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2.01k
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|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2106.03629
|
Tobias Binder
|
Tobias Binder
|
A study of potential non-relativistic QED pairs in the Keldysh-Schwinger
formalism
|
10 pages, 1 figure, major revision
| null | null | null |
hep-th cond-mat.quant-gas cond-mat.str-el hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
Potential non-relativistic Quantum Electrodynamics and the Keldysh-Schwinger
formalism is used to derive Kadanoff-Baym-like equations for two-body field
correlators. These cover the out-off-equilibrium dynamics and spectrum of heavy
particle-antiparticle pairs under ultra-soft transitions inside a plasma
background, whose temperature is much smaller compared to the typical relative
pair momentum. It is shown that the dynamical equation for the pair phase-space
distribution function, containing recombination and dissociation via the
electric dipole interactions, is consistent with the previous open quantum
system treatment of bound states in the Coulomb limit of the two-body spectral
function.
|
[
{
"created": "Mon, 7 Jun 2021 14:02:24 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Oct 2021 16:29:16 GMT",
"version": "v2"
}
] |
2021-10-13
|
[
[
"Binder",
"Tobias",
""
]
] |
Potential non-relativistic Quantum Electrodynamics and the Keldysh-Schwinger formalism is used to derive Kadanoff-Baym-like equations for two-body field correlators. These cover the out-off-equilibrium dynamics and spectrum of heavy particle-antiparticle pairs under ultra-soft transitions inside a plasma background, whose temperature is much smaller compared to the typical relative pair momentum. It is shown that the dynamical equation for the pair phase-space distribution function, containing recombination and dissociation via the electric dipole interactions, is consistent with the previous open quantum system treatment of bound states in the Coulomb limit of the two-body spectral function.
| 15.936835
| 19.093264
| 16.210119
| 14.293183
| 17.791809
| 17.018862
| 16.371429
| 15.470953
| 13.804384
| 13.914474
| 15.459433
| 14.461793
| 14.48166
| 14.055596
| 14.616641
| 14.605127
| 14.344872
| 14.753388
| 13.9388
| 14.691452
| 14.420704
|
hep-th/9409048
|
Marco Tarlini
|
F.Bonechi, N.Ciccoli, R.Giachetti, E.Sorace and M.Tarlini
|
Free q-Schrodinger Equation from Homogeneous Spaces of the 2-dim
Euclidean Quantum Group
|
19 pages, plain tex, revised version with added material
|
Commun.Math.Phys. 175 (1996) 161-176
|
10.1007/BF02101628
| null |
hep-th
| null |
After a preliminary review of the definition and the general properties of
the homogeneous spaces of quantum groups, the quantum hyperboloid qH and the
quantum plane qP are determined as homogeneous spaces of Fq(E(2)). The
canonical action of Eq(2) is used to define a natural q-analog of the free
Schro"dinger equation, that is studied in the momentum and angular momentum
bases. In the first case the eigenfunctions are factorized in terms of products
of two q-exponentials. In the second case we determine the eigenstates of the
unitary representation, which, in the qP case, are given in terms of Hahn-Exton
functions. Introducing the universal T-matrix for Eq(2) we prove that the
Hahn-Exton as well as Jackson q-Bessel functions are also obtained as matrix
elements of T, thus giving the correct extension to quantum groups of well
known methods in harmonic analysis.
|
[
{
"created": "Fri, 9 Sep 1994 10:44:37 GMT",
"version": "v1"
},
{
"created": "Thu, 4 May 1995 14:23:00 GMT",
"version": "v2"
},
{
"created": "Thu, 6 Jul 1995 16:49:33 GMT",
"version": "v3"
}
] |
2009-10-28
|
[
[
"Bonechi",
"F.",
""
],
[
"Ciccoli",
"N.",
""
],
[
"Giachetti",
"R.",
""
],
[
"Sorace",
"E.",
""
],
[
"Tarlini",
"M.",
""
]
] |
After a preliminary review of the definition and the general properties of the homogeneous spaces of quantum groups, the quantum hyperboloid qH and the quantum plane qP are determined as homogeneous spaces of Fq(E(2)). The canonical action of Eq(2) is used to define a natural q-analog of the free Schro"dinger equation, that is studied in the momentum and angular momentum bases. In the first case the eigenfunctions are factorized in terms of products of two q-exponentials. In the second case we determine the eigenstates of the unitary representation, which, in the qP case, are given in terms of Hahn-Exton functions. Introducing the universal T-matrix for Eq(2) we prove that the Hahn-Exton as well as Jackson q-Bessel functions are also obtained as matrix elements of T, thus giving the correct extension to quantum groups of well known methods in harmonic analysis.
| 10.686526
| 12.344728
| 11.431376
| 11.514931
| 12.106367
| 12.086926
| 11.449337
| 11.248472
| 11.15065
| 13.163344
| 10.715719
| 9.957687
| 10.855992
| 10.044224
| 10.484504
| 10.099813
| 10.148124
| 10.055484
| 10.550123
| 10.773113
| 9.986463
|
hep-th/0410261
|
Asato Tsuchiya
|
Matsuo Sato and Asato Tsuchiya
|
M5-brane Effective Action as an On-shell Action in Supergravity
|
20 pages, references added, typos corrected
|
JHEP0411:067,2004
|
10.1088/1126-6708/2004/11/067
|
OU-HET 496
|
hep-th
| null |
We show that the covariant effective action for M5-brane is a solution to the
Hamilton-Jacobi (H-J) equations of 11-dimensional supergravity. The solution to
the H-J equations reproduces the supergravity solution that represents the
M2-M5 bound states.
|
[
{
"created": "Wed, 27 Oct 2004 07:42:26 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Nov 2004 02:06:51 GMT",
"version": "v2"
},
{
"created": "Wed, 5 Jan 2005 02:30:59 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Sato",
"Matsuo",
""
],
[
"Tsuchiya",
"Asato",
""
]
] |
We show that the covariant effective action for M5-brane is a solution to the Hamilton-Jacobi (H-J) equations of 11-dimensional supergravity. The solution to the H-J equations reproduces the supergravity solution that represents the M2-M5 bound states.
| 8.394063
| 6.496898
| 9.304759
| 6.563109
| 7.033881
| 5.866115
| 6.581045
| 6.678438
| 6.205092
| 10.667691
| 6.162592
| 7.125354
| 8.265142
| 7.281003
| 6.860927
| 6.859258
| 7.201137
| 7.042041
| 7.06095
| 7.909514
| 6.90153
|
hep-th/0403189
|
Oren Bergman Dr.
|
Oren Bergman and Gilad Lifschytz
|
Schwarzschild black branes from unstable D-branes
|
15 pages, Latex; v2: corrected typos; v3: added a more careful
analysis of the lambda=0 non-dilatonic black holes; v4: corrected misprints,
version to appear in JHEP
|
JHEP 0404 (2004) 060
|
10.1088/1126-6708/2004/04/060
| null |
hep-th
| null |
We study systems with a large number of meta-stable Dp-branes, and show that
they describe Schwarzschild and Schwarzschild-like black branes, generalizing
the results of Danielsson, Guijosa and Kruczenski. The systems are considered
in both the open and closed string pictures. We identify the horizon size and
its relation to the physics of open and closed strings. From the closed string
perspective the region inside the horizon is where the effects of massive
closed strings become important.
|
[
{
"created": "Thu, 18 Mar 2004 20:33:06 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Apr 2004 12:05:25 GMT",
"version": "v2"
},
{
"created": "Wed, 14 Apr 2004 11:43:08 GMT",
"version": "v3"
},
{
"created": "Tue, 11 May 2004 07:54:44 GMT",
"version": "v4"
}
] |
2009-11-10
|
[
[
"Bergman",
"Oren",
""
],
[
"Lifschytz",
"Gilad",
""
]
] |
We study systems with a large number of meta-stable Dp-branes, and show that they describe Schwarzschild and Schwarzschild-like black branes, generalizing the results of Danielsson, Guijosa and Kruczenski. The systems are considered in both the open and closed string pictures. We identify the horizon size and its relation to the physics of open and closed strings. From the closed string perspective the region inside the horizon is where the effects of massive closed strings become important.
| 11.55267
| 8.85683
| 11.813842
| 8.634716
| 8.983895
| 9.309814
| 8.815574
| 8.378574
| 8.505547
| 11.230416
| 8.589115
| 9.657267
| 10.903022
| 10.244784
| 10.494548
| 10.554932
| 10.550868
| 9.953854
| 10.287889
| 11.533075
| 10.005559
|
1307.5469
|
R Loll
|
S. Jordan and R. Loll
|
De Sitter Universe from Causal Dynamical Triangulations without
Preferred Foliation
|
44 pages, 29 figures
| null |
10.1103/PhysRevD.88.044055
| null |
hep-th gr-qc hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a detailed analysis of a recently introduced version of Causal
Dynamical Triangulations (CDT) that does not rely on a distinguished time
slicing. Focussing on the case of 2+1 spacetime dimensions, we analyze its
geometric and causal properties, present details of the numerical set-up and
explain how to extract "volume profiles". Extensive Monte Carlo measurements of
the system show the emergence of a de Sitter universe on large scales from the
underlying quantum ensemble, similar to what was observed previously in
standard CDT quantum gravity. This provides evidence that the distinguished
time slicing of the latter is not an essential part of its kinematical set-up.
|
[
{
"created": "Sat, 20 Jul 2013 22:05:55 GMT",
"version": "v1"
}
] |
2013-09-04
|
[
[
"Jordan",
"S.",
""
],
[
"Loll",
"R.",
""
]
] |
We present a detailed analysis of a recently introduced version of Causal Dynamical Triangulations (CDT) that does not rely on a distinguished time slicing. Focussing on the case of 2+1 spacetime dimensions, we analyze its geometric and causal properties, present details of the numerical set-up and explain how to extract "volume profiles". Extensive Monte Carlo measurements of the system show the emergence of a de Sitter universe on large scales from the underlying quantum ensemble, similar to what was observed previously in standard CDT quantum gravity. This provides evidence that the distinguished time slicing of the latter is not an essential part of its kinematical set-up.
| 8.295994
| 9.230689
| 8.462385
| 7.601132
| 8.707939
| 7.789442
| 8.046138
| 8.008773
| 8.425598
| 8.736426
| 7.953118
| 7.619173
| 7.663157
| 7.730455
| 7.704151
| 7.570953
| 7.720617
| 7.505975
| 7.586729
| 7.714277
| 7.514984
|
1403.2501
|
Razieh Morad
|
M. R. Pahlavani and R. Morad
|
Application of AdS/CFT in Nuclear Physics
|
Advances in High Energy Physics, (2014). arXiv admin note: text
overlap with arXiv:0909.4782, arXiv:0711.4467, arXiv:0901.2534 by other
authors
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review some recent progress in studying the nuclear physics especially
nucleon-nucleon (NN) force within the gauge-gravity duality, in context of
noncritical string theory. Our main focus is on the holographic QCD model based
on the $AdS_6$ background. We explain the noncritical holography model and
obtain the vector-meson spectrum and pion decay constant. Also, we study the NN
interaction in this frame and calculate the nucleon-meson coupling constants. A
further topic covered is a toy model for calculating the light nuclei
potential. In particular, we calculate the light nuclei binding energies and
also excited energies of some available excited states. We compare our results
with the results of other nuclear models and also with the experimental data.
Moreover, we describe some other issues which are studied using the
gauge-gravity duality.
|
[
{
"created": "Tue, 11 Mar 2014 08:45:38 GMT",
"version": "v1"
}
] |
2014-03-12
|
[
[
"Pahlavani",
"M. R.",
""
],
[
"Morad",
"R.",
""
]
] |
We review some recent progress in studying the nuclear physics especially nucleon-nucleon (NN) force within the gauge-gravity duality, in context of noncritical string theory. Our main focus is on the holographic QCD model based on the $AdS_6$ background. We explain the noncritical holography model and obtain the vector-meson spectrum and pion decay constant. Also, we study the NN interaction in this frame and calculate the nucleon-meson coupling constants. A further topic covered is a toy model for calculating the light nuclei potential. In particular, we calculate the light nuclei binding energies and also excited energies of some available excited states. We compare our results with the results of other nuclear models and also with the experimental data. Moreover, we describe some other issues which are studied using the gauge-gravity duality.
| 9.773821
| 10.063755
| 9.633615
| 9.35241
| 9.09577
| 9.072548
| 8.942579
| 9.434254
| 9.319775
| 10.819769
| 8.944924
| 8.965629
| 9.552317
| 9.096045
| 8.934819
| 9.145804
| 8.936658
| 8.71638
| 9.125661
| 9.287102
| 8.907185
|
1901.05075
|
George Leontaris
|
Ignatios Antoniadis, Yifan Chen, George K. Leontaris
|
Moduli Stabilization and Inflation in Type IIB/F-theory
|
18 pages, prepared for the Corfu2018 Proceedings, based on
arXiv:1803.08941 and arXiv:1810.05060
| null | null | null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the first part of this talk, a short overview of the ongoing debate on the
existence of de Sitter vacua in string theory is presented. In the second part,
the moduli stabilisation and inflation are discussed in the context of type
IIB/F-theory. Considering a configuration of three intersecting $D7$ branes
with fluxes, it is shown that higher loop effects inducing logarithmic
corrections to the K\"ahler potential can stabilise the K\"ahler moduli in a de
Sitter Vacuum. When a new Fayet-Iliopoulos term is included, it is also
possible to generate the required number of e-foldings and satisfy the
conditions for slow-roll inflation.
|
[
{
"created": "Tue, 15 Jan 2019 22:23:32 GMT",
"version": "v1"
}
] |
2019-01-18
|
[
[
"Antoniadis",
"Ignatios",
""
],
[
"Chen",
"Yifan",
""
],
[
"Leontaris",
"George K.",
""
]
] |
In the first part of this talk, a short overview of the ongoing debate on the existence of de Sitter vacua in string theory is presented. In the second part, the moduli stabilisation and inflation are discussed in the context of type IIB/F-theory. Considering a configuration of three intersecting $D7$ branes with fluxes, it is shown that higher loop effects inducing logarithmic corrections to the K\"ahler potential can stabilise the K\"ahler moduli in a de Sitter Vacuum. When a new Fayet-Iliopoulos term is included, it is also possible to generate the required number of e-foldings and satisfy the conditions for slow-roll inflation.
| 5.85098
| 5.671226
| 6.10682
| 5.828684
| 6.09086
| 5.929173
| 5.88293
| 5.720185
| 5.546575
| 6.127249
| 5.534966
| 5.559983
| 5.679955
| 5.658317
| 5.497018
| 5.585938
| 5.701721
| 5.534713
| 5.675509
| 5.725436
| 5.507378
|
1110.5628
|
Mikhail Alfimov Mr
|
M. N. Alfimov and G. M. Tarnopolsky
|
Parafermionic Liouville field theory and instantons on ALE spaces
|
21 pages, 6 figures, misprints corrected, references added, version
to appear in JHEP
|
JHEP 1202, 036 (2012)
|
10.1007/JHEP02(2012)036
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we study the correspondence between the
$\hat{\textrm{su}}(n)_{k}\oplus
\hat{\textrm{su}}(n)_{p}/\hat{\textrm{su}}(n)_{k+p}$ coset conformal field
theories and $\mathcal{N}=2$ SU(n) gauge theories on
$\mathbb{R}^{4}/\mathbb{Z}_{p}$. Namely we check the correspondence between the
SU(2) Nekrasov partition function on $\mathbb{R}^{4}/\mathbb{Z}_{4}$ and the
conformal blocks of the $S_{3}$ parafermion algebra (in $S$ and $D$ modules).
We find that they are equal up to the U(1)-factor as it was in all cases of
AGT-like relations. Studying the structure of the instanton partition function
on $\mathbb{R}^4/\mathbb{Z}_p$ we also find some evidence that this
correspondence with arbitrary $p$ takes place up to the U(1)-factor.
|
[
{
"created": "Tue, 25 Oct 2011 19:56:30 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Nov 2011 20:00:30 GMT",
"version": "v2"
},
{
"created": "Sun, 19 Feb 2012 10:50:22 GMT",
"version": "v3"
}
] |
2013-04-04
|
[
[
"Alfimov",
"M. N.",
""
],
[
"Tarnopolsky",
"G. M.",
""
]
] |
In this paper we study the correspondence between the $\hat{\textrm{su}}(n)_{k}\oplus \hat{\textrm{su}}(n)_{p}/\hat{\textrm{su}}(n)_{k+p}$ coset conformal field theories and $\mathcal{N}=2$ SU(n) gauge theories on $\mathbb{R}^{4}/\mathbb{Z}_{p}$. Namely we check the correspondence between the SU(2) Nekrasov partition function on $\mathbb{R}^{4}/\mathbb{Z}_{4}$ and the conformal blocks of the $S_{3}$ parafermion algebra (in $S$ and $D$ modules). We find that they are equal up to the U(1)-factor as it was in all cases of AGT-like relations. Studying the structure of the instanton partition function on $\mathbb{R}^4/\mathbb{Z}_p$ we also find some evidence that this correspondence with arbitrary $p$ takes place up to the U(1)-factor.
| 4.70278
| 4.466406
| 5.392327
| 4.299398
| 4.474258
| 4.467471
| 4.483924
| 4.285047
| 4.418849
| 5.848083
| 4.50409
| 4.250657
| 4.871851
| 4.365371
| 4.62181
| 4.561633
| 4.575489
| 4.4438
| 4.392283
| 4.899969
| 4.330532
|
2012.08486
|
Hanno Bertle
|
Hanno Bertle, Andrea Dei and Matthias R. Gaberdiel
|
Stress-energy tensor correlators from the world-sheet
|
16+9 pages
| null |
10.1007/JHEP03(2021)036
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The large $N$ limit of symmetric orbifold theories was recently argued to
have an AdS/CFT dual world-sheet description in terms of an
$\mathfrak{sl}(2,\mathbb{R})$ WZW model. In previous work the world-sheet state
corresponding to the symmetric orbifold stress-energy tensor was identified. We
calculate certain 2- and 3-point functions of the corresponding vertex operator
on the world-sheet, and demonstrate that these amplitudes reproduce exactly
what one expects from the dual symmetric orbifold perspective.
|
[
{
"created": "Tue, 15 Dec 2020 18:32:51 GMT",
"version": "v1"
}
] |
2021-03-17
|
[
[
"Bertle",
"Hanno",
""
],
[
"Dei",
"Andrea",
""
],
[
"Gaberdiel",
"Matthias R.",
""
]
] |
The large $N$ limit of symmetric orbifold theories was recently argued to have an AdS/CFT dual world-sheet description in terms of an $\mathfrak{sl}(2,\mathbb{R})$ WZW model. In previous work the world-sheet state corresponding to the symmetric orbifold stress-energy tensor was identified. We calculate certain 2- and 3-point functions of the corresponding vertex operator on the world-sheet, and demonstrate that these amplitudes reproduce exactly what one expects from the dual symmetric orbifold perspective.
| 7.388761
| 6.143661
| 7.258812
| 6.183247
| 6.531439
| 6.263013
| 6.521099
| 6.08357
| 6.186704
| 8.061538
| 6.100892
| 7.004529
| 7.325995
| 7.099401
| 7.140957
| 7.086399
| 6.945003
| 7.154782
| 6.775568
| 7.590278
| 6.94999
|
hep-th/9507114
|
Klaus Rothe
|
E. Abdalla and K.D. Rothe
|
BRST Cohomology and Vacuum Structure of Two-Dimensional Chromodynamics
|
14 pages, LaTeX
|
Phys.Lett. B363 (1995) 85-92
|
10.1016/0370-2693(95)01193-T
|
HD-THEP-95-34
|
hep-th
| null |
Using a formulation of QCD_2 as a perturbed conformally invariant theory
involving fermions, ghosts, as well as positive and negative level
Wess-Zumino-Witten fields, we show that the BRST conditions become restrictions
on the conformally invariant sector, as described by a G/G topological theory.
By solving the corresponding cohomology problem we are led to a finite set of
vacua. For G=SU(2) these vacua are two-fold degenerate.
|
[
{
"created": "Fri, 21 Jul 1995 15:10:46 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Abdalla",
"E.",
""
],
[
"Rothe",
"K. D.",
""
]
] |
Using a formulation of QCD_2 as a perturbed conformally invariant theory involving fermions, ghosts, as well as positive and negative level Wess-Zumino-Witten fields, we show that the BRST conditions become restrictions on the conformally invariant sector, as described by a G/G topological theory. By solving the corresponding cohomology problem we are led to a finite set of vacua. For G=SU(2) these vacua are two-fold degenerate.
| 12.514747
| 10.159648
| 12.745629
| 9.74577
| 11.032875
| 11.260205
| 10.26093
| 11.080047
| 9.997109
| 12.27094
| 10.546474
| 10.750303
| 11.847013
| 11.042419
| 11.166397
| 11.363043
| 10.875347
| 10.909432
| 10.560622
| 12.915597
| 10.927877
|
hep-th/9803148
|
David Tong
|
David Tong
|
Three-Dimensional Gauge Theories and ADE Monopoles
|
Latex. 6 pages
|
Phys.Lett. B448 (1999) 33-36
|
10.1016/S0370-2693(98)01583-4
| null |
hep-th
| null |
We study three-dimensional N=4 gauge theories with product gauge groups
constructed from ADE Dynkin diagrams. One-loop corrections to the metric on the
Coulomb branch are shown to coincide with the metric on the moduli space of
well-seperated ADE monopoles. We propose that this correspondence is exact.
|
[
{
"created": "Wed, 18 Mar 1998 16:13:27 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Tong",
"David",
""
]
] |
We study three-dimensional N=4 gauge theories with product gauge groups constructed from ADE Dynkin diagrams. One-loop corrections to the metric on the Coulomb branch are shown to coincide with the metric on the moduli space of well-seperated ADE monopoles. We propose that this correspondence is exact.
| 6.894667
| 5.364837
| 9.630874
| 5.298805
| 5.326779
| 5.445994
| 5.083303
| 5.675267
| 5.958385
| 9.459333
| 5.840178
| 6.332342
| 8.162007
| 6.700774
| 6.24263
| 6.020752
| 5.995627
| 6.212355
| 6.427698
| 7.543072
| 6.257957
|
hep-th/9509118
|
Rainer Dick
|
Rainer Dick
|
Self-trapping of the dilaton
|
6 pages, LaTex
|
Phys.Lett. B380 (1996) 29-32
|
10.1016/0370-2693(96)00485-6
|
IASSNS-HEP-95/73
|
hep-th
| null |
The dilaton in three dimensions does not roll. Witten's conjecture that
duality between theories in three and four dimensions solves the cosmological
constant problem thus may also solve the dilaton problem in string theory.
|
[
{
"created": "Fri, 22 Sep 1995 01:06:16 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Dick",
"Rainer",
""
]
] |
The dilaton in three dimensions does not roll. Witten's conjecture that duality between theories in three and four dimensions solves the cosmological constant problem thus may also solve the dilaton problem in string theory.
| 20.612202
| 15.376844
| 13.955476
| 15.923944
| 14.700902
| 15.908568
| 17.666641
| 16.864906
| 16.433987
| 18.152542
| 16.45919
| 15.428954
| 16.978533
| 16.560221
| 15.964943
| 15.349752
| 16.210865
| 15.635753
| 16.928583
| 16.956898
| 15.482673
|
hep-th/9910029
|
Andrey A. Slavnov
|
A.A.Slavnov
|
Covariant formulation of non-Abelian gauge theories without
anticommuting variables
|
8 pages, Latex
|
Phys.Lett. B469 (1999) 155-160
|
10.1016/S0370-2693(99)01253-8
|
MIAN-99-10
|
hep-th
| null |
A manifestly Lorentz invariant effective action for Yang-Mills theory
depending only on commuting fields is constructed. This action posesses a
bosonic symmetry, which plays a role analogous to the BRST symmetry in the
standard formalism.
|
[
{
"created": "Mon, 4 Oct 1999 14:43:31 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Slavnov",
"A. A.",
""
]
] |
A manifestly Lorentz invariant effective action for Yang-Mills theory depending only on commuting fields is constructed. This action posesses a bosonic symmetry, which plays a role analogous to the BRST symmetry in the standard formalism.
| 11.39437
| 9.352367
| 10.134374
| 9.8158
| 9.62678
| 9.411339
| 9.286386
| 8.567817
| 9.785649
| 9.868091
| 9.488496
| 9.506001
| 9.866816
| 9.565636
| 9.356321
| 9.456278
| 9.248248
| 9.674047
| 9.418163
| 9.75639
| 9.462396
|
hep-th/0010156
|
Stoycho Jazadjiev
|
Stoytcho Yazadjiev (Sofia University)
|
Exact inhomogeneous Einstein-Maxwell-Dilaton cosmologies
|
10 pages, latex; v2: English corrected, new comments and reference
added in section 1, acknowledgments added; v3: final version to be published
in Phys. Rev. D
|
Phys.Rev. D63 (2001) 063510
|
10.1103/PhysRevD.63.063510
| null |
hep-th gr-qc
| null |
We present solution generating techniques which permit to construct exact
inhomogeneous and anisotropic cosmological solutions to a four-dimensional low
energy limit of string theory containing non-minimally interacting
electromagnetic and dilaton fields. Some explicit homogeneous and inhomogeneous
cosmological solutions are constructed. For example, inhomogeneous exact
solutions presenting Gowdy - type EMD universe are obtained. The asymptotic
behaviour of the solutions is investigated. The asymptotic form of the metric
near the initial singularity has a spatially varying Kasner form. The character
of the space-time singularities is discussed. The late evolution of the
solutions is described by a background homogeneous and anisotropic universe
filled with weakly interacting gravitational, dilatonic and electromagnetic
waves.
|
[
{
"created": "Wed, 18 Oct 2000 19:16:43 GMT",
"version": "v1"
},
{
"created": "Sun, 12 Nov 2000 08:10:21 GMT",
"version": "v2"
},
{
"created": "Tue, 9 Jan 2001 20:00:32 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Yazadjiev",
"Stoytcho",
"",
"Sofia University"
]
] |
We present solution generating techniques which permit to construct exact inhomogeneous and anisotropic cosmological solutions to a four-dimensional low energy limit of string theory containing non-minimally interacting electromagnetic and dilaton fields. Some explicit homogeneous and inhomogeneous cosmological solutions are constructed. For example, inhomogeneous exact solutions presenting Gowdy - type EMD universe are obtained. The asymptotic behaviour of the solutions is investigated. The asymptotic form of the metric near the initial singularity has a spatially varying Kasner form. The character of the space-time singularities is discussed. The late evolution of the solutions is described by a background homogeneous and anisotropic universe filled with weakly interacting gravitational, dilatonic and electromagnetic waves.
| 10.44034
| 11.006263
| 9.99904
| 8.8239
| 9.853557
| 9.623416
| 9.652224
| 8.503614
| 9.46538
| 9.82916
| 9.344831
| 9.608351
| 9.60833
| 9.630216
| 9.761338
| 9.425447
| 9.587019
| 9.558161
| 9.760715
| 9.572688
| 9.15882
|
hep-th/0104147
|
Albion Lawrence
|
Paul S. Aspinwall, Albion Lawrence
|
Derived Categories and Zero-Brane Stability
|
24 pages, no figures, LaTeX2e. (v2) Added references, fixed typos,
small changes, esp. in discussions of D0-brane stability. (v3) Explanatory
comments added, corrected discussion of birational invariance of derived
category
|
JHEP 0108:004,2001
|
10.1088/1126-6708/2001/08/004
|
DUKE-CGTP-01-07, SLAC-PUB-8812, SU-ITP-01/18
|
hep-th math.AG
| null |
We define a particular class of topological field theories associated to open
strings and prove the resulting D-branes and open strings form the bounded
derived category of coherent sheaves. This derivation is a variant of some
ideas proposed recently by Douglas. We then argue that any 0-brane on any
Calabi-Yau threefold must become unstable along some path in the Kahler moduli
space. As a byproduct of this analysis we see how the derived category can be
invariant under a birational transformation between Calabi-Yaus.
|
[
{
"created": "Tue, 17 Apr 2001 19:52:42 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Apr 2001 23:46:51 GMT",
"version": "v2"
},
{
"created": "Thu, 26 Jul 2001 21:08:50 GMT",
"version": "v3"
}
] |
2010-02-03
|
[
[
"Aspinwall",
"Paul S.",
""
],
[
"Lawrence",
"Albion",
""
]
] |
We define a particular class of topological field theories associated to open strings and prove the resulting D-branes and open strings form the bounded derived category of coherent sheaves. This derivation is a variant of some ideas proposed recently by Douglas. We then argue that any 0-brane on any Calabi-Yau threefold must become unstable along some path in the Kahler moduli space. As a byproduct of this analysis we see how the derived category can be invariant under a birational transformation between Calabi-Yaus.
| 11.478834
| 9.739948
| 13.353163
| 10.347639
| 11.315781
| 11.347522
| 10.174451
| 10.760282
| 10.184791
| 18.243416
| 11.288834
| 10.889575
| 12.78849
| 10.725335
| 11.160885
| 10.996152
| 11.368659
| 10.630346
| 10.881001
| 12.300662
| 11.076939
|
hep-th/9403110
| null |
Daniel Arnaudon
|
On Automorphisms and Universal R-Matrices at Roots of Unity
|
11 pages, minor TeXnical revision to allow automatic TeXing
|
Lett.Math.Phys. 33 (1995) 39-48
|
10.1007/BF00750810
|
ENSLAPP-A-461/94
|
hep-th math.QA
| null |
Invertible universal R-matrices of quantum Lie algebras do not exist at roots
of unity. There exist however quotients for which intertwiners of tensor
products of representations always exist, i.e. R-matrices exist in the
representations. One of these quotients, which is finite dimensional, has a
universal R-matrix. In this paper, we answer the following question: on which
condition are the different quotients of U_q(sl(2)) (Hopf)-equivalent? In the
case when they are equivalent, the universal R-matrix of one can be transformed
into a universal R-matrix of the other. We prove that this happens only when
q^4=1, and we explicitly give the expressions for the automorphisms and for the
transformed universal R-matrices in this case.
|
[
{
"created": "Fri, 18 Mar 1994 18:13:26 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Arnaudon",
"Daniel",
""
]
] |
Invertible universal R-matrices of quantum Lie algebras do not exist at roots of unity. There exist however quotients for which intertwiners of tensor products of representations always exist, i.e. R-matrices exist in the representations. One of these quotients, which is finite dimensional, has a universal R-matrix. In this paper, we answer the following question: on which condition are the different quotients of U_q(sl(2)) (Hopf)-equivalent? In the case when they are equivalent, the universal R-matrix of one can be transformed into a universal R-matrix of the other. We prove that this happens only when q^4=1, and we explicitly give the expressions for the automorphisms and for the transformed universal R-matrices in this case.
| 7.911949
| 7.511344
| 8.411917
| 7.571545
| 8.288165
| 8.597624
| 8.253172
| 8.369353
| 8.269729
| 8.871828
| 7.806561
| 7.835097
| 7.711735
| 7.660533
| 7.880792
| 7.806424
| 7.808691
| 7.659793
| 7.754387
| 7.373782
| 7.612636
|
hep-th/9205059
|
Ivan Kostov
|
V. Kazakov and I. Kostov
|
Loop Gas Model for Open Strings
| null |
Nucl.Phys.B386:520-557,1992
|
10.1016/0550-3213(92)90629-P
|
SPhT/92-049
|
hep-th
| null |
The open string with one-dimensional target space is formulated in terms of
an SOS, or loop gas, model on a random surface. We solve an integral equation
for the loop amplitude with Dirichlet and Neumann boundary conditions imposed
on different pieces of its boundary. The result is used to calculate the mean
values of order and disorder operators, to construct the string propagator and
find its spectrum of excitations. The latter is not sensible neither to the
string tension $\L$ nor to the mass $\mu$ of the ``quarks'' at the ends of the
string. As in the case of closed strings, the SOS formulation allows to
construct a Feynman diagram technique for the string interaction amplitudes.
|
[
{
"created": "Mon, 18 May 1992 14:51:28 GMT",
"version": "v1"
}
] |
2010-11-01
|
[
[
"Kazakov",
"V.",
""
],
[
"Kostov",
"I.",
""
]
] |
The open string with one-dimensional target space is formulated in terms of an SOS, or loop gas, model on a random surface. We solve an integral equation for the loop amplitude with Dirichlet and Neumann boundary conditions imposed on different pieces of its boundary. The result is used to calculate the mean values of order and disorder operators, to construct the string propagator and find its spectrum of excitations. The latter is not sensible neither to the string tension $\L$ nor to the mass $\mu$ of the ``quarks'' at the ends of the string. As in the case of closed strings, the SOS formulation allows to construct a Feynman diagram technique for the string interaction amplitudes.
| 11.49122
| 9.576079
| 11.57776
| 9.831578
| 10.754605
| 10.393296
| 10.165496
| 10.117134
| 10.204419
| 12.130064
| 10.124429
| 10.248441
| 11.083043
| 10.473463
| 10.281691
| 10.591618
| 10.486772
| 10.587045
| 10.409934
| 11.225576
| 10.273501
|
1905.07735
|
Q. H. Liu
|
Q. H. Liu, Z. Li, X. Y. Zhou, Z. Q. Yang, W. K. Du
|
General covariant geometric momentum, gauge potential and a Dirac
fermion on a two-dimensional sphere
|
8 pages, no figure. Presentation improved
| null |
10.1140/epjc/s10052-019-7231-4
| null |
hep-th cond-mat.mes-hall math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
For a particle that is constrained on an ($N-1$)-dimensional ($N\geq2$)
curved surface, the Cartesian components of its momentum in $N$-dimensional
flat space is believed to offer a proper form of momentum for the particle on
the surface, which is called the geometric momentum as it depends on the mean
curvature. Once the momentum is made general covariance, the spin connection
part can be interpreted as a gauge potential. The present study consists in two
parts, the first is a discussion of the general framework for the general
covariant geometric momentum. The second is devoted to a study of a Dirac
fermion on a two-dimensional sphere and we show that there is the generalized
total angular momentum whose three cartesian components form the $su(2)$
algebra, obtained before by consideration of dynamics of the particle, and we
demonstrate that there is no curvature-induced geometric potential for the
fermion.
|
[
{
"created": "Sun, 19 May 2019 13:02:19 GMT",
"version": "v1"
},
{
"created": "Sun, 26 May 2019 09:34:43 GMT",
"version": "v2"
},
{
"created": "Tue, 2 Jul 2019 12:53:15 GMT",
"version": "v3"
}
] |
2019-10-02
|
[
[
"Liu",
"Q. H.",
""
],
[
"Li",
"Z.",
""
],
[
"Zhou",
"X. Y.",
""
],
[
"Yang",
"Z. Q.",
""
],
[
"Du",
"W. K.",
""
]
] |
For a particle that is constrained on an ($N-1$)-dimensional ($N\geq2$) curved surface, the Cartesian components of its momentum in $N$-dimensional flat space is believed to offer a proper form of momentum for the particle on the surface, which is called the geometric momentum as it depends on the mean curvature. Once the momentum is made general covariance, the spin connection part can be interpreted as a gauge potential. The present study consists in two parts, the first is a discussion of the general framework for the general covariant geometric momentum. The second is devoted to a study of a Dirac fermion on a two-dimensional sphere and we show that there is the generalized total angular momentum whose three cartesian components form the $su(2)$ algebra, obtained before by consideration of dynamics of the particle, and we demonstrate that there is no curvature-induced geometric potential for the fermion.
| 12.316424
| 12.736944
| 12.57029
| 11.755407
| 12.168665
| 12.116301
| 12.536965
| 12.552824
| 12.356605
| 12.576591
| 12.241847
| 11.792078
| 11.766183
| 11.529738
| 11.732819
| 11.645336
| 11.861426
| 11.359051
| 11.923129
| 11.967743
| 11.54215
|
hep-th/9801206
|
Renata Kallosh
|
P. Claus, R. Kallosh, J. Kumar, P.K. Townsend and A. Van Proeyen
|
Conformal Theory of M2, D3, M5 and `D1+D5' Branes
|
32 pages, two figures, Latex. A version to appear in JHEP. A comment
is added on infinite dimensional Kac-Moody type symmetry of D1+D5 system
observed by Brandt, Gomis, Sim'on
|
JHEP 9806 (1998) 004
|
10.1088/1126-6708/1998/06/004
|
SU-ITP-98/02, KUL-TF-98/08
|
hep-th
| null |
The bosonic actions for M2, D3 and M5 branes in their own d-dimensional
near-horizon background are given in a manifestly SO(p+1,2) x SO(d-p-1)
invariant form (p=2,3,5). These symmetries result from a breakdown of ISO(d,2)
(with d=10 for D3 and d=11 for M2 and M5) symmetry by the Wess-Zumino term and
constraints. The new brane actions, reduce after gauge-fixing and solving
constraints to (p+1) dimensional interacting field theories with a non-linearly
realized SO(p+1,2) conformal invariance. We also present an interacting
two-dimensional conformal field theory on a D-string in the near-horizon
geometry of a D1+D5 configuration.
|
[
{
"created": "Fri, 30 Jan 1998 21:50:59 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Apr 1998 19:31:47 GMT",
"version": "v2"
},
{
"created": "Tue, 9 Jun 1998 18:48:06 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Claus",
"P.",
""
],
[
"Kallosh",
"R.",
""
],
[
"Kumar",
"J.",
""
],
[
"Townsend",
"P. K.",
""
],
[
"Van Proeyen",
"A.",
""
]
] |
The bosonic actions for M2, D3 and M5 branes in their own d-dimensional near-horizon background are given in a manifestly SO(p+1,2) x SO(d-p-1) invariant form (p=2,3,5). These symmetries result from a breakdown of ISO(d,2) (with d=10 for D3 and d=11 for M2 and M5) symmetry by the Wess-Zumino term and constraints. The new brane actions, reduce after gauge-fixing and solving constraints to (p+1) dimensional interacting field theories with a non-linearly realized SO(p+1,2) conformal invariance. We also present an interacting two-dimensional conformal field theory on a D-string in the near-horizon geometry of a D1+D5 configuration.
| 7.418708
| 7.647411
| 7.731251
| 6.952987
| 7.195847
| 7.198228
| 7.13671
| 6.946943
| 7.215554
| 8.469215
| 7.021175
| 7.448396
| 7.892681
| 7.369342
| 7.430361
| 7.358277
| 7.480991
| 7.405447
| 7.115368
| 7.568982
| 7.211701
|
hep-th/0205146
|
M. Sami
|
M. Sami (Jamia Millia Islamia, New Delhi, INDIA.)
|
Implementing Power Law Inflation with Tachyon Rolling on the Brane
|
RevTeX, 4 pages, New references added
|
Mod.Phys.Lett.A18:691,2003
|
10.1142/S021773230300968X
|
IUCAA-21/2002
|
hep-th gr-qc
| null |
We study a minimally coupled tachyon field rolling down to its ground state
on the FRW brane. We construct tacyonic potential which can implements power
law inflation in the brane world cosmology. The potential turns out to be ${V_0
\phi^{-1}}$ on the brane and reduces to inverse square potential at late times
when brane corrections to the Friedmann equation become negligible. We also do
similar exercise with a normal scalar field and discover that the inverse
square potential on the brane leads to power law inflation.
|
[
{
"created": "Wed, 15 May 2002 11:17:50 GMT",
"version": "v1"
},
{
"created": "Fri, 31 May 2002 07:32:29 GMT",
"version": "v2"
},
{
"created": "Tue, 9 Jul 2002 11:38:24 GMT",
"version": "v3"
}
] |
2009-03-19
|
[
[
"Sami",
"M.",
"",
"Jamia Millia Islamia, New Delhi, INDIA."
]
] |
We study a minimally coupled tachyon field rolling down to its ground state on the FRW brane. We construct tacyonic potential which can implements power law inflation in the brane world cosmology. The potential turns out to be ${V_0 \phi^{-1}}$ on the brane and reduces to inverse square potential at late times when brane corrections to the Friedmann equation become negligible. We also do similar exercise with a normal scalar field and discover that the inverse square potential on the brane leads to power law inflation.
| 12.90056
| 11.69451
| 10.580282
| 9.963432
| 11.95548
| 11.026034
| 12.005787
| 12.076285
| 11.018713
| 13.103383
| 12.095874
| 11.450633
| 11.444023
| 11.277707
| 11.927124
| 12.082048
| 11.936457
| 11.603908
| 11.321804
| 11.261949
| 11.708728
|
hep-th/9309087
| null |
M.B. Halpern
|
Recent Progress in Irrational Conformal Field Theory
|
16 pages, Latex, UCB-PTH-93/25, LBL-34610, talk presented at the
conference "Strings 1993", Berkeley, May 23-29
| null | null | null |
hep-th
| null |
In this talk, I will review the foundations of irrational conformal field
theory (ICFT), which includes rational conformal field theory as a small
subspace. Highlights of the review include the Virasoro master equation, the
Ward identities for the correlators of ICFT and solutions of the Ward
identities. In particular, I will discuss the solutions for the correlators of
the $g/h$ coset constructions and the correlators of the affine-Sugawara nests
on $g\supset h_1 \supset \ldots \supset h_n$. Finally, I will discuss the
recent global solution for the correlators of all the ICFT's in the master
equation.
|
[
{
"created": "Thu, 16 Sep 1993 03:47:57 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Halpern",
"M. B.",
""
]
] |
In this talk, I will review the foundations of irrational conformal field theory (ICFT), which includes rational conformal field theory as a small subspace. Highlights of the review include the Virasoro master equation, the Ward identities for the correlators of ICFT and solutions of the Ward identities. In particular, I will discuss the solutions for the correlators of the $g/h$ coset constructions and the correlators of the affine-Sugawara nests on $g\supset h_1 \supset \ldots \supset h_n$. Finally, I will discuss the recent global solution for the correlators of all the ICFT's in the master equation.
| 7.169588
| 6.702784
| 9.462565
| 7.139409
| 6.485998
| 6.756764
| 6.580699
| 6.261717
| 6.797891
| 8.927198
| 7.138978
| 7.149473
| 7.413979
| 6.818625
| 6.780818
| 6.844661
| 6.965698
| 6.826826
| 6.712129
| 7.121512
| 6.900252
|
1107.0870
|
Slava Mukhanov
|
Gia Dvali, Cesar Gomez and Slava Mukhanov
|
Classical Dimensional Transmutation and Confinement
| null | null |
10.1007/JHEP12(2011)103
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We observe that probing certain classical field theories by external sources
uncovers the underlying renormalization group structure, including the
phenomenon of dimensional transmutation, at purely-classical level. We perform
this study on an example of $\lambda\phi^{4}$ theory and unravel asymptotic
freedom and triviality for negative and positives signs of $\lambda$
respectively. We derive exact classical $\beta$ function equation. Solving this
equation we find that an isolated source has an infinite energy and therefore
cannot exist as an asymptotic state. On the other hand a dipole, built out of
two opposite charges, has finite positive energy. At large separation the
interaction potential between these two charges grows indefinitely as a
distance in power one third.
|
[
{
"created": "Tue, 5 Jul 2011 13:30:56 GMT",
"version": "v1"
}
] |
2015-05-28
|
[
[
"Dvali",
"Gia",
""
],
[
"Gomez",
"Cesar",
""
],
[
"Mukhanov",
"Slava",
""
]
] |
We observe that probing certain classical field theories by external sources uncovers the underlying renormalization group structure, including the phenomenon of dimensional transmutation, at purely-classical level. We perform this study on an example of $\lambda\phi^{4}$ theory and unravel asymptotic freedom and triviality for negative and positives signs of $\lambda$ respectively. We derive exact classical $\beta$ function equation. Solving this equation we find that an isolated source has an infinite energy and therefore cannot exist as an asymptotic state. On the other hand a dipole, built out of two opposite charges, has finite positive energy. At large separation the interaction potential between these two charges grows indefinitely as a distance in power one third.
| 16.588087
| 16.618088
| 17.477327
| 15.513053
| 17.477419
| 17.343779
| 16.392677
| 16.841837
| 15.999078
| 18.893452
| 16.583334
| 16.07131
| 16.716576
| 15.890104
| 15.880965
| 15.925205
| 16.511213
| 15.580677
| 16.083208
| 16.827221
| 16.311352
|
hep-th/0505121
|
Octavio Obregon
|
O. Obregon
|
Non-Abelian Born-Infeld theory without the square root
|
9 pages, no figures, revtex4
|
Mod.Phys.Lett. A21 (2006) 1249-1256
|
10.1142/S0217732306019505
| null |
hep-th
| null |
A non-Abelian Born-Infeld theory is presented. The square root structure that
characterizes the Dirac-Born-Infeld (DBI) action does not appear. The procedure
is based on an Abelian theory proposed by Erwin Schr\"{o}dinger that, as he
showed, is equivalent to Born-Infeld theory. We briefly mention other possible
similar proposals. Our results could be of interest in connection with string
theory and possible extensions of well known physical results in the usual
Born-Infeld Abelian case.
|
[
{
"created": "Fri, 13 May 2005 18:51:25 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Obregon",
"O.",
""
]
] |
A non-Abelian Born-Infeld theory is presented. The square root structure that characterizes the Dirac-Born-Infeld (DBI) action does not appear. The procedure is based on an Abelian theory proposed by Erwin Schr\"{o}dinger that, as he showed, is equivalent to Born-Infeld theory. We briefly mention other possible similar proposals. Our results could be of interest in connection with string theory and possible extensions of well known physical results in the usual Born-Infeld Abelian case.
| 11.007357
| 10.370568
| 9.524908
| 9.449656
| 10.414075
| 9.599567
| 9.810598
| 9.67896
| 10.209831
| 10.367046
| 9.77115
| 9.15098
| 9.557144
| 9.430388
| 9.457141
| 9.416715
| 9.938184
| 9.622801
| 9.320736
| 9.566986
| 9.648549
|
hep-th/9409149
| null |
Daniel I. Fivel
|
Proof of the Impossibility of Non-Contextual Hidden Variables in All
Hilbert Space Dimensions
|
Latex, 6pages, 12.5K
| null | null | null |
hep-th
| null |
It is shown that the algebraic structure of finite Heisenberg groups
associated with the tensor product of two Hilbert spaces leads to a simple
demonstration valid in all Hilbert space dimensions of the impossibility of
non-contextual hidden variables.
|
[
{
"created": "Sun, 25 Sep 1994 20:11:24 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Fivel",
"Daniel I.",
""
]
] |
It is shown that the algebraic structure of finite Heisenberg groups associated with the tensor product of two Hilbert spaces leads to a simple demonstration valid in all Hilbert space dimensions of the impossibility of non-contextual hidden variables.
| 12.093497
| 12.984298
| 10.950816
| 11.937063
| 12.180452
| 12.091076
| 11.745952
| 11.584602
| 10.471429
| 12.493333
| 10.410761
| 10.221964
| 11.129389
| 10.60988
| 11.094903
| 10.559612
| 11.295984
| 11.163991
| 10.663735
| 10.895531
| 10.834903
|
2312.10138
|
Romain Ruzziconi
|
Lionel Mason, Romain Ruzziconi, Akshay Yelleshpur Srikant
|
Carrollian Amplitudes and Celestial Symmetries
|
59 pages, 1 figure
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Carrollian holography aims to express gravity in four-dimensional
asymptotically flat spacetime in terms of a dual three-dimensional Carrollian
CFT living at null infinity. Carrollian amplitudes are massless scattering
amplitudes written in terms of asymptotic or null data at $\mathscr I$. These
position space amplitudes at $\mathscr I$ are to be re-interpreted as
correlation functions in the putative dual Carrollian CFT. We derive basic
results concerning tree-level Carrollian amplitudes yielding dynamical
constraints on the holographic dual. We obtain surprisingly compact expressions
for $n$-point MHV gluon and graviton amplitudes in position space at $\mathscr
I$. We discuss the UV/IR behaviours of Carrollian amplitudes and investigate
their collinear limit, which allows us to define a notion of Carrollian OPE. By
smearing the OPE along the generators of null infinity, we obtain the action of
the celestial symmetries - namely, the $S$ algebra for Yang-Mills theory and
$Lw_{1+\infty}$ for gravity - on the Carrollian operators. As a consistency
check, we systematically relate our results with celestial amplitudes using the
link between the two approaches. Finally, we initiate a direct connection
between twistor space and Carrollian amplitudes.
|
[
{
"created": "Fri, 15 Dec 2023 19:00:00 GMT",
"version": "v1"
}
] |
2023-12-19
|
[
[
"Mason",
"Lionel",
""
],
[
"Ruzziconi",
"Romain",
""
],
[
"Srikant",
"Akshay Yelleshpur",
""
]
] |
Carrollian holography aims to express gravity in four-dimensional asymptotically flat spacetime in terms of a dual three-dimensional Carrollian CFT living at null infinity. Carrollian amplitudes are massless scattering amplitudes written in terms of asymptotic or null data at $\mathscr I$. These position space amplitudes at $\mathscr I$ are to be re-interpreted as correlation functions in the putative dual Carrollian CFT. We derive basic results concerning tree-level Carrollian amplitudes yielding dynamical constraints on the holographic dual. We obtain surprisingly compact expressions for $n$-point MHV gluon and graviton amplitudes in position space at $\mathscr I$. We discuss the UV/IR behaviours of Carrollian amplitudes and investigate their collinear limit, which allows us to define a notion of Carrollian OPE. By smearing the OPE along the generators of null infinity, we obtain the action of the celestial symmetries - namely, the $S$ algebra for Yang-Mills theory and $Lw_{1+\infty}$ for gravity - on the Carrollian operators. As a consistency check, we systematically relate our results with celestial amplitudes using the link between the two approaches. Finally, we initiate a direct connection between twistor space and Carrollian amplitudes.
| 9.301159
| 7.364409
| 8.772304
| 7.730398
| 7.56189
| 7.197512
| 7.21779
| 7.442716
| 7.343396
| 9.875008
| 7.354021
| 7.931228
| 8.626751
| 8.038998
| 8.148958
| 7.978754
| 7.915024
| 7.942989
| 8.088057
| 8.205796
| 8.030457
|
1908.03220
|
Igal Arav
|
Igal Arav, Yaron Oz and Avia Raviv-Moshe
|
Holomorphic Structure and Quantum Critical Points in Supersymmetric
Lifshitz Field Theories
|
54 pages, 10 figures
| null |
10.1007/JHEP11(2019)064
| null |
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct supersymmetric Lifshitz field theories with four real
supercharges in a general number of space dimensions. The theories consist of
complex bosons and fermions and exhibit a holomorphic structure and
non-renormalization properties of the superpotential. We study the theories in
a diverse number of space dimensions and for various choices of marginal
interactions. We show that there are lines of quantum critical points with an
exact Lifshitz scale invariance and a dynamical critical exponent that depends
on the coupling constants.
|
[
{
"created": "Thu, 8 Aug 2019 18:00:25 GMT",
"version": "v1"
}
] |
2019-11-19
|
[
[
"Arav",
"Igal",
""
],
[
"Oz",
"Yaron",
""
],
[
"Raviv-Moshe",
"Avia",
""
]
] |
We construct supersymmetric Lifshitz field theories with four real supercharges in a general number of space dimensions. The theories consist of complex bosons and fermions and exhibit a holomorphic structure and non-renormalization properties of the superpotential. We study the theories in a diverse number of space dimensions and for various choices of marginal interactions. We show that there are lines of quantum critical points with an exact Lifshitz scale invariance and a dynamical critical exponent that depends on the coupling constants.
| 9.729819
| 10.15709
| 10.840182
| 10.146337
| 10.184557
| 10.808094
| 9.690932
| 9.102141
| 9.390004
| 10.337534
| 8.864288
| 9.455876
| 9.76098
| 9.030352
| 9.506072
| 9.34864
| 9.485775
| 8.502659
| 9.038823
| 10.07709
| 8.808388
|
hep-th/0008148
|
Zupnik B. M.
|
J. Niederle and B. Zupnik
|
Harmonic-Superspace Transform For N=3 SYM-Equations
|
LATEX file, 7 pages
| null | null | null |
hep-th
| null |
The SU(3)/U(1) x U(1) harmonic variables are used in the harmonic-superspace
representation of the D=4, N=3 SYM-equations. The harmonic superfield equations
of motion in the simple non-covariant gauge contain the nilpotent harmonic
analytic connections. It is shown that these harmonic SYM-equations are
equivalent to the finite set of solvable linear iterative equations.
|
[
{
"created": "Fri, 18 Aug 2000 15:49:37 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Niederle",
"J.",
""
],
[
"Zupnik",
"B.",
""
]
] |
The SU(3)/U(1) x U(1) harmonic variables are used in the harmonic-superspace representation of the D=4, N=3 SYM-equations. The harmonic superfield equations of motion in the simple non-covariant gauge contain the nilpotent harmonic analytic connections. It is shown that these harmonic SYM-equations are equivalent to the finite set of solvable linear iterative equations.
| 14.342599
| 10.323524
| 14.804349
| 10.92601
| 10.529582
| 11.084229
| 11.131488
| 11.533205
| 10.192044
| 19.990957
| 10.824552
| 11.346954
| 14.125436
| 12.170307
| 12.179529
| 11.77061
| 11.282734
| 12.380004
| 11.662657
| 13.79668
| 12.077284
|
0806.0001
|
Tudor Dan Dimofte
|
Tudor Dan Dimofte
|
Type IIB Flux Vacua at Large Complex Structure
|
42 pages
|
JHEP 0809:064,2008
|
10.1088/1126-6708/2008/09/064
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study models of stabilization near large complex structure in type IIB
O3/O7 flux compactifications. We consider a special family of examples with a
single nonvanishing Yukawa coupling in the large complex structure limit, which
allows us to study all possible stable vacua of the tree-level no-scale
potential very explicitly. We find that, by tuning fluxes, both supersymmetric
and nonsupersymmetric vacua can be realized at almost any point in the large
complex structure moduli space of one-, two-, and three-parameter models. We
also consider the effects of stringy corrections on tree-level vacua. We argue
quite generally that, in certain regimes, both supersymmetric and
nonsupersymmetric tree-level vacua could serve as consistent, controllable
foundations for full stabilization beyond tree level (including Kahler moduli),
leading to either AdS or dS cosmological constants. We show how to achieve
these regimes in our models. Finally, we discuss some implications of
minimizing at tree level the no-scale form of the scalar potential, versus
other potentials used in statistical studies.
|
[
{
"created": "Mon, 2 Jun 2008 19:40:51 GMT",
"version": "v1"
},
{
"created": "Sat, 19 Jul 2008 00:08:04 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Dimofte",
"Tudor Dan",
""
]
] |
We study models of stabilization near large complex structure in type IIB O3/O7 flux compactifications. We consider a special family of examples with a single nonvanishing Yukawa coupling in the large complex structure limit, which allows us to study all possible stable vacua of the tree-level no-scale potential very explicitly. We find that, by tuning fluxes, both supersymmetric and nonsupersymmetric vacua can be realized at almost any point in the large complex structure moduli space of one-, two-, and three-parameter models. We also consider the effects of stringy corrections on tree-level vacua. We argue quite generally that, in certain regimes, both supersymmetric and nonsupersymmetric tree-level vacua could serve as consistent, controllable foundations for full stabilization beyond tree level (including Kahler moduli), leading to either AdS or dS cosmological constants. We show how to achieve these regimes in our models. Finally, we discuss some implications of minimizing at tree level the no-scale form of the scalar potential, versus other potentials used in statistical studies.
| 11.620893
| 11.455704
| 13.008674
| 11.686584
| 12.507376
| 12.429153
| 11.486349
| 12.041049
| 11.541672
| 14.259978
| 11.505997
| 11.610574
| 11.457699
| 11.30467
| 11.041785
| 11.068042
| 11.050726
| 11.322641
| 11.009257
| 12.133396
| 10.893605
|
1104.1425
|
David Simmons-Duffin
|
David Poland and David Simmons-Duffin
|
N=1 SQCD and the Transverse Field Ising Model
|
17 pages, 2 figures
|
JHEP 1202 (2012) 009
|
10.1007/JHEP02(2012)009
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the dimensions of non-chiral operators in the Veneziano limit of N=1
supersymmetric QCD in the conformal window. We show that when acting on
gauge-invariant operators built out of scalars, the 1-loop dilatation operator
is equivalent to the spin chain Hamiltonian of the 1D Ising model in a
transverse magnetic field, which is a nontrivial integrable system that is
exactly solvable at finite length. Solutions with periodic boundary conditions
give the anomalous dimensions of flavor-singlet operators and solutions with
fixed boundary conditions give the anomalous dimensions of operators whose ends
contain open flavor indices.
|
[
{
"created": "Thu, 7 Apr 2011 20:00:02 GMT",
"version": "v1"
}
] |
2015-03-19
|
[
[
"Poland",
"David",
""
],
[
"Simmons-Duffin",
"David",
""
]
] |
We study the dimensions of non-chiral operators in the Veneziano limit of N=1 supersymmetric QCD in the conformal window. We show that when acting on gauge-invariant operators built out of scalars, the 1-loop dilatation operator is equivalent to the spin chain Hamiltonian of the 1D Ising model in a transverse magnetic field, which is a nontrivial integrable system that is exactly solvable at finite length. Solutions with periodic boundary conditions give the anomalous dimensions of flavor-singlet operators and solutions with fixed boundary conditions give the anomalous dimensions of operators whose ends contain open flavor indices.
| 6.3859
| 6.684771
| 6.310935
| 5.789512
| 6.523793
| 7.224147
| 6.616933
| 5.925501
| 5.934808
| 6.411001
| 5.95048
| 6.067198
| 6.100569
| 5.721476
| 6.074407
| 5.84853
| 6.012596
| 5.973024
| 5.922028
| 6.145356
| 5.800113
|
1605.04268
|
Markos Maniatis
|
M. Maniatis and C. M. Reyes
|
Scattering amplitudes from a deconstruction of Feynman diagrams
|
7 pages, 3 figures
| null | null | null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show how to apply the BCFW recursion relation to Feynman loop integrals
with the help of the Feynman-tree theorem. We deconstruct in this way all
Feynman diagrams in terms of on-shell subamplitudes. Every cut originating from
the Feynman-tree theorem corresponds to an integration over the phase space of
an unobserved particle pair. We argue that we can calculate scattering
amplitudes alternatively by the construction of on-shell and gauge-invariant
subamplitudes.
|
[
{
"created": "Fri, 13 May 2016 17:40:34 GMT",
"version": "v1"
},
{
"created": "Tue, 17 May 2016 15:46:00 GMT",
"version": "v2"
}
] |
2016-05-18
|
[
[
"Maniatis",
"M.",
""
],
[
"Reyes",
"C. M.",
""
]
] |
We show how to apply the BCFW recursion relation to Feynman loop integrals with the help of the Feynman-tree theorem. We deconstruct in this way all Feynman diagrams in terms of on-shell subamplitudes. Every cut originating from the Feynman-tree theorem corresponds to an integration over the phase space of an unobserved particle pair. We argue that we can calculate scattering amplitudes alternatively by the construction of on-shell and gauge-invariant subamplitudes.
| 10.452447
| 10.423186
| 9.487371
| 9.786958
| 10.140395
| 9.915206
| 10.558193
| 10.967713
| 9.136662
| 10.939906
| 8.722696
| 9.622558
| 10.17563
| 9.68873
| 10.009856
| 10.012633
| 9.594408
| 9.684876
| 9.697374
| 9.722698
| 9.582061
|
2312.01909
|
Herondy Mota
|
Herondy Mota
|
Vacuum energy, temperature corrections and heat kernel coefficients in
$(D + 1)$-dimensional spacetimes with nontrivial topology
|
17 pages, 3 Figures
| null | null | null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
In this work we make use of the generalized zeta function technique to
investigate the vacuum energy, temperature corrections and heat kernel
coefficients associated with a scalar field under a quasiperiodic condition in
a $(D+1)$-dimensional conical spacetime. In this scenario we find that the
renormalized vacuum energy, as well as the temperature corrections, are both
zero. The nonzero heat kernel coefficients are the ones related to the usual
Euclidean divergence, and also to the nontrivial aspects of the
quaisperiodically identified conical spacetime topology. An interesting result
that arises in this configuration is that for some values of the quasiperiodic
parameter, the heat kernel coefficient associated with the nontrivial topology
vanishes. In addition, we also consider the scalar field in a
$(D+1)$-dimensional spacetime formed by the combination of a conical and screw
dislocation topological defects. In this case, we obtain a nonzero renormalized
vacuum energy density and its corresponding temperature corrections. Again, the
nonzero heat kernel coefficients found are the ones related to the Euclidean
and nontrivial topology divergences. For $D=3$ we explicitly show, in the
massless scalar field case, the limits of low and high temperatures for the
free energy. In the latter, we show that the free energy presents a classical
contribution.
|
[
{
"created": "Mon, 4 Dec 2023 14:16:05 GMT",
"version": "v1"
}
] |
2023-12-05
|
[
[
"Mota",
"Herondy",
""
]
] |
In this work we make use of the generalized zeta function technique to investigate the vacuum energy, temperature corrections and heat kernel coefficients associated with a scalar field under a quasiperiodic condition in a $(D+1)$-dimensional conical spacetime. In this scenario we find that the renormalized vacuum energy, as well as the temperature corrections, are both zero. The nonzero heat kernel coefficients are the ones related to the usual Euclidean divergence, and also to the nontrivial aspects of the quaisperiodically identified conical spacetime topology. An interesting result that arises in this configuration is that for some values of the quasiperiodic parameter, the heat kernel coefficient associated with the nontrivial topology vanishes. In addition, we also consider the scalar field in a $(D+1)$-dimensional spacetime formed by the combination of a conical and screw dislocation topological defects. In this case, we obtain a nonzero renormalized vacuum energy density and its corresponding temperature corrections. Again, the nonzero heat kernel coefficients found are the ones related to the Euclidean and nontrivial topology divergences. For $D=3$ we explicitly show, in the massless scalar field case, the limits of low and high temperatures for the free energy. In the latter, we show that the free energy presents a classical contribution.
| 6.339408
| 5.717338
| 6.754734
| 5.578053
| 6.079758
| 5.85774
| 6.036317
| 5.867052
| 5.519498
| 6.780621
| 5.806593
| 5.866564
| 6.290878
| 5.85977
| 5.922746
| 5.940683
| 5.851127
| 5.809378
| 5.856181
| 6.25861
| 5.813591
|
0709.2810
|
Lisa Hall
|
Carsten van de Bruck, Ki-Young Choi, Lisa M.H. Hall
|
Moduli Evolution in the Presence of Matter Fields and Flux
Compactification
|
28 pages, 32 figures, JCAP format
|
JCAP 0711:018,2007
|
10.1088/1475-7516/2007/11/018
| null |
hep-th
| null |
We provide a detailed analysis of the dynamics of moduli fields in the KKLT
scenario coupled to a Polonyi field, which plays the role of a hidden matter
sector field. It was previously shown that such matter fields can uplift AdS
vacua to Minkowski or de Sitter vacua. Additionally, we take a background fluid
into account (which can be either matter or radiation), which aids moduli
stabilisation. Our analysis shows that the presence of the matter field further
aids stabilisation, due to a new scaling regime. We study the system both
analytically and numerically.
|
[
{
"created": "Tue, 18 Sep 2007 12:25:28 GMT",
"version": "v1"
}
] |
2009-06-11
|
[
[
"van de Bruck",
"Carsten",
""
],
[
"Choi",
"Ki-Young",
""
],
[
"Hall",
"Lisa M. H.",
""
]
] |
We provide a detailed analysis of the dynamics of moduli fields in the KKLT scenario coupled to a Polonyi field, which plays the role of a hidden matter sector field. It was previously shown that such matter fields can uplift AdS vacua to Minkowski or de Sitter vacua. Additionally, we take a background fluid into account (which can be either matter or radiation), which aids moduli stabilisation. Our analysis shows that the presence of the matter field further aids stabilisation, due to a new scaling regime. We study the system both analytically and numerically.
| 10.073555
| 9.417336
| 8.827162
| 9.078934
| 8.697552
| 9.42411
| 9.189326
| 8.47437
| 8.528398
| 10.167648
| 8.754192
| 9.276701
| 9.199713
| 8.697521
| 8.96552
| 8.860728
| 9.199247
| 8.999084
| 8.988864
| 8.999435
| 9.024353
|
hep-th/0407230
|
Wung-Hong Huang
|
Wung-Hong Huang
|
Tube of (Circle F, D0, D2) Bound State in Melvin Background
|
Latex 9 pages, perform new calculation to correct mistakes and draw
new conclusion, title was changed
|
Phys.Lett. B599 (2004) 301-305
|
10.1016/j.physletb.2004.08.044
| null |
hep-th
| null |
By using the Born-Infeld action we show that the $m$ circular fundamental
strings, $n$ D2-branes and $k$ D0-branes could become a tubular bound state
which is prevented from collapsing by the magnetic force in the Melvin
background. However, if the ratio $m/n$ is larger then a critical value the
tube will become unstable and collapse to zero radius. We make analyses to find
the critical value and tube radius therein. The tube configurations we found
are different from the well known tubular bound states of straight fundamental
strings, D0 and D2-branes, which are supported by the angular momentum.
|
[
{
"created": "Tue, 27 Jul 2004 13:20:22 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Jul 2004 01:52:05 GMT",
"version": "v2"
},
{
"created": "Fri, 13 Aug 2004 08:48:29 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Huang",
"Wung-Hong",
""
]
] |
By using the Born-Infeld action we show that the $m$ circular fundamental strings, $n$ D2-branes and $k$ D0-branes could become a tubular bound state which is prevented from collapsing by the magnetic force in the Melvin background. However, if the ratio $m/n$ is larger then a critical value the tube will become unstable and collapse to zero radius. We make analyses to find the critical value and tube radius therein. The tube configurations we found are different from the well known tubular bound states of straight fundamental strings, D0 and D2-branes, which are supported by the angular momentum.
| 12.521814
| 9.738074
| 12.805861
| 9.580359
| 10.200637
| 9.427666
| 10.517371
| 9.893538
| 10.691567
| 12.325386
| 9.874054
| 10.608673
| 11.446169
| 10.63242
| 10.3179
| 10.429371
| 10.606311
| 10.519555
| 10.484941
| 11.568637
| 10.5341
|
2101.03877
|
Jean-Emile Bourgine
|
Jean-Emile Bourgine
|
Quantum $W_{1+\infty}$ subalgebras of BCD type and symmetric polynomials
|
46 pages, python sketch included (v2: minor changes, to appear in
JMP)
| null |
10.1063/5.0049355
| null |
hep-th math-ph math.MP math.QA
|
http://creativecommons.org/licenses/by-nc-sa/4.0/
|
The infinite affine Lie algebras of type ABCD, also called
$\widehat{\mathfrak{gl}}(\infty)$, $\widehat{\mathfrak{o}}(\infty)$,
$\widehat{\mathfrak{sp}}(\infty)$, are equivalent to subalgebras of the quantum
$W_{1+\infty}$ algebras. They have well-known representations on the Fock space
of either a Dirac fermion ($\hat A_\infty$), a Majorana fermion ($\hat
B_\infty$ and $\hat D_\infty$) or a symplectic boson ($\hat C_\infty$).
Explicit formulas for the action of the quantum $W_{1+\infty}$ subalgebras on
the Fock states are proposed for each representation. These formulas are the
equivalent of the \textit{vertical presentation} of the quantum toroidal
$\mathfrak{gl}(1)$ algebra Fock representation. They provide an alternative to
the fermionic and bosonic expressions of the \textit{horizontal presentation}.
Furthermore, these algebras are known to have a deep connection with symmetric
polynomials. The action of the quantum $W_{1+\infty}$ generators leads to the
derivation of Pieri-like rules and q-difference equations for these
polynomials. In the specific case of $\hat B_\infty$, a q-difference equation
is obtained for $Q$-Schur polynomials indexed by strict partitions.
|
[
{
"created": "Mon, 11 Jan 2021 13:31:16 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Jan 2021 09:57:43 GMT",
"version": "v2"
},
{
"created": "Tue, 25 May 2021 05:24:15 GMT",
"version": "v3"
}
] |
2021-06-16
|
[
[
"Bourgine",
"Jean-Emile",
""
]
] |
The infinite affine Lie algebras of type ABCD, also called $\widehat{\mathfrak{gl}}(\infty)$, $\widehat{\mathfrak{o}}(\infty)$, $\widehat{\mathfrak{sp}}(\infty)$, are equivalent to subalgebras of the quantum $W_{1+\infty}$ algebras. They have well-known representations on the Fock space of either a Dirac fermion ($\hat A_\infty$), a Majorana fermion ($\hat B_\infty$ and $\hat D_\infty$) or a symplectic boson ($\hat C_\infty$). Explicit formulas for the action of the quantum $W_{1+\infty}$ subalgebras on the Fock states are proposed for each representation. These formulas are the equivalent of the \textit{vertical presentation} of the quantum toroidal $\mathfrak{gl}(1)$ algebra Fock representation. They provide an alternative to the fermionic and bosonic expressions of the \textit{horizontal presentation}. Furthermore, these algebras are known to have a deep connection with symmetric polynomials. The action of the quantum $W_{1+\infty}$ generators leads to the derivation of Pieri-like rules and q-difference equations for these polynomials. In the specific case of $\hat B_\infty$, a q-difference equation is obtained for $Q$-Schur polynomials indexed by strict partitions.
| 4.794846
| 4.838424
| 5.311953
| 4.639346
| 5.089067
| 5.046164
| 5.155993
| 4.64933
| 4.588482
| 5.732397
| 4.7574
| 4.589812
| 4.879364
| 4.575179
| 4.707839
| 4.699883
| 4.692527
| 4.646694
| 4.570701
| 4.812005
| 4.569069
|
hep-th/9810180
|
Laurent Houart
|
R. Argurio, L. Houart
|
On the Exotic Phases of M-theory
|
13 pages, LaTeX file, no figures
|
Phys.Lett. B450 (1999) 109-118
|
10.1016/S0370-2693(99)00116-1
|
RI-98-8
|
hep-th
| null |
We study aspects of the new phases of M-theory recently conjectured using
generalised dualities such as timelike T-duality. Our focus is on brane
solutions. We derive the intersection rules in a general framework and then
specialise to the new phases of M-theory. We discuss under which conditions a
configuration with several branes leads to a regular extremal black hole under
compactification. We point out that the entropy seems not to be constant when
the radius of the physical timelike direction is varied. This could be
interpreted as a non-conservation of the entropy (and the mass) under at least
some of the new dualities.
|
[
{
"created": "Thu, 22 Oct 1998 16:32:21 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Argurio",
"R.",
""
],
[
"Houart",
"L.",
""
]
] |
We study aspects of the new phases of M-theory recently conjectured using generalised dualities such as timelike T-duality. Our focus is on brane solutions. We derive the intersection rules in a general framework and then specialise to the new phases of M-theory. We discuss under which conditions a configuration with several branes leads to a regular extremal black hole under compactification. We point out that the entropy seems not to be constant when the radius of the physical timelike direction is varied. This could be interpreted as a non-conservation of the entropy (and the mass) under at least some of the new dualities.
| 11.705064
| 12.235404
| 11.419379
| 11.261685
| 11.83822
| 11.307549
| 12.359295
| 10.888651
| 10.424613
| 12.279322
| 11.037145
| 10.871585
| 11.340672
| 11.159718
| 11.48398
| 10.913558
| 10.983669
| 10.977901
| 11.282204
| 11.715449
| 10.896391
|
hep-th/0108238
|
Matthias R. Gaberdiel
|
M.R. Gaberdiel and A. Recknagel (King's College London)
|
Conformal boundary states for free bosons and fermions
|
32 pages, harvmac (b), 1 figure
|
JHEP 0111:016,2001
|
10.1088/1126-6708/2001/11/016
|
KCL-MTH-01-38
|
hep-th
| null |
A family of conformal boundary states for a free boson on a circle is
constructed. The family contains superpositions of conventional U(1)-preserving
Neumann and Dirichlet branes, but for general parameter values the boundary
states are fundamental and preserve only the conformal symmetry. The relative
overlaps satisfy Cardy's condition, and each boundary state obeys the
factorisation constraint. It is also argued that, together with the
conventional Neumann and Dirichlet branes, these boundary states already
account for all fundamental conformal D-branes of the free boson theory. The
results can be generalised to the situation with N=1 world-sheet supersymmetry,
for which the family of boundary states interpolates between superpositions of
non-BPS branes and combinations of conventional brane anti-brane pairs.
|
[
{
"created": "Fri, 31 Aug 2001 16:29:24 GMT",
"version": "v1"
}
] |
2010-02-03
|
[
[
"Gaberdiel",
"M. R.",
"",
"King's College London"
],
[
"Recknagel",
"A.",
"",
"King's College London"
]
] |
A family of conformal boundary states for a free boson on a circle is constructed. The family contains superpositions of conventional U(1)-preserving Neumann and Dirichlet branes, but for general parameter values the boundary states are fundamental and preserve only the conformal symmetry. The relative overlaps satisfy Cardy's condition, and each boundary state obeys the factorisation constraint. It is also argued that, together with the conventional Neumann and Dirichlet branes, these boundary states already account for all fundamental conformal D-branes of the free boson theory. The results can be generalised to the situation with N=1 world-sheet supersymmetry, for which the family of boundary states interpolates between superpositions of non-BPS branes and combinations of conventional brane anti-brane pairs.
| 9.281933
| 7.958683
| 11.329367
| 7.385464
| 8.801995
| 9.038402
| 8.370363
| 7.223172
| 8.161957
| 10.685324
| 7.756986
| 8.022068
| 8.972146
| 8.066741
| 8.114958
| 7.904517
| 8.155546
| 7.941427
| 8.216009
| 8.781548
| 8.113791
|
1510.06759
|
Subodh Patil
|
Ignatios Antoniadis and Subodh P. Patil
|
The Effective Strength of Gravity, the Scale of Inflation (and how KK
gravitons evade the Higuchi Bound)
|
11 pages, two appendices
| null | null | null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
For any given momentum transfer, gravitational interactions have a strength
set by a characteristic scale $M_*$ inferred from amplitudes calculated in an
effective theory with a strong coupling scale $M_{**}$. These are in general
different from each other and $M_{\rm pl}$, the macroscopic strength of gravity
as determined by (laboratory scale) Cavendish experiments. During single field
inflation, $M_*$ can differ from $M_{\rm pl}$ due to the presence of any number
of (hidden) universally coupled species between laboratory and inflationary
scales. Although this has no effect on dimensionless (i.e. observable)
quantities measured at a fixed scale such as the amplitude and spectral
properties of the CMB anisotropies, it complicates the inference of an absolute
scale of inflation given any detection of primordial tensors. In this note we
review and elaborate upon these facts and address concerns raised in a recent
paper.
|
[
{
"created": "Thu, 22 Oct 2015 20:22:08 GMT",
"version": "v1"
}
] |
2015-10-27
|
[
[
"Antoniadis",
"Ignatios",
""
],
[
"Patil",
"Subodh P.",
""
]
] |
For any given momentum transfer, gravitational interactions have a strength set by a characteristic scale $M_*$ inferred from amplitudes calculated in an effective theory with a strong coupling scale $M_{**}$. These are in general different from each other and $M_{\rm pl}$, the macroscopic strength of gravity as determined by (laboratory scale) Cavendish experiments. During single field inflation, $M_*$ can differ from $M_{\rm pl}$ due to the presence of any number of (hidden) universally coupled species between laboratory and inflationary scales. Although this has no effect on dimensionless (i.e. observable) quantities measured at a fixed scale such as the amplitude and spectral properties of the CMB anisotropies, it complicates the inference of an absolute scale of inflation given any detection of primordial tensors. In this note we review and elaborate upon these facts and address concerns raised in a recent paper.
| 11.690231
| 11.690318
| 11.95837
| 11.228082
| 11.602167
| 11.581561
| 12.305194
| 11.663887
| 11.561548
| 13.90437
| 11.857924
| 11.48103
| 11.133832
| 11.187153
| 11.406734
| 11.298554
| 11.402286
| 10.989475
| 10.759499
| 11.420749
| 11.094799
|
hep-th/0110102
|
Yoshiaki Tanii
|
K. Shima, Y. Tanii and M. Tsuda
|
On Linearization of N=1 Nonlinear Supersymmetry
|
10 pages, LaTeX, references added and minor corrections
|
Phys.Lett. B525 (2002) 183-188
|
10.1016/S0370-2693(01)01416-2
|
SIT-LP-01/06, STUPP-01-162
|
hep-th
| null |
The N=1 Volkov-Akulov model of nonlinear supersymmetry is explicitly related
to a vector supermultiplet model with a Fayet-Iliopoulos D term of linear
supersymmetry. The physical significance of the results is discussed briefly.
|
[
{
"created": "Thu, 11 Oct 2001 08:13:35 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Oct 2001 09:05:57 GMT",
"version": "v2"
},
{
"created": "Wed, 21 Nov 2001 07:37:48 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Shima",
"K.",
""
],
[
"Tanii",
"Y.",
""
],
[
"Tsuda",
"M.",
""
]
] |
The N=1 Volkov-Akulov model of nonlinear supersymmetry is explicitly related to a vector supermultiplet model with a Fayet-Iliopoulos D term of linear supersymmetry. The physical significance of the results is discussed briefly.
| 12.682388
| 9.794136
| 11.173172
| 8.692643
| 9.790564
| 9.975759
| 9.006318
| 8.5952
| 8.540485
| 11.183918
| 8.778391
| 10.158148
| 10.145993
| 9.555585
| 10.376925
| 9.805579
| 9.484934
| 9.563943
| 9.550599
| 10.80981
| 9.488736
|
1705.01656
|
Alexander Zhidenko
|
R. A. Konoplya and A. Zhidenko
|
The portrait of eikonal instability in Lovelock theories
|
21 pages, 9 figures, supplementary Mathematica(R) notebook
|
JCAP 1705 (2017) no.05, 050
|
10.1088/1475-7516/2017/05/050
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Perturbations and eikonal instabilities of black holes and branes in the
Einstein-Gauss-Bonnet theory and its Lovelock generalization were considered in
the literature for several particular cases, where the asymptotic conditions
(flat, dS, AdS), the number of spacetime dimensions $D$, non-vanishing coupling
constants ($\alpha_1$, $\alpha_2$, $\alpha_3$ etc.) and other parameters have
been chosen in a specific way. Here we give a comprehensive analysis of the
eikonal instabilities of black holes and branes for the \emph{most general}
Lovelock theory, not limited by any of the above cases. Although the part of
the stability analysis is performed here purely analytically and formulated in
terms of the inequalities for the black hole parameters, the most general case
is treated numerically and the accurate regions of instabilities are presented.
The shared Mathematica(R) code allows the reader to construct the regions of
eikonal instability for any desired values of the parameters.
|
[
{
"created": "Wed, 3 May 2017 23:51:11 GMT",
"version": "v1"
}
] |
2017-09-11
|
[
[
"Konoplya",
"R. A.",
""
],
[
"Zhidenko",
"A.",
""
]
] |
Perturbations and eikonal instabilities of black holes and branes in the Einstein-Gauss-Bonnet theory and its Lovelock generalization were considered in the literature for several particular cases, where the asymptotic conditions (flat, dS, AdS), the number of spacetime dimensions $D$, non-vanishing coupling constants ($\alpha_1$, $\alpha_2$, $\alpha_3$ etc.) and other parameters have been chosen in a specific way. Here we give a comprehensive analysis of the eikonal instabilities of black holes and branes for the \emph{most general} Lovelock theory, not limited by any of the above cases. Although the part of the stability analysis is performed here purely analytically and formulated in terms of the inequalities for the black hole parameters, the most general case is treated numerically and the accurate regions of instabilities are presented. The shared Mathematica(R) code allows the reader to construct the regions of eikonal instability for any desired values of the parameters.
| 7.743941
| 8.292619
| 7.511088
| 7.062773
| 7.627752
| 7.493124
| 7.644004
| 7.479884
| 7.712515
| 7.843538
| 7.104901
| 7.084177
| 7.316453
| 7.023838
| 7.26385
| 7.226068
| 7.399597
| 6.966868
| 7.122239
| 7.077247
| 7.045734
|
2212.08655
|
Thorsten Schimannek
|
Sheldon Katz, Albrecht Klemm, Thorsten Schimannek, Eric Sharpe
|
Topological Strings on Non-Commutative Resolutions
|
78+30 pages. Fixed acknowledgements and minor typos
|
Comm. Math. Phys. 405 (2024) 62
|
10.1007/s00220-023-04896-2
| null |
hep-th math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we propose a definition of torsion refined Gopakumar-Vafa (GV)
invariants for Calabi-Yau threefolds with terminal nodal singularities that do
not admit K\"ahler crepant resolutions. Physically, the refinement takes into
account the charge of five-dimensional BPS states under a discrete gauge
symmetry in M-theory. We propose a mathematical definition of the invariants in
terms of the geometry of all non-K\"ahler crepant resolutions taken together.
The invariants are encoded in the A-model topological string partition
functions associated to non-commutative (nc) resolutions of the Calabi-Yau. Our
main example will be a singular degeneration of the generic Calabi-Yau double
cover of $\mathbb{P}^3$ and leads to an enumerative interpretation of the
topological string partition function of a hybrid Landau-Ginzburg model. Our
results generalize a recent physical proposal made in the context of torus
fibered Calabi-Yau manifolds by one of the authors and clarify the associated
enumerative geometry.
|
[
{
"created": "Fri, 16 Dec 2022 18:59:42 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Jul 2023 16:20:55 GMT",
"version": "v2"
}
] |
2024-02-27
|
[
[
"Katz",
"Sheldon",
""
],
[
"Klemm",
"Albrecht",
""
],
[
"Schimannek",
"Thorsten",
""
],
[
"Sharpe",
"Eric",
""
]
] |
In this paper we propose a definition of torsion refined Gopakumar-Vafa (GV) invariants for Calabi-Yau threefolds with terminal nodal singularities that do not admit K\"ahler crepant resolutions. Physically, the refinement takes into account the charge of five-dimensional BPS states under a discrete gauge symmetry in M-theory. We propose a mathematical definition of the invariants in terms of the geometry of all non-K\"ahler crepant resolutions taken together. The invariants are encoded in the A-model topological string partition functions associated to non-commutative (nc) resolutions of the Calabi-Yau. Our main example will be a singular degeneration of the generic Calabi-Yau double cover of $\mathbb{P}^3$ and leads to an enumerative interpretation of the topological string partition function of a hybrid Landau-Ginzburg model. Our results generalize a recent physical proposal made in the context of torus fibered Calabi-Yau manifolds by one of the authors and clarify the associated enumerative geometry.
| 7.389734
| 7.564553
| 9.084262
| 6.981461
| 7.305449
| 7.531911
| 7.33441
| 7.359512
| 7.141938
| 8.886611
| 7.034437
| 7.091319
| 8.072762
| 7.178983
| 6.98361
| 7.286751
| 7.290634
| 7.274117
| 7.185814
| 7.677485
| 7.108917
|
1303.3126
|
I. T. Drummond
|
I. T. Drummond
|
Quantum Field Theory in a Multi-Metric Background
|
41 pages, 7 figures
| null |
10.1103/PhysRevD.88.025009
|
DAMTP-2013-13
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
By means of simple models in a flat spacetime manifold we examine some of the
issues that arise when quantizing interacting quantum fields in multi-metric
backgrounds. In particular we investigate the maintenance of a causal structure
in the models. In this context we introduce and explain the relevance of an
interpolating metric that is a superposition of the individual metrics in the
models. We study the renormalisation of a model with quartic interactions and
elucidate the structure of the renormalisation group and its implications for
Lorentz symmetry breakdown.
|
[
{
"created": "Wed, 13 Mar 2013 10:39:02 GMT",
"version": "v1"
}
] |
2015-06-15
|
[
[
"Drummond",
"I. T.",
""
]
] |
By means of simple models in a flat spacetime manifold we examine some of the issues that arise when quantizing interacting quantum fields in multi-metric backgrounds. In particular we investigate the maintenance of a causal structure in the models. In this context we introduce and explain the relevance of an interpolating metric that is a superposition of the individual metrics in the models. We study the renormalisation of a model with quartic interactions and elucidate the structure of the renormalisation group and its implications for Lorentz symmetry breakdown.
| 12.965393
| 11.731549
| 12.336463
| 11.492044
| 11.675571
| 12.362062
| 12.335714
| 11.086069
| 11.343819
| 11.846756
| 12.049647
| 11.137012
| 12.041579
| 11.540571
| 11.424093
| 11.328884
| 11.455655
| 11.55788
| 11.893205
| 12.113671
| 11.55734
|
hep-th/0504169
|
Sandrine Cnockaert
|
S. Cnockaert, M. Henneaux
|
Lovelock Terms and BRST Cohomology
|
20 pages
|
Class.Quant.Grav. 22 (2005) 2797-2810
|
10.1088/0264-9381/22/13/017
|
ULB-TH/05-07
|
hep-th
| null |
Lovelock terms are polynomial scalar densities in the Riemann curvature
tensor that have the remarkable property that their Euler-Lagrange derivatives
contain derivatives of the metric of order not higher than two (while generic
polynomial scalar densities lead to Euler-Lagrange derivatives with derivatives
of the metric of order four). A characteristic feature of Lovelock terms is
that their first nonvanishing term in the expansion of the metric around flat
space is a total derivative. In this paper, we investigate generalized Lovelock
terms defined as polynomial scalar densities in the Riemann curvature tensor
and its covariant derivatives (of arbitrarily high but finite order) such that
their first nonvanishing term in the expansion of the metric around flat space
is a total derivative. This is done by reformulating the problem as a BRST
cohomological one and by using cohomological tools. We determine all the
generalized Lovelock terms. We find, in fact, that the class of nontrivial
generalized Lovelock terms contains only the usual ones. Allowing covariant
derivatives of the Riemann tensor does not lead to new structure. Our work
provides a novel algebraic understanding of the Lovelock terms in the context
of BRST cohomology.
|
[
{
"created": "Wed, 20 Apr 2005 14:10:18 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Apr 2005 09:38:12 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Cnockaert",
"S.",
""
],
[
"Henneaux",
"M.",
""
]
] |
Lovelock terms are polynomial scalar densities in the Riemann curvature tensor that have the remarkable property that their Euler-Lagrange derivatives contain derivatives of the metric of order not higher than two (while generic polynomial scalar densities lead to Euler-Lagrange derivatives with derivatives of the metric of order four). A characteristic feature of Lovelock terms is that their first nonvanishing term in the expansion of the metric around flat space is a total derivative. In this paper, we investigate generalized Lovelock terms defined as polynomial scalar densities in the Riemann curvature tensor and its covariant derivatives (of arbitrarily high but finite order) such that their first nonvanishing term in the expansion of the metric around flat space is a total derivative. This is done by reformulating the problem as a BRST cohomological one and by using cohomological tools. We determine all the generalized Lovelock terms. We find, in fact, that the class of nontrivial generalized Lovelock terms contains only the usual ones. Allowing covariant derivatives of the Riemann tensor does not lead to new structure. Our work provides a novel algebraic understanding of the Lovelock terms in the context of BRST cohomology.
| 5.210292
| 5.241962
| 4.757107
| 4.586077
| 5.445182
| 5.040829
| 5.222083
| 5.003232
| 5.017169
| 4.861457
| 4.78576
| 4.592801
| 4.66904
| 4.559593
| 4.599945
| 4.546151
| 4.584433
| 4.464539
| 4.546401
| 4.712327
| 4.687014
|
2305.09734
|
Wei Cui
|
Jin Chen, Wei Cui, Babak Haghighat, Yi-Nan Wang
|
SymTFTs and Duality Defects from 6d SCFTs on 4-manifolds
|
41 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we study particular TQFTs in three dimensions, known as Symmetry
Topological Field Theories (or SymTFTs), to identify line defects of
two-dimensional CFTs arising from the compactification of 6d $(2,0)$ SCFTs on
4-manifolds $M_4$. The mapping class group of $M_4$ and the automorphism group
of the SymTFT switch between different absolute 2d theories or global variants.
Using the combined symmetries, we realize the topological defects in these
global variants. Our main example is $\mathbb{P}^1 \times \mathbb{P}^1$. For
$N$ M5-branes the corresponding 2d theory inherits $\mathbb{Z}_N$ $0$-form
symmetries from the SymTFT. We reproduce the orbifold groupoid for theories
with $\mathbb{Z}_N$ $0$-form symmetries and realize the duality defects at
fixed points of the coupling constant under elements of the mapping class
group. We also study other Hirzebruch surfaces, del Pezzo surfaces, as well as
the connected sum of $\mathbb{P}^1 \times \mathbb{P}^1$. We find a rich network
of global variants connected via automorphisms and realize more interesting
topological defects. Finally, we derive the SymTFT on more general 4-manifolds
and provide two examples.
|
[
{
"created": "Tue, 16 May 2023 18:07:54 GMT",
"version": "v1"
}
] |
2023-05-18
|
[
[
"Chen",
"Jin",
""
],
[
"Cui",
"Wei",
""
],
[
"Haghighat",
"Babak",
""
],
[
"Wang",
"Yi-Nan",
""
]
] |
In this work we study particular TQFTs in three dimensions, known as Symmetry Topological Field Theories (or SymTFTs), to identify line defects of two-dimensional CFTs arising from the compactification of 6d $(2,0)$ SCFTs on 4-manifolds $M_4$. The mapping class group of $M_4$ and the automorphism group of the SymTFT switch between different absolute 2d theories or global variants. Using the combined symmetries, we realize the topological defects in these global variants. Our main example is $\mathbb{P}^1 \times \mathbb{P}^1$. For $N$ M5-branes the corresponding 2d theory inherits $\mathbb{Z}_N$ $0$-form symmetries from the SymTFT. We reproduce the orbifold groupoid for theories with $\mathbb{Z}_N$ $0$-form symmetries and realize the duality defects at fixed points of the coupling constant under elements of the mapping class group. We also study other Hirzebruch surfaces, del Pezzo surfaces, as well as the connected sum of $\mathbb{P}^1 \times \mathbb{P}^1$. We find a rich network of global variants connected via automorphisms and realize more interesting topological defects. Finally, we derive the SymTFT on more general 4-manifolds and provide two examples.
| 7.130196
| 6.517307
| 7.678049
| 6.561222
| 7.171336
| 6.7876
| 6.747115
| 6.819569
| 6.520002
| 9.67605
| 6.487334
| 6.635111
| 7.11716
| 6.834889
| 6.836825
| 6.843675
| 6.792072
| 7.033092
| 6.716167
| 7.377726
| 6.898132
|
1012.0113
|
K. Narayan
|
K. Narayan
|
Null cosmological singularities and free strings: II
|
Latex, 25pgs, v2: some reorganization and other minor modifications,
references added, to appear in JHEP
|
JHEP 1101:145,2011
|
10.1007/JHEP01(2011)145
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In arXiv:0909.4731 [hep-th], we argued that the free string lightcone
Schrodinger wavefunctional in the vicinity of null Kasner-like cosmological
singularities has nonsingular time-dependence if the Kasner exponents satisfy
certain relations. These backgrounds are anisotropic plane waves with
singularities. We first show here that only certain singularities admit a
Rosen-Kasner frame with exponents satisfying relations leading to a
wavefunctional with nonsingular time-dependence. Then we build on the (Rosen)
description further and study various physical observables for a time-dependent
harmonic oscillator toy model and then the free string, reconciling this with
the corresponding description in the conventional plane wave variables. We find
that observables containing no time derivatives are identical in these
variables while those with time derivatives are different. Various free string
observables are still divergent, perhaps consistent with string oscillator
states becoming light in the vicinity of the singularity.
|
[
{
"created": "Wed, 1 Dec 2010 07:10:54 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Jan 2011 12:49:50 GMT",
"version": "v2"
}
] |
2011-02-03
|
[
[
"Narayan",
"K.",
""
]
] |
In arXiv:0909.4731 [hep-th], we argued that the free string lightcone Schrodinger wavefunctional in the vicinity of null Kasner-like cosmological singularities has nonsingular time-dependence if the Kasner exponents satisfy certain relations. These backgrounds are anisotropic plane waves with singularities. We first show here that only certain singularities admit a Rosen-Kasner frame with exponents satisfying relations leading to a wavefunctional with nonsingular time-dependence. Then we build on the (Rosen) description further and study various physical observables for a time-dependent harmonic oscillator toy model and then the free string, reconciling this with the corresponding description in the conventional plane wave variables. We find that observables containing no time derivatives are identical in these variables while those with time derivatives are different. Various free string observables are still divergent, perhaps consistent with string oscillator states becoming light in the vicinity of the singularity.
| 18.179495
| 17.526804
| 19.860931
| 17.98543
| 16.6178
| 17.00931
| 16.978815
| 16.914047
| 17.589584
| 20.912361
| 16.365057
| 16.864933
| 18.210192
| 16.685146
| 16.591307
| 17.21283
| 16.361979
| 17.38151
| 16.583242
| 17.565889
| 16.407206
|
hep-th/0407153
|
Olga Babourova Valer'evna
|
O.V. Babourova, A.S. Vshivtsev, V.P. Myasnikov, B.N. Frolov
|
Spin Particle with a Color Charge in a Color Field in Riemann-Cartan
Space
|
8 pages, no figures
|
Phys.Atom.Nucl. 61 (1998) 2175-2179; Yad.Fiz. 61 (1998) 2289-2293
| null | null |
hep-th cond-mat.other gr-qc
| null |
On the basis of the method of Cartan exterior forms and extended Lie
derivatives, a hydrodynamic equation of the Euler type that describes a perfect
spin fluid with an intrinsic color charge in an external non-Abelian color
field in Riemann-Cartan space is derived from the energy-momentum
quasiconservation law. This equation is used to obtain a self-consistent set of
equations of motion for a classical test particle with a spin and a color
charge in a color field combined with a gravitational field characterized by
curvature and torsion. The resulting equations generalize the Wong equation,
which describes the motion of a particle with an isospin, and the Tamm-Good and
Bargmann-Michel-Telegdi equations, which describe the evolution of a
charged-particle spin in an electromagnetic field.
|
[
{
"created": "Sat, 17 Jul 2004 13:34:33 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Babourova",
"O. V.",
""
],
[
"Vshivtsev",
"A. S.",
""
],
[
"Myasnikov",
"V. P.",
""
],
[
"Frolov",
"B. N.",
""
]
] |
On the basis of the method of Cartan exterior forms and extended Lie derivatives, a hydrodynamic equation of the Euler type that describes a perfect spin fluid with an intrinsic color charge in an external non-Abelian color field in Riemann-Cartan space is derived from the energy-momentum quasiconservation law. This equation is used to obtain a self-consistent set of equations of motion for a classical test particle with a spin and a color charge in a color field combined with a gravitational field characterized by curvature and torsion. The resulting equations generalize the Wong equation, which describes the motion of a particle with an isospin, and the Tamm-Good and Bargmann-Michel-Telegdi equations, which describe the evolution of a charged-particle spin in an electromagnetic field.
| 7.712451
| 9.367725
| 8.063087
| 7.166434
| 7.789046
| 8.013224
| 8.493716
| 7.770724
| 8.202868
| 7.950998
| 8.452793
| 7.431663
| 7.434665
| 7.023172
| 7.295018
| 7.315845
| 7.542652
| 7.145101
| 7.355042
| 7.240323
| 7.411494
|
hep-th/0211180
|
Nicholas Jones
|
Nicholas T. Jones and S.-H. Henry Tye
|
An Improved Brane Anti-Brane Action from Boundary Superstring Field
Theory and Multi-Vortex Solutions
|
24 pages, 1 figure, JHEP3.cls; v2: references added, tunneling rate
discussion expanded
|
JHEP 0301 (2003) 012
|
10.1088/1126-6708/2003/01/012
|
CLNS 02/1807
|
hep-th
| null |
We present an improved effective action for the D-brane-anti-D-brane system
obtained from boundary superstring field theory. Although the action looks
highly non-trivial, it has simple explicit multi-vortex (i.e. codimension-2
multi-BPS D-brane) multi-anti-vortex solutions. The solutions have a curious
degeneracy corresponding to different ``magnetic'' fluxes at the core of each
vortex. We also generalize the brane anti-brane effective action that is
suitable for the study of the inflationary scenario and the production of
defects in the early universe. We show that when a brane and anti-brane are
distantly separated, although the system is classically stable it can decay via
quantum tunneling through the barrier.
|
[
{
"created": "Tue, 19 Nov 2002 18:43:48 GMT",
"version": "v1"
},
{
"created": "Sun, 1 Dec 2002 18:18:24 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Jones",
"Nicholas T.",
""
],
[
"Tye",
"S. -H. Henry",
""
]
] |
We present an improved effective action for the D-brane-anti-D-brane system obtained from boundary superstring field theory. Although the action looks highly non-trivial, it has simple explicit multi-vortex (i.e. codimension-2 multi-BPS D-brane) multi-anti-vortex solutions. The solutions have a curious degeneracy corresponding to different ``magnetic'' fluxes at the core of each vortex. We also generalize the brane anti-brane effective action that is suitable for the study of the inflationary scenario and the production of defects in the early universe. We show that when a brane and anti-brane are distantly separated, although the system is classically stable it can decay via quantum tunneling through the barrier.
| 10.093179
| 10.050944
| 10.075574
| 9.276234
| 9.558601
| 10.059425
| 9.985867
| 10.014022
| 9.92682
| 10.826909
| 10.263334
| 9.902831
| 9.973754
| 9.885505
| 10.147549
| 9.915542
| 10.110503
| 9.939992
| 9.800814
| 10.089676
| 10.009835
|
1504.06308
|
Cyril Closset
|
Cyril Closset, Stefano Cremonesi and Daniel S. Park
|
The equivariant A-twist and gauged linear sigma models on the two-sphere
|
101 pages plus appendices; v2: minor changes, typos corrected,
references added; v3: typos corrected
|
JHEP 1506 (2015) 076
|
10.1007/JHEP06(2015)076
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study two-dimensional $\mathcal{N}=(2,2)$ supersymmetric gauged linear
sigma models (GLSM) on the $\Omega$-deformed sphere, $S^2_\Omega$, which is a
one-parameter deformation of the $A$-twisted sphere. We provide an exact
formula for the $S^2_\Omega$ supersymmetric correlation functions using
supersymmetric localization. The contribution of each instanton sector is given
in terms of a Jeffrey-Kirwan residue on the Coulomb branch. In the limit of
vanishing $\Omega$-deformation, the localization formula greatly simplifies the
computation of $A$-twisted correlation functions, and leads to new results for
non-abelian theories. We discuss a number of examples and comment on the
$\epsilon_\Omega$-deformation of the quantum cohomology relations. Finally, we
present a complementary Higgs branch localization scheme in the special case of
abelian gauge groups.
|
[
{
"created": "Thu, 23 Apr 2015 19:42:28 GMT",
"version": "v1"
},
{
"created": "Sun, 17 May 2015 10:36:38 GMT",
"version": "v2"
},
{
"created": "Tue, 22 Sep 2015 00:50:11 GMT",
"version": "v3"
}
] |
2015-09-23
|
[
[
"Closset",
"Cyril",
""
],
[
"Cremonesi",
"Stefano",
""
],
[
"Park",
"Daniel S.",
""
]
] |
We study two-dimensional $\mathcal{N}=(2,2)$ supersymmetric gauged linear sigma models (GLSM) on the $\Omega$-deformed sphere, $S^2_\Omega$, which is a one-parameter deformation of the $A$-twisted sphere. We provide an exact formula for the $S^2_\Omega$ supersymmetric correlation functions using supersymmetric localization. The contribution of each instanton sector is given in terms of a Jeffrey-Kirwan residue on the Coulomb branch. In the limit of vanishing $\Omega$-deformation, the localization formula greatly simplifies the computation of $A$-twisted correlation functions, and leads to new results for non-abelian theories. We discuss a number of examples and comment on the $\epsilon_\Omega$-deformation of the quantum cohomology relations. Finally, we present a complementary Higgs branch localization scheme in the special case of abelian gauge groups.
| 5.609357
| 5.326632
| 6.332072
| 5.287531
| 5.369
| 5.198399
| 5.245335
| 5.17075
| 5.205461
| 7.619897
| 4.995524
| 5.138117
| 5.766924
| 5.049325
| 5.074173
| 5.132294
| 4.970392
| 5.058948
| 5.001194
| 5.591191
| 5.019447
|
hep-th/9710247
|
Dimitris Matalliotakis
|
D. Matalliotakis, H. P. Nilles, S. Theisen
|
Matching the BPS Spectra of Heterotic - Type I - Type I' Strings
|
11 pages; minor typos in eq. (3), (4) and on page 9 have been
corrected; two footnotes taking into account additional references have been
added; version to appear in Physics Letters B
|
Phys.Lett. B421 (1998) 169-175
|
10.1016/S0370-2693(97)01576-1
|
LMU-TPW-97-26, NEIP-97-012
|
hep-th
| null |
We give a detailed discussion of the matching of the BPS states of heterotic,
type I and type I' theories in d=9 for general backgrounds. This allows us to
explicitly identify these (composite) brane states in the type I' theory that
lead to gauge symmetry enhancement at critical points in moduli space. An
example is the enhancement of $SO(16)\times SO(16)$ to $E_8\times E_8$.
|
[
{
"created": "Fri, 31 Oct 1997 16:01:48 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Jan 1998 13:57:57 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Matalliotakis",
"D.",
""
],
[
"Nilles",
"H. P.",
""
],
[
"Theisen",
"S.",
""
]
] |
We give a detailed discussion of the matching of the BPS states of heterotic, type I and type I' theories in d=9 for general backgrounds. This allows us to explicitly identify these (composite) brane states in the type I' theory that lead to gauge symmetry enhancement at critical points in moduli space. An example is the enhancement of $SO(16)\times SO(16)$ to $E_8\times E_8$.
| 8.668644
| 7.959188
| 9.297146
| 7.090135
| 7.645259
| 6.825113
| 7.860302
| 7.52707
| 7.358428
| 8.698088
| 7.012167
| 7.34284
| 7.945385
| 7.834435
| 7.397387
| 7.754648
| 7.251614
| 7.780292
| 7.707068
| 8.413933
| 7.589868
|
hep-th/9308135
|
Vladimir Kazakov
|
Vladimir Kazakov
|
A String Project in Multicolour QCD
|
(26 pages, LPTENS-93-33, LaTeX file, 5 figs. not included)
| null |
10.1142/9789814447072_0002
| null |
hep-th
| null |
Some old and new evidence for the existence of the string (planar random
surfaces) representation of multicolour QCD are reviewed. They concern the
random surface representation of the strong coupling expansion in lattice
multicolour gauge theory in any dimension. Our old idea of modified strong
coupling expansion in terms of planar random surfaces, valid for the physical
weak coupling phase of the four-dimensional QCD, is explained in detail. Some
checks of the validity of this expansion are proposed. (The lectures given in
the Trieste Spring School and Workshop-1993 on String Theory).
|
[
{
"created": "Fri, 27 Aug 1993 17:33:59 GMT",
"version": "v1"
}
] |
2016-11-03
|
[
[
"Kazakov",
"Vladimir",
""
]
] |
Some old and new evidence for the existence of the string (planar random surfaces) representation of multicolour QCD are reviewed. They concern the random surface representation of the strong coupling expansion in lattice multicolour gauge theory in any dimension. Our old idea of modified strong coupling expansion in terms of planar random surfaces, valid for the physical weak coupling phase of the four-dimensional QCD, is explained in detail. Some checks of the validity of this expansion are proposed. (The lectures given in the Trieste Spring School and Workshop-1993 on String Theory).
| 17.226179
| 16.202322
| 16.496281
| 14.373105
| 14.570837
| 14.443237
| 13.413376
| 14.457047
| 13.471256
| 20.205946
| 12.768334
| 14.360577
| 15.210588
| 13.507863
| 13.302724
| 13.405911
| 13.631173
| 13.115189
| 13.50766
| 15.165864
| 13.717745
|
1007.4777
|
Aref'eva Irina
|
I.Ya. Aref'eva
|
Colliding Hadrons as Cosmic Membranes and Possible Signatures of Lost
Momentum
|
15 pages, Latex
| null |
10.1007/978-3-642-19760-4_2
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We argue that in the TeV-gravity scenario high energy hadrons colliding on
the 3-brane embedded in D=4+n-dimensional spacetime, with n dimensions smaller
than the hadron size, can be considered as cosmic membranes. In the
5-dimensional case these cosmic membranes produce effects similar to cosmic
strings in the 4-dimensional world. We calculate the corrections to the eikonal
approximation for the gravitational scattering of partons due to the presence
of effective hadron cosmic membranes. Cosmic membranes dominate the momentum
lost in the longitudinal direction for colliding particles that opens new
channels for particle decays.
|
[
{
"created": "Tue, 27 Jul 2010 17:45:49 GMT",
"version": "v1"
}
] |
2015-05-19
|
[
[
"Aref'eva",
"I. Ya.",
""
]
] |
We argue that in the TeV-gravity scenario high energy hadrons colliding on the 3-brane embedded in D=4+n-dimensional spacetime, with n dimensions smaller than the hadron size, can be considered as cosmic membranes. In the 5-dimensional case these cosmic membranes produce effects similar to cosmic strings in the 4-dimensional world. We calculate the corrections to the eikonal approximation for the gravitational scattering of partons due to the presence of effective hadron cosmic membranes. Cosmic membranes dominate the momentum lost in the longitudinal direction for colliding particles that opens new channels for particle decays.
| 16.404081
| 17.611767
| 13.619699
| 14.381967
| 14.938679
| 15.876827
| 16.589714
| 16.431728
| 14.747248
| 15.716805
| 15.482508
| 16.294008
| 14.630276
| 15.125932
| 15.369774
| 15.318341
| 15.264992
| 16.349646
| 16.097923
| 14.90281
| 15.040062
|
hep-th/9807131
|
Fabian Gaioli
|
Fabian H. Gaioli and Edgardo T. Garcia Alvarez
|
Classical and quantum theories of spin
|
11 pages, Latex, to be published in Found. Phys
|
Found.Phys.28:1539-1550,1998
|
10.1023/A:1018834217984
| null |
hep-th quant-ph
| null |
A great effort has been devoted to formulate a classical relativistic theory
of spin compatible with quantum relativistic wave equations. The main
difficulty in order to connect classical and quantum theories rests in finding
a parameter which plays the role of proper time at a purely quantum level. We
present a partial review of several proposals of classical and quantum spin
theories from the pioneer works of Thomas and Frenkel, revisited in the
classical BMT work, to the semiclassical model of Barut and Zanghi [Phys. Rev.
Lett. 52, 2009 (1984)]. We show that the last model can be obtained from a
semiclassical limit of the Feynman proper time parametrization of the Dirac
equation. At the quantum level we derive spin precession equations in the
Heisenberg picture. Analogies and differences with respect to classical
theories are discussed in detail.
|
[
{
"created": "Fri, 17 Jul 1998 22:29:34 GMT",
"version": "v1"
}
] |
2010-11-23
|
[
[
"Gaioli",
"Fabian H.",
""
],
[
"Alvarez",
"Edgardo T. Garcia",
""
]
] |
A great effort has been devoted to formulate a classical relativistic theory of spin compatible with quantum relativistic wave equations. The main difficulty in order to connect classical and quantum theories rests in finding a parameter which plays the role of proper time at a purely quantum level. We present a partial review of several proposals of classical and quantum spin theories from the pioneer works of Thomas and Frenkel, revisited in the classical BMT work, to the semiclassical model of Barut and Zanghi [Phys. Rev. Lett. 52, 2009 (1984)]. We show that the last model can be obtained from a semiclassical limit of the Feynman proper time parametrization of the Dirac equation. At the quantum level we derive spin precession equations in the Heisenberg picture. Analogies and differences with respect to classical theories are discussed in detail.
| 9.280631
| 10.58813
| 10.09322
| 9.436634
| 10.804394
| 10.464553
| 10.200707
| 10.249448
| 9.850612
| 11.24159
| 9.456681
| 8.790119
| 8.835418
| 8.764184
| 8.991633
| 8.515574
| 9.015953
| 8.34245
| 8.729009
| 8.9405
| 8.54085
|
1302.6919
|
Pei-Ming Ho
|
Pei-Ming Ho, Chen-Te Ma
|
Effective Action for Dp-Brane in Large RR (p-1)-Form Background
|
16 pages, reference list corrected
| null |
10.1007/JHEP05(2013)056
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct the low energy effective action for the bosonic sector on a
Dp-brane in large constant RR (p-1)-form field background. The action is
invariant under both U(1) gauge symmetry and the volume-preserving
diffeomorphism characterizing the RR-field background. Scalar fields
representing transverse coordinates of the Dp-brane are included. It also
respects T-duality and is consistent with the action for M5-brane in C-field
background.
|
[
{
"created": "Wed, 27 Feb 2013 16:51:25 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Mar 2013 15:51:35 GMT",
"version": "v2"
}
] |
2015-06-15
|
[
[
"Ho",
"Pei-Ming",
""
],
[
"Ma",
"Chen-Te",
""
]
] |
We construct the low energy effective action for the bosonic sector on a Dp-brane in large constant RR (p-1)-form field background. The action is invariant under both U(1) gauge symmetry and the volume-preserving diffeomorphism characterizing the RR-field background. Scalar fields representing transverse coordinates of the Dp-brane are included. It also respects T-duality and is consistent with the action for M5-brane in C-field background.
| 9.405476
| 7.253274
| 10.133799
| 7.526761
| 8.110584
| 6.607669
| 6.90009
| 7.846613
| 7.651389
| 9.766583
| 7.60981
| 8.548505
| 9.913795
| 8.520912
| 8.650745
| 8.335192
| 8.413613
| 8.659923
| 8.500886
| 9.561982
| 8.28968
|
2009.01246
|
Milind Shyani
|
Milind Shyani
|
Analyticity of replica correlators and Modular ETH
|
Edited abstract, removed section on modular flows, added
acknowledgements
| null | null | null |
hep-th cond-mat.stat-mech cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the two point correlation function of a local operator on an
$n$-sheeted replica manifold corresponding to the half-space in the vacuum
state of a conformal field theory. In analogy with the inverse Laplace
transform, we define the Renyi transform of this correlation function, which is
a function of one complex variable $w$, dual to the Renyi parameter $n$.
Inspired by the inversion formula of Caron-Huot, we argue that if the Renyi
transform $f(w)$ has bounded behavior at infinity in the complex $w$ plane, the
discontinuity of the Renyi transform disc $f(w)$ provides the unique analytic
continuation in $n$ of the original replica correlation function. We check our
formula by explicitly calculating the Renyi transform of a particular replica
correlator in a large $N$ holographic CFT$_d$ in dimensions $d>2$.
We also discover that the discontinuity of the Renyi transform is related to
the matrix element of local operators between two distinct eigenstates of the
modular Hamiltonian. We calculate the Renyi transform in $2d$ conformal field
theories, and use it to extract the off-diagonal elements of (modular) ETH. We
argue that in $2d$, this is equivalent to the off-diagonal OPE coefficients of
a CFT and show that our technique exactly reproduces recent results in the
literature.
|
[
{
"created": "Wed, 2 Sep 2020 18:00:01 GMT",
"version": "v1"
},
{
"created": "Sun, 15 Jan 2023 16:37:57 GMT",
"version": "v2"
}
] |
2023-01-18
|
[
[
"Shyani",
"Milind",
""
]
] |
We study the two point correlation function of a local operator on an $n$-sheeted replica manifold corresponding to the half-space in the vacuum state of a conformal field theory. In analogy with the inverse Laplace transform, we define the Renyi transform of this correlation function, which is a function of one complex variable $w$, dual to the Renyi parameter $n$. Inspired by the inversion formula of Caron-Huot, we argue that if the Renyi transform $f(w)$ has bounded behavior at infinity in the complex $w$ plane, the discontinuity of the Renyi transform disc $f(w)$ provides the unique analytic continuation in $n$ of the original replica correlation function. We check our formula by explicitly calculating the Renyi transform of a particular replica correlator in a large $N$ holographic CFT$_d$ in dimensions $d>2$. We also discover that the discontinuity of the Renyi transform is related to the matrix element of local operators between two distinct eigenstates of the modular Hamiltonian. We calculate the Renyi transform in $2d$ conformal field theories, and use it to extract the off-diagonal elements of (modular) ETH. We argue that in $2d$, this is equivalent to the off-diagonal OPE coefficients of a CFT and show that our technique exactly reproduces recent results in the literature.
| 7.403409
| 7.754415
| 8.435958
| 7.332364
| 8.356027
| 7.986513
| 7.633881
| 7.307366
| 7.387443
| 8.896509
| 7.327052
| 7.436711
| 7.756177
| 7.233484
| 7.439598
| 7.553396
| 7.263663
| 7.394585
| 7.262855
| 7.68608
| 7.134639
|
hep-th/9701120
|
Dr Tsou Sheung Tsun
|
H. M. Chan (Rutherford Appleton Laboratory) and S. T. Tsou
(Mathematical Institute, Oxford University)
|
Physical Consequences of Nonabelian Duality in the Standard Model
|
Latex, 42 pages, plus 4 figures sent on request
|
Phys.Rev. D57 (1998) 2507-2522
|
10.1103/PhysRevD.57.2507
|
RAL-TR-97-005
|
hep-th hep-ph
| null |
Possible physical consequences of a recently discovered nonabelian dual
symmetry are explored in the standard model. It is found that both Higgs fields
and fermion generations can be assigned a natural place in the dual framework,
with Higgs fields appearing as frames (or `N-beins') in internal symmetry
space, and generations appearing as spontaneously broken dual colour. Fermions
then occur in exactly 3 generations and have a factorizable mass matrix which
gives automatically one generation much heavier than the other two. The CKM
matrix is the identity at zeroth order, but acquires mixing through higher loop
corrections. Preliminary considerations are given to calculating the CKM matrix
and lower generation masses. New vector and Higgs bosons are predicted.
|
[
{
"created": "Thu, 23 Jan 1997 17:11:24 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Chan",
"H. M.",
"",
"Rutherford Appleton Laboratory"
],
[
"Tsou",
"S. T.",
"",
"Mathematical Institute, Oxford University"
]
] |
Possible physical consequences of a recently discovered nonabelian dual symmetry are explored in the standard model. It is found that both Higgs fields and fermion generations can be assigned a natural place in the dual framework, with Higgs fields appearing as frames (or `N-beins') in internal symmetry space, and generations appearing as spontaneously broken dual colour. Fermions then occur in exactly 3 generations and have a factorizable mass matrix which gives automatically one generation much heavier than the other two. The CKM matrix is the identity at zeroth order, but acquires mixing through higher loop corrections. Preliminary considerations are given to calculating the CKM matrix and lower generation masses. New vector and Higgs bosons are predicted.
| 16.30267
| 15.592659
| 13.53412
| 13.010713
| 15.241822
| 15.40125
| 14.015862
| 14.783426
| 13.743188
| 15.073562
| 14.861279
| 14.84129
| 14.872691
| 14.71735
| 15.008858
| 14.744579
| 14.837523
| 14.917837
| 14.841609
| 15.048711
| 15.163875
|
1710.07759
|
Leslaw Rachwal
|
Alexey S. Koshelev, K. Sravan Kumar, Leonardo Modesto, Leslaw Rachwal
|
Finite quantum gravity in dS and AdS spacetimes
|
24 pages, final version with journal corrections
|
Phys. Rev. D 98, 046007 (2018)
|
10.1103/PhysRevD.98.046007
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We hereby study the properties of a large class of weakly nonlocal
gravitational theories around the (anti-) de Sitter spacetime background. In
particular, we explicitly prove that the kinetic operator for the graviton
field has the same structure as the one in Einstein-Hilbert theory around any
maximally symmetric spacetime. Therefore, the perturbative spectrum is the same
of standard general relativity, while the propagator on any maximally symmetric
spacetime is a mere generalization of the one from Einstein's gravity derived
and extensively studied in several previous papers. At quantum level the range
of theories here presented is superrenormalizable or finite when proper (non
affecting the propagator) terms cubic or higher in curvatures are added.
Finally, it is proven that for a large class of nonlocal theories, which in
their actions do involve neither the Weyl nor the Riemann tensor, the theory is
classically equivalent to the Einstein-Hilbert one with cosmological constant
by means of a metric field redefinition at any perturbative order.
|
[
{
"created": "Sat, 21 Oct 2017 06:04:35 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Aug 2018 01:24:35 GMT",
"version": "v2"
}
] |
2018-08-16
|
[
[
"Koshelev",
"Alexey S.",
""
],
[
"Kumar",
"K. Sravan",
""
],
[
"Modesto",
"Leonardo",
""
],
[
"Rachwal",
"Leslaw",
""
]
] |
We hereby study the properties of a large class of weakly nonlocal gravitational theories around the (anti-) de Sitter spacetime background. In particular, we explicitly prove that the kinetic operator for the graviton field has the same structure as the one in Einstein-Hilbert theory around any maximally symmetric spacetime. Therefore, the perturbative spectrum is the same of standard general relativity, while the propagator on any maximally symmetric spacetime is a mere generalization of the one from Einstein's gravity derived and extensively studied in several previous papers. At quantum level the range of theories here presented is superrenormalizable or finite when proper (non affecting the propagator) terms cubic or higher in curvatures are added. Finally, it is proven that for a large class of nonlocal theories, which in their actions do involve neither the Weyl nor the Riemann tensor, the theory is classically equivalent to the Einstein-Hilbert one with cosmological constant by means of a metric field redefinition at any perturbative order.
| 10.150135
| 10.304126
| 10.516646
| 9.657826
| 10.06557
| 9.677351
| 10.209963
| 10.12629
| 9.816419
| 12.706378
| 9.678627
| 9.633968
| 9.538568
| 9.54945
| 9.824752
| 9.752756
| 9.502036
| 9.790935
| 9.712439
| 10.058941
| 9.473281
|
0712.0601
|
Tae-Hun Lee
|
Tae-Hun Lee
|
One-loop effective brane action
|
12 pages, no figure
|
JHEP 0808:039,2008
|
10.1088/1126-6708/2008/08/039
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The one-loop effective action for a $p$ brane embedded in a $D=p+2$ Minkowski
spacetime in the static gauge is calculated. Rescaling the quantum fluctuation
by $\sqrt{-g_0}$ evaluated on the background brane leads to the one-loop
effective action expressed only in terms of infrared and ultraviolet divergent
geometric scalars. After the infrared divergences are absorbed into the quantum
fluctuation, there remains the finite number of ultraviolet divergences. This
implies that the $D=p+2$ Poincar\'{e} symmetry and the $D=p+1$ general
coordinate invariance are preserved in one-loop order.
|
[
{
"created": "Tue, 4 Dec 2007 20:13:27 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Jan 2008 00:32:48 GMT",
"version": "v2"
},
{
"created": "Fri, 18 Jan 2008 16:39:42 GMT",
"version": "v3"
},
{
"created": "Tue, 12 Feb 2008 20:57:14 GMT",
"version": "v4"
},
{
"created": "Sat, 23 Feb 2008 21:28:00 GMT",
"version": "v5"
},
{
"created": "Mon, 7 Jul 2008 01:56:20 GMT",
"version": "v6"
},
{
"created": "Fri, 8 Aug 2008 15:32:28 GMT",
"version": "v7"
}
] |
2010-02-03
|
[
[
"Lee",
"Tae-Hun",
""
]
] |
The one-loop effective action for a $p$ brane embedded in a $D=p+2$ Minkowski spacetime in the static gauge is calculated. Rescaling the quantum fluctuation by $\sqrt{-g_0}$ evaluated on the background brane leads to the one-loop effective action expressed only in terms of infrared and ultraviolet divergent geometric scalars. After the infrared divergences are absorbed into the quantum fluctuation, there remains the finite number of ultraviolet divergences. This implies that the $D=p+2$ Poincar\'{e} symmetry and the $D=p+1$ general coordinate invariance are preserved in one-loop order.
| 7.194912
| 7.030817
| 6.802558
| 6.34719
| 6.739875
| 7.027383
| 6.61964
| 6.369753
| 6.331041
| 7.261919
| 6.232617
| 6.586672
| 6.666743
| 6.408826
| 6.572268
| 6.327899
| 6.405031
| 6.540939
| 6.49235
| 6.575614
| 6.310143
|
hep-th/9909177
|
Serguei Ketov
|
Sergei V. Ketov (YITP, Kyoto-U., and ITP, U. of Hannover)
|
Exact low-energy effective actions for hypermultiplets in four
dimensions
|
60 pages, LaTeX, macros included, references added
|
Int.J.Mod.Phys. A15 (2000) 2661-2714
|
10.1142/S0217751X00001270
|
YITP--99--58, ITP-UH-16/99 and DESY 99--142
|
hep-th
| null |
We consider the general hypermultiplet Low-Energy Effective Action (LEEA)
that may appear in quantized, four-dimensional, N=2 supersymmetric, gauge
theories, e.g. in the Coulomb and Higgs branches. Our main purpose is a
description of the exact LEEA of n magnetically charged hypermultiplets. The
hypermultiplet LEEA is given by the N=2 supersymmetric Non-Linear Sigma-Model
(NLSM) with a 4n-dimensional hyper-K"ahler metric, subject to non-anomalous
symmetries. Harmonic Superspace (HSS) and the NLSM isometries are very useful
to constrain the hyper-K"ahler geometry of the LEEA. We use N=2 supersymmetric
projections of HSS superfields to N=2 linear (tensor) O(2) and O(4) multiplets
in N=2 Projective Superspace (PSS) to deduce the explicit form of the LEEA in
some particular cases. As the by-product, a simple new classification of all
multi-monopole moduli space metrics having su(2)_R symmetry is proposed in
terms of real quartic polynomials of 2n variables, modulo Sp(n)
transformations. The 4d hypermultiplet LEEA for n=2 can be encoded in terms of
an elliptic curve.
|
[
{
"created": "Fri, 24 Sep 1999 06:10:32 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Oct 1999 09:52:00 GMT",
"version": "v2"
},
{
"created": "Wed, 3 Nov 1999 10:08:52 GMT",
"version": "v3"
},
{
"created": "Thu, 20 Jan 2000 19:39:41 GMT",
"version": "v4"
}
] |
2016-12-21
|
[
[
"Ketov",
"Sergei V.",
"",
"YITP, Kyoto-U., and ITP, U. of Hannover"
]
] |
We consider the general hypermultiplet Low-Energy Effective Action (LEEA) that may appear in quantized, four-dimensional, N=2 supersymmetric, gauge theories, e.g. in the Coulomb and Higgs branches. Our main purpose is a description of the exact LEEA of n magnetically charged hypermultiplets. The hypermultiplet LEEA is given by the N=2 supersymmetric Non-Linear Sigma-Model (NLSM) with a 4n-dimensional hyper-K"ahler metric, subject to non-anomalous symmetries. Harmonic Superspace (HSS) and the NLSM isometries are very useful to constrain the hyper-K"ahler geometry of the LEEA. We use N=2 supersymmetric projections of HSS superfields to N=2 linear (tensor) O(2) and O(4) multiplets in N=2 Projective Superspace (PSS) to deduce the explicit form of the LEEA in some particular cases. As the by-product, a simple new classification of all multi-monopole moduli space metrics having su(2)_R symmetry is proposed in terms of real quartic polynomials of 2n variables, modulo Sp(n) transformations. The 4d hypermultiplet LEEA for n=2 can be encoded in terms of an elliptic curve.
| 7.696128
| 7.601054
| 8.665367
| 7.472034
| 7.288768
| 7.581805
| 7.672678
| 7.45219
| 7.475764
| 9.017629
| 7.473906
| 7.72579
| 7.806344
| 7.501878
| 7.376267
| 7.544886
| 7.573637
| 7.460094
| 7.502919
| 8.051515
| 7.483614
|
hep-th/9206101
| null |
E. Bergshoeff and E. Sezgin
|
Self-Dual Supergravity Theories in 2+2 Dimensions
|
11 pages (TEX), UG-4/92 and CTP TAMU-46/92
|
Phys.Lett. B292 (1992) 87-92
|
10.1016/0370-2693(92)90612-8
| null |
hep-th
| null |
Starting from the new minimal multiplet of supergravity in $2+2$ dimensions,
we construct two types of self-dual supergravity theories. One of them involves
a self-duality condition on the Riemann curvature and implies the equations of
motion following from the Hilbert-Einstein type supergravity action. The other
one involves a self-duality condition on a {\it torsionful} Riemann curvature
with the torsion given by the field-strength of an antisymmetric tensor field,
and implies the equations of motion that follow from an $R^2$-type action.
|
[
{
"created": "Fri, 26 Jun 1992 18:19:00 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Bergshoeff",
"E.",
""
],
[
"Sezgin",
"E.",
""
]
] |
Starting from the new minimal multiplet of supergravity in $2+2$ dimensions, we construct two types of self-dual supergravity theories. One of them involves a self-duality condition on the Riemann curvature and implies the equations of motion following from the Hilbert-Einstein type supergravity action. The other one involves a self-duality condition on a {\it torsionful} Riemann curvature with the torsion given by the field-strength of an antisymmetric tensor field, and implies the equations of motion that follow from an $R^2$-type action.
| 5.961413
| 5.346455
| 5.812253
| 5.133218
| 5.519082
| 5.048854
| 5.313577
| 5.308555
| 5.113176
| 6.176188
| 5.241984
| 5.496993
| 5.775017
| 5.471774
| 5.371745
| 5.372464
| 5.491791
| 5.382253
| 5.41288
| 5.910542
| 5.335555
|
hep-th/0205236
|
Andreas Karch
|
Andreas Karch and Emanuel Katz
|
Adding flavor to AdS/CFT
|
14 pages, LaTeX; references added
|
JHEP 0206:043,2002
|
10.1088/1126-6708/2002/06/043
| null |
hep-th
| null |
Coupling fundamental quarks to QCD in the dual string representation
corresponds to adding the open string sector. Flavors therefore should be
represented by space-time filling D-branes in the dual 5d closed string
background. This requires several interesting properties of D-branes in AdS.
D-branes have to be able to end in thin air in order to account for massive
quarks, which only live in the UV region. They must come in distinct sets,
representing the chiral global symmetry, with a bifundamental field playing the
role of the chiral condensate. We show that these expectations are born out in
several supersymmetric examples. To analyze most of these properties it is not
necessary to go beyond the probe limit in which one neglects the backreaction
of the flavor D-branes.
|
[
{
"created": "Thu, 23 May 2002 00:46:53 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Jun 2002 00:49:20 GMT",
"version": "v2"
}
] |
2011-08-01
|
[
[
"Karch",
"Andreas",
""
],
[
"Katz",
"Emanuel",
""
]
] |
Coupling fundamental quarks to QCD in the dual string representation corresponds to adding the open string sector. Flavors therefore should be represented by space-time filling D-branes in the dual 5d closed string background. This requires several interesting properties of D-branes in AdS. D-branes have to be able to end in thin air in order to account for massive quarks, which only live in the UV region. They must come in distinct sets, representing the chiral global symmetry, with a bifundamental field playing the role of the chiral condensate. We show that these expectations are born out in several supersymmetric examples. To analyze most of these properties it is not necessary to go beyond the probe limit in which one neglects the backreaction of the flavor D-branes.
| 14.444888
| 13.117713
| 13.918233
| 11.474133
| 12.826955
| 13.236034
| 13.10387
| 12.110093
| 12.58391
| 15.887944
| 11.962816
| 12.095418
| 13.363597
| 12.410984
| 12.265514
| 12.353732
| 12.693451
| 12.472274
| 12.459379
| 13.235536
| 12.451298
|
1210.2718
|
Andreas Stergiou
|
Jean-Fran\c{c}ois Fortin, Benjam\'in Grinstein, Christopher W. Murphy,
Andreas Stergiou
|
On Limit Cycles in Supersymmetric Theories
|
8 pages, 1 figure. Improved discussion in Section 5
|
Phys.Lett.B719:170-173,2013
|
10.1016/j.physletb.2012.12.059
|
CERN-PH-TH/2012-258; SU-ITP-12/30; UCSD-PTH-12-13
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Contrary to popular belief conformality does not require zero beta functions.
This follows from the work of Jack and Osborn, and examples in
non-supersymmetric theories were recently found by some of us. In this note we
show that such examples are absent in unitary N=1 supersymmetric
four-dimensional field theories. More specifically, we show to all orders in
perturbation theory that the beta-function vector field of such theories does
not admit limit cycles. A corollary of our result is that unitary N=1
supersymmetric four-dimensional theories cannot be superscale-invariant without
being superconformal.
|
[
{
"created": "Tue, 9 Oct 2012 20:00:00 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Dec 2012 02:58:17 GMT",
"version": "v2"
}
] |
2013-01-29
|
[
[
"Fortin",
"Jean-François",
""
],
[
"Grinstein",
"Benjamín",
""
],
[
"Murphy",
"Christopher W.",
""
],
[
"Stergiou",
"Andreas",
""
]
] |
Contrary to popular belief conformality does not require zero beta functions. This follows from the work of Jack and Osborn, and examples in non-supersymmetric theories were recently found by some of us. In this note we show that such examples are absent in unitary N=1 supersymmetric four-dimensional field theories. More specifically, we show to all orders in perturbation theory that the beta-function vector field of such theories does not admit limit cycles. A corollary of our result is that unitary N=1 supersymmetric four-dimensional theories cannot be superscale-invariant without being superconformal.
| 9.591466
| 8.209483
| 9.177958
| 8.004572
| 9.131348
| 9.022479
| 8.299078
| 7.696029
| 7.57436
| 9.335564
| 8.439837
| 8.154896
| 8.256732
| 7.952755
| 8.501048
| 8.279812
| 8.348764
| 7.928302
| 7.891584
| 8.31402
| 8.061206
|
1809.05592
|
Aleksandrs Aleksejevs
|
A. Aleksejevs
|
Crossed Topology in Two-Loop Dispersive Approach
| null | null | null | null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We extend existing dispersive approach in subloop insertion to the case of
crossed two-loop box type topologies. Based on the ideas of the Feynman trick,
mass shift approach and dispersive representation of two-point
Passarino-Veltman function we expressed two-loop scalar diagrams in the compact
analytical form suitable for the automatization of the calculations. The
results are expressed in a way that the numerical integration over Feynman and
dispersive parameters and differentiation with respect to mass shift parameters
are required in the final stage only.
|
[
{
"created": "Fri, 14 Sep 2018 21:20:36 GMT",
"version": "v1"
}
] |
2018-09-18
|
[
[
"Aleksejevs",
"A.",
""
]
] |
We extend existing dispersive approach in subloop insertion to the case of crossed two-loop box type topologies. Based on the ideas of the Feynman trick, mass shift approach and dispersive representation of two-point Passarino-Veltman function we expressed two-loop scalar diagrams in the compact analytical form suitable for the automatization of the calculations. The results are expressed in a way that the numerical integration over Feynman and dispersive parameters and differentiation with respect to mass shift parameters are required in the final stage only.
| 20.952291
| 23.564299
| 19.951935
| 18.430542
| 22.591597
| 22.154207
| 20.347219
| 20.234337
| 19.686367
| 20.776939
| 20.360409
| 20.159651
| 18.372562
| 18.513985
| 20.644249
| 20.834791
| 19.468962
| 18.563229
| 17.82737
| 18.591837
| 19.513454
|
1812.10074
|
Mykola Stetsko
|
M. M. Stetsko
|
Topological black hole in the theory with nonminimal derivative coupling
with power-law Maxwell field and its thermodynamics
|
32 pages, 6 figures
|
Phys. Rev. D 99, 044028 (2019)
|
10.1103/PhysRevD.99.044028
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We obtain topological black hole solutions in scalar-tensor gravity with
nonminimal derivative coupling between scalar and tensor components of gravity
and power-law Maxwell field minimally coupled to gravity. The obtained
solutions can be treated as a generalization of previously derived charged
solutions with standard Maxwell action \cite{Feng_PRD16}. We examine the
behaviour of obtained metric functions for some asymptotic values of distance
and coupling. To obtain information about singularities of the metrics we
calculate Kretschmann scalar. We also examine the behaviour of gauge potential
and show that it is necessary to impose some constraints on parameter of
nonlinearity in order to obtain reasonable behaviour of the filed. The next
part of our work is devoted to the examination of black hole's thermodynamics.
Namely we obtain black hole's temperature and investigate it in general as well
as in some particular cases. To introduce entropy we use well known Wald
procedure which can be applied to quite general diffeomorphism-invariant
theories. We also extend thermodynamic phase space by introducing thermodynamic
pressure related to cosmological constant and as a result we derive generalized
first law and Smarr relation. The extended thermodynamic variables also allow
us to construct Gibbs free energy and its examination gives important
information about thermodynamic stability and phase transitions. We also
calculate heat capacity of the black holes which demonstrates variety of
behaviour for different values of allowed parameters.
|
[
{
"created": "Tue, 25 Dec 2018 09:16:36 GMT",
"version": "v1"
}
] |
2019-02-20
|
[
[
"Stetsko",
"M. M.",
""
]
] |
We obtain topological black hole solutions in scalar-tensor gravity with nonminimal derivative coupling between scalar and tensor components of gravity and power-law Maxwell field minimally coupled to gravity. The obtained solutions can be treated as a generalization of previously derived charged solutions with standard Maxwell action \cite{Feng_PRD16}. We examine the behaviour of obtained metric functions for some asymptotic values of distance and coupling. To obtain information about singularities of the metrics we calculate Kretschmann scalar. We also examine the behaviour of gauge potential and show that it is necessary to impose some constraints on parameter of nonlinearity in order to obtain reasonable behaviour of the filed. The next part of our work is devoted to the examination of black hole's thermodynamics. Namely we obtain black hole's temperature and investigate it in general as well as in some particular cases. To introduce entropy we use well known Wald procedure which can be applied to quite general diffeomorphism-invariant theories. We also extend thermodynamic phase space by introducing thermodynamic pressure related to cosmological constant and as a result we derive generalized first law and Smarr relation. The extended thermodynamic variables also allow us to construct Gibbs free energy and its examination gives important information about thermodynamic stability and phase transitions. We also calculate heat capacity of the black holes which demonstrates variety of behaviour for different values of allowed parameters.
| 10.176406
| 9.94327
| 10.743742
| 9.512933
| 10.526114
| 10.034449
| 9.351321
| 9.983831
| 9.645248
| 10.771889
| 9.851673
| 9.878093
| 9.802307
| 9.686082
| 9.875644
| 9.850519
| 10.13504
| 9.627461
| 9.820762
| 9.956676
| 9.84718
|
hep-th/9308120
|
Christof Schmidhuber
|
Christof Schmidhuber
|
Running Coupling Constants in 2D Gravity
|
talk given at strings '93. 4 pages with 2 figures
| null | null | null |
hep-th
| null |
The renormalization group flow in two--dimensional field theories that are
coupled to gravity is discussed at the example of the sine-Gordon model. In
order to derive the phase diagram in agreement with the matrix model results,
it is necessary to generalize the theory of David, Distler and Kawai.
|
[
{
"created": "Thu, 26 Aug 1993 15:02:47 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Schmidhuber",
"Christof",
""
]
] |
The renormalization group flow in two--dimensional field theories that are coupled to gravity is discussed at the example of the sine-Gordon model. In order to derive the phase diagram in agreement with the matrix model results, it is necessary to generalize the theory of David, Distler and Kawai.
| 10.548584
| 8.119482
| 11.791314
| 8.696933
| 8.223211
| 8.597661
| 8.313218
| 7.534293
| 7.980902
| 10.839223
| 8.014113
| 9.212738
| 10.799388
| 9.152411
| 9.810869
| 9.134583
| 9.27905
| 9.225099
| 9.102888
| 10.912704
| 9.111847
|
hep-th/0302147
|
Pietro Antonio Grassi
|
P.A. Grassi (YITP, Stony Brook), G. Policastro (DAMPT, Cambridge) and
P. van Nieuwenhuizen (YITP, Stony Brook)
|
An Introduction to the Covariant Quantization of Superstrings
|
LaTex, 23 pp. Contribution to the Proceedings of the Workshop in
String Theory, Leuven 2002, some references added and a comment on ref. [16]
|
Class.Quant.Grav. 20 (2003) S395-S410
|
10.1088/0264-9381/20/12/304
| null |
hep-th
| null |
We give an introduction to a new approach to the covariant quantization of
superstrings. After a brief review of the classical Green--Schwarz superstring
and Berkovits' approach to its quantization based on pure spinors, we discuss
our covariant formulation without pure spinor constraints. We discuss the
relation between the concept of grading, which we introduced to define vertex
operators, and homological perturbation theory, and we compare our work with
recent work by others. In the appendices, we include some background material
for the Green-Schwarz and Berkovits formulations, in order that this
presentation be self contained.
|
[
{
"created": "Tue, 18 Feb 2003 22:56:19 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Dec 2003 16:23:19 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Grassi",
"P. A.",
"",
"YITP, Stony Brook"
],
[
"Policastro",
"G.",
"",
"DAMPT, Cambridge"
],
[
"van Nieuwenhuizen",
"P.",
"",
"YITP, Stony Brook"
]
] |
We give an introduction to a new approach to the covariant quantization of superstrings. After a brief review of the classical Green--Schwarz superstring and Berkovits' approach to its quantization based on pure spinors, we discuss our covariant formulation without pure spinor constraints. We discuss the relation between the concept of grading, which we introduced to define vertex operators, and homological perturbation theory, and we compare our work with recent work by others. In the appendices, we include some background material for the Green-Schwarz and Berkovits formulations, in order that this presentation be self contained.
| 8.079988
| 6.534009
| 8.758842
| 6.955041
| 6.420422
| 6.457135
| 6.569271
| 7.022496
| 7.03949
| 9.153852
| 6.913398
| 7.254466
| 7.958396
| 7.320686
| 7.570004
| 7.255181
| 7.53245
| 7.482146
| 7.424321
| 7.956249
| 7.408692
|
hep-th/0510008
|
S. Kalyana Rama
|
S. Kalyana Rama
|
Branes in a Time Dependent Universe
|
16 pages. Version 2, 3: References added
| null | null |
IMSc/2005/09/22
|
hep-th astro-ph gr-qc
| null |
Long ago, McVittie had found a class of solutions which can be thought of as
Schwarzschild black holes in an FRW universe. In recent years they have been
studied extensively and generalised to charged and uncharged black holes in D
\ge 4 dimensions also. Here, assuming an ansatz similar to McVittie's, we
present solutions for uncharged branes which can be thought of as branes in a
time dependent universe. We consider their application to the brane antibrane
decay process, also referred to as tachyon condensation, and discuss the
necessary generalisations required for our ansatz to describe such a process.
|
[
{
"created": "Mon, 3 Oct 2005 07:16:42 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Oct 2005 11:54:36 GMT",
"version": "v2"
},
{
"created": "Mon, 17 Oct 2005 05:50:34 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Rama",
"S. Kalyana",
""
]
] |
Long ago, McVittie had found a class of solutions which can be thought of as Schwarzschild black holes in an FRW universe. In recent years they have been studied extensively and generalised to charged and uncharged black holes in D \ge 4 dimensions also. Here, assuming an ansatz similar to McVittie's, we present solutions for uncharged branes which can be thought of as branes in a time dependent universe. We consider their application to the brane antibrane decay process, also referred to as tachyon condensation, and discuss the necessary generalisations required for our ansatz to describe such a process.
| 10.29761
| 9.199652
| 9.258438
| 9.122059
| 8.397807
| 8.705402
| 8.770969
| 8.579986
| 8.460292
| 9.525095
| 8.434765
| 8.621438
| 8.6905
| 8.596427
| 8.53339
| 8.837465
| 8.461745
| 8.494081
| 8.428564
| 9.177674
| 8.655783
|
hep-th/9306031
| null |
Jonathan Underwood
|
On the Topological Charges of Affine Toda Solitons
|
6 pages, Imperial/TP/92-93/38
| null | null | null |
hep-th
| null |
We provide a proof of a formula conjectured in \cite{OU93} for some
coefficients relevant in the principal vertex operator construction of a
simply-laced affine algebra $\gh$. These coefficients are important for the
study of the topological charges of the solitons of affine Toda theories, and
the construction of representations of non-simply-laced $\gh$ and their
associated Toda solitons.
|
[
{
"created": "Fri, 4 Jun 1993 19:22:07 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Underwood",
"Jonathan",
""
]
] |
We provide a proof of a formula conjectured in \cite{OU93} for some coefficients relevant in the principal vertex operator construction of a simply-laced affine algebra $\gh$. These coefficients are important for the study of the topological charges of the solitons of affine Toda theories, and the construction of representations of non-simply-laced $\gh$ and their associated Toda solitons.
| 12.874682
| 11.179621
| 13.702242
| 10.462655
| 14.339213
| 11.989759
| 12.104779
| 11.997543
| 10.815871
| 14.574287
| 11.209671
| 11.710121
| 12.909397
| 11.877254
| 12.104531
| 12.314877
| 12.073999
| 11.938487
| 11.697564
| 13.056876
| 11.434437
|
1811.10616
|
Lakshya Bhardwaj
|
Lakshya Bhardwaj, Patrick Jefferson
|
Classifying 5d SCFTs via 6d SCFTs: Arbitrary rank
|
83 pages, v2: references and typos corrected, the mathematica file
"Pushforward.nb" now attached as an ancillary file v3: Geometries for
SO(11,12), F_4 corrected. Gluing rules for Sp---SO(odd) corrected. Missing
SU(3)+SU(3) E-string gluing added v4: References and clarifications
| null |
10.1007/JHEP10(2019)282
| null |
hep-th math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
According to a conjecture, all 5d SCFTs should be obtainable by
rank-preserving RG flows of 6d SCFTs compactified on a circle possibly twisted
by a background for the discrete global symmetries around the circle. For a 6d
SCFT admitting an F-theory construction, its untwisted compactification admits
a dual M-theory description in terms of a "parent" Calabi-Yau threefold which
captures the Coulomb branch of the compactified 6d SCFT. The RG flows to 5d
SCFTs can then be identified with a sequence of flop transitions and blowdowns
of the parent Calabi-Yau leading to "descendant" Calabi-Yau threefolds which
describe the Coulomb branches of the resulting 5d SCFTs. An explicit
description of parent Calabi-Yaus is known for untwisted compactifications of
rank one 6d SCFTs. In this paper, we provide a description of parent
Calabi-Yaus for untwisted compactifications of arbitrary rank 6d SCFTs. Since
6d SCFTs of arbitrary rank can be viewed as being constructed out of rank one
SCFTs, we accomplish the extension to arbitrary rank by identifying a
prescription for gluing together Calabi-Yaus associated to rank one 6d SCFTs.
|
[
{
"created": "Mon, 26 Nov 2018 19:00:00 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Dec 2018 04:47:44 GMT",
"version": "v2"
},
{
"created": "Fri, 7 Jun 2019 02:55:32 GMT",
"version": "v3"
},
{
"created": "Sun, 6 Oct 2019 02:24:12 GMT",
"version": "v4"
}
] |
2020-01-08
|
[
[
"Bhardwaj",
"Lakshya",
""
],
[
"Jefferson",
"Patrick",
""
]
] |
According to a conjecture, all 5d SCFTs should be obtainable by rank-preserving RG flows of 6d SCFTs compactified on a circle possibly twisted by a background for the discrete global symmetries around the circle. For a 6d SCFT admitting an F-theory construction, its untwisted compactification admits a dual M-theory description in terms of a "parent" Calabi-Yau threefold which captures the Coulomb branch of the compactified 6d SCFT. The RG flows to 5d SCFTs can then be identified with a sequence of flop transitions and blowdowns of the parent Calabi-Yau leading to "descendant" Calabi-Yau threefolds which describe the Coulomb branches of the resulting 5d SCFTs. An explicit description of parent Calabi-Yaus is known for untwisted compactifications of rank one 6d SCFTs. In this paper, we provide a description of parent Calabi-Yaus for untwisted compactifications of arbitrary rank 6d SCFTs. Since 6d SCFTs of arbitrary rank can be viewed as being constructed out of rank one SCFTs, we accomplish the extension to arbitrary rank by identifying a prescription for gluing together Calabi-Yaus associated to rank one 6d SCFTs.
| 4.515132
| 4.376975
| 5.437263
| 4.375318
| 4.551006
| 4.260025
| 4.309934
| 4.308557
| 4.431528
| 5.45333
| 4.347527
| 4.185923
| 4.530185
| 4.322744
| 4.415648
| 4.237935
| 4.169662
| 4.229732
| 4.330168
| 4.620202
| 4.225724
|
1012.1280
|
Simon Gentle A
|
Daniel K. Brattan and Simon A. Gentle
|
Shear channel correlators from hot charged black holes
|
16 pages, 8 figures. Animations available from
http://www.maths.dur.ac.uk/~rcqn58/research.html . v2: references added. v3:
published version, appendices added
|
JHEP 1104:082,2011
|
10.1007/JHEP04(2011)082
|
DCPT-10/69
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute numerically the full retarded Green's functions for conserved
currents in the shear channel of a (2+1)-dimensional field theory at non-zero
temperature and density. This theory is assumed to be holographically dual to a
non-extremal, electric Reissner-Nordstr\om AdS4 black hole with planar horizon.
Using the holographic description we obtain results for arbitrary frequencies
and momenta and survey the detailed structure of these correlators. In
particular, we demonstrate the `repulsion' and `clover-leaf crossing' of their
poles and stress the importance of the residues at the poles beyond the
hydrodynamic regime. As a consistency check, we show that our results agree
precisely with existing literature for the appropriate quasinormal frequencies
of the bulk theory.
|
[
{
"created": "Mon, 6 Dec 2010 18:54:43 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Dec 2010 09:06:40 GMT",
"version": "v2"
},
{
"created": "Mon, 30 May 2011 08:48:57 GMT",
"version": "v3"
}
] |
2011-09-21
|
[
[
"Brattan",
"Daniel K.",
""
],
[
"Gentle",
"Simon A.",
""
]
] |
We compute numerically the full retarded Green's functions for conserved currents in the shear channel of a (2+1)-dimensional field theory at non-zero temperature and density. This theory is assumed to be holographically dual to a non-extremal, electric Reissner-Nordstr\om AdS4 black hole with planar horizon. Using the holographic description we obtain results for arbitrary frequencies and momenta and survey the detailed structure of these correlators. In particular, we demonstrate the `repulsion' and `clover-leaf crossing' of their poles and stress the importance of the residues at the poles beyond the hydrodynamic regime. As a consistency check, we show that our results agree precisely with existing literature for the appropriate quasinormal frequencies of the bulk theory.
| 10.964046
| 10.532413
| 11.385384
| 10.144361
| 10.580654
| 10.619486
| 9.833505
| 9.855542
| 10.287465
| 13.719632
| 9.585207
| 10.225324
| 11.153799
| 10.008387
| 10.416424
| 9.938554
| 10.315677
| 10.155821
| 10.001746
| 11.064024
| 10.567566
|
0704.0444
|
Jacob Bourjaily
|
Jacob L. Bourjaily
|
Multiple Unfoldings of Orbifold Singularities: Engineering Geometric
Analogies to Unification
|
4 pages, 2 figures.
| null |
10.1103/PhysRevD.79.046005
| null |
hep-th
| null |
Katz and Vafa showed how charged matter can arise geometrically by the
deformation of ADE-type orbifold singularities in type IIa, M-theory, and
F-theory compactifications. In this paper we use those same basic ingredients,
used there to geometrically engineer specific matter representations, here to
deform the compactification manifold itself in a way which naturally
compliments many features of unified model building. We realize this idea
explicitly by deforming a manifold engineered to give rise to an $SU_5$ grand
unified model into a one giving rise to the Standard Model. In this framework,
the relative local positions of the singularities giving rise to Standard Model
fields are specified in terms of the values of a small number of complex
structure moduli which deform the original manifold, greatly reducing the
arbitrariness of their relative positions.
|
[
{
"created": "Tue, 3 Apr 2007 17:21:39 GMT",
"version": "v1"
}
] |
2013-05-29
|
[
[
"Bourjaily",
"Jacob L.",
""
]
] |
Katz and Vafa showed how charged matter can arise geometrically by the deformation of ADE-type orbifold singularities in type IIa, M-theory, and F-theory compactifications. In this paper we use those same basic ingredients, used there to geometrically engineer specific matter representations, here to deform the compactification manifold itself in a way which naturally compliments many features of unified model building. We realize this idea explicitly by deforming a manifold engineered to give rise to an $SU_5$ grand unified model into a one giving rise to the Standard Model. In this framework, the relative local positions of the singularities giving rise to Standard Model fields are specified in terms of the values of a small number of complex structure moduli which deform the original manifold, greatly reducing the arbitrariness of their relative positions.
| 14.128302
| 12.785046
| 16.37232
| 13.804031
| 12.820897
| 13.68284
| 13.900081
| 13.117285
| 13.364705
| 16.292656
| 13.048707
| 12.712186
| 12.923597
| 12.692722
| 12.920828
| 12.906289
| 12.621237
| 12.913364
| 12.677564
| 13.345276
| 13.820635
|
hep-th/9804187
|
S. C. Hahn
|
Stephen C. Hahn and G. S. Guralnik
|
Numerical Field Theory on the Continuum
|
13 pages, 8 figures, LaTeX 2e
| null | null |
HET-1120, TA-558
|
hep-th hep-lat physics.comp-ph
| null |
An approach to calculating approximate solutions to the continuum
Schwinger-Dyson equations is outlined, with examples for \phi^4 in D=1. This
approach is based on the source Galerkin methods developed by Garcia, Guralnik
and Lawson. Numerical issues and opportunities for future calculations are also
discussed briefly.
|
[
{
"created": "Tue, 28 Apr 1998 21:03:45 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Hahn",
"Stephen C.",
""
],
[
"Guralnik",
"G. S.",
""
]
] |
An approach to calculating approximate solutions to the continuum Schwinger-Dyson equations is outlined, with examples for \phi^4 in D=1. This approach is based on the source Galerkin methods developed by Garcia, Guralnik and Lawson. Numerical issues and opportunities for future calculations are also discussed briefly.
| 20.757181
| 17.951624
| 18.309135
| 15.853928
| 20.694242
| 21.83975
| 20.536551
| 15.762875
| 17.796539
| 22.745758
| 16.808571
| 17.611712
| 18.24033
| 17.284912
| 17.702896
| 18.382303
| 18.329254
| 17.678223
| 17.740213
| 18.835363
| 18.469448
|
1907.04177
|
Adolfo Guarino
|
Adolfo Guarino and Colin Sterckx
|
S-folds and (non-)supersymmetric Janus solutions
|
27 pages, 1 table. v2: minor corrections, typos fixed and new section
added with a summary of results. To appear in JHEP
| null |
10.1007/JHEP12(2019)113
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The S-fold description of Janus-type solutions of type IIB supergravity is
investigated. This is done by first studying a $\,\textrm{U}(1) \times
\textrm{U}(1)\,$ invariant sector of the four-dimensional dyonically-gauged
$\,{[\,\textrm{SO}(1,1) \times \textrm{SO}(6)\,] \ltimes \mathbb{R}^{12}}\,$
maximal supergravity that arises upon reduction of type IIB supergravity on
$\,\mathbb{R} \, \times \, \textrm{S}^{5}\,$. Two AdS$_{4}$ solutions
preserving $\,\textrm{SU}(3)\,$ and $\,\textrm{SO}(6)\,$ gauge symmetry
together with $\,\mathcal{N}=1\,$ and $\,\mathcal{N}=0\,$ supersymmetry are
found within this sector. Fetching techniques from the E$_{7(7)}$ exceptional
field theory, these solutions are uplifted to ten-dimensional S-folds of type
IIB Janus-type solutions of the form $\,\textrm{AdS}_{4} \times \mathbb{R}
\times \textrm{M}_{5}\,$. The solutions presented here are natural candidates
for the holographic duals of three-dimensional $\,\mathcal{N}=1\,$ and
$\,\mathcal{N}=0\,$ interface super-Yang--Mills theories with
$\,\textrm{SU}(3)\,$ and $\,\textrm{SU}(4)\,$ internal symmetry.
|
[
{
"created": "Tue, 9 Jul 2019 14:15:10 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Nov 2019 14:43:29 GMT",
"version": "v2"
}
] |
2020-01-29
|
[
[
"Guarino",
"Adolfo",
""
],
[
"Sterckx",
"Colin",
""
]
] |
The S-fold description of Janus-type solutions of type IIB supergravity is investigated. This is done by first studying a $\,\textrm{U}(1) \times \textrm{U}(1)\,$ invariant sector of the four-dimensional dyonically-gauged $\,{[\,\textrm{SO}(1,1) \times \textrm{SO}(6)\,] \ltimes \mathbb{R}^{12}}\,$ maximal supergravity that arises upon reduction of type IIB supergravity on $\,\mathbb{R} \, \times \, \textrm{S}^{5}\,$. Two AdS$_{4}$ solutions preserving $\,\textrm{SU}(3)\,$ and $\,\textrm{SO}(6)\,$ gauge symmetry together with $\,\mathcal{N}=1\,$ and $\,\mathcal{N}=0\,$ supersymmetry are found within this sector. Fetching techniques from the E$_{7(7)}$ exceptional field theory, these solutions are uplifted to ten-dimensional S-folds of type IIB Janus-type solutions of the form $\,\textrm{AdS}_{4} \times \mathbb{R} \times \textrm{M}_{5}\,$. The solutions presented here are natural candidates for the holographic duals of three-dimensional $\,\mathcal{N}=1\,$ and $\,\mathcal{N}=0\,$ interface super-Yang--Mills theories with $\,\textrm{SU}(3)\,$ and $\,\textrm{SU}(4)\,$ internal symmetry.
| 3.507463
| 3.359861
| 4.312576
| 3.19411
| 3.218262
| 3.228585
| 3.312993
| 3.153752
| 3.225078
| 4.369714
| 3.243776
| 3.435459
| 3.6912
| 3.424974
| 3.384259
| 3.369603
| 3.417918
| 3.381166
| 3.465046
| 3.694291
| 3.443568
|
2004.10730
|
Athanasios Chatzistavrakidis
|
Athanasios Chatzistavrakidis, Georgios Karagiannis, Peter Schupp
|
Graded Geometry and Tensor Gauge Theories
|
12 pages; contribution to the proceedings of the EISA Conference on
Recent Developments in Strings and Gravity, 10-16 September 2019, Corfu; v2:
references added
| null | null |
RBI-ThPhys-2020-11
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review the construction of Lagrangians for higher spin fields of mixed
symmetry in the framework of graded geometry. The main advantage of the graded
formalism in this context is that it provides universal expressions, in the
sense that a given Lagrangian describes the dynamics of any type of bosonic
tensor field even though the corresponding explicit expressions in terms of
local field components and their derivatives look rather different. Aside from
free fields and their kinetic terms, we also consider higher derivative
interaction terms that lead to second order field equations. For scalars,
differential forms and bipartite tensors, these are identified with Galileon
theories, written in a simple yet elegant form as a generalised kinetic term,
and are gauge invariant by construction. For fields of spin higher than 2, we
illustrate the candidate Galileon-like interactions and argue that full gauge
invariance and locality cannot be simultaneously maintained.
|
[
{
"created": "Wed, 22 Apr 2020 17:33:44 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Jun 2024 10:12:43 GMT",
"version": "v2"
}
] |
2024-06-11
|
[
[
"Chatzistavrakidis",
"Athanasios",
""
],
[
"Karagiannis",
"Georgios",
""
],
[
"Schupp",
"Peter",
""
]
] |
We review the construction of Lagrangians for higher spin fields of mixed symmetry in the framework of graded geometry. The main advantage of the graded formalism in this context is that it provides universal expressions, in the sense that a given Lagrangian describes the dynamics of any type of bosonic tensor field even though the corresponding explicit expressions in terms of local field components and their derivatives look rather different. Aside from free fields and their kinetic terms, we also consider higher derivative interaction terms that lead to second order field equations. For scalars, differential forms and bipartite tensors, these are identified with Galileon theories, written in a simple yet elegant form as a generalised kinetic term, and are gauge invariant by construction. For fields of spin higher than 2, we illustrate the candidate Galileon-like interactions and argue that full gauge invariance and locality cannot be simultaneously maintained.
| 12.616517
| 14.059391
| 13.90491
| 12.109173
| 13.299886
| 13.389647
| 14.314961
| 12.867757
| 12.291761
| 15.16731
| 11.825345
| 12.362445
| 12.321481
| 12.380024
| 12.529316
| 12.390935
| 12.105138
| 11.972526
| 12.426567
| 13.273191
| 11.828119
|
2005.11646
|
Ehsan Hatefi
|
Ehsan Hatefi, Eleonora Vanzan
|
On Higher Dimensional Self-Similar Axion-Dilaton Solutions
|
V4: 25 pages, typos corrected and published version in EPJC
|
Eur.Phys.J. C80 (2020) 10, 952
|
10.1140/epjc/s10052-020-08526-2
| null |
hep-th gr-qc hep-ph math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that solutions of the self-similar gravitational collapse in the
Einstein-axion-dilaton system exist in higher dimensional spacetimes. These
solutions are invariant under spacetime dilation combined with internal SL(2,R)
transformations. We rely on the recent setup and use it for the three different
conjugacy classes (elliptic, parabolic and hyperbolic) in higher dimensions.
Lastly, we identify new families of physically distinguishable self-similar
solutions for all three conjugacy classes in six and seven dimensions.
|
[
{
"created": "Sun, 24 May 2020 03:11:32 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Jul 2020 21:59:55 GMT",
"version": "v2"
},
{
"created": "Sat, 3 Oct 2020 12:53:02 GMT",
"version": "v3"
},
{
"created": "Sat, 12 Feb 2022 15:14:42 GMT",
"version": "v4"
}
] |
2022-02-15
|
[
[
"Hatefi",
"Ehsan",
""
],
[
"Vanzan",
"Eleonora",
""
]
] |
We show that solutions of the self-similar gravitational collapse in the Einstein-axion-dilaton system exist in higher dimensional spacetimes. These solutions are invariant under spacetime dilation combined with internal SL(2,R) transformations. We rely on the recent setup and use it for the three different conjugacy classes (elliptic, parabolic and hyperbolic) in higher dimensions. Lastly, we identify new families of physically distinguishable self-similar solutions for all three conjugacy classes in six and seven dimensions.
| 11.773206
| 9.773341
| 10.584143
| 9.367907
| 9.43558
| 9.166286
| 10.098135
| 9.067858
| 10.93685
| 10.930267
| 10.096459
| 10.393296
| 10.779909
| 10.806347
| 10.386256
| 10.398139
| 10.164263
| 10.247832
| 10.600123
| 10.478312
| 10.605813
|
hep-th/0003153
|
W. F. Kao
|
W.F. Kao
|
Kaluza-Klein Induced Gravity Inflation
|
10 pages, title changed, corrected some typos, two additional
comments added
|
Phys.Rev. D62 (2000) 084009
|
10.1103/PhysRevD.62.084009
| null |
hep-th gr-qc
| null |
A D-dimensional induced gravity theory is studied carefully in a $4 + (D-4)$
dimensional Friedmann-Robertson-Walker space-time. We try to extract
information of the symmetry breaking potential in search of an inflationary
solution with non-expanding internal-space. We find that the induced gravity
model imposes strong constraints on the form of symmetry breaking potential in
order to generate an acceptable inflationary universe. These constraints are
analyzed carefully in this paper.
|
[
{
"created": "Fri, 17 Mar 2000 15:51:00 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Mar 2000 15:28:37 GMT",
"version": "v2"
},
{
"created": "Sat, 29 Apr 2000 09:50:22 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Kao",
"W. F.",
""
]
] |
A D-dimensional induced gravity theory is studied carefully in a $4 + (D-4)$ dimensional Friedmann-Robertson-Walker space-time. We try to extract information of the symmetry breaking potential in search of an inflationary solution with non-expanding internal-space. We find that the induced gravity model imposes strong constraints on the form of symmetry breaking potential in order to generate an acceptable inflationary universe. These constraints are analyzed carefully in this paper.
| 12.870362
| 11.7352
| 10.307253
| 10.488184
| 10.427958
| 11.018682
| 11.014035
| 11.100425
| 9.902572
| 9.781299
| 10.93469
| 11.44798
| 10.658155
| 10.425026
| 10.329763
| 10.817117
| 11.038036
| 10.552189
| 10.620315
| 10.806884
| 10.935654
|
1409.1599
|
Kei-Ichi Kondo
|
Kei-Ichi Kondo, Seikou Kato, Akihiro Shibata, and Toru Shinohara
|
Quark confinement: dual superconductor picture based on a non-Abelian
Stokes theorem and reformulations of Yang-Mills theory
|
304 pages; 62 figures and 13 tables; a version published in Physics
Reports, including corrections of errors in v2
| null |
10.1016/j.physrep.2015.03.002
|
CHIBA-EP-209, KEK Preprint 2014-23
|
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The purpose of this paper is to review the recent progress in understanding
quark confinement. The emphasis of this review is placed on how to obtain a
manifestly gauge-independent picture for quark confinement supporting the dual
superconductivity in the Yang-Mills theory, which should be compared with the
Abelian projection proposed by 't Hooft. The basic tools are novel
reformulations of the Yang-Mills theory based on change of variables extending
the decomposition of the $SU(N)$ Yang-Mills field due to Cho, Duan-Ge and
Faddeev-Niemi, together with the combined use of extended versions of the
Diakonov-Petrov version of the non-Abelian Stokes theorem for the $SU(N)$
Wilson loop operator. Moreover, we give the lattice gauge theoretical versions
of the reformulation of the Yang-Mills theory which enables us to perform the
numerical simulations on the lattice. In fact, we present some numerical
evidences for supporting the dual superconductivity for quark confinement. The
numerical simulations include the derivation of the linear potential for static
interquark potential, i.e., non-vanishing string tension, in which the
"Abelian" dominance and magnetic monopole dominance are established,
confirmation of the dual Meissner effect by measuring the chromoelectric flux
tube between quark-antiquark pair, the induced magnetic-monopole current, and
the type of dual superconductivity, etc. In addition, we give a direct
connection between the topological configuration of the Yang-Mills field such
as instantons/merons and the magnetic monopole.
|
[
{
"created": "Thu, 4 Sep 2014 20:35:22 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Mar 2015 02:23:04 GMT",
"version": "v2"
},
{
"created": "Tue, 26 May 2015 03:37:50 GMT",
"version": "v3"
}
] |
2015-06-11
|
[
[
"Kondo",
"Kei-Ichi",
""
],
[
"Kato",
"Seikou",
""
],
[
"Shibata",
"Akihiro",
""
],
[
"Shinohara",
"Toru",
""
]
] |
The purpose of this paper is to review the recent progress in understanding quark confinement. The emphasis of this review is placed on how to obtain a manifestly gauge-independent picture for quark confinement supporting the dual superconductivity in the Yang-Mills theory, which should be compared with the Abelian projection proposed by 't Hooft. The basic tools are novel reformulations of the Yang-Mills theory based on change of variables extending the decomposition of the $SU(N)$ Yang-Mills field due to Cho, Duan-Ge and Faddeev-Niemi, together with the combined use of extended versions of the Diakonov-Petrov version of the non-Abelian Stokes theorem for the $SU(N)$ Wilson loop operator. Moreover, we give the lattice gauge theoretical versions of the reformulation of the Yang-Mills theory which enables us to perform the numerical simulations on the lattice. In fact, we present some numerical evidences for supporting the dual superconductivity for quark confinement. The numerical simulations include the derivation of the linear potential for static interquark potential, i.e., non-vanishing string tension, in which the "Abelian" dominance and magnetic monopole dominance are established, confirmation of the dual Meissner effect by measuring the chromoelectric flux tube between quark-antiquark pair, the induced magnetic-monopole current, and the type of dual superconductivity, etc. In addition, we give a direct connection between the topological configuration of the Yang-Mills field such as instantons/merons and the magnetic monopole.
| 4.207685
| 5.992563
| 6.538341
| 5.601488
| 6.295493
| 5.704888
| 5.724674
| 5.741281
| 5.968824
| 7.021268
| 5.627607
| 5.35873
| 5.005993
| 4.776538
| 5.312037
| 5.208367
| 5.197206
| 4.978596
| 5.129824
| 5.197944
| 4.883222
|
2006.13149
|
Kenta Suzuki
|
Sumit R. Das, Animik Ghosh, Antal Jevicki, Kenta Suzuki
|
Near Conformal Perturbation Theory in SYK Type Models
|
54 pages, 4 figures
| null |
10.1007/JHEP12(2020)171
| null |
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a systematic procedure to extract the dynamics of the low energy
soft mode in SYK type models with a single energy scale $J$ and emergent
reparametrization symmetry in the IR. This is given in the framework of the
perturbation theory scheme of arXiv:1608.07567 based on specific (off-shell)
breaking of conformal invariance in the UV, adjusted to yield the exact
large-$N$ saddle point. While this breaking formally vanishes on-shell, it has
a non-trivial effect on correlation functions and the effective action. In
particular, it leads to the Schwarzian action with a specific coupling to
bi-local matter. The method is applied to the evaluation of $O(1)$ corrections
to the correlation function of bi-locals. As a byproduct we confirm precise
agreement with the explicit, symmetry breaking procedure. We provide a
verification in the large $q$ limit (Liouville theory), where the correlators
can be calculated exactly at all length scales. In this case, our scheme
illuminates how the enhanced $O(J)$ and the subleading $O(1)$ contributions
originate from the Schwarzian dynamics of the soft mode and its interaction
with $h=2$ (bi-local) matter.
|
[
{
"created": "Tue, 23 Jun 2020 16:45:24 GMT",
"version": "v1"
}
] |
2021-02-03
|
[
[
"Das",
"Sumit R.",
""
],
[
"Ghosh",
"Animik",
""
],
[
"Jevicki",
"Antal",
""
],
[
"Suzuki",
"Kenta",
""
]
] |
We present a systematic procedure to extract the dynamics of the low energy soft mode in SYK type models with a single energy scale $J$ and emergent reparametrization symmetry in the IR. This is given in the framework of the perturbation theory scheme of arXiv:1608.07567 based on specific (off-shell) breaking of conformal invariance in the UV, adjusted to yield the exact large-$N$ saddle point. While this breaking formally vanishes on-shell, it has a non-trivial effect on correlation functions and the effective action. In particular, it leads to the Schwarzian action with a specific coupling to bi-local matter. The method is applied to the evaluation of $O(1)$ corrections to the correlation function of bi-locals. As a byproduct we confirm precise agreement with the explicit, symmetry breaking procedure. We provide a verification in the large $q$ limit (Liouville theory), where the correlators can be calculated exactly at all length scales. In this case, our scheme illuminates how the enhanced $O(J)$ and the subleading $O(1)$ contributions originate from the Schwarzian dynamics of the soft mode and its interaction with $h=2$ (bi-local) matter.
| 12.551994
| 11.787938
| 12.333864
| 11.762663
| 12.878589
| 12.893879
| 12.28802
| 11.67862
| 11.803612
| 13.620566
| 11.416493
| 11.817907
| 12.256195
| 11.954913
| 11.516751
| 12.069964
| 11.703166
| 11.654817
| 11.849526
| 12.355046
| 11.62905
|
2405.10363
|
Robert Saskowski
|
Robert J. Saskowski
|
The fate of boundary terms in dimensional reductions
|
24 pages; references added
| null | null |
LCTP-24-09
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Gibbons-Hawking-York (GHY) terms are typically neglected when performing
dimensional reductions of gravitational theories. We consider the reduction of
such terms for both two-derivative and four-derivative theories in general
dimensions. We demonstrate a robust consistency wherein the GHY term in the
original, higher-dimensional theory translates directly to the appropriate GHY
term in the dimensionally reduced theory. In particular, this gives a novel way
of generating such terms for higher-derivative corrections. We carry out this
procedure for Gauss-Bonnet, Chern-Simons modified, and $f(R)$ gravities to
derive novel boundary terms.
|
[
{
"created": "Thu, 16 May 2024 18:00:02 GMT",
"version": "v1"
},
{
"created": "Mon, 27 May 2024 15:53:59 GMT",
"version": "v2"
},
{
"created": "Wed, 29 May 2024 13:04:26 GMT",
"version": "v3"
},
{
"created": "Mon, 3 Jun 2024 13:42:12 GMT",
"version": "v4"
},
{
"created": "Mon, 12 Aug 2024 13:49:43 GMT",
"version": "v5"
}
] |
2024-08-13
|
[
[
"Saskowski",
"Robert J.",
""
]
] |
Gibbons-Hawking-York (GHY) terms are typically neglected when performing dimensional reductions of gravitational theories. We consider the reduction of such terms for both two-derivative and four-derivative theories in general dimensions. We demonstrate a robust consistency wherein the GHY term in the original, higher-dimensional theory translates directly to the appropriate GHY term in the dimensionally reduced theory. In particular, this gives a novel way of generating such terms for higher-derivative corrections. We carry out this procedure for Gauss-Bonnet, Chern-Simons modified, and $f(R)$ gravities to derive novel boundary terms.
| 8.75646
| 8.740939
| 8.07128
| 7.711972
| 8.019357
| 8.197689
| 8.548067
| 8.188411
| 8.158945
| 8.738016
| 8.031778
| 7.854187
| 7.890201
| 7.926078
| 8.140275
| 7.779212
| 7.820162
| 7.907699
| 8.056215
| 8.033052
| 7.661551
|
1401.7991
|
Lasha Berezhiani
|
Lasha Berezhiani, Justin Khoury, Junpu Wang
|
Non-Trivial Checks of Novel Consistency Relations
|
30 pages
| null |
10.1088/1475-7516/2014/06/056
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Single-field perturbations satisfy an infinite number of consistency
relations constraining the squeezed limit of correlation functions at each
order in the soft momentum. These can be understood as Ward identities for an
infinite set of residual global symmetries, or equivalently as Slavnov-Taylor
identities for spatial diffeomorphisms. In this paper, we perform a number of
novel, non-trivial checks of the identities in the context of slow-roll single
field inflationary models with arbitrary sound speed. We focus for concreteness
on identities involving 3-point functions with a soft external mode, and
consider all possible scalar and tensor combinations for the hard-momentum
modes. In all these cases, we check the consistency relations up to and
including cubic order in the soft momentum. For this purpose, we compute for
the first time the 3-point functions involving 2 scalars and 1 tensor, as well
as 2 tensors and 1 scalar, for arbitrary sound speed.
|
[
{
"created": "Thu, 30 Jan 2014 21:00:07 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"Berezhiani",
"Lasha",
""
],
[
"Khoury",
"Justin",
""
],
[
"Wang",
"Junpu",
""
]
] |
Single-field perturbations satisfy an infinite number of consistency relations constraining the squeezed limit of correlation functions at each order in the soft momentum. These can be understood as Ward identities for an infinite set of residual global symmetries, or equivalently as Slavnov-Taylor identities for spatial diffeomorphisms. In this paper, we perform a number of novel, non-trivial checks of the identities in the context of slow-roll single field inflationary models with arbitrary sound speed. We focus for concreteness on identities involving 3-point functions with a soft external mode, and consider all possible scalar and tensor combinations for the hard-momentum modes. In all these cases, we check the consistency relations up to and including cubic order in the soft momentum. For this purpose, we compute for the first time the 3-point functions involving 2 scalars and 1 tensor, as well as 2 tensors and 1 scalar, for arbitrary sound speed.
| 6.578602
| 5.921179
| 6.084286
| 5.752433
| 5.987883
| 5.734798
| 5.527273
| 5.972696
| 5.807729
| 7.08819
| 5.587284
| 5.641982
| 6.339328
| 5.968527
| 5.893592
| 5.829755
| 5.873821
| 5.725349
| 6.167606
| 6.094089
| 5.808524
|
hep-th/0402156
|
Indrajit Mitra
|
Joshua J. Friess (Princeton University), Steven S. Gubser (Princeton
University), and Indrajit Mitra (UC Berkeley & LBNL, Berkeley)
|
String creation in cosmologies with a varying dilaton
|
15 pages, latex, one figure
|
Nucl.Phys. B689 (2004) 243-256
|
10.1016/j.nuclphysb.2004.04.014
|
PUPT-2111, UCB-PTH-04/04, LBNL-54593
|
hep-th
| null |
FRW solutions of the string theory low-energy effective actions are
described, yielding a dilaton which first decreases and then increases. We
study string creation in these backgrounds and find an exponential divergence
due to an initial space-like singularity. We conjecture that this singularity
may be removed by the effects of back-reaction, leading to a solution which at
early times is de Sitter space.
|
[
{
"created": "Thu, 19 Feb 2004 21:51:19 GMT",
"version": "v1"
}
] |
2010-04-05
|
[
[
"Friess",
"Joshua J.",
"",
"Princeton University"
],
[
"Gubser",
"Steven S.",
"",
"Princeton\n University"
],
[
"Mitra",
"Indrajit",
"",
"UC Berkeley & LBNL, Berkeley"
]
] |
FRW solutions of the string theory low-energy effective actions are described, yielding a dilaton which first decreases and then increases. We study string creation in these backgrounds and find an exponential divergence due to an initial space-like singularity. We conjecture that this singularity may be removed by the effects of back-reaction, leading to a solution which at early times is de Sitter space.
| 14.439912
| 12.024126
| 12.852742
| 10.885837
| 12.228683
| 11.535158
| 10.640821
| 11.646944
| 11.43394
| 13.769241
| 13.027809
| 11.206205
| 12.971018
| 11.824806
| 11.558743
| 11.580997
| 11.486557
| 11.454096
| 12.137132
| 12.979568
| 12.036816
|
2201.05117
|
Harry Goodhew
|
Aliakbar Abolhasani and Harry Goodhew
|
Derivative Interactions during Inflation: A Systematic Approach
|
19+23 pages, 7 figures
| null |
10.1088/1475-7516/2022/06/032
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a systematic prescription for calculating cosmological correlation
functions for models with derivative interactions through the wavefunction of
the universe and compare this result with the "in-in" formalism -- canonical
approach. The key step in this procedure is to perform the path integral over
conjugate momenta after which a straightforward generalisation of Feynman's
Rules can be applied. We show that this integral recovers the classical action
plus some additional divergent contributions which are necessary to cancel
other divergences that arise due to loop diagrams involving time derivatives.
As a side project, for the first time, we introduce the "off-shell" version of
the in-in formalism that is sometimes more straightforward, especially for the
models with derivative coupling. To examine our prescription, as a specific
example, we work out the trispectra of the scalar fluctuation in the model with
the $\lambda {\phi'}^3$ derivative coupling.
|
[
{
"created": "Thu, 13 Jan 2022 18:22:59 GMT",
"version": "v1"
},
{
"created": "Sat, 23 Apr 2022 13:08:28 GMT",
"version": "v2"
}
] |
2022-07-06
|
[
[
"Abolhasani",
"Aliakbar",
""
],
[
"Goodhew",
"Harry",
""
]
] |
We present a systematic prescription for calculating cosmological correlation functions for models with derivative interactions through the wavefunction of the universe and compare this result with the "in-in" formalism -- canonical approach. The key step in this procedure is to perform the path integral over conjugate momenta after which a straightforward generalisation of Feynman's Rules can be applied. We show that this integral recovers the classical action plus some additional divergent contributions which are necessary to cancel other divergences that arise due to loop diagrams involving time derivatives. As a side project, for the first time, we introduce the "off-shell" version of the in-in formalism that is sometimes more straightforward, especially for the models with derivative coupling. To examine our prescription, as a specific example, we work out the trispectra of the scalar fluctuation in the model with the $\lambda {\phi'}^3$ derivative coupling.
| 13.232472
| 13.068537
| 13.690218
| 12.796499
| 13.108721
| 13.517796
| 12.73621
| 12.232549
| 12.00299
| 13.943792
| 12.226767
| 12.718516
| 12.869849
| 12.631071
| 12.61646
| 12.28259
| 12.43046
| 12.362577
| 12.333431
| 12.68661
| 12.455791
|
hep-th/0605062
|
Jochen Zahn
|
Claus Doescher, Jochen Zahn
|
Dispersion relations in the noncommutative \phi^3 and Wess-Zumino model
in the Yang-Feldman formalism
|
23 pages, 2 figures. v2: Minor corrections and changes in the
presentation
|
Annales Henri Poincare 10:35-60,2009
|
10.1007/s00023-009-0401-4
|
DESY 06-060, ZMP-HH/06-07
|
hep-th
| null |
We study dispersion relations in the noncommutative \phi^3 and Wess-Zumino
model in the Yang-Feldman formalism at one-loop order. Nonplanar graphs lead to
a distortion of the dispersion relation. We find that the strength of this
effect is moderate if the scale of noncommutativity is identified with the
Planck scale and parameters typical for a Higgs field are employed. The
contribution of the nonplanar graphs is calculated rigorously using the
framework of oscillatory integrals.
|
[
{
"created": "Fri, 5 May 2006 12:00:55 GMT",
"version": "v1"
},
{
"created": "Sat, 13 Oct 2007 17:24:59 GMT",
"version": "v2"
}
] |
2009-04-17
|
[
[
"Doescher",
"Claus",
""
],
[
"Zahn",
"Jochen",
""
]
] |
We study dispersion relations in the noncommutative \phi^3 and Wess-Zumino model in the Yang-Feldman formalism at one-loop order. Nonplanar graphs lead to a distortion of the dispersion relation. We find that the strength of this effect is moderate if the scale of noncommutativity is identified with the Planck scale and parameters typical for a Higgs field are employed. The contribution of the nonplanar graphs is calculated rigorously using the framework of oscillatory integrals.
| 7.592583
| 7.301118
| 8.070443
| 6.993688
| 7.414721
| 7.424243
| 7.589524
| 7.365596
| 7.369676
| 8.690834
| 7.174452
| 7.486055
| 7.876325
| 7.243236
| 7.439304
| 7.392639
| 7.46139
| 7.285414
| 7.602214
| 7.781209
| 7.610061
|
1306.4297
|
Masazumi Honda
|
Yasuyuki Hatsuda, Masazumi Honda, Sanefumi Moriyama, Kazumi Okuyama
|
ABJM Wilson Loops in Arbitrary Representations
|
30 pages, 1 figure; v2: references added; v3: minor corrections
| null |
10.1007/JHEP10(2013)168
|
DESY 13-097, TIT/HEP-628, KEK-TH-1636, YITP-13-57
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study vacuum expectation values (VEVs) of circular half BPS Wilson loops
in arbitrary representations in ABJM theory. We find that those in hook
representations are reduced to elementary integrations thanks to the Fermi gas
formalism, which are accessible from the numerical studies similar to the
partition function in the previous studies. For non-hook representations, we
show that the VEVs in the grand canonical formalism can be exactly expressed as
determinants of those in the hook representations. Using these facts, we can
study the instanton effects of the VEVs in various representations. Our results
are consistent with the worldsheet instanton effects studied from the
topological string and a prescription to include the membrane instanton effects
by shifting the chemical potential, which has been successful for the partition
function.
|
[
{
"created": "Tue, 18 Jun 2013 19:00:00 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Jun 2013 11:29:38 GMT",
"version": "v2"
},
{
"created": "Thu, 15 Aug 2013 12:31:50 GMT",
"version": "v3"
}
] |
2015-06-16
|
[
[
"Hatsuda",
"Yasuyuki",
""
],
[
"Honda",
"Masazumi",
""
],
[
"Moriyama",
"Sanefumi",
""
],
[
"Okuyama",
"Kazumi",
""
]
] |
We study vacuum expectation values (VEVs) of circular half BPS Wilson loops in arbitrary representations in ABJM theory. We find that those in hook representations are reduced to elementary integrations thanks to the Fermi gas formalism, which are accessible from the numerical studies similar to the partition function in the previous studies. For non-hook representations, we show that the VEVs in the grand canonical formalism can be exactly expressed as determinants of those in the hook representations. Using these facts, we can study the instanton effects of the VEVs in various representations. Our results are consistent with the worldsheet instanton effects studied from the topological string and a prescription to include the membrane instanton effects by shifting the chemical potential, which has been successful for the partition function.
| 7.191261
| 7.059554
| 8.696571
| 7.413213
| 6.971167
| 7.230668
| 6.688111
| 6.75826
| 7.335209
| 9.787959
| 6.861072
| 6.819587
| 8.116428
| 7.176454
| 7.066339
| 6.925396
| 6.897516
| 7.015634
| 7.048296
| 7.927561
| 7.100865
|
1605.08431
|
Mads Sogaard
|
Jorrit Bosma, Mads Sogaard and Yang Zhang
|
The Polynomial Form of the Scattering Equations is an H-Basis
|
6 pages
|
Phys. Rev. D 94, 041701 (2016)
|
10.1103/PhysRevD.94.041701
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We prove that the polynomial form of the scattering equations is a Macaulay
H-basis. We demonstrate that this H-basis facilitates integrand reduction and
global residue computations in a way very similar to using a Gr\"obner basis,
but circumvents the heavy computation of the latter. As an example, we apply
the H-basis to prove the conjecture that the dual basis of the polynomial
scattering equations must contain one constant term.
|
[
{
"created": "Thu, 26 May 2016 19:52:12 GMT",
"version": "v1"
}
] |
2016-08-10
|
[
[
"Bosma",
"Jorrit",
""
],
[
"Sogaard",
"Mads",
""
],
[
"Zhang",
"Yang",
""
]
] |
We prove that the polynomial form of the scattering equations is a Macaulay H-basis. We demonstrate that this H-basis facilitates integrand reduction and global residue computations in a way very similar to using a Gr\"obner basis, but circumvents the heavy computation of the latter. As an example, we apply the H-basis to prove the conjecture that the dual basis of the polynomial scattering equations must contain one constant term.
| 14.215601
| 12.550238
| 16.180056
| 12.372149
| 13.543016
| 12.926798
| 12.808885
| 13.314635
| 12.657616
| 14.538804
| 12.299891
| 13.711389
| 13.895806
| 12.293913
| 12.346212
| 12.423789
| 12.54733
| 12.324132
| 12.550294
| 13.007675
| 12.489103
|
hep-th/9209042
|
Terry Gannon
|
Terry Gannon
|
Partition Functions for Heterotic WZW Conformal Field Theories
|
22 pages
|
Nucl.Phys. B402 (1993) 729-753
|
10.1016/0550-3213(93)90127-B
| null |
hep-th
| null |
Thus far in the search for, and classification of, `physical' modular
invariant partition functions $\sum N_{LR}\,\c_L\,\C_R$ the attention has been
focused on the {\it symmetric} case where the holomorphic and anti-holomorphic
sectors, and hence the characters $\c_L$ and $\c_R$, are associated with the
same Kac-Moody algebras $\g_L=\g_R$ and levels $k_L=k_R$. In this paper we
consider the more general possibility where $(\g_L,k_L)$ may not equal
$(\g_R,k_R)$. We discuss which choices of algebras and levels may correspond to
well-defined conformal field theories, we find the `smallest' such {\it
heterotic} (\ie asymmetric) partition functions, and we give a method,
generalizing the Roberts-Terao-Warner lattice method, for explicitly
constructing many other modular invariants. We conclude the paper by proving
that this new lattice method will succeed in generating all the heterotic
partition functions, for all choices of algebras and levels.
|
[
{
"created": "Sun, 13 Sep 1992 20:57:00 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Gannon",
"Terry",
""
]
] |
Thus far in the search for, and classification of, `physical' modular invariant partition functions $\sum N_{LR}\,\c_L\,\C_R$ the attention has been focused on the {\it symmetric} case where the holomorphic and anti-holomorphic sectors, and hence the characters $\c_L$ and $\c_R$, are associated with the same Kac-Moody algebras $\g_L=\g_R$ and levels $k_L=k_R$. In this paper we consider the more general possibility where $(\g_L,k_L)$ may not equal $(\g_R,k_R)$. We discuss which choices of algebras and levels may correspond to well-defined conformal field theories, we find the `smallest' such {\it heterotic} (\ie asymmetric) partition functions, and we give a method, generalizing the Roberts-Terao-Warner lattice method, for explicitly constructing many other modular invariants. We conclude the paper by proving that this new lattice method will succeed in generating all the heterotic partition functions, for all choices of algebras and levels.
| 8.873024
| 8.197909
| 9.631574
| 7.923092
| 7.680046
| 8.116412
| 8.80085
| 7.739676
| 7.505734
| 10.14333
| 7.79535
| 7.538151
| 7.983589
| 7.803446
| 7.679995
| 7.540822
| 7.609101
| 7.63092
| 7.88952
| 8.24989
| 7.879845
|
hep-th/0702145
|
Sumit Das
|
Sumit R. Das and Luiz H. Santos
|
Open String Descriptions of Space-like Singularities in Two Dimensional
String Theory
|
LaTeX 8 eps figures, referenced added
|
Phys.Rev.D75:126001,2007
|
10.1103/PhysRevD.75.126001
|
UK/07-01
|
hep-th
| null |
The matrix model formulation of two dimensional string theory has been shown
to admit time dependent classical solutions whose closed string duals are
geodesically incomplete space-times with space-like boundaries. We investigate
some aspects of the dynamics of fermions in one such background. We show that
even though the background solution appears pathological, the time evolution of
the system is smooth in terms of open string degrees of freedom, viz. the
fermions. In particular, an initial state of fermions evolves smoothly into a
well defined final state over an infinite open string time interval, while the
time perceived by closed strings appears to end abruptly. We outline a method
of calculating fermion correlators exactly using symmetry properties. The
result for the two point function is consistent with the semiclassical picture.
|
[
{
"created": "Sun, 18 Feb 2007 19:55:07 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Apr 2007 20:30:32 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Das",
"Sumit R.",
""
],
[
"Santos",
"Luiz H.",
""
]
] |
The matrix model formulation of two dimensional string theory has been shown to admit time dependent classical solutions whose closed string duals are geodesically incomplete space-times with space-like boundaries. We investigate some aspects of the dynamics of fermions in one such background. We show that even though the background solution appears pathological, the time evolution of the system is smooth in terms of open string degrees of freedom, viz. the fermions. In particular, an initial state of fermions evolves smoothly into a well defined final state over an infinite open string time interval, while the time perceived by closed strings appears to end abruptly. We outline a method of calculating fermion correlators exactly using symmetry properties. The result for the two point function is consistent with the semiclassical picture.
| 10.958762
| 11.618064
| 13.003235
| 10.679826
| 11.029963
| 10.81673
| 10.866231
| 10.768319
| 10.77213
| 12.407895
| 10.56331
| 10.664683
| 11.995658
| 10.37907
| 10.613083
| 10.665611
| 10.793713
| 10.343592
| 10.641857
| 11.687943
| 10.458123
|
1911.01008
|
Sergei V. Ketov
|
Sergei V. Ketov
|
On the equivalence between Starobinsky and Higgs inflationary models in
gravity and supergravity
|
13 pages, no figures; references added
|
J.Phys.A:Math.Theor. 53 (2020) 084001 (A Passion for Theoretical
Physics: in Memory of Peter G O Freund)
|
10.1088/1751-8121/ab6a33
|
IPMU19-0158
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Starobinsky inflation and Higgs inflation in gravity, and their equivalence
based on the common inflationary potential are extended to supergravity in the
proper framework, where the Starobinsky and Higgs descriptions of inflation
arise in two different gauges of the same supergravity model.
|
[
{
"created": "Mon, 4 Nov 2019 02:15:31 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Nov 2019 04:49:14 GMT",
"version": "v2"
}
] |
2020-01-30
|
[
[
"Ketov",
"Sergei V.",
""
]
] |
Starobinsky inflation and Higgs inflation in gravity, and their equivalence based on the common inflationary potential are extended to supergravity in the proper framework, where the Starobinsky and Higgs descriptions of inflation arise in two different gauges of the same supergravity model.
| 20.540659
| 13.544553
| 15.294296
| 13.616056
| 16.029543
| 14.215836
| 15.011356
| 13.880413
| 13.684908
| 17.450418
| 14.274329
| 13.88355
| 14.062773
| 14.470433
| 13.650036
| 12.615241
| 13.173849
| 13.637706
| 13.22604
| 15.560464
| 13.98387
|
1611.10077
|
David Dudal
|
M. A. L. Capri, D. Dudal, A. D. Pereira, D. Fiorentini, M. S.
Guimaraes, B. W. Mintz, L. F. Palhares, S. P. Sorella
|
Non-perturbative aspects of Euclidean Yang-Mills theories in linear
covariant gauges: Nielsen identities and a BRST invariant two-point
correlation function
|
31 pages. v2: extended bibliography + new subsection on LKF
transformations
|
Phys. Rev. D 95, 045011 (2017)
|
10.1103/PhysRevD.95.045011
| null |
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In order to construct a gauge invariant two-point function in a Yang-Mills
theory, we propose the use of the all-order gauge invariant transverse
configurations A^h. Such configurations can be obtained through the
minimization of the functional A^2_{min} along the gauge orbit within the BRST
invariant formulation of the Gribov-Zwanziger framework recently put forward in
[1,2] for the class of the linear covariant gauges. This correlator turns out
to provide a characterization of non-perturbative aspects of the theory in a
BRST invariant and gauge parameter independent way. In particular, it turns out
that the poles of <A^h A^h> are the same as those of the transverse part of the
gluon propagator, which are also formally shown to be independent of the gauge
parameter entering the gauge condition through the Nielsen identities. The
latter follow from the new exact BRST invariant formulation introduced before.
Moreover, the correlator <A^h A^h> enables us to attach a BRST invariant
meaning to the possible positivity violation of the corresponding temporal
Schwinger correlator, giving thus for the first time a consistent, gauge
parameter independent, setup to adopt the positivity violation of <A^h A^h> as
a signature for gluon confinement. Finally, in the context of gauge theories
supplemented with a fundamental Higgs field, we use <A^h A^h> to probe the pole
structure of the massive gauge boson in a gauge invariant fashion.
|
[
{
"created": "Wed, 30 Nov 2016 10:15:10 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Dec 2016 11:27:03 GMT",
"version": "v2"
}
] |
2017-03-01
|
[
[
"Capri",
"M. A. L.",
""
],
[
"Dudal",
"D.",
""
],
[
"Pereira",
"A. D.",
""
],
[
"Fiorentini",
"D.",
""
],
[
"Guimaraes",
"M. S.",
""
],
[
"Mintz",
"B. W.",
""
],
[
"Palhares",
"L. F.",
""
],
[
"Sorella",
"S. P.",
""
]
] |
In order to construct a gauge invariant two-point function in a Yang-Mills theory, we propose the use of the all-order gauge invariant transverse configurations A^h. Such configurations can be obtained through the minimization of the functional A^2_{min} along the gauge orbit within the BRST invariant formulation of the Gribov-Zwanziger framework recently put forward in [1,2] for the class of the linear covariant gauges. This correlator turns out to provide a characterization of non-perturbative aspects of the theory in a BRST invariant and gauge parameter independent way. In particular, it turns out that the poles of <A^h A^h> are the same as those of the transverse part of the gluon propagator, which are also formally shown to be independent of the gauge parameter entering the gauge condition through the Nielsen identities. The latter follow from the new exact BRST invariant formulation introduced before. Moreover, the correlator <A^h A^h> enables us to attach a BRST invariant meaning to the possible positivity violation of the corresponding temporal Schwinger correlator, giving thus for the first time a consistent, gauge parameter independent, setup to adopt the positivity violation of <A^h A^h> as a signature for gluon confinement. Finally, in the context of gauge theories supplemented with a fundamental Higgs field, we use <A^h A^h> to probe the pole structure of the massive gauge boson in a gauge invariant fashion.
| 8.772932
| 8.566004
| 8.827353
| 8.626228
| 8.628883
| 8.843034
| 9.253325
| 8.500758
| 8.55255
| 9.017127
| 8.395714
| 8.521294
| 8.670321
| 8.620219
| 8.601366
| 8.751382
| 8.701068
| 8.550075
| 8.539497
| 8.837254
| 8.655814
|
2209.03361
|
Miguel Montero
|
Miguel Montero and Hector Parra de Freitas
|
New Supersymmetric String Theories from Discrete Theta Angles
|
45 pages + references, 4 figures, and 3 new string theories
| null |
10.1007/JHEP01(2023)091
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We describe three previously unnoticed components of the moduli space of
minimally supersymmetric string theories in $d\geq 7$, describing in some
detail their spectrum and duality properties. We find a new component in nine
and eight dimensions, and two additional ones in seven dimensions. These
theories were originally discovered in a bottom-up classification of possible
F/M-theory singularity freezing patterns in the K3 lattice, described in a
companion paper. The 9d/8d component can be understood as F/M-theory on a
twisted fibration of the Klein bottle over a circle, while the new
seven-dimensional components are described as IIB on Bieberbach manifolds with
a duality bundle and RR-NSNS backgrounds turned on. All the new components can
be obtained from previously known theories by turning on certain discrete theta
angles; however, the spectrum of massive objects is very different, and most
strikingly, they feature an incomplete lattice of BPS strings, showing that
string BPS completeness is not true in general even with sixteen supercharges.
In all cases we find non-BPS representatives for each value of the charge, so
the Completeness Principle is satisfied. We also analyze analogous theta angles
in nonsupersymmetric string theories, and provide a detailed explanation of why
the Type I discrete $\theta$ angle proposed in 1304.1551 is unphysical, using
this to clarify certain non-perturbative phenomena in $O8$ planes.
|
[
{
"created": "Wed, 7 Sep 2022 18:00:00 GMT",
"version": "v1"
}
] |
2023-02-01
|
[
[
"Montero",
"Miguel",
""
],
[
"de Freitas",
"Hector Parra",
""
]
] |
We describe three previously unnoticed components of the moduli space of minimally supersymmetric string theories in $d\geq 7$, describing in some detail their spectrum and duality properties. We find a new component in nine and eight dimensions, and two additional ones in seven dimensions. These theories were originally discovered in a bottom-up classification of possible F/M-theory singularity freezing patterns in the K3 lattice, described in a companion paper. The 9d/8d component can be understood as F/M-theory on a twisted fibration of the Klein bottle over a circle, while the new seven-dimensional components are described as IIB on Bieberbach manifolds with a duality bundle and RR-NSNS backgrounds turned on. All the new components can be obtained from previously known theories by turning on certain discrete theta angles; however, the spectrum of massive objects is very different, and most strikingly, they feature an incomplete lattice of BPS strings, showing that string BPS completeness is not true in general even with sixteen supercharges. In all cases we find non-BPS representatives for each value of the charge, so the Completeness Principle is satisfied. We also analyze analogous theta angles in nonsupersymmetric string theories, and provide a detailed explanation of why the Type I discrete $\theta$ angle proposed in 1304.1551 is unphysical, using this to clarify certain non-perturbative phenomena in $O8$ planes.
| 16.910093
| 17.234236
| 19.464298
| 16.057489
| 16.811192
| 17.396128
| 17.370537
| 16.049017
| 15.270954
| 22.003342
| 15.333289
| 16.207867
| 17.941786
| 15.681097
| 15.460526
| 15.795119
| 16.159325
| 15.790322
| 15.816216
| 17.841171
| 15.757544
|
1408.7072
|
Kellogg S. Stelle
|
B. Crampton, C.N. Pope and K.S. Stelle
|
Braneworld localisation in hyperbolic spacetime
|
32 pages, 2 figures; misprints corrected & some clarification added
|
JHEP 1412 (2014) 035
|
10.1007/JHEP12(2014)035
|
MIFPA-14-24; Imperial/TP/14/KSS/02
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a construction employing a type IIA supergravity and 3-form flux
background together with an NS5-brane that localises massless gravity near the
5-brane worldvolume. The nonsingular underlying type IIA solution is a lift to
10D of the vacuum solution of the 6D Salam-Sezgin model and has a hyperbolic
${\cal H}^{(2,2)}\times S^1$ structure in the lifting dimensions. A fully
back-reacted solution including the NS5-brane is constructed by recognising the
10D Salam-Sezgin vacuum solution as a "brane resolved through transgression."
The background hyperbolic structure plays a key r\^ole in generating a mass gap
in the spectrum of the transverse-space wave operator, which gives rise to the
localisation of gravity on the 6D NS5-brane worldvolume, or, equally, in a
further compactification to 4D. Also key to the successful localisation of
gravity is the specific form of the corresponding transverse wavefunction
Schr\"odinger problem, which asymptotically involves a $V=-1/(4\rho^2)$
potential, where $\rho$ is the transverse-space radius, and for which the
NS5-brane source gives rise to a specific choice of self-adjoint extension for
the transverse wave operator. The corresponding boundary condition as
$\rho\to0$ ensures the masslessness of gravity in the effective braneworld
theory. Above the mass gap, there is a continuum of massive states which give
rise to small corrections to Newton's law.
|
[
{
"created": "Fri, 29 Aug 2014 17:08:58 GMT",
"version": "v1"
},
{
"created": "Thu, 21 May 2015 08:40:44 GMT",
"version": "v2"
}
] |
2015-05-22
|
[
[
"Crampton",
"B.",
""
],
[
"Pope",
"C. N.",
""
],
[
"Stelle",
"K. S.",
""
]
] |
We present a construction employing a type IIA supergravity and 3-form flux background together with an NS5-brane that localises massless gravity near the 5-brane worldvolume. The nonsingular underlying type IIA solution is a lift to 10D of the vacuum solution of the 6D Salam-Sezgin model and has a hyperbolic ${\cal H}^{(2,2)}\times S^1$ structure in the lifting dimensions. A fully back-reacted solution including the NS5-brane is constructed by recognising the 10D Salam-Sezgin vacuum solution as a "brane resolved through transgression." The background hyperbolic structure plays a key r\^ole in generating a mass gap in the spectrum of the transverse-space wave operator, which gives rise to the localisation of gravity on the 6D NS5-brane worldvolume, or, equally, in a further compactification to 4D. Also key to the successful localisation of gravity is the specific form of the corresponding transverse wavefunction Schr\"odinger problem, which asymptotically involves a $V=-1/(4\rho^2)$ potential, where $\rho$ is the transverse-space radius, and for which the NS5-brane source gives rise to a specific choice of self-adjoint extension for the transverse wave operator. The corresponding boundary condition as $\rho\to0$ ensures the masslessness of gravity in the effective braneworld theory. Above the mass gap, there is a continuum of massive states which give rise to small corrections to Newton's law.
| 9.022151
| 9.379356
| 9.690094
| 8.876532
| 9.746948
| 8.792656
| 9.387799
| 9.140508
| 9.032707
| 10.459639
| 8.896664
| 8.639182
| 9.076252
| 8.783123
| 8.813508
| 8.749732
| 8.890892
| 8.798221
| 8.818341
| 9.038252
| 8.495458
|
hep-th/9111033
| null |
Scott A. Yost
|
Supermatrix Models
|
22 pgs
|
Int. J. Mod. Phys. A7 (1992) 6105-6120
|
10.1142/S0217751X92002775
| null |
hep-th
| null |
Random matrix models based on an integral over supermatrices are proposed as
a natural extension of bosonic matrix models. The subtle nature of superspace
integration allows these models to have very different properties from the
analogous bosonic models. Two choices of integration slice are investigated.
One leads to a perturbative structure which is reminiscent of, and perhaps
identical to, the usual Hermitian matrix models. Another leads to an eigenvalue
reduction which can be described by a two component plasma in one dimension. A
stationary point of the model is described.
|
[
{
"created": "Tue, 19 Nov 1991 15:33:00 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Yost",
"Scott A.",
""
]
] |
Random matrix models based on an integral over supermatrices are proposed as a natural extension of bosonic matrix models. The subtle nature of superspace integration allows these models to have very different properties from the analogous bosonic models. Two choices of integration slice are investigated. One leads to a perturbative structure which is reminiscent of, and perhaps identical to, the usual Hermitian matrix models. Another leads to an eigenvalue reduction which can be described by a two component plasma in one dimension. A stationary point of the model is described.
| 12.029655
| 13.396326
| 13.997602
| 12.28539
| 13.564039
| 12.892087
| 12.808544
| 13.086109
| 13.321018
| 15.309115
| 12.689246
| 12.110527
| 12.982784
| 12.391662
| 12.326894
| 12.070569
| 11.969834
| 11.682486
| 12.278204
| 13.190202
| 12.624759
|
1909.06921
|
Andrei Mironov
|
H. Itoyama, A. Mironov, A. Morozov
|
Tensorial generalization of characters
|
22 pages
|
J. High Energ. Phys. 2019 (2019) 127
|
10.1007/JHEP12(2019)127
|
FIAN/TD-17/19; ITEP/TH-27/19; IITP/TH-18/19; MIPT/TH-16/19;
OCU-PHYS-506; NITEP 29
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In rainbow tensor models, which generalize rectangular complex matrix model
(RCM) and possess a huge gauge symmetry $U(N_1)\times\ldots\times U(N_r)$, we
introduce a new sub-basis in the linear space of gauge invariant operators,
which is a redundant basis in the space of operators with non-zero Gaussian
averages. Its elements are labeled by $r$-tuples of Young diagrams of a given
size equal to the power of tensor field. Their tensor model averages are just
products of dimensions: $\Big<\chi_{R_1,\ldots,R_r}\Big> \sim C_{R_1,\ldots,
R_r}D_{R_1}(N_1)\ldots D_{R_r}(N_r)$ of representations $R_i$ of the linear
group $SL(N_i)$, with $C_{R_1,\ldots, R_r}$ made of the Clebsch-Gordan
coefficients of representations $R_i$ of the symmetric group. Moreover, not
only the averages but the operators $\chi_{\vec R}$ themselves exist only when
these $C_{\vec R}$ are non-vanishing. This sub-basis is much similar to the
basis of characters (Schur functions) in matrix models, which is distinguished
by the property $\Big<{\rm character}\Big> \sim { character}$, which opens a
way to lift the notion and the theory of characters (Schur functions) from
matrices to tensors. In particular, operators $\chi_{\vec R}$ are
eigenfunctions of operators which generalize the usual cut-and-join operators
$\hat W$; they satisfy orthogonality conditions similar to the standard
characters, but they do not form a {\it full} linear basis for all
gauge-invariant operators, only for those which have non-vanishing Gaussian
averages.
|
[
{
"created": "Mon, 16 Sep 2019 01:14:08 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Dec 2019 12:12:27 GMT",
"version": "v2"
}
] |
2019-12-19
|
[
[
"Itoyama",
"H.",
""
],
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
]
] |
In rainbow tensor models, which generalize rectangular complex matrix model (RCM) and possess a huge gauge symmetry $U(N_1)\times\ldots\times U(N_r)$, we introduce a new sub-basis in the linear space of gauge invariant operators, which is a redundant basis in the space of operators with non-zero Gaussian averages. Its elements are labeled by $r$-tuples of Young diagrams of a given size equal to the power of tensor field. Their tensor model averages are just products of dimensions: $\Big<\chi_{R_1,\ldots,R_r}\Big> \sim C_{R_1,\ldots, R_r}D_{R_1}(N_1)\ldots D_{R_r}(N_r)$ of representations $R_i$ of the linear group $SL(N_i)$, with $C_{R_1,\ldots, R_r}$ made of the Clebsch-Gordan coefficients of representations $R_i$ of the symmetric group. Moreover, not only the averages but the operators $\chi_{\vec R}$ themselves exist only when these $C_{\vec R}$ are non-vanishing. This sub-basis is much similar to the basis of characters (Schur functions) in matrix models, which is distinguished by the property $\Big<{\rm character}\Big> \sim { character}$, which opens a way to lift the notion and the theory of characters (Schur functions) from matrices to tensors. In particular, operators $\chi_{\vec R}$ are eigenfunctions of operators which generalize the usual cut-and-join operators $\hat W$; they satisfy orthogonality conditions similar to the standard characters, but they do not form a {\it full} linear basis for all gauge-invariant operators, only for those which have non-vanishing Gaussian averages.
| 7.818363
| 7.670148
| 8.364635
| 7.408503
| 8.005085
| 7.823601
| 7.6343
| 7.628586
| 7.272027
| 9.202813
| 7.343396
| 7.841481
| 8.078288
| 7.497656
| 7.588716
| 7.680324
| 7.522113
| 7.60547
| 7.434829
| 7.860759
| 7.600036
|
0711.3442
|
Yuki Watanabe
|
Yuki Watanabe, Eiichiro Komatsu (U. Texas, Austin)
|
Gravitational inflaton decay and the hierarchy problem
|
6 pages, submitted to PRD, (v2) references added, (v3) revised to
have inflaton quanta canonically normalized
|
Phys.Rev.D77:043514,2008
|
10.1103/PhysRevD.77.043514
| null |
hep-th astro-ph gr-qc hep-ph
| null |
We study implications of the large-N species solution to the hierarchy
problem, proposed by G. Dvali, for reheating of the universe after inflation.
Dvali's proposal contains additional N~10^{32} Z_2-conserved quantum fields
beyond the Standard Model particles with mass ~1 TeV, which weaken gravity by a
factor of 1/N, and thus explain the hierarchy between the Plank scale and the
electroweak scale. We show that, in this scenario, the decay rates of inflaton
fields through gravitational decay channels are enhanced by a factor of N, and
thus they decay into N species of the quantum fields very efficiently, in the
limit that quantum gravity effects are unimportant for the gravitational decay
rate. In order not to over-reheat the universe, inflaton mass, vacuum
expectation value of inflaton, or non-minimal gravitational coupling should be
tightly fine-tuned. Our conclusion holds even when the gravitational decay is
prohibited by some symmetry of the theory; the universe may still be
over-reheated via annihilation of inflatons, if the number density of inflaton
quanta is greater than the critical value.
|
[
{
"created": "Wed, 21 Nov 2007 20:40:01 GMT",
"version": "v1"
},
{
"created": "Sun, 2 Dec 2007 20:58:43 GMT",
"version": "v2"
},
{
"created": "Wed, 16 Apr 2008 22:33:11 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Watanabe",
"Yuki",
"",
"U. Texas, Austin"
],
[
"Komatsu",
"Eiichiro",
"",
"U. Texas, Austin"
]
] |
We study implications of the large-N species solution to the hierarchy problem, proposed by G. Dvali, for reheating of the universe after inflation. Dvali's proposal contains additional N~10^{32} Z_2-conserved quantum fields beyond the Standard Model particles with mass ~1 TeV, which weaken gravity by a factor of 1/N, and thus explain the hierarchy between the Plank scale and the electroweak scale. We show that, in this scenario, the decay rates of inflaton fields through gravitational decay channels are enhanced by a factor of N, and thus they decay into N species of the quantum fields very efficiently, in the limit that quantum gravity effects are unimportant for the gravitational decay rate. In order not to over-reheat the universe, inflaton mass, vacuum expectation value of inflaton, or non-minimal gravitational coupling should be tightly fine-tuned. Our conclusion holds even when the gravitational decay is prohibited by some symmetry of the theory; the universe may still be over-reheated via annihilation of inflatons, if the number density of inflaton quanta is greater than the critical value.
| 8.920029
| 9.651257
| 8.570658
| 8.766539
| 9.552957
| 10.409626
| 10.228946
| 9.137875
| 9.067446
| 9.786435
| 8.63431
| 8.801087
| 8.376695
| 8.187171
| 8.479298
| 8.190281
| 8.431615
| 8.258659
| 8.378745
| 8.679257
| 8.339916
|
1405.4214
|
Szabolcs Zakany
|
Alba Grassi, Marcos Marino and Szabolcs Zakany
|
Resumming the string perturbation series
|
31 pages, 9 figures; v3 : clarifications added and misprints
corrected
| null |
10.1007/JHEP05(2015)038
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use the AdS/CFT correspondence to study the resummation of a perturbative
genus expansion appearing in the type II superstring dual of ABJM theory.
Although the series is Borel summable, its Borel resummation does not agree
with the exact non-perturbative answer due to the presence of complex
instantons. The same type of behavior appears in the WKB quantization of the
quartic oscillator in Quantum Mechanics, which we analyze in detail as a toy
model for the string perturbation series. We conclude that, in these examples,
Borel summability is not enough for extracting non-perturbative information,
due to non-perturbative effects associated to complex instantons. We also
analyze the resummation of the genus expansion for topological string theory on
local $\mathbb P^1 \times \mathbb P^1$, which is closely related to ABJM
theory. In this case, the non-perturbative answer involves membrane instantons
computed by the refined topological string, which are crucial to produce a
well-defined result. We give evidence that the Borel resummation of the
perturbative series requires such a non-perturbative sector.
|
[
{
"created": "Fri, 16 May 2014 15:39:09 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Feb 2015 17:22:21 GMT",
"version": "v2"
},
{
"created": "Thu, 7 May 2015 09:34:57 GMT",
"version": "v3"
}
] |
2015-06-11
|
[
[
"Grassi",
"Alba",
""
],
[
"Marino",
"Marcos",
""
],
[
"Zakany",
"Szabolcs",
""
]
] |
We use the AdS/CFT correspondence to study the resummation of a perturbative genus expansion appearing in the type II superstring dual of ABJM theory. Although the series is Borel summable, its Borel resummation does not agree with the exact non-perturbative answer due to the presence of complex instantons. The same type of behavior appears in the WKB quantization of the quartic oscillator in Quantum Mechanics, which we analyze in detail as a toy model for the string perturbation series. We conclude that, in these examples, Borel summability is not enough for extracting non-perturbative information, due to non-perturbative effects associated to complex instantons. We also analyze the resummation of the genus expansion for topological string theory on local $\mathbb P^1 \times \mathbb P^1$, which is closely related to ABJM theory. In this case, the non-perturbative answer involves membrane instantons computed by the refined topological string, which are crucial to produce a well-defined result. We give evidence that the Borel resummation of the perturbative series requires such a non-perturbative sector.
| 4.952405
| 5.328172
| 5.779301
| 4.9125
| 5.191072
| 5.484425
| 5.013422
| 5.07944
| 4.983733
| 5.619364
| 4.873804
| 4.899214
| 5.087564
| 4.910405
| 4.883466
| 5.031271
| 4.917512
| 4.811368
| 4.919543
| 5.115801
| 4.849189
|
hep-th/0703010
|
Pierre Mathieu
|
P. Jacob and P. Mathieu
|
Paths for Z_k parafermionic models
|
17 pages- minor corrections plus a concluding remark
|
Lett.Math.Phys.81:211-226,2007
|
10.1007/s11005-007-0182-y
| null |
hep-th math-ph math.CO math.MP
| null |
We present a simple bijection between restricted (Bressoud) lattice paths and
RSOS paths in regime II. Both types of paths describe states in Z_k
parafermionic irreducible modules. The bijection implies a direct
correspondence between a RSOS path and a parafermionic state in a
quasi-particle basis.
|
[
{
"created": "Thu, 1 Mar 2007 16:15:10 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Jul 2007 18:04:33 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Jacob",
"P.",
""
],
[
"Mathieu",
"P.",
""
]
] |
We present a simple bijection between restricted (Bressoud) lattice paths and RSOS paths in regime II. Both types of paths describe states in Z_k parafermionic irreducible modules. The bijection implies a direct correspondence between a RSOS path and a parafermionic state in a quasi-particle basis.
| 16.507435
| 11.616635
| 20.244059
| 12.018655
| 13.364775
| 11.164984
| 13.429491
| 11.943352
| 11.180223
| 21.895561
| 13.027281
| 13.040612
| 15.839548
| 13.706284
| 13.777363
| 13.109874
| 13.92432
| 12.921908
| 14.060471
| 16.193884
| 13.406759
|
1811.05641
|
Elena Mirela Babalic Dr
|
E. M. Babalic, D. Doryn, C. I. Lazaroiu, M. Tavakol
|
B-type Landau-Ginzburg models on Stein manifolds
|
10 pages, conference proceedings for "Group 32", Prague, July 9-13,
2018
|
Journal of Physics: Conference Series 1194 (2019) 012010
|
10.1088/1742-6596/1194/1/012010
| null |
hep-th math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We summarize the description of the open-closed TFT datum for B-type
Landau-Ginzburg models with Stein manifold targets and discuss various
constructions which lead to large classes of examples of such models.
|
[
{
"created": "Wed, 14 Nov 2018 05:07:17 GMT",
"version": "v1"
}
] |
2019-04-29
|
[
[
"Babalic",
"E. M.",
""
],
[
"Doryn",
"D.",
""
],
[
"Lazaroiu",
"C. I.",
""
],
[
"Tavakol",
"M.",
""
]
] |
We summarize the description of the open-closed TFT datum for B-type Landau-Ginzburg models with Stein manifold targets and discuss various constructions which lead to large classes of examples of such models.
| 30.706129
| 22.360281
| 29.957796
| 22.529934
| 23.050066
| 23.865328
| 25.40546
| 24.149582
| 18.33761
| 48.543732
| 20.883434
| 20.649057
| 28.18828
| 22.766621
| 23.832117
| 24.079296
| 22.504755
| 25.541126
| 25.852327
| 33.637989
| 21.993052
|
2009.09401
|
Sen Guo
|
Sen Guo, Ya-Ling Huang, Guo-Ping Li
|
Cooling-heating phase transition and critical behavior of the charged
accelerating AdS black hole
|
10pages,4figure
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the cooling-heating phase transition of the charged accelerating
anti-de Sitter black hole in extended phase space, and investigate the critical
behavior of this black hole in extended phase space. By calculating the
thermodynamic quantities and state equation, we found that the charged
accelerating AdS black hole as thermodynamic system is similar to the van der
Waals system. The inversion temperature of this black hole is obtained, and
cooling-heating and isenthalpic curves are plotted in T-P plane. Our results
indicate that the inversion temperature for a given pressure increases with e,
and the acceleration parameter has the opposite effect, which the
cooling-heating curves decreases gradually with the the increases of a. We also
analyse the influence of acceleration parameter on isenthalpic curves, implying
that the phase transition point decreases with the increase of acceleration
factor under constant pressure.
|
[
{
"created": "Sun, 20 Sep 2020 09:54:29 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Oct 2021 10:19:33 GMT",
"version": "v2"
}
] |
2021-10-28
|
[
[
"Guo",
"Sen",
""
],
[
"Huang",
"Ya-Ling",
""
],
[
"Li",
"Guo-Ping",
""
]
] |
We study the cooling-heating phase transition of the charged accelerating anti-de Sitter black hole in extended phase space, and investigate the critical behavior of this black hole in extended phase space. By calculating the thermodynamic quantities and state equation, we found that the charged accelerating AdS black hole as thermodynamic system is similar to the van der Waals system. The inversion temperature of this black hole is obtained, and cooling-heating and isenthalpic curves are plotted in T-P plane. Our results indicate that the inversion temperature for a given pressure increases with e, and the acceleration parameter has the opposite effect, which the cooling-heating curves decreases gradually with the the increases of a. We also analyse the influence of acceleration parameter on isenthalpic curves, implying that the phase transition point decreases with the increase of acceleration factor under constant pressure.
| 9.346231
| 8.781372
| 7.321904
| 8.012283
| 8.670351
| 7.866086
| 9.162248
| 7.746791
| 8.541675
| 8.872283
| 8.747517
| 8.803638
| 8.242852
| 8.344265
| 8.309829
| 8.483
| 8.726926
| 8.111704
| 8.926618
| 8.303659
| 8.327535
|
hep-th/0312024
|
Yao-Zhong Zhang
|
Yao-Zhong Zhang
|
Coherent State Construction of Representations of osp(2|2) and Primary
Fields of osp(2|2) Conformal Field Theory
|
12 pages, cosmetic changes, to appear in Phys. Lett. A
|
Phys.Lett. A327 (2004) 442-451
|
10.1016/j.physleta.2004.05.017
| null |
hep-th cond-mat.dis-nn math-ph math.MP
| null |
Representations of the superalgebra $osp(2|2)$ and current superalgebra
$osp(2|2)^{(1)}_k$ in the standard basis are investigated. All
finite-dimensional typical and atypical representations of $osp(2|2)$ are
constructed by the vector coherent state method. Primary fields of the
non-unitary conformal field theory associated with $osp(2|2)^{(1)}_k$ in the
standard basis are constructed for arbitrary level $k$.
|
[
{
"created": "Tue, 2 Dec 2003 01:56:31 GMT",
"version": "v1"
},
{
"created": "Sat, 8 May 2004 04:57:32 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Zhang",
"Yao-Zhong",
""
]
] |
Representations of the superalgebra $osp(2|2)$ and current superalgebra $osp(2|2)^{(1)}_k$ in the standard basis are investigated. All finite-dimensional typical and atypical representations of $osp(2|2)$ are constructed by the vector coherent state method. Primary fields of the non-unitary conformal field theory associated with $osp(2|2)^{(1)}_k$ in the standard basis are constructed for arbitrary level $k$.
| 4.819553
| 4.018482
| 4.97211
| 4.322238
| 4.122152
| 3.897062
| 4.21571
| 4.1734
| 4.163836
| 5.537801
| 4.069134
| 4.114162
| 4.737642
| 4.271158
| 4.240288
| 4.395112
| 4.154855
| 4.214155
| 4.079405
| 4.704584
| 4.403112
|
1212.1238
|
Erich Poppitz
|
Erich Poppitz, Thomas Schaefer, Mithat Unsal
|
Universal mechanism of (semi-classical) deconfinement and
theta-dependence for all simple groups
|
29 pages, 10 figures; version to be published - added references to
important related previous work
| null |
10.1007/JHEP03(2013)087
| null |
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using the twisted partition function on R^3 x S^1, we argue that the
deconfinement phase transition in pure Yang-Mills theory for all simple gauge
groups is continuously connected to a quantum phase transition that can be
studied in a controlled way. We explicitly consider two classes of theories,
gauge theories with a center symmetry, such as SU(N_c) gauge theory for
arbitrary N_c, and theories without a center symmetry, such as G_2 gauge
theory. The mechanism governing the phase transition is universal and valid for
all simple groups. The perturbative one-loop potential as well as
monopole-instantons generate attraction among the eigenvalues of the Wilson
line. This is counter-acted by neutral bions --- topological excitations which
generate eigenvalue repulsion for all simple groups. The transition is driven
by the competition between these three effects. We study the transition in more
detail for the gauge groups SU(N_c), N_c>2, and G_2. In the case of G_2, there
is no change of symmetry, but the expectation value of the Wilson line exhibits
a discontinuity. We also examine the effect of the theta-angle on the phase
transition and critical temperature T_c(theta). The critical temperature is a
multi-branched function, which has a minimum at theta=pi as a result of
topological intereference.
|
[
{
"created": "Thu, 6 Dec 2012 05:38:56 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Mar 2013 18:55:00 GMT",
"version": "v2"
}
] |
2015-06-12
|
[
[
"Poppitz",
"Erich",
""
],
[
"Schaefer",
"Thomas",
""
],
[
"Unsal",
"Mithat",
""
]
] |
Using the twisted partition function on R^3 x S^1, we argue that the deconfinement phase transition in pure Yang-Mills theory for all simple gauge groups is continuously connected to a quantum phase transition that can be studied in a controlled way. We explicitly consider two classes of theories, gauge theories with a center symmetry, such as SU(N_c) gauge theory for arbitrary N_c, and theories without a center symmetry, such as G_2 gauge theory. The mechanism governing the phase transition is universal and valid for all simple groups. The perturbative one-loop potential as well as monopole-instantons generate attraction among the eigenvalues of the Wilson line. This is counter-acted by neutral bions --- topological excitations which generate eigenvalue repulsion for all simple groups. The transition is driven by the competition between these three effects. We study the transition in more detail for the gauge groups SU(N_c), N_c>2, and G_2. In the case of G_2, there is no change of symmetry, but the expectation value of the Wilson line exhibits a discontinuity. We also examine the effect of the theta-angle on the phase transition and critical temperature T_c(theta). The critical temperature is a multi-branched function, which has a minimum at theta=pi as a result of topological intereference.
| 7.44547
| 7.009169
| 7.714367
| 6.981175
| 7.820938
| 6.770786
| 7.219083
| 7.233865
| 6.912197
| 8.143138
| 6.533218
| 6.617364
| 7.102168
| 6.742766
| 7.012869
| 6.817809
| 6.931094
| 6.790463
| 6.779011
| 6.908721
| 6.935361
|
0807.4886
|
Peter Schupp
|
Peter Schupp, Jiangyang You
|
UV/IR mixing in noncommutative QED defined by Seiberg-Witten map
|
12 pages
|
JHEP 0808:107,2008
|
10.1088/1126-6708/2008/08/107
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Noncommutative gauge theories defined via Seiberg-Witten map have desirable
properties that theories defined directly in terms of noncommutative fields
lack, covariance and unrestricted choice of gauge group and charge being among
them, but nonperturbative results in the deformation parameter \theta are hard
to obtain. In this article we use a \theta-exact approach to study UV/IR mixing
in a noncommutative quantum electrodynamics (NCQED) model defined via
Seiberg-Witten map. The fermion contribution of the one loop correction to the
photon propagator is computed and it is found that it gives the same UV/IR
mixing term as a NCQED model without Seiberg-Witten map.
|
[
{
"created": "Wed, 30 Jul 2008 16:09:14 GMT",
"version": "v1"
}
] |
2011-03-02
|
[
[
"Schupp",
"Peter",
""
],
[
"You",
"Jiangyang",
""
]
] |
Noncommutative gauge theories defined via Seiberg-Witten map have desirable properties that theories defined directly in terms of noncommutative fields lack, covariance and unrestricted choice of gauge group and charge being among them, but nonperturbative results in the deformation parameter \theta are hard to obtain. In this article we use a \theta-exact approach to study UV/IR mixing in a noncommutative quantum electrodynamics (NCQED) model defined via Seiberg-Witten map. The fermion contribution of the one loop correction to the photon propagator is computed and it is found that it gives the same UV/IR mixing term as a NCQED model without Seiberg-Witten map.
| 7.070958
| 6.70842
| 7.336194
| 6.529908
| 7.021626
| 7.039002
| 6.554541
| 6.67302
| 6.493469
| 7.798666
| 6.65538
| 6.436203
| 6.755867
| 6.547741
| 6.51857
| 6.549952
| 6.546882
| 6.310618
| 6.638533
| 6.857822
| 6.545398
|
hep-th/9709229
|
Igor Kanatczikow
|
I.V. Kanatchikov
|
Canonical Structure of Classical Field Theory in the Polymomentum Phase
Space
|
45 pages, LaTeX2e, to appear in Reports on Mathematical Physics v. 41
No. 1 (1998)
|
Rept.Math.Phys. 41 (1998) 49-90
|
10.1016/S0034-4877(98)80182-1
| null |
hep-th dg-ga gr-qc math-ph math.DG math.MP
| null |
Canonical structure of the space-time symmetric analogue of the Hamiltonian
formalism in field theory based on the De Donder-Weyl (DW) theory is studied.
In $n$ space-time dimensions the set of $n$ polymomenta is associated to the
space-time derivatives of field variables. The polysymplectic $(n+1)$-form
generalizes the simplectic form and gives rise to a map between horizontal
forms playing the role of dynamical variables and vertical multivectors
generalizing Hamiltonian vector fields. Graded Poisson bracket is defined on
forms and leads to the structure of a Z-graded Lie algebra on the subspace of
the so-called Hamiltonian forms for which the map above exists. A generalized
Poisson structure arises in the form of what we call a ``higher-order'' and a
right Gerstenhaber algebra. Field euations and the equations of motion of forms
are formulated in terms of the graded Poisson bracket with the DW Hamiltonian
$n$-form $H\vol$ ($\vol$ is the space-time volume form and $H$ is the DW
Hamiltonian function). A few applications to scalar fields, electrodynamics and
the Nambu-Goto string, and a relation to the standard Hamiltonian formalism in
field theory are briefly discussed. This is a detailed and improved account of
our earlier concise communications (hep-th/9312162, hep-th/9410238, and
hep-th/9511039).
|
[
{
"created": "Tue, 30 Sep 1997 23:52:15 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Kanatchikov",
"I. V.",
""
]
] |
Canonical structure of the space-time symmetric analogue of the Hamiltonian formalism in field theory based on the De Donder-Weyl (DW) theory is studied. In $n$ space-time dimensions the set of $n$ polymomenta is associated to the space-time derivatives of field variables. The polysymplectic $(n+1)$-form generalizes the simplectic form and gives rise to a map between horizontal forms playing the role of dynamical variables and vertical multivectors generalizing Hamiltonian vector fields. Graded Poisson bracket is defined on forms and leads to the structure of a Z-graded Lie algebra on the subspace of the so-called Hamiltonian forms for which the map above exists. A generalized Poisson structure arises in the form of what we call a ``higher-order'' and a right Gerstenhaber algebra. Field euations and the equations of motion of forms are formulated in terms of the graded Poisson bracket with the DW Hamiltonian $n$-form $H\vol$ ($\vol$ is the space-time volume form and $H$ is the DW Hamiltonian function). A few applications to scalar fields, electrodynamics and the Nambu-Goto string, and a relation to the standard Hamiltonian formalism in field theory are briefly discussed. This is a detailed and improved account of our earlier concise communications (hep-th/9312162, hep-th/9410238, and hep-th/9511039).
| 9.290705
| 10.698307
| 10.445877
| 9.052873
| 10.175862
| 10.088189
| 9.847675
| 8.824036
| 9.553333
| 11.422401
| 9.321074
| 9.378898
| 9.677487
| 9.42452
| 9.560539
| 9.367585
| 9.583089
| 9.394458
| 9.412995
| 9.755787
| 9.239415
|
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