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2024-08-16 00:00:00
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2.01k
| perplexity_Llama-3.1-8B
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float64 2.9
431
| perplexity_s4-L-3.1-8B-base
float64 2.88
422
| perplexity_s5-L-3.1-8B-base
float64 2.95
414
| perplexity_s6-L-3.1-8B-base
float64 2.99
340
| perplexity_s7-L-3.1-8B-base
float64 2.91
467
| perplexity_s8-L-3.1-8B-base
float64 2.89
220
| perplexity_s9-L-3.1-8B-base
float64 3.21
1.68k
| perplexity_s10-L-3.1-8B-base
float64 2.98
600
| perplexity_s1-L-3.1-8B-qkv_v2
float64 2.92
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| perplexity_s2-L-3.1-8B-qkv
float64 3.05
621
| perplexity_s3-L-3.1-8B-qkv
float64 2.96
631
| perplexity_s4-L-3.1-8B-qkv
float64 2.86
570
| perplexity_s5-L-3.1-8B-qkv
float64 2.93
558
| perplexity_s6-L-3.1-8B-qkv
float64 2.96
669
| perplexity_s7-L-3.1-8B-qkv2
float64 2.95
682
| perplexity_s8-L-3.1-8B-qkv
float64 2.92
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|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1309.0266
|
Mahdi Godazgar
|
Hadi Godazgar, Mahdi Godazgar, Hermann Nicolai
|
Non-linear Kaluza-Klein theory for dual fields
|
26 pages
| null |
10.1103/PhysRevD.88.125002
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present non-linear uplift ansaetze for all the bosonic degrees of freedom
and dual fields in the 7-sphere reduction of D=11 supergravity to maximal SO(8)
gauged supergravity and test them for the SO$(7)^{\pm}$ invariant solutions. In
particular, we complete the known ansaetze for the internal components of the
metric and 4-form flux by constructing a non-linear ansatz for the internal
components of the dual 7-form flux. Furthermore, we provide ansaetze for the
complete set of 56 vector fields, which are given by more general structures
than those available from standard Kaluza-Klein theory. The novel features
encountered here have no conventional geometric interpretation and provide a
new perspective on Kaluza-Klein theory. We study the recently found set of
generalised vielbein postulates and, for the 7-sphere compactification, we show
that they reduce to the E7(7) Cartan equation of maximal SO(8) gauged
supergravity in four dimensions. The significance of this framework for a
higher-dimensional understanding of the embedding tensor and other gauged
maximal supergravities is briefly discussed.
|
[
{
"created": "Sun, 1 Sep 2013 21:18:51 GMT",
"version": "v1"
}
] |
2015-06-17
|
[
[
"Godazgar",
"Hadi",
""
],
[
"Godazgar",
"Mahdi",
""
],
[
"Nicolai",
"Hermann",
""
]
] |
We present non-linear uplift ansaetze for all the bosonic degrees of freedom and dual fields in the 7-sphere reduction of D=11 supergravity to maximal SO(8) gauged supergravity and test them for the SO$(7)^{\pm}$ invariant solutions. In particular, we complete the known ansaetze for the internal components of the metric and 4-form flux by constructing a non-linear ansatz for the internal components of the dual 7-form flux. Furthermore, we provide ansaetze for the complete set of 56 vector fields, which are given by more general structures than those available from standard Kaluza-Klein theory. The novel features encountered here have no conventional geometric interpretation and provide a new perspective on Kaluza-Klein theory. We study the recently found set of generalised vielbein postulates and, for the 7-sphere compactification, we show that they reduce to the E7(7) Cartan equation of maximal SO(8) gauged supergravity in four dimensions. The significance of this framework for a higher-dimensional understanding of the embedding tensor and other gauged maximal supergravities is briefly discussed.
| 8.670427
| 7.842096
| 9.228826
| 7.795599
| 7.854878
| 8.264126
| 7.601018
| 8.021442
| 7.818292
| 10.158957
| 7.329906
| 8.094239
| 8.635602
| 8.051723
| 8.046284
| 8.168642
| 7.913589
| 7.941833
| 7.867834
| 8.731331
| 8.107745
|
1712.07123
|
Samuel McCandlish
|
Bartlomiej Czech, Lampros Lamprou, Samuel McCandlish, James Sully
|
Modular Berry Connection
|
5 pages, 2 figures. Some clarifications added
|
Phys. Rev. Lett. 120, 091601 (2018)
|
10.1103/PhysRevLett.120.091601
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Berry connection describes transformations induced by adiabatically
varying Hamiltonians. We study how zero modes of the modular Hamiltonian are
affected by varying the region that supplies the modular Hamiltonian. In the
vacuum of a 2d CFT, global conformal symmetry singles out a unique modular
Berry connection, which we compute directly and in the dual AdS$_3$ picture. In
certain cases, Wilson loops of the modular Berry connection compute lengths of
curves in AdS$_3$, reproducing the differential entropy formula. Modular Berry
transformations can be measured by bulk observers moving with varying
accelerations.
|
[
{
"created": "Tue, 19 Dec 2017 19:00:00 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Dec 2017 01:47:06 GMT",
"version": "v2"
}
] |
2018-03-07
|
[
[
"Czech",
"Bartlomiej",
""
],
[
"Lamprou",
"Lampros",
""
],
[
"McCandlish",
"Samuel",
""
],
[
"Sully",
"James",
""
]
] |
The Berry connection describes transformations induced by adiabatically varying Hamiltonians. We study how zero modes of the modular Hamiltonian are affected by varying the region that supplies the modular Hamiltonian. In the vacuum of a 2d CFT, global conformal symmetry singles out a unique modular Berry connection, which we compute directly and in the dual AdS$_3$ picture. In certain cases, Wilson loops of the modular Berry connection compute lengths of curves in AdS$_3$, reproducing the differential entropy formula. Modular Berry transformations can be measured by bulk observers moving with varying accelerations.
| 16.917599
| 15.353212
| 17.060755
| 12.720293
| 14.651991
| 15.863498
| 15.691175
| 12.74673
| 14.51509
| 16.325918
| 12.960143
| 13.889421
| 14.853143
| 13.325601
| 13.889287
| 13.841231
| 14.192177
| 13.206438
| 13.491622
| 13.898592
| 13.724174
|
1610.07134
|
Jian-dong Zhang
|
Jian-dong Zhang, Bin Chen
|
Kinematic Space and Wormholes
|
31 pages, 20 figures, published version
|
Journal of High Energy Physics, 2017(1), 1-27
|
10.1007/JHEP01(2017)092
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The kinematic space could play a key role in constructing the bulk geometry
from dual CFT. In this paper, we study the kinematic space from geometric
points of view, without resorting to differential entropy. We find that the
kinematic space could be intrinsically defined in the embedding space. For each
oriented geodesic in the Poincar\'e disk, there is a corresponding point in the
kinematic space. This point is the tip of the causal diamond of the disk whose
intersection with the Poincar\'e disk determines the geodesic. In this
geometric construction, the causal structure in the kinematic space can be seen
clearly. Moreover, we find that every transformation in the $SL(2,\mathbb{R})$
leads to a geodesic in the kinematic space. In particular, for a hyperbolic
transformation defining a BTZ black hole, it is a timelike geodesic in the
kinematic space. We show that the horizon length of the static BTZ black hole
could be computed by the geodesic length of corresponding points in the
kinematic space. Furthermore, we discuss the fundamental regions in the
kinematic space for the BTZ blackhole and multi-boundary wormholes.
|
[
{
"created": "Sun, 23 Oct 2016 09:04:35 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Jan 2017 03:20:37 GMT",
"version": "v2"
}
] |
2017-02-01
|
[
[
"Zhang",
"Jian-dong",
""
],
[
"Chen",
"Bin",
""
]
] |
The kinematic space could play a key role in constructing the bulk geometry from dual CFT. In this paper, we study the kinematic space from geometric points of view, without resorting to differential entropy. We find that the kinematic space could be intrinsically defined in the embedding space. For each oriented geodesic in the Poincar\'e disk, there is a corresponding point in the kinematic space. This point is the tip of the causal diamond of the disk whose intersection with the Poincar\'e disk determines the geodesic. In this geometric construction, the causal structure in the kinematic space can be seen clearly. Moreover, we find that every transformation in the $SL(2,\mathbb{R})$ leads to a geodesic in the kinematic space. In particular, for a hyperbolic transformation defining a BTZ black hole, it is a timelike geodesic in the kinematic space. We show that the horizon length of the static BTZ black hole could be computed by the geodesic length of corresponding points in the kinematic space. Furthermore, we discuss the fundamental regions in the kinematic space for the BTZ blackhole and multi-boundary wormholes.
| 5.837049
| 5.958469
| 6.256901
| 5.733759
| 5.746568
| 5.827245
| 5.618681
| 5.889046
| 5.606903
| 6.439589
| 5.656598
| 5.571982
| 5.964855
| 5.749131
| 5.788221
| 5.656576
| 5.624784
| 5.536543
| 5.684372
| 5.941823
| 5.443946
|
hep-th/0101156
|
Mark Wellmann
|
M. Wellmann
|
Infrared Behaviour of Massive Scalar Matter coupled to Gravity
|
21 pages, some mistakes corrected
|
Annals Phys. 294 (2001) 48-66
|
10.1006/aphy.2001.6192
|
ZU-TH 5/01
|
hep-th
| null |
In the framework of causal perturbation theory we consider a massive scalar
field coupled to gravity. In the field theoretic approach to quantum gravity
(QG) we start with a massless second rank tensor field. This tensor field is
then quantized in a covariant way in Minkowski space. This article deals with
the adiabatic limit for graviton radiative corrections in a scattering process
of two massive scalar particles. We compute the differential cross-section for
bremsstrahlung processes in which one of the outgoing particles emites a
graviton of low energy, a so called soft graviton. Since the emited graviton
will not be detected we have to integrate over all soft gravitons.
|
[
{
"created": "Wed, 24 Jan 2001 11:18:51 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Jan 2001 14:42:58 GMT",
"version": "v2"
},
{
"created": "Thu, 1 Feb 2001 16:58:25 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Wellmann",
"M.",
""
]
] |
In the framework of causal perturbation theory we consider a massive scalar field coupled to gravity. In the field theoretic approach to quantum gravity (QG) we start with a massless second rank tensor field. This tensor field is then quantized in a covariant way in Minkowski space. This article deals with the adiabatic limit for graviton radiative corrections in a scattering process of two massive scalar particles. We compute the differential cross-section for bremsstrahlung processes in which one of the outgoing particles emites a graviton of low energy, a so called soft graviton. Since the emited graviton will not be detected we have to integrate over all soft gravitons.
| 8.936147
| 7.850329
| 8.532216
| 7.892357
| 8.059773
| 8.064687
| 8.067385
| 7.964562
| 8.481376
| 8.902941
| 7.716992
| 8.455434
| 8.415532
| 8.267752
| 8.646746
| 8.175047
| 8.119138
| 8.412467
| 8.453726
| 8.593831
| 7.933095
|
hep-th/9305103
|
Abel.
|
S.A.Abel and C.M.A.Scheich
|
Classification of (2,2) Compactification in Fermionic Strings
|
13 Pages, Latex, RAL-93-033
|
Phys.Lett.B312:423-432,1993
|
10.1016/0370-2693(93)90978-Q
| null |
hep-th
| null |
Replaced with revised (uncorrupted) version We present a general scheme for
generating (2,2) symmetric fermionic string models and classify the models in
D=8 and D=6 space time dimensions. We discuss the relationship to other
compactification schemes.
|
[
{
"created": "Fri, 21 May 1993 12:25:00 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Jun 1993 17:37:00 GMT",
"version": "v2"
}
] |
2010-11-01
|
[
[
"Abel",
"S. A.",
""
],
[
"Scheich",
"C. M. A.",
""
]
] |
Replaced with revised (uncorrupted) version We present a general scheme for generating (2,2) symmetric fermionic string models and classify the models in D=8 and D=6 space time dimensions. We discuss the relationship to other compactification schemes.
| 26.110018
| 17.811247
| 24.141119
| 19.265732
| 20.878754
| 23.611843
| 19.046852
| 20.618513
| 19.597506
| 26.330278
| 18.663574
| 18.804829
| 21.302166
| 19.151831
| 19.070599
| 19.274448
| 19.048237
| 18.615326
| 20.081329
| 21.123642
| 19.035934
|
1410.2977
|
Sergei Parkhomenko
|
S. E. Parkhomenko
|
Kazama-Suzuki Models of N=2 Superconformal Field Theory and Manin
triples
|
7 pages, LaTex, no figures. Some comments and reference added
| null |
10.1134/S0021364014200089
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Kazama-Suzuki coset models is an interesting class of N=2 supersymmetric
models of conformal field theory which are used to build realistic models of
superstring in 4 dimensions. We formulate Kazama-Suzuki construction of N=2
superconformal coset models using more general language of Manin triples and
represent the corresponding N=2 Virasoro superalgebra currents in explicit
form. A correspondence between the Kazama-Suzuki models and Poisson homogeneous
spaces is established also.
|
[
{
"created": "Sat, 11 Oct 2014 09:13:55 GMT",
"version": "v1"
},
{
"created": "Sat, 8 Nov 2014 15:32:34 GMT",
"version": "v2"
}
] |
2015-06-23
|
[
[
"Parkhomenko",
"S. E.",
""
]
] |
Kazama-Suzuki coset models is an interesting class of N=2 supersymmetric models of conformal field theory which are used to build realistic models of superstring in 4 dimensions. We formulate Kazama-Suzuki construction of N=2 superconformal coset models using more general language of Manin triples and represent the corresponding N=2 Virasoro superalgebra currents in explicit form. A correspondence between the Kazama-Suzuki models and Poisson homogeneous spaces is established also.
| 9.083279
| 7.227335
| 8.861766
| 7.35366
| 7.154844
| 7.737373
| 7.588028
| 7.230556
| 7.039611
| 8.958774
| 7.43913
| 7.024874
| 7.101107
| 6.955181
| 6.703918
| 7.030725
| 7.023359
| 6.792944
| 7.143281
| 7.115163
| 7.002906
|
0903.3009
|
Yu-Chieh Chung
|
Ching-Ming Chen, Yu-Chieh Chung
|
A Note on Local GUT Models in F-Theory
|
33 pages, 6 tables; form adjusted, typos corrected, reference added,
and new examples presented
|
Nucl.Phys.B824:273-295,2010
|
10.1016/j.nuclphysb.2009.09.008
|
MIFP-09-12
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct non-minimal GUT local models in the F-theory configuration. The
gauge group on the bulk G_S is one rank higher than the GUT gauge group. The
line bundles on the curves are non-trivial to break G_S down to the GUT gauge
groups. We demonstrate examples of SU(5) GUT from G_S=SU(6) and G_S=SO(10), the
flipped SU(5) from G_S=SO(10), and the SO(10) GUT from G_S=SO(12) and G_S=E_6.
We obtain complete GUT matter spectra and couplings, with minimum exotic matter
contents. GUT gauge group breaking to MSSM is achievable by instanton
configurations.
|
[
{
"created": "Tue, 17 Mar 2009 17:47:29 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Nov 2009 17:04:56 GMT",
"version": "v2"
}
] |
2011-01-21
|
[
[
"Chen",
"Ching-Ming",
""
],
[
"Chung",
"Yu-Chieh",
""
]
] |
We construct non-minimal GUT local models in the F-theory configuration. The gauge group on the bulk G_S is one rank higher than the GUT gauge group. The line bundles on the curves are non-trivial to break G_S down to the GUT gauge groups. We demonstrate examples of SU(5) GUT from G_S=SU(6) and G_S=SO(10), the flipped SU(5) from G_S=SO(10), and the SO(10) GUT from G_S=SO(12) and G_S=E_6. We obtain complete GUT matter spectra and couplings, with minimum exotic matter contents. GUT gauge group breaking to MSSM is achievable by instanton configurations.
| 7.970561
| 7.580374
| 7.994446
| 7.284696
| 8.287839
| 7.385983
| 7.985722
| 7.923927
| 7.567991
| 7.745783
| 7.54116
| 7.505832
| 7.729598
| 7.524357
| 7.550247
| 7.632093
| 7.49879
| 7.595695
| 7.584594
| 7.713224
| 7.426661
|
hep-th/0010210
|
Ayse Kizilersu
|
A. Bashir, A. Kizilersu and M.R. Pennington
|
Does the weak coupling limit of the Burden-Tjiang deconstruction of the
massless quenched QED3 vertex agree with perturbation theory?
|
11 Pages, 2 Figures
|
Phys.Rev.D62:085002,2000
|
10.1103/PhysRevD.62.085002
|
ADP-00-29/T412, DTP-00/30
|
hep-th hep-ph
| null |
We derive constraints on the non-perturbative 3-point fermion-boson
transverse vertex in massless QED3 from its perturbative calculation to order
$\alpha$. We also check the transversality condition to two loops and evaluate
the fermion propagator to the same order. We compare a conjecture of the
non-perturbative vertex by Burden and Tjiang against our results and comment on
its draw backs. Our calculation calls for the need to construct a
non-perturbative form for the fermion-boson vertex which agrees with its
perturbative limit to ${\cal O}(\alpha)$.
|
[
{
"created": "Tue, 24 Oct 2000 09:24:46 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Bashir",
"A.",
""
],
[
"Kizilersu",
"A.",
""
],
[
"Pennington",
"M. R.",
""
]
] |
We derive constraints on the non-perturbative 3-point fermion-boson transverse vertex in massless QED3 from its perturbative calculation to order $\alpha$. We also check the transversality condition to two loops and evaluate the fermion propagator to the same order. We compare a conjecture of the non-perturbative vertex by Burden and Tjiang against our results and comment on its draw backs. Our calculation calls for the need to construct a non-perturbative form for the fermion-boson vertex which agrees with its perturbative limit to ${\cal O}(\alpha)$.
| 9.702797
| 11.12745
| 8.67216
| 7.920068
| 9.762362
| 9.796728
| 9.010557
| 9.295095
| 8.11967
| 10.159872
| 9.345865
| 8.772529
| 9.253255
| 8.453543
| 8.806881
| 9.207031
| 9.003623
| 9.024183
| 8.771081
| 9.187243
| 8.77503
|
0710.0612
|
Ryan Kerner
|
Ryan Kerner, R.B. Mann
|
Fermions Tunnelling from Black Holes
|
22 pages, v2: added references, v3: fixed minor typos, v4: added a
new section applying fermion tunnelling method to Kruskal-Szekers
coordinates, fixed minor typo, and added references, v5: modified
introduction and conclusion, fixed typos
|
Class.Quant.Grav.25:095014,2008
|
10.1088/0264-9381/25/9/095014
| null |
hep-th
| null |
We investigate the tunnelling of spin 1/2 particles through event horizons.
We first apply the tunnelling method to Rindler spacetime and obtain the Unruh
temperature. We then apply fermion tunnelling to a general non-rotating black
hole metric and show that the Hawking temperature is recovered.
|
[
{
"created": "Tue, 2 Oct 2007 19:39:02 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Oct 2007 19:40:57 GMT",
"version": "v2"
},
{
"created": "Mon, 22 Oct 2007 18:59:48 GMT",
"version": "v3"
},
{
"created": "Tue, 15 Jan 2008 19:54:01 GMT",
"version": "v4"
},
{
"created": "Mon, 17 Mar 2008 23:15:10 GMT",
"version": "v5"
}
] |
2008-11-26
|
[
[
"Kerner",
"Ryan",
""
],
[
"Mann",
"R. B.",
""
]
] |
We investigate the tunnelling of spin 1/2 particles through event horizons. We first apply the tunnelling method to Rindler spacetime and obtain the Unruh temperature. We then apply fermion tunnelling to a general non-rotating black hole metric and show that the Hawking temperature is recovered.
| 6.436697
| 5.045715
| 4.953137
| 4.767077
| 5.062099
| 4.751866
| 4.472202
| 4.398141
| 5.006311
| 4.953859
| 4.774048
| 5.164166
| 5.23068
| 5.105345
| 5.060647
| 5.108863
| 5.316356
| 4.944972
| 5.409942
| 5.42311
| 5.191036
|
hep-th/9901089
|
Nikita Nekrassov
|
A. Gorsky, N. Nekrasov, V. Rubtsov
|
Hilbert Schemes, Separated Variables, and D-Branes
|
harvmac, 27 pp. big mode; v2. typos and references corrected
|
Commun.Math.Phys. 222 (2001) 299-318
|
10.1007/s002200100503
|
ITEP-TH-36/97, HUTP-A036/98, Mittag-Leffler-9/98
|
hep-th
| null |
We explain Sklyanin's separation of variables in geometrical terms and
construct it for Hitchin and Mukai integrable systems. We construct Hilbert
schemes of points on $T^{*}\Sigma$ for $\Sigma = {\IC}, {\IC}^{*}$ or elliptic
curve, and on ${\bf C}^{2}/{\Gamma}$ and show that their complex deformations
are integrable systems of Calogero-Sutherland-Moser type. We present the
hyperk\"ahler quotient constructions for Hilbert schemes of points on cotangent
bundles to the higher genus curves, utilizing the results of Hurtubise,
Kronheimer and Nakajima. Finally we discuss the connections to physics of
$D$-branes and string duality.
|
[
{
"created": "Wed, 20 Jan 1999 17:22:19 GMT",
"version": "v1"
},
{
"created": "Sat, 6 Feb 1999 23:36:35 GMT",
"version": "v2"
},
{
"created": "Wed, 5 May 1999 02:45:45 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Gorsky",
"A.",
""
],
[
"Nekrasov",
"N.",
""
],
[
"Rubtsov",
"V.",
""
]
] |
We explain Sklyanin's separation of variables in geometrical terms and construct it for Hitchin and Mukai integrable systems. We construct Hilbert schemes of points on $T^{*}\Sigma$ for $\Sigma = {\IC}, {\IC}^{*}$ or elliptic curve, and on ${\bf C}^{2}/{\Gamma}$ and show that their complex deformations are integrable systems of Calogero-Sutherland-Moser type. We present the hyperk\"ahler quotient constructions for Hilbert schemes of points on cotangent bundles to the higher genus curves, utilizing the results of Hurtubise, Kronheimer and Nakajima. Finally we discuss the connections to physics of $D$-branes and string duality.
| 11.659679
| 11.260136
| 15.074091
| 10.41941
| 11.70913
| 10.258481
| 12.09948
| 10.353411
| 9.85725
| 13.499624
| 9.989213
| 10.183692
| 11.797
| 10.028516
| 9.854071
| 10.628076
| 10.587234
| 10.554358
| 10.244867
| 11.659318
| 10.746682
|
hep-th/0411133
|
Gero von Gersdorff
|
G. von Gersdorff, L. Pilo, M. Quiros, A. Riotto and V. Sanz
|
Supersymmetry from Boundary Conditions
|
17 pages, v2: affiliations corrected
|
Nucl.Phys. B712 (2005) 3-19
|
10.1016/j.nuclphysb.2005.01.004
| null |
hep-th
| null |
We study breaking and restoration of supersymmetry in five-dimensional
theories by determining the mass spectrum of fermions from their equations of
motion. Boundary conditions can be obtained from either the action principle by
extremizing an appropriate boundary action (interval approach) or by assigning
parities to the fields (orbifold approach). In the former, fields extend
continuously from the bulk to the boundaries, while in the latter the presence
of brane mass-terms cause fields to jump when one moves across the branes. We
compare the two approaches and in particular we carefully compute the
non-trivial jump profiles of the wavefunctions in the orbifold picture for very
general brane mass terms. We also include the effect of the Scherk-Schwarz
mechanism in either approach and point out that for a suitable tuning of the
boundary actions supersymmetry is present for arbitrary values of the
Scherk-Schwarz parameter. As an application of the interval formalism we
construct bulk and boundary actions for super Yang-Mills theory. Finally we
extend our results to the warped Randall-Sundrum background.
|
[
{
"created": "Fri, 12 Nov 2004 19:23:39 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Nov 2004 15:58:02 GMT",
"version": "v2"
}
] |
2010-04-05
|
[
[
"von Gersdorff",
"G.",
""
],
[
"Pilo",
"L.",
""
],
[
"Quiros",
"M.",
""
],
[
"Riotto",
"A.",
""
],
[
"Sanz",
"V.",
""
]
] |
We study breaking and restoration of supersymmetry in five-dimensional theories by determining the mass spectrum of fermions from their equations of motion. Boundary conditions can be obtained from either the action principle by extremizing an appropriate boundary action (interval approach) or by assigning parities to the fields (orbifold approach). In the former, fields extend continuously from the bulk to the boundaries, while in the latter the presence of brane mass-terms cause fields to jump when one moves across the branes. We compare the two approaches and in particular we carefully compute the non-trivial jump profiles of the wavefunctions in the orbifold picture for very general brane mass terms. We also include the effect of the Scherk-Schwarz mechanism in either approach and point out that for a suitable tuning of the boundary actions supersymmetry is present for arbitrary values of the Scherk-Schwarz parameter. As an application of the interval formalism we construct bulk and boundary actions for super Yang-Mills theory. Finally we extend our results to the warped Randall-Sundrum background.
| 9.242528
| 9.82848
| 9.225252
| 8.72971
| 9.608804
| 9.649697
| 9.230731
| 9.37405
| 9.447237
| 10.245397
| 9.095544
| 9.172034
| 9.371717
| 9.064829
| 9.3286
| 9.493544
| 9.411175
| 9.181331
| 9.425598
| 9.362773
| 9.102801
|
1210.7452
|
S. E. Korenblit
|
S.E. Korenblit, V.V. Semenov
|
On the origin of superselection rules and different solutions of
Thirring model
|
8 pages
|
Phys. Part. Nuc. Lett. 2012, Vol.9
|
10.1134/S1547477112070102
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The normal forms of different one- and two- parametric solutions of Thirring
model are connected with each other by making use of generalized conformal
shift transformations. A new alternative sources of superselection rules are
shown and the ways of spontaneous symmetry breaking are discussed.
|
[
{
"created": "Sun, 28 Oct 2012 12:26:07 GMT",
"version": "v1"
}
] |
2015-06-11
|
[
[
"Korenblit",
"S. E.",
""
],
[
"Semenov",
"V. V.",
""
]
] |
The normal forms of different one- and two- parametric solutions of Thirring model are connected with each other by making use of generalized conformal shift transformations. A new alternative sources of superselection rules are shown and the ways of spontaneous symmetry breaking are discussed.
| 30.422132
| 37.001648
| 29.518476
| 28.64551
| 30.70952
| 27.542095
| 36.007118
| 27.947268
| 28.162277
| 31.606134
| 28.712141
| 29.545551
| 31.533712
| 29.317259
| 29.331858
| 28.726166
| 29.548855
| 27.683434
| 29.633911
| 30.17304
| 26.952446
|
1710.04629
|
Vladimir Vereshagin V.
|
Vladimir V.Vereshagin
|
True self energy function and reducibility in effective scalar theories.
(Revised)
|
8 pages, 2 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This is the revised version of Sect. I - IV of the paper
https://doi.org/10.1103/PhysRevD.89.125022 originally published in 2014. The
thing is that in https://doi.org/10.1103/PhysRevD.89.125022 the text was
insufficiently clear and, in addition, it contained (through my fault) a few
typos. This is the reason why I decided to offer a revised version.
Original abstract: This is the eighth paper in the series devoted to the
systematic study of effective theories. Below, I discuss the renormalization of
the one-loop two-leg functions in multicomponent effective scalar theory. It is
shown that only a part of numerous contributions that appear in the general
expression for a two-leg graph can be considered as the true self-energy
function. This part is completely fixed by the values of minimal coupling
constants; it is the only one that should be taken into account in the
conventional process of the summation of Dyson's chain that results in explicit
expression for the full propagator. The other parts provide the well-defined
finite corrections for the graphs with the number of legs n > 2. It is also
shown that there is no need to attract the renormalization prescriptions for
the higher derivatives of the two-leg function on the mass shell; the
requirements of finiteness and diagonability turn out to be quite sufficient.
|
[
{
"created": "Thu, 12 Oct 2017 17:30:05 GMT",
"version": "v1"
},
{
"created": "Sun, 15 Oct 2017 12:23:55 GMT",
"version": "v2"
}
] |
2017-10-17
|
[
[
"Vereshagin",
"Vladimir V.",
""
]
] |
This is the revised version of Sect. I - IV of the paper https://doi.org/10.1103/PhysRevD.89.125022 originally published in 2014. The thing is that in https://doi.org/10.1103/PhysRevD.89.125022 the text was insufficiently clear and, in addition, it contained (through my fault) a few typos. This is the reason why I decided to offer a revised version. Original abstract: This is the eighth paper in the series devoted to the systematic study of effective theories. Below, I discuss the renormalization of the one-loop two-leg functions in multicomponent effective scalar theory. It is shown that only a part of numerous contributions that appear in the general expression for a two-leg graph can be considered as the true self-energy function. This part is completely fixed by the values of minimal coupling constants; it is the only one that should be taken into account in the conventional process of the summation of Dyson's chain that results in explicit expression for the full propagator. The other parts provide the well-defined finite corrections for the graphs with the number of legs n > 2. It is also shown that there is no need to attract the renormalization prescriptions for the higher derivatives of the two-leg function on the mass shell; the requirements of finiteness and diagonability turn out to be quite sufficient.
| 10.248173
| 11.032454
| 10.903989
| 10.628765
| 11.684656
| 11.822746
| 11.750464
| 10.663211
| 10.618425
| 11.204384
| 10.925035
| 10.105876
| 10.103789
| 10.0771
| 10.282627
| 10.651698
| 10.007931
| 10.416715
| 10.256512
| 10.079829
| 10.203981
|
hep-th/9903178
|
Max Banados
|
Maximo Banados
|
Twisted sectors in three-dimensional gravity
|
An unnecessary restriction removed. To appear in PRD. Revtex, no
figures, 20 pp
|
Phys. Rev. D 60, 104022 (1999)
|
10.1103/PhysRevD.60.104022
| null |
hep-th
| null |
Twisted sectors --solutions to the equations of motion with non-trivial
monodromies-- of three dimensional Euclidean gravity are studied. We argue that
upon quantization this new sector of the theory provides the necessary (and no
more) degrees of freedom to account for the Bekenstein-Hawking entropy.
|
[
{
"created": "Mon, 22 Mar 1999 16:03:18 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Apr 1999 12:22:14 GMT",
"version": "v2"
},
{
"created": "Thu, 24 Jun 1999 15:51:04 GMT",
"version": "v3"
}
] |
2016-08-25
|
[
[
"Banados",
"Maximo",
""
]
] |
Twisted sectors --solutions to the equations of motion with non-trivial monodromies-- of three dimensional Euclidean gravity are studied. We argue that upon quantization this new sector of the theory provides the necessary (and no more) degrees of freedom to account for the Bekenstein-Hawking entropy.
| 11.466545
| 9.272307
| 9.325277
| 9.234597
| 9.510776
| 9.050142
| 8.69827
| 8.099224
| 8.776236
| 10.107435
| 8.814573
| 8.504151
| 8.516301
| 8.471041
| 8.678276
| 8.837399
| 8.302868
| 8.172441
| 8.499861
| 8.411897
| 8.765144
|
hep-th/0008029
| null |
Hitoshi Nishino
|
Supersymmetric Yang-Mills Theory in Eleven Dimensions
|
15 pages, latex
|
Phys.Lett. B492 (2000) 201-213
|
10.1016/S0370-2693(00)01057-1
|
UMDEPP 00-087
|
hep-th
| null |
We present a Lorentz invariant lagrangian formulation for a supersymmetric
Yang-Mills vector multiplet in eleven dimensions (11D). The Lorentz symmetry is
broken at the field equation level, and therefore the breaking is spontaneous,
as in other formulations of supersymmetric theories in 12D or higher
dimensions. We introduce a space-like unit vector formed by the gradient of a
scalar field, avoiding the problem of Lorentz non-invariance at the lagrangian
level, which is also an analog of non-commutative geometry with constant field
strengths breaking Lorentz covariance. The constancy of the space-like unit
vector field is implied by the field equation of a multiplier field. The field
equations for the physical fields are formally the same as those of 10D
supersymmetric Yang-Mills multiplet, but now with some constraints on these
fields for supersymmetric consistency. This formulation also utilizes the
multiplier fields accompanied by the bilinear forms of constraints, such that
these multiplier fields will not interfere with the physical field equations.
Based on this component result, we also present a $\k$-symmetric supermembrane
action with the supersymmetric Yang-Mills backgrounds.
|
[
{
"created": "Wed, 2 Aug 2000 20:20:23 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Nishino",
"Hitoshi",
""
]
] |
We present a Lorentz invariant lagrangian formulation for a supersymmetric Yang-Mills vector multiplet in eleven dimensions (11D). The Lorentz symmetry is broken at the field equation level, and therefore the breaking is spontaneous, as in other formulations of supersymmetric theories in 12D or higher dimensions. We introduce a space-like unit vector formed by the gradient of a scalar field, avoiding the problem of Lorentz non-invariance at the lagrangian level, which is also an analog of non-commutative geometry with constant field strengths breaking Lorentz covariance. The constancy of the space-like unit vector field is implied by the field equation of a multiplier field. The field equations for the physical fields are formally the same as those of 10D supersymmetric Yang-Mills multiplet, but now with some constraints on these fields for supersymmetric consistency. This formulation also utilizes the multiplier fields accompanied by the bilinear forms of constraints, such that these multiplier fields will not interfere with the physical field equations. Based on this component result, we also present a $\k$-symmetric supermembrane action with the supersymmetric Yang-Mills backgrounds.
| 11.462422
| 11.72466
| 11.655847
| 11.110504
| 11.90491
| 11.961433
| 12.240776
| 11.14576
| 11.464754
| 13.008603
| 10.876033
| 11.2993
| 11.600638
| 11.038852
| 11.290621
| 11.146884
| 11.204119
| 11.201066
| 11.507516
| 11.778622
| 11.303392
|
2205.06964
|
Mitsutoshi Fujita
|
Mitsutoshi Fujita and Jun Zhang
|
Holographic entanglement entropy of the double Wick rotated BTZ black
hole
|
20 pages v2: references added, enlarged discussion
| null |
10.1103/PhysRevD.107.026007
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
In this paper, we analyze the holographic covariant entanglement entropy in
the double Wick rotated version of a rotating BTZ black hole (3 dimensional
Kerr-AdS solution), where the periodicity of Euclidean time and spatial
direction are changed. The dual field theory has negative energy in the
Lorentzian signature. The holographic entanglement entropy agrees with its CFT
counterpart, which is obtained by a conformal transformation of the correlation
functions of twisted operators.
|
[
{
"created": "Sat, 14 May 2022 04:31:12 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Jun 2022 04:07:01 GMT",
"version": "v2"
}
] |
2023-01-18
|
[
[
"Fujita",
"Mitsutoshi",
""
],
[
"Zhang",
"Jun",
""
]
] |
In this paper, we analyze the holographic covariant entanglement entropy in the double Wick rotated version of a rotating BTZ black hole (3 dimensional Kerr-AdS solution), where the periodicity of Euclidean time and spatial direction are changed. The dual field theory has negative energy in the Lorentzian signature. The holographic entanglement entropy agrees with its CFT counterpart, which is obtained by a conformal transformation of the correlation functions of twisted operators.
| 8.517306
| 8.034985
| 9.032703
| 8.088832
| 8.64477
| 9.72006
| 8.99402
| 8.006436
| 7.885655
| 10.033992
| 8.408625
| 7.759017
| 8.897414
| 8.443375
| 8.698355
| 8.725942
| 8.649656
| 8.319636
| 8.182308
| 8.629433
| 8.124693
|
1911.05778
|
Patrick Draper
|
Tom Banks and Patrick Draper
|
Comments on the CKN Bound
|
7 pages
|
Phys. Rev. D 101, 126010 (2020)
|
10.1103/PhysRevD.101.126010
| null |
hep-th astro-ph.CO hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Cohen, Kaplan, and Nelson (CKN) conjectured that the UV and IR cutoffs of
effective quantum field theories coupled to gravity are not independent, but
are connected by the physics of black holes. We interpret the CKN bound as a
scale-dependent depletion of the QFT density of states and discuss various
aspects of the bound on small and large scales. For laboratory experiments, we
argue that the bound provides small corrections to ordinary quantum field
theory, which we estimate to be of order $m_e/M_p$ for $g-2$ of the electron.
On large scales, we suggest a modification of the CKN bound due to the presence
of cosmological horizons and discuss the connection with entropy bounds.
|
[
{
"created": "Wed, 13 Nov 2019 19:39:02 GMT",
"version": "v1"
}
] |
2020-07-01
|
[
[
"Banks",
"Tom",
""
],
[
"Draper",
"Patrick",
""
]
] |
Cohen, Kaplan, and Nelson (CKN) conjectured that the UV and IR cutoffs of effective quantum field theories coupled to gravity are not independent, but are connected by the physics of black holes. We interpret the CKN bound as a scale-dependent depletion of the QFT density of states and discuss various aspects of the bound on small and large scales. For laboratory experiments, we argue that the bound provides small corrections to ordinary quantum field theory, which we estimate to be of order $m_e/M_p$ for $g-2$ of the electron. On large scales, we suggest a modification of the CKN bound due to the presence of cosmological horizons and discuss the connection with entropy bounds.
| 11.092758
| 8.340152
| 8.485417
| 8.391684
| 8.806284
| 8.045969
| 8.444081
| 8.650323
| 7.529989
| 9.288654
| 9.35762
| 7.679183
| 8.19932
| 7.565648
| 7.980128
| 7.944609
| 8.169117
| 7.772519
| 7.923661
| 8.236343
| 9.354451
|
1303.4973
|
Mark G. Jackson
|
Mark G. Jackson, Gary Shiu
|
A Consistency Relation for Single-Field Inflation with Power Spectrum
Oscillations
|
5 pages, 1 figure
|
Phys. Rev. D 88, 123511 (2013)
|
10.1103/PhysRevD.88.123511
| null |
hep-th astro-ph.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive a theoretical upper bound on the oscillation frequency in the
scalar perturbation power spectrum of single-field inflation. Oscillations are
most naturally produced by modified vacua with varying phase. When this phase
changes rapidly, it induces strong interactions between the scalar
fluctuations. If the interactions are sufficiently strong the theory cannot be
evaluated using perturbation theory, hence imposing a limit on the oscillation
frequency. This complements the bound found by Weinberg governing the validity
of effective field theory. The generalized consistency relation also allows one
to use squeezed configurations of higher-point correlations to place
constraints on the power spectrum oscillations.
|
[
{
"created": "Wed, 20 Mar 2013 16:02:47 GMT",
"version": "v1"
}
] |
2013-12-16
|
[
[
"Jackson",
"Mark G.",
""
],
[
"Shiu",
"Gary",
""
]
] |
We derive a theoretical upper bound on the oscillation frequency in the scalar perturbation power spectrum of single-field inflation. Oscillations are most naturally produced by modified vacua with varying phase. When this phase changes rapidly, it induces strong interactions between the scalar fluctuations. If the interactions are sufficiently strong the theory cannot be evaluated using perturbation theory, hence imposing a limit on the oscillation frequency. This complements the bound found by Weinberg governing the validity of effective field theory. The generalized consistency relation also allows one to use squeezed configurations of higher-point correlations to place constraints on the power spectrum oscillations.
| 14.522692
| 14.463421
| 15.825167
| 14.989858
| 16.6572
| 15.209475
| 16.838646
| 14.812844
| 15.02146
| 15.726069
| 15.556944
| 14.263025
| 14.703111
| 14.617126
| 14.647202
| 14.520247
| 13.997245
| 14.476672
| 14.908879
| 14.83735
| 14.248183
|
hep-th/0511227
|
Brett McInnes
|
Brett McInnes
|
Pre-Inflationary Spacetime in String Cosmology
|
Final version to appear in NPB, 27 pages including 1 eps figure
|
Nucl.Phys.B748:309-332,2006
|
10.1016/j.nuclphysb.2006.04.035
| null |
hep-th astro-ph
| null |
Seiberg and Witten have shown that the non-perturbative stability of string
physics on conformally compactified spacetimes is related to the behaviour of
the areas and volumes of certain branes as the brane is moved towards infinity.
If, as is particularly natural in quantum cosmology, the spatial sections of an
accelerating cosmological model are flat and compact, then the spacetime is on
the brink of disaster: it turns out that the version of inflationary spacetime
geometry with toral spatial sections is marginally stable in the Seiberg-Witten
sense. The question is whether the system remains stable before and after
Inflation, when the spacetime geometry is distorted away from the inflationary
form but still has flat spatial sections. We show that it is indeed possible to
avoid disaster, but that requiring stability at all times imposes non-trivial
conditions on the spacetime geometry of the early Universe in string cosmology.
This in turn allows us to suggest a candidate for the structure which, in the
earliest Universe, forbids cosmological singularities.
|
[
{
"created": "Wed, 23 Nov 2005 09:55:13 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Dec 2005 10:41:43 GMT",
"version": "v2"
},
{
"created": "Wed, 3 May 2006 04:14:28 GMT",
"version": "v3"
}
] |
2010-12-23
|
[
[
"McInnes",
"Brett",
""
]
] |
Seiberg and Witten have shown that the non-perturbative stability of string physics on conformally compactified spacetimes is related to the behaviour of the areas and volumes of certain branes as the brane is moved towards infinity. If, as is particularly natural in quantum cosmology, the spatial sections of an accelerating cosmological model are flat and compact, then the spacetime is on the brink of disaster: it turns out that the version of inflationary spacetime geometry with toral spatial sections is marginally stable in the Seiberg-Witten sense. The question is whether the system remains stable before and after Inflation, when the spacetime geometry is distorted away from the inflationary form but still has flat spatial sections. We show that it is indeed possible to avoid disaster, but that requiring stability at all times imposes non-trivial conditions on the spacetime geometry of the early Universe in string cosmology. This in turn allows us to suggest a candidate for the structure which, in the earliest Universe, forbids cosmological singularities.
| 11.781187
| 13.077438
| 12.360467
| 12.28464
| 11.981778
| 12.33749
| 12.543285
| 11.985072
| 12.257455
| 13.031819
| 12.337443
| 11.520509
| 11.608257
| 11.502627
| 11.491326
| 11.547328
| 11.958667
| 11.49142
| 11.725529
| 11.259922
| 11.839862
|
2312.15678
|
Michele Santagata
|
P. J. Heslop, A. E. Lipstein, M. Santagata
|
Hidden Conformal Symmetry in AdS$_2\times$S$^2$ Beyond Tree Level
|
5 pages plus appendices
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Correlators of a certain one-dimensional superconformal field theory dual to
hypermultiplets in AdS$_2\times$S$^2$ exhibit a hidden four-dimensional
conformal symmetry which allows one to repackage all tree-level 4-point
correlators into a single four-dimensional object corresponding to a contact
diagram arising from a massless $\phi^4$ theory in AdS$_2\times$S$^2$. This
theory serves as a toy model for IIB string theory in AdS$_5\times$S$^5$ and is
interesting in its own right because AdS$_2\times$S$^2$ describes the
near-horizon limit of extremal black holes in four dimensions. We argue that
after acting with an $SU(1,1)\times SU(2)$ Casimir, all one-loop correlators
can similarly be encoded by a four-dimensional function which arises from a
one-loop scalar bubble diagram in AdS$_2\times$S$^2$, explaining how the hidden
conformal symmetry extends beyond tree level. Finally, we conjecture a scalar
effective field theory with a derivative interaction in AdS$_2\times$S$^2$
whose Witten diagrams should directly reproduce 4-point correlators to all
loops without acting with Casimirs.
|
[
{
"created": "Mon, 25 Dec 2023 09:58:59 GMT",
"version": "v1"
}
] |
2023-12-27
|
[
[
"Heslop",
"P. J.",
""
],
[
"Lipstein",
"A. E.",
""
],
[
"Santagata",
"M.",
""
]
] |
Correlators of a certain one-dimensional superconformal field theory dual to hypermultiplets in AdS$_2\times$S$^2$ exhibit a hidden four-dimensional conformal symmetry which allows one to repackage all tree-level 4-point correlators into a single four-dimensional object corresponding to a contact diagram arising from a massless $\phi^4$ theory in AdS$_2\times$S$^2$. This theory serves as a toy model for IIB string theory in AdS$_5\times$S$^5$ and is interesting in its own right because AdS$_2\times$S$^2$ describes the near-horizon limit of extremal black holes in four dimensions. We argue that after acting with an $SU(1,1)\times SU(2)$ Casimir, all one-loop correlators can similarly be encoded by a four-dimensional function which arises from a one-loop scalar bubble diagram in AdS$_2\times$S$^2$, explaining how the hidden conformal symmetry extends beyond tree level. Finally, we conjecture a scalar effective field theory with a derivative interaction in AdS$_2\times$S$^2$ whose Witten diagrams should directly reproduce 4-point correlators to all loops without acting with Casimirs.
| 5.938916
| 5.470789
| 6.622578
| 5.590371
| 5.7154
| 5.612746
| 5.547469
| 5.323929
| 5.813498
| 6.40515
| 5.35257
| 5.356904
| 5.932584
| 5.498626
| 5.396952
| 5.355622
| 5.492281
| 5.380683
| 5.463443
| 5.659167
| 5.428795
|
0710.0818
|
Gustavo Moreno A.
|
C. D. Fosco, G. A. Moreno
|
One-loop effects in a self-dual planar noncommutative theory
|
Version to appear in JHEP
|
JHEP0711:046,2007
|
10.1088/1126-6708/2007/11/046
| null |
hep-th
| null |
We study the UV properties, and derive the explicit form of the one-loop
effective action, for a noncommutative complex scalar field theory in 2+1
dimensions with a Grosse-Wulkenhaar term, at the self-dual point. We also
consider quantum effects around non-trivial minima of the classical action
which appear when the potential allows for the spontaneous breaking of the U(1)
symmetry. For those solutions, we show that the one-loop correction to the
vacuum energy is a function of a special combination of the amplitude of the
classical solution and the coupling constant.
|
[
{
"created": "Wed, 3 Oct 2007 15:35:55 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Oct 2007 16:49:56 GMT",
"version": "v2"
},
{
"created": "Fri, 16 Nov 2007 14:08:28 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Fosco",
"C. D.",
""
],
[
"Moreno",
"G. A.",
""
]
] |
We study the UV properties, and derive the explicit form of the one-loop effective action, for a noncommutative complex scalar field theory in 2+1 dimensions with a Grosse-Wulkenhaar term, at the self-dual point. We also consider quantum effects around non-trivial minima of the classical action which appear when the potential allows for the spontaneous breaking of the U(1) symmetry. For those solutions, we show that the one-loop correction to the vacuum energy is a function of a special combination of the amplitude of the classical solution and the coupling constant.
| 7.694023
| 6.806768
| 9.033782
| 6.747739
| 7.051502
| 7.063265
| 7.160723
| 7.012928
| 6.619608
| 8.15723
| 6.780468
| 7.08957
| 7.498888
| 7.059571
| 6.996275
| 6.86134
| 6.726602
| 7.300085
| 6.919867
| 7.586735
| 7.11551
|
1503.04237
|
Daniel Robbins
|
Katrin Becker, Melanie Becker and Daniel Robbins
|
String Corrected Spacetimes and SU(N)-Structure Manifolds
|
27 pages
| null |
10.1016/j.nuclphysb.2015.04.012
|
MIFPA-14-38
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using an effective field theory approach and the language of
SU(N)-structures, we study higher derivative corrections to the supersymmetry
constraints for compactifications of string or M-theory to Minkowski space. Our
analysis is done entirely in the target space and is thus very general, and
does not rely on theory-dependent details such as the amount of worldsheet
supersymmetry. For manifolds of real dimension n<4 we show that the internal
geometry remains flat and uncorrected. For n=4, 6, Kahler manifolds with
SU(N)-holonomy can become corrected to SU(N)-structure, while preserving
supersymmetry, once corrections are included.
|
[
{
"created": "Fri, 13 Mar 2015 22:30:44 GMT",
"version": "v1"
}
] |
2015-12-09
|
[
[
"Becker",
"Katrin",
""
],
[
"Becker",
"Melanie",
""
],
[
"Robbins",
"Daniel",
""
]
] |
Using an effective field theory approach and the language of SU(N)-structures, we study higher derivative corrections to the supersymmetry constraints for compactifications of string or M-theory to Minkowski space. Our analysis is done entirely in the target space and is thus very general, and does not rely on theory-dependent details such as the amount of worldsheet supersymmetry. For manifolds of real dimension n<4 we show that the internal geometry remains flat and uncorrected. For n=4, 6, Kahler manifolds with SU(N)-holonomy can become corrected to SU(N)-structure, while preserving supersymmetry, once corrections are included.
| 11.922933
| 11.829087
| 12.126092
| 11.658399
| 12.288386
| 11.275919
| 13.523827
| 11.541419
| 11.092134
| 13.593785
| 11.586867
| 11.780187
| 10.983545
| 11.209847
| 11.534102
| 11.476163
| 11.265485
| 11.214374
| 11.079899
| 11.456059
| 11.115679
|
1408.5095
|
Dibakar Roychowdhury
|
Dibakar Roychowdhury
|
Hall viscosity to entropy ratio in higher derivative theories
|
Latex,19 pages, Version to appear in JHEP
|
JHEP10(2014)015
|
10.1007/JHEP10(2014)015
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper based on the basic principles of gauge/gravity duality we
compute the hall viscosity to entropy ratio in the presence of various higher
derivative corrections to the dual gravitational description embedded in an
asymptotically $ AdS_{4} $ space time. As the first step of our analysis,
considering the back reaction we impose higher derivative corrections to the
abelian gauge sector of the theory where we notice that the ratio indeed gets
corrected at the leading order in the coupling. Considering the probe limit as
a special case we compute this leading order correction over the fixed
background of the charged black brane solution. Finally we consider higher
derivative ($ R^{2} $) correction to the gravity sector of the theory where we
notice that the above ratio might get corrected at the sixth derivative level.
|
[
{
"created": "Thu, 21 Aug 2014 18:23:48 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Sep 2014 14:16:03 GMT",
"version": "v2"
}
] |
2014-10-06
|
[
[
"Roychowdhury",
"Dibakar",
""
]
] |
In this paper based on the basic principles of gauge/gravity duality we compute the hall viscosity to entropy ratio in the presence of various higher derivative corrections to the dual gravitational description embedded in an asymptotically $ AdS_{4} $ space time. As the first step of our analysis, considering the back reaction we impose higher derivative corrections to the abelian gauge sector of the theory where we notice that the ratio indeed gets corrected at the leading order in the coupling. Considering the probe limit as a special case we compute this leading order correction over the fixed background of the charged black brane solution. Finally we consider higher derivative ($ R^{2} $) correction to the gravity sector of the theory where we notice that the above ratio might get corrected at the sixth derivative level.
| 11.549285
| 9.471491
| 12.308974
| 9.708291
| 9.340337
| 9.712399
| 9.310675
| 9.840264
| 9.529842
| 13.036583
| 9.532873
| 9.826669
| 10.853674
| 10.328906
| 10.238733
| 10.14169
| 10.156806
| 10.313981
| 9.795318
| 10.999295
| 10.263139
|
1907.10440
|
Simon Felix Langenscheidt
|
Simon Langenscheidt
|
Interactions in MacDowell-Mansouri Gravitation
| null | null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this bachelor thesis, possible kinetic terms and couplings of standard
fields in MacDowell-Mansouri-Stelle-West gravity are studied with some aspects
of group theory in mind. Possible obstructions to these couplings are
considered and used to make statements about the validity of the theory when
coupled to matter. While interactions themselves turn out to be mostly
unaffected except for scalar fields, the theory fails at its goal of putting
gravity on equal footing with Yang-Mills theories. This happens with the
kinetic term for spin-1 gauge fields and spin-0 ones, as one needs auxiliary
fields to ensure manifest covariance with respect to the internal group $
SO(2,3) $.
|
[
{
"created": "Tue, 23 Jul 2019 17:49:18 GMT",
"version": "v1"
}
] |
2019-07-25
|
[
[
"Langenscheidt",
"Simon",
""
]
] |
In this bachelor thesis, possible kinetic terms and couplings of standard fields in MacDowell-Mansouri-Stelle-West gravity are studied with some aspects of group theory in mind. Possible obstructions to these couplings are considered and used to make statements about the validity of the theory when coupled to matter. While interactions themselves turn out to be mostly unaffected except for scalar fields, the theory fails at its goal of putting gravity on equal footing with Yang-Mills theories. This happens with the kinetic term for spin-1 gauge fields and spin-0 ones, as one needs auxiliary fields to ensure manifest covariance with respect to the internal group $ SO(2,3) $.
| 19.565159
| 19.615364
| 19.649471
| 16.01659
| 17.834614
| 17.855061
| 17.902683
| 17.12258
| 17.521393
| 21.639853
| 17.12929
| 17.274736
| 18.050819
| 17.024179
| 16.892422
| 16.81488
| 16.611557
| 16.568579
| 17.35021
| 17.068579
| 16.443645
|
0801.0430
|
Constantin Candu
|
Constantin Candu and Hubert Saleur
|
A lattice approach to the conformal $\OSp(2S+2|2S)$ supercoset sigma
model. Part I: Algebraic structures in the spin chain. The Brauer algebra
|
36 pages, 20 figures
|
Nucl.Phys.B808:441-486,2009
|
10.1016/j.nuclphysb.2008.09.034
|
t07/166
|
hep-th cond-mat.stat-mech
| null |
We define and study a lattice model which we argue is in the universality
class of the $OSp(2S+2|2S)$ supercoset sigma model for a large range of values
of the coupling constant $g_\sigma^2$. In this first paper, we analyze in
details the symmetries of this lattice model, in particular the decomposition
of the space of the quantum spin chain $V^{\otimes L}$ as a bimodule over
$OSp(2S+2|2S)$ and its commutant, the Brauer algebra $B_L(2)$. It turns out
that $V^{\otimes L}$ is a nonsemisimple module for both $OSp(2S+2|2S)$ and
$B_L(2)$. The results are used in the companion paper to elucidate the
structure of the (boundary) conformal field theory.
|
[
{
"created": "Wed, 2 Jan 2008 20:34:41 GMT",
"version": "v1"
}
] |
2008-12-18
|
[
[
"Candu",
"Constantin",
""
],
[
"Saleur",
"Hubert",
""
]
] |
We define and study a lattice model which we argue is in the universality class of the $OSp(2S+2|2S)$ supercoset sigma model for a large range of values of the coupling constant $g_\sigma^2$. In this first paper, we analyze in details the symmetries of this lattice model, in particular the decomposition of the space of the quantum spin chain $V^{\otimes L}$ as a bimodule over $OSp(2S+2|2S)$ and its commutant, the Brauer algebra $B_L(2)$. It turns out that $V^{\otimes L}$ is a nonsemisimple module for both $OSp(2S+2|2S)$ and $B_L(2)$. The results are used in the companion paper to elucidate the structure of the (boundary) conformal field theory.
| 5.888784
| 5.33791
| 6.436604
| 5.408587
| 6.316192
| 5.842214
| 5.96039
| 5.452479
| 5.627476
| 6.778224
| 5.356824
| 5.517357
| 5.774747
| 5.63518
| 5.618699
| 5.543952
| 5.790008
| 5.354466
| 5.611809
| 5.91929
| 5.524853
|
hep-th/9207113
| null |
A.Bellini, M.Ademollo and M.Ciafaloni
|
Gravitino one-loop contribution to Planckian Scattering
|
15 pages
|
Nucl.Phys. B393 (1993) 79-94
|
10.1016/0550-3213(93)90238-K
|
Nordita 92/45
|
hep-th
| null |
Corrections to the semiclassical approximation in nearly forward Planckian
energy collisions are here reconsidered. Starting from the one-loop superstring
amplitude, we are able to disentangle the first subleading high-energy
contribution at large impact parameters, and we thus directly compute the
one-loop correction to the superstring eikonal. We finally argue, on the basis
of analyticity and unitarity, that gravitinos do not contribute at all to the
large distance two-loop ACV correction, which thus acquires a universal
``classical'' interpretation.
|
[
{
"created": "Fri, 31 Jul 1992 15:16:00 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Bellini",
"A.",
""
],
[
"Ademollo",
"M.",
""
],
[
"Ciafaloni",
"M.",
""
]
] |
Corrections to the semiclassical approximation in nearly forward Planckian energy collisions are here reconsidered. Starting from the one-loop superstring amplitude, we are able to disentangle the first subleading high-energy contribution at large impact parameters, and we thus directly compute the one-loop correction to the superstring eikonal. We finally argue, on the basis of analyticity and unitarity, that gravitinos do not contribute at all to the large distance two-loop ACV correction, which thus acquires a universal ``classical'' interpretation.
| 19.004078
| 17.695486
| 19.482431
| 18.100531
| 17.683472
| 19.174995
| 18.502354
| 16.847126
| 17.476877
| 19.434069
| 17.420044
| 17.897963
| 18.351789
| 18.23275
| 18.570465
| 17.8255
| 17.95373
| 17.907597
| 17.997002
| 17.988958
| 17.70783
|
2005.07170
|
Samuel Friot
|
B. Ananthanarayan, Samuel Friot, Shayan Ghosh and Anthony Hurier
|
New analytic continuations for the Appell $F_4$ series from quadratic
transformations of the Gauss $_{2}F_1$ function
|
15 pages, 7 figures
| null | null | null |
hep-th hep-ph math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present new analytic continuation formulas for the Appell
$F_4(a,b;c,d;x,y)$ double hypergeometric series where $d=a-b+1$, which allows
quadratic transformations of the Gauss ${}_2F_1$ hypergeometric function to be
used in the intermediate steps of the derivation. Such formulas are of
relevance to loop calculations of quantum field theory where they can been
used, for instance, to obtain new series representations of the two-loop
massive sunset Feynman diagram. The analytic continuation procedure introduced
in this paper is also sufficiently general so as to find uses elsewhere.
|
[
{
"created": "Thu, 14 May 2020 17:40:42 GMT",
"version": "v1"
}
] |
2020-05-15
|
[
[
"Ananthanarayan",
"B.",
""
],
[
"Friot",
"Samuel",
""
],
[
"Ghosh",
"Shayan",
""
],
[
"Hurier",
"Anthony",
""
]
] |
We present new analytic continuation formulas for the Appell $F_4(a,b;c,d;x,y)$ double hypergeometric series where $d=a-b+1$, which allows quadratic transformations of the Gauss ${}_2F_1$ hypergeometric function to be used in the intermediate steps of the derivation. Such formulas are of relevance to loop calculations of quantum field theory where they can been used, for instance, to obtain new series representations of the two-loop massive sunset Feynman diagram. The analytic continuation procedure introduced in this paper is also sufficiently general so as to find uses elsewhere.
| 10.052245
| 12.324711
| 10.189249
| 9.639214
| 9.955921
| 9.765517
| 10.430661
| 9.932888
| 9.766829
| 11.255273
| 10.252088
| 9.615417
| 9.338669
| 9.21347
| 9.475583
| 9.532303
| 9.824958
| 9.771577
| 9.561749
| 8.8687
| 9.09572
|
hep-th/0201272
|
Mirjam Cvetic
|
Klaus Behrndt and Mirjam Cvetic
|
Bent BPS domain walls of D=5 N=2 gauged supergravity coupled to
hypermultiplets
|
18 pages, Latex
|
Phys.Rev.D65:126007,2002
|
10.1103/PhysRevD.65.126007
|
UPR-938-T, HU-EP-01/39, NSF-ITP-02-12, RUNHETC-2001-30
|
hep-th
| null |
Within D=5 N=2 gauged supergravity coupled to hypermultiplets we derive
consistency conditions for BPS domain walls with constant negative curvature on
the wall. For such wall solutions to exist, the covariant derivative of the
projector, governing the constraint on the Killing spinor, has to be non-zero
and proportional to the cosmological constant on the domain walls. We also
prove that in this case solutions of the Killing spinor equations are solutions
of the equations of motion. We present explicit, analytically solved examples
of such domain walls, employing the universal hypermultiplet fields. These
examples involve the running of two scalar fields and the space-time in the
transverse direction that is cut off at a critical distance, governed by the
magnitude of the negative cosmological constant on the wall.
|
[
{
"created": "Thu, 31 Jan 2002 20:57:07 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Behrndt",
"Klaus",
""
],
[
"Cvetic",
"Mirjam",
""
]
] |
Within D=5 N=2 gauged supergravity coupled to hypermultiplets we derive consistency conditions for BPS domain walls with constant negative curvature on the wall. For such wall solutions to exist, the covariant derivative of the projector, governing the constraint on the Killing spinor, has to be non-zero and proportional to the cosmological constant on the domain walls. We also prove that in this case solutions of the Killing spinor equations are solutions of the equations of motion. We present explicit, analytically solved examples of such domain walls, employing the universal hypermultiplet fields. These examples involve the running of two scalar fields and the space-time in the transverse direction that is cut off at a critical distance, governed by the magnitude of the negative cosmological constant on the wall.
| 10.769767
| 9.591905
| 11.388259
| 9.673693
| 9.439812
| 10.070879
| 9.584354
| 10.276694
| 9.899972
| 11.971621
| 9.921068
| 10.055083
| 10.20393
| 9.764995
| 9.849094
| 9.860026
| 9.867175
| 9.889939
| 9.541209
| 10.468301
| 9.894014
|
1401.1201
|
Alexander Sorin
|
Sergio Ferrara, Pietro Fre, Alexander S. Sorin
|
On the Gauged Kahler Isometry in Minimal Supergravity Models of
Inflation
|
85 pages, LaTex, 32 jpg figures, 4 tables; v2: title and abstract
slightly modified, some assessments improved and made more precise, two
figures and one reference added, several misprints corrected
| null |
10.1002/prop.201400003
| null |
hep-th astro-ph.CO gr-qc hep-ph math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we address the question how to discriminate whether the gauged
isometry group G_Sigma of the Kahler manifold Sigma that produces a D-type
inflaton potential in a Minimal Supergravity Model is elliptic, hyperbolic or
parabolic. We show that the classification of isometries of symmetric cosets
can be extended to non symmetric Sigma.s if these manifolds satisfy additional
mathematical restrictions. The classification criteria established in the
mathematical literature are coherent with simple criteria formulated in terms
of the asymptotic behavior of the Kahler potential K(C) = 2 J(C) where the real
scalar field C encodes the inflaton field. As a by product of our analysis we
show that phenomenologically admissible potentials for the description of
inflation and in particular alpha-attractors are mostly obtained from the
gauging of a parabolic isometry, this being, in particular the case of the
Starobinsky model. Yet at least one exception exists of an elliptic
alpha-attractor, so that neither type of isometry can be a priori excluded. The
requirement of regularity of the manifold Sigma poses instead strong
constraints on the alpha-attractors and reduces their space considerably.
Curiously there is a unique integrable alpha-attractor corresponding to a
particular value of this parameter.
|
[
{
"created": "Sat, 4 Jan 2014 08:51:46 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Jan 2014 17:03:54 GMT",
"version": "v2"
}
] |
2015-06-18
|
[
[
"Ferrara",
"Sergio",
""
],
[
"Fre",
"Pietro",
""
],
[
"Sorin",
"Alexander S.",
""
]
] |
In this paper we address the question how to discriminate whether the gauged isometry group G_Sigma of the Kahler manifold Sigma that produces a D-type inflaton potential in a Minimal Supergravity Model is elliptic, hyperbolic or parabolic. We show that the classification of isometries of symmetric cosets can be extended to non symmetric Sigma.s if these manifolds satisfy additional mathematical restrictions. The classification criteria established in the mathematical literature are coherent with simple criteria formulated in terms of the asymptotic behavior of the Kahler potential K(C) = 2 J(C) where the real scalar field C encodes the inflaton field. As a by product of our analysis we show that phenomenologically admissible potentials for the description of inflation and in particular alpha-attractors are mostly obtained from the gauging of a parabolic isometry, this being, in particular the case of the Starobinsky model. Yet at least one exception exists of an elliptic alpha-attractor, so that neither type of isometry can be a priori excluded. The requirement of regularity of the manifold Sigma poses instead strong constraints on the alpha-attractors and reduces their space considerably. Curiously there is a unique integrable alpha-attractor corresponding to a particular value of this parameter.
| 13.286799
| 15.035455
| 13.60789
| 13.608025
| 13.978719
| 13.941375
| 14.64222
| 14.894135
| 13.642488
| 15.064487
| 13.058641
| 13.03692
| 13.66365
| 13.19939
| 13.174075
| 13.506214
| 12.98793
| 13.516567
| 13.033215
| 13.121062
| 12.742488
|
1610.08858
|
Antonio Amariti
|
Antonio Amariti, Chiara Toldo
|
Betti multiplets, flows across dimensions and c-extremization
|
28 pages, 5 figures, typos fixed and additional explanations added
| null |
10.1007/JHEP07(2017)040
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider 4d N=1 SCFTs, topologically twisted on compact constant curvature
Riemann surfaces, giving rise to 2d N=(0,2) SCFTs. The exact R-current of these
2d SCFT extremizes the central charge c_{2d}, similarly to the 4d picture,
where the exact R-current maximizes the central charge a_{4d}. There are global
currents that do not mix with the R-current in 4d but their mixing becomes non
trivial in 2d. In this paper we study the holographic dual of this process by
analyzing a 5d N=2 truncation of T^{1,1} with one Betti vector multiplet, dual
to the baryonic current on the CFT side. The holographic realization of the
flow across dimensions connects AdS_5 to AdS_3 vacua in the supergravity
picture. We verify the existence of the flow to AdS_3 solutions and we retrieve
the field theory results for the mixing of the Betti vector with the
graviphoton. Moreover, we extract the central charge from the Brown-Henneaux
formula, matching with the results obtained in field theory. We develop a
general formalism to obtain the central charge of a 2d SCFT from 5d N=2 gauged
supergravity with a generic number of vector multiplets, showing that its
extremization corresponds to an attractor mechanism for the scalars in the
supergravity picture.
|
[
{
"created": "Thu, 27 Oct 2016 15:56:43 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Mar 2017 05:25:40 GMT",
"version": "v2"
},
{
"created": "Wed, 7 Jun 2017 20:11:11 GMT",
"version": "v3"
}
] |
2017-08-02
|
[
[
"Amariti",
"Antonio",
""
],
[
"Toldo",
"Chiara",
""
]
] |
We consider 4d N=1 SCFTs, topologically twisted on compact constant curvature Riemann surfaces, giving rise to 2d N=(0,2) SCFTs. The exact R-current of these 2d SCFT extremizes the central charge c_{2d}, similarly to the 4d picture, where the exact R-current maximizes the central charge a_{4d}. There are global currents that do not mix with the R-current in 4d but their mixing becomes non trivial in 2d. In this paper we study the holographic dual of this process by analyzing a 5d N=2 truncation of T^{1,1} with one Betti vector multiplet, dual to the baryonic current on the CFT side. The holographic realization of the flow across dimensions connects AdS_5 to AdS_3 vacua in the supergravity picture. We verify the existence of the flow to AdS_3 solutions and we retrieve the field theory results for the mixing of the Betti vector with the graviphoton. Moreover, we extract the central charge from the Brown-Henneaux formula, matching with the results obtained in field theory. We develop a general formalism to obtain the central charge of a 2d SCFT from 5d N=2 gauged supergravity with a generic number of vector multiplets, showing that its extremization corresponds to an attractor mechanism for the scalars in the supergravity picture.
| 6.757904
| 6.352525
| 7.780508
| 6.309181
| 6.737162
| 6.151454
| 6.405503
| 6.356565
| 6.480731
| 8.078377
| 6.265502
| 6.513374
| 6.75377
| 6.624519
| 6.795811
| 6.673697
| 6.438852
| 6.503881
| 6.736362
| 6.946399
| 6.663012
|
2211.12473
|
Pedro Alvarez
|
Pedro D. Alvarez, Rafael A. Chavez, Jorge Zanelli
|
Embedding of the Georgi-Glashow $SU(5)$ model in the superconformal
algebra
|
21p, minor corrections
| null |
10.1007/JHEP02(2023)050
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a scheme to construct grand unified models based on the
superconformal algebra and the inclusion of matter fields in the adjoint
representation of supersymmetry. As an illustration, we implemented the
Georgi-Glashow $SU(5)$ model. The model predics the existence of a hidden
$(\mathbf{1},\mathbf{24},0) + (\mathbf{5},\mathbf{5}^\ast,-y') +
(\mathbf{5}^\ast,\mathbf{5},y')$ sector and an anomalous $U(1)_Z$.
|
[
{
"created": "Tue, 22 Nov 2022 18:37:23 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Nov 2022 01:08:11 GMT",
"version": "v2"
},
{
"created": "Mon, 5 Dec 2022 18:11:28 GMT",
"version": "v3"
}
] |
2023-02-22
|
[
[
"Alvarez",
"Pedro D.",
""
],
[
"Chavez",
"Rafael A.",
""
],
[
"Zanelli",
"Jorge",
""
]
] |
We present a scheme to construct grand unified models based on the superconformal algebra and the inclusion of matter fields in the adjoint representation of supersymmetry. As an illustration, we implemented the Georgi-Glashow $SU(5)$ model. The model predics the existence of a hidden $(\mathbf{1},\mathbf{24},0) + (\mathbf{5},\mathbf{5}^\ast,-y') + (\mathbf{5}^\ast,\mathbf{5},y')$ sector and an anomalous $U(1)_Z$.
| 6.706848
| 6.149526
| 5.850027
| 5.840483
| 6.44038
| 6.256191
| 5.945368
| 6.602343
| 5.797648
| 6.365808
| 5.766821
| 6.259099
| 6.016405
| 5.827543
| 6.058713
| 6.345892
| 6.057504
| 6.112267
| 5.744495
| 5.839461
| 6.173724
|
hep-th/0203218
|
Allan W. Adams
|
Allan Adams and Jarah Evslin
|
The Loop Group of E_8 and K-Theory from 11d
|
1+16 pages, harvmac
|
JHEP 0302:029,2003
|
10.1088/1126-6708/2003/02/029
| null |
hep-th
| null |
We examine the conjecture that an 11d E_8 bundle, appearing in the
calculation of phases in the M-Theory partition function, plays a physical role
in M-Theory, focusing on consequences for the classification of string theory
solitons. This leads for example to a classification of IIA solitons in terms
of that of LE_8 bundles in 10d. Since K(Z,2) approximates LE_8 up to \pi_{14},
this reproduces the K-Theoretic classification of IIA D-branes while treating
NSNS and RR solitons more symmetrically and providing a natural interpretation
of G_0 as the central extension of LE_8.
|
[
{
"created": "Sat, 23 Mar 2002 02:14:56 GMT",
"version": "v1"
}
] |
2011-02-18
|
[
[
"Adams",
"Allan",
""
],
[
"Evslin",
"Jarah",
""
]
] |
We examine the conjecture that an 11d E_8 bundle, appearing in the calculation of phases in the M-Theory partition function, plays a physical role in M-Theory, focusing on consequences for the classification of string theory solitons. This leads for example to a classification of IIA solitons in terms of that of LE_8 bundles in 10d. Since K(Z,2) approximates LE_8 up to \pi_{14}, this reproduces the K-Theoretic classification of IIA D-branes while treating NSNS and RR solitons more symmetrically and providing a natural interpretation of G_0 as the central extension of LE_8.
| 14.604033
| 12.979606
| 15.144757
| 13.12003
| 14.726413
| 13.582831
| 14.203565
| 13.995513
| 12.771252
| 16.82752
| 13.287889
| 12.80395
| 13.686312
| 12.788383
| 13.396295
| 13.258503
| 12.977832
| 12.828719
| 13.216682
| 13.276543
| 12.831162
|
1304.1016
|
Maxim Zabzine
|
Joseph A. Minahan, Anton Nedelin and Maxim Zabzine
|
5D super Yang-Mills theory and the correspondence to AdS$_7$/CFT$_6$
|
24 pages, factor corrected, comparison to 1-loop flat result is added
|
J. Phys. A: Math. Theor. 46 (2013) 355401
|
10.1088/1751-8113/46/35/355401
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the relation between 5D super Yang-Mills theory and the holographic
description of 6D (2,0) superconformal theory. We start by clarifying some
issues related to the localization of N=1 SYM with matter on $S^5$. We
concentrate on the case of a single adjoint hypermultiplet with a mass term and
argue that the theory has a symmetry enlargement at mass M=1/(2r), where r is
the $S^5$ radius. However, in order to have a well-defined localization locus
it is necessary to rotate M onto the imaginary axis, breaking the enlarged
symmetry. Based on our prescription, the imaginary mass values are physical and
we show how the localized path integral is consistent with earlier results for
5D SYM in flat space. We then compute the free energy and the expectation value
for a circular Wilson loop in the large N limit. The Wilson loop calculation
shows a mass dependent constant rescaling between weak and strong coupling. The
Wilson loop continued back to to the enlarged symmetry point is consistent with
a supergravity computation for an M2 brane using the standard identification of
the compactification radius and the 5D coupling. If we continue back to the
physical regime and use this value of the mass to determine the
compactification radius, then we find agreement between the SYM free energy and
the corresponding supergravity calculation. We also verify numerically some of
our analytic approximations.
|
[
{
"created": "Wed, 3 Apr 2013 17:19:50 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Jun 2013 14:10:12 GMT",
"version": "v2"
}
] |
2013-08-19
|
[
[
"Minahan",
"Joseph A.",
""
],
[
"Nedelin",
"Anton",
""
],
[
"Zabzine",
"Maxim",
""
]
] |
We study the relation between 5D super Yang-Mills theory and the holographic description of 6D (2,0) superconformal theory. We start by clarifying some issues related to the localization of N=1 SYM with matter on $S^5$. We concentrate on the case of a single adjoint hypermultiplet with a mass term and argue that the theory has a symmetry enlargement at mass M=1/(2r), where r is the $S^5$ radius. However, in order to have a well-defined localization locus it is necessary to rotate M onto the imaginary axis, breaking the enlarged symmetry. Based on our prescription, the imaginary mass values are physical and we show how the localized path integral is consistent with earlier results for 5D SYM in flat space. We then compute the free energy and the expectation value for a circular Wilson loop in the large N limit. The Wilson loop calculation shows a mass dependent constant rescaling between weak and strong coupling. The Wilson loop continued back to to the enlarged symmetry point is consistent with a supergravity computation for an M2 brane using the standard identification of the compactification radius and the 5D coupling. If we continue back to the physical regime and use this value of the mass to determine the compactification radius, then we find agreement between the SYM free energy and the corresponding supergravity calculation. We also verify numerically some of our analytic approximations.
| 8.880451
| 8.993497
| 10.969217
| 8.845969
| 9.181701
| 9.210335
| 9.127367
| 8.933859
| 9.187879
| 11.126781
| 8.872059
| 8.917974
| 9.514089
| 8.929457
| 8.804202
| 8.774874
| 8.834293
| 8.892291
| 8.987647
| 9.767117
| 8.872245
|
hep-th/0204166
|
A. Gomez Nicola
|
T.S.Evans, A.Gomez Nicola, R.J.Rivers and D.A.Steer
|
Transport Coefficients and Analytic Continuation in Dual 1+1 Dimensional
Models at Finite Temperature
|
41 pages, 6 figures
|
Nucl.Phys. B654 (2003) 357-403
|
10.1016/S0550-3213(02)01145-8
|
IMPERIAL/TP/1-02/19, ORSAY-PPT-02-34
|
hep-th hep-ph
| null |
The conductivity of a finite temperature 1+1 dimensional fermion gas
described by the massive Thirring model is shown to be related to the retarded
propagator of the dual boson sine-Gordon model. Duality provides a natural
resummation which resolves infra-red problems, and the boson propagator can be
related to the fermion gas at non-zero temperature and chemical potential or
density. In addition, at high temperatures, we can apply a dimensional
reduction technique to find resummed closed expressions for the boson
self-energy and relate them to the fermion conductivity. Particular attention
is paid to the discussion of analytic continuation. The resummation implicit in
duality provides a powerful alternative to the standard diagrammatic evaluation
of transport coefficients at finite temperature.
|
[
{
"created": "Fri, 19 Apr 2002 13:56:28 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Evans",
"T. S.",
""
],
[
"Nicola",
"A. Gomez",
""
],
[
"Rivers",
"R. J.",
""
],
[
"Steer",
"D. A.",
""
]
] |
The conductivity of a finite temperature 1+1 dimensional fermion gas described by the massive Thirring model is shown to be related to the retarded propagator of the dual boson sine-Gordon model. Duality provides a natural resummation which resolves infra-red problems, and the boson propagator can be related to the fermion gas at non-zero temperature and chemical potential or density. In addition, at high temperatures, we can apply a dimensional reduction technique to find resummed closed expressions for the boson self-energy and relate them to the fermion conductivity. Particular attention is paid to the discussion of analytic continuation. The resummation implicit in duality provides a powerful alternative to the standard diagrammatic evaluation of transport coefficients at finite temperature.
| 9.78858
| 10.042217
| 9.972342
| 9.50376
| 9.882271
| 9.399438
| 9.850816
| 9.618403
| 9.391076
| 10.465616
| 9.405791
| 9.382075
| 9.250743
| 9.347519
| 9.31552
| 9.385977
| 9.200902
| 9.29862
| 9.342061
| 9.525376
| 9.424869
|
1704.08845
|
Hiroyuki Kitamoto
|
Hiroyuki Kitamoto, Yoshihisa Kitazawa, Ryota Kojima
|
Non-Gaussian and loop effects of inflationary correlation functions in
BRST formalism
|
22 pages, 3 figures
|
Phys. Rev. D 96, 023535 (2017)
|
10.1103/PhysRevD.96.023535
|
KEK-TH-1976, KUNS-2674
|
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate inflationary correlation functions in single field inflation
models. We adopt a BRST formalism where locality and covariance at the
sub-horizon scale are manifest. The scalar and tensor perturbations are
identified with those in the comoving gauge which become constant outside the
cosmological horizon. Our construction reproduces the identical non-Gaussianity
with the standard comoving gauge. The accumulation of almost scale invariant
fluctuations could give rise to IR logarithmic corrections at the loop level.
We investigate the influence of this effect on the sub-horizon dynamics. Since
such an effect must respect covariance, our BRST gauge has an advantage over
the standard comoving gauge. We estimate IR logarithmic effects to the
slow-roll parameters at the one-loop level. We show that $\epsilon$ receives IR
logarithmic corrections, while this is not the case for $\eta$. We point out
that IR logarithmic effects provide the shift symmetry breaking mechanism. This
scenario may lead to an inflation model with a linear potential.
|
[
{
"created": "Fri, 28 Apr 2017 08:42:16 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Jul 2017 09:51:57 GMT",
"version": "v2"
}
] |
2017-08-02
|
[
[
"Kitamoto",
"Hiroyuki",
""
],
[
"Kitazawa",
"Yoshihisa",
""
],
[
"Kojima",
"Ryota",
""
]
] |
We investigate inflationary correlation functions in single field inflation models. We adopt a BRST formalism where locality and covariance at the sub-horizon scale are manifest. The scalar and tensor perturbations are identified with those in the comoving gauge which become constant outside the cosmological horizon. Our construction reproduces the identical non-Gaussianity with the standard comoving gauge. The accumulation of almost scale invariant fluctuations could give rise to IR logarithmic corrections at the loop level. We investigate the influence of this effect on the sub-horizon dynamics. Since such an effect must respect covariance, our BRST gauge has an advantage over the standard comoving gauge. We estimate IR logarithmic effects to the slow-roll parameters at the one-loop level. We show that $\epsilon$ receives IR logarithmic corrections, while this is not the case for $\eta$. We point out that IR logarithmic effects provide the shift symmetry breaking mechanism. This scenario may lead to an inflation model with a linear potential.
| 11.316412
| 11.164885
| 11.191288
| 10.365363
| 10.68322
| 11.318331
| 11.427131
| 11.242831
| 10.29059
| 10.904816
| 10.168825
| 10.335592
| 10.857208
| 10.508461
| 10.515601
| 10.735778
| 10.327729
| 10.569347
| 10.353402
| 10.760942
| 10.372316
|
hep-th/0505011
|
Shin Sasaki
|
Yoshishige Kobayashi, Shin Sasaki
|
Non-local Wess-Zumino Model on Nilpotent Noncommutative Superspace
|
Latex, 16 pages, 2 figures, typos corrected, some references and
comments on auxiliary field added, a figure replaced, English refined
|
Phys.Rev. D72 (2005) 065015
|
10.1103/PhysRevD.72.065015
| null |
hep-th
| null |
We investigate the theory of the bosonic-fermionic noncommutativity,
$[x^{\mu},\theta^{\alpha}] = i \lambda^{\mu \alpha}$, and the Wess-Zumino model
deformed by the noncommutativity. Such noncommutativity links well-known
space-time noncommutativity to superspace non-anticommutativity. The
deformation has the nilpotency. We can explicitly evaluate noncommutative
effect in terms of new interactions between component fields. The interaction
terms that have Grassmann couplings are induced. The noncommutativity does
completely break full $\mathcal{N}=1$ supersymmetry to $ \mathcal{N} = 0 $
theory in Minkowski signature. Similar to the space-time noncommutativity, this
theory has higher derivative terms and becomes non-local theory. However this
non-locality is milder than the space-time noncommutative field theory. Due to
the nilpotent feature of the coupling constants, we find that there are only
finite number of Feynman diagrams that give noncommutative corrections at each
loop order.
|
[
{
"created": "Mon, 2 May 2005 07:38:51 GMT",
"version": "v1"
},
{
"created": "Fri, 13 May 2005 12:26:07 GMT",
"version": "v2"
},
{
"created": "Wed, 17 Aug 2005 10:05:29 GMT",
"version": "v3"
}
] |
2009-11-11
|
[
[
"Kobayashi",
"Yoshishige",
""
],
[
"Sasaki",
"Shin",
""
]
] |
We investigate the theory of the bosonic-fermionic noncommutativity, $[x^{\mu},\theta^{\alpha}] = i \lambda^{\mu \alpha}$, and the Wess-Zumino model deformed by the noncommutativity. Such noncommutativity links well-known space-time noncommutativity to superspace non-anticommutativity. The deformation has the nilpotency. We can explicitly evaluate noncommutative effect in terms of new interactions between component fields. The interaction terms that have Grassmann couplings are induced. The noncommutativity does completely break full $\mathcal{N}=1$ supersymmetry to $ \mathcal{N} = 0 $ theory in Minkowski signature. Similar to the space-time noncommutativity, this theory has higher derivative terms and becomes non-local theory. However this non-locality is milder than the space-time noncommutative field theory. Due to the nilpotent feature of the coupling constants, we find that there are only finite number of Feynman diagrams that give noncommutative corrections at each loop order.
| 7.360492
| 7.312697
| 7.719701
| 7.143694
| 7.691759
| 7.386485
| 7.360784
| 7.079529
| 7.096236
| 7.743507
| 7.104104
| 7.010886
| 7.382423
| 6.96657
| 7.070221
| 6.985243
| 6.700305
| 6.826764
| 7.07843
| 7.259066
| 6.804799
|
0803.2289
|
Michael Mattes Dr.
|
M.Mattes and M.Sorg
|
Non-Relativistic Positronium Spectrum in Relativistic Schroedinger
Theory
|
67 pages and 3 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The lowest energy levels of positronium are studied in the non-relativistic
approximation within the framework of Relativistic Schr\"odinger Theory (RST).
Since it is very difficult to find the exact solutions of the RST field
equations (even in the non-relativistic limit), an approximation scheme is set
up on the basis of the hydrogen-like wave functions (i.e. polynomial times
exponential). For any approximation order $\NN (\NN=0,1,2,3,...)$ there arises
a spectrum of approximate RST solutions with the associated energies, quite
similarly to the conventional treatment of positronium in the standard quantum
theory (Appendix). For the lowest approximation order $(\NN=0)$ the RST
prediction for the \emph{groundstate} energy exactly agrees with the
conventional prediction of the standard theory. However for the higher
approximation orders $(\NN=1,2,3)$, the corresponding RST prediction differs
from the conventional result by (roughly) $0,9 [eV]$ which confirms the
previous estimate of the error being due to the use of the spherically
symmetric approximation. The excited states require the application of
higher-order approximations $(\NN>>3)$ and are therefore not adequately
described by the present orders $(\NN\le 3)$.
|
[
{
"created": "Sat, 15 Mar 2008 12:05:02 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Jul 2008 19:03:57 GMT",
"version": "v2"
}
] |
2008-07-11
|
[
[
"Mattes",
"M.",
""
],
[
"Sorg",
"M.",
""
]
] |
The lowest energy levels of positronium are studied in the non-relativistic approximation within the framework of Relativistic Schr\"odinger Theory (RST). Since it is very difficult to find the exact solutions of the RST field equations (even in the non-relativistic limit), an approximation scheme is set up on the basis of the hydrogen-like wave functions (i.e. polynomial times exponential). For any approximation order $\NN (\NN=0,1,2,3,...)$ there arises a spectrum of approximate RST solutions with the associated energies, quite similarly to the conventional treatment of positronium in the standard quantum theory (Appendix). For the lowest approximation order $(\NN=0)$ the RST prediction for the \emph{groundstate} energy exactly agrees with the conventional prediction of the standard theory. However for the higher approximation orders $(\NN=1,2,3)$, the corresponding RST prediction differs from the conventional result by (roughly) $0,9 [eV]$ which confirms the previous estimate of the error being due to the use of the spherically symmetric approximation. The excited states require the application of higher-order approximations $(\NN>>3)$ and are therefore not adequately described by the present orders $(\NN\le 3)$.
| 9.336935
| 9.149924
| 9.474187
| 8.873586
| 9.912897
| 9.648678
| 9.029398
| 9.051458
| 8.370972
| 9.723662
| 8.946494
| 9.00603
| 8.74503
| 8.575173
| 8.933899
| 9.211402
| 8.911344
| 8.996585
| 8.639615
| 9.053244
| 9.011053
|
0705.3291
|
Kazumi Okuyama
|
Kazumi Okuyama
|
Instanton Solution in Tachyon Cosmology
|
7 pages, 1 figure
|
Phys.Lett.B658:241-243,2008
|
10.1016/j.physletb.2007.06.046
| null |
hep-th
| null |
We find an exact classical solution in Euclidean gravity coupled to a scalar
field with a particular form of potential commonly used in tachyon cosmology.
This solution represents a tunneling between two vacua.
|
[
{
"created": "Wed, 23 May 2007 06:35:25 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Okuyama",
"Kazumi",
""
]
] |
We find an exact classical solution in Euclidean gravity coupled to a scalar field with a particular form of potential commonly used in tachyon cosmology. This solution represents a tunneling between two vacua.
| 12.290628
| 10.25651
| 9.154337
| 8.78116
| 8.463166
| 9.262771
| 8.846657
| 9.270283
| 9.145375
| 8.837047
| 9.429451
| 9.622693
| 9.404749
| 9.111293
| 9.154325
| 9.595078
| 9.528028
| 9.236426
| 9.237072
| 9.881831
| 9.765596
|
hep-th/0307111
|
Evgeny Ivanov
|
E. Ivanov and O. Lechtenfeld
|
N=4 Supersymmetric Mechanics in Harmonic Superspace
|
31 pages, LaTeX
|
JHEP 0309:073,2003
|
10.1088/1126-6708/2003/09/073
|
ITP-UH-05/03
|
hep-th
| null |
We define N=4, d=1 harmonic superspace HR^{1+2|4} with an SU(2)/U(1) harmonic
part, SU(2) being one of two factors of the R-symmetry group SU(2)xSU(2) of
N=4, d=1 Poincar\'e supersymmetry. We reformulate, in this new setting, the
models of N=4 supersymmetric quantum mechanics associated with the off-shell
multiplets (3, 4, 1) and (4, 4, 0). The latter admit a natural description as
constrained superfields living in an analytic subspace of HR^{1+2|4}. We
construct the relevant superfield actions consisting of a sigma-model as well
as a superpotential parts and demonstrate that the superpotentials can be
written off shell in a manifestly N=4 supersymmetric form only in the analytic
superspace. The constraints implied by N=4 supersymmetry for the component
bosonic target-space metrics, scalar potentials and background one-forms
automatically follow from the harmonic superspace description. The analytic
superspace is shown to be closed under the most general N=4, d=1 superconformal
group D(2,1;\alpha). We give its action on the analytic superfields comprising
the (3, 4, 1) and (4, 4, 0) multiplets, reveal a surprising relation between
the latter and present the corresponding superconformally invariant actions.
The harmonic superspace approach suggests a natural generalization of these
multiplets, with a [2(n+1), 4n, 2(n-1)] off-shell content for n>2.
|
[
{
"created": "Fri, 11 Jul 2003 16:01:59 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Ivanov",
"E.",
""
],
[
"Lechtenfeld",
"O.",
""
]
] |
We define N=4, d=1 harmonic superspace HR^{1+2|4} with an SU(2)/U(1) harmonic part, SU(2) being one of two factors of the R-symmetry group SU(2)xSU(2) of N=4, d=1 Poincar\'e supersymmetry. We reformulate, in this new setting, the models of N=4 supersymmetric quantum mechanics associated with the off-shell multiplets (3, 4, 1) and (4, 4, 0). The latter admit a natural description as constrained superfields living in an analytic subspace of HR^{1+2|4}. We construct the relevant superfield actions consisting of a sigma-model as well as a superpotential parts and demonstrate that the superpotentials can be written off shell in a manifestly N=4 supersymmetric form only in the analytic superspace. The constraints implied by N=4 supersymmetry for the component bosonic target-space metrics, scalar potentials and background one-forms automatically follow from the harmonic superspace description. The analytic superspace is shown to be closed under the most general N=4, d=1 superconformal group D(2,1;\alpha). We give its action on the analytic superfields comprising the (3, 4, 1) and (4, 4, 0) multiplets, reveal a surprising relation between the latter and present the corresponding superconformally invariant actions. The harmonic superspace approach suggests a natural generalization of these multiplets, with a [2(n+1), 4n, 2(n-1)] off-shell content for n>2.
| 6.155985
| 5.680446
| 7.768267
| 5.529585
| 6.321286
| 5.69121
| 6.00825
| 5.720946
| 5.479321
| 8.147165
| 5.393618
| 5.561187
| 6.175645
| 5.634989
| 5.767603
| 5.658653
| 5.603632
| 5.701006
| 5.56939
| 6.333939
| 5.574123
|
1509.06340
|
Roberto Trinchero
|
Diego Pontello and Roberto Trinchero
|
Holographic Wilson loops, Hamilton-Jacobi equation and regularizations
|
25 pages, 5 figures
|
Phys. Rev. D 93, 075007 (2016)
|
10.1103/PhysRevD.93.075007
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The minimal area for surfaces whose border are rectangular and circular loops
are calculated using the Hamilton-Jacobi (HJ) equation. This amounts to solve
the HJ equation for the value of the minimal area, without calculating the
shape of the corresponding surface. This is done for bulk geometries that are
asymptotically AdS. For the rectangular countour, the HJ equation, which is
separable, can be solved exactly. For the circular countour an expansion in
powers of the radius is implemented. The HJ approach naturally leads to a
regularization which consists in locating the countour away from the border.
The results are compared with other regularization which leaves the countour at
the border and calculates the area of the corresponding minimal surface up to a
diameter smaller than the one of the countour at the border. The results do not
coincide, this is traced back to the fact that in the former case the area of a
minimal surface is calculated and in the second the computed area corresponds
to a fraction of a different minimal surface whose countour lies at the
boundary.
|
[
{
"created": "Mon, 21 Sep 2015 19:00:07 GMT",
"version": "v1"
}
] |
2016-04-13
|
[
[
"Pontello",
"Diego",
""
],
[
"Trinchero",
"Roberto",
""
]
] |
The minimal area for surfaces whose border are rectangular and circular loops are calculated using the Hamilton-Jacobi (HJ) equation. This amounts to solve the HJ equation for the value of the minimal area, without calculating the shape of the corresponding surface. This is done for bulk geometries that are asymptotically AdS. For the rectangular countour, the HJ equation, which is separable, can be solved exactly. For the circular countour an expansion in powers of the radius is implemented. The HJ approach naturally leads to a regularization which consists in locating the countour away from the border. The results are compared with other regularization which leaves the countour at the border and calculates the area of the corresponding minimal surface up to a diameter smaller than the one of the countour at the border. The results do not coincide, this is traced back to the fact that in the former case the area of a minimal surface is calculated and in the second the computed area corresponds to a fraction of a different minimal surface whose countour lies at the boundary.
| 10.312541
| 9.435039
| 9.860983
| 8.768419
| 9.537115
| 9.861063
| 9.962832
| 8.886918
| 9.442641
| 11.140889
| 9.047424
| 9.454862
| 9.458104
| 9.158587
| 9.045444
| 9.392636
| 9.200702
| 9.183308
| 9.314761
| 9.46595
| 9.192178
|
hep-th/9503145
| null |
T.Banks
|
Vertex Operators in 2K Dimensions
|
Minor change in notation. Change in references.
|
Phys.Rev. D52 (1995) 2462-2465
|
10.1103/PhysRevD.52.2462
|
RU-95-04
|
hep-th
| null |
A formula is proposed which expresses free fermion fields in 2K dimensions in
terms of the Cartan currents of the free fermion current algebra. This leads,
in an obvious manner, to a vertex operator construction of nonabelian free
fermion current algebras in arbitrary even dimension. It is conjectured that
these ideas may generalize to a wide class of conformal field theories.
|
[
{
"created": "Tue, 21 Mar 1995 22:14:38 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Mar 1995 20:10:50 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Banks",
"T.",
""
]
] |
A formula is proposed which expresses free fermion fields in 2K dimensions in terms of the Cartan currents of the free fermion current algebra. This leads, in an obvious manner, to a vertex operator construction of nonabelian free fermion current algebras in arbitrary even dimension. It is conjectured that these ideas may generalize to a wide class of conformal field theories.
| 11.417301
| 9.215516
| 11.267432
| 8.829791
| 9.73547
| 9.66511
| 8.702217
| 8.929142
| 8.663354
| 11.741463
| 8.450378
| 8.818748
| 9.834387
| 8.999413
| 8.806887
| 9.134583
| 8.592409
| 8.697979
| 8.731312
| 9.961911
| 9.203846
|
hep-th/9408064
|
Michael Penkava
|
Michael Penkava and Albert Schwarz
|
$A_\infty$ Algebras and the Cohomology of Moduli Spaces
|
17 pages, 3 figures. Final version as published, fixes problems in
texing earlier version. Revised to eliminate appendices. Uses boxedeps.tex
for figures
| null | null | null |
hep-th math.QA
| null |
We introduce the notion of cyclic cohomology of an A-infinity algebra and
show that the deformations of an A-infinity algebra which preserve an invariant
inner product are classified by this cohomology. We use this result to
construct some cycles on the moduli space of algebraic curves. The paper also
contains a review of some well known notions and results about Hochschild and
cyclic cohomology of associative algebras, A-infinity algebras, and deformation
theory of algebras, and includes a discussion of the homology of the graph
complex of metric ribbon graphs which is associated to the moduli space of
Riemann surfaces with marked points.
|
[
{
"created": "Wed, 10 Aug 1994 22:35:07 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Oct 1995 22:59:17 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Penkava",
"Michael",
""
],
[
"Schwarz",
"Albert",
""
]
] |
We introduce the notion of cyclic cohomology of an A-infinity algebra and show that the deformations of an A-infinity algebra which preserve an invariant inner product are classified by this cohomology. We use this result to construct some cycles on the moduli space of algebraic curves. The paper also contains a review of some well known notions and results about Hochschild and cyclic cohomology of associative algebras, A-infinity algebras, and deformation theory of algebras, and includes a discussion of the homology of the graph complex of metric ribbon graphs which is associated to the moduli space of Riemann surfaces with marked points.
| 5.150786
| 5.743505
| 5.858743
| 5.219121
| 5.582458
| 5.513549
| 5.20814
| 5.228916
| 5.176007
| 6.224104
| 5.332767
| 5.195452
| 5.382263
| 5.084639
| 5.10638
| 5.155423
| 4.941864
| 5.035148
| 5.325165
| 5.412256
| 5.11367
|
1709.08405
|
Colferai Dimitri Dr
|
Marcello Ciafaloni and Dimitri Colferai
|
Unitarity restoring graviton radiation in the collapse regime of
scattering
|
13 pages, 3 figures
|
Phys. Rev. D 96, 126008 (2017)
|
10.1103/PhysRevD.96.126008
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate graviton radiation in gravitational scattering at small impact
parameters $b<R\equiv 2G\sqrt{s}$ and extreme energies $s\gg M_P^2$, a regime
in which classical collapse is thought to occur, and thus radiation may be
suppressed also. Here however, by analyzing the soft-based representation of
radiation recently proposed in the semiclassical ACV framework, we argue that
gravitons can be efficiently produced in the untrapped region
$|\boldsymbol{x}|\gtrsim R>b$, so as to suggest a possible completion of the
unitarity sum. In fact, such energy radiation at large distances turns out to
compensate and to gradually reduce to nothing the amount of energy $E'$ being
trapped at small-$b$'s, by thus avoiding the quantum tunneling suppression of
the elastic scattering and suggesting a unitary evolution. We finally look at
the coherent radiation sample so obtained and we find that, by energy
conservation, it develops an exponential frequency damping corresponding to a
"quasi-temperature" of order $\hbar/R$, which is naturally related to a Hawking
radiation and is suggestive of a black-hole signal at quantum level.
|
[
{
"created": "Mon, 25 Sep 2017 09:49:21 GMT",
"version": "v1"
}
] |
2017-12-20
|
[
[
"Ciafaloni",
"Marcello",
""
],
[
"Colferai",
"Dimitri",
""
]
] |
We investigate graviton radiation in gravitational scattering at small impact parameters $b<R\equiv 2G\sqrt{s}$ and extreme energies $s\gg M_P^2$, a regime in which classical collapse is thought to occur, and thus radiation may be suppressed also. Here however, by analyzing the soft-based representation of radiation recently proposed in the semiclassical ACV framework, we argue that gravitons can be efficiently produced in the untrapped region $|\boldsymbol{x}|\gtrsim R>b$, so as to suggest a possible completion of the unitarity sum. In fact, such energy radiation at large distances turns out to compensate and to gradually reduce to nothing the amount of energy $E'$ being trapped at small-$b$'s, by thus avoiding the quantum tunneling suppression of the elastic scattering and suggesting a unitary evolution. We finally look at the coherent radiation sample so obtained and we find that, by energy conservation, it develops an exponential frequency damping corresponding to a "quasi-temperature" of order $\hbar/R$, which is naturally related to a Hawking radiation and is suggestive of a black-hole signal at quantum level.
| 22.382336
| 23.921263
| 23.553211
| 21.533281
| 23.54175
| 26.307381
| 24.865705
| 20.923254
| 21.006472
| 25.132015
| 21.989399
| 21.011961
| 21.725075
| 21.086401
| 20.894983
| 21.594744
| 21.71332
| 21.072971
| 20.667854
| 21.137909
| 20.89135
|
hep-th/0003005
|
Hooft 't G.
|
Gerard 't Hooft
|
Determinism and Dissipation in Quantum Gravity, Erice lecture
|
17 pages TeX, 6 PostScript files incapsulated in text. Typographical
and grammatical errors removed. No changes were made in the physical contents
| null | null |
SPIN-2000/07
|
hep-th
| null |
Without invalidating quantum mechanics as a principle underlying the dynamics
of a fundamental theory, it is possible to ask for even more basic dynamical
laws that may yield quantum mechanics as the machinery needed for its
statistical analysis. In conventional systems such as the Standard Model for
quarks and leptons, this would lead to hidden variable theories, which are
known to be plagued by problems such as non-locality. But Planck scale physics
is so different from field theories in some flat background space-time that
here the converse may be the case: we speculate that causality and locality can
only be restored by postulating a deterministic underlying theory. A price to
be paid may be that the underlying theory exhibits dissipation of information.
|
[
{
"created": "Wed, 1 Mar 2000 13:56:55 GMT",
"version": "v1"
},
{
"created": "Tue, 16 May 2000 13:40:51 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Hooft",
"Gerard 't",
""
]
] |
Without invalidating quantum mechanics as a principle underlying the dynamics of a fundamental theory, it is possible to ask for even more basic dynamical laws that may yield quantum mechanics as the machinery needed for its statistical analysis. In conventional systems such as the Standard Model for quarks and leptons, this would lead to hidden variable theories, which are known to be plagued by problems such as non-locality. But Planck scale physics is so different from field theories in some flat background space-time that here the converse may be the case: we speculate that causality and locality can only be restored by postulating a deterministic underlying theory. A price to be paid may be that the underlying theory exhibits dissipation of information.
| 16.481958
| 18.960648
| 16.451351
| 16.227818
| 16.955126
| 17.050451
| 15.785305
| 19.156073
| 15.470791
| 18.002472
| 15.442748
| 14.967238
| 15.630806
| 15.301583
| 15.584902
| 15.202655
| 15.265527
| 15.466982
| 15.183165
| 15.602744
| 15.01499
|
hep-th/0106121
|
Rey Soojong
|
Y. Kiem, S.-J. Rey, H.-T. Sato, J.-T. Yee
|
Open Wilson Lines and Generalized Star Product in Noncommutative Scalar
Field Theories
|
13 pages, Latex, 1 .eps figure, v2. typos corrected, v3.
combinatorics corrected
|
Phys.Rev. D65 (2002) 026002
|
10.1103/PhysRevD.65.026002
|
SNUST 01-0501, IHP/2001/19
|
hep-th
| null |
Open Wilson line operators and generalized star product have been studied
extensively in noncommutative gauge theories. We show that they also show up in
noncommutative scalar field theories as universal structures. We first point
out that dipole picture of noncommutative geometry provides an intuitive
argument for robustness of the open Wilson lines and generalized star products
therein. We calculate one-loop effective action of noncommutative scalar field
theory with cubic self-interaction and show explicitly that the generalized
star products arise in the nonplanar part. It is shown that, at low-energy,
large noncommutativity limit, the nonplanar part is expressible solely in terms
of the {\sl scalar} open Wilson line operator and descendants.
|
[
{
"created": "Thu, 14 Jun 2001 15:32:51 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Jun 2001 05:47:00 GMT",
"version": "v2"
},
{
"created": "Wed, 24 Oct 2001 06:46:43 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Kiem",
"Y.",
""
],
[
"Rey",
"S. -J.",
""
],
[
"Sato",
"H. -T.",
""
],
[
"Yee",
"J. -T.",
""
]
] |
Open Wilson line operators and generalized star product have been studied extensively in noncommutative gauge theories. We show that they also show up in noncommutative scalar field theories as universal structures. We first point out that dipole picture of noncommutative geometry provides an intuitive argument for robustness of the open Wilson lines and generalized star products therein. We calculate one-loop effective action of noncommutative scalar field theory with cubic self-interaction and show explicitly that the generalized star products arise in the nonplanar part. It is shown that, at low-energy, large noncommutativity limit, the nonplanar part is expressible solely in terms of the {\sl scalar} open Wilson line operator and descendants.
| 8.784589
| 8.186279
| 9.453266
| 8.374358
| 8.731452
| 8.19517
| 8.601448
| 8.649035
| 8.18884
| 9.768106
| 8.66347
| 7.924177
| 7.97845
| 7.798671
| 7.877104
| 7.954504
| 7.913047
| 7.855295
| 7.613565
| 7.939657
| 8.301011
|
2207.08885
|
Tatsuya Daniel
|
Stephon Alexander, Tatsuya Daniel, Joao Magueijo
|
The Ashtekar Variables and a Varying Cosmological Constant from
Dynamical Chern-Simons Gravity
|
8 pages, 1 figure
| null | null | null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We revisit the Kodama state by quantizing the theory of General Relativity
(GR) with dynamical Chern-Simons (dCS) gravity. We find a new exact solution to
the Wheeler-DeWitt equation where the Pontryagin term induces a modification in
the Kodama state from quantizing GR alone. The dCS modification directly
encodes the variation of the cosmological constant.
|
[
{
"created": "Mon, 18 Jul 2022 18:56:28 GMT",
"version": "v1"
},
{
"created": "Sun, 31 Mar 2024 22:49:21 GMT",
"version": "v2"
}
] |
2024-04-02
|
[
[
"Alexander",
"Stephon",
""
],
[
"Daniel",
"Tatsuya",
""
],
[
"Magueijo",
"Joao",
""
]
] |
We revisit the Kodama state by quantizing the theory of General Relativity (GR) with dynamical Chern-Simons (dCS) gravity. We find a new exact solution to the Wheeler-DeWitt equation where the Pontryagin term induces a modification in the Kodama state from quantizing GR alone. The dCS modification directly encodes the variation of the cosmological constant.
| 10.202909
| 9.116421
| 8.3429
| 8.091002
| 9.34325
| 9.166888
| 10.183811
| 8.838799
| 8.943472
| 9.03697
| 9.667495
| 8.61336
| 7.991997
| 8.522048
| 9.138901
| 9.167401
| 9.057065
| 8.630507
| 9.049622
| 8.579617
| 9.348002
|
1201.3132
|
Xiao Xiao
|
Ali Masoumi, Xiao Xiao
|
Moving Stable Solitons in Galileon Theory
|
10 pages, 5 figures, references added, minor corrections
|
published in Phys.Lett.B 2012.07.019
|
10.1016/j.physletb.2012.07.019
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Despite the no-go theorem [5] which rules out static stable solitons in
Galileon theory, we propose a family of solitons that evade the theorem by
traveling at the speed of light. These domain-wall-like solitons are stable
under small fluctuations-analysis of perturbation shows neither ghost-like nor
tachyon-like instabilities, and perturbative collision of these solitons
suggests that they pass through each other asymptotically, which maybe an
indication of the integrability of the theory itself.
|
[
{
"created": "Sun, 15 Jan 2012 22:13:09 GMT",
"version": "v1"
},
{
"created": "Tue, 15 May 2012 17:43:49 GMT",
"version": "v2"
},
{
"created": "Tue, 17 Jul 2012 22:38:07 GMT",
"version": "v3"
}
] |
2012-07-19
|
[
[
"Masoumi",
"Ali",
""
],
[
"Xiao",
"Xiao",
""
]
] |
Despite the no-go theorem [5] which rules out static stable solitons in Galileon theory, we propose a family of solitons that evade the theorem by traveling at the speed of light. These domain-wall-like solitons are stable under small fluctuations-analysis of perturbation shows neither ghost-like nor tachyon-like instabilities, and perturbative collision of these solitons suggests that they pass through each other asymptotically, which maybe an indication of the integrability of the theory itself.
| 13.075225
| 11.157708
| 11.944078
| 12.038962
| 11.789796
| 11.703015
| 11.671322
| 12.281512
| 10.466702
| 13.145882
| 11.751101
| 11.552791
| 11.74631
| 11.214226
| 11.126807
| 11.400245
| 10.753131
| 11.551238
| 11.380944
| 11.736373
| 11.611909
|
hep-th/0012119
|
Motavali
|
Hossein Motavali, Mahdi Golshani
|
Exact Solutions for Cosmological Models with a Scalar Field
|
7 pages
| null | null | null |
hep-th
| null |
We consider the existence of a Noether symmetry in the scalar-tensor theory
of gravity in flat Friedman Robertson Walker (FRW) cosmology. The forms of
coupling function $\omega(\phi)$ and generic potential $V(\phi)$ are obtained
by requiring the existence of a Noether symmetry for such theory. We derive
exact cosmological solutions of the field equations from a point-like
Lagrangian.
|
[
{
"created": "Wed, 13 Dec 2000 19:04:58 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Feb 2001 11:09:38 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Motavali",
"Hossein",
""
],
[
"Golshani",
"Mahdi",
""
]
] |
We consider the existence of a Noether symmetry in the scalar-tensor theory of gravity in flat Friedman Robertson Walker (FRW) cosmology. The forms of coupling function $\omega(\phi)$ and generic potential $V(\phi)$ are obtained by requiring the existence of a Noether symmetry for such theory. We derive exact cosmological solutions of the field equations from a point-like Lagrangian.
| 6.958422
| 6.824868
| 5.107514
| 5.596762
| 6.042389
| 5.605119
| 6.267222
| 5.484076
| 6.572516
| 5.960885
| 6.214848
| 6.35311
| 5.599982
| 5.771285
| 5.904643
| 5.910276
| 6.043135
| 5.658117
| 6.220142
| 5.929988
| 6.198487
|
hep-th/0311211
|
Dmitri Kazakov
|
D.I.Kazakov
|
Field Theory in Extra Dimensions
|
Latex, 9 pages, 1 eps figure; Talk given at the conference
"Supersymmetries and Quantum Symmetries", Dubna, July 2003
| null | null | null |
hep-th
| null |
We analyze the possibility to construct a self-consistent gauge field theory
in $D>4$. We first look for the cancellation of the UV divergences in SUSY
theories. Then, following the Wilson RG approach, we study the RG equation for
the gauge coupling in perturbative and nonperturbative regimes. In the first
case the power low running is discussed. In the second case it is shown that
there exist the ultraviolet fixed point where the gauge coupling is
dimensionless in any space-time dimension. This fixed point is nonperturbative
and corresponds to scale invariant theory. The same phenomenon also happens in
supersymmetric theory in D=6.
|
[
{
"created": "Sat, 22 Nov 2003 14:52:33 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Kazakov",
"D. I.",
""
]
] |
We analyze the possibility to construct a self-consistent gauge field theory in $D>4$. We first look for the cancellation of the UV divergences in SUSY theories. Then, following the Wilson RG approach, we study the RG equation for the gauge coupling in perturbative and nonperturbative regimes. In the first case the power low running is discussed. In the second case it is shown that there exist the ultraviolet fixed point where the gauge coupling is dimensionless in any space-time dimension. This fixed point is nonperturbative and corresponds to scale invariant theory. The same phenomenon also happens in supersymmetric theory in D=6.
| 8.279787
| 7.55982
| 7.790408
| 7.426846
| 7.599498
| 7.521367
| 7.711235
| 7.158935
| 7.177373
| 7.969079
| 7.539819
| 7.747195
| 7.912405
| 7.712743
| 7.764662
| 7.688416
| 7.867042
| 7.651591
| 7.847515
| 7.636109
| 7.694554
|
1309.6434
|
Antonio Amariti
|
A. Amariti
|
A Note On 3D N=2 Dualities: Real Mass Flow And Partition Function
|
25 pages
| null |
10.1007/JHEP03(2014)064
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study two well-known classes of dualities in three dimensional N=2
supersymmetric field theories. In the first class there are non trivial
interactions involving monopole operators while in the second class the dual
gauge theories have Chern-Simons terms in the action. An RG flows connecting
the first dual pair to the second one has been studied in the past and tested
on the partition function on the squashed three sphere. Recently an opposite RG
flow connecting the second dual pair to the first one has been studied in the
case of unitary gauge groups. In this paper we study this flow on the partition
function on the squashed three sphere. We verify that the equality between the
partition functions of the original dual models is preserved in the IR, where
the other dual pair is reached. We generalize the analysis to the case of
symplectic and of orthogonal groups.
|
[
{
"created": "Wed, 25 Sep 2013 09:17:24 GMT",
"version": "v1"
}
] |
2015-06-17
|
[
[
"Amariti",
"A.",
""
]
] |
We study two well-known classes of dualities in three dimensional N=2 supersymmetric field theories. In the first class there are non trivial interactions involving monopole operators while in the second class the dual gauge theories have Chern-Simons terms in the action. An RG flows connecting the first dual pair to the second one has been studied in the past and tested on the partition function on the squashed three sphere. Recently an opposite RG flow connecting the second dual pair to the first one has been studied in the case of unitary gauge groups. In this paper we study this flow on the partition function on the squashed three sphere. We verify that the equality between the partition functions of the original dual models is preserved in the IR, where the other dual pair is reached. We generalize the analysis to the case of symplectic and of orthogonal groups.
| 7.020691
| 5.868262
| 7.614809
| 5.956881
| 6.479471
| 6.589176
| 6.169108
| 6.100997
| 5.908551
| 7.911712
| 6.093648
| 6.416077
| 7.077043
| 6.495043
| 6.553937
| 6.542684
| 6.298572
| 6.586709
| 6.32135
| 6.797403
| 6.43319
|
hep-th/0610094
|
Giuseppe Vitiello
|
Giuseppe Vitiello
|
Links. Relating different physical systems through the common QFT
algebraic structure
| null |
Lect.NotesPhys.718:165-205,2007
|
10.1007/3-540-70859-6_7
| null |
hep-th
| null |
In this report I review some aspects of the algebraic structure of QFT
related with the doubling of the degrees of freedom of the system under study.
I show how such a doubling is related to the characterizing feature of QFT
consisting in the existence of infinitely many unitarily inequivalent
representations of the canonical (anti-)commutation relations and how this is
described by the q-deformed Hopf algebra. I consider several examples, such as
the damped harmonic oscillator, the quantum Brownian motion, thermal field
theories, squeezed states, classical-to-quantum relation, and show the
analogies, or links, among them arising from the common algebraic structure of
the q-deformed Hopf algebra.
|
[
{
"created": "Mon, 9 Oct 2006 12:43:52 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Vitiello",
"Giuseppe",
""
]
] |
In this report I review some aspects of the algebraic structure of QFT related with the doubling of the degrees of freedom of the system under study. I show how such a doubling is related to the characterizing feature of QFT consisting in the existence of infinitely many unitarily inequivalent representations of the canonical (anti-)commutation relations and how this is described by the q-deformed Hopf algebra. I consider several examples, such as the damped harmonic oscillator, the quantum Brownian motion, thermal field theories, squeezed states, classical-to-quantum relation, and show the analogies, or links, among them arising from the common algebraic structure of the q-deformed Hopf algebra.
| 8.513307
| 7.999705
| 8.272513
| 7.878561
| 8.081062
| 8.418653
| 7.613714
| 7.805865
| 7.171956
| 10.103066
| 7.577084
| 7.435277
| 8.058193
| 7.825714
| 7.590382
| 7.782484
| 7.606625
| 7.468926
| 7.804192
| 8.148636
| 7.606623
|
hep-th/0512247
|
Andrew Fitzpatrick
|
A. Liam Fitzpatrick, Lisa Randall
|
Localizing Gravity on the Triple Intersection of 7-branes in 10D
|
18 pages, 1 figure
|
JHEP 0601:113,2006
|
10.1088/1126-6708/2006/01/113
| null |
hep-th astro-ph
| null |
It was recently proposed that our universe could naturally come to be
dominated by 3-branes and 7-branes if the universe is ten-dimensional. In this
paper, we explicitly demonstrate that gravity can be localized on the
intersection of three 7-branes in AdS10 to give four-dimensional gravity. We
derive the exact relations among the tensions of the branes, and show that they
apply independently of the precise distribution of energy within the
necessarily thickened branes. We demonstrate this with several technical
sections showing a simple formula for the curvature tensor of a diagonal metric
with isometries as well as for the curvature at a gravitational singularity. We
also demonstrate a subtlety in applying Stoke's Theorem to this set-up.
|
[
{
"created": "Mon, 19 Dec 2005 23:32:06 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Fitzpatrick",
"A. Liam",
""
],
[
"Randall",
"Lisa",
""
]
] |
It was recently proposed that our universe could naturally come to be dominated by 3-branes and 7-branes if the universe is ten-dimensional. In this paper, we explicitly demonstrate that gravity can be localized on the intersection of three 7-branes in AdS10 to give four-dimensional gravity. We derive the exact relations among the tensions of the branes, and show that they apply independently of the precise distribution of energy within the necessarily thickened branes. We demonstrate this with several technical sections showing a simple formula for the curvature tensor of a diagonal metric with isometries as well as for the curvature at a gravitational singularity. We also demonstrate a subtlety in applying Stoke's Theorem to this set-up.
| 16.728943
| 18.530842
| 16.955353
| 15.308506
| 15.951324
| 16.5728
| 17.311207
| 16.961065
| 15.486428
| 16.706093
| 14.960068
| 16.112408
| 16.244255
| 15.864147
| 16.774809
| 15.651112
| 15.84255
| 15.731841
| 16.089195
| 16.168236
| 15.616384
|
hep-th/0405026
|
Simon F. Ross
|
Paul Bostock and Simon F. Ross
|
Smeared branes and the Gubser-Mitra conjecture
|
7p, 2 figures
|
Phys.Rev. D70 (2004) 064014
|
10.1103/PhysRevD.70.064014
| null |
hep-th
| null |
We show that smeared brane solutions, where a charged black p-brane is
smeared uniformly over one of the transverse directions, can have a
Gregory-Laflamme type dynamical instability in the smeared direction even when
the solution is locally thermodynamically stable. These thus provide
counterexamples to the Gubser-Mitra conjecture, which links local dynamical and
thermodynamic stability. The existence of a dynamical instability is
demonstrated by exploiting an ansatz due to Harmark and Obers, which relates
charged solutions to neutral ones.
|
[
{
"created": "Tue, 4 May 2004 08:51:46 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Bostock",
"Paul",
""
],
[
"Ross",
"Simon F.",
""
]
] |
We show that smeared brane solutions, where a charged black p-brane is smeared uniformly over one of the transverse directions, can have a Gregory-Laflamme type dynamical instability in the smeared direction even when the solution is locally thermodynamically stable. These thus provide counterexamples to the Gubser-Mitra conjecture, which links local dynamical and thermodynamic stability. The existence of a dynamical instability is demonstrated by exploiting an ansatz due to Harmark and Obers, which relates charged solutions to neutral ones.
| 7.903906
| 7.849313
| 9.100969
| 7.454885
| 6.985216
| 6.94354
| 6.98951
| 7.010595
| 7.161908
| 9.260797
| 7.25774
| 7.383992
| 8.092667
| 7.348835
| 7.378987
| 7.850331
| 7.52741
| 7.563108
| 7.314928
| 8.220988
| 7.41607
|
hep-th/0502110
|
P. Narayana Swamy
|
R. Acharya and P. Narayana Swamy
|
Asymptotic Freedom and Infrared slavery in PT-symmetric Quantum
Electrodynamics
|
11pages, LaTeX, no figures, This replaces the previous version
hep-th/0502110
| null | null | null |
hep-th
| null |
We establish that there is no finite PT-symmetric Quantum Electrodynamics
(QED) and as a consequence the Callan-Symanzik function $\beta(\alpha)<0$ for
all $\alpha$ greater than zero: PT-symmetric QED exhibits both asymptotic
freedom and infrared slavery.
|
[
{
"created": "Fri, 11 Feb 2005 17:35:56 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Jun 2005 18:33:19 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Acharya",
"R.",
""
],
[
"Swamy",
"P. Narayana",
""
]
] |
We establish that there is no finite PT-symmetric Quantum Electrodynamics (QED) and as a consequence the Callan-Symanzik function $\beta(\alpha)<0$ for all $\alpha$ greater than zero: PT-symmetric QED exhibits both asymptotic freedom and infrared slavery.
| 10.233164
| 8.971037
| 9.720964
| 8.366465
| 8.968495
| 8.415305
| 10.094054
| 9.579345
| 8.893383
| 9.98167
| 8.509009
| 8.861088
| 8.801127
| 8.563328
| 9.061401
| 8.38088
| 8.52685
| 8.320279
| 8.711782
| 9.441301
| 8.293221
|
hep-th/9805157
|
henry Tye
|
Gary Shiu and S.-H. Henry Tye
|
TeV Scale Superstring and Extra Dimensions
|
Revtex 3.0, 24 pages, Introduction revised to correct citations,
typos corrected, minor changes
|
Phys.Rev. D58 (1998) 106007
|
10.1103/PhysRevD.58.106007
|
CLNS 98/1561
|
hep-th hep-ph
| null |
Utilizing the idea of extra large dimensions, it has been suggested that the
gauge and gravity couplings unification can happen at a scale as low as 1 TeV.
In this paper, we explore this phenomenological possibility within string
theory. In particular, we discuss how the proton decay bound can be satisfied
in Type I string theory. The string picture also suggests different scenarios
of gauge and gravitational couplings unification. The various scenarios are
explicitly illustrated with a specific 4-dimensional N=1 supersymmetric chiral
Type I string model with Pati-Salam-like gauge symmetry. We point out certain
features that should be generic in other Type I strings.
|
[
{
"created": "Sun, 24 May 1998 22:54:18 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Jun 1998 19:32:17 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Shiu",
"Gary",
""
],
[
"Tye",
"S. -H. Henry",
""
]
] |
Utilizing the idea of extra large dimensions, it has been suggested that the gauge and gravity couplings unification can happen at a scale as low as 1 TeV. In this paper, we explore this phenomenological possibility within string theory. In particular, we discuss how the proton decay bound can be satisfied in Type I string theory. The string picture also suggests different scenarios of gauge and gravitational couplings unification. The various scenarios are explicitly illustrated with a specific 4-dimensional N=1 supersymmetric chiral Type I string model with Pati-Salam-like gauge symmetry. We point out certain features that should be generic in other Type I strings.
| 8.85699
| 8.609715
| 8.433758
| 7.93992
| 8.321183
| 9.068652
| 8.355732
| 8.97144
| 7.881175
| 8.721022
| 8.091639
| 8.050659
| 7.828213
| 7.969035
| 7.787711
| 7.999093
| 7.814794
| 8.007717
| 7.905657
| 7.800665
| 7.936733
|
2305.05693
|
Jos\'e Calder\'on-Infante
|
Florent Baume and Jos\'e Calder\'on-Infante
|
On Higher-Spin Points and Infinite Distances in Conformal Manifolds
|
34 pages + appendices; two figures. v2: matches published version
|
JHEP 12 (2023) 163
|
10.1007/JHEP12(2023)163
|
CERN-TH-2023-067; ZMP-HH/23-6
|
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
Distances in the conformal manifold, the space of CFTs related by marginal
deformations, can be measured in terms of the Zamolodchikov metric. Part of the
CFT Distance Conjecture posits that points in this manifold where part of the
spectrum becomes free, called higher-spin points, can only be at infinite
distance from the interior. There, an infinite tower of operators become
conserved currents, and the conformal symmetry is enhanced to a higher-spin
algebra. This proposal was initially motivated by the Swampland Distance
Conjecture, one of pillars of the Swampland Program. In this work, we show that
the conjecture can be tackled using only methods from the conformal toolkit,
and without relying on the existence of a weakly-coupled gravity dual. Via
conformal perturbation theory combined with properties of correlators and of
the higher-spin algebra, we establish that higher-spin points are indeed at
infinite distance in the conformal manifold. We make no assumptions besides the
usual properties of local CFTs, such as unitarity and the existence of an
energy-momentum tensor. In particular, we do not rely on a specific dimension
of spacetime (although we assume $d>2$), nor do we require the presence of
supersymmetry.
|
[
{
"created": "Tue, 9 May 2023 18:00:03 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Jan 2024 10:29:20 GMT",
"version": "v2"
}
] |
2024-01-09
|
[
[
"Baume",
"Florent",
""
],
[
"Calderón-Infante",
"José",
""
]
] |
Distances in the conformal manifold, the space of CFTs related by marginal deformations, can be measured in terms of the Zamolodchikov metric. Part of the CFT Distance Conjecture posits that points in this manifold where part of the spectrum becomes free, called higher-spin points, can only be at infinite distance from the interior. There, an infinite tower of operators become conserved currents, and the conformal symmetry is enhanced to a higher-spin algebra. This proposal was initially motivated by the Swampland Distance Conjecture, one of pillars of the Swampland Program. In this work, we show that the conjecture can be tackled using only methods from the conformal toolkit, and without relying on the existence of a weakly-coupled gravity dual. Via conformal perturbation theory combined with properties of correlators and of the higher-spin algebra, we establish that higher-spin points are indeed at infinite distance in the conformal manifold. We make no assumptions besides the usual properties of local CFTs, such as unitarity and the existence of an energy-momentum tensor. In particular, we do not rely on a specific dimension of spacetime (although we assume $d>2$), nor do we require the presence of supersymmetry.
| 7.180776
| 6.605064
| 7.811452
| 6.255192
| 7.038824
| 6.716011
| 6.809665
| 6.780888
| 6.861913
| 8.69767
| 6.831172
| 6.502836
| 6.9575
| 6.520401
| 6.478494
| 6.360635
| 6.222683
| 6.636793
| 6.408785
| 6.956397
| 6.512881
|
2309.14620
|
Mykola Stetsko
|
M. M. Stetsko
|
Static black hole in minimal Horndeski gravity with Maxwell and
Yang-Mills fields and some aspects of its thermodynamics
|
27 pages + references, 7 figures
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we obtain a static spherically symmetric charged black hole
solution in the framework of minimal Horndeski gravity with additional Maxwell
and Yang-Mills fields. The obtained solution is examined, in particular its
asymptotics are studied. Thermodynamics of the black hole is investigated,
namely we use an effective surface gravity to derive black hole temperature. To
obtain the first law of black hole thermodynamics the Wald method is applied.
We also use the extended thermodynamics approach, namely it allows us to derive
the Smarr relation, Gibbs free energy and the thermal equation of state. The
study of thermal values in the extended space shows rich phase behaviour, in
particular domain where the first order phase transition takes place and the
critical point with the second order phase transition. We also study thermal
behaviour near the critical point, obtain critical exponents and analyse the
Ehrenfest's equations at the critical point. Finally, we calculate the
Prigogine-Defay ratio confirming the conclusion about the second order phase
transition at the critical point.
|
[
{
"created": "Tue, 26 Sep 2023 02:19:51 GMT",
"version": "v1"
}
] |
2023-09-27
|
[
[
"Stetsko",
"M. M.",
""
]
] |
In this work we obtain a static spherically symmetric charged black hole solution in the framework of minimal Horndeski gravity with additional Maxwell and Yang-Mills fields. The obtained solution is examined, in particular its asymptotics are studied. Thermodynamics of the black hole is investigated, namely we use an effective surface gravity to derive black hole temperature. To obtain the first law of black hole thermodynamics the Wald method is applied. We also use the extended thermodynamics approach, namely it allows us to derive the Smarr relation, Gibbs free energy and the thermal equation of state. The study of thermal values in the extended space shows rich phase behaviour, in particular domain where the first order phase transition takes place and the critical point with the second order phase transition. We also study thermal behaviour near the critical point, obtain critical exponents and analyse the Ehrenfest's equations at the critical point. Finally, we calculate the Prigogine-Defay ratio confirming the conclusion about the second order phase transition at the critical point.
| 7.964748
| 7.413612
| 7.629787
| 7.145287
| 7.529743
| 7.817381
| 8.106208
| 6.891722
| 7.609883
| 8.065052
| 7.27529
| 7.440876
| 7.461873
| 7.374745
| 7.271535
| 7.640384
| 7.468992
| 7.339248
| 7.480401
| 7.666702
| 7.216346
|
2112.07340
|
Andrey Pikelner
|
Andrey Pikelner
|
Four-loop critical properties of polymerized membranes
|
4 pages, ancillary files with results
| null |
10.1209/0295-5075/ac6441
| null |
hep-th cond-mat.stat-mech
|
http://creativecommons.org/licenses/by/4.0/
|
We calculate four-loop order corrections to the critical exponent $\eta$ in
the two-field model of flat phase membranes. Obtained results show better
agreement with the other calculation methods and confirm the validity of the
perturbative approach to the considered problem.
|
[
{
"created": "Tue, 14 Dec 2021 12:56:07 GMT",
"version": "v1"
}
] |
2022-05-31
|
[
[
"Pikelner",
"Andrey",
""
]
] |
We calculate four-loop order corrections to the critical exponent $\eta$ in the two-field model of flat phase membranes. Obtained results show better agreement with the other calculation methods and confirm the validity of the perturbative approach to the considered problem.
| 18.124628
| 15.846037
| 17.545418
| 14.716287
| 19.302008
| 15.944715
| 16.502005
| 17.474094
| 16.872829
| 19.580889
| 16.642056
| 16.353481
| 15.943088
| 14.760633
| 15.984813
| 14.856772
| 15.02103
| 15.876187
| 15.02093
| 16.228498
| 14.536863
|
hep-th/0403163
|
Marco Serone
|
C.A. Scrucca and M. Serone
|
Anomalies in field theories with extra dimensions
|
Review article written for Int.J.Mod.Phys. A, 63 pages; v2: mistake
in subsection 4.3 corrected, some comments and references added, a few
misprints fixed
|
Int.J.Mod.Phys. A19 (2004) 2579-2642
|
10.1142/S0217751X04018518
|
CERN-PH-TH/2004-041; SISSA-17/2004/EP
|
hep-th hep-ph
| null |
We give an overview of the issue of anomalies in field theories with extra
dimensions. We start by reviewing in a pedagogical way the computation of the
standard perturbative gauge and gravitational anomalies on non-compact spaces,
using Fujikawa's approach and functional integral methods, and discuss the
available mechanisms for their cancellation. We then generalize these analyses
to the case of orbifold field theories with compact internal dimensions,
emphasizing the new aspects related to the presence of orbifold singularities
and discrete Wilson lines, and the new cancellation mechanisms that are
becoming available. We conclude with a very brief discussion on global and
parity anomalies.
|
[
{
"created": "Tue, 16 Mar 2004 15:30:21 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Mar 2004 10:45:10 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Scrucca",
"C. A.",
""
],
[
"Serone",
"M.",
""
]
] |
We give an overview of the issue of anomalies in field theories with extra dimensions. We start by reviewing in a pedagogical way the computation of the standard perturbative gauge and gravitational anomalies on non-compact spaces, using Fujikawa's approach and functional integral methods, and discuss the available mechanisms for their cancellation. We then generalize these analyses to the case of orbifold field theories with compact internal dimensions, emphasizing the new aspects related to the presence of orbifold singularities and discrete Wilson lines, and the new cancellation mechanisms that are becoming available. We conclude with a very brief discussion on global and parity anomalies.
| 8.090518
| 7.916933
| 8.350653
| 7.995855
| 8.428051
| 8.339352
| 8.067674
| 7.627546
| 7.914815
| 8.764056
| 8.030618
| 8.01967
| 8.438779
| 7.900515
| 7.809082
| 8.100346
| 7.713786
| 7.621064
| 8.058329
| 8.462495
| 7.87732
|
1001.2433
|
Vasilis Oikonomou
|
V.K.Oikonomou
|
Witten Index and Superconducting Strings
|
9 pages
|
Mod.Phys.Lett.A25:2611-2619,2010
|
10.1142/S0217732310033839
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Yukawa interaction sector of superstring inspired models that give
superconducting strings, can be described in terms of a supersymmetric quantum
mechanics algebra. We relate the Witten index of susy quantum mechanics with an
index characteristic to superconducting string models.
|
[
{
"created": "Thu, 14 Jan 2010 11:50:37 GMT",
"version": "v1"
}
] |
2010-10-15
|
[
[
"Oikonomou",
"V. K.",
""
]
] |
The Yukawa interaction sector of superstring inspired models that give superconducting strings, can be described in terms of a supersymmetric quantum mechanics algebra. We relate the Witten index of susy quantum mechanics with an index characteristic to superconducting string models.
| 18.892569
| 18.503035
| 19.466232
| 16.797085
| 17.978714
| 15.385462
| 16.490969
| 18.819231
| 17.760828
| 21.732887
| 18.299263
| 16.791063
| 19.714581
| 17.957994
| 17.935881
| 17.275078
| 16.96023
| 17.760595
| 17.268373
| 18.668247
| 16.585865
|
hep-th/9507040
|
Noureddine Mohammedi
|
Noureddine Mohammedi
|
Classical Duality in Gauge Theories
|
7 pages, latex, no figures
| null | null |
SHEP 95/23
|
hep-th
| null |
A dual action is obtained for a general non-abelian and non-supersymmetric
gauge theory at the classical level. The construction follows steps similar to
those used in pure abelian gauge theory. As an example we study the
spontaneously broken SO(3) gauge theory and show that the electric and the
magnetic fields get interchanged in the dual theory.
|
[
{
"created": "Mon, 10 Jul 1995 02:53:00 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Mohammedi",
"Noureddine",
""
]
] |
A dual action is obtained for a general non-abelian and non-supersymmetric gauge theory at the classical level. The construction follows steps similar to those used in pure abelian gauge theory. As an example we study the spontaneously broken SO(3) gauge theory and show that the electric and the magnetic fields get interchanged in the dual theory.
| 11.922745
| 7.64117
| 9.136777
| 7.827606
| 7.71128
| 7.439875
| 8.264575
| 7.510548
| 7.27369
| 8.316483
| 8.39433
| 7.739777
| 8.656217
| 7.897871
| 7.870085
| 8.026114
| 7.629152
| 7.763907
| 7.902327
| 8.539414
| 7.88896
|
1810.07672
|
Prasanna Kumar Dhani
|
Pulak Banerjee, Amlan Chakraborty, Prasanna K. Dhani, V. Ravindran and
Satyajit Seth
|
Second order splitting functions and infrared safe cross sections in
$\mathcal{N}=4$ SYM theory
|
31 pages
|
JHEP 1904 (2019) 058
|
10.1007/JHEP04(2019)058
|
IMSc/2018/10/07, IPPP/18/96
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We report our findings on the perturbative structure of ${\cal N}=4$
supersymmetric Yang-Mills (SYM) theory in the infrared sector by computing
inclusive scattering cross sections of on-shell particles. We use half-BPS,
energy-momentum tensor and Konishi operators to produce singlet states in the
scattering processes to probe the soft and the collinear properties of the
cross sections. By appropriately defining the infrared safe observables, we
obtain collinear splitting functions up to second order in the perturbation
theory. The splitting functions and the infrared finite cross sections
demonstrate several interesting connections with those in the perturbative QCD.
We also determine the process independent soft distribution function up to
third order in the perturbation theory and show that it is universal {\it i.e.}
independent of the operators as well as the external states. Interestingly, the
soft distribution function in ${\cal N}=4$ SYM theory matches exactly with the
leading transcendental part of the corresponding one in the QCD. This enables
us to predict the third order soft plus virtual cross section for the
production of the on-shell singlet states.
|
[
{
"created": "Wed, 17 Oct 2018 17:09:29 GMT",
"version": "v1"
},
{
"created": "Sun, 28 Apr 2019 16:26:27 GMT",
"version": "v2"
}
] |
2019-04-30
|
[
[
"Banerjee",
"Pulak",
""
],
[
"Chakraborty",
"Amlan",
""
],
[
"Dhani",
"Prasanna K.",
""
],
[
"Ravindran",
"V.",
""
],
[
"Seth",
"Satyajit",
""
]
] |
We report our findings on the perturbative structure of ${\cal N}=4$ supersymmetric Yang-Mills (SYM) theory in the infrared sector by computing inclusive scattering cross sections of on-shell particles. We use half-BPS, energy-momentum tensor and Konishi operators to produce singlet states in the scattering processes to probe the soft and the collinear properties of the cross sections. By appropriately defining the infrared safe observables, we obtain collinear splitting functions up to second order in the perturbation theory. The splitting functions and the infrared finite cross sections demonstrate several interesting connections with those in the perturbative QCD. We also determine the process independent soft distribution function up to third order in the perturbation theory and show that it is universal {\it i.e.} independent of the operators as well as the external states. Interestingly, the soft distribution function in ${\cal N}=4$ SYM theory matches exactly with the leading transcendental part of the corresponding one in the QCD. This enables us to predict the third order soft plus virtual cross section for the production of the on-shell singlet states.
| 7.648248
| 8.331337
| 7.77468
| 7.567105
| 8.198706
| 8.097098
| 8.266921
| 7.797262
| 7.412798
| 8.175723
| 8.059011
| 7.678859
| 7.848003
| 7.492767
| 7.654298
| 7.649311
| 7.8848
| 7.755919
| 7.568062
| 7.822116
| 7.895024
|
hep-th/0506103
|
Jun-Chen Su
|
Jun-Chen Su
|
Massive gauge field theory without Higgs mechanism
| null |
EconfC0306234:965-972,2003
| null | null |
hep-th
| null |
It is argued that the massive gauge field theory without the Higgs mechanism
can well be set up on the gauge-invariance principle based on the viewpoint
that a massive gauge field must be viewed as a constrained system and the
Lorentz condition, as a constraint, must be introduced from the beginning and
imposed on the Yang-Mills Lagrangian. The quantum theory for the massive gauge
fieldis may perfectly be established by the quantization performed in the
Hamiltonian or the Lagrangian path-integral formalism by means of the Lagrange
undetermined multiplier method and shows good renormalizability and unitarity.
|
[
{
"created": "Mon, 13 Jun 2005 12:19:14 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Su",
"Jun-Chen",
""
]
] |
It is argued that the massive gauge field theory without the Higgs mechanism can well be set up on the gauge-invariance principle based on the viewpoint that a massive gauge field must be viewed as a constrained system and the Lorentz condition, as a constraint, must be introduced from the beginning and imposed on the Yang-Mills Lagrangian. The quantum theory for the massive gauge fieldis may perfectly be established by the quantization performed in the Hamiltonian or the Lagrangian path-integral formalism by means of the Lagrange undetermined multiplier method and shows good renormalizability and unitarity.
| 10.732593
| 9.666412
| 9.910286
| 9.522881
| 8.169049
| 8.484519
| 8.640105
| 9.555429
| 9.19959
| 11.639393
| 9.241102
| 9.830959
| 10.326138
| 10.094859
| 10.024767
| 9.899375
| 9.902562
| 10.255023
| 10.233048
| 9.957329
| 10.034945
|
hep-th/0005079
|
Gert Roepstorff
|
G.Roepstorff
|
A Class of Anomaly-Free Gauge Theories
|
9 pages, LaTeX2e, AMS fonts
| null | null | null |
hep-th
| null |
We report on a detailed calculation of the anomaly coefficients for the odd
and even parts of the $Z_2$-graded representation $\theta$ of the Lie algebra
Lie$ G$ on the exterior algebra of dimension $2^n$ assuming that $G\subset
U(n)$. The coefficients vanish provided $G\subset SU(n)$ and $n\ne3$. The
singular role of the gauge group SU(3) is emphasized.
The Standard Model is covered by this result.
|
[
{
"created": "Tue, 9 May 2000 08:55:13 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Roepstorff",
"G.",
""
]
] |
We report on a detailed calculation of the anomaly coefficients for the odd and even parts of the $Z_2$-graded representation $\theta$ of the Lie algebra Lie$ G$ on the exterior algebra of dimension $2^n$ assuming that $G\subset U(n)$. The coefficients vanish provided $G\subset SU(n)$ and $n\ne3$. The singular role of the gauge group SU(3) is emphasized. The Standard Model is covered by this result.
| 13.537951
| 14.411693
| 13.228172
| 12.148083
| 13.598606
| 14.192254
| 14.235409
| 15.822898
| 12.967338
| 13.925997
| 13.435995
| 12.231834
| 13.167048
| 12.391404
| 12.934813
| 12.736719
| 12.338818
| 12.615196
| 12.08301
| 13.00397
| 12.112331
|
1912.07637
|
Robie Hennigar
|
Shane Andrews, Robie A. Hennigar, Hari K. Kunduri
|
Chemistry and Complexity for Solitons in AdS$_5$
|
54 pages, 9 figures
| null |
10.1088/1361-6382/ab8143
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Minimal $D=5$ supergravity admits asymptotically globally AdS$_5$
gravitational solitons (strictly stationary, geodesically complete spacetimes
with positive mass). We show that, like asymptotically flat gravitational
solitons, these solutions satisfy mass and mass variation formulas analogous to
those satisfied by AdS black holes. A thermodynamic volume associated to the
non-trivial topology of the spacetime plays an important role in this
construction. We then consider these solitons within the holographic
``complexity equals action'' and ``complexity equals volume'' conjectures as
simple examples of spacetimes with nontrivial rotation and topology. We find
distinct behaviours for the volume and action, with the counterterm for null
boundaries playing a significant role in the latter case. For large solitons we
find that both proposals yield a complexity of formation proportional to a
power of the thermodynamic volume, $V^{3/4}$. In fact, up to numerical
prefactors, the result coincides with the analogous one for large black holes.
|
[
{
"created": "Mon, 16 Dec 2019 19:04:54 GMT",
"version": "v1"
}
] |
2020-10-28
|
[
[
"Andrews",
"Shane",
""
],
[
"Hennigar",
"Robie A.",
""
],
[
"Kunduri",
"Hari K.",
""
]
] |
Minimal $D=5$ supergravity admits asymptotically globally AdS$_5$ gravitational solitons (strictly stationary, geodesically complete spacetimes with positive mass). We show that, like asymptotically flat gravitational solitons, these solutions satisfy mass and mass variation formulas analogous to those satisfied by AdS black holes. A thermodynamic volume associated to the non-trivial topology of the spacetime plays an important role in this construction. We then consider these solitons within the holographic ``complexity equals action'' and ``complexity equals volume'' conjectures as simple examples of spacetimes with nontrivial rotation and topology. We find distinct behaviours for the volume and action, with the counterterm for null boundaries playing a significant role in the latter case. For large solitons we find that both proposals yield a complexity of formation proportional to a power of the thermodynamic volume, $V^{3/4}$. In fact, up to numerical prefactors, the result coincides with the analogous one for large black holes.
| 9.779548
| 8.648648
| 10.146585
| 8.620757
| 8.532988
| 9.082336
| 8.369864
| 8.816118
| 9.135771
| 11.483282
| 9.041959
| 9.008197
| 10.117607
| 9.244313
| 9.525508
| 9.203569
| 9.273193
| 9.104817
| 9.154539
| 9.642595
| 9.047175
|
2001.05501
|
Jonah Kudler-Flam
|
Jonah Kudler-Flam, Yuya Kusuki, Shinsei Ryu
|
Correlation measures and the entanglement wedge cross-section after
quantum quenches in two-dimensional conformal field theories
|
48 pages
|
JHEP04(2020)075=4
|
10.1007/JHEP04(2020)074
|
YITP-20-05
|
hep-th cond-mat.stat-mech cond-mat.str-el quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the time evolution of mixed state correlation measures in
two-dimensional conformal field theories, such as logarithmic negativity, odd
entropy, and reflected entropy, after quantum quenches of various kinds. These
correlation measures, in the holographic context, are all associated to the
entanglement wedge cross section. We contrast various classes of conformal
field theories, both rational and irrational (pure) conformal field theories.
First, for rational conformal field theories, whose dynamics can be well
described by the quasi-particle picture, we find all four quantities for
disjoint intervals to be proportional, regardless of the specific quench
protocol. Second, using the light cone bootstrap, we generalize our results to
irrational conformal field theories where we find sharp distinctions from the
quasi-particle results and striking differences between mutual information and
the other measures. The large surplus of logarithmic negativity relative to
mutual information forces us to reconsider what mutual information and
logarithmic negativity really measure. We interpret these results as a
signature of information scrambling and chaos in irrational theories. These CFT
results perfectly agree with our gravitational (holographic) calculations.
Furthermore, using holography, we are able to generalize the results to outside
of the light cone limit. Finally, due to the breakdown of the quasi-particle
picture for irrational theories, we appeal to the "line-tension picture,"
motivated by random unitary circuits, as a phenomenological description. We
observe that random unitary circuits, with local Hilbert space dimension
determined by the Cardy formula, have precisely the same entanglement dynamics
as irrational (including holographic) conformal field theories.
|
[
{
"created": "Wed, 15 Jan 2020 19:00:01 GMT",
"version": "v1"
}
] |
2020-04-20
|
[
[
"Kudler-Flam",
"Jonah",
""
],
[
"Kusuki",
"Yuya",
""
],
[
"Ryu",
"Shinsei",
""
]
] |
We consider the time evolution of mixed state correlation measures in two-dimensional conformal field theories, such as logarithmic negativity, odd entropy, and reflected entropy, after quantum quenches of various kinds. These correlation measures, in the holographic context, are all associated to the entanglement wedge cross section. We contrast various classes of conformal field theories, both rational and irrational (pure) conformal field theories. First, for rational conformal field theories, whose dynamics can be well described by the quasi-particle picture, we find all four quantities for disjoint intervals to be proportional, regardless of the specific quench protocol. Second, using the light cone bootstrap, we generalize our results to irrational conformal field theories where we find sharp distinctions from the quasi-particle results and striking differences between mutual information and the other measures. The large surplus of logarithmic negativity relative to mutual information forces us to reconsider what mutual information and logarithmic negativity really measure. We interpret these results as a signature of information scrambling and chaos in irrational theories. These CFT results perfectly agree with our gravitational (holographic) calculations. Furthermore, using holography, we are able to generalize the results to outside of the light cone limit. Finally, due to the breakdown of the quasi-particle picture for irrational theories, we appeal to the "line-tension picture," motivated by random unitary circuits, as a phenomenological description. We observe that random unitary circuits, with local Hilbert space dimension determined by the Cardy formula, have precisely the same entanglement dynamics as irrational (including holographic) conformal field theories.
| 9.627589
| 9.210473
| 11.535836
| 9.298194
| 9.46576
| 9.361411
| 9.3898
| 9.323928
| 9.16181
| 12.423702
| 8.908132
| 9.086534
| 10.117267
| 9.393896
| 9.339481
| 9.100245
| 8.924966
| 9.045346
| 9.150031
| 9.841383
| 9.155035
|
0908.0336
|
Babak Haghighat BH
|
Babak Haghighat, Albrecht Klemm
|
Solving the Topological String on K3 Fibrations
|
60 pages, 1 figure, With an appendix by Sheldon Katz
|
JHEP 1001:009,2010
|
10.1007/JHEP01(2010)009
|
BONN-TH-2009-05
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present solutions of the holomorphic anomaly equations for compact
two-parameter Calabi-Yau manifolds which are hypersurfaces in weighted
projective space. In particular we focus on K3-fibrations where due to
heterotic type II duality the topological invariants in the fibre direction are
encoded in certain modular forms. The formalism employed provides holomorphic
expansions of topological string amplitudes everywhere in moduli space.
|
[
{
"created": "Tue, 4 Aug 2009 17:52:01 GMT",
"version": "v1"
}
] |
2010-01-22
|
[
[
"Haghighat",
"Babak",
""
],
[
"Klemm",
"Albrecht",
""
]
] |
We present solutions of the holomorphic anomaly equations for compact two-parameter Calabi-Yau manifolds which are hypersurfaces in weighted projective space. In particular we focus on K3-fibrations where due to heterotic type II duality the topological invariants in the fibre direction are encoded in certain modular forms. The formalism employed provides holomorphic expansions of topological string amplitudes everywhere in moduli space.
| 9.205554
| 7.448321
| 11.731015
| 8.529278
| 8.042182
| 9.030735
| 8.088616
| 8.116882
| 8.193765
| 12.218156
| 8.622578
| 8.432174
| 9.9007
| 8.489226
| 8.710102
| 8.434554
| 8.753033
| 8.627495
| 8.374084
| 9.305668
| 8.348659
|
1305.1947
|
Sebastian C. Kraus
|
Arthur Hebecker, Sebastian C. Kraus and Alexander Westphal
|
Evading the Lyth Bound in Hybrid Natural Inflation
|
LaTeX, RevTeX 4.1, 7 pages; v3: note on curvaton added, refs added
|
Phys. Rev. D 88, 123506 (2013)
|
10.1103/PhysRevD.88.123506
|
DESY-13-076, NSF-KITP-13-084
|
hep-th astro-ph.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Generically, the gravitational-wave or tensor-mode contribution to the
primordial curvature spectrum of inflation is tiny if the field-range of the
inflaton is much smaller than the Planck scale. We show that this pessimistic
conclusion is naturally avoided in a rather broad class of small-field models.
More specifically, we consider models where an axion-like shift symmetry keeps
the inflaton potential flat (up to non-perturbative cosine-shaped modulations),
but inflation nevertheless ends in a waterfall-regime, as is typical for hybrid
inflation. In such hybrid natural inflation scenarios (examples are provided by
Wilson line inflation and fluxbrane inflation), the slow-roll parameter
$\epsilon$ can be sizable during an early period (relevant for the CMB
spectrum). Subsequently, $\epsilon$ quickly becomes very small before the
tachyonic instability eventually terminates the slow roll regime. In this
scenario, one naturally generates a considerable tensor-mode contribution in
the curvature spectrum, collecting nevertheless the required amount of
e-foldings during the final period of inflation. While non-observation of
tensors by Planck is certainly not a problem, a discovery in the medium to long
term future is realistic.
|
[
{
"created": "Wed, 8 May 2013 20:15:27 GMT",
"version": "v1"
},
{
"created": "Mon, 27 May 2013 15:36:09 GMT",
"version": "v2"
},
{
"created": "Tue, 14 Jan 2014 14:12:08 GMT",
"version": "v3"
}
] |
2014-01-15
|
[
[
"Hebecker",
"Arthur",
""
],
[
"Kraus",
"Sebastian C.",
""
],
[
"Westphal",
"Alexander",
""
]
] |
Generically, the gravitational-wave or tensor-mode contribution to the primordial curvature spectrum of inflation is tiny if the field-range of the inflaton is much smaller than the Planck scale. We show that this pessimistic conclusion is naturally avoided in a rather broad class of small-field models. More specifically, we consider models where an axion-like shift symmetry keeps the inflaton potential flat (up to non-perturbative cosine-shaped modulations), but inflation nevertheless ends in a waterfall-regime, as is typical for hybrid inflation. In such hybrid natural inflation scenarios (examples are provided by Wilson line inflation and fluxbrane inflation), the slow-roll parameter $\epsilon$ can be sizable during an early period (relevant for the CMB spectrum). Subsequently, $\epsilon$ quickly becomes very small before the tachyonic instability eventually terminates the slow roll regime. In this scenario, one naturally generates a considerable tensor-mode contribution in the curvature spectrum, collecting nevertheless the required amount of e-foldings during the final period of inflation. While non-observation of tensors by Planck is certainly not a problem, a discovery in the medium to long term future is realistic.
| 11.504272
| 12.825826
| 12.406593
| 11.804253
| 13.063413
| 12.386877
| 12.03409
| 12.944727
| 11.598956
| 14.030539
| 12.102993
| 11.651499
| 11.181433
| 11.257559
| 11.538973
| 11.505346
| 11.899889
| 11.240852
| 11.33707
| 11.634432
| 11.669049
|
hep-th/0402101
|
Michael Dine
|
Michael Dine
|
Is There a String Theory Landscape: Some Cautionary Notes
|
Talk presented at QTS3 and at the KITP. Problems related to tex
macros fixed (question marks appeared for some references)
| null |
10.1142/9789812702340_0056
|
scipp-03/12
|
hep-th hep-ph
| null |
There is evidence that string theory possesses a large discretuum of stable
and/or metastable ground states, with zero or four supersymmetries in four
dimensions. I discuss critically the nature of this evidence. Assuming this
"landscape" exists, anthropic explanations of some quantities are almost
inevitable. I explain that this landscape is likely to lead to a prediction of
low energy supersymmetry. But we argue that many features of low energy physics
are not anthropic and, as currently understood, the landscape picture will get
them wrong. This indicates that this viewpoint is potentially falsifiable.
Moreover, if it is correct, many questions must be answered through more
conventional scientific explanations. This is based on talks presented at the
conference QTS3 at the University of Cincinnati and at the ITP in 2003.
|
[
{
"created": "Fri, 13 Feb 2004 06:45:15 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Feb 2004 05:07:57 GMT",
"version": "v2"
}
] |
2017-08-23
|
[
[
"Dine",
"Michael",
""
]
] |
There is evidence that string theory possesses a large discretuum of stable and/or metastable ground states, with zero or four supersymmetries in four dimensions. I discuss critically the nature of this evidence. Assuming this "landscape" exists, anthropic explanations of some quantities are almost inevitable. I explain that this landscape is likely to lead to a prediction of low energy supersymmetry. But we argue that many features of low energy physics are not anthropic and, as currently understood, the landscape picture will get them wrong. This indicates that this viewpoint is potentially falsifiable. Moreover, if it is correct, many questions must be answered through more conventional scientific explanations. This is based on talks presented at the conference QTS3 at the University of Cincinnati and at the ITP in 2003.
| 17.374306
| 18.099297
| 19.209335
| 16.353634
| 18.800741
| 17.55772
| 17.44272
| 16.336353
| 16.383324
| 19.99725
| 16.278849
| 15.7172
| 17.690048
| 16.882591
| 16.934805
| 16.536888
| 16.652662
| 16.202583
| 16.768831
| 17.315653
| 16.531416
|
2202.08298
|
Jeffrey Kuntz
|
Jisuke Kubo, Jeffrey Kuntz
|
Analysis of Unitarity in Conformal Quantum Gravity
|
v2: 31+11 pages, discussion changed and references added
|
Class. Quantum Grav. 39 175010 (2022)
|
10.1088/1361-6382/ac8199
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We perform a canonical quantization of Weyl's conformal gravity by means of
the covariant operator formalism and investigate the unitarity of the resulting
quantum theory. After reducing the originally fourth order theory to second
order in time derivatives via the introduction of an auxiliary tensor field, we
identify the full Fock space of quantum states under a BRST construction that
includes Faddeev-Popov ghost fields corresponding to Weyl transformations.
Using the Kugo-Ojima quartet mechanism, we identify the physical subspace of
quantum states and find that the subspace containing the transverse spin-2
states comes equipped with an indefinite inner product metric and a
one-particle Hamiltonian that possesses only a single eigenstate. We construct
the LSZ reduction formula for the S-matrix in this spin-2 subspace and find
that unitarity is violated in scattering events. The explicit way in which this
violation occurs represents a new view on the ghost-problem in quadratic
theories of quantum gravity.
|
[
{
"created": "Wed, 16 Feb 2022 19:09:28 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Apr 2022 09:01:32 GMT",
"version": "v2"
}
] |
2022-09-14
|
[
[
"Kubo",
"Jisuke",
""
],
[
"Kuntz",
"Jeffrey",
""
]
] |
We perform a canonical quantization of Weyl's conformal gravity by means of the covariant operator formalism and investigate the unitarity of the resulting quantum theory. After reducing the originally fourth order theory to second order in time derivatives via the introduction of an auxiliary tensor field, we identify the full Fock space of quantum states under a BRST construction that includes Faddeev-Popov ghost fields corresponding to Weyl transformations. Using the Kugo-Ojima quartet mechanism, we identify the physical subspace of quantum states and find that the subspace containing the transverse spin-2 states comes equipped with an indefinite inner product metric and a one-particle Hamiltonian that possesses only a single eigenstate. We construct the LSZ reduction formula for the S-matrix in this spin-2 subspace and find that unitarity is violated in scattering events. The explicit way in which this violation occurs represents a new view on the ghost-problem in quadratic theories of quantum gravity.
| 8.857049
| 9.142433
| 9.599993
| 8.698448
| 9.790359
| 10.020088
| 9.136583
| 9.218013
| 8.701439
| 10.464817
| 9.113161
| 8.439943
| 8.54302
| 8.507854
| 8.996346
| 8.832627
| 8.88833
| 8.990993
| 8.614483
| 8.736154
| 8.385919
|
1302.1135
|
S\'ebastien Leurent
|
S\'ebastien Leurent, Dmytro Volin
|
Multiple zeta functions and double wrapping in planar N=4 SYM
|
49 pages. Available online Mathematica packages contain routines for
working with multiple Hurwitz zeta functions and weak coupling expansion of
the FiNLIE, they are an important part of the article. The article has
interactive symbols "#" (they work in pdf-viewers that support JavaScript);
v2: terminology is made more precise, references added; v3: published version
|
Nuclear Physics B (2013), Volume 875, Isuue 3, Pages 757-789
|
10.1016/j.nuclphysb.2013.07.020
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using the FiNLIE solution of the AdS/CFT Y-system, we compute the anomalous
dimension of the Konishi operator in planar N=4 SYM up to eight loops, i.e. up
to the leading double wrapping order. At this order a non reducible
Euler-Zagier sum, zeta(1,2,8), appears for the first time. We find that at all
orders in perturbation, every spectral-dependent quantity of the Y-system is
expressed through multiple Hurwitz zeta functions, hence we provide a
Mathematica package to manipulate these functions, including the particular
case of Euler-Zagier sums. Furthermore, we conjecture that only Euler-Zagier
sums can appear in the answer for the anomalous dimension at any order in
perturbation theory.
We also resum the leading transcendentality terms of the anomalous dimension
at all orders, obtaining a simple result in terms of Bessel functions. Finally,
we demonstrate that exact Bethe equations should be related to an absence of
poles condition that becomes especially nontrivial at double wrapping.
|
[
{
"created": "Tue, 5 Feb 2013 18:00:17 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Feb 2013 14:43:35 GMT",
"version": "v2"
},
{
"created": "Wed, 25 Sep 2013 08:38:54 GMT",
"version": "v3"
}
] |
2014-04-17
|
[
[
"Leurent",
"Sébastien",
""
],
[
"Volin",
"Dmytro",
""
]
] |
Using the FiNLIE solution of the AdS/CFT Y-system, we compute the anomalous dimension of the Konishi operator in planar N=4 SYM up to eight loops, i.e. up to the leading double wrapping order. At this order a non reducible Euler-Zagier sum, zeta(1,2,8), appears for the first time. We find that at all orders in perturbation, every spectral-dependent quantity of the Y-system is expressed through multiple Hurwitz zeta functions, hence we provide a Mathematica package to manipulate these functions, including the particular case of Euler-Zagier sums. Furthermore, we conjecture that only Euler-Zagier sums can appear in the answer for the anomalous dimension at any order in perturbation theory. We also resum the leading transcendentality terms of the anomalous dimension at all orders, obtaining a simple result in terms of Bessel functions. Finally, we demonstrate that exact Bethe equations should be related to an absence of poles condition that becomes especially nontrivial at double wrapping.
| 8.515436
| 8.428216
| 10.537875
| 8.285747
| 9.341074
| 9.376907
| 8.556803
| 9.119154
| 7.898362
| 10.888615
| 8.480944
| 7.969795
| 8.747873
| 8.097129
| 7.719697
| 8.152463
| 7.834169
| 8.158509
| 7.823761
| 8.930659
| 8.080987
|
hep-th/9909009
|
Marek Pawlowski
|
M. Pawlowski, V. N. Pervushin, V. I. Smirichinski
|
Invariant Hamiltonian Quantization of General Relativity
|
16 pages, latex, no figures
| null | null |
JINR-E2-99232
|
hep-th
| null |
The quantization of General Relativity invariant with respect to
time-reparametrizations is considered. We construct the Faddeev-Popov
generating functional for the unitary perturbation theory in terms of
invariants of the kinemetric group of diffeomorphisms of a frame of reference
as a set of Einstein's observers with the equivalent Hamiltonian description
($t'=t'(t)$, $x'^i=x'^i(t,x^1,x^2,x^3)$). The algebra of the kinemetric group
has other dimensions than the constraint algebra in the conventional
Dirac-Faddeev-Popov (DFP) approach to quantization. To restore the
reparametrization invariance broken in the DFP approach, the invariant dynamic
evolution parameter is introduced as the zero Fourier harmonic of the space
metric determinant. The unconstrained version of the reparametrization
invariant GR is obtained. We research the infinite space-time limit of the
Faddeev-Popov generating functional in the theory and discuss physical
consequences of the considered quantization.
|
[
{
"created": "Thu, 2 Sep 1999 12:11:16 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Pawlowski",
"M.",
""
],
[
"Pervushin",
"V. N.",
""
],
[
"Smirichinski",
"V. I.",
""
]
] |
The quantization of General Relativity invariant with respect to time-reparametrizations is considered. We construct the Faddeev-Popov generating functional for the unitary perturbation theory in terms of invariants of the kinemetric group of diffeomorphisms of a frame of reference as a set of Einstein's observers with the equivalent Hamiltonian description ($t'=t'(t)$, $x'^i=x'^i(t,x^1,x^2,x^3)$). The algebra of the kinemetric group has other dimensions than the constraint algebra in the conventional Dirac-Faddeev-Popov (DFP) approach to quantization. To restore the reparametrization invariance broken in the DFP approach, the invariant dynamic evolution parameter is introduced as the zero Fourier harmonic of the space metric determinant. The unconstrained version of the reparametrization invariant GR is obtained. We research the infinite space-time limit of the Faddeev-Popov generating functional in the theory and discuss physical consequences of the considered quantization.
| 10.385695
| 10.44089
| 10.588829
| 9.523119
| 11.106444
| 9.791755
| 11.150435
| 9.795569
| 9.577589
| 11.758
| 10.374845
| 10.226171
| 10.596547
| 9.988604
| 10.039665
| 10.12242
| 10.333655
| 10.099505
| 10.38404
| 10.473197
| 10.12741
|
hep-th/9504056
|
Bgato
|
Beatriz Gato-Rivera and Jose Ignacio Rosado
|
Spectral Flows and Twisted Topological Theories
|
The presentation of the results has been very much improved. Some
references have been added
|
Phys.Lett.B369:7-15,1996
|
10.1016/0370-2693(95)01507-8
| null |
hep-th
| null |
We analyze the action of the spectral flows on N=2 twisted topological
theories. We show that they provide a useful mapping between the two twisted
topological theories associated to a given N=2 superconformal theory. This
mapping can also be viewed as a topological algebra automorphism. In particular
null vectors are mapped into null vectors, considerably simplifying their
computation. We give the level 2 results. Finally we discuss the spectral flow
mapping in the case of the DDK and KM realizations of the topological algebra.
|
[
{
"created": "Mon, 10 Apr 1995 15:08:42 GMT",
"version": "v1"
},
{
"created": "Sun, 19 Nov 1995 17:14:29 GMT",
"version": "v2"
}
] |
2011-07-19
|
[
[
"Gato-Rivera",
"Beatriz",
""
],
[
"Rosado",
"Jose Ignacio",
""
]
] |
We analyze the action of the spectral flows on N=2 twisted topological theories. We show that they provide a useful mapping between the two twisted topological theories associated to a given N=2 superconformal theory. This mapping can also be viewed as a topological algebra automorphism. In particular null vectors are mapped into null vectors, considerably simplifying their computation. We give the level 2 results. Finally we discuss the spectral flow mapping in the case of the DDK and KM realizations of the topological algebra.
| 12.619922
| 10.41302
| 14.701239
| 10.059376
| 10.526081
| 10.858796
| 10.492056
| 9.955999
| 9.906302
| 14.941251
| 10.399473
| 10.877883
| 12.704517
| 10.818172
| 10.629155
| 10.817916
| 11.174901
| 10.968519
| 11.123195
| 11.571614
| 10.784418
|
0707.3702
|
Christian Romelsberger
|
Christian Romelsberger
|
Calculating the Superconformal Index and Seiberg Duality
|
25 pages
| null | null | null |
hep-th
| null |
We develop techniques to calculate an index for four dimensional
superconformal field theories. This superconformal index is counting BPS
operators which preserve only one supercharge. To calculate the superconformal
index we quantize the field theory on S^3 X R and show that the twisted theory
has an appropriate mass gap. This allows for the interactions to be switched
off continuously without the superconformal index being changed. We test those
techniques for theories which go through a non-trivial RG flow and for Seiberg
dual theories. This leads to the conjecture of some group/number theoretical
identities.
|
[
{
"created": "Wed, 25 Jul 2007 18:18:26 GMT",
"version": "v1"
}
] |
2007-07-26
|
[
[
"Romelsberger",
"Christian",
""
]
] |
We develop techniques to calculate an index for four dimensional superconformal field theories. This superconformal index is counting BPS operators which preserve only one supercharge. To calculate the superconformal index we quantize the field theory on S^3 X R and show that the twisted theory has an appropriate mass gap. This allows for the interactions to be switched off continuously without the superconformal index being changed. We test those techniques for theories which go through a non-trivial RG flow and for Seiberg dual theories. This leads to the conjecture of some group/number theoretical identities.
| 12.727674
| 12.901394
| 13.718285
| 11.295922
| 12.205566
| 11.672973
| 12.068603
| 11.89065
| 11.773108
| 14.487838
| 11.772441
| 11.25464
| 11.624811
| 11.202171
| 11.124457
| 11.098376
| 11.577586
| 11.687227
| 11.210705
| 12.264035
| 11.089933
|
1904.09968
|
Alex Buchel
|
Alex Buchel
|
Entanglement entropy of ${\cal N}=2^*$ de Sitter vacuum
|
38 pages, 8 figures; v2: published version
| null |
10.1016/j.nuclphysb.2019.114769
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
de Sitter vacuum of nonconformal gauge theories is non-equilibrium,
manifested by a nonvanishing rate of the comoving entropy production at
asymptotically late times. This entropy production rate is related to the
entanglement entropy of the de Sitter vacuum of the theory. We use holographic
correspondence to compute vacuum entanglement entropy density $s_{ent}$ of mass
deformed ${\cal N}=4$ supersymmetric Yang-Mills theory - the ${\cal N}=2^*$
gauge theory - for various values of the masses and the coupling constant to
the background space-time curvature. For a particular choice of the curvature
coupling, the Euclidean model can be solved exactly using the supersymmetric
localization. We show that ${\cal N}=2^*$ de Sitter entanglement entropy is not
the thermodynamic entropy of the localization free energy at de Sitter
temperature. Neither it is related to the thermal entropy of de Sitter vacuum
of pair-produced particles.
|
[
{
"created": "Mon, 22 Apr 2019 17:38:54 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Sep 2019 14:19:38 GMT",
"version": "v2"
}
] |
2019-10-23
|
[
[
"Buchel",
"Alex",
""
]
] |
de Sitter vacuum of nonconformal gauge theories is non-equilibrium, manifested by a nonvanishing rate of the comoving entropy production at asymptotically late times. This entropy production rate is related to the entanglement entropy of the de Sitter vacuum of the theory. We use holographic correspondence to compute vacuum entanglement entropy density $s_{ent}$ of mass deformed ${\cal N}=4$ supersymmetric Yang-Mills theory - the ${\cal N}=2^*$ gauge theory - for various values of the masses and the coupling constant to the background space-time curvature. For a particular choice of the curvature coupling, the Euclidean model can be solved exactly using the supersymmetric localization. We show that ${\cal N}=2^*$ de Sitter entanglement entropy is not the thermodynamic entropy of the localization free energy at de Sitter temperature. Neither it is related to the thermal entropy of de Sitter vacuum of pair-produced particles.
| 7.914163
| 7.384216
| 8.595688
| 7.157116
| 7.694132
| 7.771923
| 7.856822
| 7.232348
| 7.546147
| 9.628242
| 7.226195
| 7.148633
| 7.415167
| 7.158377
| 7.056796
| 7.117789
| 7.210183
| 6.941587
| 7.187862
| 7.660186
| 7.07757
|
1802.09571
|
Ferenc Niedermayer
|
Ferenc Niedermayer, Peter Weisz
|
Finite volume mass gap and free energy of the SU(N)xSU(N) chiral sigma
model
|
28 pages
|
Prog Theor Exp Phys (2018)
|
10.1093/ptep/pty103
|
MPP-2017-63
|
hep-th hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the free energy in the presence of a chemical potential coupled to
a conserved charge in the effective SU(N)xSU(N) scalar field theory to third
order for asymmetric volumes in general d-dimensions, using dimensional
regularization. We also compute the mass gap in a finite box with periodic
boundary conditions.
|
[
{
"created": "Mon, 26 Feb 2018 19:50:44 GMT",
"version": "v1"
}
] |
2019-12-06
|
[
[
"Niedermayer",
"Ferenc",
""
],
[
"Weisz",
"Peter",
""
]
] |
We compute the free energy in the presence of a chemical potential coupled to a conserved charge in the effective SU(N)xSU(N) scalar field theory to third order for asymmetric volumes in general d-dimensions, using dimensional regularization. We also compute the mass gap in a finite box with periodic boundary conditions.
| 13.87276
| 11.780503
| 12.184696
| 10.186657
| 12.949645
| 10.569922
| 11.547025
| 10.900723
| 10.551017
| 11.463614
| 12.127317
| 11.434374
| 11.674553
| 11.610328
| 11.220501
| 11.319536
| 11.653233
| 11.208987
| 11.039155
| 12.236583
| 10.757633
|
0805.3879
|
Kazuo Fujikawa
|
Kazuo Fujikawa
|
Non-hermitian radial momentum operator and path integrals in polar
coordinates
|
A comment on the difference of the hermitian radial momentum operator
in the present context of path integrals and in the conventional operator
Schroedinger problem is added. To be published in Prog. Theor. Phys.. 17
pages
|
Prog.Theor.Phys.120:181-195,2008
|
10.1143/PTP.120.181
| null |
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A salient feature of the Schr\"{o}dinger equation is that the classical
radial momentum term $p_{r}^{2}$ in polar coordinates is replaced by the
operator $\hat{P}^{\dagger}_{r} \hat{P}_{r}$, where the operator $\hat{P}_{r}$
is not hermitian in general. This fact has important implications for the path
integral and semi-classical approximations. When one defines a formal hermitian
radial momentum operator $\hat{p}_{r}=(1/2)((\frac{\hat{\vec{x}}}{r})
\hat{\vec{p}}+\hat{\vec{p}}(\frac{\hat{\vec{x}}}{r}))$, the relation
$\hat{P}^{\dagger}_{r}
\hat{P}_{r}=\hat{p}_{r}^{2}+\hbar^{2}(d-1)(d-3)/(4r^{2})$ holds in
$d$-dimensional space and this extra potential appears in the path integral
formulated in polar coordinates. The extra potential, which influences the
classical solutions in the semi-classical treatment such as in the analysis of
solitons and collective modes, vanishes for $d=3$ and attractive for $d=2$ and
repulsive for all other cases $d\geq 4$. This extra term induced by the
non-hermitian operator is a purely quantum effect, and it is somewhat analogous
to the quantum anomaly in chiral gauge theory.
|
[
{
"created": "Mon, 26 May 2008 06:19:21 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Jul 2008 09:29:26 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Fujikawa",
"Kazuo",
""
]
] |
A salient feature of the Schr\"{o}dinger equation is that the classical radial momentum term $p_{r}^{2}$ in polar coordinates is replaced by the operator $\hat{P}^{\dagger}_{r} \hat{P}_{r}$, where the operator $\hat{P}_{r}$ is not hermitian in general. This fact has important implications for the path integral and semi-classical approximations. When one defines a formal hermitian radial momentum operator $\hat{p}_{r}=(1/2)((\frac{\hat{\vec{x}}}{r}) \hat{\vec{p}}+\hat{\vec{p}}(\frac{\hat{\vec{x}}}{r}))$, the relation $\hat{P}^{\dagger}_{r} \hat{P}_{r}=\hat{p}_{r}^{2}+\hbar^{2}(d-1)(d-3)/(4r^{2})$ holds in $d$-dimensional space and this extra potential appears in the path integral formulated in polar coordinates. The extra potential, which influences the classical solutions in the semi-classical treatment such as in the analysis of solitons and collective modes, vanishes for $d=3$ and attractive for $d=2$ and repulsive for all other cases $d\geq 4$. This extra term induced by the non-hermitian operator is a purely quantum effect, and it is somewhat analogous to the quantum anomaly in chiral gauge theory.
| 4.813237
| 5.240724
| 5.063195
| 4.762858
| 5.299036
| 5.554821
| 5.186416
| 5.266941
| 4.741715
| 5.299814
| 4.893691
| 4.596832
| 4.684391
| 4.612289
| 4.724342
| 4.709504
| 4.667345
| 4.700922
| 4.672701
| 4.70075
| 4.630681
|
hep-th/9209079
| null |
Alexander Turbiner
|
Lie-algebraic approach to the theory of polynomial solutions. I.
Ordinary differential equations and finite-difference equations in one
variable
|
19pp
| null | null |
CPT-92/P.2679
|
hep-th alg-geom funct-an math.AG math.FA
| null |
A classification of ordinary differential equations and finite-difference
equations in one variable having polynomial solutions (the generalized Bochner
problem) is given. The method used is based on the spectral problem for a
polynomial element of the universal enveloping algebra of $sl_2({\bf R})$ (for
differential equations) or $sl_2({\bf R})_q$ (for finite-difference equations)
in the "projectivized" representation possessing an invariant subspace.
Connection to the recently-discovered quasi-exactly-solvable problems is
discussed.
|
[
{
"created": "Tue, 22 Sep 1992 14:39:12 GMT",
"version": "v1"
}
] |
2008-02-03
|
[
[
"Turbiner",
"Alexander",
""
]
] |
A classification of ordinary differential equations and finite-difference equations in one variable having polynomial solutions (the generalized Bochner problem) is given. The method used is based on the spectral problem for a polynomial element of the universal enveloping algebra of $sl_2({\bf R})$ (for differential equations) or $sl_2({\bf R})_q$ (for finite-difference equations) in the "projectivized" representation possessing an invariant subspace. Connection to the recently-discovered quasi-exactly-solvable problems is discussed.
| 9.799882
| 7.619085
| 10.174654
| 7.041565
| 8.467762
| 8.837416
| 7.70611
| 7.805759
| 7.689375
| 10.904034
| 7.652297
| 8.168897
| 8.983149
| 7.873829
| 8.241076
| 7.973258
| 8.067685
| 7.984419
| 8.029479
| 8.97075
| 8.029335
|
2006.14041
|
Ali Zahabi
|
Ali Zahabi
|
Quiver Asymptotics and Amoeba: Instantons on Toric Divisors of
Calabi-Yau Threefolds
|
30 pages, 8 figures
|
Phys. Rev. D 103, 086024 (2021)
|
10.1103/PhysRevD.103.086024
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The BPS bound states of D4-D2-D0 branes on the non-compact divisors of
Calabi-Yau threefolds and the instantons in the dual quiver gauge theories are
previously studied using two-dimensional crystal melting model and dimer model.
Using the tropical geometry associated with the toric quiver, we study the
asymptotic of the quiver gauge theory to compute some of their thermodynamic
observables and extract the phase structure. We obtain that the thermodynamic
observables such as free energy, entropy and growth rate are explicitly
obtained from the limit shape of the crystal model, the boundary of the Amoeba
and its Harnack curve characterization. Furthermore, we observe that there is a
Hagedorn phase transition in the instanton sector inferred from the Gumbel
distribution of the fluctuations in the crystal model. We present explicit
computations of the results in some concrete examples of $\mathbb{C}^3$,
conifold, local $\mathbb{P}^1\times \mathbb{P}^1$ and local $\mathbb{P}^2$
quivers.
|
[
{
"created": "Wed, 24 Jun 2020 20:51:06 GMT",
"version": "v1"
}
] |
2021-05-05
|
[
[
"Zahabi",
"Ali",
""
]
] |
The BPS bound states of D4-D2-D0 branes on the non-compact divisors of Calabi-Yau threefolds and the instantons in the dual quiver gauge theories are previously studied using two-dimensional crystal melting model and dimer model. Using the tropical geometry associated with the toric quiver, we study the asymptotic of the quiver gauge theory to compute some of their thermodynamic observables and extract the phase structure. We obtain that the thermodynamic observables such as free energy, entropy and growth rate are explicitly obtained from the limit shape of the crystal model, the boundary of the Amoeba and its Harnack curve characterization. Furthermore, we observe that there is a Hagedorn phase transition in the instanton sector inferred from the Gumbel distribution of the fluctuations in the crystal model. We present explicit computations of the results in some concrete examples of $\mathbb{C}^3$, conifold, local $\mathbb{P}^1\times \mathbb{P}^1$ and local $\mathbb{P}^2$ quivers.
| 8.949029
| 8.141319
| 9.839948
| 8.246946
| 8.500675
| 8.094743
| 8.586919
| 7.949272
| 8.079276
| 11.558285
| 7.705836
| 8.09669
| 9.126714
| 8.146365
| 8.310704
| 8.324163
| 8.253936
| 8.254735
| 8.149158
| 9.098275
| 8.09082
|
hep-th/0509070
|
John R. Hiller
|
J.R. Hiller
|
Numerical evidence for the Maldacena conjecture in two-dimensional
N=(8,8) super Yang-Mills theory
|
6 pages, 3 figures; requires espcrc2.sty; to appear in the
proceedings of the Workshop on Light-Cone QCD and Nonperturbative Hadron
Physics, Cairns, Australia, July 7-15, 2005
| null |
10.1016/j.nuclphysbps.2006.08.009
|
UMN-D-05-3
|
hep-th
| null |
The N=(8,8) super Yang-Mills theory in 1+1 dimensions is solved at strong
coupling to directly confirm the predictions of supergravity at weak coupling.
The calculations are done in the large-N_c approximation using Supersymmetric
Discrete Light-Cone Quantization. The stress-energy correlator is obtained as a
function of the separation r; for intermediate values of r, the correlator
behaves in a manner consistent with the 1/r^5 behavior predicted by
weak-coupling supergravity.
|
[
{
"created": "Fri, 9 Sep 2005 17:42:19 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Hiller",
"J. R.",
""
]
] |
The N=(8,8) super Yang-Mills theory in 1+1 dimensions is solved at strong coupling to directly confirm the predictions of supergravity at weak coupling. The calculations are done in the large-N_c approximation using Supersymmetric Discrete Light-Cone Quantization. The stress-energy correlator is obtained as a function of the separation r; for intermediate values of r, the correlator behaves in a manner consistent with the 1/r^5 behavior predicted by weak-coupling supergravity.
| 9.334746
| 5.837064
| 7.908685
| 6.769066
| 6.603321
| 6.671276
| 6.636879
| 6.980941
| 7.229629
| 9.90944
| 7.071723
| 7.7624
| 8.212974
| 8.288056
| 8.030746
| 7.728853
| 7.855841
| 8.003707
| 8.247341
| 8.814734
| 8.06685
|
1310.6069
|
Kate Eckerle
|
Pontus Ahlqvist, Kate Eckerle, Brian Greene
|
Bubble Universe Dynamics After Free Passage
|
21pages, 8 figures, Revised version modified to include
Acknowledgements section
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider bubble collisions in single scalar field theories with multiple
vacua. Recent work has argued that at sufficiently high impact velocities,
collisions between such bubble vacua are governed by 'free passage' dynamics in
which field interactions can be ignored during the collision, providing a
systematic process for populating local minima without quantum nucleation. We
focus on the time period that follows the bubble collision and provide evidence
that, for certain potentials, interactions can drive significant deviations
from the free-passage bubble profile, thwarting the production of bubbles with
different field values.
|
[
{
"created": "Tue, 22 Oct 2013 22:00:23 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Dec 2014 17:55:25 GMT",
"version": "v2"
}
] |
2014-12-30
|
[
[
"Ahlqvist",
"Pontus",
""
],
[
"Eckerle",
"Kate",
""
],
[
"Greene",
"Brian",
""
]
] |
We consider bubble collisions in single scalar field theories with multiple vacua. Recent work has argued that at sufficiently high impact velocities, collisions between such bubble vacua are governed by 'free passage' dynamics in which field interactions can be ignored during the collision, providing a systematic process for populating local minima without quantum nucleation. We focus on the time period that follows the bubble collision and provide evidence that, for certain potentials, interactions can drive significant deviations from the free-passage bubble profile, thwarting the production of bubbles with different field values.
| 20.179834
| 19.403286
| 18.8248
| 17.550669
| 21.983118
| 21.998554
| 21.51576
| 19.554657
| 19.47061
| 21.187498
| 19.309376
| 19.706474
| 18.533892
| 18.266228
| 18.947361
| 19.090755
| 17.948795
| 18.281292
| 18.033218
| 18.918839
| 18.892658
|
1112.1691
|
Kazunobu Maruyoshi
|
Giulio Bonelli, Kazunobu Maruyoshi, Alessandro Tanzini
|
Wild Quiver Gauge Theories
|
34 pages; v2. typos corrected
| null |
10.1007/JHEP02(2012)031
|
SISSA 65/2011/EP-FM
|
hep-th math-ph math.AG math.MP math.QA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study N=2 supersymmetric SU(2) gauge theories coupled to non-Lagrangian
superconformal field theories induced by compactifying the six dimensional A_1
(2,0) theory on Riemann surfaces with irregular punctures. These are naturally
associated to Hitchin systems with wild ramification whose spectral curves
provide the relevant Seiberg-Witten geometries. We propose that the
prepotential of these gauge theories on the Omega-background can be obtained
from the corresponding irregular conformal blocks on the Riemann surfaces via a
generalization of the coherent state construction to the case of higher order
singularities.
|
[
{
"created": "Wed, 7 Dec 2011 21:00:00 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Dec 2011 17:49:00 GMT",
"version": "v2"
}
] |
2015-06-03
|
[
[
"Bonelli",
"Giulio",
""
],
[
"Maruyoshi",
"Kazunobu",
""
],
[
"Tanzini",
"Alessandro",
""
]
] |
We study N=2 supersymmetric SU(2) gauge theories coupled to non-Lagrangian superconformal field theories induced by compactifying the six dimensional A_1 (2,0) theory on Riemann surfaces with irregular punctures. These are naturally associated to Hitchin systems with wild ramification whose spectral curves provide the relevant Seiberg-Witten geometries. We propose that the prepotential of these gauge theories on the Omega-background can be obtained from the corresponding irregular conformal blocks on the Riemann surfaces via a generalization of the coherent state construction to the case of higher order singularities.
| 3.556782
| 5.581281
| 7.943541
| 5.191207
| 5.366554
| 5.496758
| 5.051221
| 5.155484
| 4.843414
| 8.061312
| 5.161577
| 4.650141
| 6.083659
| 4.581095
| 4.415234
| 4.602269
| 4.610689
| 4.557534
| 4.428129
| 5.5526
| 4.532034
|
1310.3246
|
Fernando Tadeu Caldeira Brandt
|
F. T. Brandt, J. Frenkel and J. B. Siqueira
|
Hard thermal loops in static background fields
|
5 pages, to be published in The European Physical Journal C
| null |
10.1140/epjc/s10052-013-2622-4
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss the high temperature behavior of retarded thermal loops in static
external fields. We employ an analytic continuation of the imaginary time
formalism and use a spectral representation of the thermal amplitudes. We show
that, to all orders, the leading contributions of static hard thermal loops can
be directly obtained by evaluating them at zero external energies and momenta.
|
[
{
"created": "Fri, 11 Oct 2013 19:13:58 GMT",
"version": "v1"
}
] |
2015-06-17
|
[
[
"Brandt",
"F. T.",
""
],
[
"Frenkel",
"J.",
""
],
[
"Siqueira",
"J. B.",
""
]
] |
We discuss the high temperature behavior of retarded thermal loops in static external fields. We employ an analytic continuation of the imaginary time formalism and use a spectral representation of the thermal amplitudes. We show that, to all orders, the leading contributions of static hard thermal loops can be directly obtained by evaluating them at zero external energies and momenta.
| 12.43087
| 10.575112
| 11.796926
| 10.467029
| 11.596847
| 11.585903
| 11.527079
| 10.907348
| 10.639599
| 12.96488
| 11.048495
| 11.227763
| 11.254245
| 10.717422
| 11.321658
| 11.660341
| 11.216695
| 10.620935
| 10.98176
| 11.704251
| 11.759809
|
hep-th/0002192
|
Krzysztof Pilch
|
Krzysztof Pilch and Nicholas P. Warner
|
A New Supersymmetric Compactification of Chiral IIB Supergravity
|
14 pages, references added, some typos corrected
|
Phys.Lett. B487 (2000) 22-29
|
10.1016/S0370-2693(00)00796-6
|
CITUSC/00-012, USC-00/01
|
hep-th
| null |
We present a new compactification of chiral, N=2 ten-dimensional supergravity
down to five dimensions and show that it corresponds to the N=2 supersymmetric
critical point of five-dimensional, N=8 gauged supergravity found in [KPW].
This solution presented here is of particular significance because it involves
non-zero tensor gauge fields and, via the AdS/CFT correspondence, is dual to
the non-trivial N=1 supersymmetric fixed point of N=4 Yang-Mills theory.
|
[
{
"created": "Wed, 23 Feb 2000 01:37:13 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Jun 2000 22:02:20 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Pilch",
"Krzysztof",
""
],
[
"Warner",
"Nicholas P.",
""
]
] |
We present a new compactification of chiral, N=2 ten-dimensional supergravity down to five dimensions and show that it corresponds to the N=2 supersymmetric critical point of five-dimensional, N=8 gauged supergravity found in [KPW]. This solution presented here is of particular significance because it involves non-zero tensor gauge fields and, via the AdS/CFT correspondence, is dual to the non-trivial N=1 supersymmetric fixed point of N=4 Yang-Mills theory.
| 8.637343
| 7.338852
| 9.554144
| 7.302814
| 7.347818
| 7.175527
| 8.76269
| 7.711739
| 7.709277
| 10.385526
| 7.28609
| 7.586557
| 8.530628
| 7.509037
| 7.343867
| 7.514748
| 7.636238
| 7.476429
| 7.582487
| 8.244727
| 7.565753
|
1503.04232
|
Ricardo Kullock
|
R. Kullock
|
Developments on the Jordan-Schwinger construction and contraction for
the $su_q(2)$
| null | null | null | null |
hep-th math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The contraction and Jordan-Schwinger construction connect the $su(2)$ and the
heisenberg algebra, going in oposite directions. This persists in the
q-deformed cases, but in a slightly different way. This work investigates this
further, discussing some details and results found in the litterature and
presenting some new ones, including a non-linear expression that leads the
contraction back to the original q-boson algebra used in the Jordan-Schwinger
construction.
|
[
{
"created": "Fri, 13 Mar 2015 21:59:33 GMT",
"version": "v1"
},
{
"created": "Thu, 14 May 2015 16:51:09 GMT",
"version": "v2"
}
] |
2015-05-15
|
[
[
"Kullock",
"R.",
""
]
] |
The contraction and Jordan-Schwinger construction connect the $su(2)$ and the heisenberg algebra, going in oposite directions. This persists in the q-deformed cases, but in a slightly different way. This work investigates this further, discussing some details and results found in the litterature and presenting some new ones, including a non-linear expression that leads the contraction back to the original q-boson algebra used in the Jordan-Schwinger construction.
| 18.67972
| 15.87238
| 20.541227
| 16.963282
| 16.396473
| 19.211695
| 17.902245
| 15.872971
| 15.216297
| 20.878256
| 15.9023
| 15.68475
| 18.51226
| 16.330648
| 15.892931
| 16.57637
| 15.903669
| 16.701118
| 15.333786
| 17.746237
| 16.632208
|
2407.01510
|
Georgi Dvali
|
Gia Dvali
|
A String Theoretic Derivation of Gibbons-Hawking Entropy
|
8 pages, Latex
| null | null | null |
hep-th gr-qc hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We describe an attempt of string theoretic derivation of the Gibbons-Hawking
entropy. Despite not admitting a de Sitter vacuum, the string theory, by the
power of open-close correspondence, captures the Gibbons-Hawking entropy as the
entropy of Chan-Paton species on a de Sitter-like state obtained via
$D$-branes. Moreover, this derivation sheds a new light at the origin of the
area-form, since the equality takes place for a critical 't Hooft coupling for
which the species entropy of open strings saturates the area-law unitarity
bound.
|
[
{
"created": "Mon, 1 Jul 2024 17:55:04 GMT",
"version": "v1"
}
] |
2024-07-02
|
[
[
"Dvali",
"Gia",
""
]
] |
We describe an attempt of string theoretic derivation of the Gibbons-Hawking entropy. Despite not admitting a de Sitter vacuum, the string theory, by the power of open-close correspondence, captures the Gibbons-Hawking entropy as the entropy of Chan-Paton species on a de Sitter-like state obtained via $D$-branes. Moreover, this derivation sheds a new light at the origin of the area-form, since the equality takes place for a critical 't Hooft coupling for which the species entropy of open strings saturates the area-law unitarity bound.
| 19.435482
| 19.149206
| 20.326674
| 17.420712
| 17.55187
| 18.939182
| 16.380089
| 18.799612
| 17.255623
| 21.293352
| 17.036432
| 17.17919
| 17.204437
| 16.488777
| 17.444355
| 17.331841
| 17.26362
| 17.394627
| 17.121281
| 18.260593
| 16.595282
|
1502.05575
|
Vladimir Belavin
|
V. Belavin and Yu. Rud
|
Matrix model approach to minimal Liouville gravity revisited
|
11 pages
| null |
10.1088/1751-8113/48/18/18FT01
|
FIAN-TD-2015-03
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using the connection with the Frobenius manifold structure, we study the
matrix model description of minimal Liouville gravity (MLG) based on the
Douglas string equation. Our goal is to find an exact discrete formulation of
the (q,p) MLG model that intrinsically contains information about the conformal
selection rules. We discuss how to modify the Frobenius manifold structure
appropriately for this purposes. We propose a modification of the construction
for Lee-Yang series involving the $A_{p-1}$ algebra instead of the previously
used $A_1$ algebra. With the new prescription, we calculate correlators on the
sphere up to four points and find full agreement with the continuous approach
without using resonance transformations.
|
[
{
"created": "Thu, 19 Feb 2015 14:02:12 GMT",
"version": "v1"
}
] |
2015-06-23
|
[
[
"Belavin",
"V.",
""
],
[
"Rud",
"Yu.",
""
]
] |
Using the connection with the Frobenius manifold structure, we study the matrix model description of minimal Liouville gravity (MLG) based on the Douglas string equation. Our goal is to find an exact discrete formulation of the (q,p) MLG model that intrinsically contains information about the conformal selection rules. We discuss how to modify the Frobenius manifold structure appropriately for this purposes. We propose a modification of the construction for Lee-Yang series involving the $A_{p-1}$ algebra instead of the previously used $A_1$ algebra. With the new prescription, we calculate correlators on the sphere up to four points and find full agreement with the continuous approach without using resonance transformations.
| 13.97505
| 11.736104
| 14.404749
| 10.831486
| 11.689485
| 10.876041
| 11.560949
| 11.313015
| 11.173044
| 15.558409
| 11.99329
| 11.54762
| 13.811251
| 12.510406
| 12.194408
| 11.812775
| 12.039475
| 12.684016
| 12.548045
| 12.759409
| 12.350566
|
0706.1010
|
Dmitriy Kulikov
|
D. A. Kulikov, R. S. Tutik
|
Relativistic wave equation for one spin-1/2 and one spin-0 particle
|
Talk given at International School-Seminar "New physics and QCD at
external conditions" (Dniepropetrovsk, Ukraine, May 3-6, 2007); 8 pages;
prepared for publication in Proceedings
| null | null | null |
hep-th
| null |
A new approach to the two-body problem based on the extension of the
$SL(2,C)$ group to the $Sp(4,C)$ one is developed. The wave equation with the
Lorentz-scalar and Lorentz-vector potential interactions for the system of one
spin-1/2 and one spin-0 particle with unequal masses is constructed.
|
[
{
"created": "Thu, 7 Jun 2007 14:35:31 GMT",
"version": "v1"
}
] |
2007-06-08
|
[
[
"Kulikov",
"D. A.",
""
],
[
"Tutik",
"R. S.",
""
]
] |
A new approach to the two-body problem based on the extension of the $SL(2,C)$ group to the $Sp(4,C)$ one is developed. The wave equation with the Lorentz-scalar and Lorentz-vector potential interactions for the system of one spin-1/2 and one spin-0 particle with unequal masses is constructed.
| 6.91449
| 5.939418
| 5.363719
| 4.921494
| 5.774195
| 6.039568
| 5.243427
| 5.990432
| 5.382316
| 6.691228
| 5.780601
| 5.955094
| 5.768303
| 5.807176
| 6.014888
| 6.138367
| 5.795871
| 6.057856
| 5.982635
| 5.916533
| 5.902389
|
1104.1888
|
Paul Sutcliffe
|
Paul Sutcliffe
|
Monopoles in AdS
|
20 pages, 5 figures. Matches the published version
|
JHEP 1108:032,2011
|
10.1007/JHEP08(2011)032
|
DCPT-11/13
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Applications to holographic theories have led to some recent interest in
magnetic monopoles in four-dimensional Anti-de Sitter spacetime. This paper is
concerned with a study of these monopoles, using both analytic and numerical
methods. An approximation is introduced in which the fields of a charge N
monopole are explicitly given in terms of a degree N rational map. Within this
approximation, it is shown that the minimal energy monopole of charge N has the
same symmetry as the minimal energy Skyrmion with baryon number N in Minkowski
spacetime. Beyond charge two the minimal energy monopole has only a discrete
symmetry, which is often Platonic. The rational map approximation provides an
upper bound on the monopole energy and may be viewed as a smooth non-abelian
refinement of the magnetic bag approximation, to which it reverts under some
additional approximations. The analytic results are supported by numerical
solutions obtained from simulations of the non-abelian field theory. A similar
analysis is performed on the monopole wall that emerges in the large N limit,
to reveal a hexagonal lattice as the minimal energy architecture.
|
[
{
"created": "Mon, 11 Apr 2011 09:16:10 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Sep 2011 14:55:16 GMT",
"version": "v2"
}
] |
2011-09-02
|
[
[
"Sutcliffe",
"Paul",
""
]
] |
Applications to holographic theories have led to some recent interest in magnetic monopoles in four-dimensional Anti-de Sitter spacetime. This paper is concerned with a study of these monopoles, using both analytic and numerical methods. An approximation is introduced in which the fields of a charge N monopole are explicitly given in terms of a degree N rational map. Within this approximation, it is shown that the minimal energy monopole of charge N has the same symmetry as the minimal energy Skyrmion with baryon number N in Minkowski spacetime. Beyond charge two the minimal energy monopole has only a discrete symmetry, which is often Platonic. The rational map approximation provides an upper bound on the monopole energy and may be viewed as a smooth non-abelian refinement of the magnetic bag approximation, to which it reverts under some additional approximations. The analytic results are supported by numerical solutions obtained from simulations of the non-abelian field theory. A similar analysis is performed on the monopole wall that emerges in the large N limit, to reveal a hexagonal lattice as the minimal energy architecture.
| 8.91837
| 8.213202
| 9.673621
| 8.348859
| 9.01512
| 8.920879
| 8.638412
| 8.892738
| 8.136202
| 10.286524
| 8.540459
| 8.549234
| 9.05738
| 8.792878
| 8.611634
| 8.500967
| 8.636069
| 8.428913
| 8.653282
| 9.101377
| 8.721832
|
0807.0457
|
Adam Brown
|
Adam R. Brown
|
Boom and Bust Inflation: a Graceful Exit via Compact Extra Dimensions
|
11 pages, 5 figures
|
Phys.Rev.Lett.101:221302,2008
|
10.1103/PhysRevLett.101.221302
| null |
hep-th astro-ph gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A model of inflation is proposed in which compact extra dimensions allow a
graceful exit without recourse to flat potentials or super-Planckian field
values. Though bubbles of true vacuum are too sparse to uniformly reheat the
Universe by colliding with each other, a compact dimension enables a single
bubble to uniformly reheat by colliding with itself. This mechanism, which
generates an approximately scale invariant perturbation spectrum, requires that
inflation be driven by a bulk field, that vacuum decay be slow, and that the
extra dimension be at least a hundred times larger than the false vacuum Hubble
length.
|
[
{
"created": "Thu, 3 Jul 2008 19:49:41 GMT",
"version": "v1"
}
] |
2008-12-18
|
[
[
"Brown",
"Adam R.",
""
]
] |
A model of inflation is proposed in which compact extra dimensions allow a graceful exit without recourse to flat potentials or super-Planckian field values. Though bubbles of true vacuum are too sparse to uniformly reheat the Universe by colliding with each other, a compact dimension enables a single bubble to uniformly reheat by colliding with itself. This mechanism, which generates an approximately scale invariant perturbation spectrum, requires that inflation be driven by a bulk field, that vacuum decay be slow, and that the extra dimension be at least a hundred times larger than the false vacuum Hubble length.
| 10.594994
| 11.084977
| 10.449428
| 10.690094
| 12.46289
| 11.650082
| 12.060503
| 9.85608
| 10.581766
| 11.637938
| 10.816006
| 10.025249
| 10.046747
| 10.372589
| 10.422466
| 10.164931
| 10.783713
| 10.49763
| 10.324497
| 10.854852
| 9.974278
|
1903.09250
|
Daniele Dorigoni Dr
|
Daniele Dorigoni and Axel Kleinschmidt
|
Modular graph functions and asymptotic expansions of Poincar\'e series
|
33 pages. v2: Updated to match the published version in
Communications in Number Theory and Physics
| null | null | null |
hep-th math.NT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note we study $SL(2,\mathbb{Z})$-invariant functions such as modular
graph functions or coefficient functions of higher derivative corrections in
type IIB string theory. The functions solve inhomogeneous Laplace equations and
we choose to represent them as Poincar\'e series. In this way we can combine
different methods for asymptotic expansions and obtain the perturbative and
non-perturbative contributions to their zero Fourier modes. In the case of the
higher derivative corrections, these terms have an interpretation in terms of
perturbative string loop effects and pairs of instantons/anti-instantons.
|
[
{
"created": "Thu, 21 Mar 2019 21:54:24 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Jan 2020 09:14:52 GMT",
"version": "v2"
}
] |
2020-01-15
|
[
[
"Dorigoni",
"Daniele",
""
],
[
"Kleinschmidt",
"Axel",
""
]
] |
In this note we study $SL(2,\mathbb{Z})$-invariant functions such as modular graph functions or coefficient functions of higher derivative corrections in type IIB string theory. The functions solve inhomogeneous Laplace equations and we choose to represent them as Poincar\'e series. In this way we can combine different methods for asymptotic expansions and obtain the perturbative and non-perturbative contributions to their zero Fourier modes. In the case of the higher derivative corrections, these terms have an interpretation in terms of perturbative string loop effects and pairs of instantons/anti-instantons.
| 7.924224
| 7.826138
| 9.610058
| 7.531748
| 7.965793
| 7.347922
| 7.367921
| 7.848338
| 7.627442
| 9.193566
| 7.750201
| 7.816855
| 7.821023
| 7.335027
| 7.221089
| 7.380039
| 7.051097
| 7.537645
| 7.574791
| 8.014892
| 7.166345
|
2207.00407
|
Henry Lin
|
Henry W. Lin, Juan Maldacena, Liza Rozenberg, Jieru Shan
|
Holography for people with no time
|
21 pages, 9 figures; v2: slightly expanded discussion, v3: minor
improvements
|
SciPost Phys. 14, 150 (2023)
|
10.21468/SciPostPhys.14.6.150
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the gravitational description of extremal supersymmetric black
holes. We point out that the $AdS_2$ near horizon geometry can be used to
compute interesting observables, such as correlation functions of operators. In
this limit, the Hamiltonian is zero and correlation functions are time
independent. We discuss some possible implications for the gravity description
of black hole microstates. We also compare with numerical results in a
supersymmetric version of SYK. These results can also be interpreted as
providing a construction of wormholes joining two extremal black holes. This is
the short version of a longer and more technical companion paper
arXiv:2207.00408.
|
[
{
"created": "Fri, 1 Jul 2022 13:38:03 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Aug 2022 16:29:28 GMT",
"version": "v2"
},
{
"created": "Sun, 12 Mar 2023 15:37:26 GMT",
"version": "v3"
}
] |
2023-06-14
|
[
[
"Lin",
"Henry W.",
""
],
[
"Maldacena",
"Juan",
""
],
[
"Rozenberg",
"Liza",
""
],
[
"Shan",
"Jieru",
""
]
] |
We study the gravitational description of extremal supersymmetric black holes. We point out that the $AdS_2$ near horizon geometry can be used to compute interesting observables, such as correlation functions of operators. In this limit, the Hamiltonian is zero and correlation functions are time independent. We discuss some possible implications for the gravity description of black hole microstates. We also compare with numerical results in a supersymmetric version of SYK. These results can also be interpreted as providing a construction of wormholes joining two extremal black holes. This is the short version of a longer and more technical companion paper arXiv:2207.00408.
| 10.288983
| 9.716626
| 10.190461
| 8.83806
| 9.471739
| 9.149377
| 9.465314
| 9.104733
| 9.075171
| 10.539145
| 8.974735
| 9.029727
| 9.577374
| 9.295639
| 8.985638
| 9.34141
| 9.342375
| 9.266183
| 9.006049
| 9.392055
| 9.068662
|
1706.06680
|
Andrei Belitsky
|
A.V. Belitsky
|
Spectral determinants for twist field correlators
|
21 pages, 2 figures
|
Phys. Rev. D 97, 086008 (2018)
|
10.1103/PhysRevD.97.086008
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Twist fields were introduced a few decades ago as a quantum counterpart to
classical kink configurations and disorder variables in low dimensional field
theories. In recent years they received a new incarnation within the framework
of geometric entropy and strong coupling limit of four-dimensional scattering
amplitudes. In this paper, we study their two-point correlation functions in a
free massless scalar theory, namely, twist--twist and twist--anti-twist
correlators. In spite of the simplicity of the model in question, the
properties of the latter are far from being trivial. The problem is reduced,
within the formalism of the path integral, to the study of spectral
determinants on surfaces with conical points, which are then computed exactly
making use of the zeta function regularization. We also provide an insight into
twist correlators for a massive complex scalar by means of the Lifshitz-Krein
trace formula.
|
[
{
"created": "Tue, 20 Jun 2017 21:58:38 GMT",
"version": "v1"
}
] |
2018-04-25
|
[
[
"Belitsky",
"A. V.",
""
]
] |
Twist fields were introduced a few decades ago as a quantum counterpart to classical kink configurations and disorder variables in low dimensional field theories. In recent years they received a new incarnation within the framework of geometric entropy and strong coupling limit of four-dimensional scattering amplitudes. In this paper, we study their two-point correlation functions in a free massless scalar theory, namely, twist--twist and twist--anti-twist correlators. In spite of the simplicity of the model in question, the properties of the latter are far from being trivial. The problem is reduced, within the formalism of the path integral, to the study of spectral determinants on surfaces with conical points, which are then computed exactly making use of the zeta function regularization. We also provide an insight into twist correlators for a massive complex scalar by means of the Lifshitz-Krein trace formula.
| 10.840497
| 12.464075
| 12.335484
| 11.215216
| 12.092884
| 12.027397
| 11.976472
| 11.921219
| 11.45869
| 12.746902
| 10.851871
| 10.186215
| 10.647625
| 9.95843
| 10.112234
| 10.251464
| 10.119197
| 10.355266
| 9.996962
| 10.631459
| 9.86234
|
hep-th/0201096
|
Sylvester James Gates Jr.
|
I.L. Buchbinder, S. James Gates, Jr., J. Phillips and W. D. Linch
|
New 4D, N = 1 Superfield Theory: Model of Free Massive Superspin-3/2
Multiplet
|
12pp., LaTeX twice, no figures, Replacement contains additional
references as well as a new section on the massless limit
|
Phys.Lett. B535 (2002) 280-288
|
10.1016/S0370-2693(02)01772-0
|
UMDEPP 02-031, CALT-68-2368
|
hep-th
| null |
We present a Lagrangian formulation for the free superspin-3/2 massive 4D,
N=1 superfield. The model is described by a dynamical real vector superfield
and an auxiliary real scalar superfield. The corresponding multiplet contains
spin-1, spin-2 and two spin-3/2 propagating component fields on-shell. The
auxillary superfield is needed to ensure that the on-shell vector superfield
carries only the irreducible representation of the Poincare supergroup with a
given mass and the fixed superspin of 3/2. The bosonic sector of the component
level of the model is also presented.
|
[
{
"created": "Tue, 15 Jan 2002 01:24:30 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Mar 2002 19:55:51 GMT",
"version": "v2"
},
{
"created": "Fri, 19 Apr 2002 00:15:57 GMT",
"version": "v3"
}
] |
2012-08-27
|
[
[
"Buchbinder",
"I. L.",
""
],
[
"Gates,",
"S. James",
"Jr."
],
[
"Phillips",
"J.",
""
],
[
"Linch",
"W. D.",
""
]
] |
We present a Lagrangian formulation for the free superspin-3/2 massive 4D, N=1 superfield. The model is described by a dynamical real vector superfield and an auxiliary real scalar superfield. The corresponding multiplet contains spin-1, spin-2 and two spin-3/2 propagating component fields on-shell. The auxillary superfield is needed to ensure that the on-shell vector superfield carries only the irreducible representation of the Poincare supergroup with a given mass and the fixed superspin of 3/2. The bosonic sector of the component level of the model is also presented.
| 8.252466
| 6.979705
| 10.048292
| 7.015487
| 6.898442
| 7.210407
| 7.510875
| 6.959592
| 6.859151
| 9.461524
| 7.238611
| 7.908093
| 8.164074
| 7.272949
| 7.289052
| 7.072295
| 7.454561
| 7.311699
| 7.427226
| 8.073486
| 7.300702
|
hep-th/0306056
|
Aninda Sinha
|
Matthias R. Gaberdiel, Michael B. Green, Sakura Schafer-Nameki, Aninda
Sinha
|
Oblique and curved D-branes in IIB plane-wave string theory
|
27 pages
|
JHEP 0310 (2003) 052
|
10.1088/1126-6708/2003/10/052
| null |
hep-th
| null |
Oblique Dp-branes in the maximally supersymmetric type IIB plane-wave
background are constructed in terms of boundary states, as well as from the
open string point of view. These Dp-branes, whose existence was anticipated by
Hikida and Yamaguchi from general supersymmetry arguments, have an isometry
that is a subgroup of the diagonal SO(4) symmetry of the background. The
oblique D3-brane is found to preserve four dynamical and four kinematical
supersymmetries while the oblique D5-brane preserves one half of both the
dynamical and kinematical supersymmetries. We also discuss the open-string
boundary conditions for curved D7- and D5-branes, and analyze their
supersymmetry.
|
[
{
"created": "Fri, 6 Jun 2003 09:51:55 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Gaberdiel",
"Matthias R.",
""
],
[
"Green",
"Michael B.",
""
],
[
"Schafer-Nameki",
"Sakura",
""
],
[
"Sinha",
"Aninda",
""
]
] |
Oblique Dp-branes in the maximally supersymmetric type IIB plane-wave background are constructed in terms of boundary states, as well as from the open string point of view. These Dp-branes, whose existence was anticipated by Hikida and Yamaguchi from general supersymmetry arguments, have an isometry that is a subgroup of the diagonal SO(4) symmetry of the background. The oblique D3-brane is found to preserve four dynamical and four kinematical supersymmetries while the oblique D5-brane preserves one half of both the dynamical and kinematical supersymmetries. We also discuss the open-string boundary conditions for curved D7- and D5-branes, and analyze their supersymmetry.
| 6.828979
| 5.919239
| 8.175781
| 6.126196
| 6.37098
| 6.360159
| 6.218717
| 6.205508
| 6.050848
| 8.386987
| 6.044838
| 6.29836
| 7.061554
| 6.422642
| 6.210821
| 6.052015
| 6.309832
| 6.319601
| 6.431278
| 6.683058
| 6.122767
|
0708.0729
|
Hrvoje Nikolic
|
H. Nikolic
|
Black-hole information puzzle: A generic string-inspired approach
|
8 pages, revised, title changed, to appear in Eur. Phys. J. C
|
Eur.Phys.J.C54:319-323,2008
|
10.1140/epjc/s10052-008-0529-2
| null |
hep-th gr-qc
| null |
Given the insight steming from string theory, the origin of the black-hole
(BH) information puzzle is traced back to the assumption that it is physically
meaningful to trace out the density matrix over negative-frequency Hawking
particles. Instead, treating them as virtual particles necessarily absorbed by
the BH in a manner consistent with the laws of BH thermodynamics, and tracing
out the density matrix only over physical BH states, the complete evaporation
becomes compatible with unitarity.
|
[
{
"created": "Mon, 6 Aug 2007 09:26:54 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Aug 2007 11:16:15 GMT",
"version": "v2"
},
{
"created": "Tue, 8 Jan 2008 10:44:26 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Nikolic",
"H.",
""
]
] |
Given the insight steming from string theory, the origin of the black-hole (BH) information puzzle is traced back to the assumption that it is physically meaningful to trace out the density matrix over negative-frequency Hawking particles. Instead, treating them as virtual particles necessarily absorbed by the BH in a manner consistent with the laws of BH thermodynamics, and tracing out the density matrix only over physical BH states, the complete evaporation becomes compatible with unitarity.
| 20.045786
| 18.606323
| 17.04446
| 14.638839
| 16.094316
| 18.112038
| 16.686205
| 15.584394
| 15.913158
| 21.853699
| 17.762373
| 15.932398
| 16.456432
| 15.707334
| 15.646835
| 14.620953
| 15.931042
| 15.859454
| 15.866379
| 16.058897
| 17.987534
|
hep-th/9907210
|
Anton Kapustin
|
Martin Gremm, Anton Kapustin
|
Heterotic Little String Theories and Holography
|
27 pages, LaTeX
|
JHEP 9911 (1999) 018
|
10.1088/1126-6708/1999/11/018
|
MIT-CTP-2882, PUPT-1882, IASSNS-HEP-99/63
|
hep-th
| null |
It has been conjectured that Little String Theories in six dimensions are
holographic to critical string theory in a linear dilaton background. We test
this conjecture for theories arising on the worldvolume of heterotic
fivebranes. We compute the spectrum of chiral primaries in these theories and
compare with results following from Type I-heterotic duality and the AdS/CFT
correspondence. We also construct holographic duals for heterotic fivebranes
near orbifold singularities. Finally we find several new Little String Theories
which have Spin(32)/Z_2 or E_8 \times E_8 global symmetry but do not have a
simple interpretation either in heterotic or M-theory.
|
[
{
"created": "Wed, 28 Jul 1999 23:55:14 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Gremm",
"Martin",
""
],
[
"Kapustin",
"Anton",
""
]
] |
It has been conjectured that Little String Theories in six dimensions are holographic to critical string theory in a linear dilaton background. We test this conjecture for theories arising on the worldvolume of heterotic fivebranes. We compute the spectrum of chiral primaries in these theories and compare with results following from Type I-heterotic duality and the AdS/CFT correspondence. We also construct holographic duals for heterotic fivebranes near orbifold singularities. Finally we find several new Little String Theories which have Spin(32)/Z_2 or E_8 \times E_8 global symmetry but do not have a simple interpretation either in heterotic or M-theory.
| 7.228965
| 5.71449
| 7.077672
| 5.828732
| 6.273564
| 6.069051
| 6.128445
| 6.292684
| 5.769377
| 8.913508
| 5.741639
| 6.407505
| 6.871126
| 6.093872
| 6.40942
| 6.438537
| 6.164376
| 6.40678
| 6.375413
| 6.829273
| 6.266908
|
1304.0792
|
Oscar Loaiza-Brito
|
Cesar Damian and Oscar Loaiza-Brito
|
More stable dS vacua from S-dual non-geometric fluxes
|
11 pages, no figures. (v2) A mistake concerning the way tadpole and
Bianchi identities are fulfilled was corrected. We report 7 more vacua than
previous version. (v3) References added. Some comments concerning the
specifics of the model were clarified. Version accepted for publication in
PRD
| null |
10.1103/PhysRevD.88.046008
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Stable vacua obtained from isotropic tori compactification might not be fully
stable provided the existence of runaway directions in the Kaehler directions
of anisotropy. By implementing a genetic algorithm we report the existence of
explicit flux configurations leading to stable de Sitter and Anti- de Sitter
vacua, consisting on Type IIB compactifications on a 6-dimensional anisotropic
torus threaded with standard and S-dual invariant non-geometric fluxes in the
presence of orientifold 3-planes. In all dS vacua the masses of the complex
structure moduli are heavier than the Hubble scale suggesting that the
axio-dilaton and Kaeahler moduli are natural candidates for small-field
inflation. In the way, we also report new solutions on isotropic and
semi-isotropic tori compactifications. Finally, we observe that, since all our
solutions are obtained in the absence of solitonic objects, they are good
candidates to be lifted to stable solutions in extended supersymmetric
theories.
|
[
{
"created": "Tue, 2 Apr 2013 20:30:49 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Jun 2013 21:13:08 GMT",
"version": "v2"
},
{
"created": "Tue, 6 Aug 2013 18:58:31 GMT",
"version": "v3"
}
] |
2013-08-28
|
[
[
"Damian",
"Cesar",
""
],
[
"Loaiza-Brito",
"Oscar",
""
]
] |
Stable vacua obtained from isotropic tori compactification might not be fully stable provided the existence of runaway directions in the Kaehler directions of anisotropy. By implementing a genetic algorithm we report the existence of explicit flux configurations leading to stable de Sitter and Anti- de Sitter vacua, consisting on Type IIB compactifications on a 6-dimensional anisotropic torus threaded with standard and S-dual invariant non-geometric fluxes in the presence of orientifold 3-planes. In all dS vacua the masses of the complex structure moduli are heavier than the Hubble scale suggesting that the axio-dilaton and Kaeahler moduli are natural candidates for small-field inflation. In the way, we also report new solutions on isotropic and semi-isotropic tori compactifications. Finally, we observe that, since all our solutions are obtained in the absence of solitonic objects, they are good candidates to be lifted to stable solutions in extended supersymmetric theories.
| 13.960647
| 12.794572
| 14.668437
| 12.458306
| 14.778542
| 14.057798
| 14.389931
| 13.299359
| 12.477749
| 16.343164
| 13.376478
| 12.331606
| 13.718861
| 13.010024
| 13.211786
| 13.014118
| 12.973072
| 12.822946
| 12.909083
| 14.007507
| 12.787003
|
hep-th/0204182
|
Carlos Castro
|
Carlos Castro
|
On Wilson Loops and Confinement without Supersymmetry from Composite
Antisymmeric Tensor Field theories
|
8 pages, plain Tex
| null | null | null |
hep-th
| null |
A novel approach that does not rely on supersymmetry, nor in the AdS/CFT
correspondence, to evaluate the Wilson loops asociated with a gauge theory of
area-preserving diffeomorphisms in terms of pure string degrees of freedoms is
presented. It is based on the Guendelman-Nissimov-Pacheva formulation of
composite antisymmetric tensor field theories of volume-preserving
diffeomorphisms. Such theories admit p-brane solutions. The quantum effects are
discussed and we evaluate exactly the vev of the Wilson loops, in the large N
limit of quenched-reduced SU(N) QCD, in terms of a path integral involving pure
string degrees of freedom. It is consistent with the recent results based on
the AdS/CFT correspondence and dual QCD models (dual Higgs model with dual
Dirac strings). More general Loop wave equations in C-spaces (Clifford
manifolds) are proposed in terms of holographic variables that contain the
dynamics of an aggregate of closed branes (p-loops) of various
dimensionalities.
|
[
{
"created": "Mon, 22 Apr 2002 15:28:43 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Castro",
"Carlos",
""
]
] |
A novel approach that does not rely on supersymmetry, nor in the AdS/CFT correspondence, to evaluate the Wilson loops asociated with a gauge theory of area-preserving diffeomorphisms in terms of pure string degrees of freedoms is presented. It is based on the Guendelman-Nissimov-Pacheva formulation of composite antisymmetric tensor field theories of volume-preserving diffeomorphisms. Such theories admit p-brane solutions. The quantum effects are discussed and we evaluate exactly the vev of the Wilson loops, in the large N limit of quenched-reduced SU(N) QCD, in terms of a path integral involving pure string degrees of freedom. It is consistent with the recent results based on the AdS/CFT correspondence and dual QCD models (dual Higgs model with dual Dirac strings). More general Loop wave equations in C-spaces (Clifford manifolds) are proposed in terms of holographic variables that contain the dynamics of an aggregate of closed branes (p-loops) of various dimensionalities.
| 13.374635
| 14.550866
| 14.933035
| 13.237148
| 14.151112
| 13.185692
| 13.093372
| 12.879233
| 12.532367
| 16.679697
| 13.131048
| 12.958558
| 13.001069
| 13.205651
| 13.032195
| 12.789845
| 12.601197
| 12.817997
| 12.736553
| 14.10455
| 12.773322
|
hep-th/9508088
|
Guido
|
Klaus Kirstem and Guido Cognola
|
Heat-kernel coefficients and functional determinants for higher-spin
fields on the ball
|
13 pages, LaTex
|
Class.Quant.Grav. 13 (1996) 633-644
|
10.1088/0264-9381/13/4/005
|
Preprint Trento University, UTF 354
|
hep-th
| null |
The zeta function associated with higher-spin fields on the Euclidean
$4$-ball is investigated. The leading coefficients of the corresponding
heat-kernel expansion are given explicitly and the zeta functional determinant
is calculated. For fermionic fields the determinant is shown to differ for
local and spectral boundary conditions.
|
[
{
"created": "Fri, 18 Aug 1995 10:59:38 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Kirstem",
"Klaus",
""
],
[
"Cognola",
"Guido",
""
]
] |
The zeta function associated with higher-spin fields on the Euclidean $4$-ball is investigated. The leading coefficients of the corresponding heat-kernel expansion are given explicitly and the zeta functional determinant is calculated. For fermionic fields the determinant is shown to differ for local and spectral boundary conditions.
| 13.951862
| 9.133762
| 11.295807
| 9.926546
| 11.074567
| 9.732388
| 10.83943
| 10.139449
| 10.143608
| 13.330991
| 9.80905
| 10.663308
| 11.733731
| 10.851111
| 10.971521
| 10.814677
| 10.826598
| 10.529979
| 10.66207
| 11.734067
| 10.390431
|
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