id
stringlengths 9
14
| submitter
stringlengths 1
56
⌀ | authors
stringlengths 5
835
| title
stringlengths 5
209
| comments
stringlengths 2
590
⌀ | journal-ref
stringlengths 11
239
⌀ | doi
stringlengths 14
94
⌀ | report-no
stringlengths 4
104
⌀ | categories
stringclasses 610
values | license
stringclasses 9
values | orig_abstract
stringlengths 22
2.01k
| versions
listlengths 1
16
| update_date
stringdate 2007-05-23 00:00:00
2024-08-16 00:00:00
| authors_parsed
listlengths 1
32
| abstract
stringlengths 19
2.01k
| perplexity_Llama-3.1-8B
float64 2.29
655
| perplexity_s1-L-3.1-8B-base
float64 2.77
362
| perplexity_s2-L-3.1-8B-base
float64 3.14
496
| perplexity_s3-L-3.1-8B-base_v3
float64 2.9
431
| perplexity_s4-L-3.1-8B-base
float64 2.88
422
| perplexity_s5-L-3.1-8B-base
float64 2.95
414
| perplexity_s6-L-3.1-8B-base
float64 2.99
340
| perplexity_s7-L-3.1-8B-base
float64 2.91
467
| perplexity_s8-L-3.1-8B-base
float64 2.89
220
| perplexity_s9-L-3.1-8B-base
float64 3.21
1.68k
| perplexity_s10-L-3.1-8B-base
float64 2.98
600
| perplexity_s1-L-3.1-8B-qkv_v2
float64 2.92
729
| perplexity_s2-L-3.1-8B-qkv
float64 3.05
621
| perplexity_s3-L-3.1-8B-qkv
float64 2.96
631
| perplexity_s4-L-3.1-8B-qkv
float64 2.86
570
| perplexity_s5-L-3.1-8B-qkv
float64 2.93
558
| perplexity_s6-L-3.1-8B-qkv
float64 2.96
669
| perplexity_s7-L-3.1-8B-qkv2
float64 2.95
682
| perplexity_s8-L-3.1-8B-qkv
float64 2.92
502
| perplexity_s9-L-3.1-8B-qkv
float64 3.06
549
| perplexity_s10-L-3.1-8B-qkv
float64 2.95
795
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0905.0522
|
Jun-Bao Wu
|
Bin Chen, Jun-Bao Wu
|
Tree-level Split Helicity Amplitudes in Ambitwistor Space
|
20 pages, 16 figures; minor changes; clarifications added, 22 pages,
16 figures
|
Phys.Rev.D80:125031,2009
|
10.1103/PhysRevD.80.125031
|
KIAS-P09018
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study all tree-level split helicity gluon amplitudes by using the recently
proposed BCFW recursion relation and Hodges diagrams in ambitwistor space. We
pick out the contributing diagrams and find that all of them can be divided
into triangles in a suitable way. We give the explicit expressions for all of
these amplitudes. As an example, we reproduce the six gluon split NMHV
amplitudes in momentum space.
|
[
{
"created": "Tue, 5 May 2009 03:43:06 GMT",
"version": "v1"
},
{
"created": "Tue, 12 May 2009 09:15:45 GMT",
"version": "v2"
},
{
"created": "Thu, 30 Jul 2009 05:27:20 GMT",
"version": "v3"
}
] |
2010-01-07
|
[
[
"Chen",
"Bin",
""
],
[
"Wu",
"Jun-Bao",
""
]
] |
We study all tree-level split helicity gluon amplitudes by using the recently proposed BCFW recursion relation and Hodges diagrams in ambitwistor space. We pick out the contributing diagrams and find that all of them can be divided into triangles in a suitable way. We give the explicit expressions for all of these amplitudes. As an example, we reproduce the six gluon split NMHV amplitudes in momentum space.
| 13.526242
| 10.486633
| 14.282084
| 10.819595
| 10.845859
| 11.202471
| 9.691189
| 9.841158
| 10.756338
| 15.953635
| 10.389203
| 10.021448
| 12.357002
| 11.584022
| 10.130176
| 10.865091
| 10.329788
| 10.135256
| 10.955538
| 12.40287
| 10.835461
|
hep-th/9404145
|
Valeri Dvoeglazov
|
Valeri V. Dvoeglazov
|
The Dirac-Dowker Oscillator
|
LaTeX file, 4pp. Preprint EFUAZ 94-03
|
Nuovo Cim.A107:1785-1788,1994
|
10.1007/BF02780711
| null |
hep-th
| null |
The oscillator-like interaction is introduced in the equation for the
particle of arbitrary spin, given by Dirac and re-written to a matrix form by
Dowker.
|
[
{
"created": "Sat, 23 Apr 1994 01:49:51 GMT",
"version": "v1"
}
] |
2011-07-19
|
[
[
"Dvoeglazov",
"Valeri V.",
""
]
] |
The oscillator-like interaction is introduced in the equation for the particle of arbitrary spin, given by Dirac and re-written to a matrix form by Dowker.
| 51.60939
| 40.03307
| 41.636051
| 37.205204
| 34.977428
| 39.905888
| 48.187145
| 35.108158
| 36.458076
| 35.464687
| 38.016163
| 39.478725
| 37.856789
| 37.609158
| 37.859695
| 41.179039
| 37.248642
| 35.5793
| 33.64291
| 37.504436
| 36.194908
|
2112.06967
|
Arpan Bhattacharyya
|
Aranya Bhattacharya, Arpan Bhattacharyya, Pratik Nandy, Ayan K. Patra
|
Bath deformations, islands and holographic complexity
|
27 pages, 7 figures, minor typo corrected and references updated
|
Phys. Rev. D 105, 066019 (2022)
|
10.1103/PhysRevD.105.066019
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Considering a doubly holographic model, we study the evolution of holographic
subregion complexity corresponding to deformations of bath state by a relevant
scalar operator, which corresponds to a renormalization group flow from the
AdS-Schwarzschild to the Kasner universe in the bulk. The subregion complexity
shows a discontinuous jump at Page time at a fixed perturbation, where the
discontinuity depends solely on the system's parameters. We show that the
amount of discontinuity decreases with the perturbation as well as with the
scaling dimension of the relevant scalar operator.
|
[
{
"created": "Mon, 13 Dec 2021 19:09:35 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Dec 2021 06:59:21 GMT",
"version": "v2"
}
] |
2022-04-08
|
[
[
"Bhattacharya",
"Aranya",
""
],
[
"Bhattacharyya",
"Arpan",
""
],
[
"Nandy",
"Pratik",
""
],
[
"Patra",
"Ayan K.",
""
]
] |
Considering a doubly holographic model, we study the evolution of holographic subregion complexity corresponding to deformations of bath state by a relevant scalar operator, which corresponds to a renormalization group flow from the AdS-Schwarzschild to the Kasner universe in the bulk. The subregion complexity shows a discontinuous jump at Page time at a fixed perturbation, where the discontinuity depends solely on the system's parameters. We show that the amount of discontinuity decreases with the perturbation as well as with the scaling dimension of the relevant scalar operator.
| 11.38956
| 8.433786
| 11.64457
| 8.652154
| 9.402596
| 9.442316
| 8.517796
| 8.869871
| 9.224483
| 13.575807
| 8.646052
| 10.197574
| 11.102491
| 10.050467
| 10.048684
| 9.684181
| 9.681415
| 10.230127
| 9.836057
| 11.417408
| 9.770287
|
hep-th/0110251
|
Nikolai Sushilov
|
S. I. Kruglov
|
Dirac-K\"Ahler Equation
|
42 pages, LaTeX. Corrections in Eqs. (29), (88), (99). Extended
version of hep-th/0110060
|
Int. J. Theor. Phys. 41 (2002) 653-687
| null | null |
hep-th
| null |
Tensor, matrix and quaternion formulations of Dirac-K\"ahler equation for
massive and massless fields are considered. The equation matrices obtained are
simple linear combinations of matrix elements in the 16-dimensional space. The
projection matrix-dyads defining all the 16 independent equation solutions are
found. A method of computing the traces of 16-dimensional Petiau-Duffin-Kemmer
matrix product is considered. We show that the symmetry group of the
Dirac-K\"ahler tensor fields for charged particles is SO(4,2). The conservation
currents corresponding this symmetry are constructed. We analyze
transformations of the Lorentz group and quaternion fields. Supersymmetry of
the Dirac-K\"ahler fields with tensor and spinor parameters is investigated. We
show the possibility of constructing a gauge model of interacting
Dirac-K\"ahler fields where the gauge group is the noncompact group under
consideration.
|
[
{
"created": "Sat, 27 Oct 2001 15:10:45 GMT",
"version": "v1"
},
{
"created": "Tue, 7 May 2002 21:22:51 GMT",
"version": "v2"
},
{
"created": "Mon, 7 Apr 2003 21:54:03 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Kruglov",
"S. I.",
""
]
] |
Tensor, matrix and quaternion formulations of Dirac-K\"ahler equation for massive and massless fields are considered. The equation matrices obtained are simple linear combinations of matrix elements in the 16-dimensional space. The projection matrix-dyads defining all the 16 independent equation solutions are found. A method of computing the traces of 16-dimensional Petiau-Duffin-Kemmer matrix product is considered. We show that the symmetry group of the Dirac-K\"ahler tensor fields for charged particles is SO(4,2). The conservation currents corresponding this symmetry are constructed. We analyze transformations of the Lorentz group and quaternion fields. Supersymmetry of the Dirac-K\"ahler fields with tensor and spinor parameters is investigated. We show the possibility of constructing a gauge model of interacting Dirac-K\"ahler fields where the gauge group is the noncompact group under consideration.
| 13.761572
| 9.590229
| 14.657076
| 11.109646
| 10.895416
| 10.355043
| 10.774465
| 11.204316
| 11.159498
| 17.713848
| 11.808963
| 12.284728
| 13.736321
| 12.974294
| 13.046223
| 12.808817
| 12.906588
| 12.633101
| 13.054085
| 14.122702
| 12.583721
|
2112.04326
|
Janos Balog
|
Sinya Aoki and J\'anos Balog
|
HKLL bulk reconstruction for small $\Delta$
|
28 pages, LaTeX, no figures
| null |
10.1007/JHEP02(2022)015
| null |
hep-th
|
http://creativecommons.org/licenses/by-nc-nd/4.0/
|
We discuss the extension of the HKLL (Hamilton, Kabat, Lifschytz, and Lowe)
bulk reconstruction for non-interacting scalar fields corresponding to
conformal weights $\Delta$ smaller than the original condition $\Delta > d-1$.
We give explicit formulas for the cases $d-2<\Delta\leq d-1$ and $\Delta=d-s$
with integer $s$. In the latter case we show that smearing CFT fields over a
region of the boundary consisting of points light-like separated from the bulk
point is sufficient for bulk reconstruction, whereas in general smearing over
all light-like and space-like separated points is required.
|
[
{
"created": "Wed, 8 Dec 2021 15:14:08 GMT",
"version": "v1"
},
{
"created": "Sun, 19 Dec 2021 14:33:03 GMT",
"version": "v2"
}
] |
2022-02-16
|
[
[
"Aoki",
"Sinya",
""
],
[
"Balog",
"János",
""
]
] |
We discuss the extension of the HKLL (Hamilton, Kabat, Lifschytz, and Lowe) bulk reconstruction for non-interacting scalar fields corresponding to conformal weights $\Delta$ smaller than the original condition $\Delta > d-1$. We give explicit formulas for the cases $d-2<\Delta\leq d-1$ and $\Delta=d-s$ with integer $s$. In the latter case we show that smearing CFT fields over a region of the boundary consisting of points light-like separated from the bulk point is sufficient for bulk reconstruction, whereas in general smearing over all light-like and space-like separated points is required.
| 9.884665
| 8.905807
| 11.698588
| 8.35569
| 8.783525
| 8.870289
| 9.604815
| 7.983757
| 8.67467
| 11.506424
| 8.194204
| 7.680113
| 8.863105
| 7.892905
| 8.070927
| 7.899942
| 8.092304
| 7.941482
| 8.020968
| 9.081373
| 8.255028
|
hep-th/9811114
|
Luiz Alberto Manzoni Vieira Junior
|
L. A. Manzoni, B. M. Pimentel and J. L. Tomazelli
|
Axial Anomaly through Analytic Regularization
|
8 pages, LaTeX, no figures
|
Mod.Phys.Lett. A14 (1999) 177-184
|
10.1142/S0217732399000213
| null |
hep-th
| null |
In this work we consider the 2-point Green's functions in (1+1) dimensional
quantum electrodynamics and show that the correct implementation of analytic
regularization gives a gauge invariant result for the vaccum polarization
amplitude and the correct coefficient for the axial anomaly.
|
[
{
"created": "Thu, 12 Nov 1998 19:02:35 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Manzoni",
"L. A.",
""
],
[
"Pimentel",
"B. M.",
""
],
[
"Tomazelli",
"J. L.",
""
]
] |
In this work we consider the 2-point Green's functions in (1+1) dimensional quantum electrodynamics and show that the correct implementation of analytic regularization gives a gauge invariant result for the vaccum polarization amplitude and the correct coefficient for the axial anomaly.
| 12.65232
| 9.594559
| 10.707879
| 9.238935
| 11.332863
| 9.656537
| 9.033765
| 9.562895
| 9.305942
| 11.470113
| 9.46602
| 9.802397
| 9.935928
| 10.088891
| 9.873002
| 10.296276
| 9.894975
| 10.652493
| 9.934337
| 10.113174
| 10.236919
|
hep-th/0205021
|
Bernd Schroers
|
F. A. Bais, N. M. Muller and B. J. Schroers
|
Quantum group symmetry and particle scattering in (2+1)-dimensional
quantum gravity
|
45 pages, amslatex
|
Nucl.Phys. B640 (2002) 3-45
|
10.1016/S0550-3213(02)00572-2
|
HWM-01-45, EMPG-02-07, ITFA-2002-12
|
hep-th gr-qc math.QA
| null |
Starting with the Chern-Simons formulation of (2+1)-dimensional gravity we
show that the gravitational interactions deform the Poincare symmetry of flat
space-time to a quantum group symmetry. The relevant quantum group is the
quantum double of the universal cover of the (2+1)-dimensional Lorentz group,
or Lorentz double for short. We construct the Hilbert space of two gravitating
particles and use the universal R-matrix of the Lorentz double to derive a
general expression for the scattering cross section of gravitating particles
with spin. In appropriate limits our formula reproduces the semi-classical
scattering formulae found by 't Hooft, Deser, Jackiw and de Sousa Gerbert.
|
[
{
"created": "Thu, 2 May 2002 13:34:37 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Bais",
"F. A.",
""
],
[
"Muller",
"N. M.",
""
],
[
"Schroers",
"B. J.",
""
]
] |
Starting with the Chern-Simons formulation of (2+1)-dimensional gravity we show that the gravitational interactions deform the Poincare symmetry of flat space-time to a quantum group symmetry. The relevant quantum group is the quantum double of the universal cover of the (2+1)-dimensional Lorentz group, or Lorentz double for short. We construct the Hilbert space of two gravitating particles and use the universal R-matrix of the Lorentz double to derive a general expression for the scattering cross section of gravitating particles with spin. In appropriate limits our formula reproduces the semi-classical scattering formulae found by 't Hooft, Deser, Jackiw and de Sousa Gerbert.
| 5.899747
| 6.424085
| 5.965233
| 5.292375
| 5.920243
| 6.10273
| 5.619067
| 5.891359
| 5.814298
| 6.91643
| 5.746507
| 5.309668
| 5.562898
| 5.522364
| 5.543831
| 5.464141
| 5.829175
| 5.49969
| 5.516341
| 5.747141
| 5.589422
|
1611.01198
|
Michael Geracie
|
Michael Geracie
|
Galilean Geometry in Condensed Matter Systems
|
PhD Thesis, 92 Pages, contains substantial overlap with
arXiv:1407.1242, arXiv:1408.6843, arXiv:1503.02680, arXiv:1503.02682, and
arXiv:1609.06729
| null | null | null |
hep-th cond-mat.mes-hall gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a systematic means to impose Galilean invariance within field
theory. We begin by defining the most general background geometries consistent
with Galilean invariance and then turn to applications within effective field
theory, fluid dynamics, and the quantum Hall effect.
|
[
{
"created": "Thu, 3 Nov 2016 21:24:53 GMT",
"version": "v1"
}
] |
2023-02-02
|
[
[
"Geracie",
"Michael",
""
]
] |
We present a systematic means to impose Galilean invariance within field theory. We begin by defining the most general background geometries consistent with Galilean invariance and then turn to applications within effective field theory, fluid dynamics, and the quantum Hall effect.
| 12.007545
| 10.747586
| 10.921557
| 9.827317
| 10.147246
| 9.691284
| 10.359085
| 10.692261
| 10.61031
| 10.018435
| 10.473291
| 10.582593
| 11.246005
| 10.489639
| 10.39171
| 10.428586
| 10.171924
| 10.453063
| 11.032101
| 10.760933
| 10.443629
|
1301.3387
|
Hossein Yavartanoo
|
Maria Johnstone, M. M. Sheikh-Jabbari, Joan Simon and Hossein
Yavartanoo
|
Near-Extremal Vanishing Horizon AdS5 Black Holes and Their CFT Duals
|
36 pages, 3 figures, updated to published version
|
JHEP04(2013)045
|
10.1007/JHEP04(2013)045
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider families of charged rotating asymptotically AdS5 Extremal black
holes with Vanishing Horizon (EVH black holes) whose near horizon geometries
develop locally AdS3 throats. Using the AdS3/CFT2 duality, we propose an
EVH/CFT2 correspondence to describe the near-horizon low energy IR dynamics of
near-EVH black holes involving a specific large N limit of the 4d N = 4 SYM. We
give a map between the UV and IR near-EVH excitations, showing that the UV
first law of thermodynamics reduces to the IR first law satisfied by the near
horizon BTZ black holes in this near-EVH limit. We also discuss the connection
between our EVH/CFT proposal and the Kerr/CFT correspondence in the cases where
the two overlap.
|
[
{
"created": "Tue, 15 Jan 2013 15:54:24 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Apr 2013 03:36:49 GMT",
"version": "v2"
}
] |
2015-06-12
|
[
[
"Johnstone",
"Maria",
""
],
[
"Sheikh-Jabbari",
"M. M.",
""
],
[
"Simon",
"Joan",
""
],
[
"Yavartanoo",
"Hossein",
""
]
] |
We consider families of charged rotating asymptotically AdS5 Extremal black holes with Vanishing Horizon (EVH black holes) whose near horizon geometries develop locally AdS3 throats. Using the AdS3/CFT2 duality, we propose an EVH/CFT2 correspondence to describe the near-horizon low energy IR dynamics of near-EVH black holes involving a specific large N limit of the 4d N = 4 SYM. We give a map between the UV and IR near-EVH excitations, showing that the UV first law of thermodynamics reduces to the IR first law satisfied by the near horizon BTZ black holes in this near-EVH limit. We also discuss the connection between our EVH/CFT proposal and the Kerr/CFT correspondence in the cases where the two overlap.
| 8.295572
| 7.507525
| 10.041348
| 7.595116
| 7.80913
| 7.50097
| 7.536681
| 7.480784
| 7.84354
| 10.349422
| 7.796548
| 7.96217
| 8.362711
| 7.756215
| 8.379883
| 7.783646
| 7.704118
| 7.975918
| 7.986808
| 8.650034
| 7.862572
|
hep-th/9409179
|
Yuji Satoh
|
Y. Kazama, Y. Satoh and A. Tsuchiya
|
A Unified Approach to Solvable Models of Dilaton Gravity in
Two-Dimensions Based on Symmetry
|
29 pages, LaTeX
|
Phys.Rev.D51:4265-4276,1995
|
10.1103/PhysRevD.51.4265
|
UT-Komaba 94-16
|
hep-th
| null |
A large class of solvable models of dilaton gravity in two space-time
dimensions, capable of describing black hole geometry, are analyzed in a
unified way as non-linear sigma models possessing a special symmetry. This
symmetry, which can be neatly formulated in the target-space-covariant manner,
allows one to decompose the non-linearly interacting dilaton-gravity system
into a free field and a field satisfying the Liouville equation with in general
non-vanishing cosmological term. In this formulation, all the existent models
are shown to fall into the category with vanishing cosmological constant.
General analysis of the space-time structureinduced by a matter shock wave is
performed and new models, with and without the cosmological term, are
discussed.
|
[
{
"created": "Thu, 29 Sep 1994 12:18:38 GMT",
"version": "v1"
},
{
"created": "Sat, 1 Oct 1994 12:15:05 GMT",
"version": "v2"
}
] |
2011-07-19
|
[
[
"Kazama",
"Y.",
""
],
[
"Satoh",
"Y.",
""
],
[
"Tsuchiya",
"A.",
""
]
] |
A large class of solvable models of dilaton gravity in two space-time dimensions, capable of describing black hole geometry, are analyzed in a unified way as non-linear sigma models possessing a special symmetry. This symmetry, which can be neatly formulated in the target-space-covariant manner, allows one to decompose the non-linearly interacting dilaton-gravity system into a free field and a field satisfying the Liouville equation with in general non-vanishing cosmological term. In this formulation, all the existent models are shown to fall into the category with vanishing cosmological constant. General analysis of the space-time structureinduced by a matter shock wave is performed and new models, with and without the cosmological term, are discussed.
| 11.317928
| 9.462217
| 12.032775
| 10.187817
| 10.385509
| 10.552312
| 10.078979
| 9.403152
| 9.962531
| 11.686857
| 9.975961
| 10.73152
| 11.053325
| 10.571452
| 10.808919
| 10.856261
| 10.921577
| 10.396915
| 10.594463
| 10.651299
| 10.629857
|
1511.06304
|
Maxim Zabzine
|
Jian Qiu, Luigi Tizzano, Jacob Winding and Maxim Zabzine
|
Modular properties of full 5D SYM partition function
|
32 pages, refs and comments added, example added
| null |
10.1007/JHEP03(2016)193
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study properties of the full partition function for the $U(1)$ 5D
$\mathcal{N}=2^*$ gauge theory with adjoint hypermultiplet of mass $M$. This
theory is ultimately related to abelian 6D (2,0) theory. We construct the full
non-perturbative partition function on toric Sasaki-Einstein manifolds by
gluing flat copies of the Nekrasov partition function and we express the full
partition function in terms of the generalized double elliptic gamma function
$G_2^C$ associated with a certain moment map cone $C$. The answer exhibits a
curious $SL(4,\mathbb{Z})$ modular property. Finally, we propose a set of rules
to construct the partition function that resembles the calculation of 5D
supersymmetric partition function with the insertion of defects of various
co-dimensions.
|
[
{
"created": "Thu, 19 Nov 2015 18:49:51 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Dec 2015 11:55:14 GMT",
"version": "v2"
},
{
"created": "Mon, 28 Mar 2016 08:33:45 GMT",
"version": "v3"
}
] |
2016-05-04
|
[
[
"Qiu",
"Jian",
""
],
[
"Tizzano",
"Luigi",
""
],
[
"Winding",
"Jacob",
""
],
[
"Zabzine",
"Maxim",
""
]
] |
We study properties of the full partition function for the $U(1)$ 5D $\mathcal{N}=2^*$ gauge theory with adjoint hypermultiplet of mass $M$. This theory is ultimately related to abelian 6D (2,0) theory. We construct the full non-perturbative partition function on toric Sasaki-Einstein manifolds by gluing flat copies of the Nekrasov partition function and we express the full partition function in terms of the generalized double elliptic gamma function $G_2^C$ associated with a certain moment map cone $C$. The answer exhibits a curious $SL(4,\mathbb{Z})$ modular property. Finally, we propose a set of rules to construct the partition function that resembles the calculation of 5D supersymmetric partition function with the insertion of defects of various co-dimensions.
| 7.933959
| 8.326685
| 10.819884
| 8.27397
| 8.10964
| 8.075495
| 8.281622
| 8.544732
| 8.478972
| 11.256239
| 8.076644
| 8.070978
| 8.632135
| 7.82461
| 7.913332
| 7.740183
| 7.98697
| 8.127173
| 7.950629
| 8.827556
| 7.721464
|
hep-th/0106117
|
Jerome P. Gauntlett
|
Jerome P. Gauntlett, Nakwoo Kim, Dario Martelli and Daniel Waldram
|
Wrapped fivebranes and N=2 super Yang-Mills theory
|
24 Latex pages, two figures;v2 typos corrected, references added
|
Phys.Rev. D64 (2001) 106008
|
10.1103/PhysRevD.64.106008
|
QMUL-PH-01-07
|
hep-th
| null |
We construct D=10 supergravity solutions corresponding to type IIB fivebranes
wrapping a two-sphere in a Calabi-Yau two-fold. These are related in the IR to
the large N limit of pure N=2 SU(N) super Yang-Mills theory. We show that the
singularities in the IR correspond to the wrapped branes being distributed on a
ring. We analyse the dynamics of a probe fivebrane and show that it
incorporates the full perturbative structure of the gauge theory. For a class
of solutions the two-dimensional moduli space is non-singular and we match the
result for the corresponding slice of the Coulomb branch of the gauge theory.
|
[
{
"created": "Thu, 14 Jun 2001 08:03:29 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Aug 2001 13:26:45 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Gauntlett",
"Jerome P.",
""
],
[
"Kim",
"Nakwoo",
""
],
[
"Martelli",
"Dario",
""
],
[
"Waldram",
"Daniel",
""
]
] |
We construct D=10 supergravity solutions corresponding to type IIB fivebranes wrapping a two-sphere in a Calabi-Yau two-fold. These are related in the IR to the large N limit of pure N=2 SU(N) super Yang-Mills theory. We show that the singularities in the IR correspond to the wrapped branes being distributed on a ring. We analyse the dynamics of a probe fivebrane and show that it incorporates the full perturbative structure of the gauge theory. For a class of solutions the two-dimensional moduli space is non-singular and we match the result for the corresponding slice of the Coulomb branch of the gauge theory.
| 7.909171
| 6.674992
| 9.286796
| 7.344266
| 7.261673
| 7.131965
| 6.698335
| 7.136511
| 7.178089
| 9.650168
| 6.949172
| 7.492278
| 8.322695
| 7.622585
| 7.339952
| 7.488311
| 7.442223
| 7.693153
| 7.364093
| 8.178622
| 7.572955
|
2008.09117
|
Ling Lin
|
Fabio Apruzzi, Markus Dierigl, Ling Lin
|
The Fate of Discrete 1-Form Symmetries in 6d
|
48 pages + appendices, 1 figure; v3: typos correct, improved
discussion, published version
|
SciPost Phys. 12, 047 (2022)
|
10.21468/SciPostPhys.12.2.047
|
CERN-TH-2020-132
|
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
Recently introduced generalized global symmetries have been useful in order
to understand non-perturbative aspects of quantum field theories in four and
lower dimensions. In this paper we focus on 1-form symmetries of weakly coupled
6d supersymmetric gauge theories coupled to dynamical tensor multiplets. We
study the consistency of global 1-form symmetries corresponding to the center
of the gauge groups, or subgroups thereof, by activating their background
fields, which makes the instanton density fractional. In 6d, an instanton
background for a given gauge theory sources BPS strings via tadpole
cancellation. The non-trivial 1-form symmetry background configurations
contribute to the charge of the BPS strings. However, Dirac quantization
imposes restrictions on the consistent 1-form backgrounds, since they can in
general lead to and induce fractional charges, thus making (part of) the
putative higher-form symmetry inconsistent. This gives explicit criteria to
determine whether the discrete 1-form symmetries are realized. We implement
these criteria in concrete examples originating from string compactifications.
We also corroborate this by finding that a non-trivial fractional contribution
is related to states which explicitly break the global 1-form symmetry
appearing as massive excitations of the 6d BPS strings. For 6d theories
consistently coupled to gravity, this hints at a symmetry breaking tower of
states. When the fractional contributions are absent, the F-theory realization
of the theories points to the gauging of the 1-form symmetry via the presence
of non-trivial Mordell--Weil torsion.
|
[
{
"created": "Thu, 20 Aug 2020 18:00:00 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Sep 2020 14:35:34 GMT",
"version": "v2"
},
{
"created": "Tue, 1 Feb 2022 12:46:24 GMT",
"version": "v3"
}
] |
2022-02-02
|
[
[
"Apruzzi",
"Fabio",
""
],
[
"Dierigl",
"Markus",
""
],
[
"Lin",
"Ling",
""
]
] |
Recently introduced generalized global symmetries have been useful in order to understand non-perturbative aspects of quantum field theories in four and lower dimensions. In this paper we focus on 1-form symmetries of weakly coupled 6d supersymmetric gauge theories coupled to dynamical tensor multiplets. We study the consistency of global 1-form symmetries corresponding to the center of the gauge groups, or subgroups thereof, by activating their background fields, which makes the instanton density fractional. In 6d, an instanton background for a given gauge theory sources BPS strings via tadpole cancellation. The non-trivial 1-form symmetry background configurations contribute to the charge of the BPS strings. However, Dirac quantization imposes restrictions on the consistent 1-form backgrounds, since they can in general lead to and induce fractional charges, thus making (part of) the putative higher-form symmetry inconsistent. This gives explicit criteria to determine whether the discrete 1-form symmetries are realized. We implement these criteria in concrete examples originating from string compactifications. We also corroborate this by finding that a non-trivial fractional contribution is related to states which explicitly break the global 1-form symmetry appearing as massive excitations of the 6d BPS strings. For 6d theories consistently coupled to gravity, this hints at a symmetry breaking tower of states. When the fractional contributions are absent, the F-theory realization of the theories points to the gauging of the 1-form symmetry via the presence of non-trivial Mordell--Weil torsion.
| 11.052771
| 11.13052
| 12.801398
| 10.998469
| 11.457947
| 11.430081
| 10.924069
| 11.010018
| 10.921963
| 13.213859
| 10.991772
| 10.813411
| 11.571509
| 10.667488
| 10.890686
| 10.702672
| 10.588424
| 11.051269
| 10.855621
| 11.384794
| 10.471983
|
1111.6709
|
Takuya Saka
|
Katsushi Ito, Hiroaki Nakajima, Takuya Saka and Shin Sasaki
|
N=4 Instanton Calculus in Omega and R-R Backgrounds
|
28 pages
|
Nuclear Physics B 860 (2012) 267
|
10.1016/j.nuclphysb.2012.03.001
|
TIT/HEP-615; KIAS-P11060
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the instanton calculus for N=4 super Yang-Mills theory in
ten-dimensional Omega-background with the R-symmetry Wilson line gauge field.
From the ADHM construction of instantons in the background, we obtain the
deformed instanton effective action. For a certain case we get the effective
action of N=2^* theory in the Omega-background. We also study the low-energy
effective D(-1)-brane action for the D3/D(-1)-brane system in the R-R 3-form
field strength backgrounds and find that the action agrees with the instanton
effective action in the Omega-background.
|
[
{
"created": "Tue, 29 Nov 2011 07:03:32 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Dec 2011 05:27:46 GMT",
"version": "v2"
},
{
"created": "Thu, 19 Jan 2012 08:37:23 GMT",
"version": "v3"
},
{
"created": "Mon, 2 Apr 2012 13:31:33 GMT",
"version": "v4"
}
] |
2015-06-03
|
[
[
"Ito",
"Katsushi",
""
],
[
"Nakajima",
"Hiroaki",
""
],
[
"Saka",
"Takuya",
""
],
[
"Sasaki",
"Shin",
""
]
] |
We study the instanton calculus for N=4 super Yang-Mills theory in ten-dimensional Omega-background with the R-symmetry Wilson line gauge field. From the ADHM construction of instantons in the background, we obtain the deformed instanton effective action. For a certain case we get the effective action of N=2^* theory in the Omega-background. We also study the low-energy effective D(-1)-brane action for the D3/D(-1)-brane system in the R-R 3-form field strength backgrounds and find that the action agrees with the instanton effective action in the Omega-background.
| 7.948313
| 6.128107
| 9.146657
| 6.711623
| 6.937224
| 6.69216
| 6.837796
| 6.553546
| 6.742138
| 9.009849
| 6.736041
| 7.010984
| 8.020259
| 7.269318
| 6.98348
| 7.096964
| 7.17812
| 7.165454
| 6.924306
| 8.420734
| 7.280274
|
2109.06938
|
Joel Acosta
|
Joel Acosta, Alan Garbarz, Andres Goya, Mauricio Leston
|
One-Loop Partition Function, Gauge Accessibility and Spectra in AdS$_3$
Gravity
|
25 pages
| null |
10.1007/JHEP12(2021)097
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We continue the study of the one-loop partition function of AdS$_3$ gravity
with focus on the square-integrability condition on the fluctuating fields. In
a previous work we found that the Brown-Henneaux boundary conditions follow
directly from the $L^2$ condition. Here we rederive the partition function as a
ratio of Laplacian determinants by performing a suitable decomposition of the
metric fluctuations. We pay special attention to the asymptotics of the fields
appearing in the partition function. We also show that in the usual computation
using ghost fields for the de Donder gauge, such gauge condition is accessible
precisely for square-integrable ghost fields. Finally, we compute the spectrum
of the relevant Laplacians in thermal AdS$_3$, in particular noticing that
there are no isolated eigenvalues, only essential spectrum. This last result
supports the analytic continuation approach of David, Gaberdiel and Gopakumar.
The purely essential spectra found are consistent with the independent results
of Lee and Delay of the essential spectrum of the TT rank-2 tensor
Lichnerowickz Laplacian on asymptotically hyperbolic spaces.
|
[
{
"created": "Tue, 14 Sep 2021 19:31:02 GMT",
"version": "v1"
}
] |
2022-01-05
|
[
[
"Acosta",
"Joel",
""
],
[
"Garbarz",
"Alan",
""
],
[
"Goya",
"Andres",
""
],
[
"Leston",
"Mauricio",
""
]
] |
We continue the study of the one-loop partition function of AdS$_3$ gravity with focus on the square-integrability condition on the fluctuating fields. In a previous work we found that the Brown-Henneaux boundary conditions follow directly from the $L^2$ condition. Here we rederive the partition function as a ratio of Laplacian determinants by performing a suitable decomposition of the metric fluctuations. We pay special attention to the asymptotics of the fields appearing in the partition function. We also show that in the usual computation using ghost fields for the de Donder gauge, such gauge condition is accessible precisely for square-integrable ghost fields. Finally, we compute the spectrum of the relevant Laplacians in thermal AdS$_3$, in particular noticing that there are no isolated eigenvalues, only essential spectrum. This last result supports the analytic continuation approach of David, Gaberdiel and Gopakumar. The purely essential spectra found are consistent with the independent results of Lee and Delay of the essential spectrum of the TT rank-2 tensor Lichnerowickz Laplacian on asymptotically hyperbolic spaces.
| 11.837145
| 12.475277
| 12.98604
| 12.313312
| 12.547278
| 12.582403
| 13.417061
| 11.891291
| 12.376494
| 14.287057
| 11.734543
| 11.819849
| 12.152907
| 11.545412
| 11.619928
| 11.510943
| 11.472123
| 11.41503
| 11.265668
| 12.058267
| 11.547267
|
0707.1329
|
Michele Arzano
|
Michele Arzano and Antonino Marciano
|
Fock space, quantum fields and kappa-Poincar\'e symmetries
|
RevTeX, 17 pages, 5 figures
|
Phys.Rev.D76:125005,2007
|
10.1103/PhysRevD.76.125005
| null |
hep-th
| null |
We study the quantization of a linear scalar field, whose symmetries are
described by the kappa-Poincare' Hopf-algebra, via deformed Fock space
construction. The one-particle sector of the theory exhibits a natural
(planckian) cut-off for the field modes. At the multi-particle level the
non-trivial co-algebra structure of kappa-Poincare' leads to a deformed
bosonization in the construction of Fock space states. These physical states
carry energy-momentum charges which are divergenceless and obey a deformed
dispersion relation.
|
[
{
"created": "Tue, 10 Jul 2007 15:16:17 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Arzano",
"Michele",
""
],
[
"Marciano",
"Antonino",
""
]
] |
We study the quantization of a linear scalar field, whose symmetries are described by the kappa-Poincare' Hopf-algebra, via deformed Fock space construction. The one-particle sector of the theory exhibits a natural (planckian) cut-off for the field modes. At the multi-particle level the non-trivial co-algebra structure of kappa-Poincare' leads to a deformed bosonization in the construction of Fock space states. These physical states carry energy-momentum charges which are divergenceless and obey a deformed dispersion relation.
| 10.720311
| 10.264692
| 9.593671
| 9.349527
| 9.2307
| 9.140084
| 9.985255
| 8.989032
| 9.382918
| 10.047214
| 8.96087
| 9.475746
| 9.772567
| 9.406294
| 9.186148
| 9.288266
| 9.227362
| 9.58999
| 9.272475
| 9.537684
| 8.958694
|
hep-th/9704090
|
Anton Zabrodin
|
I.Krichever, P.Wiegmann and A.Zabrodin
|
Elliptic solutions to difference non-linear equations and related
many-body problems
|
22 pages, Latex with emlines2.sty
|
Commun.Math.Phys. 193 (1998) 373-396
|
10.1007/s002200050333
| null |
hep-th
| null |
We study algebro-geometric (finite-gap) and elliptic solutions of fully
discretized KP or 2D Toda equations. In bilinear form they are Hirota's
difference equation for $\tau$-functions. Starting from a given algebraic
curve, we express the $\tau$-function and the Baker-Akhiezer function in terms
of the Riemann theta function. We show that the elliptic solutions, when the
$\tau$-function is an elliptic polynomial, form a subclass of the general
algebro-geometric solutions. We construct the algebraic curves of the elliptic
solutions. The evolution of zeros of the elliptic solutions is governed by the
discrete time generalization of the Ruijsenaars-Schneider many body system. The
zeros obey equations which have the form of nested Bethe-Ansatz equations,
known from integrable quantum field theories. We discuss the Lax representation
and the action-angle-type variables for the many body system. We also discuss
elliptic solutions to discrete analogues of KdV, sine-Gordon and 1D Toda
equations and describe the loci of the zeros.
|
[
{
"created": "Fri, 11 Apr 1997 00:59:55 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Krichever",
"I.",
""
],
[
"Wiegmann",
"P.",
""
],
[
"Zabrodin",
"A.",
""
]
] |
We study algebro-geometric (finite-gap) and elliptic solutions of fully discretized KP or 2D Toda equations. In bilinear form they are Hirota's difference equation for $\tau$-functions. Starting from a given algebraic curve, we express the $\tau$-function and the Baker-Akhiezer function in terms of the Riemann theta function. We show that the elliptic solutions, when the $\tau$-function is an elliptic polynomial, form a subclass of the general algebro-geometric solutions. We construct the algebraic curves of the elliptic solutions. The evolution of zeros of the elliptic solutions is governed by the discrete time generalization of the Ruijsenaars-Schneider many body system. The zeros obey equations which have the form of nested Bethe-Ansatz equations, known from integrable quantum field theories. We discuss the Lax representation and the action-angle-type variables for the many body system. We also discuss elliptic solutions to discrete analogues of KdV, sine-Gordon and 1D Toda equations and describe the loci of the zeros.
| 6.62647
| 7.097806
| 7.694457
| 6.576829
| 7.793303
| 7.537799
| 6.981884
| 6.872992
| 6.993362
| 9.120465
| 6.51635
| 6.600061
| 6.646325
| 6.375991
| 6.639313
| 6.507539
| 6.582198
| 6.61061
| 6.503104
| 6.865787
| 6.582389
|
hep-th/9612157
|
Nathan Seiberg
|
Tom Banks, Nathan Seiberg and Stephen Shenker
|
Branes from Matrices
|
17 pages. A number of new conceptual issues added. Some misprints
corrected
|
Nucl.Phys.B490:91-106,1997
|
10.1016/S0550-3213(97)00105-3
|
RU-96-117
|
hep-th
| null |
Various aspects of branes in the recently proposed matrix model for M theory
are discussed. A careful analysis of the supersymmetry algebra of the matrix
model uncovers some central charges which can be activated only in the large
$N$ limit. We identify the states with non-zero charges as branes of different
dimensions.
|
[
{
"created": "Fri, 13 Dec 1996 20:00:25 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Jan 1997 18:53:10 GMT",
"version": "v2"
}
] |
2009-09-15
|
[
[
"Banks",
"Tom",
""
],
[
"Seiberg",
"Nathan",
""
],
[
"Shenker",
"Stephen",
""
]
] |
Various aspects of branes in the recently proposed matrix model for M theory are discussed. A careful analysis of the supersymmetry algebra of the matrix model uncovers some central charges which can be activated only in the large $N$ limit. We identify the states with non-zero charges as branes of different dimensions.
| 10.786455
| 9.095203
| 11.550458
| 8.254865
| 8.369094
| 8.202348
| 8.147023
| 8.400571
| 8.818851
| 12.596905
| 8.827579
| 9.393313
| 10.366164
| 9.087546
| 8.910705
| 9.199836
| 9.032918
| 9.343861
| 9.035925
| 10.585258
| 9.392156
|
hep-th/0210215
|
Florian Conrady
|
Florian Conrady (Heidelberg U. & Potsdam, Max Planck Inst.), Christoph
Schweigert (Paris U., VI-VII & Aachen, Tech. Hochschul.)
|
Topologizations of Chiral Representations
|
24pp, section on open questions added
|
Commun.Math.Phys. 245 (2004) 429-448
|
10.1007/s00220-003-1034-y
|
HD-THEP-02-10, AEI-2002-085, PAR-LPTHE/02-44, PITHA 02/13
|
hep-th math-ph math.FA math.MP
| null |
We analyze and compare two families of topologies that have been proposed for
representation spaces of chiral algebras by Huang and Gaberdiel & Goddard
respectively. We show, in particular, that for suitable pairs the topology of
Gaberdiel & Goddard is coarser. We also give a new proof that the chiral
two-point blocks are continuous in the topology of Huang.
|
[
{
"created": "Tue, 22 Oct 2002 14:45:54 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Nov 2003 15:41:41 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Conrady",
"Florian",
"",
"Heidelberg U. & Potsdam, Max Planck Inst."
],
[
"Schweigert",
"Christoph",
"",
"Paris U., VI-VII & Aachen, Tech. Hochschul."
]
] |
We analyze and compare two families of topologies that have been proposed for representation spaces of chiral algebras by Huang and Gaberdiel & Goddard respectively. We show, in particular, that for suitable pairs the topology of Gaberdiel & Goddard is coarser. We also give a new proof that the chiral two-point blocks are continuous in the topology of Huang.
| 9.673098
| 9.756352
| 14.488999
| 8.830625
| 9.198832
| 10.210173
| 10.727568
| 8.632598
| 10.574691
| 13.392076
| 9.585932
| 10.110986
| 11.109993
| 10.121755
| 9.952083
| 10.547601
| 10.628796
| 9.442751
| 10.111567
| 10.593521
| 9.205681
|
1305.5684
|
Diego Rodriguez-Gomez
|
Diego Rodriguez-Gomez, Gabi Zafrir
|
On the 5d instanton index as a Hilbert series
|
13 pages, 2 figures
| null |
10.1016/j.nuclphysb.2013.11.006
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The superconformal index for N=2 5d theories contains a non-perturbative part
arising from 5d instantonic operators which coincides with the Nekrasov
instanton partition function. In this note, for pure gauge theories, we
elaborate on the relation between such instanton index and the Hilbert series
of the instanton moduli space. We propose a non-trivial identification of
fugacities allowing the computation of the instanton index through the Hilbert
series. We show the agreement of our proposal with existing results in the
literature, as well as use it to compute the exact index for a pure U(1) gauge
theory.
|
[
{
"created": "Fri, 24 May 2013 11:05:47 GMT",
"version": "v1"
}
] |
2015-06-16
|
[
[
"Rodriguez-Gomez",
"Diego",
""
],
[
"Zafrir",
"Gabi",
""
]
] |
The superconformal index for N=2 5d theories contains a non-perturbative part arising from 5d instantonic operators which coincides with the Nekrasov instanton partition function. In this note, for pure gauge theories, we elaborate on the relation between such instanton index and the Hilbert series of the instanton moduli space. We propose a non-trivial identification of fugacities allowing the computation of the instanton index through the Hilbert series. We show the agreement of our proposal with existing results in the literature, as well as use it to compute the exact index for a pure U(1) gauge theory.
| 6.983716
| 6.034246
| 6.926714
| 5.907979
| 6.490439
| 6.153763
| 6.336493
| 6.108539
| 6.451
| 7.265053
| 6.070138
| 6.172922
| 6.800166
| 6.137915
| 6.30581
| 6.354656
| 6.463827
| 6.268516
| 6.187291
| 6.848846
| 6.36676
|
1112.2876
|
Thomas Mohaupt
|
Thomas Mohaupt, Owen Vaughan
|
The Hesse potential, the c-map and black hole solutions
|
76 pages. Second revised version: substantial extension. Further
references added and discussion extended. Construction of axion-free non-BPS
extremal solutions for a class of non-homogeneous target spaces added.
Accepted for publication in JHEP
| null |
10.1007/JHEP07(2012)163
|
LTH 933
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a new formulation of the local c-map, which makes use of the real
formulation of special Kahler geometry and the associated Hesse potential. As
an application we use the temporal version of the c-map to derive the black
hole attractor equations from geometric properties of the scalar manifold, and
we construct various stationary solutions for four-dimensional vector
multiplets by lifting instanton solutions of the time-reduced theory.
|
[
{
"created": "Tue, 13 Dec 2011 12:30:25 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Jan 2012 18:18:19 GMT",
"version": "v2"
},
{
"created": "Mon, 9 Jul 2012 09:47:20 GMT",
"version": "v3"
}
] |
2017-08-23
|
[
[
"Mohaupt",
"Thomas",
""
],
[
"Vaughan",
"Owen",
""
]
] |
We present a new formulation of the local c-map, which makes use of the real formulation of special Kahler geometry and the associated Hesse potential. As an application we use the temporal version of the c-map to derive the black hole attractor equations from geometric properties of the scalar manifold, and we construct various stationary solutions for four-dimensional vector multiplets by lifting instanton solutions of the time-reduced theory.
| 14.722383
| 11.508454
| 16.271315
| 11.558726
| 12.446198
| 12.953554
| 14.19259
| 11.726277
| 12.807626
| 15.924492
| 13.159951
| 12.88348
| 14.121984
| 14.045038
| 13.709849
| 13.176387
| 12.974284
| 12.781834
| 13.057082
| 15.329415
| 13.550408
|
hep-th/9511037
| null |
J.M.F. Labastida
|
Topological Quantum Field Theory: A Progress Report
|
latex, 17 pages, talk given at the IV Fall Workshop on Differential
Geometry and its Applications, 1995
| null | null |
USC-FT-26-95
|
hep-th alg-geom math.AG math.QA q-alg
| null |
A brief introduction to Topological Quantum Field Theory as well as a
description of recent progress made in the field is presented. I concentrate
mainly on the connection between Chern-Simons gauge theory and Vassiliev
invariants, and Donaldson theory and its generalizations and Seiberg-Witten
invariants. Emphasis is made on the usefulness of these relations to obtain
explicit expressions for topological invariants, and on the universal structure
underlying both systems.
|
[
{
"created": "Mon, 6 Nov 1995 08:25:13 GMT",
"version": "v1"
}
] |
2008-02-03
|
[
[
"Labastida",
"J. M. F.",
""
]
] |
A brief introduction to Topological Quantum Field Theory as well as a description of recent progress made in the field is presented. I concentrate mainly on the connection between Chern-Simons gauge theory and Vassiliev invariants, and Donaldson theory and its generalizations and Seiberg-Witten invariants. Emphasis is made on the usefulness of these relations to obtain explicit expressions for topological invariants, and on the universal structure underlying both systems.
| 9.080765
| 7.910349
| 8.97752
| 7.952519
| 8.873096
| 8.551855
| 9.117299
| 8.584278
| 7.959292
| 9.228888
| 8.353624
| 8.1724
| 8.545618
| 8.083434
| 8.035868
| 8.303137
| 8.22436
| 7.788144
| 8.000273
| 8.418329
| 8.177212
|
hep-th/0007099
|
Joachim Rahmfeld
|
P. Claus, J. Rahmfeld, H. Robins, J. Tannenhauser, Y. Zunger
|
Isometries in anti-de Sitter and Conformal Superspaces
|
19 pages, LaTeX
|
JHEP 0007:047,2000
|
10.1088/1126-6708/2000/07/047
| null |
hep-th
| null |
We derive explicit forms for the superisometries of a wide class of
supercoset manifolds, including those with fermionic generators in the
stability group. We apply the results to construct the action of SU(2,2|4) on
three supercoset manifolds: (10|32)-dimensional AdS_5 x S^5 superspace,
(4|16)-dimensional conformal superspace, and a novel (10|16)-dimensional
conformal superspace. Using superembedding techniques, we show, to lowest
non-trivial order in the fermions, that at the boundary of AdS_5, the
superisometries of the AdS_5 x S^5$ superspace reduce to the standard N=4
superconformal transformations. In particular, half of the 32 fermionic
coordinates decouple from the superisometries.
|
[
{
"created": "Wed, 12 Jul 2000 21:10:20 GMT",
"version": "v1"
}
] |
2010-02-03
|
[
[
"Claus",
"P.",
""
],
[
"Rahmfeld",
"J.",
""
],
[
"Robins",
"H.",
""
],
[
"Tannenhauser",
"J.",
""
],
[
"Zunger",
"Y.",
""
]
] |
We derive explicit forms for the superisometries of a wide class of supercoset manifolds, including those with fermionic generators in the stability group. We apply the results to construct the action of SU(2,2|4) on three supercoset manifolds: (10|32)-dimensional AdS_5 x S^5 superspace, (4|16)-dimensional conformal superspace, and a novel (10|16)-dimensional conformal superspace. Using superembedding techniques, we show, to lowest non-trivial order in the fermions, that at the boundary of AdS_5, the superisometries of the AdS_5 x S^5$ superspace reduce to the standard N=4 superconformal transformations. In particular, half of the 32 fermionic coordinates decouple from the superisometries.
| 5.313151
| 4.989063
| 6.138778
| 4.940094
| 5.26264
| 4.86937
| 5.27039
| 4.807804
| 5.239874
| 6.086814
| 4.924823
| 5.189514
| 5.469631
| 5.126723
| 5.208971
| 5.008387
| 5.047025
| 5.163936
| 5.118957
| 5.429084
| 5.117896
|
hep-th/9905135
|
Ashok Das
|
Ashok Das and Sergio A. Pernice
|
Supersymmetry and Singular Potentials
|
28 pages
|
Nucl.Phys. B561 (1999) 357-384
|
10.1016/S0550-3213(99)00541-6
| null |
hep-th
| null |
The breaking of supersymmetry due to singular potentials in supersymmetric
quantum mechanics is critically analyzed. It is shown that, when properly
regularized, these potentials respect supersymmetry, even when the
regularization parameter is removed.
|
[
{
"created": "Tue, 18 May 1999 17:46:56 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Das",
"Ashok",
""
],
[
"Pernice",
"Sergio A.",
""
]
] |
The breaking of supersymmetry due to singular potentials in supersymmetric quantum mechanics is critically analyzed. It is shown that, when properly regularized, these potentials respect supersymmetry, even when the regularization parameter is removed.
| 11.640115
| 6.14536
| 8.785213
| 6.958209
| 6.658638
| 5.923954
| 5.52076
| 6.543667
| 6.857353
| 10.805376
| 7.244863
| 7.347735
| 9.441331
| 7.92163
| 7.969782
| 7.731357
| 8.054044
| 7.97693
| 8.468837
| 9.780476
| 7.793432
|
hep-th/0304021
|
Hoshino
|
Y. Hoshino
|
Low-Energy Theorem Approach to One-Particle Singularity in QED{2+1}
|
18 pages, REVTeX4,abstract modefied and section three changed
|
JHEP 0305 (2003) 075
|
10.1088/1126-6708/2003/05/075
| null |
hep-th
| null |
We evaluate the propagator of scalar and spinor in three dimensional quantum
electrodynamics with the use of Ward-Identity for soft-photon emission
vertex.We work well in position space to treat infrared divergences in our
model. Exponentiation of one-photon matrix element yields a full propagator in
position space.It has a simple form as free propagator multiplied by quantum
correction.And it shows a new type of mass singularity.But this is not an
integrable function so that analysis in momentum space is not easy.Term by term
integral converges and they have a logarithmic singularity associated with
renormalized mass in perturbation theory.Renormalization constant vanishes for
weak coupling,which suggests confinement of charged particle.There exsists a
critical coupling constant above which the vacuum expectation value of pair
condensation is finite.
|
[
{
"created": "Wed, 2 Apr 2003 21:44:09 GMT",
"version": "v1"
},
{
"created": "Sat, 12 Apr 2003 23:43:36 GMT",
"version": "v2"
},
{
"created": "Wed, 16 Apr 2003 00:52:07 GMT",
"version": "v3"
},
{
"created": "Thu, 8 May 2003 01:59:43 GMT",
"version": "v4"
},
{
"created": "Fri, 30 May 2003 11:28:44 GMT",
"version": "v5"
},
{
"created": "Sun, 7 Sep 2003 01:22:46 GMT",
"version": "v6"
}
] |
2009-11-10
|
[
[
"Hoshino",
"Y.",
""
]
] |
We evaluate the propagator of scalar and spinor in three dimensional quantum electrodynamics with the use of Ward-Identity for soft-photon emission vertex.We work well in position space to treat infrared divergences in our model. Exponentiation of one-photon matrix element yields a full propagator in position space.It has a simple form as free propagator multiplied by quantum correction.And it shows a new type of mass singularity.But this is not an integrable function so that analysis in momentum space is not easy.Term by term integral converges and they have a logarithmic singularity associated with renormalized mass in perturbation theory.Renormalization constant vanishes for weak coupling,which suggests confinement of charged particle.There exsists a critical coupling constant above which the vacuum expectation value of pair condensation is finite.
| 19.856695
| 19.871122
| 16.999254
| 18.230612
| 19.14917
| 20.225311
| 19.893156
| 19.687084
| 18.664291
| 22.340883
| 17.911594
| 19.008669
| 19.225702
| 18.638792
| 19.468901
| 18.469612
| 19.141212
| 19.102947
| 18.522636
| 18.605698
| 18.857395
|
hep-th/9912249
|
Barton Zwiebach
|
Ashoke Sen and Barton Zwiebach
|
Tachyon condensation in string field theory
|
13 pages, LaTex
|
JHEP 0003:002,2000
|
10.1088/1126-6708/2000/03/002
|
MRI-PHY/P991238, CTP-MIT-2934
|
hep-th
| null |
It has been conjectured that at a stationary point of the tachyon potential
for the D-brane of bosonic string theory, the negative energy density exactly
cancels the D-brane tension. We evaluate this tachyon potential by off-shell
calculations in open string field theory. Surprisingly, the condensation of the
tachyon mode alone into the stationary point of its cubic potential is found to
cancel about 70% of the D-brane tension. Keeping relevant scalars up to four
mass levels above the tachyon, the energy density at the shifted stationary
point cancels 99% of the D-brane tension.
|
[
{
"created": "Fri, 24 Dec 1999 21:56:09 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Sen",
"Ashoke",
""
],
[
"Zwiebach",
"Barton",
""
]
] |
It has been conjectured that at a stationary point of the tachyon potential for the D-brane of bosonic string theory, the negative energy density exactly cancels the D-brane tension. We evaluate this tachyon potential by off-shell calculations in open string field theory. Surprisingly, the condensation of the tachyon mode alone into the stationary point of its cubic potential is found to cancel about 70% of the D-brane tension. Keeping relevant scalars up to four mass levels above the tachyon, the energy density at the shifted stationary point cancels 99% of the D-brane tension.
| 8.546014
| 8.245938
| 9.412452
| 7.671464
| 9.001723
| 8.296994
| 8.077033
| 7.8265
| 7.619044
| 10.266006
| 7.816991
| 8.278251
| 8.562399
| 7.956251
| 8.27534
| 7.882778
| 7.870019
| 8.017915
| 8.306301
| 8.842433
| 7.974247
|
1709.03832
|
Ahmad Mohamadnejad
|
Ahmad Mohamadnejad
|
Vacuum and Symmetry Breaking: New Approach
|
19 pages, published in International Journal of Theoretical Physics
|
Int.J.Theor.Phys. 59 (2020) 8, 2625-2638
|
10.1007/s10773-020-04532-y
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a new mechanism for symmetry breaking in which, apart from
particle degrees of freedom, topological degrees of freedom also emerge. In
this method, a decomposition for the fields of the Yang-Mills-Higgs theory is
introduced and Lagrangian is written based on new variables. This new
Lagrangian does not change the dynamics of the theory, at least at the
classical level. We study the spontaneous symmetry breaking for this new
Lagrangian and show that how it works in Abelian and non-Abelian gauge
theories. In the case of Abelian gauge theory our method adds nothing new to
the so-called Higgs mechanism. However, in the non-Abelian case topological
degrees of freedom, as classical fields, arise. Finally, we reacquire our
results considering a new definition for the vacuum.
|
[
{
"created": "Tue, 12 Sep 2017 13:34:46 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Mar 2018 14:00:17 GMT",
"version": "v2"
},
{
"created": "Sat, 25 Jul 2020 12:18:27 GMT",
"version": "v3"
}
] |
2020-07-28
|
[
[
"Mohamadnejad",
"Ahmad",
""
]
] |
We propose a new mechanism for symmetry breaking in which, apart from particle degrees of freedom, topological degrees of freedom also emerge. In this method, a decomposition for the fields of the Yang-Mills-Higgs theory is introduced and Lagrangian is written based on new variables. This new Lagrangian does not change the dynamics of the theory, at least at the classical level. We study the spontaneous symmetry breaking for this new Lagrangian and show that how it works in Abelian and non-Abelian gauge theories. In the case of Abelian gauge theory our method adds nothing new to the so-called Higgs mechanism. However, in the non-Abelian case topological degrees of freedom, as classical fields, arise. Finally, we reacquire our results considering a new definition for the vacuum.
| 8.490619
| 8.129447
| 8.116974
| 8.062722
| 8.444496
| 8.477525
| 8.37801
| 7.71236
| 8.036569
| 8.693011
| 7.882439
| 8.080713
| 7.999951
| 7.911489
| 7.974565
| 7.888871
| 8.024833
| 7.856589
| 7.799059
| 7.984982
| 8.005858
|
2405.10061
|
Jianfei Xu
|
Xuhao Jiang and Jianfei Xu
|
Warped CFT duals of the Pleba\'{n}ski-Demia\'{n}ski family of solutions
|
26 pages
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we analyze the symmetry properties of the complete family of
type D spacetimes generalized form the Pleba\'{n}ski-Demia\'{n}ski solution in
four dimensions holographically in terms of a warped CFT. The generalized
Pleba\'{n}ski-Demia\'{n}ski solutions are black hole-like spacetimes
characterized by seven physical parameters. Most of the black holes in four
dimensions are included within this family. Generically consider a solution
with horizon in this family, we figure out the possible warped conformal
symmetry attached to the horizon. The horizon can be either extremal or
non-extremal. In the extremal case, the near horizon region can be mapped to an
infinite spacetime with geometry given by a warped and twist product of AdS$_2$
and S$^2$. The new boundary conditions for AdS$_2$ as well as their higher
dimensional uplifts are applied here to manifest the asymptotic symmetry as the
warped conformal symmetry. In the non-extremal case, the global warped
conformal symmetry is singled out by analyzing the scalar wave equation with
constant frequency. The local warped conformal symmetries are represented by
the charge algebra associated to the vector fields which preserve the scalar
wave equation as well as its frequency. In defining the variation of the
covariant charges, a proper counterterm is introduced for consistency
conditions which is supposed to be suitable for all the solutions within the
family. As a consistency check, the horizon entropy is reproduced by the
entropy formula of the warped CFT by using its modular covariance and the
central terms derived in the bulk spacetimes.
|
[
{
"created": "Thu, 16 May 2024 12:50:51 GMT",
"version": "v1"
}
] |
2024-05-17
|
[
[
"Jiang",
"Xuhao",
""
],
[
"Xu",
"Jianfei",
""
]
] |
In this paper, we analyze the symmetry properties of the complete family of type D spacetimes generalized form the Pleba\'{n}ski-Demia\'{n}ski solution in four dimensions holographically in terms of a warped CFT. The generalized Pleba\'{n}ski-Demia\'{n}ski solutions are black hole-like spacetimes characterized by seven physical parameters. Most of the black holes in four dimensions are included within this family. Generically consider a solution with horizon in this family, we figure out the possible warped conformal symmetry attached to the horizon. The horizon can be either extremal or non-extremal. In the extremal case, the near horizon region can be mapped to an infinite spacetime with geometry given by a warped and twist product of AdS$_2$ and S$^2$. The new boundary conditions for AdS$_2$ as well as their higher dimensional uplifts are applied here to manifest the asymptotic symmetry as the warped conformal symmetry. In the non-extremal case, the global warped conformal symmetry is singled out by analyzing the scalar wave equation with constant frequency. The local warped conformal symmetries are represented by the charge algebra associated to the vector fields which preserve the scalar wave equation as well as its frequency. In defining the variation of the covariant charges, a proper counterterm is introduced for consistency conditions which is supposed to be suitable for all the solutions within the family. As a consistency check, the horizon entropy is reproduced by the entropy formula of the warped CFT by using its modular covariance and the central terms derived in the bulk spacetimes.
| 10.315598
| 10.296895
| 10.159727
| 9.532746
| 9.460459
| 10.917871
| 10.495984
| 9.940994
| 9.949991
| 11.556339
| 9.99753
| 9.892268
| 9.930645
| 9.550805
| 9.812559
| 9.766525
| 9.999132
| 9.549496
| 9.845373
| 9.97051
| 9.860264
|
0711.0192
|
Andrei Mironov
|
A.Mironov, A.Morozov and T.Tomaras
|
Some properties of the Alday-Maldacena minimum
|
10 pages
|
Phys.Lett.B659:723-731,2008
|
10.1016/j.physletb.2007.11.025
|
ITEP-TH-39/07
|
hep-th
| null |
The Alday-Maldacena solution, relevant to the n=4 gluon amplitude in N=4 SYM
at strong coupling, was recently identified as a minimum of the regularized
action in the moduli space of solutions of the AdS_5 sigma-model equations of
motion. Analogous solutions of the Nambu-Goto equations for the n=4 case are
presented and shown to form (modulo the reparametrization group) an equally
large but different moduli space, with the Alday-Maldacena solution at the
intersection of the sigma-model and Nambu-Goto moduli spaces. We comment upon
the possible form of the regularized action for n=5. A function of moduli
parameters z_a is written, whose minimum reproduces the BDDK one-loop
five-gluon amplitude. This function may thus be considered as some kind of
Legendre transform of the BDDK formula and has its own value independently of
the Alday-Maldacena approach.
|
[
{
"created": "Thu, 1 Nov 2007 19:12:17 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
],
[
"Tomaras",
"T.",
""
]
] |
The Alday-Maldacena solution, relevant to the n=4 gluon amplitude in N=4 SYM at strong coupling, was recently identified as a minimum of the regularized action in the moduli space of solutions of the AdS_5 sigma-model equations of motion. Analogous solutions of the Nambu-Goto equations for the n=4 case are presented and shown to form (modulo the reparametrization group) an equally large but different moduli space, with the Alday-Maldacena solution at the intersection of the sigma-model and Nambu-Goto moduli spaces. We comment upon the possible form of the regularized action for n=5. A function of moduli parameters z_a is written, whose minimum reproduces the BDDK one-loop five-gluon amplitude. This function may thus be considered as some kind of Legendre transform of the BDDK formula and has its own value independently of the Alday-Maldacena approach.
| 10.464565
| 10.253972
| 9.915788
| 9.113455
| 10.644123
| 10.535278
| 9.659337
| 9.92838
| 9.688811
| 10.608456
| 9.647327
| 9.561178
| 9.093431
| 9.487576
| 9.889573
| 9.759195
| 9.539771
| 9.818443
| 9.823893
| 9.197723
| 9.511911
|
2009.01211
|
Congkao Wen
|
Michael B. Green, Congkao Wen
|
Maximal $U(1)_Y$-violating $n$-point correlators in $\mathcal{N}=4$
super-Yang-Mills theory
|
67 pages; v2: 68 pages, minor corrections, references added, matches
JHEP version
| null |
10.1007/JHEP02(2021)042
|
QMUL-PH-20-23
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper concerns a special class of $n$-point correlation functions of
operators in the stress tensor supermultiplet of $\mathcal{N}=4$ supersymmetric
$SU(N)$ Yang-Mills theory. These are "maximal $U(1)_Y$-violating" correlators
that violate the bonus $U(1)_Y$ charge by a maximum of $2(n-4)$ units. We will
demonstrate that such correlators satisfy $SL(2,\mathbb{Z})$-covariant
recursion relations that relate $n$-point correlators to $(n-1)$-point
correlators in a manner analogous to the soft dilaton relations that relate the
corresponding amplitudes in flat-space type IIB superstring theory. These
recursion relations are used to determine terms in the large-$N$ expansion of
$n$-point maximal $U(1)_Y$-violating correlators in the chiral sector,
including correlators with four superconformal stress tensor primaries and
$(n-4)$ chiral Lagrangian operators, starting from known properties of the
$n=4$ case. We concentrate on the first three orders in $1/N$ beyond the
supergravity limit. The Mellin representations of the correlators are
polynomials in Mellin variables, which correspond to higher derivative contact
terms in the low-energy expansion of type IIB superstring theory in $AdS_5
\times S^5$ at the same orders as $R^4, d^4R^4$ and $d^6R^4$. The coupling
constant dependence of these terms is found to be described by non-holomorphic
modular forms with holomorphic and anti-holomorphic weights $(n-4,4-n)$ that
are $SL(2, \mathbb{Z})$-covariant derivatives of Eisenstein series and certain
generalisations. This determines a number of non-leading contributions to
$U(1)_Y$-violating $n$-particle interactions ($n>4$) in the low-energy
expansion of type IIB superstring amplitudes in $AdS_5\times S^5$.
|
[
{
"created": "Wed, 2 Sep 2020 17:36:51 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Feb 2021 11:27:00 GMT",
"version": "v2"
}
] |
2021-02-24
|
[
[
"Green",
"Michael B.",
""
],
[
"Wen",
"Congkao",
""
]
] |
This paper concerns a special class of $n$-point correlation functions of operators in the stress tensor supermultiplet of $\mathcal{N}=4$ supersymmetric $SU(N)$ Yang-Mills theory. These are "maximal $U(1)_Y$-violating" correlators that violate the bonus $U(1)_Y$ charge by a maximum of $2(n-4)$ units. We will demonstrate that such correlators satisfy $SL(2,\mathbb{Z})$-covariant recursion relations that relate $n$-point correlators to $(n-1)$-point correlators in a manner analogous to the soft dilaton relations that relate the corresponding amplitudes in flat-space type IIB superstring theory. These recursion relations are used to determine terms in the large-$N$ expansion of $n$-point maximal $U(1)_Y$-violating correlators in the chiral sector, including correlators with four superconformal stress tensor primaries and $(n-4)$ chiral Lagrangian operators, starting from known properties of the $n=4$ case. We concentrate on the first three orders in $1/N$ beyond the supergravity limit. The Mellin representations of the correlators are polynomials in Mellin variables, which correspond to higher derivative contact terms in the low-energy expansion of type IIB superstring theory in $AdS_5 \times S^5$ at the same orders as $R^4, d^4R^4$ and $d^6R^4$. The coupling constant dependence of these terms is found to be described by non-holomorphic modular forms with holomorphic and anti-holomorphic weights $(n-4,4-n)$ that are $SL(2, \mathbb{Z})$-covariant derivatives of Eisenstein series and certain generalisations. This determines a number of non-leading contributions to $U(1)_Y$-violating $n$-particle interactions ($n>4$) in the low-energy expansion of type IIB superstring amplitudes in $AdS_5\times S^5$.
| 5.23839
| 5.443745
| 5.489741
| 5.062505
| 5.202945
| 5.066357
| 5.14639
| 5.153008
| 4.965233
| 6.277734
| 5.084566
| 5.073013
| 5.274405
| 5.025763
| 5.090712
| 5.217029
| 5.134303
| 5.000403
| 5.071522
| 5.353134
| 5.100287
|
1102.4847
|
Tudor Dan Dimofte
|
Tudor Dimofte
|
Quantum Riemann Surfaces in Chern-Simons Theory
|
110 pages, 14 figures; v2: references added and clarified, discussion
of character varieties (Sec. 2) improved; v3: small typos corrected in Sec
6.3.2
| null | null | null |
hep-th math.GT math.QA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct from first principles the operator 'A-hat' that annihilates the
partition functions (or wavefunctions) of three-dimensional Chern-Simons theory
with gauge groups SU(2), SL(2,R), or SL(2,C) on a knot complement M. The
operator 'A-hat' is a quantization of the knot complement's classical
A-polynomial A(l,m). The construction proceeds by decomposing three-manifolds
into ideal tetrahedra, and invoking a new, more global understanding of gluing
in TQFT to put them back together. We advocate in particular that, properly
interpreted, "gluing = symplectic reduction." We also arrive at a new
finite-dimensional state integral model for computing the analytically
continued "holomorphic blocks" that compose any physical Chern-Simons partition
function.
|
[
{
"created": "Wed, 23 Feb 2011 21:00:02 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Apr 2011 17:49:09 GMT",
"version": "v2"
},
{
"created": "Mon, 22 Aug 2011 19:32:59 GMT",
"version": "v3"
}
] |
2015-03-19
|
[
[
"Dimofte",
"Tudor",
""
]
] |
We construct from first principles the operator 'A-hat' that annihilates the partition functions (or wavefunctions) of three-dimensional Chern-Simons theory with gauge groups SU(2), SL(2,R), or SL(2,C) on a knot complement M. The operator 'A-hat' is a quantization of the knot complement's classical A-polynomial A(l,m). The construction proceeds by decomposing three-manifolds into ideal tetrahedra, and invoking a new, more global understanding of gluing in TQFT to put them back together. We advocate in particular that, properly interpreted, "gluing = symplectic reduction." We also arrive at a new finite-dimensional state integral model for computing the analytically continued "holomorphic blocks" that compose any physical Chern-Simons partition function.
| 11.749383
| 11.076143
| 13.481053
| 11.009518
| 11.217242
| 11.805812
| 13.145495
| 11.676001
| 10.41228
| 14.652041
| 10.605623
| 10.355474
| 11.817944
| 10.399755
| 10.376962
| 10.27772
| 10.849234
| 10.221204
| 10.493952
| 11.718
| 10.543874
|
1502.05057
|
Chia-Hsien Shen
|
Clifford Cheung, Chia-Hsien Shen, and Jaroslav Trnka
|
Simple Recursion Relations for General Field Theories
|
27 pages and 2 figures; v2: typos corrected to match journal version
|
JHEP 2015:118
|
10.1007/JHEP06(2015)118
|
CALT-TH-2015-005
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
On-shell methods offer an alternative definition of quantum field theory at
tree-level, replacing Feynman diagrams with recursion relations and interaction
vertices with a handful of seed scattering amplitudes. In this paper we
determine the simplest recursion relations needed to construct a general
four-dimensional quantum field theory of massless particles. For this purpose
we define a covering space of recursion relations which naturally generalizes
all existing constructions, including those of BCFW and Risager. The validity
of each recursion relation hinges on the large momentum behavior of an n-point
scattering amplitude under an m-line momentum shift, which we determine solely
from dimensional analysis, Lorentz invariance, and locality. We show that all
amplitudes in a renormalizable theory are 5-line constructible. Amplitudes are
3-line constructible if an external particle carries spin or if the scalars in
the theory carry equal charge under a global or gauge symmetry. Remarkably,
this implies the 3-line constructibility of all gauge theories with fermions
and complex scalars in arbitrary representations, all supersymmetric theories,
and the standard model. Moreover, all amplitudes in non-renormalizable theories
without derivative interactions are constructible; with derivative
interactions, a subset of amplitudes is constructible. We illustrate our
results with examples from both renormalizable and non-renormalizable theories.
Our study demonstrates both the power and limitations of recursion relations as
a self-contained formulation of quantum field theory.
|
[
{
"created": "Tue, 17 Feb 2015 21:02:49 GMT",
"version": "v1"
},
{
"created": "Wed, 20 May 2015 23:53:12 GMT",
"version": "v2"
},
{
"created": "Mon, 9 Nov 2015 18:00:19 GMT",
"version": "v3"
}
] |
2015-11-10
|
[
[
"Cheung",
"Clifford",
""
],
[
"Shen",
"Chia-Hsien",
""
],
[
"Trnka",
"Jaroslav",
""
]
] |
On-shell methods offer an alternative definition of quantum field theory at tree-level, replacing Feynman diagrams with recursion relations and interaction vertices with a handful of seed scattering amplitudes. In this paper we determine the simplest recursion relations needed to construct a general four-dimensional quantum field theory of massless particles. For this purpose we define a covering space of recursion relations which naturally generalizes all existing constructions, including those of BCFW and Risager. The validity of each recursion relation hinges on the large momentum behavior of an n-point scattering amplitude under an m-line momentum shift, which we determine solely from dimensional analysis, Lorentz invariance, and locality. We show that all amplitudes in a renormalizable theory are 5-line constructible. Amplitudes are 3-line constructible if an external particle carries spin or if the scalars in the theory carry equal charge under a global or gauge symmetry. Remarkably, this implies the 3-line constructibility of all gauge theories with fermions and complex scalars in arbitrary representations, all supersymmetric theories, and the standard model. Moreover, all amplitudes in non-renormalizable theories without derivative interactions are constructible; with derivative interactions, a subset of amplitudes is constructible. We illustrate our results with examples from both renormalizable and non-renormalizable theories. Our study demonstrates both the power and limitations of recursion relations as a self-contained formulation of quantum field theory.
| 2.528877
| 7.315067
| 7.963429
| 6.823287
| 7.386891
| 8.080673
| 7.437741
| 7.247353
| 7.29041
| 7.633082
| 6.933198
| 6.289732
| 5.793451
| 5.79529
| 6.346585
| 5.988576
| 6.595934
| 5.912744
| 5.750858
| 6.011638
| 5.908757
|
hep-th/0610055
|
Marios Petropoulos
|
P.M. Petropoulos, K. Sfetsos
|
Non-Abelian coset string backgrounds from asymptotic and initial data
|
26 pages
|
JHEP 0704:033,2007
|
10.1088/1126-6708/2007/04/033
|
CPHT-RR052.0606, NEIP-06-06
|
hep-th
| null |
We describe hierarchies of exact string backgrounds obtained as non-Abelian
cosets of orthogonal groups and having a space--time realization in terms of
gauged WZW models. For each member in these hierarchies, the target-space
backgrounds are generated by the ``boundary'' backgrounds of the next member.
We explicitly demonstrate that this property holds to all orders in $\alpha'$.
It is a consequence of the existence of an integrable marginal operator build
on, generically, non-Abelian parafermion bilinears. These are dressed with the
dilaton supported by the extra radial dimension, whose asymptotic value defines
the boundary. Depending on the hierarchy, this boundary can be time-like or
space-like with, in the latter case, potential cosmological applications.
|
[
{
"created": "Wed, 4 Oct 2006 20:17:44 GMT",
"version": "v1"
}
] |
2010-10-27
|
[
[
"Petropoulos",
"P. M.",
""
],
[
"Sfetsos",
"K.",
""
]
] |
We describe hierarchies of exact string backgrounds obtained as non-Abelian cosets of orthogonal groups and having a space--time realization in terms of gauged WZW models. For each member in these hierarchies, the target-space backgrounds are generated by the ``boundary'' backgrounds of the next member. We explicitly demonstrate that this property holds to all orders in $\alpha'$. It is a consequence of the existence of an integrable marginal operator build on, generically, non-Abelian parafermion bilinears. These are dressed with the dilaton supported by the extra radial dimension, whose asymptotic value defines the boundary. Depending on the hierarchy, this boundary can be time-like or space-like with, in the latter case, potential cosmological applications.
| 15.519146
| 14.744632
| 16.576969
| 14.006602
| 15.956587
| 15.298074
| 16.522118
| 13.824804
| 14.273611
| 18.354105
| 13.782507
| 13.755175
| 15.800121
| 14.028114
| 14.179503
| 13.571968
| 14.143657
| 13.57749
| 14.205999
| 15.706559
| 13.295761
|
hep-th/9410050
|
Ruth Gregory
|
Ruth Gregory and Raymond Laflamme
|
Evidence for the Stability of Extremal Black p-Branes
|
minor changes to references, 15 pages + 1 figure
|
Phys.Rev.D51:305-309,1995
|
10.1103/PhysRevD.51.305
|
DAMTP/R-94/40, LA-UR-94-3323
|
hep-th gr-qc
| null |
We investigate the stability of the extremal black p-brane which contains a
n-form and a dilaton. We show that the instability due to the s-mode, which was
present in the uncharged and non-extremal p-brane, disappears in the extreme
case. This is shown to be consistent with an entropy argument which shows that
the zero entropy of the extremal black hole is approached more rapidly than the
zero entropy of the black p-brane, which would mean an instability would
violate the second law of thermodynamics.
|
[
{
"created": "Fri, 7 Oct 1994 16:49:25 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Dec 1994 17:47:32 GMT",
"version": "v2"
}
] |
2009-12-30
|
[
[
"Gregory",
"Ruth",
""
],
[
"Laflamme",
"Raymond",
""
]
] |
We investigate the stability of the extremal black p-brane which contains a n-form and a dilaton. We show that the instability due to the s-mode, which was present in the uncharged and non-extremal p-brane, disappears in the extreme case. This is shown to be consistent with an entropy argument which shows that the zero entropy of the extremal black hole is approached more rapidly than the zero entropy of the black p-brane, which would mean an instability would violate the second law of thermodynamics.
| 9.129269
| 8.21806
| 9.675137
| 8.253532
| 8.625082
| 8.235976
| 7.801028
| 8.965135
| 8.347776
| 9.10388
| 8.181693
| 8.386417
| 8.981204
| 8.231788
| 8.234365
| 8.370227
| 8.38553
| 8.228432
| 8.153971
| 9.025496
| 7.988795
|
1507.01229
|
Lee Smolin
|
Lee Smolin
|
Dynamics of the cosmological and Newton's constant
|
18 pages, For a related talk see http://pirsa.org/15060033/
| null |
10.1088/0264-9381/33/2/025011
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A modification of general relativity is presented in which Newton's constant
and the cosmological constant become a conjugate pair of dynamical variables.
|
[
{
"created": "Sun, 5 Jul 2015 15:22:28 GMT",
"version": "v1"
}
] |
2016-01-13
|
[
[
"Smolin",
"Lee",
""
]
] |
A modification of general relativity is presented in which Newton's constant and the cosmological constant become a conjugate pair of dynamical variables.
| 10.234662
| 5.775538
| 5.509465
| 5.736812
| 5.9415
| 5.642253
| 5.49403
| 5.351044
| 6.456863
| 5.917025
| 6.15737
| 6.279103
| 6.774466
| 6.590735
| 6.409013
| 6.787278
| 6.716302
| 6.375053
| 7.240107
| 6.996558
| 6.878
|
hep-th/9708008
| null |
Nemanja Kaloper and Keith A. Olive
|
Singularities In Scalar-Tensor Cosmologies
|
23 pages, latex, no figures
|
Phys.Rev.D57:811-822,1998
|
10.1103/PhysRevD.57.811
|
UMN-TH-1602/97, WATPHYS-THY-97/06
|
hep-th astro-ph gr-qc
| null |
In this article, we examine the possibility that there exist special
scalar-tensor theories of gravity with completely nonsingular FRW solutions.
Our investigation in fact shows that while most probes living in such a
Universe never see the singularity, gravity waves always do. This is because
they couple to both the metric and the scalar field, in a way which effectively
forces them to move along null geodesics of the Einstein conformal frame. Since
the metric of the Einstein conformal frame is always singular for
configurations where matter satisfies the energy conditions, the gravity wave
world lines are past inextendable beyond the Einstein frame singularity, and
hence the geometry is still incomplete, and thus singular. We conclude that the
singularity cannot be entirely removed, but only be made invisible to most, but
not all, probes in the theory.
|
[
{
"created": "Tue, 5 Aug 1997 00:29:22 GMT",
"version": "v1"
}
] |
2009-09-15
|
[
[
"Kaloper",
"Nemanja",
""
],
[
"Olive",
"Keith A.",
""
]
] |
In this article, we examine the possibility that there exist special scalar-tensor theories of gravity with completely nonsingular FRW solutions. Our investigation in fact shows that while most probes living in such a Universe never see the singularity, gravity waves always do. This is because they couple to both the metric and the scalar field, in a way which effectively forces them to move along null geodesics of the Einstein conformal frame. Since the metric of the Einstein conformal frame is always singular for configurations where matter satisfies the energy conditions, the gravity wave world lines are past inextendable beyond the Einstein frame singularity, and hence the geometry is still incomplete, and thus singular. We conclude that the singularity cannot be entirely removed, but only be made invisible to most, but not all, probes in the theory.
| 11.698686
| 11.301596
| 11.744613
| 11.188239
| 12.00985
| 12.432659
| 12.712756
| 11.602798
| 11.74171
| 12.569057
| 10.540188
| 10.756978
| 11.120809
| 10.775376
| 10.783072
| 10.610388
| 11.201685
| 10.400674
| 10.902008
| 10.923544
| 11.039761
|
1612.08569
|
Piotr T. Chru\'sciel
|
P.T. Chru\'sciel, M. H\"orzinger
|
Compact singularity-free Kerr-Newman-de Sitter instantons
|
introduction expanded, version as published in PRD
|
Phys. Rev. D 95, 086012 (2017)
|
10.1103/PhysRevD.95.086012
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Generalising arXiv:1511.08496, we construct further families of compact
Einstein-Maxwell instantons associated with the Kerr-Newman metrics with a
positive cosmological constant.
|
[
{
"created": "Tue, 27 Dec 2016 10:58:51 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Apr 2017 19:05:40 GMT",
"version": "v2"
}
] |
2017-04-19
|
[
[
"Chruściel",
"P. T.",
""
],
[
"Hörzinger",
"M.",
""
]
] |
Generalising arXiv:1511.08496, we construct further families of compact Einstein-Maxwell instantons associated with the Kerr-Newman metrics with a positive cosmological constant.
| 17.340115
| 13.941614
| 12.816463
| 11.533579
| 15.704424
| 13.23022
| 13.322612
| 12.843553
| 14.32015
| 13.522431
| 13.13127
| 15.511436
| 13.317375
| 13.756986
| 14.630929
| 14.368802
| 13.765326
| 13.3846
| 12.962739
| 12.727465
| 13.848732
|
2406.05725
|
Alberto Alonso-Izquierdo Dr
|
A. Alonso-Izquierdo, J. Mateos Guillarte, M. Rees and A. Wereszczynski
|
Spectral wall in collisions of excited Abelian Higgs vortices
|
6 pages, 4 figures and ancillary files (5 videos)
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We find a spectral wall in collisions of two vortices in the Abelian Higgs
model at the critical coupling. It occurs if the out-of-phase mode of initially
separated vortices is excited.
|
[
{
"created": "Sun, 9 Jun 2024 10:32:59 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Jun 2024 08:42:41 GMT",
"version": "v2"
}
] |
2024-06-17
|
[
[
"Alonso-Izquierdo",
"A.",
""
],
[
"Guillarte",
"J. Mateos",
""
],
[
"Rees",
"M.",
""
],
[
"Wereszczynski",
"A.",
""
]
] |
We find a spectral wall in collisions of two vortices in the Abelian Higgs model at the critical coupling. It occurs if the out-of-phase mode of initially separated vortices is excited.
| 17.953875
| 9.329647
| 12.81608
| 12.193063
| 10.506832
| 10.533254
| 11.856993
| 10.307753
| 12.004195
| 15.333801
| 11.932895
| 13.564554
| 14.472238
| 14.685633
| 14.285033
| 14.277471
| 12.992957
| 13.542535
| 12.829508
| 14.608555
| 14.051851
|
1609.01943
|
Ahmad Ghodsi
|
Ahmad Ghodsi and Ghadir Jafari
|
Gravitational Couplings on D-brane Revisited
|
15 pages
| null |
10.1007/JHEP11(2016)161
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Gravitational couplings in bulk space-time include those terms which are
fixed by scattering amplitude of strings and ambiguous terms that are coming
from the field redefinitions. These field redefinitions can be fixed in the
bulk by ghost-free condition. In this paper we have revised the effective
gravitational couplings on D-branes by including the field redefinitions. We
find the gravitational effective action up to $\alpha'^2$-order.
|
[
{
"created": "Wed, 7 Sep 2016 11:29:52 GMT",
"version": "v1"
}
] |
2016-11-29
|
[
[
"Ghodsi",
"Ahmad",
""
],
[
"Jafari",
"Ghadir",
""
]
] |
Gravitational couplings in bulk space-time include those terms which are fixed by scattering amplitude of strings and ambiguous terms that are coming from the field redefinitions. These field redefinitions can be fixed in the bulk by ghost-free condition. In this paper we have revised the effective gravitational couplings on D-branes by including the field redefinitions. We find the gravitational effective action up to $\alpha'^2$-order.
| 16.804884
| 12.948721
| 14.537189
| 12.716478
| 13.440603
| 13.483345
| 12.869881
| 14.473376
| 12.734012
| 16.920967
| 13.184891
| 13.182611
| 14.814194
| 13.795191
| 13.681871
| 13.707244
| 13.210749
| 13.802666
| 13.197052
| 14.890766
| 13.075746
|
1412.4127
|
Miguel Paulos
|
Miguel F. Paulos
|
JuliBootS: a hands-on guide to the conformal bootstrap
|
29 pages
| null | null | null |
hep-th cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We introduce {\tt JuliBootS}, a package for numerical conformal bootstrap
computations coded in {\tt Julia}. The centre-piece of {\tt JuliBootS} is an
implementation of Dantzig's simplex method capable of handling arbitrary
precision linear programming problems with continuous search spaces. Current
supported features include conformal dimension bounds, OPE bounds, and
bootstrap with or without global symmetries. The code is trivially
parallelizable on one or multiple machines. We exemplify usage extensively with
several real-world applications. In passing we give a pedagogical introduction
to the numerical bootstrap methods.
|
[
{
"created": "Fri, 12 Dec 2014 21:03:49 GMT",
"version": "v1"
}
] |
2014-12-16
|
[
[
"Paulos",
"Miguel F.",
""
]
] |
We introduce {\tt JuliBootS}, a package for numerical conformal bootstrap computations coded in {\tt Julia}. The centre-piece of {\tt JuliBootS} is an implementation of Dantzig's simplex method capable of handling arbitrary precision linear programming problems with continuous search spaces. Current supported features include conformal dimension bounds, OPE bounds, and bootstrap with or without global symmetries. The code is trivially parallelizable on one or multiple machines. We exemplify usage extensively with several real-world applications. In passing we give a pedagogical introduction to the numerical bootstrap methods.
| 16.556984
| 18.676266
| 17.801224
| 15.723554
| 16.504959
| 19.357277
| 17.0509
| 17.357504
| 16.195829
| 18.05452
| 16.013727
| 15.356111
| 14.767232
| 14.636906
| 15.178281
| 14.229734
| 15.525275
| 15.085639
| 15.160278
| 15.165614
| 15.773571
|
2211.10136
|
Matthias Blau
|
Matthias Blau, Mbambu Kakona, George Thompson
|
3 Definitions of BF Theory on Homology 3-Spheres
|
48 pages
| null |
10.1007/JHEP04(2023)146
| null |
hep-th math.GT
|
http://creativecommons.org/licenses/by/4.0/
|
3-dimensional BF theory with gauge group $G$ (= Chern-Simons theory with
non-compact gauge group $TG$) is a deceptively simple yet subtle topological
gauge theory. Formally, its partition function is a sum/integral over the
moduli space $\mathcal{M}$ of flat connections, weighted by the Ray-Singer
torsion. In practice, however, this formal expression is almost invariably
singular and ill-defined.
In order to improve upon this, we perform a direct evaluation of the path
integral for certain classes of 3-manifolds (namely integral and rational
Seifert homology spheres). By a suitable choice of gauge, we sidestep the issue
of having to integrate over $\mathcal{M}$ and reduce the partition function to
a finite-dimensional Abelian matrix integral which, however, itself requires a
definition. We offer 3 definitions of this integral, firstly via residues, and
then via a large $k$ limit of the corresponding $G\times G$ or $G_C$
Chern-Simons matrix integrals (obtained previously). We then check and discuss
to which extent the results capture the expected sum/integral over all flat
connections.
|
[
{
"created": "Fri, 18 Nov 2022 10:30:57 GMT",
"version": "v1"
}
] |
2023-05-17
|
[
[
"Blau",
"Matthias",
""
],
[
"Kakona",
"Mbambu",
""
],
[
"Thompson",
"George",
""
]
] |
3-dimensional BF theory with gauge group $G$ (= Chern-Simons theory with non-compact gauge group $TG$) is a deceptively simple yet subtle topological gauge theory. Formally, its partition function is a sum/integral over the moduli space $\mathcal{M}$ of flat connections, weighted by the Ray-Singer torsion. In practice, however, this formal expression is almost invariably singular and ill-defined. In order to improve upon this, we perform a direct evaluation of the path integral for certain classes of 3-manifolds (namely integral and rational Seifert homology spheres). By a suitable choice of gauge, we sidestep the issue of having to integrate over $\mathcal{M}$ and reduce the partition function to a finite-dimensional Abelian matrix integral which, however, itself requires a definition. We offer 3 definitions of this integral, firstly via residues, and then via a large $k$ limit of the corresponding $G\times G$ or $G_C$ Chern-Simons matrix integrals (obtained previously). We then check and discuss to which extent the results capture the expected sum/integral over all flat connections.
| 9.557476
| 9.554351
| 10.150922
| 8.800497
| 9.763233
| 9.640599
| 10.081546
| 9.232355
| 9.212287
| 10.291717
| 8.6445
| 8.589433
| 9.097277
| 8.557754
| 8.795421
| 8.539343
| 8.606519
| 8.838859
| 8.497506
| 8.741669
| 8.809029
|
1103.5470
|
Andrei Mironov
|
A.Mironov, A.Morozov, A.Popolitov and Sh.Shakirov
|
Resolvents and Seiberg-Witten representation for Gaussian beta-ensemble
|
15 pages
|
Theor.Math.Phys.171 (2012) 505-522; Teor.Mat.Fiz.171 (2012) 96-115
|
10.1007/s11232-012-0049-y
|
FIAN/TD-03/11; ITEP/TH-07/11
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The exact free energy of matrix model always obeys the Seiberg-Witten (SW)
equations on a complex curve defined by singularities of the quasiclassical
resolvent. The role of SW differential is played by the exact one-point
resolvent. We show that these properties are preserved in generalization of
matrix models to beta-ensembles. However, since the integrability and
Harer-Zagier topological recursion are still unavailable for beta-ensembles, we
need to rely upon the ordinary AMM/EO recursion to evaluate the first terms of
the genus expansion. Consideration in this paper is restricted to the Gaussian
model.
|
[
{
"created": "Mon, 28 Mar 2011 20:09:19 GMT",
"version": "v1"
},
{
"created": "Tue, 17 May 2011 13:58:49 GMT",
"version": "v2"
}
] |
2015-05-27
|
[
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
],
[
"Popolitov",
"A.",
""
],
[
"Shakirov",
"Sh.",
""
]
] |
The exact free energy of matrix model always obeys the Seiberg-Witten (SW) equations on a complex curve defined by singularities of the quasiclassical resolvent. The role of SW differential is played by the exact one-point resolvent. We show that these properties are preserved in generalization of matrix models to beta-ensembles. However, since the integrability and Harer-Zagier topological recursion are still unavailable for beta-ensembles, we need to rely upon the ordinary AMM/EO recursion to evaluate the first terms of the genus expansion. Consideration in this paper is restricted to the Gaussian model.
| 13.128526
| 12.24258
| 15.49762
| 13.033547
| 11.124502
| 11.674505
| 12.460578
| 11.944212
| 12.130466
| 17.389448
| 11.412385
| 12.232371
| 14.007964
| 12.893778
| 12.56753
| 12.889855
| 12.41252
| 12.973894
| 12.61206
| 14.447636
| 12.433505
|
1709.00850
|
Roberto Bonezzi
|
Roberto Bonezzi
|
Induced Action for Conformal Higher Spins from Worldline Path Integrals
|
24 pages, references added, minor typos corrected
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Conformal higher spin (CHS) fields, despite being non unitary, provide a
remarkable example of a consistent interacting higher spin theory in flat space
background, that is local to all orders. The non-linear action is defined as
the logarithmically UV divergent part of a one-loop scalar effective action. In
this paper we take a particle model, that describes the interaction of a scalar
particle to the CHS background, and compute its path integral on the circle. We
thus provide a worldline representation for the CHS action, and rederive its
quadratic part. We plan to come back to the subject, to compute cubic and
higher vertices, in a future work.
|
[
{
"created": "Mon, 4 Sep 2017 08:00:32 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Nov 2017 13:30:24 GMT",
"version": "v2"
}
] |
2017-11-30
|
[
[
"Bonezzi",
"Roberto",
""
]
] |
Conformal higher spin (CHS) fields, despite being non unitary, provide a remarkable example of a consistent interacting higher spin theory in flat space background, that is local to all orders. The non-linear action is defined as the logarithmically UV divergent part of a one-loop scalar effective action. In this paper we take a particle model, that describes the interaction of a scalar particle to the CHS background, and compute its path integral on the circle. We thus provide a worldline representation for the CHS action, and rederive its quadratic part. We plan to come back to the subject, to compute cubic and higher vertices, in a future work.
| 11.582102
| 11.347614
| 13.214545
| 10.361306
| 11.364265
| 11.71762
| 11.479483
| 10.162441
| 9.817833
| 12.556505
| 10.91723
| 10.529613
| 10.736223
| 10.053679
| 10.51023
| 10.199818
| 10.258131
| 10.580635
| 10.354804
| 10.623369
| 9.863048
|
hep-th/0503063
|
Steven Gratton
|
Steven Gratton and Neil Turok
|
Langevin Analysis of Eternal Inflation
|
22 pages, 2 figures
|
Phys.Rev. D72 (2005) 043507
|
10.1103/PhysRevD.72.043507
| null |
hep-th astro-ph gr-qc
| null |
It has been widely claimed that inflation is generically eternal to the
future, even in models where the inflaton potential monotonically increases
away from its minimum. The idea is that quantum fluctuations allow the field to
jump uphill, thereby continually revitalizing the inflationary process in some
regions. In this paper we investigate a simple model of this process,
pertaining to inflation with a quartic potential, in which analytic progress
may be made. We calculate several quantities of interest, such as the expected
number of inflationary efolds, first without and then with various selection
effects. With no additional weighting, the stochastic noise has little impact
on the total number of inflationary efoldings even if the inflaton starts with
a Planckian energy density. A "rolling" volume factor, i.e. weighting in
proportion to the volume at that time, also leads to a monotonically decreasing
Hubble constant and hence no eternal inflation. We show how stronger selection
effects including a constraint on the initial and final states and weighting
with the final volume factor can lead to a picture similar to that usually
associated with eternal inflation.
|
[
{
"created": "Mon, 7 Mar 2005 16:19:30 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Gratton",
"Steven",
""
],
[
"Turok",
"Neil",
""
]
] |
It has been widely claimed that inflation is generically eternal to the future, even in models where the inflaton potential monotonically increases away from its minimum. The idea is that quantum fluctuations allow the field to jump uphill, thereby continually revitalizing the inflationary process in some regions. In this paper we investigate a simple model of this process, pertaining to inflation with a quartic potential, in which analytic progress may be made. We calculate several quantities of interest, such as the expected number of inflationary efolds, first without and then with various selection effects. With no additional weighting, the stochastic noise has little impact on the total number of inflationary efoldings even if the inflaton starts with a Planckian energy density. A "rolling" volume factor, i.e. weighting in proportion to the volume at that time, also leads to a monotonically decreasing Hubble constant and hence no eternal inflation. We show how stronger selection effects including a constraint on the initial and final states and weighting with the final volume factor can lead to a picture similar to that usually associated with eternal inflation.
| 11.817828
| 13.735513
| 12.839426
| 12.310101
| 13.382484
| 13.65345
| 13.844007
| 13.216858
| 12.798035
| 14.409778
| 11.166471
| 11.406855
| 11.515579
| 11.108099
| 11.219725
| 11.242043
| 11.555017
| 11.252027
| 11.274838
| 11.165239
| 10.956382
|
hep-th/9903007
|
Paolo Di Vecchia
|
Paolo Di Vecchia
|
An introduction to AdS/CFT correspondence
|
7 pages, Latex (Talk given at the 32nd International Symposium on the
Theory of Elementary Particles, Buckow (Germany), Sept. 1-5, 1998)
|
Fortsch.Phys.48:87-92,2000
|
10.1002/(SICI)1521-3978(20001)48:1/3<87::AID-PROP87>3.0.CO;2-S
|
Nordita-99/14 HE
|
hep-th
| null |
This is an introduction to the Maldacena conjecture on the equivalence
between ${\cal{N}}=4$ super Yang-Mills in Minkowski space-time and type IIB
string theory compactified on $AdS_5 \otimes S_5 $.
|
[
{
"created": "Sun, 28 Feb 1999 17:10:31 GMT",
"version": "v1"
}
] |
2017-04-26
|
[
[
"Di Vecchia",
"Paolo",
""
]
] |
This is an introduction to the Maldacena conjecture on the equivalence between ${\cal{N}}=4$ super Yang-Mills in Minkowski space-time and type IIB string theory compactified on $AdS_5 \otimes S_5 $.
| 4.592027
| 3.484866
| 3.952622
| 3.790195
| 4.051392
| 3.944895
| 3.680877
| 3.566029
| 3.922372
| 4.015044
| 3.621123
| 3.844864
| 3.700422
| 3.885177
| 4.047292
| 3.847512
| 3.896151
| 3.858229
| 3.81078
| 4.014731
| 3.91408
|
2203.14449
|
Zhang Yaobo
|
Bo Feng, Tingfei Li, Hongbin Wang, Yaobo Zhang
|
Reduction of General One-loop Integrals Using Auxiliary Vector
|
24 pages,no figures
| null |
10.1007/JHEP05(2022)065
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
As a key method to deal with loop integrals, Integration-By-Parts (IBP)
method can be used to do reduction as well as establish the differential
equations for master integrals. However, when talking about tensor reduction,
the Passarino-Veltman (PV) reduction method is also widely used for one-loop
integrals. Recently, we have proposed an improved PV reduction method, i.e.,
the PV reduction method with auxiliary vector $R$, which can easily give
analytical reduction results for any tensor rank. However, our results are only
for integrals with propagators with power one. In this paper, we generalize our
method to one-loop integrals with general tensor structures and propagators
with general powers. Our ideas are simple. We solve the generalised reduction
problem by combining differentiation over masses and proper limit of reduction
with power-one propagators. Finally, we demonstrate our method with several
examples. With the result in this paper, we have shown that our improved
PV-reduction method with auxiliary vector is a self-completed reduction method
for one-loop integrals.
|
[
{
"created": "Mon, 28 Mar 2022 02:15:38 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Mar 2022 05:07:49 GMT",
"version": "v2"
},
{
"created": "Sun, 17 Apr 2022 16:32:54 GMT",
"version": "v3"
}
] |
2022-06-01
|
[
[
"Feng",
"Bo",
""
],
[
"Li",
"Tingfei",
""
],
[
"Wang",
"Hongbin",
""
],
[
"Zhang",
"Yaobo",
""
]
] |
As a key method to deal with loop integrals, Integration-By-Parts (IBP) method can be used to do reduction as well as establish the differential equations for master integrals. However, when talking about tensor reduction, the Passarino-Veltman (PV) reduction method is also widely used for one-loop integrals. Recently, we have proposed an improved PV reduction method, i.e., the PV reduction method with auxiliary vector $R$, which can easily give analytical reduction results for any tensor rank. However, our results are only for integrals with propagators with power one. In this paper, we generalize our method to one-loop integrals with general tensor structures and propagators with general powers. Our ideas are simple. We solve the generalised reduction problem by combining differentiation over masses and proper limit of reduction with power-one propagators. Finally, we demonstrate our method with several examples. With the result in this paper, we have shown that our improved PV-reduction method with auxiliary vector is a self-completed reduction method for one-loop integrals.
| 9.95872
| 10.619416
| 9.338963
| 8.619822
| 9.427985
| 9.762962
| 10.225553
| 9.128016
| 8.845644
| 10.062846
| 9.636447
| 9.248403
| 9.090618
| 9.216227
| 9.241775
| 9.39102
| 9.021615
| 9.608259
| 9.150703
| 9.424397
| 9.332798
|
2307.03573
|
Roberto Emparan
|
Nejc \v{C}eplak, Roberto Emparan, Andrea Puhm, Marija Toma\v{s}evi\'c
|
The correspondence between rotating black holes and fundamental strings
|
48 pages, 11 figures. v2: 50 pages, 11 figures. Added discussion of
ensembles in the correspondence and other smaller improvements. v3: published
version
|
JHEP 11 (2023) 226
|
10.1007/JHEP11(2023)226
|
CPHT-RR037.072023
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The correspondence principle between strings and black holes is a general
framework for matching black holes and massive states of fundamental strings at
a point where their physical properties (such as mass, entropy and temperature)
smoothly agree with each other. This correspondence becomes puzzling when
attempting to include rotation: At large enough spins, there exist degenerate
string states that seemingly cannot be matched to any black hole. Conversely,
there exist black holes with arbitrarily large spins that cannot correspond to
any single-string state. We discuss in detail the properties of both types of
objects and find that a correspondence that resolves the puzzles is possible by
adding dynamical features and non-stationary configurations to the picture. Our
scheme incorporates all black hole and string phases as part of the
correspondence, save for one outlier which remains enigmatic: the near-extremal
Kerr black hole. Along the way, we elaborate on general aspects of the
correspondence that have not been emphasized before.
|
[
{
"created": "Fri, 7 Jul 2023 13:07:47 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Sep 2023 04:28:33 GMT",
"version": "v2"
},
{
"created": "Sun, 3 Dec 2023 19:07:15 GMT",
"version": "v3"
}
] |
2023-12-05
|
[
[
"Čeplak",
"Nejc",
""
],
[
"Emparan",
"Roberto",
""
],
[
"Puhm",
"Andrea",
""
],
[
"Tomašević",
"Marija",
""
]
] |
The correspondence principle between strings and black holes is a general framework for matching black holes and massive states of fundamental strings at a point where their physical properties (such as mass, entropy and temperature) smoothly agree with each other. This correspondence becomes puzzling when attempting to include rotation: At large enough spins, there exist degenerate string states that seemingly cannot be matched to any black hole. Conversely, there exist black holes with arbitrarily large spins that cannot correspond to any single-string state. We discuss in detail the properties of both types of objects and find that a correspondence that resolves the puzzles is possible by adding dynamical features and non-stationary configurations to the picture. Our scheme incorporates all black hole and string phases as part of the correspondence, save for one outlier which remains enigmatic: the near-extremal Kerr black hole. Along the way, we elaborate on general aspects of the correspondence that have not been emphasized before.
| 13.840362
| 14.246155
| 14.663726
| 13.090569
| 14.260257
| 14.002771
| 13.152787
| 13.394812
| 13.317331
| 14.089204
| 13.118276
| 12.913587
| 13.278996
| 12.945276
| 13.26009
| 12.922882
| 13.290595
| 13.000126
| 13.146379
| 13.475268
| 13.514132
|
0807.2314
|
Romanczukiewicz Tomasz
|
Tomasz Romanczukiewicz
|
Negative radiation pressure in case of two interacting fields
|
15 pages, 6 figures
|
Acta Phys.Polon.B39:3449-3462,2008
| null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study a simple toy model, which although probably does not have any direct
physical applications, can serve as a nice pedagogical example for explanation
strange phenomenon of negative radiation pressure and can also give some
insight for understanding the interaction between radiation and a vortex. The
model discussed is a classical field theory of two interacting scalar fields in
1+1 d. Without coupling one of the fields is governed by the ordinary $\phi^4$
equation and the second one obeys the Klein-Gordon equation. The possibility of
existence of the {\it negative radiation pressure} with a respect to the mass
ratio of those two fields is discussed.
|
[
{
"created": "Tue, 15 Jul 2008 07:32:00 GMT",
"version": "v1"
}
] |
2008-12-19
|
[
[
"Romanczukiewicz",
"Tomasz",
""
]
] |
We study a simple toy model, which although probably does not have any direct physical applications, can serve as a nice pedagogical example for explanation strange phenomenon of negative radiation pressure and can also give some insight for understanding the interaction between radiation and a vortex. The model discussed is a classical field theory of two interacting scalar fields in 1+1 d. Without coupling one of the fields is governed by the ordinary $\phi^4$ equation and the second one obeys the Klein-Gordon equation. The possibility of existence of the {\it negative radiation pressure} with a respect to the mass ratio of those two fields is discussed.
| 12.291966
| 11.565894
| 11.049343
| 11.154592
| 11.135855
| 13.478318
| 11.819166
| 11.756825
| 11.316525
| 11.286783
| 11.347585
| 10.686756
| 10.83811
| 10.360782
| 10.368539
| 10.674322
| 11.088855
| 10.605176
| 10.907853
| 10.660489
| 11.081873
|
hep-th/0604149
|
Manoel Messias Ferreira Junior
|
H. Belich, T. Costa-Soares, M.M. Ferreira Jr., J.A. Helayel-Neto, and
F. M. O. Mouchereck
|
Lorentz-violating corrections on the hydrogen spectrum induced by a
non-minimal coupling
|
7 pages, revtex style, no figures
|
Phys.Rev. D74 (2006) 065009
|
10.1103/PhysRevD.74.065009
| null |
hep-th
| null |
The influence of a Lorentz-violating fixed background on fermions is
considered by means of a torsion-free non-minimal coupling. The
non-relativistic regime is assessed and the Lorentz-violating Hamiltonian is
determined. The effect of this Hamiltonian on the hydrogen spectrum is
determined to first-order evaluation (in the absence of external magnetic
field), revealing that there appear some energy shifts that modify the fine
structure of the spectrum. In the case the non-minimal coupling is
torsion-like, no first order correction shows up in the absence of an external
field; in the presence of an external field, a secondary Zeeman effect is
implied. Such effects are then used to set up stringent bounds on the
parameters of the model.
|
[
{
"created": "Thu, 20 Apr 2006 22:52:38 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Belich",
"H.",
""
],
[
"Costa-Soares",
"T.",
""
],
[
"Ferreira",
"M. M.",
"Jr."
],
[
"Helayel-Neto",
"J. A.",
""
],
[
"Mouchereck",
"F. M. O.",
""
]
] |
The influence of a Lorentz-violating fixed background on fermions is considered by means of a torsion-free non-minimal coupling. The non-relativistic regime is assessed and the Lorentz-violating Hamiltonian is determined. The effect of this Hamiltonian on the hydrogen spectrum is determined to first-order evaluation (in the absence of external magnetic field), revealing that there appear some energy shifts that modify the fine structure of the spectrum. In the case the non-minimal coupling is torsion-like, no first order correction shows up in the absence of an external field; in the presence of an external field, a secondary Zeeman effect is implied. Such effects are then used to set up stringent bounds on the parameters of the model.
| 10.2941
| 8.739187
| 9.978054
| 9.036399
| 9.209746
| 9.114021
| 8.995113
| 8.798951
| 9.019047
| 9.952626
| 9.318439
| 9.689992
| 9.681616
| 9.678055
| 9.838113
| 9.836473
| 9.362903
| 9.782173
| 9.409203
| 9.533144
| 9.594794
|
1807.11540
|
Martin Schvellinger
|
Nicolas Kovensky, Gustavo Michalski and Martin Schvellinger
|
Deep inelastic scattering from polarized spin-$1/2$ hadrons at low $x$
from string theory
|
39 pages, 8 figures
| null |
10.1007/JHEP10(2018)084
| null |
hep-th hep-ex hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study polarized deep inelastic scattering of charged leptons from
spin-$1/2$ hadrons at low values of the Bjorken parameter and large 't Hooft
coupling in terms of the gauge/string theory duality. We calculate the
structure functions from type IIB superstring theory scattering amplitudes. We
discuss the role of the non-Abelian Chern-Simons term and the Pauli term from
the five-dimensional $SU(4)$ gauged supergravity. Furthermore, the
exponentially small-$x$ regime where Regge physics becomes important is
analyzed in detail for the antisymmetric structure functions. In this case the
holographic dual picture of the Pomeron exchange is realized by a Reggeized
gauge field. We compare our results with experimental data of the proton
antisymmetric structure function $g_1$, obtaining a very good level of
agreement.
|
[
{
"created": "Mon, 30 Jul 2018 19:30:00 GMT",
"version": "v1"
}
] |
2018-11-14
|
[
[
"Kovensky",
"Nicolas",
""
],
[
"Michalski",
"Gustavo",
""
],
[
"Schvellinger",
"Martin",
""
]
] |
We study polarized deep inelastic scattering of charged leptons from spin-$1/2$ hadrons at low values of the Bjorken parameter and large 't Hooft coupling in terms of the gauge/string theory duality. We calculate the structure functions from type IIB superstring theory scattering amplitudes. We discuss the role of the non-Abelian Chern-Simons term and the Pauli term from the five-dimensional $SU(4)$ gauged supergravity. Furthermore, the exponentially small-$x$ regime where Regge physics becomes important is analyzed in detail for the antisymmetric structure functions. In this case the holographic dual picture of the Pomeron exchange is realized by a Reggeized gauge field. We compare our results with experimental data of the proton antisymmetric structure function $g_1$, obtaining a very good level of agreement.
| 8.629946
| 8.243322
| 8.488175
| 7.653913
| 8.228955
| 8.349166
| 7.738205
| 8.139333
| 7.777634
| 9.353945
| 7.762658
| 8.423738
| 8.31632
| 8.078297
| 7.94767
| 8.615263
| 8.007698
| 8.298174
| 7.975036
| 8.224134
| 8.367308
|
1210.0201
|
Federico Piazza
|
Giulia Gubitosi, Federico Piazza and Filippo Vernizzi
|
The Effective Field Theory of Dark Energy
|
39 pages; typos corrected and clarifications added; matches the JCAP
version
| null |
10.1088/1475-7516/2013/02/032
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a universal description of dark energy and modified gravity that
includes all single-field models. By extending a formalism previously applied
to inflation, we consider the metric universally coupled to matter fields and
we write in terms of it the most general unitary gauge action consistent with
the residual unbroken symmetries of spatial diffeomorphisms. Our action is
particularly suited for cosmological perturbation theory: the background
evolution depends on only three operators. All other operators start at least
at quadratic order in the perturbations and their effects can be studied
independently and systematically. In particular, we focus on the properties of
a few operators which appear in non-minimally coupled scalar-tensor gravity and
galileon theories. In this context, we study the mixing between gravity and the
scalar degree of freedom. We assess the quantum and classical stability, derive
the speed of sound of fluctuations and the renormalization of the Newton
constant. The scalar can always be de-mixed from gravity at quadratic order in
the perturbations, but not necessarily through a conformal rescaling of the
metric. We show how to express covariant field-operators in our formalism and
give several explicit examples of dark energy and modified gravity models in
our language. Finally, we discuss the relation with the covariant EFT methods
recently appeared in the literature.
|
[
{
"created": "Sun, 30 Sep 2012 13:54:32 GMT",
"version": "v1"
},
{
"created": "Sun, 17 Feb 2013 21:28:56 GMT",
"version": "v2"
}
] |
2015-06-11
|
[
[
"Gubitosi",
"Giulia",
""
],
[
"Piazza",
"Federico",
""
],
[
"Vernizzi",
"Filippo",
""
]
] |
We propose a universal description of dark energy and modified gravity that includes all single-field models. By extending a formalism previously applied to inflation, we consider the metric universally coupled to matter fields and we write in terms of it the most general unitary gauge action consistent with the residual unbroken symmetries of spatial diffeomorphisms. Our action is particularly suited for cosmological perturbation theory: the background evolution depends on only three operators. All other operators start at least at quadratic order in the perturbations and their effects can be studied independently and systematically. In particular, we focus on the properties of a few operators which appear in non-minimally coupled scalar-tensor gravity and galileon theories. In this context, we study the mixing between gravity and the scalar degree of freedom. We assess the quantum and classical stability, derive the speed of sound of fluctuations and the renormalization of the Newton constant. The scalar can always be de-mixed from gravity at quadratic order in the perturbations, but not necessarily through a conformal rescaling of the metric. We show how to express covariant field-operators in our formalism and give several explicit examples of dark energy and modified gravity models in our language. Finally, we discuss the relation with the covariant EFT methods recently appeared in the literature.
| 8.539703
| 9.159019
| 9.878077
| 8.937559
| 10.154806
| 9.948588
| 10.686331
| 9.327085
| 9.546522
| 10.576895
| 9.53436
| 9.326378
| 9.031006
| 8.991214
| 9.550834
| 9.049397
| 9.436782
| 9.257721
| 8.757463
| 9.233663
| 8.855992
|
1310.5152
|
Rakibur Rahman
|
Marc Henneaux, Gustavo Lucena Gomez and Rakibur Rahman
|
Gravitational Interactions of Higher-Spin Fermions
|
typos corrected, published in JHEP
| null |
10.1007/JHEP01(2014)087
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the cubic interactions of a massless higher-spin fermion with
gravity in flat space and present covariant 2-s-s vertices, compatible with the
gauge symmetries of the system, preserving parity. This explicit construction
relies on the BRST deformation scheme that assumes locality and Poincare
invariance. Consistent nontrivial cubic deformations exclude minimal
gravitational coupling and may appear only with a number of derivatives
constrained in a given range. Derived in an independent manner, our results do
agree with those obtained from the light-cone formulation or inspired by string
theory. We also show that none of the Abelian vertices deform the gauge
transformations, while all the non-Abelian ones are obstructed in a local
theory beyond the cubic order.
|
[
{
"created": "Fri, 18 Oct 2013 20:01:24 GMT",
"version": "v1"
},
{
"created": "Sun, 14 Sep 2014 15:13:38 GMT",
"version": "v2"
}
] |
2015-06-17
|
[
[
"Henneaux",
"Marc",
""
],
[
"Gomez",
"Gustavo Lucena",
""
],
[
"Rahman",
"Rakibur",
""
]
] |
We investigate the cubic interactions of a massless higher-spin fermion with gravity in flat space and present covariant 2-s-s vertices, compatible with the gauge symmetries of the system, preserving parity. This explicit construction relies on the BRST deformation scheme that assumes locality and Poincare invariance. Consistent nontrivial cubic deformations exclude minimal gravitational coupling and may appear only with a number of derivatives constrained in a given range. Derived in an independent manner, our results do agree with those obtained from the light-cone formulation or inspired by string theory. We also show that none of the Abelian vertices deform the gauge transformations, while all the non-Abelian ones are obstructed in a local theory beyond the cubic order.
| 18.90802
| 16.841724
| 20.844416
| 16.615236
| 17.981373
| 16.256912
| 18.054358
| 17.560839
| 16.445337
| 21.606569
| 17.594839
| 17.943249
| 18.393442
| 17.274624
| 18.026646
| 17.990549
| 17.426748
| 17.028452
| 17.810669
| 19.237532
| 17.374748
|
1306.5488
|
David Turton
|
Samir D. Mathur, David Turton
|
The flaw in the firewall argument
|
52 pages, 13 figures, v3: comments on Rindler space added, references
added
|
Nucl. Phys. B 884 (2014) 566
|
10.1016/j.nuclphysb.2014.05.012
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A lot of confusion surrounds the issue of black hole complementarity, because
the question has been considered without discussing the mechanism which
guarantees unitarity. Considering such a mechanism leads to the following: (1)
The Hawking quanta with energy E of order the black hole temperature T carry
information, and so only appropriate processes involving E>>T quanta can have
any possible complementary description with an information-free horizon; (2)
The stretched horizon describes all possible black hole states with a given
mass M, and it must expand out to a distance s_{bubble} before it can accept
additional infalling bits; (3) The Hawking radiation has a specific low
temperature T, and infalling quanta interact significantly with it only within
a distance s_{alpha} of the horizon. One finds s_{alpha} << s_{bubble} for
E>>T, and this removes the argument against complementarity recently made by
Almheiri et al. In particular, the condition E>>T leads to the notion of
'fuzzball complementarity', where the modes around the horizon are indeed
correctly entangled in the complementary picture to give the vacuum.
|
[
{
"created": "Sun, 23 Jun 2013 23:41:38 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Nov 2013 20:54:04 GMT",
"version": "v2"
},
{
"created": "Wed, 28 May 2014 19:18:57 GMT",
"version": "v3"
}
] |
2014-05-29
|
[
[
"Mathur",
"Samir D.",
""
],
[
"Turton",
"David",
""
]
] |
A lot of confusion surrounds the issue of black hole complementarity, because the question has been considered without discussing the mechanism which guarantees unitarity. Considering such a mechanism leads to the following: (1) The Hawking quanta with energy E of order the black hole temperature T carry information, and so only appropriate processes involving E>>T quanta can have any possible complementary description with an information-free horizon; (2) The stretched horizon describes all possible black hole states with a given mass M, and it must expand out to a distance s_{bubble} before it can accept additional infalling bits; (3) The Hawking radiation has a specific low temperature T, and infalling quanta interact significantly with it only within a distance s_{alpha} of the horizon. One finds s_{alpha} << s_{bubble} for E>>T, and this removes the argument against complementarity recently made by Almheiri et al. In particular, the condition E>>T leads to the notion of 'fuzzball complementarity', where the modes around the horizon are indeed correctly entangled in the complementary picture to give the vacuum.
| 14.953161
| 14.827328
| 16.921062
| 14.512214
| 15.749371
| 15.82675
| 16.461231
| 15.313076
| 14.911538
| 16.611897
| 13.959302
| 14.065332
| 15.073466
| 14.642193
| 14.422603
| 14.413433
| 14.756551
| 14.42018
| 14.410661
| 14.896249
| 14.630768
|
hep-th/9809180
|
Yuji Ohta
|
Yuji Ohta (Res. Inst. Math. Sci., Kyoto Univ.)
|
Differential Equations for Scaling Relation in N=2 Supersymmetric SU(2)
Yang-Mills Theory Coupled with Massive Hypermultiplet
|
revtex
|
J.Math.Phys. 40 (1999) 1891-1900
|
10.1063/1.532839
| null |
hep-th
| null |
Differential equations for scaling relation of prepotential in N=2
supersymmetric SU(2) Yang-Mills theory coupled with massive matter
hypermultiplet are proposed and are explicitly demonstrated in one flavour
($N_f =1$) theory. By applying Whitham dynamics, the first order derivative of
the prepotential over the $T_0$ variable corresponding to the mass of the
hypermultiplet, which has a line integral representation, is found to satisfy a
differential equation. As the result, the closed form of this derivative can be
obtained by solving this equation. In this way, the scaling relation of massive
prepotential is established. Furthermore, as an application of another
differential equation for the massive scaling relation, the massive
prepotential in strong coupling region is derived.
|
[
{
"created": "Fri, 25 Sep 1998 10:01:25 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Feb 1999 06:47:00 GMT",
"version": "v2"
},
{
"created": "Mon, 31 May 1999 12:10:21 GMT",
"version": "v3"
}
] |
2015-06-26
|
[
[
"Ohta",
"Yuji",
"",
"Res. Inst. Math. Sci., Kyoto Univ."
]
] |
Differential equations for scaling relation of prepotential in N=2 supersymmetric SU(2) Yang-Mills theory coupled with massive matter hypermultiplet are proposed and are explicitly demonstrated in one flavour ($N_f =1$) theory. By applying Whitham dynamics, the first order derivative of the prepotential over the $T_0$ variable corresponding to the mass of the hypermultiplet, which has a line integral representation, is found to satisfy a differential equation. As the result, the closed form of this derivative can be obtained by solving this equation. In this way, the scaling relation of massive prepotential is established. Furthermore, as an application of another differential equation for the massive scaling relation, the massive prepotential in strong coupling region is derived.
| 10.59211
| 10.31332
| 10.874872
| 8.991293
| 9.980597
| 10.617841
| 9.485096
| 9.740259
| 9.450952
| 11.84481
| 9.563232
| 8.897642
| 9.961016
| 9.331848
| 8.927202
| 8.7892
| 8.763218
| 8.825803
| 9.068848
| 9.944745
| 8.927967
|
1610.08063
|
Shira Chapman Ms.
|
Shira Chapman, Hugo Marrochio and Robert C. Myers
|
Complexity of Formation in Holography
|
37+32 pages, 24 figures; v2 - added appendix (Insights from MERA),
added references, corrected typos
|
JHEP 1701 (2017) 062
|
10.1007/JHEP01(2017)062
| null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It was recently conjectured that the quantum complexity of a holographic
boundary state can be computed by evaluating the gravitational action on a bulk
region known as the Wheeler-DeWitt patch. We apply this complexity=action
duality to evaluate the `complexity of formation' (arXiv:1509.07876,
arXiv:1512.04993), i.e., the additional complexity arising in preparing the
entangled thermofield double state with two copies of the boundary CFT compared
to preparing the individual vacuum states of the two copies. We find that for
boundary dimensions $d>2$, the difference in the complexities grows linearly
with the thermal entropy at high temperatures. For the special case $d=2$, the
complexity of formation is a fixed constant, independent of the temperature. We
compare these results to those found using the complexity=volume duality.
|
[
{
"created": "Tue, 25 Oct 2016 20:00:09 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Nov 2016 03:20:25 GMT",
"version": "v2"
}
] |
2017-06-15
|
[
[
"Chapman",
"Shira",
""
],
[
"Marrochio",
"Hugo",
""
],
[
"Myers",
"Robert C.",
""
]
] |
It was recently conjectured that the quantum complexity of a holographic boundary state can be computed by evaluating the gravitational action on a bulk region known as the Wheeler-DeWitt patch. We apply this complexity=action duality to evaluate the `complexity of formation' (arXiv:1509.07876, arXiv:1512.04993), i.e., the additional complexity arising in preparing the entangled thermofield double state with two copies of the boundary CFT compared to preparing the individual vacuum states of the two copies. We find that for boundary dimensions $d>2$, the difference in the complexities grows linearly with the thermal entropy at high temperatures. For the special case $d=2$, the complexity of formation is a fixed constant, independent of the temperature. We compare these results to those found using the complexity=volume duality.
| 6.109823
| 6.566931
| 6.683361
| 5.517885
| 5.873653
| 6.507865
| 6.152807
| 6.080937
| 6.318508
| 7.903056
| 5.794141
| 5.558946
| 5.938421
| 5.283644
| 5.154846
| 5.486107
| 5.412367
| 5.503996
| 5.450257
| 5.812299
| 5.555443
|
hep-th/0506184
|
Pavel Kovtun
|
Pavel K. Kovtun and Andrei O. Starinets
|
Quasinormal modes and holography
|
28 pages; v2: typos fixed, ref. added
|
Phys.Rev.D72:086009,2005
|
10.1103/PhysRevD.72.086009
|
NSF-KITP-05-41
|
hep-th gr-qc hep-ph
| null |
Quasinormal frequencies of electromagnetic and gravitational perturbations in
asymptotically AdS spacetime can be identified with poles of the corresponding
real-time Green's functions in a holographically dual finite temperature field
theory. The quasinormal modes are defined for gauge-invariant quantities which
obey incoming-wave boundary condition at the horizon and Dirichlet condition at
the boundary. As an application, we explicitly find poles of retarded
correlation functions of R-symmetry currents and the energy-momentum tensor in
strongly coupled finite temperature N=4 supersymmetric SU(Nc) Yang-Mills theory
in the limit of large Nc.
|
[
{
"created": "Wed, 22 Jun 2005 03:13:27 GMT",
"version": "v1"
},
{
"created": "Sat, 8 Oct 2005 02:37:22 GMT",
"version": "v2"
}
] |
2009-07-09
|
[
[
"Kovtun",
"Pavel K.",
""
],
[
"Starinets",
"Andrei O.",
""
]
] |
Quasinormal frequencies of electromagnetic and gravitational perturbations in asymptotically AdS spacetime can be identified with poles of the corresponding real-time Green's functions in a holographically dual finite temperature field theory. The quasinormal modes are defined for gauge-invariant quantities which obey incoming-wave boundary condition at the horizon and Dirichlet condition at the boundary. As an application, we explicitly find poles of retarded correlation functions of R-symmetry currents and the energy-momentum tensor in strongly coupled finite temperature N=4 supersymmetric SU(Nc) Yang-Mills theory in the limit of large Nc.
| 5.783437
| 5.862392
| 6.026406
| 5.593254
| 5.196013
| 5.304048
| 5.522341
| 5.220238
| 5.182659
| 7.044787
| 5.515165
| 5.254089
| 5.548128
| 5.433978
| 5.49822
| 5.280985
| 5.36162
| 5.439873
| 5.634343
| 5.43804
| 5.485595
|
0811.3624
|
Michael Kiermaier
|
Henriette Elvang (IAS), Daniel Z. Freedman (MIT), Michael Kiermaier
(MIT)
|
Proof of the MHV vertex expansion for all tree amplitudes in N=4 SYM
theory
|
40 pages, 7 figures
|
JHEP 0906:068,2009
|
10.1088/1126-6708/2009/06/068
|
MIT-CTP-4000, UUITP-26/08
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We prove the MHV vertex expansion for all tree amplitudes of N=4 SYM theory.
The proof uses a shift acting on all external momenta, and we show that every
N^kMHV tree amplitude falls off as 1/z^k, or faster, for large z under this
shift. The MHV vertex expansion allows us to derive compact and efficient
generating functions for all N^kMHV tree amplitudes of the theory. We also
derive an improved form of the anti-NMHV generating function. The proof leads
to a curious set of sum rules for the diagrams of the MHV vertex expansion.
|
[
{
"created": "Fri, 21 Nov 2008 20:00:30 GMT",
"version": "v1"
}
] |
2009-07-22
|
[
[
"Elvang",
"Henriette",
"",
"IAS"
],
[
"Freedman",
"Daniel Z.",
"",
"MIT"
],
[
"Kiermaier",
"Michael",
"",
"MIT"
]
] |
We prove the MHV vertex expansion for all tree amplitudes of N=4 SYM theory. The proof uses a shift acting on all external momenta, and we show that every N^kMHV tree amplitude falls off as 1/z^k, or faster, for large z under this shift. The MHV vertex expansion allows us to derive compact and efficient generating functions for all N^kMHV tree amplitudes of the theory. We also derive an improved form of the anti-NMHV generating function. The proof leads to a curious set of sum rules for the diagrams of the MHV vertex expansion.
| 7.616806
| 7.270433
| 7.754678
| 7.100944
| 7.014938
| 6.949569
| 6.307391
| 7.033509
| 6.666425
| 7.635237
| 6.744283
| 6.843734
| 7.519058
| 7.051888
| 7.108708
| 7.167164
| 7.130951
| 7.288045
| 6.959193
| 7.19358
| 7.111687
|
2207.13996
|
Xuan Li
|
Xuan Li, Yuan-Chun Jing, Fu-Zhong Yang
|
D-brane Superpotentials and Geometric Invariants in Complete
Intersection Calabi-Yau Manifolds
|
29 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
By blowing up the ambient space along the curve wrapped by B-branes, we study
the brane superpotentials and Ooguri-Vafa invariants on complete intersections
Calabi-Yau threefolds. On the topological B-model side, B-brane superpotentials
are expressed in terms of the period integral of the blow-up manifolds. By
mirror maps, the superpotentials are generating functions of Ooguri-Vafa
invariants counting holomorphic disks on the topological A-model side.
|
[
{
"created": "Thu, 28 Jul 2022 10:28:18 GMT",
"version": "v1"
}
] |
2022-07-29
|
[
[
"Li",
"Xuan",
""
],
[
"Jing",
"Yuan-Chun",
""
],
[
"Yang",
"Fu-Zhong",
""
]
] |
By blowing up the ambient space along the curve wrapped by B-branes, we study the brane superpotentials and Ooguri-Vafa invariants on complete intersections Calabi-Yau threefolds. On the topological B-model side, B-brane superpotentials are expressed in terms of the period integral of the blow-up manifolds. By mirror maps, the superpotentials are generating functions of Ooguri-Vafa invariants counting holomorphic disks on the topological A-model side.
| 8.29312
| 7.895031
| 9.548519
| 6.610212
| 8.35831
| 8.406893
| 7.465284
| 7.546851
| 7.29237
| 9.897216
| 7.02559
| 6.817498
| 8.473251
| 7.039701
| 7.218651
| 6.928686
| 7.566072
| 6.952841
| 7.215535
| 7.7277
| 6.958131
|
hep-th/9603156
|
Vipul Periwal
|
Vipul Periwal and {\O}yvind Tafjord
|
D-brane recoil
|
Plain TeX, 5 pages
|
Phys.Rev.D54:3690-3692,1996
|
10.1103/PhysRevD.54.R3690
|
PUPT-1607
|
hep-th
| null |
It is shown that there are logarithmic operators in D-brane backgrounds that
lead to infrared divergences in open string loop amplitudes. These divergences
can be cancelled by changing the closed string background by operators that
correspond to the D-brane moving with constant velocity after some instant in
time, since it is precisely such operators that give rise to the appropriate
ultraviolet divergences in the closed string channel.
|
[
{
"created": "Sat, 23 Mar 1996 18:02:25 GMT",
"version": "v1"
}
] |
2009-12-30
|
[
[
"Periwal",
"Vipul",
""
],
[
"Tafjord",
"Øyvind",
""
]
] |
It is shown that there are logarithmic operators in D-brane backgrounds that lead to infrared divergences in open string loop amplitudes. These divergences can be cancelled by changing the closed string background by operators that correspond to the D-brane moving with constant velocity after some instant in time, since it is precisely such operators that give rise to the appropriate ultraviolet divergences in the closed string channel.
| 10.136537
| 9.725445
| 11.225911
| 9.327812
| 8.699082
| 9.031932
| 9.445128
| 7.969303
| 8.533332
| 12.167284
| 8.530137
| 8.90301
| 10.410868
| 9.178985
| 8.987396
| 9.346082
| 9.051171
| 9.220307
| 9.338393
| 10.400284
| 9.201299
|
1411.7987
|
Paolo Benincasa
|
Paolo Benincasa, Eduardo Conde, David Gordo
|
On the Regularization of On-Shell Diagrams
|
5 pages, 3 figures
| null | null | null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this letter we discuss a regularization scheme for the integration of
generic on-shell forms. The basic idea is to extend the three-particle
amplitudes to the space of unphysical helicities keeping the dimension of the
related coupling constant fixed, and construct on-shell forms out of them. We
briefly discuss the analytic structure of the extended on-shell diagrams, both
at tree level and one loop. Furthermore, we propose an integration contour
which, applied to the relevant on-shell forms, allows to extract the
four-particle amplitudes in Lorentz signature at one loop. With this contour at
hand, we explicitly apply our procedure to this case obtaining the IR
divergences as poles in the deformation parameter space, as well as the correct
functional form for the finite term. This procedure provides a natural
regularization for generic on-shell diagrams.
|
[
{
"created": "Fri, 28 Nov 2014 20:11:22 GMT",
"version": "v1"
}
] |
2014-12-01
|
[
[
"Benincasa",
"Paolo",
""
],
[
"Conde",
"Eduardo",
""
],
[
"Gordo",
"David",
""
]
] |
In this letter we discuss a regularization scheme for the integration of generic on-shell forms. The basic idea is to extend the three-particle amplitudes to the space of unphysical helicities keeping the dimension of the related coupling constant fixed, and construct on-shell forms out of them. We briefly discuss the analytic structure of the extended on-shell diagrams, both at tree level and one loop. Furthermore, we propose an integration contour which, applied to the relevant on-shell forms, allows to extract the four-particle amplitudes in Lorentz signature at one loop. With this contour at hand, we explicitly apply our procedure to this case obtaining the IR divergences as poles in the deformation parameter space, as well as the correct functional form for the finite term. This procedure provides a natural regularization for generic on-shell diagrams.
| 13.128976
| 12.556927
| 13.482978
| 11.882117
| 12.958944
| 12.819555
| 13.542964
| 12.514147
| 12.12331
| 14.041304
| 12.599602
| 12.452135
| 12.621146
| 12.20668
| 12.505971
| 12.383818
| 12.541536
| 12.396324
| 12.39323
| 12.856338
| 12.095078
|
1412.1492
|
Alfredo Perez
|
Claudio Bunster and Alfredo Perez
|
Superselection rule for the cosmological constant in three-dimensional
spacetime
|
7 pages, 1 table
| null |
10.1103/PhysRevD.91.024029
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Efforts to understand the origin of the cosmological constant {\Lambda} and
its observed value have led to consider it as a dynamical field rather than as
a universal constant. Then the possibility arises that the universe, or regions
of it, might be in a superposition of quantum states with different values of
{\Lambda}, so that its actual value would not be definite. There appears to be
no argument to rule out this possibility for a generic spacetime dimension D.
However, as proved herein, for D=3 there exists a superselection rule that
forbids such superpositions. The proof is based on the asymptotic symmetry
algebra.
|
[
{
"created": "Wed, 3 Dec 2014 21:20:10 GMT",
"version": "v1"
}
] |
2015-06-23
|
[
[
"Bunster",
"Claudio",
""
],
[
"Perez",
"Alfredo",
""
]
] |
Efforts to understand the origin of the cosmological constant {\Lambda} and its observed value have led to consider it as a dynamical field rather than as a universal constant. Then the possibility arises that the universe, or regions of it, might be in a superposition of quantum states with different values of {\Lambda}, so that its actual value would not be definite. There appears to be no argument to rule out this possibility for a generic spacetime dimension D. However, as proved herein, for D=3 there exists a superselection rule that forbids such superpositions. The proof is based on the asymptotic symmetry algebra.
| 8.758281
| 8.861197
| 8.20972
| 7.516778
| 8.535695
| 8.202182
| 8.780288
| 8.235525
| 7.757962
| 8.763799
| 8.023713
| 7.972572
| 7.848037
| 7.903563
| 7.971804
| 7.919653
| 8.170241
| 7.679196
| 8.174327
| 8.253653
| 8.051558
|
hep-th/0304093
|
Sumit Das
|
Sumit R. Das and Antal Jevicki
|
Large-N Collective Fields and Holography
|
27 pages, harvmac. v2: references added
|
Phys.Rev. D68 (2003) 044011
|
10.1103/PhysRevD.68.044011
|
UK-03-04,Brown-HET-1350
|
hep-th
| null |
We propose that the euclidean bilocal collective field theory of critical
large-N vector models provides a complete definition of the proposed dual
theory of higher spin fields in anti de-Sitter spaces. We show how this bilocal
field can be decomposed into an infinite number of even spin fields in one more
dimension. The collective field has a nontrivial classical solution which leads
to a O(N) thermodynamic entropy characteristic of the lower dimensional theory,
as required by general considerations of holography. A subtle cancellation of
the entropy coming from the bulk fields in one higher dimension with O(1)
contributions from the classical solution ensures that the subleading terms in
thermodynamic quantities are of the expected form. While the spin components of
the collective field transform properly under dilatational, translational and
rotational isometries of $AdS$, special conformal transformations mix fields of
different spins indicating a need for a nonlocal map between the two sets of
fields. We discuss the nature of the propagating degrees of freedom through a
hamiltonian form of collective field theory and argue that nonsinglet states
which are present in an euclidean version are related to nontrivial
backgrounds.
|
[
{
"created": "Wed, 9 Apr 2003 22:17:39 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Apr 2003 18:57:09 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Das",
"Sumit R.",
""
],
[
"Jevicki",
"Antal",
""
]
] |
We propose that the euclidean bilocal collective field theory of critical large-N vector models provides a complete definition of the proposed dual theory of higher spin fields in anti de-Sitter spaces. We show how this bilocal field can be decomposed into an infinite number of even spin fields in one more dimension. The collective field has a nontrivial classical solution which leads to a O(N) thermodynamic entropy characteristic of the lower dimensional theory, as required by general considerations of holography. A subtle cancellation of the entropy coming from the bulk fields in one higher dimension with O(1) contributions from the classical solution ensures that the subleading terms in thermodynamic quantities are of the expected form. While the spin components of the collective field transform properly under dilatational, translational and rotational isometries of $AdS$, special conformal transformations mix fields of different spins indicating a need for a nonlocal map between the two sets of fields. We discuss the nature of the propagating degrees of freedom through a hamiltonian form of collective field theory and argue that nonsinglet states which are present in an euclidean version are related to nontrivial backgrounds.
| 13.922602
| 14.113367
| 15.841976
| 13.49087
| 14.725103
| 13.322428
| 14.06988
| 15.051018
| 13.790236
| 16.695099
| 14.694027
| 14.108159
| 14.018816
| 13.951527
| 14.449951
| 14.267722
| 14.217473
| 14.198817
| 14.16434
| 14.557295
| 13.956068
|
hep-th/9403030
|
Daniel R. D. Scott
|
D.R.D. Scott
|
Classical Functional Bethe Ansatz for $SL(N)$: separation of variables
for the magnetic chain
|
14pp LaTex,DAMTP 94-17
|
J.Math.Phys. 35 (1994) 5831-5843
|
10.1063/1.530712
| null |
hep-th
| null |
The Functional Bethe Ansatz (FBA) proposed by Sklyanin is a method which
gives separation variables for systems for which an $R$-matrix is known.
Previously the FBA was only known for $SL(2)$ and $SL(3)$ (and associated)
$R$-matrices. In this paper I advance Sklyanin's program by giving the FBA for
certain systems with $SL(N)$ $R$-matrices. This is achieved by constructing
rational functions $\A(u)$ and $\B(u)$ of the matrix elements of $T(u)$, so
that, in the generic case, the zeros $x_i$ of $\B(u)$ are the separation
coordinates and the $P_i=\A(x_i)$ provide their conjugate momenta. The method
is illustrated with the magnetic chain and the Gaudin model, and its wider
applicability is discussed.
|
[
{
"created": "Fri, 4 Mar 1994 14:10:36 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Scott",
"D. R. D.",
""
]
] |
The Functional Bethe Ansatz (FBA) proposed by Sklyanin is a method which gives separation variables for systems for which an $R$-matrix is known. Previously the FBA was only known for $SL(2)$ and $SL(3)$ (and associated) $R$-matrices. In this paper I advance Sklyanin's program by giving the FBA for certain systems with $SL(N)$ $R$-matrices. This is achieved by constructing rational functions $\A(u)$ and $\B(u)$ of the matrix elements of $T(u)$, so that, in the generic case, the zeros $x_i$ of $\B(u)$ are the separation coordinates and the $P_i=\A(x_i)$ provide their conjugate momenta. The method is illustrated with the magnetic chain and the Gaudin model, and its wider applicability is discussed.
| 7.19614
| 7.825173
| 8.743775
| 7.2644
| 7.103715
| 7.009767
| 7.482333
| 7.743834
| 7.287149
| 7.937106
| 7.086933
| 6.869809
| 7.258366
| 6.833903
| 6.780905
| 6.814395
| 6.880728
| 6.963531
| 6.904265
| 7.390831
| 6.719537
|
1809.01224
|
Jos\'e M. Figueroa-O'Farrill
|
Jos\'e Figueroa-O'Farrill and Stefan Prohazka
|
Spatially isotropic homogeneous spacetimes
|
51 pages, 6 figures, 17 tables. Updated references and corrected an
inconsequential error in Section 4.2.5
| null |
10.1007/JHEP01(2019)229
|
EMPG-18-01
|
hep-th math.DG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We classify simply-connected homogeneous ($D+1$)-dimensional spacetimes for
kinematical and aristotelian Lie groups with $D$-dimensional space isotropy for
all $D\geq 0$. Besides well-known spacetimes like Minkowski and (anti) de
Sitter we find several new classes of geometries, some of which exist only for
$D=1,2$. These geometries share the same amount of symmetry (spatial rotations,
boosts and spatio-temporal translations) as the maximally symmetric spacetimes,
but unlike them they do not necessarily admit an invariant metric. We determine
the possible limits between the spacetimes and interpret them in terms of
contractions of the corresponding transitive Lie algebras. We investigate
geometrical properties of the spacetimes such as whether they are reductive or
symmetric as well as the existence of invariant structures (riemannian,
lorentzian, galilean, carrollian, aristotelian) and, when appropriate, discuss
the torsion and curvature of the canonical invariant connection as a means of
characterising the different spacetimes.
|
[
{
"created": "Tue, 4 Sep 2018 19:57:31 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Jan 2019 21:49:05 GMT",
"version": "v2"
},
{
"created": "Wed, 8 May 2019 16:03:53 GMT",
"version": "v3"
},
{
"created": "Sun, 17 Oct 2021 18:58:54 GMT",
"version": "v4"
}
] |
2021-10-19
|
[
[
"Figueroa-O'Farrill",
"José",
""
],
[
"Prohazka",
"Stefan",
""
]
] |
We classify simply-connected homogeneous ($D+1$)-dimensional spacetimes for kinematical and aristotelian Lie groups with $D$-dimensional space isotropy for all $D\geq 0$. Besides well-known spacetimes like Minkowski and (anti) de Sitter we find several new classes of geometries, some of which exist only for $D=1,2$. These geometries share the same amount of symmetry (spatial rotations, boosts and spatio-temporal translations) as the maximally symmetric spacetimes, but unlike them they do not necessarily admit an invariant metric. We determine the possible limits between the spacetimes and interpret them in terms of contractions of the corresponding transitive Lie algebras. We investigate geometrical properties of the spacetimes such as whether they are reductive or symmetric as well as the existence of invariant structures (riemannian, lorentzian, galilean, carrollian, aristotelian) and, when appropriate, discuss the torsion and curvature of the canonical invariant connection as a means of characterising the different spacetimes.
| 8.074324
| 7.34504
| 8.539084
| 7.567057
| 7.871209
| 7.469665
| 7.681047
| 7.686895
| 7.361147
| 9.424263
| 7.28457
| 7.683319
| 8.014955
| 7.69086
| 7.537045
| 7.808114
| 7.820663
| 7.729058
| 7.678297
| 8.132648
| 7.492415
|
hep-th/0508022
|
Chang-Young Ee
|
Yong-Wan Kim, Ee Chang-Young, Seung-Kook Kim, Young-Jai Park
|
Improved BFT embedding having chain-structure
|
15 pages, LaTeX file
|
Phys.Lett. B632 (2006) 427-432
|
10.1016/j.physletb.2005.10.028
|
SOGANG-HEP 315/05
|
hep-th
| null |
We newly revisit the gauge non-invariant chiral Schwinger model with a=1 in
view of the chain structure. As a result, we show that the Dirac brackets can
be easily read off from the exact symplectic algebra of second-class
constraints. Furthermore, by using an improved BFT embedding preserving the
chain structure, we obtain the desired gauge invariant action including a new
type of Wess-Zumino term.
|
[
{
"created": "Wed, 3 Aug 2005 08:01:09 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Sep 2005 05:33:31 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Kim",
"Yong-Wan",
""
],
[
"Chang-Young",
"Ee",
""
],
[
"Kim",
"Seung-Kook",
""
],
[
"Park",
"Young-Jai",
""
]
] |
We newly revisit the gauge non-invariant chiral Schwinger model with a=1 in view of the chain structure. As a result, we show that the Dirac brackets can be easily read off from the exact symplectic algebra of second-class constraints. Furthermore, by using an improved BFT embedding preserving the chain structure, we obtain the desired gauge invariant action including a new type of Wess-Zumino term.
| 16.064024
| 13.351338
| 20.191298
| 14.130499
| 12.683734
| 13.158941
| 12.925443
| 13.422644
| 12.843825
| 20.259037
| 13.678183
| 14.106256
| 15.871887
| 14.842947
| 13.797328
| 13.978725
| 13.421912
| 14.225607
| 14.964199
| 16.374697
| 14.547231
|
hep-th/0301227
|
Stefano Bellucci
|
Stefano Bellucci
|
Constant magnetic field and 2d non-commutative inverted oscillator
|
7 pages, LaTeX file, no figures, PACS number: 03.65.-w
|
Phys.Rev. D67 (2003) 105014
|
10.1103/PhysRevD.67.105014
| null |
hep-th
| null |
We consider a two-dimensional non-commutative inverted oscillator in the
presence of a constant magnetic field, coupled to the system in a
``symplectic'' and ``Poisson'' way. We show that it has a discrete energy
spectrum for some value of the magnetic field.
|
[
{
"created": "Tue, 28 Jan 2003 11:04:19 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Bellucci",
"Stefano",
""
]
] |
We consider a two-dimensional non-commutative inverted oscillator in the presence of a constant magnetic field, coupled to the system in a ``symplectic'' and ``Poisson'' way. We show that it has a discrete energy spectrum for some value of the magnetic field.
| 10.221603
| 7.571101
| 9.746185
| 8.2394
| 7.668553
| 7.814071
| 8.480974
| 7.579263
| 7.067471
| 10.708573
| 7.755071
| 8.875638
| 10.081704
| 8.867734
| 8.668472
| 8.904972
| 8.584996
| 8.516799
| 9.007896
| 9.604409
| 8.618182
|
1612.06385
|
Daliang Li
|
A. Liam Fitzpatrick, Jared Kaplan, Daliang Li, and Junpu Wang
|
Exact Virasoro Blocks from Wilson Lines and Background-Independent
Operators
|
V3- Added some references V2- Significantly Expanded Appendix on
Regulation; 32+21 pages
| null |
10.1007/JHEP07(2017)092
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Aspects of black hole thermodynamics and information loss can be derived as a
consequence of Virasoro symmetry. To bolster the connection between Virasoro
conformal blocks and AdS$_3$ quantum gravity, we study sl$(2)$ Chern-Simons
Wilson line networks and revisit the idea that they compute a variety of
CFT$_2$ observables, including Virasoro OPE blocks, exactly. We verify this in
the semiclassical large central charge limit and to low orders in a
perturbative $1/c$ expansion.
Wilson lines connecting the boundary to points in the bulk play a natural
role in bulk reconstruction. Because quantum gravity in AdS$_3$ is rigidly
fixed by Virasoro symmetry, we argue that sl$(2)$ Wilson lines provide building
blocks for background independent bulk reconstruction. In particular, we show
explicitly that they automatically compute the uniformizing coordinates
appropriate to any background state.
|
[
{
"created": "Mon, 19 Dec 2016 21:00:01 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Apr 2017 15:28:44 GMT",
"version": "v2"
},
{
"created": "Tue, 5 Sep 2017 19:52:16 GMT",
"version": "v3"
}
] |
2017-09-13
|
[
[
"Fitzpatrick",
"A. Liam",
""
],
[
"Kaplan",
"Jared",
""
],
[
"Li",
"Daliang",
""
],
[
"Wang",
"Junpu",
""
]
] |
Aspects of black hole thermodynamics and information loss can be derived as a consequence of Virasoro symmetry. To bolster the connection between Virasoro conformal blocks and AdS$_3$ quantum gravity, we study sl$(2)$ Chern-Simons Wilson line networks and revisit the idea that they compute a variety of CFT$_2$ observables, including Virasoro OPE blocks, exactly. We verify this in the semiclassical large central charge limit and to low orders in a perturbative $1/c$ expansion. Wilson lines connecting the boundary to points in the bulk play a natural role in bulk reconstruction. Because quantum gravity in AdS$_3$ is rigidly fixed by Virasoro symmetry, we argue that sl$(2)$ Wilson lines provide building blocks for background independent bulk reconstruction. In particular, we show explicitly that they automatically compute the uniformizing coordinates appropriate to any background state.
| 10.419744
| 10.267213
| 11.960027
| 9.580064
| 10.3981
| 10.435883
| 10.130289
| 9.923259
| 10.363581
| 11.554271
| 9.62053
| 9.905025
| 10.473361
| 10.015082
| 9.965456
| 9.763968
| 9.821708
| 9.889663
| 9.759202
| 10.730145
| 9.934472
|
1507.02477
|
Javier Magan
|
Javier M. Magan
|
Fast Scramblers, Democratic Walks and Information Fields
|
43 pages, 1 figure
| null | null | null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study a family of weighted random walks on complete graphs. These
`democratic walks' turn out to be explicitly solvable, and we find the
hierarchy window for which the characteristic time scale saturates the
so-called fast scrambling conjecture. We show that these democratic walks
describe well the properties of information spreading in systems in which every
degree of freedom interacts with every other degree of freedom, such as Matrix
or infinite range models. The argument is based on the analysis of suitably
defined `Information fields' ($\mathcal{I}$), which are shown to evolve
stochastically towards stationarity due to unitarity of the microscopic model.
The model implies that in democratic systems, stabilization of one subsystem is
equivalent to global scrambling. We use these results to study scrambling of
infalling perturbations in black hole backgrounds, and argue that the near
horizon running coupling constants are connected to entanglement evolution of
single particle perturbations in democratic systems.
|
[
{
"created": "Thu, 9 Jul 2015 12:18:52 GMT",
"version": "v1"
}
] |
2015-07-10
|
[
[
"Magan",
"Javier M.",
""
]
] |
We study a family of weighted random walks on complete graphs. These `democratic walks' turn out to be explicitly solvable, and we find the hierarchy window for which the characteristic time scale saturates the so-called fast scrambling conjecture. We show that these democratic walks describe well the properties of information spreading in systems in which every degree of freedom interacts with every other degree of freedom, such as Matrix or infinite range models. The argument is based on the analysis of suitably defined `Information fields' ($\mathcal{I}$), which are shown to evolve stochastically towards stationarity due to unitarity of the microscopic model. The model implies that in democratic systems, stabilization of one subsystem is equivalent to global scrambling. We use these results to study scrambling of infalling perturbations in black hole backgrounds, and argue that the near horizon running coupling constants are connected to entanglement evolution of single particle perturbations in democratic systems.
| 20.340805
| 23.62315
| 21.872824
| 19.249962
| 20.712753
| 24.528187
| 21.535036
| 21.185326
| 19.105272
| 24.251423
| 19.149708
| 19.723454
| 18.813709
| 18.326723
| 18.487295
| 18.785723
| 19.479883
| 19.183451
| 18.356249
| 18.736172
| 18.439331
|
2207.14557
|
Joachim Herrmann
|
Joachim Herrmann
|
Towards a unified theory of the fundamental physical interactions based
on the underlying geometric structure of the tangent bundle
|
23 pages, no figures
|
Eur. Phys. J C 82, 947 (2022)
|
10.1140/epjc/s10052-022-10781-4
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper pursues the hypothesis that the tangent bundle (TB) with the
central extended little groups of the SO(3,1) group as gauge group is the
underlying geometric structure for a unified theory of the fundamental physical
interactions. Based on this hypothesis as a first step recently I presented a
generalized theory of electroweak interaction which includes hypothetical dark
matter particles (Eur. Phys. J C 79, 779 (2019). The vertical Laplacian of the
tangent bundle possesses the same form as the Hamiltonian of a 2D semiconductor
quantum Hall system. This explains fractional charge quantization of quarks and
the existence of lepton and quark families. As will be shown the SU(3) colour
symmetry for strong interaction arises in the TB as an emergent symmetry
similar as Chern-Simon gauge symmetries in quantum Hall systems. This predicts
a signature of quark confinement as an universal large-scale property of the
Chern-Simon fields and induces a new understanding of the vacuum as the ground
state occupied with a condensate of quark-antiquark pairs. The gap for
quark-antiquark pairing is calculated in the mean-field approximation which
allows a numerical estimation of the characteristic parameters of the vacuum
such as its chemical potential, the quark condensation parameter and the vacuum
energy. Note that previously a gauge theoretical understanding of gravity has
been achieved by considering the translation group T(3,1) in the TB as gauge
group. Therefore the theory presented here can be considered as a new type of
unified theory for all known fundamental interactions linked with the
geometrization program of physics.
|
[
{
"created": "Fri, 29 Jul 2022 09:11:57 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Feb 2023 13:15:32 GMT",
"version": "v2"
}
] |
2023-02-27
|
[
[
"Herrmann",
"Joachim",
""
]
] |
This paper pursues the hypothesis that the tangent bundle (TB) with the central extended little groups of the SO(3,1) group as gauge group is the underlying geometric structure for a unified theory of the fundamental physical interactions. Based on this hypothesis as a first step recently I presented a generalized theory of electroweak interaction which includes hypothetical dark matter particles (Eur. Phys. J C 79, 779 (2019). The vertical Laplacian of the tangent bundle possesses the same form as the Hamiltonian of a 2D semiconductor quantum Hall system. This explains fractional charge quantization of quarks and the existence of lepton and quark families. As will be shown the SU(3) colour symmetry for strong interaction arises in the TB as an emergent symmetry similar as Chern-Simon gauge symmetries in quantum Hall systems. This predicts a signature of quark confinement as an universal large-scale property of the Chern-Simon fields and induces a new understanding of the vacuum as the ground state occupied with a condensate of quark-antiquark pairs. The gap for quark-antiquark pairing is calculated in the mean-field approximation which allows a numerical estimation of the characteristic parameters of the vacuum such as its chemical potential, the quark condensation parameter and the vacuum energy. Note that previously a gauge theoretical understanding of gravity has been achieved by considering the translation group T(3,1) in the TB as gauge group. Therefore the theory presented here can be considered as a new type of unified theory for all known fundamental interactions linked with the geometrization program of physics.
| 11.627287
| 13.033895
| 12.245957
| 11.973613
| 12.683097
| 13.065014
| 13.668327
| 12.77637
| 12.143262
| 12.785607
| 11.785487
| 11.697902
| 11.476394
| 11.505592
| 11.359076
| 11.753712
| 11.609317
| 11.496648
| 11.664961
| 11.948302
| 11.476021
|
hep-th/0404210
|
Pierre van Baal
|
Falk Bruckmann, Daniel Nogradi, Pierre van Baal
|
Higher charge calorons with non-trivial holonomy
|
25 pages, 4 figures in 15 parts; small corrections - version to be
published
|
Nucl.Phys. B698 (2004) 233-254
|
10.1016/j.nuclphysb.2004.07.038
| null |
hep-th hep-lat
| null |
The full ADHM-Nahm formalism is employed to find exact higher charge caloron
solutions with non-trivial holonomy, extended beyond the axially symmetric
solutions found earlier. Particularly interesting is the case where the
constituent monopoles, that make up these solutions, are not necessarily
well-separated. This is worked out in detail for charge 2. We resolve the
structure of the extended core, which was previously localized only through the
singularity structure of the zero-mode density in the far field limit. We also
show that this singularity structure agrees exactly with the abelian charge
distribution as seen through the abelian component of the gauge field. As a
by-product zero-mode densities for charge 2 magnetic monopoles are found.
|
[
{
"created": "Tue, 27 Apr 2004 13:07:36 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Sep 2004 19:25:40 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Bruckmann",
"Falk",
""
],
[
"Nogradi",
"Daniel",
""
],
[
"van Baal",
"Pierre",
""
]
] |
The full ADHM-Nahm formalism is employed to find exact higher charge caloron solutions with non-trivial holonomy, extended beyond the axially symmetric solutions found earlier. Particularly interesting is the case where the constituent monopoles, that make up these solutions, are not necessarily well-separated. This is worked out in detail for charge 2. We resolve the structure of the extended core, which was previously localized only through the singularity structure of the zero-mode density in the far field limit. We also show that this singularity structure agrees exactly with the abelian charge distribution as seen through the abelian component of the gauge field. As a by-product zero-mode densities for charge 2 magnetic monopoles are found.
| 14.987075
| 13.718998
| 15.243771
| 12.921114
| 14.752573
| 14.252398
| 14.462383
| 13.730706
| 13.502263
| 15.24702
| 14.324022
| 13.566921
| 13.931294
| 13.976585
| 14.124337
| 13.721981
| 13.374638
| 13.905735
| 13.81905
| 14.060513
| 13.816169
|
hep-th/9804193
|
Gleb E. Arutyunov
|
Yu. M. Zinoviev
|
On Wilson Criterion
|
latex, 6 pages
| null |
10.1007/BF02557195
| null |
hep-th
| null |
U(1) gauge theory with the Villain action on a cubic lattice approximation of
three- and four-dimensional torus is considered. The naturally chosen
correlation functions converge to the correlation functions of the R-gauge
electrodynamics on three- and four-dimensional torus as the lattice spacing
approaches zero only for the special scaling. This special scaling depends on a
choice of a correlation function system. Another scalings give the degenerate
continuum limits. The Wilson criterion for the confinement is ambiguous. The
asymptotics of the smeared Wilson loop integral for the large loop perimeters
is defined by the density of the loop smearing over a torus which is
transversal to the loop plane. When the initial torus radius tends to infinity
the correlation functions converge to the correlation functions of the R-gauge
Euclidean electrodynamics.
|
[
{
"created": "Wed, 29 Apr 1998 09:17:54 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Zinoviev",
"Yu. M.",
""
]
] |
U(1) gauge theory with the Villain action on a cubic lattice approximation of three- and four-dimensional torus is considered. The naturally chosen correlation functions converge to the correlation functions of the R-gauge electrodynamics on three- and four-dimensional torus as the lattice spacing approaches zero only for the special scaling. This special scaling depends on a choice of a correlation function system. Another scalings give the degenerate continuum limits. The Wilson criterion for the confinement is ambiguous. The asymptotics of the smeared Wilson loop integral for the large loop perimeters is defined by the density of the loop smearing over a torus which is transversal to the loop plane. When the initial torus radius tends to infinity the correlation functions converge to the correlation functions of the R-gauge Euclidean electrodynamics.
| 14.003059
| 15.428318
| 15.271184
| 14.316415
| 15.594033
| 16.353796
| 16.414856
| 15.636741
| 14.855384
| 16.968479
| 14.746222
| 13.477178
| 14.337159
| 13.342213
| 13.456674
| 13.879416
| 13.543694
| 13.40601
| 13.66778
| 13.917324
| 14.023209
|
hep-th/9607150
|
Akira Niegawa
|
A. Ni\'egawa
|
Screening of mass singularities and finite soft-photon production rate
in hot QCD
|
41pages, Figures are not included
|
Phys.Rev.D56:1073-1090,1997
|
10.1103/PhysRevD.56.1073
|
OCU-PHYS 160
|
hep-th
| null |
The production rate of a soft photon from a hot quark-gluon plasma is
computed to leading order at logarithmic accuracy. The canonical
hard-thermal-loop resummation scheme leads to logarithmically divergent
production rate due to mass singularities. We show that these mass
singularities are screened by employing the effective hard-quark propagator,
which is obtained through resummation of one-loop self-energy part in a
self-consistent manner. The damping-rate part of the effective hard-quark
propagator, rather than the thermal-mass part, plays the dominant role of
screening mass singularities. Diagrams including photon--(hard-)quark vertex
corrections also yield leading contribution to the production rate.
|
[
{
"created": "Thu, 18 Jul 1996 03:25:04 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Feb 1997 01:17:50 GMT",
"version": "v2"
}
] |
2016-08-15
|
[
[
"Niégawa",
"A.",
""
]
] |
The production rate of a soft photon from a hot quark-gluon plasma is computed to leading order at logarithmic accuracy. The canonical hard-thermal-loop resummation scheme leads to logarithmically divergent production rate due to mass singularities. We show that these mass singularities are screened by employing the effective hard-quark propagator, which is obtained through resummation of one-loop self-energy part in a self-consistent manner. The damping-rate part of the effective hard-quark propagator, rather than the thermal-mass part, plays the dominant role of screening mass singularities. Diagrams including photon--(hard-)quark vertex corrections also yield leading contribution to the production rate.
| 9.792604
| 9.714097
| 8.908561
| 8.326307
| 10.028795
| 9.964417
| 10.050352
| 9.862881
| 8.449507
| 9.745537
| 9.783073
| 9.797429
| 9.284833
| 8.928333
| 9.113053
| 9.457992
| 9.392872
| 9.557221
| 8.97872
| 9.129665
| 8.959142
|
hep-th/0209083
| null |
H.Culetu (Ovidius University)
|
On the gravitational energy of the Hawking wormhole
|
9 pages, chapter 4 removed, to appear in Int. Jour. Mod. Phys. A
|
Int.J.Mod.Phys. A18 (2003) 4251-4256
|
10.1142/S0217751X03016124
| null |
hep-th
| null |
The surface energy for a conformally flat spacetime which represents the
Hawking wormhole in spherical (static) Rindler coordinates is computed using
the Hawking - Hunter formalism for non asymptotically - flat spacetimes.
The physical gravitational Hamiltonian is proportional to the Rindler
acceleration g of the hyperbolic observer and is finite on the event horizon
ksi = b (b-the Planck length, ksi - the Minkowski interval). The corresponding
temperature of the system of particles associated to the massless scalar field
Psi, coupled conformally to Einstein's equations, is given by the Davies -
Unruh temperature up to a constant factor of order unity.
|
[
{
"created": "Tue, 10 Sep 2002 11:25:16 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Sep 2002 14:24:53 GMT",
"version": "v2"
},
{
"created": "Fri, 4 Jul 2003 11:21:55 GMT",
"version": "v3"
}
] |
2016-09-06
|
[
[
"Culetu",
"H.",
"",
"Ovidius University"
]
] |
The surface energy for a conformally flat spacetime which represents the Hawking wormhole in spherical (static) Rindler coordinates is computed using the Hawking - Hunter formalism for non asymptotically - flat spacetimes. The physical gravitational Hamiltonian is proportional to the Rindler acceleration g of the hyperbolic observer and is finite on the event horizon ksi = b (b-the Planck length, ksi - the Minkowski interval). The corresponding temperature of the system of particles associated to the massless scalar field Psi, coupled conformally to Einstein's equations, is given by the Davies - Unruh temperature up to a constant factor of order unity.
| 20.129065
| 23.311605
| 18.976154
| 18.108969
| 21.435352
| 20.526144
| 23.40925
| 17.909822
| 21.367949
| 18.292944
| 19.001282
| 19.599373
| 17.983265
| 18.020273
| 18.44492
| 18.370356
| 18.558435
| 16.516411
| 17.812241
| 17.850204
| 18.266863
|
2203.08087
|
Yvonne Geyer
|
Giulia Albonico, Yvonne Geyer, Lionel Mason
|
From Twistor-Particle Models to Massive Amplitudes
| null |
SIGMA 18 (2022), 045, 21 pages
|
10.3842/SIGMA.2022.045
| null |
hep-th gr-qc hep-ph
|
http://creativecommons.org/licenses/by-sa/4.0/
|
In his twistor-particle programme of the 1970's, Roger Penrose introduced a
representation of the massive particle phase space in terms of a pair of
twistors subject to an internal symmetry group. Here we use this representation
to introduce a chiral string whose target is a complexification of this space,
extended so as to incorporate supersymmetry. We show that the gauge anomalies
associated to the internal symmetry group vanish only for maximal
supersymmetry, and that correlators in these string models describe amplitudes
involving massive particles with manifest supersymmetry. The models and
amplitude formulae exhibit a double copy structure from gauge theory on the
Coulomb branch to gravity, although the graviton remains massless. The formulae
are closely related to those obtained earlier by the authors expressed in terms
of the polarised scattering equations.
|
[
{
"created": "Tue, 15 Mar 2022 17:15:38 GMT",
"version": "v1"
},
{
"created": "Sun, 19 Jun 2022 06:31:41 GMT",
"version": "v2"
}
] |
2022-06-22
|
[
[
"Albonico",
"Giulia",
""
],
[
"Geyer",
"Yvonne",
""
],
[
"Mason",
"Lionel",
""
]
] |
In his twistor-particle programme of the 1970's, Roger Penrose introduced a representation of the massive particle phase space in terms of a pair of twistors subject to an internal symmetry group. Here we use this representation to introduce a chiral string whose target is a complexification of this space, extended so as to incorporate supersymmetry. We show that the gauge anomalies associated to the internal symmetry group vanish only for maximal supersymmetry, and that correlators in these string models describe amplitudes involving massive particles with manifest supersymmetry. The models and amplitude formulae exhibit a double copy structure from gauge theory on the Coulomb branch to gravity, although the graviton remains massless. The formulae are closely related to those obtained earlier by the authors expressed in terms of the polarised scattering equations.
| 13.863645
| 13.64848
| 14.284267
| 12.63888
| 14.721803
| 13.170467
| 13.616446
| 12.785305
| 13.421371
| 16.276264
| 13.014097
| 12.804627
| 13.353707
| 13.065799
| 13.190834
| 13.017991
| 13.056007
| 12.952257
| 12.978208
| 13.235195
| 13.125906
|
hep-th/0102074
|
Harold Steinacker
|
Harold Steinacker
|
Aspects of the q-deformed Fuzzy Sphere
|
5 pages. Talk presented at the Euroconference ``Brane New World and
Noncommutative Geometry'' in Villa Gualino, Torino, Italy, October 2 - 7,
2000
|
Mod.Phys.Lett. A16 (2001) 361-366
|
10.1142/S0217732301003462
| null |
hep-th math.QA
| null |
These notes are a short review of the q-deformed fuzzy sphere S^2_{q,N},
which is a ``finite'' noncommutative 2-sphere covariant under the quantum group
U_q(su(2)). We discuss its real structure, differential calculus and
integration for both real q and q a phase, and show how actions for Yang-Mills
and Chern- Simons-like gauge theories arise naturally. It is related to
D-branes on the SU(2)_k WZW model for q = exp(\frac{i \pi}{k+2}).
|
[
{
"created": "Wed, 14 Feb 2001 12:30:04 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Steinacker",
"Harold",
""
]
] |
These notes are a short review of the q-deformed fuzzy sphere S^2_{q,N}, which is a ``finite'' noncommutative 2-sphere covariant under the quantum group U_q(su(2)). We discuss its real structure, differential calculus and integration for both real q and q a phase, and show how actions for Yang-Mills and Chern- Simons-like gauge theories arise naturally. It is related to D-branes on the SU(2)_k WZW model for q = exp(\frac{i \pi}{k+2}).
| 10.092173
| 8.466397
| 11.580532
| 7.952851
| 9.051685
| 8.783692
| 10.162094
| 7.603655
| 8.526501
| 12.781735
| 8.381032
| 8.63975
| 9.043978
| 8.276547
| 8.694086
| 8.658601
| 8.639173
| 8.435816
| 7.96525
| 9.707881
| 7.988339
|
hep-th/9503129
|
Andreas Wisskirchen
|
Ralph Blumenhagen and Andreas Wisskirchen
|
A Note On ADE String Compactifications
|
11 pages, plain TeX, no postscript figures
|
Phys.Lett. B355 (1995) 99-106
|
10.1016/0370-2693(95)00709-T
|
BONN-TH-95-05, IFP-504-UNC
|
hep-th
| null |
We address the question whether so-called m-invariants of the N=2 super
Virasoro algebra can be used for the construction of reasonable
four-dimensional string models. It turns out that an infinite subset of those
are pathological in the sense that - although N=2 supersymmetric - the Ramond
sector is not isomorphic to the Neveu-Schwarz sector. Consequently, these two
properties are independent and only requiring both guarantees an N=1 space-time
supersymmetric string spectrum. However, the remaining 529 consistent spectra -
210 of them are mirrors of Gepner models and 76 real orbifolds - show exact
mirror symmetry and are contained in a recent classification of orbifolds of
Gepner models.
|
[
{
"created": "Tue, 21 Mar 1995 07:37:13 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Blumenhagen",
"Ralph",
""
],
[
"Wisskirchen",
"Andreas",
""
]
] |
We address the question whether so-called m-invariants of the N=2 super Virasoro algebra can be used for the construction of reasonable four-dimensional string models. It turns out that an infinite subset of those are pathological in the sense that - although N=2 supersymmetric - the Ramond sector is not isomorphic to the Neveu-Schwarz sector. Consequently, these two properties are independent and only requiring both guarantees an N=1 space-time supersymmetric string spectrum. However, the remaining 529 consistent spectra - 210 of them are mirrors of Gepner models and 76 real orbifolds - show exact mirror symmetry and are contained in a recent classification of orbifolds of Gepner models.
| 16.334433
| 18.586872
| 21.144442
| 15.820001
| 18.189623
| 16.063082
| 16.521141
| 16.898937
| 16.307129
| 18.979952
| 16.19973
| 16.058083
| 16.927822
| 15.375246
| 16.146673
| 14.950069
| 15.890088
| 15.752083
| 16.240005
| 16.013124
| 15.961082
|
1905.00434
|
Jean-Fran\c{c}ois Fortin
|
Jean-Fran\c{c}ois Fortin, Witold Skiba
|
New Methods for Conformal Correlation Functions
|
1+89 pages, 2 figures, extended discussion in Section 4, streamlined
notation in Sections 5 and 6, extra identities in Appendix B, added
references
| null |
10.1007/JHEP06(2020)028
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The most general operator product expansion in conformal field theory is
obtained using the embedding space formalism and a new uplift for general
quasi-primary operators. The uplift introduced here, based on quasi-primary
operators with spinor indices only and standard projection operators, allows a
unified treatment of all quasi-primary operators irrespective of their Lorentz
group irreducible representations. This unified treatment works at the level of
the operator product expansion and hence applies to all correlation functions.
A very useful differential operator appearing in the operator product expansion
is established and its action on appropriate products of embedding space
coordinates is explicitly computed. This computation leads to tensorial
generalizations of the usual Exton function for all correlation functions.
Several important identities and contiguous relations are also demonstrated for
these new tensorial functions. From the operator product expansion all
correlation functions for all quasi-primary operators, irrespective of their
Lorentz group irreducible representations, can be computed recursively in a
systematic way. The resulting answer can be expressed in terms of tensor
structures that carry all the Lorentz group information and linear combinations
of the new tensorial functions. Finally, a summary of the well-defined rules
allowing the computation of all correlation functions constructively is
presented.
|
[
{
"created": "Wed, 1 May 2019 18:00:06 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Aug 2019 02:34:47 GMT",
"version": "v2"
}
] |
2020-07-15
|
[
[
"Fortin",
"Jean-François",
""
],
[
"Skiba",
"Witold",
""
]
] |
The most general operator product expansion in conformal field theory is obtained using the embedding space formalism and a new uplift for general quasi-primary operators. The uplift introduced here, based on quasi-primary operators with spinor indices only and standard projection operators, allows a unified treatment of all quasi-primary operators irrespective of their Lorentz group irreducible representations. This unified treatment works at the level of the operator product expansion and hence applies to all correlation functions. A very useful differential operator appearing in the operator product expansion is established and its action on appropriate products of embedding space coordinates is explicitly computed. This computation leads to tensorial generalizations of the usual Exton function for all correlation functions. Several important identities and contiguous relations are also demonstrated for these new tensorial functions. From the operator product expansion all correlation functions for all quasi-primary operators, irrespective of their Lorentz group irreducible representations, can be computed recursively in a systematic way. The resulting answer can be expressed in terms of tensor structures that carry all the Lorentz group information and linear combinations of the new tensorial functions. Finally, a summary of the well-defined rules allowing the computation of all correlation functions constructively is presented.
| 9.820338
| 10.727654
| 11.856548
| 10.041509
| 10.492489
| 10.487988
| 10.924861
| 10.402263
| 10.132502
| 12.05317
| 9.999445
| 10.146177
| 10.50937
| 10.098159
| 9.759188
| 9.724305
| 9.837766
| 9.885462
| 9.968443
| 10.55952
| 9.493597
|
1906.09053
|
Aybike Ozer
|
Aybike \c{C}atal-\"Ozer and Se\c{c}il Tunal{\i}
|
Yang-Baxter Deformation as an O(d,d) Transformation
|
references added; revised Introduction; minor corrections; some of
the discussions clarified, section 4.3 on generalised supergravity equations
expanded, one reference added
|
Class. Quantum Grav. 37 (2020) 075003
|
10.1088/1361-6382/ab6f7e
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The rules for Yang-Baxter (YB) deformation for a generic Green-Schwarz string
sigma model has been obtained recently. We show that the deformation can be
described through the action of a coordinate dependent $O(d,d)$ matrix on the
target space fields both in the NS-NS and the RR sectors, generalizing previous
results. This enables us to show that the YB deformed fields can be regarded as
duality twisted fields in the context of Gauged Double Field Theory (GDFT). We
compute the fluxes associated with the twist and show that the conditions on
the R-matrix determining the YB deformation give rise to conditions for the
fluxes on the GDFT side. More precisely, we show that YB deformation is a
process which takes a solution of DFT with geometric flux associated with the
isometry group $G$ and deforms it to another solution of DFT with vanishing
R-flux and non-vanishing Q-flux given by the structure constants of the dual
Lie algebra determined by the R-matrix. We also show that the non-unimodularity
of the R-matrix forces the generalized dilaton field to pick up a linear
dependence on the winding type coordinates of DFT, implying that the
corresponding target space fields satisfy the field equations of DFT in the
generalized supergravity frame. This provides a new perspective on the relation
between the non-unimodularity of the R-matrix, the trace of the Q-flux and the
generalized supergravity equations.
|
[
{
"created": "Fri, 21 Jun 2019 10:38:06 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Jul 2019 17:05:06 GMT",
"version": "v2"
},
{
"created": "Wed, 25 Sep 2019 12:31:12 GMT",
"version": "v3"
},
{
"created": "Thu, 27 Feb 2020 08:01:43 GMT",
"version": "v4"
}
] |
2020-02-28
|
[
[
"Çatal-Özer",
"Aybike",
""
],
[
"Tunalı",
"Seçil",
""
]
] |
The rules for Yang-Baxter (YB) deformation for a generic Green-Schwarz string sigma model has been obtained recently. We show that the deformation can be described through the action of a coordinate dependent $O(d,d)$ matrix on the target space fields both in the NS-NS and the RR sectors, generalizing previous results. This enables us to show that the YB deformed fields can be regarded as duality twisted fields in the context of Gauged Double Field Theory (GDFT). We compute the fluxes associated with the twist and show that the conditions on the R-matrix determining the YB deformation give rise to conditions for the fluxes on the GDFT side. More precisely, we show that YB deformation is a process which takes a solution of DFT with geometric flux associated with the isometry group $G$ and deforms it to another solution of DFT with vanishing R-flux and non-vanishing Q-flux given by the structure constants of the dual Lie algebra determined by the R-matrix. We also show that the non-unimodularity of the R-matrix forces the generalized dilaton field to pick up a linear dependence on the winding type coordinates of DFT, implying that the corresponding target space fields satisfy the field equations of DFT in the generalized supergravity frame. This provides a new perspective on the relation between the non-unimodularity of the R-matrix, the trace of the Q-flux and the generalized supergravity equations.
| 7.553072
| 7.241679
| 8.592013
| 6.945851
| 7.525675
| 7.650655
| 7.82297
| 7.593658
| 7.630819
| 9.373378
| 7.188828
| 7.556213
| 7.793482
| 7.336611
| 7.654831
| 7.274196
| 7.63677
| 7.412069
| 7.616822
| 7.838547
| 7.353741
|
hep-th/0005002
|
Makoto Natsuume
|
Masako Asano (Univ. of Tokyo, Hongo) and Makoto Natsuume (KEK)
|
The no-ghost theorem for string theory in curved backgrounds with a flat
timelike direction
|
25 pages, AMS-LaTeX; v2: added discussion on the extension of our
results and on earlier works, minor corrections
|
Nucl.Phys. B588 (2000) 453-470
|
10.1016/S0550-3213(00)00495-8
|
KEK-TH-688, UT-886
|
hep-th
| null |
It is well-known that the standard no-ghost theorem can be extended
straightforwardly to the general c=26 CFT on R^{d-1,1} \times K, where 2 \leq d
\leq 26 and K is a compact unitary CFT of appropriate central charge. We prove
the no-ghost theorem for d=1, i.e., when only the timelike direction is flat.
This is done using the technique of Frenkel, Garland and Zuckerman.
|
[
{
"created": "Sat, 29 Apr 2000 14:52:59 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Jul 2000 10:25:40 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Asano",
"Masako",
"",
"Univ. of Tokyo, Hongo"
],
[
"Natsuume",
"Makoto",
"",
"KEK"
]
] |
It is well-known that the standard no-ghost theorem can be extended straightforwardly to the general c=26 CFT on R^{d-1,1} \times K, where 2 \leq d \leq 26 and K is a compact unitary CFT of appropriate central charge. We prove the no-ghost theorem for d=1, i.e., when only the timelike direction is flat. This is done using the technique of Frenkel, Garland and Zuckerman.
| 7.792848
| 6.936299
| 9.336473
| 6.429266
| 6.56706
| 6.047178
| 6.592953
| 6.768777
| 6.658962
| 9.293463
| 6.244311
| 6.8922
| 7.59203
| 6.531168
| 6.617033
| 6.422709
| 6.711872
| 7.145508
| 6.667021
| 7.317123
| 6.660292
|
1807.07763
|
Bruno Bertrand Dr
|
Bruno Bertrand and Jan Govaerts
|
Mass Generation in Abelian U(1) Gauge Theories: A Rich Network of
Dualities
|
11 pages, 2 figures
| null |
10.1063/1.5109628
|
CP3-18-40
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Following a novel approach, all known basic mass generation mechanisms
consistent with an exact abelian U(1) gauge symmetry are shown to be related
through an intricate network of dualities whatever the spacetime dimension.
This equivalence which applies in the absence of any supersymmetry, is however
restricted by the presence of topological terms generating possible topological
effects. In particular in 3+1 dimensions the duality relations between the
Maxwell-Higgs model, the Stueckelberg and the topological mass generation
mechanisms are then established following a careful treatment of the gauge
symmetry content. This result offers a new framework for an effective
description of superconductivity or topological defects built from fields
beyond the SM.
|
[
{
"created": "Fri, 20 Jul 2018 10:10:09 GMT",
"version": "v1"
}
] |
2020-01-08
|
[
[
"Bertrand",
"Bruno",
""
],
[
"Govaerts",
"Jan",
""
]
] |
Following a novel approach, all known basic mass generation mechanisms consistent with an exact abelian U(1) gauge symmetry are shown to be related through an intricate network of dualities whatever the spacetime dimension. This equivalence which applies in the absence of any supersymmetry, is however restricted by the presence of topological terms generating possible topological effects. In particular in 3+1 dimensions the duality relations between the Maxwell-Higgs model, the Stueckelberg and the topological mass generation mechanisms are then established following a careful treatment of the gauge symmetry content. This result offers a new framework for an effective description of superconductivity or topological defects built from fields beyond the SM.
| 16.442291
| 16.498692
| 17.409691
| 15.848032
| 16.78293
| 17.207684
| 15.806361
| 16.082458
| 15.149409
| 17.618465
| 15.060432
| 15.741577
| 15.639168
| 15.072214
| 15.756669
| 15.429359
| 14.782732
| 15.265178
| 15.088494
| 15.690008
| 15.107313
|
hep-th/0603225
|
Juan Mateos Guilarte
|
M.A. Gonzalez Leon, J. Mateos Guilarte and M. de la Torre Mayado
|
From N=2 supersymmetric classical to quantum mechanics and back: the
SUSY WKB approximation
|
LaTex File, 19 Pages, 10 Figures, 3 Tables. Based on a talk given by
J. M. G. in the Workshop "Groups, Geometry and Physics", Zaragoza, Spain,
December 2005
| null | null | null |
hep-th
| null |
Links between supersymmetric classical and quantum mechanics are explored.
Diagrammatic representations for \hbar-expansions of norms of ground states are
provided. The WKB spectra of supersymmetric non harmonic oscillators are found.
|
[
{
"created": "Wed, 29 Mar 2006 09:23:07 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Leon",
"M. A. Gonzalez",
""
],
[
"Guilarte",
"J. Mateos",
""
],
[
"Mayado",
"M. de la Torre",
""
]
] |
Links between supersymmetric classical and quantum mechanics are explored. Diagrammatic representations for \hbar-expansions of norms of ground states are provided. The WKB spectra of supersymmetric non harmonic oscillators are found.
| 29.213646
| 24.172796
| 28.505924
| 22.101473
| 24.863102
| 24.476427
| 21.848156
| 25.63603
| 22.664703
| 26.576685
| 20.763367
| 19.92247
| 23.639669
| 20.427206
| 19.270138
| 20.244249
| 19.903915
| 20.05094
| 20.651855
| 22.852457
| 20.636612
|
hep-th/0009104
|
Joel Giedt
|
Joel Giedt
|
Completion of standard-like embeddings
|
21 pages; 10 tables; further reduction to set of 175 embeddings;
equivalence of some observable sector embeddings demonstrated
|
Ann.Phys.289:251,2001
|
10.1006/aphy.2001.6139
|
LBNL-46839; UCB-PTH-00/28
|
hep-th hep-ph math-ph math.MP
| null |
Inequivalent standard-like observable sector embeddings in $Z_3$ orbifolds
with two discrete Wilson lines, as determined by Casas, Mondragon and Mu\~noz,
are completed by examining all possible ways of embedding the hidden sector.
The hidden sector embeddings are relevant to twisted matter in nontrivial
representations of the Standard Model and to scenarios where supersymmetry
breaking is generated in a hidden sector. We find a set of 175 models which
have a hidden sector gauge group which is viable for dynamical supersymmetry
breaking. Only four different hidden sector gauge groups are possible in these
models.
|
[
{
"created": "Thu, 14 Sep 2000 01:26:34 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Nov 2000 21:42:29 GMT",
"version": "v2"
},
{
"created": "Wed, 3 Jan 2001 22:08:08 GMT",
"version": "v3"
}
] |
2014-11-18
|
[
[
"Giedt",
"Joel",
""
]
] |
Inequivalent standard-like observable sector embeddings in $Z_3$ orbifolds with two discrete Wilson lines, as determined by Casas, Mondragon and Mu\~noz, are completed by examining all possible ways of embedding the hidden sector. The hidden sector embeddings are relevant to twisted matter in nontrivial representations of the Standard Model and to scenarios where supersymmetry breaking is generated in a hidden sector. We find a set of 175 models which have a hidden sector gauge group which is viable for dynamical supersymmetry breaking. Only four different hidden sector gauge groups are possible in these models.
| 14.659046
| 17.026041
| 15.850035
| 14.538471
| 16.049112
| 15.851581
| 15.5603
| 15.693065
| 14.087519
| 16.242371
| 14.623615
| 13.788602
| 13.802392
| 13.307889
| 14.631619
| 14.057075
| 13.554739
| 13.661522
| 13.805325
| 14.401322
| 13.933642
|
0905.1445
|
Shotaro Shiba
|
Takayuki Kobo, Yutaka Matsuo, Shotaro Shiba
|
Aspects of U-duality in BLG models with Lorentzian metric 3-algebras
|
27 pages, v2: minor corrections
|
JHEP 0906:053,2009
|
10.1088/1126-6708/2009/06/053
|
UT-09-11
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In our previous paper, it was shown that BLG model based on a Lorentzian
metric 3-algebra gives Dp-brane action whose worldvolume is compactified on
torus T^d (d=p-2). Here the 3-algebra was a generalized one with d+1 pairs of
Lorentzian metric generators and expressed in terms of a loop algebra with
central extensions. In this paper, we derive the precise relation between the
coupling constant of the super Yang-Mills, the moduli of T^d and some R-R flux
with VEV's of ghost fields associated with Lorentzian metric generators. In
particular, for d=1, we derive the Yang-Mills action with theta term and show
that SL(2,Z) Montonen-Olive duality is realized as the rotation of two VEV's.
Furthermore, some moduli parameters such as NS-NS 2-form flux are identified as
the deformation parameters of the 3-algebras. By combining them, we recover
most of the moduli parameters which are required by U-duality symmetry.
|
[
{
"created": "Mon, 11 May 2009 15:00:49 GMT",
"version": "v1"
},
{
"created": "Thu, 14 May 2009 06:37:09 GMT",
"version": "v2"
}
] |
2009-07-28
|
[
[
"Kobo",
"Takayuki",
""
],
[
"Matsuo",
"Yutaka",
""
],
[
"Shiba",
"Shotaro",
""
]
] |
In our previous paper, it was shown that BLG model based on a Lorentzian metric 3-algebra gives Dp-brane action whose worldvolume is compactified on torus T^d (d=p-2). Here the 3-algebra was a generalized one with d+1 pairs of Lorentzian metric generators and expressed in terms of a loop algebra with central extensions. In this paper, we derive the precise relation between the coupling constant of the super Yang-Mills, the moduli of T^d and some R-R flux with VEV's of ghost fields associated with Lorentzian metric generators. In particular, for d=1, we derive the Yang-Mills action with theta term and show that SL(2,Z) Montonen-Olive duality is realized as the rotation of two VEV's. Furthermore, some moduli parameters such as NS-NS 2-form flux are identified as the deformation parameters of the 3-algebras. By combining them, we recover most of the moduli parameters which are required by U-duality symmetry.
| 9.907608
| 9.507196
| 10.982399
| 9.251612
| 9.189858
| 9.087093
| 9.525692
| 9.559476
| 8.91547
| 12.184141
| 9.165579
| 9.373812
| 9.589664
| 9.217954
| 9.268552
| 9.157172
| 9.289969
| 9.195745
| 9.329268
| 9.804422
| 9.279238
|
hep-th/0605021
|
Shigenori Seki
|
Shigenori Seki, Katsuyuki Sugiyama, Tatsuya Tokunaga (Kyoto Univ.)
|
Superconformal Symmetry in Linear Sigma Model on Supermanifolds
|
24 pages, 2 figures, typos corrected and refs. added
|
Nucl.Phys.B753:295-312,2006
|
10.1016/j.nuclphysb.2006.07.013
|
KUNS-2018, YITP-06-19
|
hep-th
| null |
We consider a gauged linear sigma model in two dimensions with Grassmann odd
chiral superfields. We investigate the Konishi anomaly of this model and find
out the condition for realization of superconformal symmetry on the
world-sheet. When this condition is satisfied, the theory is expected to flow
into conformal theory in the infrared limit. We construct superconformal
currents explicitly and study some properties of this world-sheet theory from
the point of view of conformal field theories.
|
[
{
"created": "Tue, 2 May 2006 11:09:21 GMT",
"version": "v1"
},
{
"created": "Thu, 11 May 2006 11:29:38 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Seki",
"Shigenori",
"",
"Kyoto Univ."
],
[
"Sugiyama",
"Katsuyuki",
"",
"Kyoto Univ."
],
[
"Tokunaga",
"Tatsuya",
"",
"Kyoto Univ."
]
] |
We consider a gauged linear sigma model in two dimensions with Grassmann odd chiral superfields. We investigate the Konishi anomaly of this model and find out the condition for realization of superconformal symmetry on the world-sheet. When this condition is satisfied, the theory is expected to flow into conformal theory in the infrared limit. We construct superconformal currents explicitly and study some properties of this world-sheet theory from the point of view of conformal field theories.
| 6.873127
| 6.628939
| 8.062499
| 6.008289
| 6.6268
| 6.733242
| 6.352456
| 6.348833
| 6.616211
| 7.584586
| 6.127836
| 6.386432
| 7.15474
| 6.530234
| 6.349349
| 6.580657
| 6.418232
| 6.385004
| 6.473285
| 7.402
| 6.528061
|
1509.02016
|
Gabi Zafrir
|
Gabi Zafrir
|
Brane webs, $5d$ gauge theories and $6d$ $\mathcal{N}$$=(1,0)$ SCFT's
|
61 pages, 51 figures; v2 typos corrected, version published in JHEP
| null |
10.1007/JHEP12(2015)157
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study $5d$ gauge theories that go in the UV to $6d$ $\mathcal{N}$$=(1,0)$
SCFT. We focus on these theories that can be engineered in string theory by
brane webs. Given a theory in this class, we propose a method to determine the
$6d$ SCFT it goes to. We also discuss the implication of this to the
compactification of the resulting $6d$ SCFT on a torus to $4d$. We test and
demonstrate this method with a variety of examples.
|
[
{
"created": "Mon, 7 Sep 2015 12:46:50 GMT",
"version": "v1"
},
{
"created": "Sat, 30 Jan 2016 15:45:54 GMT",
"version": "v2"
}
] |
2016-02-02
|
[
[
"Zafrir",
"Gabi",
""
]
] |
We study $5d$ gauge theories that go in the UV to $6d$ $\mathcal{N}$$=(1,0)$ SCFT. We focus on these theories that can be engineered in string theory by brane webs. Given a theory in this class, we propose a method to determine the $6d$ SCFT it goes to. We also discuss the implication of this to the compactification of the resulting $6d$ SCFT on a torus to $4d$. We test and demonstrate this method with a variety of examples.
| 6.074736
| 6.0784
| 7.086331
| 5.751043
| 5.696432
| 5.817903
| 5.901575
| 5.963676
| 5.69138
| 6.691088
| 5.526313
| 5.782162
| 6.225813
| 5.831782
| 5.863573
| 5.875644
| 5.729868
| 5.756513
| 5.758582
| 5.895751
| 5.732704
|
hep-th/9610018
|
Jorge Russo
|
J.G. Russo
|
Supermembrane dynamics from multiple interacting strings
|
Small corrections. 21 pages
|
Nucl.Phys. B492 (1997) 205-222
|
10.1016/S0550-3213(97)80032-6
|
CERN-TH/96-275
|
hep-th
| null |
The supermembrane theory on $R^{10}x S^1$ is investigated, for membranes that
wrap once around the compact dimension. The Hamiltonian can be organized as
describing $N_s$ interacting strings, the exact supermembrane corresponding to
$N_s\to \infty$. The zero-mode part of $N_s-1$ strings turn out to be precisely
the modes which are responsible of instabilities. For sufficiently large
compactification radius $R_0$, interactions are negligible and the
lowest-energy excitations are described by a set of harmonic oscillators. We
compute the physical spectrum to leading order, which becomes exact in the
limit $ g^2 \to \infty $, where $g^2\equiv 4\pi^2 T_3 R_0^3$ and $T_3$ is the
membrane tension. As the radius is decreased, more strings become strongly
interacting and their oscillation modes get frozen. In the zero-radius limit,
the spectrum is constituted of the type IIA superstring spectrum, plus an
infinite number of extra states associated with flat directions of the quartic
potential.
|
[
{
"created": "Thu, 3 Oct 1996 15:35:27 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Oct 1996 11:01:44 GMT",
"version": "v2"
},
{
"created": "Wed, 16 Oct 1996 12:39:49 GMT",
"version": "v3"
},
{
"created": "Sun, 2 Feb 1997 11:32:08 GMT",
"version": "v4"
}
] |
2015-06-26
|
[
[
"Russo",
"J. G.",
""
]
] |
The supermembrane theory on $R^{10}x S^1$ is investigated, for membranes that wrap once around the compact dimension. The Hamiltonian can be organized as describing $N_s$ interacting strings, the exact supermembrane corresponding to $N_s\to \infty$. The zero-mode part of $N_s-1$ strings turn out to be precisely the modes which are responsible of instabilities. For sufficiently large compactification radius $R_0$, interactions are negligible and the lowest-energy excitations are described by a set of harmonic oscillators. We compute the physical spectrum to leading order, which becomes exact in the limit $ g^2 \to \infty $, where $g^2\equiv 4\pi^2 T_3 R_0^3$ and $T_3$ is the membrane tension. As the radius is decreased, more strings become strongly interacting and their oscillation modes get frozen. In the zero-radius limit, the spectrum is constituted of the type IIA superstring spectrum, plus an infinite number of extra states associated with flat directions of the quartic potential.
| 9.807277
| 9.674219
| 9.983782
| 8.911906
| 9.528967
| 10.090818
| 9.940274
| 9.393893
| 8.614186
| 11.953687
| 9.138121
| 9.148053
| 9.516482
| 9.373885
| 9.537509
| 9.145723
| 9.127878
| 9.17382
| 9.394368
| 9.693363
| 9.227481
|
hep-th/9309149
|
Antonio Gabriel Oliveira Moreira
|
C. Aragone, Pio J. Arias and A. Khoudeir
|
Two gravitationally Chern-Simons terms are too many
|
Pages 7
| null | null |
SB-F/204
|
hep-th
| null |
It is shown that topological massive gravity augmented by the triadic
gravitational Chern-Simons first order term is a curved a pure spin-2 action.
This model contains two massive spin-2 excitations. However, since its
light-front energy is not semidefinite positive, this double CS-action does not
have any physical relevance.In other words, topological massive gravity cannot
be spontaneously broken down by the presence of the triadic CS term.
|
[
{
"created": "Mon, 27 Sep 1993 22:27:16 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Aragone",
"C.",
""
],
[
"Arias",
"Pio J.",
""
],
[
"Khoudeir",
"A.",
""
]
] |
It is shown that topological massive gravity augmented by the triadic gravitational Chern-Simons first order term is a curved a pure spin-2 action. This model contains two massive spin-2 excitations. However, since its light-front energy is not semidefinite positive, this double CS-action does not have any physical relevance.In other words, topological massive gravity cannot be spontaneously broken down by the presence of the triadic CS term.
| 22.579281
| 22.176662
| 23.027069
| 20.571939
| 21.047325
| 20.026798
| 20.613337
| 21.50795
| 20.08206
| 23.397655
| 19.288055
| 19.704891
| 19.627064
| 18.92024
| 20.174469
| 20.287172
| 19.518711
| 19.871626
| 20.03367
| 20.211372
| 19.241442
|
hep-th/9205030
|
Haruhiko Terao
|
Haruhiko Terao
|
Quantum Analysis of Jackiw and Teitelboim's Model for 1+1 D Gravity and
Topological Gauge Theory
|
31 pages
|
Nucl.Phys. B395 (1993) 623-646
|
10.1016/0550-3213(93)90050-Y
|
DPKU-9207
|
hep-th
| null |
We study the BRST quantization of the 1+1 dimensional gravity model proposed
by Jackiw and Teitelboim and also the topological gauge model which is
equivalent to the gravity model at least classically. The gravity model
quantized in the light-cone gauge is found to be a free theory with a nilpotent
BRST charge. We show also that there exist twisted N=2 superconformal algebras
in the Jackiw-Teitelboim's model as well as in the topological gauge model. We
discuss the quantum equivalence between the gravity theory and the topological
gauge theory. It is shown that these theories are indeed equivalent to each
other in the light-cone gauge.
|
[
{
"created": "Wed, 13 May 1992 04:22:50 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Terao",
"Haruhiko",
""
]
] |
We study the BRST quantization of the 1+1 dimensional gravity model proposed by Jackiw and Teitelboim and also the topological gauge model which is equivalent to the gravity model at least classically. The gravity model quantized in the light-cone gauge is found to be a free theory with a nilpotent BRST charge. We show also that there exist twisted N=2 superconformal algebras in the Jackiw-Teitelboim's model as well as in the topological gauge model. We discuss the quantum equivalence between the gravity theory and the topological gauge theory. It is shown that these theories are indeed equivalent to each other in the light-cone gauge.
| 4.988197
| 4.512153
| 5.065933
| 4.40416
| 4.431312
| 4.380932
| 4.309611
| 4.454982
| 4.34897
| 5.048083
| 4.419729
| 4.651624
| 4.942961
| 4.601655
| 4.469294
| 4.601907
| 4.647174
| 4.509838
| 4.648074
| 4.824889
| 4.594432
|
hep-th/0601113
|
Vincent G. J. Rodgers
|
V.G.J. Rodgers and Takeshi Yasuda
|
General Coordinate Transformations as the Origins of Dark Energy
| null |
Int.J.Mod.Phys.A22:749-776,2007
|
10.1142/S0217751X07035100
| null |
hep-th
| null |
In this note we demonstrate that the algebra associated with coordinate
transformations might contain the origins of a scalar field that can behave as
an inflaton and/or a source for dark energy. We will call this particular
scalar field the diffeomorphism scalar field. In one dimension, the algebra of
coordinate transformations is the Virasoro algebra while the algebra of gauge
transformations is the Kac-Moody algebra. An interesting representation of
these algebras corresponds to certain field theories that have meaning in any
dimension. In particular the so called Kac-Moody sector corresponds to
Yang-Mills theories and the Virasoro sector corresponds to the diffeomorphism
field theory that contains the scalar field and a rank-two symmetric, traceless
tensor. We will focus on the contributions of the diffeomorphism scalar field
to cosmology. We show that this scalar field can, qualitatively, act as a
phantom dark energy, an inflaton, a dark matter source, and the cosmological
constant Lambda.
|
[
{
"created": "Tue, 17 Jan 2006 04:13:35 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Rodgers",
"V. G. J.",
""
],
[
"Yasuda",
"Takeshi",
""
]
] |
In this note we demonstrate that the algebra associated with coordinate transformations might contain the origins of a scalar field that can behave as an inflaton and/or a source for dark energy. We will call this particular scalar field the diffeomorphism scalar field. In one dimension, the algebra of coordinate transformations is the Virasoro algebra while the algebra of gauge transformations is the Kac-Moody algebra. An interesting representation of these algebras corresponds to certain field theories that have meaning in any dimension. In particular the so called Kac-Moody sector corresponds to Yang-Mills theories and the Virasoro sector corresponds to the diffeomorphism field theory that contains the scalar field and a rank-two symmetric, traceless tensor. We will focus on the contributions of the diffeomorphism scalar field to cosmology. We show that this scalar field can, qualitatively, act as a phantom dark energy, an inflaton, a dark matter source, and the cosmological constant Lambda.
| 8.482494
| 8.624436
| 8.098548
| 8.035682
| 8.8272
| 8.483728
| 8.993892
| 8.123841
| 8.625806
| 8.858531
| 8.16478
| 7.974077
| 7.945435
| 7.939152
| 7.867725
| 8.014849
| 7.999709
| 7.909196
| 8.018777
| 7.833448
| 7.915663
|
hep-th/0011196
|
Y. M. Cho
|
W. S. Bae, Y. M. Cho, D. G. Pak
|
Electric-Magnetic Duality in QED Effective Action
|
5 pages
|
Phys.Rev. D64 (2001) 017303
|
10.1103/PhysRevD.64.017303
| null |
hep-th
| null |
Recently we have obtained a non-perturbative but convergent series expression
of the one loop effective action of QED, and discussed the renormalization of
the effective action. In this paper we establish the electric-magnetic duality
in the quantum effective action.
|
[
{
"created": "Wed, 22 Nov 2000 05:14:39 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Bae",
"W. S.",
""
],
[
"Cho",
"Y. M.",
""
],
[
"Pak",
"D. G.",
""
]
] |
Recently we have obtained a non-perturbative but convergent series expression of the one loop effective action of QED, and discussed the renormalization of the effective action. In this paper we establish the electric-magnetic duality in the quantum effective action.
| 10.079337
| 6.482228
| 8.971227
| 7.056343
| 7.234565
| 7.589063
| 6.783322
| 7.201294
| 6.987859
| 8.280732
| 6.878274
| 7.513791
| 8.215369
| 7.675577
| 7.866596
| 7.630784
| 7.562353
| 7.672665
| 7.871519
| 7.885704
| 7.642159
|
1204.3893
|
Hagen Triendl
|
Jan Louis, Paul Smyth, Hagen Triendl
|
Supersymmetric Vacua in N=2 Supergravity
|
14 pages, v2: references added, statement on SU(3) x SU(3) structure
compactifications clarified; v3: published version with statement on moduli
space of N=2 AdS vacua corrected
|
JHEP 1208:039, 2012
|
10.1007/JHEP08(2012)039
|
ZMP-HH/12-6; IPhT-t12/031
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use the embedding tensor formalism to analyse maximally symmetric
backgrounds of N=2 gauged supergravities which have the full N=2 supersymmetry.
We state the condition for N=2 vacua and discuss some of their general
properties. We show that if the gauged isometries leave the SU(2) R-symmetry
invariant, then the N=2 vacuum must be Minkowski. This implies that there are
no AdS backgrounds with eight unbroken supercharges in the effective N=2
supergravity of six-dimensional SU(3) x SU(3) structure compactifications of
type II string theory and M-theory. Combined with previous results on N=1
vacua, we show that there exist N=2 supergravities with a given set of gauged
Abelian isometries that have both N=2 and N=1 vacua. We also argue that an
analogue of our analysis holds in five and six spacetime dimensions.
|
[
{
"created": "Tue, 17 Apr 2012 20:00:00 GMT",
"version": "v1"
},
{
"created": "Mon, 7 May 2012 12:29:16 GMT",
"version": "v2"
},
{
"created": "Mon, 19 Nov 2012 17:35:49 GMT",
"version": "v3"
}
] |
2012-11-20
|
[
[
"Louis",
"Jan",
""
],
[
"Smyth",
"Paul",
""
],
[
"Triendl",
"Hagen",
""
]
] |
We use the embedding tensor formalism to analyse maximally symmetric backgrounds of N=2 gauged supergravities which have the full N=2 supersymmetry. We state the condition for N=2 vacua and discuss some of their general properties. We show that if the gauged isometries leave the SU(2) R-symmetry invariant, then the N=2 vacuum must be Minkowski. This implies that there are no AdS backgrounds with eight unbroken supercharges in the effective N=2 supergravity of six-dimensional SU(3) x SU(3) structure compactifications of type II string theory and M-theory. Combined with previous results on N=1 vacua, we show that there exist N=2 supergravities with a given set of gauged Abelian isometries that have both N=2 and N=1 vacua. We also argue that an analogue of our analysis holds in five and six spacetime dimensions.
| 5.718634
| 5.722791
| 6.713686
| 5.514881
| 5.881656
| 5.774714
| 5.630599
| 5.24298
| 5.542522
| 7.116162
| 5.929492
| 5.551514
| 5.824098
| 5.442775
| 5.428856
| 5.461179
| 5.55303
| 5.528553
| 5.513614
| 5.850296
| 5.337797
|
2304.04695
|
Irina Aref'eva
|
Irina Aref'eva and Igor Volovich
|
Violation of the Third Law of Thermodynamics by Black Holes, Riemann
Zeta Function and Bose Gas in Negative Dimensions
|
10 pages, minor improvements, reference added
| null | null | null |
hep-th gr-qc
|
http://creativecommons.org/publicdomain/zero/1.0/
|
Black holes violate the third law of thermodynamics in its standard
formulation. Schwarzschild black hole entropy is inverse proportional to the
square of the temperature $S=1/(16 \pi T^2) $ and tends to infinity rather than
zero when the temperature goes to zero. We search for quantum statistical
models with such exotic thermodynamic behaviour. It is shown that the
Schwarzschild black hole in $D=4 $ spacetime dimensions corresponds to a Bose
gas in a space with $d=-\, 4$ negative spatial dimensions. The Riemann zeta
function is used to define the entropy of the Bose gas in negative dimension.
The correspondence between black holes in higher dimensions and de Sitter
spacetime with Bose gases is considered.
|
[
{
"created": "Mon, 10 Apr 2023 16:18:15 GMT",
"version": "v1"
},
{
"created": "Mon, 1 May 2023 16:24:03 GMT",
"version": "v2"
}
] |
2023-05-02
|
[
[
"Aref'eva",
"Irina",
""
],
[
"Volovich",
"Igor",
""
]
] |
Black holes violate the third law of thermodynamics in its standard formulation. Schwarzschild black hole entropy is inverse proportional to the square of the temperature $S=1/(16 \pi T^2) $ and tends to infinity rather than zero when the temperature goes to zero. We search for quantum statistical models with such exotic thermodynamic behaviour. It is shown that the Schwarzschild black hole in $D=4 $ spacetime dimensions corresponds to a Bose gas in a space with $d=-\, 4$ negative spatial dimensions. The Riemann zeta function is used to define the entropy of the Bose gas in negative dimension. The correspondence between black holes in higher dimensions and de Sitter spacetime with Bose gases is considered.
| 9.008207
| 9.814594
| 8.803267
| 8.813968
| 10.819696
| 9.218428
| 9.965465
| 8.963991
| 9.245708
| 9.406266
| 8.846101
| 8.629478
| 8.960655
| 8.363806
| 8.674797
| 8.559591
| 8.696755
| 8.277952
| 8.459105
| 8.993016
| 8.886922
|
1501.07863
|
Thomas Mohaupt
|
Paul Dempster, David Errington and Thomas Mohaupt
|
Nernst branes from special geometry
|
37 pages. v2: numerical pre-factors of scalar fields q_A corrected in
Section 3. No changes to conclusions. References added
| null |
10.1007/JHEP05(2015)079
|
LTH-1033
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct new black brane solutions in $U(1)$ gauged ${\cal N}=2$
supergravity with a general cubic prepotential, which have entropy density
$s\sim T^{1/3}$ as $T \rightarrow 0$ and thus satisfy the Nernst Law. By using
the real formulation of special geometry, we are able to obtain analytical
solutions in closed form as functions of two parameters, the temperature $T$
and the chemical potential $\mu$. Our solutions interpolate between
hyperscaling violating Lifshitz geometries with $(z,\theta)=(0,2)$ at the
horizon and $(z,\theta)=(1,-1)$ at infinity. In the zero temperature limit,
where the entropy density goes to zero, we recover the extremal Nernst branes
of Barisch et al, and the parameters of the near horizon geometry change to
$(z,\theta)=(3,1)$.
|
[
{
"created": "Fri, 30 Jan 2015 17:53:27 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Feb 2015 10:22:43 GMT",
"version": "v2"
}
] |
2017-09-13
|
[
[
"Dempster",
"Paul",
""
],
[
"Errington",
"David",
""
],
[
"Mohaupt",
"Thomas",
""
]
] |
We construct new black brane solutions in $U(1)$ gauged ${\cal N}=2$ supergravity with a general cubic prepotential, which have entropy density $s\sim T^{1/3}$ as $T \rightarrow 0$ and thus satisfy the Nernst Law. By using the real formulation of special geometry, we are able to obtain analytical solutions in closed form as functions of two parameters, the temperature $T$ and the chemical potential $\mu$. Our solutions interpolate between hyperscaling violating Lifshitz geometries with $(z,\theta)=(0,2)$ at the horizon and $(z,\theta)=(1,-1)$ at infinity. In the zero temperature limit, where the entropy density goes to zero, we recover the extremal Nernst branes of Barisch et al, and the parameters of the near horizon geometry change to $(z,\theta)=(3,1)$.
| 5.706505
| 5.326986
| 6.567381
| 5.471567
| 5.736383
| 5.45765
| 5.903177
| 5.200777
| 5.373985
| 7.431921
| 5.268907
| 5.468853
| 5.962125
| 5.498462
| 5.450745
| 5.643428
| 5.602245
| 5.477034
| 5.434115
| 5.820376
| 5.214836
|
hep-th/0211214
|
Tigran Tchrakian
|
A. Chakrabarti (Ecole Polytechnique)
|
Nonlinear transforms of momenta and Planck scale limit
|
10 pages, no figures, corrected some typos
|
J.Math.Phys. 44 (2003) 3800-3808
|
10.1063/1.1593225
| null |
hep-th gr-qc
| null |
Starting with the generators of the Poincar\'e group for arbitrary mass (m)
and spin (s) a nonunitary transformation is implemented to obtain momenta with
an absolute Planck scale limit. In the rest frame (for $m>0$) the transformed
energy coincides with the standard one, both being $m$. As the latter tends to
infinity under Lorentz transformations the former tends to a finite upper limit
$m\coth(lm) = l^{-1}+ O(l)$ where $l$ is the Planck length and the
mass-dependent nonleading terms vanish exactly for zero rest mass.The invariant
$m^{2}$ is conserved for the transformed momenta. The speed of light continues
to be the absolute scale for velocities. We study various aspects of the
kinematics in which two absolute scales have been introduced in this specific
fashion. Precession of polarization and transformed position operators are
among them. A deformation of the Poincar\'e algebra to the SO(4,1) deSitter one
permits the implementation of our transformation in the latter case. A
supersymmetric extension of the Poincar\'e algebra is also studied in this
context.
|
[
{
"created": "Fri, 22 Nov 2002 12:23:13 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Jan 2003 12:21:19 GMT",
"version": "v2"
}
] |
2015-06-26
|
[
[
"Chakrabarti",
"A.",
"",
"Ecole Polytechnique"
]
] |
Starting with the generators of the Poincar\'e group for arbitrary mass (m) and spin (s) a nonunitary transformation is implemented to obtain momenta with an absolute Planck scale limit. In the rest frame (for $m>0$) the transformed energy coincides with the standard one, both being $m$. As the latter tends to infinity under Lorentz transformations the former tends to a finite upper limit $m\coth(lm) = l^{-1}+ O(l)$ where $l$ is the Planck length and the mass-dependent nonleading terms vanish exactly for zero rest mass.The invariant $m^{2}$ is conserved for the transformed momenta. The speed of light continues to be the absolute scale for velocities. We study various aspects of the kinematics in which two absolute scales have been introduced in this specific fashion. Precession of polarization and transformed position operators are among them. A deformation of the Poincar\'e algebra to the SO(4,1) deSitter one permits the implementation of our transformation in the latter case. A supersymmetric extension of the Poincar\'e algebra is also studied in this context.
| 13.31248
| 16.228518
| 14.034176
| 13.402913
| 13.851701
| 15.1928
| 16.035646
| 14.019238
| 13.091317
| 14.419065
| 13.644409
| 13.171369
| 12.900056
| 13.022943
| 13.228273
| 13.500825
| 13.508034
| 13.026613
| 13.465314
| 12.630271
| 13.209379
|
1206.5140
|
S. Prem Kumar
|
S. Prem Kumar
|
Heavy quark density in N=4 SYM: from hedgehog to Lifshitz spacetimes
|
20 pages, 2 figures, references added
| null |
10.1007/JHEP08(2012)155
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the effect of an order N^2 density of heavy quarks in strongly
coupled N=4 SUSY Yang-Mills theory in the large N limit. This is achieved in
the type IIB supergravity dual by introducing a uniformly smeared density of
macroscopic string sources stretching to the boundary of AdS_5 x S^5. The
backreacted system exhibits a flow from an AdS_5 "hedgehog" geometry to a
scaling Lifshitz-like solution Lif_5 x S^5 with dynamical critical exponent
z=7, wherein the scaling symmetry is broken by a logarithmic running dilaton.
We find an exact black brane solution within the scaling regime which describes
the low temperature thermodynamics of the system.
|
[
{
"created": "Fri, 22 Jun 2012 13:10:34 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Jul 2012 22:32:16 GMT",
"version": "v2"
}
] |
2015-06-05
|
[
[
"Kumar",
"S. Prem",
""
]
] |
We study the effect of an order N^2 density of heavy quarks in strongly coupled N=4 SUSY Yang-Mills theory in the large N limit. This is achieved in the type IIB supergravity dual by introducing a uniformly smeared density of macroscopic string sources stretching to the boundary of AdS_5 x S^5. The backreacted system exhibits a flow from an AdS_5 "hedgehog" geometry to a scaling Lifshitz-like solution Lif_5 x S^5 with dynamical critical exponent z=7, wherein the scaling symmetry is broken by a logarithmic running dilaton. We find an exact black brane solution within the scaling regime which describes the low temperature thermodynamics of the system.
| 8.70455
| 8.365113
| 9.328028
| 8.157343
| 8.42371
| 7.72749
| 7.913038
| 7.491508
| 7.619004
| 9.982466
| 7.341683
| 7.734118
| 9.091641
| 7.966166
| 8.260242
| 8.132025
| 7.986745
| 7.560217
| 8.189558
| 9.138183
| 7.733115
|
1808.05939
|
{\DJ}or{\dj}e Radi\v{c}evi\'c
|
Jennifer Lin, Djordje Radicevic
|
Comments on Defining Entanglement Entropy
|
49 pages. v2: added references
| null | null | null |
hep-th cond-mat.other hep-lat quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We revisit the issue of defining the entropy of a spatial region in a broad
class of quantum theories. In theories with explicit regularizations, working
within an elementary but general algebraic framework applicable to matter and
gauge theories alike, we give precise path integral expressions for three known
types of entanglement entropy that we call full, distillable, and
gauge-invariant. For a class of gauge theories that do not necessarily have a
regularization in our framework, including Chern-Simons theory, we describe a
related approach to defining entropies based on locally extending the Hilbert
space at the entangling edge, and we discuss its connections to other
calculational prescriptions. Based on results from both approaches, we
conjecture that it is always the full entanglement entropy that is calculated
by standard holographic techniques in strongly coupled conformal theories.
|
[
{
"created": "Fri, 17 Aug 2018 17:43:58 GMT",
"version": "v1"
},
{
"created": "Sun, 16 Sep 2018 15:17:56 GMT",
"version": "v2"
}
] |
2018-09-18
|
[
[
"Lin",
"Jennifer",
""
],
[
"Radicevic",
"Djordje",
""
]
] |
We revisit the issue of defining the entropy of a spatial region in a broad class of quantum theories. In theories with explicit regularizations, working within an elementary but general algebraic framework applicable to matter and gauge theories alike, we give precise path integral expressions for three known types of entanglement entropy that we call full, distillable, and gauge-invariant. For a class of gauge theories that do not necessarily have a regularization in our framework, including Chern-Simons theory, we describe a related approach to defining entropies based on locally extending the Hilbert space at the entangling edge, and we discuss its connections to other calculational prescriptions. Based on results from both approaches, we conjecture that it is always the full entanglement entropy that is calculated by standard holographic techniques in strongly coupled conformal theories.
| 13.06459
| 12.569155
| 14.582765
| 12.795286
| 12.468522
| 13.268987
| 12.730099
| 12.114114
| 13.46452
| 13.535839
| 12.891465
| 12.913128
| 13.223453
| 12.375851
| 12.478725
| 12.394918
| 12.596124
| 12.417946
| 13.030642
| 13.168495
| 12.319276
|
0905.0900
|
Paul Hohler
|
Paul M. Hohler, Mikhail A. Stephanov
|
Holography and the speed of sound at high temperatures
|
4 pages, corrected typos
|
Phys. Rev. D 80, 066002 (2009)
|
10.1103/PhysRevD.80.066002
| null |
hep-th hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that in a general class of strongly interacting theories at high
temperatures the speed of sound approaches the conformal value c_s^2=1/3
universally from_below_. This class includes theories holographically dual to a
theory of gravity coupled to a single scalar field, representing the operator
of the scale anomaly.
|
[
{
"created": "Thu, 7 May 2009 19:40:55 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Sep 2009 21:05:37 GMT",
"version": "v2"
}
] |
2009-09-16
|
[
[
"Hohler",
"Paul M.",
""
],
[
"Stephanov",
"Mikhail A.",
""
]
] |
We show that in a general class of strongly interacting theories at high temperatures the speed of sound approaches the conformal value c_s^2=1/3 universally from_below_. This class includes theories holographically dual to a theory of gravity coupled to a single scalar field, representing the operator of the scale anomaly.
| 13.423601
| 11.464442
| 11.763602
| 11.539361
| 12.495304
| 11.20464
| 11.59081
| 12.312431
| 10.409957
| 13.323079
| 10.41329
| 10.726202
| 11.535499
| 10.774061
| 11.183646
| 11.160851
| 11.151419
| 11.221616
| 10.745406
| 11.48095
| 10.683913
|
2312.17416
|
Haifeng Tang
|
Haifeng Tang
|
Operator Krylov complexity in random matrix theory
|
25 pages, 6 figures
| null | null | null |
hep-th cond-mat.quant-gas cond-mat.stat-mech cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Krylov complexity, as a novel measure of operator complexity under Heisenberg
evolution, exhibits many interesting universal behaviors and also bounds many
other complexity measures. In this work, we study Krylov complexity
$\mathcal{K}(t)$ in Random Matrix Theory (RMT). In large $N$ limit: (1) For
infinite temperature, we analytically show that the Lanczos coefficient
$\{b_n\}$ saturate to constant plateau $\lim\limits_{n\rightarrow\infty}b_n=b$,
rendering a linear growing complexity $\mathcal{K}(t)\sim t$, in contrast to
the exponential-in-time growth in chaotic local systems in thermodynamic limit.
After numerically comparing this plateau value $b$ to a large class of chaotic
local quantum systems, we find that up to small fluctuations, it actually
bounds the $\{b_n\}$ in chaotic local quantum systems. Therefore we conjecture
that in chaotic local quantum systems after scrambling time, the speed of
linear growth of Krylov complexity cannot be larger than that in RMT. (2) For
low temperature, we analytically show that $b_n$ will first exhibit linear
growth with $n$, whose slope saturates the famous chaos bound. After hitting
the same plateau $b$, $b_n$ will then remain constant. This indicates
$\mathcal{K}(t)\sim e^{2\pi t/\beta}$ before scrambling time $t_*\sim
O(\beta\log\beta)$, and after that it will grow linearly in time, with the same
speed as in infinite temperature. We finally remark on the effect of finite $N$
corrections.
|
[
{
"created": "Fri, 29 Dec 2023 01:12:51 GMT",
"version": "v1"
}
] |
2024-01-01
|
[
[
"Tang",
"Haifeng",
""
]
] |
Krylov complexity, as a novel measure of operator complexity under Heisenberg evolution, exhibits many interesting universal behaviors and also bounds many other complexity measures. In this work, we study Krylov complexity $\mathcal{K}(t)$ in Random Matrix Theory (RMT). In large $N$ limit: (1) For infinite temperature, we analytically show that the Lanczos coefficient $\{b_n\}$ saturate to constant plateau $\lim\limits_{n\rightarrow\infty}b_n=b$, rendering a linear growing complexity $\mathcal{K}(t)\sim t$, in contrast to the exponential-in-time growth in chaotic local systems in thermodynamic limit. After numerically comparing this plateau value $b$ to a large class of chaotic local quantum systems, we find that up to small fluctuations, it actually bounds the $\{b_n\}$ in chaotic local quantum systems. Therefore we conjecture that in chaotic local quantum systems after scrambling time, the speed of linear growth of Krylov complexity cannot be larger than that in RMT. (2) For low temperature, we analytically show that $b_n$ will first exhibit linear growth with $n$, whose slope saturates the famous chaos bound. After hitting the same plateau $b$, $b_n$ will then remain constant. This indicates $\mathcal{K}(t)\sim e^{2\pi t/\beta}$ before scrambling time $t_*\sim O(\beta\log\beta)$, and after that it will grow linearly in time, with the same speed as in infinite temperature. We finally remark on the effect of finite $N$ corrections.
| 7.743361
| 7.631242
| 7.567971
| 6.555893
| 7.487298
| 7.336822
| 7.171192
| 6.989474
| 7.149637
| 8.470928
| 6.608289
| 6.920131
| 7.117044
| 6.93407
| 7.017372
| 6.846609
| 7.033385
| 6.910433
| 6.881744
| 7.269962
| 6.799142
|
1509.03612
|
Alexander Zhiboedov
|
Juan Maldacena, David Simmons-Duffin, Alexander Zhiboedov
|
Looking for a bulk point
|
60 pages, 12 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider Lorentzian correlators of local operators. In perturbation
theory, singularities occur when we can draw a position-space Landau diagram
with null lines. In theories with gravity duals, we can also draw Landau
diagrams in the bulk. We argue that certain singularities can arise only from
bulk diagrams, not from boundary diagrams. As has been previously observed,
these singularities are a clear diagnostic of bulk locality. We analyze some
properties of these perturbative singularities and discuss their relation to
the OPE and the dimensions of double-trace operators. In the exact
nonperturbative theory, we expect no singularity at these locations. We prove
this statement in 1+1 dimensions by CFT methods.
|
[
{
"created": "Fri, 11 Sep 2015 19:09:46 GMT",
"version": "v1"
}
] |
2015-09-14
|
[
[
"Maldacena",
"Juan",
""
],
[
"Simmons-Duffin",
"David",
""
],
[
"Zhiboedov",
"Alexander",
""
]
] |
We consider Lorentzian correlators of local operators. In perturbation theory, singularities occur when we can draw a position-space Landau diagram with null lines. In theories with gravity duals, we can also draw Landau diagrams in the bulk. We argue that certain singularities can arise only from bulk diagrams, not from boundary diagrams. As has been previously observed, these singularities are a clear diagnostic of bulk locality. We analyze some properties of these perturbative singularities and discuss their relation to the OPE and the dimensions of double-trace operators. In the exact nonperturbative theory, we expect no singularity at these locations. We prove this statement in 1+1 dimensions by CFT methods.
| 9.846727
| 9.941341
| 10.999654
| 9.248199
| 10.434382
| 9.435089
| 9.829824
| 9.394964
| 9.769299
| 11.259782
| 8.940349
| 9.306604
| 10.463298
| 9.391948
| 9.415675
| 9.489124
| 9.203023
| 9.254086
| 9.53449
| 10.310431
| 9.455338
|
hep-th/0006111
|
Shinsuke M. Nishigaki
|
P. H. Damgaard, S. M. Nishigaki
|
Distribution of the k-th smallest Dirac operator eigenvalue
|
REVTeX 3.1, 6 pages, 1 figure. Corrected factors in eqs. (16a) and
(16c) and very minor typos (v2)
|
Phys.Rev. D63 (2001) 045012
|
10.1103/PhysRevD.63.045012
|
TIT-HEP-446
|
hep-th cond-mat hep-lat
| null |
Based on the exact relationship to Random Matrix Theory, we derive the
probability distribution of the k-th smallest Dirac operator eigenvalue in the
microscopic finite-volume scaling regime of QCD and related gauge theories.
|
[
{
"created": "Thu, 15 Jun 2000 15:10:02 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Jul 2003 18:52:58 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Damgaard",
"P. H.",
""
],
[
"Nishigaki",
"S. M.",
""
]
] |
Based on the exact relationship to Random Matrix Theory, we derive the probability distribution of the k-th smallest Dirac operator eigenvalue in the microscopic finite-volume scaling regime of QCD and related gauge theories.
| 20.178125
| 19.892382
| 14.198909
| 12.493413
| 15.21452
| 14.943156
| 15.741288
| 14.030248
| 12.99645
| 16.359491
| 14.465372
| 13.443901
| 15.916552
| 14.914903
| 14.093552
| 14.513446
| 14.049412
| 13.905046
| 13.411477
| 15.720582
| 13.204807
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.