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|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9212002
|
Haruhiko Terao
|
Haruhiko Terao
|
Two Dimensional Black Hole Evapolation in the Light-Cone Gauge
|
10 pages, KANAZAWA-92-19
|
Prog.Theor.Phys.Suppl.114:175-184,1993
|
10.1143/PTPS.114.175
| null |
hep-th
| null |
Quantization of the pure $1+1$ dimensional dilaton gravity is examined in the
light-cone gauge. It is found that the total action including ghosts generates
a $c=0$ free conformal field theory without modification of the classical
action, which is required in the conformal gauge. We also study semiclassical
equations of the dilaton gravity coupled to $N$ scalar fields. It is shown that
the black hole singularity is not removed even for $N<24$ in the light-cone
gauge. This indicates that the semiclassical analysis breaks down for small
$N$.
|
[
{
"created": "Tue, 1 Dec 1992 11:56:57 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Terao",
"Haruhiko",
""
]
] |
Quantization of the pure $1+1$ dimensional dilaton gravity is examined in the light-cone gauge. It is found that the total action including ghosts generates a $c=0$ free conformal field theory without modification of the classical action, which is required in the conformal gauge. We also study semiclassical equations of the dilaton gravity coupled to $N$ scalar fields. It is shown that the black hole singularity is not removed even for $N<24$ in the light-cone gauge. This indicates that the semiclassical analysis breaks down for small $N$.
| 8.5727
| 7.158363
| 8.512
| 7.536923
| 7.762228
| 7.702118
| 7.628543
| 7.452473
| 7.470376
| 7.585465
| 7.367627
| 7.496981
| 7.997525
| 7.349448
| 7.882498
| 7.507159
| 7.480094
| 7.725966
| 7.329859
| 8.084621
| 7.940901
|
0709.4392
|
Ruslan Metsaev
|
R. R. Metsaev
|
Ordinary-derivative formulation of conformal totally symmetric arbitrary
spin bosonic fields
|
51 pages, v2: Results and conclusions of v1 unchanged. In Sec.3,
brief review of higher-derivative approaches added. In Sec.4, new
representations for Lagrangian, modified de Donder gauge, and de
Donder-Stueckelberg gauge added. In Sec.5, discussion of interrelations
between the ordinary-derivative and higher-derivative approaches added.
Appendices A,B,C,D and references added
| null |
10.1007/JHEP06(2012)062
|
FIAN-TD-2007-11
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Conformal totally symmetric arbitrary spin bosonic fields in flat space-time
of even dimension greater than or equal to four are studied. Second-derivative
(ordinary-derivative) formulation for such fields is developed. We obtain gauge
invariant Lagrangian and the corresponding gauge transformations. Gauge
symmetries are realized by involving the Stueckelberg and auxiliary fields.
Realization of global conformal boost symmetries on conformal gauge fields is
obtained. Modified de Donder gauge condition and de Donder-Stueckelberg gauge
condition are introduced. Using the de Donder-Stueckelberg gauge frame,
equivalence of the ordinary-derivative and higher-derivative approaches is
demonstrated. On-shell degrees of freedom of the arbitrary spin conformal field
are analyzed. Ordinary-derivative light-cone gauge Lagrangian of conformal
fields is also presented. Interrelations between the ordinary-derivative gauge
invariant formulation of conformal fields and the gauge invariant formulation
of massive fields are discussed.
|
[
{
"created": "Thu, 27 Sep 2007 13:42:14 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Apr 2012 18:12:10 GMT",
"version": "v2"
}
] |
2015-05-13
|
[
[
"Metsaev",
"R. R.",
""
]
] |
Conformal totally symmetric arbitrary spin bosonic fields in flat space-time of even dimension greater than or equal to four are studied. Second-derivative (ordinary-derivative) formulation for such fields is developed. We obtain gauge invariant Lagrangian and the corresponding gauge transformations. Gauge symmetries are realized by involving the Stueckelberg and auxiliary fields. Realization of global conformal boost symmetries on conformal gauge fields is obtained. Modified de Donder gauge condition and de Donder-Stueckelberg gauge condition are introduced. Using the de Donder-Stueckelberg gauge frame, equivalence of the ordinary-derivative and higher-derivative approaches is demonstrated. On-shell degrees of freedom of the arbitrary spin conformal field are analyzed. Ordinary-derivative light-cone gauge Lagrangian of conformal fields is also presented. Interrelations between the ordinary-derivative gauge invariant formulation of conformal fields and the gauge invariant formulation of massive fields are discussed.
| 7.695971
| 4.815691
| 8.766788
| 5.437923
| 5.222806
| 4.789767
| 4.575065
| 5.289011
| 5.297013
| 8.777236
| 5.350995
| 6.161775
| 7.530159
| 6.374799
| 6.259488
| 6.337412
| 6.110681
| 6.413546
| 6.597374
| 7.421098
| 6.536263
|
2005.05028
|
Naoki Yamamoto
|
Naoki Yamamoto
|
Magnetic monopoles and fermion number violation in chiral matter
|
5 pages
| null | null | null |
hep-th astro-ph.CO cond-mat.mes-hall hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the presence of a magnetic monopole in position space gives rise
to a violation of the fermion number conservation in chiral matter. Using the
chiral kinetic theory, we derive a model-independent expression of such a
violation in nonequilibrium many-body systems of chiral fermions. In local
thermal equilibrium at finite temperature and chemical potential, in
particular, this violation is proportional to the chemical potential with a
topologically quantized coefficient. These consequences are due to the
interplay between the Dirac monopole in position space and the Berry monopole
in momentum space. Our mechanism can be applied to study the roles of magnetic
monopoles in the nonequilibrium evolution of the early Universe.
|
[
{
"created": "Mon, 11 May 2020 12:03:10 GMT",
"version": "v1"
}
] |
2020-05-12
|
[
[
"Yamamoto",
"Naoki",
""
]
] |
We show that the presence of a magnetic monopole in position space gives rise to a violation of the fermion number conservation in chiral matter. Using the chiral kinetic theory, we derive a model-independent expression of such a violation in nonequilibrium many-body systems of chiral fermions. In local thermal equilibrium at finite temperature and chemical potential, in particular, this violation is proportional to the chemical potential with a topologically quantized coefficient. These consequences are due to the interplay between the Dirac monopole in position space and the Berry monopole in momentum space. Our mechanism can be applied to study the roles of magnetic monopoles in the nonequilibrium evolution of the early Universe.
| 6.714559
| 7.128492
| 7.009614
| 6.491628
| 7.117722
| 6.985813
| 7.238812
| 6.754386
| 6.470223
| 6.915978
| 6.361576
| 6.473297
| 6.552664
| 6.335931
| 6.484145
| 6.505924
| 6.532377
| 6.389174
| 6.344395
| 6.463645
| 6.378765
|
0806.1954
|
Marco Caldarelli
|
Marco M. Caldarelli, Roberto Emparan, Maria J. Rodriguez
|
Black Rings in (Anti)-deSitter space
|
38 pages, 6 figures. v2: changes in terminology, refs added. v3:
minor improvements, refs added, published version
|
JHEP 0811:011,2008
|
10.1088/1126-6708/2008/11/011
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct solutions for thin black rings in Anti-deSitter and deSitter
spacetimes using approximate methods. Black rings in AdS exist with arbitrarily
large radius and satisfy a bound |J| \leq LM, which they saturate as their
radius becomes infinitely large. For angular momentum near the maximum, they
have larger area than rotating AdS black holes. Thin black rings also exist in
deSitter space, with rotation velocities varying between zero and a maximum,
and with a radius that is always strictly below the Hubble radius. Our general
analysis allows us to include black Saturns as well, which we discuss briefly.
We present a simple physical argument why supersymmetric AdS black rings must
not be expected: they do not possess the necessary pressure to balance the AdS
potential. We discuss the possible existence or absence of `large AdS black
rings' and their implications for a dual hydrodynamic description. An analysis
of the physical properties of rotating AdS black holes is also included.
|
[
{
"created": "Thu, 12 Jun 2008 16:24:37 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Jun 2008 17:37:33 GMT",
"version": "v2"
},
{
"created": "Tue, 6 Jan 2009 18:18:12 GMT",
"version": "v3"
}
] |
2009-12-10
|
[
[
"Caldarelli",
"Marco M.",
""
],
[
"Emparan",
"Roberto",
""
],
[
"Rodriguez",
"Maria J.",
""
]
] |
We construct solutions for thin black rings in Anti-deSitter and deSitter spacetimes using approximate methods. Black rings in AdS exist with arbitrarily large radius and satisfy a bound |J| \leq LM, which they saturate as their radius becomes infinitely large. For angular momentum near the maximum, they have larger area than rotating AdS black holes. Thin black rings also exist in deSitter space, with rotation velocities varying between zero and a maximum, and with a radius that is always strictly below the Hubble radius. Our general analysis allows us to include black Saturns as well, which we discuss briefly. We present a simple physical argument why supersymmetric AdS black rings must not be expected: they do not possess the necessary pressure to balance the AdS potential. We discuss the possible existence or absence of `large AdS black rings' and their implications for a dual hydrodynamic description. An analysis of the physical properties of rotating AdS black holes is also included.
| 12.894785
| 13.90544
| 12.237082
| 12.216423
| 12.016316
| 12.511733
| 12.792492
| 12.602696
| 12.620021
| 14.210775
| 11.611055
| 12.132957
| 11.995967
| 12.106421
| 11.996193
| 12.052742
| 12.020124
| 11.962157
| 12.023003
| 12.435559
| 12.109828
|
1606.09479
|
Jiri Prochazka PhD
|
Jiri Prochazka, Vojtech Kundrat
|
Eikonal model analysis of elastic proton-proton collisions at 52.8 GeV
and 8 TeV
|
31 pages, 37 figures, 2 tables
|
Eur. Phys. J. C (2020) 80: 779
|
10.1140/epjc/s10052-020-8334-7
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Under the influence of standardly used description of Coulomb-hadronic
interference proposed by West and Yennie the protons have been interpreted as
transparent objects; elastic events have been interpreted as more central than
inelastic ones. It will be shown that using eikonal model the protons may be
interpreted in agreement with usual ontological conception; elastic processes
being more peripheral than inelastic ones. The corresponding results (differing
fundamentally from the suggested hitherto models) will be presented by
analyzing the most ample elastic data set measured at the ISR energy of 52.8
GeV and the LHC energy of 8 TeV. Detailed analysis of measured differential
cross section will be performed and possibility of peripheral behavior on the
basis of eikonal model will be presented. The impact of recently established
electromagnetic form factors on determination of quantities specifying hadron
interaction determined from the fits of experimental elastic data will be
analyzed. The influence of some other assumptions on proton characteristics
derived from elastic hadronic amplitude determined on the basis of experimental
data will be studied, too.
|
[
{
"created": "Thu, 30 Jun 2016 13:26:55 GMT",
"version": "v1"
},
{
"created": "Thu, 18 May 2017 16:05:16 GMT",
"version": "v2"
},
{
"created": "Mon, 25 Sep 2017 14:34:52 GMT",
"version": "v3"
},
{
"created": "Tue, 16 Apr 2019 15:15:26 GMT",
"version": "v4"
},
{
"created": "Mon, 5 Aug 2019 18:52:11 GMT",
"version": "v5"
}
] |
2022-03-14
|
[
[
"Prochazka",
"Jiri",
""
],
[
"Kundrat",
"Vojtech",
""
]
] |
Under the influence of standardly used description of Coulomb-hadronic interference proposed by West and Yennie the protons have been interpreted as transparent objects; elastic events have been interpreted as more central than inelastic ones. It will be shown that using eikonal model the protons may be interpreted in agreement with usual ontological conception; elastic processes being more peripheral than inelastic ones. The corresponding results (differing fundamentally from the suggested hitherto models) will be presented by analyzing the most ample elastic data set measured at the ISR energy of 52.8 GeV and the LHC energy of 8 TeV. Detailed analysis of measured differential cross section will be performed and possibility of peripheral behavior on the basis of eikonal model will be presented. The impact of recently established electromagnetic form factors on determination of quantities specifying hadron interaction determined from the fits of experimental elastic data will be analyzed. The influence of some other assumptions on proton characteristics derived from elastic hadronic amplitude determined on the basis of experimental data will be studied, too.
| 17.543791
| 21.344963
| 13.865072
| 14.754085
| 20.686552
| 23.086464
| 18.170071
| 20.786152
| 17.728428
| 17.52293
| 19.226126
| 19.077465
| 16.185789
| 16.217712
| 17.259817
| 18.32682
| 16.715263
| 17.897051
| 16.618628
| 16.365498
| 18.01413
|
hep-th/0011214
|
Jerzy Lukierski
|
J. Lukierski (Wroclaw, Poland), P.C. Stichel (Bielefeld, Germany) and
W.J. Zakrzewski (Durham, UK)
|
Chern-Simons Particles with Nonstandard Gravitational Interaction
|
LaTeX, 1 figure (included), 14 pages
|
Eur.Phys.J.C20:759-765,2001
|
10.1007/s100520100683
| null |
hep-th
| null |
The model of nonrelativistic particles coupled to nonstandard (2+1)-gravity
[1] is extended to include Abelian or non-Abelian charges coupled to
Chern-Simons gauge fields. Equivalently, the model may be viewed as describing
the (Abelian or non-Abelian) anyonic dynamics of Chern-Simons particles
coupled, in a reparametrization invariant way, to a translational Chern-Simons
action. The quantum two-body problem is described by a nonstandard
Schr\"{o}dinger equation with a noninteger angular momentum depending on energy
as well as particle charges. Some numerical results describing the modification
of the energy levels by these charges in the confined regime are presented. The
modification involves a shift as well as splitting of the levels.
|
[
{
"created": "Thu, 23 Nov 2000 16:25:58 GMT",
"version": "v1"
}
] |
2009-01-07
|
[
[
"Lukierski",
"J.",
"",
"Wroclaw, Poland"
],
[
"Stichel",
"P. C.",
"",
"Bielefeld, Germany"
],
[
"Zakrzewski",
"W. J.",
"",
"Durham, UK"
]
] |
The model of nonrelativistic particles coupled to nonstandard (2+1)-gravity [1] is extended to include Abelian or non-Abelian charges coupled to Chern-Simons gauge fields. Equivalently, the model may be viewed as describing the (Abelian or non-Abelian) anyonic dynamics of Chern-Simons particles coupled, in a reparametrization invariant way, to a translational Chern-Simons action. The quantum two-body problem is described by a nonstandard Schr\"{o}dinger equation with a noninteger angular momentum depending on energy as well as particle charges. Some numerical results describing the modification of the energy levels by these charges in the confined regime are presented. The modification involves a shift as well as splitting of the levels.
| 9.629682
| 8.366981
| 9.674595
| 8.359374
| 9.087916
| 8.744914
| 8.890203
| 8.49563
| 8.699582
| 9.701134
| 8.507808
| 8.602086
| 9.669502
| 8.66543
| 8.927978
| 8.934594
| 8.792994
| 8.635834
| 8.966864
| 9.175717
| 9.054052
|
2008.02190
|
Eric Perlmutter
|
Justin Kaidi, Eric Perlmutter
|
Discreteness and Integrality in Conformal Field Theory
|
76 pages; v3: references added, minor changes
| null |
10.1007/JHEP02(2021)064
|
CALT-TH 2020-033
|
hep-th math.QA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Various observables in compact CFTs are required to obey positivity,
discreteness, and integrality. Positivity forms the crux of the conformal
bootstrap, but understanding of the abstract implications of discreteness and
integrality for the space of CFTs is lacking. We systematically study these
constraints in two-dimensional, non-holomorphic CFTs, making use of two main
mathematical results. First, we prove a theorem constraining the behavior near
the cusp of integral, vector-valued modular functions. Second, we explicitly
construct non-factorizable, non-holomorphic cuspidal functions satisfying
discreteness and integrality, and prove the non-existence of such functions
once positivity is added. Application of these results yields several
bootstrap-type bounds on OPE data of both rational and irrational CFTs,
including some powerful bounds for theories with conformal manifolds, as well
as insights into questions of spectral determinacy. We prove that in rational
CFT, the spectrum of operator twists $t\geq {c \over 12}$ is uniquely
determined by its complement. Likewise, we argue that in generic CFTs, the
spectrum of operator dimensions $\Delta > {c-1\over 12}$ is uniquely determined
by its complement, absent fine-tuning in a sense we articulate. Finally, we
discuss implications for black hole physics and the (non-)uniqueness of a
possible ensemble interpretation of AdS$_3$ gravity.
|
[
{
"created": "Wed, 5 Aug 2020 15:38:15 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Aug 2020 16:33:00 GMT",
"version": "v2"
},
{
"created": "Fri, 23 Oct 2020 00:38:36 GMT",
"version": "v3"
}
] |
2021-02-24
|
[
[
"Kaidi",
"Justin",
""
],
[
"Perlmutter",
"Eric",
""
]
] |
Various observables in compact CFTs are required to obey positivity, discreteness, and integrality. Positivity forms the crux of the conformal bootstrap, but understanding of the abstract implications of discreteness and integrality for the space of CFTs is lacking. We systematically study these constraints in two-dimensional, non-holomorphic CFTs, making use of two main mathematical results. First, we prove a theorem constraining the behavior near the cusp of integral, vector-valued modular functions. Second, we explicitly construct non-factorizable, non-holomorphic cuspidal functions satisfying discreteness and integrality, and prove the non-existence of such functions once positivity is added. Application of these results yields several bootstrap-type bounds on OPE data of both rational and irrational CFTs, including some powerful bounds for theories with conformal manifolds, as well as insights into questions of spectral determinacy. We prove that in rational CFT, the spectrum of operator twists $t\geq {c \over 12}$ is uniquely determined by its complement. Likewise, we argue that in generic CFTs, the spectrum of operator dimensions $\Delta > {c-1\over 12}$ is uniquely determined by its complement, absent fine-tuning in a sense we articulate. Finally, we discuss implications for black hole physics and the (non-)uniqueness of a possible ensemble interpretation of AdS$_3$ gravity.
| 9.174099
| 10.099375
| 10.453892
| 9.303084
| 10.040145
| 9.673803
| 9.64957
| 9.012687
| 9.363164
| 11.195817
| 8.98466
| 9.191768
| 9.48672
| 9.359907
| 9.358498
| 9.221154
| 9.371572
| 9.243765
| 9.04756
| 9.788636
| 9.076609
|
1912.04581
|
Toshihide Shibasaki
|
Masaki Honda, Toshihide Shibasaki
|
Wilson-line Scalar as a Nambu-Goldstone Boson in Flux Compactifications
and Higher-loop Corrections
|
16 pages, 5 figures, version published in JHEP
|
JHEP 03 (2020) 031
|
10.1007/JHEP03(2020)031
|
WU-HEP-19-09
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study a scalar zero mode originated from extradimensional components of a
gauge field in a six-dimensional theory compactified on a magnetized torus. We
confirm it is a Nambu-Goldstone boson of the translational symmetry on the
torus which is breaking spontaneously due to magnetic flux. We also show
explicitly it is massless up to the two-loop level. Moreover, we discuss full
order contributions by considering the effective potential.
|
[
{
"created": "Tue, 10 Dec 2019 08:56:15 GMT",
"version": "v1"
},
{
"created": "Sun, 8 Mar 2020 05:57:46 GMT",
"version": "v2"
}
] |
2020-03-10
|
[
[
"Honda",
"Masaki",
""
],
[
"Shibasaki",
"Toshihide",
""
]
] |
We study a scalar zero mode originated from extradimensional components of a gauge field in a six-dimensional theory compactified on a magnetized torus. We confirm it is a Nambu-Goldstone boson of the translational symmetry on the torus which is breaking spontaneously due to magnetic flux. We also show explicitly it is massless up to the two-loop level. Moreover, we discuss full order contributions by considering the effective potential.
| 11.6214
| 10.794271
| 10.635374
| 10.076122
| 10.814732
| 10.106635
| 10.350978
| 10.865983
| 9.658867
| 10.07857
| 10.900434
| 10.492124
| 10.468758
| 10.124151
| 10.483204
| 10.289153
| 10.238928
| 10.423897
| 10.411473
| 10.534451
| 10.268474
|
hep-th/0311110
|
Kasper Peeters
|
Kasper Peeters and Marija Zamaklar
|
Anti-de-Sitter vacua require fermionic brane charges
|
10 pages
|
Phys.Rev. D69 (2004) 066009
|
10.1103/PhysRevD.69.066009
|
AEI-2003-092
|
hep-th
| null |
We argue that a modification of the super-AdS algebras which accounts for the
presence of D-branes requires not only the inclusion of bosonic brane charges,
but also the inclusion of new fermionic ones. We show that such fermionic brane
charges are indeed present in the matrix model and the supermembrane in the
pp-wave limit of the corresponding backgrounds. We briefly comment on an AdS
version of Sezgin's M-algebra inspired by this observation.
|
[
{
"created": "Thu, 13 Nov 2003 15:07:09 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Peeters",
"Kasper",
""
],
[
"Zamaklar",
"Marija",
""
]
] |
We argue that a modification of the super-AdS algebras which accounts for the presence of D-branes requires not only the inclusion of bosonic brane charges, but also the inclusion of new fermionic ones. We show that such fermionic brane charges are indeed present in the matrix model and the supermembrane in the pp-wave limit of the corresponding backgrounds. We briefly comment on an AdS version of Sezgin's M-algebra inspired by this observation.
| 10.764258
| 8.952705
| 11.328954
| 9.333225
| 9.44469
| 9.674724
| 9.724944
| 8.853188
| 9.051423
| 11.223492
| 8.805964
| 9.114858
| 10.04725
| 9.214323
| 9.161405
| 8.746539
| 8.970998
| 8.699864
| 8.957033
| 10.517512
| 9.126581
|
hep-th/0608063
|
Alberto Mariotti
|
A. Amariti, L. Girardello, A. Mariotti
|
Non-supersymmetric Meta-Stable vacua in SU(N) SQCD with adjoint matter
|
14 pages, 2 figures
|
JHEP0612:058,2006
|
10.1088/1126-6708/2006/12/058
| null |
hep-th
| null |
We investigate models of SU(N) SQCD with adjoint matter and non trivial
mesonic deformations. We apply standard methods in the dual magnetic theory and
we find meta-stable supersymmetry breaking vacua with arbitrary large lifetime.
We comment on the difference with known models.
|
[
{
"created": "Wed, 9 Aug 2006 19:50:40 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Amariti",
"A.",
""
],
[
"Girardello",
"L.",
""
],
[
"Mariotti",
"A.",
""
]
] |
We investigate models of SU(N) SQCD with adjoint matter and non trivial mesonic deformations. We apply standard methods in the dual magnetic theory and we find meta-stable supersymmetry breaking vacua with arbitrary large lifetime. We comment on the difference with known models.
| 17.54423
| 12.240344
| 16.961834
| 13.88361
| 14.590447
| 13.789126
| 14.129787
| 13.752569
| 15.211876
| 18.601896
| 14.491079
| 14.372176
| 16.585825
| 14.916155
| 15.354035
| 15.582409
| 14.092312
| 15.087139
| 15.181847
| 17.425406
| 15.375484
|
hep-th/0410061
|
Sugumi Kanno
|
Sugumi Kanno, Jiro Soda
|
On the Validity of a Factorizable Metric Ansatz in String Cosmology
|
5 pages, Typos corrected. Published version
|
Phys.Rev. D71 (2005) 044031
|
10.1103/PhysRevD.71.044031
|
KUNS-1936
|
hep-th gr-qc
| null |
To support the validity of a factorizable metric ansatz used in string
cosmology, we investigate a toy problem in RSI model. For this purpose, we
revise the gradient expansion method to conform to the factorizable metric
ansatz. By solving the 5-dimensional equations of motion and substituting the
results into the action, we obtain the 4-dimensional effective action. It turns
out that the resultant action is equivalent to that obtained by assuming the
factorizable metric ansatz. Our analysis gives the support of the validity of
the factorizable metric ansatz.
|
[
{
"created": "Wed, 6 Oct 2004 10:23:17 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Apr 2005 08:36:10 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Kanno",
"Sugumi",
""
],
[
"Soda",
"Jiro",
""
]
] |
To support the validity of a factorizable metric ansatz used in string cosmology, we investigate a toy problem in RSI model. For this purpose, we revise the gradient expansion method to conform to the factorizable metric ansatz. By solving the 5-dimensional equations of motion and substituting the results into the action, we obtain the 4-dimensional effective action. It turns out that the resultant action is equivalent to that obtained by assuming the factorizable metric ansatz. Our analysis gives the support of the validity of the factorizable metric ansatz.
| 9.37942
| 8.21925
| 8.842419
| 8.158587
| 8.172597
| 8.282815
| 7.601016
| 8.273273
| 7.694934
| 8.590418
| 8.76852
| 7.69709
| 8.479749
| 7.978851
| 7.927246
| 7.688893
| 7.570832
| 7.704864
| 8.323759
| 8.436039
| 8.072251
|
1203.0303
|
Christopher Beem
|
Ibrahima Bah, Christopher Beem, Nikolay Bobev, Brian Wecht
|
Four-Dimensional SCFTs from M5-Branes
|
45 pages, 11 figures
|
JHEP 06 (2012) 005
|
10.1007/JHEP06(2012)005
|
MCTP-12-05; QMUL-PH-12-05
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We engineer a large new set of four-dimensional N=1 superconformal field
theories by wrapping M5-branes on complex curves. We present new supersymmetric
AdS_5 M-theory backgrounds which describe these fixed points at large N, and
then directly construct the dual four-dimensional CFTs for a certain subset of
these solutions. Additionally, we provide a direct check of the central charges
of these theories by using the M5-brane anomaly polynomial. This is a companion
paper which elaborates upon results reported in arXiv:1112:5487.
|
[
{
"created": "Thu, 1 Mar 2012 21:00:01 GMT",
"version": "v1"
}
] |
2012-06-05
|
[
[
"Bah",
"Ibrahima",
""
],
[
"Beem",
"Christopher",
""
],
[
"Bobev",
"Nikolay",
""
],
[
"Wecht",
"Brian",
""
]
] |
We engineer a large new set of four-dimensional N=1 superconformal field theories by wrapping M5-branes on complex curves. We present new supersymmetric AdS_5 M-theory backgrounds which describe these fixed points at large N, and then directly construct the dual four-dimensional CFTs for a certain subset of these solutions. Additionally, we provide a direct check of the central charges of these theories by using the M5-brane anomaly polynomial. This is a companion paper which elaborates upon results reported in arXiv:1112:5487.
| 10.32353
| 8.204062
| 10.385885
| 8.484642
| 9.062955
| 8.293178
| 8.793592
| 8.019346
| 8.431014
| 10.972354
| 8.187259
| 8.527387
| 9.77125
| 8.599667
| 8.633942
| 8.268209
| 8.640613
| 8.537706
| 8.30248
| 9.856258
| 8.806647
|
0711.4967
|
Dr. H. F. Jones
|
H. F. Jones
|
Equivalent Hamiltonian for Lee Model
|
9 pages, no figures
|
Phys.Rev.D77:065023,2008
|
10.1103/PhysRevD.77.065023
| null |
hep-th
| null |
Using the techniques of quasi-Hermitian quantum mechanics and quantum field
theory we use a similarity transformation to construct an equivalent Hermitian
Hamiltonian for the Lee model. In the field theory confined to the $V/N\theta$
sector it effectively decouples $V$, replacing the three-point interaction of
the original Lee model by an additional mass term for the $V$ particle and a
four-point interaction between $N$ and $\theta$. While the construction is
originally motivated by the regime where the bare coupling becomes imaginary,
leading to a ghost, it applies equally to the standard Hermitian regime where
the bare coupling is real. In that case the similarity transformation becomes a
unitary transformation.
|
[
{
"created": "Fri, 30 Nov 2007 16:15:59 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Jones",
"H. F.",
""
]
] |
Using the techniques of quasi-Hermitian quantum mechanics and quantum field theory we use a similarity transformation to construct an equivalent Hermitian Hamiltonian for the Lee model. In the field theory confined to the $V/N\theta$ sector it effectively decouples $V$, replacing the three-point interaction of the original Lee model by an additional mass term for the $V$ particle and a four-point interaction between $N$ and $\theta$. While the construction is originally motivated by the regime where the bare coupling becomes imaginary, leading to a ghost, it applies equally to the standard Hermitian regime where the bare coupling is real. In that case the similarity transformation becomes a unitary transformation.
| 11.220565
| 10.765817
| 11.514062
| 10.466527
| 11.765631
| 11.584649
| 11.300917
| 11.401128
| 10.553122
| 12.488097
| 10.833769
| 10.739968
| 10.592525
| 10.09034
| 10.713823
| 11.026133
| 10.802674
| 10.234139
| 10.63863
| 10.151923
| 10.192095
|
2206.03509
|
Clifford V. Johnson
|
Clifford V. Johnson
|
Wigner meets 't Hooft near the black hole horizon
|
A quick read at 10 double-spaced pages (plus bibliography). Essay
written for the Gravity Research Foundation 2022 Awards for Essays on
Gravitation. (Honorable Mention awarded.)
| null |
10.1142/S0218271822420032
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recent work on Euclidean quantum gravity, black hole thermodynamics, and the
holographic principle has seen the return of random matrix models as a powerful
tool. It is explained how they allow for the study of the physics well beyond
the perturbative expansion. In fact, a fully non-perturbative treatment
naturally unites the familiar approach of summing over smooth geometries of all
topologies with the statistical approach to characterizing the typical
properties of a Hamiltonian. Remarkably, this leads to an explicit excavation
of the underlying microstates of quantum gravity that has applications to the
low temperature dynamics of a large class of black holes.
|
[
{
"created": "Tue, 7 Jun 2022 18:00:04 GMT",
"version": "v1"
}
] |
2022-12-07
|
[
[
"Johnson",
"Clifford V.",
""
]
] |
Recent work on Euclidean quantum gravity, black hole thermodynamics, and the holographic principle has seen the return of random matrix models as a powerful tool. It is explained how they allow for the study of the physics well beyond the perturbative expansion. In fact, a fully non-perturbative treatment naturally unites the familiar approach of summing over smooth geometries of all topologies with the statistical approach to characterizing the typical properties of a Hamiltonian. Remarkably, this leads to an explicit excavation of the underlying microstates of quantum gravity that has applications to the low temperature dynamics of a large class of black holes.
| 13.962844
| 13.272698
| 13.648776
| 12.350367
| 13.406746
| 13.019344
| 13.810853
| 13.62382
| 12.372128
| 14.131044
| 13.472692
| 13.03818
| 13.72509
| 13.097856
| 13.403648
| 13.760962
| 12.86995
| 13.322803
| 13.218894
| 13.771058
| 13.219872
|
hep-th/9511026
|
Ashoke Sen
|
Ashoke Sen
|
U-duality and Intersecting D-branes
|
LaTeX file, 7 pages
|
Phys.Rev.D53:2874-2894,1996
|
10.1103/PhysRevD.53.2874
|
MRI-PHY/27/95
|
hep-th
| null |
Spectrum of elementary string states in type II string theory compactified on
a torus contains short multiplets which are invariant under only one quarter of
the space-time supersymmetry generators. $U$-duality transformation converts
these states into bound states of Dirichlet branes which wrap around
intersecting cycles of the internal torus. We study a class of these bound
states that are dual to the elementary string states at the first excited
level, and argue that the degeneracy of these bound states is in agreement with
the $U$-duality prediction.
|
[
{
"created": "Sat, 4 Nov 1995 15:32:47 GMT",
"version": "v1"
}
] |
2009-09-15
|
[
[
"Sen",
"Ashoke",
""
]
] |
Spectrum of elementary string states in type II string theory compactified on a torus contains short multiplets which are invariant under only one quarter of the space-time supersymmetry generators. $U$-duality transformation converts these states into bound states of Dirichlet branes which wrap around intersecting cycles of the internal torus. We study a class of these bound states that are dual to the elementary string states at the first excited level, and argue that the degeneracy of these bound states is in agreement with the $U$-duality prediction.
| 8.328658
| 6.291317
| 8.36722
| 6.392444
| 7.30767
| 6.070464
| 6.581537
| 5.824617
| 6.289688
| 10.937366
| 6.574827
| 6.793849
| 7.375499
| 6.874967
| 7.348549
| 6.716934
| 6.829923
| 6.835923
| 7.023518
| 7.75507
| 7.355395
|
2007.07892
|
Ben Heidenreich
|
Ben Heidenreich and Tom Rudelius
|
Infinite Distance and Zero Gauge Coupling in 5d Supergravity
|
6 pages
| null |
10.1103/PhysRevD.104.106016
|
ACFI-T20-08
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note, we prove that for all five-dimensional supergravities arising
from M-theory compactified on a Calabi-Yau threefold, points of vanishing gauge
coupling lie at infinite distance in the moduli space. Conversely, any point at
infinite distance in the vector multiplet moduli space is a point of vanishing
gauge coupling. This agrees with expectations from the Tower/Sublattice Weak
Gravity Conjecture, the Swampland Distance Conjecture, and the Emergence
Proposal.
|
[
{
"created": "Wed, 15 Jul 2020 18:00:00 GMT",
"version": "v1"
}
] |
2021-12-08
|
[
[
"Heidenreich",
"Ben",
""
],
[
"Rudelius",
"Tom",
""
]
] |
In this note, we prove that for all five-dimensional supergravities arising from M-theory compactified on a Calabi-Yau threefold, points of vanishing gauge coupling lie at infinite distance in the moduli space. Conversely, any point at infinite distance in the vector multiplet moduli space is a point of vanishing gauge coupling. This agrees with expectations from the Tower/Sublattice Weak Gravity Conjecture, the Swampland Distance Conjecture, and the Emergence Proposal.
| 6.321338
| 4.794323
| 7.117146
| 4.994767
| 5.317989
| 4.949538
| 5.272137
| 4.771407
| 4.891201
| 8.31612
| 5.130314
| 5.341603
| 6.008812
| 5.733722
| 5.479604
| 5.603059
| 5.601104
| 5.688123
| 5.624788
| 6.007904
| 5.728572
|
1005.3848
|
Gonzalo A. Palma
|
Ana Ach\'ucarro, Jinn-Ouk Gong, Sjoerd Hardeman, Gonzalo A. Palma and
Subodh P. Patil
|
Mass hierarchies and non-decoupling in multi-scalar field dynamics
|
16 pages, 2 figures, typeset in PRD style. v2: Minor changes
throughout to emphasize that the analysis also applies to sharp and/or
prolonged turns. References added
|
Phys.Rev.D84:043502,2011
|
10.1103/PhysRevD.84.043502
|
CPHT-RR 039.0510,LPTENS-10/20
|
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we study the effects of field space curvature on scalar field
perturbations around an arbitrary background field trajectory evolving in time.
Non-trivial imprints of the 'heavy' directions on the low energy dynamics arise
when the vacuum manifold of the potential does not coincide with the span of
geodesics defined by the sigma model metric of the full theory. When the
kinetic energy is small compared to the potential energy, the field traverses a
curve close to the vacuum manifold of the potential. The curvature of the path
followed by the fields can still have a profound influence on the perturbations
as modes parallel to the trajectory mix with those normal to it if the
trajectory turns sharply enough. We analyze the dynamical mixing between these
non-decoupled degrees of freedom and deduce its non-trivial contribution to the
low energy effective theory for the light modes. We also discuss the
consequences of this mixing for various scenarios where multiple scalar fields
play a vital role, such as inflation and low-energy compactifications of string
theory.
|
[
{
"created": "Thu, 20 May 2010 21:59:18 GMT",
"version": "v1"
},
{
"created": "Wed, 25 May 2011 21:11:33 GMT",
"version": "v2"
}
] |
2011-08-10
|
[
[
"Achúcarro",
"Ana",
""
],
[
"Gong",
"Jinn-Ouk",
""
],
[
"Hardeman",
"Sjoerd",
""
],
[
"Palma",
"Gonzalo A.",
""
],
[
"Patil",
"Subodh P.",
""
]
] |
In this work we study the effects of field space curvature on scalar field perturbations around an arbitrary background field trajectory evolving in time. Non-trivial imprints of the 'heavy' directions on the low energy dynamics arise when the vacuum manifold of the potential does not coincide with the span of geodesics defined by the sigma model metric of the full theory. When the kinetic energy is small compared to the potential energy, the field traverses a curve close to the vacuum manifold of the potential. The curvature of the path followed by the fields can still have a profound influence on the perturbations as modes parallel to the trajectory mix with those normal to it if the trajectory turns sharply enough. We analyze the dynamical mixing between these non-decoupled degrees of freedom and deduce its non-trivial contribution to the low energy effective theory for the light modes. We also discuss the consequences of this mixing for various scenarios where multiple scalar fields play a vital role, such as inflation and low-energy compactifications of string theory.
| 11.88005
| 12.626789
| 12.331568
| 11.309998
| 12.404222
| 11.834608
| 11.925534
| 12.193348
| 12.096978
| 12.723473
| 11.304935
| 11.165278
| 11.434647
| 11.084708
| 11.336761
| 11.116999
| 11.122402
| 11.262263
| 10.783172
| 11.547474
| 10.821161
|
hep-th/0012184
|
Kluson Josef
|
J. Kluson
|
Matrix model and noncommutative Chern-Simons theory
|
10 pages, corrected some typos and reference added, to be published
in Phys. Lett. B
|
Phys.Lett. B505 (2001) 243-248
|
10.1016/S0370-2693(01)00337-9
| null |
hep-th
| null |
In this short paper we would like to present a simple topological matrix
model which has close relation with the noncommutative Chern-Simons theory.
|
[
{
"created": "Wed, 20 Dec 2000 07:49:21 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Mar 2001 07:30:37 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Kluson",
"J.",
""
]
] |
In this short paper we would like to present a simple topological matrix model which has close relation with the noncommutative Chern-Simons theory.
| 10.18385
| 5.871359
| 8.489912
| 6.351406
| 5.734101
| 6.135636
| 6.196589
| 6.210743
| 6.589209
| 7.870278
| 6.654101
| 6.54004
| 8.590873
| 7.111316
| 6.500654
| 6.608617
| 6.368815
| 6.834181
| 6.832278
| 8.597805
| 6.807168
|
1004.0745
|
Hyun Seok Yang
|
Jungjai Lee and Hyun Seok Yang
|
Quantum Gravity from Noncommutative Spacetime
|
97 pages, to be published in J. Korean Phys. Soc
|
J. Korean Phys. Soc. 65 (2014) 1754-1798
|
10.3938/jkps.65.1754
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review a novel and authentic way to quantize gravity. This novel approach
is based on the fact that Einstein gravity can be formulated in terms of a
symplectic geometry rather than a Riemannian geometry in the context of
emergent gravity. An essential step for emergent gravity is to realize the
equivalence principle, the most important property in the theory of gravity
(general relativity), from U(1) gauge theory on a symplectic or Poisson
manifold. Through the realization of the equivalence principle, which is an
intrinsic property in symplectic geometry known as the Darboux theorem or the
Moser lemma, one can understand how diffeomorphism symmetry arises from
noncommutative U(1) gauge theory; thus, gravity can emerge from the
noncommutative electromagnetism, which is also an interacting theory. As a
consequence, a background-independent quantum gravity in which the prior
existence of any spacetime structure is not a priori assumed but is defined by
using the fundamental ingredients in quantum gravity theory can be formulated.
This scheme for quantum gravity can be used to resolve many notorious problems
in theoretical physics, such as the cosmological constant problem, to
understand the nature of dark energy, and to explain why gravity is so weak
compared to other forces. In particular, it leads to a remarkable picture of
what matter is. A matter field, such as leptons and quarks, simply arises as a
stable localized geometry, which is a topological object in the defining
algebra (noncommutative $\star$-algebra) of quantum gravity.
|
[
{
"created": "Tue, 6 Apr 2010 01:08:18 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Aug 2010 16:28:53 GMT",
"version": "v2"
},
{
"created": "Tue, 31 Aug 2010 07:46:46 GMT",
"version": "v3"
},
{
"created": "Tue, 25 Nov 2014 14:28:22 GMT",
"version": "v4"
}
] |
2014-12-30
|
[
[
"Lee",
"Jungjai",
""
],
[
"Yang",
"Hyun Seok",
""
]
] |
We review a novel and authentic way to quantize gravity. This novel approach is based on the fact that Einstein gravity can be formulated in terms of a symplectic geometry rather than a Riemannian geometry in the context of emergent gravity. An essential step for emergent gravity is to realize the equivalence principle, the most important property in the theory of gravity (general relativity), from U(1) gauge theory on a symplectic or Poisson manifold. Through the realization of the equivalence principle, which is an intrinsic property in symplectic geometry known as the Darboux theorem or the Moser lemma, one can understand how diffeomorphism symmetry arises from noncommutative U(1) gauge theory; thus, gravity can emerge from the noncommutative electromagnetism, which is also an interacting theory. As a consequence, a background-independent quantum gravity in which the prior existence of any spacetime structure is not a priori assumed but is defined by using the fundamental ingredients in quantum gravity theory can be formulated. This scheme for quantum gravity can be used to resolve many notorious problems in theoretical physics, such as the cosmological constant problem, to understand the nature of dark energy, and to explain why gravity is so weak compared to other forces. In particular, it leads to a remarkable picture of what matter is. A matter field, such as leptons and quarks, simply arises as a stable localized geometry, which is a topological object in the defining algebra (noncommutative $\star$-algebra) of quantum gravity.
| 6.944469
| 7.731419
| 7.669166
| 7.34661
| 7.702798
| 7.646608
| 7.695929
| 7.671223
| 7.788441
| 8.151589
| 7.253274
| 6.96761
| 7.272371
| 7.052507
| 7.112179
| 7.113147
| 6.99773
| 7.133485
| 7.058239
| 7.181715
| 7.022304
|
1906.00467
|
Christian Ferko
|
Chih-Kai Chang, Christian Ferko, Savdeep Sethi, Alessandro Sfondrini,
Gabriele Tartaglino-Mazzucchelli
|
$T\bar{T}$ Flows and (2,2) Supersymmetry
|
39 pages
|
Phys. Rev. D 101, 026008 (2020)
|
10.1103/PhysRevD.101.026008
|
EFI-19-5
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct a solvable deformation of two-dimensional theories with $(2,2)$
supersymmetry using an irrelevant operator which is a bilinear in the
supercurrents. This supercurrent-squared operator is manifestly supersymmetric,
and equivalent to $T\bar{T}$ after using conservation laws. As illustrative
examples, we deform theories involving a single $(2,2)$ chiral superfield. We
show that the deformed free theory is on-shell equivalent to the $(2,2)$
Nambu-Goto action. At the classical level, models with a superpotential exhibit
more surprising behavior: the deformed theory exhibits poles in the physical
potential which modify the vacuum structure. This suggests that irrelevant
deformations of $T\overline{T}$ type might also affect infrared physics.
|
[
{
"created": "Sun, 2 Jun 2019 18:38:41 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Jul 2019 13:07:19 GMT",
"version": "v2"
},
{
"created": "Thu, 5 Dec 2019 23:00:46 GMT",
"version": "v3"
}
] |
2020-01-15
|
[
[
"Chang",
"Chih-Kai",
""
],
[
"Ferko",
"Christian",
""
],
[
"Sethi",
"Savdeep",
""
],
[
"Sfondrini",
"Alessandro",
""
],
[
"Tartaglino-Mazzucchelli",
"Gabriele",
""
]
] |
We construct a solvable deformation of two-dimensional theories with $(2,2)$ supersymmetry using an irrelevant operator which is a bilinear in the supercurrents. This supercurrent-squared operator is manifestly supersymmetric, and equivalent to $T\bar{T}$ after using conservation laws. As illustrative examples, we deform theories involving a single $(2,2)$ chiral superfield. We show that the deformed free theory is on-shell equivalent to the $(2,2)$ Nambu-Goto action. At the classical level, models with a superpotential exhibit more surprising behavior: the deformed theory exhibits poles in the physical potential which modify the vacuum structure. This suggests that irrelevant deformations of $T\overline{T}$ type might also affect infrared physics.
| 9.092111
| 9.065749
| 10.695355
| 8.696919
| 9.387029
| 9.392384
| 9.243676
| 8.673214
| 8.685374
| 11.721571
| 8.603022
| 8.868062
| 10.083476
| 8.702514
| 8.523459
| 8.944522
| 8.659606
| 8.83162
| 8.573241
| 9.592935
| 8.486215
|
2112.14089
|
Vinay Malvimat
|
Vinay Malvimat, Rohan R. Poojary
|
Fast Scrambling due to Rotating Shockwaves in BTZ
|
28 pages, 1 figure
| null |
10.1103/PhysRevD.105.126019
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the perturbation due to rotating shockwaves in BTZ geometries at
late times and analyse the change in Mutual Information between the two
subsystems belonging to the dual CFT$_L$ and CFT$_R$. We find that the
scrambling of Mutual Information is in general governed by the Lyapunov index
$\lambda_L$ which is bounded by
$\kappa=\frac{2\pi}{\beta(1-\mu\mathcal{L})}\geq \frac{2\pi}{\beta}$ where
$\mu=r_-/r_+$ and $\mathcal{L}$ is the angular momentum of the shockwave. For
the special case of $\mathcal{L}$=$1$ we find the Mutual Information
analytically and show that it is characterized by $\lambda_L=\kappa/2$ with the
scrambling time for large black holes given as
$t_*=\frac{\beta(1-\mu)}{\pi}\log S$.
|
[
{
"created": "Tue, 28 Dec 2021 11:00:26 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Mar 2022 11:47:52 GMT",
"version": "v2"
},
{
"created": "Sun, 3 Jul 2022 14:59:06 GMT",
"version": "v3"
}
] |
2022-07-13
|
[
[
"Malvimat",
"Vinay",
""
],
[
"Poojary",
"Rohan R.",
""
]
] |
We study the perturbation due to rotating shockwaves in BTZ geometries at late times and analyse the change in Mutual Information between the two subsystems belonging to the dual CFT$_L$ and CFT$_R$. We find that the scrambling of Mutual Information is in general governed by the Lyapunov index $\lambda_L$ which is bounded by $\kappa=\frac{2\pi}{\beta(1-\mu\mathcal{L})}\geq \frac{2\pi}{\beta}$ where $\mu=r_-/r_+$ and $\mathcal{L}$ is the angular momentum of the shockwave. For the special case of $\mathcal{L}$=$1$ we find the Mutual Information analytically and show that it is characterized by $\lambda_L=\kappa/2$ with the scrambling time for large black holes given as $t_*=\frac{\beta(1-\mu)}{\pi}\log S$.
| 7.046306
| 6.757659
| 7.703642
| 6.148564
| 5.981718
| 5.933771
| 6.061774
| 5.983679
| 6.020528
| 8.088655
| 6.017807
| 6.335217
| 6.953821
| 6.613358
| 6.348768
| 6.433081
| 6.358611
| 6.746067
| 6.587775
| 6.984371
| 6.523938
|
1508.03367
|
Stefano Kovacs
|
Stefano Kovacs, Yuki Sato and Hidehiko Shimada
|
On membrane interactions and a three-dimensional analog of Riemann
surfaces
|
64 pages, 17 figures. V2: An appendix, a figure and references added;
various minor changes and improvements
| null |
10.1007/JHEP02(2016)050
|
DIAS-STP-15-05, WITS-MITP-018, OIQP-15-4
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Membranes in M-theory are expected to interact via splitting and joining
processes. We study these effects in the pp-wave matrix model, in which they
are associated with transitions between states in sectors built on vacua with
different numbers of membranes. Transition amplitudes between such states
receive contributions from BPS instanton configurations interpolating between
the different vacua. Various properties of the moduli space of BPS instantons
are known, but there are very few known examples of explicit solutions. We
present a new approach to the construction of instanton solutions interpolating
between states containing arbitrary numbers of membranes, based on a continuum
approximation valid for matrices of large size. The proposed scheme uses
functions on a two-dimensional space to approximate matrices and it relies on
the same ideas behind the matrix regularisation of membrane degrees of freedom
in M-theory. We show that the BPS instanton equations have a continuum
counterpart which can be mapped to the three-dimensional Laplace equation
through a sequence of changes of variables. A description of configurations
corresponding to membrane splitting/joining processes can be given in terms of
solutions to the Laplace equation in a three-dimensional analog of a Riemann
surface, consisting of multiple copies of R^3 connected via a generalisation of
branch cuts. We discuss various general features of our proposal and we also
present explicit analytic solutions.
|
[
{
"created": "Thu, 13 Aug 2015 21:43:39 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Oct 2015 21:47:47 GMT",
"version": "v2"
}
] |
2016-03-23
|
[
[
"Kovacs",
"Stefano",
""
],
[
"Sato",
"Yuki",
""
],
[
"Shimada",
"Hidehiko",
""
]
] |
Membranes in M-theory are expected to interact via splitting and joining processes. We study these effects in the pp-wave matrix model, in which they are associated with transitions between states in sectors built on vacua with different numbers of membranes. Transition amplitudes between such states receive contributions from BPS instanton configurations interpolating between the different vacua. Various properties of the moduli space of BPS instantons are known, but there are very few known examples of explicit solutions. We present a new approach to the construction of instanton solutions interpolating between states containing arbitrary numbers of membranes, based on a continuum approximation valid for matrices of large size. The proposed scheme uses functions on a two-dimensional space to approximate matrices and it relies on the same ideas behind the matrix regularisation of membrane degrees of freedom in M-theory. We show that the BPS instanton equations have a continuum counterpart which can be mapped to the three-dimensional Laplace equation through a sequence of changes of variables. A description of configurations corresponding to membrane splitting/joining processes can be given in terms of solutions to the Laplace equation in a three-dimensional analog of a Riemann surface, consisting of multiple copies of R^3 connected via a generalisation of branch cuts. We discuss various general features of our proposal and we also present explicit analytic solutions.
| 8.695406
| 8.846395
| 9.597341
| 8.381612
| 9.214995
| 8.556538
| 9.103337
| 8.62009
| 8.407002
| 9.587609
| 8.256248
| 8.030358
| 8.498412
| 7.948713
| 8.179086
| 8.455657
| 8.16748
| 8.154685
| 8.016124
| 8.480614
| 8.149384
|
0812.3337
|
Davide Campagnari
|
H. Reinhardt, G . Burgio, D. Campagnari, D. Epple, M. Leder, M. Pak,
M. Quandt and W. Schleifenbaum
|
Recent results from the Hamiltonian approach to Yang-Mills theory in
Coulomb gauge
|
5 pages, 7 figures, Talk presented at the 8th Conference Quark
Confinement and the Hadron Spectrum, September 1-6, 2008, Mainz, Germany
|
PoS Confinement8:061,2008
| null |
UNITU-THEP-02-2008
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Within the Hamiltonian approach to Yang-Mills theory in Coulomb gauge the
ghost and gluon propagators are determined from a variational solution of the
Yang-Mills Schroedinger equation showing both gluon and heavy quark
confinement. The continuum results are in good agreement with lattice data. The
ghost form factor is identified as the dielectric function of the Yang--Mills
vacuum and the Gribov-Zwanziger confinement scenario is shown to imply the dual
Meissner effect. The topological susceptibility is calculated.
|
[
{
"created": "Wed, 17 Dec 2008 16:41:03 GMT",
"version": "v1"
}
] |
2009-06-25
|
[
[
"Reinhardt",
"H.",
""
],
[
"Burgio",
"G .",
""
],
[
"Campagnari",
"D.",
""
],
[
"Epple",
"D.",
""
],
[
"Leder",
"M.",
""
],
[
"Pak",
"M.",
""
],
[
"Quandt",
"M.",
""
],
[
"Schleifenbaum",
"W.",
""
]
] |
Within the Hamiltonian approach to Yang-Mills theory in Coulomb gauge the ghost and gluon propagators are determined from a variational solution of the Yang-Mills Schroedinger equation showing both gluon and heavy quark confinement. The continuum results are in good agreement with lattice data. The ghost form factor is identified as the dielectric function of the Yang--Mills vacuum and the Gribov-Zwanziger confinement scenario is shown to imply the dual Meissner effect. The topological susceptibility is calculated.
| 7.618707
| 6.202505
| 7.208601
| 6.29304
| 7.546142
| 6.39045
| 6.402692
| 6.814933
| 6.484519
| 7.664242
| 6.4763
| 6.774434
| 7.046244
| 6.65479
| 7.228382
| 6.915307
| 6.807635
| 6.948576
| 6.617022
| 6.930548
| 6.751007
|
1504.07710
|
Tomoki Nosaka
|
Sanefumi Moriyama and Tomoki Nosaka
|
Superconformal Chern-Simons Partition Functions of Affine D-type Quiver
from Fermi Gas
|
23 pages, 4 figures; v2: section 4.2 added, one figure added
| null |
10.1007/JHEP09(2015)054
|
OCU-PHYS 425, YITP-15-18
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the partition function of the superconformal Chern-Simons
theories with the quiver diagram being the affine D-type Dynkin diagram.
Rewriting the partition function into that of a Fermi gas system, we show that
the perturbative expansions in 1/N are summed up to an Airy function, as in the
ABJM theory or more generally the theories of the affine A-type quiver. As a
corollary, this provides a proof for the previous proposal in the large N
limit. For special values of the Chern-Simons levels, we further identify three
species of the membrane instantons and also conjecture an exact expression of
the overall constant, which corresponds to the constant map in the topological
string theory.
|
[
{
"created": "Wed, 29 Apr 2015 02:56:59 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Jun 2015 03:55:28 GMT",
"version": "v2"
}
] |
2015-10-28
|
[
[
"Moriyama",
"Sanefumi",
""
],
[
"Nosaka",
"Tomoki",
""
]
] |
We consider the partition function of the superconformal Chern-Simons theories with the quiver diagram being the affine D-type Dynkin diagram. Rewriting the partition function into that of a Fermi gas system, we show that the perturbative expansions in 1/N are summed up to an Airy function, as in the ABJM theory or more generally the theories of the affine A-type quiver. As a corollary, this provides a proof for the previous proposal in the large N limit. For special values of the Chern-Simons levels, we further identify three species of the membrane instantons and also conjecture an exact expression of the overall constant, which corresponds to the constant map in the topological string theory.
| 9.121778
| 8.022975
| 11.72627
| 7.994862
| 8.911337
| 7.706942
| 7.876882
| 8.098021
| 7.746776
| 11.503942
| 8.048223
| 8.724637
| 10.008212
| 8.686057
| 9.193017
| 9.097596
| 8.807653
| 9.054107
| 8.747763
| 9.814175
| 8.933183
|
hep-th/9805014
|
Edward Teo
|
Edward Teo
|
Black hole absorption cross-sections and the anti-de Sitter -- conformal
field theory correspondence
|
10 pages, harvmac
|
Phys.Lett. B436 (1998) 269-274
|
10.1016/S0370-2693(98)00849-1
|
DAMTP R98/21
|
hep-th
| null |
Recent work has uncovered a correspondence between theories in anti-de Sitter
space, and those on its boundary. This has important implications for black
holes in string theory which have near-horizon AdS geometries. Using the
effective coupling to the boundary conformal field theory, I compute the
low-energy, s-wave absorption cross-sections for a minimally coupled scalar in
the near-extremal four- and five-dimensional black holes. The results agree
precisely with semi-classical gravity calculations. Agreement for fixed
scalars, and for the BTZ black hole, is also found.
|
[
{
"created": "Mon, 4 May 1998 15:23:22 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Teo",
"Edward",
""
]
] |
Recent work has uncovered a correspondence between theories in anti-de Sitter space, and those on its boundary. This has important implications for black holes in string theory which have near-horizon AdS geometries. Using the effective coupling to the boundary conformal field theory, I compute the low-energy, s-wave absorption cross-sections for a minimally coupled scalar in the near-extremal four- and five-dimensional black holes. The results agree precisely with semi-classical gravity calculations. Agreement for fixed scalars, and for the BTZ black hole, is also found.
| 9.225348
| 7.942757
| 9.246327
| 7.908196
| 7.72651
| 7.672942
| 7.672826
| 7.458424
| 7.731624
| 9.918569
| 8.09468
| 7.754365
| 8.629477
| 7.986603
| 8.232841
| 7.627335
| 7.877465
| 7.6681
| 7.938217
| 8.492707
| 7.942497
|
1310.3122
|
Richard Szabo
|
Georgios Giasemidis, Richard J. Szabo and Miguel Tierz
|
Supersymmetric gauge theories, Coulomb gases and Chern-Simons matrix
models
|
17 pages; v2: reference added
|
Phys. Rev. D 89, 025016 (2014)
|
10.1103/PhysRevD.89.025016
|
EMPG-13-16
|
hep-th cond-mat.stat-mech cond-mat.str-el math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We develop Coulomb gas pictures of strong and weak coupling regimes of
supersymmetric Yang-Mills theory in five and four dimensions. By relating them
to the matrix models that arise in Chern-Simons theory, we compute their free
energies in the large N limit and establish relationships between the
respective gauge theories. We use these correspondences to rederive the N^3
behaviour of the perturbative free energy of supersymmetric gauge theory on
certain toric Sasaki-Einstein five-manifolds, and the one-loop thermal free
energy of N=4 supersymmetric Yang-Mills theory on a spatial three-sphere.
|
[
{
"created": "Fri, 11 Oct 2013 13:43:31 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Oct 2013 01:04:21 GMT",
"version": "v2"
}
] |
2014-02-05
|
[
[
"Giasemidis",
"Georgios",
""
],
[
"Szabo",
"Richard J.",
""
],
[
"Tierz",
"Miguel",
""
]
] |
We develop Coulomb gas pictures of strong and weak coupling regimes of supersymmetric Yang-Mills theory in five and four dimensions. By relating them to the matrix models that arise in Chern-Simons theory, we compute their free energies in the large N limit and establish relationships between the respective gauge theories. We use these correspondences to rederive the N^3 behaviour of the perturbative free energy of supersymmetric gauge theory on certain toric Sasaki-Einstein five-manifolds, and the one-loop thermal free energy of N=4 supersymmetric Yang-Mills theory on a spatial three-sphere.
| 7.747984
| 7.74039
| 8.158702
| 7.049213
| 7.637944
| 7.654848
| 7.264601
| 7.215458
| 7.028343
| 8.861588
| 7.356435
| 7.762498
| 7.816598
| 7.515604
| 7.687294
| 7.782119
| 7.829481
| 7.258779
| 7.230014
| 7.435513
| 7.213435
|
hep-th/0312030
|
M. Hossein Dehghani
|
M. H. Dehghani
|
Magnetic Branes in Gauss-Bonnet Gravity
|
17 pages, No figure, The version to be published in Phys. Rev. D
|
Phys.Rev. D69 (2004) 064024
|
10.1103/PhysRevD.69.064024
| null |
hep-th
| null |
We present two new classes of magnetic brane solutions in
Einstein-Maxwell-Gauss-Bonnet gravity with a negative cosmological constant.
The first class of solutions yields an $(n+1)$-dimensional spacetime with a
longitudinal magnetic field generated by a static magnetic brane. We also
generalize this solution to the case of spinning magnetic branes with one or
more rotation parameters. We find that these solutions have no curvature
singularity and no horizons, but have a conic geometry. In these spacetimes,
when all the rotation parameters are zero, the electric field vanishes, and
therefore the brane has no net electric charge. For the spinning brane, when
one or more rotation parameters are non zero, the brane has a net electric
charge which is proportional to the magnitude of the rotation parameter. The
second class of solutions yields a spacetime with an angular magnetic field.
These solutions have no curvature singularity, no horizon, and no conical
singularity. Again we find that the net electric charge of the branes in these
spacetimes is proportional to the magnitude of the velocity of the brane.
Finally, we use the counterterm method in the Gauss-Bonnet gravity and compute
the conserved quantities of these spacetimes.
|
[
{
"created": "Tue, 2 Dec 2003 15:13:41 GMT",
"version": "v1"
},
{
"created": "Sun, 7 Mar 2004 07:15:38 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Dehghani",
"M. H.",
""
]
] |
We present two new classes of magnetic brane solutions in Einstein-Maxwell-Gauss-Bonnet gravity with a negative cosmological constant. The first class of solutions yields an $(n+1)$-dimensional spacetime with a longitudinal magnetic field generated by a static magnetic brane. We also generalize this solution to the case of spinning magnetic branes with one or more rotation parameters. We find that these solutions have no curvature singularity and no horizons, but have a conic geometry. In these spacetimes, when all the rotation parameters are zero, the electric field vanishes, and therefore the brane has no net electric charge. For the spinning brane, when one or more rotation parameters are non zero, the brane has a net electric charge which is proportional to the magnitude of the rotation parameter. The second class of solutions yields a spacetime with an angular magnetic field. These solutions have no curvature singularity, no horizon, and no conical singularity. Again we find that the net electric charge of the branes in these spacetimes is proportional to the magnitude of the velocity of the brane. Finally, we use the counterterm method in the Gauss-Bonnet gravity and compute the conserved quantities of these spacetimes.
| 4.363445
| 3.146263
| 4.374615
| 3.720497
| 3.804347
| 3.822154
| 3.794716
| 3.451396
| 3.658668
| 4.78919
| 3.625584
| 3.921776
| 4.395528
| 4.157304
| 4.197665
| 4.114747
| 4.20351
| 4.022984
| 4.130501
| 4.368964
| 4.087472
|
hep-th/0404148
|
A. Joel Saavedra
|
Sergio del Campo, Ramon Herrera and Joel Saavedra
|
Open inflationary universes in a brane world cosmology
|
8 pages, 4 Figures, accepted in Physical Review D
|
Phys.Rev. D70 (2004) 023507
|
10.1103/PhysRevD.70.023507
|
GACG-04/07
|
hep-th
| null |
In this paper, we study a type of one-field model for open inflationary
universe models in the context of the brane world models. In the scenario of a
one-bubble universe model, we determine and characterize the existence of the
Coleman-De Lucia instanton, together with the period of inflation after
tunneling has occurred. Our results are compared to those found in the Einstein
theory of Relativistic Models.
|
[
{
"created": "Tue, 20 Apr 2004 14:55:42 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"del Campo",
"Sergio",
""
],
[
"Herrera",
"Ramon",
""
],
[
"Saavedra",
"Joel",
""
]
] |
In this paper, we study a type of one-field model for open inflationary universe models in the context of the brane world models. In the scenario of a one-bubble universe model, we determine and characterize the existence of the Coleman-De Lucia instanton, together with the period of inflation after tunneling has occurred. Our results are compared to those found in the Einstein theory of Relativistic Models.
| 15.941453
| 14.924475
| 9.880141
| 11.088524
| 11.760489
| 10.835309
| 15.473624
| 12.376224
| 14.470398
| 15.541025
| 15.415813
| 14.598597
| 12.99002
| 12.630461
| 13.204908
| 13.289558
| 14.853879
| 13.485746
| 14.394152
| 14.877036
| 13.860723
|
2302.06469
|
Pulkit Agarwal
|
Pulkit Agarwal, Richard C. Brower, Timothy G. Raben, and Chung-I Tan
|
Embedding Space Approach to Lorentzian CFT Amplitudes and Causal
Spherical Functions
|
65 pages, 8 figures; Note added at the end of Introduction, updated
references, corrected typos, added appendix B5
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Conformal Field Theory in a Minkowski setting is discussed in an embedding
space approach, paying special attention to causality constraints for
four-point amplitudes. The physics of dilatation and Lorentz boost is
emphasized in specifying the non-compact Maximal Abelian subgroup (MASG) of
$SO(d,2)$. Reduction of a Conformal Field Theory (CFT) four-point amplitudes as
functions of cross ratios is shown to be equivalent to enforcing $H$
bi-invariance, i.e., $F(hgh')=F(g)$, with $g\in SO(d,2)$ and $H$ an appropriate
subgroup. Causality is imposed by introducing appropriate semigroups. Causal
zonal spherical functions are constructed, making contact with Minkowski
conformal blocks introduced previously.
|
[
{
"created": "Mon, 13 Feb 2023 15:45:29 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Mar 2023 05:47:29 GMT",
"version": "v2"
}
] |
2023-03-20
|
[
[
"Agarwal",
"Pulkit",
""
],
[
"Brower",
"Richard C.",
""
],
[
"Raben",
"Timothy G.",
""
],
[
"Tan",
"Chung-I",
""
]
] |
Conformal Field Theory in a Minkowski setting is discussed in an embedding space approach, paying special attention to causality constraints for four-point amplitudes. The physics of dilatation and Lorentz boost is emphasized in specifying the non-compact Maximal Abelian subgroup (MASG) of $SO(d,2)$. Reduction of a Conformal Field Theory (CFT) four-point amplitudes as functions of cross ratios is shown to be equivalent to enforcing $H$ bi-invariance, i.e., $F(hgh')=F(g)$, with $g\in SO(d,2)$ and $H$ an appropriate subgroup. Causality is imposed by introducing appropriate semigroups. Causal zonal spherical functions are constructed, making contact with Minkowski conformal blocks introduced previously.
| 12.875997
| 13.57626
| 12.482552
| 12.500691
| 12.084918
| 12.275754
| 13.540797
| 13.125903
| 11.885908
| 14.183433
| 11.853355
| 11.290804
| 11.811834
| 11.481859
| 11.562739
| 11.380699
| 11.847278
| 10.921543
| 11.375792
| 12.297112
| 11.681411
|
0708.1701
|
Sven Faller
|
Sven Faller
|
Effective Field Theory of Gravity: Leading Quantum Gravitational
Corrections to Newtons and Coulombs Law
|
14 pages, 12 figures
|
Phys.Rev.D77:124039,2008
|
10.1103/PhysRevD.77.124039
|
SI-HEP-2007-13
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we consider general relativity and its combination with scalar
quantum electrodynamics (QED) as an effective quantum field theory at energies
well below the Planck scale. This enables us to compute the one-loop quantum
corrections to the Newton and Coulomb potential induced by the combination of
graviton and photon fluctuations. We derive the relevant Feynman rules and
compute the nonanalytical contributions to the one-loop scattering matrix for
charged scalars in the nonrelativistic limit. In particular, we derive the
post-Newtonian corrections of order $Gm/\text c^2 r$ from general relativity
and the genuine quantum corrections of order $G\hbar/\text c^3 r^2$.
|
[
{
"created": "Mon, 13 Aug 2007 12:22:01 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Oct 2007 09:35:52 GMT",
"version": "v2"
},
{
"created": "Thu, 19 Jun 2008 07:40:37 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Faller",
"Sven",
""
]
] |
In this paper we consider general relativity and its combination with scalar quantum electrodynamics (QED) as an effective quantum field theory at energies well below the Planck scale. This enables us to compute the one-loop quantum corrections to the Newton and Coulomb potential induced by the combination of graviton and photon fluctuations. We derive the relevant Feynman rules and compute the nonanalytical contributions to the one-loop scattering matrix for charged scalars in the nonrelativistic limit. In particular, we derive the post-Newtonian corrections of order $Gm/\text c^2 r$ from general relativity and the genuine quantum corrections of order $G\hbar/\text c^3 r^2$.
| 6.198653
| 6.915417
| 6.322076
| 5.666757
| 6.061129
| 6.665298
| 7.004431
| 5.991609
| 5.89654
| 7.075611
| 6.253284
| 5.965102
| 6.061913
| 5.85304
| 6.03573
| 5.853364
| 6.158799
| 5.770236
| 6.003031
| 6.103973
| 6.130388
|
1505.03850
|
Thomas T. Dumitrescu
|
Clay Cordova, Thomas T. Dumitrescu, Xi Yin
|
Higher Derivative Terms, Toroidal Compactification, and Weyl Anomalies
in Six-Dimensional (2,0) Theories
|
48 pages + appendix, 3 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We systematically analyze the effective action on the moduli space of (2,0)
superconformal field theories in six dimensions, as well as their toroidal
compactification to maximally supersymmetric Yang-Mills theories in five and
four dimensions. We present a streamlined approach to non-renormalization
theorems that constrain this effective action. The first several orders in its
derivative expansion are determined by a one-loop calculation in
five-dimensional Yang-Mills theory. This fixes the leading higher-derivative
operators that describe the renormalization group flow into theories residing
at singular points on the moduli space of the compactified (2,0) theories. This
understanding allows us to compute the a-type Weyl anomaly for all (2,0)
superconformal theories. We show that it decreases along every renormalization
group flow that preserves (2,0) supersymmetry, thereby establishing the
a-theorem for this class of theories. Along the way, we encounter various
field-theoretic arguments for the ADE classification of (2,0) theories.
|
[
{
"created": "Thu, 14 May 2015 19:44:16 GMT",
"version": "v1"
}
] |
2015-05-15
|
[
[
"Cordova",
"Clay",
""
],
[
"Dumitrescu",
"Thomas T.",
""
],
[
"Yin",
"Xi",
""
]
] |
We systematically analyze the effective action on the moduli space of (2,0) superconformal field theories in six dimensions, as well as their toroidal compactification to maximally supersymmetric Yang-Mills theories in five and four dimensions. We present a streamlined approach to non-renormalization theorems that constrain this effective action. The first several orders in its derivative expansion are determined by a one-loop calculation in five-dimensional Yang-Mills theory. This fixes the leading higher-derivative operators that describe the renormalization group flow into theories residing at singular points on the moduli space of the compactified (2,0) theories. This understanding allows us to compute the a-type Weyl anomaly for all (2,0) superconformal theories. We show that it decreases along every renormalization group flow that preserves (2,0) supersymmetry, thereby establishing the a-theorem for this class of theories. Along the way, we encounter various field-theoretic arguments for the ADE classification of (2,0) theories.
| 6.337353
| 5.860641
| 7.079051
| 5.659161
| 5.407154
| 5.567427
| 5.634815
| 5.775373
| 5.655534
| 7.333299
| 5.77138
| 5.946036
| 6.198837
| 5.769867
| 5.915979
| 5.795766
| 5.87375
| 5.980973
| 5.784565
| 6.282838
| 5.802293
|
hep-th/0605265
|
Ishwaree Neupane
|
Ishwaree P Neupane
|
Towards Inflation and Accelerating Cosmologies in String-Generated
Gravity Models
|
8 pages, 3 figures; Based on a Talk given at the XL Rencontre de
Moriond
| null | null | null |
hep-th astro-ph gr-qc
| null |
The string $\alpha^\prime$-correction to the usual Einstein action comprises
a Gauss-Bonnet integrand multiplied by non-trivial functions of the modulus
field $\chi$ and/or the dilaton field $\phi$. We discuss how the presence of
such terms in the four dimensional effective action can explain several novel
phenomena, such as a four-dimensional flat Friedmann-Robertson-Walker universe
undergoing a cosmic inflation at the early epoch, as well as a cosmic
acceleration at late times. The model predicts, during inflation, spectra of
both density perturbations and gravitational waves that may fall well within
the experimental bounds. The model therefore provides a unified approach for
explaining the early and late time accelerating phases of the universe.
|
[
{
"created": "Mon, 29 May 2006 08:06:13 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Neupane",
"Ishwaree P",
""
]
] |
The string $\alpha^\prime$-correction to the usual Einstein action comprises a Gauss-Bonnet integrand multiplied by non-trivial functions of the modulus field $\chi$ and/or the dilaton field $\phi$. We discuss how the presence of such terms in the four dimensional effective action can explain several novel phenomena, such as a four-dimensional flat Friedmann-Robertson-Walker universe undergoing a cosmic inflation at the early epoch, as well as a cosmic acceleration at late times. The model predicts, during inflation, spectra of both density perturbations and gravitational waves that may fall well within the experimental bounds. The model therefore provides a unified approach for explaining the early and late time accelerating phases of the universe.
| 10.491407
| 9.724504
| 9.850278
| 9.436686
| 9.347897
| 9.654681
| 9.612722
| 9.799197
| 9.533642
| 10.533022
| 9.568393
| 9.390823
| 9.020839
| 9.00405
| 9.140139
| 9.326443
| 9.180453
| 8.965167
| 8.964099
| 9.587868
| 9.114259
|
1211.4512
|
Changrim Ahn
|
Changrim Ahn, Diego Bombardelli
|
Exact S-matrices for AdS_3/CFT_2
|
14 pages, 4 figures
| null |
10.1142/S0217751X13501686
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose exact $S$-matrices for the AdS_3/CFT_2 duality between Type IIB
strings on AdS_3 x S^3 x M_4 with M_4=S^3 x S^1 or T^4 and the corresponding
two-dimensional conformal field theories. We fix the complete two-particle
S-matrices for both those cases of AdS_3/CFT_2, on the basis of the symmetries
su(1|1) and su(1|1) x su(1|1), respectively preserved by their vacua. A crucial
justification comes from the derivation of the all-loop Bethe ansatz matching
exactly the recent conjecture proposed by [1] and [2].
|
[
{
"created": "Mon, 19 Nov 2012 17:28:56 GMT",
"version": "v1"
}
] |
2015-06-12
|
[
[
"Ahn",
"Changrim",
""
],
[
"Bombardelli",
"Diego",
""
]
] |
We propose exact $S$-matrices for the AdS_3/CFT_2 duality between Type IIB strings on AdS_3 x S^3 x M_4 with M_4=S^3 x S^1 or T^4 and the corresponding two-dimensional conformal field theories. We fix the complete two-particle S-matrices for both those cases of AdS_3/CFT_2, on the basis of the symmetries su(1|1) and su(1|1) x su(1|1), respectively preserved by their vacua. A crucial justification comes from the derivation of the all-loop Bethe ansatz matching exactly the recent conjecture proposed by [1] and [2].
| 6.477843
| 5.968403
| 7.814116
| 5.761755
| 5.760172
| 5.958963
| 5.864171
| 5.304264
| 6.109084
| 8.495389
| 5.8003
| 6.183633
| 6.73441
| 5.753627
| 5.68624
| 5.631916
| 5.737631
| 5.73245
| 5.721721
| 6.756088
| 5.858356
|
hep-th/0504168
|
Jerome Martin
|
Philippe Brax and Jerome Martin
|
Shift Symmetry and Inflation in Supergravity
|
29 pages, 13 figures
|
Phys.Rev. D72 (2005) 023518
|
10.1103/PhysRevD.72.023518
| null |
hep-th astro-ph gr-qc hep-ph
| null |
We consider models of inflation in supergravity with a shift symmetry. We
focus on models with one moduli and one inflaton field. The presence of this
symmetry guarantees the existence of a flat direction for the inflaton field.
Mildly breaking the shift symmetry using a superpotential which depends not
only on the moduli but also on the inflaton field allows one to lift the
inflaton flat direction. Along the inflaton direction, the eta-problem is
alleviated. Combining the KKLT mechanism for moduli stabilization and a shift
symmetry breaking superpotential of the chaotic inflation type, we find models
reminiscent of ``mutated hybrid inflation'' where the inflationary trajectory
is curved in the moduli--inflaton plane. We analyze the phenomenology of these
models and stress their differences with both chaotic and hybrid inflation.
|
[
{
"created": "Wed, 20 Apr 2005 12:53:43 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Brax",
"Philippe",
""
],
[
"Martin",
"Jerome",
""
]
] |
We consider models of inflation in supergravity with a shift symmetry. We focus on models with one moduli and one inflaton field. The presence of this symmetry guarantees the existence of a flat direction for the inflaton field. Mildly breaking the shift symmetry using a superpotential which depends not only on the moduli but also on the inflaton field allows one to lift the inflaton flat direction. Along the inflaton direction, the eta-problem is alleviated. Combining the KKLT mechanism for moduli stabilization and a shift symmetry breaking superpotential of the chaotic inflation type, we find models reminiscent of ``mutated hybrid inflation'' where the inflationary trajectory is curved in the moduli--inflaton plane. We analyze the phenomenology of these models and stress their differences with both chaotic and hybrid inflation.
| 7.716696
| 8.831078
| 8.057737
| 7.797556
| 7.939451
| 8.389327
| 7.7771
| 7.828275
| 7.856993
| 8.679096
| 7.67319
| 7.64793
| 7.551255
| 7.46664
| 7.246678
| 7.319068
| 7.293797
| 7.547594
| 7.309874
| 7.447114
| 7.326374
|
hep-th/9704177
|
Christophe Grojean
|
E. Dudas and C. Grojean
|
Four-dimensional M-theory and supersymmetry breaking
|
23 pages, LaTex, 1 figure
|
Nucl.Phys.B507:553-570,1997
|
10.1016/S0550-3213(97)00590-7
|
CERN-TH/97-79, LPTHE_ORSAY 97/17, Saclay T97/038
|
hep-th hep-ph
| null |
We investigate compactifications of M-theory from $11\to 5\to 4$ dimensions
and discuss geometrical properties of 4-d moduli fields related to the
structure of 5-d theory. We study supersymmetry breaking by compactification of
the fifth dimension and find that an universal superpotential is generated for
the axion-dilaton superfield $S$. The resulting theory has a vacuum with
$<S>=1$, zero cosmological constant and a gravitino mass depending on the fifth
radius as $m_{3/2} \sim R_5^{-2}/M_{Pl}$. We discuss phenomenological aspects
of this scenario, mainly the string unification and the decompactification
problem.
|
[
{
"created": "Thu, 24 Apr 1997 21:32:37 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Dudas",
"E.",
""
],
[
"Grojean",
"C.",
""
]
] |
We investigate compactifications of M-theory from $11\to 5\to 4$ dimensions and discuss geometrical properties of 4-d moduli fields related to the structure of 5-d theory. We study supersymmetry breaking by compactification of the fifth dimension and find that an universal superpotential is generated for the axion-dilaton superfield $S$. The resulting theory has a vacuum with $<S>=1$, zero cosmological constant and a gravitino mass depending on the fifth radius as $m_{3/2} \sim R_5^{-2}/M_{Pl}$. We discuss phenomenological aspects of this scenario, mainly the string unification and the decompactification problem.
| 8.159721
| 7.214869
| 8.093064
| 7.38555
| 8.113386
| 7.523399
| 8.34127
| 8.012656
| 7.284939
| 8.75478
| 7.533414
| 7.577331
| 7.697041
| 7.51979
| 7.97522
| 7.635688
| 7.785437
| 7.780874
| 7.717824
| 7.931393
| 7.453681
|
hep-th/0104156
|
Dieter Luest H.
|
Gabriel Lopes Cardoso, Gianguido Dall'Agata, Dieter Lust
|
Curved BPS domain wall solutions in five-dimensional gauged supergravity
|
13 pages, latex, error corrected plus substantial revision (title
changed)
|
JHEP 0107:026,2001
|
10.1088/1126-6708/2001/07/026
|
HU-EP-01/17
|
hep-th
| null |
We analyze the possibility of constructing supersymmetric curved domain wall
solutions in five-dimensional ${\cal N}=2$ gauged supergravity, which are
supported by non-constant scalar fields belonging either to vector multiplets
only or to vector and hypermultiplets. We show that the BPS equations for the
warp factor and for the vector scalars are modified by the presence of a
four-dimensional cosmological constant on the domain wall, in agreement with
earlier results by DeWolfe, Freedman, Gubser and Karch. We also show that the
cosmological constant on the domain wall is anti-de Sitter like and that it
constitutes an independent quantity, not related to any of the objects
appearing in the context of very special geometry.
|
[
{
"created": "Wed, 18 Apr 2001 14:50:29 GMT",
"version": "v1"
},
{
"created": "Fri, 18 May 2001 14:03:23 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Cardoso",
"Gabriel Lopes",
""
],
[
"Dall'Agata",
"Gianguido",
""
],
[
"Lust",
"Dieter",
""
]
] |
We analyze the possibility of constructing supersymmetric curved domain wall solutions in five-dimensional ${\cal N}=2$ gauged supergravity, which are supported by non-constant scalar fields belonging either to vector multiplets only or to vector and hypermultiplets. We show that the BPS equations for the warp factor and for the vector scalars are modified by the presence of a four-dimensional cosmological constant on the domain wall, in agreement with earlier results by DeWolfe, Freedman, Gubser and Karch. We also show that the cosmological constant on the domain wall is anti-de Sitter like and that it constitutes an independent quantity, not related to any of the objects appearing in the context of very special geometry.
| 6.375842
| 6.26964
| 7.30359
| 5.974713
| 6.401832
| 6.116026
| 5.890121
| 5.79437
| 6.126721
| 8.187589
| 6.016803
| 6.047108
| 6.486197
| 6.156499
| 6.335291
| 6.369683
| 5.996945
| 5.887084
| 6.061131
| 6.905052
| 6.172774
|
hep-th/9310148
|
Robert Coquereaux
|
R. Coquereaux, R. Haussling, F. Scheck
|
Algebraic connections on parallel universes
|
10 pages, CPT-93/PE 2947
|
Int.J.Mod.Phys. A10 (1995) 89-98
|
10.1142/S0217751X95000048
| null |
hep-th
| null |
For any manifold $M$, we introduce a $\ZZ $-graded differential algebra
$\Xi$, which, in particular, is a bi-module over the associative algebra
$C(M\cup M)$. We then introduce the corresponding covariant differentials and
show how this construction can be interpreted in terms of Yang-Mills and Higgs
fields. This is a particular example of noncommutative geometry. It differs
from the prescription of Connes in the following way: The definition of $\Xi$
does not rely on a given Dirac-Yukawa operator acting on a space of spinors.
|
[
{
"created": "Fri, 22 Oct 1993 08:15:35 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Coquereaux",
"R.",
""
],
[
"Haussling",
"R.",
""
],
[
"Scheck",
"F.",
""
]
] |
For any manifold $M$, we introduce a $\ZZ $-graded differential algebra $\Xi$, which, in particular, is a bi-module over the associative algebra $C(M\cup M)$. We then introduce the corresponding covariant differentials and show how this construction can be interpreted in terms of Yang-Mills and Higgs fields. This is a particular example of noncommutative geometry. It differs from the prescription of Connes in the following way: The definition of $\Xi$ does not rely on a given Dirac-Yukawa operator acting on a space of spinors.
| 11.699818
| 10.936477
| 11.929106
| 10.174177
| 10.362168
| 11.820426
| 10.801072
| 10.360666
| 10.160367
| 14.563093
| 10.269789
| 9.883616
| 10.363781
| 10.389196
| 9.871926
| 10.067221
| 10.256455
| 10.480033
| 10.404766
| 10.940303
| 10.171094
|
1711.09104
|
Oliver Schlotterer
|
Carlos R. Mafra and Oliver Schlotterer
|
Double-Copy Structure of One-Loop Open-String Amplitudes
|
5 pages, v2: modifications in the structure to match published
version
|
Phys. Rev. Lett. 121, 011601 (2018)
|
10.1103/PhysRevLett.121.011601
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this Letter, we provide evidence for a new double-copy structure in
one-loop amplitudes of the open superstring. Their integrands with respect to
the moduli space of genus-one surfaces are cast into a form where
gauge-invariant kinematic factors and certain functions of the punctures --
so-called generalized elliptic integrands -- enter on completely symmetric
footing. In particular, replacing the generalized elliptic integrands by a
second copy of kinematic factors maps one-loop open-string correlators to
gravitational matrix elements of the higher-curvature operator R^4.
|
[
{
"created": "Fri, 24 Nov 2017 19:00:15 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Jun 2018 16:28:04 GMT",
"version": "v2"
}
] |
2018-07-11
|
[
[
"Mafra",
"Carlos R.",
""
],
[
"Schlotterer",
"Oliver",
""
]
] |
In this Letter, we provide evidence for a new double-copy structure in one-loop amplitudes of the open superstring. Their integrands with respect to the moduli space of genus-one surfaces are cast into a form where gauge-invariant kinematic factors and certain functions of the punctures -- so-called generalized elliptic integrands -- enter on completely symmetric footing. In particular, replacing the generalized elliptic integrands by a second copy of kinematic factors maps one-loop open-string correlators to gravitational matrix elements of the higher-curvature operator R^4.
| 13.102709
| 11.661575
| 13.212079
| 11.71167
| 12.094357
| 14.047067
| 12.009844
| 11.406754
| 11.217726
| 14.491845
| 10.601167
| 11.920279
| 12.279384
| 11.905466
| 12.160623
| 11.444956
| 11.752772
| 11.961775
| 11.997748
| 12.196354
| 11.802949
|
1105.3577
|
Matteo Beccaria
|
Matteo Beccaria, Guido Macorini, CarloAlberto Ratti
|
Wrapping corrections, reciprocity and BFKL beyond the sl(2) subsector in
N=4 SYM
|
18 pages
|
JHEP 1106:071,2011
|
10.1007/JHEP06(2011)071
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider N=4 SYM and a class of spin N, length-3, twist operators beyond
the well studied sl(2) subsector. They can be identified at one-loop with three
gluon operators. At strong coupling, they are associated with spinning strings
with two spins in AdS5. We exploit the Y-system to compute the leading
weak-coupling four loop wrapping correction to their anomalous dimension. The
result is written in closed form as a function of the spin N. We combine the
wrapping correction with the known four-loop asymptotic Bethe Ansatz
contribution and analyze special limits in the spin N. In particular, at large
N, we prove that a generalized Gribov-Lipatov reciprocity holds. At negative
unphysical spin, we present a simple BFKL-like equation predicting the
rightmost leading poles.
|
[
{
"created": "Wed, 18 May 2011 09:59:24 GMT",
"version": "v1"
}
] |
2011-06-20
|
[
[
"Beccaria",
"Matteo",
""
],
[
"Macorini",
"Guido",
""
],
[
"Ratti",
"CarloAlberto",
""
]
] |
We consider N=4 SYM and a class of spin N, length-3, twist operators beyond the well studied sl(2) subsector. They can be identified at one-loop with three gluon operators. At strong coupling, they are associated with spinning strings with two spins in AdS5. We exploit the Y-system to compute the leading weak-coupling four loop wrapping correction to their anomalous dimension. The result is written in closed form as a function of the spin N. We combine the wrapping correction with the known four-loop asymptotic Bethe Ansatz contribution and analyze special limits in the spin N. In particular, at large N, we prove that a generalized Gribov-Lipatov reciprocity holds. At negative unphysical spin, we present a simple BFKL-like equation predicting the rightmost leading poles.
| 14.145081
| 8.737988
| 15.702694
| 11.218874
| 14.314476
| 13.433744
| 12.134067
| 9.941819
| 11.316031
| 17.418224
| 11.137175
| 12.233254
| 14.483379
| 12.53072
| 13.141443
| 13.230705
| 13.384332
| 12.907948
| 12.740194
| 14.321605
| 13.21172
|
hep-th/9506001
|
Keith Dienes
|
Keith R. Dienes (IAS, Princeton), Moshe Moshe (Technion), Robert C.
Myers (McGill)
|
SUPERTRACES IN STRING THEORY
|
6 pages, LaTeX, one encapsulated figure
| null | null |
IASSNS-HEP-95/42; McGill/95-28 (June 1995)
|
hep-th
| null |
We demonstrate that the spectrum of any consistent string theory in $D$
dimensions must satisfy a number of supertrace constraints: $ Str~M^{2n}=0 $
for $0 \leq n < D/2-1$, integer $n$. These results hold for a large class of
string theories, including critical heterotic strings. For strings lacking
spacetime supersymmetry, these supertrace constraints will be satisfied as a
consequence of a hidden ``misaligned supersymmetry'' in the string spectrum.
[Talk given by R.C.M. at Strings '95; to appear in Proceedings]
|
[
{
"created": "Thu, 1 Jun 1995 06:14:38 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Dienes",
"Keith R.",
"",
"IAS, Princeton"
],
[
"Moshe",
"Moshe",
"",
"Technion"
],
[
"Myers",
"Robert C.",
"",
"McGill"
]
] |
We demonstrate that the spectrum of any consistent string theory in $D$ dimensions must satisfy a number of supertrace constraints: $ Str~M^{2n}=0 $ for $0 \leq n < D/2-1$, integer $n$. These results hold for a large class of string theories, including critical heterotic strings. For strings lacking spacetime supersymmetry, these supertrace constraints will be satisfied as a consequence of a hidden ``misaligned supersymmetry'' in the string spectrum. [Talk given by R.C.M. at Strings '95; to appear in Proceedings]
| 10.14514
| 8.694228
| 9.059304
| 8.074947
| 9.274178
| 8.458483
| 8.692447
| 9.201751
| 9.051014
| 10.867278
| 8.534509
| 8.952994
| 9.316413
| 8.866451
| 8.757366
| 9.161177
| 8.819709
| 8.88306
| 8.443891
| 9.156015
| 8.718211
|
1310.0206
|
S. Prem Kumar
|
Anton F. Faedo, Benjo Fraser, and S. Prem Kumar
|
Supersymmetric Lifshitz-like backgrounds from N=4 SYM with heavy quark
density
|
24 pages, 2 figures, references added, version published in JHEP,
Feb. 2014
|
JHEP 1402 (2014) 066
|
10.1007/JHEP02(2014)066
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We examine a class of gravity backgrounds obtained by considering the
backreaction of a spatially uniform density of mutually BPS Wilson lines or
heavy quarks in N=4 SUSY Yang-Mills theory. The configurations preserve eight
supercharges and an SO(5) subgroup of the SO(6) R-symmetry. They are obtained
by considering the 1/4-BPS geometries associated to smeared string/D3-brane
(F1-D3) intersections. We argue that for the (partially) localized
intersection, the geometry exhibits a flow from AdS_5 x S^5 in the UV to a
novel IR scaling solution displaying anisotropic Lifshitz-like scaling with
dynamical critical exponent z=7, hyperscaling violation and a logarithmic
running dilaton. We also obtain a two-parameter family of smeared 1/4-BPS
solutions on the Coulomb branch of N=4 SYM exhibiting Lifshitz scaling and
hyperscaling violation. For a certain parametric range these yield IR
geometries which are conformal to AdS_2 x R^3, and which have been argued to be
relevant for fermionic physics.
|
[
{
"created": "Tue, 1 Oct 2013 09:30:43 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Dec 2014 21:54:20 GMT",
"version": "v2"
}
] |
2014-12-24
|
[
[
"Faedo",
"Anton F.",
""
],
[
"Fraser",
"Benjo",
""
],
[
"Kumar",
"S. Prem",
""
]
] |
We examine a class of gravity backgrounds obtained by considering the backreaction of a spatially uniform density of mutually BPS Wilson lines or heavy quarks in N=4 SUSY Yang-Mills theory. The configurations preserve eight supercharges and an SO(5) subgroup of the SO(6) R-symmetry. They are obtained by considering the 1/4-BPS geometries associated to smeared string/D3-brane (F1-D3) intersections. We argue that for the (partially) localized intersection, the geometry exhibits a flow from AdS_5 x S^5 in the UV to a novel IR scaling solution displaying anisotropic Lifshitz-like scaling with dynamical critical exponent z=7, hyperscaling violation and a logarithmic running dilaton. We also obtain a two-parameter family of smeared 1/4-BPS solutions on the Coulomb branch of N=4 SYM exhibiting Lifshitz scaling and hyperscaling violation. For a certain parametric range these yield IR geometries which are conformal to AdS_2 x R^3, and which have been argued to be relevant for fermionic physics.
| 7.266654
| 6.288559
| 8.49136
| 6.730732
| 6.694046
| 6.563231
| 6.908537
| 6.377018
| 6.581522
| 8.695945
| 6.543997
| 6.690198
| 7.545291
| 7.03058
| 6.918267
| 7.051735
| 6.852269
| 6.82818
| 7.112545
| 7.65968
| 6.809025
|
hep-th/0003050
|
Adi Armoni
|
Carlo Angelantonj (ENS) and Adi Armoni (Ecole Polytechnique)
|
RG Flow, Wilson Loops and the Dilaton Tadpole
|
12 pages, Latex. v2: minor changes, refs. added
|
Phys.Lett. B482 (2000) 329-336
|
10.1016/S0370-2693(00)00475-5
|
CPHT-S004.0300, LPTENS 00/07
|
hep-th hep-ph
| null |
We discuss the role of the dilaton tadpole in the holographic description of
non-supersymmetric gauge theories that are conformal in the planar limit. On
the string theory side, the presence of the dilaton tadpole modifies the AdS
background inducing a logarithmic running for the radius and the dilaton. Using
the holographic prescription we compute the Wilson loop on the gravity side and
find a smooth interpolating potential between asymptotic freedom and
confinement, as expected from field theory.
|
[
{
"created": "Tue, 7 Mar 2000 18:25:13 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Mar 2000 12:58:11 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Angelantonj",
"Carlo",
"",
"ENS"
],
[
"Armoni",
"Adi",
"",
"Ecole Polytechnique"
]
] |
We discuss the role of the dilaton tadpole in the holographic description of non-supersymmetric gauge theories that are conformal in the planar limit. On the string theory side, the presence of the dilaton tadpole modifies the AdS background inducing a logarithmic running for the radius and the dilaton. Using the holographic prescription we compute the Wilson loop on the gravity side and find a smooth interpolating potential between asymptotic freedom and confinement, as expected from field theory.
| 8.325515
| 7.333779
| 8.251923
| 7.195039
| 7.217003
| 7.891887
| 7.786738
| 7.558359
| 7.318942
| 9.194669
| 7.534329
| 7.918904
| 8.587787
| 8.209579
| 7.556217
| 7.508966
| 7.567661
| 7.695321
| 8.085023
| 8.893949
| 7.737701
|
2102.06097
|
Jung Hun Lee
|
Chanyong Park, Jung Hun Lee
|
Quantum correlation in quark-gluon medium
|
18 pages, 2 figures, reference added, minor changes
| null |
10.1007/s40042-022-00669-7
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We study thermodynamics and quantum correlations of the string cloud geometry
whose field theory dual is the quark-gluon medium. We found the novel
universality of the entanglement entropy first law in the high quark density
limit. We also showed that a correlation function generally decreases as the
entanglement entropy of the background medium increases due to the screening
effect of the background. We study the UV and IR effects of the medium on phase
transition behaviour observed in the holographic mutual information using both
perturbative and numerical computations. Moreover, by numerical computation, we
show that in the IR region the critical length obtained from the mutual
information behaves similar to the correlation length of the two-point
function.
|
[
{
"created": "Thu, 11 Feb 2021 16:22:22 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Aug 2022 06:26:58 GMT",
"version": "v2"
}
] |
2022-12-14
|
[
[
"Park",
"Chanyong",
""
],
[
"Lee",
"Jung Hun",
""
]
] |
We study thermodynamics and quantum correlations of the string cloud geometry whose field theory dual is the quark-gluon medium. We found the novel universality of the entanglement entropy first law in the high quark density limit. We also showed that a correlation function generally decreases as the entanglement entropy of the background medium increases due to the screening effect of the background. We study the UV and IR effects of the medium on phase transition behaviour observed in the holographic mutual information using both perturbative and numerical computations. Moreover, by numerical computation, we show that in the IR region the critical length obtained from the mutual information behaves similar to the correlation length of the two-point function.
| 14.144735
| 12.488797
| 14.874249
| 12.8633
| 12.902231
| 13.933002
| 13.890032
| 12.771873
| 13.03489
| 17.329428
| 13.235962
| 13.423089
| 14.001895
| 13.470329
| 12.836919
| 13.617475
| 13.375677
| 13.070478
| 13.224042
| 13.932346
| 13.107262
|
hep-th/9807187
|
Klaus Behrndt
|
K. Behrndt, A.H. Chamseddine and W.A. Sabra
|
BPS black holes in N=2 five dimensional AdS supergravity
|
8 pages, 1 figure, LaTeX, corrected the potential
|
Phys.Lett. B442 (1998) 97-101
|
10.1016/S0370-2693(98)01208-8
| null |
hep-th gr-qc
| null |
BPS black hole solutions of U(1) gauged five-dimensional supergravity are
obtained by solving the Killing spinor equations. These extremal static black
holes live in an asymptotic AdS_5 space time. Unlike black holes in asymptotic
flat space time none of them possess a regular horizon. We also calculate the
influence, of a particular class of these solutions, on the Wilson loops
calculation.
|
[
{
"created": "Fri, 24 Jul 1998 15:16:34 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Aug 1998 14:26:14 GMT",
"version": "v2"
},
{
"created": "Tue, 18 Aug 1998 15:51:41 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Behrndt",
"K.",
""
],
[
"Chamseddine",
"A. H.",
""
],
[
"Sabra",
"W. A.",
""
]
] |
BPS black hole solutions of U(1) gauged five-dimensional supergravity are obtained by solving the Killing spinor equations. These extremal static black holes live in an asymptotic AdS_5 space time. Unlike black holes in asymptotic flat space time none of them possess a regular horizon. We also calculate the influence, of a particular class of these solutions, on the Wilson loops calculation.
| 11.473179
| 8.833438
| 11.090919
| 8.965877
| 8.679164
| 9.211014
| 8.466307
| 9.642612
| 8.699769
| 12.805958
| 8.838816
| 9.369328
| 9.394348
| 9.230791
| 8.789113
| 9.333127
| 9.106567
| 9.149731
| 9.337235
| 10.381832
| 9.042971
|
1601.04758
|
Stefano Bolognesi
|
Stefano Bolognesi, Eliezer Rabinovici, Gianni Tallarita
|
String pair production in non homogeneous backgrounds
|
36 pages; v3: added comments on perturbative vs. non-perturbative
behaviour
| null |
10.1007/JHEP04(2016)174
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider string pair production in non homogeneous electric backgrounds.
We study several particular configurations which can be addressed with the
Euclidean world-sheet instanton technique, the analogue of the world-line
instanton for particles. In the first case the string is suspended between two
D-branes in flat space-time, in the second case the string lives in AdS and
terminates on one D-brane (this realizes the holographic Schwinger effect). In
some regions of parameter space the result is well approximated by the known
analytical formulas, either the particle pair production in non-homogeneous
background or the string pair production in homogeneous background. In other
cases we see effects which are intrinsically stringy and related to the
non-homogeneity of the background. The pair production is enhanced already for
particles in time dependent electric field backgrounds. The string nature
enhances this even further. For spacial varying electrical background fields
the string pair production is less suppressed than the rate of particle pair
production. We discuss in some detail how the critical field is affected by the
non-homogeneity, for both time and space dependent electric field backgrouds.
We also comment on what could be an interesting new prediction for the small
field limit. The third case we consider is pair production in holographic
confining backgrounds with homogeneous and non-homogeneous fields.
|
[
{
"created": "Mon, 18 Jan 2016 23:39:14 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Jan 2016 16:04:00 GMT",
"version": "v2"
},
{
"created": "Fri, 25 Mar 2016 18:54:16 GMT",
"version": "v3"
}
] |
2016-05-25
|
[
[
"Bolognesi",
"Stefano",
""
],
[
"Rabinovici",
"Eliezer",
""
],
[
"Tallarita",
"Gianni",
""
]
] |
We consider string pair production in non homogeneous electric backgrounds. We study several particular configurations which can be addressed with the Euclidean world-sheet instanton technique, the analogue of the world-line instanton for particles. In the first case the string is suspended between two D-branes in flat space-time, in the second case the string lives in AdS and terminates on one D-brane (this realizes the holographic Schwinger effect). In some regions of parameter space the result is well approximated by the known analytical formulas, either the particle pair production in non-homogeneous background or the string pair production in homogeneous background. In other cases we see effects which are intrinsically stringy and related to the non-homogeneity of the background. The pair production is enhanced already for particles in time dependent electric field backgrounds. The string nature enhances this even further. For spacial varying electrical background fields the string pair production is less suppressed than the rate of particle pair production. We discuss in some detail how the critical field is affected by the non-homogeneity, for both time and space dependent electric field backgrouds. We also comment on what could be an interesting new prediction for the small field limit. The third case we consider is pair production in holographic confining backgrounds with homogeneous and non-homogeneous fields.
| 8.443405
| 9.432255
| 9.330253
| 8.760711
| 9.072426
| 9.175791
| 9.079262
| 8.432702
| 8.270052
| 9.897285
| 8.579371
| 8.191492
| 8.336274
| 8.205668
| 8.215756
| 8.417882
| 8.310021
| 8.153626
| 8.213682
| 8.439555
| 8.085927
|
1402.4691
|
Gianni Tallarita
|
Gianni Tallarita
|
Holographic Lifshitz Superconductors with an Axion Field
|
19 pages, 9 figures
|
Phys. Rev. D 89, 106005 (2014)
|
10.1103/PhysRevD.89.106005
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use a Yang-Mills field coupled to an axion as probes of a black hole with
arbitrary Lifshitz scaling to investigate, via holography, superconducting
phase transitions of the dual theory with a $p_x+ip_y$ condensate. In the
relativistic case with no axion, this phase is known to be unstable, the stable
phase corresponding to condensates of the $p_x$ form. We investigate this
stability in theories with non-relativistic scaling. Finally we numerically
compute the "Hall" conductivity of these black holes in the non superconducting
phase as a function of their Lifshitz scaling.
|
[
{
"created": "Wed, 19 Feb 2014 15:18:06 GMT",
"version": "v1"
}
] |
2014-05-21
|
[
[
"Tallarita",
"Gianni",
""
]
] |
We use a Yang-Mills field coupled to an axion as probes of a black hole with arbitrary Lifshitz scaling to investigate, via holography, superconducting phase transitions of the dual theory with a $p_x+ip_y$ condensate. In the relativistic case with no axion, this phase is known to be unstable, the stable phase corresponding to condensates of the $p_x$ form. We investigate this stability in theories with non-relativistic scaling. Finally we numerically compute the "Hall" conductivity of these black holes in the non superconducting phase as a function of their Lifshitz scaling.
| 11.717271
| 11.919513
| 13.384609
| 10.820145
| 12.099191
| 12.457521
| 11.879015
| 11.746928
| 10.804876
| 14.45839
| 10.757126
| 11.610452
| 12.018106
| 11.170253
| 10.983365
| 10.423219
| 10.963278
| 11.251618
| 10.960057
| 11.44747
| 10.67178
|
hep-th/0610280
|
J. M. Drummond
|
J.M.Drummond, L.Gallot, E.Sokatchev
|
Superconformal Invariants or How to Relate Four-point AdS Amplitudes
|
11 pages
|
Phys.Lett.B645:95-100,2007
|
10.1016/j.physletb.2006.12.015
|
LAPTH-1165/06
|
hep-th
| null |
Using the form of N=2 superconformal invariants we derive the explicit
relation between the bottom and top components of the correlator of four
stress-tensor multiplets in N=4 Super Yang-Mills. The result is given in terms
of an eighth order differential operator acting on the function of two
variables which characterises these correlators. It allows us to show a
non-trivial consistency relation between the known results for the
corresponding supergravity amplitudes on AdS5.
|
[
{
"created": "Thu, 26 Oct 2006 15:30:10 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Drummond",
"J. M.",
""
],
[
"Gallot",
"L.",
""
],
[
"Sokatchev",
"E.",
""
]
] |
Using the form of N=2 superconformal invariants we derive the explicit relation between the bottom and top components of the correlator of four stress-tensor multiplets in N=4 Super Yang-Mills. The result is given in terms of an eighth order differential operator acting on the function of two variables which characterises these correlators. It allows us to show a non-trivial consistency relation between the known results for the corresponding supergravity amplitudes on AdS5.
| 8.298067
| 7.083166
| 8.546095
| 6.964378
| 7.663439
| 7.660701
| 7.932306
| 6.837176
| 7.406862
| 9.321954
| 7.08848
| 7.429574
| 8.483257
| 7.48213
| 7.7076
| 7.587632
| 7.706271
| 7.368126
| 7.271179
| 8.822605
| 7.465576
|
1810.11803
|
K V Pavan Kumar
|
Rishabh Jha, Chethan Krishnan, K.V. Pavan Kumar
|
Massive Scattering Amplitudes in Six Dimensions
|
37 pages; v2: minor improvements, JHEP version
| null |
10.1007/JHEP03(2019)198
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that a natural spinor-helicity formalism that can describe massive
scattering amplitudes exists in $D=6$ dimensions. This is arranged by having
helicity spinors carry an index in the Dirac spinor {\bf 4} of the massive
little group, $SO(5) \sim Sp(4)$. In the high energy limit, two separate kinds
of massless helicity spinors emerge as required for consistency with
arXiv:0902.0981, with indices in the two $SU(2)$'s of the massless little group
$SO(4)$. The tensors of ${\bf 4}$ lead to particles with arbitrary spin, and
using these and demanding consistent factorization, we can fix $3-$ and
$4-$point tree amplitudes of arbitrary masses and spins: we provide examples.
We discuss the high energy limit of scattering amplitudes and the Higgs
mechanism in this language, and make some preliminary observations about
massive BCFW recursion.
|
[
{
"created": "Sun, 28 Oct 2018 12:02:11 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Mar 2019 11:48:15 GMT",
"version": "v2"
}
] |
2019-05-01
|
[
[
"Jha",
"Rishabh",
""
],
[
"Krishnan",
"Chethan",
""
],
[
"Kumar",
"K. V. Pavan",
""
]
] |
We show that a natural spinor-helicity formalism that can describe massive scattering amplitudes exists in $D=6$ dimensions. This is arranged by having helicity spinors carry an index in the Dirac spinor {\bf 4} of the massive little group, $SO(5) \sim Sp(4)$. In the high energy limit, two separate kinds of massless helicity spinors emerge as required for consistency with arXiv:0902.0981, with indices in the two $SU(2)$'s of the massless little group $SO(4)$. The tensors of ${\bf 4}$ lead to particles with arbitrary spin, and using these and demanding consistent factorization, we can fix $3-$ and $4-$point tree amplitudes of arbitrary masses and spins: we provide examples. We discuss the high energy limit of scattering amplitudes and the Higgs mechanism in this language, and make some preliminary observations about massive BCFW recursion.
| 9.852023
| 10.713402
| 10.276417
| 9.734059
| 9.858298
| 10.178728
| 10.491193
| 10.316749
| 10.164434
| 10.937533
| 9.924791
| 9.442236
| 9.609435
| 9.451084
| 9.366178
| 9.537381
| 9.423347
| 9.429628
| 9.489658
| 10.115559
| 9.380818
|
hep-th/0101118
|
Samir Mathur
|
Samir D. Mathur
|
Gravity on $AdS_3$ and flat connections in the boundary CFT
|
35 pages, harvmac, references added
| null | null |
OHSTPY-HEP-T-00-033
|
hep-th
| null |
We consider the CFT that arises from the D1-D5 system in the presence of a
constant background gauge potential which couples to the R-charge of the
theory: this potential effectively changes the periodicities of the fermions.
By the AdS/CFT correspondence, the effect of this connnection should be
obtained by finding a smooth solution to the vector field in AdS space which
couples to the constant mode of the R-current in the CFT. We investigate such
solutions for small values of the connection, and contrast these with
spacetimes which have `Wilson lines for the bulk ' -- spacetimes that are
locally AdS times a sphere but have a global deformation. The latter class are
in general singular spacetimes. We comment on some aspects of the recently
found geometries corresponding to the D1-D5 state with angular momentum,
observing relations between scales in the microscopic theory and scales in the
geometry.
|
[
{
"created": "Wed, 17 Jan 2001 23:12:46 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Jul 2001 18:22:49 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Mathur",
"Samir D.",
""
]
] |
We consider the CFT that arises from the D1-D5 system in the presence of a constant background gauge potential which couples to the R-charge of the theory: this potential effectively changes the periodicities of the fermions. By the AdS/CFT correspondence, the effect of this connnection should be obtained by finding a smooth solution to the vector field in AdS space which couples to the constant mode of the R-current in the CFT. We investigate such solutions for small values of the connection, and contrast these with spacetimes which have `Wilson lines for the bulk ' -- spacetimes that are locally AdS times a sphere but have a global deformation. The latter class are in general singular spacetimes. We comment on some aspects of the recently found geometries corresponding to the D1-D5 state with angular momentum, observing relations between scales in the microscopic theory and scales in the geometry.
| 15.137174
| 16.01383
| 14.84986
| 14.421708
| 16.776934
| 15.786236
| 15.918873
| 14.603832
| 15.377952
| 16.402641
| 15.199097
| 15.629968
| 15.586699
| 14.317924
| 14.191222
| 14.304688
| 15.082108
| 14.609954
| 14.274711
| 14.778144
| 14.262198
|
1504.07985
|
Sean A. Hartnoll
|
Sean A. Hartnoll and Edward Mazenc
|
Entanglement entropy in two dimensional string theory
|
1+15 pages
|
Phys. Rev. Lett. 115, 121602 (2015)
|
10.1103/PhysRevLett.115.121602
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
To understand an emergent spacetime is to understand the emergence of
locality. Entanglement entropy is a powerful diagnostic of locality, because
locality leads to a large amount of short distance entanglement. Two
dimensional string theory is among the very simplest instances of an emergent
spatial dimension. We compute the entanglement entropy in the large $N$ matrix
quantum mechanics dual to two dimensional string theory, in the semiclassical
limit of weak string coupling. We isolate a logarithmically large, but finite,
contribution that corresponds to the short distance entanglement of the tachyon
field in the emergent spacetime. From the spacetime point of view, the
entanglement is regulated by a nonperturbative `graininess' of space.
|
[
{
"created": "Wed, 29 Apr 2015 20:00:25 GMT",
"version": "v1"
}
] |
2015-09-23
|
[
[
"Hartnoll",
"Sean A.",
""
],
[
"Mazenc",
"Edward",
""
]
] |
To understand an emergent spacetime is to understand the emergence of locality. Entanglement entropy is a powerful diagnostic of locality, because locality leads to a large amount of short distance entanglement. Two dimensional string theory is among the very simplest instances of an emergent spatial dimension. We compute the entanglement entropy in the large $N$ matrix quantum mechanics dual to two dimensional string theory, in the semiclassical limit of weak string coupling. We isolate a logarithmically large, but finite, contribution that corresponds to the short distance entanglement of the tachyon field in the emergent spacetime. From the spacetime point of view, the entanglement is regulated by a nonperturbative `graininess' of space.
| 8.395224
| 7.787331
| 8.636437
| 7.732387
| 7.865469
| 8.277606
| 7.505592
| 7.424984
| 7.690356
| 8.731566
| 7.869166
| 7.333436
| 8.107502
| 7.72569
| 7.531648
| 7.689139
| 7.377509
| 7.394779
| 7.528007
| 7.785259
| 7.811313
|
1512.01819
|
Jun Zhang
|
Jaume Garriga, Alexander Vilenkin and Jun Zhang
|
Black holes and the multiverse
|
49 pages, 15 figures, matches version to appear in JCAP
| null |
10.1088/1475-7516/2016/02/064
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Vacuum bubbles may nucleate and expand during the inflationary epoch in the
early universe. After inflation ends, the bubbles quickly dissipate their
kinetic energy; they come to rest with respect to the Hubble flow and
eventually form black holes. The fate of the bubble itself depends on the
resulting black hole mass. If the mass is smaller than a certain critical
value, the bubble collapses to a singularity. Otherwise, the bubble interior
inflates, forming a baby universe, which is connected to the exterior FRW
region by a wormhole. A similar black hole formation mechanism operates for
spherical domain walls nucleating during inflation. As an illustrative example,
we studied the black hole mass spectrum in the domain wall scenario, assuming
that domain walls interact with matter only gravitationally. Our results
indicate that, depending on the model parameters, black holes produced in this
scenario can have significant astrophysical effects and can even serve as dark
matter or as seeds for supermassive black holes. The mechanism of black hole
formation described in this paper is very generic and has important
implications for the global structure of the universe. Baby universes inside
super-critical black holes inflate eternally and nucleate bubbles of all vacua
allowed by the underlying particle physics. The resulting multiverse has a very
non-trivial spacetime structure, with a multitude of eternally inflating
regions connected by wormholes. If a black hole population with the predicted
mass spectrum is discovered, it could be regarded as evidence for inflation and
for the existence of a multiverse.
|
[
{
"created": "Sun, 6 Dec 2015 19:01:39 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Dec 2015 17:14:00 GMT",
"version": "v2"
},
{
"created": "Sun, 20 Dec 2015 22:08:06 GMT",
"version": "v3"
},
{
"created": "Thu, 25 Feb 2016 18:36:50 GMT",
"version": "v4"
}
] |
2016-03-16
|
[
[
"Garriga",
"Jaume",
""
],
[
"Vilenkin",
"Alexander",
""
],
[
"Zhang",
"Jun",
""
]
] |
Vacuum bubbles may nucleate and expand during the inflationary epoch in the early universe. After inflation ends, the bubbles quickly dissipate their kinetic energy; they come to rest with respect to the Hubble flow and eventually form black holes. The fate of the bubble itself depends on the resulting black hole mass. If the mass is smaller than a certain critical value, the bubble collapses to a singularity. Otherwise, the bubble interior inflates, forming a baby universe, which is connected to the exterior FRW region by a wormhole. A similar black hole formation mechanism operates for spherical domain walls nucleating during inflation. As an illustrative example, we studied the black hole mass spectrum in the domain wall scenario, assuming that domain walls interact with matter only gravitationally. Our results indicate that, depending on the model parameters, black holes produced in this scenario can have significant astrophysical effects and can even serve as dark matter or as seeds for supermassive black holes. The mechanism of black hole formation described in this paper is very generic and has important implications for the global structure of the universe. Baby universes inside super-critical black holes inflate eternally and nucleate bubbles of all vacua allowed by the underlying particle physics. The resulting multiverse has a very non-trivial spacetime structure, with a multitude of eternally inflating regions connected by wormholes. If a black hole population with the predicted mass spectrum is discovered, it could be regarded as evidence for inflation and for the existence of a multiverse.
| 6.161797
| 7.11772
| 6.30901
| 6.154836
| 6.520778
| 6.735852
| 6.36844
| 6.042785
| 6.642249
| 5.929118
| 6.268024
| 5.995353
| 5.905863
| 5.793447
| 5.755811
| 5.878554
| 5.890974
| 5.82655
| 5.848692
| 5.924292
| 5.907635
|
hep-th/0609058
|
Margarita Garcia-Perez
|
Margarita Garcia Perez and Antonio Gonzalez-Arroyo
|
Gluino zero-modes for non-trivial holonomy calorons
|
17 pages, 3 Postscript figures, latex
|
JHEP0611:091,2006
|
10.1088/1126-6708/2006/11/091
|
IFT-UAM/CSIC-06-027, FTUAM-2006-15
|
hep-th hep-lat math-ph math.MP
| null |
We couple fermion fields in the adjoint representation (gluinos) to the SU(2)
gauge field of unit charge calorons defined on R^3 x S_1. We compute
corresponding zero-modes of the Dirac equation. These are relevant in
semiclassical studies of N=1 Super-symmetric Yang-Mills theory. Our formulas,
show that, up to a term proportional to the vector potential, the modes can be
constructed by different linear combinations of two contributions adding up to
the total caloron field strength.
|
[
{
"created": "Fri, 8 Sep 2006 10:09:47 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Perez",
"Margarita Garcia",
""
],
[
"Gonzalez-Arroyo",
"Antonio",
""
]
] |
We couple fermion fields in the adjoint representation (gluinos) to the SU(2) gauge field of unit charge calorons defined on R^3 x S_1. We compute corresponding zero-modes of the Dirac equation. These are relevant in semiclassical studies of N=1 Super-symmetric Yang-Mills theory. Our formulas, show that, up to a term proportional to the vector potential, the modes can be constructed by different linear combinations of two contributions adding up to the total caloron field strength.
| 17.454088
| 15.202782
| 17.506445
| 14.704537
| 16.34185
| 17.719179
| 16.441587
| 15.176824
| 14.57883
| 18.869196
| 15.017825
| 16.106621
| 16.248779
| 16.452677
| 16.711369
| 17.407385
| 15.74642
| 17.191391
| 15.626417
| 17.742798
| 15.616459
|
2304.13075
|
Andre LeClair
|
Andr\'e LeClair
|
Comment on the cosmological constant for $\lambda \phi^4$ theory in $d$
spacetime dimensions
|
Only 7 pages, can be viewed as an addendum to our previous article
arXiv:2301.09019, accepted for publication in JHEP; This version accepted for
publication in the journal Universe
|
Universe (2023) 310
|
10.3390/universe9070310
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
In a recent article we showed that the analog of the cosmological constant in
two spacetime dimensions for a wide variety of integrable quantum field
theories has the form $\rho_{\rm vac} = - m^2 /2 \mathfrak{g} $ where $m$ is a
physical mass and $\mathfrak{g} $ is a generalized coupling, where in the free
field limit $\mathfrak{g} \to 0$, $\rho_{\rm vac}$ diverges. We speculated that
in four spacetime dimensions $\rho_{\rm vac} $ takes a similar form $\rho_{\rm
vac} = - m^4/2 \mathfrak{g}$, but did not support this idea in any specific
model. In this article we study this problem for $\lambda \phi^4$ theory in $d$
spacetime dimensions. We show how to obtain the exact $\rho_{\rm vac}$ for the
sinh-Gordon theory in the weak coupling limit by using a saddle point
approximation. This calculation indicates that the cosmological constant can be
well-defined, positive or negative, without spontaneous symmetry breaking. We
also show that $\rho_{\rm vac}$ satisfies a Callan-Symanzik type of
renormalization group equation. For the most interesting case physically,
$\rho_{\rm vac}$ is positive and can arise from a marginally relevant negative
coupling $\mathfrak{g}$ and the cosmological constant flows to zero at low
energies.
|
[
{
"created": "Tue, 25 Apr 2023 18:18:24 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Jun 2023 23:20:47 GMT",
"version": "v2"
}
] |
2024-03-04
|
[
[
"LeClair",
"André",
""
]
] |
In a recent article we showed that the analog of the cosmological constant in two spacetime dimensions for a wide variety of integrable quantum field theories has the form $\rho_{\rm vac} = - m^2 /2 \mathfrak{g} $ where $m$ is a physical mass and $\mathfrak{g} $ is a generalized coupling, where in the free field limit $\mathfrak{g} \to 0$, $\rho_{\rm vac}$ diverges. We speculated that in four spacetime dimensions $\rho_{\rm vac} $ takes a similar form $\rho_{\rm vac} = - m^4/2 \mathfrak{g}$, but did not support this idea in any specific model. In this article we study this problem for $\lambda \phi^4$ theory in $d$ spacetime dimensions. We show how to obtain the exact $\rho_{\rm vac}$ for the sinh-Gordon theory in the weak coupling limit by using a saddle point approximation. This calculation indicates that the cosmological constant can be well-defined, positive or negative, without spontaneous symmetry breaking. We also show that $\rho_{\rm vac}$ satisfies a Callan-Symanzik type of renormalization group equation. For the most interesting case physically, $\rho_{\rm vac}$ is positive and can arise from a marginally relevant negative coupling $\mathfrak{g}$ and the cosmological constant flows to zero at low energies.
| 5.519545
| 5.396212
| 5.392504
| 5.058745
| 5.214969
| 5.416179
| 5.430718
| 5.115043
| 5.193941
| 5.811624
| 5.234091
| 5.373441
| 5.38907
| 5.219023
| 5.226187
| 5.342899
| 5.238161
| 5.198153
| 5.28702
| 5.430208
| 5.336619
|
hep-th/0204136
|
Rajesh Venkatachalapathy
|
Samik Dasgupta (Department of Physics, University of Colorado,
Boulder), Rajesh Venkatachalapathy (Institute of Mathematical Sciences,
CHENNAI, India), S. Kalyana Rama (Institute of Mathematical Sciences,
CHENNAI, India)
|
No Go Theorem for Self Tuning Solutions With Gauss-Bonnet Terms
|
17 pages, 3 figures
|
JHEP 0207 (2002) 061
|
10.1088/1126-6708/2002/07/061
|
IMSc/2002/03/07
|
hep-th
| null |
We consider self tuning solutions for a brane embedded in an anti de Sitter
spacetime. We include the higher derivative Gauss-Bonnet terms in the action
and study singularity free solutions with finite effective Newton's constant.
Using the methods of Csaki et al, we prove that such solutions, when exist,
always require a fine tuning among the brane parameters. We then present a new
method of analysis in which the qualitative features of the solutions can be
seen easily without obtaining the solutions explicitly. Also, the origin of the
fine tuning is transparent in this method.
|
[
{
"created": "Wed, 17 Apr 2002 03:10:56 GMT",
"version": "v1"
},
{
"created": "Sun, 2 Jun 2002 16:30:10 GMT",
"version": "v2"
},
{
"created": "Tue, 4 Jun 2002 04:08:39 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Dasgupta",
"Samik",
"",
"Department of Physics, University of Colorado,\n Boulder"
],
[
"Venkatachalapathy",
"Rajesh",
"",
"Institute of Mathematical Sciences,\n CHENNAI, India"
],
[
"Rama",
"S. Kalyana",
"",
"Institute of Mathematical Sciences,\n CHENNAI, India"
]
] |
We consider self tuning solutions for a brane embedded in an anti de Sitter spacetime. We include the higher derivative Gauss-Bonnet terms in the action and study singularity free solutions with finite effective Newton's constant. Using the methods of Csaki et al, we prove that such solutions, when exist, always require a fine tuning among the brane parameters. We then present a new method of analysis in which the qualitative features of the solutions can be seen easily without obtaining the solutions explicitly. Also, the origin of the fine tuning is transparent in this method.
| 11.084786
| 8.841537
| 9.643081
| 8.240016
| 8.848486
| 8.470641
| 8.630801
| 8.429452
| 8.427909
| 8.801196
| 8.472267
| 8.646279
| 8.908097
| 8.671606
| 9.413412
| 8.890689
| 8.981803
| 8.750727
| 8.943111
| 9.002696
| 9.195374
|
1804.10550
|
Michele Arzano
|
Michele Arzano and Jerzy Kowalski-Glikman
|
Horizon temperature on the real line
|
4 pages, no figures; v2: extensive revision, references updated,
matches published version
|
Physics Letters B 788C (2019) pp. 82-86
|
10.1016/j.physletb.2018.10.019
| null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We illustrate the analogue of the Unruh effect for a quantum system on the
real line. Our derivation relies solely on basic elements of representation
theory of the group of affine transformations without a notion of time or
metric. Our result shows that a thermal distribution naturally emerges in
connecting quantum states belonging to representations associated to distinct
notions of translational symmetry.
|
[
{
"created": "Fri, 27 Apr 2018 15:09:45 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Nov 2018 12:41:36 GMT",
"version": "v2"
}
] |
2018-11-30
|
[
[
"Arzano",
"Michele",
""
],
[
"Kowalski-Glikman",
"Jerzy",
""
]
] |
We illustrate the analogue of the Unruh effect for a quantum system on the real line. Our derivation relies solely on basic elements of representation theory of the group of affine transformations without a notion of time or metric. Our result shows that a thermal distribution naturally emerges in connecting quantum states belonging to representations associated to distinct notions of translational symmetry.
| 21.159264
| 16.964794
| 18.226023
| 17.144623
| 17.482424
| 18.312157
| 19.127357
| 17.689741
| 18.41609
| 19.064987
| 17.47879
| 17.750587
| 17.839251
| 18.241638
| 16.554142
| 18.466305
| 17.686729
| 18.282152
| 17.58128
| 18.143835
| 18.593782
|
hep-th/0108115
|
Matthew Schwartz
|
Lisa Randall and Matthew D. Schwartz
|
Unification and the Hierarchy from AdS5
|
5 pages, 2 figures
|
Phys.Rev.Lett.88:081801,2002
|
10.1103/PhysRevLett.88.081801
|
MIT-CTP 3175
|
hep-th hep-ph
| null |
In AdS5, the coupling for bulk gauge bosons runs logarithmically, not as a
power law. For this reason, one can preserve perturbative unification of
couplings. Depending on the cutoff, this can occur at a high scale. We discuss
subtleties in the calculation and present a regularization scheme motivated by
the holographic correspondence. We find that generically, as in the standard
model, the couplings almost unify. For specific choices of the cutoff and
number of scalar multiplets, there is good agreement between the measured
couplings and the assumption of high scale unification.
|
[
{
"created": "Thu, 16 Aug 2001 20:36:31 GMT",
"version": "v1"
}
] |
2009-09-15
|
[
[
"Randall",
"Lisa",
""
],
[
"Schwartz",
"Matthew D.",
""
]
] |
In AdS5, the coupling for bulk gauge bosons runs logarithmically, not as a power law. For this reason, one can preserve perturbative unification of couplings. Depending on the cutoff, this can occur at a high scale. We discuss subtleties in the calculation and present a regularization scheme motivated by the holographic correspondence. We find that generically, as in the standard model, the couplings almost unify. For specific choices of the cutoff and number of scalar multiplets, there is good agreement between the measured couplings and the assumption of high scale unification.
| 11.252423
| 12.651074
| 11.347775
| 11.082494
| 11.637478
| 11.04396
| 11.295941
| 11.460488
| 11.417253
| 12.300021
| 11.239992
| 10.708018
| 10.913885
| 10.948783
| 10.701733
| 10.299562
| 10.975717
| 10.919981
| 10.445698
| 10.915298
| 10.924546
|
1507.08859
|
Benjamin Knorr
|
Holger Gies, Benjamin Knorr and Stefan Lippoldt
|
Generalized Parametrization Dependence in Quantum Gravity
|
18 pages, 8 figures
|
Phys. Rev. D 92, 084020 (2015)
|
10.1103/PhysRevD.92.084020
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We critically examine the gauge, and field-parametrization dependence of
renormalization group flows in the vicinity of non-Gau\ss{}ian fixed points in
quantum gravity. While physical observables are independent of such
calculational specifications, the construction of quantum gravity field
theories typically relies on off-shell quantities such as $\beta$ functions and
generating functionals and thus face potential stability issues with regard to
such generalized parametrizations. We analyze a two-parameter class of
covariant gauge conditions, the role of momentum-dependent field rescalings and
a class of field parametrizations. Using the product of Newton and cosmological
constant as an indicator, the principle of minimum sensitivity identifies
stationary points in this parametrization space which show a remarkable
insensitivity to the parametrization. In the most insensitive cases, the
quantized gravity system exhibits a non-Gau\ss{}ian UV stable fixed point,
lending further support to asymptotically free quantum gravity. One of the
stationary points facilitates an analytical determination of the quantum
gravity phase diagram and features ultraviolet and infrared complete RG
trajectories with a classical regime.
|
[
{
"created": "Fri, 31 Jul 2015 12:52:50 GMT",
"version": "v1"
}
] |
2015-10-14
|
[
[
"Gies",
"Holger",
""
],
[
"Knorr",
"Benjamin",
""
],
[
"Lippoldt",
"Stefan",
""
]
] |
We critically examine the gauge, and field-parametrization dependence of renormalization group flows in the vicinity of non-Gau\ss{}ian fixed points in quantum gravity. While physical observables are independent of such calculational specifications, the construction of quantum gravity field theories typically relies on off-shell quantities such as $\beta$ functions and generating functionals and thus face potential stability issues with regard to such generalized parametrizations. We analyze a two-parameter class of covariant gauge conditions, the role of momentum-dependent field rescalings and a class of field parametrizations. Using the product of Newton and cosmological constant as an indicator, the principle of minimum sensitivity identifies stationary points in this parametrization space which show a remarkable insensitivity to the parametrization. In the most insensitive cases, the quantized gravity system exhibits a non-Gau\ss{}ian UV stable fixed point, lending further support to asymptotically free quantum gravity. One of the stationary points facilitates an analytical determination of the quantum gravity phase diagram and features ultraviolet and infrared complete RG trajectories with a classical regime.
| 13.088842
| 15.722261
| 14.506677
| 13.266601
| 14.870491
| 13.983313
| 15.200934
| 14.41029
| 14.128073
| 16.212114
| 13.399866
| 13.345686
| 13.407854
| 13.190535
| 13.947023
| 13.607972
| 13.516232
| 13.648227
| 13.548554
| 13.699694
| 13.250245
|
2104.13163
|
Marco Bochicchio
|
Marco Bochicchio, Mauro Papinutto, Francesco Scardino
|
$n$-point correlators of twist-$2$ operators in $SU(N)$ Yang-Mills
theory to the lowest perturbative order
|
77 pages, no figures, paper expanded by including the generating
functionals of the correlators both in the coordinate and momentum
representation
|
JHEP08(2021)142
|
10.1007/JHEP08(2021)142
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute, to the lowest perturbative order in $SU(N)$ Yang-Mills theory,
$n$-point correlators in the coordinate and momentum representation of the
gauge-invariant twist-$2$ operators with maximal spin along the $p_+$
direction, both in Minkowskian and -- by analytic continuation -- Euclidean
space-time. We also construct the corresponding generating functionals.
Remarkably, they have the structure of the logarithm of a functional
determinant of the identity plus a term involving the effective propagators
that act on the appropriate source fields.
|
[
{
"created": "Tue, 27 Apr 2021 13:18:18 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Jul 2021 22:25:52 GMT",
"version": "v2"
}
] |
2021-08-31
|
[
[
"Bochicchio",
"Marco",
""
],
[
"Papinutto",
"Mauro",
""
],
[
"Scardino",
"Francesco",
""
]
] |
We compute, to the lowest perturbative order in $SU(N)$ Yang-Mills theory, $n$-point correlators in the coordinate and momentum representation of the gauge-invariant twist-$2$ operators with maximal spin along the $p_+$ direction, both in Minkowskian and -- by analytic continuation -- Euclidean space-time. We also construct the corresponding generating functionals. Remarkably, they have the structure of the logarithm of a functional determinant of the identity plus a term involving the effective propagators that act on the appropriate source fields.
| 11.00245
| 9.81564
| 11.661398
| 10.76392
| 10.827378
| 11.452214
| 12.333778
| 10.79694
| 10.591949
| 12.816013
| 10.09201
| 10.711948
| 10.998264
| 10.195945
| 10.483901
| 10.315278
| 10.458652
| 10.642275
| 10.281463
| 10.883828
| 9.901859
|
1109.3230
|
Sayed Fawad Hassan
|
S. F. Hassan, Rachel A. Rosen, Angnis Schmidt-May
|
Ghost-free Massive Gravity with a General Reference Metric
|
v2: references, comments and a new subsection 3.5 added, discussion
of the secondary constraint updated
| null |
10.1007/JHEP02(2012)026
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Theories of massive gravity inevitably include an auxiliary reference metric.
Generically, they also contain an inconsistency known as the Boulware-Deser
ghost. Recently, a family of non-linear massive gravity actions, formulated
with a flat reference metric, were proposed and shown to be ghost free at the
complete non-linear level. In this paper we consider these non-linear massive
gravity actions but now formulated with a general reference metric. We extend
the proof of the absence of the Boulware-Deser ghost to this case. The analysis
is carried out in the ADM formalism at the complete non-linear level. We show
that in these models there always exists a Hamiltonian constraint which, with
an associated secondary constraint, eliminates the ghost. This result
considerably extends the range of known consistent non-linear massive gravity
theories. In addition, these theories can also be used to describe a massive
spin-2 field in an arbitrary, fixed gravitational background. We also discuss
the positivity of the Hamiltonian.
|
[
{
"created": "Thu, 15 Sep 2011 00:13:45 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Dec 2011 02:23:22 GMT",
"version": "v2"
}
] |
2015-05-30
|
[
[
"Hassan",
"S. F.",
""
],
[
"Rosen",
"Rachel A.",
""
],
[
"Schmidt-May",
"Angnis",
""
]
] |
Theories of massive gravity inevitably include an auxiliary reference metric. Generically, they also contain an inconsistency known as the Boulware-Deser ghost. Recently, a family of non-linear massive gravity actions, formulated with a flat reference metric, were proposed and shown to be ghost free at the complete non-linear level. In this paper we consider these non-linear massive gravity actions but now formulated with a general reference metric. We extend the proof of the absence of the Boulware-Deser ghost to this case. The analysis is carried out in the ADM formalism at the complete non-linear level. We show that in these models there always exists a Hamiltonian constraint which, with an associated secondary constraint, eliminates the ghost. This result considerably extends the range of known consistent non-linear massive gravity theories. In addition, these theories can also be used to describe a massive spin-2 field in an arbitrary, fixed gravitational background. We also discuss the positivity of the Hamiltonian.
| 5.764877
| 5.843995
| 5.939259
| 5.608813
| 5.904979
| 5.680252
| 5.586732
| 5.504264
| 5.61556
| 6.286073
| 5.528273
| 5.776491
| 5.473455
| 5.475513
| 5.620576
| 5.545768
| 5.63062
| 5.544153
| 5.539032
| 5.736129
| 5.42485
|
hep-th/9401086
| null |
M. Cavicchi
|
A Bilocal Field Approach to the Large-N Expansion of Two-Dimensional
(Gauge) Theories
|
36 pages + 7 uuencoded postcript figures, Latex, Preprint DFUB-93-17
|
Int.J.Mod.Phys. A10 (1995) 167-198
|
10.1142/S0217751X95000097
| null |
hep-th
| null |
We consider a wide class of two-dimensional models as gauge theories,
Gross-Neveu model, $O(N)$ and $CP^{N-1}$-like models using a formalism based on
the introduction of bilocal fields that permits to perform easily the large-N
expansion of this set of models in a unified and general way. We mainly discuss
the $SU(N)$ gauge field theory minimally coupled to fermionic plus bosonic
matter in the fundamental representation, and we obtain within the path
integral approach exact equations for the particle spectrum, also in presence
of renormalizable polynomial potentials. Finally, we discuss the correspondence
between this new approach and the one previously used in the context of the
$O(N)$ vector models.
|
[
{
"created": "Wed, 19 Jan 1994 15:22:27 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Cavicchi",
"M.",
""
]
] |
We consider a wide class of two-dimensional models as gauge theories, Gross-Neveu model, $O(N)$ and $CP^{N-1}$-like models using a formalism based on the introduction of bilocal fields that permits to perform easily the large-N expansion of this set of models in a unified and general way. We mainly discuss the $SU(N)$ gauge field theory minimally coupled to fermionic plus bosonic matter in the fundamental representation, and we obtain within the path integral approach exact equations for the particle spectrum, also in presence of renormalizable polynomial potentials. Finally, we discuss the correspondence between this new approach and the one previously used in the context of the $O(N)$ vector models.
| 11.627683
| 10.755131
| 12.426546
| 10.893572
| 11.709353
| 10.765141
| 11.120825
| 10.559653
| 10.665935
| 13.392072
| 10.80712
| 10.931037
| 11.942355
| 10.929533
| 10.71956
| 11.18742
| 10.579971
| 10.532699
| 10.996431
| 10.847786
| 10.920879
|
2206.07653
|
John Klauder
|
John R. Klauder
|
A Valid Quantization of a Half-Harmonic Oscillator Field Theory
|
9 pages, a valid quantization of a novel model
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
The usual full- and half-harmonic oscillators are turned into field theories,
and that behavior is examined using canonical and affine quantization. The
result leads to a valid affine quantization of the half harmonic oscillator
field theory, which points toward further valid quantizations of more realistic
field theory models.
|
[
{
"created": "Sat, 4 Jun 2022 14:05:48 GMT",
"version": "v1"
}
] |
2022-06-16
|
[
[
"Klauder",
"John R.",
""
]
] |
The usual full- and half-harmonic oscillators are turned into field theories, and that behavior is examined using canonical and affine quantization. The result leads to a valid affine quantization of the half harmonic oscillator field theory, which points toward further valid quantizations of more realistic field theory models.
| 28.459421
| 22.777321
| 23.18786
| 25.058302
| 25.990242
| 21.537943
| 23.23332
| 20.181219
| 23.471111
| 25.705296
| 21.836693
| 23.415485
| 23.858438
| 23.392754
| 22.633417
| 22.728205
| 21.815857
| 22.388456
| 23.72645
| 22.96616
| 21.740499
|
1008.4567
|
Jean-Luc Lehners
|
Jean-Luc Lehners and Paul J. Steinhardt
|
Dynamical Selection of the Primordial Density Fluctuation Amplitude
|
4 pages; v2: version to be published in PRL
|
Phys.Rev.Lett.106:081301,2011
|
10.1103/PhysRevLett.106.081301
| null |
hep-th astro-ph.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In inflationary models, the predicted amplitude of primordial density
perturbations Q is much larger than the observed value (~10^{-5}) for natural
choices of parameters. To explain the requisite exponential fine-tuning,
anthropic selection is often invoked, especially in cases where microphysics is
expected to produce a complex energy landscape. By contrast, we find examples
of ekpyrotic models based on heterotic M-theory for which dynamical selection
naturally favors the observed value of Q.
|
[
{
"created": "Thu, 26 Aug 2010 19:20:58 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Feb 2011 14:42:10 GMT",
"version": "v2"
}
] |
2011-03-02
|
[
[
"Lehners",
"Jean-Luc",
""
],
[
"Steinhardt",
"Paul J.",
""
]
] |
In inflationary models, the predicted amplitude of primordial density perturbations Q is much larger than the observed value (~10^{-5}) for natural choices of parameters. To explain the requisite exponential fine-tuning, anthropic selection is often invoked, especially in cases where microphysics is expected to produce a complex energy landscape. By contrast, we find examples of ekpyrotic models based on heterotic M-theory for which dynamical selection naturally favors the observed value of Q.
| 12.058134
| 12.355285
| 11.48802
| 10.917909
| 11.069717
| 11.845069
| 11.153293
| 11.37208
| 11.650671
| 13.360416
| 11.509063
| 11.203157
| 10.872821
| 11.15294
| 10.835507
| 11.260617
| 10.592415
| 11.105246
| 10.627756
| 11.474948
| 10.90054
|
hep-th/9907149
|
Guy Bonneau
|
Guy Bonneau
|
Non linear $\sigma$ models : renormalisability versus geometry
|
10 pages, latex file, Talk given in Cortona, Italy, at the 1st June
meeting in honnor of Carlo Becchi 60th birthday
| null | null |
PAR/LPTHE/99-27
|
hep-th
| null |
After some recalls on the standard (non)-linear $\sigma$ model, we discuss
the interest of B.R.S. symmetry in non-linear $\sigma$ models renormalisation.
We also emphasise the importance of a correct definition of a theory through
physical constraints rather than as given by a particular Lagrangian and
discuss some ways to enlarge the notion of renormalisability.
|
[
{
"created": "Sat, 17 Jul 1999 15:27:55 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Bonneau",
"Guy",
""
]
] |
After some recalls on the standard (non)-linear $\sigma$ model, we discuss the interest of B.R.S. symmetry in non-linear $\sigma$ models renormalisation. We also emphasise the importance of a correct definition of a theory through physical constraints rather than as given by a particular Lagrangian and discuss some ways to enlarge the notion of renormalisability.
| 20.095285
| 16.836708
| 15.414673
| 14.60086
| 15.620927
| 15.567588
| 16.122477
| 14.438025
| 13.013595
| 15.162971
| 16.028151
| 15.528461
| 15.345168
| 14.351229
| 15.286922
| 14.891983
| 15.395637
| 15.324167
| 14.820302
| 14.055537
| 14.94563
|
hep-th/0411143
|
Noriko Nakayama
|
Noriko Nakayama, Katsuyuki Sugiyama
|
Construction of Supergravity Backgrounds with a Dilaton Field
|
13 pages, minor corrections
|
Phys.Lett. B607 (2005) 306-316
|
10.1016/j.physletb.2004.12.070
|
KUNS 1944
|
hep-th
| null |
A new class of non-compact Kahler backgrounds accompanied by a non-constant
dilaton field is constructed as a supergravity solution. It is interpreted as a
complex line bundle over a base manifold comprising of a combination of
arbitrary coset spaces, and also includes the case of Calabi-Yau manifolds. The
resulting backgrounds have U(1) isometry. We consider N=2 supersymmetric
sigma-models on them, and derive a non-Kahlerian solution by U(1) duality
transformation, which preserves N=2 supersymmetry.
|
[
{
"created": "Mon, 15 Nov 2004 17:39:05 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Dec 2004 12:29:32 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Nakayama",
"Noriko",
""
],
[
"Sugiyama",
"Katsuyuki",
""
]
] |
A new class of non-compact Kahler backgrounds accompanied by a non-constant dilaton field is constructed as a supergravity solution. It is interpreted as a complex line bundle over a base manifold comprising of a combination of arbitrary coset spaces, and also includes the case of Calabi-Yau manifolds. The resulting backgrounds have U(1) isometry. We consider N=2 supersymmetric sigma-models on them, and derive a non-Kahlerian solution by U(1) duality transformation, which preserves N=2 supersymmetry.
| 10.643393
| 9.050855
| 10.627871
| 9.578884
| 9.332871
| 9.422879
| 9.959503
| 8.916089
| 9.521624
| 10.908014
| 8.832539
| 9.294787
| 10.472185
| 9.221204
| 9.389006
| 9.496668
| 9.523532
| 9.542258
| 9.482044
| 10.071833
| 9.41136
|
hep-th/0410074
|
S. Stieberger
|
D. Lust, S. Reffert, S. Stieberger
|
MSSM with Soft SUSY Breaking Terms from D7-Branes with Fluxes
|
41 pages, harvmac. Typos removed and more general twisted matter
field metric used
|
Nucl.Phys.B727:264-300,2005
|
10.1016/j.nuclphysb.2005.08.009
| null |
hep-th hep-ph
| null |
We discuss the structure of the soft supersymmetry breaking terms in a MSSM
like model, which can be derived from D7-branes with chiral matter fields from
2-form f-fluxes and supersymmetry breaking from 3-form G-fluxes.
|
[
{
"created": "Thu, 7 Oct 2004 13:31:50 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Dec 2004 16:37:09 GMT",
"version": "v2"
},
{
"created": "Sun, 3 Jul 2005 17:27:03 GMT",
"version": "v3"
}
] |
2009-10-07
|
[
[
"Lust",
"D.",
""
],
[
"Reffert",
"S.",
""
],
[
"Stieberger",
"S.",
""
]
] |
We discuss the structure of the soft supersymmetry breaking terms in a MSSM like model, which can be derived from D7-branes with chiral matter fields from 2-form f-fluxes and supersymmetry breaking from 3-form G-fluxes.
| 11.379384
| 10.12326
| 9.724694
| 8.114108
| 9.840388
| 9.276616
| 9.344112
| 9.491984
| 8.169521
| 10.226335
| 8.727772
| 9.192887
| 9.262207
| 8.850444
| 8.866846
| 9.31568
| 9.117549
| 9.885005
| 9.296379
| 9.39615
| 9.183726
|
hep-th/9806200
|
M. R. Pennington
|
M.R. Pennington
|
Mass production requires precision engineering
|
12 pages, 6 epsi figures. To be published in the Proceedings of the
Workshop on Methods in Non-perturbative Field Theories, CSSM/NITP, Adelaide,
February 1998
| null | null |
DTP-98/42
|
hep-th
| null |
This talk is in two parts both entitled mass production requires precision
engineering. The first is about the dynamical generation of mass for matter
particles in gauge theories. I will explain how the details of this depend on a
precision knowledge of the interactions. The second is about tests of the
mechanism of chiral symmetry breaking in QCD that the precision engineering of
high luminosity colliders and particle detectors will shortly make possible.
Since the latter topic has been described in Ref. 1, here I will just discuss
the first: the production of mass from nothing.
|
[
{
"created": "Wed, 24 Jun 1998 12:11:46 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Pennington",
"M. R.",
""
]
] |
This talk is in two parts both entitled mass production requires precision engineering. The first is about the dynamical generation of mass for matter particles in gauge theories. I will explain how the details of this depend on a precision knowledge of the interactions. The second is about tests of the mechanism of chiral symmetry breaking in QCD that the precision engineering of high luminosity colliders and particle detectors will shortly make possible. Since the latter topic has been described in Ref. 1, here I will just discuss the first: the production of mass from nothing.
| 16.740072
| 17.478611
| 14.609237
| 14.396399
| 15.972296
| 17.224401
| 16.252157
| 16.450254
| 15.341177
| 16.77704
| 14.733625
| 16.560774
| 15.912305
| 14.701299
| 15.443083
| 15.824904
| 15.756503
| 16.294338
| 15.167042
| 15.470411
| 16.257206
|
hep-th/0702077
|
Jonathan Heckman
|
Jonathan J. Heckman, Jihye Seo, Cumrun Vafa
|
Phase Structure of a Brane/Anti-Brane System at Large N
|
v3: 55 pages, 11 figures, typos corrected
|
JHEP0707:073,2007
|
10.1088/1126-6708/2007/07/073
|
HUTP-07/A0002
|
hep-th
| null |
We further analyze a class of recently studied metastable string vacua
obtained by wrapping D5-branes and anti-D5-branes over rigid homologous S^2's
of a non-compact Calabi-Yau threefold. The large N dual description is
characterized by a potential for the glueball fields which is determined by an
auxiliary matrix model. The higher order corrections to this potential produce
a suprisingly rich phase structure. In particular, at sufficiently large 't
Hooft coupling the metastable vacua present at weak coupling cease to exist.
This instability can already be seen by an open string two loop contribution to
the glueball potential. The glueball potential also lifts some of the
degeneracy in the vacua characterized by the phases of the glueball fields.
This generates an exactly computable non-vanishing axion potential at large N.
|
[
{
"created": "Mon, 12 Feb 2007 19:30:51 GMT",
"version": "v1"
},
{
"created": "Tue, 22 May 2007 20:38:48 GMT",
"version": "v2"
},
{
"created": "Fri, 27 Jul 2007 20:26:40 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Heckman",
"Jonathan J.",
""
],
[
"Seo",
"Jihye",
""
],
[
"Vafa",
"Cumrun",
""
]
] |
We further analyze a class of recently studied metastable string vacua obtained by wrapping D5-branes and anti-D5-branes over rigid homologous S^2's of a non-compact Calabi-Yau threefold. The large N dual description is characterized by a potential for the glueball fields which is determined by an auxiliary matrix model. The higher order corrections to this potential produce a suprisingly rich phase structure. In particular, at sufficiently large 't Hooft coupling the metastable vacua present at weak coupling cease to exist. This instability can already be seen by an open string two loop contribution to the glueball potential. The glueball potential also lifts some of the degeneracy in the vacua characterized by the phases of the glueball fields. This generates an exactly computable non-vanishing axion potential at large N.
| 10.411292
| 8.977295
| 10.805093
| 8.724375
| 9.10513
| 9.164924
| 9.07899
| 8.941584
| 9.102957
| 12.201767
| 8.661502
| 9.18422
| 10.284923
| 9.271694
| 9.074058
| 9.299937
| 9.156536
| 9.080446
| 9.250427
| 10.173093
| 9.117717
|
1908.01913
|
Stuart Raby
|
Herbert Clemens and Stuart Raby
|
Heterotic-$\mathbf{F}$-theory Duality with Wilson Line Symmetry-breaking
|
51 pages, corrected some typos
| null |
10.1007/JHEP12(2019)016
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We begin with an $E_{8}\times E_{8}$ Heterotic model broken to an
$SU(5)_{gauge}$ and a mirror $SU(5)_{gauge}$, where one $SU(5)$ and its
spectrum is identified as the visible sector while the other can be identified
as a hidden mirror world. In both cases we obtain the minimal supersymmetric
standard model spectrum after Wilson-line symmetry-breaking enhanced by a low
energy R-parity enforced by a local (or global) $U(1)_{X}$-symmetry. Using
Heterotic/$F$-theory duality, we show how to eliminate the vector-like exotics
which were obtained in previous constructions. In these constructions, the
Calabi-Yau {[}CY{]} four-fold was defined by an elliptic fibration with section
over a base $B_{3}$ and a GUT surface given by $K3/\mathbb{Z}_{2}=$ Enriques
surface. In the present paper we construct a quotient CY four-fold fibered by
tori with two elliptic structures given by a a pair of sections fibered over
the Enriques surface. Using Heterotic/$F$-theory duality we are able to define
the cohomologies used to derive the massless spectrum.
Our model for the 'correct' $F$-theory dual of a Heterotic model with
Wilson-line symmetry-breaking builds on prior literature but employs the
stack-theoretic version of the dictionary between the Heterotic semi-stable
$E_{8}$-bundles with Yang-Mills connection and the $dP_{9}$-fibrations used to
construct the $F$-theory dual.
|
[
{
"created": "Tue, 6 Aug 2019 00:43:22 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Nov 2019 20:33:39 GMT",
"version": "v2"
}
] |
2020-01-29
|
[
[
"Clemens",
"Herbert",
""
],
[
"Raby",
"Stuart",
""
]
] |
We begin with an $E_{8}\times E_{8}$ Heterotic model broken to an $SU(5)_{gauge}$ and a mirror $SU(5)_{gauge}$, where one $SU(5)$ and its spectrum is identified as the visible sector while the other can be identified as a hidden mirror world. In both cases we obtain the minimal supersymmetric standard model spectrum after Wilson-line symmetry-breaking enhanced by a low energy R-parity enforced by a local (or global) $U(1)_{X}$-symmetry. Using Heterotic/$F$-theory duality, we show how to eliminate the vector-like exotics which were obtained in previous constructions. In these constructions, the Calabi-Yau {[}CY{]} four-fold was defined by an elliptic fibration with section over a base $B_{3}$ and a GUT surface given by $K3/\mathbb{Z}_{2}=$ Enriques surface. In the present paper we construct a quotient CY four-fold fibered by tori with two elliptic structures given by a a pair of sections fibered over the Enriques surface. Using Heterotic/$F$-theory duality we are able to define the cohomologies used to derive the massless spectrum. Our model for the 'correct' $F$-theory dual of a Heterotic model with Wilson-line symmetry-breaking builds on prior literature but employs the stack-theoretic version of the dictionary between the Heterotic semi-stable $E_{8}$-bundles with Yang-Mills connection and the $dP_{9}$-fibrations used to construct the $F$-theory dual.
| 9.101766
| 9.730053
| 10.059919
| 9.811077
| 10.40788
| 10.263682
| 10.173731
| 9.611731
| 9.351472
| 10.949297
| 9.2133
| 8.958249
| 9.195094
| 9.084602
| 9.387301
| 9.179738
| 9.173513
| 9.155216
| 9.020417
| 9.572341
| 8.986818
|
1007.4485
|
Adil Belhaj Rogani
|
A. Belhaj, N-E. Fahssi, E.H. Saidi, A. Segui
|
Embedding Fractional Quantum Hall Solitons in M-theory Compactifications
|
Latex, 14 pages. Modified version, to appear in IJGMMP
| null |
10.1142/S0219887811005762
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We engineer U(1)^n Chern-Simons type theories describing fractional quantum
Hall solitons (QHS) in 1+2 dimensions from M-theory compactified on eight
dimensional hyper-K\"{a}hler manifolds as target space of N=4 sigma model.
Based on M-theory/Type IIA duality, the systems can be modeled by considering
D6-branes wrapping intersecting Hirzebruch surfaces F_0's arranged as ADE
Dynkin Diagrams and interacting with higher dimensional R-R gauge fields. In
the case of finite Dynkin quivers, we recover well known values of the filling
factor observed experimentally including Laughlin, Haldane and Jain series.
|
[
{
"created": "Mon, 26 Jul 2010 15:25:50 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Mar 2011 15:06:40 GMT",
"version": "v2"
}
] |
2015-05-19
|
[
[
"Belhaj",
"A.",
""
],
[
"Fahssi",
"N-E.",
""
],
[
"Saidi",
"E. H.",
""
],
[
"Segui",
"A.",
""
]
] |
We engineer U(1)^n Chern-Simons type theories describing fractional quantum Hall solitons (QHS) in 1+2 dimensions from M-theory compactified on eight dimensional hyper-K\"{a}hler manifolds as target space of N=4 sigma model. Based on M-theory/Type IIA duality, the systems can be modeled by considering D6-branes wrapping intersecting Hirzebruch surfaces F_0's arranged as ADE Dynkin Diagrams and interacting with higher dimensional R-R gauge fields. In the case of finite Dynkin quivers, we recover well known values of the filling factor observed experimentally including Laughlin, Haldane and Jain series.
| 13.74361
| 12.116262
| 14.613557
| 11.288465
| 11.833008
| 12.756553
| 11.533935
| 10.9638
| 10.935265
| 17.893568
| 11.16076
| 10.995457
| 12.869469
| 11.414721
| 11.628237
| 11.950162
| 11.573114
| 11.603913
| 11.678027
| 13.202885
| 11.339114
|
0911.4999
|
Anindya Mukherjee
|
Pallab Basu, Jianyang He, Anindya Mukherjee and Hsien-Hang Shieh
|
Hard-gapped Holographic Superconductors
|
9 pages, latex, 6 figures
|
Phys.Lett.B689:45-50,2010
|
10.1016/j.physletb.2010.04.042
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we discuss the zero temperature limit of a "p-wave" holographic
superconductor. The bulk description consists of a non-Abelian SU(2) gauge
fields minimally coupled to gravity. We numerically construct the zero
temperature solution which is the gravity dual of the superconducting ground
state of the "p-wave" holographic superconductors. The solution is a smooth
soliton with zero horizon size and shows an emergent conformal symmetry in the
IR. We found the expected superconducting behavior. Using the near horizon
analysis we show that the system has a "hard gap" for the relevant gauge field
fluctuations. At zero temperature the real part of the conductivity is zero for
an excitation frequency less than the gap frequency. This is in contrast with
what has been observed in similar scalar- gravity-gauge systems (holographic
superconductors). We also discuss the low but finite temperature behavior of
our solution.
|
[
{
"created": "Thu, 26 Nov 2009 11:02:56 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Nov 2009 07:55:38 GMT",
"version": "v2"
},
{
"created": "Sat, 5 Dec 2009 03:00:29 GMT",
"version": "v3"
}
] |
2010-05-25
|
[
[
"Basu",
"Pallab",
""
],
[
"He",
"Jianyang",
""
],
[
"Mukherjee",
"Anindya",
""
],
[
"Shieh",
"Hsien-Hang",
""
]
] |
In this work we discuss the zero temperature limit of a "p-wave" holographic superconductor. The bulk description consists of a non-Abelian SU(2) gauge fields minimally coupled to gravity. We numerically construct the zero temperature solution which is the gravity dual of the superconducting ground state of the "p-wave" holographic superconductors. The solution is a smooth soliton with zero horizon size and shows an emergent conformal symmetry in the IR. We found the expected superconducting behavior. Using the near horizon analysis we show that the system has a "hard gap" for the relevant gauge field fluctuations. At zero temperature the real part of the conductivity is zero for an excitation frequency less than the gap frequency. This is in contrast with what has been observed in similar scalar- gravity-gauge systems (holographic superconductors). We also discuss the low but finite temperature behavior of our solution.
| 8.416561
| 7.398611
| 9.176297
| 7.5451
| 7.897842
| 7.910821
| 7.922848
| 7.163054
| 7.437621
| 9.558299
| 7.284477
| 7.57629
| 8.274318
| 7.713983
| 7.573215
| 7.444806
| 7.751088
| 7.625677
| 7.978446
| 8.316023
| 7.5768
|
2403.14446
|
Sergey Fedoruk
|
I.L. Buchbinder, S.A. Fedoruk, A.P. Isaev, V.A. Krykhtin
|
BRST construction for infinite spin field on $AdS_4$
|
1 + 16 pages; v4: published version
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We generalize the first class constraints that describe the infinite spin
irreducible $4D$ Poincar\'{e} group representation in flat space to new first
class constraints in $AdS_4$ space. The constraints are realized as operators
acting in Fock space spanned by the creation and annihilation operators with
two-component spinor indices. As a result, we obtain a new closed gauge algebra
on $AdS_4$ with the known flat space limit. Using this gauge algebra, we
construct the BRST charge and derive the Lagrangian and gauge transformations
for free bosonic infinite spin field theory in $AdS_4$ space.
|
[
{
"created": "Thu, 21 Mar 2024 14:52:49 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Apr 2024 11:55:11 GMT",
"version": "v2"
},
{
"created": "Mon, 13 May 2024 10:58:03 GMT",
"version": "v3"
},
{
"created": "Wed, 17 Jul 2024 07:34:14 GMT",
"version": "v4"
}
] |
2024-07-18
|
[
[
"Buchbinder",
"I. L.",
""
],
[
"Fedoruk",
"S. A.",
""
],
[
"Isaev",
"A. P.",
""
],
[
"Krykhtin",
"V. A.",
""
]
] |
We generalize the first class constraints that describe the infinite spin irreducible $4D$ Poincar\'{e} group representation in flat space to new first class constraints in $AdS_4$ space. The constraints are realized as operators acting in Fock space spanned by the creation and annihilation operators with two-component spinor indices. As a result, we obtain a new closed gauge algebra on $AdS_4$ with the known flat space limit. Using this gauge algebra, we construct the BRST charge and derive the Lagrangian and gauge transformations for free bosonic infinite spin field theory in $AdS_4$ space.
| 8.402496
| 6.135777
| 8.808361
| 6.605098
| 7.088938
| 6.608744
| 6.305886
| 6.099554
| 6.538381
| 8.675569
| 6.581497
| 6.944328
| 7.589385
| 6.840828
| 6.698895
| 6.735013
| 6.842452
| 6.923276
| 6.84384
| 7.419945
| 6.85844
|
hep-th/9701058
|
Joao Barcelos Neto
|
J. Barcelos-Neto and W. Oliveira
|
Transformation of second-class into first-class constraints in
supersymmetric theories
|
22 pages, Latex
|
Int.J.Mod.Phys. A12 (1997) 5209-5222
|
10.1142/S0217751X97002796
| null |
hep-th
| null |
We use the method due to Batalin, Fradkin, Fradkina, and Tyutin (BFFT) in
order to convert second-class into first-class constraints for some quantum
mechanics supersymmetric theories. The main point to be considered is that the
extended theory, where new auxiliary variables are introduced, has to be
supersymmetric too. This leads to some additional restrictions with respect the
conventional use of the BFFT formalism.
|
[
{
"created": "Tue, 14 Jan 1997 19:37:47 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Barcelos-Neto",
"J.",
""
],
[
"Oliveira",
"W.",
""
]
] |
We use the method due to Batalin, Fradkin, Fradkina, and Tyutin (BFFT) in order to convert second-class into first-class constraints for some quantum mechanics supersymmetric theories. The main point to be considered is that the extended theory, where new auxiliary variables are introduced, has to be supersymmetric too. This leads to some additional restrictions with respect the conventional use of the BFFT formalism.
| 9.227218
| 7.554779
| 8.21932
| 6.996469
| 7.02921
| 6.816725
| 6.503516
| 7.430328
| 7.013006
| 10.887309
| 7.725688
| 7.558181
| 8.284366
| 7.350421
| 7.735757
| 7.561735
| 7.492303
| 7.631124
| 7.544965
| 8.67666
| 7.47161
|
1812.00389
|
Anirban Basu
|
Anirban Basu
|
Eigenvalue equation for genus two modular graphs
|
67 pages, LaTex; 27 figures
| null |
10.1007/JHEP02(2019)046
| null |
hep-th math.NT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We obtain a second order differential equation on moduli space satisfied by
certain modular graph functions at genus two, each of which has two links. This
eigenvalue equation is obtained by analyzing the variations of these graphs
under the variation of the Beltrami differentials. This equation involves seven
distinct graphs, three of which appear in the integrand of the
$D^8\mathcal{R}^4$ term in the low momentum expansion of the four graviton
amplitude at genus two in type II string theory.
|
[
{
"created": "Sun, 2 Dec 2018 13:34:49 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Feb 2019 07:46:46 GMT",
"version": "v2"
}
] |
2019-02-20
|
[
[
"Basu",
"Anirban",
""
]
] |
We obtain a second order differential equation on moduli space satisfied by certain modular graph functions at genus two, each of which has two links. This eigenvalue equation is obtained by analyzing the variations of these graphs under the variation of the Beltrami differentials. This equation involves seven distinct graphs, three of which appear in the integrand of the $D^8\mathcal{R}^4$ term in the low momentum expansion of the four graviton amplitude at genus two in type II string theory.
| 9.120649
| 6.957536
| 12.362513
| 6.847993
| 7.583854
| 7.103658
| 7.271587
| 7.349037
| 7.40964
| 12.557412
| 7.472441
| 7.826531
| 8.904972
| 7.745193
| 8.055501
| 7.734595
| 7.87535
| 7.658676
| 8.065677
| 8.745452
| 7.898957
|
2007.10156
|
Davoud Kamani
|
Davoud Kamani
|
Brane with Transverse Rotation and Background Fields: Boundary State and
Tachyon Condensation
|
15 pages, LaTeX2e, no figure
|
Eur. Phys. J. C (2020) 80:624
|
10.1140/epjc/s10052-020-8212-3
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The boundary state corresponding to the D$p$-brane with a transverse rotation
in the presence of the Kalb-Ramond and tachyon background fields and a $U(1)$
internal field will be constructed. We shall investigate effects of the open
string tachyon condensation on this brane via its boundary state. We
demonstrate that the background fields and transverse rotation cannot protect
the brane against the collapse. Our calculations are in the context of the
bosonic string theory.
|
[
{
"created": "Mon, 20 Jul 2020 14:27:55 GMT",
"version": "v1"
}
] |
2020-07-24
|
[
[
"Kamani",
"Davoud",
""
]
] |
The boundary state corresponding to the D$p$-brane with a transverse rotation in the presence of the Kalb-Ramond and tachyon background fields and a $U(1)$ internal field will be constructed. We shall investigate effects of the open string tachyon condensation on this brane via its boundary state. We demonstrate that the background fields and transverse rotation cannot protect the brane against the collapse. Our calculations are in the context of the bosonic string theory.
| 10.055073
| 7.077309
| 9.765458
| 7.666197
| 8.192108
| 6.856901
| 6.934028
| 7.232924
| 7.086791
| 10.810081
| 7.73372
| 8.918106
| 9.222473
| 8.503732
| 8.782931
| 8.516159
| 8.602289
| 8.694133
| 8.66113
| 9.94917
| 8.677316
|
2112.09614
|
Alesandro Santos
|
L. H. A. R. Ferreira, A. F. Santos and Faqir C. Khanna
|
TFD formalism: applications to the scalar field in a Lorentz-violating
theory
|
16 pages, accepted for publication in PLB
| null |
10.1016/j.physletb.2021.136845
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
The Thermofield Dynamics (TFD) formalism is considered. In this context, a
Lorentz-breaking scalar field theory is introduced. In contrast to the
Matsubara formalism, the best-known approach to introducing the temperature
effect, TFD is a real-time formalism and is a topological field theory. While
in Matsubara the temperature effects are introduced as a consequence of a
compactification of the field in a finite interval on the time axis, in the TFD
this effect emerges through a condensed state related to the Bogoliubov
transformation. An advantage of the TFD formalism is that different topologies,
which lead to different effects, can be chosen. Here, three different
topologies are considered. Then the Stefan-Boltzmann law and Casimir effect at
zero and non-zero temperature are calculated. This is a unique feature of TFD,
which allows us to treat different phenomena in the same way.
|
[
{
"created": "Fri, 17 Dec 2021 16:43:09 GMT",
"version": "v1"
}
] |
2022-01-05
|
[
[
"Ferreira",
"L. H. A. R.",
""
],
[
"Santos",
"A. F.",
""
],
[
"Khanna",
"Faqir C.",
""
]
] |
The Thermofield Dynamics (TFD) formalism is considered. In this context, a Lorentz-breaking scalar field theory is introduced. In contrast to the Matsubara formalism, the best-known approach to introducing the temperature effect, TFD is a real-time formalism and is a topological field theory. While in Matsubara the temperature effects are introduced as a consequence of a compactification of the field in a finite interval on the time axis, in the TFD this effect emerges through a condensed state related to the Bogoliubov transformation. An advantage of the TFD formalism is that different topologies, which lead to different effects, can be chosen. Here, three different topologies are considered. Then the Stefan-Boltzmann law and Casimir effect at zero and non-zero temperature are calculated. This is a unique feature of TFD, which allows us to treat different phenomena in the same way.
| 8.220592
| 7.33289
| 8.60956
| 7.484615
| 7.760966
| 7.626695
| 7.666122
| 7.391673
| 7.825796
| 9.141398
| 7.351424
| 7.748378
| 8.104963
| 7.729163
| 7.608089
| 7.780978
| 7.654552
| 7.887019
| 7.662182
| 8.24269
| 7.452359
|
hep-th/0506005
|
Jean Iliopoulos
|
Jean Iliopoulos (LPTENS)
|
Gauge Theories and Non-Commutative Geometry
| null |
Fortsch.Phys. 54 (2006) 139-145
|
10.1002/prop.200510262
| null |
hep-th
| null |
It is shown that a $d$-dimensional classical SU(N) Yang-Mills theory can be
formulated in a $d+2$-dimensional space, with the extra two dimensions forming
a surface with non-commutative geometry.
|
[
{
"created": "Wed, 1 Jun 2005 11:59:28 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Iliopoulos",
"Jean",
"",
"LPTENS"
]
] |
It is shown that a $d$-dimensional classical SU(N) Yang-Mills theory can be formulated in a $d+2$-dimensional space, with the extra two dimensions forming a surface with non-commutative geometry.
| 6.3456
| 3.888601
| 5.630642
| 4.45477
| 4.030309
| 3.855571
| 4.058803
| 3.79678
| 4.913118
| 6.188547
| 4.422697
| 4.742468
| 5.466265
| 5.153244
| 4.862464
| 4.873942
| 4.91985
| 4.951746
| 4.941428
| 5.629173
| 4.670504
|
hep-th/9910264
|
Dubin Andrey Yurievich
|
Andrey Dubin
|
Nonabelian Duality and Solvable Large N Lattice Systems
|
TeX, 46 pages
|
Nucl.Phys. B584 (2000) 749-783
|
10.1016/S0550-3213(00)00351-5
| null |
hep-th hep-lat
| null |
We introduce the basics of the nonabelian duality transformation of SU(N) or
U(N) vector-field models defined on a lattice. The dual degrees of freedom are
certain species of the integer-valued fields complemented by the symmetric
groups' \otimes_{n} S(n) variables. While the former parametrize relevant
irreducible representations, the latter play the role of the Lagrange
multipliers facilitating the fusion rules involved. As an application, I
construct a novel solvable family of SU(N) D-matrix systems graded by the rank
1\leq{k}\leq{(D-1)} of the manifest [U(N)]^{\oplus k} conjugation-symmetry.
Their large N solvability is due to a hidden invariance (explicit in the dual
formulation) which allows for a mapping onto the recently proposed
eigenvalue-models \cite{Dub1} with the largest k=D symmetry. Extending
\cite{Dub1}, we reconstruct a D-dimensional gauge theory with the large N free
energy given (modulo the volume factor) by the free energy of a given proposed
1\leq{k}\leq{(D-1)} D-matrix system. It is emphasized that the developed
formalism provides with the basis for higher-dimensional generalizations of the
Gross-Taylor stringy representation of strongly coupled 2d gauge theories.
|
[
{
"created": "Mon, 1 Nov 1999 15:28:14 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Dubin",
"Andrey",
""
]
] |
We introduce the basics of the nonabelian duality transformation of SU(N) or U(N) vector-field models defined on a lattice. The dual degrees of freedom are certain species of the integer-valued fields complemented by the symmetric groups' \otimes_{n} S(n) variables. While the former parametrize relevant irreducible representations, the latter play the role of the Lagrange multipliers facilitating the fusion rules involved. As an application, I construct a novel solvable family of SU(N) D-matrix systems graded by the rank 1\leq{k}\leq{(D-1)} of the manifest [U(N)]^{\oplus k} conjugation-symmetry. Their large N solvability is due to a hidden invariance (explicit in the dual formulation) which allows for a mapping onto the recently proposed eigenvalue-models \cite{Dub1} with the largest k=D symmetry. Extending \cite{Dub1}, we reconstruct a D-dimensional gauge theory with the large N free energy given (modulo the volume factor) by the free energy of a given proposed 1\leq{k}\leq{(D-1)} D-matrix system. It is emphasized that the developed formalism provides with the basis for higher-dimensional generalizations of the Gross-Taylor stringy representation of strongly coupled 2d gauge theories.
| 17.165703
| 17.57143
| 19.530283
| 15.030684
| 18.654879
| 17.012865
| 17.221512
| 16.803526
| 16.530781
| 21.084099
| 16.246687
| 16.43679
| 16.767561
| 16.020975
| 16.567068
| 17.348158
| 16.967731
| 16.815079
| 15.866719
| 17.701681
| 16.442858
|
1506.00035
|
Mario Neves Junior
|
Everton M. C. Abreu and M. J. Neves
|
The Yang-Mills gauge theory in DFR noncommutative space-time
|
26 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Doplicher-Fredenhagen-Roberts (DFR) framework for noncommutative (NC)
space-times is considered as an alternative approach to describe the physics of
quantum gravity, for instance. In this formalism, the NC parameter, {\it i.e.}
$\theta^{\mu\nu}$, is promoted to a coordinate of a new extended space-time.
Consequently, we have a field theory in a space-time with spatial
extra-dimensions. This new coordinate has a canonical momentum associated,
where the effects of a new physics can emerge in the fields propagation along
the extra-dimension. In this paper we introduce the gauge invariance in the DFR
NC space-time. We present the non-Abelian gauge symmetry in DFR formalism, and
the consequences of this symmetry in the presence of such extra-dimension. The
gauge symmetry in this DFR scenario can reveal new fields attached to
$\theta$-extra-dimension. We obtain the propagation of these gauge fields in
terms of canonical momentum associated with $\theta$-coordinate.
|
[
{
"created": "Fri, 29 May 2015 21:35:01 GMT",
"version": "v1"
}
] |
2015-06-02
|
[
[
"Abreu",
"Everton M. C.",
""
],
[
"Neves",
"M. J.",
""
]
] |
The Doplicher-Fredenhagen-Roberts (DFR) framework for noncommutative (NC) space-times is considered as an alternative approach to describe the physics of quantum gravity, for instance. In this formalism, the NC parameter, {\it i.e.} $\theta^{\mu\nu}$, is promoted to a coordinate of a new extended space-time. Consequently, we have a field theory in a space-time with spatial extra-dimensions. This new coordinate has a canonical momentum associated, where the effects of a new physics can emerge in the fields propagation along the extra-dimension. In this paper we introduce the gauge invariance in the DFR NC space-time. We present the non-Abelian gauge symmetry in DFR formalism, and the consequences of this symmetry in the presence of such extra-dimension. The gauge symmetry in this DFR scenario can reveal new fields attached to $\theta$-extra-dimension. We obtain the propagation of these gauge fields in terms of canonical momentum associated with $\theta$-coordinate.
| 8.044889
| 7.296346
| 8.606066
| 7.171862
| 7.436532
| 7.313286
| 7.420318
| 7.314983
| 7.119779
| 8.16135
| 7.442645
| 7.241935
| 7.741185
| 7.335212
| 7.352758
| 7.307505
| 7.055324
| 7.236714
| 7.240048
| 7.974058
| 7.472592
|
1011.6388
|
Andres Collinucci
|
Andres Collinucci and Raffaele Savelli
|
On Flux Quantization in F-Theory
|
46 pages
| null |
10.1007/JHEP02(2012)015
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the problem of four-form flux quantization in F-theory
compactifications. We prove that for smooth, elliptically fibered Calabi-Yau
fourfolds with a Weierstrass representation, the flux is always integrally
quantized. This implies that any possible half-integral quantization effects
must come from 7-branes, i.e. from singularities of the fourfold. We
subsequently analyze the quantization rule on explicit fourfolds with Sp(N)
singularities, and connect our findings via Sen's limit to IIB string theory.
Via direct computations we find that the four-form is half-integrally quantized
whenever the corresponding 7-brane stacks wrap non-spin complex surfaces, in
accordance with the perturbative Freed-Witten anomaly. Our calculations on the
fourfolds are done via toric techniques, whereas in IIB we rely on Sen's
tachyon condensation picture to treat bound states of branes. Finally, we give
general formulae for the curvature- and flux-induced D3 tadpoles for general
fourfolds with Sp(N) singularities.
|
[
{
"created": "Mon, 29 Nov 2010 21:06:55 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Mar 2012 20:03:01 GMT",
"version": "v2"
}
] |
2015-05-20
|
[
[
"Collinucci",
"Andres",
""
],
[
"Savelli",
"Raffaele",
""
]
] |
We study the problem of four-form flux quantization in F-theory compactifications. We prove that for smooth, elliptically fibered Calabi-Yau fourfolds with a Weierstrass representation, the flux is always integrally quantized. This implies that any possible half-integral quantization effects must come from 7-branes, i.e. from singularities of the fourfold. We subsequently analyze the quantization rule on explicit fourfolds with Sp(N) singularities, and connect our findings via Sen's limit to IIB string theory. Via direct computations we find that the four-form is half-integrally quantized whenever the corresponding 7-brane stacks wrap non-spin complex surfaces, in accordance with the perturbative Freed-Witten anomaly. Our calculations on the fourfolds are done via toric techniques, whereas in IIB we rely on Sen's tachyon condensation picture to treat bound states of branes. Finally, we give general formulae for the curvature- and flux-induced D3 tadpoles for general fourfolds with Sp(N) singularities.
| 9.011221
| 9.47004
| 10.279933
| 8.851119
| 8.299855
| 9.308573
| 9.954421
| 8.749516
| 9.294544
| 11.197311
| 8.472142
| 8.493544
| 9.328336
| 8.595112
| 8.855015
| 8.858143
| 8.841784
| 8.687132
| 8.641879
| 8.957526
| 8.8065
|
hep-th/9409183
|
Yong Wan Kim
|
Yong-Wan Kim, Young-Jai Park, Kee Yong Kim and Yongduk Kim
|
Batalin-Tyutin Quantization of the Self-Dual Massive Theory in Three
Dimensions
|
17 pages, SOGANG-HEP 191/94
|
Phys.Rev. D51 (1995) 2943-2949
|
10.1103/PhysRevD.51.2943
| null |
hep-th
| null |
We quantize the self-dual massive theory by using the Batalin-Tyutin
Hamiltonian method, which systematically embeds second class constraint system
into first class one in the extended phase space by introducing the new fields.
Through this analysis we obtain simultaneously the St\"uckelberg scalar term
related to the explicit gauge-breaking effect and the new type of Wess-Zumino
action related to the Chern-Simons term.
|
[
{
"created": "Thu, 29 Sep 1994 14:53:19 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Kim",
"Yong-Wan",
""
],
[
"Park",
"Young-Jai",
""
],
[
"Kim",
"Kee Yong",
""
],
[
"Kim",
"Yongduk",
""
]
] |
We quantize the self-dual massive theory by using the Batalin-Tyutin Hamiltonian method, which systematically embeds second class constraint system into first class one in the extended phase space by introducing the new fields. Through this analysis we obtain simultaneously the St\"uckelberg scalar term related to the explicit gauge-breaking effect and the new type of Wess-Zumino action related to the Chern-Simons term.
| 15.393006
| 7.427582
| 14.47885
| 10.061996
| 8.008085
| 8.058287
| 8.191712
| 8.807792
| 8.788795
| 15.708267
| 9.660272
| 11.315366
| 13.748501
| 11.785592
| 11.577009
| 11.783564
| 11.640286
| 12.061008
| 11.515901
| 13.405499
| 11.500602
|
2005.02761
|
Keita Nii
|
Keita Nii
|
Coulomb branch in 3d $\mathcal{N}=2$ $SU(N)_k$ Chern-Simons gauge
theories with chiral matter content
|
56 pages: refs added, typos corrected, refined argument
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We elaborate on quantum moduli spaces in 3d $\mathcal{N}=2$ $SU(N)_k$
Chern-Simons gauge theories with $F$ fundamental and $\bar{F}$ anti-fundamental
matter fields. The quantum flat direction on the Coulomb branch differs so much
from the classical one and from the one of the vector-like theories. In many
cases, the Coulomb branch is parametrized by the dressed monopoles. As is found
from the computation of the superconformal index, these dressed operators at
first sight appear to be dressed by massive elementary fields which don't seem
to contribute to the low-energy physics. We argue that these dressed fields can
be interpreted as a non-abelian monopole dressed (or not dressed) by massless
matter fields. Based on this analysis, we will report on the s-confinement
phases with non-trivial monopole operators, which is consistent with the
duality proposals \cite{Aharony:2014uya, Aharony:2013dha}. Along these studies,
we find that the duality reported in \cite{Aharony:2014uya} must be modified
when $k=\pm \frac{1}{2}(F-\bar{F})$ in order to have a correct duality map of
the baryonic operators.
|
[
{
"created": "Wed, 6 May 2020 12:23:16 GMT",
"version": "v1"
},
{
"created": "Mon, 11 May 2020 03:56:19 GMT",
"version": "v2"
}
] |
2020-05-12
|
[
[
"Nii",
"Keita",
""
]
] |
We elaborate on quantum moduli spaces in 3d $\mathcal{N}=2$ $SU(N)_k$ Chern-Simons gauge theories with $F$ fundamental and $\bar{F}$ anti-fundamental matter fields. The quantum flat direction on the Coulomb branch differs so much from the classical one and from the one of the vector-like theories. In many cases, the Coulomb branch is parametrized by the dressed monopoles. As is found from the computation of the superconformal index, these dressed operators at first sight appear to be dressed by massive elementary fields which don't seem to contribute to the low-energy physics. We argue that these dressed fields can be interpreted as a non-abelian monopole dressed (or not dressed) by massless matter fields. Based on this analysis, we will report on the s-confinement phases with non-trivial monopole operators, which is consistent with the duality proposals \cite{Aharony:2014uya, Aharony:2013dha}. Along these studies, we find that the duality reported in \cite{Aharony:2014uya} must be modified when $k=\pm \frac{1}{2}(F-\bar{F})$ in order to have a correct duality map of the baryonic operators.
| 7.257286
| 7.689379
| 8.838819
| 6.746528
| 7.233567
| 7.615864
| 7.589582
| 7.330688
| 7.279011
| 10.484806
| 7.043631
| 7.190554
| 7.723547
| 6.960384
| 6.826757
| 6.953176
| 7.077175
| 7.237797
| 6.797127
| 7.655789
| 6.971548
|
hep-th/0501030
|
Anirban Saha
|
Rabin Banerjee, Pradip Mukherjee, Anirban Saha
|
Bosonic p-brane and A--D--M decomposition
|
LaTeX, 14 pages, Title changed, paper extended, references added,
this version is to appear in Phys. Rev. D
|
Phys.Rev. D72 (2005) 066015
|
10.1103/PhysRevD.72.066015
| null |
hep-th
| null |
A master action for the bosonic p-brane, interpolating between the
Nambu--Goto and Polyakov formalisms, is discussed. The fundamental
arbitrariness of extended structures (p-brane) embeded in space time manifold
has been exploited to build an independent metric in the brane world volume.
The cosmological term for the generic case follows naturally in the scheme. The
dynamics of the structure leads to a natural emergence of the A--D--M like
split of this world volume. The role of the gauge symmetries vis-\`{a}-vis
reparametrization symmetries is analyzed by a constrained Hamiltonian approach.
|
[
{
"created": "Thu, 6 Jan 2005 11:11:54 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Sep 2005 10:27:46 GMT",
"version": "v2"
},
{
"created": "Thu, 22 Sep 2005 10:38:24 GMT",
"version": "v3"
}
] |
2009-11-11
|
[
[
"Banerjee",
"Rabin",
""
],
[
"Mukherjee",
"Pradip",
""
],
[
"Saha",
"Anirban",
""
]
] |
A master action for the bosonic p-brane, interpolating between the Nambu--Goto and Polyakov formalisms, is discussed. The fundamental arbitrariness of extended structures (p-brane) embeded in space time manifold has been exploited to build an independent metric in the brane world volume. The cosmological term for the generic case follows naturally in the scheme. The dynamics of the structure leads to a natural emergence of the A--D--M like split of this world volume. The role of the gauge symmetries vis-\`{a}-vis reparametrization symmetries is analyzed by a constrained Hamiltonian approach.
| 19.809416
| 14.141125
| 16.800264
| 14.078278
| 14.590771
| 14.527439
| 15.237361
| 14.67886
| 14.686203
| 20.416431
| 14.579566
| 15.561681
| 16.030291
| 15.180561
| 14.491052
| 14.911581
| 14.91885
| 15.037305
| 15.441051
| 15.004941
| 15.366461
|
1812.11756
|
Daniel Brattan K
|
Daniel K. Brattan
|
The curious behaviour of the scale invariant $(2+1)$-dimensional
Lifshitz scalar
|
9 pages, 3 figures + 3 pages supplementary material, 2 supplementary
figures
| null | null | null |
hep-th cond-mat.quant-gas math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We demonstrate the existence of an exactly marginal deformation, with
derivative coupling, about the free theory of a $(2+1)$-dimensional charged,
Lifshitz scalar with dynamic critical exponent $z=4$ and particle-hole
asymmetry. We show that the other classically scale invariant interactions
(consistent with translational and rotational invariance) break the scale
symmetry at the quantum level and find a trace identity for the
stress-energy-momentum tensor complex. We conjecture the existence of bound
states of $(N+1)$-particles, as a manifestation of broken scale invariance,
when we turn on an attractive, classically scale invariant, polynomial
interaction in charged, scalar Lifshitz field theories with dynamic critical
exponent $z=2N$, $n \in \mathbb{N}$.
|
[
{
"created": "Mon, 31 Dec 2018 10:51:41 GMT",
"version": "v1"
}
] |
2019-01-01
|
[
[
"Brattan",
"Daniel K.",
""
]
] |
We demonstrate the existence of an exactly marginal deformation, with derivative coupling, about the free theory of a $(2+1)$-dimensional charged, Lifshitz scalar with dynamic critical exponent $z=4$ and particle-hole asymmetry. We show that the other classically scale invariant interactions (consistent with translational and rotational invariance) break the scale symmetry at the quantum level and find a trace identity for the stress-energy-momentum tensor complex. We conjecture the existence of bound states of $(N+1)$-particles, as a manifestation of broken scale invariance, when we turn on an attractive, classically scale invariant, polynomial interaction in charged, scalar Lifshitz field theories with dynamic critical exponent $z=2N$, $n \in \mathbb{N}$.
| 11.008422
| 11.038958
| 12.441938
| 10.564111
| 10.845207
| 10.903313
| 10.814803
| 10.33282
| 10.247996
| 11.855012
| 10.406495
| 10.477355
| 10.995487
| 10.51429
| 10.862732
| 10.542919
| 10.578055
| 10.604208
| 10.60531
| 11.207813
| 10.366433
|
hep-th/9509004
|
Barry McCoy
|
Barry M. McCoy and William P. Orrick
|
Analyticity and Integrabiity in the Chiral Potts Model
|
31 pages in harvmac including 9 tables, several misprints eliminated
|
J.Statist.Phys. 83 (1996) 839
|
10.1007/BF02179547
|
ITPSB 95-14
|
hep-th
| null |
We study the perturbation theory for the general non-integrable chiral Potts
model depending on two chiral angles and a strength parameter and show how the
analyticity of the ground state energy and correlation functions dramatically
increases when the angles and the strength parameter satisfy the integrability
condition. We further specialize to the superintegrable case and verify that a
sum rule is obeyed.
|
[
{
"created": "Fri, 1 Sep 1995 17:53:11 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Sep 1995 15:42:13 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"McCoy",
"Barry M.",
""
],
[
"Orrick",
"William P.",
""
]
] |
We study the perturbation theory for the general non-integrable chiral Potts model depending on two chiral angles and a strength parameter and show how the analyticity of the ground state energy and correlation functions dramatically increases when the angles and the strength parameter satisfy the integrability condition. We further specialize to the superintegrable case and verify that a sum rule is obeyed.
| 13.702415
| 11.74491
| 16.16663
| 12.36658
| 12.346498
| 12.574492
| 11.897317
| 11.851323
| 11.183779
| 16.80258
| 11.574067
| 12.253712
| 13.959275
| 12.295528
| 12.319496
| 12.313238
| 12.429975
| 12.674541
| 12.441642
| 13.592259
| 11.653674
|
1906.09361
|
Chong-Sun Chu
|
Chong-Sun Chu and Yoji Koyama
|
Memory Effect in Anti-de Sitter Spacetime
|
v2: 33 pages, 2 figures. Add comments in introduction section
clarifying our results in comparsion with those of the literature
|
Phys. Rev. D 100, 104034 (2019)
|
10.1103/PhysRevD.100.104034
|
NCTS-TH/1903
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The geodesic deviation of a pair of test particles is an natural observable
for the gravitational memory effect. Nevertheless in curved spacetime, this
observable is plagued with various issues that need to be clarified before one
can extract the essential part that is related to the gravitational radiation.
In this paper we consider the Anti deSitter space as an example and analyze
this observable carefully. We show that by employing the Fermi Normal
Coordinates around the geodesic of one of the particles, one can elegantly
separate out the curvature contribution of the background spacetime to the
geodesic deviation from the contribution of the gravitational wave. The
gravitational wave memory obtained this way depends linearly and locally on the
retarded metric perturbation caused by the gravitational wave, and, remarkably,
it takes on exactly the same formula (1) as in the flat case. To determine the
memory, in addition to the standard tail contribution to the gravitational
radiation, one need to take into account of the contribution from the reflected
gravitational wave off the AdS boundary. For general curved spacetime, our
analysis suggests that the use of a certain coordinate system adapted to the
local geodesic (e.g. the Fermi normal coordinates system in the AdS case) would
allow one to dissect the geodesic deviation of test particles and extract the
relevant contribution to define the memory due to gravitational radiation.
|
[
{
"created": "Sat, 22 Jun 2019 01:20:33 GMT",
"version": "v1"
},
{
"created": "Sun, 29 Sep 2019 14:26:33 GMT",
"version": "v2"
}
] |
2019-11-27
|
[
[
"Chu",
"Chong-Sun",
""
],
[
"Koyama",
"Yoji",
""
]
] |
The geodesic deviation of a pair of test particles is an natural observable for the gravitational memory effect. Nevertheless in curved spacetime, this observable is plagued with various issues that need to be clarified before one can extract the essential part that is related to the gravitational radiation. In this paper we consider the Anti deSitter space as an example and analyze this observable carefully. We show that by employing the Fermi Normal Coordinates around the geodesic of one of the particles, one can elegantly separate out the curvature contribution of the background spacetime to the geodesic deviation from the contribution of the gravitational wave. The gravitational wave memory obtained this way depends linearly and locally on the retarded metric perturbation caused by the gravitational wave, and, remarkably, it takes on exactly the same formula (1) as in the flat case. To determine the memory, in addition to the standard tail contribution to the gravitational radiation, one need to take into account of the contribution from the reflected gravitational wave off the AdS boundary. For general curved spacetime, our analysis suggests that the use of a certain coordinate system adapted to the local geodesic (e.g. the Fermi normal coordinates system in the AdS case) would allow one to dissect the geodesic deviation of test particles and extract the relevant contribution to define the memory due to gravitational radiation.
| 8.677599
| 8.754706
| 8.362027
| 8.451366
| 8.709268
| 8.783724
| 8.89947
| 8.675116
| 7.978706
| 8.711134
| 8.649049
| 8.238181
| 8.381274
| 8.222467
| 8.294111
| 8.435061
| 8.161902
| 8.161473
| 8.153551
| 8.329206
| 8.177729
|
2111.12845
|
Yasuaki Hikida
|
Thomas Creutzig and Yasuaki Hikida
|
FZZ-triality and large $\mathcal{N}=4$ super Liouville theory
|
41 pages, minor modifications, references added, published version
| null |
10.1016/j.nuclphysb.2022.115734
|
YITP-21-144
|
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We examine dualities of two dimensional conformal field theories by applying
the methods developed in previous works. We first derive the duality between
$SL(2|1)_k/(SL(2)_k \otimes U(1))$ coset and Witten's cigar model or
sine-Liouville theory. The latter two models are
Fateev-Zamolodchikov-Zamolodchikov (FZZ-)dual to each other, hence the relation
of the three models is named FZZ-triality. These results are used to study
correlator correspondences between large $\mathcal{N}=4$ super Liouville theory
and a coset of the form $Y(k_1,k_2)/SL(2)_{k_1 +k_2}$, where $Y(k_1 , k_2)$
consists of two $SL(2|1)_{k_i}$ and free bosons or equivalently two $U(1)$
cosets of $D(2,1;k_i -1)$ at level one. These correspondences are a main result
of this paper. The FZZ-triality acts as a seed of the correspondence, which in
particular implies a hidden $SL(2)_{k'}$ in $SL(2|1)_k$ or $D(2,1 ; k-1)_1$.
The relation of levels is $k' -1 = 1/(k-1)$. We also construct boundary actions
in sine-Liouville theory as another use of the FZZ-triality. Furthermore, we
generalize the FZZ-triality to the case with $SL(n|1)_k/(SL(n)_k \otimes U(1))$
for arbitrary $n>2$.
|
[
{
"created": "Wed, 24 Nov 2021 23:36:36 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Mar 2022 02:55:17 GMT",
"version": "v2"
}
] |
2022-04-06
|
[
[
"Creutzig",
"Thomas",
""
],
[
"Hikida",
"Yasuaki",
""
]
] |
We examine dualities of two dimensional conformal field theories by applying the methods developed in previous works. We first derive the duality between $SL(2|1)_k/(SL(2)_k \otimes U(1))$ coset and Witten's cigar model or sine-Liouville theory. The latter two models are Fateev-Zamolodchikov-Zamolodchikov (FZZ-)dual to each other, hence the relation of the three models is named FZZ-triality. These results are used to study correlator correspondences between large $\mathcal{N}=4$ super Liouville theory and a coset of the form $Y(k_1,k_2)/SL(2)_{k_1 +k_2}$, where $Y(k_1 , k_2)$ consists of two $SL(2|1)_{k_i}$ and free bosons or equivalently two $U(1)$ cosets of $D(2,1;k_i -1)$ at level one. These correspondences are a main result of this paper. The FZZ-triality acts as a seed of the correspondence, which in particular implies a hidden $SL(2)_{k'}$ in $SL(2|1)_k$ or $D(2,1 ; k-1)_1$. The relation of levels is $k' -1 = 1/(k-1)$. We also construct boundary actions in sine-Liouville theory as another use of the FZZ-triality. Furthermore, we generalize the FZZ-triality to the case with $SL(n|1)_k/(SL(n)_k \otimes U(1))$ for arbitrary $n>2$.
| 6.241972
| 6.347749
| 7.041284
| 5.942322
| 6.470212
| 6.145594
| 6.115241
| 6.162258
| 5.773779
| 7.20804
| 5.879545
| 5.883407
| 6.325495
| 5.983129
| 6.018589
| 5.966388
| 6.010776
| 6.025791
| 6.045322
| 6.529837
| 6.032335
|
hep-th/0310275
|
Bodo Geyer
|
D. M"ulsch and B. Geyer
|
Cohomological extension of Spin(7)-invariant super Yang-Mills theory in
eight dimensions
|
15 pages, Latex
|
Nucl.Phys. B684 (2004) 351-368
|
10.1016/j.nuclphysb.2004.02.011
| null |
hep-th
| null |
It is shown that the Spin(7)-invariant super Yang-Mills theory in euight
dimensions, which relies on the existence of the Caley invariant, permits the
construction of a cohomological extension, which relies on the existence of the
eight-dimensional analogue of the Pontryagin invariant arising from a quartic
chiral primary operator.
|
[
{
"created": "Thu, 30 Oct 2003 08:29:26 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"M\"ulsch",
"D.",
""
],
[
"Geyer",
"B.",
""
]
] |
It is shown that the Spin(7)-invariant super Yang-Mills theory in euight dimensions, which relies on the existence of the Caley invariant, permits the construction of a cohomological extension, which relies on the existence of the eight-dimensional analogue of the Pontryagin invariant arising from a quartic chiral primary operator.
| 18.965837
| 19.909149
| 19.787327
| 17.258228
| 18.169104
| 17.44775
| 20.812616
| 19.014877
| 18.327837
| 22.889404
| 17.639351
| 17.432436
| 18.14579
| 16.739519
| 17.769747
| 16.943659
| 17.865234
| 17.258364
| 18.317732
| 17.332079
| 16.575718
|
hep-th/0502039
|
Tonguc Rador
|
Tongu\c{c} Rador
|
Vibrating Winding Branes, Wrapping Democracy and Stabilization of Extra
Dimensions in Dilaton Gravity
|
Added a section discussing the linear and non-linear stability of the
equilibrium point of the scale factors of the extra dimensions. Corrected a
typo in the original field equations and other typos. Added and changed
references. Final version appeared in JHEP
|
JHEP0506:001,2005
|
10.1088/1126-6708/2005/06/001
| null |
hep-th gr-qc
| null |
We show that, in the context of dilaton gravity, a recently proposed
democratic principle for intersection possibilities of branes winding around
extra dimensions yield stabilization, even with the inclusion of momentum modes
of the wrapped branes on top of the winding modes. The constraints for
stabilization massaged by string theory inputs forces the number of observed
dimensions to be three. We also discuss consequences of adding ordinary matter
living in the observed dimensions.
|
[
{
"created": "Thu, 3 Feb 2005 11:27:19 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Feb 2005 14:15:53 GMT",
"version": "v2"
},
{
"created": "Tue, 21 Jun 2005 12:50:50 GMT",
"version": "v3"
}
] |
2009-11-11
|
[
[
"Rador",
"Tonguç",
""
]
] |
We show that, in the context of dilaton gravity, a recently proposed democratic principle for intersection possibilities of branes winding around extra dimensions yield stabilization, even with the inclusion of momentum modes of the wrapped branes on top of the winding modes. The constraints for stabilization massaged by string theory inputs forces the number of observed dimensions to be three. We also discuss consequences of adding ordinary matter living in the observed dimensions.
| 32.6534
| 31.51898
| 30.069685
| 27.544098
| 32.056133
| 29.568052
| 29.795389
| 29.790352
| 28.285332
| 34.258568
| 29.110405
| 30.683027
| 29.235302
| 29.593201
| 29.598301
| 29.030144
| 29.988216
| 30.561882
| 29.083334
| 30.519257
| 29.898613
|
hep-th/0608170
|
Haji Ahmedov
|
H. Ahmedov and I. H. Duru
|
Casimir Energy due to a Semi-Infinite Plane Boundary
|
4 pages, Latex
| null | null | null |
hep-th
| null |
Following the derivation of the Green function for the massless scalar field
satisfying the Dirichlet boundary condition on the Plane (x > 0, y = 0), we
calculate the Casimir energy.
|
[
{
"created": "Thu, 24 Aug 2006 14:11:21 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Aug 2006 11:45:36 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Ahmedov",
"H.",
""
],
[
"Duru",
"I. H.",
""
]
] |
Following the derivation of the Green function for the massless scalar field satisfying the Dirichlet boundary condition on the Plane (x > 0, y = 0), we calculate the Casimir energy.
| 10.058406
| 8.884128
| 10.230227
| 9.198162
| 10.008798
| 10.151899
| 8.535716
| 8.287773
| 8.3115
| 9.119839
| 9.711405
| 9.409039
| 9.598606
| 9.254045
| 9.180536
| 8.942285
| 8.711528
| 8.775981
| 9.224853
| 9.658266
| 8.9816
|
hep-th/9312012
| null |
V. V. Dodonov and V. I. Man'ko
|
New relations for two-dimensional Hermite polynomials
|
17 pages
|
J.Math.Phys. 35 (1994) 4277-4294
|
10.1063/1.530853
|
Naples University INFN-NA-IV-93/33; DSF-T-93/33
|
hep-th math.CA
| null |
The effective formulas reducing the two-dimensional Hermite polynomials to
the classical (one-dimensional) orthogonal polynomials are given. New
one-parameter generating functions for these polynomials are derived.
Asymptotical formulas for large values of indices are found. The applications
to the squeezed one-mode states and to the time-dependent quantum harmonic
oscillator are considered.
|
[
{
"created": "Thu, 2 Dec 1993 18:16:31 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Dodonov",
"V. V.",
""
],
[
"Man'ko",
"V. I.",
""
]
] |
The effective formulas reducing the two-dimensional Hermite polynomials to the classical (one-dimensional) orthogonal polynomials are given. New one-parameter generating functions for these polynomials are derived. Asymptotical formulas for large values of indices are found. The applications to the squeezed one-mode states and to the time-dependent quantum harmonic oscillator are considered.
| 11.525943
| 12.72039
| 13.170728
| 10.04145
| 11.30611
| 12.599599
| 12.579965
| 10.975229
| 10.032751
| 13.294782
| 10.979318
| 11.166823
| 11.530907
| 10.851327
| 10.880816
| 10.861124
| 11.278517
| 11.200113
| 10.702103
| 11.609139
| 11.032872
|
hep-th/0002105
|
Cesar D. Fosco
|
I. J. R. Aitchison and C. D. Fosco
|
On the chiral and deconfinement phase transitions in parity-conserving
QED_3 at finite temperature
|
1 reference added
|
Nucl.Phys. B578 (2000) 199-214
|
10.1016/S0550-3213(00)00197-8
| null |
hep-th
| null |
We present some results about the interplay between the chiral and
deconfinement phase transitions in parity-conserving QED3 (with N flavours of
massless 4 component fermions) at finite temperature. Following Grignani et al
(Phys. Rev. D53, 7157 (1996), Nucl. Phys. B473, 143 (1996)), confinement is
discussed in terms of an effective Sine-Gordon theory for the timelike
component of the gauge field A_0. But whereas in the references above the
fermion mass m is a Lagrangian parameter, we consider the m=0 case and ask
whether an effective S-G theory can again be derived with m replaced by the
dynamically generated mass Sigma which appears below T_{ch}, the critical
temperature for the chiral phase transition. The fermion and gauge sectors are
strongly interdependent, but as a first approximation we decouple them by
taking Sigma to be a constant, depending only on the constant part of the gauge
field. We argue that the existence of a low-temperature confining phase may be
associated with the generation of Sigma; and that, analogously, the vanishing
of Sigma for T > T_{ch} drives the system to its deconfining phase. The effect
of the gauge field dynamics on mass generation is also indicated. (38kb)
|
[
{
"created": "Sun, 13 Feb 2000 22:32:12 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Feb 2000 19:31:18 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Aitchison",
"I. J. R.",
""
],
[
"Fosco",
"C. D.",
""
]
] |
We present some results about the interplay between the chiral and deconfinement phase transitions in parity-conserving QED3 (with N flavours of massless 4 component fermions) at finite temperature. Following Grignani et al (Phys. Rev. D53, 7157 (1996), Nucl. Phys. B473, 143 (1996)), confinement is discussed in terms of an effective Sine-Gordon theory for the timelike component of the gauge field A_0. But whereas in the references above the fermion mass m is a Lagrangian parameter, we consider the m=0 case and ask whether an effective S-G theory can again be derived with m replaced by the dynamically generated mass Sigma which appears below T_{ch}, the critical temperature for the chiral phase transition. The fermion and gauge sectors are strongly interdependent, but as a first approximation we decouple them by taking Sigma to be a constant, depending only on the constant part of the gauge field. We argue that the existence of a low-temperature confining phase may be associated with the generation of Sigma; and that, analogously, the vanishing of Sigma for T > T_{ch} drives the system to its deconfining phase. The effect of the gauge field dynamics on mass generation is also indicated. (38kb)
| 8.706388
| 9.526391
| 9.195255
| 8.642128
| 9.838868
| 9.031392
| 9.57644
| 8.592402
| 8.558718
| 10.398333
| 8.619761
| 8.635875
| 8.652166
| 8.38695
| 8.493396
| 8.536552
| 8.755095
| 8.608259
| 8.495733
| 8.5207
| 8.541011
|
1401.1833
|
Robert Finkelstein J
|
Robert J. Finkelstein
|
The Preon Sector of the SLq(2) Model and the Binding Problem
|
arXiv admin note: text overlap with arXiv:1301.6440
| null |
10.1142/S0217751X14500924
| null |
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
There are suggestive experimental indications that the leptons, neutrinos,
and quarks are composite and that their structure is described by the quantum
group SLq(2). Since the hypothetical preons must be very heavy relative to the
masses of the leptons, neutrinos, and quarks, there must be a very strong
binding field to permit these composite particles to form. Unfortunately there
are no experiments direct enough to establish the order of magnitude needed to
make the SLq(2) Lagrangian dynamics quantitative. It is possible, however, to
parametrize the preon masses and interactions that would be necessary to
stabilize the three particle composite representing the leptons, neutrinos, and
quarks. In this note we examine possible parametrizations of the masses and the
interactions of these hypothetical structures. We also note an alternative view
of SLq(2) preons.
|
[
{
"created": "Wed, 8 Jan 2014 21:28:20 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"Finkelstein",
"Robert J.",
""
]
] |
There are suggestive experimental indications that the leptons, neutrinos, and quarks are composite and that their structure is described by the quantum group SLq(2). Since the hypothetical preons must be very heavy relative to the masses of the leptons, neutrinos, and quarks, there must be a very strong binding field to permit these composite particles to form. Unfortunately there are no experiments direct enough to establish the order of magnitude needed to make the SLq(2) Lagrangian dynamics quantitative. It is possible, however, to parametrize the preon masses and interactions that would be necessary to stabilize the three particle composite representing the leptons, neutrinos, and quarks. In this note we examine possible parametrizations of the masses and the interactions of these hypothetical structures. We also note an alternative view of SLq(2) preons.
| 10.615388
| 11.047997
| 11.127951
| 10.703691
| 10.824057
| 11.182761
| 10.695165
| 10.86852
| 10.667265
| 12.512735
| 10.672151
| 10.118547
| 10.620864
| 10.24166
| 10.51239
| 10.224881
| 10.186748
| 10.55876
| 10.185652
| 10.737944
| 10.181136
|
hep-th/9308043
| null |
Bergfinnur Durhuus and Thordur Jonsson
|
Classification and construction of unitary topological field theories in
two dimensions
|
12 pages, latex
|
J.Math.Phys. 35 (1994) 5306-5313
|
10.1063/1.530752
| null |
hep-th
| null |
We prove that unitary two-dimensional topological field theories are uniquely
characterized by $n$ positive real numbers $\lambda _1,\ldots \lambda _n$ which
can be regarded as the eigenvalues of a hermitean handle creation operator. The
number $n$ is the dimension of the Hilbert space associated with the circle and
the partition functions for closed surfaces have the form $$
Z_g=\sum_{i=1}^{n}\lambda _i^{g-1} $$ where $g$ is the genus. The eigenvalues
can be arbitary positive numbers. We show how such a theory can be constructed
on triangulated surfaces.
|
[
{
"created": "Mon, 9 Aug 1993 18:10:05 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Durhuus",
"Bergfinnur",
""
],
[
"Jonsson",
"Thordur",
""
]
] |
We prove that unitary two-dimensional topological field theories are uniquely characterized by $n$ positive real numbers $\lambda _1,\ldots \lambda _n$ which can be regarded as the eigenvalues of a hermitean handle creation operator. The number $n$ is the dimension of the Hilbert space associated with the circle and the partition functions for closed surfaces have the form $$ Z_g=\sum_{i=1}^{n}\lambda _i^{g-1} $$ where $g$ is the genus. The eigenvalues can be arbitary positive numbers. We show how such a theory can be constructed on triangulated surfaces.
| 6.743734
| 6.886005
| 7.58314
| 6.921394
| 7.404283
| 6.739234
| 6.990653
| 6.561654
| 6.70907
| 8.543271
| 6.429261
| 6.31041
| 6.840516
| 6.56331
| 6.667925
| 6.601822
| 6.502528
| 6.768851
| 6.702516
| 7.032383
| 6.338695
|
hep-th/9810101
|
Mikhail Plyushchay
|
Mikhail Plyushchay
|
Comment on "The relativistic particle with curvature and torsion of
world trajectory"
|
5 pages, LaTeX
| null | null | null |
hep-th
| null |
Gogilidze and Surovtsev have claimed recently (hep-th/9809191) that the
tachyonic sector can be removed from the spectrum of the relativistic particle
with curvature and torsion by a proper gauge choice. We show that the mass-spin
dependence obtained by them is incorrect and point out that their gauge surface
does not cross all the gauge orbits. We discuss the nature of the tachyonic
sector of the model and argue why it cannot be removed by any gauge fixing
procedure.
|
[
{
"created": "Wed, 14 Oct 1998 15:01:45 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Plyushchay",
"Mikhail",
""
]
] |
Gogilidze and Surovtsev have claimed recently (hep-th/9809191) that the tachyonic sector can be removed from the spectrum of the relativistic particle with curvature and torsion by a proper gauge choice. We show that the mass-spin dependence obtained by them is incorrect and point out that their gauge surface does not cross all the gauge orbits. We discuss the nature of the tachyonic sector of the model and argue why it cannot be removed by any gauge fixing procedure.
| 13.069856
| 9.412641
| 10.442198
| 9.879793
| 10.397899
| 9.810877
| 10.958548
| 10.51845
| 10.520642
| 12.709464
| 10.10252
| 9.235207
| 9.984634
| 9.470016
| 8.785857
| 9.179162
| 9.521496
| 9.107221
| 9.32584
| 9.880486
| 9.367895
|
hep-th/0504006
|
Muraari Vasudevan
|
Terry Gannon and Muraari Vasudevan
|
Charges of Exceptionally Twisted Branes
|
19 pages, 2 figures, LaTex2e, complete proofs of all statements,
updated bibliography
|
JHEP0507:035,2005
|
10.1088/1126-6708/2005/07/035
|
Alberta Thy 05-05
|
hep-th
| null |
The charges of the exceptionally twisted (D4 with triality and E6 with charge
conjugation) D-branes of WZW models are determined from the microscopic/CFT
point of view. The branes are labeled by twisted representations of the affine
algebra, and their charge is determined to be the ground state multiplicity of
the twisted representation. It is explicitly shown using Lie theory that the
charge groups of these twisted branes are the same as those of the untwisted
ones, confirming the macroscopic K-theoretic calculation. A key ingredient in
our proof is that, surprisingly, the G2 and F4 Weyl dimensions see the simple
currents of A2 and D4, respectively.
|
[
{
"created": "Fri, 1 Apr 2005 11:03:29 GMT",
"version": "v1"
},
{
"created": "Tue, 3 May 2005 18:12:39 GMT",
"version": "v2"
},
{
"created": "Wed, 1 Jun 2005 18:21:50 GMT",
"version": "v3"
},
{
"created": "Wed, 22 Jun 2005 09:30:12 GMT",
"version": "v4"
}
] |
2008-11-26
|
[
[
"Gannon",
"Terry",
""
],
[
"Vasudevan",
"Muraari",
""
]
] |
The charges of the exceptionally twisted (D4 with triality and E6 with charge conjugation) D-branes of WZW models are determined from the microscopic/CFT point of view. The branes are labeled by twisted representations of the affine algebra, and their charge is determined to be the ground state multiplicity of the twisted representation. It is explicitly shown using Lie theory that the charge groups of these twisted branes are the same as those of the untwisted ones, confirming the macroscopic K-theoretic calculation. A key ingredient in our proof is that, surprisingly, the G2 and F4 Weyl dimensions see the simple currents of A2 and D4, respectively.
| 14.273476
| 13.712533
| 14.710218
| 11.867331
| 13.307993
| 13.425817
| 13.822813
| 12.895957
| 11.486872
| 16.231853
| 12.60817
| 12.997811
| 13.885294
| 12.716075
| 13.027204
| 13.211808
| 12.860676
| 12.47198
| 12.953056
| 14.363189
| 13.243595
|
hep-th/9210021
| null |
Xenia C. de la Ossa and Fernando Quevedo
|
Duality Symmetries from Non--Abelian Isometries in String Theories
|
18 pages, preprint NEIPH92-004, to be published in Nuclear Physics B.
(corrected minor typos and references, other minor changes)
|
Nucl.Phys. B403 (1993) 377-394
|
10.1016/0550-3213(93)90041-M
| null |
hep-th gr-qc
| null |
In string theory it is known that abelian isometries in the sigma model lead
to target space duality. We generalize this duality to backgrounds with
non--abelian isometries. The procedure we follow consists of gauging the
isometries of the original action and constraining the field strength $F$ to
vanish. This new action generates dual theories by integrating over either the
Lagrange multipliers that set F=0 or the gauge fields. We find that this new
duality transformation maps spaces with non--abelian isometries to spaces that
may have no isometries at all. This suggests that duality symmetries in string
theories need to be understood in a more general context without regard to the
existence of continuous isometries on the target space (this is also indicated
by the existence of duality in string compactifications on Calabi--Yau
manifolds which have no continuous isometries). Physically interesting examples
to which our formalism apply are the Schwarzschild metric and the 4D charged
dilatonic black hole. For these spherically symmetric black holes in four
dimensions, the dual backgrounds are presented and explicitly shown to be new
solutions of the leading order string equations. Some of these new backgrounds
are found to have no continuous isometries (except for time translations) and
also have naked singularities.
|
[
{
"created": "Mon, 5 Oct 1992 14:08:30 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Feb 1993 13:06:34 GMT",
"version": "v2"
}
] |
2009-10-22
|
[
[
"de la Ossa",
"Xenia C.",
""
],
[
"Quevedo",
"Fernando",
""
]
] |
In string theory it is known that abelian isometries in the sigma model lead to target space duality. We generalize this duality to backgrounds with non--abelian isometries. The procedure we follow consists of gauging the isometries of the original action and constraining the field strength $F$ to vanish. This new action generates dual theories by integrating over either the Lagrange multipliers that set F=0 or the gauge fields. We find that this new duality transformation maps spaces with non--abelian isometries to spaces that may have no isometries at all. This suggests that duality symmetries in string theories need to be understood in a more general context without regard to the existence of continuous isometries on the target space (this is also indicated by the existence of duality in string compactifications on Calabi--Yau manifolds which have no continuous isometries). Physically interesting examples to which our formalism apply are the Schwarzschild metric and the 4D charged dilatonic black hole. For these spherically symmetric black holes in four dimensions, the dual backgrounds are presented and explicitly shown to be new solutions of the leading order string equations. Some of these new backgrounds are found to have no continuous isometries (except for time translations) and also have naked singularities.
| 6.954678
| 6.826173
| 6.842352
| 6.574876
| 6.594778
| 6.571524
| 6.69884
| 6.535468
| 6.62515
| 7.723256
| 6.561887
| 6.679377
| 6.812807
| 6.680154
| 6.499314
| 6.709117
| 6.811475
| 6.753417
| 6.701155
| 6.8779
| 6.697891
|
hep-th/0411228
|
J. M. C. Malbouisson
|
H. Queiroz, J. C. da Silva, F. C. Khanna, J. M. C. Malbouisson, M.
Revzen, A. E. Santana
|
Thermofield Dynamics and Casimir Effect for Fermions
|
21 pages, 3 figures, to appear in Annals of Physics
|
Annals Phys. 317 (2005) 220-237; Erratum-ibid. 321 (2006)
1274-1275
|
10.1016/j.aop.2004.11.011
| null |
hep-th
| null |
A generalization of the Bogoliubov transformation is developed to describe a
space compactified fermionic field. The method is the fermionic counterpart of
the formalism introduced earlier for bosons (J. C. da Silva, A. Matos Neto, F.
C. Khanna and A. E. Santana, Phys. Rev. A 66 (2002) 052101), and is based on
the thermofield dynamics approach. We analyse the energy-momentum tensor for
the Casimir effect of a free massless fermion field in a $d$-dimensional box at
finite temperature. As a particular case the Casimir energy and pressure for
the field confined in a 3-dimensional parallelepiped box are calculated. It is
found that the attractive or repulsive nature of the Casimir pressure on
opposite faces changes depending on the relative magnitude of the edges. We
also determine the temperature at which the Casimir pressure in a cubic boc
changes sign and estimate its value when the edge of the cybe is of the order
of confining lengths for baryons.
|
[
{
"created": "Wed, 24 Nov 2004 23:01:21 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Queiroz",
"H.",
""
],
[
"da Silva",
"J. C.",
""
],
[
"Khanna",
"F. C.",
""
],
[
"Malbouisson",
"J. M. C.",
""
],
[
"Revzen",
"M.",
""
],
[
"Santana",
"A. E.",
""
]
] |
A generalization of the Bogoliubov transformation is developed to describe a space compactified fermionic field. The method is the fermionic counterpart of the formalism introduced earlier for bosons (J. C. da Silva, A. Matos Neto, F. C. Khanna and A. E. Santana, Phys. Rev. A 66 (2002) 052101), and is based on the thermofield dynamics approach. We analyse the energy-momentum tensor for the Casimir effect of a free massless fermion field in a $d$-dimensional box at finite temperature. As a particular case the Casimir energy and pressure for the field confined in a 3-dimensional parallelepiped box are calculated. It is found that the attractive or repulsive nature of the Casimir pressure on opposite faces changes depending on the relative magnitude of the edges. We also determine the temperature at which the Casimir pressure in a cubic boc changes sign and estimate its value when the edge of the cybe is of the order of confining lengths for baryons.
| 7.170714
| 8.293466
| 8.40761
| 7.732244
| 7.787481
| 8.932083
| 8.519853
| 8.414942
| 8.022047
| 8.679992
| 7.683817
| 7.392154
| 7.475099
| 6.987391
| 6.989995
| 7.012379
| 7.061036
| 7.296187
| 7.076621
| 7.360689
| 7.151846
|
hep-th/0001053
|
Hirosi Ooguri
|
Juan Maldacena and Hirosi Ooguri
|
Strings in AdS_3 and the SL(2,R) WZW Model. Part 1: The Spectrum
|
44 pages, 7 figures, LaTeX; minor changes, references added
|
J.Math.Phys.42:2929-2960,2001
|
10.1063/1.1377273
|
CALT-68-2245, CITUSC/99-010, HUTP-99/A027, LBNL-44375, UCB-PTH-99/48
|
hep-th
| null |
In this paper we study the spectrum of bosonic string theory on AdS_3. We
study classical solutions of the SL(2,R) WZW model, including solutions for
long strings with non-zero winding number. We show that the model has a
symmetry relating string configurations with different winding numbers. We then
study the Hilbert space of the WZW model, including all states related by the
above symmetry. This leads to a precise description of long strings. We prove a
no-ghost theorem for all the representations that are involved and discuss the
scattering of the long string.
|
[
{
"created": "Mon, 10 Jan 2000 19:32:52 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Jan 2000 00:46:35 GMT",
"version": "v2"
},
{
"created": "Fri, 19 May 2000 19:09:17 GMT",
"version": "v3"
}
] |
2009-09-17
|
[
[
"Maldacena",
"Juan",
""
],
[
"Ooguri",
"Hirosi",
""
]
] |
In this paper we study the spectrum of bosonic string theory on AdS_3. We study classical solutions of the SL(2,R) WZW model, including solutions for long strings with non-zero winding number. We show that the model has a symmetry relating string configurations with different winding numbers. We then study the Hilbert space of the WZW model, including all states related by the above symmetry. This leads to a precise description of long strings. We prove a no-ghost theorem for all the representations that are involved and discuss the scattering of the long string.
| 8.277282
| 7.528594
| 8.815434
| 7.196981
| 7.421371
| 7.520323
| 7.58598
| 7.114042
| 7.379068
| 8.570468
| 7.386946
| 7.351684
| 8.198709
| 7.560246
| 7.658764
| 7.589653
| 7.162302
| 7.35611
| 7.578068
| 7.843342
| 7.520456
|
1912.05188
|
Cheng-Yang Lee
|
Cheng-Yang Lee
|
Spin-half mass dimension one fermions and their higher-spin
generalizations
|
24 pages, submitted to the EPJ Special Topic on Elko and mass
dimension one fermions
| null |
10.1140/epjst/e2020-900277-x
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A self-contained review on spin-half mass dimension one fermions and their
higher-spin generalizations is presented. Starting from the two-component
left-handed Weyl spinors, the Dirac spinors and Elko (eigenspinors of the
charge conjugation operator) are constructed. After elaborating on their
similarities and differences, we generalize the spin-half Elko to higher-spin.
The field operators constructed from Elko and their higher-spin generalizations
are shown to be of mass dimension one with positive-definite free Hamiltonians.
The physical significance of higher-spin mass dimension one particles and
further extensions in the context of Lounesto classification are discussed.
|
[
{
"created": "Wed, 11 Dec 2019 09:07:57 GMT",
"version": "v1"
}
] |
2020-10-28
|
[
[
"Lee",
"Cheng-Yang",
""
]
] |
A self-contained review on spin-half mass dimension one fermions and their higher-spin generalizations is presented. Starting from the two-component left-handed Weyl spinors, the Dirac spinors and Elko (eigenspinors of the charge conjugation operator) are constructed. After elaborating on their similarities and differences, we generalize the spin-half Elko to higher-spin. The field operators constructed from Elko and their higher-spin generalizations are shown to be of mass dimension one with positive-definite free Hamiltonians. The physical significance of higher-spin mass dimension one particles and further extensions in the context of Lounesto classification are discussed.
| 7.752668
| 7.573683
| 8.419313
| 7.254623
| 7.105517
| 7.543131
| 6.743728
| 7.04724
| 7.398517
| 8.152564
| 7.514501
| 7.355806
| 7.76486
| 7.59323
| 7.541068
| 7.532531
| 7.608618
| 7.586212
| 7.358756
| 7.838657
| 7.720474
|
hep-th/0402018
|
Yun Soo Myung
|
Hungsoo Kim, Gil Sang Lee, Yun Soo Myung
|
Noncommutative spacetime effect on the slow-roll period of inflation
|
13 pages
|
Mod.Phys.Lett. A20 (2005) 271-284
|
10.1142/S0217732305016518
|
INJE-TP-04-01
|
hep-th astro-ph
| null |
We study how the noncommutative spacetime affects on inflation. First we
obtain the noncommutative power spectrum of the curvature perturbations
produced during inflation in the slow-roll approximation. This is the explicit
$k$-dependent power spectrum up to first order in slow-roll parameters
$\epsilon_1 \delta_1$ including the noncommutative parameter $\mu$. In order to
test the role of $\mu$ further, we calculate the noncommutative power spectrum
using the slow-roll expansion. We find corrections which arise from the change
of pivot scale and a noncommutative parameter with $\mu\not=$ constant. It
turns out that the noncommutative parameter $\mu$ could be considered as a
zeroth order slow-roll parameter and the noncommutative spacetime effect
suppresses the power spectrum.
|
[
{
"created": "Tue, 3 Feb 2004 03:16:13 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Kim",
"Hungsoo",
""
],
[
"Lee",
"Gil Sang",
""
],
[
"Myung",
"Yun Soo",
""
]
] |
We study how the noncommutative spacetime affects on inflation. First we obtain the noncommutative power spectrum of the curvature perturbations produced during inflation in the slow-roll approximation. This is the explicit $k$-dependent power spectrum up to first order in slow-roll parameters $\epsilon_1 \delta_1$ including the noncommutative parameter $\mu$. In order to test the role of $\mu$ further, we calculate the noncommutative power spectrum using the slow-roll expansion. We find corrections which arise from the change of pivot scale and a noncommutative parameter with $\mu\not=$ constant. It turns out that the noncommutative parameter $\mu$ could be considered as a zeroth order slow-roll parameter and the noncommutative spacetime effect suppresses the power spectrum.
| 7.830733
| 7.413961
| 7.68243
| 7.362935
| 8.666594
| 7.291051
| 7.709454
| 7.401139
| 7.154303
| 8.254282
| 6.976268
| 7.103307
| 7.668146
| 7.229169
| 7.337011
| 7.352357
| 7.153617
| 7.121392
| 7.385541
| 7.587945
| 7.127849
|
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