dimensional lattice by associating two generalized anyons of different kinds. The fractional supersymmetry Hamiltonian operator is obtained on the two-dimensional lattice and the quantum algebra $U_{q}(sl_{2})$ is realized.
| 18.663681
| 14.720498
| 18.791632
| 14.887703
| 14.670375
| 14.727933
| 14.349409
| 15.935771
| 14.556945
| 19.909401
| 14.578403
| 15.334554
| 17.547693
| 15.719641
| 14.748569
| 14.710461
| 15.125611
| 14.617887
| 15.52761
| 16.287193
| 15.604857
|
hep-th/9605171
|
Jorge Gamboa
|
J. Gamboa, V. O. Rivelles and J. Zanelli
|
Global Anomalies and Anyons in 1+1 Dimensions
|
Changed title. To be published in Physics Letters B
|
Phys.Lett. B395 (1997) 264-268
|
10.1016/S0370-2693(97)00042-7
| null |
hep-th cond-mat
| null |
We consider the analog in one spatial dimension of the Bose-Fermi
transmutation for planar systems. A quantum mechanical system of a spin 1/2
particle coupled to an abelian gauge field, which is classically invariant
under gauge transformations and charge conjugation is studied. It is found that
unless the flux enclosed by the particle orbits is quantized, and the spin
takes a value $n+ 1/2$, at least one of the two symmetries would be anomalous.
Thus, charge conjugation invariance and the existence of abelian instantons
simultaneously force the particles to be either bosons or fermions, but not
anyons.
|
[
{
"created": "Wed, 22 May 1996 22:18:46 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Dec 1996 20:46:33 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Gamboa",
"J.",
""
],
[
"Rivelles",
"V. O.",
""
],
[
"Zanelli",
"J.",
""
]
] |
We consider the analog in one spatial dimension of the Bose-Fermi transmutation for planar systems. A quantum mechanical system of a spin 1/2 particle coupled to an abelian gauge field, which is classically invariant under gauge transformations and charge conjugation is studied. It is found that unless the flux enclosed by the particle orbits is quantized, and the spin takes a value $n+ 1/2$, at least one of the two symmetries would be anomalous. Thus, charge conjugation invariance and the existence of abelian instantons simultaneously force the particles to be either bosons or fermions, but not anyons.
| 9.93607
| 10.146798
| 10.061414
| 9.261278
| 8.561647
| 9.893502
| 10.868309
| 9.262628
| 9.423459
| 12.032905
| 8.929423
| 9.446516
| 9.815207
| 9.550697
| 8.992929
| 9.517968
| 9.458455
| 9.779638
| 9.259476
| 10.932407
| 8.945532
|
1912.10991
|
Andrew Turner
|
Nikhil Raghuram, Washington Taylor, and Andrew P. Turner
|
General F-theory models with tuned $(\operatorname{SU}(3) \times
\operatorname{SU}(2) \times \operatorname{U}(1)) / \mathbb{Z}_6$ symmetry
|
36 pages, LaTeX
| null |
10.1007/JHEP04(2020)008
|
MIT-CTP-5169
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct a general form for an F-theory Weierstrass model over a general
base giving a 6D or 4D supergravity theory with gauge group
$(\operatorname{SU}(3) \times \operatorname{SU}(2) \times \operatorname{U}(1))
/ \mathbb{Z}_6$ and generic associated matter, which includes the matter
content of the standard model. The Weierstrass model is identified by
unHiggsing a model with $\operatorname{U}(1)$ gauge symmetry and charges $q \le
4$ previously found by the first author. This model includes two distinct
branches that were identified in earlier work, and includes as a special case
the class of models recently studied by Cveti\v{c}, Halverson, Lin, Liu, and
Tian, for which we demonstrate explicitly the possibility of unification
through an $\operatorname{SU}(5)$ unHiggsing. We develop a systematic
methodology for checking that a parameterized class of F-theory Weierstrass
models with a given gauge group $G$ and fixed matter content is generic
(contains all allowed moduli) and confirm that this holds for the models
constructed here.
|
[
{
"created": "Mon, 23 Dec 2019 17:37:38 GMT",
"version": "v1"
},
{
"created": "Fri, 15 May 2020 20:55:15 GMT",
"version": "v2"
}
] |
2021-01-06
|
[
[
"Raghuram",
"Nikhil",
""
],
[
"Taylor",
"Washington",
""
],
[
"Turner",
"Andrew P.",
""
]
] |
We construct a general form for an F-theory Weierstrass model over a general base giving a 6D or 4D supergravity theory with gauge group $(\operatorname{SU}(3) \times \operatorname{SU}(2) \times \operatorname{U}(1)) / \mathbb{Z}_6$ and generic associated matter, which includes the matter content of the standard model. The Weierstrass model is identified by unHiggsing a model with $\operatorname{U}(1)$ gauge symmetry and charges $q \le 4$ previously found by the first author. This model includes two distinct branches that were identified in earlier work, and includes as a special case the class of models recently studied by Cveti\v{c}, Halverson, Lin, Liu, and Tian, for which we demonstrate explicitly the possibility of unification through an $\operatorname{SU}(5)$ unHiggsing. We develop a systematic methodology for checking that a parameterized class of F-theory Weierstrass models with a given gauge group $G$ and fixed matter content is generic (contains all allowed moduli) and confirm that this holds for the models constructed here.
| 7.677003
| 7.412415
| 8.92895
| 7.12493
| 7.757226
| 7.788656
| 7.674018
| 6.915276
| 7.789692
| 8.953538
| 7.160511
| 7.29631
| 7.477129
| 7.404722
| 7.28897
| 7.55955
| 7.356782
| 7.165887
| 7.419281
| 7.723317
| 7.216938
|
1408.2796
|
Alberto Molgado
|
Jasel Berra-Montiel, Alberto Molgado, C\'esar D. Palacios-Garc\'ia
|
Causal Poisson bracket via deformation quantization
|
25 pages, no figures, published version
|
IJGMMP 13 (2016) 1650104
|
10.1142/S0219887816501048
| null |
hep-th math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Starting with the well-defined product of quantum fields at two spacetime
points, we explore an associated Poisson structure for classical field theories
within the deformation quantization formalism. We realize that the induced
star-product is naturally related to the standard Moyal product through an
appropriate causal Green's functions connecting points in the space of
classical solutions to the equations of motion. Our results resemble the
Peierls-DeWitt bracket analyzed in the multisymplectic context. Once our
star-product is defined we are able to apply the Wigner-Weyl map in order to
introduce a generalized version of Wick's theorem. Finally, we include some
examples to explicitly test our method: the real scalar field, the bosonic
string and a physically motivated nonlinear particle model. For the field
theoretic models we have encountered causal generalizations of the
creation/annihilation relations, and also a causal generalization of the
Virasoro algebra for the bosonic string. For the nonlinear particle case, we
use the approximate solution in terms of the Green's function in order to
construct a well-behaved causal bracket.
|
[
{
"created": "Tue, 12 Aug 2014 18:40:33 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Aug 2014 14:56:42 GMT",
"version": "v2"
},
{
"created": "Tue, 12 Jul 2016 18:33:01 GMT",
"version": "v3"
}
] |
2016-07-13
|
[
[
"Berra-Montiel",
"Jasel",
""
],
[
"Molgado",
"Alberto",
""
],
[
"Palacios-García",
"César D.",
""
]
] |
Starting with the well-defined product of quantum fields at two spacetime points, we explore an associated Poisson structure for classical field theories within the deformation quantization formalism. We realize that the induced star-product is naturally related to the standard Moyal product through an appropriate causal Green's functions connecting points in the space of classical solutions to the equations of motion. Our results resemble the Peierls-DeWitt bracket analyzed in the multisymplectic context. Once our star-product is defined we are able to apply the Wigner-Weyl map in order to introduce a generalized version of Wick's theorem. Finally, we include some examples to explicitly test our method: the real scalar field, the bosonic string and a physically motivated nonlinear particle model. For the field theoretic models we have encountered causal generalizations of the creation/annihilation relations, and also a causal generalization of the Virasoro algebra for the bosonic string. For the nonlinear particle case, we use the approximate solution in terms of the Green's function in order to construct a well-behaved causal bracket.
| 12.677863
| 13.07136
| 12.88804
| 12.175531
| 12.441229
| 11.937803
| 12.559257
| 12.250673
| 12.248717
| 13.050559
| 12.368129
| 11.996596
| 12.366406
| 11.92645
| 12.327687
| 11.878404
| 12.015466
| 11.950128
| 12.111722
| 12.48863
| 12.15472
|
0804.2907
|
Davide Gaiotto
|
Davide Gaiotto and Edward Witten
|
Janus Configurations, Chern-Simons Couplings, And The Theta-Angle in N=4
Super Yang-Mills Theory
|
66 pp
|
JHEP 1006:097,2010
|
10.1007/JHEP06(2010)097
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We generalize the half-BPS Janus configuration of four-dimensional N=4 super
Yang-Mills theory to allow the theta-angle, as well as the gauge coupling, to
vary with position. We show that the existence of this generalization is
closely related to the existence of novel three-dimensional Chern-Simons
theories with N=4 supersymmetry. Another closely related problem, which we also
elucidate, is the D3-NS5 system in the presence of a four-dimensional
theta-angle.
|
[
{
"created": "Thu, 17 Apr 2008 21:21:53 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Gaiotto",
"Davide",
""
],
[
"Witten",
"Edward",
""
]
] |
We generalize the half-BPS Janus configuration of four-dimensional N=4 super Yang-Mills theory to allow the theta-angle, as well as the gauge coupling, to vary with position. We show that the existence of this generalization is closely related to the existence of novel three-dimensional Chern-Simons theories with N=4 supersymmetry. Another closely related problem, which we also elucidate, is the D3-NS5 system in the presence of a four-dimensional theta-angle.
| 6.91285
| 6.403469
| 7.631532
| 6.156423
| 5.831779
| 6.47227
| 6.662459
| 6.60802
| 6.530789
| 8.189371
| 6.256047
| 6.444805
| 6.683983
| 6.654703
| 6.356216
| 6.737046
| 6.619524
| 6.570877
| 6.562667
| 6.649082
| 6.475445
|
0911.1814
|
Keisuke Izumi
|
Keisuke Izumi and Shinji Mukohyama
|
Stellar center is dynamical in Horava-Lifshitz gravity
|
9 pages; minor corrections, order of sections changed, reference
added (v2)
|
Phys.Rev.D81:044008,2010
|
10.1103/PhysRevD.81.044008
|
IPMU09-0136
|
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In Horava-Lifshitz gravity, regularity of a solution requires smoothness of
not only the spacetime geometry but also the foliation. As a result, the
regularity condition at the center of a star is more restrictive than in
general relativity. Assuming that the energy density is a piecewise-continuous,
non-negative function of the pressure and that the pressure at the center is
positive, we prove that the momentum conservation law is incompatible with the
regularity at the center for any spherically-symmetric, static configurations.
The proof is totally insensitive to the structure of higher spatial curvature
terms and, thus, holds for any values of the dynamical critical exponent $z$.
Therefore, we conclude that a spherically-symmetric star should include a
time-dependent region near the center. We also comment on the condition under
which linear instability of the scalar graviton does not show up.
|
[
{
"created": "Tue, 10 Nov 2009 01:35:58 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Jan 2010 07:41:03 GMT",
"version": "v2"
}
] |
2010-04-06
|
[
[
"Izumi",
"Keisuke",
""
],
[
"Mukohyama",
"Shinji",
""
]
] |
In Horava-Lifshitz gravity, regularity of a solution requires smoothness of not only the spacetime geometry but also the foliation. As a result, the regularity condition at the center of a star is more restrictive than in general relativity. Assuming that the energy density is a piecewise-continuous, non-negative function of the pressure and that the pressure at the center is positive, we prove that the momentum conservation law is incompatible with the regularity at the center for any spherically-symmetric, static configurations. The proof is totally insensitive to the structure of higher spatial curvature terms and, thus, holds for any values of the dynamical critical exponent $z$. Therefore, we conclude that a spherically-symmetric star should include a time-dependent region near the center. We also comment on the condition under which linear instability of the scalar graviton does not show up.
| 8.055501
| 7.276133
| 7.634514
| 7.334481
| 7.667625
| 7.701681
| 7.508777
| 7.579203
| 7.33411
| 8.118241
| 7.317027
| 7.374805
| 7.257824
| 7.112867
| 7.209343
| 7.120576
| 7.075731
| 7.204865
| 7.139453
| 6.965461
| 7.165406
|
2305.01647
|
Marcia Tenser
|
Luigi Castiglioni, Silvia Penati, Marcia Tenser, Diego Trancanelli
|
Wilson loops and defect RG flows in ABJM
|
40 pages, 17 figures; minor changes and references added
|
JHEP 2306 (2023) 157
|
10.1007/JHEP06(2023)157
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We continue our study of renormalization group (RG) flows on Wilson loop
defects in ABJM theory, which we have initiated in arXiv:2211.16501. We
generalize that analysis by including non-supersymmetric fixed points and RG
trajectories. To this end, we first determine the ``ordinary",
non-supersymmetric Wilson loops, which turn out to be two and to include an
R-symmetry preserving coupling to the scalar fields of the theory, contrary to
their four-dimensional counterpart defined solely in terms of the gauge field
holonomy. We then deform these operators by turning on bosonic and/or fermionic
couplings, which trigger an elaborate, multi-dimensional network of possible RG
trajectories connecting a large spectrum of fixed points classified in terms of
the amount (possibly zero) of supersymmetry and R-symmetry preserved. The
$\beta$-functions are computed to leading order in the ABJM coupling but
exactly in the deformation parameters, using an auxiliary one-dimensional
theory on the defect and a dimensional regularization scheme. A striking result
is the different behavior of the two ordinary Wilson loops, of which one turns
out to be a UV unstable point while the other is IR stable. The same is true
for the two 1/2 BPS Wilson loops. We interpret our results from a defect CFT
(dCFT) point of view, computing the anomalous dimensions of the operators
associated to the deformations and establishing appropriate g-theorems. In
particular, the fermionic unstable fixed point is associated to a dCFT which is
not reflection positive.
|
[
{
"created": "Tue, 2 May 2023 17:59:08 GMT",
"version": "v1"
},
{
"created": "Fri, 5 May 2023 11:55:01 GMT",
"version": "v2"
}
] |
2023-06-28
|
[
[
"Castiglioni",
"Luigi",
""
],
[
"Penati",
"Silvia",
""
],
[
"Tenser",
"Marcia",
""
],
[
"Trancanelli",
"Diego",
""
]
] |
We continue our study of renormalization group (RG) flows on Wilson loop defects in ABJM theory, which we have initiated in arXiv:2211.16501. We generalize that analysis by including non-supersymmetric fixed points and RG trajectories. To this end, we first determine the ``ordinary", non-supersymmetric Wilson loops, which turn out to be two and to include an R-symmetry preserving coupling to the scalar fields of the theory, contrary to their four-dimensional counterpart defined solely in terms of the gauge field holonomy. We then deform these operators by turning on bosonic and/or fermionic couplings, which trigger an elaborate, multi-dimensional network of possible RG trajectories connecting a large spectrum of fixed points classified in terms of the amount (possibly zero) of supersymmetry and R-symmetry preserved. The $\beta$-functions are computed to leading order in the ABJM coupling but exactly in the deformation parameters, using an auxiliary one-dimensional theory on the defect and a dimensional regularization scheme. A striking result is the different behavior of the two ordinary Wilson loops, of which one turns out to be a UV unstable point while the other is IR stable. The same is true for the two 1/2 BPS Wilson loops. We interpret our results from a defect CFT (dCFT) point of view, computing the anomalous dimensions of the operators associated to the deformations and establishing appropriate g-theorems. In particular, the fermionic unstable fixed point is associated to a dCFT which is not reflection positive.
| 10.497146
| 9.881042
| 11.14526
| 9.705912
| 10.234748
| 9.693151
| 9.753361
| 9.750769
| 9.338143
| 12.372845
| 9.578826
| 9.755921
| 9.935955
| 9.666299
| 9.89242
| 9.622719
| 9.773513
| 9.707888
| 9.933231
| 10.212081
| 9.462197
|
2001.00934
|
Dine Ousmane Samary
|
Vincent Lahoche and Dine Ousmane Samary
|
Pedagogical comments about nonperturbative Ward-constrained melonic
renormalization group flow
|
16 pages, 9 figures. arXiv admin note: substantial text overlap with
arXiv:1904.05655
|
Physical Review D 101, 024001 (2020)
|
10.1103/PhysRevD.101.024001
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper, in addition to our recent works, intends to explore the behavior
of the Wetterich flow equations in the portion of the theory space spanned by
non-branching melons constrained with Ward-identities. We focus on a rank-5
just-renormalizable tensorial group field theory and consider a non-trivial
extension of the local potential approximation namely effective vertex
expansion for just-renormalizable quartic melonic interactions, disregarding
effects coming from disconnected interactions. Investigating the dynamically
constrained flow, we show explicitly that results weakly rely on the number of
quartic interactions involved in the classical action. In particular, the
predictions for the fully connected model are essentially the same as for the
single colored model. Finally, closing the flow equations using Ward identities
without additional assumptions to compute integrals involved in the effective
vertex expansion, we do not find reliable fixed point in the unconstrained
theory space connected with the Gaussian region.
|
[
{
"created": "Thu, 2 Jan 2020 20:08:10 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Jul 2021 19:22:29 GMT",
"version": "v2"
},
{
"created": "Fri, 11 Feb 2022 12:27:18 GMT",
"version": "v3"
}
] |
2022-02-14
|
[
[
"Lahoche",
"Vincent",
""
],
[
"Samary",
"Dine Ousmane",
""
]
] |
This paper, in addition to our recent works, intends to explore the behavior of the Wetterich flow equations in the portion of the theory space spanned by non-branching melons constrained with Ward-identities. We focus on a rank-5 just-renormalizable tensorial group field theory and consider a non-trivial extension of the local potential approximation namely effective vertex expansion for just-renormalizable quartic melonic interactions, disregarding effects coming from disconnected interactions. Investigating the dynamically constrained flow, we show explicitly that results weakly rely on the number of quartic interactions involved in the classical action. In particular, the predictions for the fully connected model are essentially the same as for the single colored model. Finally, closing the flow equations using Ward identities without additional assumptions to compute integrals involved in the effective vertex expansion, we do not find reliable fixed point in the unconstrained theory space connected with the Gaussian region.
| 21.153078
| 21.761108
| 21.254068
| 19.579639
| 20.346739
| 21.841692
| 21.414164
| 20.64418
| 19.396395
| 22.557146
| 20.045023
| 21.931622
| 22.260662
| 21.111799
| 21.766052
| 21.764938
| 21.902401
| 21.231709
| 21.186562
| 21.669558
| 20.408251
|
0912.0055
|
Pei-Ming Ho
|
Pei-Ming Ho
|
Nambu Bracket for M Theory
|
13 pages, prepared for The Fourth International Symposium on
Symmetries in Subatomic Physics (SSP 2009), minor modification, references
added
|
Nucl.Phys.A844:95c-108c,2010
|
10.1016/j.nuclphysa.2010.05.020
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this article we give a concise review of recent progress in our
understanding of the Lie 3-algebra and their application to the
Bagger-Lambert-Gustavsson model describing multiple M2-branes in M theory.
|
[
{
"created": "Tue, 1 Dec 2009 02:15:08 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Jan 2010 07:50:24 GMT",
"version": "v2"
}
] |
2014-11-20
|
[
[
"Ho",
"Pei-Ming",
""
]
] |
In this article we give a concise review of recent progress in our understanding of the Lie 3-algebra and their application to the Bagger-Lambert-Gustavsson model describing multiple M2-branes in M theory.
| 6.946715
| 4.296529
| 8.405552
| 4.810915
| 4.749381
| 4.77879
| 4.52782
| 4.665008
| 4.660527
| 6.644197
| 4.708818
| 4.748672
| 5.77598
| 4.888789
| 4.591837
| 4.713063
| 4.652246
| 5.157158
| 4.731882
| 5.623978
| 4.962893
|
0806.3057
|
Oleg Evnin
|
Oleg Evnin and Timothy Nguyen
|
On discrete features of the wave equation in singular pp-wave
backgrounds
|
10 pages; v2: references and clarifications added, minor typos
corrected
|
JHEP 0809:105,2008
|
10.1088/1126-6708/2008/09/105
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by-nc-sa/3.0/
|
We analyze the wave equation in families of pp-wave geometries developing
strong localized scale-invariant singularities in certain limits. For both
cases of well-localized pp-waves and the so-called null-cosmologies, we observe
an intriguing discrete dependence of the existence of a singular limit on the
normalization of the pp-wave profile. We also find restrictive matching
conditions relating the geometries before and after the singularity (if a
singular limit for the solutions of the wave equation with initial conditions
specified away from the near-singular region is assumed to exist).
|
[
{
"created": "Wed, 18 Jun 2008 17:56:44 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Jul 2008 19:36:21 GMT",
"version": "v2"
}
] |
2011-06-02
|
[
[
"Evnin",
"Oleg",
""
],
[
"Nguyen",
"Timothy",
""
]
] |
We analyze the wave equation in families of pp-wave geometries developing strong localized scale-invariant singularities in certain limits. For both cases of well-localized pp-waves and the so-called null-cosmologies, we observe an intriguing discrete dependence of the existence of a singular limit on the normalization of the pp-wave profile. We also find restrictive matching conditions relating the geometries before and after the singularity (if a singular limit for the solutions of the wave equation with initial conditions specified away from the near-singular region is assumed to exist).
| 20.853624
| 19.684381
| 18.121265
| 17.33873
| 18.609051
| 17.360861
| 21.218191
| 16.744373
| 17.746572
| 21.385307
| 19.935141
| 18.216608
| 19.189919
| 18.780134
| 17.591837
| 18.404709
| 19.031292
| 18.17618
| 18.997437
| 19.063511
| 17.820065
|
1805.10743
|
Kohta Hatakeyama
|
Kohta Hatakeyama, Asato Tsuchiya
|
Equivalence of large-$N$ gauge theories on a group manifold and its
coset space
|
11 pages, 4 figures, published version
|
Phys. Lett. B 782 (2018) 503
|
10.1016/j.physletb.2018.05.065
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It was shown in arXiv:0912.1456 that the large-$N$ reduction holds on group
manifolds in the sense that a large-$N$ gauge theory on a group manifold is
realized by a matrix model which is obtained by dimensionally reducing the
original theory to zero dimension. In this note, generalizing the above
statement, we show that a large-$N$ gauge theory on a group manifold is
equivalent to a theory which is obtained by reducing the original theory to its
coset space. This is analogous to the statement of the large-$N$ reduction on
flat spaces that large-$N$ gauge theories are independent of the volume.
|
[
{
"created": "Mon, 28 May 2018 02:42:19 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Jul 2018 02:13:48 GMT",
"version": "v2"
}
] |
2018-07-03
|
[
[
"Hatakeyama",
"Kohta",
""
],
[
"Tsuchiya",
"Asato",
""
]
] |
It was shown in arXiv:0912.1456 that the large-$N$ reduction holds on group manifolds in the sense that a large-$N$ gauge theory on a group manifold is realized by a matrix model which is obtained by dimensionally reducing the original theory to zero dimension. In this note, generalizing the above statement, we show that a large-$N$ gauge theory on a group manifold is equivalent to a theory which is obtained by reducing the original theory to its coset space. This is analogous to the statement of the large-$N$ reduction on flat spaces that large-$N$ gauge theories are independent of the volume.
| 6.079514
| 5.316112
| 5.979066
| 5.174174
| 5.650452
| 5.549243
| 5.366167
| 5.06111
| 5.23033
| 6.359818
| 5.398691
| 5.45562
| 5.922935
| 5.652017
| 5.662005
| 5.490705
| 5.524943
| 5.489703
| 5.601568
| 5.862706
| 5.63051
|
hep-th/9311073
| null |
D.C.Cabra and C.M.Na\'on
|
2D Ising Model with a Defect Line
|
8 pages, report La Plata 93-08
|
Mod. Phys. Lett. A9 (1994) 2107-2112
|
10.1142/S0217732394001969
| null |
hep-th
| null |
We study the two-dimensional Ising model with a defect line and evaluate
multipoint energy correlation functions using non-perturbative
field-theoretical methods. We also discuss the evaluation of the two spin
correlator on the defect line.
|
[
{
"created": "Thu, 11 Nov 1993 19:08:33 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Cabra",
"D. C.",
""
],
[
"Naón",
"C. M.",
""
]
] |
We study the two-dimensional Ising model with a defect line and evaluate multipoint energy correlation functions using non-perturbative field-theoretical methods. We also discuss the evaluation of the two spin correlator on the defect line.
| 10.988422
| 11.493518
| 9.826156
| 10.27415
| 9.847171
| 10.903461
| 11.623975
| 10.711004
| 10.368946
| 11.410293
| 9.939528
| 10.444393
| 10.393395
| 10.236636
| 10.142969
| 10.050064
| 10.255578
| 10.661592
| 10.819641
| 10.461891
| 9.595229
|
2005.05273
|
Dominik Miketa
|
Antoine Bourget, Amihay Hanany, Dominik Miketa
|
Quiver origami: discrete gauging and folding
|
63 pages, 23 figures
|
Journal of High Energy Physics 2021
|
10.1007/JHEP01(2021)086
|
86 (2021)
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study two types of discrete operations on Coulomb branches of $3d$
$\mathcal{N}=4$ quiver gauge theories using both abelianisation and the
monopole formula. We generalise previous work on discrete quotients of Coulomb
branches and introduce novel wreathed quiver theories. We further study quiver
folding which produces Coulomb branches of non-simply laced quivers.
|
[
{
"created": "Mon, 11 May 2020 17:17:53 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Aug 2020 12:26:11 GMT",
"version": "v2"
}
] |
2021-01-19
|
[
[
"Bourget",
"Antoine",
""
],
[
"Hanany",
"Amihay",
""
],
[
"Miketa",
"Dominik",
""
]
] |
We study two types of discrete operations on Coulomb branches of $3d$ $\mathcal{N}=4$ quiver gauge theories using both abelianisation and the monopole formula. We generalise previous work on discrete quotients of Coulomb branches and introduce novel wreathed quiver theories. We further study quiver folding which produces Coulomb branches of non-simply laced quivers.
| 10.361293
| 8.051022
| 11.023827
| 7.897965
| 8.218007
| 8.768146
| 8.955187
| 7.943449
| 7.917535
| 13.1981
| 7.797772
| 8.387545
| 10.370613
| 8.481095
| 8.345405
| 8.619217
| 8.381799
| 8.464228
| 8.490967
| 10.333137
| 8.584894
|
2110.01115
|
Yi-Zhuang You
|
Jonathan Lam, Yi-Zhuang You
|
Machine Learning Statistical Gravity from Multi-Region Entanglement
Entropy
|
10 pages, 10 figures
|
Phys. Rev. Research 3, 043199 (2021)
|
10.1103/PhysRevResearch.3.043199
| null |
hep-th cond-mat.dis-nn cond-mat.stat-mech quant-ph
|
http://creativecommons.org/licenses/by/4.0/
|
The Ryu-Takayanagi formula directly connects quantum entanglement and
geometry. Yet the assumption of static geometry lead to an exponentially small
mutual information between far-separated disjoint regions, which does not hold
in many systems such as free fermion conformal field theories. In this work, we
proposed a microscopic model by superimposing entanglement features of an
ensemble of random tensor networks of different bond dimensions, which can be
mapped to a statistical gravity model consisting of a massive scalar field on a
fluctuating background geometry. We propose a machine-learning algorithm that
recovers the underlying geometry fluctuation from multi-region entanglement
entropy data by modeling the bulk geometry distribution via a generative neural
network. To demonstrate its effectiveness, we tested the model on a free
fermion system and showed mutual information can be mediated effectively by
geometric fluctuation. Remarkably, locality emerged from the learned
distribution of bulk geometries, pointing to a local statistical gravity theory
in the holographic bulk.
|
[
{
"created": "Sun, 3 Oct 2021 22:46:41 GMT",
"version": "v1"
}
] |
2023-05-17
|
[
[
"Lam",
"Jonathan",
""
],
[
"You",
"Yi-Zhuang",
""
]
] |
The Ryu-Takayanagi formula directly connects quantum entanglement and geometry. Yet the assumption of static geometry lead to an exponentially small mutual information between far-separated disjoint regions, which does not hold in many systems such as free fermion conformal field theories. In this work, we proposed a microscopic model by superimposing entanglement features of an ensemble of random tensor networks of different bond dimensions, which can be mapped to a statistical gravity model consisting of a massive scalar field on a fluctuating background geometry. We propose a machine-learning algorithm that recovers the underlying geometry fluctuation from multi-region entanglement entropy data by modeling the bulk geometry distribution via a generative neural network. To demonstrate its effectiveness, we tested the model on a free fermion system and showed mutual information can be mediated effectively by geometric fluctuation. Remarkably, locality emerged from the learned distribution of bulk geometries, pointing to a local statistical gravity theory in the holographic bulk.
| 11.993277
| 12.756045
| 13.435752
| 12.871632
| 13.798434
| 13.417266
| 13.150728
| 13.489107
| 12.089669
| 14.303744
| 12.731853
| 12.066094
| 12.153915
| 11.862602
| 12.055173
| 11.158248
| 11.975592
| 11.701891
| 11.670321
| 12.012066
| 11.922279
|
hep-th/9411106
|
Chakrabarti Amitabha
|
B. Abdesselam, D. Arnaudon, A. Chakrabarti
|
Representations of $SO(5)_{q}$ and Non-Minimal $q$-Deformation
|
11 pages, Tex.file
|
J.Phys. A28 (1995) 3701-3708
|
10.1088/0305-4470/28/13/014
|
Ecole polytechnique preprint A337.1194
|
hep-th math.QA q-alg
| null |
Representations of $SO(5)_{q}$ can be constructed on bases such that either
the Chevalley triplet $(e_{1},\;f_{1},\;h_{1})$ or $(e_{2},\;f_{2},\;h_{2})$
has the standard $SU(2)_{q}$ matrix elements. The other triplet in each cases
has a more complicated action. The $q$-deformation of such representations
present striking differences. In one case a {\bf non-minimal} deformation is
found to be essential. This is explained and illustrated below. Broader
interests of a parallel use of the two bases are pointed out.
|
[
{
"created": "Tue, 15 Nov 1994 17:08:38 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Abdesselam",
"B.",
""
],
[
"Arnaudon",
"D.",
""
],
[
"Chakrabarti",
"A.",
""
]
] |
Representations of $SO(5)_{q}$ can be constructed on bases such that either the Chevalley triplet $(e_{1},\;f_{1},\;h_{1})$ or $(e_{2},\;f_{2},\;h_{2})$ has the standard $SU(2)_{q}$ matrix elements. The other triplet in each cases has a more complicated action. The $q$-deformation of such representations present striking differences. In one case a {\bf non-minimal} deformation is found to be essential. This is explained and illustrated below. Broader interests of a parallel use of the two bases are pointed out.
| 11.277939
| 11.198425
| 12.569525
| 10.936401
| 11.453902
| 11.009394
| 10.361793
| 10.332687
| 10.162179
| 12.542685
| 10.582114
| 10.70903
| 11.297318
| 10.734859
| 10.604349
| 10.405248
| 10.457951
| 10.482347
| 10.439805
| 11.307045
| 10.599865
|
hep-th/9408128
|
Alex Kovner
|
A. Kovner and B. Rosenstein
|
Fermionic Operators from Bosonic Fields in 3+1 Dimensions
|
8 pages, two figures available on request, LA-UR-94-2863
|
Phys.Lett. B342 (1995) 381-386
|
10.1016/0370-2693(94)01362-G
| null |
hep-th
| null |
We present a construction of fermionic operators in 3+1 dimensions in terms
of bosonic fields in the framework of $QED_4$. The basic bosonic variables are
the electric fields $E_i$ and their conjugate momenta $A_i$. Our construction
generalizes the analogous constuction of fermionic operators in 2+1 dimensions.
Loosely speaking, a fermionic operator is represented as a product of an
operator that creates a pointlike charge and an operator that creates an
infinitesimal t'Hooft loop of half integer strength. We also show how the axial
$U(1)$ transformations are realized in this construction.
|
[
{
"created": "Tue, 23 Aug 1994 21:13:15 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Kovner",
"A.",
""
],
[
"Rosenstein",
"B.",
""
]
] |
We present a construction of fermionic operators in 3+1 dimensions in terms of bosonic fields in the framework of $QED_4$. The basic bosonic variables are the electric fields $E_i$ and their conjugate momenta $A_i$. Our construction generalizes the analogous constuction of fermionic operators in 2+1 dimensions. Loosely speaking, a fermionic operator is represented as a product of an operator that creates a pointlike charge and an operator that creates an infinitesimal t'Hooft loop of half integer strength. We also show how the axial $U(1)$ transformations are realized in this construction.
| 7.685235
| 7.11691
| 7.757748
| 7.486104
| 7.176527
| 7.304729
| 7.456189
| 7.444159
| 7.210254
| 7.993539
| 7.134059
| 7.062348
| 7.530824
| 7.390184
| 7.724319
| 7.53782
| 7.445717
| 7.349463
| 7.395937
| 7.279938
| 7.197628
|
2202.04702
|
Adrien Fiorucci
|
Laura Donnay, Adrien Fiorucci, Yannick Herfray, Romain Ruzziconi
|
Carrollian Perspective on Celestial Holography
|
9 pages, 1 figure, published version (PRL)
| null |
10.1103/PhysRevLett.129.071602
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We show that a $3d$ sourced conformal Carrollian field theory has the right
kinematic properties to holographically describe gravity in $4d$ asymptotically
flat spacetime. The external sources encode the leaks of gravitational
radiation at null infinity. The Ward identities of this theory are shown to
reproduce those of the $2d$ celestial CFT after relating Carrollian to
celestial operators. This suggests a new set of interplays between gravity in
asymptotically flat spacetime, sourced conformal Carrollian field theory and
celestial CFT.
|
[
{
"created": "Wed, 9 Feb 2022 19:52:15 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Aug 2022 08:35:08 GMT",
"version": "v2"
}
] |
2022-08-31
|
[
[
"Donnay",
"Laura",
""
],
[
"Fiorucci",
"Adrien",
""
],
[
"Herfray",
"Yannick",
""
],
[
"Ruzziconi",
"Romain",
""
]
] |
We show that a $3d$ sourced conformal Carrollian field theory has the right kinematic properties to holographically describe gravity in $4d$ asymptotically flat spacetime. The external sources encode the leaks of gravitational radiation at null infinity. The Ward identities of this theory are shown to reproduce those of the $2d$ celestial CFT after relating Carrollian to celestial operators. This suggests a new set of interplays between gravity in asymptotically flat spacetime, sourced conformal Carrollian field theory and celestial CFT.
| 9.429388
| 7.659636
| 10.20594
| 8.107742
| 8.60584
| 7.267756
| 8.409679
| 7.823781
| 7.681306
| 11.614059
| 7.9218
| 8.269571
| 9.674329
| 8.603182
| 8.308137
| 8.099172
| 8.18302
| 8.301534
| 8.122754
| 9.631314
| 8.105598
|
hep-th/9805128
|
Marcony Silva Cunha
|
H.R. Christiansen, M.S. Cunha, J.A. Helayel-Neto, L.R.U. Manssur,
A.L.M.A. Nogueira
|
Self-dual vortices in a Maxwell-Chern-Simons model with non-minimal
coupling
|
12 pages, 9 figures, 2 tables; some typos corrected, one reference
updated. To be published in the Int. J. Mod. Phys. A (1999)
|
Int.J.Mod.Phys. A14 (1999) 1721-1736
|
10.1142/S0217751X99000877
|
CBPF-NF-034/98
|
hep-th
| null |
We find self-dual vortex solutions in a Maxwell-Chern-Simons model with
anomalous magnetic moment. From a recently developed N=2-supersymmetric
extension, we obtain the proper Bogomol'nyi equations together with a Higgs
potential allowing both topological and non-topological phases in the theory.
|
[
{
"created": "Wed, 20 May 1998 18:18:04 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Feb 1999 21:34:35 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Christiansen",
"H. R.",
""
],
[
"Cunha",
"M. S.",
""
],
[
"Helayel-Neto",
"J. A.",
""
],
[
"Manssur",
"L. R. U.",
""
],
[
"Nogueira",
"A. L. M. A.",
""
]
] |
We find self-dual vortex solutions in a Maxwell-Chern-Simons model with anomalous magnetic moment. From a recently developed N=2-supersymmetric extension, we obtain the proper Bogomol'nyi equations together with a Higgs potential allowing both topological and non-topological phases in the theory.
| 13.190305
| 10.26528
| 13.119774
| 9.808065
| 9.946339
| 9.584659
| 8.470059
| 9.00197
| 9.8867
| 13.257328
| 9.874426
| 10.185688
| 12.14241
| 11.48985
| 10.566425
| 10.791885
| 10.138238
| 10.701442
| 10.892806
| 12.612453
| 10.666303
|
1310.4886
|
Matthew Headrick
|
Cesar A. Agon, Matthew Headrick, Daniel L. Jafferis, and Skyler Kasko
|
Disk entanglement entropy for a Maxwell field
|
34 pages
|
Phys. Rev. D 89, 025018 (2014)
|
10.1103/PhysRevD.89.025018
|
BRX-TH-672
|
hep-th cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In three dimensions, the pure Maxwell theory with compact U(1) gauge group is
dual to a free compact scalar, and flows from the Maxwell theory with
non-compact gauge group in the ultraviolet to a non-compact free massless
scalar theory in the infrared. We compute the vacuum disk entanglement entropy
all along this flow, and show that the renormalized entropy F(r) decreases
monotonically with the radius r as predicted by the F-theorem, interpolating
between a logarithmic growth for small r (matching the behavior of the S^3 free
energy) and a constant at large r (equal to the free energy of the conformal
scalar). The calculation is carried out by the replica trick, employing the
scalar formulation of the theory. The Renyi entropies for n>1 are given by a
sum over winding sectors, leading to a Riemann-Siegel theta function. The
extrapolation to n=1, to obtain the von Neumann entropy, is done by analytic
continuation in the large- and small-r limits and by a numerical extrapolation
method at intermediate values. We also compute the leading contribution to the
renormalized entanglement entropy of the compact free scalar in higher
dimensions. Finally, we point out some interesting features of the reduced
density matrix for the compact scalar, and its relation to that for the
non-compact theory.
|
[
{
"created": "Fri, 18 Oct 2013 02:18:38 GMT",
"version": "v1"
}
] |
2014-02-05
|
[
[
"Agon",
"Cesar A.",
""
],
[
"Headrick",
"Matthew",
""
],
[
"Jafferis",
"Daniel L.",
""
],
[
"Kasko",
"Skyler",
""
]
] |
In three dimensions, the pure Maxwell theory with compact U(1) gauge group is dual to a free compact scalar, and flows from the Maxwell theory with non-compact gauge group in the ultraviolet to a non-compact free massless scalar theory in the infrared. We compute the vacuum disk entanglement entropy all along this flow, and show that the renormalized entropy F(r) decreases monotonically with the radius r as predicted by the F-theorem, interpolating between a logarithmic growth for small r (matching the behavior of the S^3 free energy) and a constant at large r (equal to the free energy of the conformal scalar). The calculation is carried out by the replica trick, employing the scalar formulation of the theory. The Renyi entropies for n>1 are given by a sum over winding sectors, leading to a Riemann-Siegel theta function. The extrapolation to n=1, to obtain the von Neumann entropy, is done by analytic continuation in the large- and small-r limits and by a numerical extrapolation method at intermediate values. We also compute the leading contribution to the renormalized entanglement entropy of the compact free scalar in higher dimensions. Finally, we point out some interesting features of the reduced density matrix for the compact scalar, and its relation to that for the non-compact theory.
| 7.28886
| 6.758217
| 8.221296
| 6.727561
| 7.3128
| 7.018029
| 6.577827
| 6.911146
| 6.485172
| 8.857941
| 6.758231
| 6.663346
| 7.186736
| 6.835713
| 6.718622
| 6.823966
| 6.684516
| 6.911973
| 6.859258
| 7.060277
| 6.752742
|
1112.1054
|
Gregory Giecold
|
Gregory Giecold
|
Remark on the Baryonic Branch of the Warped Deformed Conifold
|
11 pages. v2: references added, updated comment on arXiv:1111.6567
|
JHEP(06)(2012)035
|
10.1007/JHEP06(2012)035
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It has recently been suggested that a superpotential for the baryonic branch
of the Klebanov-Strassler field theory (KS) should exist for a sector of the
dual supergravity fields. In this note we would like to argue that if extended
to cover the whole set of supergravity fields a would-be superpotential does
not have a perturbative expansion around the known KS superpotential. Since the
family of supergravity duals to the baryonic branch is an expansion around the
warped deformed conifold, our argument most likely indicates that there is no
such superpotential, and hints that some one-parameter supersymmetric solutions
do not arise from BPS flow equations.
|
[
{
"created": "Mon, 5 Dec 2011 20:42:34 GMT",
"version": "v1"
},
{
"created": "Sun, 10 Jun 2012 00:35:38 GMT",
"version": "v2"
}
] |
2015-06-03
|
[
[
"Giecold",
"Gregory",
""
]
] |
It has recently been suggested that a superpotential for the baryonic branch of the Klebanov-Strassler field theory (KS) should exist for a sector of the dual supergravity fields. In this note we would like to argue that if extended to cover the whole set of supergravity fields a would-be superpotential does not have a perturbative expansion around the known KS superpotential. Since the family of supergravity duals to the baryonic branch is an expansion around the warped deformed conifold, our argument most likely indicates that there is no such superpotential, and hints that some one-parameter supersymmetric solutions do not arise from BPS flow equations.
| 10.145036
| 10.380498
| 12.060075
| 9.889474
| 9.905174
| 9.907649
| 10.422272
| 10.353789
| 10.091379
| 11.969463
| 10.164636
| 9.334168
| 10.03901
| 9.599607
| 9.557697
| 9.498793
| 9.544319
| 9.288492
| 9.678182
| 10.188707
| 9.667317
|
hep-th/9205101
|
Ohta
|
Nobuyoshi Ohta and Hisao Suzuki
|
Interactions of Discrete States with Nonzero Ghost Number \\ in $c=1$
$2D$ Gravity
|
10 pages, OS-GE 25-92
|
Mod.Phys.Lett. A7 (1992) 2723-2730
|
10.1142/S0217732392002184
| null |
hep-th
| null |
We study the interactions of the discrete states with nonzero ghost number in
$c=1$ two-dimensional ($2D$) quantum gravity. By using the vertex operator
representations, it is shown that their interactions are given by the structure
constants of the group of the area preserving diffeomorphism similar to those
of vanishing ghost number. The effective action for these states is also worked
out. The result suggests the whole system has a BRST-like symmetry.
|
[
{
"created": "Thu, 28 May 1992 01:01:52 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Ohta",
"Nobuyoshi",
""
],
[
"Suzuki",
"Hisao",
""
]
] |
We study the interactions of the discrete states with nonzero ghost number in $c=1$ two-dimensional ($2D$) quantum gravity. By using the vertex operator representations, it is shown that their interactions are given by the structure constants of the group of the area preserving diffeomorphism similar to those of vanishing ghost number. The effective action for these states is also worked out. The result suggests the whole system has a BRST-like symmetry.
| 13.364094
| 9.316478
| 11.823115
| 10.097985
| 10.238396
| 9.564848
| 9.209038
| 9.656199
| 9.873294
| 12.205447
| 9.68816
| 10.275738
| 12.206847
| 11.193418
| 10.463483
| 10.457231
| 10.1709
| 10.57239
| 11.011706
| 12.056237
| 10.325371
|
0704.0955
|
Matthias Wapler
|
Nemani V. Suryanarayana and Matthias C. Wapler
|
Charges from Attractors
|
25 pages; references and comments added, typos fixed, minor changes
to notation, minor clarifications in the discussions; final version published
in CQG
|
Class.Quant.Grav.24:5047-5072,2007
|
10.1088/0264-9381/24/20/009
| null |
hep-th gr-qc
| null |
We describe how to recover the quantum numbers of extremal black holes from
their near horizon geometries. This is achieved by constructing the
gravitational Noether-Wald charges which can be used for non-extremal black
holes as well. These charges are shown to be equivalent to the U(1) charges of
appropriately dimensionally reduced solutions. Explicit derivations are
provided for 10 dimensional type IIB supergravity and 5 dimensional minimal
gauged supergravity, with illustrative examples for various black hole
solutions. We also discuss how to derive the thermodynamic quantities and their
relations explicitly in the extremal limit, from the point of view of the
near-horizon geometry. We relate our results to the entropy function formalism.
|
[
{
"created": "Sat, 7 Apr 2007 20:03:07 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Oct 2007 07:15:00 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Suryanarayana",
"Nemani V.",
""
],
[
"Wapler",
"Matthias C.",
""
]
] |
We describe how to recover the quantum numbers of extremal black holes from their near horizon geometries. This is achieved by constructing the gravitational Noether-Wald charges which can be used for non-extremal black holes as well. These charges are shown to be equivalent to the U(1) charges of appropriately dimensionally reduced solutions. Explicit derivations are provided for 10 dimensional type IIB supergravity and 5 dimensional minimal gauged supergravity, with illustrative examples for various black hole solutions. We also discuss how to derive the thermodynamic quantities and their relations explicitly in the extremal limit, from the point of view of the near-horizon geometry. We relate our results to the entropy function formalism.
| 7.397182
| 7.264653
| 7.567739
| 7.057746
| 7.116961
| 6.840566
| 6.836775
| 6.730071
| 6.751154
| 8.021825
| 6.697928
| 7.160453
| 7.424539
| 7.149003
| 6.903354
| 7.096941
| 6.766596
| 6.998477
| 7.107989
| 7.236265
| 6.885305
|
1909.00434
|
Erik Jonathan Lindgren
|
Jonathan Lindgren
|
Black hole formation, holographic thermalization and the AdS/CFT
correspondence
|
195 pages; PhD Thesis, Vrije Universiteit Brussel/Universit\'e Libre
de Bruxelles, 2017
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The AdS/CFT correspondence is one of the most important discoveries in
theoretical physics in recent years. It states that certain quantum mechanical
theories can actually be described by classical gravity in one higher
dimension, in a spacetime called anti-de Sitter (AdS) space. What makes this
duality so useful is that it relates theories with weak coupling to theories
with strong coupling and thus provides a new tool for tackling strongly coupled
quantum field theories, which are notoriously difficult to handle using
conventional methods. During the course of my PhD I have mostly studied time
dependent processes, in particular thermalization processes, in quantum field
theories using the AdS/CFT correspondence. On the gravity side, this is dual to
dynamical formation of black holes from the collapse of matter fields. By
studying the gravitational collapse process in detail, we can then draw
conclusions about the dynamical formation of a thermal state in the dual
quantum field theory. Using mostly numerical methods, I have studied how
confinement affects thermalization in quantum field theories, where the system
may never thermalize and field theory observables undergo interesting
quasiperiodic behaviour. I have also studied formation of black holes in three
dimensions which due to the simplified nature of three-dimensional gravity can
be done using analytical methods. This has led to the discovery of new
solutions of three-dimensional gravity corresponding to the formation of black
holes without spherical symmetry, which can provide a deeper understanding of
thermalization in two-dimensional quantum field theories. In a third line of
research, I have studied higher spin gravity in three dimensions, an exotic
extension of three-dimensional gravity which includes fields with spin higher
than two, and we outline a new method to construct black hole solutions
carrying higher spin charge.
|
[
{
"created": "Sun, 1 Sep 2019 17:27:57 GMT",
"version": "v1"
}
] |
2019-09-04
|
[
[
"Lindgren",
"Jonathan",
""
]
] |
The AdS/CFT correspondence is one of the most important discoveries in theoretical physics in recent years. It states that certain quantum mechanical theories can actually be described by classical gravity in one higher dimension, in a spacetime called anti-de Sitter (AdS) space. What makes this duality so useful is that it relates theories with weak coupling to theories with strong coupling and thus provides a new tool for tackling strongly coupled quantum field theories, which are notoriously difficult to handle using conventional methods. During the course of my PhD I have mostly studied time dependent processes, in particular thermalization processes, in quantum field theories using the AdS/CFT correspondence. On the gravity side, this is dual to dynamical formation of black holes from the collapse of matter fields. By studying the gravitational collapse process in detail, we can then draw conclusions about the dynamical formation of a thermal state in the dual quantum field theory. Using mostly numerical methods, I have studied how confinement affects thermalization in quantum field theories, where the system may never thermalize and field theory observables undergo interesting quasiperiodic behaviour. I have also studied formation of black holes in three dimensions which due to the simplified nature of three-dimensional gravity can be done using analytical methods. This has led to the discovery of new solutions of three-dimensional gravity corresponding to the formation of black holes without spherical symmetry, which can provide a deeper understanding of thermalization in two-dimensional quantum field theories. In a third line of research, I have studied higher spin gravity in three dimensions, an exotic extension of three-dimensional gravity which includes fields with spin higher than two, and we outline a new method to construct black hole solutions carrying higher spin charge.
| 6.094584
| 6.538968
| 6.483581
| 6.270788
| 6.28584
| 6.530659
| 6.152989
| 6.162142
| 6.396319
| 6.598421
| 6.369774
| 6.181474
| 6.271224
| 6.180079
| 6.175841
| 6.231738
| 6.126482
| 6.122341
| 6.104017
| 6.236511
| 6.165685
|
1005.5029
|
Anatoly Kotikov Vassilievich
|
A. V. Kotikov
|
The property of maximal transcendentality in the N=4 Supersymmetric
Yang-Mills
|
21 pages; to be published in "Subtleties in Quantum Field Theories
(Lev Lipatov Festschrift)", D. Diakonov, ed., Gatchina, 2010
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present results for the universal anomalous dimension \gamma_{uni}(j) of
Wilson twist-2 operators in the N=4 Supersymmetric Yang-Mills theory in the
first four orders of perturbation theory.
|
[
{
"created": "Thu, 27 May 2010 11:08:46 GMT",
"version": "v1"
}
] |
2010-05-28
|
[
[
"Kotikov",
"A. V.",
""
]
] |
We present results for the universal anomalous dimension \gamma_{uni}(j) of Wilson twist-2 operators in the N=4 Supersymmetric Yang-Mills theory in the first four orders of perturbation theory.
| 10.056318
| 7.304801
| 8.048872
| 6.418725
| 8.560514
| 8.586555
| 9.789641
| 7.429585
| 6.619061
| 7.755179
| 7.9357
| 7.772262
| 7.835559
| 7.894173
| 7.742526
| 8.969926
| 8.528281
| 8.82612
| 7.740942
| 8.186913
| 8.085522
|
hep-th/0110142
|
Marika Taylor-Robinson
|
Marika Taylor-Robinson
|
Higher dimensional formulation of counterterms
|
28 pages, LaTeX
| null | null | null |
hep-th
| null |
It is by now well established that divergences of the on-shell action for
asymptotically AdS solutions can be cancelled by adding covariant local
boundary counterterms to the action. Here we show that although one can still
renormalise the action for asymptotically $AdS_p \times S^q$ solutions using
local boundary counterterms the counterterm action is not covariant since the
conformal boundary is degenerate. Any given counterterm action is defined with
respect to specific coordinate frame and gauge choices.
|
[
{
"created": "Tue, 16 Oct 2001 15:11:23 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Taylor-Robinson",
"Marika",
""
]
] |
It is by now well established that divergences of the on-shell action for asymptotically AdS solutions can be cancelled by adding covariant local boundary counterterms to the action. Here we show that although one can still renormalise the action for asymptotically $AdS_p \times S^q$ solutions using local boundary counterterms the counterterm action is not covariant since the conformal boundary is degenerate. Any given counterterm action is defined with respect to specific coordinate frame and gauge choices.
| 8.960763
| 6.927519
| 9.324493
| 7.484342
| 7.735278
| 7.718878
| 7.713484
| 6.843595
| 8.107833
| 9.044592
| 7.559718
| 7.989113
| 8.309567
| 8.140622
| 8.039442
| 7.846596
| 7.807706
| 7.933381
| 8.232022
| 8.581377
| 7.665133
|
hep-th/0011289
|
Kraniotis
|
D. Bailin, G. V. Kraniotis, A. Love
|
Supersymmetric Standard Models on D-Branes
|
10 pages, LaTeX file, version to appear in Phys.Lett.B
|
Phys.Lett. B502 (2001) 209-215
|
10.1016/S0370-2693(01)00150-2
|
SUSX-TH-00-017, RHCPP 00-03T
|
hep-th hep-ph
| null |
Type IIB superstring models with the standard model gauge group on D3-branes
and with massless matter associated with open strings joining D3-branes to
D3-branes or D3-branes to ${\rm D}7_3$-branes are studied. Models with gauge
coupling constant unification at an intermediate scale between about $10^{10}$
and $10^{12}$GeV and consistency with the observed value of $\sin^2 \theta_W
(M_Z)$ are obtained. Extra vector-like states and extra pairs of Higgs doublets
play a crucial role.
|
[
{
"created": "Thu, 30 Nov 2000 17:02:29 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Dec 2000 08:45:40 GMT",
"version": "v2"
},
{
"created": "Sun, 28 Jan 2001 18:39:45 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Bailin",
"D.",
""
],
[
"Kraniotis",
"G. V.",
""
],
[
"Love",
"A.",
""
]
] |
Type IIB superstring models with the standard model gauge group on D3-branes and with massless matter associated with open strings joining D3-branes to D3-branes or D3-branes to ${\rm D}7_3$-branes are studied. Models with gauge coupling constant unification at an intermediate scale between about $10^{10}$ and $10^{12}$GeV and consistency with the observed value of $\sin^2 \theta_W (M_Z)$ are obtained. Extra vector-like states and extra pairs of Higgs doublets play a crucial role.
| 7.286105
| 5.875336
| 5.915648
| 5.80771
| 6.236558
| 6.25549
| 5.855808
| 5.977142
| 5.559288
| 7.147689
| 5.725057
| 5.918256
| 5.725431
| 5.704148
| 6.103346
| 6.004611
| 6.048238
| 5.651184
| 5.758976
| 5.765469
| 6.111887
|
2110.07623
|
Cassiano Daniel
|
Karim Benakli, Nathan Berkovits, Cassiano A. Daniel and Matheus Lize
|
Higher-Spin States of the Superstring in an Electromagnetic Background
|
36 pages + appendix, corrected statement in the introduction
| null |
10.1007/JHEP12(2021)112
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Constructing a consistent four-dimensional Lagrangian for charged massive
higher-spin fields propagating in an electromagnetic background is an open
problem. In 1989, Argyres and Nappi used bosonic open string field theory to
construct a Lagrangian for charged massive spin-2 fields in a constant
electromagnetic background. In this paper, we use the four-dimensional hybrid
formalism for open superstring field theory to construct a supersymmetric
Lagrangian for charged massive spin-2 and spin-3/2 fields in a constant
electromagnetic background. The hybrid formalism has the advantage over the RNS
formalism of manifest $\mathcal{N}=1$ d=4 spacetime supersymmetry so that the
spin-2 and spin-3/2 fields are combined into a single superfield and there is
no need for picture-changing or spin fields.
|
[
{
"created": "Thu, 14 Oct 2021 18:00:05 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Oct 2021 17:45:54 GMT",
"version": "v2"
}
] |
2022-01-05
|
[
[
"Benakli",
"Karim",
""
],
[
"Berkovits",
"Nathan",
""
],
[
"Daniel",
"Cassiano A.",
""
],
[
"Lize",
"Matheus",
""
]
] |
Constructing a consistent four-dimensional Lagrangian for charged massive higher-spin fields propagating in an electromagnetic background is an open problem. In 1989, Argyres and Nappi used bosonic open string field theory to construct a Lagrangian for charged massive spin-2 fields in a constant electromagnetic background. In this paper, we use the four-dimensional hybrid formalism for open superstring field theory to construct a supersymmetric Lagrangian for charged massive spin-2 and spin-3/2 fields in a constant electromagnetic background. The hybrid formalism has the advantage over the RNS formalism of manifest $\mathcal{N}=1$ d=4 spacetime supersymmetry so that the spin-2 and spin-3/2 fields are combined into a single superfield and there is no need for picture-changing or spin fields.
| 4.802879
| 4.381003
| 4.953405
| 4.16608
| 4.534061
| 4.557663
| 4.968825
| 4.292077
| 4.224557
| 4.965228
| 4.49357
| 4.348182
| 4.617448
| 4.45221
| 4.352921
| 4.268102
| 4.323337
| 4.428888
| 4.42415
| 4.643761
| 4.366402
|
1708.08066
|
Shin Sasaki
|
Shin Sasaki, Masaya Yata
|
Gauge Five-brane Solutions of Co-dimension Two in Heterotic Supergravity
|
24 pages, 4 figures, typos corrected, version published in JHEP
|
JHEP 10 (2017) 214
|
10.1007/JHEP10(2017)214
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We continue to study the BPS gauge five-brane solutions of codimension two in
ten-dimensional heterotic supergravity. The geometry including the dilaton and
the NS-NS $B$-field are sourced from the monopole chain in $\mathbb{R}^2 \times
S^1$. We find that the geometry is asymptotically Ricci flat and the dilaton is
no longer imaginary valued. These properties are contrasted with the smeared
counterpart discussed in our previous paper. We perform the T-duality
transformations of the solution and find that it never results in a
non-geometric object.
|
[
{
"created": "Sun, 27 Aug 2017 08:42:20 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Nov 2017 03:45:51 GMT",
"version": "v2"
}
] |
2018-01-17
|
[
[
"Sasaki",
"Shin",
""
],
[
"Yata",
"Masaya",
""
]
] |
We continue to study the BPS gauge five-brane solutions of codimension two in ten-dimensional heterotic supergravity. The geometry including the dilaton and the NS-NS $B$-field are sourced from the monopole chain in $\mathbb{R}^2 \times S^1$. We find that the geometry is asymptotically Ricci flat and the dilaton is no longer imaginary valued. These properties are contrasted with the smeared counterpart discussed in our previous paper. We perform the T-duality transformations of the solution and find that it never results in a non-geometric object.
| 10.771275
| 9.75553
| 10.702695
| 8.962703
| 9.328934
| 10.195709
| 10.079669
| 9.86036
| 9.595634
| 11.860787
| 9.387548
| 9.788552
| 10.267204
| 9.82961
| 9.601998
| 9.552513
| 9.582504
| 9.51794
| 9.962486
| 10.34758
| 9.512837
|
1001.0912
|
Brandon Carter
|
Brandon Carter
|
Fields in nonaffine bundles. IV. Harmonious non-Abelian currents in
string defects
|
22 pages Latex
|
Phys.Rev.D82:103531,2010
|
10.1103/PhysRevD.82.103531
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This article continues the study of the category of harmonious field models
that was recently introduced as a kinetically non-linear generalisation of the
well known harmonic category of multiscalar fields over a supporting brane
wordsheet in a target space with a curved Riemannian metric. Like the perfectly
harmonious case of which a familiar example is provided by ordinary barotropic
perfect fluids, another important subcategory is the simply harmonious case,
for which it is shown that as well as ``wiggle'' modes of the underlying brane
world sheet, and sound type longitudinal modes, there will also be transverse
shake modes that propagate at the speed of light. Models of this type are shown
to arise from a non-Abelian generalisation of the Witten mechanism for
conducting string formation by ordinary scalar fields with a suitable quartic
self coupling term in the action.
|
[
{
"created": "Wed, 6 Jan 2010 15:04:45 GMT",
"version": "v1"
}
] |
2010-12-23
|
[
[
"Carter",
"Brandon",
""
]
] |
This article continues the study of the category of harmonious field models that was recently introduced as a kinetically non-linear generalisation of the well known harmonic category of multiscalar fields over a supporting brane wordsheet in a target space with a curved Riemannian metric. Like the perfectly harmonious case of which a familiar example is provided by ordinary barotropic perfect fluids, another important subcategory is the simply harmonious case, for which it is shown that as well as ``wiggle'' modes of the underlying brane world sheet, and sound type longitudinal modes, there will also be transverse shake modes that propagate at the speed of light. Models of this type are shown to arise from a non-Abelian generalisation of the Witten mechanism for conducting string formation by ordinary scalar fields with a suitable quartic self coupling term in the action.
| 21.502016
| 25.872528
| 22.68507
| 22.598074
| 23.328802
| 25.021658
| 24.860357
| 23.802334
| 23.412481
| 26.493361
| 21.276781
| 23.363897
| 21.775097
| 21.151402
| 21.395298
| 22.073374
| 22.210262
| 22.29878
| 22.171148
| 21.790243
| 21.165443
|
1905.08807
|
Steven B. Giddings
|
Steven B. Giddings
|
Black holes in the quantum universe
|
11 pages + refs
| null |
10.1098/rsta.2019.0029
|
CERN-TH-2019-077
|
hep-th astro-ph.HE gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A succinct summary is given of the problem of reconciling observation of
black hole-like objects with quantum mechanics. If quantum black holes behave
like subsystems, and also decay, their information must be transferred to their
environments. Interactions that accomplish this with `minimal' departure from a
standard description are parameterized. Possible sensitivity of gravitational
wave or very long baseline interferometric observations to these interactions
is briefly outlined.
|
[
{
"created": "Tue, 21 May 2019 18:00:01 GMT",
"version": "v1"
}
] |
2020-07-01
|
[
[
"Giddings",
"Steven B.",
""
]
] |
A succinct summary is given of the problem of reconciling observation of black hole-like objects with quantum mechanics. If quantum black holes behave like subsystems, and also decay, their information must be transferred to their environments. Interactions that accomplish this with `minimal' departure from a standard description are parameterized. Possible sensitivity of gravitational wave or very long baseline interferometric observations to these interactions is briefly outlined.
| 23.554684
| 21.086601
| 21.260986
| 19.06086
| 18.90811
| 21.240953
| 22.665947
| 17.804884
| 20.882397
| 19.312986
| 21.8741
| 21.181118
| 18.418865
| 18.841578
| 19.539459
| 19.973082
| 19.965622
| 19.094719
| 19.612923
| 18.403528
| 21.404741
|
1202.1514
|
Kazuya Yonekura
|
Kazuya Yonekura
|
On the Trace Anomaly and the Anomaly Puzzle in N=1 Pure Yang-Mills
|
25 pages, 1 figure; v2:slight correction in sec.5, minor addition in
appendix
| null |
10.1007/JHEP03(2012)029
|
UT-12-01, IPMU-12-0014
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The trace anomaly of the energy-momentum tensor is usually quoted in the form
which is proportional to the beta function of the theory. However, there are in
general many definitions of gauge couplings depending on renormalization
schemes, and hence many beta functions. In particular, N=1 supersymmetric pure
Yang-Mills has the holomorphic gauge coupling whose beta function is one-loop
exact, and the canonical gauge coupling whose beta function is given by the
Novikov-Shifman-Vainshtein-Zakharov beta function. In this paper, we study
which beta function should appear in the trace anomaly in N=1 pure Yang-Mills.
We calculate the trace anomaly by employing the N=4 regularization of N=1 pure
Yang-Mills. It is shown that the trace anomaly is given by one-loop exact form
if the composite operator appearing in the trace anomaly is renormalized in a
preferred way. This result gives the simplest resolution to the anomaly puzzle
in N=1 pure Yang-Mills. The most important point is to examine in which scheme
the quantum action principle is valid, which is crucial in the derivation of
the trace anomaly.
|
[
{
"created": "Tue, 7 Feb 2012 20:18:40 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Feb 2012 12:59:41 GMT",
"version": "v2"
}
] |
2015-06-04
|
[
[
"Yonekura",
"Kazuya",
""
]
] |
The trace anomaly of the energy-momentum tensor is usually quoted in the form which is proportional to the beta function of the theory. However, there are in general many definitions of gauge couplings depending on renormalization schemes, and hence many beta functions. In particular, N=1 supersymmetric pure Yang-Mills has the holomorphic gauge coupling whose beta function is one-loop exact, and the canonical gauge coupling whose beta function is given by the Novikov-Shifman-Vainshtein-Zakharov beta function. In this paper, we study which beta function should appear in the trace anomaly in N=1 pure Yang-Mills. We calculate the trace anomaly by employing the N=4 regularization of N=1 pure Yang-Mills. It is shown that the trace anomaly is given by one-loop exact form if the composite operator appearing in the trace anomaly is renormalized in a preferred way. This result gives the simplest resolution to the anomaly puzzle in N=1 pure Yang-Mills. The most important point is to examine in which scheme the quantum action principle is valid, which is crucial in the derivation of the trace anomaly.
| 5.800502
| 6.269223
| 6.115237
| 5.9616
| 6.273082
| 6.290995
| 6.047997
| 6.066763
| 5.853967
| 7.132146
| 6.064916
| 6.061853
| 6.079827
| 5.828877
| 6.066191
| 5.988675
| 6.195724
| 5.998201
| 5.983973
| 6.124004
| 5.870424
|
1808.04981
|
Deepali Mishra
|
Deepali Mishra, Yogesh K. Srivastava, Amitabh Virmani
|
A Generalised Garfinkle-Vachaspati Transform
|
40 pages, no figures
| null |
10.1007/s10714-018-2477-y
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Garfinkle-Vachaspati transform is a deformation of a metric in terms of a
null, hypersurface orthogonal, Killing vector $k^\mu$. We explore a
generalisation of this deformation in type IIB supergravity taking motivation
from certain studies of the D1-D5 system. We consider solutions of minimal
six-dimensional supergravity admitting null Killing vector $k^\mu$ trivially
lifted to type IIB supergravity by the addition of four-torus directions. The
torus directions provide covariantly constant spacelike vectors $l^\mu$. We
show that the original solution can be deformed as $g_{\mu \nu} \to g_{\mu \nu}
+ 2 \Phi k_{(\mu}l_{\nu)}, C_{\mu \nu} \to C_{\mu \nu} - 2 \Phi
k_{[\mu}l_{\nu]}$, provided the two-form supporting the original spacetime
satisfies $i_k (dC) = - d k$, and where $\Phi$ satisfies the equation of a
minimal massless scalar field on the original spacetime. We show that the
condition $i_k (dC) = - d k$ is satisfied by all supersymmetric solutions
admitting null Killing vector. Hence all supersymmetric solutions of minimal
six-dimensional supergravity can be deformed via this method. As an example of
our approach, we work out the deformation on a class of D1-D5-P geometries with
orbifolds. We show that the deformed spacetimes are smooth and identify their
CFT description. Using Bena-Warner formalism, we also express the deformed
solutions in other duality frames.
|
[
{
"created": "Wed, 15 Aug 2018 06:37:36 GMT",
"version": "v1"
}
] |
2018-11-28
|
[
[
"Mishra",
"Deepali",
""
],
[
"Srivastava",
"Yogesh K.",
""
],
[
"Virmani",
"Amitabh",
""
]
] |
The Garfinkle-Vachaspati transform is a deformation of a metric in terms of a null, hypersurface orthogonal, Killing vector $k^\mu$. We explore a generalisation of this deformation in type IIB supergravity taking motivation from certain studies of the D1-D5 system. We consider solutions of minimal six-dimensional supergravity admitting null Killing vector $k^\mu$ trivially lifted to type IIB supergravity by the addition of four-torus directions. The torus directions provide covariantly constant spacelike vectors $l^\mu$. We show that the original solution can be deformed as $g_{\mu \nu} \to g_{\mu \nu} + 2 \Phi k_{(\mu}l_{\nu)}, C_{\mu \nu} \to C_{\mu \nu} - 2 \Phi k_{[\mu}l_{\nu]}$, provided the two-form supporting the original spacetime satisfies $i_k (dC) = - d k$, and where $\Phi$ satisfies the equation of a minimal massless scalar field on the original spacetime. We show that the condition $i_k (dC) = - d k$ is satisfied by all supersymmetric solutions admitting null Killing vector. Hence all supersymmetric solutions of minimal six-dimensional supergravity can be deformed via this method. As an example of our approach, we work out the deformation on a class of D1-D5-P geometries with orbifolds. We show that the deformed spacetimes are smooth and identify their CFT description. Using Bena-Warner formalism, we also express the deformed solutions in other duality frames.
| 6.245938
| 6.262221
| 6.699538
| 6.140719
| 6.899187
| 6.44675
| 6.725742
| 6.365794
| 6.080353
| 7.106616
| 5.948709
| 6.043021
| 6.181685
| 5.958379
| 6.060528
| 6.063435
| 5.984746
| 6.034802
| 6.001177
| 6.343516
| 5.955675
|
1401.0888
|
Francesco Nitti
|
Elias Kiritsis, Wenliang Li and Francesco Nitti
|
Holographic RG flow and the Quantum Effective Action
|
85 pages, 6 figures. v2: three subsections and one appendix added
with a more detailed discussion of local RG transformations, RG invariance of
the renormalized action, trace identities and scheme dependence; discussion
added about the distinction between RG-invariant and RG scale-dependent
operators; details added in sections 6 and 7; typos corrected, references
added
|
Fortschr. Phys. 62, No. 5-6, 389-454 (2014)
|
10.1002/prop.201400007
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The calculation of the full (renormalized) holographic action is undertaken
in general Einstein-scalar theories. The appropriate formalism is developed and
the renormalized effective action is calculated up to two derivatives in the
metric and scalar operators. The holographic RG equations involve Ricci flow
for the space-time metric as well as the standard $\beta$-function flow for
scalar operators. Several examples are analyzed and the effective action is
calculated. A set of conserved quantities of the holographic flow is found,
whose interpretation is not yet understood.
|
[
{
"created": "Sun, 5 Jan 2014 12:37:32 GMT",
"version": "v1"
},
{
"created": "Fri, 31 Jan 2014 16:01:53 GMT",
"version": "v2"
}
] |
2014-06-26
|
[
[
"Kiritsis",
"Elias",
""
],
[
"Li",
"Wenliang",
""
],
[
"Nitti",
"Francesco",
""
]
] |
The calculation of the full (renormalized) holographic action is undertaken in general Einstein-scalar theories. The appropriate formalism is developed and the renormalized effective action is calculated up to two derivatives in the metric and scalar operators. The holographic RG equations involve Ricci flow for the space-time metric as well as the standard $\beta$-function flow for scalar operators. Several examples are analyzed and the effective action is calculated. A set of conserved quantities of the holographic flow is found, whose interpretation is not yet understood.
| 11.038753
| 10.899836
| 11.014329
| 9.647743
| 11.2216
| 10.132849
| 9.553262
| 10.357848
| 10.713951
| 11.589351
| 10.307206
| 10.367624
| 10.828085
| 10.695621
| 10.583842
| 10.658875
| 10.589474
| 10.520722
| 10.299174
| 11.098742
| 10.02296
|
hep-th/9607173
|
Marcelo Ubriaco
|
Marcelo R. Ubriaco
|
High and low temperature behavior of a quantum group fermion gas
|
LaTeX file, 14 pages, 2 figures, uses psfig.sty
|
Mod.Phys.Lett. A11 (1996) 2325-2334
|
10.1142/S0217732396002319
| null |
hep-th
| null |
We consider the simplest $SU_{q}(2)$ invariant fermionic hamiltonian and
calculate the low and high temperature behavior for the two distinct cases
$q>1$ and $q<1$. For low temperatures we find that entropy values for the Fermi
case are an upper bound for those corresponding to $q\neq 1$. At high
temperatures we find that the sign of the second virial coefficient depends on
$q$, and vanishes at $q=1.96$.
An important consequence of this fact is that the parameter $q$ connects the
fermionic and bosonic regions, showing therefore that $SU_{q}(2)$ fermions
exhibit fractional statistics in three spatial dimensions.
|
[
{
"created": "Mon, 22 Jul 1996 16:59:00 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Ubriaco",
"Marcelo R.",
""
]
] |
We consider the simplest $SU_{q}(2)$ invariant fermionic hamiltonian and calculate the low and high temperature behavior for the two distinct cases $q>1$ and $q<1$. For low temperatures we find that entropy values for the Fermi case are an upper bound for those corresponding to $q\neq 1$. At high temperatures we find that the sign of the second virial coefficient depends on $q$, and vanishes at $q=1.96$. An important consequence of this fact is that the parameter $q$ connects the fermionic and bosonic regions, showing therefore that $SU_{q}(2)$ fermions exhibit fractional statistics in three spatial dimensions.
| 9.132096
| 9.172675
| 10.024099
| 9.088077
| 9.331841
| 8.914267
| 9.189315
| 8.777131
| 8.48263
| 10.368873
| 8.740712
| 8.637079
| 9.714685
| 8.688342
| 8.78235
| 8.902974
| 8.443784
| 8.805068
| 9.115843
| 9.265033
| 8.65098
|
1206.2383
|
Pablo G. Camara
|
Mikel Berasaluce-Gonzalez, Pablo G. Camara, Fernando Marchesano, Diego
Regalado and Angel M. Uranga
|
Non-Abelian discrete gauge symmetries in 4d string models
|
58 pages; minor typos corrected and references added
| null |
10.1007/JHEP09(2012)059
|
IFT-UAM/CSIC-12-53
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the realization of non-Abelian discrete gauge symmetries in 4d field
theory and string theory compactifications. The underlying structure
generalizes the Abelian case, and follows from the interplay between gaugings
of non-Abelian isometries of the scalar manifold and field identifications
making axion-like fields periodic. We present several classes of string
constructions realizing non-Abelian discrete gauge symmetries. In particular,
compactifications with torsion homology classes, where non-Abelianity arises
microscopically from the Hanany-Witten effect, or compactifications with
non-Abelian discrete isometry groups, like twisted tori. We finally focus on
the more interesting case of magnetized branes in toroidal compactifications
and quotients thereof (and their heterotic and intersecting duals), in which
the non-Abelian discrete gauge symmetries imply powerful selection rules for
Yukawa couplings of charged matter fields. In particular, in MSSM-like models
they correspond to discrete flavour symmetries constraining the quark and
lepton mass matrices, as we show in specific examples.
|
[
{
"created": "Mon, 11 Jun 2012 21:33:16 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Aug 2012 16:45:02 GMT",
"version": "v2"
}
] |
2015-06-05
|
[
[
"Berasaluce-Gonzalez",
"Mikel",
""
],
[
"Camara",
"Pablo G.",
""
],
[
"Marchesano",
"Fernando",
""
],
[
"Regalado",
"Diego",
""
],
[
"Uranga",
"Angel M.",
""
]
] |
We study the realization of non-Abelian discrete gauge symmetries in 4d field theory and string theory compactifications. The underlying structure generalizes the Abelian case, and follows from the interplay between gaugings of non-Abelian isometries of the scalar manifold and field identifications making axion-like fields periodic. We present several classes of string constructions realizing non-Abelian discrete gauge symmetries. In particular, compactifications with torsion homology classes, where non-Abelianity arises microscopically from the Hanany-Witten effect, or compactifications with non-Abelian discrete isometry groups, like twisted tori. We finally focus on the more interesting case of magnetized branes in toroidal compactifications and quotients thereof (and their heterotic and intersecting duals), in which the non-Abelian discrete gauge symmetries imply powerful selection rules for Yukawa couplings of charged matter fields. In particular, in MSSM-like models they correspond to discrete flavour symmetries constraining the quark and lepton mass matrices, as we show in specific examples.
| 7.748787
| 7.840426
| 8.728771
| 7.609116
| 8.704081
| 9.0268
| 8.236779
| 7.431353
| 7.832367
| 9.051597
| 7.561921
| 7.774537
| 7.735158
| 7.490515
| 7.898409
| 7.623137
| 7.821866
| 7.474317
| 7.389655
| 7.912405
| 7.383582
|
0805.1685
|
Giuseppe De Risi
|
G. De Risi
|
Non-singular Brane cosmology with a Kalb-Ramond field
|
Talk given at the "43rd Rencontres de Moriond", La Thuile (Val
d'Aosta, Italy), March 15 - 22, 2008
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a model in which a 3-brane is embedded in a warped 5-dimensional
background with a dilaton and a Kalb-Ramond 2-form. We show that it is possible
to find static solutions of the form of charged dS/AdS-like black hole which
could have a negative mass parameter. The motion of the 3-brane in this bulk
generates an effective 4-dimensional bouncing cosmology induced by the negative
dark radiation term. This model avoids the instabilities that arises for
previous non-singular braneworld cosmologies in a Reissner-Nordstr{\o}m-AdS
bulk.}
|
[
{
"created": "Mon, 12 May 2008 16:56:12 GMT",
"version": "v1"
}
] |
2008-05-13
|
[
[
"De Risi",
"G.",
""
]
] |
We present a model in which a 3-brane is embedded in a warped 5-dimensional background with a dilaton and a Kalb-Ramond 2-form. We show that it is possible to find static solutions of the form of charged dS/AdS-like black hole which could have a negative mass parameter. The motion of the 3-brane in this bulk generates an effective 4-dimensional bouncing cosmology induced by the negative dark radiation term. This model avoids the instabilities that arises for previous non-singular braneworld cosmologies in a Reissner-Nordstr{\o}m-AdS bulk.}
| 9.828557
| 7.496537
| 10.077208
| 8.36974
| 7.538501
| 7.753041
| 7.482515
| 7.84346
| 8.707273
| 10.476251
| 7.881881
| 8.77707
| 9.270256
| 8.756308
| 8.527032
| 8.566764
| 8.44788
| 8.489667
| 8.603612
| 9.537248
| 8.828865
|
1308.1163
|
Shoichi Ichinose
|
Shoichi Ichinose
|
New Approach to Cosmological Fluctuation using the Background Field
Method and CMB Power Spectrum
|
6 pages, 5 figures, Presentation at
APPC12(Makuhari,Chiba,Japan,2013.7.14-19), JPS Conference Proceedings (in
press)
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A new field theory formulation is presented for the analysis of the CMB power
spectrum distribution in the cosmology. The background-field formalism is fully
used. Stimulated by the recent idea of the {\it emergent} gravity, the
gravitational (metric) field $g_\mn$ is not taken as the quantum-field, but as
the background field. The statistical fluctuation effect of the metric field is
taken into account by the path (hyper-surface)-integral over the space-time.
Using a simple scalar model on the curved (dS$_4$) space-time, we explain the
above things with the following additional points: 1) Clear separate treatment
of the classical effect, the statistical effect and the quantum effect; 2) The
cosmological fluctuation comes not from the 'quantum' gravity but from the
unkown 'microscopic' movement; 3) IR parameter ($\ell$) is introduced for the
time axis as the periodicity. Time reversal(Z$_2$)-symmetry is introduced in
order to treat the problem separately with respect to the Z$_2$ parity. This
procedure much helps both UV and IR regularization to work well.
|
[
{
"created": "Tue, 6 Aug 2013 03:00:46 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Oct 2013 06:09:53 GMT",
"version": "v2"
},
{
"created": "Mon, 21 Oct 2013 03:16:49 GMT",
"version": "v3"
}
] |
2013-10-22
|
[
[
"Ichinose",
"Shoichi",
""
]
] |
A new field theory formulation is presented for the analysis of the CMB power spectrum distribution in the cosmology. The background-field formalism is fully used. Stimulated by the recent idea of the {\it emergent} gravity, the gravitational (metric) field $g_\mn$ is not taken as the quantum-field, but as the background field. The statistical fluctuation effect of the metric field is taken into account by the path (hyper-surface)-integral over the space-time. Using a simple scalar model on the curved (dS$_4$) space-time, we explain the above things with the following additional points: 1) Clear separate treatment of the classical effect, the statistical effect and the quantum effect; 2) The cosmological fluctuation comes not from the 'quantum' gravity but from the unkown 'microscopic' movement; 3) IR parameter ($\ell$) is introduced for the time axis as the periodicity. Time reversal(Z$_2$)-symmetry is introduced in order to treat the problem separately with respect to the Z$_2$ parity. This procedure much helps both UV and IR regularization to work well.
| 17.019442
| 17.9545
| 16.974646
| 15.77933
| 17.471979
| 17.790565
| 17.856934
| 17.00186
| 16.020128
| 18.970814
| 16.525007
| 16.373634
| 16.687256
| 16.79751
| 16.461891
| 16.530802
| 16.799694
| 16.816839
| 16.604088
| 16.805553
| 16.637701
|
hep-th/0301228
|
Sohrab Rahvar
|
R. Mansouri, M. Borhani, S. Khakshournia
|
Spherically Symmetric Thick Branes in Vacuum
|
8 pages
|
Int.J.Mod.Phys.A19:4687-4694,2004
|
10.1142/S0217751X04019652
| null |
hep-th
| null |
We consider a spherical thick 3-brane immersed in a five-dimensional bulk
spacetime. We demonstrate how the thick brane equation of motion expanded in
powers of the thickness of the brane can be obtained from the expected junction
conditions on the boundaries of thick brane with the two embedding spacetimes.
It is shown that the finite thickness leads to a faster collapse of the
spherical shell.
|
[
{
"created": "Tue, 28 Jan 2003 12:15:05 GMT",
"version": "v1"
}
] |
2010-11-19
|
[
[
"Mansouri",
"R.",
""
],
[
"Borhani",
"M.",
""
],
[
"Khakshournia",
"S.",
""
]
] |
We consider a spherical thick 3-brane immersed in a five-dimensional bulk spacetime. We demonstrate how the thick brane equation of motion expanded in powers of the thickness of the brane can be obtained from the expected junction conditions on the boundaries of thick brane with the two embedding spacetimes. It is shown that the finite thickness leads to a faster collapse of the spherical shell.
| 12.770298
| 11.480679
| 11.652232
| 10.749437
| 11.525567
| 11.661735
| 12.487502
| 11.745772
| 13.5282
| 12.275104
| 13.263375
| 12.228406
| 11.830088
| 12.281869
| 11.521539
| 11.860307
| 12.004424
| 11.554353
| 12.228814
| 11.484366
| 11.875278
|
1412.0936
|
Driba Tolla Dr.
|
Loriano Bonora and Driba D.Tolla
|
Comments on lump solutions in SFT
|
30 pages, no figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyze a recently proposed scheme to construct analytic lump solutions in
open SFT. We argue that in order for the scheme to be operative and guarantee
background independence it must be implemented in the same 2D conformal field
theory in which SFT is formulated. We outline and discuss two different
possible approaches. Next we reconsider an older proposal for analytic lump
solutions and implement a few improvements. In the course of the analysis we
formulate a distinction between regular and singular gauge transformations and
advocate the necessity of defining a topology in the space of string fields.
|
[
{
"created": "Tue, 2 Dec 2014 14:47:55 GMT",
"version": "v1"
}
] |
2014-12-03
|
[
[
"Bonora",
"Loriano",
""
],
[
"Tolla",
"Driba D.",
""
]
] |
We analyze a recently proposed scheme to construct analytic lump solutions in open SFT. We argue that in order for the scheme to be operative and guarantee background independence it must be implemented in the same 2D conformal field theory in which SFT is formulated. We outline and discuss two different possible approaches. Next we reconsider an older proposal for analytic lump solutions and implement a few improvements. In the course of the analysis we formulate a distinction between regular and singular gauge transformations and advocate the necessity of defining a topology in the space of string fields.
| 16.244219
| 14.900096
| 15.966528
| 14.969144
| 14.140704
| 14.237214
| 14.505908
| 13.408651
| 15.466341
| 16.718147
| 14.857431
| 15.277612
| 15.692503
| 14.981802
| 15.106742
| 14.943181
| 15.037144
| 15.168814
| 15.084038
| 14.686119
| 14.783341
|
1904.01876
|
Peng-Xiang Hao
|
Bin Chen, Peng-Xiang Hao, Wei Song
|
R\'enyi Mutual Information in Holographic Warped CFTs
|
41 pages; minor revision, note added
| null |
10.1007/JHEP10(2019)037
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The study of R\'enyi mutual information (RMI) sheds light on the AdS/CFT
correspondence beyond classical order. In this article, we study the R\'enyi
mutual information between two intervals at large distance in two-dimensional
holographic warped conformal field theory, which is conjectured to be dual to
the gravity on AdS3 or warped AdS3 spacetime under the Dirichlet-Newman
boundary conditions. By using the operator product expansion of twist operators
up to level 3, we read the leading oder and the next-toleading order RMI in the
large central charge and small cross-ratio limits. The leading order result is
furthermore confirmed using the conformal block expansion. Finally, we match
the next-to-leading result by a 1-loop calculation in the bulk.
|
[
{
"created": "Wed, 3 Apr 2019 09:32:47 GMT",
"version": "v1"
},
{
"created": "Fri, 24 May 2019 10:28:23 GMT",
"version": "v2"
}
] |
2020-01-08
|
[
[
"Chen",
"Bin",
""
],
[
"Hao",
"Peng-Xiang",
""
],
[
"Song",
"Wei",
""
]
] |
The study of R\'enyi mutual information (RMI) sheds light on the AdS/CFT correspondence beyond classical order. In this article, we study the R\'enyi mutual information between two intervals at large distance in two-dimensional holographic warped conformal field theory, which is conjectured to be dual to the gravity on AdS3 or warped AdS3 spacetime under the Dirichlet-Newman boundary conditions. By using the operator product expansion of twist operators up to level 3, we read the leading oder and the next-toleading order RMI in the large central charge and small cross-ratio limits. The leading order result is furthermore confirmed using the conformal block expansion. Finally, we match the next-to-leading result by a 1-loop calculation in the bulk.
| 9.784051
| 7.865765
| 10.45578
| 8.008832
| 8.269944
| 8.366286
| 8.75701
| 7.88763
| 8.181737
| 10.663753
| 7.869449
| 8.578473
| 9.342285
| 8.66333
| 8.649349
| 8.34866
| 8.675806
| 8.597228
| 8.668974
| 9.333514
| 8.736408
|
hep-th/9205036
|
Kareljan Schoutens
|
Alfred S. Goldhaber
|
Solitons with integer fermion number
|
12 pages
| null | null |
ITP-SB-92-08
|
hep-th
| null |
Necessary and sufficient conditions are found for any object in $3+1$
dimensions to have integer rather than fractional fermion number. Nontrivial
examples include the Jackiw-Rebbi monopole and the already well studied
Su-Schrieffer-Heeger soliton, both displaying integer multiples of elementary
charges in combinations that normally are forbidden.
|
[
{
"created": "Wed, 13 May 1992 20:27:18 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Goldhaber",
"Alfred S.",
""
]
] |
Necessary and sufficient conditions are found for any object in $3+1$ dimensions to have integer rather than fractional fermion number. Nontrivial examples include the Jackiw-Rebbi monopole and the already well studied Su-Schrieffer-Heeger soliton, both displaying integer multiples of elementary charges in combinations that normally are forbidden.
| 16.615107
| 14.596529
| 15.758554
| 14.798221
| 16.691769
| 17.361031
| 17.163513
| 14.444695
| 14.356317
| 19.192581
| 14.598433
| 14.837307
| 14.909769
| 14.47485
| 14.598352
| 13.490329
| 14.685017
| 13.793583
| 14.157523
| 14.346196
| 13.562549
|
2107.06069
|
Istvan Nandori
|
I. G. Marian, U. D. Jentschura, N. Defenu, A. Trombettoni, I. Nandori
|
Vacuum Energy and Renormalization of the Field-Independent Term
|
19 pages, 4 figures, final version published in JCAP
|
JCAP 03 (2022) 062
|
10.1088/1475-7516/2022/03/062
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Due to its construction, the nonperturbative renormalization group (RG)
evolution of the constant, field-independent term (which is constant with
respect to field variations but depends on the RG scale $k$) requires special
care within the Functional Renormalization Group (FRG) approach. In several
instances, the constant term of the potential has no physical meaning. However,
there are special cases where it receives important applications. In low
dimensions ($d=1$), in a quantum mechanical model, this term is associated with
the ground-state energy of the anharmonic oscillator. In higher dimensions
($d=4$), it is identical to the $\Lambda$ term of the Einstein equations and it
plays a role in cosmic inflation. Thus, in statistical field theory, in flat
space, the constant term could be associated with the free energy, while in
curved space, it could be naturally associated with the cosmological constant.
It is known that one has to use a subtraction method for the quantum anharmonic
oscillator in $d=1$ to remove the $k^2$ term that appears in the RG flow in its
high-energy (UV) limit in order to recover the correct results for the
ground-state energy. The subtraction is needed because the Gaussian fixed point
is missing in the RG flow once the constant term is included. However, if the
Gaussian fixed point is there, no further subtraction is required. Here, we
propose a subtraction method for $k^4$ and $k^2$ terms of the UV scaling of the
RG equations for $d=4$ dimensions if the Gaussian fixed point is missing in the
RG flow with the constant term. Finally, comments on the application of our
results to cosmological models are provided.
|
[
{
"created": "Thu, 24 Jun 2021 11:34:09 GMT",
"version": "v1"
},
{
"created": "Thu, 31 Mar 2022 08:51:05 GMT",
"version": "v2"
}
] |
2022-04-01
|
[
[
"Marian",
"I. G.",
""
],
[
"Jentschura",
"U. D.",
""
],
[
"Defenu",
"N.",
""
],
[
"Trombettoni",
"A.",
""
],
[
"Nandori",
"I.",
""
]
] |
Due to its construction, the nonperturbative renormalization group (RG) evolution of the constant, field-independent term (which is constant with respect to field variations but depends on the RG scale $k$) requires special care within the Functional Renormalization Group (FRG) approach. In several instances, the constant term of the potential has no physical meaning. However, there are special cases where it receives important applications. In low dimensions ($d=1$), in a quantum mechanical model, this term is associated with the ground-state energy of the anharmonic oscillator. In higher dimensions ($d=4$), it is identical to the $\Lambda$ term of the Einstein equations and it plays a role in cosmic inflation. Thus, in statistical field theory, in flat space, the constant term could be associated with the free energy, while in curved space, it could be naturally associated with the cosmological constant. It is known that one has to use a subtraction method for the quantum anharmonic oscillator in $d=1$ to remove the $k^2$ term that appears in the RG flow in its high-energy (UV) limit in order to recover the correct results for the ground-state energy. The subtraction is needed because the Gaussian fixed point is missing in the RG flow once the constant term is included. However, if the Gaussian fixed point is there, no further subtraction is required. Here, we propose a subtraction method for $k^4$ and $k^2$ terms of the UV scaling of the RG equations for $d=4$ dimensions if the Gaussian fixed point is missing in the RG flow with the constant term. Finally, comments on the application of our results to cosmological models are provided.
| 7.742557
| 7.946695
| 7.901504
| 7.531601
| 8.267911
| 7.998822
| 8.054852
| 7.550738
| 7.695851
| 8.302108
| 7.744569
| 7.524149
| 7.286414
| 7.47535
| 7.527134
| 7.468825
| 7.634554
| 7.381383
| 7.669334
| 7.469103
| 7.446667
|
hep-th/9505158
|
Hector DE Vega
|
H.J. de Vega
|
STRINGS IN COSMOLOGICAL SPACETIMES AND THEIR BACK-REACTION
|
Lecture delivered at STRINGS '95, Future Perspectives in String
Theory, USC, Los Angeles, march 13 - 18, 1995, 12 pages, LaTex
| null | null | null |
hep-th
| null |
This is a short review on strings in curved spacetimes. We start by recalling
the classical and quantum string behaviour in singular plane waves backgrounds.
We then report on the string behaviour in cosmological spacetimes (FRW, de
Sitter, power inflation) which is by now largerly understood. Recent progress
on self-consistent solutions to the Einstein equations for string dominated
universes is reviewed. The energy-momentum tensor for a gas of strings is
considered as source of the spacetime geometry. The string equation of state is
determined from the behaviour of the explicit string solutions. This yields a
self-consistent cosmological solution exhibiting realistic matter dominated
behaviour $ R \sim (T)^{2/3}\; $ for large times and radiation dominated
behaviour $ R \sim (T)^{1/2}\; $ for early times. Inflation in the string
theory context is discussed.
|
[
{
"created": "Thu, 25 May 1995 12:55:02 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"de Vega",
"H. J.",
""
]
] |
This is a short review on strings in curved spacetimes. We start by recalling the classical and quantum string behaviour in singular plane waves backgrounds. We then report on the string behaviour in cosmological spacetimes (FRW, de Sitter, power inflation) which is by now largerly understood. Recent progress on self-consistent solutions to the Einstein equations for string dominated universes is reviewed. The energy-momentum tensor for a gas of strings is considered as source of the spacetime geometry. The string equation of state is determined from the behaviour of the explicit string solutions. This yields a self-consistent cosmological solution exhibiting realistic matter dominated behaviour $ R \sim (T)^{2/3}\; $ for large times and radiation dominated behaviour $ R \sim (T)^{1/2}\; $ for early times. Inflation in the string theory context is discussed.
| 9.528938
| 8.970571
| 9.654992
| 8.636812
| 9.317417
| 9.463019
| 9.81268
| 9.067829
| 9.206779
| 9.902913
| 8.481207
| 9.089971
| 8.476577
| 8.547549
| 8.721677
| 9.260207
| 8.977894
| 8.88005
| 8.729651
| 8.73157
| 8.729254
|
1309.4318
|
Aliaksei Halavanau
|
A. Halavanau and Yakov Shnir
|
Isorotating Baby Skyrmions
|
12pages, 6 figures
|
Phys. Rev. D 88, 085028 (2013)
|
10.1103/PhysRevD.88.085028
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss how internal rotation with fixed angular frequency can affect the
solitons in the baby Skyrme model in which the global O(3) symmetry is broken
to the SO(2). Two particular choices of the potential term are considered, the
"old" potential and the "new" double vacuum potential, We do not impose any
assumptions about the symmetry on the fields. Our results confirm existence of
two types of instabilities determined by the relation between the mass
parameter of the potential and the angular frequency.
|
[
{
"created": "Tue, 17 Sep 2013 14:15:48 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Oct 2013 16:54:25 GMT",
"version": "v2"
}
] |
2013-10-30
|
[
[
"Halavanau",
"A.",
""
],
[
"Shnir",
"Yakov",
""
]
] |
We discuss how internal rotation with fixed angular frequency can affect the solitons in the baby Skyrme model in which the global O(3) symmetry is broken to the SO(2). Two particular choices of the potential term are considered, the "old" potential and the "new" double vacuum potential, We do not impose any assumptions about the symmetry on the fields. Our results confirm existence of two types of instabilities determined by the relation between the mass parameter of the potential and the angular frequency.
| 14.834629
| 10.253908
| 13.640265
| 11.598492
| 11.241131
| 10.710743
| 12.054682
| 11.567645
| 11.219154
| 13.433783
| 12.168571
| 11.5972
| 12.420889
| 11.810136
| 11.986581
| 11.621865
| 12.360111
| 11.861949
| 11.951681
| 13.351682
| 11.435053
|
0802.3578
|
Jonas Bj\"ornsson
|
Jonas Bjornsson, Stephen Hwang
|
On the unitarity of gauged non-compact world-sheet supersymmetric WZNW
models
|
19 pages, 1 table v3: One reference added, typo's corrected, to
appear in Nucl. Phys. B
|
Nucl.Phys.B812:525-539,2009
|
10.1016/j.nuclphysb.2008.12.011
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we generalize our investigation of the unitarity of non-compact
WZNW models connected to Hermitian symmetric spaces to the N=1 world-sheet
supersymmetric extension of these models. We will prove that these models have
a unitary spectrum in a BRST approach for antidominant highest weight
representations if the level and weights of the gauged subalgebra are integers.
We will find new critical string theories in 7 and 9 space-time dimensions.
|
[
{
"created": "Mon, 25 Feb 2008 09:48:50 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Nov 2008 14:39:05 GMT",
"version": "v2"
},
{
"created": "Wed, 21 Jan 2009 15:04:00 GMT",
"version": "v3"
}
] |
2009-02-16
|
[
[
"Bjornsson",
"Jonas",
""
],
[
"Hwang",
"Stephen",
""
]
] |
In this paper we generalize our investigation of the unitarity of non-compact WZNW models connected to Hermitian symmetric spaces to the N=1 world-sheet supersymmetric extension of these models. We will prove that these models have a unitary spectrum in a BRST approach for antidominant highest weight representations if the level and weights of the gauged subalgebra are integers. We will find new critical string theories in 7 and 9 space-time dimensions.
| 11.068492
| 10.64912
| 13.236334
| 9.829546
| 10.423208
| 9.940474
| 10.003015
| 9.701614
| 9.717165
| 12.961451
| 9.907625
| 10.117997
| 11.453479
| 9.700533
| 9.79252
| 10.178266
| 9.724735
| 10.054942
| 9.602479
| 11.220347
| 9.687728
|
0903.5345
|
Veselin Filev
|
Veselin G. Filev, Clifford V. Johnson, Jonathan P. Shock
|
Universal Holographic Chiral Dynamics in an External Magnetic Field
|
41 pages, 11 figures, references added
|
JHEP 0908:013,2009
|
10.1088/1126-6708/2009/08/013
|
DIAS-STP-09-07
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we further extend the investigation of holographic gauge
theories in external magnetic fields, continuing earlier work. We study the
phenomenon of magnetic catalysis of mass generation in 1+3 and 1+2 dimensions,
using D3/D7- and D3/D5-brane systems, respectively. We obtain the low energy
effective actions of the corresponding pseudo Goldstone bosons and study their
dispersion relations. The D3/D7 system exhibits the usual
Gell-Mann--Oakes--Renner (GMOR) relation and a relativistic dispersion
relation, while the D3/D5 system exhibits a quadratic non-relativistic
dispersion relation and a modified linear GMOR relation. The low energy
effective action of the D3/D5 system is related to that describing magnon
excitations in a ferromagnet. We also study properties of general Dp/Dq systems
in an external magnetic field and verify the universality of the magnetic
catalysis of dynamical symmetry breaking.
|
[
{
"created": "Mon, 30 Mar 2009 23:54:24 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Apr 2009 19:19:40 GMT",
"version": "v2"
}
] |
2009-11-16
|
[
[
"Filev",
"Veselin G.",
""
],
[
"Johnson",
"Clifford V.",
""
],
[
"Shock",
"Jonathan P.",
""
]
] |
In this work we further extend the investigation of holographic gauge theories in external magnetic fields, continuing earlier work. We study the phenomenon of magnetic catalysis of mass generation in 1+3 and 1+2 dimensions, using D3/D7- and D3/D5-brane systems, respectively. We obtain the low energy effective actions of the corresponding pseudo Goldstone bosons and study their dispersion relations. The D3/D7 system exhibits the usual Gell-Mann--Oakes--Renner (GMOR) relation and a relativistic dispersion relation, while the D3/D5 system exhibits a quadratic non-relativistic dispersion relation and a modified linear GMOR relation. The low energy effective action of the D3/D5 system is related to that describing magnon excitations in a ferromagnet. We also study properties of general Dp/Dq systems in an external magnetic field and verify the universality of the magnetic catalysis of dynamical symmetry breaking.
| 5.392751
| 5.166254
| 5.723895
| 5.078638
| 5.377244
| 5.204275
| 4.95732
| 4.917605
| 5.149911
| 5.761316
| 5.071603
| 5.143612
| 5.423093
| 5.162198
| 5.149262
| 5.081121
| 5.201909
| 5.110144
| 5.243577
| 5.374903
| 5.148655
|
1402.6805
|
Yi-Jian Du
|
Yi-Jian Du, Bo Feng, Chih-Hao Fu
|
Dual-color decompositions at one-loop level in Yang-Mills theory
|
26 pages,5 figures
| null |
10.1007/JHEP06(2014)157
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work, we extend the construction of dual color decomposition in
Yang-Mills theory to one-loop level, i.e., we show how to write one-loop
integrands in Yang-Mills theory to the dual DDM-form and the dual trace-form.
In dual forms, integrands are decomposed in terms of color-ordered one-loop
integrands for color scalar theory with proper dual color coefficients.In dual
DDM decomposition, The dual color coefficients can be obtained directly from
BCJ-form by applying Jacobi-like identities for kinematic factors. In dual
trace decomposition, the dual trace factors can be obtained by imposing
one-loop KK relations, reflection relation and their relation with the
kinematic factors in dual DDM-form.
|
[
{
"created": "Thu, 27 Feb 2014 06:58:11 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"Du",
"Yi-Jian",
""
],
[
"Feng",
"Bo",
""
],
[
"Fu",
"Chih-Hao",
""
]
] |
In this work, we extend the construction of dual color decomposition in Yang-Mills theory to one-loop level, i.e., we show how to write one-loop integrands in Yang-Mills theory to the dual DDM-form and the dual trace-form. In dual forms, integrands are decomposed in terms of color-ordered one-loop integrands for color scalar theory with proper dual color coefficients.In dual DDM decomposition, The dual color coefficients can be obtained directly from BCJ-form by applying Jacobi-like identities for kinematic factors. In dual trace decomposition, the dual trace factors can be obtained by imposing one-loop KK relations, reflection relation and their relation with the kinematic factors in dual DDM-form.
| 13.967109
| 12.044212
| 14.514765
| 11.90806
| 13.187173
| 12.737771
| 13.094214
| 12.343884
| 11.069387
| 14.92282
| 12.284792
| 11.741737
| 12.533465
| 11.887611
| 12.715585
| 12.683976
| 12.205407
| 12.155785
| 11.511778
| 13.320754
| 12.458302
|
hep-th/0510151
|
Takahashi Hidenori
|
T. Fujita, M. Hiramoto, T. Homma, M. Matsumoto, H. Takahashi
|
Re-Interpretation of Spontaneous Symmetry Breaking in Quantum Field
Theory and Goldstone Theorem
|
10pages, 2 figures
| null | null | null |
hep-th hep-ph
| null |
We present a new picture of global symmetry breaking in quantum field theory
and propose a novel realization of symmetry breaking phenomena in terms of the
conserved charge associated with its symmetry. In particular, the fermion
condensate of the vacuum state is examined when the spontaneous chiral symmetry
breaking takes place. It is shown that the fermion condensate of the vacuum
vanishes if the system is solved exactly, and therefore we cannot make use of
the Goldstone theorem. As a perfect example, we present the Bethe ansatz vacuum
of the Thirring model which shows the spontaneous chiral symmetry breaking with
no fermion condensate.
|
[
{
"created": "Tue, 18 Oct 2005 07:38:54 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Fujita",
"T.",
""
],
[
"Hiramoto",
"M.",
""
],
[
"Homma",
"T.",
""
],
[
"Matsumoto",
"M.",
""
],
[
"Takahashi",
"H.",
""
]
] |
We present a new picture of global symmetry breaking in quantum field theory and propose a novel realization of symmetry breaking phenomena in terms of the conserved charge associated with its symmetry. In particular, the fermion condensate of the vacuum state is examined when the spontaneous chiral symmetry breaking takes place. It is shown that the fermion condensate of the vacuum vanishes if the system is solved exactly, and therefore we cannot make use of the Goldstone theorem. As a perfect example, we present the Bethe ansatz vacuum of the Thirring model which shows the spontaneous chiral symmetry breaking with no fermion condensate.
| 8.325878
| 8.229738
| 8.509136
| 8.36968
| 8.37473
| 7.956306
| 8.316774
| 8.100375
| 8.283886
| 8.986915
| 8.388394
| 7.841226
| 8.273725
| 7.914212
| 8.007003
| 7.998324
| 7.934268
| 7.917639
| 8.033548
| 8.093655
| 7.89682
|
hep-th/9807208
|
O. Loughlin Martin
|
M.J. O'Loughlin, S. Randjbar-Daemi
|
AdS(3) x R as a target space for the (2,1) string theory
|
14 pages, latex
|
Nucl.Phys. B543 (1999) 170-182
|
10.1016/S0550-3213(98)00872-4
| null |
hep-th
| null |
We study a target space geometry of the form $AdS_3 \times {\bf R}$ for the
$(2,1)$ heterotic string. This target space arises as the near horizon limit of
a solitonic configuration in 2+2 dimensions. We investigate the null isometries
of this space and discuss the reduction to 1+1 dimensions of the target space
geometry arising from the consistent gauging of one of these isometries.
|
[
{
"created": "Tue, 28 Jul 1998 16:41:14 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"O'Loughlin",
"M. J.",
""
],
[
"Randjbar-Daemi",
"S.",
""
]
] |
We study a target space geometry of the form $AdS_3 \times {\bf R}$ for the $(2,1)$ heterotic string. This target space arises as the near horizon limit of a solitonic configuration in 2+2 dimensions. We investigate the null isometries of this space and discuss the reduction to 1+1 dimensions of the target space geometry arising from the consistent gauging of one of these isometries.
| 8.290606
| 6.971623
| 8.363274
| 7.400651
| 7.148541
| 7.88208
| 7.254485
| 7.330789
| 7.078256
| 9.763138
| 7.09876
| 7.313993
| 8.071995
| 7.25658
| 7.512096
| 7.308514
| 7.400054
| 7.35227
| 7.351988
| 7.62813
| 7.205655
|
1504.01370
|
Yanyan Bu
|
Yanyan Bu, Michael Lublinsky and Amir Sharon
|
Hydrodynamics dual to Einstein-Gauss-Bonnet gravity: all-order gradient
resummation
|
v1: 23 pages, 8 multi-figures, one appendix; v2: title changed, we
improved numerical calculations and found the Gauss-Bonnet corrected memory
functions still have no support at negative times, and we removed wrong
statement about causality violation in previous version; v3: minor revision,
to appear in JHEP
| null | null | null |
hep-th gr-qc hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Relativistic hydrodynamics dual to Einstein-Gauss-Bonnet gravity in
asymptotic $\textrm{AdS}_5$ space is under study. To linear order in the
amplitude of the fluid velocity and temperature, we derive the fluid's
stress-energy tensor via an all-order resummation of the derivative terms. Each
order is accompanied by new transport coefficients, which all together could be
compactly absorbed into two functions of momenta, referred to as viscosity
functions. Via inverse Fourier transform, these viscosities appear as memory
functions in the constitutive relation between components of the stress-energy
tensor.
|
[
{
"created": "Mon, 6 Apr 2015 19:50:31 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Apr 2015 19:44:11 GMT",
"version": "v2"
},
{
"created": "Sun, 14 Jun 2015 13:57:18 GMT",
"version": "v3"
}
] |
2015-06-16
|
[
[
"Bu",
"Yanyan",
""
],
[
"Lublinsky",
"Michael",
""
],
[
"Sharon",
"Amir",
""
]
] |
Relativistic hydrodynamics dual to Einstein-Gauss-Bonnet gravity in asymptotic $\textrm{AdS}_5$ space is under study. To linear order in the amplitude of the fluid velocity and temperature, we derive the fluid's stress-energy tensor via an all-order resummation of the derivative terms. Each order is accompanied by new transport coefficients, which all together could be compactly absorbed into two functions of momenta, referred to as viscosity functions. Via inverse Fourier transform, these viscosities appear as memory functions in the constitutive relation between components of the stress-energy tensor.
| 11.237112
| 10.696078
| 13.476551
| 9.810919
| 10.250648
| 10.468683
| 9.712083
| 10.387877
| 10.356747
| 11.829724
| 9.922767
| 9.348866
| 11.312031
| 10.285545
| 9.704574
| 9.472928
| 9.731709
| 10.2498
| 9.677958
| 11.251154
| 9.733437
|
0902.0290
|
Chethan Krishnan
|
Chethan Krishnan, Carlo Maccaferri, Harvendra Singh
|
M2-brane Flows and the Chern-Simons Level
|
v4: figure with typo replaced, clarifications added. 35 pp
|
JHEP 0905:114,2009
|
10.1088/1126-6708/2009/05/114
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Chern-Simons level k of ABJM gauge theory captures the orbifolding in the
dual geometry. This suggests that if we move the membranes away from the tip of
the orbifold to a smooth point, it should trigger an RG flow that changes the
level to k=1 in the IR. We construct an explicit supergravity solution that is
dual to this shift from generic k to k=1. In the gauge theory side, we present
arguments for why this shift is plausible at the end of the RG flow. We also
consider a resolution of the orbifold for the case k=4 (where explicit metrics
can be found), and construct the smooth supergravity solution that interpolates
between AdS4 X S7/Z4 and AdS4 X S7, corresponding to localized branes on the
blown up six cycle. In the gauge theory, we make some comments about the
dimension four operator dual to the resolution as well as the associated RG
flow.
|
[
{
"created": "Mon, 2 Feb 2009 14:32:10 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Feb 2009 18:12:37 GMT",
"version": "v2"
},
{
"created": "Thu, 28 May 2009 00:00:43 GMT",
"version": "v3"
},
{
"created": "Fri, 6 Nov 2009 11:10:50 GMT",
"version": "v4"
}
] |
2009-11-10
|
[
[
"Krishnan",
"Chethan",
""
],
[
"Maccaferri",
"Carlo",
""
],
[
"Singh",
"Harvendra",
""
]
] |
The Chern-Simons level k of ABJM gauge theory captures the orbifolding in the dual geometry. This suggests that if we move the membranes away from the tip of the orbifold to a smooth point, it should trigger an RG flow that changes the level to k=1 in the IR. We construct an explicit supergravity solution that is dual to this shift from generic k to k=1. In the gauge theory side, we present arguments for why this shift is plausible at the end of the RG flow. We also consider a resolution of the orbifold for the case k=4 (where explicit metrics can be found), and construct the smooth supergravity solution that interpolates between AdS4 X S7/Z4 and AdS4 X S7, corresponding to localized branes on the blown up six cycle. In the gauge theory, we make some comments about the dimension four operator dual to the resolution as well as the associated RG flow.
| 10.022869
| 9.386674
| 12.772177
| 10.03688
| 10.424381
| 10.195852
| 9.991935
| 9.204487
| 9.885099
| 14.343395
| 9.734819
| 9.480706
| 10.512676
| 9.574422
| 9.765752
| 9.494771
| 9.409023
| 9.430887
| 9.836814
| 10.921219
| 9.42416
|
1009.1695
|
Reiji Yoshioka
|
Reiji Yoshioka
|
Effects of Matrix Orientifolding to Two-Loop Effective Action of Bosonic
IIB Matrix Model
|
16 pages, 3 figures
| null | null |
OCU-PHYS 337
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the spacetime structures which are described by the IIB matrix model
with orientifolding. Matrix orientifolding that preserves supersymmetries
yields the mirror image point with respect to a four-dimensional plane for each
spacetime point that corresponds to the eigenvalue of the bosonic matrix. In
order to consider the upper bound on the distance between two eigenvalues in
this model, we calculate the effective action for the eigenvalues up to
two-loop. The eigenvalues distribute in a tubular region around the
four-dimensional plane.
|
[
{
"created": "Thu, 9 Sep 2010 07:14:21 GMT",
"version": "v1"
}
] |
2010-09-10
|
[
[
"Yoshioka",
"Reiji",
""
]
] |
We study the spacetime structures which are described by the IIB matrix model with orientifolding. Matrix orientifolding that preserves supersymmetries yields the mirror image point with respect to a four-dimensional plane for each spacetime point that corresponds to the eigenvalue of the bosonic matrix. In order to consider the upper bound on the distance between two eigenvalues in this model, we calculate the effective action for the eigenvalues up to two-loop. The eigenvalues distribute in a tubular region around the four-dimensional plane.
| 11.90382
| 10.823365
| 11.733438
| 10.587259
| 10.854012
| 11.560172
| 11.444206
| 10.669661
| 11.168902
| 14.788155
| 10.262881
| 10.74903
| 12.179642
| 10.22654
| 10.638612
| 10.675187
| 10.359905
| 10.634367
| 10.398683
| 11.72939
| 9.963403
|
0706.4475
|
Liu Zhao
|
Liu Zhao
|
Black chain of pearls in 5D de Sitter spacetime
|
4 pages, 3 figures. Wrong statements on stability based on error
incaculations corrected. New references added
| null | null | null |
hep-th
| null |
We analyze some exact chain-shaped black hole solutions in 5-dimensional
spacetime. Unlike usual black string and black ring solutions, the topology of
the horizons of the new solutions are neither $\mathbb{R}\times R^{2}$ nor
$S^1\times S^2$ but rather like several topological spheres concatenating each
other at single points. The shape of the horizon suggests the name \emph{black
chain of pearls} on which each \emph{pearl} is a topological 3-sphere on the
chain. In addition to the usual black hole hairs, the number of pearls can be
viewed as a new hair of the black chain of pearls.
|
[
{
"created": "Fri, 29 Jun 2007 19:22:52 GMT",
"version": "v1"
},
{
"created": "Sun, 1 Jul 2007 18:07:43 GMT",
"version": "v2"
}
] |
2007-07-02
|
[
[
"Zhao",
"Liu",
""
]
] |
We analyze some exact chain-shaped black hole solutions in 5-dimensional spacetime. Unlike usual black string and black ring solutions, the topology of the horizons of the new solutions are neither $\mathbb{R}\times R^{2}$ nor $S^1\times S^2$ but rather like several topological spheres concatenating each other at single points. The shape of the horizon suggests the name \emph{black chain of pearls} on which each \emph{pearl} is a topological 3-sphere on the chain. In addition to the usual black hole hairs, the number of pearls can be viewed as a new hair of the black chain of pearls.
| 8.810141
| 9.121084
| 8.442954
| 7.957348
| 8.994282
| 8.158811
| 9.454592
| 8.340997
| 8.385679
| 8.260486
| 7.726834
| 8.470171
| 8.299814
| 7.970664
| 8.260595
| 8.254008
| 8.345898
| 7.774631
| 8.751176
| 8.388631
| 8.235752
|
hep-th/9912260
|
C. T. Chan
|
Chuan-Tsung Chan (National Taiwan University)
|
Exact Scattering States of Dirac-Born-Infeld Equation with Constant
Background Fields
|
18 pages, latex, no figures
|
Phys.Rev. D62 (2000) 026002
|
10.1103/PhysRevD.62.026002
| null |
hep-th
| null |
Exact solutions to the Dirac-Born-Infeld equation, which describes
scatterings of localized wave packets in the presence of constant background
fields, are derived in this paper.
|
[
{
"created": "Mon, 27 Dec 1999 22:47:58 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Chan",
"Chuan-Tsung",
"",
"National Taiwan University"
]
] |
Exact solutions to the Dirac-Born-Infeld equation, which describes scatterings of localized wave packets in the presence of constant background fields, are derived in this paper.
| 11.689053
| 7.864306
| 8.397646
| 8.819074
| 10.001941
| 8.572185
| 8.337318
| 8.211413
| 8.053852
| 12.477652
| 8.645434
| 11.313061
| 10.236887
| 10.165441
| 10.075653
| 11.011979
| 10.905939
| 10.791636
| 10.247732
| 11.058794
| 10.167265
|
hep-th/9301013
|
Michael Fry
|
M. P. Fry
|
Fermionic Determinant of the Massive Schwinger Model
| null |
Phys.Rev. D47 (1993) 2629-2632
|
10.1103/PhysRevD.47.2629
| null |
hep-th
| null |
A representation for the fermionic determinant of the massive Schwinger
model, or $QED_2$, is obtained that makes a clean separation between the
Schwinger model and its massive counterpart. From this it is shown that the
index theorem for $QED_2$ follows from gauge invariance, that the Schwinger
model's contribution to the determinant is canceled in the weak field limit,
and that the determinant vanishes when the field strength is sufficiently
strong to form a zero-energy bound state.
|
[
{
"created": "Tue, 5 Jan 1993 16:11:22 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Fry",
"M. P.",
""
]
] |
A representation for the fermionic determinant of the massive Schwinger model, or $QED_2$, is obtained that makes a clean separation between the Schwinger model and its massive counterpart. From this it is shown that the index theorem for $QED_2$ follows from gauge invariance, that the Schwinger model's contribution to the determinant is canceled in the weak field limit, and that the determinant vanishes when the field strength is sufficiently strong to form a zero-energy bound state.
| 9.894526
| 8.79661
| 8.354036
| 7.919736
| 8.456927
| 8.582128
| 8.507015
| 8.361963
| 7.484138
| 10.183318
| 8.156672
| 8.127814
| 8.441618
| 8.161648
| 8.425667
| 8.489526
| 8.154196
| 8.498829
| 7.874038
| 8.410096
| 8.091459
|
0807.5010
|
Mitsuhiro Kato
|
Masako Asano and Mitsuhiro Kato
|
General Linear Gauges and Amplitudes in Open String Field Theory
|
32 pages
|
Nucl.Phys.B807:348-372,2009
|
10.1016/j.nuclphysb.2008.09.004
|
UT-Komaba/08-12
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A general class of gauges for open string field theory, for which the gauge
fixing condition is given by linear equations with respect to string field, is
investigated in detail. This class of gauges includes almost all known ones
like Siegel gauge and its various extensions such as a-gauges proposed by the
present authors as well as Schnabl gauge and linear b-gauges. A general form of
propagators is determined and their common features are analyzed. A consistent
procedure for calculating the amplitudes is given. Gauge independence of the
on-shell physical amplitudes is explicitly shown.
|
[
{
"created": "Thu, 31 Jul 2008 08:23:45 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Asano",
"Masako",
""
],
[
"Kato",
"Mitsuhiro",
""
]
] |
A general class of gauges for open string field theory, for which the gauge fixing condition is given by linear equations with respect to string field, is investigated in detail. This class of gauges includes almost all known ones like Siegel gauge and its various extensions such as a-gauges proposed by the present authors as well as Schnabl gauge and linear b-gauges. A general form of propagators is determined and their common features are analyzed. A consistent procedure for calculating the amplitudes is given. Gauge independence of the on-shell physical amplitudes is explicitly shown.
| 10.765544
| 10.539042
| 11.952909
| 9.379704
| 10.220645
| 9.825984
| 9.840858
| 9.623341
| 9.247539
| 11.857733
| 9.063105
| 9.656772
| 10.519347
| 9.613555
| 9.712877
| 9.592765
| 9.565244
| 10.099009
| 9.587559
| 10.806265
| 9.248468
|
hep-th/9411236
|
Parthasarathi Mitra
|
P. Mitra
|
Exclusion statistics and many-particle states
|
6 pages, revtex
| null | null |
SISSA-191/94/EP
|
hep-th cond-mat
| null |
The thermodynamic distribution function for exclusion statistics is derived.
Creation and annihilation operators for particles obeying such statistics are
discussed. A connection with anyons is pointed out.
|
[
{
"created": "Wed, 30 Nov 1994 17:37:23 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Mitra",
"P.",
""
]
] |
The thermodynamic distribution function for exclusion statistics is derived. Creation and annihilation operators for particles obeying such statistics are discussed. A connection with anyons is pointed out.
| 12.693735
| 9.898535
| 10.467719
| 9.72325
| 9.704321
| 9.614591
| 9.585484
| 10.280997
| 9.75023
| 10.907388
| 11.061228
| 10.990629
| 11.25178
| 10.315883
| 10.657642
| 11.011289
| 10.52358
| 10.792016
| 10.837755
| 11.166938
| 11.501038
|
hep-th/0103164
|
Harold Steinacker
|
H. Grosse, J. Madore, H. Steinacker
|
Field Theory on the q-deformed Fuzzy Sphere II: Quantization
|
LaTex file, 44 pages
|
J.Geom.Phys. 43 (2002) 205-240
|
10.1016/S0393-0440(02)00023-2
|
LMU-TPW 1-01, LPT-ORSAY 01-22, UWThPh-2001-10
|
hep-th math.QA
| null |
We study the second quantization of field theory on the q-deformed fuzzy
sphere for real q. This is performed using a path-integral over the modes,
which generate a quasiassociative algebra. The resulting models have a manifest
U_q(su(2)) symmetry with a smooth limit q -> 1, and satisfy positivity and
twisted bosonic symmetry properties. A systematic way to calculate n-point
correlators in perturbation theory is given. As examples, the 4-point
correlator for a free scalar field theory and the planar contribution to the
tadpole diagram in \phi^4 theory are computed. The case of gauge fields is also
discussed, as well as an operator formulation of scalar field theory in 2_q + 1
dimensions. An alternative, essentially equivalent approach using associative
techniques only is also presented. The proposed framework is not restricted to
2 dimensions.
|
[
{
"created": "Tue, 20 Mar 2001 23:04:20 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Grosse",
"H.",
""
],
[
"Madore",
"J.",
""
],
[
"Steinacker",
"H.",
""
]
] |
We study the second quantization of field theory on the q-deformed fuzzy sphere for real q. This is performed using a path-integral over the modes, which generate a quasiassociative algebra. The resulting models have a manifest U_q(su(2)) symmetry with a smooth limit q -> 1, and satisfy positivity and twisted bosonic symmetry properties. A systematic way to calculate n-point correlators in perturbation theory is given. As examples, the 4-point correlator for a free scalar field theory and the planar contribution to the tadpole diagram in \phi^4 theory are computed. The case of gauge fields is also discussed, as well as an operator formulation of scalar field theory in 2_q + 1 dimensions. An alternative, essentially equivalent approach using associative techniques only is also presented. The proposed framework is not restricted to 2 dimensions.
| 13.363873
| 11.866133
| 14.156844
| 11.504923
| 12.103132
| 12.491197
| 12.004024
| 12.624704
| 11.834669
| 14.156764
| 11.304682
| 12.041354
| 13.559649
| 12.32842
| 12.035728
| 12.096806
| 12.237771
| 12.381214
| 12.330395
| 13.328159
| 12.240581
|
hep-th/0006055
|
Srinath Cheluvaraja
|
S.Cheluvaraja (Louisiana State University)
|
Z(2) vortex solution in a field theory
|
14 pages latex
| null | null |
LSUHE 344-2000
|
hep-th
| null |
We present a finite energy topological Z(2) vortex solution in a 2+1
dimensional SO(3) gauge field theory minimally coupled to a matrix valued Higgs
field. The vortex carries a Z(2) magnetic charge and obeys a modulo two
addition property. The core of this vortex has a structure similar to that of
the Abrikosov vortex appearing in a type II superconductor. The implications of
this solution for Wilson loops are quite interesting. In two Euclidean
dimensions these vortices are instantons and a dilute gas of such vortices
disorders Wilson loops producing an area law behaviour with an exponentially
small string tension. In 2+1 dimensions the vortices are loops and they affect
the same disordering in the phase having large loops.
|
[
{
"created": "Wed, 7 Jun 2000 22:46:31 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Cheluvaraja",
"S.",
"",
"Louisiana State University"
]
] |
We present a finite energy topological Z(2) vortex solution in a 2+1 dimensional SO(3) gauge field theory minimally coupled to a matrix valued Higgs field. The vortex carries a Z(2) magnetic charge and obeys a modulo two addition property. The core of this vortex has a structure similar to that of the Abrikosov vortex appearing in a type II superconductor. The implications of this solution for Wilson loops are quite interesting. In two Euclidean dimensions these vortices are instantons and a dilute gas of such vortices disorders Wilson loops producing an area law behaviour with an exponentially small string tension. In 2+1 dimensions the vortices are loops and they affect the same disordering in the phase having large loops.
| 10.483386
| 11.571526
| 10.376282
| 10.323756
| 11.930041
| 11.121366
| 11.920477
| 11.346583
| 10.709867
| 10.712773
| 10.465935
| 10.881948
| 10.333879
| 10.253184
| 10.768847
| 10.20807
| 10.460153
| 10.68973
| 10.328557
| 10.400959
| 10.335629
|
2312.00120
|
Tom Rudelius
|
Tom Rudelius
|
Persistence of the Pattern in the Interior of 5d Moduli Spaces
|
5 pages
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
Castellano, Ruiz, and Valenzuela recently observed a remarkable "pattern" in
infinite-distance limits of moduli spaces in quantum gravity, which relates the
field space variation of the mass of the lightest tower of particles to the
field space variation of the species scale. In this work, we show how a version
of this pattern can be proven to hold for BPS particles and strings throughout
the vector multiplet moduli space of a 5d supergravity theory, even in regions
where the particle masses and string tensions are substantially modified
relative to their asymptotic behavior in the infinite-distance limits. This
suggests that a suitably defined version of the pattern may hold not merely in
the asymptotic limits of moduli space, but in the interior as well.
|
[
{
"created": "Thu, 30 Nov 2023 19:00:00 GMT",
"version": "v1"
}
] |
2023-12-04
|
[
[
"Rudelius",
"Tom",
""
]
] |
Castellano, Ruiz, and Valenzuela recently observed a remarkable "pattern" in infinite-distance limits of moduli spaces in quantum gravity, which relates the field space variation of the mass of the lightest tower of particles to the field space variation of the species scale. In this work, we show how a version of this pattern can be proven to hold for BPS particles and strings throughout the vector multiplet moduli space of a 5d supergravity theory, even in regions where the particle masses and string tensions are substantially modified relative to their asymptotic behavior in the infinite-distance limits. This suggests that a suitably defined version of the pattern may hold not merely in the asymptotic limits of moduli space, but in the interior as well.
| 10.827309
| 8.895012
| 10.799149
| 8.813682
| 9.62117
| 8.764932
| 8.536713
| 8.198365
| 9.047057
| 11.788627
| 9.162317
| 9.276729
| 9.546324
| 9.102667
| 9.02861
| 9.496148
| 8.821949
| 9.349831
| 8.765109
| 9.651273
| 9.469704
|
hep-th/9110034
|
David Kutasov
|
M. Bershadsky and D. Kutasov
|
Open String Theory in 1+1 Dimensions
|
10 pages
|
Phys.Lett.B274:331-337,1992
|
10.1016/0370-2693(92)91993-J
| null |
hep-th
| null |
We show that tree level open two dimensional string theory is exactly
solvable; the solution exhibits some unusual features, and is qualitatively
different from the closed case. The open string ``tachyon'' S -- matrix
describes free fermions, which can be interpreted as the quarks at the ends of
the string. These ``quarks'' live naturally on a lattice in space-time. We also
find an exact vacuum solution of the theory, corresponding to a charged black
hole.
|
[
{
"created": "Mon, 14 Oct 1991 14:19:40 GMT",
"version": "v1"
}
] |
2010-11-01
|
[
[
"Bershadsky",
"M.",
""
],
[
"Kutasov",
"D.",
""
]
] |
We show that tree level open two dimensional string theory is exactly solvable; the solution exhibits some unusual features, and is qualitatively different from the closed case. The open string ``tachyon'' S -- matrix describes free fermions, which can be interpreted as the quarks at the ends of the string. These ``quarks'' live naturally on a lattice in space-time. We also find an exact vacuum solution of the theory, corresponding to a charged black hole.
| 13.70811
| 12.390084
| 15.51726
| 11.618349
| 12.477083
| 12.248022
| 12.018821
| 13.337098
| 12.048059
| 15.487509
| 11.268706
| 12.152701
| 14.194464
| 12.544195
| 12.694366
| 12.108133
| 12.175906
| 12.215703
| 12.022683
| 13.531852
| 11.973111
|
hep-th/0403190
|
Marcus Spradlin
|
Radu Roiban, Marcus Spradlin, Anastasia Volovich
|
On the Tree-Level S-Matrix of Yang-Mills Theory
|
20 pages, 2 figures, harvmac. v2: proof of parity symmetry added
|
Phys.Rev.D70:026009,2004
|
10.1103/PhysRevD.70.026009
| null |
hep-th hep-ph
| null |
In this note we further investigate the procedure for computing tree-level
amplitudes in Yang-Mills theory from connected instantons in the B-model on
P^{3|4}, emphasizing that the problem of calculating Feynman diagrams is recast
into the problem of finding solutions to a certain set of algebraic equations.
We show that the B-model correctly reproduces all 6-particle amplitudes,
including non-MHV amplitudes with three negative and three positive helicity
gluons. As a further check, we also show that n-particle amplitudes obtained
from the B-model obey a number of properties required of gauge theory, such as
parity symmetry (which relates an integral over degree d curves to one over
degree n-d-2 curves) and the soft and collinear gluon poles.
|
[
{
"created": "Fri, 19 Mar 2004 01:39:02 GMT",
"version": "v1"
},
{
"created": "Sun, 21 Mar 2004 19:39:12 GMT",
"version": "v2"
}
] |
2011-05-05
|
[
[
"Roiban",
"Radu",
""
],
[
"Spradlin",
"Marcus",
""
],
[
"Volovich",
"Anastasia",
""
]
] |
In this note we further investigate the procedure for computing tree-level amplitudes in Yang-Mills theory from connected instantons in the B-model on P^{3|4}, emphasizing that the problem of calculating Feynman diagrams is recast into the problem of finding solutions to a certain set of algebraic equations. We show that the B-model correctly reproduces all 6-particle amplitudes, including non-MHV amplitudes with three negative and three positive helicity gluons. As a further check, we also show that n-particle amplitudes obtained from the B-model obey a number of properties required of gauge theory, such as parity symmetry (which relates an integral over degree d curves to one over degree n-d-2 curves) and the soft and collinear gluon poles.
| 9.489216
| 8.822532
| 9.232193
| 8.47438
| 8.574441
| 9.178096
| 9.136003
| 8.730905
| 7.964298
| 10.67733
| 8.508883
| 8.345703
| 9.306578
| 8.60218
| 8.547151
| 8.571405
| 8.630579
| 8.621419
| 8.265788
| 9.115491
| 8.292938
|
1507.02660
|
Niall Macpherson
|
Yolanda Lozano, Niall T. Macpherson, Jes\'us Montero
|
A $\mathcal{N}=2$ Supersymmetric $AdS_4$ Solution in M-theory with
Purely Magnetic Flux
|
19 pages plus appendices. v2 metadata amended, reference added
| null |
10.1007/JHEP10(2015)004
|
FPAUO-15/06
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We find a new $\mathcal{N}=2$ $AdS_4$ solution in M-theory supported by
purely magnetic flux via a sequence of abelian and non-abelian T-dualities.
This provides the second known example in this class besides the uplift of the
Pernici and Sezgin solution to 7d gauged supergravity constructed in the
eighties. We compute the free energy of the solution, and show that it scales
as $N^{3/2}$. It is intriguing that even though the natural holographic
interpretation is in terms of M5-branes wrapped on a special Lagrangian
3-cycle, this solution does not exhibit the expected $N^3$ behavior.
|
[
{
"created": "Thu, 9 Jul 2015 19:10:36 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Jul 2015 12:47:39 GMT",
"version": "v2"
}
] |
2018-10-26
|
[
[
"Lozano",
"Yolanda",
""
],
[
"Macpherson",
"Niall T.",
""
],
[
"Montero",
"Jesús",
""
]
] |
We find a new $\mathcal{N}=2$ $AdS_4$ solution in M-theory supported by purely magnetic flux via a sequence of abelian and non-abelian T-dualities. This provides the second known example in this class besides the uplift of the Pernici and Sezgin solution to 7d gauged supergravity constructed in the eighties. We compute the free energy of the solution, and show that it scales as $N^{3/2}$. It is intriguing that even though the natural holographic interpretation is in terms of M5-branes wrapped on a special Lagrangian 3-cycle, this solution does not exhibit the expected $N^3$ behavior.
| 6.583475
| 6.117406
| 8.175442
| 5.902038
| 6.215207
| 6.190593
| 6.101233
| 6.098715
| 6.028261
| 8.861903
| 6.167467
| 6.184886
| 6.997634
| 6.304035
| 6.543395
| 6.20086
| 6.387342
| 6.038599
| 6.232433
| 6.987901
| 6.319267
|
0802.3391
|
Cumrun Vafa
|
Chris Beasley, Jonathan J. Heckman, Cumrun Vafa
|
GUTs and Exceptional Branes in F-theory - I
|
v2: 121 pages, 5 figures, reference and clarification added
|
JHEP 0901:058,2009
|
10.1088/1126-6708/2009/01/058
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Motivated by potential phenomenological applications, we develop the
necessary tools for building GUT models in F-theory. This approach is quite
flexible because the local geometrical properties of singularities in F-theory
compactifications encode the physical content of the theory. In particular, we
show how geometry determines the gauge group, matter content and Yukawa
couplings of a given model. It turns out that these features are beautifully
captured by a four-dimensional topologically twisted N=4 theory which has been
coupled to a surface defect theory on which chiral matter can propagate. From
the vantagepoint of the four-dimensional topological theory, these defects are
surface operators. Specific intersection points of these defects lead to Yukawa
couplings. We also find that the unfolding of the singularity in the F-theory
geometry precisely matches to properties of the topological theory with a
defect.
|
[
{
"created": "Mon, 25 Feb 2008 16:59:39 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Nov 2008 01:22:07 GMT",
"version": "v2"
}
] |
2010-04-06
|
[
[
"Beasley",
"Chris",
""
],
[
"Heckman",
"Jonathan J.",
""
],
[
"Vafa",
"Cumrun",
""
]
] |
Motivated by potential phenomenological applications, we develop the necessary tools for building GUT models in F-theory. This approach is quite flexible because the local geometrical properties of singularities in F-theory compactifications encode the physical content of the theory. In particular, we show how geometry determines the gauge group, matter content and Yukawa couplings of a given model. It turns out that these features are beautifully captured by a four-dimensional topologically twisted N=4 theory which has been coupled to a surface defect theory on which chiral matter can propagate. From the vantagepoint of the four-dimensional topological theory, these defects are surface operators. Specific intersection points of these defects lead to Yukawa couplings. We also find that the unfolding of the singularity in the F-theory geometry precisely matches to properties of the topological theory with a defect.
| 10.379637
| 10.387373
| 11.338452
| 10.423895
| 10.228626
| 10.492802
| 10.745302
| 10.101571
| 9.679001
| 12.117537
| 9.75201
| 9.894719
| 10.527956
| 10.051556
| 9.916606
| 10.046576
| 10.179971
| 10.230361
| 9.765456
| 10.424468
| 10.377121
|
hep-th/0506090
|
S. Stieberger
|
D. Lust, S. Reffert, W. Schulgin, S. Stieberger
|
Moduli Stabilization in Type IIB Orientifolds (I)
|
97 pages + 2 figs, harvmac
|
Nucl.Phys.B766:68-149,2007
|
10.1016/j.nuclphysb.2006.12.018
|
LMU-ASC 45/05, MPP-2005-59
|
hep-th
| null |
We discuss flux quantization and moduli stabilization in toroidal type IIB
Z_N - or Z_N x Z_M -orientifolds, focusing mainly on their orbifold limits.
After presenting a detailed discussion of their moduli spaces and effective
actions, we study the supersymmetric vacuum structure of these models and
derive criteria for the existence of stable minima. Furthermore, we briefly
investigate the models away from their orbifold points and comment on the
microscopic origin of their non-perturbative superpotentials.
|
[
{
"created": "Mon, 13 Jun 2005 19:43:31 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Nov 2006 17:04:48 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Lust",
"D.",
""
],
[
"Reffert",
"S.",
""
],
[
"Schulgin",
"W.",
""
],
[
"Stieberger",
"S.",
""
]
] |
We discuss flux quantization and moduli stabilization in toroidal type IIB Z_N - or Z_N x Z_M -orientifolds, focusing mainly on their orbifold limits. After presenting a detailed discussion of their moduli spaces and effective actions, we study the supersymmetric vacuum structure of these models and derive criteria for the existence of stable minima. Furthermore, we briefly investigate the models away from their orbifold points and comment on the microscopic origin of their non-perturbative superpotentials.
| 8.150134
| 8.227431
| 11.08878
| 7.450604
| 7.01949
| 7.923304
| 7.631876
| 7.618973
| 7.777741
| 9.767163
| 7.61684
| 7.606589
| 9.004948
| 8.058747
| 7.443926
| 7.713578
| 7.52046
| 7.742922
| 7.632745
| 8.385659
| 7.769223
|
2301.02587
|
Roberto Emparan
|
Roberto Emparan, Raimon Luna, Ryotaku Suzuki, Marija Toma\v{s}evi\'c,
Benson Way
|
Holographic duals of evaporating black holes
|
27 pages, 13 figures. v2: 31 pages, 16 figures. Improved discussions,
refs added. v3: matches published version
|
JHEP05(2023)182
|
10.1007/JHEP05(2023)182
|
CPHT-RR057.112022, TTI-MATHPHYS-18
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We describe the dynamical evaporation of a black hole as the classical
evolution in time of a black hole in an Anti-de Sitter braneworld. A bulk black
hole whose horizon intersects the brane yields the classical bulk dual of a
black hole coupled to quantum conformal fields. The evaporation of this black
hole happens when the bulk horizon slides off the brane, making the horizon on
the brane shrink. We use a large-D effective theory of the bulk Einstein
equations to solve the time evolution of these systems. With this method, we
study the dual evaporation of a variety of black holes interacting with colder
radiation baths. We also obtain the dual of the collapse of holographic
radiation to form a black hole on the brane. Finally, we discuss the evolution
of the Page curve of the radiation in our evaporation setups, with entanglement
islands appearing and then shrinking during the decreasing part of the curve.
|
[
{
"created": "Fri, 6 Jan 2023 16:34:28 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Feb 2023 23:13:53 GMT",
"version": "v2"
},
{
"created": "Sun, 28 May 2023 12:34:23 GMT",
"version": "v3"
}
] |
2023-05-30
|
[
[
"Emparan",
"Roberto",
""
],
[
"Luna",
"Raimon",
""
],
[
"Suzuki",
"Ryotaku",
""
],
[
"Tomašević",
"Marija",
""
],
[
"Way",
"Benson",
""
]
] |
We describe the dynamical evaporation of a black hole as the classical evolution in time of a black hole in an Anti-de Sitter braneworld. A bulk black hole whose horizon intersects the brane yields the classical bulk dual of a black hole coupled to quantum conformal fields. The evaporation of this black hole happens when the bulk horizon slides off the brane, making the horizon on the brane shrink. We use a large-D effective theory of the bulk Einstein equations to solve the time evolution of these systems. With this method, we study the dual evaporation of a variety of black holes interacting with colder radiation baths. We also obtain the dual of the collapse of holographic radiation to form a black hole on the brane. Finally, we discuss the evolution of the Page curve of the radiation in our evaporation setups, with entanglement islands appearing and then shrinking during the decreasing part of the curve.
| 12.586061
| 11.195003
| 13.968917
| 11.975901
| 12.317522
| 11.297455
| 11.5761
| 11.371096
| 11.344114
| 14.467408
| 11.328097
| 11.232736
| 12.701838
| 11.69043
| 12.062134
| 11.332717
| 11.907379
| 11.624414
| 11.640742
| 11.756273
| 11.67523
|
2007.00623
|
Ricardo Monteiro
|
Joseph A. Farrow, Yvonne Geyer, Arthur E. Lipstein, Ricardo Monteiro,
Ricardo Stark-Much\~ao
|
Propagators, BCFW Recursion and New Scattering Equations at One Loop
|
62 pages + appendices, 12 figures. v2: minor changes, published
version
| null |
10.1007/JHEP10(2020)074
|
QMUL-PH-20-15
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate how loop-level propagators arise from tree level via a
forward-limit procedure in two modern approaches to scattering amplitudes,
namely the BCFW recursion relations and the scattering equations formalism. In
the first part of the paper, we revisit the BCFW construction of one-loop
integrands in momentum space, using a convenient parametrisation of the
D-dimensional loop momentum. We work out explicit examples with and without
supersymmetry, and discuss the non-planar case in both gauge theory and
gravity. In the second part of the paper, we study an alternative approach to
one-loop integrands, where these are written as worldsheet formulas based on
new one-loop scattering equations. These equations, which are inspired by BCFW,
lead to standard Feynman-type propagators, instead of the `linear'-type
loop-level propagators that first arose from the formalism of ambitwistor
strings. We exploit the analogies between the two approaches, and present a
proof of an all-multiplicity worldsheet formula using the BCFW recursion.
|
[
{
"created": "Wed, 1 Jul 2020 17:13:28 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Sep 2020 21:24:14 GMT",
"version": "v2"
}
] |
2020-10-28
|
[
[
"Farrow",
"Joseph A.",
""
],
[
"Geyer",
"Yvonne",
""
],
[
"Lipstein",
"Arthur E.",
""
],
[
"Monteiro",
"Ricardo",
""
],
[
"Stark-Muchão",
"Ricardo",
""
]
] |
We investigate how loop-level propagators arise from tree level via a forward-limit procedure in two modern approaches to scattering amplitudes, namely the BCFW recursion relations and the scattering equations formalism. In the first part of the paper, we revisit the BCFW construction of one-loop integrands in momentum space, using a convenient parametrisation of the D-dimensional loop momentum. We work out explicit examples with and without supersymmetry, and discuss the non-planar case in both gauge theory and gravity. In the second part of the paper, we study an alternative approach to one-loop integrands, where these are written as worldsheet formulas based on new one-loop scattering equations. These equations, which are inspired by BCFW, lead to standard Feynman-type propagators, instead of the `linear'-type loop-level propagators that first arose from the formalism of ambitwistor strings. We exploit the analogies between the two approaches, and present a proof of an all-multiplicity worldsheet formula using the BCFW recursion.
| 9.183785
| 9.214375
| 9.987191
| 8.419367
| 8.884726
| 8.785407
| 8.476684
| 8.517187
| 8.748213
| 10.446336
| 8.254337
| 8.68963
| 8.824736
| 8.50964
| 8.469376
| 8.547862
| 8.520286
| 8.870293
| 8.677128
| 9.126557
| 8.720365
|
1002.1391
|
Aram Saharian
|
S. Bellucci, A. A. Saharian, V. M. Bardeghyan
|
Induced fermionic current in toroidally compactified spacetimes with
applications to cylindrical and toroidal nanotubes
|
18 pages, 5 figures, explicit regularization procedure added
|
Phys.Rev.D82:065011,2010
|
10.1103/PhysRevD.82.065011
| null |
hep-th cond-mat.mes-hall gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The vacuum expectation value of the fermionic current is evaluated for a
massive spinor field in spacetimes with an arbitrary number of toroidally
compactified spatial dimensions in presence of a constant gauge field. By using
the Abel-Plana type summation formula and the zeta function technique we
present the fermionic current in two different forms. Non-trivial topology of
the background spacetime leads to the Aharonov-Bohm effect on the fermionic
current induced by the gauge field. The current is a periodic function of the
magnetic flux with the period equal to the flux quantum. In the absence of the
gauge field it vanishes for special cases of untwisted and twisted fields.
Applications of the general formulae to Kaluz-Klein type models and to
cylindrical and toroidal carbon nanotubes are given. In the absence of magnetic
flux the total fermionic current in carbon nanotubes vanishes, due to the
cancellation of contributions from two different sublattices of the graphene
hexagonal lattice.
|
[
{
"created": "Mon, 8 Feb 2010 11:51:58 GMT",
"version": "v1"
},
{
"created": "Sun, 22 Aug 2010 20:21:43 GMT",
"version": "v2"
}
] |
2010-11-12
|
[
[
"Bellucci",
"S.",
""
],
[
"Saharian",
"A. A.",
""
],
[
"Bardeghyan",
"V. M.",
""
]
] |
The vacuum expectation value of the fermionic current is evaluated for a massive spinor field in spacetimes with an arbitrary number of toroidally compactified spatial dimensions in presence of a constant gauge field. By using the Abel-Plana type summation formula and the zeta function technique we present the fermionic current in two different forms. Non-trivial topology of the background spacetime leads to the Aharonov-Bohm effect on the fermionic current induced by the gauge field. The current is a periodic function of the magnetic flux with the period equal to the flux quantum. In the absence of the gauge field it vanishes for special cases of untwisted and twisted fields. Applications of the general formulae to Kaluz-Klein type models and to cylindrical and toroidal carbon nanotubes are given. In the absence of magnetic flux the total fermionic current in carbon nanotubes vanishes, due to the cancellation of contributions from two different sublattices of the graphene hexagonal lattice.
| 6.389177
| 3.783011
| 6.614231
| 4.33094
| 4.727991
| 4.398821
| 4.079487
| 3.977218
| 4.213421
| 7.28095
| 4.453712
| 5.23277
| 6.087367
| 5.499311
| 5.381157
| 5.183643
| 5.279705
| 5.454842
| 5.523607
| 6.133394
| 5.593025
|
2309.14438
|
Napat Poovuttikul
|
Arpit Das, Adrien Florio, Nabil Iqbal, Napat Poovuttikul
|
Higher-form symmetry and chiral transport in real-time lattice $U(1)$
gauge theory
|
24 pages + appendix, 9 figures. Clarifications added. Comments are
welcomed
| null | null | null |
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study classical lattice simulations of theories of electrodynamics coupled
to charged matter at finite temperature, interpreting them using the
higher-form symmetry formulation of magnetohydrodynamics (MHD). We compute
transport coefficients using classical Kubo formulas on the lattice and show
that the properties of the simulated plasma are in complete agreement with the
predictions from effective field theories. In particular, the higher-form
formulation allows us to understand from hydrodynamic considerations the
relaxation rate of axial charge in the chiral plasma observed in previous
simulations. A key point is that the resistivity of the plasma -- defined in
terms of Kubo formulas for the electric field in the 1-form formulation of MHD
-- remains a well-defined and predictive quantity at strong electromagnetic
coupling. However, the Kubo formulas used to define the conventional
conductivity vanish at low frequencies due to electrodynamic fluctuations, and
thus the concept of the conductivity of a gauged electric current must be
interpreted with care.
|
[
{
"created": "Mon, 25 Sep 2023 18:00:54 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Mar 2024 15:16:25 GMT",
"version": "v2"
}
] |
2024-03-29
|
[
[
"Das",
"Arpit",
""
],
[
"Florio",
"Adrien",
""
],
[
"Iqbal",
"Nabil",
""
],
[
"Poovuttikul",
"Napat",
""
]
] |
We study classical lattice simulations of theories of electrodynamics coupled to charged matter at finite temperature, interpreting them using the higher-form symmetry formulation of magnetohydrodynamics (MHD). We compute transport coefficients using classical Kubo formulas on the lattice and show that the properties of the simulated plasma are in complete agreement with the predictions from effective field theories. In particular, the higher-form formulation allows us to understand from hydrodynamic considerations the relaxation rate of axial charge in the chiral plasma observed in previous simulations. A key point is that the resistivity of the plasma -- defined in terms of Kubo formulas for the electric field in the 1-form formulation of MHD -- remains a well-defined and predictive quantity at strong electromagnetic coupling. However, the Kubo formulas used to define the conventional conductivity vanish at low frequencies due to electrodynamic fluctuations, and thus the concept of the conductivity of a gauged electric current must be interpreted with care.
| 12.400008
| 12.467812
| 12.891531
| 12.198834
| 13.07628
| 13.149147
| 12.915462
| 12.697653
| 12.751177
| 13.927225
| 12.433114
| 12.489346
| 12.890999
| 12.197046
| 12.328087
| 12.003511
| 12.91078
| 11.853135
| 12.027604
| 12.044086
| 11.883227
|
2311.17322
|
Atakan Hilmi F{\i}rat
|
Theodore Erler and Atakan Hilmi F{\i}rat
|
Wilsonian effective potentials and closed string field theory
|
36 pages, 14 figures, 3 tables
|
JHEP02(2024)018
|
10.1007/JHEP02(2024)018
|
MIT-CTP/5648
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate Wilsonian effective field theory as a model for the
construction of the tachyon potential and nonperturbative vacua in closed
string field theory. In a number of cases we are able to find the effective
potential exactly, and observe what appear to be universal features. We find
that the effective field theory contains the same nonperturbative vacuum
structure as the bare Lagrangian, though this information is encoded less
efficiently as the distance scale of the effective field theory is increased.
The implication is that closed string field theory plausibly contains
information about the nonperturbative vacuum structure of string theory, in
spite of its similarities to effective field theory. We also truncate the
effective potential at a fixed power of the field and investigate how the
global structure of the effective potential may be approximated via Pad\'e
resummation. Qualitative comparisons suggest that computation of the eighth to
sixteenth order closed string vertex should be enough to obtain reliable
results for the closed string field theory action evaluated on the tachyon
field.
|
[
{
"created": "Wed, 29 Nov 2023 02:34:51 GMT",
"version": "v1"
}
] |
2024-02-06
|
[
[
"Erler",
"Theodore",
""
],
[
"Fırat",
"Atakan Hilmi",
""
]
] |
We investigate Wilsonian effective field theory as a model for the construction of the tachyon potential and nonperturbative vacua in closed string field theory. In a number of cases we are able to find the effective potential exactly, and observe what appear to be universal features. We find that the effective field theory contains the same nonperturbative vacuum structure as the bare Lagrangian, though this information is encoded less efficiently as the distance scale of the effective field theory is increased. The implication is that closed string field theory plausibly contains information about the nonperturbative vacuum structure of string theory, in spite of its similarities to effective field theory. We also truncate the effective potential at a fixed power of the field and investigate how the global structure of the effective potential may be approximated via Pad\'e resummation. Qualitative comparisons suggest that computation of the eighth to sixteenth order closed string vertex should be enough to obtain reliable results for the closed string field theory action evaluated on the tachyon field.
| 10.268457
| 11.070197
| 10.685722
| 10.101393
| 10.926768
| 10.88686
| 11.170773
| 10.341396
| 9.94428
| 10.849438
| 9.718814
| 9.633748
| 9.939797
| 9.737166
| 9.956923
| 9.565866
| 9.405807
| 9.984113
| 9.802399
| 10.098504
| 9.925646
|
hep-th/0507129
|
Juraj Bohacik
|
Juraj Bohacik and Peter Presnajder
|
Nonperturbative approach to(Wiener) functional integral with $\phi^4$
interaction
|
Presented at "Path integrals. From quantum information to cosmology",
8th International conference, Prague, June 6--10, 2005
| null | null | null |
hep-th
| null |
We propose the another, in principe nonperturbative, method of the evaluation
of the Wiener functional integral for $\phi^4$ term in the action. All infinite
summations in the results are proven to be convergent. We finf the
"generalized" Gelfand -- Yaglom differential equation implying the functional
integral in the continuum limit.
|
[
{
"created": "Thu, 14 Jul 2005 09:10:07 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Bohacik",
"Juraj",
""
],
[
"Presnajder",
"Peter",
""
]
] |
We propose the another, in principe nonperturbative, method of the evaluation of the Wiener functional integral for $\phi^4$ term in the action. All infinite summations in the results are proven to be convergent. We finf the "generalized" Gelfand -- Yaglom differential equation implying the functional integral in the continuum limit.
| 21.087645
| 25.521574
| 21.332663
| 19.595097
| 18.626936
| 20.24935
| 22.433805
| 20.364695
| 19.574528
| 20.525143
| 19.998877
| 18.91287
| 20.207294
| 18.81605
| 19.114492
| 18.964748
| 19.166639
| 19.960905
| 18.921576
| 20.114445
| 18.882778
|
1704.02530
|
Konstantin Stepanyantz
|
I.L.Buchbinder, E.A.Ivanov, B.S.Merzlikin, K.V.Stepanyantz
|
Supergraph analysis of the one-loop divergences in $6D$, ${\cal N} =
(1,0)$ and ${\cal N} = (1,1)$ gauge theories
|
32 pages, 5 figures
| null |
10.1016/j.nuclphysb.2017.05.010
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the one-loop effective action for $6D,$ ${\cal N}=(1,0)$
supersymmetric Yang--Mills (SYM) theory with hypermultiplets and $6D,$ ${\cal
N}=(1,1)$ SYM theory as a subclass of the former, using the off-shell
formulation of these theories in $6D,$ ${\cal N}=(1,0)$ harmonic superspace. We
develop the corresponding supergraph technique and apply it to compute the
one-loop divergences in the background field method ensuring the manifest gauge
invariance. We calculate the two-point Green functions of the gauge superfield
and the hypermultiplet, as well as the three-point gauge-hypermultipet Green
function. Using these Green functions and exploiting gauge invariance of the
theory, we find the full set of the off-shell one-loop divergent contributions,
including the logarithmic and power ones. Our results precisely match with
those obtained earlier in [1,2] within the proper time superfield method.
|
[
{
"created": "Sat, 8 Apr 2017 19:47:22 GMT",
"version": "v1"
}
] |
2017-06-28
|
[
[
"Buchbinder",
"I. L.",
""
],
[
"Ivanov",
"E. A.",
""
],
[
"Merzlikin",
"B. S.",
""
],
[
"Stepanyantz",
"K. V.",
""
]
] |
We study the one-loop effective action for $6D,$ ${\cal N}=(1,0)$ supersymmetric Yang--Mills (SYM) theory with hypermultiplets and $6D,$ ${\cal N}=(1,1)$ SYM theory as a subclass of the former, using the off-shell formulation of these theories in $6D,$ ${\cal N}=(1,0)$ harmonic superspace. We develop the corresponding supergraph technique and apply it to compute the one-loop divergences in the background field method ensuring the manifest gauge invariance. We calculate the two-point Green functions of the gauge superfield and the hypermultiplet, as well as the three-point gauge-hypermultipet Green function. Using these Green functions and exploiting gauge invariance of the theory, we find the full set of the off-shell one-loop divergent contributions, including the logarithmic and power ones. Our results precisely match with those obtained earlier in [1,2] within the proper time superfield method.
| 5.460592
| 4.701447
| 6.016347
| 4.92018
| 5.022876
| 4.876336
| 4.790871
| 4.603655
| 4.818767
| 6.433393
| 4.995303
| 4.899575
| 5.544078
| 5.162504
| 5.077432
| 4.980611
| 5.005896
| 5.028954
| 5.008372
| 5.504282
| 5.147305
|
0811.3866
|
Jarah Evslin
|
Jarah Evslin and Ruben Minasian
|
Topology Change from (Heterotic) Narain T-Duality
|
31 pages, 1 figure (xymatrix), typo fixed, ref added
|
Nucl.Phys.B820:213-236,2009
|
10.1016/j.nuclphysb.2009.05.021
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider Narain T-duality on a nontrivially fibered n-torus bundle in the
presence of a topologically nontrivial NS H flux. The action of the duality
group on the topology and H flux of the corresponding type II and heterotic
string backgrounds is determined. The topology change is specialized to the
case of supersymmetric T^2-fibered torsional string backgrounds with nontrivial
H flux. We prove that it preserves the global tadpole condition in the total
space as well as on the base of the torus fibration. We find that some of these
T-dualities exchange half of the field strength of an unbroken U(1) gauge
symmetry with the anti-selfdual part of the curvature of a physical circle
fibration. We verify that such T-dualities indeed exchange the supersymmetry
condition for the circle bundle with that of the gauge bundle.
|
[
{
"created": "Mon, 24 Nov 2008 13:21:36 GMT",
"version": "v1"
},
{
"created": "Sat, 13 Dec 2008 16:47:41 GMT",
"version": "v2"
}
] |
2009-07-22
|
[
[
"Evslin",
"Jarah",
""
],
[
"Minasian",
"Ruben",
""
]
] |
We consider Narain T-duality on a nontrivially fibered n-torus bundle in the presence of a topologically nontrivial NS H flux. The action of the duality group on the topology and H flux of the corresponding type II and heterotic string backgrounds is determined. The topology change is specialized to the case of supersymmetric T^2-fibered torsional string backgrounds with nontrivial H flux. We prove that it preserves the global tadpole condition in the total space as well as on the base of the torus fibration. We find that some of these T-dualities exchange half of the field strength of an unbroken U(1) gauge symmetry with the anti-selfdual part of the curvature of a physical circle fibration. We verify that such T-dualities indeed exchange the supersymmetry condition for the circle bundle with that of the gauge bundle.
| 9.396788
| 9.344741
| 11.730632
| 9.461359
| 8.763432
| 8.768892
| 8.907225
| 9.197399
| 8.73757
| 11.252126
| 9.081694
| 8.884476
| 9.860892
| 8.927224
| 8.885505
| 8.898756
| 8.854864
| 9.265235
| 9.006502
| 9.695797
| 9.30011
|
hep-th/0406170
|
Peng Wang
|
Peng Wang, Xin-He Meng (Nankai U.)
|
Codimension Two Branes in Einstein-Gauss-Bonnet Gravity
|
16 pages, no figures. v2: References added; v3: Reference added,
Sec.4 and 5 combined into one; v4: References added, minor corrections, to
appear in Physical Review D
|
Phys.Rev. D71 (2005) 024023
|
10.1103/PhysRevD.71.024023
| null |
hep-th
| null |
Codimension two branes play an interesting role in attacking the cosmological
constant problem. Recently, in order to handle some problems in codimension two
branes in Einstein gravity, Bostock {\it et al.} have proposed using
six-dimensional Einstein-Gauss-Bonnet (EGB) gravity instead of six-dimensional
Einstein gravity. In this paper, we present the solutions of codimension two
branes in six-dimensional EGB gravity. We show that Einstein's equations take a
"factorizable" form for a factorized metric tensor ansatz even in the presence
of the higher-derivative Gauss-Bonnet term. Especially, a new feature of the
solution is that the deficit angle depends on the brane geometry. We discuss
the implication of the solution to the cosmological constant problem. We also
comment on a possible problem of inflation model building on codimension two
branes.
|
[
{
"created": "Mon, 21 Jun 2004 08:15:01 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Jun 2004 05:30:10 GMT",
"version": "v2"
},
{
"created": "Fri, 30 Jul 2004 07:39:29 GMT",
"version": "v3"
},
{
"created": "Fri, 14 Jan 2005 07:41:45 GMT",
"version": "v4"
}
] |
2009-11-10
|
[
[
"Wang",
"Peng",
"",
"Nankai U."
],
[
"Meng",
"Xin-He",
"",
"Nankai U."
]
] |
Codimension two branes play an interesting role in attacking the cosmological constant problem. Recently, in order to handle some problems in codimension two branes in Einstein gravity, Bostock {\it et al.} have proposed using six-dimensional Einstein-Gauss-Bonnet (EGB) gravity instead of six-dimensional Einstein gravity. In this paper, we present the solutions of codimension two branes in six-dimensional EGB gravity. We show that Einstein's equations take a "factorizable" form for a factorized metric tensor ansatz even in the presence of the higher-derivative Gauss-Bonnet term. Especially, a new feature of the solution is that the deficit angle depends on the brane geometry. We discuss the implication of the solution to the cosmological constant problem. We also comment on a possible problem of inflation model building on codimension two branes.
| 6.782314
| 6.133048
| 6.300932
| 6.066193
| 6.696619
| 6.354975
| 6.193853
| 6.41228
| 6.488588
| 6.962863
| 6.098781
| 6.180395
| 6.07246
| 6.129007
| 6.273937
| 6.286283
| 6.226093
| 6.115283
| 5.80085
| 6.20555
| 6.270858
|
hep-th/9703187
|
Roger Sollie
|
I. Brevik, R. Sollie
|
On the Casimir energy for a 2N-piece relativistic string
|
22 pages, LaTeX. To appear in J. Math. Physics, June 1997
|
J.Math.Phys.38:2774-2785,1997
|
10.1063/1.532018
| null |
hep-th
| null |
The Casimir energy for the transverse oscillations of a piecewise uniform
closed string is calculated. The string consists of 2N pieces of equal length,
of alternating type I and type II material, and is taken to be relativistic in
the sense that the velocity of sound always equals the velocity of light. By
means of a new recursion formula we manage to calculate the Casimir energy for
arbitrary integers N. Agreement with results obtained in earlier works on the
string is found in all special cases. As basic regularization method we use the
contour integration method. As a check, agreement is found with results
obtained from the \zeta function method (the Hurwitz function) in the case of
low N (N = 1-4). The Casimir energy is generally negative, and the more so the
larger is the value of N. We illustrate the results graphically in some cases.
The generalization to finite temperature theory is also given.
|
[
{
"created": "Wed, 26 Mar 1997 13:36:36 GMT",
"version": "v1"
}
] |
2009-09-25
|
[
[
"Brevik",
"I.",
""
],
[
"Sollie",
"R.",
""
]
] |
The Casimir energy for the transverse oscillations of a piecewise uniform closed string is calculated. The string consists of 2N pieces of equal length, of alternating type I and type II material, and is taken to be relativistic in the sense that the velocity of sound always equals the velocity of light. By means of a new recursion formula we manage to calculate the Casimir energy for arbitrary integers N. Agreement with results obtained in earlier works on the string is found in all special cases. As basic regularization method we use the contour integration method. As a check, agreement is found with results obtained from the \zeta function method (the Hurwitz function) in the case of low N (N = 1-4). The Casimir energy is generally negative, and the more so the larger is the value of N. We illustrate the results graphically in some cases. The generalization to finite temperature theory is also given.
| 10.026108
| 8.715208
| 9.977177
| 8.504091
| 10.238626
| 9.037056
| 9.478036
| 8.546776
| 8.673343
| 11.164281
| 9.007477
| 8.957281
| 9.65965
| 9.198128
| 9.349811
| 9.329885
| 9.331949
| 9.187033
| 9.386944
| 9.597563
| 9.384377
|
hep-th/0509205
|
Makoto Sakaguchi
|
Holger B. Nielsen and Masao Ninomiya
|
Unification of Cosmology and Second Law of Thermodynamics: Solving
Cosmological Constant Problem, and Inflation
|
12 pages, revtex4
|
Prog.Theor.Phys.116:851-871,2007
|
10.1143/PTP.116.851
| null |
hep-th gr-qc
| null |
We seek here to unify the second law of thermodynamics with the other laws,
or at least to put up a law behind the second law of thermodynamics. Assuming
no fine tuning, concretely by a random Hamiltonian, we argue just from
equations of motion -- but {\em without} second law -- that entropy cannot go
first up and then down again except with the rather strict restriction
S_{large} \le S_{small 1} + S_{small 2}. Here S_{large} is the "large" entropy
in the middle era while S_{small 1} and S_{small 2} are the entropies at
certain times before and after the S_{large} - era respectively. From this
theorem of "no strong maximum for the entropy" a cyclic time S^1 model world
could have entropy at the most varying by a factor two and would not be
phenomenologically realistic. With an open ended time axis (-\infty, \infty)
={\bf R} some law behind the second law of thermodynamics is needed if we do
not obtain as the most likely happening that the entropy is maximal (i.e. the
heat death having already occurred from the start). We express such a law
behind the second law -- or unification of second law with the other ones -- by
assigning a probability weight $P$ for finding the world/the system in various
places in phase space. In such a model $P$ is almost unified with the rest as P
= exp (-2 ~S_{Im}) with S_{Im} going in as the imaginary part of the action. We
derive quite naturally the second law for practical purposes, a Big Bang with
two sided time directions and a need for a bottom in the Hamiltonian density.
Assuming the cosmological constant is a dynamical variable in the sense that it
is counted as "initial condition" we even solve in our model the cosmological
constant problem \underline{without} any allusion to anthropic principle.
|
[
{
"created": "Wed, 28 Sep 2005 02:19:51 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Nielsen",
"Holger B.",
""
],
[
"Ninomiya",
"Masao",
""
]
] |
We seek here to unify the second law of thermodynamics with the other laws, or at least to put up a law behind the second law of thermodynamics. Assuming no fine tuning, concretely by a random Hamiltonian, we argue just from equations of motion -- but {\em without} second law -- that entropy cannot go first up and then down again except with the rather strict restriction S_{large} \le S_{small 1} + S_{small 2}. Here S_{large} is the "large" entropy in the middle era while S_{small 1} and S_{small 2} are the entropies at certain times before and after the S_{large} - era respectively. From this theorem of "no strong maximum for the entropy" a cyclic time S^1 model world could have entropy at the most varying by a factor two and would not be phenomenologically realistic. With an open ended time axis (-\infty, \infty) ={\bf R} some law behind the second law of thermodynamics is needed if we do not obtain as the most likely happening that the entropy is maximal (i.e. the heat death having already occurred from the start). We express such a law behind the second law -- or unification of second law with the other ones -- by assigning a probability weight $P$ for finding the world/the system in various places in phase space. In such a model $P$ is almost unified with the rest as P = exp (-2 ~S_{Im}) with S_{Im} going in as the imaginary part of the action. We derive quite naturally the second law for practical purposes, a Big Bang with two sided time directions and a need for a bottom in the Hamiltonian density. Assuming the cosmological constant is a dynamical variable in the sense that it is counted as "initial condition" we even solve in our model the cosmological constant problem \underline{without} any allusion to anthropic principle.
| 18.293228
| 20.906229
| 20.371746
| 18.661798
| 20.246023
| 21.562229
| 20.868338
| 20.232403
| 18.978096
| 19.904869
| 18.553751
| 18.318592
| 18.351492
| 18.029556
| 18.245844
| 18.066181
| 18.6637
| 18.321655
| 17.956472
| 18.259586
| 17.974634
|
2107.04881
|
Khai Ming Wong
|
Dan Zhu, Khai-Ming Wong and Guo-Quan Wong
|
Oscillating monopole-antimonopole pair in the Weinberg-Salam model
|
A corrected, rewritten and up-to-date version is separately submitted
to arXiv:2207.06768
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate further the properties of axially symmetrical
monopole-antimonopole pair in the standard Weinberg-Salam theory. These
numerical solutions behave quite differently from their counterparts in the
SU(2) Yang-Mills-Higgs theory as the poles are now bounded by a flux string.
Our results confirm that the energy of these solutions resides in a range of
13.17 - 21.02 TeV. In addition, we found strong evidence suggesting this
configuration is time-dependent and discovered an energy oscillation phenomenon
between the monopole and anti-monopole, which is associated with the symmetry
of the solution. Finally, we calculate numerically the magnetic charge of the
solution and confirm that its value is indeed
$\frac{4\pi}{e}\sin^2\theta_{\scalebox{.5} {W}}$, as predicted by Y. Nambu in
the 1970s. Counterintuitively, the magnetic charge is spread out and
distributed along the string instead of concentrated near the poles.
|
[
{
"created": "Sat, 10 Jul 2021 17:56:52 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Jul 2022 08:37:12 GMT",
"version": "v2"
}
] |
2022-07-18
|
[
[
"Zhu",
"Dan",
""
],
[
"Wong",
"Khai-Ming",
""
],
[
"Wong",
"Guo-Quan",
""
]
] |
We investigate further the properties of axially symmetrical monopole-antimonopole pair in the standard Weinberg-Salam theory. These numerical solutions behave quite differently from their counterparts in the SU(2) Yang-Mills-Higgs theory as the poles are now bounded by a flux string. Our results confirm that the energy of these solutions resides in a range of 13.17 - 21.02 TeV. In addition, we found strong evidence suggesting this configuration is time-dependent and discovered an energy oscillation phenomenon between the monopole and anti-monopole, which is associated with the symmetry of the solution. Finally, we calculate numerically the magnetic charge of the solution and confirm that its value is indeed $\frac{4\pi}{e}\sin^2\theta_{\scalebox{.5} {W}}$, as predicted by Y. Nambu in the 1970s. Counterintuitively, the magnetic charge is spread out and distributed along the string instead of concentrated near the poles.
| 9.480926
| 9.46642
| 10.187384
| 8.888976
| 9.87867
| 9.035852
| 9.460882
| 9.153363
| 8.802774
| 10.563664
| 8.687664
| 9.155437
| 9.348609
| 9.106098
| 9.006889
| 8.733763
| 8.822058
| 9.22202
| 8.928595
| 9.105593
| 8.994775
|
hep-th/0401139
|
Kentaro Hori
|
Kentaro Hori
|
Boundary RG Flows of N=2 Minimal Models
|
29 pages
| null | null | null |
hep-th
| null |
We study boundary renormalization group flows of N=2 minimal models using
Landau-Ginzburg description of B-type. A simple algebraic relation of matrices
is relevant. We determine the pattern of the flows and identify the operators
that generate them. As an application, we show that the charge lattice of
B-branes in the level k minimal model is Z_{k+2}. We also reproduce the fact
that the charge lattice for the A-branes is Z^{k+1}, applying the B-brane
analysis on the mirror LG orbifold.
|
[
{
"created": "Wed, 21 Jan 2004 18:35:14 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Hori",
"Kentaro",
""
]
] |
We study boundary renormalization group flows of N=2 minimal models using Landau-Ginzburg description of B-type. A simple algebraic relation of matrices is relevant. We determine the pattern of the flows and identify the operators that generate them. As an application, we show that the charge lattice of B-branes in the level k minimal model is Z_{k+2}. We also reproduce the fact that the charge lattice for the A-branes is Z^{k+1}, applying the B-brane analysis on the mirror LG orbifold.
| 12.50166
| 12.230169
| 15.227776
| 13.186264
| 12.632345
| 12.704942
| 14.048969
| 11.741905
| 10.991667
| 15.405925
| 12.054816
| 12.540899
| 14.256484
| 11.915365
| 12.067219
| 12.49254
| 12.431199
| 12.642906
| 12.04324
| 14.089403
| 12.261339
|
1710.01046
|
Ugo Bruzzo
|
Ugo Bruzzo and Anna Fino and Pietro Fr\'e
|
The K\"ahler Quotient Resolution of $\mathbb{C}^3/\Gamma$ singularities,
the McKay correspondence and D=3 $\mathcal{N}=2$ Chern-Simons gauge theories
|
120 pages, 7 figures. v2: 121 pages, a few minor changes. v3:
references added. v4: 122 pages, 9 figures, minor changes in the
presentation. Final version to be published in Commun. Math. Phys
|
Commun. Math. Phys. 365 (2019) 93-214
|
10.1007/s00220-018-3203-z
|
ARC-17-6
|
hep-th math-ph math.AG math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We advocate that a generalized Kronheimer construction of the K\"ahler
quotient crepant resolution $\mathcal{M}_\zeta \longrightarrow
\mathbb{C}^3/\Gamma$ of an orbifold singularity where $\Gamma\subset
\mathrm{SU(3)}$ is a finite subgroup naturally defines the field content and
interaction structure of a superconformal Chern-Simons Gauge Theory. This is
supposedly the dual of an M2-brane solution of $D=11$ supergravity with
$\mathbb{C}\times\mathcal{M}_\zeta$ as transverse space. We illustrate and
discuss many aspects of this of constructions emphasizing that the equation
$\pmb{p}\wedge\pmb{p}=0$ which provides the K\"ahler analogue of the
holomorphic sector in the hyperK\"ahler moment map equations canonically
defines the structure of a universal superpotential in the CS theory. The
kernel of the above equation can be described as the orbit with respect to a
quiver Lie group $\mathcal{G}_\Gamma$ of a locus $L_\Gamma \subset
\mathrm{Hom}_\Gamma(\mathcal{Q}\otimes R,R)$ that has also a universal
definition. We discuss the relation between the coset manifold
$\mathcal{G}_\Gamma/\mathcal{F}_\Gamma$, the gauge group $\mathcal{F}_\Gamma$
being the maximal compact subgroup of the quiver group, the moment map
equations and the first Chern classes of the tautological vector bundles that
are in a one-to-one correspondence with the nontrivial irreps of $\Gamma$.
These first Chern classes provide a basis for the cohomology group
$H^2(\mathcal{M}_\zeta)$. We discuss the relation with conjugacy classes of
$\Gamma$ and provide the explicit construction of several examples emphasizing
the role of a generalized McKay correspondence. The case of the ALE manifold
resolution of $\mathbb{C}^2/\Gamma$ singularities is utilized as a comparison
term and new formulae related with the complex presentation of Gibbons-Hawking
metrics are exhibited.
|
[
{
"created": "Tue, 3 Oct 2017 09:24:33 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Nov 2017 13:31:43 GMT",
"version": "v2"
},
{
"created": "Mon, 27 Nov 2017 17:24:26 GMT",
"version": "v3"
},
{
"created": "Sun, 20 May 2018 08:43:40 GMT",
"version": "v4"
}
] |
2019-01-23
|
[
[
"Bruzzo",
"Ugo",
""
],
[
"Fino",
"Anna",
""
],
[
"Fré",
"Pietro",
""
]
] |
We advocate that a generalized Kronheimer construction of the K\"ahler quotient crepant resolution $\mathcal{M}_\zeta \longrightarrow \mathbb{C}^3/\Gamma$ of an orbifold singularity where $\Gamma\subset \mathrm{SU(3)}$ is a finite subgroup naturally defines the field content and interaction structure of a superconformal Chern-Simons Gauge Theory. This is supposedly the dual of an M2-brane solution of $D=11$ supergravity with $\mathbb{C}\times\mathcal{M}_\zeta$ as transverse space. We illustrate and discuss many aspects of this of constructions emphasizing that the equation $\pmb{p}\wedge\pmb{p}=0$ which provides the K\"ahler analogue of the holomorphic sector in the hyperK\"ahler moment map equations canonically defines the structure of a universal superpotential in the CS theory. The kernel of the above equation can be described as the orbit with respect to a quiver Lie group $\mathcal{G}_\Gamma$ of a locus $L_\Gamma \subset \mathrm{Hom}_\Gamma(\mathcal{Q}\otimes R,R)$ that has also a universal definition. We discuss the relation between the coset manifold $\mathcal{G}_\Gamma/\mathcal{F}_\Gamma$, the gauge group $\mathcal{F}_\Gamma$ being the maximal compact subgroup of the quiver group, the moment map equations and the first Chern classes of the tautological vector bundles that are in a one-to-one correspondence with the nontrivial irreps of $\Gamma$. These first Chern classes provide a basis for the cohomology group $H^2(\mathcal{M}_\zeta)$. We discuss the relation with conjugacy classes of $\Gamma$ and provide the explicit construction of several examples emphasizing the role of a generalized McKay correspondence. The case of the ALE manifold resolution of $\mathbb{C}^2/\Gamma$ singularities is utilized as a comparison term and new formulae related with the complex presentation of Gibbons-Hawking metrics are exhibited.
| 7.864732
| 8.558135
| 8.926251
| 7.811774
| 8.111196
| 8.163841
| 7.937918
| 7.837457
| 7.819073
| 9.285011
| 7.762328
| 7.609609
| 7.78547
| 7.59276
| 7.664079
| 7.603499
| 7.748533
| 7.646767
| 7.553327
| 7.720325
| 7.5407
|
hep-th/0409019
|
Jianxin Lu
|
J. X. Lu and S. Roy
|
Delocalized, non-SUSY $p$-branes, tachyon condensation and tachyon
matter
|
15 pages, typos corrected
|
JHEP0411:008,2004
|
10.1088/1126-6708/2004/11/008
|
USTC-ICTS-04-20, MCTP-04-52
|
hep-th
| null |
We construct non-supersymmetric $p$-brane solutions of type II supergravities
in arbitrary dimensions ($d$) delocalized in one of the spatial transverse
directions. By a Wick rotation we convert these solutions into Euclidean
$p$-branes delocalized in the transverse time-like direction. The former
solutions in $d=10$ nicely interpolate between the $(p+1)$-dimensional non-BPS
D-branes and the $p$-dimensional BPS D-branes very similar to the picture of
tachyon condensation for the tachyonic kink solution on the non-BPS D-branes.
On the other hand the latter solutions interpolate between the
$(p+1)$-dimensional non-BPS D-branes and the tachyon matter supergravity
configuration very similar to the picture of rolling tachyon on the non-BPS
D-branes.
|
[
{
"created": "Thu, 2 Sep 2004 02:00:57 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Sep 2004 16:29:12 GMT",
"version": "v2"
}
] |
2016-09-06
|
[
[
"Lu",
"J. X.",
""
],
[
"Roy",
"S.",
""
]
] |
We construct non-supersymmetric $p$-brane solutions of type II supergravities in arbitrary dimensions ($d$) delocalized in one of the spatial transverse directions. By a Wick rotation we convert these solutions into Euclidean $p$-branes delocalized in the transverse time-like direction. The former solutions in $d=10$ nicely interpolate between the $(p+1)$-dimensional non-BPS D-branes and the $p$-dimensional BPS D-branes very similar to the picture of tachyon condensation for the tachyonic kink solution on the non-BPS D-branes. On the other hand the latter solutions interpolate between the $(p+1)$-dimensional non-BPS D-branes and the tachyon matter supergravity configuration very similar to the picture of rolling tachyon on the non-BPS D-branes.
| 4.674407
| 4.401704
| 5.183776
| 4.226858
| 4.671072
| 4.127892
| 4.294085
| 4.225257
| 4.240759
| 5.223306
| 4.223819
| 4.525348
| 4.883704
| 4.473847
| 4.458947
| 4.463571
| 4.500899
| 4.504346
| 4.514709
| 4.884456
| 4.365397
|
hep-th/9310110
| null |
H.M. Babujian and R. Flume
|
Off-Shell Bethe Ansatz Equation for Gaudin Magnets and Solutions of
Knizhnik-Zamolodchikov Equations
|
10 pages (LaTeX), BONN-HE-93-30, YPI 1407 (18)-93
|
Mod.Phys.Lett. A9 (1994) 2029-2040
|
10.1142/S0217732394001891
| null |
hep-th
| null |
We generalize the previously established connection between the off-shell
Bethe ansatz equation for inhomogeneous SU(2) lattice vertex models in the
quasiclassical limit and the solutions of the SU(2) Knizhnik-Zamolodchikov
equations to the case of arbitrary simple Lie algebras.
|
[
{
"created": "Mon, 18 Oct 1993 15:33:12 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Babujian",
"H. M.",
""
],
[
"Flume",
"R.",
""
]
] |
We generalize the previously established connection between the off-shell Bethe ansatz equation for inhomogeneous SU(2) lattice vertex models in the quasiclassical limit and the solutions of the SU(2) Knizhnik-Zamolodchikov equations to the case of arbitrary simple Lie algebras.
| 5.807708
| 4.848228
| 7.267979
| 5.162221
| 4.720422
| 5.224609
| 4.446487
| 4.757288
| 4.717208
| 6.942471
| 5.007683
| 5.17561
| 6.441549
| 5.269564
| 5.181058
| 5.313191
| 5.353855
| 5.132357
| 5.416692
| 6.119002
| 5.279413
|
hep-th/0702215
|
Andjelo Samsarov
|
Sasa Kresic-Juric, Stjepan Meljanac, Marko Stojic
|
Covariant realizations of kappa-deformed space
|
31 pages, no figures, LaTeX
|
Eur.Phys.J.C51:229-240,2007
|
10.1140/epjc/s10052-007-0285-8
| null |
hep-th
| null |
We study a Lie algebra type $\kappa$-deformed space with undeformed rotation
algebra and commutative vector-like Dirac derivatives in a covariant way. Space
deformation depends on an arbitrary vector. Infinitely many covariant
realizations in terms of commuting coordinates of undeformed space and their
derivatives are constructed. The corresponding coproducts and star products are
found and related in a new way. All covariant realizations are physically
equivalent. Specially, a few simple realizations are found and discussed. The
scalar fields, invariants and the notion of invariant integration is discussed
in the natural realization.
|
[
{
"created": "Tue, 27 Feb 2007 19:12:57 GMT",
"version": "v1"
},
{
"created": "Thu, 29 May 2008 15:44:43 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Kresic-Juric",
"Sasa",
""
],
[
"Meljanac",
"Stjepan",
""
],
[
"Stojic",
"Marko",
""
]
] |
We study a Lie algebra type $\kappa$-deformed space with undeformed rotation algebra and commutative vector-like Dirac derivatives in a covariant way. Space deformation depends on an arbitrary vector. Infinitely many covariant realizations in terms of commuting coordinates of undeformed space and their derivatives are constructed. The corresponding coproducts and star products are found and related in a new way. All covariant realizations are physically equivalent. Specially, a few simple realizations are found and discussed. The scalar fields, invariants and the notion of invariant integration is discussed in the natural realization.
| 17.87365
| 15.037349
| 17.722528
| 14.943402
| 15.983918
| 16.762161
| 17.588791
| 14.838563
| 14.211403
| 18.368608
| 15.054861
| 15.047902
| 17.211554
| 15.497653
| 15.642912
| 16.259548
| 16.471462
| 16.091764
| 15.963368
| 16.766661
| 15.148146
|
2312.05298
|
Adrien Florio
|
Adrien Florio
|
Two-fermion negativity and confinement in the Schwinger model
|
6 pages 6 figures
| null | null | null |
hep-th cond-mat.str-el hep-lat hep-ph quant-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We consider the fermionic (logarithmic) negativity between two fermionic
modes in the Schwinger model. Recent results pointed out that fermionic systems
can exhibit stronger entanglement than bosonic systems, exhibiting a negativity
that decays only algebraically. The Schwinger model is described by fermionic
excitations at short distances, while its asymptotic spectrum is the one of a
bosonic theory. We show that the two-mode negativity detects this confining,
fermion-to-boson transition, shifting from an algebraic decay to an exponential
decay at distances of the order of the de Broglie wavelength of the first
excited state. We derive analytical expressions in the massless Schwinger model
and confront them with tensor network simulations. We also perform tensor
network simulations in the massive model, which is not solvable analytically,
and close to the Ising quantum critical point of the Schwinger model, where we
show that the negativity behaves as its bosonic counterpart.
|
[
{
"created": "Fri, 8 Dec 2023 19:00:00 GMT",
"version": "v1"
}
] |
2023-12-12
|
[
[
"Florio",
"Adrien",
""
]
] |
We consider the fermionic (logarithmic) negativity between two fermionic modes in the Schwinger model. Recent results pointed out that fermionic systems can exhibit stronger entanglement than bosonic systems, exhibiting a negativity that decays only algebraically. The Schwinger model is described by fermionic excitations at short distances, while its asymptotic spectrum is the one of a bosonic theory. We show that the two-mode negativity detects this confining, fermion-to-boson transition, shifting from an algebraic decay to an exponential decay at distances of the order of the de Broglie wavelength of the first excited state. We derive analytical expressions in the massless Schwinger model and confront them with tensor network simulations. We also perform tensor network simulations in the massive model, which is not solvable analytically, and close to the Ising quantum critical point of the Schwinger model, where we show that the negativity behaves as its bosonic counterpart.
| 8.051423
| 8.587087
| 8.876021
| 8.56874
| 9.173967
| 9.943151
| 9.592779
| 9.163013
| 8.953062
| 9.485974
| 8.416848
| 7.879435
| 7.859616
| 7.883204
| 7.995759
| 7.726786
| 8.131869
| 8.37055
| 7.922664
| 7.7032
| 7.772897
|
1111.0872
|
Mariano Chernicoff
|
Mariano Chernicoff, J. Antonio Garcia, Alberto Guijosa and Juan F.
Pedraza
|
Holographic Lessons for Quark Dynamics
|
Invited review for a Journal of Physics G topical volume on
gauge/gravity duality applications to QCD matter and ultrarelativistic
heavy-ion collisions. v2: Reference added
|
J.Phys.G G39, 054002 (2012)
|
10.1088/0954-3899/39/5/054002
|
UTTG-22-11; TCC-024-11
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We give a brief overview of recent results obtained through the gauge/gravity
correspondence, concerning the propagation of a heavy quark in strongly-coupled
conformal field theories (such as N=4 super-Yang-Mills), both at zero and
finite temperature. In the vacuum, we discuss energy loss, radiation damping,
signal propagation and radiation-induced fluctuations. In the presence of a
thermal plasma, our emphasis is on early-time energy loss, screening and
quark-antiquark evolution after pair creation. Throughout, quark dynamics is
seen to be efficiently encapsulated in the usual string worldsheet dynamics.
|
[
{
"created": "Thu, 3 Nov 2011 15:14:00 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Nov 2011 10:36:16 GMT",
"version": "v2"
}
] |
2012-09-24
|
[
[
"Chernicoff",
"Mariano",
""
],
[
"Garcia",
"J. Antonio",
""
],
[
"Guijosa",
"Alberto",
""
],
[
"Pedraza",
"Juan F.",
""
]
] |
We give a brief overview of recent results obtained through the gauge/gravity correspondence, concerning the propagation of a heavy quark in strongly-coupled conformal field theories (such as N=4 super-Yang-Mills), both at zero and finite temperature. In the vacuum, we discuss energy loss, radiation damping, signal propagation and radiation-induced fluctuations. In the presence of a thermal plasma, our emphasis is on early-time energy loss, screening and quark-antiquark evolution after pair creation. Throughout, quark dynamics is seen to be efficiently encapsulated in the usual string worldsheet dynamics.
| 8.947625
| 8.57921
| 10.606948
| 8.180966
| 8.021484
| 8.203918
| 7.752285
| 7.419492
| 8.773765
| 10.11079
| 7.997811
| 8.525927
| 9.570339
| 8.747303
| 8.891237
| 8.732142
| 9.079464
| 8.529328
| 8.918285
| 9.687457
| 8.426448
|
hep-th/0411147
|
Xavier Calmet
|
Xavier Calmet
|
Space-Time Symmetries of Noncommutative Spaces
|
7 pages, v2: typos corrected, to appear in Phys. Rev. D
|
Phys.Rev. D71 (2005) 085012
|
10.1103/PhysRevD.71.085012
| null |
hep-th hep-ph math-ph math.MP
| null |
We define a noncommutative Lorentz symmetry for canonical noncommutative
spaces. The noncommutative vector fields and the derivatives transform under a
deformed Lorentz transformation. We show that the star product is invariant
under noncommutative Lorentz transformations. We then apply our idea to the
case of actions obtained by expanding the star product and the fields taken in
the enveloping algebra via the Seiberg-Witten maps and verify that these
actions are invariant under these new noncommutative Lorentz transformations.
We finally consider general coordinate transformations and show that the metric
is undeformed.
|
[
{
"created": "Mon, 15 Nov 2004 19:56:56 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Apr 2005 20:52:37 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Calmet",
"Xavier",
""
]
] |
We define a noncommutative Lorentz symmetry for canonical noncommutative spaces. The noncommutative vector fields and the derivatives transform under a deformed Lorentz transformation. We show that the star product is invariant under noncommutative Lorentz transformations. We then apply our idea to the case of actions obtained by expanding the star product and the fields taken in the enveloping algebra via the Seiberg-Witten maps and verify that these actions are invariant under these new noncommutative Lorentz transformations. We finally consider general coordinate transformations and show that the metric is undeformed.
| 8.08259
| 7.489854
| 8.081684
| 6.883462
| 7.772289
| 7.178467
| 6.963562
| 6.969946
| 7.459132
| 8.549873
| 6.867002
| 7.2408
| 7.843862
| 7.357692
| 7.429376
| 7.297348
| 7.45163
| 7.324318
| 7.596564
| 7.817375
| 7.06453
|
hep-th/0411058
|
Philippe Brax
|
Ph. Brax, N. Chatillon and D. A. Steer
|
Effective actions of a Gauss-Bonnet brane world with brane curvature
terms
|
14 pages
|
Phys.Lett. B608 (2005) 130-141
|
10.1016/j.physletb.2004.12.034
| null |
hep-th
| null |
We consider a warped brane world scenario with two branes, Gauss-Bonnet
gravity in the bulk, and brane localised curvature terms. When matter is
present on both branes, we investigate the linear equations of motion and
distinguish three regimes. At very high energy and for an observer on the
positive tension brane, gravity is four dimensional and coupled to the brane
bending mode in a Brans-Dicke fashion. The coupling to matter and brane bending
on the negative tension brane is exponentially suppressed. In an intermediate
regime, gravity appears to be five dimensional while the brane bending mode
remains four dimensional. At low energy, matter on both branes couple to
gravity for an observer on the positive tension brane, with a Brans-Dicke
description similar to the 2--brane Randall-Sundrum setup. We also consider the
zero mode truncation at low energy and show that the moduli approximation fails
to reproduce the low energy action.
|
[
{
"created": "Thu, 4 Nov 2004 17:29:45 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Brax",
"Ph.",
""
],
[
"Chatillon",
"N.",
""
],
[
"Steer",
"D. A.",
""
]
] |
We consider a warped brane world scenario with two branes, Gauss-Bonnet gravity in the bulk, and brane localised curvature terms. When matter is present on both branes, we investigate the linear equations of motion and distinguish three regimes. At very high energy and for an observer on the positive tension brane, gravity is four dimensional and coupled to the brane bending mode in a Brans-Dicke fashion. The coupling to matter and brane bending on the negative tension brane is exponentially suppressed. In an intermediate regime, gravity appears to be five dimensional while the brane bending mode remains four dimensional. At low energy, matter on both branes couple to gravity for an observer on the positive tension brane, with a Brans-Dicke description similar to the 2--brane Randall-Sundrum setup. We also consider the zero mode truncation at low energy and show that the moduli approximation fails to reproduce the low energy action.
| 7.704933
| 8.088779
| 8.537218
| 7.421767
| 7.870721
| 8.172674
| 7.603169
| 7.852309
| 7.010026
| 8.319057
| 7.540373
| 7.649294
| 7.923665
| 7.599119
| 7.456729
| 7.702296
| 7.45162
| 7.336049
| 7.270177
| 7.706242
| 7.602196
|
hep-th/9703142
|
Boris Rusakov
|
B.Rusakov (Oxford University)
|
Exactly Soluble QCD and Confinement of Quarks
|
12 pages, LaTeX (substantial revision and reorganization of the text;
the emphasis redirected to the physics of the approach; no change in the
resulting model and conclusion)
|
Nucl.Phys. B507 (1997) 691-706
|
10.1016/S0550-3213(97)00604-4
|
OUTP-97-13P
|
hep-th hep-lat hep-ph
| null |
An exactly soluble non-perturbative model of the pure gauge QCD is derived as
a weak coupling limit of the lattice theory in plaquette formulation. The model
represents QCD as a theory of the weakly interacting field strength fluxes. The
area law behavior of the Wilson loop average is a direct result of this
representation: the total flux through macroscopic loop is the additive (due to
the weakness of the interaction) function of the elementary fluxes. The
compactness of the gauge group is shown to be the factor which prevents the
elementary fluxes contributions from cancellation. There is no area law in the
non-compact theory.
|
[
{
"created": "Thu, 20 Mar 1997 15:45:29 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Mar 1997 14:36:08 GMT",
"version": "v2"
},
{
"created": "Sun, 13 Apr 1997 20:39:22 GMT",
"version": "v3"
},
{
"created": "Fri, 18 Jul 1997 12:37:59 GMT",
"version": "v4"
}
] |
2009-10-30
|
[
[
"Rusakov",
"B.",
"",
"Oxford University"
]
] |
An exactly soluble non-perturbative model of the pure gauge QCD is derived as a weak coupling limit of the lattice theory in plaquette formulation. The model represents QCD as a theory of the weakly interacting field strength fluxes. The area law behavior of the Wilson loop average is a direct result of this representation: the total flux through macroscopic loop is the additive (due to the weakness of the interaction) function of the elementary fluxes. The compactness of the gauge group is shown to be the factor which prevents the elementary fluxes contributions from cancellation. There is no area law in the non-compact theory.
| 9.382694
| 9.466081
| 9.766041
| 8.30019
| 9.612519
| 8.44191
| 10.053278
| 9.820485
| 9.397827
| 10.083591
| 9.1717
| 8.77688
| 9.308282
| 9.056905
| 8.805001
| 8.919707
| 9.161067
| 8.460812
| 8.781635
| 9.600179
| 8.938254
|
hep-th/0312186
|
Claudio Dappiaggi
|
Giovanni Arcioni, Claudio Dappiaggi
|
Holography in asymptotically flat space-times and the BMS group
|
31 pages, several changes in section 3 and 7 and references updated
|
Class.Quant.Grav.21:5655,2004
|
10.1088/0264-9381/21/23/022
|
RI-12-03, FNT/T 2003/15
|
hep-th gr-qc math-ph math.MP
| null |
In a previous paper (hep-th/0306142) we have started to explore the
holographic principle in the case of asymptotically flat space-times and
analyzed in particular different aspects of the Bondi-Metzner-Sachs (BMS)
group, namely the asymptotic symmetry group of any asymptotically flat
space-time. We continue this investigation in this paper. Having in mind a
S-matrix approach with future and past null infinity playing the role of
holographic screens on which the BMS group acts, we connect the IR sectors of
the gravitational field with the representation theory of the BMS group. We
analyze the (complicated) mapping between bulk and boundary symmetries pointing
out differences with respect to the AdS/CFT set up. Finally we construct a BMS
phase space and a free hamiltonian for fields transforming w.r.t BMS
representations. The last step is supposed to be an explorative investigation
of the boundary data living on the degenerate null manifold at infinity.
|
[
{
"created": "Tue, 16 Dec 2003 15:04:04 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Nov 2004 15:27:01 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Arcioni",
"Giovanni",
""
],
[
"Dappiaggi",
"Claudio",
""
]
] |
In a previous paper (hep-th/0306142) we have started to explore the holographic principle in the case of asymptotically flat space-times and analyzed in particular different aspects of the Bondi-Metzner-Sachs (BMS) group, namely the asymptotic symmetry group of any asymptotically flat space-time. We continue this investigation in this paper. Having in mind a S-matrix approach with future and past null infinity playing the role of holographic screens on which the BMS group acts, we connect the IR sectors of the gravitational field with the representation theory of the BMS group. We analyze the (complicated) mapping between bulk and boundary symmetries pointing out differences with respect to the AdS/CFT set up. Finally we construct a BMS phase space and a free hamiltonian for fields transforming w.r.t BMS representations. The last step is supposed to be an explorative investigation of the boundary data living on the degenerate null manifold at infinity.
| 9.618769
| 9.422314
| 10.154119
| 9.040135
| 9.339164
| 9.095388
| 10.625601
| 9.374945
| 9.555956
| 10.836176
| 9.119056
| 9.2792
| 9.422441
| 9.086536
| 9.301733
| 9.065488
| 9.384525
| 8.977404
| 9.23201
| 9.307625
| 9.164972
|
hep-th/9910153
|
Christian Rupp
|
Christian Rupp
|
Conformal Transformation Properties of the B-type Supercurrent
|
37 pages, AMSLaTeX, needs font rsfs and style mathrsfs
| null | null |
NTZ 23/1999
|
hep-th
| null |
We investigate the superconformal transformation properties of the
supercurrent as well as of the superconformal anomalies themselves in d=4, N=1
supersymmetric quantum field theory. Matter supercurrent and anomalies are
coupled to a classical background of minimal supergravity fields. On flat
superspace, there exist two different types of the superconformal Ward identity
(called S and B) which correspond to the flat space limits of old resp. new
minimal background supergravity fields. In the present publication we give
particular importance to the new minimal case. A general formalism is set up
which is then applied to the massless Wess-Zumino model.
|
[
{
"created": "Tue, 19 Oct 1999 13:18:20 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Rupp",
"Christian",
""
]
] |
We investigate the superconformal transformation properties of the supercurrent as well as of the superconformal anomalies themselves in d=4, N=1 supersymmetric quantum field theory. Matter supercurrent and anomalies are coupled to a classical background of minimal supergravity fields. On flat superspace, there exist two different types of the superconformal Ward identity (called S and B) which correspond to the flat space limits of old resp. new minimal background supergravity fields. In the present publication we give particular importance to the new minimal case. A general formalism is set up which is then applied to the massless Wess-Zumino model.
| 11.037281
| 11.358659
| 12.604999
| 10.696394
| 12.470954
| 12.10908
| 10.571026
| 11.052829
| 10.289946
| 14.21376
| 10.439847
| 10.592562
| 10.511836
| 10.594667
| 11.049541
| 10.625894
| 10.532247
| 10.70402
| 10.474162
| 10.643834
| 10.359161
|
1809.08228
|
Daniel Schubring
|
Daniel Schubring and Mikhail Shifman
|
Interpolating Between $CP(N-1)$ and $S^{2N-1}$ Target Spaces
|
35 pages, 1 figure
|
Phys. Rev. D 101, 045003 (2020)
|
10.1103/PhysRevD.101.045003
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Some magnetic phenomena in correlated electron systems were recently shown to
be described in the continuum limit by a class of sigma models which present a
U(1) Hopf fibration over CP(1). In this paper we study a generalization of such
models with a target space given by a U(1) fibration over Grassmannian
manifolds, of which CP($N-1$) is a special case. The metric of our target space
is shown to be left-symmetric which implies that it is fully parametrized by
two constants: the first one -- the conventional coupling constant -- is
responsible for the overall scale while the second constant $\kappa$
parametrizes the strength of a deformation. In two dimensions these sigma
models are perturbatively renormalizable. We calculate their $\beta$ functions
to two loops and find the RG flow of the coupling constants. We calculate the
two-point function in the UV limit, which has a power law dependence with an
exponent dependent on the RG trajectory.
|
[
{
"created": "Fri, 21 Sep 2018 17:52:19 GMT",
"version": "v1"
},
{
"created": "Thu, 31 Jan 2019 19:37:22 GMT",
"version": "v2"
}
] |
2020-02-12
|
[
[
"Schubring",
"Daniel",
""
],
[
"Shifman",
"Mikhail",
""
]
] |
Some magnetic phenomena in correlated electron systems were recently shown to be described in the continuum limit by a class of sigma models which present a U(1) Hopf fibration over CP(1). In this paper we study a generalization of such models with a target space given by a U(1) fibration over Grassmannian manifolds, of which CP($N-1$) is a special case. The metric of our target space is shown to be left-symmetric which implies that it is fully parametrized by two constants: the first one -- the conventional coupling constant -- is responsible for the overall scale while the second constant $\kappa$ parametrizes the strength of a deformation. In two dimensions these sigma models are perturbatively renormalizable. We calculate their $\beta$ functions to two loops and find the RG flow of the coupling constants. We calculate the two-point function in the UV limit, which has a power law dependence with an exponent dependent on the RG trajectory.
| 8.691843
| 8.384266
| 9.533746
| 8.404664
| 8.706676
| 9.242183
| 8.979074
| 8.563687
| 8.394919
| 9.276384
| 8.126999
| 8.546914
| 8.928238
| 8.507384
| 8.383372
| 8.386682
| 8.183705
| 8.360371
| 8.321892
| 9.044267
| 8.143932
|
hep-th/0303098
|
Tekin Dereli
|
A.H.Bilge (Istanbul Tech U), T.Dereli (Koc U), S.Kocak (Anadolu U)
|
Seiberg-Witten type monopole equations on 8-manifolds with Spin(7)
holonomy as minimizers of a quadratic action
|
18 pages, LATEX file, no figures
|
JHEP 0304 (2003) 003
|
10.1088/1126-6708/2003/04/003
| null |
hep-th
| null |
We obtain an elliptic system of monopole equations on 8-manifolds with
Spin(7) holonomy by minimizing an action involving negative spinors coupled to
an Abelian gauge fields.
|
[
{
"created": "Tue, 11 Mar 2003 16:04:17 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Bilge",
"A. H.",
"",
"Istanbul Tech U"
],
[
"Dereli",
"T.",
"",
"Koc U"
],
[
"Kocak",
"S.",
"",
"Anadolu U"
]
] |
We obtain an elliptic system of monopole equations on 8-manifolds with Spin(7) holonomy by minimizing an action involving negative spinors coupled to an Abelian gauge fields.
| 15.149175
| 11.972837
| 19.337702
| 13.987534
| 12.981642
| 14.203734
| 13.857316
| 13.384944
| 10.988241
| 21.421936
| 11.484307
| 11.885957
| 13.562338
| 14.242908
| 12.914726
| 13.192905
| 12.642228
| 13.22568
| 14.188777
| 12.721709
| 12.029769
|
1205.2953
|
Rafael Sorkin
|
Rafael D. Sorkin
|
Expressing entropy globally in terms of (4D) field-correlations
|
plainTeX, 14 pages, 2 figures. To appear in proceedings of ICGC2011,
held Goa, Journal of Physics Conference Series. Most current version is
available at http://www.perimeterinstitute.ca/personal/rsorkin/some.papers/
(or wherever my home-page may be, such as
http://www.physics.syr.edu/~sorkin/some.papers/)
| null | null | null |
hep-th gr-qc math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We express the entropy of a scalar field phi directly in terms of its
spacetime correlation function W(x,y) = <phi(x) phi(y)>, assuming that the
higher correlators are of "Gaussian" form. The resulting formula associates an
entropy S(R) to any spacetime region R; and when R is globally hyperbolic with
Cauchy surface Sigma, S(R) can be interpreted as the entropy of the reduced
density-matrix belonging to Sigma. One acquires in particular a new expression
for the entropy of entanglement across an event-horizon. Thanks to its
spacetime character, this expression makes sense in a causal set as well as in
a continuum spacetime.
|
[
{
"created": "Mon, 14 May 2012 07:40:07 GMT",
"version": "v1"
}
] |
2012-05-15
|
[
[
"Sorkin",
"Rafael D.",
""
]
] |
We express the entropy of a scalar field phi directly in terms of its spacetime correlation function W(x,y) = <phi(x) phi(y)>, assuming that the higher correlators are of "Gaussian" form. The resulting formula associates an entropy S(R) to any spacetime region R; and when R is globally hyperbolic with Cauchy surface Sigma, S(R) can be interpreted as the entropy of the reduced density-matrix belonging to Sigma. One acquires in particular a new expression for the entropy of entanglement across an event-horizon. Thanks to its spacetime character, this expression makes sense in a causal set as well as in a continuum spacetime.
| 8.533559
| 8.821949
| 8.462589
| 8.362647
| 8.581433
| 8.738895
| 8.381953
| 9.22839
| 8.535472
| 8.438486
| 8.939358
| 8.492568
| 8.069347
| 8.377997
| 8.256181
| 8.009218
| 8.389825
| 8.135047
| 7.973362
| 8.613588
| 8.372173
|
hep-th/0605196
|
Steven B. Giddings
|
Steven B. Giddings
|
Black hole information, unitarity, and nonlocality
|
34 pages, 4 figures. Major revision of hep-th/0604047. v2: minor
corrections and added reference
|
Phys.Rev.D74:106005,2006
|
10.1103/PhysRevD.74.106005
| null |
hep-th gr-qc
| null |
The black hole information paradox apparently indicates the need for a
fundamentally new ingredient in physics. The leading contender is nonlocality.
Possible mechanisms for the nonlocality needed to restore unitarity to black
hole evolution are investigated. Suggestions that such dynamics arises from
ultra-planckian modes in Hawking's derivation are investigated and found not to
be relevant, in a picture using smooth slices spanning the exterior and
interior of the horizon. However, no simultaneous description of modes that
have fallen into the black hole and outgoing Hawking modes can be given without
appearance of a large kinematic invariant, or other dependence on
ultra-planckian physics; a reliable argument for information loss thus has not
been constructed. This suggests that strong gravitational dynamics is
important. Such dynamics has been argued to be fundamentally nonlocal in
extreme situations, such as those required to investigate the fate of
information.
|
[
{
"created": "Fri, 19 May 2006 19:12:21 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Jun 2006 04:25:14 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Giddings",
"Steven B.",
""
]
] |
The black hole information paradox apparently indicates the need for a fundamentally new ingredient in physics. The leading contender is nonlocality. Possible mechanisms for the nonlocality needed to restore unitarity to black hole evolution are investigated. Suggestions that such dynamics arises from ultra-planckian modes in Hawking's derivation are investigated and found not to be relevant, in a picture using smooth slices spanning the exterior and interior of the horizon. However, no simultaneous description of modes that have fallen into the black hole and outgoing Hawking modes can be given without appearance of a large kinematic invariant, or other dependence on ultra-planckian physics; a reliable argument for information loss thus has not been constructed. This suggests that strong gravitational dynamics is important. Such dynamics has been argued to be fundamentally nonlocal in extreme situations, such as those required to investigate the fate of information.
| 18.334948
| 19.233234
| 19.424101
| 18.32996
| 19.547678
| 20.272465
| 18.799728
| 17.774967
| 18.198267
| 21.032862
| 18.164103
| 17.398003
| 18.774643
| 17.288212
| 17.897038
| 17.48242
| 17.875601
| 18.070339
| 17.679926
| 18.554728
| 17.568632
|
0903.0281
|
Daniele Bettinelli
|
Daniele Bettinelli, Ruggero Ferrari, Andrea Quadri
|
One-loop Self-energies in the Electroweak Model with Nonlinearly
Realized Gauge Group
|
29 pages, final version published by Phys. Rev. D, some typos
corrected in eqs.(5), (18) and (19). The errors have a pure editing origin.
Therefore they do not affect the content of the paper
|
Phys.Rev.D79:125028,2009
|
10.1103/PhysRevD.79.125028
|
MIT-CTP-4015, IFUM-937-FT
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We evaluate at one loop the self-energies in generic D dimensions for the W,Z
mesons in the Electroweak model where the gauge group is nonlinearly realized.
In this model the Higgs boson parameters are absent, while a second mass
parameter appears together with a scale for the radiative corrections. We
estimate these parameters in a simplified fit on leptons and gauge bosons data.
We check physical unitarity and the absence of infrared divergences. Landau
gauge is used.
|
[
{
"created": "Mon, 2 Mar 2009 12:43:37 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Nov 2010 14:00:39 GMT",
"version": "v2"
}
] |
2010-11-22
|
[
[
"Bettinelli",
"Daniele",
""
],
[
"Ferrari",
"Ruggero",
""
],
[
"Quadri",
"Andrea",
""
]
] |
We evaluate at one loop the self-energies in generic D dimensions for the W,Z mesons in the Electroweak model where the gauge group is nonlinearly realized. In this model the Higgs boson parameters are absent, while a second mass parameter appears together with a scale for the radiative corrections. We estimate these parameters in a simplified fit on leptons and gauge bosons data. We check physical unitarity and the absence of infrared divergences. Landau gauge is used.
| 17.493111
| 15.515306
| 15.151211
| 15.030062
| 16.250937
| 16.700083
| 15.494124
| 15.601286
| 16.042458
| 16.389942
| 15.026464
| 16.215979
| 14.756396
| 14.463818
| 15.065055
| 16.477692
| 14.953474
| 15.420253
| 14.960061
| 15.379851
| 15.330618
|
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