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2.01k
| perplexity_Llama-3.1-8B
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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
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| perplexity_s8-L-3.1-8B-base
float64 2.89
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| perplexity_s9-L-3.1-8B-base
float64 3.21
1.68k
| perplexity_s10-L-3.1-8B-base
float64 2.98
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| perplexity_s1-L-3.1-8B-qkv_v2
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float64 2.96
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float64 2.95
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|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1605.08425
|
Jun Nian
|
Yachao Qian, Jun Nian
|
Form Invariance, Topological Fluctuations and Mass Gap of Yang-Mills
Theory
|
52 + 41 pages, 11 figures; v2: published version with minor changes
|
Int. J. Mod. Phys. A34 no. 31, (2019) 1950188
|
10.1142/S0217751X19501884
| null |
hep-th math-ph math.MP nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In order to have a new perspective on the long-standing problem of the mass
gap in Yang-Mills theory, we study the quantum Yang-Mills theory in the
presence of topologically nontrivial backgrounds in this paper. The
topologically stable gauge fields are constrained by the form invariance
condition and the topological properties. Obeying these constraints, the known
classical solutions to the Yang-Mills equation in the 3- and 4-dimensional
Euclidean spaces are recovered, and the other allowed configurations form the
nontrivial topological fluctuations at quantum level. Together, they constitute
the background configurations, upon which the quantum Yang-Mills theory can be
constructed. We demonstrate that the theory mimics the Higgs mechanism in a
certain limit and develops a mass gap at semi-classical level on a flat space
with finite size or on a sphere.
|
[
{
"created": "Thu, 26 May 2016 19:41:17 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Dec 2020 00:08:38 GMT",
"version": "v2"
}
] |
2021-07-02
|
[
[
"Qian",
"Yachao",
""
],
[
"Nian",
"Jun",
""
]
] |
In order to have a new perspective on the long-standing problem of the mass gap in Yang-Mills theory, we study the quantum Yang-Mills theory in the presence of topologically nontrivial backgrounds in this paper. The topologically stable gauge fields are constrained by the form invariance condition and the topological properties. Obeying these constraints, the known classical solutions to the Yang-Mills equation in the 3- and 4-dimensional Euclidean spaces are recovered, and the other allowed configurations form the nontrivial topological fluctuations at quantum level. Together, they constitute the background configurations, upon which the quantum Yang-Mills theory can be constructed. We demonstrate that the theory mimics the Higgs mechanism in a certain limit and develops a mass gap at semi-classical level on a flat space with finite size or on a sphere.
| 9.764818
| 8.792109
| 8.895349
| 8.820301
| 8.944566
| 9.775753
| 9.492431
| 9.021079
| 8.615191
| 9.11541
| 8.642827
| 8.956293
| 9.001026
| 8.864039
| 8.76559
| 9.033689
| 8.944455
| 8.697329
| 8.896698
| 8.56168
| 8.753523
|
1604.03964
|
Maximilian Kelm
|
Matthias R. Gaberdiel, Maximilian Kelm
|
The symmetric orbifold of N=2 minimal models
|
32 pages
| null |
10.1007/JHEP07(2016)113
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The large level limit of the N=2 minimal models that appear in the duality
with the N=2 supersymmetric higher spin theory on AdS_3 is shown to be a
natural subsector of a certain symmetric orbifold theory. We study the relevant
decompositions in both the untwisted and the twisted sector, and analyse the
structure of the higher spin representations in the twisted sector in some
detail. These results should help to identify the string background of which
the higher spin theory is expected to describe the leading Regge trajectory in
the tensionless limit.
|
[
{
"created": "Wed, 13 Apr 2016 20:20:04 GMT",
"version": "v1"
}
] |
2016-08-24
|
[
[
"Gaberdiel",
"Matthias R.",
""
],
[
"Kelm",
"Maximilian",
""
]
] |
The large level limit of the N=2 minimal models that appear in the duality with the N=2 supersymmetric higher spin theory on AdS_3 is shown to be a natural subsector of a certain symmetric orbifold theory. We study the relevant decompositions in both the untwisted and the twisted sector, and analyse the structure of the higher spin representations in the twisted sector in some detail. These results should help to identify the string background of which the higher spin theory is expected to describe the leading Regge trajectory in the tensionless limit.
| 10.517981
| 9.109015
| 14.726405
| 8.859776
| 9.425151
| 9.204171
| 9.587774
| 8.99104
| 8.187757
| 14.402551
| 9.581261
| 9.671179
| 12.604232
| 9.858143
| 10.055011
| 10.020306
| 9.515011
| 9.563866
| 10.026679
| 11.751349
| 9.241682
|
hep-th/9906094
|
G. Lopes Cardoso
|
Gabriel Lopes Cardoso, Bernard de Wit and Thomas Mohaupt
|
Macroscopic entropy formulae and non-holomorphic corrections for
supersymmetric black holes
|
23 pages, LaTeX; note added
|
Nucl.Phys.B567:87-110,2000
|
10.1016/S0550-3213(99)00560-X
|
AEI-111, THU-99/11
|
hep-th
| null |
In four-dimensional N=2 compactifications of string theory or M-theory,
modifications of the Bekenstein-Hawking area law for black hole entropy in the
presence of higher-derivative interactions are crucial for finding agreement
between the macroscopic entropy obtained from supergravity and subleading
corrections to the microscopic entropy obtained via state counting. Here we
compute the modifications to the area law for various classes of black holes,
such as heterotic black holes, stemming from certain higher-derivative
gravitational Wilsonian coupling functions. We consider the extension to
heterotic N=4 supersymmetric black holes and their type-II duals and we discuss
its implications for the corresponding micro-state counting. In the effective
field theory approach the Wilsonian coupling functions are known to receive
non-holomorphic corrections. We discuss how to incorporate such corrections
into macroscopic entropy formulae so as to render them invariant under duality
transformations, and we give a concrete example thereof.
|
[
{
"created": "Sun, 13 Jun 1999 13:27:32 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Aug 1999 10:58:50 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Cardoso",
"Gabriel Lopes",
""
],
[
"de Wit",
"Bernard",
""
],
[
"Mohaupt",
"Thomas",
""
]
] |
In four-dimensional N=2 compactifications of string theory or M-theory, modifications of the Bekenstein-Hawking area law for black hole entropy in the presence of higher-derivative interactions are crucial for finding agreement between the macroscopic entropy obtained from supergravity and subleading corrections to the microscopic entropy obtained via state counting. Here we compute the modifications to the area law for various classes of black holes, such as heterotic black holes, stemming from certain higher-derivative gravitational Wilsonian coupling functions. We consider the extension to heterotic N=4 supersymmetric black holes and their type-II duals and we discuss its implications for the corresponding micro-state counting. In the effective field theory approach the Wilsonian coupling functions are known to receive non-holomorphic corrections. We discuss how to incorporate such corrections into macroscopic entropy formulae so as to render them invariant under duality transformations, and we give a concrete example thereof.
| 8.969337
| 7.745989
| 9.85574
| 7.539905
| 7.639795
| 8.08707
| 7.631355
| 7.48379
| 7.602584
| 9.776592
| 8.036331
| 8.064085
| 8.856018
| 8.046989
| 8.088505
| 8.010421
| 8.074208
| 8.144979
| 8.010037
| 8.819587
| 8.090252
|
1206.6699
|
Paul Richmond
|
Imtak Jeon, Neil Lambert and Paul Richmond
|
Periodic Arrays of M2-Branes
|
20 pages, 1 figure, v3: typos corrected, published version
|
JHEP 1211 (2012) 100
|
10.1007/JHEP11(2012)100
|
CERN-PH-TH/2012-178; KCL-MTH-12-07
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider periodic arrays of M2-branes in the ABJM model in the spirit of a
circle compactification to D2-branes in type IIA string theory. The result is a
curious formulation of three-dimensional maximally supersymmetric Yang-Mills
theory in terms of fermions, seven transverse scalars, a non-dynamical gauge
field and an additional scalar `dual gluon'. Upon further T-duality on a
transverse torus we obtain a non-manifest-Lorentz-invariant description of
five-dimensional maximally supersymmetric Yang-Mills. Here the additional
scalar field can be thought of as the components of a two-form along the torus.
This action can be viewed as an M-theory description of M5-branes on ${\mathbb
T}^3$.
|
[
{
"created": "Thu, 28 Jun 2012 14:13:55 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Aug 2012 10:44:29 GMT",
"version": "v2"
},
{
"created": "Thu, 29 Nov 2012 07:57:21 GMT",
"version": "v3"
}
] |
2015-06-05
|
[
[
"Jeon",
"Imtak",
""
],
[
"Lambert",
"Neil",
""
],
[
"Richmond",
"Paul",
""
]
] |
We consider periodic arrays of M2-branes in the ABJM model in the spirit of a circle compactification to D2-branes in type IIA string theory. The result is a curious formulation of three-dimensional maximally supersymmetric Yang-Mills theory in terms of fermions, seven transverse scalars, a non-dynamical gauge field and an additional scalar `dual gluon'. Upon further T-duality on a transverse torus we obtain a non-manifest-Lorentz-invariant description of five-dimensional maximally supersymmetric Yang-Mills. Here the additional scalar field can be thought of as the components of a two-form along the torus. This action can be viewed as an M-theory description of M5-branes on ${\mathbb T}^3$.
| 8.252387
| 6.714573
| 9.261231
| 7.028956
| 7.016153
| 6.951074
| 6.526562
| 7.245439
| 7.059083
| 9.105632
| 6.962547
| 7.383637
| 8.240668
| 7.189769
| 7.125961
| 7.308624
| 7.37366
| 7.260012
| 7.344887
| 8.181719
| 7.240875
|
2402.11527
|
Willy Fischler
|
Tom Banks and Willy Fischler
|
Holographic Inflation, Primordial Black Holes and Early Structure
Formation
|
10 pages, no figures. Submitted to 2024 Gravitation Research
Foundation Essay Contest May 13, 2024
| null | null | null |
hep-th astro-ph.CO astro-ph.GA gr-qc hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
Evidence has accumulated that there are supermassive black holes (SMBHs) in
the centers of most galaxies, and that these were formed in the very early
universe by some as yet unknown process. In particular, there is evidence [15]
that at least some galaxies formed as early as $10^8$ to $10^9$ years after the
Big Bang host SMBHs. We suggest that the holographic model of inflation, whose
dark matter candidates are primordial black holes carrying a discrete gauge
charge, which originated as a small subset of the inflationary horizon volumes
in the very early universe, can provide the seeds for this early structure
formation. Aspects of the model pointed out long ago suggested an early era of
structure formation, with structures dominated by dark matter. The additional
assumption that the dark matter consists of discretely charged black holes
implies black hole dominance of early structures, which seems to be implied by
JWST data.
|
[
{
"created": "Sun, 18 Feb 2024 09:57:34 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Feb 2024 20:37:15 GMT",
"version": "v2"
},
{
"created": "Mon, 4 Mar 2024 07:02:59 GMT",
"version": "v3"
}
] |
2024-03-05
|
[
[
"Banks",
"Tom",
""
],
[
"Fischler",
"Willy",
""
]
] |
Evidence has accumulated that there are supermassive black holes (SMBHs) in the centers of most galaxies, and that these were formed in the very early universe by some as yet unknown process. In particular, there is evidence [15] that at least some galaxies formed as early as $10^8$ to $10^9$ years after the Big Bang host SMBHs. We suggest that the holographic model of inflation, whose dark matter candidates are primordial black holes carrying a discrete gauge charge, which originated as a small subset of the inflationary horizon volumes in the very early universe, can provide the seeds for this early structure formation. Aspects of the model pointed out long ago suggested an early era of structure formation, with structures dominated by dark matter. The additional assumption that the dark matter consists of discretely charged black holes implies black hole dominance of early structures, which seems to be implied by JWST data.
| 10.881709
| 11.855823
| 10.700503
| 10.563403
| 11.900594
| 12.108229
| 10.891458
| 10.302059
| 10.920172
| 12.316356
| 11.141381
| 10.811131
| 10.756628
| 10.368028
| 11.090199
| 10.871075
| 10.598454
| 10.631997
| 10.633205
| 10.733019
| 10.855019
|
2304.02592
|
Koki Tokeshi
|
Masazumi Honda, Ryusuke Jinno, Lucas Pinol, and Koki Tokeshi
|
Borel resummation of secular divergences in stochastic inflation
|
40 pages, 12 figures
| null | null | null |
hep-th astro-ph.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We make use of Borel resummation to extract the exact time dependence from
the divergent series found in the context of stochastic inflation. Correlation
functions of self-interacting scalar fields in de Sitter spacetime are known to
develop secular IR divergences via loops, and the first terms of the divergent
series have been consistently computed both with standard techniques for curved
spacetime quantum field theory and within the framework of stochastic
inflation. We show that Borel resummation can be used to interpret the
divergent series and to correctly infer the time evolution of the correlation
functions. In practice, we adopt a method called Borel--Pad\'{e} resummation
where we approximate the Borel transformation by a Pad\'{e} approximant. We
also discuss the singularity structures of Borel transformations and mention
possible applications to cosmology.
|
[
{
"created": "Wed, 5 Apr 2023 17:04:28 GMT",
"version": "v1"
}
] |
2023-04-06
|
[
[
"Honda",
"Masazumi",
""
],
[
"Jinno",
"Ryusuke",
""
],
[
"Pinol",
"Lucas",
""
],
[
"Tokeshi",
"Koki",
""
]
] |
We make use of Borel resummation to extract the exact time dependence from the divergent series found in the context of stochastic inflation. Correlation functions of self-interacting scalar fields in de Sitter spacetime are known to develop secular IR divergences via loops, and the first terms of the divergent series have been consistently computed both with standard techniques for curved spacetime quantum field theory and within the framework of stochastic inflation. We show that Borel resummation can be used to interpret the divergent series and to correctly infer the time evolution of the correlation functions. In practice, we adopt a method called Borel--Pad\'{e} resummation where we approximate the Borel transformation by a Pad\'{e} approximant. We also discuss the singularity structures of Borel transformations and mention possible applications to cosmology.
| 8.209695
| 7.642872
| 7.625141
| 7.100252
| 7.798268
| 8.646131
| 7.816428
| 7.677911
| 7.236218
| 8.058542
| 7.661044
| 7.181927
| 7.333777
| 7.251247
| 7.276599
| 7.117451
| 7.294715
| 7.224726
| 7.021409
| 7.482167
| 7.296653
|
hep-th/0502107
|
Jonathan Bagger
|
Jonathan Bagger and Ioannis Giannakis
|
SuperHiggs Mechanism in String Theory
|
Six pages
|
Phys.Rev. D73 (2006) 106002
|
10.1103/PhysRevD.73.106002
| null |
hep-th
| null |
We exhibit the superHiggs effect in heterotic string theory by turning on a
background NS-NS field and deforming the BRST operator consistent with
superconformal invariance. The NS-NS field spontaneously breaks spacetime
supersymmetry. We show how the gravitini and the physical dilatini gain mass by
eating the would-be Goldstone fermions.
|
[
{
"created": "Fri, 11 Feb 2005 02:54:57 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Bagger",
"Jonathan",
""
],
[
"Giannakis",
"Ioannis",
""
]
] |
We exhibit the superHiggs effect in heterotic string theory by turning on a background NS-NS field and deforming the BRST operator consistent with superconformal invariance. The NS-NS field spontaneously breaks spacetime supersymmetry. We show how the gravitini and the physical dilatini gain mass by eating the would-be Goldstone fermions.
| 8.258067
| 7.426329
| 8.409836
| 6.897266
| 7.646459
| 7.536603
| 7.554464
| 7.396191
| 7.792473
| 8.875298
| 7.227686
| 7.953759
| 8.263885
| 7.606254
| 7.481634
| 7.662369
| 7.634955
| 7.980064
| 7.61952
| 8.794771
| 7.836071
|
hep-th/9205107
| null |
John Ellis, N.E. Mavromatos and D.V. Nanopoulos
|
The Origin of Space-Time as $W$ Symmetry Breaking in String Theory
|
13 pages
|
Phys.Lett.B288:23-30,1992
|
10.1016/0370-2693(92)91949-A
| null |
hep-th
| null |
Physics in the neighbourhood of a space-time metric singularity is described
by a world-sheet topological gauge field theory which can be represented as a
twisted $N=2$ superconformal Wess-Zumino model with a $W_{1+\infty} \otimes
W_{1+\infty} $ bosonic symmetry. The measurable $W$-hair associated with the
singularity is associated with Wilson loop integrals around gauge defects. The
breaking of $W_{1+\infty}$ $\otimes $ $W_{1+\infty}$ $\rightarrow $
$W_{1+\infty}$ is associated with expectation values for open Wilson lines that
make the metric non-singular away from the singularity. This symmetry breaking
is accompanied by massless discrete `tachyon' states that appear as leg poles
in $S$-matrix elements. The triviality of the $S$-matrix in the high-energy
limit of the $c=1$ string model, after renormalisation by the leg pole factors,
is due to the restoration of double $W$-symmetry at the singularity.
|
[
{
"created": "Thu, 28 May 1992 22:11:36 GMT",
"version": "v1"
}
] |
2009-09-11
|
[
[
"Ellis",
"John",
""
],
[
"Mavromatos",
"N. E.",
""
],
[
"Nanopoulos",
"D. V.",
""
]
] |
Physics in the neighbourhood of a space-time metric singularity is described by a world-sheet topological gauge field theory which can be represented as a twisted $N=2$ superconformal Wess-Zumino model with a $W_{1+\infty} \otimes W_{1+\infty} $ bosonic symmetry. The measurable $W$-hair associated with the singularity is associated with Wilson loop integrals around gauge defects. The breaking of $W_{1+\infty}$ $\otimes $ $W_{1+\infty}$ $\rightarrow $ $W_{1+\infty}$ is associated with expectation values for open Wilson lines that make the metric non-singular away from the singularity. This symmetry breaking is accompanied by massless discrete `tachyon' states that appear as leg poles in $S$-matrix elements. The triviality of the $S$-matrix in the high-energy limit of the $c=1$ string model, after renormalisation by the leg pole factors, is due to the restoration of double $W$-symmetry at the singularity.
| 8.322507
| 7.725894
| 8.847094
| 7.90857
| 8.180592
| 7.843059
| 7.991332
| 7.850342
| 7.821769
| 8.883283
| 8.065454
| 7.667908
| 7.838498
| 7.688884
| 7.586874
| 7.730797
| 7.613175
| 7.624314
| 7.636918
| 8.251815
| 7.699713
|
hep-th/9611118
|
Ivo Sachs
|
R. Flume, L. O'Raifeartaigh and I. Sachs
|
Brief Resume of Seiberg-Witten Theory
|
10 pages, LaTex
| null | null |
DIAS-STP/96-22
|
hep-th
| null |
Talk presented by the second author at the Inaugural Coference of the Asia
Pacific Center for Theoretical Physics, Seoul, June 1996. The purpose of this
note is to give a resume of the Seiberg-Witten theory in the simplest possible
mathematical terms.
|
[
{
"created": "Fri, 15 Nov 1996 19:18:05 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Flume",
"R.",
""
],
[
"O'Raifeartaigh",
"L.",
""
],
[
"Sachs",
"I.",
""
]
] |
Talk presented by the second author at the Inaugural Coference of the Asia Pacific Center for Theoretical Physics, Seoul, June 1996. The purpose of this note is to give a resume of the Seiberg-Witten theory in the simplest possible mathematical terms.
| 10.577433
| 7.744769
| 9.538173
| 8.955761
| 8.399979
| 8.761806
| 9.232762
| 8.191737
| 7.815446
| 8.481653
| 7.804349
| 8.374259
| 8.701613
| 8.581656
| 7.942671
| 8.097349
| 8.155558
| 8.456916
| 8.510352
| 8.526146
| 7.812
|
hep-th/0509146
|
Reiji Yoshioka
|
Hiroshi Itoyama, Reiji Yoshioka
|
Matrix Orientifolding and Models with Four or Eight Supercharges
|
17pages; references added
|
Phys.Rev. D72 (2005) 126005
|
10.1103/PhysRevD.72.126005
|
OCU-PHYS233
|
hep-th
| null |
The conditions under which matrix orientifolding and supersymmetry
transformations commute are known to be stringent. Here we present the cases
possessing four or eight supercharges upon ${\bf Z}_3$ orbifolding followed by
matrix orientifolding. These cases descend from the matrix models with eight
plus eight supercharges. There are fifty in total, which we enumerate.
|
[
{
"created": "Tue, 20 Sep 2005 03:08:29 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Sep 2005 07:02:23 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Itoyama",
"Hiroshi",
""
],
[
"Yoshioka",
"Reiji",
""
]
] |
The conditions under which matrix orientifolding and supersymmetry transformations commute are known to be stringent. Here we present the cases possessing four or eight supercharges upon ${\bf Z}_3$ orbifolding followed by matrix orientifolding. These cases descend from the matrix models with eight plus eight supercharges. There are fifty in total, which we enumerate.
| 22.229221
| 19.244215
| 23.896353
| 18.451271
| 18.229446
| 18.472731
| 17.957436
| 20.114458
| 18.339579
| 28.619001
| 18.767166
| 19.280027
| 19.802584
| 19.687841
| 19.782293
| 20.328793
| 18.691303
| 20.346069
| 18.848598
| 21.093269
| 19.142883
|
1412.8428
|
Alexander Reshetnyak
|
Alexander A. Reshetnyak
|
On Consistent Lagrangian Quantization of Yang--Mills Theories without
Gribov Copies
|
13 pages, contribution to the Proceedings of QUARKS-2014, June 2-8,
2014, Suzdal, Russia
| null | null | null |
hep-th hep-lat math-ph math.DS math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review the results of our research [A.A. Reshetnyak, IJMPA 29 (2014)
1450184; P.Yu. Moshin, A.A. Reshetnyak, Nucl. Phys. B 888 (2014) 92; P.Yu.
Moshin, A.A. Reshetnyak, Phys. Lett. B 739 (2014) 110; P.Yu. Moshin, A.A.
Reshetnyak, arXiv:1406.5086[hep-th]], devoted to Lagrangian quantization for
gauge theories with soft BRST symmetry breaking, in particular, for various
descriptions of the YM theory without Gribov copies. The cited works rely on
finite BRST and BRST-antiBRST transformations, respectively, with a singlet
$\Lambda$ and a doublet $\lambda_{a}$, $a=1,2$, of anticommuting Grassmann
parameters, both global and field-dependent. It turns out that global finite
BRST and BRST-antiBRST transformations form a 1-parametric and a 2-parametric
Abelian supergroup, respectively. Explicit superdeterminants corresponding to
these changes of variables in the partition function allow one to calculate
precise changes of the respective gauge-fixing functional. These facts provide
the basis for a proof of gauge independence of the corresponding path integral
under respective BRST and BRST-antiBRST transformations. It is shown that the
gauge independence becomes restored for path integrals with soft BRST and
BRST-antiBRST symmetry breaking terms. In this case, the form of transformation
parameters is found to induce a precise change of the gauge in the path
integral, thus connecting two arbitrary $R_{\xi}$-like gauges in the average
effective action. Finite field-dependent BRST-antiBRST transformations are used
to solve (perturbatively) the Gribov problem in the Gribov--Zwanziger approach.
A modification of the path integral for theories with a gauge group, being
consistent with gauge invariance and providing a restriction of the integration
measure to the first Gribov region with a non-vanishing Faddeev--Popov
determinant, is suggested.
|
[
{
"created": "Mon, 29 Dec 2014 19:16:49 GMT",
"version": "v1"
}
] |
2014-12-30
|
[
[
"Reshetnyak",
"Alexander A.",
""
]
] |
We review the results of our research [A.A. Reshetnyak, IJMPA 29 (2014) 1450184; P.Yu. Moshin, A.A. Reshetnyak, Nucl. Phys. B 888 (2014) 92; P.Yu. Moshin, A.A. Reshetnyak, Phys. Lett. B 739 (2014) 110; P.Yu. Moshin, A.A. Reshetnyak, arXiv:1406.5086[hep-th]], devoted to Lagrangian quantization for gauge theories with soft BRST symmetry breaking, in particular, for various descriptions of the YM theory without Gribov copies. The cited works rely on finite BRST and BRST-antiBRST transformations, respectively, with a singlet $\Lambda$ and a doublet $\lambda_{a}$, $a=1,2$, of anticommuting Grassmann parameters, both global and field-dependent. It turns out that global finite BRST and BRST-antiBRST transformations form a 1-parametric and a 2-parametric Abelian supergroup, respectively. Explicit superdeterminants corresponding to these changes of variables in the partition function allow one to calculate precise changes of the respective gauge-fixing functional. These facts provide the basis for a proof of gauge independence of the corresponding path integral under respective BRST and BRST-antiBRST transformations. It is shown that the gauge independence becomes restored for path integrals with soft BRST and BRST-antiBRST symmetry breaking terms. In this case, the form of transformation parameters is found to induce a precise change of the gauge in the path integral, thus connecting two arbitrary $R_{\xi}$-like gauges in the average effective action. Finite field-dependent BRST-antiBRST transformations are used to solve (perturbatively) the Gribov problem in the Gribov--Zwanziger approach. A modification of the path integral for theories with a gauge group, being consistent with gauge invariance and providing a restriction of the integration measure to the first Gribov region with a non-vanishing Faddeev--Popov determinant, is suggested.
| 6.453204
| 5.64523
| 6.764643
| 5.755045
| 5.485596
| 5.530648
| 5.718271
| 5.984119
| 5.981336
| 7.178868
| 5.807433
| 5.976666
| 6.524847
| 6.119823
| 5.989223
| 5.950574
| 6.035673
| 5.962359
| 6.101667
| 6.427065
| 6.040636
|
hep-th/9207086
| null |
M. Caselle, A.D'Adda and S. Panzeri
|
Exact solution of d=1 Kazakov-Migdal induced gauge theory
|
9 pages, Latex file DFTT 38/92 (revised version,with just a couple of
references added)
|
Phys.Lett. B293 (1992) 161-167
|
10.1016/0370-2693(92)91496-V
| null |
hep-th hep-lat
| null |
We give the exact solution of the Kazakov-Migdal induced gauge model in the
case of a D=1 compactified lattice with a generic number $S$ of sites and for
any value of N. Due to the peculiar features of the model, the partition
function that we obtain also describes the vortex-free sector of the D=1
compactified bosonic string, and it coincides in the continuum limit with the
one obtained by Boulatov and Kazakov in this context.
|
[
{
"created": "Mon, 27 Jul 1992 12:30:00 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Aug 1992 14:59:00 GMT",
"version": "v2"
}
] |
2009-10-22
|
[
[
"Caselle",
"M.",
""
],
[
"D'Adda",
"A.",
""
],
[
"Panzeri",
"S.",
""
]
] |
We give the exact solution of the Kazakov-Migdal induced gauge model in the case of a D=1 compactified lattice with a generic number $S$ of sites and for any value of N. Due to the peculiar features of the model, the partition function that we obtain also describes the vortex-free sector of the D=1 compactified bosonic string, and it coincides in the continuum limit with the one obtained by Boulatov and Kazakov in this context.
| 10.751546
| 9.354835
| 10.622712
| 9.045248
| 8.304885
| 9.620245
| 9.481441
| 9.082785
| 9.169455
| 12.108136
| 8.59762
| 9.350064
| 10.810161
| 9.3738
| 9.896291
| 9.396826
| 9.390944
| 9.342243
| 9.504419
| 10.423574
| 9.20999
|
hep-th/9802043
|
Shoichi Ichinose
|
Shoichi Ichinose and Sergei D. Odintsov
|
Conformal Anomaly in 4D Gravity-Matter Theories Non-minimally Coupled
with Dilaton
|
37 pages, Latex, No figure
|
Nucl.Phys.B539:643-670,1999
|
10.1016/S0550-3213(98)00750-0
|
US-98-01
|
hep-th
| null |
The conformal anomaly for 4D gravity-matter theories, which are non-minimally
coupled with the dilaton, is systematically studied. Special care is taken for:
rescaling of fields, treatment of total derivatives, hermiticity of the system
operator and choice of measure. Scalar, spinor and vector fields are taken as
the matter quantum fields and their explicit conformal anomalies in the
gravity-dilaton background are found. The cohomology analysis is done and some
new conformal invariants and trivial terms, involving the dilaton, are
obtained. The symmetry of the constant shift of the dilaton field plays an
important role. The general structure of the conformal anomaly is examined. It
is shown that the dilaton affects the conformal anomaly characteristically for
each case: 1)[Scalar] The dilaton changes the conformal anomaly only by a new
conformal invariant, $I_4$; 2)[Spinor] The dilaton does {\it not} change the
conformal anomaly; 3)[Vector] The dilaton changes the conformal anomaly by
three new (generalized) conformal invariants, $I_4,I_2,I_{1}$. We present some
new anomaly formulae which are useful for practical calculations. Finally, the
anomaly induced action is calculated for the dilatonic Wess-Zumino model. We
point out that the coefficient of the total derivative term in the conformal
anomaly for the 2D scalar coupled to a dilaton is ambiguous. This resolves the
disagreement between calculations in refs.\cite{ENO,NO,SI97,KLV} and the result
of Hawking-Bousso\cite{BH}.
|
[
{
"created": "Sat, 7 Feb 1998 07:21:03 GMT",
"version": "v1"
},
{
"created": "Tue, 12 May 1998 03:27:48 GMT",
"version": "v2"
},
{
"created": "Sat, 4 Jul 1998 04:25:28 GMT",
"version": "v3"
},
{
"created": "Wed, 8 Jul 1998 00:06:41 GMT",
"version": "v4"
},
{
"created": "Sat, 17 Oct 1998 16:34:52 GMT",
"version": "v5"
}
] |
2009-09-17
|
[
[
"Ichinose",
"Shoichi",
""
],
[
"Odintsov",
"Sergei D.",
""
]
] |
The conformal anomaly for 4D gravity-matter theories, which are non-minimally coupled with the dilaton, is systematically studied. Special care is taken for: rescaling of fields, treatment of total derivatives, hermiticity of the system operator and choice of measure. Scalar, spinor and vector fields are taken as the matter quantum fields and their explicit conformal anomalies in the gravity-dilaton background are found. The cohomology analysis is done and some new conformal invariants and trivial terms, involving the dilaton, are obtained. The symmetry of the constant shift of the dilaton field plays an important role. The general structure of the conformal anomaly is examined. It is shown that the dilaton affects the conformal anomaly characteristically for each case: 1)[Scalar] The dilaton changes the conformal anomaly only by a new conformal invariant, $I_4$; 2)[Spinor] The dilaton does {\it not} change the conformal anomaly; 3)[Vector] The dilaton changes the conformal anomaly by three new (generalized) conformal invariants, $I_4,I_2,I_{1}$. We present some new anomaly formulae which are useful for practical calculations. Finally, the anomaly induced action is calculated for the dilatonic Wess-Zumino model. We point out that the coefficient of the total derivative term in the conformal anomaly for the 2D scalar coupled to a dilaton is ambiguous. This resolves the disagreement between calculations in refs.\cite{ENO,NO,SI97,KLV} and the result of Hawking-Bousso\cite{BH}.
| 9.2188
| 9.416389
| 9.390147
| 8.707482
| 9.354573
| 10.133885
| 9.316164
| 9.45778
| 8.824559
| 9.738966
| 8.321705
| 8.628264
| 8.613577
| 8.628233
| 8.576427
| 8.731028
| 8.663741
| 8.777479
| 8.515859
| 8.822666
| 8.651891
|
hep-th/0107059
|
John H. Schwarz
|
John H. Schwarz
|
Anomaly Cancellation: A Retrospective From a Modern Perspective
|
11 pages, Talk presented at ``2001: A Spacetime Odyssey'' -- the
inaugural conference of the Michigan Center for Theoretical Physics
| null |
10.1142/9789812778185_0014
|
CALT-68-2335, CITUSC/01-025
|
hep-th
| null |
The mechanism by which gauge and gravitational anomalies cancel in certain
string theories is reviewed. The presentation is aimed at theorists who do not
necessarily specialize in string theory.
|
[
{
"created": "Mon, 9 Jul 2001 21:51:09 GMT",
"version": "v1"
}
] |
2017-08-23
|
[
[
"Schwarz",
"John H.",
""
]
] |
The mechanism by which gauge and gravitational anomalies cancel in certain string theories is reviewed. The presentation is aimed at theorists who do not necessarily specialize in string theory.
| 12.218412
| 8.134303
| 7.83295
| 7.415156
| 8.186468
| 7.058134
| 7.443521
| 7.47947
| 7.506865
| 9.079176
| 9.118587
| 8.299967
| 9.098347
| 8.780298
| 8.423206
| 8.346004
| 8.494968
| 8.526321
| 8.675119
| 9.083265
| 9.935184
|
hep-th/0307069
|
Hector H. Hernandez
|
Hector H. Hernandez, Hugo A. Morales-Tecotl
|
New Solution of D=11 Supergravity on S^7 from D=4
|
14 pages, LaTex
|
JHEP 0309 (2003) 039
|
10.1088/1126-6708/2003/09/039
| null |
hep-th
| null |
A new static partially twisted solution of N=4, SO(4) gauged supergravity in
D=11 is obtained in this work using Cveti\^c et al embedding of four
dimensional into eleven dimensional supergravities. In four dimensions we get
two solutions: an asymptotic one corresponding to $AdS_4$ and a near horizon
fixed point solution of the form $AdS_2\times H_2$. Hence, while the former
solution has 32 supercharges the latter turns out to have only 4 conserved.
Moreover, we managed to find an exact interpolating solution, thus connecting
the above two. Aiming at a future study of $AdS/CFT$ duality for the theory at
hand we derived the Penrose limit of the four dimensional solutions.
Interestingly the pp-wave limit of the near horizon solution suggests itself as
being of the supernumerary supersymmetric type. In D=11 we exhibit the uplift
of the four dimensional solutions: one associated to $AdS_4\times S^7$ and the
other to a foliation of $AdS_2\times H_2 \times S^7$, as well as their pp-wave
limits.
|
[
{
"created": "Mon, 7 Jul 2003 20:58:58 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Hernandez",
"Hector H.",
""
],
[
"Morales-Tecotl",
"Hugo A.",
""
]
] |
A new static partially twisted solution of N=4, SO(4) gauged supergravity in D=11 is obtained in this work using Cveti\^c et al embedding of four dimensional into eleven dimensional supergravities. In four dimensions we get two solutions: an asymptotic one corresponding to $AdS_4$ and a near horizon fixed point solution of the form $AdS_2\times H_2$. Hence, while the former solution has 32 supercharges the latter turns out to have only 4 conserved. Moreover, we managed to find an exact interpolating solution, thus connecting the above two. Aiming at a future study of $AdS/CFT$ duality for the theory at hand we derived the Penrose limit of the four dimensional solutions. Interestingly the pp-wave limit of the near horizon solution suggests itself as being of the supernumerary supersymmetric type. In D=11 we exhibit the uplift of the four dimensional solutions: one associated to $AdS_4\times S^7$ and the other to a foliation of $AdS_2\times H_2 \times S^7$, as well as their pp-wave limits.
| 9.041455
| 9.131931
| 8.970778
| 8.656764
| 8.985516
| 8.90371
| 8.894255
| 8.971989
| 8.757526
| 9.48871
| 8.520296
| 8.541022
| 8.5299
| 8.675068
| 8.747373
| 8.656493
| 8.745375
| 8.556316
| 8.658067
| 8.616362
| 8.280924
|
2306.14805
|
Hyun-Sik Jeong
|
Hyun-Sik Jeong, Chang-Woo Ji, Keun-Young Kim
|
Pole-Skipping in Rotating BTZ Black Holes
|
41 pages
|
J. High Energ. Phys. 2023, 139 (2023)
|
10.1007/JHEP08(2023)139
|
IFT-UAM/CSIC-23-56
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Motivated by the connection between pole-skipping phenomena of two point
functions and four point out-of-time-order correlators, we study the
pole-skipping phenomena for rotating BTZ black holes. In particular, we
investigate the effect of rotations on the pole-skipping point for various
fields with spin $s = 1/2, 1, 2/3$, extending the previous research for $s=0,
2$. We derive an analytic full tower of the pole-skipping points of fermionic
($s=1/2$) and vector ($s=1$) fields by the exact holographic Green's functions.
For the \textit{non-extremal} black hole, the leading pole-skipping frequency
is $\omega_{\text{leading}}=2\pi i T_h {(s-1+\nu \Omega)}/{(1-\Omega^2)}$ where
$T_h$ is the temperature, $\Omega$ the rotation, and $\nu:=(\Delta_+ -
\Delta_-)/2$, the difference of conformal dimensions ($\Delta_{\pm}$). These
are confirmed by another independent method: the near-horizon analysis. For the
\textit{extremal} black hole, we find that the leading pole-skipping frequency
can occur at $\omega_{\text{leading}}^{\text{extremal}}=-2\pi i T_R {(s+1)}$
only when $\nu = s+1$, where $T_R$ is the temperature of the right moving mode.
It is non-trivial because it cannot be achieved by simply taking the extreme
limit ($T_h\rightarrow 0\,, \Omega\rightarrow 1$) of the non-extremal black
hole result.
|
[
{
"created": "Mon, 26 Jun 2023 16:05:57 GMT",
"version": "v1"
}
] |
2023-08-24
|
[
[
"Jeong",
"Hyun-Sik",
""
],
[
"Ji",
"Chang-Woo",
""
],
[
"Kim",
"Keun-Young",
""
]
] |
Motivated by the connection between pole-skipping phenomena of two point functions and four point out-of-time-order correlators, we study the pole-skipping phenomena for rotating BTZ black holes. In particular, we investigate the effect of rotations on the pole-skipping point for various fields with spin $s = 1/2, 1, 2/3$, extending the previous research for $s=0, 2$. We derive an analytic full tower of the pole-skipping points of fermionic ($s=1/2$) and vector ($s=1$) fields by the exact holographic Green's functions. For the \textit{non-extremal} black hole, the leading pole-skipping frequency is $\omega_{\text{leading}}=2\pi i T_h {(s-1+\nu \Omega)}/{(1-\Omega^2)}$ where $T_h$ is the temperature, $\Omega$ the rotation, and $\nu:=(\Delta_+ - \Delta_-)/2$, the difference of conformal dimensions ($\Delta_{\pm}$). These are confirmed by another independent method: the near-horizon analysis. For the \textit{extremal} black hole, we find that the leading pole-skipping frequency can occur at $\omega_{\text{leading}}^{\text{extremal}}=-2\pi i T_R {(s+1)}$ only when $\nu = s+1$, where $T_R$ is the temperature of the right moving mode. It is non-trivial because it cannot be achieved by simply taking the extreme limit ($T_h\rightarrow 0\,, \Omega\rightarrow 1$) of the non-extremal black hole result.
| 5.733761
| 5.38009
| 6.093528
| 5.301292
| 5.599926
| 5.557091
| 5.462033
| 5.206327
| 5.046289
| 6.373882
| 5.172027
| 5.517383
| 5.637128
| 5.396682
| 5.478836
| 5.560629
| 5.42781
| 5.284023
| 5.449246
| 5.731825
| 5.518766
|
hep-th/0502045
|
Bogus{\l}aw Broda
|
Boguslaw Broda
|
BF system - encyclopedic entry
|
3 pages
|
'Concise Encyclopedia of Supersymmetry And Noncommutative
Structures in Mathematics and Physics', Duplij, S.; Siegel, Warren; Bagger,
Jonathan (Eds.), 2005, pages 53-54
| null | null |
hep-th math-ph math.MP
| null |
The notion of the BF (topological) gauge field theory is defined.
|
[
{
"created": "Thu, 3 Feb 2005 15:49:13 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Broda",
"Boguslaw",
""
]
] |
The notion of the BF (topological) gauge field theory is defined.
| 46.178871
| 19.239105
| 27.536407
| 18.719225
| 19.9466
| 21.254215
| 20.772696
| 22.763004
| 20.502703
| 29.27099
| 20.677469
| 25.112244
| 31.701565
| 25.613108
| 26.005287
| 22.79114
| 23.78857
| 24.261297
| 27.259115
| 35.86668
| 26.626776
|
hep-th/0606083
|
Anamaria Font
|
Anamaria Font, Jose Antonio Lopez
|
A class of non-supersymmetric orientifolds
|
49 pages, Latex
|
JHEP0609:035,2006
|
10.1088/1126-6708/2006/09/035
|
IFT-UAM/CSIC-06-26
|
hep-th
| null |
We study type IIB orientifolds on T^{2d}/Z_N with supersymmetry broken by the
compactification. We determine tadpole cancellation conditions including
anti-branes and considering different actions for the parity Omega. Using these
conditions we then obtain the spectrum of tachyons and massless states. Various
examples with N even correspond to type 0B orientifolds.
|
[
{
"created": "Fri, 9 Jun 2006 09:53:13 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Font",
"Anamaria",
""
],
[
"Lopez",
"Jose Antonio",
""
]
] |
We study type IIB orientifolds on T^{2d}/Z_N with supersymmetry broken by the compactification. We determine tadpole cancellation conditions including anti-branes and considering different actions for the parity Omega. Using these conditions we then obtain the spectrum of tachyons and massless states. Various examples with N even correspond to type 0B orientifolds.
| 15.809489
| 12.054027
| 16.956198
| 13.245981
| 12.979284
| 12.526108
| 12.792169
| 11.747363
| 11.404512
| 19.496149
| 12.175383
| 13.403712
| 15.952251
| 12.719902
| 14.199566
| 13.524682
| 13.188937
| 13.785851
| 13.072398
| 15.259358
| 13.349935
|
hep-th/9708145
|
Rafael I. Nepomechie
|
Anastasia Doikou, Luca Mezincescu and Rafael I. Nepomechie
|
Boundary S Matrix for the XXZ Chain
|
9 pages, LaTeX, no figures
|
J.Phys.A31:53-59,1998
|
10.1088/0305-4470/31/1/010
|
UMTG-199
|
hep-th nlin.SI solv-int
| null |
We compute by means of the Bethe Ansatz the boundary S matrix for the open
anisotropic spin-1/2 chain with diagonal boundary magnetic fields in the
noncritical regime (Delta > 1). Our result, which is formulated in terms of
q-gamma functions, agrees with the vertex-operator result of Jimbo et al.
|
[
{
"created": "Wed, 27 Aug 1997 14:58:15 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Doikou",
"Anastasia",
""
],
[
"Mezincescu",
"Luca",
""
],
[
"Nepomechie",
"Rafael I.",
""
]
] |
We compute by means of the Bethe Ansatz the boundary S matrix for the open anisotropic spin-1/2 chain with diagonal boundary magnetic fields in the noncritical regime (Delta > 1). Our result, which is formulated in terms of q-gamma functions, agrees with the vertex-operator result of Jimbo et al.
| 9.567408
| 7.662764
| 14.491345
| 8.206019
| 8.75931
| 7.196955
| 9.328826
| 8.673569
| 7.690247
| 13.586836
| 7.992683
| 8.278456
| 12.765193
| 8.625348
| 8.642792
| 8.824732
| 8.799075
| 8.895329
| 8.444649
| 12.08195
| 8.491776
|
hep-th/9806241
|
R. Loll
|
J. Ambjorn, J.L. Nielsen, J. Rolf (Niels-Bohr-Institute), R. Loll
(Albert-Einstein-Institute)
|
Euclidean and Lorentzian Quantum Gravity - Lessons from Two Dimensions
|
23 pages, 4 figures
|
Chaos Solitons Fractals 10 (1999) 177-195
|
10.1016/S0960-0779(98)00197-0
|
NBI-HE-98-31, AEI-080
|
hep-th gr-qc hep-lat
| null |
No theory of four-dimensional quantum gravity exists as yet. In this
situation the two-dimensional theory, which can be analyzed by conventional
field-theoretical methods, can serve as a toy model for studying some aspects
of quantum gravity. It represents one of the rare settings in a
quantum-gravitational context where one can calculate quantities truly
independent of any background geometry. We review recent progress in our
understanding of 2d quantum gravity, and in particular the relation between the
Euclidean and Lorentzian sectors of the quantum theory. We show that
conventional 2d Euclidean quantum gravity can be obtained from Lorentzian
quantum gravity by an analytic continuation only if we allow for spatial
topology changes in the latter. Once this is done, one obtains a theory of
quantum gravity where space-time is fractal: the intrinsic Hausdorff dimension
of usual 2d Euclidean quantum gravity is four, and not two. However, certain
aspects of quantum space-time remain two-dimensional, exemplified by the fact
that its so-called spectral dimension is equal to two.
|
[
{
"created": "Tue, 30 Jun 1998 11:25:39 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Ambjorn",
"J.",
"",
"Niels-Bohr-Institute"
],
[
"Nielsen",
"J. L.",
"",
"Niels-Bohr-Institute"
],
[
"Rolf",
"J.",
"",
"Niels-Bohr-Institute"
],
[
"Loll",
"R.",
"",
"Albert-Einstein-Institute"
]
] |
No theory of four-dimensional quantum gravity exists as yet. In this situation the two-dimensional theory, which can be analyzed by conventional field-theoretical methods, can serve as a toy model for studying some aspects of quantum gravity. It represents one of the rare settings in a quantum-gravitational context where one can calculate quantities truly independent of any background geometry. We review recent progress in our understanding of 2d quantum gravity, and in particular the relation between the Euclidean and Lorentzian sectors of the quantum theory. We show that conventional 2d Euclidean quantum gravity can be obtained from Lorentzian quantum gravity by an analytic continuation only if we allow for spatial topology changes in the latter. Once this is done, one obtains a theory of quantum gravity where space-time is fractal: the intrinsic Hausdorff dimension of usual 2d Euclidean quantum gravity is four, and not two. However, certain aspects of quantum space-time remain two-dimensional, exemplified by the fact that its so-called spectral dimension is equal to two.
| 7.057949
| 6.879815
| 7.63813
| 6.753298
| 7.80125
| 7.106418
| 7.096884
| 6.954292
| 6.859391
| 7.738141
| 6.720291
| 6.778957
| 6.860981
| 6.73572
| 6.854169
| 6.90735
| 6.896115
| 6.828932
| 6.797862
| 6.745584
| 6.903248
|
1211.2788
|
Mikhail Bershtein
|
A. A. Belavin, M. A. Bershtein, G. M. Tarnopolsky
|
Bases in coset conformal field theory from AGT correspondence and
Macdonald polynomials at the roots of unity
|
34 pages, v2: references added, misprints corrected; v3: exposition
improved, new section inserted; v4: misprints corrected, Propositions
3.1,3.2,4.1 are called Conjectures, new subsection 5.3 were included,
reference added. Version for JHEP
|
JHEP 1303:019, 2013
|
10.1007/JHEP03(2013)019
| null |
hep-th math-ph math.MP math.QA math.RT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We continue our study of the AGT correspondence between instanton counting on
C^2/Z_p and Conformal field theories with the symmetry algebra A(r,p). In the
cases r=1, p=2 and r=2, p=2 this algebra specialized to: A(1,2)=H+sl(2)_1 and
A(2,2)=H+sl(2)_2+NSR.
As the main tool we use a new construction of the algebra A(r,2) as the limit
of the toroidal gl(1) algebra for q,t tend to -1. We claim that the basis of
the representation of the algebra A(r,2) (or equivalently, of the space of the
local fields of the corresponding CFT) can be expressed through Macdonald
polynomials with the parameters q,t go to -1. The vertex operator which
naturally arises in this construction has factorized matrix elements in this
basis. We also argue that the singular vectors of the $\mathcal{N}=1$ Super
Virasoro algebra can be realized in terms of Macdonald polynomials for a
rectangular Young diagram and parameters q,t tend to -1.
|
[
{
"created": "Mon, 12 Nov 2012 20:51:17 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Nov 2012 05:10:47 GMT",
"version": "v2"
},
{
"created": "Wed, 26 Dec 2012 20:53:54 GMT",
"version": "v3"
},
{
"created": "Thu, 21 Feb 2013 19:37:09 GMT",
"version": "v4"
}
] |
2013-03-18
|
[
[
"Belavin",
"A. A.",
""
],
[
"Bershtein",
"M. A.",
""
],
[
"Tarnopolsky",
"G. M.",
""
]
] |
We continue our study of the AGT correspondence between instanton counting on C^2/Z_p and Conformal field theories with the symmetry algebra A(r,p). In the cases r=1, p=2 and r=2, p=2 this algebra specialized to: A(1,2)=H+sl(2)_1 and A(2,2)=H+sl(2)_2+NSR. As the main tool we use a new construction of the algebra A(r,2) as the limit of the toroidal gl(1) algebra for q,t tend to -1. We claim that the basis of the representation of the algebra A(r,2) (or equivalently, of the space of the local fields of the corresponding CFT) can be expressed through Macdonald polynomials with the parameters q,t go to -1. The vertex operator which naturally arises in this construction has factorized matrix elements in this basis. We also argue that the singular vectors of the $\mathcal{N}=1$ Super Virasoro algebra can be realized in terms of Macdonald polynomials for a rectangular Young diagram and parameters q,t tend to -1.
| 7.858007
| 7.926979
| 9.376503
| 7.740497
| 8.607995
| 8.043675
| 7.735055
| 7.764011
| 7.900861
| 9.707145
| 7.536799
| 7.271563
| 8.047218
| 7.208569
| 7.526788
| 7.348351
| 7.166933
| 7.31908
| 7.435116
| 7.935498
| 7.352462
|
hep-th/0701162
|
J. Navarro-Salas
|
I. Agullo, J. Navarro-Salas and Gonzalo J. Olmo
|
Short distances, black holes, and TeV gravity
|
4 pages. Contribution to the MG11 Meeting (Berlin, July 2006)
| null |
10.1142/9789812834300_0166
| null |
hep-th
| null |
The Hawking effect can be rederived in terms of two-point functions and in
such a way that it makes it possible to estimate, within the conventional
semiclassical theory, the contribution of ultrashort distances at $I^+$ to the
Planckian spectrum. Thermality is preserved for black holes with $\kappa l_P <<
1$. However, deviations from the Planckian spectrum can be found for mini black
holes in TeV gravity scenarios, even before reaching the Planck phase.
|
[
{
"created": "Wed, 17 Jan 2007 22:46:56 GMT",
"version": "v1"
}
] |
2016-11-15
|
[
[
"Agullo",
"I.",
""
],
[
"Navarro-Salas",
"J.",
""
],
[
"Olmo",
"Gonzalo J.",
""
]
] |
The Hawking effect can be rederived in terms of two-point functions and in such a way that it makes it possible to estimate, within the conventional semiclassical theory, the contribution of ultrashort distances at $I^+$ to the Planckian spectrum. Thermality is preserved for black holes with $\kappa l_P << 1$. However, deviations from the Planckian spectrum can be found for mini black holes in TeV gravity scenarios, even before reaching the Planck phase.
| 14.654531
| 11.255208
| 13.373569
| 11.980949
| 13.238811
| 12.455049
| 11.489556
| 11.871218
| 12.877995
| 14.604828
| 11.576393
| 12.532796
| 13.17717
| 12.56555
| 13.42178
| 12.806932
| 12.634387
| 12.349792
| 12.95013
| 13.217993
| 12.978093
|
1105.5926
|
Loriano Bonora
|
L. Bonora, S. Giaccari and D. D. Tolla
|
The energy of the analytic lump solution in SFT
|
45 pages, former section 2 suppressed, Appendix D added, comments and
references added, typos corrected. Erratum added
|
JHEP08(2011)158
|
10.1007/JHEP08(2011)158
|
SISSA/88/2010/EP; YITP-10-112
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In a previous paper a method was proposed to find exact analytic solutions of
open string field theory describing lower dimensional lumps, by incorporating
in string field theory an exact renormalization group flow generated by a
relevant operator in a worldsheet CFT. In this paper we compute the energy of
one such solution, which is expected to represent a D24 brane. We show, both
numerically and analytically, that its value corresponds to the theoretically
expected one.
|
[
{
"created": "Mon, 30 May 2011 10:14:10 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Jun 2011 07:01:35 GMT",
"version": "v2"
},
{
"created": "Mon, 20 Jun 2011 14:23:42 GMT",
"version": "v3"
},
{
"created": "Mon, 4 Jul 2011 12:54:28 GMT",
"version": "v4"
},
{
"created": "Tue, 9 Aug 2011 09:53:34 GMT",
"version": "v5"
},
{
"created": "Wed, 14 Mar 2012 17:04:29 GMT",
"version": "v6"
},
{
"created": "Thu, 1 Aug 2013 14:00:45 GMT",
"version": "v7"
}
] |
2013-08-02
|
[
[
"Bonora",
"L.",
""
],
[
"Giaccari",
"S.",
""
],
[
"Tolla",
"D. D.",
""
]
] |
In a previous paper a method was proposed to find exact analytic solutions of open string field theory describing lower dimensional lumps, by incorporating in string field theory an exact renormalization group flow generated by a relevant operator in a worldsheet CFT. In this paper we compute the energy of one such solution, which is expected to represent a D24 brane. We show, both numerically and analytically, that its value corresponds to the theoretically expected one.
| 11.936784
| 9.132502
| 11.908251
| 9.49843
| 9.653745
| 9.206836
| 9.483512
| 9.352769
| 9.215334
| 12.016944
| 8.937899
| 9.616707
| 11.325645
| 10.215873
| 10.284826
| 10.072856
| 9.921842
| 10.233734
| 10.195476
| 11.01021
| 9.954354
|
hep-th/9501135
|
Ivan Kostov
|
Ivan K. Kostov
|
LOOP SPACE HAMILTONIAN FOR $c \le 1$ OPEN STRINGS
|
15 pages, plain tex, harvmac, no figures
|
Phys.Lett. B349 (1995) 284-293
|
10.1016/0370-2693(95)00292-S
|
SPhT/95-001
|
hep-th
| null |
We construct a string field Hamiltonian describing the dynamics of open and
closed strings with effective target-space dimension $c\le 1 $. In order to do
so, we first derive the Dyson-Schwinger equations for the underlying large $N$
vector+matrix model and formulate them as a set of constraints satisfying
decoupled Virasoro and U(1) current algebras. The Hamiltonian consists of a
bulk and a boundary term having different scaling dimensions. The time
parameters corresponding to the two terms are interpreted from the the point of
view of the fractal geometry of the world surface.
|
[
{
"created": "Mon, 30 Jan 1995 17:43:40 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Kostov",
"Ivan K.",
""
]
] |
We construct a string field Hamiltonian describing the dynamics of open and closed strings with effective target-space dimension $c\le 1 $. In order to do so, we first derive the Dyson-Schwinger equations for the underlying large $N$ vector+matrix model and formulate them as a set of constraints satisfying decoupled Virasoro and U(1) current algebras. The Hamiltonian consists of a bulk and a boundary term having different scaling dimensions. The time parameters corresponding to the two terms are interpreted from the the point of view of the fractal geometry of the world surface.
| 12.381145
| 12.626914
| 13.721768
| 11.591826
| 11.706671
| 12.36624
| 11.954508
| 11.208359
| 11.958693
| 14.783458
| 11.756223
| 11.89344
| 12.563356
| 11.833212
| 11.767164
| 12.159595
| 12.124127
| 12.130012
| 12.321466
| 12.459001
| 11.997071
|
2108.07204
|
Rajesh Gupta
|
Rajesh Kumar Gupta
|
Quench Disorder and Scalar Field Theory in the Presence of Boundary
|
23 pages
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
Disordered systems are interesting for many physical reasons. In this
article, we study the renormalization group property of quenched disorder
systems in the presence of a boundary. We construct examples of scalar field
theories in various dimensions with both classical and quantum disorder
localized at the boundary. We study these theories in $\e$-expansion and
discuss properties of fixed points of the renormalization group flow.
|
[
{
"created": "Mon, 16 Aug 2021 16:18:08 GMT",
"version": "v1"
}
] |
2021-08-17
|
[
[
"Gupta",
"Rajesh Kumar",
""
]
] |
Disordered systems are interesting for many physical reasons. In this article, we study the renormalization group property of quenched disorder systems in the presence of a boundary. We construct examples of scalar field theories in various dimensions with both classical and quantum disorder localized at the boundary. We study these theories in $\e$-expansion and discuss properties of fixed points of the renormalization group flow.
| 11.55888
| 9.976343
| 10.860333
| 9.461032
| 9.844801
| 9.234329
| 9.795532
| 9.764111
| 9.391663
| 11.58748
| 9.884032
| 9.002672
| 9.548951
| 9.2921
| 8.749657
| 8.760365
| 8.838561
| 8.941962
| 9.086651
| 9.837944
| 9.57067
|
hep-th/0304257
|
Mikhail Plyushchay
|
Carlos Leiva and Mikhail S. Plyushchay
|
Superconformal mechanics and nonlinear supersymmetry
|
16 pages; misprints corrected, note and ref added, to appear in JHEP
|
JHEP 0310:069,2003
|
10.1088/1126-6708/2003/10/069
| null |
hep-th math-ph math.MP nlin.SI
| null |
We show that a simple change of the classical boson-fermion coupling
constant, $2\alpha \to 2\alpha n $, $n\in \N$, in the superconformal mechanics
model gives rise to a radical change of a symmetry: the modified classical and
quantum systems are characterized by the nonlinear superconformal symmetry. It
is generated by the four bosonic integrals which form the so(1,2) x u(1)
subalgebra, and by the 2(n+1) fermionic integrals constituting the two spin-n/2
so(1,2)-representations and anticommuting for the order n polynomials of the
even generators. We find that the modified quantum system with an integer value
of the parameter $\alpha$ is described simultaneously by the two nonlinear
superconformal symmetries of the orders relatively shifted in odd number. For
the original quantum model with $|\alpha|=p$, $p\in \N$, this means the
presence of the order 2p nonlinear superconformal symmetry in addition to the
osp(2|2) supersymmetry.
|
[
{
"created": "Wed, 30 Apr 2003 14:40:16 GMT",
"version": "v1"
},
{
"created": "Tue, 6 May 2003 17:12:20 GMT",
"version": "v2"
},
{
"created": "Sat, 8 Nov 2003 23:54:58 GMT",
"version": "v3"
}
] |
2014-11-18
|
[
[
"Leiva",
"Carlos",
""
],
[
"Plyushchay",
"Mikhail S.",
""
]
] |
We show that a simple change of the classical boson-fermion coupling constant, $2\alpha \to 2\alpha n $, $n\in \N$, in the superconformal mechanics model gives rise to a radical change of a symmetry: the modified classical and quantum systems are characterized by the nonlinear superconformal symmetry. It is generated by the four bosonic integrals which form the so(1,2) x u(1) subalgebra, and by the 2(n+1) fermionic integrals constituting the two spin-n/2 so(1,2)-representations and anticommuting for the order n polynomials of the even generators. We find that the modified quantum system with an integer value of the parameter $\alpha$ is described simultaneously by the two nonlinear superconformal symmetries of the orders relatively shifted in odd number. For the original quantum model with $|\alpha|=p$, $p\in \N$, this means the presence of the order 2p nonlinear superconformal symmetry in addition to the osp(2|2) supersymmetry.
| 9.447989
| 9.726496
| 10.842309
| 9.358881
| 9.689721
| 9.527089
| 9.695925
| 9.008663
| 9.218292
| 10.883688
| 9.095453
| 9.230856
| 9.621441
| 9.087196
| 9.231547
| 9.163443
| 9.459312
| 9.170703
| 9.248952
| 9.796387
| 9.133759
|
1402.6356
|
Rutger H. Boels
|
Rutger H. Boels and Tobias Hansen
|
String theory in target space
|
66 pages, many figures
| null |
10.1007/JHEP06(2014)054
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is argued that the complete S-matrix of string theory at tree level in a
flat background can be obtained from a small set of target space properties,
without recourse to the worldsheet description. The main non-standard inputs
are (generalised) Britto-Cachazo-Feng-Witten shifts, as well as the monodromy
relations for open string theory and the Kawai-Lewellen-Tye relations for
closed string theory. The roots of the scattering amplitudes and especially
their appearance in the residues at the kinematic poles are central to the
story. These residues determine the amplitudes through on-shell recursion
relations. Several checks of the formalism are presented, including a
computation of the Koba-Nielsen amplitude in the bosonic string. Furthermore
the question of target space unitarity is (re-)investigated. For the Veneziano
amplitude this question is reduced by Poincare invariance, unitarity and
locality to that of positivity of a particular numerical sum. Interestingly,
this analysis produces the main conditions of the no-ghost theorem on dimension
and intercept from the first three poles of this amplitude.
|
[
{
"created": "Tue, 25 Feb 2014 21:36:19 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"Boels",
"Rutger H.",
""
],
[
"Hansen",
"Tobias",
""
]
] |
It is argued that the complete S-matrix of string theory at tree level in a flat background can be obtained from a small set of target space properties, without recourse to the worldsheet description. The main non-standard inputs are (generalised) Britto-Cachazo-Feng-Witten shifts, as well as the monodromy relations for open string theory and the Kawai-Lewellen-Tye relations for closed string theory. The roots of the scattering amplitudes and especially their appearance in the residues at the kinematic poles are central to the story. These residues determine the amplitudes through on-shell recursion relations. Several checks of the formalism are presented, including a computation of the Koba-Nielsen amplitude in the bosonic string. Furthermore the question of target space unitarity is (re-)investigated. For the Veneziano amplitude this question is reduced by Poincare invariance, unitarity and locality to that of positivity of a particular numerical sum. Interestingly, this analysis produces the main conditions of the no-ghost theorem on dimension and intercept from the first three poles of this amplitude.
| 11.613891
| 11.447075
| 13.151304
| 10.987487
| 11.824892
| 11.559332
| 11.531528
| 11.68098
| 10.982239
| 13.972204
| 10.876776
| 10.866374
| 11.715555
| 10.805051
| 10.970332
| 10.650982
| 11.066113
| 11.224588
| 11.243092
| 11.650157
| 10.800742
|
1306.4405
|
Gerald V. Dunne
|
Gerald V. Dunne and Mithat Unsal
|
Generating Non-perturbative Physics from Perturbation Theory
|
5 pages; 2 figures; published version in PRD
|
Phys. Rev. D 89, 041701(R) (2014)
|
10.1103/PhysRevD.89.041701
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In a large variety of quantum mechanical systems, we show that the full
non-perturbative expression for energy eigenvalues, containing all orders of
perturbative, non-perturbative and quasi-zero-mode terms, may be generated
directly from the perturbative expansion about the perturbative vacuum,
combined with a single global boundary condition. This provides a dramatic
realization of the principle of "resurgence", that the fluctuations about
different semiclassical saddle points are related to one another in a precise
quantitative manner. The analysis of quantum mechanics also generalizes to
certain calculable regimes of quantum field theory.
|
[
{
"created": "Wed, 19 Jun 2013 01:01:36 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Apr 2014 08:00:42 GMT",
"version": "v2"
}
] |
2014-04-04
|
[
[
"Dunne",
"Gerald V.",
""
],
[
"Unsal",
"Mithat",
""
]
] |
In a large variety of quantum mechanical systems, we show that the full non-perturbative expression for energy eigenvalues, containing all orders of perturbative, non-perturbative and quasi-zero-mode terms, may be generated directly from the perturbative expansion about the perturbative vacuum, combined with a single global boundary condition. This provides a dramatic realization of the principle of "resurgence", that the fluctuations about different semiclassical saddle points are related to one another in a precise quantitative manner. The analysis of quantum mechanics also generalizes to certain calculable regimes of quantum field theory.
| 13.734222
| 14.192339
| 11.838161
| 11.799355
| 13.046352
| 12.733878
| 12.122938
| 12.298686
| 11.658418
| 12.616361
| 11.027302
| 12.101337
| 11.91203
| 11.514358
| 11.980039
| 11.71247
| 11.562554
| 11.207773
| 11.900061
| 12.127817
| 11.740676
|
hep-th/9811231
|
Skenderis Kostas
|
Tobias Hurth and Kostas Skenderis
|
The Quantum Noether Condition in terms of interacting fields
|
22 pages, Latex;v2:minor changes, to appear in "New Developments in
Quantum Field Theory", Springer, eds. P. Breitenlohner, D. Maison and J. Wess
|
Lect.Notes Phys.558:86-105,2000
| null |
MPI/PhT-98-85, SPIN-1998/6
|
hep-th hep-ph
| null |
We review our recent work, hep-th/9803030, on the constraints imposed by
global or local symmetries on perturbative quantum field theories. The analysis
is performed in the Bogoliubov-Shirkov-Epstein-Glaser formulation of
perturbative quantum field theory. In this formalism the S-matrix is
constructed directly in the asymptotic Fock space with only input causality and
Poincare invariance. We reformulate the symmetry condition proposed in our
earlier work in terms of interacting Noether currents.
|
[
{
"created": "Fri, 27 Nov 1998 22:40:47 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Nov 1999 01:24:36 GMT",
"version": "v2"
}
] |
2010-02-17
|
[
[
"Hurth",
"Tobias",
""
],
[
"Skenderis",
"Kostas",
""
]
] |
We review our recent work, hep-th/9803030, on the constraints imposed by global or local symmetries on perturbative quantum field theories. The analysis is performed in the Bogoliubov-Shirkov-Epstein-Glaser formulation of perturbative quantum field theory. In this formalism the S-matrix is constructed directly in the asymptotic Fock space with only input causality and Poincare invariance. We reformulate the symmetry condition proposed in our earlier work in terms of interacting Noether currents.
| 8.347968
| 7.141544
| 8.060224
| 7.260741
| 8.082553
| 8.399196
| 7.596292
| 7.340906
| 7.032492
| 9.902539
| 7.052402
| 7.802495
| 7.718705
| 7.363999
| 7.50989
| 7.569404
| 7.228352
| 7.659788
| 7.510485
| 8.048483
| 7.158685
|
1502.06544
|
Vladislav Kupriyanov
|
V.G. Kupriyanov and P. Vitale
|
Noncommutative $R^d$ via closed star product
|
published version
|
JHEP 08 (2015) 024
|
10.1007/JHEP08(2015)024
| null |
hep-th math-ph math.MP math.QA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider linear star products on $R^d$ of Lie algebra type. First we
derive the closed formula for the polydifferential representation of the
corresponding Lie algebra generators. Using this representation we define the
Weyl star product on the dual of the Lie algebra. Then we construct a gauge
operator relating the Weyl star product with the one which is closed with
respect to some trace functional, $Tr( f\star g)= Tr( f\cdot g)$. We introduce
the derivative operator on the algebra of the closed star product and show that
the corresponding Leibnitz rule holds true up to a total derivative. As a
particular example we study the space $R^3_\theta$ with $\mathfrak{su}(2)$ type
noncommutativity and show that in this case the closed star product is the one
obtained from the Duflo quantization map. As a result a Laplacian can be
defined such that its commutative limit reproduces the ordinary commutative
one. The deformed Leibnitz rule is applied to scalar field theory to derive
conservation laws and the corresponding noncommutative currents.
|
[
{
"created": "Mon, 23 Feb 2015 18:40:51 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Aug 2015 18:28:32 GMT",
"version": "v2"
}
] |
2015-08-11
|
[
[
"Kupriyanov",
"V. G.",
""
],
[
"Vitale",
"P.",
""
]
] |
We consider linear star products on $R^d$ of Lie algebra type. First we derive the closed formula for the polydifferential representation of the corresponding Lie algebra generators. Using this representation we define the Weyl star product on the dual of the Lie algebra. Then we construct a gauge operator relating the Weyl star product with the one which is closed with respect to some trace functional, $Tr( f\star g)= Tr( f\cdot g)$. We introduce the derivative operator on the algebra of the closed star product and show that the corresponding Leibnitz rule holds true up to a total derivative. As a particular example we study the space $R^3_\theta$ with $\mathfrak{su}(2)$ type noncommutativity and show that in this case the closed star product is the one obtained from the Duflo quantization map. As a result a Laplacian can be defined such that its commutative limit reproduces the ordinary commutative one. The deformed Leibnitz rule is applied to scalar field theory to derive conservation laws and the corresponding noncommutative currents.
| 8.307034
| 8.026487
| 8.814926
| 8.23375
| 9.031355
| 8.082872
| 8.8532
| 8.742553
| 8.04812
| 9.216711
| 7.946554
| 8.018065
| 8.263781
| 8.043088
| 8.167881
| 8.058484
| 8.406813
| 7.944955
| 8.171237
| 8.188102
| 8.065969
|
hep-th/0310072
|
Paolo Aschieri
|
P. Aschieri, J. Madore, P. Manousselis, G. Zoupanos
|
Dimensional Reduction over Fuzzy Coset Spaces
|
Latex, 23 pages, 1 reference added, 1 reference updated. Final
version, improved presentation and organization of the paper, in particular
Section 3.1
|
JHEP 0404 (2004) 034
|
10.1088/1126-6708/2004/04/034
|
Cern-Th/2003-047
|
hep-th hep-ph
| null |
We examine gauge theories on Minkowski space-time times fuzzy coset spaces.
This means that the extra space dimensions instead of being a continuous coset
space S/R are a corresponding finite matrix approximation. The gauge theory
defined on this non-commutative setup is reduced to four dimensions and the
rules of the corresponding dimensional reduction are established. We
investigate in particular the case of the fuzzy sphere including the
dimensional reduction of fermion fields.
|
[
{
"created": "Wed, 8 Oct 2003 01:17:23 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Oct 2003 13:03:17 GMT",
"version": "v2"
},
{
"created": "Tue, 4 May 2004 21:58:27 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Aschieri",
"P.",
""
],
[
"Madore",
"J.",
""
],
[
"Manousselis",
"P.",
""
],
[
"Zoupanos",
"G.",
""
]
] |
We examine gauge theories on Minkowski space-time times fuzzy coset spaces. This means that the extra space dimensions instead of being a continuous coset space S/R are a corresponding finite matrix approximation. The gauge theory defined on this non-commutative setup is reduced to four dimensions and the rules of the corresponding dimensional reduction are established. We investigate in particular the case of the fuzzy sphere including the dimensional reduction of fermion fields.
| 15.459133
| 13.096185
| 16.507776
| 14.168561
| 15.222687
| 15.594826
| 15.331692
| 13.128416
| 13.847471
| 18.041067
| 13.982656
| 14.897979
| 15.959475
| 15.069933
| 15.628063
| 15.206611
| 14.950779
| 14.590447
| 14.041285
| 15.591383
| 14.914998
|
1205.2886
|
Rolf Schimmrigk
|
Rolf Schimmrigk
|
K-Rational D-Brane Crystals
|
36 pages
|
International Journal of Modern Physics A27 (2012) 1250112 (26
pages)
|
10.1142/S0217751X12501126
|
CERN-PH-TH/2012-118
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper the problem of constructing spacetime from string theory is
addressed in the context of D-brane physics. It is suggested that the knowledge
of discrete configurations of D-branes is sufficient to reconstruct the motivic
building blocks of certain Calabi-Yau varieties. The collections of D-branes
involved have algebraic base points, leading to the notion of K-arithmetic
D-crystals for algebraic number fields K. This idea can be tested for D0-branes
in the framework of toroidal compactifications via the conjectures of Birch and
Swinnerton-Dyer. For the special class of D0-crystals of Heegner type these
conjectures can be interpreted as formulae that relate the canonical Neron-Tate
height of the base points of the D-crystals to special values of the motivic
L-function at the central point. In simple cases the knowledge of the
D-crystals of Heegner type suffices to uniquely determine the geometry.
|
[
{
"created": "Sun, 13 May 2012 17:40:35 GMT",
"version": "v1"
}
] |
2013-12-30
|
[
[
"Schimmrigk",
"Rolf",
""
]
] |
In this paper the problem of constructing spacetime from string theory is addressed in the context of D-brane physics. It is suggested that the knowledge of discrete configurations of D-branes is sufficient to reconstruct the motivic building blocks of certain Calabi-Yau varieties. The collections of D-branes involved have algebraic base points, leading to the notion of K-arithmetic D-crystals for algebraic number fields K. This idea can be tested for D0-branes in the framework of toroidal compactifications via the conjectures of Birch and Swinnerton-Dyer. For the special class of D0-crystals of Heegner type these conjectures can be interpreted as formulae that relate the canonical Neron-Tate height of the base points of the D-crystals to special values of the motivic L-function at the central point. In simple cases the knowledge of the D-crystals of Heegner type suffices to uniquely determine the geometry.
| 9.844976
| 10.681745
| 10.756429
| 9.527757
| 10.351136
| 12.524969
| 9.755438
| 9.798784
| 9.366212
| 11.114977
| 9.524018
| 9.544627
| 9.950444
| 9.677843
| 9.203229
| 9.244423
| 9.453359
| 9.706989
| 9.455229
| 10.026531
| 9.25985
|
1802.07138
|
Peter M. Lavrov
|
I. L. Buchbinder, P. M. Lavrov
|
BRST-BV quantization of gauge theories with global symmetries
|
16 pages, v2: references added
| null |
10.1140/epjc/s10052-018-6003-x
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the general gauge theory with a closed irreducible gauge algebra
possessing the non-anomalous global (super)symmetry in the case when the gauge
fixing procedure violates the global invariance of classical action. The theory
is quantized in the framework of BRST-BV approach in the form of functional
integral over all fields of the configuration space. It is shown that the
global symmetry transformations are deformed in the process of quantization and
the full quantum action is invariant under such deformed global transformations
in the configuration space. The deformed global transformations are calculated
in an explicit form in the one-loop approximation.
|
[
{
"created": "Tue, 20 Feb 2018 14:50:41 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Feb 2018 15:28:20 GMT",
"version": "v2"
}
] |
2018-08-01
|
[
[
"Buchbinder",
"I. L.",
""
],
[
"Lavrov",
"P. M.",
""
]
] |
We consider the general gauge theory with a closed irreducible gauge algebra possessing the non-anomalous global (super)symmetry in the case when the gauge fixing procedure violates the global invariance of classical action. The theory is quantized in the framework of BRST-BV approach in the form of functional integral over all fields of the configuration space. It is shown that the global symmetry transformations are deformed in the process of quantization and the full quantum action is invariant under such deformed global transformations in the configuration space. The deformed global transformations are calculated in an explicit form in the one-loop approximation.
| 7.58315
| 7.098084
| 7.928258
| 6.832903
| 6.524669
| 7.011573
| 6.906167
| 7.166251
| 6.789745
| 8.542424
| 6.432122
| 7.220062
| 7.279898
| 7.134671
| 7.154527
| 7.180447
| 7.093623
| 7.240242
| 7.099871
| 7.46154
| 7.107453
|
hep-th/0106086
|
Elcio Abdalla
|
Bin Wang, Elcio Abdalla and Ru-Keng Su
|
Friedmann equation and Cardy formula correspondence in brane universes
|
latex file, 11 pages
|
Mod.Phys.Lett. A17 (2002) 23-30
|
10.1142/S0217732302006114
| null |
hep-th
| null |
We study the brane with arbitrary tension $\sigma$ on the edge of various
black holes with AdS asymptotics. We investigate Friedmann equations governing
the motion of the brane universes and match the Friedmann equation to Cardy
entropy formula.
|
[
{
"created": "Mon, 11 Jun 2001 17:42:45 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Wang",
"Bin",
""
],
[
"Abdalla",
"Elcio",
""
],
[
"Su",
"Ru-Keng",
""
]
] |
We study the brane with arbitrary tension $\sigma$ on the edge of various black holes with AdS asymptotics. We investigate Friedmann equations governing the motion of the brane universes and match the Friedmann equation to Cardy entropy formula.
| 20.006681
| 14.601607
| 19.175653
| 16.045521
| 18.184589
| 14.723173
| 14.921468
| 15.527313
| 15.204329
| 20.090244
| 15.086189
| 16.485876
| 17.860716
| 17.037231
| 17.612942
| 18.089745
| 16.51819
| 17.634548
| 17.106625
| 17.878349
| 17.188187
|
1004.5356
|
Sudipta Das
|
Sudipta Das, Subir Ghosh and Salvatore Mignemi
|
Noncommutative Spacetime in Very Special Relativity
|
15 pages, no figures, change in Title and Abstract, paper completely
rewritten, no change in mathematical results and conclusion; to appear in
Phys. Lett. A
| null |
10.1016/j.physleta.2011.07.024
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Very Special Relativity (VSR) framework, proposed by Cohen and Glashow [1],
demonstrated that a proper subgroup of the Poincar\'e group, (in particular
ISIM(2)), is sufficient to describe the spacetime symmetries of the so far
observed physical phenomena. Subsequently a deformation of the latter,
$DISIM_b(2)$, was suggested by Gibbons, Gomis and Pope [2]. In the present
work, we introduce a novel Non-Commutative (NC) spacetime structure, underlying
the $DISIM_b(2)$. This allows us to construct explicitly the $DISIM_b(2)$
generators, consisting of a sector of Lorentz rotation generators and the
translation generators. Exploiting the Darboux map technique, we construct a
point particle Lagrangian that lives in the NC phase space proposed by us and
satisfies the modified dispersion relation proposed by Gibbons et. al. [2]. It
is interesting to note that in our formulation the momentum algebra becomes
non-commutative.
|
[
{
"created": "Thu, 29 Apr 2010 18:19:43 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Jan 2011 10:29:47 GMT",
"version": "v2"
},
{
"created": "Thu, 21 Jul 2011 05:52:48 GMT",
"version": "v3"
}
] |
2015-05-18
|
[
[
"Das",
"Sudipta",
""
],
[
"Ghosh",
"Subir",
""
],
[
"Mignemi",
"Salvatore",
""
]
] |
Very Special Relativity (VSR) framework, proposed by Cohen and Glashow [1], demonstrated that a proper subgroup of the Poincar\'e group, (in particular ISIM(2)), is sufficient to describe the spacetime symmetries of the so far observed physical phenomena. Subsequently a deformation of the latter, $DISIM_b(2)$, was suggested by Gibbons, Gomis and Pope [2]. In the present work, we introduce a novel Non-Commutative (NC) spacetime structure, underlying the $DISIM_b(2)$. This allows us to construct explicitly the $DISIM_b(2)$ generators, consisting of a sector of Lorentz rotation generators and the translation generators. Exploiting the Darboux map technique, we construct a point particle Lagrangian that lives in the NC phase space proposed by us and satisfies the modified dispersion relation proposed by Gibbons et. al. [2]. It is interesting to note that in our formulation the momentum algebra becomes non-commutative.
| 8.288344
| 8.174015
| 7.917863
| 7.958786
| 8.000626
| 7.972744
| 8.336987
| 7.473214
| 7.93626
| 9.535265
| 7.688457
| 7.7349
| 7.681383
| 7.499591
| 7.731538
| 7.639939
| 7.738022
| 7.858365
| 7.819146
| 7.9305
| 7.84153
|
0804.3916
|
Lee Peng Teo
|
S.C. Lim and L.P. Teo
|
Finite temperature Casimir energy in closed rectangular cavities: a
rigorous derivation based on zeta function technique
|
32 pages
|
J. Phys. A: Math. Theor. 40 (2007), 11645-11674.
|
10.1088/1751-8113/40/38/014
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive rigorously explicit formulas of the Casimir free energy at finite
temperature for massless scalar field and electromagnetic field confined in a
closed rectangular cavity with different boundary conditions by zeta
regularization method. We study both the low and high temperature expansions of
the free energy. In each case, we write the free energy as a sum of a
polynomial in temperature plus exponentially decay terms. We show that the free
energy is always a decreasing function of temperature. In the cases of massless
scalar field with Dirichlet boundary condition and electromagnetic field, the
zero temperature Casimir free energy might be positive. In each of these cases,
there is a unique transition temperature (as a function of the side lengths of
the cavity) where the Casimir energy change from positive to negative. When the
space dimension is equal to two and three, we show graphically the dependence
of this transition temperature on the side lengths of the cavity. Finally we
also show that we can obtain the results for a non-closed rectangular cavity by
letting the size of some directions of a closed cavity going to infinity, and
we find that these results agree with the usual integration prescription
adopted by other authors.
|
[
{
"created": "Thu, 24 Apr 2008 12:29:22 GMT",
"version": "v1"
}
] |
2009-11-13
|
[
[
"Lim",
"S. C.",
""
],
[
"Teo",
"L. P.",
""
]
] |
We derive rigorously explicit formulas of the Casimir free energy at finite temperature for massless scalar field and electromagnetic field confined in a closed rectangular cavity with different boundary conditions by zeta regularization method. We study both the low and high temperature expansions of the free energy. In each case, we write the free energy as a sum of a polynomial in temperature plus exponentially decay terms. We show that the free energy is always a decreasing function of temperature. In the cases of massless scalar field with Dirichlet boundary condition and electromagnetic field, the zero temperature Casimir free energy might be positive. In each of these cases, there is a unique transition temperature (as a function of the side lengths of the cavity) where the Casimir energy change from positive to negative. When the space dimension is equal to two and three, we show graphically the dependence of this transition temperature on the side lengths of the cavity. Finally we also show that we can obtain the results for a non-closed rectangular cavity by letting the size of some directions of a closed cavity going to infinity, and we find that these results agree with the usual integration prescription adopted by other authors.
| 5.998849
| 6.52689
| 6.912879
| 6.172467
| 6.71298
| 6.422807
| 6.031509
| 6.171861
| 6.079179
| 6.920923
| 5.886568
| 6.161438
| 6.394518
| 6.14313
| 6.192811
| 6.139065
| 6.251657
| 6.054176
| 6.055705
| 6.114635
| 5.874812
|
hep-th/0403085
|
Gregory Korchemsky
|
A.V. Belitsky, S.E. Derkachov, G.P. Korchemsky, A.N. Manashov
|
Quantum integrability in (super) Yang-Mills theory on the light-cone
|
18 pages, 1 figure; replaced with correct revised version
|
Phys.Lett. B594 (2004) 385-401
|
10.1016/j.physletb.2004.04.092
|
LPT-Orsay-04-18, RUB-TP2-01/04, DOE/ER/40762-303, UMD-PP#04-025
|
hep-th hep-ph nlin.SI
| null |
We employ the light-cone formalism to construct in the (super) Yang-Mills
theories in the multi-color limit the one-loop dilatation operator acting on
single trace products of chiral superfields separated by light-like distances.
In the N=4 Yang-Mills theory it exhausts all Wilson operators of the maximal
Lorentz spin while in nonsupersymmetric Yang-Mills theory it is restricted to
the sector of maximal helicity gluonic operators. We show that the dilatation
operator in all N-extended super Yang-Mills theories is given by the same
integral operator which acts on the (N+1)-dimensional superspace and is
invariant under the SL(2|N) superconformal transformations. We construct the
R-matrix on this space and identify the dilatation operator as the Hamiltonian
of the Heisenberg SL(2|N) spin chain.
|
[
{
"created": "Mon, 8 Mar 2004 11:41:08 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Mar 2004 10:52:01 GMT",
"version": "v2"
},
{
"created": "Sun, 26 Dec 2004 18:30:25 GMT",
"version": "v3"
},
{
"created": "Mon, 27 Dec 2004 22:49:12 GMT",
"version": "v4"
}
] |
2010-04-05
|
[
[
"Belitsky",
"A. V.",
""
],
[
"Derkachov",
"S. E.",
""
],
[
"Korchemsky",
"G. P.",
""
],
[
"Manashov",
"A. N.",
""
]
] |
We employ the light-cone formalism to construct in the (super) Yang-Mills theories in the multi-color limit the one-loop dilatation operator acting on single trace products of chiral superfields separated by light-like distances. In the N=4 Yang-Mills theory it exhausts all Wilson operators of the maximal Lorentz spin while in nonsupersymmetric Yang-Mills theory it is restricted to the sector of maximal helicity gluonic operators. We show that the dilatation operator in all N-extended super Yang-Mills theories is given by the same integral operator which acts on the (N+1)-dimensional superspace and is invariant under the SL(2|N) superconformal transformations. We construct the R-matrix on this space and identify the dilatation operator as the Hamiltonian of the Heisenberg SL(2|N) spin chain.
| 7.160106
| 6.709954
| 8.157228
| 6.319458
| 6.347474
| 6.720999
| 6.939905
| 6.420211
| 6.339649
| 8.527725
| 6.616245
| 6.628668
| 7.149906
| 6.630205
| 6.703084
| 6.725579
| 6.759122
| 6.689651
| 6.881732
| 7.424802
| 6.660316
|
hep-th/9804155
|
Larry Horwitz
|
L.P. Horwitz
|
Second Quantization of the Stueckelberg Relativistic Quantum Theory and
Associated Gauge Fields
|
Plain TeX, 9 pages
| null | null |
TAUP-2490-98
|
hep-th
| null |
The gauge compensation fields induced by the differential operators of the
Stueckelberg-Schr\"odinger equation are discussed, as well as the relation
between these fields and the standard Maxwell fields. An action is constructed
and the second quantization of the fields carried out using a constraint
procedure. Some remarks are made on the properties of the second quantized
matter fields.
|
[
{
"created": "Thu, 23 Apr 1998 12:27:33 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Horwitz",
"L. P.",
""
]
] |
The gauge compensation fields induced by the differential operators of the Stueckelberg-Schr\"odinger equation are discussed, as well as the relation between these fields and the standard Maxwell fields. An action is constructed and the second quantization of the fields carried out using a constraint procedure. Some remarks are made on the properties of the second quantized matter fields.
| 13.08504
| 14.735034
| 12.717382
| 12.278845
| 13.272999
| 11.742763
| 12.364891
| 12.283216
| 12.294963
| 12.798526
| 11.830622
| 12.214689
| 11.896072
| 11.617101
| 11.926148
| 11.547888
| 11.377075
| 11.767241
| 11.578344
| 11.739112
| 11.979047
|
1604.05092
|
K. Narayan
|
Kedar S. Kolekar, Debangshu Mukherjee, K. Narayan
|
Hyperscaling violation and the shear diffusion constant
|
Latex, 17pgs, v3: clarifications added on z<2+d_{eff} and standard
quantization, to be published
| null |
10.1016/j.physletb.2016.06.046
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider holographic theories in bulk $(d+1)$-dimensions with Lifshitz and
hyperscaling violating exponents $z,\theta$ at finite temperature. By studying
shear gravitational modes in the near-horizon region given certain
self-consistent approximations, we obtain the corresponding shear diffusion
constant on an appropriately defined stretched horizon, adapting the analysis
of Kovtun, Son and Starinets. For generic exponents with $d-z-\theta>-1$, we
find that the diffusion constant has power law scaling with the temperature,
motivating us to guess a universal relation for the viscosity bound. When the
exponents satisfy $d-z-\theta=-1$, we find logarithmic behaviour. This relation
is equivalent to $z=2+d_{eff}$ where $d_{eff}=d_i-\theta$ is the effective
boundary spatial dimension (and $d_i=d-1$ the actual spatial dimension). It is
satisfied by the exponents in hyperscaling violating theories arising from null
reductions of highly boosted black branes, and we comment on the corresponding
analysis in that context.
|
[
{
"created": "Mon, 18 Apr 2016 11:18:22 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Apr 2016 10:54:44 GMT",
"version": "v2"
},
{
"created": "Mon, 20 Jun 2016 11:18:04 GMT",
"version": "v3"
}
] |
2016-08-03
|
[
[
"Kolekar",
"Kedar S.",
""
],
[
"Mukherjee",
"Debangshu",
""
],
[
"Narayan",
"K.",
""
]
] |
We consider holographic theories in bulk $(d+1)$-dimensions with Lifshitz and hyperscaling violating exponents $z,\theta$ at finite temperature. By studying shear gravitational modes in the near-horizon region given certain self-consistent approximations, we obtain the corresponding shear diffusion constant on an appropriately defined stretched horizon, adapting the analysis of Kovtun, Son and Starinets. For generic exponents with $d-z-\theta>-1$, we find that the diffusion constant has power law scaling with the temperature, motivating us to guess a universal relation for the viscosity bound. When the exponents satisfy $d-z-\theta=-1$, we find logarithmic behaviour. This relation is equivalent to $z=2+d_{eff}$ where $d_{eff}=d_i-\theta$ is the effective boundary spatial dimension (and $d_i=d-1$ the actual spatial dimension). It is satisfied by the exponents in hyperscaling violating theories arising from null reductions of highly boosted black branes, and we comment on the corresponding analysis in that context.
| 10.280244
| 9.516997
| 11.378659
| 9.312527
| 11.129737
| 10.637869
| 10.29223
| 9.2683
| 9.419705
| 11.567574
| 9.127571
| 9.583028
| 10.40489
| 9.614249
| 10.011482
| 9.791439
| 9.808007
| 9.950131
| 9.43824
| 10.158105
| 9.787058
|
hep-th/0204138
|
Kazuki Ohmori
|
Kazuki Ohmori
|
Comments on Solutions of Vacuum Superstring Field Theory
|
1+21 pages, no figures. v2:Some expressions in eqs.(4.11)-(5.4) have
been corrected, with our main conclusions unchanged
|
JHEP 0204 (2002) 059
|
10.1088/1126-6708/2002/04/059
|
UT-02-18
|
hep-th
| null |
We study classical solutions of vacuum version of Berkovits' superstring
field theory, focusing on the (super)ghost sector. We first argue that the
supersliver state which is annihilated by eta_0, though it has the correct
quantum numbers and solves the equation of motion, is actually
non-perturbatively pure-gauge, and hence it fails to describe a D-brane. As a
step toward the construction of non-trivial solutions, we calculate
e^{-Phi}Qe^{Phi} for twisted superslivers. As a by-product, we find that the
bc-twisted sliver solution in bosonic VSFT can, at least formally, also be
written as a pure-gauge configuration.
|
[
{
"created": "Wed, 17 Apr 2002 11:08:39 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Aug 2002 13:24:04 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Ohmori",
"Kazuki",
""
]
] |
We study classical solutions of vacuum version of Berkovits' superstring field theory, focusing on the (super)ghost sector. We first argue that the supersliver state which is annihilated by eta_0, though it has the correct quantum numbers and solves the equation of motion, is actually non-perturbatively pure-gauge, and hence it fails to describe a D-brane. As a step toward the construction of non-trivial solutions, we calculate e^{-Phi}Qe^{Phi} for twisted superslivers. As a by-product, we find that the bc-twisted sliver solution in bosonic VSFT can, at least formally, also be written as a pure-gauge configuration.
| 12.493836
| 12.323142
| 14.851796
| 11.325994
| 12.503914
| 12.052732
| 11.195481
| 12.292058
| 10.870966
| 17.270409
| 11.290624
| 12.423182
| 12.407073
| 12.044078
| 12.05553
| 11.653463
| 11.605559
| 12.116231
| 12.009878
| 12.963604
| 11.573722
|
2309.03272
|
Jerome Quintin
|
Jean-Luc Lehners, Jerome Quintin
|
A small Universe
|
9 pages, 6 figures; v2: minor changes and references added, matches
published version
|
Phys. Lett. B 850 (2024) 138488
|
10.1016/j.physletb.2024.138488
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Many cosmological models assume or imply that the total size of the universe
is very large, perhaps even infinite. Here we argue instead that the universe
might be comparatively small, in fact not much larger than the currently
observed size. A concrete implementation of this idea is provided by the
no-boundary proposal, in combination with a plateau-shaped inflationary
potential. In this model, opposing effects of the weighting of the wave
function and of the criterion of allowability of the geometries conspire to
favour small universes. We point out that a small size of the universe also
fits well with swampland conjectures, and we comment on the relation with the
dark dimension scenario.
|
[
{
"created": "Wed, 6 Sep 2023 18:00:02 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Feb 2024 16:48:22 GMT",
"version": "v2"
}
] |
2024-02-05
|
[
[
"Lehners",
"Jean-Luc",
""
],
[
"Quintin",
"Jerome",
""
]
] |
Many cosmological models assume or imply that the total size of the universe is very large, perhaps even infinite. Here we argue instead that the universe might be comparatively small, in fact not much larger than the currently observed size. A concrete implementation of this idea is provided by the no-boundary proposal, in combination with a plateau-shaped inflationary potential. In this model, opposing effects of the weighting of the wave function and of the criterion of allowability of the geometries conspire to favour small universes. We point out that a small size of the universe also fits well with swampland conjectures, and we comment on the relation with the dark dimension scenario.
| 10.125319
| 8.994526
| 9.386259
| 9.023313
| 9.350069
| 8.83325
| 9.020626
| 8.583621
| 8.509069
| 10.349337
| 8.966362
| 9.807816
| 9.419566
| 9.232054
| 9.296237
| 9.214643
| 9.45426
| 9.28891
| 9.461024
| 9.443485
| 9.504588
|
2107.08485
|
W.D. van Suijlekom
|
Teun D.H. van Nuland and Walter D. van Suijlekom
|
One-loop corrections to the spectral action
|
15 pages; minor corrections made
| null |
10.1007/JHEP05(2022)078
| null |
hep-th math.QA
|
http://creativecommons.org/licenses/by/4.0/
|
We analyze the perturbative quantization of the spectral action in
noncommutative geometry and establish its one-loop renormalizability in a
generalized sense, while staying within the spectral framework of
noncommutative geometry. Our result is based on the perturbative expansion of
the spectral action in terms of higher Yang-Mills and Chern-Simons forms. In
the spirit of random noncommutative geometries, we consider the path integral
over matrix fluctuations around a fixed noncommutative gauge background and
show that the corresponding one-loop counterterms are of the same form so that
they can be safely subtracted from the spectral action. A crucial role will be
played by the appropriate Ward identities, allowing for a fully spectral
formulation of the quantum theory at one loop.
|
[
{
"created": "Sun, 18 Jul 2021 16:23:38 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Oct 2021 12:00:33 GMT",
"version": "v2"
}
] |
2022-06-01
|
[
[
"van Nuland",
"Teun D. H.",
""
],
[
"van Suijlekom",
"Walter D.",
""
]
] |
We analyze the perturbative quantization of the spectral action in noncommutative geometry and establish its one-loop renormalizability in a generalized sense, while staying within the spectral framework of noncommutative geometry. Our result is based on the perturbative expansion of the spectral action in terms of higher Yang-Mills and Chern-Simons forms. In the spirit of random noncommutative geometries, we consider the path integral over matrix fluctuations around a fixed noncommutative gauge background and show that the corresponding one-loop counterterms are of the same form so that they can be safely subtracted from the spectral action. A crucial role will be played by the appropriate Ward identities, allowing for a fully spectral formulation of the quantum theory at one loop.
| 7.63414
| 7.170297
| 8.109774
| 7.485129
| 7.439277
| 7.553082
| 6.944145
| 7.582534
| 7.618867
| 8.296081
| 7.355311
| 7.560931
| 7.822092
| 7.533534
| 7.534288
| 7.56931
| 7.273904
| 7.378307
| 7.57089
| 7.690307
| 7.545586
|
hep-th/9512082
| null |
E. Sezgin
|
Super p-Form Charges and a Reformulation of the Supermembrane Action in
Eleven Dimensions
|
11 pages, LaTex, Contribution to the Leuven Workshop, July 1995
| null | null |
CTP TAMU-49/95
|
hep-th
| null |
We discuss an extension of the super-Poincar\'e algebra in $D=11$ which
includes an extra fermionic charge and super two-form charges. We give a
geometrical reformulation of the $D=11$ supermembrane action which is
manifestly invariant under the extended super-Poincar\'e transformations. Using
the same set of transformations, we also reformulate a superstring action in
$D=11$, considered sometime ago by Curtright. While this paper is primarily a
review of a recent work by Bergshoeff and the author, it does contain some new
results.
|
[
{
"created": "Tue, 12 Dec 1995 00:10:19 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Sezgin",
"E.",
""
]
] |
We discuss an extension of the super-Poincar\'e algebra in $D=11$ which includes an extra fermionic charge and super two-form charges. We give a geometrical reformulation of the $D=11$ supermembrane action which is manifestly invariant under the extended super-Poincar\'e transformations. Using the same set of transformations, we also reformulate a superstring action in $D=11$, considered sometime ago by Curtright. While this paper is primarily a review of a recent work by Bergshoeff and the author, it does contain some new results.
| 8.037356
| 7.332874
| 7.848976
| 7.274945
| 7.488711
| 7.454906
| 7.262554
| 7.018942
| 6.860163
| 7.854843
| 6.92088
| 6.955441
| 7.61118
| 7.529734
| 6.999453
| 7.135155
| 7.360859
| 7.034166
| 7.273696
| 7.695175
| 7.353112
|
1805.08621
|
Mohammad Reza Setare
|
M. R. Setare and H. Adami
|
Entropy formula in Einstein-Maxwell-Dilaton theory and its validity for
black strings
|
15 pages. arXiv admin note: substantial text overlap with
arXiv:1802.04665
|
Phys. Rev. D 98, 084015 (2018)
|
10.1103/PhysRevD.98.084015
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider near horizon fall-off conditions of stationary black holes in
Einstein-Maxwell-Dilaton theory and find conserved charge conjugate to symmetry
generator that preserves near horizon fall-off conditions. Subsequently, we
find supertranslation, superrotation and multiple-charge modes. We apply the
obtained results on a typical static dilaton black hole and on a charged
rotating black string, as examples. In this case, supertranslation
double-zero-mode charge $\mathcal{T}_{(0,0)}$ is not equal to black hole
entropy times Hawking temperature. This may be seen as a problem but it is not,
because, in Einstein-Maxwell-Dilaton theory, we have a U(1) gauge freedom and
we use an appropriate gauge fixing to fix that problem. We show that new
entropy formula $4 \pi \hat{J}^{+}_{0} \hat{J}^{-}_{0}$, proposed in \cite{17},
is valid for black strings as well as black holes.
|
[
{
"created": "Sun, 20 May 2018 06:57:12 GMT",
"version": "v1"
}
] |
2018-10-17
|
[
[
"Setare",
"M. R.",
""
],
[
"Adami",
"H.",
""
]
] |
We consider near horizon fall-off conditions of stationary black holes in Einstein-Maxwell-Dilaton theory and find conserved charge conjugate to symmetry generator that preserves near horizon fall-off conditions. Subsequently, we find supertranslation, superrotation and multiple-charge modes. We apply the obtained results on a typical static dilaton black hole and on a charged rotating black string, as examples. In this case, supertranslation double-zero-mode charge $\mathcal{T}_{(0,0)}$ is not equal to black hole entropy times Hawking temperature. This may be seen as a problem but it is not, because, in Einstein-Maxwell-Dilaton theory, we have a U(1) gauge freedom and we use an appropriate gauge fixing to fix that problem. We show that new entropy formula $4 \pi \hat{J}^{+}_{0} \hat{J}^{-}_{0}$, proposed in \cite{17}, is valid for black strings as well as black holes.
| 11.236651
| 10.656108
| 11.632965
| 10.468163
| 11.065411
| 10.428735
| 10.662395
| 9.841899
| 10.987875
| 11.763955
| 10.980692
| 10.860077
| 10.639434
| 10.5411
| 11.097839
| 11.169217
| 11.0383
| 10.610164
| 10.435644
| 11.177019
| 10.956777
|
hep-th/0108181
|
Naofumi Kitsunezaki
|
Naofumi Kitsunezaki, Shozo Uehara
|
Large-N behaviors of the IIB matrix model and the regularized Schild
models
|
7 pages, 4 figures: minor changes, references added, to appear in
JHEP
|
JHEP 0110:033,2001
|
10.1088/1126-6708/2001/10/033
| null |
hep-th
| null |
We evaluate $N$ dependences of correlation functions in the bosonic part of
the IIB matrix model by the Monte Carlo method. We also evaluate those in two
sorts of regularized Schild models and find that the $N$ dependences are
different from those in the matrix model. In particular, the distribution of
the eigenvalues are logarithmically divergent in the regularized Schild model
when $g^2N$ is fixed.
|
[
{
"created": "Fri, 24 Aug 2001 10:25:24 GMT",
"version": "v1"
},
{
"created": "Sun, 26 Aug 2001 09:35:06 GMT",
"version": "v2"
},
{
"created": "Tue, 30 Oct 2001 09:32:44 GMT",
"version": "v3"
}
] |
2010-02-03
|
[
[
"Kitsunezaki",
"Naofumi",
""
],
[
"Uehara",
"Shozo",
""
]
] |
We evaluate $N$ dependences of correlation functions in the bosonic part of the IIB matrix model by the Monte Carlo method. We also evaluate those in two sorts of regularized Schild models and find that the $N$ dependences are different from those in the matrix model. In particular, the distribution of the eigenvalues are logarithmically divergent in the regularized Schild model when $g^2N$ is fixed.
| 8.36245
| 7.988883
| 8.994079
| 7.4408
| 7.278192
| 7.573856
| 8.052471
| 7.502504
| 7.772791
| 9.517699
| 7.217071
| 7.561369
| 8.275922
| 7.472141
| 7.238051
| 7.152105
| 7.311167
| 7.024217
| 7.967548
| 8.555884
| 7.306137
|
1406.1521
|
Yasuaki Hikida
|
Thomas Creutzig, Yasuaki Hikida and Peter B. Ronne
|
Higher spin AdS_3 holography with extended supersymmetry
|
44 pages, published version
| null |
10.1007/JHEP10(2014)163
|
RUP-14-9
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a holographic duality between a higher spin AdS_3 gravity with
so(p) extended supersymmetry and a large N limit of a 2-dimensional
Grassmannian-like model with a specific critical level k=N and a non-diagonal
modular invariant. As evidence, we show the match of one-loop partition
functions. Moreover, we construct symmetry generators of the coset model for
low spins which are dual to gauge fields in the supergravity. Further, we
discuss a possible relation to superstring theory by noticing an N=3
supersymmetry of critical level model at finite k,N. In particular, we examine
BPS states and marginal deformations. Inspired by the supergravity side, we
also propose and test another large N CFT dual obtained as a Z_2 automorphism
truncation of a similar coset model, but at a non-critical level.
|
[
{
"created": "Thu, 5 Jun 2014 20:58:04 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Oct 2014 07:30:29 GMT",
"version": "v2"
}
] |
2015-06-19
|
[
[
"Creutzig",
"Thomas",
""
],
[
"Hikida",
"Yasuaki",
""
],
[
"Ronne",
"Peter B.",
""
]
] |
We propose a holographic duality between a higher spin AdS_3 gravity with so(p) extended supersymmetry and a large N limit of a 2-dimensional Grassmannian-like model with a specific critical level k=N and a non-diagonal modular invariant. As evidence, we show the match of one-loop partition functions. Moreover, we construct symmetry generators of the coset model for low spins which are dual to gauge fields in the supergravity. Further, we discuss a possible relation to superstring theory by noticing an N=3 supersymmetry of critical level model at finite k,N. In particular, we examine BPS states and marginal deformations. Inspired by the supergravity side, we also propose and test another large N CFT dual obtained as a Z_2 automorphism truncation of a similar coset model, but at a non-critical level.
| 12.884805
| 13.524965
| 15.831061
| 12.562851
| 14.256167
| 13.973555
| 12.794514
| 13.369224
| 12.541638
| 16.758795
| 12.670998
| 12.679967
| 14.673845
| 12.662632
| 12.943841
| 12.758183
| 13.002458
| 12.719796
| 12.972546
| 14.113475
| 12.277841
|
2303.10037
|
Leonardo Pipolo de Gioia
|
Leonardo Pipolo de Gioia and Ana-Maria Raclariu
|
Celestial Sector in CFT: Conformally Soft Symmetries
|
38 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that time intervals of width $\Delta \tau$ in 3-dimensional conformal
field theories (CFT$_3$) on the Lorentzian cylinder admit an infinite
dimensional symmetry enhancement in the limit $\Delta \tau \rightarrow 0$. The
associated vector fields are approximate solutions to the conformal Killing
equations in the strip labelled by a function and a conformal Killing vector on
the sphere. An Inonu-Wigner contraction yields a set of symmetry generators
obeying the extended BMS$_4$ algebra. We analyze the shadow stress tensor Ward
identities in CFT$_d$ on the Lorentzian cylinder with all operator insertions
in infinitesimal time intervals separated by $\pi$. We demonstrate that both
the leading and subleading conformally soft graviton theorems in
$(d-1)$-dimensional celestial CFT (CCFT$_{d-1}$) can be recovered from the
transverse traceless components of these Ward identities in the limit $\Delta
\tau \rightarrow 0$. A similar construction allows for the leading conformally
soft gluon theorem in CCFT$_{d-1}$ to be recovered from shadow current Ward
identities in CFT$_d$.
|
[
{
"created": "Fri, 17 Mar 2023 15:07:13 GMT",
"version": "v1"
}
] |
2023-03-20
|
[
[
"de Gioia",
"Leonardo Pipolo",
""
],
[
"Raclariu",
"Ana-Maria",
""
]
] |
We show that time intervals of width $\Delta \tau$ in 3-dimensional conformal field theories (CFT$_3$) on the Lorentzian cylinder admit an infinite dimensional symmetry enhancement in the limit $\Delta \tau \rightarrow 0$. The associated vector fields are approximate solutions to the conformal Killing equations in the strip labelled by a function and a conformal Killing vector on the sphere. An Inonu-Wigner contraction yields a set of symmetry generators obeying the extended BMS$_4$ algebra. We analyze the shadow stress tensor Ward identities in CFT$_d$ on the Lorentzian cylinder with all operator insertions in infinitesimal time intervals separated by $\pi$. We demonstrate that both the leading and subleading conformally soft graviton theorems in $(d-1)$-dimensional celestial CFT (CCFT$_{d-1}$) can be recovered from the transverse traceless components of these Ward identities in the limit $\Delta \tau \rightarrow 0$. A similar construction allows for the leading conformally soft gluon theorem in CCFT$_{d-1}$ to be recovered from shadow current Ward identities in CFT$_d$.
| 7.510175
| 7.878045
| 8.956807
| 7.411031
| 7.735333
| 7.543645
| 7.899573
| 7.199916
| 7.301222
| 9.814627
| 7.146944
| 7.413087
| 7.657768
| 7.420895
| 7.370974
| 7.407099
| 7.463654
| 7.775167
| 7.394496
| 7.885193
| 7.026861
|
hep-th/9411116
|
Denis Dalmazi
|
D.Dalmazi and A. de Souza Dutra
|
Free Relativistic Anyons with Canonical Spin Algebra
|
Complete version with references
|
Phys.Lett. B343 (1995) 225-230
|
10.1016/0370-2693(94)01445-I
| null |
hep-th
| null |
We discuss a relativistic free particle with fractional spin in 2+1
dimensions, where the dual spin components satisfy the canonical angular
momentum algebra $\left\{ S_\mu , S_\nu \right\}\,=\,\epsilon_{\mu \nu
\gamma}S^\gamma $. It is shown that it is a general consequence of these
features that the Poincar\`e invariance is broken down to the Lorentz one, so
indicating that it is not possible to keep simultaneously the free nature of
the anyon and the translational invariance.
|
[
{
"created": "Thu, 10 Nov 1994 17:28:13 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Nov 1994 10:02:19 GMT",
"version": "v2"
},
{
"created": "Thu, 1 Dec 1994 16:49:28 GMT",
"version": "v3"
}
] |
2009-10-28
|
[
[
"Dalmazi",
"D.",
""
],
[
"Dutra",
"A. de Souza",
""
]
] |
We discuss a relativistic free particle with fractional spin in 2+1 dimensions, where the dual spin components satisfy the canonical angular momentum algebra $\left\{ S_\mu , S_\nu \right\}\,=\,\epsilon_{\mu \nu \gamma}S^\gamma $. It is shown that it is a general consequence of these features that the Poincar\`e invariance is broken down to the Lorentz one, so indicating that it is not possible to keep simultaneously the free nature of the anyon and the translational invariance.
| 8.566317
| 8.889736
| 8.196835
| 8.363373
| 7.603229
| 8.176657
| 8.421782
| 8.097093
| 8.471978
| 9.728553
| 8.285077
| 7.923302
| 8.254095
| 7.960693
| 8.022772
| 7.787838
| 7.945781
| 7.88845
| 7.92042
| 8.506252
| 7.737733
|
1308.0982
|
Dr. Sudhaker Upadhyay
|
Sudhaker Upadhyay
|
Finite field dependent BRST transformations and its applications to
gauge field theories
|
108 pages, Ph.D. Thesis (Supervisor: Prof. B. P.Mandal)
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Becchi-Rouet-Stora and Tyutin (BRST) transformation plays a crucial role
in the quantization of gauge theories. The BRST transformation is also very
important tool in characterizing the various renormalizable field theoretic
models. The generalization of the usual BRST transformation, by making the
infinitesimal global parameter finite and field dependent, is commonly known as
the finite field dependent BRST (FFBRST) transformation. In this thesis, we
have extended the FFBRST transformation in an auxiliary field formulation and
have developed both on-shell and off-shell FF-anti-BRST transformations. The
different aspects of such transformation are studied in Batalin-Vilkovisky (BV)
formulation. FFBRST transformation has further been used to study the
celebrated Gribov problem and to analyze the constrained dynamics in gauge
theories. A new finite field dependent symmetry (combination of FFBRST and
FF-anti-BRST) transformation has been invented. The FFBRST transformation is
shown useful in connection of first-class constrained theory to that of
second-class also. Further, we have applied the Batalin-Fradkin-Vilkovisky
(BFV) technique to quantize a field theoretic model in the Hamiltonian
framework. The Hodge de Rham theorem for differential geometry has also been
studied in such context.
|
[
{
"created": "Mon, 5 Aug 2013 13:45:04 GMT",
"version": "v1"
}
] |
2013-08-06
|
[
[
"Upadhyay",
"Sudhaker",
""
]
] |
The Becchi-Rouet-Stora and Tyutin (BRST) transformation plays a crucial role in the quantization of gauge theories. The BRST transformation is also very important tool in characterizing the various renormalizable field theoretic models. The generalization of the usual BRST transformation, by making the infinitesimal global parameter finite and field dependent, is commonly known as the finite field dependent BRST (FFBRST) transformation. In this thesis, we have extended the FFBRST transformation in an auxiliary field formulation and have developed both on-shell and off-shell FF-anti-BRST transformations. The different aspects of such transformation are studied in Batalin-Vilkovisky (BV) formulation. FFBRST transformation has further been used to study the celebrated Gribov problem and to analyze the constrained dynamics in gauge theories. A new finite field dependent symmetry (combination of FFBRST and FF-anti-BRST) transformation has been invented. The FFBRST transformation is shown useful in connection of first-class constrained theory to that of second-class also. Further, we have applied the Batalin-Fradkin-Vilkovisky (BFV) technique to quantize a field theoretic model in the Hamiltonian framework. The Hodge de Rham theorem for differential geometry has also been studied in such context.
| 7.383346
| 7.450797
| 7.911306
| 7.165615
| 7.27996
| 7.292578
| 7.823834
| 7.668637
| 7.366377
| 8.622458
| 6.911598
| 6.893202
| 7.366
| 7.283484
| 7.190052
| 7.136435
| 6.837722
| 6.943407
| 7.091997
| 7.508692
| 6.948734
|
hep-th/9809007
|
Chien-hao Liu
|
Chien-Hao Liu (UT-Austin)
|
On the Global Structure of Some Natural Fibrations of Joyce Manifolds
|
36 pages
| null | null |
ut-ma/980011
|
hep-th math.DG math.GT
| null |
The study of fibrations of the target manifolds of string/M/F-theories has
provided many insights to the dualities among these theories or even as a tool
to build up dualities since the work of Strominger, Yau, and Zaslow on the
Calabi-Yau case. For M-theory compactified on a Joyce manifold $M^7$, the fact
that $M^7$ is constructed via a generalized Kummer construction on a 7-torus
${\smallBbb T}^7$ with a torsion-free $G_2$-structure $\phi$ suggests that
there are natural fibrations of $M^7$ by ${\smallBbb T}^3$, ${\smallBbb T}^4$,
and K3 surfaces in a way governed by $\phi$. The local picture of some of these
fibrations and their roles in dualities between string/M-theory have been
studied intensively in the work of Acharya. In this present work, we explain
how one can understand their global and topological details in terms of bundles
over orbifolds. After the essential background is provided in Sec. 1, we give
general discussions in Sec. 2 about these fibrations, their generic and
exceptional fibers, their monodromy, and the base orbifolds. Based on these,
one obtains a 5-step-routine to understand the fibrations, which we illustrate
by examples in Sec. 3. In Sec. 4, we turn to another kind of fibrations for
Joyce manifolds, namely the fibrations by the Calabi-Yau threefolds constructed
by Borcea and Voisin. All these fibrations arise freely and naturally from the
work of Joyce. Understanding how the global structure of these fibrations may
play roles in string/M-theory duality is one of the major issues for further
pursuit.
|
[
{
"created": "Tue, 1 Sep 1998 19:51:56 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Liu",
"Chien-Hao",
"",
"UT-Austin"
]
] |
The study of fibrations of the target manifolds of string/M/F-theories has provided many insights to the dualities among these theories or even as a tool to build up dualities since the work of Strominger, Yau, and Zaslow on the Calabi-Yau case. For M-theory compactified on a Joyce manifold $M^7$, the fact that $M^7$ is constructed via a generalized Kummer construction on a 7-torus ${\smallBbb T}^7$ with a torsion-free $G_2$-structure $\phi$ suggests that there are natural fibrations of $M^7$ by ${\smallBbb T}^3$, ${\smallBbb T}^4$, and K3 surfaces in a way governed by $\phi$. The local picture of some of these fibrations and their roles in dualities between string/M-theory have been studied intensively in the work of Acharya. In this present work, we explain how one can understand their global and topological details in terms of bundles over orbifolds. After the essential background is provided in Sec. 1, we give general discussions in Sec. 2 about these fibrations, their generic and exceptional fibers, their monodromy, and the base orbifolds. Based on these, one obtains a 5-step-routine to understand the fibrations, which we illustrate by examples in Sec. 3. In Sec. 4, we turn to another kind of fibrations for Joyce manifolds, namely the fibrations by the Calabi-Yau threefolds constructed by Borcea and Voisin. All these fibrations arise freely and naturally from the work of Joyce. Understanding how the global structure of these fibrations may play roles in string/M-theory duality is one of the major issues for further pursuit.
| 7.232555
| 8.056052
| 8.405257
| 7.86837
| 8.163399
| 7.899673
| 8.45726
| 7.977649
| 7.918283
| 8.717679
| 7.320555
| 7.151331
| 7.436768
| 7.274022
| 7.414085
| 7.209194
| 7.380159
| 7.26865
| 7.147892
| 7.549003
| 7.177004
|
hep-th/0506061
|
Kunihito Uzawa
|
Kunihito Uzawa, Kentaroh Yoshida
|
Discrete Light-Cone Quantization in PP-Wave Background
|
11pages, LaTeX, to appear in Phys. Lett. B
|
Phys.Lett. B619 (2005) 333-339
|
10.1016/j.physletb.2005.06.018
| null |
hep-th
| null |
We discuss the discrete light-cone quantization (DLCQ) of a scalar field
theory on the maximally supersymmetric pp-wave background in ten dimensions. It
has been shown that the DLCQ can be carried out in the same way as in the
two-dimensional Minkowski spacetime. Then, the vacuum energy is computed by
evaluating the vacuum expectation value of the light-cone Hamiltonian. The
results are consistent with the effective potential obtained in our previous
work [hep-th/0402028].
|
[
{
"created": "Wed, 8 Jun 2005 05:00:39 GMT",
"version": "v1"
}
] |
2010-04-05
|
[
[
"Uzawa",
"Kunihito",
""
],
[
"Yoshida",
"Kentaroh",
""
]
] |
We discuss the discrete light-cone quantization (DLCQ) of a scalar field theory on the maximally supersymmetric pp-wave background in ten dimensions. It has been shown that the DLCQ can be carried out in the same way as in the two-dimensional Minkowski spacetime. Then, the vacuum energy is computed by evaluating the vacuum expectation value of the light-cone Hamiltonian. The results are consistent with the effective potential obtained in our previous work [hep-th/0402028].
| 6.046216
| 5.158982
| 5.459832
| 5.023486
| 4.959329
| 5.003334
| 5.109646
| 4.857837
| 4.919322
| 5.96242
| 4.856134
| 5.264193
| 5.517159
| 5.176049
| 5.139855
| 5.099987
| 5.181658
| 5.369615
| 5.155116
| 5.523452
| 5.100839
|
hep-th/0612022
|
Jaume Gomis
|
Jaume Gomis and Filippo Passerini
|
Wilson Loops as D3-Branes
|
14 pages, harvmac
|
JHEP 0701:097,2007
|
10.1088/1126-6708/2007/01/097
| null |
hep-th
| null |
We prove that the half-BPS Wilson loop operator of N=4 SYM in a symmetric
representation of the gauge group has a bulk gravitational description in terms
of a single D3-brane in AdS_5xS^5, as argued in hep-th/0604007. We also show
that a half-BPS Wilson loop operator in an arbitrary representation is
described by the D3-brane configuration proposed in hep-th/0604007. This is
demonstrated by explicitly integrating out the degrees of freedom on the
D3-branes and showing that they insert a half-BPS Wilson loop operator into the
N=4 SYM path integral in the desired representation.
|
[
{
"created": "Mon, 4 Dec 2006 15:56:02 GMT",
"version": "v1"
}
] |
2010-10-27
|
[
[
"Gomis",
"Jaume",
""
],
[
"Passerini",
"Filippo",
""
]
] |
We prove that the half-BPS Wilson loop operator of N=4 SYM in a symmetric representation of the gauge group has a bulk gravitational description in terms of a single D3-brane in AdS_5xS^5, as argued in hep-th/0604007. We also show that a half-BPS Wilson loop operator in an arbitrary representation is described by the D3-brane configuration proposed in hep-th/0604007. This is demonstrated by explicitly integrating out the degrees of freedom on the D3-branes and showing that they insert a half-BPS Wilson loop operator into the N=4 SYM path integral in the desired representation.
| 4.853663
| 4.492119
| 5.509846
| 4.428708
| 4.725575
| 4.900705
| 4.630215
| 4.894055
| 4.753071
| 5.785324
| 4.503582
| 4.779301
| 5.005154
| 4.540873
| 4.441111
| 4.55071
| 4.461668
| 4.530385
| 4.460419
| 4.840853
| 4.473727
|
1510.07650
|
Bitan Roy
|
Bitan Roy, Vladimir Juricic, Igor F. Herbut
|
Emergent Lorentz symmetry near fermionic quantum critical points in two
and three dimensions
|
19 pages, 4 figures: Published version, added discussion, new
references, typos corrected
|
JHEP 04, 018 (2016)
|
10.1007/JHEP04(2016)018
| null |
hep-th cond-mat.stat-mech cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the renormalization group flow of the velocities in the field theory
describing the coupling of the massless quasi-relativistic fermions to the
bosons through the Yukawa coupling, as well as with both bosons and fermions
coupled to a fluctuating $U(1)$ gauge field in two and three spatial
dimensions. Different versions of this theory describe quantum critical
behavior of interacting Dirac fermions in various condensed-matter systems. We
perform an analysis using one-loop $\epsilon-$expansion about three spatial
dimensions, which is the upper critical dimension in the problem. In two
dimensions, we find that velocities of both charged fermions and bosons
ultimately flow to the velocity of light, independently of the initial
conditions, the number of fermionic and bosonic flavors, and the value of the
couplings at the critical point. In three dimensions, due to the analyticity of
the gauge field propagator, both the $U(1)$ charge and the velocity of light
flow, which leads to a richer behavior than in two dimensions. We show that all
three velocities ultimately flow to a common terminal velocity, which is
non-universal and different from the original velocity of light. Therefore,
emergence of the Lorentz symmetry in the ultimate infrared regime seems to be a
rather universal feature of this class of theories in both two and three
dimensions.
|
[
{
"created": "Mon, 26 Oct 2015 20:21:03 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Apr 2016 20:07:04 GMT",
"version": "v2"
}
] |
2016-04-13
|
[
[
"Roy",
"Bitan",
""
],
[
"Juricic",
"Vladimir",
""
],
[
"Herbut",
"Igor F.",
""
]
] |
We study the renormalization group flow of the velocities in the field theory describing the coupling of the massless quasi-relativistic fermions to the bosons through the Yukawa coupling, as well as with both bosons and fermions coupled to a fluctuating $U(1)$ gauge field in two and three spatial dimensions. Different versions of this theory describe quantum critical behavior of interacting Dirac fermions in various condensed-matter systems. We perform an analysis using one-loop $\epsilon-$expansion about three spatial dimensions, which is the upper critical dimension in the problem. In two dimensions, we find that velocities of both charged fermions and bosons ultimately flow to the velocity of light, independently of the initial conditions, the number of fermionic and bosonic flavors, and the value of the couplings at the critical point. In three dimensions, due to the analyticity of the gauge field propagator, both the $U(1)$ charge and the velocity of light flow, which leads to a richer behavior than in two dimensions. We show that all three velocities ultimately flow to a common terminal velocity, which is non-universal and different from the original velocity of light. Therefore, emergence of the Lorentz symmetry in the ultimate infrared regime seems to be a rather universal feature of this class of theories in both two and three dimensions.
| 7.407906
| 8.029753
| 7.868368
| 7.408597
| 7.838595
| 7.70987
| 7.500212
| 8.194254
| 7.30581
| 8.737953
| 7.083213
| 7.274465
| 7.146921
| 7.087921
| 7.101809
| 7.189451
| 7.331132
| 7.199588
| 7.229874
| 7.255587
| 7.083957
|
hep-th/0003079
|
Turko
|
Ludwik Turko and Jan Rafelski
|
Dynamics of Multiparticle Systems with non - Abelian Symmetry
|
Minor claryfying correstions and improving of references were done.
Accepted for publication in EPJ C
|
Eur.Phys.J.C18:587-592,2001
|
10.1007/s100520000534
| null |
hep-th
| null |
We consider the dynamics governing the evolution of a many body system
constrained by an nonabelian local symmetry. We obtain explicit forms of the
global macroscopic condition assuring that at the microscopic level the
evolution respects the overall symmetry constraint. We demonstrate the
constraint mechanisms for the case of SU(2) system comprising particles in
fundamental, and adjoint representations (`nucleons' and `pions').
|
[
{
"created": "Fri, 10 Mar 2000 15:08:33 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Oct 2000 14:18:26 GMT",
"version": "v2"
}
] |
2009-01-07
|
[
[
"Turko",
"Ludwik",
""
],
[
"Rafelski",
"Jan",
""
]
] |
We consider the dynamics governing the evolution of a many body system constrained by an nonabelian local symmetry. We obtain explicit forms of the global macroscopic condition assuring that at the microscopic level the evolution respects the overall symmetry constraint. We demonstrate the constraint mechanisms for the case of SU(2) system comprising particles in fundamental, and adjoint representations (`nucleons' and `pions').
| 26.455997
| 21.743896
| 25.810011
| 21.982929
| 25.81123
| 22.549429
| 22.851099
| 22.848871
| 20.591026
| 27.770338
| 23.64044
| 24.120995
| 23.548922
| 23.568199
| 23.95962
| 24.729799
| 24.473299
| 24.327456
| 23.38208
| 23.654907
| 22.76852
|
hep-th/9207109
|
T. Jayaraman
|
S. Govindarajan, T. Jayaraman and V. John
|
Chiral Rings and Physical States in c<1 String Theory
|
20 pages, harvmac, 4 figures (drawn using LaTeX appended to the end
of the file), IMSc--92/30
|
Nucl.Phys. B402 (1993) 118-138
|
10.1016/0550-3213(93)90638-6
| null |
hep-th
| null |
We show how the double cohomology of the String and Felder BRST charges
naturally leads to the ring structure of $c<1$ strings. The chiral ring is a
ring of polynomials in two variables modulo an equivalence relation of the form
$x^p \simeq y^{p+1}$ for the (p+1,p) model. We also study the states
corresponding to the edges of the conformal grid whose inclusion is crucial for
the closure of the ring. We introduce candidate operators that correspond to
the observables of the matrix models. Their existence is motivated by the
relation of one of the screening operators of the minimal model to the zero
momentum dilaton.
|
[
{
"created": "Thu, 30 Jul 1992 15:26:28 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Govindarajan",
"S.",
""
],
[
"Jayaraman",
"T.",
""
],
[
"John",
"V.",
""
]
] |
We show how the double cohomology of the String and Felder BRST charges naturally leads to the ring structure of $c<1$ strings. The chiral ring is a ring of polynomials in two variables modulo an equivalence relation of the form $x^p \simeq y^{p+1}$ for the (p+1,p) model. We also study the states corresponding to the edges of the conformal grid whose inclusion is crucial for the closure of the ring. We introduce candidate operators that correspond to the observables of the matrix models. Their existence is motivated by the relation of one of the screening operators of the minimal model to the zero momentum dilaton.
| 17.819452
| 14.397831
| 16.987339
| 13.646338
| 16.580978
| 14.188658
| 13.881663
| 14.010536
| 14.200737
| 21.029528
| 13.851175
| 14.54198
| 16.780394
| 15.125972
| 15.671671
| 14.908951
| 15.226353
| 14.950501
| 14.944935
| 17.092474
| 15.258384
|
hep-th/0201240
|
Nicholas Read
|
N. Read
|
Nonabelian braid statistics versus projective permutation statistics
|
4 pages, RevTeX. v. 2: added refs and some small changes
|
J.Math.Phys.44:558-563,2003
|
10.1063/1.1530369
| null |
hep-th cond-mat.mes-hall quant-ph
| null |
Recent papers by Finkelstein, Galiautdinov, and coworkers {[J. Math. Phys.
42, 1489, 3299 (2001)]} discuss a suggestion by Wilczek that nonabelian
projective representations of the permutation group can be used as a new type
of particle statistics, valid in any dimension. Wilczek's suggestion was based
in part on an analysis by Nayak and Wilczek (NW) of the nonabelian
representation of the braid group in a quantum Hall system. We point out that
projective permutation statistics is not possible in a local quantum field
theory as it violates locality, and show that the NW braid group representation
is not equivalent to a projective representation of the permutation group. The
structure of the finite image of the braid group in a 2^{n/2-1}-dimensional
representation is obtained.
|
[
{
"created": "Tue, 29 Jan 2002 18:32:42 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Oct 2002 19:03:41 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Read",
"N.",
""
]
] |
Recent papers by Finkelstein, Galiautdinov, and coworkers {[J. Math. Phys. 42, 1489, 3299 (2001)]} discuss a suggestion by Wilczek that nonabelian projective representations of the permutation group can be used as a new type of particle statistics, valid in any dimension. Wilczek's suggestion was based in part on an analysis by Nayak and Wilczek (NW) of the nonabelian representation of the braid group in a quantum Hall system. We point out that projective permutation statistics is not possible in a local quantum field theory as it violates locality, and show that the NW braid group representation is not equivalent to a projective representation of the permutation group. The structure of the finite image of the braid group in a 2^{n/2-1}-dimensional representation is obtained.
| 9.451509
| 10.666931
| 9.3865
| 9.89513
| 10.704968
| 10.097352
| 10.606494
| 10.779825
| 9.347392
| 10.628111
| 9.633603
| 8.559353
| 8.99642
| 8.737512
| 8.873556
| 8.698427
| 8.832825
| 8.700615
| 8.467261
| 9.046462
| 8.496872
|
1808.10457
|
Leslaw Rachwal
|
Leslaw Rachwal
|
Conformal Symmetry in Field Theory and in Quantum Gravity
|
44 pages, review, journal version, Best Paper Award in Special Issue
"Gravity, Black Holes and Cosmology XXI"
|
Universe 2018, 4(11), 125
|
10.3390/universe4110125
| null |
hep-th gr-qc math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Conformal symmetry always played an important role in field theory (both
quantum and classical) and in gravity. We present construction of quantum
conformal gravity and discuss its features regarding scattering amplitudes and
quantum effective action. First, the long and complicated story of
UV-divergences is recalled. With the development of UV-finite higher derivative
(or non-local) gravitational theory, all problems with infinities and spacetime
singularities are solved. Moreover, the non-local quantum conformal theory
reveals itself to be ghost-free, so the unitarity of the theory is safe. After
the construction of UV-finite theory, we focused on making it manifestly
conformally invariant using the dilaton trick. We also argue that in this class
of theories conformal anomaly vanishes by fine-tuning the couplings. As
applications of this theory, the constraints of the conformal symmetry on the
form of the effective action and on the scattering amplitudes are shown. We
also remark about the preservation of the unitarity bound for scattering.
Finally, the old model of conformal supergravity by Fradkin and Tseytlin is
briefly presented.
|
[
{
"created": "Thu, 30 Aug 2018 18:00:03 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Dec 2018 11:07:54 GMT",
"version": "v2"
},
{
"created": "Sun, 16 Dec 2018 17:22:47 GMT",
"version": "v3"
}
] |
2018-12-18
|
[
[
"Rachwal",
"Leslaw",
""
]
] |
Conformal symmetry always played an important role in field theory (both quantum and classical) and in gravity. We present construction of quantum conformal gravity and discuss its features regarding scattering amplitudes and quantum effective action. First, the long and complicated story of UV-divergences is recalled. With the development of UV-finite higher derivative (or non-local) gravitational theory, all problems with infinities and spacetime singularities are solved. Moreover, the non-local quantum conformal theory reveals itself to be ghost-free, so the unitarity of the theory is safe. After the construction of UV-finite theory, we focused on making it manifestly conformally invariant using the dilaton trick. We also argue that in this class of theories conformal anomaly vanishes by fine-tuning the couplings. As applications of this theory, the constraints of the conformal symmetry on the form of the effective action and on the scattering amplitudes are shown. We also remark about the preservation of the unitarity bound for scattering. Finally, the old model of conformal supergravity by Fradkin and Tseytlin is briefly presented.
| 9.833535
| 10.402876
| 10.7877
| 9.980305
| 10.666423
| 10.395729
| 10.047956
| 10.405637
| 10.052163
| 11.351806
| 9.486395
| 9.973904
| 9.847376
| 9.516317
| 9.660783
| 10.009059
| 9.770319
| 9.86926
| 9.601985
| 9.952621
| 9.827076
|
hep-th/9605042
|
A. Sagnotti
|
Augusto Sagnotti and Yassen S. Stanev (Univ. Roma "Tor Vergata")
|
Open Descendants in Conformal Field Theory
|
19 pages, LATEX, 4 eps figures. Contribution to the Proceedings of
the CERN Meeting on STU Dualities, Dec. 95
|
Fortsch.Phys. 44 (1996) 585-596; Nucl.Phys.Proc.Suppl. 55B (1997)
200-209
|
10.1016/S0920-5632(97)00080-7
|
ROM2F-96/23
|
hep-th cond-mat
| null |
Open descendants extend Conformal Field Theory to unoriented surfaces with
boundaries. The construction rests on two types of generalizations of the
fusion algebra. The first is needed even in the relatively simple case of
diagonal models. It leads to a new tensor that satisfies the fusion algebra,
but whose entries are signed integers. The second is needed when dealing with
non-diagonal models, where Cardy's ansatz does not apply. It leads to a new
tensor with positive integer entries, that satisfies a set of polynomial
equations and encodes the classification of the allowed boundary operators.
|
[
{
"created": "Tue, 7 May 1996 13:06:39 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Sagnotti",
"Augusto",
"",
"Univ. Roma \"Tor Vergata\""
],
[
"Stanev",
"Yassen S.",
"",
"Univ. Roma \"Tor Vergata\""
]
] |
Open descendants extend Conformal Field Theory to unoriented surfaces with boundaries. The construction rests on two types of generalizations of the fusion algebra. The first is needed even in the relatively simple case of diagonal models. It leads to a new tensor that satisfies the fusion algebra, but whose entries are signed integers. The second is needed when dealing with non-diagonal models, where Cardy's ansatz does not apply. It leads to a new tensor with positive integer entries, that satisfies a set of polynomial equations and encodes the classification of the allowed boundary operators.
| 13.162553
| 12.494095
| 14.871221
| 11.970425
| 13.575897
| 13.474568
| 14.219334
| 10.831711
| 13.294271
| 15.411903
| 12.395556
| 11.649668
| 12.971416
| 11.690156
| 12.334632
| 11.692177
| 11.936944
| 11.751167
| 11.84666
| 13.147175
| 12.223767
|
1312.7097
|
Giulio D'Odorico
|
Alessandro Codello, Giulio D'Odorico, Carlo Pagani
|
A functional RG equation for the c-function
|
41 pages, 17 figures; v2: some minor corrections
|
JHEP 1407 (2014) 040
|
10.1007/JHEP07(2014)040
| null |
hep-th cond-mat.stat-mech gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
After showing how to prove the integrated c-theorem within the functional RG
framework based on the effective average action, we derive an exact RG flow
equation for Zamolodchikov's c-function in two dimensions by relating it to the
flow of the effective average action. In order to obtain a non-trivial flow for
the c-function, we will need to understand the general form of the effective
average action away from criticality, where nonlocal invariants, with beta
functions as coefficients, must be included in the ansatz to be consistent. We
then apply our construction to several examples: exact results, local potential
approximation and loop expansion. In each case we construct the relative
approximate c-function and find it to be consistent with Zamolodchikov's
c-theorem. Finally, we present a relation between the c-function and the
(matter induced) beta function of Newton's constant, allowing us to use heat
kernel techniques to compute the RG running of the c-function.
|
[
{
"created": "Thu, 26 Dec 2013 12:40:51 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Oct 2014 12:39:55 GMT",
"version": "v2"
}
] |
2014-10-20
|
[
[
"Codello",
"Alessandro",
""
],
[
"D'Odorico",
"Giulio",
""
],
[
"Pagani",
"Carlo",
""
]
] |
After showing how to prove the integrated c-theorem within the functional RG framework based on the effective average action, we derive an exact RG flow equation for Zamolodchikov's c-function in two dimensions by relating it to the flow of the effective average action. In order to obtain a non-trivial flow for the c-function, we will need to understand the general form of the effective average action away from criticality, where nonlocal invariants, with beta functions as coefficients, must be included in the ansatz to be consistent. We then apply our construction to several examples: exact results, local potential approximation and loop expansion. In each case we construct the relative approximate c-function and find it to be consistent with Zamolodchikov's c-theorem. Finally, we present a relation between the c-function and the (matter induced) beta function of Newton's constant, allowing us to use heat kernel techniques to compute the RG running of the c-function.
| 9.877181
| 8.85727
| 10.818073
| 8.505697
| 9.008511
| 8.98721
| 9.549839
| 8.770099
| 8.702223
| 10.209364
| 8.751438
| 8.81033
| 8.988254
| 8.720292
| 8.793698
| 8.915323
| 8.752313
| 8.645788
| 8.841179
| 9.225306
| 8.765262
|
hep-th/9711127
|
Ergin Sezgin
|
I. Rudychev, E. Sezgin and P. Sundell
|
Supersymmetry in Dimensions Beyond Eleven
|
10 pages, latex, talk presented by the second author at STRINGS'97,
Amsterdam
|
Nucl.Phys.Proc.Suppl. 68 (1998) 285-294
|
10.1016/S0920-5632(98)00162-5
| null |
hep-th
| null |
Spacetime superalgebras with 64 or less number of real supercharges,
containing the type IIB Poincare superalgebra in (9,1) dimensions and the N=1
Poincare superalgebra in (10,1) are considered. The restriction D<14, and two
distinct possibilities arise: The N=(1,0) superalgebra in (11,3) dimensions,
and the N=(2,0) superalgebra in (10,2) dimensions. Emphasizing the former, we
describe superparticle and super Yang-Mills systems in (11,3) dimensions. We
also propose an N=(2,1) superstring theory in (n,n) dimensions as a possible
origin of super Yang-Mills in (8+n,n) dimensions.
|
[
{
"created": "Mon, 17 Nov 1997 20:13:25 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Rudychev",
"I.",
""
],
[
"Sezgin",
"E.",
""
],
[
"Sundell",
"P.",
""
]
] |
Spacetime superalgebras with 64 or less number of real supercharges, containing the type IIB Poincare superalgebra in (9,1) dimensions and the N=1 Poincare superalgebra in (10,1) are considered. The restriction D<14, and two distinct possibilities arise: The N=(1,0) superalgebra in (11,3) dimensions, and the N=(2,0) superalgebra in (10,2) dimensions. Emphasizing the former, we describe superparticle and super Yang-Mills systems in (11,3) dimensions. We also propose an N=(2,1) superstring theory in (n,n) dimensions as a possible origin of super Yang-Mills in (8+n,n) dimensions.
| 7.373363
| 7.623621
| 8.607874
| 6.801723
| 7.231003
| 7.465691
| 7.311072
| 6.925531
| 6.338097
| 8.21675
| 6.875592
| 6.813428
| 7.699793
| 6.792535
| 7.148462
| 6.938709
| 6.742935
| 6.913118
| 6.907078
| 7.444608
| 6.791031
|
2310.05460
|
Masato Nozawa
|
Masato Nozawa and Takashi Torii
|
Robinson-Trautman solutions with scalar hair and Ricci flow
|
v2: 42 pages, 2 figures; clarifications amended, references added, to
appear in CQG
|
Class. Quantum Grav. 41, 065016 (2024)
|
10.1088/1361-6382/ad26ec
| null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The vacuum Robinson-Trautman solution admits a shear-free and twist-free null
geodesic congruence with a nonvanishing expansion. We perform a comprehensive
classification of solutions exhibiting this property in Einstein's gravity with
a massless scalar field, assuming that the solution belongs at least to
Petrov-type II and some of the components of Ricci tensor identically vanish.
We find that these solutions can be grouped into three distinct classes: (I-a)
a natural extension of the Robinson-Trautman family incorporating a scalar hair
satisfying the time derivative of the Ricci flow equation, (I-b) a novel
non-asymptotically flat solution characterized by two functions satisfying
Perelman's pair of the Ricci flow equations, and (II) a dynamical solution
possessing ${\rm SO}(3)$, ${\rm ISO}(2)$ or ${\rm SO}(1,2)$ symmetry. We
provide a complete list of all explicit solutions falling into Petrov type D
for classes (I-a) and (I-b). Moreover, leveraging the massless solution in
class (I-a), we derive the neutral Robinson-Trautman solution to the ${\cal
N}=2$ gauged supergravity with the prepotential $F(X) =-iX^0X^1$. By flipping
the sign of the kinetic term of the scalar field, the Petrov-D class (I-a)
solution leads to a time-dependent wormhole with an instantaneous spacetime
singularity. Although the general solution is unavailable for class (II), we
find a new dynamical solution with spherical symmetry from the AdS-Roberts
solution via AdS/Ricci-flat correspondence.
|
[
{
"created": "Mon, 9 Oct 2023 07:09:25 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Feb 2024 06:01:45 GMT",
"version": "v2"
}
] |
2024-02-27
|
[
[
"Nozawa",
"Masato",
""
],
[
"Torii",
"Takashi",
""
]
] |
The vacuum Robinson-Trautman solution admits a shear-free and twist-free null geodesic congruence with a nonvanishing expansion. We perform a comprehensive classification of solutions exhibiting this property in Einstein's gravity with a massless scalar field, assuming that the solution belongs at least to Petrov-type II and some of the components of Ricci tensor identically vanish. We find that these solutions can be grouped into three distinct classes: (I-a) a natural extension of the Robinson-Trautman family incorporating a scalar hair satisfying the time derivative of the Ricci flow equation, (I-b) a novel non-asymptotically flat solution characterized by two functions satisfying Perelman's pair of the Ricci flow equations, and (II) a dynamical solution possessing ${\rm SO}(3)$, ${\rm ISO}(2)$ or ${\rm SO}(1,2)$ symmetry. We provide a complete list of all explicit solutions falling into Petrov type D for classes (I-a) and (I-b). Moreover, leveraging the massless solution in class (I-a), we derive the neutral Robinson-Trautman solution to the ${\cal N}=2$ gauged supergravity with the prepotential $F(X) =-iX^0X^1$. By flipping the sign of the kinetic term of the scalar field, the Petrov-D class (I-a) solution leads to a time-dependent wormhole with an instantaneous spacetime singularity. Although the general solution is unavailable for class (II), we find a new dynamical solution with spherical symmetry from the AdS-Roberts solution via AdS/Ricci-flat correspondence.
| 9.034723
| 9.132299
| 9.130692
| 8.466708
| 9.381563
| 9.228139
| 9.602818
| 8.606328
| 8.627022
| 9.375749
| 8.729094
| 8.729198
| 8.826043
| 8.530559
| 8.64944
| 8.765481
| 8.69579
| 8.681985
| 8.578383
| 9.000604
| 8.662829
|
1403.2410
|
Roberto Volpato
|
Roberto Volpato
|
On symmetries of N=(4,4) sigma models on T^4
|
42 pages; minor changes, references added; version accepted for
publication
| null |
10.1007/JHEP08(2014)094
|
AEI-2014-005
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Motivated by an analogous result for K3 models, we classify all groups of
symmetries of non-linear sigma models on a torus T^4 that preserve the N=(4,4)
superconformal algebra. The resulting symmetry groups are isomorphic to certain
subgroups of the Weyl group of E8, that plays a role similar to the Conway
group for the case of K3 models. Our analysis heavily relies on the triality
automorphism of the T-duality group SO(4,4,Z). As a byproduct of our results,
we discover new explicit descriptions of K3 models as asymmetric orbifolds of
torus CFTs.
|
[
{
"created": "Mon, 10 Mar 2014 21:02:50 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Mar 2014 14:17:32 GMT",
"version": "v2"
},
{
"created": "Fri, 8 Aug 2014 11:54:56 GMT",
"version": "v3"
}
] |
2015-06-19
|
[
[
"Volpato",
"Roberto",
""
]
] |
Motivated by an analogous result for K3 models, we classify all groups of symmetries of non-linear sigma models on a torus T^4 that preserve the N=(4,4) superconformal algebra. The resulting symmetry groups are isomorphic to certain subgroups of the Weyl group of E8, that plays a role similar to the Conway group for the case of K3 models. Our analysis heavily relies on the triality automorphism of the T-duality group SO(4,4,Z). As a byproduct of our results, we discover new explicit descriptions of K3 models as asymmetric orbifolds of torus CFTs.
| 6.619062
| 7.066561
| 7.652561
| 6.205916
| 6.440809
| 6.309949
| 6.513538
| 6.439212
| 6.000147
| 8.33331
| 6.344446
| 6.252058
| 7.061689
| 6.302796
| 6.135374
| 6.38732
| 6.40145
| 6.209672
| 6.129062
| 6.888728
| 6.104502
|
hep-th/9711041
|
Renat Zhdanov
|
Renat Zhdanov (Institute of Mathematics, Kyiv)
|
On an integrable reduction of the Dirac equation
|
8 pages, LaTeX
| null | null | null |
hep-th
| null |
A symmetry reduction of the Dirac equation is shown to yield the system of
ordinary differential equations whose integrability by quadratures is closely
connected to the stationary mKdV hierarchy.
|
[
{
"created": "Thu, 6 Nov 1997 16:24:04 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Zhdanov",
"Renat",
"",
"Institute of Mathematics, Kyiv"
]
] |
A symmetry reduction of the Dirac equation is shown to yield the system of ordinary differential equations whose integrability by quadratures is closely connected to the stationary mKdV hierarchy.
| 13.370991
| 11.15052
| 14.787071
| 11.717053
| 12.650233
| 10.950906
| 12.808966
| 11.984889
| 11.880522
| 17.626154
| 11.48644
| 12.107749
| 13.294341
| 11.897294
| 11.745937
| 12.02689
| 11.932915
| 11.657148
| 12.204928
| 13.270676
| 11.36575
|
hep-th/0202201
|
Ivanov Evgenyi
|
E. Ivanov
|
Towards higher-N superextensions of Born-Infeld theory
|
11 pages, LaTeX, Based on talks given at 9-th International
Conference on Supersymmetry and Unification of Fundamental Interactions
(SUSY'01), Dubna, Russia, June 11-17, 2001, IX-th International Conference on
Symmetry Methods in Physics (SYMPHYS 9), Erevan, Armenia, July 3-8, 2001 and
XVI-th Max Born Symposium SQS'01, Karpacz, Poland, September 21-25, 2001
|
Russ.Phys.J. 45 (2002) 695-708; Izv.Vuz.Fiz. 2002N7 (2002) 47-56
| null | null |
hep-th
| null |
We give a brief account of supersymmetric Born-Infeld theories with extended
supersymmetry, including those with partially broken supersymmetry. Some latest
developments in this area are presented. One of them is N=3 supersymmetric
Born-Infeld theory which admits a natural off-shell formulation in N=3 harmonic
superspace.
|
[
{
"created": "Thu, 28 Feb 2002 13:38:50 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Ivanov",
"E.",
""
]
] |
We give a brief account of supersymmetric Born-Infeld theories with extended supersymmetry, including those with partially broken supersymmetry. Some latest developments in this area are presented. One of them is N=3 supersymmetric Born-Infeld theory which admits a natural off-shell formulation in N=3 harmonic superspace.
| 7.723819
| 5.821005
| 9.011617
| 6.677483
| 5.817179
| 6.374372
| 6.198534
| 5.921632
| 6.410861
| 9.241149
| 6.364367
| 6.351483
| 7.6057
| 6.920414
| 6.734739
| 6.784554
| 6.562285
| 6.442018
| 6.93445
| 8.343807
| 6.843679
|
hep-th/0609207
|
Mihai Visinescu
|
Mihai Visinescu
|
Fermion on Curved Spaces, Symmetries, and Quantum Anomalies
|
This is a contribution to the Proc. of the O'Raifeartaigh Symposium
on Non-Perturbative and Symmetry Methods in Field Theory (June 2006,
Budapest, Hungary), published in SIGMA (Symmetry, Integrability and Geometry:
Methods and Applications) at http://www.emis.de/journals/SIGMA/
|
SIGMA 2:083,2006
|
10.1063/1.2733191
| null |
hep-th
| null |
We review the geodesic motion of pseudo-classical spinning particles in
curved spaces. Investigating the generalized Killing equations for spinning
spaces, we express the constants of motion in terms of Killing-Yano tensors.
Passing from the spinning spaces to the Dirac equation in curved backgrounds we
point out the role of the Killing-Yano tensors in the construction of the
Dirac-type operators. The general results are applied to the case of the
four-dimensional Euclidean Taub-Newman-Unti-Tamburino space. The gravitational
and axial anomalies are studied for generalized Euclidean Taub-NUT metrics
which admit hidden symmetries analogous to the Runge-Lenz vector of the
Kepler-type problem. Using the Atiyah-Patodi-Singer index theorem for manifolds
with boundaries, it is shown that the these metrics make no contribution to the
axial anomaly.
|
[
{
"created": "Thu, 28 Sep 2006 12:24:12 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Nov 2006 19:47:54 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Visinescu",
"Mihai",
""
]
] |
We review the geodesic motion of pseudo-classical spinning particles in curved spaces. Investigating the generalized Killing equations for spinning spaces, we express the constants of motion in terms of Killing-Yano tensors. Passing from the spinning spaces to the Dirac equation in curved backgrounds we point out the role of the Killing-Yano tensors in the construction of the Dirac-type operators. The general results are applied to the case of the four-dimensional Euclidean Taub-Newman-Unti-Tamburino space. The gravitational and axial anomalies are studied for generalized Euclidean Taub-NUT metrics which admit hidden symmetries analogous to the Runge-Lenz vector of the Kepler-type problem. Using the Atiyah-Patodi-Singer index theorem for manifolds with boundaries, it is shown that the these metrics make no contribution to the axial anomaly.
| 7.034163
| 6.584459
| 7.214428
| 6.592227
| 6.068683
| 6.390782
| 6.358895
| 6.770809
| 6.1733
| 7.620806
| 6.635701
| 6.934621
| 6.994379
| 6.871145
| 6.8089
| 7.126822
| 7.03672
| 6.803948
| 6.770379
| 6.789446
| 6.472023
|
hep-th/0108243
|
Thomas E. Clark
|
T.E. Clark, S.T. Love, S.R. Nowling
|
The supercharge and superconformal symmetry for N=1 supersymmetric
quantum mechanics
|
59 pages, LaTeX
|
Nucl.Phys.B632:3-50,2002
|
10.1016/S0550-3213(02)00245-6
| null |
hep-th
| null |
The superspace Lagrangian formulation of N=1 supersymmetric quantum mechanics
is presented. The general Lagrangian constructed out of chiral and antichiral
supercoordinates containing up to two derivatives and with a canonically
normalized kinetic energy term describes the motion of a nonrelativistic spin
1/2 particle with Land\'e g-factor 2 moving in two spatial dimensions under the
influence of a static but spatially dependent magnetic field. Noether's theorem
is derived for the general case and is used to construct superspace dependent
charges whose lowest components give the superconformal generators. The
supercoordinate of charges containing an R symmetry charge, the supersymmetry
charges and the Hamiltonian are combined to form a supercharge supercoordinate.
Superconformal Ward identities for the quantum effective action are derived
from the conservation equations and the source of potential symmetry breaking
terms are identified.
|
[
{
"created": "Fri, 31 Aug 2001 21:13:44 GMT",
"version": "v1"
}
] |
2011-07-28
|
[
[
"Clark",
"T. E.",
""
],
[
"Love",
"S. T.",
""
],
[
"Nowling",
"S. R.",
""
]
] |
The superspace Lagrangian formulation of N=1 supersymmetric quantum mechanics is presented. The general Lagrangian constructed out of chiral and antichiral supercoordinates containing up to two derivatives and with a canonically normalized kinetic energy term describes the motion of a nonrelativistic spin 1/2 particle with Land\'e g-factor 2 moving in two spatial dimensions under the influence of a static but spatially dependent magnetic field. Noether's theorem is derived for the general case and is used to construct superspace dependent charges whose lowest components give the superconformal generators. The supercoordinate of charges containing an R symmetry charge, the supersymmetry charges and the Hamiltonian are combined to form a supercharge supercoordinate. Superconformal Ward identities for the quantum effective action are derived from the conservation equations and the source of potential symmetry breaking terms are identified.
| 9.427803
| 11.518804
| 10.894494
| 9.368552
| 12.14879
| 11.549329
| 12.045606
| 10.727639
| 11.203341
| 12.927444
| 9.885674
| 10.326159
| 9.901167
| 9.67986
| 10.414281
| 10.15615
| 10.01475
| 9.928231
| 9.51306
| 10.564418
| 9.74855
|
2209.11269
|
Paolo Soresina
|
Nicola Gorini, Luca Griguolo, Luigi Guerrini, Silvia Penati, Domenico
Seminara and Paolo Soresina
|
Constant primary operators and where to find them: The strange case of
BPS defects in ABJ(M) theory
|
36 pages plus appendices, 5 figures, 5 tables
| null |
10.1007/JHEP02(2023)013
|
CERN-TH-2022-146
|
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We investigate the one-dimensional defect SCFT defined on the $1/2$ BPS
Wilson line/loop in ABJ(M) theory. We show that the supermatrix structure of
the defect imposes a covariant supermatrix representation of the supercharges.
Exploiting this covariant formulation, we prove the existence of a long
multiplet whose highest weight state is a constant supermatrix operator. At
weak coupling, we study this operator in perturbation theory and confirm that
it acquires a non-trivial anomalous dimension. At strong coupling, we
conjecture that this operator is dual to the lowest bound state of fluctuations
of the fundamental open string in AdS$_4\times \mathbb{CP}_3$ around the
classical $1/2$ BPS solution. Quite unexpectedly, this operator also arises in
the cohomological equivalence between bosonic and fermionic Wilson loops. We
also discuss some regularization subtleties arising in perturbative
calculations on the infinite Wilson line.
|
[
{
"created": "Thu, 22 Sep 2022 18:46:57 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Oct 2022 14:00:26 GMT",
"version": "v2"
},
{
"created": "Fri, 9 Dec 2022 13:43:21 GMT",
"version": "v3"
}
] |
2023-02-22
|
[
[
"Gorini",
"Nicola",
""
],
[
"Griguolo",
"Luca",
""
],
[
"Guerrini",
"Luigi",
""
],
[
"Penati",
"Silvia",
""
],
[
"Seminara",
"Domenico",
""
],
[
"Soresina",
"Paolo",
""
]
] |
We investigate the one-dimensional defect SCFT defined on the $1/2$ BPS Wilson line/loop in ABJ(M) theory. We show that the supermatrix structure of the defect imposes a covariant supermatrix representation of the supercharges. Exploiting this covariant formulation, we prove the existence of a long multiplet whose highest weight state is a constant supermatrix operator. At weak coupling, we study this operator in perturbation theory and confirm that it acquires a non-trivial anomalous dimension. At strong coupling, we conjecture that this operator is dual to the lowest bound state of fluctuations of the fundamental open string in AdS$_4\times \mathbb{CP}_3$ around the classical $1/2$ BPS solution. Quite unexpectedly, this operator also arises in the cohomological equivalence between bosonic and fermionic Wilson loops. We also discuss some regularization subtleties arising in perturbative calculations on the infinite Wilson line.
| 8.924117
| 8.430615
| 10.480883
| 8.661087
| 9.267319
| 9.123391
| 9.673421
| 8.602158
| 8.454654
| 11.152272
| 8.380441
| 8.498582
| 9.267604
| 8.446254
| 8.556382
| 8.488837
| 8.631999
| 8.487657
| 8.407906
| 9.00551
| 8.825506
|
1405.1490
|
Chanyong Park
|
Chanyong Park
|
Holographic renormalization in dense medium
|
24 pages, references added
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the holographic renormalization of a charged black brane with
or without a dilaton field, whose dual field theory describes a dense medium at
finite temperature. In a dense medium, two different thermodynamic descriptions
are possible due to an additional conserved charge. These two different
thermodynamic ensembles are classified by the asymptotic boundary condition of
the bulk gauge field. We show that in the holographic renormalization
regularity of all bulk fields can reproduce consistent thermodynamic quantities
and that the Bekenstein-Hawking entropy is nothing but the renormalized thermal
entropy of the dual field theory. Furthermore, we find that the
Reissner-Nordstrom AdS black brane is dual to a theory with conformal matter as
expected, whereas a charged black brane with a nontrivial dilaton profile is
mapped to a theory with non-conformal matter although its leading asymptotic
geometry still remains as AdS space.
|
[
{
"created": "Wed, 7 May 2014 02:21:40 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Aug 2014 21:47:59 GMT",
"version": "v2"
}
] |
2014-08-25
|
[
[
"Park",
"Chanyong",
""
]
] |
We investigate the holographic renormalization of a charged black brane with or without a dilaton field, whose dual field theory describes a dense medium at finite temperature. In a dense medium, two different thermodynamic descriptions are possible due to an additional conserved charge. These two different thermodynamic ensembles are classified by the asymptotic boundary condition of the bulk gauge field. We show that in the holographic renormalization regularity of all bulk fields can reproduce consistent thermodynamic quantities and that the Bekenstein-Hawking entropy is nothing but the renormalized thermal entropy of the dual field theory. Furthermore, we find that the Reissner-Nordstrom AdS black brane is dual to a theory with conformal matter as expected, whereas a charged black brane with a nontrivial dilaton profile is mapped to a theory with non-conformal matter although its leading asymptotic geometry still remains as AdS space.
| 6.026083
| 6.359029
| 6.950063
| 6.246451
| 6.258792
| 6.332978
| 6.287633
| 6.492601
| 6.222172
| 7.095682
| 6.321066
| 6.065325
| 6.320877
| 6.174044
| 6.062604
| 6.036156
| 6.206614
| 6.134717
| 6.148183
| 6.175948
| 6.117961
|
hep-th/9603116
|
Emil Martinec
|
David Kutasov, Emil Martinec, and Martin O'Loughlin
|
Vacua of M-theory and N=2 strings
|
31 pages, harvmac; two figures
|
Nucl.Phys. B477 (1996) 675-700
|
10.1016/0550-3213(96)00303-3
|
EFI-96-07
|
hep-th
| null |
String and membrane dynamics may be unified into a theory of 2+2 dimensional
self-dual world-volumes living in a 10+2 dimensional target space. Some of the
vacua of this M-theory are described by the N=(2,1) heterotic string, whose
target space theory describes the world-volume dynamics of 2+2 dimensional
`M-branes'. All classes of string and membrane theories are realized as
particular vacua of the N=(2,1) string: Type IIA/B strings and supermembranes
arise in the standard moduli space of toroidal compactifications, while type
${\rm I}'$ and heterotic strings arise from a $\bf Z_2$ orbifold of the N=2
algebra. Yet another vacuum describes M-theory on a ${\bf T}^5/{\bf Z}_2$
orientifold, the type I string on $ {\bf T}^4$, and the six-dimensional
self-dual string. We find that open membranes carry `Chan-Paton fields' on
their boundaries, providing a common origin for gauge symmetries in M-theory.
The world-volume interactions of M-brane fluctuations agree with those of
Born-Infeld effective dynamics of the Dirichlet two-brane in the presence of a
non-vanishing electromagnetic field on the brane.
|
[
{
"created": "Sun, 17 Mar 1996 20:09:49 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Kutasov",
"David",
""
],
[
"Martinec",
"Emil",
""
],
[
"O'Loughlin",
"Martin",
""
]
] |
String and membrane dynamics may be unified into a theory of 2+2 dimensional self-dual world-volumes living in a 10+2 dimensional target space. Some of the vacua of this M-theory are described by the N=(2,1) heterotic string, whose target space theory describes the world-volume dynamics of 2+2 dimensional `M-branes'. All classes of string and membrane theories are realized as particular vacua of the N=(2,1) string: Type IIA/B strings and supermembranes arise in the standard moduli space of toroidal compactifications, while type ${\rm I}'$ and heterotic strings arise from a $\bf Z_2$ orbifold of the N=2 algebra. Yet another vacuum describes M-theory on a ${\bf T}^5/{\bf Z}_2$ orientifold, the type I string on $ {\bf T}^4$, and the six-dimensional self-dual string. We find that open membranes carry `Chan-Paton fields' on their boundaries, providing a common origin for gauge symmetries in M-theory. The world-volume interactions of M-brane fluctuations agree with those of Born-Infeld effective dynamics of the Dirichlet two-brane in the presence of a non-vanishing electromagnetic field on the brane.
| 8.52241
| 8.379901
| 9.178637
| 7.953031
| 8.795515
| 8.679872
| 8.678998
| 7.981602
| 8.185845
| 9.01832
| 8.177052
| 8.022443
| 8.25096
| 7.90124
| 7.893968
| 8.036623
| 7.772612
| 7.80625
| 7.86365
| 7.925938
| 7.867592
|
hep-th/9802104
|
Mauro Sergio Goes Negrao
|
D. H. T. Franco, M. S. Goes-Negrao, J. A. Helayel-Neto and A. R.
Pereira
|
A Remark on the Geometry of Two-Dimensional Anisotropic Non-Linear
Sigma-Models
|
11 pages, title changed, a new example of coset space was added that
elucidates our claim
| null | null | null |
hep-th
| null |
One discusses here the connection between \sigma-model gauge anomalies and
the existence of a connection with torsion that does not flatten the Ricci
tensor of the target manifold, by considering a number of non-symmetric coset
spaces. The influence of an eventual anisotropy on a certain direction of the
target manifold is also contemplated.
|
[
{
"created": "Fri, 13 Feb 1998 18:27:03 GMT",
"version": "v1"
},
{
"created": "Sat, 23 Sep 2000 01:21:19 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Franco",
"D. H. T.",
""
],
[
"Goes-Negrao",
"M. S.",
""
],
[
"Helayel-Neto",
"J. A.",
""
],
[
"Pereira",
"A. R.",
""
]
] |
One discusses here the connection between \sigma-model gauge anomalies and the existence of a connection with torsion that does not flatten the Ricci tensor of the target manifold, by considering a number of non-symmetric coset spaces. The influence of an eventual anisotropy on a certain direction of the target manifold is also contemplated.
| 23.111418
| 17.329365
| 21.67272
| 19.626553
| 19.321424
| 18.434135
| 16.367344
| 20.092266
| 18.873943
| 23.910704
| 19.785521
| 17.07658
| 20.959637
| 18.924414
| 17.919621
| 18.262722
| 18.715334
| 17.850204
| 18.26318
| 22.216246
| 19.613279
|
2007.09176
|
Francesco Aprile
|
Francesco Aprile and Pedro Vieira
|
Large $p$ explorations. From SUGRA to big STRINGS in Mellin space
|
30 pages, appendices A,B,C,D and one great picture
| null |
10.1007/JHEP12(2020)206
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explore a new way of probing scattering of closed strings in $AdS_5\times
S^5$, which we call `the large $p$ limit'. It consists of studying four-point
correlators of single-particle operators in $\mathcal{N}=4$ SYM at large $N$
and large 't Hooft coupling $\lambda$, by looking at the regime in which the
dual KK modes become short massive strings. In this regime the charge of the
single-particle operators is order $\lambda^{1/4}$ and the dual KK modes are in
between fields and strings. Starting from SUGRA we compute the large $p$ limit
of the correlators by introducing an improved $AdS_5\times S^5$ Mellin space
amplitude, and we show that the correlator is dominated by a saddle point. Our
results are consistent with the picture of four geodesics shooting from the
boundary of $AdS_5\times S^5$ towards a common bulk point, where they scatter
as if they were in flat space. The Mandelstam invariants are put in
correspondence with the Mellin variables and in turn with certain combinations
of cross ratios. At the saddle point the dynamics of the correlator is directly
related to the bulk Mellin amplitude, which in the process of taking large $p$
becomes the flat space ten-dimensional S-matrix. We thus learn how to embed the
full type IIB S-matrix in the $AdS_5\times S^5$ Mellin amplitude, and how to
stratify the latter in a large $p$ expansion. We compute the large $p$ limit of
all genus zero data currently available, pointing out additional hidden
simplicity of known results. We then show that the genus zero resummation at
large $p$ naturally leads to the Gross-Mende phase for the minimal area surface
around the bulk point. At one-loop, we first uncover a novel and finite Mellin
amplitude, and then we show that the large $p$ limit beautifully asymptotes the
gravitational S-matrix.
|
[
{
"created": "Fri, 17 Jul 2020 18:23:50 GMT",
"version": "v1"
}
] |
2021-02-03
|
[
[
"Aprile",
"Francesco",
""
],
[
"Vieira",
"Pedro",
""
]
] |
We explore a new way of probing scattering of closed strings in $AdS_5\times S^5$, which we call `the large $p$ limit'. It consists of studying four-point correlators of single-particle operators in $\mathcal{N}=4$ SYM at large $N$ and large 't Hooft coupling $\lambda$, by looking at the regime in which the dual KK modes become short massive strings. In this regime the charge of the single-particle operators is order $\lambda^{1/4}$ and the dual KK modes are in between fields and strings. Starting from SUGRA we compute the large $p$ limit of the correlators by introducing an improved $AdS_5\times S^5$ Mellin space amplitude, and we show that the correlator is dominated by a saddle point. Our results are consistent with the picture of four geodesics shooting from the boundary of $AdS_5\times S^5$ towards a common bulk point, where they scatter as if they were in flat space. The Mandelstam invariants are put in correspondence with the Mellin variables and in turn with certain combinations of cross ratios. At the saddle point the dynamics of the correlator is directly related to the bulk Mellin amplitude, which in the process of taking large $p$ becomes the flat space ten-dimensional S-matrix. We thus learn how to embed the full type IIB S-matrix in the $AdS_5\times S^5$ Mellin amplitude, and how to stratify the latter in a large $p$ expansion. We compute the large $p$ limit of all genus zero data currently available, pointing out additional hidden simplicity of known results. We then show that the genus zero resummation at large $p$ naturally leads to the Gross-Mende phase for the minimal area surface around the bulk point. At one-loop, we first uncover a novel and finite Mellin amplitude, and then we show that the large $p$ limit beautifully asymptotes the gravitational S-matrix.
| 8.510683
| 8.789856
| 9.738312
| 8.313493
| 8.863532
| 8.716987
| 8.462298
| 8.818049
| 8.508978
| 9.876835
| 8.666218
| 8.555579
| 8.854173
| 8.650568
| 8.598026
| 8.76902
| 8.470464
| 8.693449
| 8.60673
| 8.81778
| 8.405026
|
1506.01438
|
Carlos A. Batista da S. Filho
|
Carlos Batista
|
Conformally Invariant Spinorial Equations in Six Dimensions
|
24 pages. Matches the published version
|
Classical and Quantum Garvity 33 (2016), 015002
|
10.1088/0264-9381/33/1/015002
| null |
hep-th gr-qc math.DG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This work deals with the conformal transformations in six-dimensional
spinorial formalism. Several conformally invariant equations are obtained and
their geometrical interpretation are worked out. Finally, the integrability
conditions for some of these equations are established. Moreover, in the course
of the article, some useful identities involving the curvature of the spinorial
connection are attained and a digression about harmonic forms and more general
massless fields is made.
|
[
{
"created": "Thu, 4 Jun 2015 00:31:46 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Dec 2015 18:03:57 GMT",
"version": "v2"
}
] |
2015-12-14
|
[
[
"Batista",
"Carlos",
""
]
] |
This work deals with the conformal transformations in six-dimensional spinorial formalism. Several conformally invariant equations are obtained and their geometrical interpretation are worked out. Finally, the integrability conditions for some of these equations are established. Moreover, in the course of the article, some useful identities involving the curvature of the spinorial connection are attained and a digression about harmonic forms and more general massless fields is made.
| 13.181052
| 13.610931
| 13.121087
| 12.55318
| 13.255684
| 13.573852
| 14.088167
| 12.634957
| 13.846998
| 12.49894
| 12.346224
| 12.414216
| 12.960436
| 12.768237
| 12.755516
| 12.787005
| 12.815913
| 12.301784
| 12.459901
| 13.245142
| 12.669971
|
1402.5144
|
Timo Weigand
|
Martin Bies, Christoph Mayrhofer, Christian Pehle and Timo Weigand
|
Chow groups, Deligne cohomology and massless matter in F-theory
|
47 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a method to compute the exact number of charged localized massless
matter states in an F-theory compactification on a Calabi-Yau 4-fold with
non-trivial 3-form data. Our starting point is the description of the 3-form
data via Deligne cohomology. A refined cycle map allows us to specify concrete
elements therein in terms of the second Chow group of the 4-fold, i.e. rational
equivalence classes of algebraic 2-cycles. We use intersection theory within
the Chow ring to extract from this data a line bundle class on the curves in
the base of the fibration on which charged matter is localized. The associated
cohomology groups are conjectured to count the exact massless spectrum, in
agreement with general patterns in Type IIB compactifications with 7-branes. We
exemplify our approach by calculating the massless spectrum in an SU(5) x U(1)
toy model based on an elliptic 4-fold with an extra section. The explicit
evaluation of the cohomology classes is performed with the help of the
cohomCalg-algorithm by Blumenhagen et al.
|
[
{
"created": "Thu, 20 Feb 2014 21:00:18 GMT",
"version": "v1"
}
] |
2014-02-24
|
[
[
"Bies",
"Martin",
""
],
[
"Mayrhofer",
"Christoph",
""
],
[
"Pehle",
"Christian",
""
],
[
"Weigand",
"Timo",
""
]
] |
We propose a method to compute the exact number of charged localized massless matter states in an F-theory compactification on a Calabi-Yau 4-fold with non-trivial 3-form data. Our starting point is the description of the 3-form data via Deligne cohomology. A refined cycle map allows us to specify concrete elements therein in terms of the second Chow group of the 4-fold, i.e. rational equivalence classes of algebraic 2-cycles. We use intersection theory within the Chow ring to extract from this data a line bundle class on the curves in the base of the fibration on which charged matter is localized. The associated cohomology groups are conjectured to count the exact massless spectrum, in agreement with general patterns in Type IIB compactifications with 7-branes. We exemplify our approach by calculating the massless spectrum in an SU(5) x U(1) toy model based on an elliptic 4-fold with an extra section. The explicit evaluation of the cohomology classes is performed with the help of the cohomCalg-algorithm by Blumenhagen et al.
| 8.388283
| 8.408845
| 9.78862
| 8.151638
| 8.149599
| 8.221192
| 8.092393
| 8.054243
| 8.080889
| 9.788025
| 8.088882
| 8.01949
| 8.572192
| 8.146474
| 7.830518
| 8.205687
| 8.110748
| 7.989624
| 7.912989
| 8.361176
| 7.94095
|
1706.08054
|
Meng-Sen Ma
|
Meng-Sen Ma, Ren Zhao
|
Noncommutative geometry inspired black holes in Rastall gravity
|
12 pages, 5 figures. to match the published version
|
Eur. Phys. J. C (2017) 77: 629
|
10.1140/epjc/s10052-017-5217-7
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Under two different metric ansatzes, the noncommutative geometry inspired
black holes (NCBH) in the framework of Rastall gravity are derived and
analyzed. We consider the fluid-type matter with the Gaussian-distribution
smeared mass density. Taking a Schwarzschild-like metric ansatz, it is shown
that the noncommutative geometry inspired Schwarzschild black hole (NCSBH) in
Rastall gravity, unlike its counterpart in general relativity (GR), is not a
regular black hole. It has at most one event horizon. After showing a finite
maximal temperature, the black hole will leave behind a point-like massive
remnant at zero temperature. Considering a more general metric ansatz and a
special equation of state of the matter, we also find a regular NCBH in Rastall
gravity, which has a similar geometric structure and temperature to that of
NCSBH in GR.
|
[
{
"created": "Sun, 25 Jun 2017 08:11:15 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Sep 2017 14:27:57 GMT",
"version": "v2"
}
] |
2017-09-26
|
[
[
"Ma",
"Meng-Sen",
""
],
[
"Zhao",
"Ren",
""
]
] |
Under two different metric ansatzes, the noncommutative geometry inspired black holes (NCBH) in the framework of Rastall gravity are derived and analyzed. We consider the fluid-type matter with the Gaussian-distribution smeared mass density. Taking a Schwarzschild-like metric ansatz, it is shown that the noncommutative geometry inspired Schwarzschild black hole (NCSBH) in Rastall gravity, unlike its counterpart in general relativity (GR), is not a regular black hole. It has at most one event horizon. After showing a finite maximal temperature, the black hole will leave behind a point-like massive remnant at zero temperature. Considering a more general metric ansatz and a special equation of state of the matter, we also find a regular NCBH in Rastall gravity, which has a similar geometric structure and temperature to that of NCSBH in GR.
| 7.95953
| 8.018028
| 6.883297
| 7.392609
| 7.471763
| 7.347395
| 8.046443
| 7.059443
| 7.798614
| 7.497656
| 7.781813
| 7.64986
| 7.261942
| 7.336411
| 7.45929
| 7.520904
| 7.557379
| 7.254184
| 7.543136
| 7.187271
| 7.342608
|
1103.4813
|
Laura Andrianopoli Dr
|
Laura Andrianopoli, Riccardo D'Auria, Luca Sommovigo and Mario
Trigiante
|
D=4, N=2 Gauged Supergravity coupled to Vector-Tensor Multiplets
|
Typos corrected, references added
|
Nucl.Phys.B851:1-29,2011
|
10.1016/j.nuclphysb.2011.05.007
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct the general four-dimensional N=2 supergravity theory coupled to
vector and vector-tensor multiplets only. Consistency of the construction
requires the introduction of the vector fields dual to those sitting in the
same supermultiplets as the antisymmetric tensors, as well as the scalar fields
dual to the tensors themselves. Gauge symmetries also involving these
additional fields guarantee the correct counting of the physical degrees of
freedom.
|
[
{
"created": "Thu, 24 Mar 2011 17:07:53 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Apr 2011 09:35:25 GMT",
"version": "v2"
}
] |
2011-07-06
|
[
[
"Andrianopoli",
"Laura",
""
],
[
"D'Auria",
"Riccardo",
""
],
[
"Sommovigo",
"Luca",
""
],
[
"Trigiante",
"Mario",
""
]
] |
We construct the general four-dimensional N=2 supergravity theory coupled to vector and vector-tensor multiplets only. Consistency of the construction requires the introduction of the vector fields dual to those sitting in the same supermultiplets as the antisymmetric tensors, as well as the scalar fields dual to the tensors themselves. Gauge symmetries also involving these additional fields guarantee the correct counting of the physical degrees of freedom.
| 10.535388
| 9.089386
| 11.003817
| 8.607824
| 8.203519
| 9.214333
| 8.822045
| 9.21713
| 9.666115
| 11.600112
| 8.850332
| 8.70934
| 9.125935
| 9.479478
| 9.48651
| 9.115231
| 9.278521
| 9.531774
| 9.097297
| 10.185982
| 8.553724
|
1905.01721
|
Debmalya Mukhopadhyay
|
Debmalya Mukhopadhyay, R. Kumar, Jan-e Alam and Sushant K. Singh
|
HTL effective action of topologically massive gluons in 3+1 dimensions
|
22 pages, 12 figures. Effective action extended. Some numerical
factors modified. Reference and acknowledgement added
|
Phys. Rev. D 101, 074039 (2020)
|
10.1103/PhysRevD.101.074039
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct an effective action for "soft" gluons by integrating out hard
thermal modes of topologically massive vector bosons at one loop order. The
loop carrying hard gluons (momentum $\sim T$) are known as hard thermal loop
(HTL). The gluons are massive in the non-Abelian topologically massive model
(TMM) due to a quadratic coupling $B\wedge F$ where a 2-form field $B$ is
coupled quadratically with the field strength $F$ of Yang-Mills (YM) field. The
mass of the gluons plays an important role in the perturbative analysis of
thermal field theory. Due to the presence of this infrared cut-off in the
model, the color diffusion constant and conductivity can be analyzed in
perturbative regime.
|
[
{
"created": "Sun, 5 May 2019 17:36:53 GMT",
"version": "v1"
},
{
"created": "Fri, 24 May 2019 04:54:25 GMT",
"version": "v2"
},
{
"created": "Wed, 15 Jan 2020 04:40:10 GMT",
"version": "v3"
}
] |
2020-05-06
|
[
[
"Mukhopadhyay",
"Debmalya",
""
],
[
"Kumar",
"R.",
""
],
[
"Alam",
"Jan-e",
""
],
[
"Singh",
"Sushant K.",
""
]
] |
We construct an effective action for "soft" gluons by integrating out hard thermal modes of topologically massive vector bosons at one loop order. The loop carrying hard gluons (momentum $\sim T$) are known as hard thermal loop (HTL). The gluons are massive in the non-Abelian topologically massive model (TMM) due to a quadratic coupling $B\wedge F$ where a 2-form field $B$ is coupled quadratically with the field strength $F$ of Yang-Mills (YM) field. The mass of the gluons plays an important role in the perturbative analysis of thermal field theory. Due to the presence of this infrared cut-off in the model, the color diffusion constant and conductivity can be analyzed in perturbative regime.
| 8.746756
| 9.828656
| 8.780752
| 8.018501
| 9.705659
| 9.508096
| 10.289551
| 8.858692
| 8.136541
| 9.812806
| 9.127768
| 8.590253
| 8.392404
| 8.316511
| 8.422822
| 8.695823
| 8.75379
| 8.501351
| 8.602806
| 8.215731
| 8.206872
|
1403.1150
|
Parinya Karndumri
|
Parinya Karndumri
|
Gravity duals of 5D N=2 SYM from F(4) gauged supergravity
|
22 pages, no figure, typos corrected, references added and a
misleading argument removed
|
Phys. Rev. D 90, 086009 (2014)
|
10.1103/PhysRevD.90.086009
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study gravity duals of the minimal $N=2$ super Yang-Mills (SYM) gauge
theories in five dimensions using the matter coupled $F(4)$ gauged supergravity
in six dimensions. The $F(4)$ gauged supergravity coupled to $n$ vector
multiplets contains $4n+1$ scalar fields, parametrized by $\mathbb{R}^+\times
SO(4,n)/SO(4)\times SO(n)$ coset manifold. Maximally supersymmetric vacua of
the gauged supergravity with $SU(2)\times G$ gauge group, with $G$ being an
$n$-dimensional subgroup of $SO(n)$, correspond to five dimensional
superconformal field theories (SCFTs) with $SU(2)_R$ R-symmetry and $G$ global
symmetry. Deformations of the UV SCFTs for $G=SU(2)$ and $G=U(2)\sim
SU(2)\times U(1)$ symmetries that lead to non-conformal $N=2$ SYM with various
unbroken global symmetries are studied holographically.
|
[
{
"created": "Wed, 5 Mar 2014 14:52:13 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Mar 2014 15:36:56 GMT",
"version": "v2"
},
{
"created": "Tue, 22 Jul 2014 14:50:02 GMT",
"version": "v3"
},
{
"created": "Wed, 15 Oct 2014 16:34:00 GMT",
"version": "v4"
}
] |
2014-11-05
|
[
[
"Karndumri",
"Parinya",
""
]
] |
We study gravity duals of the minimal $N=2$ super Yang-Mills (SYM) gauge theories in five dimensions using the matter coupled $F(4)$ gauged supergravity in six dimensions. The $F(4)$ gauged supergravity coupled to $n$ vector multiplets contains $4n+1$ scalar fields, parametrized by $\mathbb{R}^+\times SO(4,n)/SO(4)\times SO(n)$ coset manifold. Maximally supersymmetric vacua of the gauged supergravity with $SU(2)\times G$ gauge group, with $G$ being an $n$-dimensional subgroup of $SO(n)$, correspond to five dimensional superconformal field theories (SCFTs) with $SU(2)_R$ R-symmetry and $G$ global symmetry. Deformations of the UV SCFTs for $G=SU(2)$ and $G=U(2)\sim SU(2)\times U(1)$ symmetries that lead to non-conformal $N=2$ SYM with various unbroken global symmetries are studied holographically.
| 3.649888
| 3.536309
| 4.27403
| 3.515303
| 3.599941
| 3.71681
| 3.63507
| 3.534651
| 3.554482
| 4.654327
| 3.557868
| 3.529405
| 3.793617
| 3.549555
| 3.561169
| 3.60638
| 3.516278
| 3.558349
| 3.578813
| 3.794352
| 3.578483
|
hep-th/0611067
|
Anders Bengtsson
|
Anders K.H. Bengtsson
|
Structure of Higher Spin Gauge Interactions
|
A few changes and additions made in the Introduction. Three
references added. Typos corrected. Text agrees with published version in J.
Math. Phys. except for minor journal specific proof-reading changes. 61 pages
|
J.Math.Phys.48:072302,2007
|
10.1063/1.2751277
| null |
hep-th
| null |
In a previous paper, higher spin gauge field theory was formulated in an
abstract way, essentially only keeping enough machinery to discuss "gauge
invariance" of an "action". The approach could be thought of as providing an
interface (or syntax) towards an implementation (or semantics) yet to be
constructed. The structure then revealed turns out to be that of a strongly
homotopy Lie algebra.
In the present paper, the framework will be connected to more conventional
field theoretic concepts. The Fock complex vertex operator implementation of
the interactions in the BRST-BV formulation of the theory will be elaborated.
The relation between the vertex order expansion and homological perturbation
theory will be clarified. A formal non-obstruction argument is reviewed. The
syntactically derived sh-Lie algebra structure is semantically mapped to the
Fock complex implementation and it is shown that the recursive equations
governing the higher order vertices are reproduced.
Global symmetries and subsidiary conditions are discussed and as a result the
tracelessness constraints are discarded. Thus all equations needed to compute
the vertices to any order are collected. The framework is general enough to
encompass all possible interaction terms.
Finally, the abstract framework itself will be strengthened by showing that
it can be naturally phrased in terms of the theory of categories.
|
[
{
"created": "Mon, 6 Nov 2006 18:57:59 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Oct 2007 21:24:33 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Bengtsson",
"Anders K. H.",
""
]
] |
In a previous paper, higher spin gauge field theory was formulated in an abstract way, essentially only keeping enough machinery to discuss "gauge invariance" of an "action". The approach could be thought of as providing an interface (or syntax) towards an implementation (or semantics) yet to be constructed. The structure then revealed turns out to be that of a strongly homotopy Lie algebra. In the present paper, the framework will be connected to more conventional field theoretic concepts. The Fock complex vertex operator implementation of the interactions in the BRST-BV formulation of the theory will be elaborated. The relation between the vertex order expansion and homological perturbation theory will be clarified. A formal non-obstruction argument is reviewed. The syntactically derived sh-Lie algebra structure is semantically mapped to the Fock complex implementation and it is shown that the recursive equations governing the higher order vertices are reproduced. Global symmetries and subsidiary conditions are discussed and as a result the tracelessness constraints are discarded. Thus all equations needed to compute the vertices to any order are collected. The framework is general enough to encompass all possible interaction terms. Finally, the abstract framework itself will be strengthened by showing that it can be naturally phrased in terms of the theory of categories.
| 16.690041
| 17.084946
| 18.784092
| 16.657141
| 17.117052
| 18.291439
| 17.348866
| 16.667061
| 16.050854
| 19.55456
| 16.055363
| 16.219618
| 15.937668
| 15.65861
| 16.116903
| 16.643471
| 16.272699
| 15.790895
| 16.14023
| 16.220314
| 16.189945
|
2406.19687
|
Gregory Gold
|
Gregory Gold, Saurish Khandelwal, Gabriele Tartaglino-Mazzucchelli
|
Supergravity Component Reduction with Computer Algebra
|
22 pages; contribution to the proceedings of the MATRIX program "New
Deformations of Quantum Field and Gravity Theories", 22 Jan - 2 Feb 2024
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by-nc-sa/4.0/
|
Using an interplay between superspace and component superconformal tensor
calculus techniques, recently, the off-shell construction of the supersymmetric
extension of the three independent curvature-squared invariants for minimal (N
= 1) gauged supergravity in five dimensions (5D) was completed. A key
ingredient in obtaining these results is the implementation of computer algebra
algorithms. In this report, we describe how to use cadabra to systematically
study component reduction from superspace with computer algebra in the case of
5D, N = 1 supergravity.
|
[
{
"created": "Fri, 28 Jun 2024 06:51:39 GMT",
"version": "v1"
}
] |
2024-07-01
|
[
[
"Gold",
"Gregory",
""
],
[
"Khandelwal",
"Saurish",
""
],
[
"Tartaglino-Mazzucchelli",
"Gabriele",
""
]
] |
Using an interplay between superspace and component superconformal tensor calculus techniques, recently, the off-shell construction of the supersymmetric extension of the three independent curvature-squared invariants for minimal (N = 1) gauged supergravity in five dimensions (5D) was completed. A key ingredient in obtaining these results is the implementation of computer algebra algorithms. In this report, we describe how to use cadabra to systematically study component reduction from superspace with computer algebra in the case of 5D, N = 1 supergravity.
| 11.355542
| 9.867566
| 11.170546
| 9.845596
| 11.237042
| 10.81196
| 11.331839
| 9.853566
| 9.546297
| 13.460271
| 10.03227
| 10.25141
| 10.664325
| 10.041966
| 10.647049
| 10.526124
| 10.539471
| 10.105269
| 10.220972
| 10.780678
| 10.281605
|
hep-th/9212096
|
E. Elizalde
|
E. Elizalde, S. Leseduarte and A. Romeo
|
Spectral Zeta Functions for Spherical Aharonov-Bohm Quantum Bags
|
15 pages, LaTeX file
| null | null |
UB-ECM-PF 92/33
|
hep-th
| null |
We study the sum $\ds\zeta_H(s)=\sum_j E_j^{-s}$ over the eigenvalues $E_j$
of the Schrdinger equation in a spherical domain with Dirichlet walls, threaded
by a line of magnetic flux. Rather than using Green's function techniques, we
tackle the mathematically nontrivial problem of finding exact sum rules for the
zeros of Bessel functions $J_{\nu}$, which are extremely helpful when seeking
numerical approximations to ground state energies. These results are
particularly valuable if $\nu$ is neither an integer nor half an odd one.
|
[
{
"created": "Wed, 16 Dec 1992 11:15:38 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Elizalde",
"E.",
""
],
[
"Leseduarte",
"S.",
""
],
[
"Romeo",
"A.",
""
]
] |
We study the sum $\ds\zeta_H(s)=\sum_j E_j^{-s}$ over the eigenvalues $E_j$ of the Schrdinger equation in a spherical domain with Dirichlet walls, threaded by a line of magnetic flux. Rather than using Green's function techniques, we tackle the mathematically nontrivial problem of finding exact sum rules for the zeros of Bessel functions $J_{\nu}$, which are extremely helpful when seeking numerical approximations to ground state energies. These results are particularly valuable if $\nu$ is neither an integer nor half an odd one.
| 12.479014
| 12.97507
| 12.892797
| 12.759963
| 15.264716
| 13.642106
| 15.083191
| 14.111335
| 13.132041
| 14.184491
| 12.724199
| 11.985104
| 11.727664
| 11.706794
| 11.765552
| 12.45835
| 11.753627
| 11.661645
| 11.632145
| 12.990764
| 11.972266
|
2207.07492
|
Pongwit Srisangyingcharoen -
|
Pongwit Srisangyingcharoen
|
Steps Towards Generalization of Tensionless String Theory with Contact
Interactions as Wilson loop of Non-Abelian Yang-Mills Theory
|
37 pages, 2 figures
| null |
10.1140/epjc/s10052-023-11563-2
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We propose a possible modification to the tensionless string model with
contact interactions. The proposed model aims to reproduce an expectation value
of the non-Abelian Wilson loop in the Yang-Mills theory when integrating out
string degrees of freedom with a fixed worldsheet boundary. Lie algebra-valued
fields whose dynamics are determined by the topological BF action are
introduced on the string worldsheet to reproduce path-ordering along the
worldsheet boundary. Without bulk contributions, we show that the model
describes the non-Abelian Wilson loop discarding effects of self-interactions.
Finally, a reproduction of the Wilson loop with three-point interaction is
tested in the case of $SU(2)$
|
[
{
"created": "Fri, 15 Jul 2022 14:28:11 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Mar 2023 15:25:36 GMT",
"version": "v2"
}
] |
2023-06-07
|
[
[
"Srisangyingcharoen",
"Pongwit",
""
]
] |
We propose a possible modification to the tensionless string model with contact interactions. The proposed model aims to reproduce an expectation value of the non-Abelian Wilson loop in the Yang-Mills theory when integrating out string degrees of freedom with a fixed worldsheet boundary. Lie algebra-valued fields whose dynamics are determined by the topological BF action are introduced on the string worldsheet to reproduce path-ordering along the worldsheet boundary. Without bulk contributions, we show that the model describes the non-Abelian Wilson loop discarding effects of self-interactions. Finally, a reproduction of the Wilson loop with three-point interaction is tested in the case of $SU(2)$
| 14.333871
| 13.943306
| 15.281175
| 13.390924
| 15.259254
| 16.132824
| 15.394158
| 14.727095
| 13.986679
| 16.005957
| 13.894895
| 14.040347
| 14.213037
| 13.626981
| 13.267955
| 14.516551
| 14.268948
| 13.630692
| 13.784325
| 14.205844
| 13.674195
|
1010.5307
|
Sugumi Kanno
|
Sugumi Kanno, Jiro Soda and Masa-aki Watanabe
|
Anisotropic Power-law Inflation
|
14 pages, 1 figure. References added, minor corrections included
|
JCAP 1012:024,2010
|
10.1088/1475-7516/2010/12/024
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study an inflationary scenario in supergravity model with a gauge kinetic
function. We find exact anisotropic power-law inflationary solutions when both
the potential function for an inflaton and the gauge kinetic function are
exponential type. The dynamical system analysis tells us that the anisotropic
power-law inflation is an attractor for a large parameter region.
|
[
{
"created": "Tue, 26 Oct 2010 03:35:20 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Nov 2010 15:40:21 GMT",
"version": "v2"
},
{
"created": "Mon, 29 Nov 2010 17:25:38 GMT",
"version": "v3"
}
] |
2011-03-10
|
[
[
"Kanno",
"Sugumi",
""
],
[
"Soda",
"Jiro",
""
],
[
"Watanabe",
"Masa-aki",
""
]
] |
We study an inflationary scenario in supergravity model with a gauge kinetic function. We find exact anisotropic power-law inflationary solutions when both the potential function for an inflaton and the gauge kinetic function are exponential type. The dynamical system analysis tells us that the anisotropic power-law inflation is an attractor for a large parameter region.
| 7.737552
| 6.51844
| 6.571205
| 6.157328
| 6.825949
| 6.543094
| 6.542848
| 6.104589
| 6.272009
| 7.475699
| 7.010577
| 7.273173
| 7.175726
| 6.729535
| 6.846029
| 6.813566
| 6.963643
| 6.69924
| 7.306068
| 6.91015
| 7.053119
|
hep-th/9607158
| null |
Bruno Iochum, Daniel Kastler, Thomas Schucker
|
On the universal Chamseddine-Connes action 1. Details of the action
computation
|
26 pages, gzip postcript file
|
J.Math.Phys. 38 (1997) 4929-4950
|
10.1063/1.531927
|
CPT-96/P.3366
|
hep-th
| null |
We give the details of the computation of the Chamseddine-Connes action by
combination of a Lichnerowicz formula with the heat kernel expension.
|
[
{
"created": "Thu, 18 Jul 1996 14:15:11 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Iochum",
"Bruno",
""
],
[
"Kastler",
"Daniel",
""
],
[
"Schucker",
"Thomas",
""
]
] |
We give the details of the computation of the Chamseddine-Connes action by combination of a Lichnerowicz formula with the heat kernel expension.
| 17.902163
| 13.449877
| 14.14793
| 13.046567
| 13.8528
| 15.537998
| 12.558541
| 13.264005
| 13.458377
| 16.188313
| 11.648957
| 12.652396
| 14.252984
| 13.491058
| 13.879906
| 12.442562
| 12.291803
| 12.495915
| 12.872479
| 16.629726
| 12.395432
|
hep-th/9806025
|
Dominic James Lee
|
D.J. Lee
|
The D-Gauge: a solution to the i-r problem for fermion mass generation
in QED3 in the Matsubara formalism
|
19 pages including 3 diagrams
| null | null |
OUTP-98-46-P
|
hep-th
| null |
A serious problem with the Schwinger-Dyson approach to dynamical mass
generation in QED3 at finite temperature is that the contribution from the
transverse part of the photon propagator, in the Landau gauge, leads to
infrared divergences in both the mass function and the wavefunction
renormalisation. We show how, by using a simple choice of vertex anatz and a
choice of non-local gauge (the `D-gauge') both quantities can be made finite.
We formulate an equation for the physical mass M. and show that it reduces to
the coresponding equation obtained in the constant physical mass approximation
M=M(0,pi T) (which is finite). There for at finite temperature, we are able to
justify a `constant' mass approximation for M, and show that the value of r
(the ratio of twice the physical mass at zero temperature to the critical
temperature) remains close to the value obtained in previous calculations with
retardation.
|
[
{
"created": "Wed, 3 Jun 1998 17:49:47 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Lee",
"D. J.",
""
]
] |
A serious problem with the Schwinger-Dyson approach to dynamical mass generation in QED3 at finite temperature is that the contribution from the transverse part of the photon propagator, in the Landau gauge, leads to infrared divergences in both the mass function and the wavefunction renormalisation. We show how, by using a simple choice of vertex anatz and a choice of non-local gauge (the `D-gauge') both quantities can be made finite. We formulate an equation for the physical mass M. and show that it reduces to the coresponding equation obtained in the constant physical mass approximation M=M(0,pi T) (which is finite). There for at finite temperature, we are able to justify a `constant' mass approximation for M, and show that the value of r (the ratio of twice the physical mass at zero temperature to the critical temperature) remains close to the value obtained in previous calculations with retardation.
| 12.033994
| 13.909221
| 12.626289
| 12.537174
| 12.872276
| 13.213138
| 13.259724
| 11.996824
| 12.012361
| 12.589482
| 12.263126
| 11.743272
| 11.780172
| 11.798186
| 11.363079
| 12.087038
| 11.433434
| 11.760468
| 11.674818
| 11.727201
| 11.700281
|
1403.0255
|
Daniel Blaschke
|
Herbert Balasin, Daniel N. Blaschke, Francois Gieres and Manfred
Schweda
|
Wong's Equations and Charged Relativistic Particles in Non-Commutative
Space
| null |
SIGMA 10 (2014), 099, 21 pages
|
10.3842/SIGMA.2014.099
|
LA-UR-14-20833
|
hep-th math-ph math.MP quant-ph
|
http://creativecommons.org/licenses/by-nc-sa/3.0/
|
In analogy to Wong's equations describing the motion of a charged
relativistic point particle in the presence of an external Yang-Mills field, we
discuss the motion of such a particle in non-commutative space subject to an
external $U_\star(1)$ gauge field. We conclude that the latter equations are
only consistent in the case of a constant field strength. This formulation,
which is based on an action written in Moyal space, provides a coarser level of
description than full QED on non-commutative space. The results are compared
with those obtained from the different Hamiltonian approaches. Furthermore, a
continuum version for Wong's equations and for the motion of a particle in
non-commutative space is derived.
|
[
{
"created": "Sun, 2 Mar 2014 18:36:22 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Mar 2014 19:25:46 GMT",
"version": "v2"
},
{
"created": "Fri, 17 Oct 2014 16:06:09 GMT",
"version": "v3"
},
{
"created": "Sun, 26 Oct 2014 05:51:38 GMT",
"version": "v4"
}
] |
2014-10-28
|
[
[
"Balasin",
"Herbert",
""
],
[
"Blaschke",
"Daniel N.",
""
],
[
"Gieres",
"Francois",
""
],
[
"Schweda",
"Manfred",
""
]
] |
In analogy to Wong's equations describing the motion of a charged relativistic point particle in the presence of an external Yang-Mills field, we discuss the motion of such a particle in non-commutative space subject to an external $U_\star(1)$ gauge field. We conclude that the latter equations are only consistent in the case of a constant field strength. This formulation, which is based on an action written in Moyal space, provides a coarser level of description than full QED on non-commutative space. The results are compared with those obtained from the different Hamiltonian approaches. Furthermore, a continuum version for Wong's equations and for the motion of a particle in non-commutative space is derived.
| 8.592222
| 7.28567
| 7.869275
| 7.165599
| 7.895491
| 8.240665
| 7.892574
| 7.740266
| 7.573825
| 8.502849
| 7.69175
| 7.561347
| 7.78672
| 7.573104
| 7.546842
| 7.715783
| 7.461026
| 7.610532
| 7.596314
| 7.743271
| 7.170392
|
1802.05989
|
Olindo Corradini
|
Fiorenzo Bastianelli, Olindo Corradini, Laura Iacconi
|
Simplified path integral for supersymmetric quantum mechanics and type-A
trace anomalies
|
1+25 pages, 2 tables. Discussion improved, references added. Version
accepted for publication in JHEP
| null |
10.1007/JHEP05(2018)010
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Particles in a curved space are classically described by a nonlinear sigma
model action that can be quantized through path integrals. The latter require a
precise regularization to deal with the derivative interactions arising from
the nonlinear kinetic term. Recently, for maximally symmetric spaces,
simplified path integrals have been developed: they allow to trade the
nonlinear kinetic term with a purely quadratic kinetic term (linear sigma
model). This happens at the expense of introducing a suitable effective scalar
potential, which contains the information on the curvature of the space. The
simplified path integral provides a sensible gain in the efficiency of
perturbative calculations. Here we extend the construction to models with N = 1
supersymmetry on the worldline, which are applicable to the first quantized
description of a Dirac fermion. As an application we use the simplified
worldline path integral to compute the type-A trace anomaly of a Dirac fermion
in d dimensions up to d = 16.
|
[
{
"created": "Fri, 16 Feb 2018 15:47:53 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Apr 2018 07:51:46 GMT",
"version": "v2"
}
] |
2018-05-23
|
[
[
"Bastianelli",
"Fiorenzo",
""
],
[
"Corradini",
"Olindo",
""
],
[
"Iacconi",
"Laura",
""
]
] |
Particles in a curved space are classically described by a nonlinear sigma model action that can be quantized through path integrals. The latter require a precise regularization to deal with the derivative interactions arising from the nonlinear kinetic term. Recently, for maximally symmetric spaces, simplified path integrals have been developed: they allow to trade the nonlinear kinetic term with a purely quadratic kinetic term (linear sigma model). This happens at the expense of introducing a suitable effective scalar potential, which contains the information on the curvature of the space. The simplified path integral provides a sensible gain in the efficiency of perturbative calculations. Here we extend the construction to models with N = 1 supersymmetry on the worldline, which are applicable to the first quantized description of a Dirac fermion. As an application we use the simplified worldline path integral to compute the type-A trace anomaly of a Dirac fermion in d dimensions up to d = 16.
| 8.982543
| 8.728952
| 10.198957
| 9.706802
| 8.960677
| 9.341783
| 8.586939
| 9.683156
| 8.989494
| 10.351102
| 8.684448
| 9.217534
| 9.592722
| 9.199594
| 9.151727
| 9.164454
| 9.140856
| 9.241048
| 9.289467
| 9.82423
| 9.166949
|
hep-th/0509074
|
Sugumi Kanno
|
Sugumi Kanno, Jiro Soda
|
Moduli Stabilization in String Gas Compactification
|
7 pages, 3 figures
|
Phys.Rev. D72 (2005) 104023
|
10.1103/PhysRevD.72.104023
|
KUNS-1986
|
hep-th gr-qc
| null |
We investigate the moduli stabilization in string gas compactification. We
first present a numerical evidence showing the stability of the radion and the
dilaton. To understand this numerical result, we construct the 4-dimensional
effective action by taking into account T-duality. It turns out that the
dilaton is actually marginally stable. When the moduli other than the dilaton
is stabilized at the self-dual point, the potential for the dilaton disappears
and then the dilaton is stabilized due to the hubble damping. In order to
investigate if this mechanism works in more general cases, we analyze the
stability of $T_2 \otimes T_2 \otimes T_2$ compactification in the context of
massless string gas cosmology. We found that the volume moduli, the shape
moduli, and the flux moduli are stabilized at the self dual point in the moduli
space. Thus, it is proved that this simple compactification model is stable.
|
[
{
"created": "Sat, 10 Sep 2005 07:23:17 GMT",
"version": "v1"
},
{
"created": "Sun, 18 Sep 2005 06:47:54 GMT",
"version": "v2"
}
] |
2013-05-29
|
[
[
"Kanno",
"Sugumi",
""
],
[
"Soda",
"Jiro",
""
]
] |
We investigate the moduli stabilization in string gas compactification. We first present a numerical evidence showing the stability of the radion and the dilaton. To understand this numerical result, we construct the 4-dimensional effective action by taking into account T-duality. It turns out that the dilaton is actually marginally stable. When the moduli other than the dilaton is stabilized at the self-dual point, the potential for the dilaton disappears and then the dilaton is stabilized due to the hubble damping. In order to investigate if this mechanism works in more general cases, we analyze the stability of $T_2 \otimes T_2 \otimes T_2$ compactification in the context of massless string gas cosmology. We found that the volume moduli, the shape moduli, and the flux moduli are stabilized at the self dual point in the moduli space. Thus, it is proved that this simple compactification model is stable.
| 7.396628
| 7.696312
| 8.403692
| 7.034988
| 7.317442
| 7.136866
| 7.237796
| 7.518613
| 6.941954
| 8.281704
| 6.973174
| 7.121509
| 7.154389
| 6.916842
| 7.021401
| 7.076064
| 7.363341
| 7.047136
| 6.862617
| 7.322573
| 7.102866
|
2306.05074
|
Sudarshan Ananth
|
Sudarshan Ananth, Nipun Bhave, Chetan Pandey and Saurabh Pant
|
Deriving interaction vertices in higher derivative theories
|
25 pages, minor corrections, appendices added
|
Phys.Lett. B853 (2024) 138704
|
10.1016/j.physletb.2024.138704
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive cubic interaction vertices for a class of higher-derivative
theories involving three arbitrary integer spin fields. This derivation uses
the requirement of closure of the Poincar\`e algebra in four-dimensional flat
spacetime. We find two varieties of permitted structures at the cubic level and
eliminate one variety, which is proportional to the equations of motion, using
suitable field redefinitions. We then consider soft theorems for field theories
with higher-derivative interactions and construct amplitudes in these theories
using the inverse-soft approach.
|
[
{
"created": "Thu, 8 Jun 2023 09:53:15 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Oct 2023 10:04:28 GMT",
"version": "v2"
}
] |
2024-05-14
|
[
[
"Ananth",
"Sudarshan",
""
],
[
"Bhave",
"Nipun",
""
],
[
"Pandey",
"Chetan",
""
],
[
"Pant",
"Saurabh",
""
]
] |
We derive cubic interaction vertices for a class of higher-derivative theories involving three arbitrary integer spin fields. This derivation uses the requirement of closure of the Poincar\`e algebra in four-dimensional flat spacetime. We find two varieties of permitted structures at the cubic level and eliminate one variety, which is proportional to the equations of motion, using suitable field redefinitions. We then consider soft theorems for field theories with higher-derivative interactions and construct amplitudes in these theories using the inverse-soft approach.
| 12.553524
| 12.354846
| 13.569716
| 11.383457
| 12.10544
| 12.572226
| 12.645984
| 11.308585
| 11.932184
| 12.410111
| 12.286016
| 11.86742
| 12.274364
| 11.920491
| 12.238404
| 12.376934
| 12.241117
| 12.09523
| 12.274794
| 12.380404
| 11.833549
|
2005.07085
|
Vladimir Alexandrovich Krykhtin
|
I.L. Buchbinder, S. Fedoruk, A.P. Isaev, V.A. Krykhtin
|
Towards Lagrangian construction for infinite half-integer spin field
|
22 pages; v2: minor changes, references added, 23 pages
| null |
10.1016/j.nuclphysb.2020.115114
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We formulate the conditions for the generalized fields in the space with
additional commuting Weyl spinor coordinates which define the infinite
half-integer spin representation of the four-dimensional Poincar\'e group.
Using this formulation we develop the BRST approach and derive the Lagrangian
for the half-integer infinite spin fields.
|
[
{
"created": "Thu, 14 May 2020 15:52:13 GMT",
"version": "v1"
},
{
"created": "Thu, 21 May 2020 09:59:09 GMT",
"version": "v2"
}
] |
2020-08-26
|
[
[
"Buchbinder",
"I. L.",
""
],
[
"Fedoruk",
"S.",
""
],
[
"Isaev",
"A. P.",
""
],
[
"Krykhtin",
"V. A.",
""
]
] |
We formulate the conditions for the generalized fields in the space with additional commuting Weyl spinor coordinates which define the infinite half-integer spin representation of the four-dimensional Poincar\'e group. Using this formulation we develop the BRST approach and derive the Lagrangian for the half-integer infinite spin fields.
| 14.591
| 9.698426
| 13.712667
| 9.34901
| 10.248988
| 9.297709
| 11.026669
| 10.393663
| 9.734774
| 12.645661
| 10.084909
| 10.690222
| 12.437929
| 11.23649
| 11.319297
| 10.820408
| 11.047986
| 11.239052
| 11.06143
| 12.593022
| 10.563304
|
1209.0289
|
Aleksandr Zheltukhin
|
A. A. Zheltukhin
|
Laplace-Beltrami operator and exact solutions for branes
|
22 pages, v2: Section on folded p-branes and refs added; typos
corrected; minor corrections. To appear in Nucl. Phys. B
|
Nuclear Physics B 867 (2013) 763
|
10.1016/j.nuclphysb.2012.10.013
|
NORDITA-2012-64
|
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Proposed is a new approach to finding exact solutions of nonlinear $p$-brane
equations in $D$-dimensional Minkowski space based on the use of various
initial value constraints. It is shown that the constraints
$\Delta^{(p)}\vec{x}=0$ and $\Delta^{(p)}\vec{x}=-\Lambda(t,\sigma^r)\vec{x}$
give two sets of exact solutions.
|
[
{
"created": "Mon, 3 Sep 2012 10:10:35 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Oct 2012 11:53:14 GMT",
"version": "v2"
}
] |
2015-06-11
|
[
[
"Zheltukhin",
"A. A.",
""
]
] |
Proposed is a new approach to finding exact solutions of nonlinear $p$-brane equations in $D$-dimensional Minkowski space based on the use of various initial value constraints. It is shown that the constraints $\Delta^{(p)}\vec{x}=0$ and $\Delta^{(p)}\vec{x}=-\Lambda(t,\sigma^r)\vec{x}$ give two sets of exact solutions.
| 8.880317
| 10.266802
| 8.230865
| 7.504497
| 8.089135
| 7.900718
| 8.563865
| 7.564744
| 7.362325
| 9.02014
| 7.78954
| 7.536679
| 7.7542
| 7.517006
| 7.659839
| 7.944425
| 7.656651
| 7.858996
| 7.529965
| 8.063447
| 7.577719
|
2406.18357
|
Eduardo da Hora
|
J. Andrade, R. Casana, E. da Hora and A. C. Santos
|
Restricted baby Skyrme-Maxwell theory in a magnetic medium: BPS
configurations and some properties
|
15 pages, 6 figures. Suggestions are welcome. arXiv admin note: text
overlap with arXiv:2211.09216
| null | null | null |
hep-th nlin.PS
|
http://creativecommons.org/licenses/by/4.0/
|
We study the existence of BPS configurations in a restricted baby
Skyrme-Maxwell enlarged via the inclusion of a nontrivial magnetic
permeability. In order to attain such a goal, we use the
Bogomol'nyi-Prasad-Sommerfield prescription, which allows us to obtain the
lower bound for the energy and the BPS equations whose [electrically neutral]
solutions saturate that bound. During the energy minimization procedure, we
find a differential constraint which involves the self-dual potential, the
superpotential itself and also the magnetic permeability. In order to solve the
BPS system, we focus our attention on those solutions with rotational symmetry.
For that, we fix the magnetic permeability and select two BPS potentials which
exhibit a similar behavior near to the vacuum. We depict the resulting profiles
and proceed to an analytical description of the properties of the BPS magnetic
field. Furthermore, we consider some essential aspects of our model, such as
the conditions for the overall existence of the BPS solutions, and how the
permeability affects the magnetic flux. Finally, we present a family of exact
BPS solutions.
|
[
{
"created": "Wed, 26 Jun 2024 13:59:26 GMT",
"version": "v1"
}
] |
2024-06-27
|
[
[
"Andrade",
"J.",
""
],
[
"Casana",
"R.",
""
],
[
"da Hora",
"E.",
""
],
[
"Santos",
"A. C.",
""
]
] |
We study the existence of BPS configurations in a restricted baby Skyrme-Maxwell enlarged via the inclusion of a nontrivial magnetic permeability. In order to attain such a goal, we use the Bogomol'nyi-Prasad-Sommerfield prescription, which allows us to obtain the lower bound for the energy and the BPS equations whose [electrically neutral] solutions saturate that bound. During the energy minimization procedure, we find a differential constraint which involves the self-dual potential, the superpotential itself and also the magnetic permeability. In order to solve the BPS system, we focus our attention on those solutions with rotational symmetry. For that, we fix the magnetic permeability and select two BPS potentials which exhibit a similar behavior near to the vacuum. We depict the resulting profiles and proceed to an analytical description of the properties of the BPS magnetic field. Furthermore, we consider some essential aspects of our model, such as the conditions for the overall existence of the BPS solutions, and how the permeability affects the magnetic flux. Finally, we present a family of exact BPS solutions.
| 10.378231
| 8.665226
| 10.907065
| 8.822431
| 9.220107
| 9.130258
| 8.933688
| 8.332012
| 8.6555
| 11.431667
| 8.675029
| 9.216793
| 9.990023
| 9.404668
| 9.648355
| 9.669494
| 9.702899
| 9.45973
| 9.690869
| 10.305049
| 9.41141
|
hep-th/9810256
|
Shoichi Ichinose
|
Shoichi Ichinose and Noriaki Ikeda
|
Weyl Anomaly in Higher Dimensions and Feynman Rules in Coordinate Space
|
Many figures, 45 pages, some references added (v2)
|
J.Math.Phys. 40 (1999) 2259-2290
|
10.1063/1.532863
|
US-98-07, BNL-preprint
|
hep-th
| null |
An algorithm to obtain the Weyl anomaly in higher dimensions is presented. It
is based on the heat-kernel method. Feynman rules, such as the vertex rule and
the propagator rule, are given in (regularized) coordinate space. Graphical
calculation is introduced. The 6 dimensional scalar-gravity theory is taken as
an example, and its explicit result is obtained.
|
[
{
"created": "Fri, 30 Oct 1998 21:36:44 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Dec 1998 08:14:43 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Ichinose",
"Shoichi",
""
],
[
"Ikeda",
"Noriaki",
""
]
] |
An algorithm to obtain the Weyl anomaly in higher dimensions is presented. It is based on the heat-kernel method. Feynman rules, such as the vertex rule and the propagator rule, are given in (regularized) coordinate space. Graphical calculation is introduced. The 6 dimensional scalar-gravity theory is taken as an example, and its explicit result is obtained.
| 13.344213
| 11.563578
| 11.385754
| 10.767834
| 10.73294
| 12.350496
| 10.770709
| 11.300103
| 11.346519
| 11.464743
| 10.963461
| 11.384482
| 11.498214
| 10.900685
| 11.373492
| 10.986705
| 10.855837
| 10.985065
| 11.367921
| 11.451925
| 10.563249
|
1203.6522
|
Guglielmo Fucci Dr.
|
Guglielmo Fucci and Klaus Kirsten
|
The Casimir Effect for Generalized Piston Geometries
|
16 pages, LaTeX. To appear in the proceedings of the Conference on
Quantum Field Theory Under the Influence of External Conditions (QFEXT11).
Benasque, Spain, September 18-24, 2011
|
Int. J. Mod. Phys. A, 27 (2012) 1260008
|
10.1142/S0217751X12600081
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we study the Casimir energy and force for generalized pistons
constructed from warped product manifolds of the type $I\times_{f}N$ where
$I=[a,b]$ is an interval of the real line and $N$ is a smooth compact
Riemannian manifold either with or without boundary. The piston geometry is
obtained by dividing the warped product manifold into two regions separated by
the cross section positioned at $R\in(a,b)$. By exploiting zeta function
regularization techniques we provide formulas for the Casimir energy and force
involving the arbitrary warping function $f$ and base manifold $N$.
|
[
{
"created": "Thu, 29 Mar 2012 13:58:19 GMT",
"version": "v1"
}
] |
2012-06-15
|
[
[
"Fucci",
"Guglielmo",
""
],
[
"Kirsten",
"Klaus",
""
]
] |
In this paper we study the Casimir energy and force for generalized pistons constructed from warped product manifolds of the type $I\times_{f}N$ where $I=[a,b]$ is an interval of the real line and $N$ is a smooth compact Riemannian manifold either with or without boundary. The piston geometry is obtained by dividing the warped product manifold into two regions separated by the cross section positioned at $R\in(a,b)$. By exploiting zeta function regularization techniques we provide formulas for the Casimir energy and force involving the arbitrary warping function $f$ and base manifold $N$.
| 6.495399
| 5.97816
| 6.725276
| 5.757107
| 6.441354
| 6.154397
| 6.808431
| 6.558672
| 6.121224
| 7.042773
| 6.183108
| 6.276092
| 6.270535
| 6.139256
| 6.187357
| 6.08596
| 6.109221
| 6.341967
| 6.067988
| 6.498021
| 6.187761
|
1308.3398
|
Nobuyoshi Ohta
|
Nobuyoshi Ohta and Roberto Percacci
|
Higher Derivative Gravity and Asymptotic Safety in Diverse Dimensions
|
32 pages, 5 figures, v2: slightly modified and typos corrected.
Version to be published in Class. Quant. Grav
| null |
10.1088/0264-9381/31/1/015024
|
KU-TP 060
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive the one-loop beta functions for a theory of gravity with generic
action containing up to four derivatives. The calculation is done in arbitrary
dimension and on an arbitrary background. The special cases of three, four,
near four, five and six dimensions are discussed in some detail. We find that
the theories have nontrivial UV fixed points and are asymptotically safe in all
dimensions we study. We also find an indication that Weyl-invariant fixed point
exists in four dimensions. The new massive gravity in three dimensions does not
correspond to any fixed point.
|
[
{
"created": "Thu, 15 Aug 2013 14:01:02 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Nov 2013 08:48:16 GMT",
"version": "v2"
}
] |
2015-06-16
|
[
[
"Ohta",
"Nobuyoshi",
""
],
[
"Percacci",
"Roberto",
""
]
] |
We derive the one-loop beta functions for a theory of gravity with generic action containing up to four derivatives. The calculation is done in arbitrary dimension and on an arbitrary background. The special cases of three, four, near four, five and six dimensions are discussed in some detail. We find that the theories have nontrivial UV fixed points and are asymptotically safe in all dimensions we study. We also find an indication that Weyl-invariant fixed point exists in four dimensions. The new massive gravity in three dimensions does not correspond to any fixed point.
| 9.183363
| 7.446879
| 9.086359
| 8.358029
| 8.230576
| 8.671215
| 8.827258
| 7.934656
| 7.97415
| 9.665186
| 8.24118
| 8.637613
| 9.10683
| 8.782073
| 9.038461
| 9.281127
| 8.806931
| 8.574286
| 8.711123
| 9.361948
| 8.800299
|
1707.07172
|
Dibakar Roychowdhury
|
Dibakar Roychowdhury
|
Analytic integrability for strings on $ \eta $ and $ \lambda $ deformed
backgrounds
|
Version to appear in JHEP
|
JHEP 1710(2017)056
|
10.1007/JHEP10(2017)056
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, based on simple analytic techniques, we explore the
integrability conditions for classical stringy configurations defined over $
\eta $ as well as $ \lambda $- deformed backgrounds. We perform our analysis
considering classical string motions within various subsectors of the full
target space geometry. It turns out that classical string configurations
defined over $ \eta $- deformed backgrounds are non-integrable whereas on the
other hand, the corresponding configurations are integrable over the $ \lambda
$- deformed background. Our analysis therefore imposes a strong constraint on
the operator spectrum associated with the corresponding dual gauge theories at
strong coupling.
|
[
{
"created": "Sat, 22 Jul 2017 14:34:33 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Jul 2017 15:05:05 GMT",
"version": "v2"
},
{
"created": "Wed, 20 Sep 2017 14:50:11 GMT",
"version": "v3"
}
] |
2017-10-11
|
[
[
"Roychowdhury",
"Dibakar",
""
]
] |
In this paper, based on simple analytic techniques, we explore the integrability conditions for classical stringy configurations defined over $ \eta $ as well as $ \lambda $- deformed backgrounds. We perform our analysis considering classical string motions within various subsectors of the full target space geometry. It turns out that classical string configurations defined over $ \eta $- deformed backgrounds are non-integrable whereas on the other hand, the corresponding configurations are integrable over the $ \lambda $- deformed background. Our analysis therefore imposes a strong constraint on the operator spectrum associated with the corresponding dual gauge theories at strong coupling.
| 9.351594
| 7.897735
| 10.160476
| 8.098409
| 8.112779
| 7.764827
| 7.715148
| 7.554539
| 7.882124
| 10.178313
| 7.863841
| 7.984423
| 9.282776
| 8.512958
| 8.146691
| 8.18245
| 8.087639
| 8.294892
| 8.20222
| 9.580951
| 8.345206
|
1703.07435
|
Usman Naseer
|
Joseph A. Minahan and Usman Naseer
|
One-loop tests of supersymmetric gauge theories on spheres
|
14 pages. Minor modifications. References added
| null |
10.1007/JHEP07(2017)074
|
UUITP-08/17, MIT-CTP/4889
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that a recently conjectured form for perturbative supersymmetric
partition functions on spheres of general dimension $d$ is consistent with the
flat space limit of 6-dimensional $\mathcal{N}=1$ super Yang-Mills. We also
show that the partition functions for $\mathcal{N}=1$ 8- and 9-dimensional
theories are consistent with their known flat space limits.
|
[
{
"created": "Tue, 21 Mar 2017 21:17:15 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Jul 2017 00:11:42 GMT",
"version": "v2"
}
] |
2017-08-02
|
[
[
"Minahan",
"Joseph A.",
""
],
[
"Naseer",
"Usman",
""
]
] |
We show that a recently conjectured form for perturbative supersymmetric partition functions on spheres of general dimension $d$ is consistent with the flat space limit of 6-dimensional $\mathcal{N}=1$ super Yang-Mills. We also show that the partition functions for $\mathcal{N}=1$ 8- and 9-dimensional theories are consistent with their known flat space limits.
| 5.634169
| 5.429891
| 5.944463
| 5.380132
| 5.389816
| 5.738179
| 5.638087
| 5.90919
| 5.442064
| 6.584883
| 5.271523
| 5.631038
| 5.755767
| 5.360494
| 5.110065
| 5.38828
| 5.417562
| 5.487548
| 5.299394
| 5.790279
| 5.141245
|
1404.1299
|
Igor Bandos A.
|
Igor Bandos
|
Twistor/ambitwistor strings and null-superstrings in spacetime of D=4,10
and 11 dimensions
|
1+23 pages. V2: acknowledgments, one reference and two comments added
| null |
10.1007/JHEP09(2014)086
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that, at the classical level, the recently proposed `ambitwistor
string' model is equivalent to the spinor moving frame formulation of
null-supersting, which in its turn is equivalent to Siegel's formulation of
closed twistor string or to its higher dimensional generalizations. Although
the null-(super)string is usually considered as describing the tensionless
limit of (super)string, we show that its action can be derived from the spinor
moving frame formulation of superstring also in the infinite tension limit.
This observation allows us to argue on the absence of critical dimensions and
suggests that the (ambi)twistor string based technique(s) to calculate field
theory amplitudes can be developed not only in D=10 or 26, but also in D=11 and
other dimensions. The D=11 and D=10 twistor strings are described in some
details.
|
[
{
"created": "Fri, 4 Apr 2014 16:22:28 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Apr 2014 12:43:20 GMT",
"version": "v2"
}
] |
2015-06-19
|
[
[
"Bandos",
"Igor",
""
]
] |
We show that, at the classical level, the recently proposed `ambitwistor string' model is equivalent to the spinor moving frame formulation of null-supersting, which in its turn is equivalent to Siegel's formulation of closed twistor string or to its higher dimensional generalizations. Although the null-(super)string is usually considered as describing the tensionless limit of (super)string, we show that its action can be derived from the spinor moving frame formulation of superstring also in the infinite tension limit. This observation allows us to argue on the absence of critical dimensions and suggests that the (ambi)twistor string based technique(s) to calculate field theory amplitudes can be developed not only in D=10 or 26, but also in D=11 and other dimensions. The D=11 and D=10 twistor strings are described in some details.
| 10.175581
| 10.434176
| 12.459061
| 10.282348
| 11.225627
| 10.850629
| 10.545873
| 10.292046
| 9.91684
| 13.048736
| 9.633457
| 10.030727
| 10.141501
| 9.784695
| 10.128179
| 9.797447
| 10.166087
| 10.027942
| 9.838439
| 10.679082
| 10.086498
|
0911.2458
|
Lisa Freyhult
|
Lisa Freyhult, Adam Rej and Stefan Zieme
|
From weak coupling to spinning strings
|
23 pages, 3 figures, minor changes, references added
|
JHEP 1002:050,2010
|
10.1007/JHEP02(2010)050
|
AEI-2009-111, Imperial-TP-AR-2009-3, UUITP-24/09
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We identify the gauge theory dual of a spinning string of minimal energy with
spins S_1, S_2 on AdS_5 and charge J on S^5. For this purpose we focus on a
certain set of local operators with two different types of covariant
derivatives acting on complex scalar fields. We analyse the corresponding
nested Bethe equations for the ground states in the limit of large spins. The
auxiliary Bethe roots form certain string configurations in the complex plane,
which enable us to derive integral equations for the leading and sub-leading
contribution to the anomalous dimension. The results can be expressed through
the observables of the sl(2) sub-sector, i.e. the cusp anomaly f(g) and the
virtual scaling function B_L(g), rendering the strong-coupling analysis
straightforward. Furthermore, we also study a particular sub-class of these
operators specialising to a scaling limit with finite values of the second spin
at weak and strong coupling.
|
[
{
"created": "Thu, 12 Nov 2009 20:44:31 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Jan 2010 20:06:38 GMT",
"version": "v2"
}
] |
2010-02-26
|
[
[
"Freyhult",
"Lisa",
""
],
[
"Rej",
"Adam",
""
],
[
"Zieme",
"Stefan",
""
]
] |
We identify the gauge theory dual of a spinning string of minimal energy with spins S_1, S_2 on AdS_5 and charge J on S^5. For this purpose we focus on a certain set of local operators with two different types of covariant derivatives acting on complex scalar fields. We analyse the corresponding nested Bethe equations for the ground states in the limit of large spins. The auxiliary Bethe roots form certain string configurations in the complex plane, which enable us to derive integral equations for the leading and sub-leading contribution to the anomalous dimension. The results can be expressed through the observables of the sl(2) sub-sector, i.e. the cusp anomaly f(g) and the virtual scaling function B_L(g), rendering the strong-coupling analysis straightforward. Furthermore, we also study a particular sub-class of these operators specialising to a scaling limit with finite values of the second spin at weak and strong coupling.
| 10.852199
| 11.216424
| 13.342221
| 10.739164
| 11.367656
| 11.037805
| 11.28846
| 10.817318
| 9.670849
| 14.892953
| 11.018345
| 9.752263
| 11.328794
| 10.476995
| 10.184627
| 9.942298
| 10.207921
| 9.854816
| 10.426688
| 11.037073
| 9.937734
|
hep-th/0108097
|
Dmitri Diakonov
|
Dmitri Diakonov (Nordita and St. Petersburg NPI) and Victor Petrov
(St. Peterburg NPI)
|
Yang-Mills theory as a quantum gravity with `aether'
|
10 p., title changed, final version to be published in a special
issue of Gravitation and Cosmology to mark the 100th anniversary of Tomsk
University, ed. S. Odintsov
|
Grav.Cosmol. 8 (2002) 33-42
| null |
NORDITA-24 HE
|
hep-th gr-qc
| null |
Quantum Yang-Mills theory can be rewritten in terms of gauge-invariant
variables: it has the form of the so-called BF gravity, with an additional
`aether' term. The BF gravity based on the gauge group SU(N) is actually a
theory of high spin fields (up to J=N) with high local symmetry mixing up
fields with different spins -- like in supergravity but without fermions. At N
going to infinity one gets a theory with an infinite tower of spins related by
local symmetry, similar to what one has in string theory. We, thus, outline a
way to derive string theory from a local Yang-Mills theory in the large N
limit.
|
[
{
"created": "Tue, 14 Aug 2001 14:20:54 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Jan 2002 16:29:24 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Diakonov",
"Dmitri",
"",
"Nordita and St. Petersburg NPI"
],
[
"Petrov",
"Victor",
"",
"St. Peterburg NPI"
]
] |
Quantum Yang-Mills theory can be rewritten in terms of gauge-invariant variables: it has the form of the so-called BF gravity, with an additional `aether' term. The BF gravity based on the gauge group SU(N) is actually a theory of high spin fields (up to J=N) with high local symmetry mixing up fields with different spins -- like in supergravity but without fermions. At N going to infinity one gets a theory with an infinite tower of spins related by local symmetry, similar to what one has in string theory. We, thus, outline a way to derive string theory from a local Yang-Mills theory in the large N limit.
| 13.107311
| 12.583051
| 13.384724
| 11.14648
| 13.03847
| 12.460466
| 13.345269
| 12.363715
| 12.145251
| 13.518798
| 11.170652
| 12.002126
| 12.308418
| 11.985003
| 12.407905
| 12.339052
| 12.388618
| 12.091331
| 12.346371
| 12.440518
| 11.849886
|
0802.1557
|
Andrew Frey
|
Rebecca J. Danos, Andrew R. Frey, Robert H. Brandenberger
|
Stabilizing moduli with thermal matter and nonperturbative effects
|
13pg, 1 fig; v2. minor clarifications & reference additions
|
Phys.Rev.D77:126009,2008
|
10.1103/PhysRevD.77.126009
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Even with recent progress, it is still very much an open question to
understand how all compactification moduli are stabilized, since there are
several mechanisms. For example, it is possible to generate a scalar potential
either classically or through nonperturbative effects, such as gaugino
condensation. Such a potential can stabilize certain of the moduli fields, for
example the dilaton. On the other hand, a background of thermal matter with
moduli-dependent masses can also stabilize certain of the moduli, e.g., the
radion. It is important to understand whether these two distinct mechanisms are
compatible with each other, that is, that there are no interference terms that
could spoil the moduli stabilization. In this paper, we study heterotic string
theory on an N=1 orbifold near an enhanced symmetry point. We then consider
both a nonperturbatively generated potential and a gas of strings with
moduli-dependent masses to stabilize the dilaton and radial modulus,
respectively. We conclude that, given certain approximations, these two moduli
stabilization mechanisms are compatible.
|
[
{
"created": "Tue, 12 Feb 2008 02:53:03 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Apr 2008 19:19:55 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Danos",
"Rebecca J.",
""
],
[
"Frey",
"Andrew R.",
""
],
[
"Brandenberger",
"Robert H.",
""
]
] |
Even with recent progress, it is still very much an open question to understand how all compactification moduli are stabilized, since there are several mechanisms. For example, it is possible to generate a scalar potential either classically or through nonperturbative effects, such as gaugino condensation. Such a potential can stabilize certain of the moduli fields, for example the dilaton. On the other hand, a background of thermal matter with moduli-dependent masses can also stabilize certain of the moduli, e.g., the radion. It is important to understand whether these two distinct mechanisms are compatible with each other, that is, that there are no interference terms that could spoil the moduli stabilization. In this paper, we study heterotic string theory on an N=1 orbifold near an enhanced symmetry point. We then consider both a nonperturbatively generated potential and a gas of strings with moduli-dependent masses to stabilize the dilaton and radial modulus, respectively. We conclude that, given certain approximations, these two moduli stabilization mechanisms are compatible.
| 7.699047
| 7.700803
| 7.561202
| 7.258251
| 7.620811
| 7.970954
| 7.433212
| 7.543188
| 6.901553
| 7.523071
| 7.355539
| 7.044108
| 7.153681
| 7.130702
| 7.310853
| 7.345961
| 7.4154
| 7.134005
| 7.042789
| 7.002638
| 7.284608
|
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