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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/0411256
|
Girma Hailu
|
Girma Hailu
|
Quantum Geometries of $A_{2}$
|
19 pages, more typos fixed and clarifying notes added
|
JHEP 0502:017,2005
|
10.1088/1126-6708/2005/02/017
| null |
hep-th
| null |
We solve $\mathcal{N}=1$ supersymmetric $A_{2}$ type $U(N)\times U(N)$ matrix
models obtained by deforming $\mathcal{N}=2$ with symmetric tree level
superpotentials of any degree exactly in the planar limit. These theories can
be geometrically engineered from string theories by wrapping D-branes over
Calabi-Yau threefolds and we construct the corresponding exact quantum
geometries.
|
[
{
"created": "Mon, 29 Nov 2004 20:13:29 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Dec 2004 19:07:48 GMT",
"version": "v2"
},
{
"created": "Mon, 24 Jan 2005 17:38:24 GMT",
"version": "v3"
}
] |
2010-12-03
|
[
[
"Hailu",
"Girma",
""
]
] |
We solve $\mathcal{N}=1$ supersymmetric $A_{2}$ type $U(N)\times U(N)$ matrix models obtained by deforming $\mathcal{N}=2$ with symmetric tree level superpotentials of any degree exactly in the planar limit. These theories can be geometrically engineered from string theories by wrapping D-branes over Calabi-Yau threefolds and we construct the corresponding exact quantum geometries.
| 10.095942
| 8.962885
| 13.019007
| 8.739197
| 10.143245
| 8.704757
| 8.061104
| 8.83417
| 8.843182
| 12.601389
| 8.869548
| 8.714468
| 9.88574
| 8.594952
| 8.460451
| 8.576496
| 8.444708
| 9.105985
| 8.727437
| 9.481962
| 8.560847
|
1702.04160
|
Christian Saemann
|
Christian Saemann and Martin Wolf
|
Supersymmetric Yang-Mills Theory as Higher Chern-Simons Theory
|
v2: 25 pages, conventions improved, typos fixed, published version
|
JHEP 07 (2017) 111
|
10.1007/JHEP07(2017)111
|
EMPG-17-02, DMUS-MP-17/02
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We observe that the string field theory actions for the topological sigma
models describe higher or categorified Chern-Simons theories. These theories
yield dynamical equations for connective structures on higher principal
bundles. As a special case, we consider holomorphic higher Chern-Simons theory
on the ambitwistor space of four-dimensional space-time. In particular, we
propose a higher ambitwistor space action functional for maximally
supersymmetric Yang-Mills theory.
|
[
{
"created": "Tue, 14 Feb 2017 11:26:32 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Jul 2017 09:20:35 GMT",
"version": "v2"
}
] |
2017-07-27
|
[
[
"Saemann",
"Christian",
""
],
[
"Wolf",
"Martin",
""
]
] |
We observe that the string field theory actions for the topological sigma models describe higher or categorified Chern-Simons theories. These theories yield dynamical equations for connective structures on higher principal bundles. As a special case, we consider holomorphic higher Chern-Simons theory on the ambitwistor space of four-dimensional space-time. In particular, we propose a higher ambitwistor space action functional for maximally supersymmetric Yang-Mills theory.
| 10.408957
| 9.873065
| 10.47065
| 10.373179
| 9.731226
| 8.543493
| 10.248098
| 10.119419
| 10.467422
| 11.651621
| 10.573048
| 10.924438
| 10.654662
| 10.228905
| 9.822606
| 9.762418
| 9.86294
| 10.557931
| 9.990643
| 10.572624
| 10.464692
|
0806.3515
|
Cosmas Zachos
|
Thomas L Curtright, David B Fairlie, and Cosmas K Zachos
|
Ternary Virasoro - Witt Algebra
|
6 pages, LateX
|
Phys.Lett.B666:386-390,2008
|
10.1016/j.physletb.2008.06.060
|
ANL-HEP-PR-08-35 and UMTG - 7
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A 3-bracket variant of the Virasoro-Witt algebra is constructed through the
use of su(1,1) enveloping algebra techniques. The Leibniz rules for 3-brackets
acting on other 3-brackets in the algebra are discussed and verified in various
situations.
|
[
{
"created": "Mon, 23 Jun 2008 18:14:15 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Curtright",
"Thomas L",
""
],
[
"Fairlie",
"David B",
""
],
[
"Zachos",
"Cosmas K",
""
]
] |
A 3-bracket variant of the Virasoro-Witt algebra is constructed through the use of su(1,1) enveloping algebra techniques. The Leibniz rules for 3-brackets acting on other 3-brackets in the algebra are discussed and verified in various situations.
| 11.15501
| 10.053815
| 11.653972
| 9.481581
| 8.632402
| 9.375088
| 10.100016
| 9.280231
| 9.842821
| 11.295987
| 9.381093
| 8.828446
| 9.897576
| 8.88416
| 8.837672
| 9.074408
| 9.582365
| 8.42347
| 8.851286
| 9.229149
| 8.854566
|
hep-th/9803183
|
Alexander Popov
|
A.D.Popov
|
Self-Dual Yang-Mills: Symmetries and Moduli Space
|
42 pages, LaTeX2e
|
Rev.Math.Phys. 11 (1999) 1091-1149
|
10.1142/S0129055X99000350
| null |
hep-th
| null |
Geometry of the solution space of the self-dual Yang-Mills (SDYM) equations
in Euclidean four-dimensional space is studied. Combining the twistor and
group-theoretic approaches, we describe the full infinite-dimensional symmetry
group of the SDYM equations and its action on the space of local solutions to
the field equations. It is argued that owing to the relation to a holomorphic
analogue of the Chern-Simons theory, the SDYM theory may be as solvable as 2D
rational conformal field theories, and successful nonperturbative quantization
may be developed. An algebra acting on the space of self-dual conformal
structures on a 4-space (an analogue of the Virasoro algebra) and an algebra
acting on the space of self-dual connections (an analogue of affine Lie
algebras) are described. Relations to problems of topological and N=2 strings
are briefly discussed.
|
[
{
"created": "Mon, 23 Mar 1998 14:17:10 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Jun 1998 10:17:43 GMT",
"version": "v2"
}
] |
2015-06-26
|
[
[
"Popov",
"A. D.",
""
]
] |
Geometry of the solution space of the self-dual Yang-Mills (SDYM) equations in Euclidean four-dimensional space is studied. Combining the twistor and group-theoretic approaches, we describe the full infinite-dimensional symmetry group of the SDYM equations and its action on the space of local solutions to the field equations. It is argued that owing to the relation to a holomorphic analogue of the Chern-Simons theory, the SDYM theory may be as solvable as 2D rational conformal field theories, and successful nonperturbative quantization may be developed. An algebra acting on the space of self-dual conformal structures on a 4-space (an analogue of the Virasoro algebra) and an algebra acting on the space of self-dual connections (an analogue of affine Lie algebras) are described. Relations to problems of topological and N=2 strings are briefly discussed.
| 6.76696
| 6.671932
| 7.078806
| 6.498462
| 6.79512
| 7.219493
| 7.397873
| 6.840818
| 6.64591
| 7.927279
| 6.379629
| 6.686455
| 6.690985
| 6.440165
| 6.811529
| 6.710944
| 6.785124
| 6.536971
| 6.589105
| 6.582868
| 6.401772
|
2305.17128
|
Sergey Frolov Dr.
|
Sergey Frolov, Anton Pribytok, Alessandro Sfondrini
|
Ground state energy of twisted $AdS_{3}\times S^{3}\times T^{4}$
superstring and the TBA
|
31 pages
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We use the lightcone $AdS_{3}\times S^{3}\times T^{4}$ superstring sigma
model with fermions and bosons subject to twisted boundary conditions to find
the ground state energy in the semi-classical approximation where effective
string tension $h$ and the light-cone momentum $L$ are sent to infinity in such
a way that ${\cal J}\equiv L/h$ is kept fixed. We then analyse the ground state
energy of the model by means of the mirror TBA equations for the $AdS_{3}\times
S^{3}\times T^{4}$ superstring in the pure RR background. The calculation is
performed for small twist $\mu$ with $L$ and $h$ fixed, for large $L$ with
$\mu$ and $h$ fixed, and for small $h$ with $\mu$ and $L$ fixed. In these
limits the contribution of the gapless worldsheet modes coming from the $T^4$
bosons and fermions can be computed exactly, and is shown to be proportional to
$hL/(4L^2-1)$. Comparison with the semi-classical result shows that the TBA
equations involve only one $Y_0$-function for massless excitations but not two
as was conjectured before. Some of the results obtained are generalised to the
mixed-flux $AdS_{3}\times S^{3}\times T^{4}$ superstring.
|
[
{
"created": "Fri, 26 May 2023 17:51:22 GMT",
"version": "v1"
}
] |
2023-05-29
|
[
[
"Frolov",
"Sergey",
""
],
[
"Pribytok",
"Anton",
""
],
[
"Sfondrini",
"Alessandro",
""
]
] |
We use the lightcone $AdS_{3}\times S^{3}\times T^{4}$ superstring sigma model with fermions and bosons subject to twisted boundary conditions to find the ground state energy in the semi-classical approximation where effective string tension $h$ and the light-cone momentum $L$ are sent to infinity in such a way that ${\cal J}\equiv L/h$ is kept fixed. We then analyse the ground state energy of the model by means of the mirror TBA equations for the $AdS_{3}\times S^{3}\times T^{4}$ superstring in the pure RR background. The calculation is performed for small twist $\mu$ with $L$ and $h$ fixed, for large $L$ with $\mu$ and $h$ fixed, and for small $h$ with $\mu$ and $L$ fixed. In these limits the contribution of the gapless worldsheet modes coming from the $T^4$ bosons and fermions can be computed exactly, and is shown to be proportional to $hL/(4L^2-1)$. Comparison with the semi-classical result shows that the TBA equations involve only one $Y_0$-function for massless excitations but not two as was conjectured before. Some of the results obtained are generalised to the mixed-flux $AdS_{3}\times S^{3}\times T^{4}$ superstring.
| 6.121268
| 5.629378
| 6.868022
| 5.762815
| 5.613719
| 5.659623
| 5.664412
| 5.573434
| 5.659901
| 7.329384
| 5.537227
| 5.630432
| 5.998622
| 5.689771
| 5.626728
| 5.671083
| 5.654798
| 5.731517
| 5.689563
| 6.126401
| 5.488064
|
0810.2809
|
Matthew Headrick
|
Matthew Headrick
|
A note on tachyon actions in string theory
|
17 pages; v2: comments on implications for string field theory added;
refs added
|
Phys.Rev.D79:046009,2009
|
10.1103/PhysRevD.79.046009
|
BRX-TH-602
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A number of spacetime fields in string theory (notably the metric, dilaton,
bosonic and type 0 bulk closed-string tachyon, and bosonic open-string tachyon)
have the following property: whenever the spacetime field configuration
factorizes in an appropriate sense, the matter sector of the world-sheet theory
factorizes into a tensor product of two decoupled theories. Since the beta
functions for such a product theory necessarily also factorize, this property
strongly constrains the form of the spacetime action encoding those beta
functions. We show that this constraint alone--without needing actually to
compute any of the beta functions--is sufficient to fix the form of the
two-derivative action for the metric-dilaton system, as well as the potential
for the bosonic open-string tachyon. We also show that no action consistent
with this constraint exists for the closed-string tachyon coupled to the metric
and dilaton.
|
[
{
"created": "Wed, 15 Oct 2008 21:33:37 GMT",
"version": "v1"
},
{
"created": "Sat, 6 Dec 2008 02:01:22 GMT",
"version": "v2"
}
] |
2009-03-12
|
[
[
"Headrick",
"Matthew",
""
]
] |
A number of spacetime fields in string theory (notably the metric, dilaton, bosonic and type 0 bulk closed-string tachyon, and bosonic open-string tachyon) have the following property: whenever the spacetime field configuration factorizes in an appropriate sense, the matter sector of the world-sheet theory factorizes into a tensor product of two decoupled theories. Since the beta functions for such a product theory necessarily also factorize, this property strongly constrains the form of the spacetime action encoding those beta functions. We show that this constraint alone--without needing actually to compute any of the beta functions--is sufficient to fix the form of the two-derivative action for the metric-dilaton system, as well as the potential for the bosonic open-string tachyon. We also show that no action consistent with this constraint exists for the closed-string tachyon coupled to the metric and dilaton.
| 7.169425
| 8.144244
| 7.598653
| 7.303001
| 8.103376
| 7.909914
| 7.384026
| 7.299364
| 7.402408
| 9.498519
| 7.173161
| 7.346804
| 7.723191
| 7.082251
| 6.93444
| 6.931863
| 7.18316
| 7.266666
| 7.102369
| 7.891087
| 7.147237
|
hep-th/9407035
|
Joakim Hallin
|
I. Bengtsson and J. Hallin
|
SL(2,R) Yang-Mills theory on a circle
|
10 pages, Goteborg ITP 94-19, Contains two files: A latex file with
all figures drawn in latex and a tar archive including a slightly modified
latex file (uses psfig) and nicer postscript figures+necessary macros
|
Mod.Phys.Lett. A9 (1994) 3245-3254
|
10.1142/S0217732394003063
| null |
hep-th
| null |
The kinematics of SL(2,R) Yang-Mills theory on a circle is considered, for
reasons that are spelled out. The gauge transformations exhibit hyperbolic
fixed points, and this results in a physical configuration space with a
non-Hausdorff "network" topology. The ambiguity encountered in canonical
quantization is then much more pronounced than in the compact case, and can not
be resolved through the kind of appeal made to group theory in that case.
|
[
{
"created": "Wed, 6 Jul 1994 12:19:05 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Bengtsson",
"I.",
""
],
[
"Hallin",
"J.",
""
]
] |
The kinematics of SL(2,R) Yang-Mills theory on a circle is considered, for reasons that are spelled out. The gauge transformations exhibit hyperbolic fixed points, and this results in a physical configuration space with a non-Hausdorff "network" topology. The ambiguity encountered in canonical quantization is then much more pronounced than in the compact case, and can not be resolved through the kind of appeal made to group theory in that case.
| 14.617122
| 14.607038
| 15.191384
| 14.241019
| 15.021027
| 14.938857
| 13.302249
| 14.57483
| 13.874719
| 14.60323
| 14.113407
| 14.382183
| 14.469547
| 14.328435
| 13.920646
| 14.302612
| 14.413156
| 13.794971
| 14.397725
| 14.211043
| 13.689997
|
hep-th/0105165
|
Stoytcho Yazadjiev
|
Stoytcho S. Yazadjiev, Plamen P. Fiziev, Todor L. Boyadjiev, Michail
D. Todorov
|
Electrically Charged Einstein-Born-Infeld Black Holes with Massive
Dilaton
|
6 pages, 4 figures, LaTeX; v2 comments, references and
acknowledgements added
|
Mod.Phys.Lett. A16 (2001) 2143-2150
|
10.1142/S0217732301005564
| null |
hep-th astro-ph gr-qc
| null |
We numerically construct static and spherically symmetric electrically
charged black hole solutions in Einstein-Born-Infeld gravity with massive
dilaton. The numerical solutions show that the dilaton potential allows many
more black hole causal structures than the massless dilaton. We find that
depending on the black hole mass and charge and the dilaton mass the black
holes can have either one, two, or three horizons. The extremal solutions are
also found out. As an interesting peculiarity we note that there are extremal
black holes with an inner horizon and with triply degenerated horizon.
|
[
{
"created": "Thu, 17 May 2001 08:32:46 GMT",
"version": "v1"
},
{
"created": "Mon, 28 May 2001 07:45:10 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Yazadjiev",
"Stoytcho S.",
""
],
[
"Fiziev",
"Plamen P.",
""
],
[
"Boyadjiev",
"Todor L.",
""
],
[
"Todorov",
"Michail D.",
""
]
] |
We numerically construct static and spherically symmetric electrically charged black hole solutions in Einstein-Born-Infeld gravity with massive dilaton. The numerical solutions show that the dilaton potential allows many more black hole causal structures than the massless dilaton. We find that depending on the black hole mass and charge and the dilaton mass the black holes can have either one, two, or three horizons. The extremal solutions are also found out. As an interesting peculiarity we note that there are extremal black holes with an inner horizon and with triply degenerated horizon.
| 7.06185
| 6.628056
| 6.973142
| 6.269944
| 6.720115
| 6.287129
| 6.775412
| 6.341812
| 6.689241
| 6.830202
| 6.63355
| 6.969898
| 6.758292
| 6.604122
| 6.688704
| 6.538142
| 6.546605
| 6.528819
| 6.640858
| 7.150337
| 6.839021
|
hep-th/9705127
|
Hiroaki Kanno
|
L. Baulieu, H. Kanno and I. M. Singer
|
Cohomological Yang-Mills Theory in Eight Dimensions
|
9 pages, latex, Talk given at APCTP Winter School on Dualities in
String Theory, (Sokcho, Korea), February 24-28, 1997
| null |
10.1142/9789814447287_0011
| null |
hep-th
| null |
We construct nearly topological Yang-Mills theories on eight dimensional
manifolds with a special holonomy group. These manifolds are the Joyce manifold
with $Spin(7)$ holonomy and the Calabi-Yau manifold with SU(4) holonomy. An
invariant closed four form $T_{\mu\nu\rho\sigma}$ on the manifold allows us to
define an analogue of the instanton equation, which serves as a topological
gauge fixing condition in BRST formalism. The model on the Joyce manifold is
related to the eight dimensional supersymmetric Yang-Mills theory. Topological
dimensional reduction to four dimensions gives non-abelian Seiberg-Witten
equation.
|
[
{
"created": "Sat, 17 May 1997 02:05:33 GMT",
"version": "v1"
}
] |
2016-11-03
|
[
[
"Baulieu",
"L.",
""
],
[
"Kanno",
"H.",
""
],
[
"Singer",
"I. M.",
""
]
] |
We construct nearly topological Yang-Mills theories on eight dimensional manifolds with a special holonomy group. These manifolds are the Joyce manifold with $Spin(7)$ holonomy and the Calabi-Yau manifold with SU(4) holonomy. An invariant closed four form $T_{\mu\nu\rho\sigma}$ on the manifold allows us to define an analogue of the instanton equation, which serves as a topological gauge fixing condition in BRST formalism. The model on the Joyce manifold is related to the eight dimensional supersymmetric Yang-Mills theory. Topological dimensional reduction to four dimensions gives non-abelian Seiberg-Witten equation.
| 6.589032
| 5.744446
| 7.617943
| 6.085773
| 6.437004
| 6.400736
| 6.356236
| 6.059802
| 5.842385
| 8.520733
| 6.021212
| 6.013764
| 6.568924
| 6.21563
| 5.902857
| 6.118222
| 6.060918
| 6.182908
| 6.371781
| 6.743628
| 6.048686
|
hep-th/0511190
|
Peter Horvathy
|
A. Comtet, P. A. Horvathy
|
The Dirac equation in Taub-NUT space
|
An importatn misprint in a reference is corrected. Plain Tex. 8 pages
|
Phys.Lett. B349 (1995) 49-56
|
10.1016/0370-2693(95)00219-B
| null |
hep-th
| null |
Using chiral supersymmetry, we show that the massless Dirac equation in the
Taub-NUT gravitational instanton field is exactly soluble and explain the
arisal and the use of the dynamical (super) symmetry.
|
[
{
"created": "Fri, 18 Nov 2005 14:55:42 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Dec 2005 18:11:25 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Comtet",
"A.",
""
],
[
"Horvathy",
"P. A.",
""
]
] |
Using chiral supersymmetry, we show that the massless Dirac equation in the Taub-NUT gravitational instanton field is exactly soluble and explain the arisal and the use of the dynamical (super) symmetry.
| 16.207693
| 12.254407
| 13.94162
| 12.880307
| 11.93868
| 13.972452
| 12.993582
| 13.365703
| 13.388685
| 16.207085
| 13.692398
| 14.153112
| 14.2533
| 13.361889
| 14.158134
| 13.996377
| 13.409683
| 14.494193
| 14.237611
| 14.691757
| 13.730742
|
1712.01594
|
\"Umit Ertem
|
\"Ozg\"ur A\c{c}{\i}k, \"Umit Ertem
|
Spin raising and lowering operators for Rarita-Schwinger fields
|
10 pages, an appendix added, published version
|
Phys. Rev. D 98, 066004 (2018)
|
10.1103/PhysRevD.98.066004
| null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Spin raising and lowering operators for massless field equations constructed
from twistor spinors are considered. Solutions of the spin-$\frac{3}{2}$
massless Rarita-Schwinger equation from source-free Maxwell fields and twistor
spinors are constructed. It is shown that this construction requires Ricci-flat
backgrounds due to the gauge invariance of the massless Rarita-Schwinger
equation. Constraints to construct spin raising and lowering operators for
Rarita-Schwinger fields are found. Symmetry operators for Rarita-Schwinger
fields via twistor spinors are obtained.
|
[
{
"created": "Tue, 5 Dec 2017 12:11:23 GMT",
"version": "v1"
},
{
"created": "Sat, 15 Sep 2018 11:12:34 GMT",
"version": "v2"
}
] |
2018-09-19
|
[
[
"Açık",
"Özgür",
""
],
[
"Ertem",
"Ümit",
""
]
] |
Spin raising and lowering operators for massless field equations constructed from twistor spinors are considered. Solutions of the spin-$\frac{3}{2}$ massless Rarita-Schwinger equation from source-free Maxwell fields and twistor spinors are constructed. It is shown that this construction requires Ricci-flat backgrounds due to the gauge invariance of the massless Rarita-Schwinger equation. Constraints to construct spin raising and lowering operators for Rarita-Schwinger fields are found. Symmetry operators for Rarita-Schwinger fields via twistor spinors are obtained.
| 7.638119
| 7.575169
| 7.413057
| 6.771821
| 7.545093
| 7.360235
| 7.260732
| 6.945529
| 6.851988
| 7.740639
| 6.830168
| 7.267022
| 6.977392
| 6.927654
| 6.95751
| 6.93436
| 6.892788
| 6.862947
| 6.903995
| 7.002427
| 6.706537
|
2202.05026
|
Axel Kleinschmidt
|
Joaquim Gomis, Axel Kleinschmidt
|
Infinite-dimensional algebras as extensions of kinematic algebras
|
48 pages. Contribution to a special Frontiers volume on
"Non-Lorentzian Geometry and its Applications". v2: very minor corrections
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Kinematic algebras can be realised on geometric spaces and constrain the
physical models that can live on these spaces. Different types of kinematic
algebras exist and we consider the interplay of these algebras for
non-relativistic limits of a relativistic system, including both the Galilei
and the Carroll limit. We develop a framework that captures systematically the
corrections to the strict non-relativistic limit by introducing new
infinite-dimensional algebras, with emphasis on the Carroll case. One of our
results is to highlight a new type of duality between Galilei and Carroll
limits that extends to corrections as well. We realise these algebras in terms
of particle models. Other applications include curvature corrections and
particles in a background electro-magnetic field.
|
[
{
"created": "Thu, 10 Feb 2022 13:31:08 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Apr 2022 19:26:50 GMT",
"version": "v2"
}
] |
2022-04-26
|
[
[
"Gomis",
"Joaquim",
""
],
[
"Kleinschmidt",
"Axel",
""
]
] |
Kinematic algebras can be realised on geometric spaces and constrain the physical models that can live on these spaces. Different types of kinematic algebras exist and we consider the interplay of these algebras for non-relativistic limits of a relativistic system, including both the Galilei and the Carroll limit. We develop a framework that captures systematically the corrections to the strict non-relativistic limit by introducing new infinite-dimensional algebras, with emphasis on the Carroll case. One of our results is to highlight a new type of duality between Galilei and Carroll limits that extends to corrections as well. We realise these algebras in terms of particle models. Other applications include curvature corrections and particles in a background electro-magnetic field.
| 12.326985
| 11.270866
| 12.955854
| 11.628068
| 12.630662
| 11.673449
| 11.458477
| 11.117338
| 11.735107
| 15.260978
| 11.068696
| 11.293824
| 11.970914
| 11.621353
| 11.509085
| 11.093385
| 11.253
| 11.355279
| 11.788385
| 12.057947
| 11.360819
|
hep-th/9408024
| null |
Rainer Dick
|
Non-Standard Fermion Propagators from Conformal Field Theory
|
15 pages, Latex, LMU-TPW 94-10
| null |
10.1007/3-540-59163-X_261
| null |
hep-th
| null |
It is shown that Weyl spinors in 4D Minkowski space are composed of primary
fields of half-integer conformal weights. This yields representations of
fermionic 2-point functions in terms of correlators of primary fields with a
factorized transformation behavior under the Lorentz group. I employ this
observation to determine the general structure of the corresponding Lorentz
covariant correlators by methods similar to the methods employed in conformal
field theory to determine 2- and 3-point functions of primary fields. In
particular, the chiral symmetry breaking terms resemble fermionic 2-point
functions of 2D CFT up to a function of the product of momenta. The
construction also permits for the formulation of covariant meromorphy
constraints on spinors in 3+1 dimensions.
|
[
{
"created": "Thu, 4 Aug 1994 09:05:44 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Dick",
"Rainer",
""
]
] |
It is shown that Weyl spinors in 4D Minkowski space are composed of primary fields of half-integer conformal weights. This yields representations of fermionic 2-point functions in terms of correlators of primary fields with a factorized transformation behavior under the Lorentz group. I employ this observation to determine the general structure of the corresponding Lorentz covariant correlators by methods similar to the methods employed in conformal field theory to determine 2- and 3-point functions of primary fields. In particular, the chiral symmetry breaking terms resemble fermionic 2-point functions of 2D CFT up to a function of the product of momenta. The construction also permits for the formulation of covariant meromorphy constraints on spinors in 3+1 dimensions.
| 10.590792
| 11.222563
| 11.853059
| 11.250097
| 11.118974
| 11.080861
| 11.295928
| 10.328882
| 10.453481
| 11.789622
| 10.922473
| 10.752195
| 10.883214
| 10.776096
| 10.734015
| 10.759496
| 10.466446
| 10.966245
| 10.604865
| 10.78371
| 10.36974
|
0706.3373
|
Gabriel Cardoso
|
Gabriel Lopes Cardoso, Anna Ceresole, Gianguido Dall'Agata, Johannes
M. Oberreuter, Jan Perz
|
First-order flow equations for extremal black holes in very special
geometry
|
21 pages. v2: Summary section added
|
JHEP 0710:063,2007
|
10.1088/1126-6708/2007/10/063
|
DFPD-07TH10, LMU-ASC 38/07, MPP-2007-73
|
hep-th
| null |
We construct interpolating solutions describing single-center static extremal
non-supersymmetric black holes in four-dimensional N=2 supergravity theories
with cubic prepotentials. To this end, we derive and solve first-order flow
equations for rotating electrically charged extremal black holes in a Taub-NUT
geometry in five dimensions. We then use the connection between five- and
four-dimensional extremal black holes to obtain four-dimensional flow equations
and we give the corresponding solutions.
|
[
{
"created": "Fri, 22 Jun 2007 16:22:14 GMT",
"version": "v1"
},
{
"created": "Sun, 30 Sep 2007 09:05:50 GMT",
"version": "v2"
}
] |
2009-11-18
|
[
[
"Cardoso",
"Gabriel Lopes",
""
],
[
"Ceresole",
"Anna",
""
],
[
"Dall'Agata",
"Gianguido",
""
],
[
"Oberreuter",
"Johannes M.",
""
],
[
"Perz",
"Jan",
""
]
] |
We construct interpolating solutions describing single-center static extremal non-supersymmetric black holes in four-dimensional N=2 supergravity theories with cubic prepotentials. To this end, we derive and solve first-order flow equations for rotating electrically charged extremal black holes in a Taub-NUT geometry in five dimensions. We then use the connection between five- and four-dimensional extremal black holes to obtain four-dimensional flow equations and we give the corresponding solutions.
| 7.910772
| 6.012411
| 8.866324
| 6.190125
| 6.831857
| 6.624786
| 6.680133
| 6.408374
| 6.25869
| 8.24028
| 6.630639
| 6.252893
| 7.589376
| 6.607742
| 6.495078
| 6.560151
| 6.442271
| 6.367243
| 6.705613
| 8.254669
| 6.656867
|
1408.1298
|
Jiang Long
|
Jiang Long
|
Higher Spin Entanglement Entropy
|
49 pages,1 figure, to be published in JHEP
| null |
10.1007/JHEP12(2014)055
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we develop a perturbation formulation to calculate the single
interval higher spin R$\acute{e}$nyi and entanglement entropy for two
dimensional conformal field theory with $\mathcal{W}_{\infty}(\lambda)$
symmetry. The system is at finite temperature and is deformed by higher spin
chemical potential. We manage to compute higher spin R$\acute{e}$nyi entropy
with various spin deformations up to order $\mathcal{O}(\mu^2)$. For spin 3
deformation, we calculate exact higher spin R$\acute{e}$nyi entropy up to
$\mathcal{O}(\mu^4)$. When $\lambda=3$, in the large $c$ limit, we find perfect
match with tree level holographic higher spin entanglement entropy up to order
$\mu^4$ obtained by the Wilson line prescription. We also find quantum
corrections to higher spin entanglement entropy which is beyond tree level
holographic results. The quantum correction is universal at order $\mu^4$ in
the sense that it is independent of $\lambda$. Our computation relies on a
multi-valued conformal map from $n$-sheeted Riemann surface $\mathcal{R}_n$ to
complex plane and correlation functions of primary fields on complex plane. The
method can be applied to general conformal field theories with $\mathcal{W}$
symmetry.
|
[
{
"created": "Wed, 6 Aug 2014 14:42:28 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Dec 2014 19:38:32 GMT",
"version": "v2"
}
] |
2015-06-22
|
[
[
"Long",
"Jiang",
""
]
] |
In this paper, we develop a perturbation formulation to calculate the single interval higher spin R$\acute{e}$nyi and entanglement entropy for two dimensional conformal field theory with $\mathcal{W}_{\infty}(\lambda)$ symmetry. The system is at finite temperature and is deformed by higher spin chemical potential. We manage to compute higher spin R$\acute{e}$nyi entropy with various spin deformations up to order $\mathcal{O}(\mu^2)$. For spin 3 deformation, we calculate exact higher spin R$\acute{e}$nyi entropy up to $\mathcal{O}(\mu^4)$. When $\lambda=3$, in the large $c$ limit, we find perfect match with tree level holographic higher spin entanglement entropy up to order $\mu^4$ obtained by the Wilson line prescription. We also find quantum corrections to higher spin entanglement entropy which is beyond tree level holographic results. The quantum correction is universal at order $\mu^4$ in the sense that it is independent of $\lambda$. Our computation relies on a multi-valued conformal map from $n$-sheeted Riemann surface $\mathcal{R}_n$ to complex plane and correlation functions of primary fields on complex plane. The method can be applied to general conformal field theories with $\mathcal{W}$ symmetry.
| 5.442506
| 4.938701
| 5.843205
| 4.910394
| 5.176788
| 5.159744
| 4.866874
| 4.919172
| 5.0591
| 5.836527
| 5.015034
| 5.077846
| 5.235322
| 4.963538
| 5.047306
| 5.071918
| 4.968775
| 4.982839
| 5.023047
| 5.319109
| 5.072748
|
0712.3167
|
Victor Chernyak
|
Victor L. Chernyak
|
On Mass Spectrum in SQCD, and Problems with the Seiberg Duality. Equal
quark masses
|
31 pages; text improved; corrections in sections 5,8; appendix added
about 't Hooft triangles
|
J.Exp.Theor.Phys.110:383-405,2010
|
10.1134/S1063776110030039
| null |
hep-th astro-ph hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The dynamical scenario is considered for N=1 SQCD, with N_c colors and
N_c<N_F<3N_c flavors with small but nonzero current quark masses m_Q\neq 0, in
which quarks form the diquark-condensate phase. This means that colorless
chiral quark pairs condense coherently in the vacuum, <{\bar Q}Q>\neq 0, while
quarks alone don't condense, <Q>=<\bar Q>=0, so that the color is confined.
Such condensation of quarks results in formation of dynamical constituent
masses \mu_C \gg m_Q of quarks and appearance of light "pions" (similarly to
QCD). The mass spectrum of SQCD in this phase is described and comparison with
the Seiberg dual description is performed. It is shown that the direct and dual
theories are different (except, possibly, for the perturbative strictly
superconformal regime).
|
[
{
"created": "Wed, 19 Dec 2007 11:58:10 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Dec 2007 10:19:35 GMT",
"version": "v2"
},
{
"created": "Tue, 15 Jan 2008 14:46:17 GMT",
"version": "v3"
},
{
"created": "Mon, 24 Mar 2008 11:54:54 GMT",
"version": "v4"
},
{
"created": "Wed, 18 Jun 2008 10:37:40 GMT",
"version": "v5"
},
{
"created": "Mon, 15 Dec 2008 11:21:32 GMT",
"version": "v6"
},
{
"created": "Wed, 5 Aug 2009 13:31:11 GMT",
"version": "v7"
}
] |
2010-05-12
|
[
[
"Chernyak",
"Victor L.",
""
]
] |
The dynamical scenario is considered for N=1 SQCD, with N_c colors and N_c<N_F<3N_c flavors with small but nonzero current quark masses m_Q\neq 0, in which quarks form the diquark-condensate phase. This means that colorless chiral quark pairs condense coherently in the vacuum, <{\bar Q}Q>\neq 0, while quarks alone don't condense, <Q>=<\bar Q>=0, so that the color is confined. Such condensation of quarks results in formation of dynamical constituent masses \mu_C \gg m_Q of quarks and appearance of light "pions" (similarly to QCD). The mass spectrum of SQCD in this phase is described and comparison with the Seiberg dual description is performed. It is shown that the direct and dual theories are different (except, possibly, for the perturbative strictly superconformal regime).
| 10.503225
| 10.18715
| 10.592744
| 9.249492
| 10.385502
| 11.705912
| 10.481802
| 10.292769
| 9.590881
| 11.264776
| 10.192282
| 9.792193
| 9.772368
| 9.523711
| 10.219228
| 10.044576
| 9.704867
| 9.78136
| 9.679765
| 10.298273
| 9.709188
|
hep-th/0303010
|
Pavel Kovtun
|
Pavel Kovtun and Laurence G. Yaffe
|
Hydrodynamic Fluctuations, Long-time Tails, and Supersymmetry
| null |
Phys.Rev. D68 (2003) 025007
|
10.1103/PhysRevD.68.025007
|
UW/PT 03-05
|
hep-th hep-ph
| null |
Hydrodynamic fluctuations at non-zero temperature can cause slow relaxation
toward equilibrium even in observables which are not locally conserved. A
classic example is the stress-stress correlator in a normal fluid, which, at
zero wavenumber, behaves at large times as t^{-3/2}. A novel feature of the
effective theory of hydrodynamic fluctuations in supersymmetric theories is the
presence of Grassmann-valued classical fields describing macroscopic
supercharge density fluctuations. We show that hydrodynamic fluctuations in
supersymmetric theories generate essentially the same long-time power-law tails
in real-time correlation functions that are known in simple fluids. In
particular, a t^{-3/2} long-time tail must exist in the stress-stress
correlator of N=4 supersymmetric Yang-Mills theory at non-zero temperature,
regardless of the value of the coupling. Consequently, this feature of
finite-temperature dynamics can provide an interesting test of the AdS/CFT
correspondence. However, the coefficient of this long-time tail is suppressed
by a factor of 1/N_c^2. On the gravitational side, this implies that these
long-time tails are not present in the classical supergravity limit; they must
instead be produced by one-loop gravitational fluctuations.
|
[
{
"created": "Mon, 3 Mar 2003 03:11:27 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Kovtun",
"Pavel",
""
],
[
"Yaffe",
"Laurence G.",
""
]
] |
Hydrodynamic fluctuations at non-zero temperature can cause slow relaxation toward equilibrium even in observables which are not locally conserved. A classic example is the stress-stress correlator in a normal fluid, which, at zero wavenumber, behaves at large times as t^{-3/2}. A novel feature of the effective theory of hydrodynamic fluctuations in supersymmetric theories is the presence of Grassmann-valued classical fields describing macroscopic supercharge density fluctuations. We show that hydrodynamic fluctuations in supersymmetric theories generate essentially the same long-time power-law tails in real-time correlation functions that are known in simple fluids. In particular, a t^{-3/2} long-time tail must exist in the stress-stress correlator of N=4 supersymmetric Yang-Mills theory at non-zero temperature, regardless of the value of the coupling. Consequently, this feature of finite-temperature dynamics can provide an interesting test of the AdS/CFT correspondence. However, the coefficient of this long-time tail is suppressed by a factor of 1/N_c^2. On the gravitational side, this implies that these long-time tails are not present in the classical supergravity limit; they must instead be produced by one-loop gravitational fluctuations.
| 7.025234
| 7.704443
| 7.47882
| 7.1963
| 7.323983
| 7.621547
| 7.671988
| 7.427148
| 7.50771
| 8.014645
| 6.882808
| 7.018289
| 7.265899
| 6.974609
| 7.128094
| 7.022948
| 7.198124
| 7.043875
| 7.121417
| 7.407476
| 6.899124
|
2312.05888
|
Vitaly Velizhanin
|
B.A. Kniehl, V.N. Velizhanin
|
Anomalous dimensions of twist-two operators in extended N=2 and N=4
super Yang-Mills theories
|
16 pages, 5 figures, minor changes, reference added
| null | null | null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We perform direct diagrammatic calculations of the anomalous dimensions of
twist-two operators in extended N=2 and N=4 super Yang-Mills theories (SYM). In
the case of N=4 SYM, we compute the four-loop anomalous dimension of the
twist-two operator for several fixed values of Lorentz spin. This is the first
direct diagrammatic calculation of this kind, and we confirm results previously
obtained by means of integrability. For N=2 SYM, we obtain the general result
for the anomalous dimension at third order of perturbation theory and find the
three-loop Cusp anomalous dimension.
|
[
{
"created": "Sun, 10 Dec 2023 13:42:16 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Dec 2023 15:03:16 GMT",
"version": "v2"
},
{
"created": "Thu, 7 Mar 2024 17:41:06 GMT",
"version": "v3"
}
] |
2024-03-08
|
[
[
"Kniehl",
"B. A.",
""
],
[
"Velizhanin",
"V. N.",
""
]
] |
We perform direct diagrammatic calculations of the anomalous dimensions of twist-two operators in extended N=2 and N=4 super Yang-Mills theories (SYM). In the case of N=4 SYM, we compute the four-loop anomalous dimension of the twist-two operator for several fixed values of Lorentz spin. This is the first direct diagrammatic calculation of this kind, and we confirm results previously obtained by means of integrability. For N=2 SYM, we obtain the general result for the anomalous dimension at third order of perturbation theory and find the three-loop Cusp anomalous dimension.
| 6.404164
| 5.444353
| 6.337267
| 5.718657
| 5.805196
| 5.820937
| 5.751685
| 5.728311
| 5.53445
| 6.553112
| 5.35816
| 5.745798
| 5.770866
| 5.765936
| 5.703961
| 5.729946
| 5.777503
| 5.543701
| 5.868322
| 5.99868
| 5.596047
|
1609.08694
|
Tomas Ortin
|
Tomas Ortin and Camilla Santoli
|
Supersymmetric solutions of SU(2)-Fayet-Iliopoulos-gauged N=2,d=4
supergravity
|
Latex 2e file, 37 pages, 1 figure. A paragraph on Fayet-Iliopoulos
gaugings rewritten and minor typos corrected. Version to be published in
Nuclear Physics B
| null |
10.1016/j.nuclphysb.2016.12.023
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explore the construction of supersymmetric solutions of theories of
N=2,d=4 supergravity with a SU(2) gauging and SU(2) Fayet-Iliopoulos terms. In
these theories an SU(2) isometry subgroup of the Special Kahler manifold is
gauged together with a SU(2) R-symmetry subgroup. We construct several
solutions of the CP3 quadratic model directly in four dimensions and of the
ST[2,6] model by dimensional reduction of the solutions found by Cariglia and
Mac Conamhna in N=(1,0),d=6 supergravity with the same kind of gauging. In the
CP3 model, we construct an AdS2xS2 solution which is only 1/8 BPS and an RxH3
solution that also preserves 1 of the 8 possible supersymmetries. We show how
to use dimensional reduction as in the ungauged case to obtain RnxSm and also
AdSnxSm-type solutions (with different radii) in - and 4 dimensions from the
6-dimensional AdS3xS3 solution.
|
[
{
"created": "Tue, 27 Sep 2016 22:20:41 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Jan 2017 10:12:12 GMT",
"version": "v2"
}
] |
2017-04-05
|
[
[
"Ortin",
"Tomas",
""
],
[
"Santoli",
"Camilla",
""
]
] |
We explore the construction of supersymmetric solutions of theories of N=2,d=4 supergravity with a SU(2) gauging and SU(2) Fayet-Iliopoulos terms. In these theories an SU(2) isometry subgroup of the Special Kahler manifold is gauged together with a SU(2) R-symmetry subgroup. We construct several solutions of the CP3 quadratic model directly in four dimensions and of the ST[2,6] model by dimensional reduction of the solutions found by Cariglia and Mac Conamhna in N=(1,0),d=6 supergravity with the same kind of gauging. In the CP3 model, we construct an AdS2xS2 solution which is only 1/8 BPS and an RxH3 solution that also preserves 1 of the 8 possible supersymmetries. We show how to use dimensional reduction as in the ungauged case to obtain RnxSm and also AdSnxSm-type solutions (with different radii) in - and 4 dimensions from the 6-dimensional AdS3xS3 solution.
| 9.448893
| 10.02809
| 11.62839
| 9.72076
| 10.470128
| 10.088459
| 10.350325
| 9.262687
| 9.31721
| 12.062366
| 10.381401
| 9.292973
| 10.168982
| 9.156322
| 9.546279
| 10.058393
| 9.60277
| 9.24627
| 9.329069
| 10.163478
| 9.411438
|
hep-th/0408038
|
Stuart Dowker
|
J.S.Dowker
|
Determinants on lens spaces and cyclotomic units
|
18 pages, 1 figure
|
J.Phys. A38 (2005) 1049-1062
|
10.1088/0305-4470/38/5/007
| null |
hep-th gr-qc math.NT
| null |
The Laplacian functional determinants for conformal scalars and coexact
one-forms are evaluated in closed form on inhomogeneous lens spaces of certain
orders, including all odd primes when the essential part of the expression is
given, formally as a cyclotomic unit
|
[
{
"created": "Wed, 4 Aug 2004 21:04:39 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Dowker",
"J. S.",
""
]
] |
The Laplacian functional determinants for conformal scalars and coexact one-forms are evaluated in closed form on inhomogeneous lens spaces of certain orders, including all odd primes when the essential part of the expression is given, formally as a cyclotomic unit
| 53.651894
| 46.354759
| 46.608784
| 47.947948
| 43.958885
| 40.467186
| 47.651096
| 36.463684
| 35.849743
| 63.008339
| 40.837048
| 45.687164
| 44.055775
| 43.013599
| 43.043106
| 43.968647
| 40.65044
| 43.760983
| 44.412994
| 42.009857
| 39.667755
|
hep-th/9612069
| null |
J. Ambjorn, M. Carfora, A. Marzuoli
|
The geometry of dynamical triangulations
|
166 pages, Revtex (latex) file
|
Lect.NotesPhys.50:197,1997
| null |
Preprint-DFNT/Pavia/9/96
|
hep-th gr-qc hep-lat
| null |
We discuss the geometry of dynamical triangulations associated with
3-dimensional and 4-dimensional simplicial quantum gravity. We provide
analytical expressions for the canonical partition function in both cases, and
study its large volume behavior. In the space of the coupling constants of the
theory, we characterize the infinite volume line and the associated critical
points. The results of this analysis are found to be in excellent agreement
with the MonteCarlo simulations of simplicial quantum gravity. In particular,
we provide an analytical proof that simply-connected dynamically triangulated
4-manifolds undergo a higher order phase transition at a value of the inverse
gravitational coupling given by 1.387, and that the nature of this transition
can be concealed by a bystable behavior. A similar analysis in the
3-dimensional case characterizes a value of the critical coupling (3.845) at
which hysteresis effects are present.
|
[
{
"created": "Fri, 6 Dec 1996 13:28:37 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Ambjorn",
"J.",
""
],
[
"Carfora",
"M.",
""
],
[
"Marzuoli",
"A.",
""
]
] |
We discuss the geometry of dynamical triangulations associated with 3-dimensional and 4-dimensional simplicial quantum gravity. We provide analytical expressions for the canonical partition function in both cases, and study its large volume behavior. In the space of the coupling constants of the theory, we characterize the infinite volume line and the associated critical points. The results of this analysis are found to be in excellent agreement with the MonteCarlo simulations of simplicial quantum gravity. In particular, we provide an analytical proof that simply-connected dynamically triangulated 4-manifolds undergo a higher order phase transition at a value of the inverse gravitational coupling given by 1.387, and that the nature of this transition can be concealed by a bystable behavior. A similar analysis in the 3-dimensional case characterizes a value of the critical coupling (3.845) at which hysteresis effects are present.
| 9.90823
| 11.124614
| 10.431403
| 9.789285
| 11.367835
| 10.460796
| 10.408213
| 10.389211
| 10.789882
| 10.338789
| 10.516742
| 9.870465
| 9.85393
| 9.730197
| 9.606741
| 10.112304
| 9.89883
| 9.598208
| 9.999638
| 10.261052
| 9.834867
|
1105.0933
|
Antonio Amariti
|
Antonio Amariti, Massimo Siani
|
Z-extremization and F-theorem in Chern-Simons matter theories
|
28 pages, 3 figures, JHEP.cls, minor corrections, references added
| null |
10.1007/JHEP10(2011)016
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The three dimensional exact R symmetry of N=2 SCFTs extremizes the partition
function localized on a three sphere. Here we verify this statement at weak
coupling. We give a detailed analysis for two classes of models. The first one
is an SU(N)_k gauge theory at large k with both fundamental and adjoint matter
fields, while the second is a flavored version of the ABJ theory, where the CS
levels are large but they do not necessarily sum up to zero. We study in both
cases superpotential deformations and compute the R charges at different fixed
points. When these fixed points are connected by an RG flow we explicitly
verify that the free energy decreases at the endpoints of the flow between the
fixed points, corroborating the conjecture of an F-theorem in three dimensions.
|
[
{
"created": "Wed, 4 May 2011 20:27:23 GMT",
"version": "v1"
},
{
"created": "Tue, 17 May 2011 17:32:21 GMT",
"version": "v2"
}
] |
2015-05-28
|
[
[
"Amariti",
"Antonio",
""
],
[
"Siani",
"Massimo",
""
]
] |
The three dimensional exact R symmetry of N=2 SCFTs extremizes the partition function localized on a three sphere. Here we verify this statement at weak coupling. We give a detailed analysis for two classes of models. The first one is an SU(N)_k gauge theory at large k with both fundamental and adjoint matter fields, while the second is a flavored version of the ABJ theory, where the CS levels are large but they do not necessarily sum up to zero. We study in both cases superpotential deformations and compute the R charges at different fixed points. When these fixed points are connected by an RG flow we explicitly verify that the free energy decreases at the endpoints of the flow between the fixed points, corroborating the conjecture of an F-theorem in three dimensions.
| 12.475977
| 11.996204
| 14.13475
| 11.559588
| 11.897248
| 13.23474
| 11.469388
| 11.182564
| 11.072919
| 16.668705
| 11.677831
| 11.281373
| 12.000449
| 11.56066
| 11.499611
| 11.28403
| 11.548056
| 11.638006
| 11.008543
| 12.538789
| 11.688213
|
hep-th/9711142
|
Young-Jai Park
|
Mu-In Park and Young-Jai Park
|
Note on the Abelian Pure CS Theory Based on the Improved BFT Method
|
12 pages, latex, no figures, final published version
|
J.KoreanPhys.Soc.31:802-806,1997
| null |
SOGANG-HEP 211/97
|
hep-th
| null |
We reconsider the Abelian pure Chern-Simons theory in three dimensions by
using our improved Batalin-Fradkin-Tyutin Hamiltonian formalism. As a result,
we show several novel features, including the connection of the Dirac brackets.
In particular, through the path integral quantization, we obtain the desired
new type of the Wess-Zumino action.
|
[
{
"created": "Wed, 19 Nov 1997 06:18:46 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Park",
"Mu-In",
""
],
[
"Park",
"Young-Jai",
""
]
] |
We reconsider the Abelian pure Chern-Simons theory in three dimensions by using our improved Batalin-Fradkin-Tyutin Hamiltonian formalism. As a result, we show several novel features, including the connection of the Dirac brackets. In particular, through the path integral quantization, we obtain the desired new type of the Wess-Zumino action.
| 11.479253
| 8.094824
| 10.504373
| 8.471499
| 8.346101
| 8.228487
| 8.74102
| 8.369525
| 8.174246
| 11.670724
| 8.261965
| 8.863906
| 10.403483
| 9.420876
| 9.305211
| 9.16611
| 9.55708
| 9.243385
| 9.356243
| 10.34243
| 9.14335
|
hep-th/0510267
|
Hans-Thomas Elze
|
Hans-Thomas Elze
|
Quantum fields, cosmological constant and symmetry doubling
|
Replaced by published version, no change in contents - Int. J. Theor.
Phys. (2007)
|
Int.J.Theor.Phys.46:2063-2081,2007
|
10.1007/s10773-006-9337-3
| null |
hep-th gr-qc quant-ph
| null |
Energy-parity has been introduced by Kaplan and Sundrum as a protective
symmetry that suppresses matter contributions to the cosmological constant
[KS05]. It is shown here that this symmetry, schematically Energy --> - Energy,
arises in the Hilbert space representation of the classical phase space
dynamics of matter. Consistently with energy-parity and gauge symmetry, we
generalize the Liouville operator and allow a varying gauge coupling, as in
"varying alpha" or dilaton models. In this model, classical matter fields can
dynamically turn into quantum fields (Schroedinger picture), accompanied by a
gauge symmetry change -- presently, U(1) --> U(1) x U(1). The transition
between classical ensemble theory and quantum field theory is governed by the
varying coupling, in terms of a one-parameter deformation of either limit.
These corrections introduce diffusion and dissipation, leading to decoherence.
|
[
{
"created": "Mon, 31 Oct 2005 10:32:42 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Mar 2007 16:36:52 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Elze",
"Hans-Thomas",
""
]
] |
Energy-parity has been introduced by Kaplan and Sundrum as a protective symmetry that suppresses matter contributions to the cosmological constant [KS05]. It is shown here that this symmetry, schematically Energy --> - Energy, arises in the Hilbert space representation of the classical phase space dynamics of matter. Consistently with energy-parity and gauge symmetry, we generalize the Liouville operator and allow a varying gauge coupling, as in "varying alpha" or dilaton models. In this model, classical matter fields can dynamically turn into quantum fields (Schroedinger picture), accompanied by a gauge symmetry change -- presently, U(1) --> U(1) x U(1). The transition between classical ensemble theory and quantum field theory is governed by the varying coupling, in terms of a one-parameter deformation of either limit. These corrections introduce diffusion and dissipation, leading to decoherence.
| 20.730824
| 23.472269
| 21.572477
| 19.052187
| 21.892372
| 20.976763
| 21.793753
| 20.951551
| 19.198572
| 21.600206
| 22.126696
| 19.504425
| 19.467306
| 19.197752
| 19.624136
| 19.393791
| 19.082191
| 19.058308
| 19.608776
| 19.390951
| 19.097542
|
1410.5549
|
Zhiguang Xiao
|
Wenhe Cai, Chao Wu, Zhiguang Xiao
|
Baryons in the Sakai-Sugimoto model in the D0-D4 background
|
15 pages, 3 figures
| null |
10.1103/PhysRevD.90.106001
|
USTC-ICTS-14-18
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The baryon spectrum in the Sakai-Sugimoto model in the D4 background with
smeared D0 charges is studied. We follow the instanton description of baryons
by Hata et al.[Prog. Theor. Phys. 117, 1157]. The background corresponds to an
excited state with nonzero glue condensate $\langle {\rm tr} (F_{\mu\nu}\tilde
F^{\mu\nu})\rangle$ which is proportional to the D0 charge density. The baryon
size shrinks when we turn on small D0 charge density. But for larger D0 charge
density where massive modes in the gauge theory may also take effect, the size
of baryons will grow. The difference between baryon masses will become smaller
when D0 charge density increases. There may also be indications that the baryon
will become unstable and cannot exist for sufficiently large D0 density.
|
[
{
"created": "Tue, 21 Oct 2014 06:20:03 GMT",
"version": "v1"
}
] |
2015-06-23
|
[
[
"Cai",
"Wenhe",
""
],
[
"Wu",
"Chao",
""
],
[
"Xiao",
"Zhiguang",
""
]
] |
The baryon spectrum in the Sakai-Sugimoto model in the D4 background with smeared D0 charges is studied. We follow the instanton description of baryons by Hata et al.[Prog. Theor. Phys. 117, 1157]. The background corresponds to an excited state with nonzero glue condensate $\langle {\rm tr} (F_{\mu\nu}\tilde F^{\mu\nu})\rangle$ which is proportional to the D0 charge density. The baryon size shrinks when we turn on small D0 charge density. But for larger D0 charge density where massive modes in the gauge theory may also take effect, the size of baryons will grow. The difference between baryon masses will become smaller when D0 charge density increases. There may also be indications that the baryon will become unstable and cannot exist for sufficiently large D0 density.
| 7.865016
| 7.013945
| 8.810266
| 7.213525
| 7.934434
| 7.955834
| 7.511298
| 7.578379
| 7.077231
| 9.1513
| 7.211138
| 7.35781
| 7.621446
| 7.451881
| 7.445058
| 7.235971
| 7.544611
| 7.390439
| 7.360335
| 7.913408
| 7.581817
|
hep-th/9708074
|
Paul Townsend
|
P.K. Townsend
|
M-branes at angles
|
5pp Latex. To appear in proceedings of 1997 Trieste conference on
"Duality Symmetries in String Theory - II". Minor corrections
|
Nucl.Phys.Proc.Suppl. 67 (1998) 88-92
|
10.1016/S0920-5632(98)00124-8
| null |
hep-th
| null |
Supersymmetric configurations of non-orthogonally intersecting M-5-branes can
be obtained by rotation of one of a pair of parallel M-5-branes. Examples
preserving 1/4, 3/16 and 1/8 supersymmetry are reviewed.
|
[
{
"created": "Wed, 13 Aug 1997 15:02:02 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Aug 1997 14:21:32 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Townsend",
"P. K.",
""
]
] |
Supersymmetric configurations of non-orthogonally intersecting M-5-branes can be obtained by rotation of one of a pair of parallel M-5-branes. Examples preserving 1/4, 3/16 and 1/8 supersymmetry are reviewed.
| 9.418594
| 6.325244
| 8.701661
| 7.088608
| 6.888576
| 6.865928
| 6.628871
| 6.469953
| 7.250727
| 11.692947
| 6.739483
| 6.779947
| 8.966252
| 7.225652
| 6.863253
| 6.786022
| 6.722679
| 6.68274
| 7.359521
| 8.278969
| 6.848366
|
2105.05814
|
Koichi Nagasaki
|
Koichi Nagasaki
|
D5-brane in AdS black holes with nonzero gauge flux
|
15 pages, 14 figures, Typo corrected
| null |
10.1142/S0217751X21501906
| null |
hep-th
|
http://creativecommons.org/publicdomain/zero/1.0/
|
We find the probe D5-brane solution on the black home spacetime which is
asymptomatically AdS_5 x S^5. These black holes have spherical, hyperbolic and
toroidal structures. Depending on the gauge flux on the D5-brane, the D5-brane
behaves differently. This By adding the fundamental string, the potential
energy of the interface solution and the Wilson loop is given in the case of
non zero gauge flux.
|
[
{
"created": "Wed, 12 May 2021 17:24:30 GMT",
"version": "v1"
},
{
"created": "Sun, 6 Jun 2021 04:59:52 GMT",
"version": "v2"
}
] |
2021-11-17
|
[
[
"Nagasaki",
"Koichi",
""
]
] |
We find the probe D5-brane solution on the black home spacetime which is asymptomatically AdS_5 x S^5. These black holes have spherical, hyperbolic and toroidal structures. Depending on the gauge flux on the D5-brane, the D5-brane behaves differently. This By adding the fundamental string, the potential energy of the interface solution and the Wilson loop is given in the case of non zero gauge flux.
| 19.023634
| 16.449356
| 19.347599
| 16.470453
| 14.581399
| 16.680557
| 15.89098
| 15.2052
| 15.006104
| 22.596445
| 14.800972
| 16.059259
| 17.986822
| 15.883691
| 15.883335
| 16.630352
| 15.379752
| 16.314541
| 16.645502
| 18.091198
| 15.700826
|
0810.2365
|
Joanna L. Karczmarek
|
Joanna L. Karczmarek and Daoyan Wang
|
Into the bulk: reconstructing spacetime from the c=1 matrix model
|
19 pages, 3 figures
|
Phys.Rev.D82:126004,2010
|
10.1103/PhysRevD.82.126004
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We write down exact solutions in the collective field theory of the c=1
matrix model and in dilaton-gravity coupled to a massless scalar. Using the
known correspondence between these two theories at the null boundaries of
spacetime, we make a connection between scalar fields in these two theories in
the bulk of spacetime. In the process, we gain insight into how a theory
containing gravity can be equivalent to one without gravity. We analyze a
simple time-dependent background as an example.
|
[
{
"created": "Tue, 14 Oct 2008 19:43:21 GMT",
"version": "v1"
}
] |
2010-12-28
|
[
[
"Karczmarek",
"Joanna L.",
""
],
[
"Wang",
"Daoyan",
""
]
] |
We write down exact solutions in the collective field theory of the c=1 matrix model and in dilaton-gravity coupled to a massless scalar. Using the known correspondence between these two theories at the null boundaries of spacetime, we make a connection between scalar fields in these two theories in the bulk of spacetime. In the process, we gain insight into how a theory containing gravity can be equivalent to one without gravity. We analyze a simple time-dependent background as an example.
| 11.171835
| 10.045214
| 11.435276
| 9.816901
| 9.875769
| 10.121856
| 11.004378
| 10.296756
| 9.680935
| 11.434186
| 9.68828
| 10.147536
| 10.296846
| 9.956975
| 9.603734
| 10.17942
| 10.024629
| 9.32125
| 9.73088
| 10.829062
| 9.574379
|
hep-th/0006013
|
Guang-Hong Chen
|
Guang-Hong Chen and Yong-Shi Wu
|
Comments on Noncommutative Open String Theory: V-duality and Holography
|
23 pages, RevTex, typos corrected,PRD final version
|
Phys.Rev. D63 (2001) 086003
|
10.1103/PhysRevD.63.086003
|
NSF-ITP-00-47
|
hep-th
| null |
In this paper we study the interplay of electric and magnetic backgrounds in
determining the decoupling limit of coincident D-branes towards a
noncommutative Yang-Mills (NCYM) or open string (NCOS) theory. No decoupling
limit has been found for NCYM with space-time noncommutativity. It is suggested
that there is a new duality, which we call V-duality, which acts on NCOS with
both space-space and space-time noncommutativity, resulting from decoupling in
Lorentz-boost related backgrounds. We also show that the holographic
correspondence, previously suggested by Li and Wu, between NCYM and its
supergravity dual can be generalized to NCOS as well.
|
[
{
"created": "Thu, 1 Jun 2000 22:48:24 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Jun 2000 21:48:39 GMT",
"version": "v2"
},
{
"created": "Wed, 27 Dec 2000 20:14:22 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Chen",
"Guang-Hong",
""
],
[
"Wu",
"Yong-Shi",
""
]
] |
In this paper we study the interplay of electric and magnetic backgrounds in determining the decoupling limit of coincident D-branes towards a noncommutative Yang-Mills (NCYM) or open string (NCOS) theory. No decoupling limit has been found for NCYM with space-time noncommutativity. It is suggested that there is a new duality, which we call V-duality, which acts on NCOS with both space-space and space-time noncommutativity, resulting from decoupling in Lorentz-boost related backgrounds. We also show that the holographic correspondence, previously suggested by Li and Wu, between NCYM and its supergravity dual can be generalized to NCOS as well.
| 9.524309
| 8.730798
| 9.559557
| 8.338803
| 8.981887
| 8.600034
| 8.436262
| 8.596118
| 8.292555
| 10.940519
| 8.219502
| 8.099392
| 9.406621
| 8.596997
| 8.578445
| 8.608298
| 8.841938
| 8.324755
| 8.666864
| 9.150854
| 8.251466
|
2110.05919
|
Turmoli Neogi
|
Nabamita Banerjee, Arindam Bhattacharjee, Surajit Biswas and Turmoli
Neogi
|
Dual Theory for maximally $\mathcal{N}$ extended flat Supergravity
|
23 pages, typos corrected, 2 references added, some explanation
included
| null |
10.1007/JHEP05(2022)179
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
Maximally $\mathcal{N}$ extended $2+1$ dimensional flat Supergravity theories
exist for a class of super-Poincar\'{e} algebras for arbitrary $\mathcal{N}$.
They have rich asymptotic structures and contain all interesting topological
supergravity solutions in presence of non-trivial holonomy. For the asymptotic
symmetry algebra being a suitable flat limit of the superconformal algebra
$Osp(\mathcal{N}|2;R)$, we have found the $1+1$ dimensional chiral WZW model as
the dual quantum field theory that describes the dynamics of these solutions.
In the Hamiltonian analysis, the reduced phase space resembles a flat super
Liouville theory.
|
[
{
"created": "Tue, 12 Oct 2021 12:05:21 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Mar 2022 16:42:12 GMT",
"version": "v2"
}
] |
2022-06-15
|
[
[
"Banerjee",
"Nabamita",
""
],
[
"Bhattacharjee",
"Arindam",
""
],
[
"Biswas",
"Surajit",
""
],
[
"Neogi",
"Turmoli",
""
]
] |
Maximally $\mathcal{N}$ extended $2+1$ dimensional flat Supergravity theories exist for a class of super-Poincar\'{e} algebras for arbitrary $\mathcal{N}$. They have rich asymptotic structures and contain all interesting topological supergravity solutions in presence of non-trivial holonomy. For the asymptotic symmetry algebra being a suitable flat limit of the superconformal algebra $Osp(\mathcal{N}|2;R)$, we have found the $1+1$ dimensional chiral WZW model as the dual quantum field theory that describes the dynamics of these solutions. In the Hamiltonian analysis, the reduced phase space resembles a flat super Liouville theory.
| 10.775438
| 8.696354
| 9.285988
| 8.738732
| 8.633592
| 9.25438
| 9.325548
| 9.387938
| 9.140557
| 10.128876
| 8.895762
| 9.370468
| 9.26549
| 9.008751
| 9.037899
| 8.697853
| 8.970356
| 9.120016
| 9.124551
| 9.19228
| 9.03231
|
1809.05770
|
Irfan Ilgin
|
Irfan Ilgin
|
Bekenstein bound in the bulk and AdS/CFT
|
34 pages, 3 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we identify the change in the boundary full modular
hamiltonian with the bulk observables for spherically symmetric excitations.
The identification is demonstrated for perturbative as well as non perturbative
excitations. We introduce the notion of the sphere of ignorance, that describes
the bulk region that can not be probed by boundary regions below a certain
size. It is argued that the vacuum subtracted entropy in the bulk associated
with the sphere of ignorance is bounded by the difference of the change of
entanglement entropies for complementary regions in the boundary for
spherically symmetric state. Bekenstein bound for the sphere of ignorance
reflects itself in the boundary theory as the positivity and monotonicity of
the relative entropy of the complementary boundary balls. We compare the
proposed bound with Araki-Lieb bound and identify the non-trivial domains where
Bekenstein limit sets the lower bound. Moreover, we clarify throughout the
paper fundamental differences between pure state and thermal excitations from
an information theoretic point.
|
[
{
"created": "Sat, 15 Sep 2018 21:06:42 GMT",
"version": "v1"
}
] |
2018-09-18
|
[
[
"Ilgin",
"Irfan",
""
]
] |
In this paper, we identify the change in the boundary full modular hamiltonian with the bulk observables for spherically symmetric excitations. The identification is demonstrated for perturbative as well as non perturbative excitations. We introduce the notion of the sphere of ignorance, that describes the bulk region that can not be probed by boundary regions below a certain size. It is argued that the vacuum subtracted entropy in the bulk associated with the sphere of ignorance is bounded by the difference of the change of entanglement entropies for complementary regions in the boundary for spherically symmetric state. Bekenstein bound for the sphere of ignorance reflects itself in the boundary theory as the positivity and monotonicity of the relative entropy of the complementary boundary balls. We compare the proposed bound with Araki-Lieb bound and identify the non-trivial domains where Bekenstein limit sets the lower bound. Moreover, we clarify throughout the paper fundamental differences between pure state and thermal excitations from an information theoretic point.
| 13.466286
| 12.654997
| 13.816085
| 12.244761
| 13.044035
| 12.268538
| 13.136482
| 12.768672
| 12.721333
| 14.22845
| 12.573255
| 11.700145
| 12.958017
| 12.07197
| 11.855497
| 12.132699
| 11.789141
| 12.323432
| 11.918838
| 12.783924
| 12.338829
|
hep-th/9406003
|
Stam Nicolis
|
A. Hulsebos, C. P. Korthals-Altes and S. Nicolis
|
Gauge Theories with a Layered Phase
|
17 pages+9 figures (in LATeX and PostScript in a uuencoded,
compressed tar file appended at the end of the LATeX file) , CPT-94/P.3036
|
Nucl.Phys. B450 (1995) 437-451
|
10.1016/0550-3213(95)00306-D
| null |
hep-th
| null |
We study abelian gauge theories with anisotropic couplings in $4+D$
dimensions. A layered phase is present, in the absence as well as in the
presence of fermions. A line of second order transitions separates the layered
from the Coulomb phase, if $D\leq 3$.
|
[
{
"created": "Wed, 1 Jun 1994 12:13:54 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Hulsebos",
"A.",
""
],
[
"Korthals-Altes",
"C. P.",
""
],
[
"Nicolis",
"S.",
""
]
] |
We study abelian gauge theories with anisotropic couplings in $4+D$ dimensions. A layered phase is present, in the absence as well as in the presence of fermions. A line of second order transitions separates the layered from the Coulomb phase, if $D\leq 3$.
| 9.932606
| 9.165586
| 9.250085
| 8.41629
| 8.082607
| 8.966768
| 8.56437
| 8.244366
| 9.101282
| 8.476502
| 9.122428
| 8.472043
| 9.225799
| 8.686836
| 8.649992
| 8.723944
| 8.713426
| 8.680962
| 9.206357
| 9.034192
| 8.287201
|
hep-th/9502060
|
Weston Robert
|
Michio Jimbo, Rinat Kedem, Hitoshi Konno, Tetsuji Miwa and Robert
Weston
|
Difference Equations in Spin Chains with a Boundary
|
28 pages, LaTeX with amssymbols.sty, 7 uuencoded postscript figures
|
Nucl.Phys. B448 (1995) 429-456
|
10.1016/0550-3213(95)00218-H
|
RIMS-1005, CRM-2246
|
hep-th
| null |
Correlation functions and form factors in vertex models or spin chains are
known to satisfy certain difference equations called the quantum
Knizhnik-Zamolodchikov equations. We find similar difference equations for the
case of semi-infinite spin chain systems with integrable boundary conditions.
We derive these equations using the properties of the vertex operators and the
boundary vacuum state, or alternatively through corner transfer matrix
arguments for the 8-vertex model with a boundary. The spontaneous boundary
magnetization is found by solving such difference equations. The boundary
$S$-matrix is also proposed and compared, in the sine-Gordon limit, with
Ghoshal--Zamolodchikov's result. The axioms satisfied by the form factors in
the boundary theory are formulated.
|
[
{
"created": "Fri, 10 Feb 1995 03:10:50 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Jimbo",
"Michio",
""
],
[
"Kedem",
"Rinat",
""
],
[
"Konno",
"Hitoshi",
""
],
[
"Miwa",
"Tetsuji",
""
],
[
"Weston",
"Robert",
""
]
] |
Correlation functions and form factors in vertex models or spin chains are known to satisfy certain difference equations called the quantum Knizhnik-Zamolodchikov equations. We find similar difference equations for the case of semi-infinite spin chain systems with integrable boundary conditions. We derive these equations using the properties of the vertex operators and the boundary vacuum state, or alternatively through corner transfer matrix arguments for the 8-vertex model with a boundary. The spontaneous boundary magnetization is found by solving such difference equations. The boundary $S$-matrix is also proposed and compared, in the sine-Gordon limit, with Ghoshal--Zamolodchikov's result. The axioms satisfied by the form factors in the boundary theory are formulated.
| 8.965656
| 8.807063
| 10.796099
| 8.139662
| 8.626542
| 8.704331
| 8.865133
| 8.258733
| 7.693864
| 11.1868
| 8.18003
| 7.760713
| 9.038465
| 7.725217
| 7.677305
| 7.635631
| 7.667462
| 7.648711
| 7.782813
| 8.68587
| 7.77218
|
hep-th/0610317
|
Mikhail Plyushchay
|
Peter A. Horvathy, Mikhail S. Plyushchay and Mauricio Valenzuela
|
Bosonized supersymmetry of anyons and supersymmetric exotic particle on
the non-commutative plane
|
18 pages; new section on noncommutative coordinates and refs added,
the version to appear in Nucl. Phys. B
|
Nucl.Phys.B768:247-262,2007
|
10.1016/j.nuclphysb.2007.01.021
| null |
hep-th math-ph math.MP quant-ph
| null |
A covariant set of linear differential field equations, describing an N=1
supersymmetric anyon system in (2+1)D, is proposed in terms of Wigner's
deformation of the bosonic Heisenberg algebra. The non-relativistic
``Jackiw-Nair'' limit extracts the ordinary bosonic and fermionic degrees of
freedom from the Heisenberg-Wigner algebra. It yields first-order,
non-relativistic wave equations for a spinning particle on the non-commutative
plane that admits a Galilean exotic planar N=1 supersymmetry.
|
[
{
"created": "Mon, 30 Oct 2006 19:13:41 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Jan 2007 03:49:43 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Horvathy",
"Peter A.",
""
],
[
"Plyushchay",
"Mikhail S.",
""
],
[
"Valenzuela",
"Mauricio",
""
]
] |
A covariant set of linear differential field equations, describing an N=1 supersymmetric anyon system in (2+1)D, is proposed in terms of Wigner's deformation of the bosonic Heisenberg algebra. The non-relativistic ``Jackiw-Nair'' limit extracts the ordinary bosonic and fermionic degrees of freedom from the Heisenberg-Wigner algebra. It yields first-order, non-relativistic wave equations for a spinning particle on the non-commutative plane that admits a Galilean exotic planar N=1 supersymmetry.
| 12.089274
| 9.750966
| 14.036166
| 10.523258
| 9.897062
| 10.063134
| 9.846732
| 10.509605
| 10.244933
| 15.80852
| 10.06321
| 9.953163
| 11.916226
| 10.22239
| 10.328503
| 10.176387
| 9.818763
| 10.076557
| 10.362993
| 12.114656
| 10.655564
|
1612.07672
|
Andreas Kapfer
|
Andreas Kapfer
|
Geometric Symmetries and Topological Terms in F-theory and Field Theory
|
PhD Thesis
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this thesis we investigate topological aspects and arithmetic structures
in quantum field theory and string theory. Particular focus is put on
consistent truncations of supergravity and compactifications of F-theory.
|
[
{
"created": "Thu, 22 Dec 2016 16:04:48 GMT",
"version": "v1"
}
] |
2016-12-23
|
[
[
"Kapfer",
"Andreas",
""
]
] |
In this thesis we investigate topological aspects and arithmetic structures in quantum field theory and string theory. Particular focus is put on consistent truncations of supergravity and compactifications of F-theory.
| 9.591631
| 6.110763
| 8.784044
| 6.438642
| 6.914947
| 7.088583
| 6.546276
| 6.256729
| 6.619611
| 8.338332
| 6.939296
| 7.069153
| 7.708681
| 7.094096
| 7.050494
| 6.894615
| 6.79496
| 6.896734
| 6.581025
| 7.568773
| 7.064122
|
hep-th/9406162
|
John Gracey
|
J.A. Gracey
|
The Beta-Function of the Chiral Gross Neveu Model at O(1/N^2)
|
17 latex pages, 3 figures available from author on request, LTH-335
|
Phys.Rev.D50:2840-2847,1994; Erratum-ibid.D59:109904,1999
|
10.1103/PhysRevD.50.2840 10.1103/PhysRevD.59.109904
| null |
hep-th
| null |
We compute the $O(1/N^2)$ correction to the critical exponent $2\lambda$ $=$
$-$ $\beta^\prime(g_c)$ for the chiral Gross Neveu model in arbitrary
dimensions by substituting the corrections to the asymptotic scaling forms of
the propagators into the Schwinger Dyson equations and solving the resulting
consistency equations.
|
[
{
"created": "Fri, 24 Jun 1994 09:25:00 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Gracey",
"J. A.",
""
]
] |
We compute the $O(1/N^2)$ correction to the critical exponent $2\lambda$ $=$ $-$ $\beta^\prime(g_c)$ for the chiral Gross Neveu model in arbitrary dimensions by substituting the corrections to the asymptotic scaling forms of the propagators into the Schwinger Dyson equations and solving the resulting consistency equations.
| 11.327982
| 10.194595
| 11.955748
| 10.38325
| 10.409903
| 10.290813
| 9.232432
| 8.797059
| 9.537793
| 13.870584
| 9.308904
| 9.89291
| 10.865123
| 10.548539
| 10.326947
| 10.266613
| 9.585023
| 10.158994
| 10.164873
| 11.167669
| 9.852136
|
2304.12977
|
Ashutosh Dash
|
Ashutosh Dash, Ankit Kumar Panda
|
Charged participants and their electromagnetic fields in an expanding
fluid
|
13 pages, 5 figures. Minor revisions and a new figure showing domain
of influence added
| null | null | null |
hep-th nucl-th physics.flu-dyn
|
http://creativecommons.org/licenses/by/4.0/
|
We investigate the space-time dependence of electromagnetic fields produced
by charged participants in an expanding fluid. To address this problem, we need
to solve the Maxwell's equations coupled to the hydrodynamics conservation
equation, specifically the relativistic magnetohydrodynamics (RMHD) equations,
since the charged participants move with the flow. To gain analytical insight,
we approximate the problem by solving the equations in a fixed background
Bjorken flow, onto which we solve Maxwell's equations. The dynamical
electromagnetic fields interact with the fluid's kinematic quantities such as
the shear tensor and the expansion scalar, leading to additional non-trivial
coupling. We use mode decomposition of Green's function to solve the resulting
non-linear coupled wave equations. We then use this function to calculate the
electromagnetic field for two test cases: a point source and a transverse
charge distribution. The results show that the resulting magnetic field
vanishes at very early times, grows, and eventually falls at later times.
|
[
{
"created": "Tue, 25 Apr 2023 16:35:18 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Nov 2023 15:05:21 GMT",
"version": "v2"
}
] |
2023-11-23
|
[
[
"Dash",
"Ashutosh",
""
],
[
"Panda",
"Ankit Kumar",
""
]
] |
We investigate the space-time dependence of electromagnetic fields produced by charged participants in an expanding fluid. To address this problem, we need to solve the Maxwell's equations coupled to the hydrodynamics conservation equation, specifically the relativistic magnetohydrodynamics (RMHD) equations, since the charged participants move with the flow. To gain analytical insight, we approximate the problem by solving the equations in a fixed background Bjorken flow, onto which we solve Maxwell's equations. The dynamical electromagnetic fields interact with the fluid's kinematic quantities such as the shear tensor and the expansion scalar, leading to additional non-trivial coupling. We use mode decomposition of Green's function to solve the resulting non-linear coupled wave equations. We then use this function to calculate the electromagnetic field for two test cases: a point source and a transverse charge distribution. The results show that the resulting magnetic field vanishes at very early times, grows, and eventually falls at later times.
| 10.537504
| 11.397242
| 10.576804
| 9.922319
| 11.197267
| 11.642668
| 11.274525
| 11.048529
| 10.456582
| 11.217435
| 10.426739
| 10.488397
| 10.237497
| 10.096057
| 10.35549
| 10.755275
| 10.455001
| 10.596214
| 9.93128
| 10.339028
| 10.192558
|
hep-th/0205083
|
Adam Ritz
|
A. Ritz, M. Shifman, A. Vainshtein
|
Counting Domain Walls in N=1 Super Yang-Mills Theory
|
28 pages, RevTeX, 3 figures; v2: discussion of the index slightly
expanded, using an alternative regulator, and references added; v3: typos
corrected, to appear in Phys. Rev. D
|
Phys.Rev. D66 (2002) 065015
|
10.1103/PhysRevD.66.065015
| null |
hep-th
| null |
We study the multiplicity of BPS domain walls in N=1 super Yang-Mills theory,
by passing to a weakly coupled Higgs phase through the addition of fundamental
matter. The number of domain walls connecting two specified vacuum states is
then determined via the Witten index of the induced worldvolume theory, which
is invariant under the deformation to the Higgs phase. The worldvolume theory
is a sigma model with a Grassmanian target space which arises as the coset
associated with the global symmetries broken by the wall solution. Imposing a
suitable infrared regulator, the result is found to agree with recent work of
Acharya and Vafa in which the walls were realized as wrapped D4-branes in IIA
string theory.
|
[
{
"created": "Thu, 9 May 2002 18:13:31 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Jun 2002 11:19:21 GMT",
"version": "v2"
},
{
"created": "Thu, 15 Aug 2002 14:34:40 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Ritz",
"A.",
""
],
[
"Shifman",
"M.",
""
],
[
"Vainshtein",
"A.",
""
]
] |
We study the multiplicity of BPS domain walls in N=1 super Yang-Mills theory, by passing to a weakly coupled Higgs phase through the addition of fundamental matter. The number of domain walls connecting two specified vacuum states is then determined via the Witten index of the induced worldvolume theory, which is invariant under the deformation to the Higgs phase. The worldvolume theory is a sigma model with a Grassmanian target space which arises as the coset associated with the global symmetries broken by the wall solution. Imposing a suitable infrared regulator, the result is found to agree with recent work of Acharya and Vafa in which the walls were realized as wrapped D4-branes in IIA string theory.
| 7.176864
| 7.635363
| 9.801908
| 7.571839
| 7.660261
| 7.180399
| 7.394826
| 7.849848
| 7.711303
| 9.488847
| 7.064042
| 7.10708
| 8.019176
| 7.198665
| 7.089083
| 7.17771
| 7.192777
| 7.062701
| 7.437314
| 7.867436
| 6.943815
|
2207.04559
|
Job Furtado Neto
|
J. Furtado, C. R. Muniz, M. S. Cunha, J. E. G. Silva
|
On quantum traversability of wormholes
|
5 pages, two columuns, 3 figures
| null |
10.1142/S0218271823500566
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
In this paper we study the possibility of non-relativistic quantum particles
to traverse the generalized Ellis-Bronnikov wormholes by considering quantum
effects, such as tunneling. We have used the generalized Ellis-Bronnikov
wormhole metric and found that for $n=2$ we have a single barrier shaped
effective potential centered at the throat of the wormhole for any value of
orbital angular momentum. For $n\neq2$ we have a symmetric double barrier
shaped potential when the orbital angular momentum is zero and a single barrier
for nonzero angular orbital momentum. Analytical solutions for the
Schr\"{o}dinger equation in the generalized Ellis-Bronnikov spacetime could be
found only for $n=2$. Such solutions were given in terms of the confluent Heun
functions. Finally, by using a delta-barrier approximation we could find the
transmission and reflection coefficients for a non-relativistic particle to
traverse the generalized Ellis-Bronnikov wormhole.
|
[
{
"created": "Sun, 10 Jul 2022 22:42:33 GMT",
"version": "v1"
}
] |
2023-08-16
|
[
[
"Furtado",
"J.",
""
],
[
"Muniz",
"C. R.",
""
],
[
"Cunha",
"M. S.",
""
],
[
"Silva",
"J. E. G.",
""
]
] |
In this paper we study the possibility of non-relativistic quantum particles to traverse the generalized Ellis-Bronnikov wormholes by considering quantum effects, such as tunneling. We have used the generalized Ellis-Bronnikov wormhole metric and found that for $n=2$ we have a single barrier shaped effective potential centered at the throat of the wormhole for any value of orbital angular momentum. For $n\neq2$ we have a symmetric double barrier shaped potential when the orbital angular momentum is zero and a single barrier for nonzero angular orbital momentum. Analytical solutions for the Schr\"{o}dinger equation in the generalized Ellis-Bronnikov spacetime could be found only for $n=2$. Such solutions were given in terms of the confluent Heun functions. Finally, by using a delta-barrier approximation we could find the transmission and reflection coefficients for a non-relativistic particle to traverse the generalized Ellis-Bronnikov wormhole.
| 5.904558
| 6.311737
| 5.452783
| 5.377993
| 5.718973
| 5.890892
| 6.19881
| 5.322883
| 6.183948
| 5.516985
| 5.906735
| 5.8199
| 5.371612
| 5.684864
| 5.696375
| 5.604957
| 5.688629
| 5.465783
| 5.954092
| 5.454931
| 5.624178
|
2203.08842
|
A. Ramesh Chandra
|
A. Ramesh Chandra, Jan de Boer, Mario Flory, Michal P. Heller, Sergio
H\"ortner, Andrew Rolph
|
Cost of holographic path integrals
|
53 pages + appendices, 15 figures; v2: added references, v3: minor
corrections, added a figure in section 4
|
SciPost Phys. 14, 061 (2023)
|
10.21468/SciPostPhys.14.4.061
| null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider proposals for the cost of holographic path integrals.
Gravitational path integrals within finite radial cutoff surfaces have a
precise map to path integrals in $T\bar T$ deformed holographic CFTs. In
Nielsen's geometric formulation cost is the length of a
not-necessarily-geodesic path in a metric space of operators. Our cost
proposals differ from holographic state complexity proposals in that (1) the
boundary dual is cost, a quantity that can be `optimised' to state complexity,
(2) the set of proposals is large: all functions on all bulk subregions of any
co-dimension which satisfy the physical properties of cost, and (3) the
proposals are by construction UV-finite. The optimal path integral that
prepares a given state is that with minimal cost, and cost proposals which
reduce to the CV and CV2.0 complexity conjectures when the path integral is
optimised are found, while bounded cost proposals based on gravitational action
are not found. Related to our analysis of gravitational action-based proposals,
we study bulk hypersurfaces with a constant intrinsic curvature of a specific
value and give a Lorentzian version of the Gauss-Bonnet theorem valid in the
presence of conical singularities.
|
[
{
"created": "Wed, 16 Mar 2022 18:00:04 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Jun 2022 17:43:28 GMT",
"version": "v2"
},
{
"created": "Mon, 10 Oct 2022 11:02:59 GMT",
"version": "v3"
}
] |
2023-04-05
|
[
[
"Chandra",
"A. Ramesh",
""
],
[
"de Boer",
"Jan",
""
],
[
"Flory",
"Mario",
""
],
[
"Heller",
"Michal P.",
""
],
[
"Hörtner",
"Sergio",
""
],
[
"Rolph",
"Andrew",
""
]
] |
We consider proposals for the cost of holographic path integrals. Gravitational path integrals within finite radial cutoff surfaces have a precise map to path integrals in $T\bar T$ deformed holographic CFTs. In Nielsen's geometric formulation cost is the length of a not-necessarily-geodesic path in a metric space of operators. Our cost proposals differ from holographic state complexity proposals in that (1) the boundary dual is cost, a quantity that can be `optimised' to state complexity, (2) the set of proposals is large: all functions on all bulk subregions of any co-dimension which satisfy the physical properties of cost, and (3) the proposals are by construction UV-finite. The optimal path integral that prepares a given state is that with minimal cost, and cost proposals which reduce to the CV and CV2.0 complexity conjectures when the path integral is optimised are found, while bounded cost proposals based on gravitational action are not found. Related to our analysis of gravitational action-based proposals, we study bulk hypersurfaces with a constant intrinsic curvature of a specific value and give a Lorentzian version of the Gauss-Bonnet theorem valid in the presence of conical singularities.
| 16.10181
| 17.772781
| 17.887119
| 15.000559
| 16.854427
| 17.669395
| 17.237389
| 15.527107
| 15.584593
| 20.931261
| 14.753345
| 15.624476
| 17.06163
| 15.41542
| 15.729241
| 16.017206
| 15.573432
| 15.594907
| 15.107141
| 17.054497
| 15.55625
|
1409.4948
|
Paul Mansfield
|
James P. Edwards and Paul Mansfield
|
QED as the tensionless limit of the spinning string with contact
interaction
|
11 pages, no figures
| null |
10.1016/j.physletb.2015.05.024
|
DCPT-14/39
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We outline how QED with spinor matter can be described by the tensionless
limit of spinning strings with contact interactions. The strings represent
electric lines of force with charges at their ends. The contact interaction is
constructed from a delta-function on the world-sheet which, although off-shell,
decouples from the world-sheet metric. Integrating out the string degrees of
freedom with fixed boundary generates the super-Wilson loop that couples spinor
matter to electromagnetism in the world-line formalism. World-sheet and
world-line, but not spacetime, supersymmetry underpin the model.
|
[
{
"created": "Wed, 17 Sep 2014 11:21:52 GMT",
"version": "v1"
}
] |
2015-06-11
|
[
[
"Edwards",
"James P.",
""
],
[
"Mansfield",
"Paul",
""
]
] |
We outline how QED with spinor matter can be described by the tensionless limit of spinning strings with contact interactions. The strings represent electric lines of force with charges at their ends. The contact interaction is constructed from a delta-function on the world-sheet which, although off-shell, decouples from the world-sheet metric. Integrating out the string degrees of freedom with fixed boundary generates the super-Wilson loop that couples spinor matter to electromagnetism in the world-line formalism. World-sheet and world-line, but not spacetime, supersymmetry underpin the model.
| 13.786077
| 12.734783
| 13.943871
| 13.216206
| 14.164901
| 13.569584
| 14.944724
| 13.248528
| 14.125072
| 16.942724
| 13.51827
| 13.696125
| 13.812163
| 13.203617
| 13.39831
| 14.164089
| 13.56327
| 13.197684
| 13.245646
| 13.438905
| 13.015755
|
hep-th/0403009
|
Nobuhito Maru
|
Minoru Eto, Nobuhito Maru and Norisuke Sakai
|
Radius Stabilization in a Supersymmetric Warped Compactification
|
6 pages, revtex, Errors of the products of distributions are
corrected and the results are reanalyzed, references added, final version to
appear in PRD
|
Phys.Rev.D70:086002,2004
|
10.1103/PhysRevD.70.086002
|
TIT/HEP-517
|
hep-th hep-ph
| null |
A supersymmetric (SUSY) model of radius stabilization is constructed for the
S^1/Z_2 warped compactifications with a hypermultiplet in five dimensions.
Requiring the continuity of scalar field across the boundaries, we obtain
radius stabilization preserving SUSY, realizing the SUSY extension of the
Goldberger-Wise mechanism. Even if we allow discontinuities of the Z_2 odd
field across the boundary, we always obtain SUSY preservation but obtain the
radius stabilization only when the discontinuity is fixed by other mechanism.
|
[
{
"created": "Mon, 1 Mar 2004 19:00:05 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Apr 2004 11:01:47 GMT",
"version": "v2"
},
{
"created": "Tue, 20 Apr 2004 08:14:37 GMT",
"version": "v3"
},
{
"created": "Tue, 7 Sep 2004 06:13:11 GMT",
"version": "v4"
}
] |
2010-11-19
|
[
[
"Eto",
"Minoru",
""
],
[
"Maru",
"Nobuhito",
""
],
[
"Sakai",
"Norisuke",
""
]
] |
A supersymmetric (SUSY) model of radius stabilization is constructed for the S^1/Z_2 warped compactifications with a hypermultiplet in five dimensions. Requiring the continuity of scalar field across the boundaries, we obtain radius stabilization preserving SUSY, realizing the SUSY extension of the Goldberger-Wise mechanism. Even if we allow discontinuities of the Z_2 odd field across the boundary, we always obtain SUSY preservation but obtain the radius stabilization only when the discontinuity is fixed by other mechanism.
| 11.277538
| 10.515115
| 11.306932
| 10.74637
| 11.913286
| 10.834102
| 10.905786
| 10.771886
| 10.259344
| 12.218156
| 10.862828
| 10.19069
| 10.155574
| 10.093323
| 10.660135
| 10.440442
| 10.232175
| 10.261531
| 10.387044
| 10.79433
| 10.288873
|
1501.00211
|
Peter Mati
|
P. Mati
|
Vanishing Beta Function curves from the Functional Renormalisation Group
|
29 pages, 44 figures, uses revtex4-1, some minor improvements,
Appendix is added
|
Phys. Rev. D 91, 125038 (2015)
|
10.1103/PhysRevD.91.125038
| null |
hep-th cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we will discuss the derivation of the so-called vanishing beta
function curves which can be used to explore the fixed point structure of the
theory under consideration. This can be applied to the O($N$) symmetric
theories, essentially, for arbitrary dimensions ($D$) and field component
($N$). We will show the restoration of the Mermin-Wagner theorem for theories
defined in $D\leq2$ and the presence of the Wilson-Fisher fixed point in
$2<D<4$. Triviality is found in $D>4$. Interestingly, one needs to make an
excursion to the complex plane to see the triviality of the four-dimensional
O($N$) theories. The large-$N$ analysis shows a new fixed point candidate in
$4<D<6$ dimensions which turns out to define an unbounded fixed point potential
supporting the recent results by R. Percacci and G. P. Vacca in: "Are there
scaling solutions in the O($N$) models for large-$N$ in $D>4$?" [Phys. Rev. D
90, 107702 (2014)].
|
[
{
"created": "Wed, 31 Dec 2014 21:17:12 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Jan 2015 12:50:12 GMT",
"version": "v2"
},
{
"created": "Wed, 16 Sep 2015 21:54:54 GMT",
"version": "v3"
}
] |
2015-09-18
|
[
[
"Mati",
"P.",
""
]
] |
In this paper we will discuss the derivation of the so-called vanishing beta function curves which can be used to explore the fixed point structure of the theory under consideration. This can be applied to the O($N$) symmetric theories, essentially, for arbitrary dimensions ($D$) and field component ($N$). We will show the restoration of the Mermin-Wagner theorem for theories defined in $D\leq2$ and the presence of the Wilson-Fisher fixed point in $2<D<4$. Triviality is found in $D>4$. Interestingly, one needs to make an excursion to the complex plane to see the triviality of the four-dimensional O($N$) theories. The large-$N$ analysis shows a new fixed point candidate in $4<D<6$ dimensions which turns out to define an unbounded fixed point potential supporting the recent results by R. Percacci and G. P. Vacca in: "Are there scaling solutions in the O($N$) models for large-$N$ in $D>4$?" [Phys. Rev. D 90, 107702 (2014)].
| 8.399194
| 9.049505
| 9.2613
| 8.240028
| 10.318089
| 9.075576
| 9.274078
| 8.793995
| 8.393366
| 10.267208
| 8.544986
| 8.487613
| 8.528271
| 8.174155
| 8.256419
| 8.373059
| 8.464508
| 8.348115
| 7.979604
| 8.365688
| 8.165151
|
hep-th/9411044
|
Suzuki Takeshi
|
Takeshi Suzuki
|
Finite-Dimensionality of the Space of Conformal Blocks
|
9 pages, AMS-Tex Version 2.1
| null | null |
RIMS-996
|
hep-th
| null |
Without using Gabber's theorem, the finite-dimensionality of the space of
conformal blocks in the WZNW-models is proved.
|
[
{
"created": "Mon, 7 Nov 1994 12:04:48 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Dec 1994 07:28:23 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Suzuki",
"Takeshi",
""
]
] |
Without using Gabber's theorem, the finite-dimensionality of the space of conformal blocks in the WZNW-models is proved.
| 22.873154
| 12.732636
| 21.984087
| 17.447067
| 15.206437
| 15.947821
| 15.975324
| 12.410759
| 12.913306
| 17.070076
| 12.422876
| 12.376824
| 20.181814
| 13.18823
| 12.6554
| 12.634303
| 12.801975
| 12.478746
| 13.438928
| 19.187151
| 14.891685
|
hep-th/0112101
|
Takao Suyama
|
Takao Suyama
|
Charged Tachyons and Gauge Symmetry Breaking
|
19 pages, 2 figures
|
JHEP 0202 (2002) 033
|
10.1088/1126-6708/2002/02/033
|
KEK-TH-795
|
hep-th
| null |
We discuss the condensation of charged tachyons in the heterotic theory on
the Kaluza-Klein Melvin background. The arguments are based on duality
relations which are expected to hold from the adiabatic argument. It is argued
that in many cases the rank of the gauge group is not changed by the
condensation, as opposed to naive expectations.
|
[
{
"created": "Wed, 12 Dec 2001 05:04:32 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Suyama",
"Takao",
""
]
] |
We discuss the condensation of charged tachyons in the heterotic theory on the Kaluza-Klein Melvin background. The arguments are based on duality relations which are expected to hold from the adiabatic argument. It is argued that in many cases the rank of the gauge group is not changed by the condensation, as opposed to naive expectations.
| 10.334786
| 8.167777
| 10.188377
| 8.275097
| 7.637376
| 8.10461
| 7.842544
| 8.648287
| 8.154795
| 10.663081
| 8.235016
| 8.909093
| 10.252967
| 8.578277
| 9.256192
| 8.639042
| 8.344934
| 9.204649
| 8.739919
| 10.524255
| 8.729951
|
hep-th/0312245
|
Dileep Jatkar
|
Debashis Ghoshal, Dileep P. Jatkar and Maximilian Kreuzer
|
NS Fivebrane and Tachyon Condensation
|
20 pages, harvmac
|
J.Math.Phys. 46 (2005) 062301
|
10.1063/1.1922069
|
HRI-P/0312-001, TUW-03-39
|
hep-th
| null |
We argue that a semi-infinite D6-brane ending on an NS5-brane can be obtained
from the condensation of the tachyon on the unstable D9-brane of type IIA
theory. The construction uses a combination of the descriptions of these branes
as solitons of the worldvolume theory of the D9-brane. The NS5-brane, in
particular, involves a gauge bundle which is operator valued, and hence is
better thought of as a gerbe.
|
[
{
"created": "Fri, 19 Dec 2003 15:15:10 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Ghoshal",
"Debashis",
""
],
[
"Jatkar",
"Dileep P.",
""
],
[
"Kreuzer",
"Maximilian",
""
]
] |
We argue that a semi-infinite D6-brane ending on an NS5-brane can be obtained from the condensation of the tachyon on the unstable D9-brane of type IIA theory. The construction uses a combination of the descriptions of these branes as solitons of the worldvolume theory of the D9-brane. The NS5-brane, in particular, involves a gauge bundle which is operator valued, and hence is better thought of as a gerbe.
| 8.573742
| 7.444301
| 10.025152
| 7.342833
| 7.311465
| 7.300926
| 7.383467
| 7.660268
| 7.709002
| 10.682878
| 7.83381
| 7.50178
| 9.180842
| 8.045772
| 7.73946
| 7.652229
| 7.81756
| 7.80593
| 7.936466
| 9.051827
| 7.863352
|
2207.03055
|
Ali Kaya
|
Ali Kaya
|
Superhairs on the Branes of D =11 Supergravity
|
16 pages, dedicated to the memory of Rahmi G\"uven, v2: comments and
references added, to appear in Phy. Rev. D
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is shown that membrane and fivebrane of D=11 supergravity theory can
support nongauge, linearized spin-3/2 superhairs. Supercharges associated with
these fields are calculated. We also generalize the solutions to some
overlapping cases and discuss possible implications of their existence.
|
[
{
"created": "Thu, 7 Jul 2022 02:47:56 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Oct 2022 12:51:27 GMT",
"version": "v2"
}
] |
2022-10-20
|
[
[
"Kaya",
"Ali",
""
]
] |
It is shown that membrane and fivebrane of D=11 supergravity theory can support nongauge, linearized spin-3/2 superhairs. Supercharges associated with these fields are calculated. We also generalize the solutions to some overlapping cases and discuss possible implications of their existence.
| 29.36994
| 24.409437
| 23.557041
| 20.961584
| 22.176863
| 20.167727
| 25.484415
| 19.46969
| 20.625977
| 24.669882
| 20.593231
| 20.191086
| 22.277546
| 20.712599
| 21.681522
| 21.204269
| 20.547237
| 20.580091
| 20.305325
| 22.227409
| 19.330919
|
hep-th/0206072
|
Frederik Denef
|
Frederik Denef
|
Quantum Quivers and Hall/Hole Halos
|
39 pages, 10 figures. v2: minor errors corrected and some parts
rewritten for clarity. v3: references added
|
JHEP 0210:023,2002
|
10.1088/1126-6708/2002/10/023
| null |
hep-th
| null |
Two pictures of BPS bound states in Calabi-Yau compactifications of type II
string theory exist, one as a set of particles at equilibrium separations from
each other, the other as a fusion of D-branes at a single point of space. We
show how quiver quantum mechanics smoothly interpolates between the two, and
use this, together with recent mathematical results on the cohomology of quiver
varieties, to solve some nontrivial ground state counting problems in
multi-particle quantum mechanics, including one arising in the setup of the
spherical quantum Hall effect, and to count ground state degeneracies of
certain dyons in supersymmetric Yang-Mills theories. A crucial ingredient is a
non-renormalization theorem in N=4 quantum mechanics for the first order part
of the Lagrangian in an expansion in powers of velocity.
|
[
{
"created": "Sun, 9 Jun 2002 23:20:47 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Aug 2002 11:23:47 GMT",
"version": "v2"
},
{
"created": "Tue, 13 Aug 2002 19:04:22 GMT",
"version": "v3"
}
] |
2011-09-29
|
[
[
"Denef",
"Frederik",
""
]
] |
Two pictures of BPS bound states in Calabi-Yau compactifications of type II string theory exist, one as a set of particles at equilibrium separations from each other, the other as a fusion of D-branes at a single point of space. We show how quiver quantum mechanics smoothly interpolates between the two, and use this, together with recent mathematical results on the cohomology of quiver varieties, to solve some nontrivial ground state counting problems in multi-particle quantum mechanics, including one arising in the setup of the spherical quantum Hall effect, and to count ground state degeneracies of certain dyons in supersymmetric Yang-Mills theories. A crucial ingredient is a non-renormalization theorem in N=4 quantum mechanics for the first order part of the Lagrangian in an expansion in powers of velocity.
| 11.041717
| 10.796739
| 11.070292
| 9.796352
| 10.491708
| 9.736632
| 10.474026
| 9.971391
| 10.032708
| 11.853524
| 10.36652
| 9.617335
| 10.239934
| 9.450015
| 9.559439
| 10.053343
| 10.039245
| 9.408512
| 9.517494
| 9.927556
| 9.58165
|
2002.02317
|
Juraj Tekel
|
M\'aria \v{S}ubjakov\'a, Juraj Tekel
|
Second moment fuzzy-field-theory-like matrix models
|
21 pages, 3 figures; v2 - slight modifications, references added,
published version
|
J. High Energ. Phys. 2020, 88 (2020)
|
10.1007/JHEP06(2020)088
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We solve a multitrace matrix model approximating the real quartic scalar
field theory on the fuzzy sphere and obtain its phase diagram. We generalize
this method to models with modified kinetic terms and demonstrate its use by
investigating models related to the removal of the UV/IR mixing. We show that
for the fuzzy sphere a modification of the kinetic part of the action by higher
derivative term can change the phase diagram of the theory such that the triple
point moves further from the origin.
|
[
{
"created": "Thu, 6 Feb 2020 15:46:07 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Jun 2020 20:32:59 GMT",
"version": "v2"
}
] |
2020-06-24
|
[
[
"Šubjaková",
"Mária",
""
],
[
"Tekel",
"Juraj",
""
]
] |
We solve a multitrace matrix model approximating the real quartic scalar field theory on the fuzzy sphere and obtain its phase diagram. We generalize this method to models with modified kinetic terms and demonstrate its use by investigating models related to the removal of the UV/IR mixing. We show that for the fuzzy sphere a modification of the kinetic part of the action by higher derivative term can change the phase diagram of the theory such that the triple point moves further from the origin.
| 12.534273
| 9.553847
| 13.572191
| 10.540771
| 10.412421
| 10.783631
| 9.531174
| 10.475567
| 10.497796
| 14.131941
| 10.888387
| 11.151373
| 12.598147
| 11.446672
| 11.603876
| 11.754855
| 11.092576
| 11.799649
| 11.457384
| 12.319314
| 11.557092
|
hep-th/0311039
|
Jorgen Rasmussen
|
F. Lesage, P. Mathieu, J. Rasmussen, H. Saleur
|
Logarithmic lift of the su(2)_{-1/2} model
|
28 pages, 9 figures, v2: presentation modified, version to be
published
|
Nucl.Phys.B686:313-346,2004
|
10.1016/j.nuclphysb.2004.02.039
| null |
hep-th
| null |
This paper carries on the investigation of the non-unitary su(2)_{-1/2} WZW
model. An essential tool in our first work on this topic was a free-field
representation, based on a c=-2 \eta\xi ghost system, and a Lorentzian boson.
It turns out that there are several ``versions'' of the \eta\xi system,
allowing different su(2)_{-1/2} theories. This is explored here in details. In
more technical terms, we consider extensions (in the c=-2 language) from the
small to the large algebra representation and, in a further step, to the full
symplectic fermion theory. In each case, the results are expressed in terms of
su(2)_{-1/2} representations. At the first new layer (large algebra),
continuous representations appear which are interpreted in terms of relaxed
modules. At the second step (symplectic formulation), we recover a logarithmic
theory with its characteristic signature, the occurrence of indecomposable
representations. To determine whether any of these three versions of the
su(2)_{-1/2} WZW is well-defined, one conventionally requires the construction
of a modular invariant. This issue, however, is plagued with various
difficulties, as we discuss.
|
[
{
"created": "Wed, 5 Nov 2003 17:54:14 GMT",
"version": "v1"
},
{
"created": "Sun, 23 May 2004 01:39:17 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Lesage",
"F.",
""
],
[
"Mathieu",
"P.",
""
],
[
"Rasmussen",
"J.",
""
],
[
"Saleur",
"H.",
""
]
] |
This paper carries on the investigation of the non-unitary su(2)_{-1/2} WZW model. An essential tool in our first work on this topic was a free-field representation, based on a c=-2 \eta\xi ghost system, and a Lorentzian boson. It turns out that there are several ``versions'' of the \eta\xi system, allowing different su(2)_{-1/2} theories. This is explored here in details. In more technical terms, we consider extensions (in the c=-2 language) from the small to the large algebra representation and, in a further step, to the full symplectic fermion theory. In each case, the results are expressed in terms of su(2)_{-1/2} representations. At the first new layer (large algebra), continuous representations appear which are interpreted in terms of relaxed modules. At the second step (symplectic formulation), we recover a logarithmic theory with its characteristic signature, the occurrence of indecomposable representations. To determine whether any of these three versions of the su(2)_{-1/2} WZW is well-defined, one conventionally requires the construction of a modular invariant. This issue, however, is plagued with various difficulties, as we discuss.
| 10.833893
| 10.744871
| 12.943375
| 10.636316
| 10.756351
| 11.02858
| 10.892076
| 10.754745
| 10.647374
| 13.174356
| 10.270445
| 10.392406
| 11.15574
| 10.403498
| 10.475347
| 10.629361
| 10.363935
| 10.460374
| 10.465571
| 11.54585
| 10.414318
|
0708.3656
|
Ramond
|
Pierre Ramond
|
Memoirs of an Early String Theorist
|
Contribution to the "Birth of String Theory" Commemorative Volume
| null | null |
UFIFT-HEP-07-12
|
hep-th
| null |
I worked on String Theory over a period of five years during the First String
Era, the most intellectually satisfying years of my scientific life. One of the
early prospectors in the String Theory Mine, I was fortunate enough to
contribute to the birth of this subject, which retains after these many years,
its magical hold on our imaginations and expectations.
|
[
{
"created": "Mon, 27 Aug 2007 17:51:07 GMT",
"version": "v1"
}
] |
2007-08-28
|
[
[
"Ramond",
"Pierre",
""
]
] |
I worked on String Theory over a period of five years during the First String Era, the most intellectually satisfying years of my scientific life. One of the early prospectors in the String Theory Mine, I was fortunate enough to contribute to the birth of this subject, which retains after these many years, its magical hold on our imaginations and expectations.
| 20.08198
| 20.462658
| 23.726772
| 20.713661
| 21.608862
| 20.477104
| 21.571142
| 21.763334
| 21.955175
| 20.974737
| 21.092707
| 20.328085
| 20.009501
| 21.249994
| 20.537643
| 20.785151
| 19.720026
| 20.569933
| 20.107323
| 20.778273
| 19.902197
|
1307.0809
|
Tatsuo Azeyanagi
|
Tatsuo Azeyanagi, Masanori Hanada, Masazumi Honda, Yoshinori Matsuo
and Shotaro Shiba
|
A new look at instantons and large-N limit
|
10 pages
| null |
10.1007/JHEP05(2014)008
|
YITP-13-50, KEK-TH-1638
|
hep-th hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyze instantons in the very strongly coupled large-$N$ limit
($N\to\infty$ with $g^2$ fixed) of large-$N$ gauge theories, where the effect
of the instantons remains finite. By using the exact partition function of
four-dimensional ${\cal N}=2^*$ gauge theories as a concrete example, we
demonstrate that each instanton sector in the very strongly coupled large-$N$
limit is related to the one in the 't Hooft limit ($N\to\infty$ with $g^2N$
fixed) through a simple analytic continuation. Furthermore we show the
equivalence between the instanton partition functions of a pair of large-$N$
gauge theories related by an orbifold projection. This can open up a new way to
analyze the partition functions of low/non-supersymmetric theories. We also
discuss implication of our result to gauge/gravity dualities for M-theory as
well as a possible application to large-$N$ QCD.
|
[
{
"created": "Tue, 2 Jul 2013 19:56:06 GMT",
"version": "v1"
}
] |
2015-06-16
|
[
[
"Azeyanagi",
"Tatsuo",
""
],
[
"Hanada",
"Masanori",
""
],
[
"Honda",
"Masazumi",
""
],
[
"Matsuo",
"Yoshinori",
""
],
[
"Shiba",
"Shotaro",
""
]
] |
We analyze instantons in the very strongly coupled large-$N$ limit ($N\to\infty$ with $g^2$ fixed) of large-$N$ gauge theories, where the effect of the instantons remains finite. By using the exact partition function of four-dimensional ${\cal N}=2^*$ gauge theories as a concrete example, we demonstrate that each instanton sector in the very strongly coupled large-$N$ limit is related to the one in the 't Hooft limit ($N\to\infty$ with $g^2N$ fixed) through a simple analytic continuation. Furthermore we show the equivalence between the instanton partition functions of a pair of large-$N$ gauge theories related by an orbifold projection. This can open up a new way to analyze the partition functions of low/non-supersymmetric theories. We also discuss implication of our result to gauge/gravity dualities for M-theory as well as a possible application to large-$N$ QCD.
| 5.753551
| 5.781787
| 6.312654
| 5.460911
| 5.498826
| 5.428056
| 5.39302
| 5.464659
| 5.219595
| 6.705538
| 5.562437
| 5.609082
| 5.851577
| 5.607416
| 5.377811
| 5.375507
| 5.516316
| 5.521812
| 5.574194
| 5.929399
| 5.326266
|
hep-th/9801037
| null |
Rika Endo, Rie Kuriki, Shin'ichi Nojiri, and Akio Sugamoto
|
A Rule of Thumb Derivation of Born-Infeld Action for D-branes
|
9 pages, Latex, minor corrections
|
Mod.Phys.Lett. A13 (1998) 1309-1318
|
10.1142/S0217732398001364
|
OCHA-PP-107, NDA-FP-43
|
hep-th
| null |
A rule of thumb derivation of the Dirac-Born-Infeld action for D-branes is
studied \`a la Fradkin and Tseytlin, by simply integrating out of the
superstring coordinates in a narrow strip attached to the D-branes. In case of
superstrings, the coupling of Ramond-Ramond fields as well as the
Dirac-Born-Infeld type coupling of the Neveu Schwarz-Neveu Schwarz fields come
out in this way.
|
[
{
"created": "Thu, 8 Jan 1998 05:57:25 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Jan 1998 06:32:19 GMT",
"version": "v2"
},
{
"created": "Mon, 19 Apr 1999 04:59:31 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Endo",
"Rika",
""
],
[
"Kuriki",
"Rie",
""
],
[
"Nojiri",
"Shin'ichi",
""
],
[
"Sugamoto",
"Akio",
""
]
] |
A rule of thumb derivation of the Dirac-Born-Infeld action for D-branes is studied \`a la Fradkin and Tseytlin, by simply integrating out of the superstring coordinates in a narrow strip attached to the D-branes. In case of superstrings, the coupling of Ramond-Ramond fields as well as the Dirac-Born-Infeld type coupling of the Neveu Schwarz-Neveu Schwarz fields come out in this way.
| 9.063178
| 8.340213
| 9.77427
| 8.15505
| 9.953654
| 8.339998
| 8.4862
| 8.203502
| 8.155147
| 11.539804
| 8.316699
| 8.003917
| 8.937689
| 8.320487
| 8.401834
| 8.152412
| 8.169032
| 8.196663
| 8.481689
| 9.190544
| 7.949067
|
hep-th/0403152
|
Ivan K. Kostov
|
V. Kazakov and I. Kostov
|
Instantons in Non-Critical strings from the Two-Matrix Model
|
References and figures added, improved presentation
| null |
10.1142/9789812775344_0045
|
SPhT-04/026, LPTENS-04/10
|
hep-th
| null |
We derive the non-perturbative corrections to the free energy of the
two-matrix model in terms of its algebraic curve. The eigenvalue instantons are
associated with the vanishing cycles of the curve. For the (p,q) critical
points our results agree with the geometrical interpretation of the instanton
effects recently discovered in the CFT approach. The form of the instanton
corrections implies that the linear relation between the FZZT and ZZ disc
amplitudes is a general property of the 2D string theory and holds for any
classical background. We find that the agreement with the CFT results holds in
presence of infinitesimal perturbations by order operators and observe that the
ambiguity in the interpretation of the eigenvalue instantons as ZZ-branes (four
different choices for the matter and Liouville boundary conditions lead to the
same result) is not lifted by the perturbations. We find similar results to the
c=1 string theory in presence of tachyon perturbations.
|
[
{
"created": "Mon, 15 Mar 2004 14:16:04 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Mar 2004 19:21:54 GMT",
"version": "v2"
},
{
"created": "Fri, 14 May 2004 19:06:08 GMT",
"version": "v3"
}
] |
2016-11-23
|
[
[
"Kazakov",
"V.",
""
],
[
"Kostov",
"I.",
""
]
] |
We derive the non-perturbative corrections to the free energy of the two-matrix model in terms of its algebraic curve. The eigenvalue instantons are associated with the vanishing cycles of the curve. For the (p,q) critical points our results agree with the geometrical interpretation of the instanton effects recently discovered in the CFT approach. The form of the instanton corrections implies that the linear relation between the FZZT and ZZ disc amplitudes is a general property of the 2D string theory and holds for any classical background. We find that the agreement with the CFT results holds in presence of infinitesimal perturbations by order operators and observe that the ambiguity in the interpretation of the eigenvalue instantons as ZZ-branes (four different choices for the matter and Liouville boundary conditions lead to the same result) is not lifted by the perturbations. We find similar results to the c=1 string theory in presence of tachyon perturbations.
| 10.075205
| 9.408212
| 12.057343
| 9.291099
| 9.419465
| 9.144047
| 8.704554
| 9.140553
| 9.079308
| 12.550498
| 9.101138
| 9.365841
| 11.349933
| 9.522159
| 9.482133
| 9.34723
| 9.150727
| 9.199644
| 9.333354
| 11.621509
| 9.288961
|
2404.11600
|
Roman Mauch
|
Roman Mauch and Lorenzo Ruggeri
|
Super Yang-Mills on Branched Covers and Weighted Projective Spaces
|
22 pages; 9 figures
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
In this work we conjecture the Coulomb branch partition function, including
flux and instanton contributions, for the $\mathcal{N}=2$ vector multiplet on
weighted projective space $\mathbb{CP}^2_{\boldsymbol{N}}$ for equivariant
Donaldson-Witten and ``Pestun-like'' theories. More precisely, we claim that
this partition function agrees with the one computed on a certain branched
cover of $\mathbb{CP}^2$ upon matching conical deficit angles with
corresponding branch indices. Our conjecture is substantiated by checking that
similar partition functions on spindles agree with their equivalent on certain
branched covers of $\mathbb{CP}^1$. We compute the one-loop determinant on the
branched cover of $\mathbb{CP}^2$ for all flux sectors via dimensional
reduction from the $\mathcal{N}=1$ vector multiplet on a branched five-sphere
along a free $S^1$-action. This work paves the way for obtaining partition
functions on more generic symplectic toric orbifolds.
|
[
{
"created": "Wed, 17 Apr 2024 17:50:31 GMT",
"version": "v1"
}
] |
2024-04-18
|
[
[
"Mauch",
"Roman",
""
],
[
"Ruggeri",
"Lorenzo",
""
]
] |
In this work we conjecture the Coulomb branch partition function, including flux and instanton contributions, for the $\mathcal{N}=2$ vector multiplet on weighted projective space $\mathbb{CP}^2_{\boldsymbol{N}}$ for equivariant Donaldson-Witten and ``Pestun-like'' theories. More precisely, we claim that this partition function agrees with the one computed on a certain branched cover of $\mathbb{CP}^2$ upon matching conical deficit angles with corresponding branch indices. Our conjecture is substantiated by checking that similar partition functions on spindles agree with their equivalent on certain branched covers of $\mathbb{CP}^1$. We compute the one-loop determinant on the branched cover of $\mathbb{CP}^2$ for all flux sectors via dimensional reduction from the $\mathcal{N}=1$ vector multiplet on a branched five-sphere along a free $S^1$-action. This work paves the way for obtaining partition functions on more generic symplectic toric orbifolds.
| 8.10413
| 8.671521
| 8.806614
| 7.941378
| 8.585346
| 8.311523
| 8.493738
| 8.288493
| 8.617744
| 9.809966
| 8.272967
| 8.08862
| 7.705533
| 7.597693
| 8.142035
| 8.244399
| 7.909616
| 7.644169
| 7.986559
| 8.028062
| 7.809964
|
hep-th/0512338
|
Patricio Gaete
|
Patricio Gaete and Clovis Wotzasek
|
Physical and mathematical evidences for a negative-rank tensor
|
7 pages
|
Phys.Lett.B634:545-551,2006
|
10.1016/j.physletb.2006.02.027
|
USM-TH-178
|
hep-th
| null |
We propose and study the properties of a new potential demanded by the
self-consistency of the duality scheme in electromagnetic-like field theories
of totally anti-symmetric tensors in diverse dimensions. Physical implications
of this new potential is manifest under the presence of scalar condensates in
the Julia-Toulouse mechanism for the nucleation of topological defects with
consequences for the confinement phenomenon.
|
[
{
"created": "Thu, 29 Dec 2005 14:00:07 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Gaete",
"Patricio",
""
],
[
"Wotzasek",
"Clovis",
""
]
] |
We propose and study the properties of a new potential demanded by the self-consistency of the duality scheme in electromagnetic-like field theories of totally anti-symmetric tensors in diverse dimensions. Physical implications of this new potential is manifest under the presence of scalar condensates in the Julia-Toulouse mechanism for the nucleation of topological defects with consequences for the confinement phenomenon.
| 25.972336
| 25.650972
| 24.692465
| 25.355804
| 24.196102
| 24.418962
| 24.538469
| 23.238039
| 23.496929
| 24.151875
| 23.72937
| 23.772179
| 24.668959
| 23.308231
| 23.183365
| 25.562832
| 23.733187
| 24.58741
| 23.969019
| 24.761724
| 24.735651
|
1012.2069
|
Evgeny Ivanov
|
E.A. Ivanov, A.V. Smilga
|
Dirac Operator on Complex Manifolds and Supersymmetric Quantum Mechanics
|
0 + 30 pages, essential revision, new comments and refs. added, typos
corrected, published version
|
IJMP A 27 (2012) 1230024 (30 pages)
|
10.1142/S0217751X12300244
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explore a new simple N=2 SQM model describing the motion over complex
manifolds in external gauge fields. The nilpotent supercharge Q of the model
can be interpreted as a (twisted) exterior holomorphic derivative, such that
the model realizes the twisted Dolbeault complex. The sum Q + \bar Q can be
interpreted as the Dirac operator: the standard Dirac operator if the manifold
is K\"ahler and a certain "truncated" Dirac operator for a generic complex
manifold. Focusing on the K\"ahler case, we give new simple physical proofs of
the two mathematical facts: (i) the equivalence of the twisted Dirac and
twisted Dolbeault complexes and (ii) the Atiyah-Singer theorem.
|
[
{
"created": "Thu, 9 Dec 2010 18:29:50 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Oct 2012 15:06:59 GMT",
"version": "v2"
}
] |
2012-10-17
|
[
[
"Ivanov",
"E. A.",
""
],
[
"Smilga",
"A. V.",
""
]
] |
We explore a new simple N=2 SQM model describing the motion over complex manifolds in external gauge fields. The nilpotent supercharge Q of the model can be interpreted as a (twisted) exterior holomorphic derivative, such that the model realizes the twisted Dolbeault complex. The sum Q + \bar Q can be interpreted as the Dirac operator: the standard Dirac operator if the manifold is K\"ahler and a certain "truncated" Dirac operator for a generic complex manifold. Focusing on the K\"ahler case, we give new simple physical proofs of the two mathematical facts: (i) the equivalence of the twisted Dirac and twisted Dolbeault complexes and (ii) the Atiyah-Singer theorem.
| 8.542609
| 7.777528
| 9.139677
| 7.73653
| 7.913656
| 7.598912
| 7.798948
| 7.463484
| 7.855628
| 9.777144
| 7.183235
| 8.019513
| 8.44227
| 7.908694
| 7.431305
| 7.912747
| 7.661205
| 7.769196
| 7.793066
| 8.439952
| 7.524802
|
hep-th/9806210
|
Christoph Adam
|
Christoph Adam
|
Theta vacuum in different gauges
|
Latex file, 12 pages
|
Mod.Phys.Lett. A14 (1999) 185-198
|
10.1142/S0217732399000225
| null |
hep-th
| null |
In some recent papers it is claimed that the physical significance of the
vacuum angle theta for QCD-like theories depends on the chosen gauge condition.
We criticise the arguments that were given in support of this claim, and show
by explicit construction for the case of QED$_2$ that and why they fail,
confirming thereby the commonly accepted point of view.
|
[
{
"created": "Thu, 25 Jun 1998 18:13:03 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Adam",
"Christoph",
""
]
] |
In some recent papers it is claimed that the physical significance of the vacuum angle theta for QCD-like theories depends on the chosen gauge condition. We criticise the arguments that were given in support of this claim, and show by explicit construction for the case of QED$_2$ that and why they fail, confirming thereby the commonly accepted point of view.
| 13.787171
| 13.004981
| 12.307768
| 11.229838
| 13.772409
| 12.405269
| 11.71424
| 12.11204
| 11.671956
| 12.44944
| 12.35009
| 11.400373
| 11.951042
| 11.858811
| 12.502367
| 12.729243
| 11.812035
| 12.044722
| 11.751257
| 11.890474
| 12.02232
|
1205.6257
|
Igor Kondrashuk
|
Pedro Allendes, Bernd Kniehl, Igor Kondrashuk, Eduardo A. Notte
Cuello, Marko Rojas Medar
|
Solution to Bethe-Salpeter equation via Mellin-Barnes transform
|
33 pages, 9 figures, revised version, all the factors and symbols of
integration are written explcitly, symbols of proportionality are removed,
section 2 is extended, section 6.3 is shortened
| null |
10.1016/j.nuclphysb.2013.01.012
|
DESY-12-087
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider Mellin-Barnes transform of triangle ladder-like scalar diagram in
d=4 dimensions. It is shown how the multi-fold MB transform of the momentum
integral corresponding to an arbitrary number of rungs is reduced to the
two-fold MB transform. For this purpose we use Belokurov-Usyukina reduction
method for four-dimensional scalar integrals in the position space. The result
is represented in terms of Euler psi-function and its derivatives. We derive
new formulas for the MB two-fold integration in complex planes of two complex
variables. We demonstrate that these formulas solve Bethe-Salpeter equation. We
comment on further applications of the solution to the Bethe-Salpeter equation
for the vertices in N=4 supersymmetric Yang-Mills theory. We show that the
recursive property of the MB transforms observed in the present work for that
kind of diagrams has nothing to do with quantum field theory, theory of
integral transforms, or with theory of polylogarithms in general, but has an
origin in a simple recursive property for smooth functions which can be shown
by using basic methods of mathematical analysis.
|
[
{
"created": "Tue, 29 May 2012 04:11:20 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Oct 2012 12:31:12 GMT",
"version": "v2"
}
] |
2015-06-05
|
[
[
"Allendes",
"Pedro",
""
],
[
"Kniehl",
"Bernd",
""
],
[
"Kondrashuk",
"Igor",
""
],
[
"Cuello",
"Eduardo A. Notte",
""
],
[
"Medar",
"Marko Rojas",
""
]
] |
We consider Mellin-Barnes transform of triangle ladder-like scalar diagram in d=4 dimensions. It is shown how the multi-fold MB transform of the momentum integral corresponding to an arbitrary number of rungs is reduced to the two-fold MB transform. For this purpose we use Belokurov-Usyukina reduction method for four-dimensional scalar integrals in the position space. The result is represented in terms of Euler psi-function and its derivatives. We derive new formulas for the MB two-fold integration in complex planes of two complex variables. We demonstrate that these formulas solve Bethe-Salpeter equation. We comment on further applications of the solution to the Bethe-Salpeter equation for the vertices in N=4 supersymmetric Yang-Mills theory. We show that the recursive property of the MB transforms observed in the present work for that kind of diagrams has nothing to do with quantum field theory, theory of integral transforms, or with theory of polylogarithms in general, but has an origin in a simple recursive property for smooth functions which can be shown by using basic methods of mathematical analysis.
| 11.103821
| 11.493115
| 11.737917
| 10.840213
| 11.696304
| 11.32365
| 11.883695
| 10.991937
| 10.954871
| 13.04915
| 11.244174
| 11.191597
| 10.687508
| 10.503675
| 10.680326
| 10.840639
| 10.753451
| 10.919814
| 10.733531
| 10.661592
| 10.523529
|
1504.05922
|
Pramod Padmanabhan Mr.
|
Miguel Jorge Bernabe Ferreira, Pramod Padmanabhan and Paulo
Teotonio-Sobrinho
|
Toric code-like models from the parameter space of $3D$ lattice gauge
theories
|
12 pages, 7 figures. This paper is an extension of the one
http://arxiv.org/abs/1310.8483. Slightly modified to make it more
self-contained
| null | null | null |
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A state sum construction on closed manifolds \'{a} la Kuperberg can be used
to construct the partition functions of $3D$ lattice gauge theories based on
involutory Hopf algebras, $\mathcal{A}$, of which the group algebras,
$\mathbb{C}G$, are a particular case. Transfer matrices can be obtained by
carrying out this construction on a manifold with boundary. Various
Hamiltonians of physical interest can be obtained from these transfer matrices
by playing around with the parameters the transfer matrix is a function of. The
$2D$ quantum double Hamiltonians of Kitaev can be obtained from such transfer
matrices for specific values of these parameters. A initial study of such
models has been carried out in \cite{p1}. In this paper we study other regions
of this parameter space to obtain some new and known models. The new model
comprise of Hamiltonians which "partially" confine the excitations of the
quantum double Hamiltonians which are usually deconfined. The state sum
construction allows for parameters depending on the position in obtaining the
transfer matrices and thus it is natural to expect disordered Hamiltonians from
them. Thus one set of known models consist of the disordered quantum double
Hamiltonians. Finally we obtain quantum double Hamiltonians perturbed by
magnetic fields which have been considered earlier in the literature to study
the stability of topological order to perturbations.
|
[
{
"created": "Wed, 22 Apr 2015 18:53:11 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Dec 2015 22:24:58 GMT",
"version": "v2"
}
] |
2015-12-14
|
[
[
"Ferreira",
"Miguel Jorge Bernabe",
""
],
[
"Padmanabhan",
"Pramod",
""
],
[
"Teotonio-Sobrinho",
"Paulo",
""
]
] |
A state sum construction on closed manifolds \'{a} la Kuperberg can be used to construct the partition functions of $3D$ lattice gauge theories based on involutory Hopf algebras, $\mathcal{A}$, of which the group algebras, $\mathbb{C}G$, are a particular case. Transfer matrices can be obtained by carrying out this construction on a manifold with boundary. Various Hamiltonians of physical interest can be obtained from these transfer matrices by playing around with the parameters the transfer matrix is a function of. The $2D$ quantum double Hamiltonians of Kitaev can be obtained from such transfer matrices for specific values of these parameters. A initial study of such models has been carried out in \cite{p1}. In this paper we study other regions of this parameter space to obtain some new and known models. The new model comprise of Hamiltonians which "partially" confine the excitations of the quantum double Hamiltonians which are usually deconfined. The state sum construction allows for parameters depending on the position in obtaining the transfer matrices and thus it is natural to expect disordered Hamiltonians from them. Thus one set of known models consist of the disordered quantum double Hamiltonians. Finally we obtain quantum double Hamiltonians perturbed by magnetic fields which have been considered earlier in the literature to study the stability of topological order to perturbations.
| 9.202297
| 10.674658
| 10.348436
| 9.89981
| 10.01929
| 9.794107
| 10.080082
| 10.124663
| 9.46707
| 11.917209
| 9.475554
| 9.211139
| 9.616565
| 9.117395
| 9.055573
| 9.325071
| 9.275515
| 9.306946
| 9.314381
| 9.518795
| 9.025704
|
hep-th/0102189
|
Richard Wittman
|
Richard S. Wittman
|
Pedagogical Reflections on Color Confinement in Chromostatics
|
8 pages
| null | null | null |
hep-th
| null |
Abelian and nonabelian gauge invariant states are directly compared to
revisit how the unconfined abelian theory is expressed. It is argued that the
Yang-Mills equations have no obvious physical content apart from their relation
to underlying physical states. The main observation is that the physical states
of electrostatics can be regarded as point charges connected by a uniform
superposition of all possible Faraday lines. These states are gauge invariant
only in the abelian case.
|
[
{
"created": "Tue, 27 Feb 2001 09:20:04 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Wittman",
"Richard S.",
""
]
] |
Abelian and nonabelian gauge invariant states are directly compared to revisit how the unconfined abelian theory is expressed. It is argued that the Yang-Mills equations have no obvious physical content apart from their relation to underlying physical states. The main observation is that the physical states of electrostatics can be regarded as point charges connected by a uniform superposition of all possible Faraday lines. These states are gauge invariant only in the abelian case.
| 18.593954
| 20.304293
| 17.384449
| 18.766039
| 20.108732
| 19.476725
| 20.513445
| 20.212225
| 18.32613
| 20.433704
| 17.536007
| 16.798952
| 17.312904
| 16.758261
| 17.005972
| 17.498926
| 17.071913
| 16.462091
| 17.262524
| 16.316673
| 17.492767
|
hep-th/9307098
|
R. Sollacher
|
R. Sollacher
|
Collective Coordinate Quantization: Relativistic and Gauge Symmetric
Aspects
|
LaTex, 27 pages, GSI-93-56
| null | null | null |
hep-th hep-ph
| null |
The introduction and quantization of a center-of-mass coordinate is
demonstrated for the one-soliton sector of nonlinear field theories in (1+1)
dimensions. The present approach strongly emphazises the gauge and
BRST-symmetry aspects of collective coordinate quantization. A gauge is
presented which is independent of any approximation scheme and which allows to
interpret the new degree of freedom as the {\em quantized} center of mass
coordinate of a soliton. Lorentz invariance is used from the beginning to
introduce fluctuations of the collective coordinate in the {\em rest frame} of
the {\em moving} soliton. It turns out that due to the extended nature of the
soliton retardation effects lead to differences in the quantum mechanics of the
soliton as compared to a point-like particle. Finally, the results of the
semiclassical expansion are used to analyse effective soliton-meson vertices
and the coupling to an external source. Such a coupling in general causes
acceleration as well as internal excitation of the soliton.
|
[
{
"created": "Thu, 15 Jul 1993 08:59:52 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Sollacher",
"R.",
""
]
] |
The introduction and quantization of a center-of-mass coordinate is demonstrated for the one-soliton sector of nonlinear field theories in (1+1) dimensions. The present approach strongly emphazises the gauge and BRST-symmetry aspects of collective coordinate quantization. A gauge is presented which is independent of any approximation scheme and which allows to interpret the new degree of freedom as the {\em quantized} center of mass coordinate of a soliton. Lorentz invariance is used from the beginning to introduce fluctuations of the collective coordinate in the {\em rest frame} of the {\em moving} soliton. It turns out that due to the extended nature of the soliton retardation effects lead to differences in the quantum mechanics of the soliton as compared to a point-like particle. Finally, the results of the semiclassical expansion are used to analyse effective soliton-meson vertices and the coupling to an external source. Such a coupling in general causes acceleration as well as internal excitation of the soliton.
| 11.317248
| 11.6758
| 10.974949
| 10.794567
| 11.449347
| 11.246901
| 10.90099
| 10.612987
| 11.17078
| 10.857041
| 11.028154
| 10.946915
| 10.522421
| 10.620953
| 10.783405
| 11.002823
| 10.591638
| 10.585613
| 10.607188
| 10.382192
| 10.721461
|
hep-th/9603187
| null |
Dmitri Sorokin and Francesco Toppan
|
Hamiltonian Reduction of Supersymmetric WZNW Models on Bosonic Groups
and Superstrings
|
LaTeX file, 32 pages, final version to appear in Nucl. Phys. B
|
Nucl.Phys. B480 (1996) 457-484
|
10.1016/S0550-3213(96)00499-3
|
DFPD 96/TH/15
|
hep-th
| null |
It is shown that an alternative supersymmetric version of the Liouville
equation extracted from D=3 Green-Schwarz superstring equations naturally
arises as a super-Toda model obtained from a properly constrained
supersymmetric WZNW theory based on the $sl(2, R)$ algebra. Hamiltonian
reduction is performed by imposing a nonlinear superfield constraint which
turns out to be a mixture of a first- and second-class constraint on
supercurrent components. Supersymmetry of the model is realized nonlinearly and
is spontaneously broken. The set of independent current fields which survive
the Hamiltonian reduction contains (in the holomorphic sector) one bosonic
current of spin 2 (the stress--tensor of the spin 0 Liouville mode) and two
fermionic fields of spin ${3/2}$ and $-1/2$. The $n=1$ superconformal system
thus obtained is of the same kind as one describing noncritical fermionic
strings in a universal string theory. The generalization of this procedure
allows one to produce from any bosonic Lie algebra super--Toda models and
associated super-W algebras together with their nonstandard realizations.
|
[
{
"created": "Thu, 28 Mar 1996 14:49:57 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Apr 1996 10:46:56 GMT",
"version": "v2"
},
{
"created": "Mon, 22 Jul 1996 13:44:28 GMT",
"version": "v3"
},
{
"created": "Fri, 13 Sep 1996 11:21:30 GMT",
"version": "v4"
}
] |
2016-09-06
|
[
[
"Sorokin",
"Dmitri",
""
],
[
"Toppan",
"Francesco",
""
]
] |
It is shown that an alternative supersymmetric version of the Liouville equation extracted from D=3 Green-Schwarz superstring equations naturally arises as a super-Toda model obtained from a properly constrained supersymmetric WZNW theory based on the $sl(2, R)$ algebra. Hamiltonian reduction is performed by imposing a nonlinear superfield constraint which turns out to be a mixture of a first- and second-class constraint on supercurrent components. Supersymmetry of the model is realized nonlinearly and is spontaneously broken. The set of independent current fields which survive the Hamiltonian reduction contains (in the holomorphic sector) one bosonic current of spin 2 (the stress--tensor of the spin 0 Liouville mode) and two fermionic fields of spin ${3/2}$ and $-1/2$. The $n=1$ superconformal system thus obtained is of the same kind as one describing noncritical fermionic strings in a universal string theory. The generalization of this procedure allows one to produce from any bosonic Lie algebra super--Toda models and associated super-W algebras together with their nonstandard realizations.
| 11.17625
| 12.941123
| 13.064151
| 10.763147
| 11.626349
| 12.533588
| 11.733423
| 11.624509
| 10.709724
| 14.007357
| 11.166045
| 11.074976
| 11.980247
| 10.886103
| 10.924823
| 11.305506
| 11.434161
| 11.168192
| 10.71046
| 11.604209
| 10.988533
|
2308.05093
|
Saurabh Gupta
|
Ansha S Nair, Saurabh Gupta
|
On the Quantization of FLPR Model
|
17 pages, No figures, Dedicated to the memory of Prof. G. Rajasekaran
(Rajaji), who was an excellent teacher, a great leader and an inspiring
mentor
|
Mod. Phys. Lett. A 39 (2024) 02, 2350186
|
10.1142/S0217732323501869
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We quantize the Friedberg-Lee-Pang-Ren (FLPR) model, using an admissible
gauge condition, within the framework of modified Faddeev-Jackiw formalism.
Further, we deduce the gauge symmetries and establish off-shell nilpotent and
absolutely anti-commuting (anti-)BRST symmetries. We also show that the
physical states of the theory are annihilated by the first class constraints
which is consistent \textit{\`{a} la} Dirac formalism.
|
[
{
"created": "Wed, 9 Aug 2023 17:44:47 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Feb 2024 09:22:22 GMT",
"version": "v2"
}
] |
2024-02-29
|
[
[
"Nair",
"Ansha S",
""
],
[
"Gupta",
"Saurabh",
""
]
] |
We quantize the Friedberg-Lee-Pang-Ren (FLPR) model, using an admissible gauge condition, within the framework of modified Faddeev-Jackiw formalism. Further, we deduce the gauge symmetries and establish off-shell nilpotent and absolutely anti-commuting (anti-)BRST symmetries. We also show that the physical states of the theory are annihilated by the first class constraints which is consistent \textit{\`{a} la} Dirac formalism.
| 9.166032
| 5.978919
| 8.69765
| 6.726118
| 6.654811
| 5.853194
| 6.163218
| 5.423311
| 5.810351
| 7.859971
| 6.687306
| 7.237962
| 7.763063
| 8.030718
| 7.239655
| 7.581072
| 7.366709
| 7.430664
| 7.001113
| 8.10345
| 7.529299
|
1610.06078
|
Tomas Andrade
|
Tomas Andrade, Elena Caceres and Cynthia Keeler
|
Boundary Causality vs Hyperbolicity for Spherical Black Holes in
Gauss-Bonnet
|
17 pages, 6 figures
| null |
10.1088/1361-6382/aa7101
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explore the constraints boundary causality places on the allowable
Gauss-Bonnet gravitational couplings in asymptotically AdS spaces, specifically
considering spherical black hole solutions. We additionally consider the
hyperbolicity properties of these solutions, positing that
hyperbolicity-violating solutions are sick solutions whose causality properties
provide no information about the theory they reside in. For both signs of the
Gauss-Bonnet coupling, spherical black holes violate boundary causality at
smaller absolute values of the coupling than planar black holes do. For
negative coupling, as we tune the Gauss-Bonnet coupling away from zero, both
spherical and planar black holes violate hyperbolicity before they violate
boundary causality. For positive coupling, the only hyperbolicity-respecting
spherical black holes which violate boundary causality do not do so appreciably
far from the planar bound. Consequently, eliminating hyperbolicity-violating
solutions means the bound on Gauss-Bonnet couplings from the boundary causality
of spherical black holes is no tighter than that from planar black holes.
|
[
{
"created": "Wed, 19 Oct 2016 15:55:41 GMT",
"version": "v1"
}
] |
2017-06-21
|
[
[
"Andrade",
"Tomas",
""
],
[
"Caceres",
"Elena",
""
],
[
"Keeler",
"Cynthia",
""
]
] |
We explore the constraints boundary causality places on the allowable Gauss-Bonnet gravitational couplings in asymptotically AdS spaces, specifically considering spherical black hole solutions. We additionally consider the hyperbolicity properties of these solutions, positing that hyperbolicity-violating solutions are sick solutions whose causality properties provide no information about the theory they reside in. For both signs of the Gauss-Bonnet coupling, spherical black holes violate boundary causality at smaller absolute values of the coupling than planar black holes do. For negative coupling, as we tune the Gauss-Bonnet coupling away from zero, both spherical and planar black holes violate hyperbolicity before they violate boundary causality. For positive coupling, the only hyperbolicity-respecting spherical black holes which violate boundary causality do not do so appreciably far from the planar bound. Consequently, eliminating hyperbolicity-violating solutions means the bound on Gauss-Bonnet couplings from the boundary causality of spherical black holes is no tighter than that from planar black holes.
| 7.479628
| 8.641425
| 7.954332
| 7.801351
| 8.054005
| 7.518126
| 7.954952
| 7.678041
| 7.19587
| 8.676454
| 7.537521
| 7.749558
| 7.338028
| 7.426736
| 7.534219
| 7.585176
| 7.639496
| 7.787377
| 7.464834
| 7.677642
| 7.562764
|
hep-th/9907063
|
Minoru Hirayama
|
M. Hirayama (Toyama Univ.), M. Ueno (Toyama Univ.)
|
Non-Abelian Stokes Theorem for Wilson Loops Associated with General
Gauge Groups
|
11 pages, PTPTEX, corrected some typos
|
Prog.Theor.Phys.103:151-159,2000
|
10.1143/PTP.103.151
|
Toyama 102
|
hep-th
| null |
A formula constituting the non-Abelian Stokes theorem for general semi-simple
compact gauge groups is presented. The formula involves a path integral over a
group space and is applicable to Wilson loop variables irrespective of the
topology of loops. Some simple expressions analogous to the 't Hooft tensor of
a magnetic monopole are given for the 2-form of interest. A special property in
the case of the fundamental representation of the group SU(N) is pointed out.
|
[
{
"created": "Fri, 9 Jul 1999 08:15:56 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Dec 1999 07:52:55 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Hirayama",
"M.",
"",
"Toyama Univ."
],
[
"Ueno",
"M.",
"",
"Toyama Univ."
]
] |
A formula constituting the non-Abelian Stokes theorem for general semi-simple compact gauge groups is presented. The formula involves a path integral over a group space and is applicable to Wilson loop variables irrespective of the topology of loops. Some simple expressions analogous to the 't Hooft tensor of a magnetic monopole are given for the 2-form of interest. A special property in the case of the fundamental representation of the group SU(N) is pointed out.
| 12.401913
| 12.73897
| 13.267035
| 11.599314
| 12.511399
| 12.468157
| 12.547539
| 10.857059
| 11.914481
| 12.767589
| 11.396279
| 11.887923
| 11.866302
| 11.453079
| 11.91853
| 11.389174
| 11.787416
| 11.249156
| 11.902168
| 11.76579
| 11.592573
|
1810.08147
|
Dieter L\"ust
|
Sergio Ferrara, Alex Kehagias, Dieter Lust
|
Bimetric, Conformal Supergravity and its Superstring Embedding
|
33 pages, revised version with corrected typos and references added
| null |
10.1007/JHEP05(2019)100
|
CERN-TH-2018-222, MPP-2018-249, LMU-ASC 64/18
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss the connection between Weyl$^2$ supergravity and superstrings and
further discuss holography between 4-dimensional, ${\cal N}=4$ superconformal
Weyl$^2$ supergravity and ${\cal N}=8$, higher spin-four theory on $AdS_5$. The
Weyl$^2$ plus Einstein supergravity theory is a special kind of a bimetric
gravity theory and consists of a massless graviton multiplet plus an additional
massive spin-two supermultiplet. Here, we argue that the additional spin-two
field and its superpartners originate from massive excitations in the open
string sector; just like the ${\cal N}=4$ super Yang-Mills gauge fields, they
are localized on the world volume of D3-branes. The ghost structure of the Weyl
action should be considered as an artifact of the truncation of the infinitely
many higher derivative terms underlying the massive spin 2 action. In field
theory, ${\cal N}=4$ Weyl$^2$ supergravity exhibits superconformal invariance
in the limit of vanishing Planck mass. In string theory the additional spin-two
fields become massless in the tensionless limit. Therefore low string scale
scenarios with large extra dimensions provide (almost) superconformal field
theories with almost massless open string spin-two fields. The full ${\cal
N}=4$ scalar potential including the Yang-Mills matter multiplets is presented
and the supersymmetric vacua of Einstein Supergravity are shown, as expected,
to be vacua of massive Weyl supergravity. Other vacua are expected to exist
which are not vacua of Einstein supergravity. Finally, we identify certain
spin-four operators on the 4-dimensional boundary theory that could be the
holographic duals of spin-four fields in the bulk.
|
[
{
"created": "Thu, 18 Oct 2018 16:41:05 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Nov 2018 16:40:16 GMT",
"version": "v2"
}
] |
2019-06-26
|
[
[
"Ferrara",
"Sergio",
""
],
[
"Kehagias",
"Alex",
""
],
[
"Lust",
"Dieter",
""
]
] |
We discuss the connection between Weyl$^2$ supergravity and superstrings and further discuss holography between 4-dimensional, ${\cal N}=4$ superconformal Weyl$^2$ supergravity and ${\cal N}=8$, higher spin-four theory on $AdS_5$. The Weyl$^2$ plus Einstein supergravity theory is a special kind of a bimetric gravity theory and consists of a massless graviton multiplet plus an additional massive spin-two supermultiplet. Here, we argue that the additional spin-two field and its superpartners originate from massive excitations in the open string sector; just like the ${\cal N}=4$ super Yang-Mills gauge fields, they are localized on the world volume of D3-branes. The ghost structure of the Weyl action should be considered as an artifact of the truncation of the infinitely many higher derivative terms underlying the massive spin 2 action. In field theory, ${\cal N}=4$ Weyl$^2$ supergravity exhibits superconformal invariance in the limit of vanishing Planck mass. In string theory the additional spin-two fields become massless in the tensionless limit. Therefore low string scale scenarios with large extra dimensions provide (almost) superconformal field theories with almost massless open string spin-two fields. The full ${\cal N}=4$ scalar potential including the Yang-Mills matter multiplets is presented and the supersymmetric vacua of Einstein Supergravity are shown, as expected, to be vacua of massive Weyl supergravity. Other vacua are expected to exist which are not vacua of Einstein supergravity. Finally, we identify certain spin-four operators on the 4-dimensional boundary theory that could be the holographic duals of spin-four fields in the bulk.
| 7.664576
| 7.741363
| 8.207794
| 7.621793
| 8.020578
| 7.661088
| 7.826856
| 7.51321
| 7.266286
| 8.486411
| 7.449455
| 7.324095
| 7.726118
| 7.428801
| 7.643419
| 7.466111
| 7.497252
| 7.544547
| 7.410803
| 7.675106
| 7.472234
|
hep-th/0703048
|
Allan Adams
|
Allan Adams
|
Conformal Field Theory and the Reid Conjecture
|
4 pages, revtex
| null | null |
MIT-CTP 3816
|
hep-th math.AG
| null |
We construct special pairs of quantum sigma models on Kahler Calabi-Yau and
non-Kahler Fu-Yau manifolds which flow to the same conformal field theories in
their "small-radius" phases. This smooth description of a novel type of
topology change constitutes strong evidence for Reid's conjecture on the
connectedness of moduli spaces of Kahler and non-Kahler manifolds with trivial
canonical class.
|
[
{
"created": "Tue, 6 Mar 2007 20:28:06 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Adams",
"Allan",
""
]
] |
We construct special pairs of quantum sigma models on Kahler Calabi-Yau and non-Kahler Fu-Yau manifolds which flow to the same conformal field theories in their "small-radius" phases. This smooth description of a novel type of topology change constitutes strong evidence for Reid's conjecture on the connectedness of moduli spaces of Kahler and non-Kahler manifolds with trivial canonical class.
| 12.999634
| 14.144537
| 19.456758
| 13.175179
| 12.418789
| 12.87776
| 15.442903
| 13.017231
| 13.838786
| 21.011745
| 12.379744
| 13.417895
| 15.267517
| 12.96881
| 13.685711
| 13.092154
| 13.939862
| 12.720667
| 13.441668
| 16.002659
| 11.910881
|
hep-th/0508231
|
Shahrokh Parvizi
|
Shahrokh Parvizi, Alireza Tavanfar
|
Minimal redefinition of the OSV ensemble
|
23 pages, v2: minor changes
|
J.Math.Phys. 47 (2006) 122304
|
10.1063/1.2393149
|
IPM/P-2005/059
|
hep-th
| null |
In the interesting conjecture, Z_{BH} = |Z_{top}|^2, proposed by Ooguri,
Strominger and Vafa (OSV), the black hole ensemble is a mixed ensemble and the
resulting degeneracy of states, as obtained from the ensemble inverse-Laplace
integration, suffers from prefactors which do not respect the electric-magnetic
duality. One idea to overcome this deficiency, as claimed recently, is imposing
nontrivial measures for the ensemble sum. We address this problem and upon a
redefinition of the OSV ensemble whose variables are as numerous as the
electric potentials, show that for restoring the symmetry no non-Euclidean
measure is needful. In detail, we rewrite the OSV free energy as a function of
new variables which are combinations of the electric-potentials and the black
hole charges. Subsequently the Legendre transformation which bridges between
the entropy and the black hole free energy in terms of these variables, points
to a generalized ensemble. In this context, we will consider all the cases of
relevance: small and large black holes, with or without D_6-brane charge. For
the case of vanishing D_6-brane charge, the new ensemble is pure canonical and
the electric-magnetic duality is restored exactly, leading to proper results
for the black hole degeneracy of states. For more general cases, the
construction still works well as far as the violation of the duality by the
corresponding OSV result is restricted to a prefactor. In a concrete example we
shall show that for black holes with non-vanishing D_6-brane charge, there are
cases where the duality violation goes beyond this restriction, thus imposing
non-trivial measures is incapable of restoring the duality. This observation
signals for a deeper modification in the OSV proposal.
|
[
{
"created": "Tue, 30 Aug 2005 18:12:07 GMT",
"version": "v1"
},
{
"created": "Sat, 3 Sep 2005 12:02:27 GMT",
"version": "v2"
}
] |
2015-06-26
|
[
[
"Parvizi",
"Shahrokh",
""
],
[
"Tavanfar",
"Alireza",
""
]
] |
In the interesting conjecture, Z_{BH} = |Z_{top}|^2, proposed by Ooguri, Strominger and Vafa (OSV), the black hole ensemble is a mixed ensemble and the resulting degeneracy of states, as obtained from the ensemble inverse-Laplace integration, suffers from prefactors which do not respect the electric-magnetic duality. One idea to overcome this deficiency, as claimed recently, is imposing nontrivial measures for the ensemble sum. We address this problem and upon a redefinition of the OSV ensemble whose variables are as numerous as the electric potentials, show that for restoring the symmetry no non-Euclidean measure is needful. In detail, we rewrite the OSV free energy as a function of new variables which are combinations of the electric-potentials and the black hole charges. Subsequently the Legendre transformation which bridges between the entropy and the black hole free energy in terms of these variables, points to a generalized ensemble. In this context, we will consider all the cases of relevance: small and large black holes, with or without D_6-brane charge. For the case of vanishing D_6-brane charge, the new ensemble is pure canonical and the electric-magnetic duality is restored exactly, leading to proper results for the black hole degeneracy of states. For more general cases, the construction still works well as far as the violation of the duality by the corresponding OSV result is restricted to a prefactor. In a concrete example we shall show that for black holes with non-vanishing D_6-brane charge, there are cases where the duality violation goes beyond this restriction, thus imposing non-trivial measures is incapable of restoring the duality. This observation signals for a deeper modification in the OSV proposal.
| 11.514767
| 12.260714
| 13.145417
| 11.310632
| 12.601302
| 12.002249
| 12.021641
| 11.699372
| 11.995072
| 13.307231
| 11.809807
| 11.816538
| 11.746963
| 11.137745
| 11.118388
| 11.24389
| 11.140409
| 11.068614
| 10.898214
| 11.770756
| 11.078093
|
hep-th/0607134
|
Daniel S. Freed
|
Daniel S. Freed
|
Pions and Generalized Cohomology
|
29 pages, minor changes and added Proposition 4.4
| null | null | null |
hep-th math.AT
| null |
The Wess-Zumino-Witten term was first introduced in the low energy
sigma-model which describes pions, the Goldstone bosons for the broken flavor
symmetry in quantum chromodynamics. We introduce a new definition of this term
in arbitrary gravitational backgrounds. It matches several features of the
fundamental gauge theory, including the presence of fermionic states and the
anomaly of the flavor symmetry. To achieve this matching we use a certain
generalized differential cohomology theory. We also prove a formula for the
determinant line bundle of special families of Dirac operators on 4-manifolds
in terms of this cohomology theory. One consequence is that there are no global
anomalies in the Standard Model (in arbitrary gravitational backgrounds).
|
[
{
"created": "Wed, 19 Jul 2006 21:16:49 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Jul 2007 16:23:17 GMT",
"version": "v2"
}
] |
2007-07-05
|
[
[
"Freed",
"Daniel S.",
""
]
] |
The Wess-Zumino-Witten term was first introduced in the low energy sigma-model which describes pions, the Goldstone bosons for the broken flavor symmetry in quantum chromodynamics. We introduce a new definition of this term in arbitrary gravitational backgrounds. It matches several features of the fundamental gauge theory, including the presence of fermionic states and the anomaly of the flavor symmetry. To achieve this matching we use a certain generalized differential cohomology theory. We also prove a formula for the determinant line bundle of special families of Dirac operators on 4-manifolds in terms of this cohomology theory. One consequence is that there are no global anomalies in the Standard Model (in arbitrary gravitational backgrounds).
| 9.914277
| 9.674062
| 10.196569
| 9.700311
| 9.911242
| 10.000546
| 9.604277
| 10.260621
| 9.672865
| 11.073295
| 9.665272
| 9.622484
| 9.924416
| 9.786522
| 10.076718
| 9.726173
| 9.725679
| 9.793406
| 9.711222
| 10.275064
| 9.874184
|
hep-th/0104146
|
Angelos Fotopoulos
|
A. Fotopoulos
|
On $(\alpha')^2$ corrections to the D-brane action for non-geodesic
world-volume embeddings
|
34 pages, LaTeX, 4 Postscript figures, expanded introduction and
conclusions, typos corrected, references added, final version to appear in
JHEP09(2001)005
|
JHEP 0109:005,2001
|
10.1088/1126-6708/2001/09/005
|
CPHT-S021.0401
|
hep-th
| null |
In hep-th/9903210 (curvature)$^2$ terms of the effective D-brane action were
derived to lowest order in the string coupling. Their results are correct up to
ambiguous terms which involve the second fundamental form of the D-brane. We
compute five point string amplitudes on the disk. We compare the subleading
order in $\alpha'$ of the string amplitudes with the proposed lagrangian of
hep-th/9903210 supplemented by the ambiguous terms. The comparison determines
the complete form of the gravitational terms in the effective D-brane action to
order ${\calO}(\alpha^{' 2})$. Our results are valid for arbitrary ambient
geometries and world-volume embeddings.
|
[
{
"created": "Tue, 17 Apr 2001 17:31:00 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Sep 2001 17:51:39 GMT",
"version": "v2"
}
] |
2010-02-03
|
[
[
"Fotopoulos",
"A.",
""
]
] |
In hep-th/9903210 (curvature)$^2$ terms of the effective D-brane action were derived to lowest order in the string coupling. Their results are correct up to ambiguous terms which involve the second fundamental form of the D-brane. We compute five point string amplitudes on the disk. We compare the subleading order in $\alpha'$ of the string amplitudes with the proposed lagrangian of hep-th/9903210 supplemented by the ambiguous terms. The comparison determines the complete form of the gravitational terms in the effective D-brane action to order ${\calO}(\alpha^{' 2})$. Our results are valid for arbitrary ambient geometries and world-volume embeddings.
| 10.002995
| 8.709536
| 10.021575
| 8.622572
| 9.477264
| 8.990785
| 8.890098
| 8.673516
| 8.756389
| 11.698563
| 8.763344
| 8.86807
| 9.387979
| 8.750278
| 8.791786
| 8.723673
| 9.272995
| 9.131951
| 8.942005
| 9.112245
| 8.903935
|
hep-th/0007255
|
Chen-Gang Zhou
|
Chen-Gang Zhou
|
Noncommutative Scalar Solitons at Finite $\theta$
|
Harvmac, 16 pages, 2 figures
| null | null | null |
hep-th
| null |
We investigate the behavior of the noncommutative scalar soliton solutions at
finite noncommutative scale $\theta$. A detailed analysis of the equation of
the motion indicates that fewer and fewer soliton solutions exist as $\theta$
is decreased and thus the solitonic sector of the theory exhibits an overall
hierarchy structure. If the potential is bounded below, there is a finite
$\theta_c$ below which all the solitons cease to exist even though the
noncommutativity is still present. If the potential is not bounded below, for
any nonzero $\theta$ there is always a soliton solution, which becomes singular
only at $\theta = 0$. The $\phi^4$ potential is studied in detail and it is
found the critical $(\theta m^2)_c =13.92$ ($m^2$ is the coefficient of the
quadratic term in the potential) is universal for all the symmetric $\phi^4$
potential.
|
[
{
"created": "Mon, 31 Jul 2000 20:14:25 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Zhou",
"Chen-Gang",
""
]
] |
We investigate the behavior of the noncommutative scalar soliton solutions at finite noncommutative scale $\theta$. A detailed analysis of the equation of the motion indicates that fewer and fewer soliton solutions exist as $\theta$ is decreased and thus the solitonic sector of the theory exhibits an overall hierarchy structure. If the potential is bounded below, there is a finite $\theta_c$ below which all the solitons cease to exist even though the noncommutativity is still present. If the potential is not bounded below, for any nonzero $\theta$ there is always a soliton solution, which becomes singular only at $\theta = 0$. The $\phi^4$ potential is studied in detail and it is found the critical $(\theta m^2)_c =13.92$ ($m^2$ is the coefficient of the quadratic term in the potential) is universal for all the symmetric $\phi^4$ potential.
| 7.613471
| 6.565876
| 7.262906
| 6.859463
| 7.14995
| 7.000928
| 7.192266
| 6.900109
| 6.839819
| 7.232658
| 6.6921
| 6.916198
| 7.001632
| 6.849276
| 6.766886
| 7.004985
| 7.038829
| 6.894804
| 6.767826
| 6.969105
| 6.72163
|
1607.08593
|
Munir Al-Hashimi
|
M.H. Al-Hashimi, M. Salman, and A.M. Shalaby
|
The General Solution for the Relativistic and Nonrelativistic
Schr\"odinger Equation for the $\delta^{(n)}$-Function Potential in
1-dimension Using Cutoff Regularization, and the Fate of Universality
|
36 pages, 7 figures. arXiv admin note: substantial text overlap with
arXiv:1503.00786
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A general method has been developed to solve the Schr\"odinger equation for
an arbitrary derivative of the $\delta$-function potential in 1-d using cutoff
regularization. The work treats both the relativistic and nonrelativistic
cases. A distinction in the treatment has been made between the case when the
derivative $n$ is an even number from the one when $n$ is an odd number. A
general gap equations for each case has been derived. The case of
$\delta^{(2)}$-function potential has been used as an example. The results from
the relativistic case show that the $\delta^{(2)}$-function system behaves
exactly like the $\delta$-function and the $\delta'$-function potentials, which
means it also shares the same features with quantum field theories, like being
asymptotically free, in the massless limit, it undergoes dimensional
transmutation and it possesses an infrared conformal fixed point. As a result
the evidence of universality of contact interactions has been extended further
to include the $\delta^{(2)}$-function potential.
|
[
{
"created": "Thu, 28 Jul 2016 19:47:40 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Feb 2019 18:51:28 GMT",
"version": "v2"
}
] |
2019-02-08
|
[
[
"Al-Hashimi",
"M. H.",
""
],
[
"Salman",
"M.",
""
],
[
"Shalaby",
"A. M.",
""
]
] |
A general method has been developed to solve the Schr\"odinger equation for an arbitrary derivative of the $\delta$-function potential in 1-d using cutoff regularization. The work treats both the relativistic and nonrelativistic cases. A distinction in the treatment has been made between the case when the derivative $n$ is an even number from the one when $n$ is an odd number. A general gap equations for each case has been derived. The case of $\delta^{(2)}$-function potential has been used as an example. The results from the relativistic case show that the $\delta^{(2)}$-function system behaves exactly like the $\delta$-function and the $\delta'$-function potentials, which means it also shares the same features with quantum field theories, like being asymptotically free, in the massless limit, it undergoes dimensional transmutation and it possesses an infrared conformal fixed point. As a result the evidence of universality of contact interactions has been extended further to include the $\delta^{(2)}$-function potential.
| 7.649562
| 7.247051
| 7.965737
| 7.208063
| 6.84979
| 6.775596
| 7.0317
| 7.478599
| 7.145148
| 8.449268
| 7.004891
| 7.179688
| 7.33285
| 7.108373
| 7.019748
| 7.20315
| 7.155171
| 7.181158
| 7.116505
| 7.428678
| 7.116925
|
1508.04281
|
Daniil Kalinov
|
D. Kalinov (HSE, Moscow)
|
On radiation due to homogeneously accelerating sources
|
20 pages, no figures
| null |
10.1103/PhysRevD.92.084048
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The core of this work is an old and broadly discussed problem of the
electromagnetic radiation in the case of the hyperbolic motion. We prove that
the radiation is non-zero in the lab (Minkowski) frame. Further, we attempt to
understand this subject better by using co-moving non-inertial frames of
reference, investigating other types of uniformly accelerated motion and,
finally, using scalar waves instead of point-like particles as sources of
radiation.
|
[
{
"created": "Tue, 18 Aug 2015 11:34:02 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Oct 2015 21:14:15 GMT",
"version": "v2"
}
] |
2015-11-04
|
[
[
"Kalinov",
"D.",
"",
"HSE, Moscow"
]
] |
The core of this work is an old and broadly discussed problem of the electromagnetic radiation in the case of the hyperbolic motion. We prove that the radiation is non-zero in the lab (Minkowski) frame. Further, we attempt to understand this subject better by using co-moving non-inertial frames of reference, investigating other types of uniformly accelerated motion and, finally, using scalar waves instead of point-like particles as sources of radiation.
| 17.522396
| 18.154097
| 14.13402
| 14.196478
| 16.394299
| 15.173748
| 18.22349
| 15.841515
| 14.232365
| 16.35363
| 16.210691
| 16.275888
| 15.081713
| 15.249146
| 15.155143
| 15.177286
| 16.155968
| 15.53628
| 15.571612
| 14.848252
| 16.464638
|
1309.0674
|
Kofinas Georgios
|
Georgios Kofinas, Maria Irakleidou
|
Self-gravitating branes again
|
32 pages
|
Phys. Rev. D 89, 065015 (2014)
|
10.1103/PhysRevD.89.065015
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We raise on theoretical grounds the question of the physical relevance of
Israel matching conditions and their generalizations to higher codimensions,
the standard cornerstone of the braneworld and other membrane scenarios. Our
reasoning is twofold: First, the incapability of the conventional matching
conditions to accept the Nambu-Goto probe limit (even the geodesic limit of the
Israel matching conditions is not acceptable since being the geodesic equation
a kinematical fact it should be preserved for all gravitational theories or
defects, which is not the case for these conditions). Second, in our
D-dimensional spacetime (maybe D=4), classical defects of any possible
codimension should be compatible. These matching conditions fail to accept
codimension-2 and 3 defects for D=4 (which represents effectively the spacetime
at certain length and energy scales) and most probably fail to accept high
enough codimensional defects for any D since there is no high enough Lovelock
density to support them. Here, we propose alternative matching conditions which
seem to satisfy the previous criteria. Instead of varying the brane-bulk action
with respect to the bulk metric at the brane position, we vary with respect to
the brane embedding fields so that the gravitational back-reaction is included.
For a codimension-2 brane in 6-dim EGB gravity we prove its consistency for an
axially symmetric cosmological configuration. The cosmologies found have the
LFRW behaviour and extra correction terms. For a radiation brane one solution
avoids a cosmological singularity and undergoes accelerated expansion near the
minimum scale factor. In the presence of an induced gravity term, there
naturally appears in the theory the effective cosmological constant scale
lambda/(M_6^4 r_c^2), which for a brane tension lambda\sim M_6^4 (e.g. TeV^4)
and r_c \sim H_0^{-1} gives the observed value of the cosmological constant.
|
[
{
"created": "Tue, 3 Sep 2013 13:41:36 GMT",
"version": "v1"
}
] |
2014-03-19
|
[
[
"Kofinas",
"Georgios",
""
],
[
"Irakleidou",
"Maria",
""
]
] |
We raise on theoretical grounds the question of the physical relevance of Israel matching conditions and their generalizations to higher codimensions, the standard cornerstone of the braneworld and other membrane scenarios. Our reasoning is twofold: First, the incapability of the conventional matching conditions to accept the Nambu-Goto probe limit (even the geodesic limit of the Israel matching conditions is not acceptable since being the geodesic equation a kinematical fact it should be preserved for all gravitational theories or defects, which is not the case for these conditions). Second, in our D-dimensional spacetime (maybe D=4), classical defects of any possible codimension should be compatible. These matching conditions fail to accept codimension-2 and 3 defects for D=4 (which represents effectively the spacetime at certain length and energy scales) and most probably fail to accept high enough codimensional defects for any D since there is no high enough Lovelock density to support them. Here, we propose alternative matching conditions which seem to satisfy the previous criteria. Instead of varying the brane-bulk action with respect to the bulk metric at the brane position, we vary with respect to the brane embedding fields so that the gravitational back-reaction is included. For a codimension-2 brane in 6-dim EGB gravity we prove its consistency for an axially symmetric cosmological configuration. The cosmologies found have the LFRW behaviour and extra correction terms. For a radiation brane one solution avoids a cosmological singularity and undergoes accelerated expansion near the minimum scale factor. In the presence of an induced gravity term, there naturally appears in the theory the effective cosmological constant scale lambda/(M_6^4 r_c^2), which for a brane tension lambda\sim M_6^4 (e.g. TeV^4) and r_c \sim H_0^{-1} gives the observed value of the cosmological constant.
| 14.342093
| 14.079775
| 15.495893
| 13.52207
| 14.629356
| 14.895087
| 14.704828
| 13.641485
| 13.962853
| 15.110632
| 13.82604
| 13.677727
| 13.602551
| 13.416217
| 13.270844
| 13.938015
| 13.922315
| 13.504659
| 13.352338
| 13.599079
| 13.117702
|
1307.7864
|
KaiXi Feng
|
Kaixi Feng, Taotao Qiu, Yun-Song Piao
|
Curvaton with nonminimal derivative coupling to gravity
|
11 pages
| null |
10.1016/j.physletb.2014.01.008
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show a curvaton model, in which the curvaton has a nonminimal derivative
coupling to gravity. Thanks to such a coupling, we find that the
scale-invariance of the perturbations can be achieved for arbitrary values of
the equation-of-state of background, provided that it is nearly a constant. We
also discussed about tensor perturbations, the local non-Gaussianities
generated by the nonminimal derivative coupling curvaton model, as well as the
adiabatic perturbations which are transferred from the field perturbations
during the curvaton decay.
|
[
{
"created": "Tue, 30 Jul 2013 08:14:42 GMT",
"version": "v1"
},
{
"created": "Sat, 18 Jan 2014 07:02:30 GMT",
"version": "v2"
}
] |
2015-06-16
|
[
[
"Feng",
"Kaixi",
""
],
[
"Qiu",
"Taotao",
""
],
[
"Piao",
"Yun-Song",
""
]
] |
We show a curvaton model, in which the curvaton has a nonminimal derivative coupling to gravity. Thanks to such a coupling, we find that the scale-invariance of the perturbations can be achieved for arbitrary values of the equation-of-state of background, provided that it is nearly a constant. We also discussed about tensor perturbations, the local non-Gaussianities generated by the nonminimal derivative coupling curvaton model, as well as the adiabatic perturbations which are transferred from the field perturbations during the curvaton decay.
| 7.50887
| 7.940153
| 7.074071
| 7.05096
| 7.320267
| 7.003131
| 7.525529
| 7.219995
| 7.616835
| 7.395517
| 7.108641
| 7.780893
| 7.719649
| 7.401542
| 7.522782
| 7.615473
| 7.377676
| 7.428301
| 7.647589
| 7.353072
| 7.363911
|
2301.12870
|
Thomas Oosthuyse
|
Thomas Oosthuyse, David Dudal
|
Interplay between chiral media and perfect electromagnetic conductor
plates: repulsive vs. attractive Casimir force transitions
|
8 pages, 7 figures
|
SciPost Phys. 15, 213 (2023)
|
10.21468/SciPostPhys.15.5.213
| null |
hep-th cond-mat.other
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We determine the Casimir energies and forces in a variety of potentially
experimentally viable setups, consisting of parallel plates made of perfect
electromagnetic conductors (PEMCs), which generalize perfect electric
conductors (PECs) and perfect magnetic conductors (PMCs), and Weyl semimetals
(WSMs). Where comparison is possible, our results agree with the Casimir forces
calculated elsewhere in the literature, albeit with different methods. We find
a multitude of known but also new cases where repulsive Casimir forces are in
principle possible, but restricting the setup to PECs combined with the
aforementioned WSM geometry, results in purely attractive Casimir forces.
|
[
{
"created": "Mon, 30 Jan 2023 13:24:04 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Feb 2023 09:26:00 GMT",
"version": "v2"
},
{
"created": "Fri, 24 Feb 2023 12:59:17 GMT",
"version": "v3"
},
{
"created": "Wed, 13 Sep 2023 14:53:54 GMT",
"version": "v4"
},
{
"created": "Thu, 14 Sep 2023 12:18:13 GMT",
"version": "v5"
},
{
"created": "Fri, 15 Sep 2023 13:11:01 GMT",
"version": "v6"
}
] |
2023-11-29
|
[
[
"Oosthuyse",
"Thomas",
""
],
[
"Dudal",
"David",
""
]
] |
We determine the Casimir energies and forces in a variety of potentially experimentally viable setups, consisting of parallel plates made of perfect electromagnetic conductors (PEMCs), which generalize perfect electric conductors (PECs) and perfect magnetic conductors (PMCs), and Weyl semimetals (WSMs). Where comparison is possible, our results agree with the Casimir forces calculated elsewhere in the literature, albeit with different methods. We find a multitude of known but also new cases where repulsive Casimir forces are in principle possible, but restricting the setup to PECs combined with the aforementioned WSM geometry, results in purely attractive Casimir forces.
| 9.271352
| 9.523693
| 9.59756
| 8.558682
| 9.53365
| 9.674664
| 9.155264
| 9.131892
| 9.155591
| 11.635196
| 9.022054
| 9.144553
| 9.36838
| 9.090287
| 9.023388
| 9.127425
| 9.185443
| 8.982894
| 9.271382
| 9.598063
| 8.79004
|
1401.7980
|
Martin Schnabl
|
Matej Kudrna, Miroslav Rapcak, Martin Schnabl
|
Ising model conformal boundary conditions from open string field theory
|
41 pages, 3 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Given a consistent choice of conformally invariant boundary conditions in a
two dimensional conformal field theory, one can construct new consistent
boundary conditions by deforming with a relevant boundary operator and flowing
to the infrared, or by a marginal deformation. Open string field theory
provides a very universal tool to discover and study such new boundary
theories. Surprisingly, it also allows one to go in the reverse direction and
to uncover solutions with higher boundary entropy. We will illustrate our
results on the well studied example of Ising model.
|
[
{
"created": "Thu, 30 Jan 2014 20:50:13 GMT",
"version": "v1"
}
] |
2014-01-31
|
[
[
"Kudrna",
"Matej",
""
],
[
"Rapcak",
"Miroslav",
""
],
[
"Schnabl",
"Martin",
""
]
] |
Given a consistent choice of conformally invariant boundary conditions in a two dimensional conformal field theory, one can construct new consistent boundary conditions by deforming with a relevant boundary operator and flowing to the infrared, or by a marginal deformation. Open string field theory provides a very universal tool to discover and study such new boundary theories. Surprisingly, it also allows one to go in the reverse direction and to uncover solutions with higher boundary entropy. We will illustrate our results on the well studied example of Ising model.
| 12.643841
| 9.858275
| 13.950952
| 11.16365
| 11.203269
| 11.523479
| 11.473223
| 11.106316
| 10.626383
| 14.391234
| 11.182291
| 10.899414
| 12.734631
| 11.454082
| 11.068996
| 11.372755
| 11.216526
| 10.949167
| 11.760683
| 13.09216
| 10.910888
|
1803.00450
|
Kimball A. Milton
|
Kimball Milton and Iver Brevik
|
Casimir Energies for Isorefractive or Diaphanous Balls
|
9 pages, 5 figures, submitted to Symmetry
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is familiar that the Casimir self-energy of a homogeneous dielectric ball
is divergent, although a finite self-energy can be extracted through second
order in the deviation of the permittivity from the vacuum value. The exception
occurs when the speed of light inside the spherical boundary is the same as
that outside, so the self-energy of a perfectly conducting spherical shell is
finite, as is the energy of a dielectric-diamagnetic sphere with
$\varepsilon\mu=1$, a so-called isorefractive or diaphanous ball. Here we
re-examine that example, and attempt to extend it to an electromagnetic
$\delta$-function sphere, where the electric and magnetic couplings are equal
and opposite. Unfortunately, although the energy expression is superficially
ultraviolet finite, additional divergences appear that render it difficult to
extract a meaningful result in general, but some limited results are presented.
|
[
{
"created": "Thu, 1 Mar 2018 15:35:14 GMT",
"version": "v1"
}
] |
2018-03-02
|
[
[
"Milton",
"Kimball",
""
],
[
"Brevik",
"Iver",
""
]
] |
It is familiar that the Casimir self-energy of a homogeneous dielectric ball is divergent, although a finite self-energy can be extracted through second order in the deviation of the permittivity from the vacuum value. The exception occurs when the speed of light inside the spherical boundary is the same as that outside, so the self-energy of a perfectly conducting spherical shell is finite, as is the energy of a dielectric-diamagnetic sphere with $\varepsilon\mu=1$, a so-called isorefractive or diaphanous ball. Here we re-examine that example, and attempt to extend it to an electromagnetic $\delta$-function sphere, where the electric and magnetic couplings are equal and opposite. Unfortunately, although the energy expression is superficially ultraviolet finite, additional divergences appear that render it difficult to extract a meaningful result in general, but some limited results are presented.
| 9.51403
| 8.901157
| 10.703216
| 8.753988
| 8.975338
| 8.088941
| 8.979452
| 8.81292
| 8.777502
| 11.07604
| 8.366839
| 8.775683
| 9.655176
| 8.990564
| 8.867635
| 8.853233
| 8.783037
| 8.77633
| 8.861808
| 9.331616
| 8.786694
|
0806.1788
|
Ivo Sachs
|
Ivo Sachs, Sergey N. Solodukhin
|
Quasi-Normal Modes in Topologically Massive Gravity
|
13 pages, typos corrected
|
JHEP 0808:003,2008
|
10.1088/1126-6708/2008/08/003
|
LMU-ASC 35/08
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We determine the black hole quasi-normal mode spectrum for tensor
perturbations in topologically massive AdS-gravity. In the special case of
chiral gravity quasi-normal modes are absent despite of the presence of a
horizon. In the process we uncover a simple algebraic structure in the quasi
normal modes spectrum: the tower of QNM's consists of descendents of a "chiral
highest weight'' QNM which in turn satisfies a first order equation.
|
[
{
"created": "Wed, 11 Jun 2008 04:43:57 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Jun 2008 06:16:36 GMT",
"version": "v2"
},
{
"created": "Mon, 15 Sep 2008 11:42:21 GMT",
"version": "v3"
}
] |
2009-12-10
|
[
[
"Sachs",
"Ivo",
""
],
[
"Solodukhin",
"Sergey N.",
""
]
] |
We determine the black hole quasi-normal mode spectrum for tensor perturbations in topologically massive AdS-gravity. In the special case of chiral gravity quasi-normal modes are absent despite of the presence of a horizon. In the process we uncover a simple algebraic structure in the quasi normal modes spectrum: the tower of QNM's consists of descendents of a "chiral highest weight'' QNM which in turn satisfies a first order equation.
| 13.747612
| 11.225962
| 14.702417
| 11.986524
| 12.053676
| 12.530441
| 11.359241
| 12.31035
| 11.202373
| 15.333817
| 11.399397
| 12.154362
| 12.397252
| 11.926146
| 12.675422
| 12.50564
| 12.26755
| 11.993274
| 11.927635
| 13.14543
| 12.332803
|
hep-th/9810006
|
Gabor Takacs
|
G. Takacs (INFN Sez. di Bologna), G.M.T. Watts (King's College,
London)
|
Non-unitarity in quantum affine Toda theory and perturbed conformal
field theory
|
29 pp, LaTex2e, 6 eps and 1 ps figures
|
Nucl.Phys. B547 (1999) 538-568
|
10.1016/S0550-3213(99)00100-5
|
DFUB-98-18, KCL-MTH-98-38
|
hep-th
| null |
There has been some debate about the validity of quantum affine Toda field
theory at imaginary coupling, owing to the non-unitarity of the action, and
consequently of its usefulness as a model of perturbed conformal field theory.
Drawing on our recent work, we investigate the two simplest affine Toda
theories for which this is an issue - a2(1) and a2(2). By investigating the
S-matrices of these theories before RSOS restriction, we show that quantum Toda
theory, (with or without RSOS restriction), indeed has some fundamental
problems, but that these problems are of two different sorts. For a2(1), the
scattering of solitons and breathers is flawed in both classical and quantum
theories, and RSOS restriction cannot solve this problem. For a2(2) however,
while there are no problems with breather-soliton scattering there are instead
difficulties with soliton-excited soliton scattering in the unrestricted
theory. After RSOS restriction, the problems with kink-excited kink may be
cured or may remain, depending in part on the choice of gradation, as we found
in [12]. We comment on the importance of regradations, and also on the survival
of R-matrix unitarity and the S-matrix bootstrap in these circumstances.
|
[
{
"created": "Thu, 1 Oct 1998 14:17:36 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Takacs",
"G.",
"",
"INFN Sez. di Bologna"
],
[
"Watts",
"G. M. T.",
"",
"King's College,\n London"
]
] |
There has been some debate about the validity of quantum affine Toda field theory at imaginary coupling, owing to the non-unitarity of the action, and consequently of its usefulness as a model of perturbed conformal field theory. Drawing on our recent work, we investigate the two simplest affine Toda theories for which this is an issue - a2(1) and a2(2). By investigating the S-matrices of these theories before RSOS restriction, we show that quantum Toda theory, (with or without RSOS restriction), indeed has some fundamental problems, but that these problems are of two different sorts. For a2(1), the scattering of solitons and breathers is flawed in both classical and quantum theories, and RSOS restriction cannot solve this problem. For a2(2) however, while there are no problems with breather-soliton scattering there are instead difficulties with soliton-excited soliton scattering in the unrestricted theory. After RSOS restriction, the problems with kink-excited kink may be cured or may remain, depending in part on the choice of gradation, as we found in [12]. We comment on the importance of regradations, and also on the survival of R-matrix unitarity and the S-matrix bootstrap in these circumstances.
| 9.797531
| 10.893398
| 11.865188
| 9.920846
| 11.103638
| 10.609789
| 11.076891
| 10.095603
| 10.016191
| 12.329757
| 10.337615
| 9.908637
| 10.110978
| 9.70883
| 10.004365
| 9.909716
| 9.819329
| 9.840339
| 9.896281
| 10.282769
| 9.873724
|
hep-th/9411041
|
Kalmykov M. Yu
|
L.V.Avdeev, D.I.Kazakov and M.Yu.Kalmykov
|
The Background-Field Method and Noninvariant Renormalization
|
12 pages, LATEX
| null | null |
JINR E2-94-388
|
hep-th
| null |
We investigate the consistency of the background-field formalism when
applying various regularizations and renormalization schemes. By an example of
a two-dimensional $\sigma$ model it is demonstrated that the background-field
method gives incorrect results when the regularization (and/or renormalization)
is noninvariant. In particular, it is found that the cut-off regularization and
the differential renormalization belong to this class and are incompatible with
the background-field method in theories with nonlinear symmetries.
|
[
{
"created": "Thu, 3 Nov 1994 22:38:40 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Avdeev",
"L. V.",
""
],
[
"Kazakov",
"D. I.",
""
],
[
"Kalmykov",
"M. Yu.",
""
]
] |
We investigate the consistency of the background-field formalism when applying various regularizations and renormalization schemes. By an example of a two-dimensional $\sigma$ model it is demonstrated that the background-field method gives incorrect results when the regularization (and/or renormalization) is noninvariant. In particular, it is found that the cut-off regularization and the differential renormalization belong to this class and are incompatible with the background-field method in theories with nonlinear symmetries.
| 8.832886
| 5.604114
| 8.559684
| 6.989616
| 8.236746
| 5.761578
| 5.792782
| 6.608156
| 6.770736
| 9.121717
| 7.290366
| 7.464111
| 8.155448
| 7.821544
| 7.956665
| 7.542536
| 7.484501
| 7.693953
| 7.759012
| 7.806325
| 7.531757
|
2307.16801
|
Yangrui Hu
|
Yangrui Hu and Sabrina Pasterski
|
Detector Operators for Celestial Symmetries
| null | null |
10.1007/JHEP12(2023)035
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper presents a systematic cataloging of the generators of celestial
symmetries on phase space. Starting from the celestial OPEs, we first show how
to extract a representation of the general-spin analog of the wedge subalgebra
of $w_{1+\infty}$ on the phase space of massless matter fields of arbitrary
helicity. These generators can be expressed as light-sheet operators that are
quadratic in the matter fields at future or past null infinity. We next show
how to extend these symmetries beyond the wedge. Doing so requires us to
augment the quadratic operators with: 1) linear terms corresponding to primary
descendants of the negative helicity gauge fields the matter modes couple to,
and 2) a tower of higher-particle composite operator contributions. These modes
can be realized as light-ray operators supported on generators of null
infinity, but local on the celestial sphere. Finally, we construct a
representation of the celestial symmetries that captures how the positive
helicity gauge fields transform. We close by discussing how these celestial
symmetries inform our choice of detector operators.
|
[
{
"created": "Mon, 31 Jul 2023 16:11:03 GMT",
"version": "v1"
}
] |
2023-12-07
|
[
[
"Hu",
"Yangrui",
""
],
[
"Pasterski",
"Sabrina",
""
]
] |
This paper presents a systematic cataloging of the generators of celestial symmetries on phase space. Starting from the celestial OPEs, we first show how to extract a representation of the general-spin analog of the wedge subalgebra of $w_{1+\infty}$ on the phase space of massless matter fields of arbitrary helicity. These generators can be expressed as light-sheet operators that are quadratic in the matter fields at future or past null infinity. We next show how to extend these symmetries beyond the wedge. Doing so requires us to augment the quadratic operators with: 1) linear terms corresponding to primary descendants of the negative helicity gauge fields the matter modes couple to, and 2) a tower of higher-particle composite operator contributions. These modes can be realized as light-ray operators supported on generators of null infinity, but local on the celestial sphere. Finally, we construct a representation of the celestial symmetries that captures how the positive helicity gauge fields transform. We close by discussing how these celestial symmetries inform our choice of detector operators.
| 14.465697
| 12.969728
| 15.557036
| 12.74006
| 13.554294
| 13.14208
| 13.519446
| 13.131033
| 12.724384
| 17.82378
| 12.816801
| 13.368784
| 14.398514
| 12.999779
| 13.018727
| 13.006061
| 13.260802
| 12.966412
| 12.998208
| 14.387491
| 13.260409
|
1810.13440
|
Onkar Parrikar
|
Vijay Balasubramanian, David Berenstein, Aitor Lewkowycz, Alexandra
Miller, Onkar Parrikar and Charles Rabideau
|
Emergent classical spacetime from microstates of an incipient black hole
|
47 pages, 9 figures
| null |
10.1007/JHEP01(2019)197
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Black holes have an enormous underlying space of microstates, but universal
macroscopic physics characterized by mass, charge and angular momentum as well
as a causally disconnected interior. This leads two related puzzles: (1) How
does the effective factorization of interior and exterior degrees of freedom
emerge in gravity?, and (2) How does the underlying degeneracy of states wind
up having a geometric realization in the horizon area and in properties of the
singularity? We explore these puzzles in the context of an incipient black hole
in the AdS/CFT correspondence, the microstates of which are dual to half-BPS
states of the $\mathcal{N}=4$ super-Yang-Mills theory. First, we construct a
code subspace for this black hole and show how to organize it as a tensor
product of a universal macroscopic piece (describing the exterior), and a
factor corresponding to the microscopic degrees of freedom (describing the
interior). We then study the classical phase space and symplectic form for
low-energy excitations around the black hole. On the AdS side, we find that the
symplectic form has a new physical degree of freedom at the stretched horizon
of the black hole, reminiscent of soft hair, which is absent in the
microstates. We explicitly show how such a soft mode emerges from the
microscopic phase space in the dual CFT via a canonical transformation and how
it encodes partial information about the microscopic degrees of freedom of the
black hole.
|
[
{
"created": "Wed, 31 Oct 2018 17:54:25 GMT",
"version": "v1"
}
] |
2019-02-20
|
[
[
"Balasubramanian",
"Vijay",
""
],
[
"Berenstein",
"David",
""
],
[
"Lewkowycz",
"Aitor",
""
],
[
"Miller",
"Alexandra",
""
],
[
"Parrikar",
"Onkar",
""
],
[
"Rabideau",
"Charles",
""
]
] |
Black holes have an enormous underlying space of microstates, but universal macroscopic physics characterized by mass, charge and angular momentum as well as a causally disconnected interior. This leads two related puzzles: (1) How does the effective factorization of interior and exterior degrees of freedom emerge in gravity?, and (2) How does the underlying degeneracy of states wind up having a geometric realization in the horizon area and in properties of the singularity? We explore these puzzles in the context of an incipient black hole in the AdS/CFT correspondence, the microstates of which are dual to half-BPS states of the $\mathcal{N}=4$ super-Yang-Mills theory. First, we construct a code subspace for this black hole and show how to organize it as a tensor product of a universal macroscopic piece (describing the exterior), and a factor corresponding to the microscopic degrees of freedom (describing the interior). We then study the classical phase space and symplectic form for low-energy excitations around the black hole. On the AdS side, we find that the symplectic form has a new physical degree of freedom at the stretched horizon of the black hole, reminiscent of soft hair, which is absent in the microstates. We explicitly show how such a soft mode emerges from the microscopic phase space in the dual CFT via a canonical transformation and how it encodes partial information about the microscopic degrees of freedom of the black hole.
| 9.311832
| 9.129384
| 9.107747
| 8.650867
| 9.377556
| 9.135345
| 9.278359
| 8.566239
| 8.84882
| 10.116128
| 8.872835
| 8.703321
| 8.740558
| 8.465162
| 8.492501
| 9.016611
| 8.514977
| 8.711155
| 8.456498
| 8.665157
| 8.611156
|
hep-th/9705188
|
Ori Ganor
|
Ori J. Ganor, Rajesh Gopakumar and Sanjaye Ramgoolam
|
Higher Loop Effects in M(atrix) Orbifolds
|
Discussion of the discrepancy with M(atrix)-theory is clarified. We
emphasize the fact that the main problem is not a numerical one but in the
factors of N. We also made minor corrections to the text, 24pp TeX
|
Nucl.Phys. B511 (1998) 243-263
|
10.1016/S0550-3213(97)00654-8
|
PUPT-1680
|
hep-th
| null |
Scattering of zero branes off the fixed point in $R^8/Z_2$, as described by a
super-quantum mechanics with eight supercharges, displays some novel effects
relevant to Matrix theory in non-compact backgrounds. The leading long distance
behaviour of the moduli space metric receives no correction at one loop in
Matrix theory, but does receive a correction at two loops. There are no
contributions at higher loops. We explicitly calculate the two-loop term,
finding a non-zero result. We find a discrepancy with M(atrix)-theory. Although
the result has the right dependence on $v$ and $b$ for the scattering of zero
branes off the fixed point the factors of $N$ do not match. We also discuss
scattering in the orbifolds, $R^5/Z_2$ and $R^9/Z_2$ where we find the
predicted fractional charges.
|
[
{
"created": "Fri, 23 May 1997 23:19:24 GMT",
"version": "v1"
},
{
"created": "Mon, 26 May 1997 23:31:35 GMT",
"version": "v2"
},
{
"created": "Sun, 8 Jun 1997 22:12:28 GMT",
"version": "v3"
}
] |
2009-10-30
|
[
[
"Ganor",
"Ori J.",
""
],
[
"Gopakumar",
"Rajesh",
""
],
[
"Ramgoolam",
"Sanjaye",
""
]
] |
Scattering of zero branes off the fixed point in $R^8/Z_2$, as described by a super-quantum mechanics with eight supercharges, displays some novel effects relevant to Matrix theory in non-compact backgrounds. The leading long distance behaviour of the moduli space metric receives no correction at one loop in Matrix theory, but does receive a correction at two loops. There are no contributions at higher loops. We explicitly calculate the two-loop term, finding a non-zero result. We find a discrepancy with M(atrix)-theory. Although the result has the right dependence on $v$ and $b$ for the scattering of zero branes off the fixed point the factors of $N$ do not match. We also discuss scattering in the orbifolds, $R^5/Z_2$ and $R^9/Z_2$ where we find the predicted fractional charges.
| 12.040658
| 10.167991
| 13.8486
| 10.528584
| 10.658499
| 10.601761
| 10.613657
| 10.842159
| 10.193233
| 14.686417
| 10.066354
| 10.033162
| 11.677563
| 10.388532
| 10.162704
| 10.331803
| 10.206312
| 10.393557
| 10.455119
| 11.227587
| 10.413781
|
hep-th/9411127
|
Flad
|
J. Madore, T. Masson, J. Mourad
|
Linear connections on matrix geometries
|
14p, LPTHE-ORSAY 94/96
|
Class.Quant.Grav.12:1429-1440,1995
|
10.1088/0264-9381/12/6/009
| null |
hep-th
| null |
A general definition of a linear connection in noncommutative geometry has
been recently proposed. Two examples are given of linear connections in
noncommutative geometries which are based on matrix algebras. They both possess
a unique metric connection.
|
[
{
"created": "Thu, 17 Nov 1994 10:14:43 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Dec 1994 14:15:33 GMT",
"version": "v2"
}
] |
2010-04-06
|
[
[
"Madore",
"J.",
""
],
[
"Masson",
"T.",
""
],
[
"Mourad",
"J.",
""
]
] |
A general definition of a linear connection in noncommutative geometry has been recently proposed. Two examples are given of linear connections in noncommutative geometries which are based on matrix algebras. They both possess a unique metric connection.
| 9.837571
| 6.67083
| 8.420393
| 7.085615
| 7.45847
| 7.624589
| 7.394026
| 7.118774
| 7.679784
| 7.705301
| 7.738874
| 7.880773
| 8.507753
| 7.78423
| 7.635732
| 7.724005
| 7.814488
| 7.834715
| 8.302355
| 8.463324
| 8.080505
|
1011.3481
|
Andrei Mironov
|
A.Mironov, A.Morozov and Sh.Shakirov
|
Brezin-Gross-Witten model as "pure gauge" limit of Selberg integrals
|
21 pages
|
JHEP 1103:102,2011
|
10.1007/JHEP03(2011)102
|
FIAN/TD-08/10; ITEP/TH-39/10
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The AGT relation identifies the Nekrasov functions for various N=2 SUSY gauge
theories with the 2d conformal blocks, which possess explicit Dotsenko-Fateev
matrix model (beta-ensemble) representations the latter being polylinear
combinations of Selberg integrals. The "pure gauge" limit of these matrix
models is, however, a non-trivial multiscaling large-N limit, which requires a
separate investigation. We show that in this pure gauge limit the Selberg
integrals turn into averages in a Brezin-Gross-Witten (BGW) model. Thus, the
Nekrasov function for pure SU(2) theory acquires a form very much reminiscent
of the AMM decomposition formula for some model X into a pair of the BGW
models. At the same time, X, which still has to be found, is the pure gauge
limit of the elliptic Selberg integral. Presumably, it is again a BGW model,
only in the Dijkgraaf-Vafa double cut phase.
|
[
{
"created": "Mon, 15 Nov 2010 19:44:02 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Dec 2010 19:36:25 GMT",
"version": "v2"
}
] |
2011-03-30
|
[
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
],
[
"Shakirov",
"Sh.",
""
]
] |
The AGT relation identifies the Nekrasov functions for various N=2 SUSY gauge theories with the 2d conformal blocks, which possess explicit Dotsenko-Fateev matrix model (beta-ensemble) representations the latter being polylinear combinations of Selberg integrals. The "pure gauge" limit of these matrix models is, however, a non-trivial multiscaling large-N limit, which requires a separate investigation. We show that in this pure gauge limit the Selberg integrals turn into averages in a Brezin-Gross-Witten (BGW) model. Thus, the Nekrasov function for pure SU(2) theory acquires a form very much reminiscent of the AMM decomposition formula for some model X into a pair of the BGW models. At the same time, X, which still has to be found, is the pure gauge limit of the elliptic Selberg integral. Presumably, it is again a BGW model, only in the Dijkgraaf-Vafa double cut phase.
| 11.894393
| 11.20574
| 12.197224
| 10.224041
| 11.246083
| 10.549109
| 10.931925
| 10.462887
| 10.102894
| 14.728551
| 10.887561
| 10.638209
| 11.232179
| 10.155264
| 10.549557
| 10.823187
| 10.040532
| 10.517259
| 10.436831
| 11.13333
| 10.225822
|
hep-th/9412244
|
Theordpt
|
A. A. Deriglazov
|
Notes on Lagrangean and Hamiltonian Symmetries
|
7 pages, LaTeX
| null | null | null |
hep-th
| null |
The Hamiltonization of local symmetries of the form $\delta q^A =
\ea{R_a}^A(q,\dot q)$ or $\delta q^A = \dot\ea{R_a}^A (q,\dot q)$ for arbitrary
Lagrangean model $L(q^A,\dot q^A)$ is considered. We show as the initial
symmetries are transformed in the transition from $L$ to first order action,
and then to the Hamiltonian action $S_H=\int{\rm d}\tau(p_A\dot
q^A-H_0-v^\alpha\Phi_\alpha)$, where $\Phi_\alpha$ are the all (first and
second class) primary constraints. An exact formulae for local symmetries of
$S_H$ in terms of the initial generators ${R_a}^A$ and all primary constraints
$\Phi_\alpha$ are obtained.
|
[
{
"created": "Sun, 1 Jan 1995 15:13:09 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Deriglazov",
"A. A.",
""
]
] |
The Hamiltonization of local symmetries of the form $\delta q^A = \ea{R_a}^A(q,\dot q)$ or $\delta q^A = \dot\ea{R_a}^A (q,\dot q)$ for arbitrary Lagrangean model $L(q^A,\dot q^A)$ is considered. We show as the initial symmetries are transformed in the transition from $L$ to first order action, and then to the Hamiltonian action $S_H=\int{\rm d}\tau(p_A\dot q^A-H_0-v^\alpha\Phi_\alpha)$, where $\Phi_\alpha$ are the all (first and second class) primary constraints. An exact formulae for local symmetries of $S_H$ in terms of the initial generators ${R_a}^A$ and all primary constraints $\Phi_\alpha$ are obtained.
| 6.68097
| 6.369241
| 7.541255
| 6.960567
| 6.849398
| 6.093639
| 6.575821
| 6.485564
| 6.348792
| 7.966822
| 6.487842
| 6.301219
| 6.363518
| 6.119596
| 6.108911
| 6.112351
| 6.400978
| 6.103135
| 6.323454
| 6.534537
| 6.269569
|
hep-th/0403202
|
Saurya Das
|
Saurya Das
|
Black Hole Thermodynamics: Entropy, Information and Beyond
|
Plenary talk given at the Fifth International Conference on
Gravitation and Cosmology, Cochin, 7 January 2004. 13 pages, Revtex
|
Pramana63:797-816,2004
|
10.1007/BF02705201
| null |
hep-th gr-qc
| null |
We review some recent advances in black hole thermodynamics, including
statistical mechanical origins of black hole entropy and its leading order
corrections, from the viewpoints of various quantum gravity theories. We then
examine the information loss problem and some possible approaches to its
resolution. Finally, we study some proposed experiments which may be able to
provide experimental signatures of black holes.
|
[
{
"created": "Sat, 20 Mar 2004 22:01:36 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Das",
"Saurya",
""
]
] |
We review some recent advances in black hole thermodynamics, including statistical mechanical origins of black hole entropy and its leading order corrections, from the viewpoints of various quantum gravity theories. We then examine the information loss problem and some possible approaches to its resolution. Finally, we study some proposed experiments which may be able to provide experimental signatures of black holes.
| 10.28049
| 9.038536
| 8.81475
| 9.294514
| 9.391003
| 9.588236
| 9.66818
| 8.364985
| 9.261037
| 8.793027
| 9.223504
| 9.716326
| 9.016313
| 8.98598
| 9.640531
| 9.581044
| 9.879579
| 9.083345
| 9.553665
| 9.047693
| 9.369456
|
1507.00354
|
Netta Engelhardt
|
Netta Engelhardt and Sebastian Fischetti
|
Covariant Constraints on Hole-ography
|
26+4 pages, 16 figures; v2: references added, typos fixed
|
Class. Quantum Grav. 32 (2015) 195021
|
10.1088/0264-9381/32/19/195021
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Hole-ography is a prescription relating the areas of surfaces in an AdS bulk
to the differential entropy of a family of intervals in the dual CFT. In (2+1)
bulk dimensions, or in higher dimensions when the bulk features a sufficient
degree of symmetry, we prove that there are surfaces in the bulk that cannot be
completely reconstructed using known hole-ographic approaches, even if extremal
surfaces reach them. Such surfaces lie in easily identifiable regions: the
interiors of holographic screens. These screens admit a holographic
interpretation in terms of the Bousso bound. We speculate that this
incompleteness of the reconstruction is a form of coarse-graining, with the
missing information associated to the holographic screen. We comment on
perturbative quantum extensions of our classical results.
|
[
{
"created": "Wed, 1 Jul 2015 20:03:49 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Jul 2015 19:06:12 GMT",
"version": "v2"
}
] |
2015-09-21
|
[
[
"Engelhardt",
"Netta",
""
],
[
"Fischetti",
"Sebastian",
""
]
] |
Hole-ography is a prescription relating the areas of surfaces in an AdS bulk to the differential entropy of a family of intervals in the dual CFT. In (2+1) bulk dimensions, or in higher dimensions when the bulk features a sufficient degree of symmetry, we prove that there are surfaces in the bulk that cannot be completely reconstructed using known hole-ographic approaches, even if extremal surfaces reach them. Such surfaces lie in easily identifiable regions: the interiors of holographic screens. These screens admit a holographic interpretation in terms of the Bousso bound. We speculate that this incompleteness of the reconstruction is a form of coarse-graining, with the missing information associated to the holographic screen. We comment on perturbative quantum extensions of our classical results.
| 15.759291
| 14.287271
| 15.824702
| 13.101088
| 12.892403
| 12.809947
| 12.167443
| 12.465222
| 12.39918
| 14.579327
| 12.477583
| 11.881269
| 12.960183
| 12.180017
| 12.539115
| 12.096122
| 12.911681
| 12.217282
| 12.594667
| 12.817905
| 12.288691
|
1109.5182
|
Pascal Vaudrevange
|
Koushik Dutta, Pascal M. Vaudrevange, Alexander Westphal
|
The Overshoot Problem in Inflation after Tunneling
|
14 pages, 4 figures
|
JCAP 1201 (2012) 026
|
10.1088/1475-7516/2012/01/026
|
DESY 11-160
|
hep-th astro-ph.CO hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show the absence of the usual parametrically large overshoot problem of
small-field inflation if initiated by a Coleman-De Luccia (CDL) tunneling
transition from an earlier vacuum in the limit of small inflationary scale
compared to the tunneling scale. For low-power monomial exit potentials
$V(\phi)\sim\phi^n, n<4$, we derive an expression for the amount of overshoot.
This is bounded from above by the width of the steep barrier traversed after
emerging from tunneling and before reaching a slow-roll region of the
potential. For $n\geq 4$ we show that overshooting is entirely absent. We
extend this result through binomials to a general potential written as a series
expansion, and to the case of arbitrary finite initial speed of the inflaton.
This places the phase space of initial conditions for small-field and
large-field inflation on the same footing in a landscape of string theory vacua
populated via CDL tunneling.
|
[
{
"created": "Fri, 23 Sep 2011 20:00:09 GMT",
"version": "v1"
}
] |
2015-07-24
|
[
[
"Dutta",
"Koushik",
""
],
[
"Vaudrevange",
"Pascal M.",
""
],
[
"Westphal",
"Alexander",
""
]
] |
We show the absence of the usual parametrically large overshoot problem of small-field inflation if initiated by a Coleman-De Luccia (CDL) tunneling transition from an earlier vacuum in the limit of small inflationary scale compared to the tunneling scale. For low-power monomial exit potentials $V(\phi)\sim\phi^n, n<4$, we derive an expression for the amount of overshoot. This is bounded from above by the width of the steep barrier traversed after emerging from tunneling and before reaching a slow-roll region of the potential. For $n\geq 4$ we show that overshooting is entirely absent. We extend this result through binomials to a general potential written as a series expansion, and to the case of arbitrary finite initial speed of the inflaton. This places the phase space of initial conditions for small-field and large-field inflation on the same footing in a landscape of string theory vacua populated via CDL tunneling.
| 12.690125
| 13.316858
| 12.247602
| 11.060086
| 12.921776
| 12.448769
| 13.542099
| 13.346263
| 11.59704
| 13.615758
| 11.597239
| 11.844612
| 11.483474
| 11.400026
| 11.609055
| 11.424501
| 11.526284
| 11.716561
| 11.257795
| 12.091211
| 11.508938
|
hep-th/9710194
|
D. V. Antonov
|
D.V.Antonov (Humboldt University, Berlin and ITEP, Moscow)
|
't Hooft Loop Average in the Vicinity of the Londons' Limit and the
Quartic Cumulant of the Field Strength Tensors
|
5 pages, LaTeX, references are added
| null | null | null |
hep-th
| null |
The next-to-leading term in the weight factor of the string representation of
the 't Hooft loop average defined on the string world-sheet is found in the
Abelian Higgs Model near the Londons' limit. This term emerges due to the
finiteness of the coupling constant and, in contrast to the Londons' limit,
where only the bilocal cumulant in the expansion of the 't Hooft average
survived, leads to the appearance of the quartic cumulant. Apart from the
Londons' penetration depth of the vacuum, which was a typical fall-off scale of
the bilocal cumulant, the quartic cumulant depends also on the other
characteristic length of the Abelian Higgs Model, the correlation radius of the
Higgs field.
|
[
{
"created": "Sun, 26 Oct 1997 19:17:39 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Nov 1997 19:33:56 GMT",
"version": "v2"
},
{
"created": "Fri, 28 Nov 1997 18:00:51 GMT",
"version": "v3"
},
{
"created": "Wed, 17 Dec 1997 11:34:04 GMT",
"version": "v4"
}
] |
2007-05-23
|
[
[
"Antonov",
"D. V.",
"",
"Humboldt University, Berlin and ITEP, Moscow"
]
] |
The next-to-leading term in the weight factor of the string representation of the 't Hooft loop average defined on the string world-sheet is found in the Abelian Higgs Model near the Londons' limit. This term emerges due to the finiteness of the coupling constant and, in contrast to the Londons' limit, where only the bilocal cumulant in the expansion of the 't Hooft average survived, leads to the appearance of the quartic cumulant. Apart from the Londons' penetration depth of the vacuum, which was a typical fall-off scale of the bilocal cumulant, the quartic cumulant depends also on the other characteristic length of the Abelian Higgs Model, the correlation radius of the Higgs field.
| 11.09636
| 10.06901
| 10.600242
| 9.458732
| 10.511348
| 11.402845
| 10.350953
| 11.329983
| 9.719347
| 11.971667
| 10.668101
| 10.50423
| 9.671613
| 9.85288
| 10.621226
| 10.417043
| 10.442971
| 10.31742
| 10.466292
| 9.801991
| 10.772525
|
1012.2906
|
Stephen D. H. Hsu
|
Stephen D.H. Hsu
|
Physical consequences of the QED theta angle
|
4 pages, latex, 1 figure
| null | null | null |
hep-th hep-ph quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We describe a simple gedanken experiment which illustrates the physical
effects of the QED theta angle, a fundamental parameter of Nature that has yet
to be measured. The effects are manifest in quantum phases analogous to those
in the Aharonov-Bohm effect, although they are not intrinsically topological.
We also derive the quantum phases using a functional Schrodinger approach, and
generalize the results to non-Abelian gauge theories.
|
[
{
"created": "Tue, 14 Dec 2010 00:13:29 GMT",
"version": "v1"
}
] |
2010-12-15
|
[
[
"Hsu",
"Stephen D. H.",
""
]
] |
We describe a simple gedanken experiment which illustrates the physical effects of the QED theta angle, a fundamental parameter of Nature that has yet to be measured. The effects are manifest in quantum phases analogous to those in the Aharonov-Bohm effect, although they are not intrinsically topological. We also derive the quantum phases using a functional Schrodinger approach, and generalize the results to non-Abelian gauge theories.
| 9.149575
| 8.99805
| 7.852939
| 7.368663
| 7.362939
| 8.387922
| 7.633486
| 8.494034
| 8.081499
| 9.178437
| 9.046792
| 8.79841
| 8.234264
| 8.215652
| 8.033077
| 8.355165
| 8.464785
| 8.470187
| 8.262442
| 8.279199
| 8.597304
|
hep-th/9311162
|
Mark de Wild Propitius
|
F.A. Bais and M. de Wild Propitius
|
Quantumgroups in the Higgs Phase
|
19 pages in Latex, ITFA-93-30
|
Theor.Math.Phys. 98 (1994) 357-367; Teor.Mat.Fiz. 98 (1994)
509-523
|
10.1007/BF01102213
| null |
hep-th
| null |
In the Higgs phase we may be left with a residual finite symmetry group H of
the condensate. The topological interactions between the magnetic- and electric
excitations in these so-called discrete H gauge theories are completely
described by the Hopf algebra or quantumgroup D(H). In 2+1 dimensional space
time we may add a Chern-Simons term to such a model. This deforms the
underlying Hopf algebra D(H) into a quasi-Hopf algebra by means of a 3-cocycle
H. Consequently, the finite number of physically inequivalent discrete H gauge
theories obtained in this way are labelled by the elements of the cohomology
group H^3(H,U(1)). We briefly review the above results in these notes. Special
attention is given to the Coulomb screening mechanism operational in the Higgs
phase. This mechanism screens the Coulomb interactions, but not the
Aharonov-Bohm interactions. (Invited talk given by Mark de Wild Propitius at
`The III International Conference on Mathematical Physics, String Theory and
Quantum Gravity', Alushta, Ukraine, June 13-24, 1993. To be published in Theor.
Math. Phys.)
|
[
{
"created": "Sun, 28 Nov 1993 17:45:41 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Bais",
"F. A.",
""
],
[
"Propitius",
"M. de Wild",
""
]
] |
In the Higgs phase we may be left with a residual finite symmetry group H of the condensate. The topological interactions between the magnetic- and electric excitations in these so-called discrete H gauge theories are completely described by the Hopf algebra or quantumgroup D(H). In 2+1 dimensional space time we may add a Chern-Simons term to such a model. This deforms the underlying Hopf algebra D(H) into a quasi-Hopf algebra by means of a 3-cocycle H. Consequently, the finite number of physically inequivalent discrete H gauge theories obtained in this way are labelled by the elements of the cohomology group H^3(H,U(1)). We briefly review the above results in these notes. Special attention is given to the Coulomb screening mechanism operational in the Higgs phase. This mechanism screens the Coulomb interactions, but not the Aharonov-Bohm interactions. (Invited talk given by Mark de Wild Propitius at `The III International Conference on Mathematical Physics, String Theory and Quantum Gravity', Alushta, Ukraine, June 13-24, 1993. To be published in Theor. Math. Phys.)
| 8.674456
| 8.257281
| 10.496174
| 8.484139
| 8.952518
| 8.422618
| 8.468156
| 8.388457
| 8.499117
| 10.886188
| 7.679842
| 7.950858
| 8.751912
| 8.087583
| 8.094952
| 7.983834
| 8.138351
| 8.127863
| 8.165451
| 8.752819
| 7.918141
|
0912.2352
|
Vasilis Niarchos
|
Roberto Emparan, Troels Harmark, Vasilis Niarchos and Niels A. Obers
|
New Horizons for Black Holes and Branes
|
54 pages, 7 figures; v2 added references, added comments in the
subsection discussing the physical properties of helical black rings; v3
added references, fixed minor typos
|
JHEP 1004:046,2010
|
10.1007/JHEP04(2010)046
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We initiate a systematic scan of the landscape of black holes in any
spacetime dimension using the recently proposed blackfold effective worldvolume
theory. We focus primarily on asymptotically flat stationary vacuum solutions,
where we uncover large classes of new black holes. These include helical black
strings and black rings, black odd-spheres, for which the horizon is a product
of a large and a small sphere, and non-uniform black cylinders. More exotic
possibilities are also outlined. The blackfold description recovers correctly
the ultraspinning Myers-Perry black holes as ellipsoidal even-ball
configurations where the velocity field approaches the speed of light at the
boundary of the ball. Helical black ring solutions provide the first instance
of asymptotically flat black holes in more than four dimensions with a single
spatial U(1) isometry. They also imply infinite rational non-uniqueness in
ultraspinning regimes, where they maximize the entropy among all stationary
single-horizon solutions. Moreover, static blackfolds are possible with the
geometry of minimal surfaces. The absence of compact embedded minimal surfaces
in Euclidean space is consistent with the uniqueness theorem of static black
holes.
|
[
{
"created": "Mon, 14 Dec 2009 15:15:36 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Dec 2009 18:28:02 GMT",
"version": "v2"
},
{
"created": "Sat, 3 Apr 2010 12:48:52 GMT",
"version": "v3"
}
] |
2015-03-13
|
[
[
"Emparan",
"Roberto",
""
],
[
"Harmark",
"Troels",
""
],
[
"Niarchos",
"Vasilis",
""
],
[
"Obers",
"Niels A.",
""
]
] |
We initiate a systematic scan of the landscape of black holes in any spacetime dimension using the recently proposed blackfold effective worldvolume theory. We focus primarily on asymptotically flat stationary vacuum solutions, where we uncover large classes of new black holes. These include helical black strings and black rings, black odd-spheres, for which the horizon is a product of a large and a small sphere, and non-uniform black cylinders. More exotic possibilities are also outlined. The blackfold description recovers correctly the ultraspinning Myers-Perry black holes as ellipsoidal even-ball configurations where the velocity field approaches the speed of light at the boundary of the ball. Helical black ring solutions provide the first instance of asymptotically flat black holes in more than four dimensions with a single spatial U(1) isometry. They also imply infinite rational non-uniqueness in ultraspinning regimes, where they maximize the entropy among all stationary single-horizon solutions. Moreover, static blackfolds are possible with the geometry of minimal surfaces. The absence of compact embedded minimal surfaces in Euclidean space is consistent with the uniqueness theorem of static black holes.
| 12.405864
| 14.585109
| 14.793504
| 13.348298
| 14.107944
| 14.333519
| 14.228331
| 13.920503
| 13.369234
| 15.491178
| 12.881659
| 13.16388
| 12.439141
| 12.618324
| 12.666503
| 12.974676
| 12.867988
| 12.09165
| 12.877965
| 12.66387
| 12.701526
|
2010.10500
|
Herbert Hamber
|
Herbert W. Hamber and Lu Heng Sunny Yu
|
Dyson's Equations for Quantum Gravity in the Hartree-Fock Approximation
|
71 pages, 21 figures. More typos fixed, references added
|
Conforms to published version in Symmetry Jan 2021
|
10.3390/sym1010000
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Unlike scalar and gauge field theories in four dimensions, gravity is not
perturbatively renormalizable and as a result perturbation theory is badly
divergent. Often the method of choice for investigating nonperturbative effects
has been the lattice formulation, and in the case of gravity the Regge-Wheeler
lattice path integral lends itself well for that purpose. Nevertheless, lattice
methods ultimately rely on extensive numerical calculations, leaving a desire
for alternate calculations that can be done analytically. In this work we
outline the Hartree-Fock approximation to quantum gravity, along lines which
are analogous to what is done for scalar fields and gauge theories. The
starting point is Dyson's equations, a closed set of integral equations which
relate various physical amplitudes involving graviton propagators, vertex
functions and proper self-energies. Such equations are in general difficult to
solve, and as a result not very useful in practice, but nevertheless provide a
basis for subsequent approximations. This is where the Hartree-Fock
approximation comes in, whereby lowest order diagrams get partially dressed by
the use of fully interacting Green's function and self-energies, which then
lead to a set of self-consistent integral equations. Specifically, for quantum
gravity one finds a nontrivial ultraviolet fixed point in Newton's constant G
for spacetime dimensions greater than two, and nontrivial scaling dimensions
between d=2 and d=4, above which one obtains Gaussian exponents. In addition,
the Hartree-Fock approximation gives an explicit analytic expression for the
renormalization group running of Newton's constant, suggesting gravitational
antiscreening with Newton's G slowly increasing on cosmological scales.
|
[
{
"created": "Tue, 20 Oct 2020 17:54:00 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Nov 2020 21:06:56 GMT",
"version": "v2"
},
{
"created": "Fri, 8 Jan 2021 19:01:47 GMT",
"version": "v3"
}
] |
2021-01-12
|
[
[
"Hamber",
"Herbert W.",
""
],
[
"Yu",
"Lu Heng Sunny",
""
]
] |
Unlike scalar and gauge field theories in four dimensions, gravity is not perturbatively renormalizable and as a result perturbation theory is badly divergent. Often the method of choice for investigating nonperturbative effects has been the lattice formulation, and in the case of gravity the Regge-Wheeler lattice path integral lends itself well for that purpose. Nevertheless, lattice methods ultimately rely on extensive numerical calculations, leaving a desire for alternate calculations that can be done analytically. In this work we outline the Hartree-Fock approximation to quantum gravity, along lines which are analogous to what is done for scalar fields and gauge theories. The starting point is Dyson's equations, a closed set of integral equations which relate various physical amplitudes involving graviton propagators, vertex functions and proper self-energies. Such equations are in general difficult to solve, and as a result not very useful in practice, but nevertheless provide a basis for subsequent approximations. This is where the Hartree-Fock approximation comes in, whereby lowest order diagrams get partially dressed by the use of fully interacting Green's function and self-energies, which then lead to a set of self-consistent integral equations. Specifically, for quantum gravity one finds a nontrivial ultraviolet fixed point in Newton's constant G for spacetime dimensions greater than two, and nontrivial scaling dimensions between d=2 and d=4, above which one obtains Gaussian exponents. In addition, the Hartree-Fock approximation gives an explicit analytic expression for the renormalization group running of Newton's constant, suggesting gravitational antiscreening with Newton's G slowly increasing on cosmological scales.
| 9.377124
| 10.075627
| 10.324524
| 9.570362
| 10.222205
| 10.26945
| 10.160633
| 10.091595
| 9.61856
| 9.630956
| 9.926103
| 9.28228
| 9.504379
| 9.320652
| 9.409488
| 9.242112
| 9.245497
| 9.25417
| 9.333169
| 9.405051
| 9.176457
|
0904.0559
|
Frank Ferrari
|
Frank Ferrari and Vincent Wens (U. Libre de Bruxelles and Intl. Solvay
Inst.)
|
Flavors in the microscopic approach to N=1 gauge theories
|
20 pages, 1 figure; v2: typos corrected, refs added
|
JHEP 0905:124,2009
|
10.1088/1126-6708/2009/05/124
|
LPTENS-09/06
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note, we solve an extended version of the N=1 super Yang-Mills theory
with gauge group U(N), an adjoint chiral multiplet and Nf flavors of quarks, by
using the N=1 microscopic formalism based on Nekrasov's sums over colored
partitions. Our main new result is the computation of the general mesonic
operators. We prove that the generalized Konishi anomaly equations with flavors
are satisfied at the non-perturbative level. This yields in particular a
microscopic, first principle derivation of the matrix model disk diagram
contributions that must be included in the Dijkgraaf-Vafa approach.
|
[
{
"created": "Fri, 3 Apr 2009 12:11:46 GMT",
"version": "v1"
},
{
"created": "Wed, 27 May 2009 14:43:20 GMT",
"version": "v2"
}
] |
2010-12-17
|
[
[
"Ferrari",
"Frank",
"",
"U. Libre de Bruxelles and Intl. Solvay\n Inst."
],
[
"Wens",
"Vincent",
"",
"U. Libre de Bruxelles and Intl. Solvay\n Inst."
]
] |
In this note, we solve an extended version of the N=1 super Yang-Mills theory with gauge group U(N), an adjoint chiral multiplet and Nf flavors of quarks, by using the N=1 microscopic formalism based on Nekrasov's sums over colored partitions. Our main new result is the computation of the general mesonic operators. We prove that the generalized Konishi anomaly equations with flavors are satisfied at the non-perturbative level. This yields in particular a microscopic, first principle derivation of the matrix model disk diagram contributions that must be included in the Dijkgraaf-Vafa approach.
| 11.473923
| 9.255892
| 12.947647
| 9.032664
| 9.827835
| 9.355086
| 9.504755
| 9.589869
| 8.77319
| 13.044512
| 8.917966
| 10.67606
| 11.039821
| 10.423603
| 10.505432
| 10.764654
| 10.432883
| 10.264435
| 10.746585
| 11.187763
| 10.058794
|
hep-th/9209063
| null |
M. Temple-Raston and D. Alexander
|
Differential cross-sections and escape plots for low energy $SU(2)$ BPS
magnetic monopole dynamics
|
21 pages, TeX (3 figs., 1 Table, and 2 colour plates available upon
request), Con-92-3
|
Nucl.Phys. B397 (1993) 195-213
|
10.1016/0550-3213(93)90341-L
| null |
hep-th
| null |
We compute the low-energy classical differential scattering cross-section for
BPS $SU(2)$ magnetic monopoles using the geodesic approximation to the actual
dynamics and 16K parallel processors on a CM2. Numerical experiments suggest
that the quantum BPS magnetic monopole differential cross-section is
well-approximated by the classical BPS magnetic monopole differential
cross-section. In particular, the expected quantum interference effects for
bosons at scattering angle $\theta=\pi/2$ (CoM frame) are contradicted
numerically. We argue that this is due to the topology of the classical
configuration space for these solitons. We also study the scattering and
bounded classical motions of BPS dyons and their global structure in phase
space by constructing `escape plots'. The escape plots contain a surprising
amount of structure, and suggest that the classical dynamics of two BPS $SU(2)$
magnetic monopoles is chaotic and that there are closed and bounded two dyon
motions with isolated energies.
|
[
{
"created": "Thu, 17 Sep 1992 17:17:00 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Temple-Raston",
"M.",
""
],
[
"Alexander",
"D.",
""
]
] |
We compute the low-energy classical differential scattering cross-section for BPS $SU(2)$ magnetic monopoles using the geodesic approximation to the actual dynamics and 16K parallel processors on a CM2. Numerical experiments suggest that the quantum BPS magnetic monopole differential cross-section is well-approximated by the classical BPS magnetic monopole differential cross-section. In particular, the expected quantum interference effects for bosons at scattering angle $\theta=\pi/2$ (CoM frame) are contradicted numerically. We argue that this is due to the topology of the classical configuration space for these solitons. We also study the scattering and bounded classical motions of BPS dyons and their global structure in phase space by constructing `escape plots'. The escape plots contain a surprising amount of structure, and suggest that the classical dynamics of two BPS $SU(2)$ magnetic monopoles is chaotic and that there are closed and bounded two dyon motions with isolated energies.
| 12.481792
| 13.903242
| 13.570502
| 12.209155
| 12.232438
| 13.147032
| 13.187493
| 12.861724
| 12.723527
| 14.456427
| 12.30961
| 12.152093
| 12.388557
| 12.02447
| 12.121548
| 11.791125
| 11.741004
| 12.06894
| 12.253326
| 12.52073
| 11.799604
|
hep-th/9509034
|
Jouko Mickelsson
|
E. Langmann and J. Mickelsson
|
Scattering matrix in external field problems
|
AmsTex file (uses amstex.tex and amsppt.sty) 22 ouput pages
|
J.Math.Phys. 37 (1996) 3933-3953
|
10.1063/1.531609
| null |
hep-th
| null |
We discuss several aspects of second quantized scattering operators $\hat S$
for fermions in external time dependent fields. We derive our results on a
general, abstract level having in mind as a main application potentials of the
Yang--Mills type and in various dimensions. We present a new and powerful
method for proving existence of $\hat S$ which is also applicable to other
situations like external gravitational fields. We also give two complementary
derivations of the change of phase of the scattering matrix under generalized
gauge transformations which can be used whenever our method of proving
existence of $\hat S$ applies. The first is based on a causality argument i.e.\
$\hat S$ (including phase) is determined from a time evolution, and the second
exploits the geometry of certain infinite-dimensional group extensions
associated with the second quantization of 1-particle operators. As a special
case we obtain a Hamiltonian derivation of the the axial Fermion-Yang-Mills
anomaly and the Schwinger terms related to it via the descent equations, which
is on the same footing and traces them back to a common root.
|
[
{
"created": "Thu, 7 Sep 1995 14:58:21 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Langmann",
"E.",
""
],
[
"Mickelsson",
"J.",
""
]
] |
We discuss several aspects of second quantized scattering operators $\hat S$ for fermions in external time dependent fields. We derive our results on a general, abstract level having in mind as a main application potentials of the Yang--Mills type and in various dimensions. We present a new and powerful method for proving existence of $\hat S$ which is also applicable to other situations like external gravitational fields. We also give two complementary derivations of the change of phase of the scattering matrix under generalized gauge transformations which can be used whenever our method of proving existence of $\hat S$ applies. The first is based on a causality argument i.e.\ $\hat S$ (including phase) is determined from a time evolution, and the second exploits the geometry of certain infinite-dimensional group extensions associated with the second quantization of 1-particle operators. As a special case we obtain a Hamiltonian derivation of the the axial Fermion-Yang-Mills anomaly and the Schwinger terms related to it via the descent equations, which is on the same footing and traces them back to a common root.
| 14.742442
| 14.307073
| 15.25874
| 13.856565
| 14.991127
| 14.969879
| 15.197705
| 14.464414
| 14.785936
| 15.971797
| 14.099397
| 14.440311
| 14.318515
| 14.039155
| 14.435877
| 14.318224
| 14.49743
| 13.790081
| 14.297176
| 14.973434
| 14.317282
|
hep-th/9205044
|
Kuramoto
|
T. Kuramoto
|
Quantum Hamiltonian Reduction of Super Kac-Moody Algebra II
|
16 pages
|
Nucl.Phys. B411 (1994) 821-838
|
10.1016/0550-3213(94)90472-3
|
YNUE-PH-92-01
|
hep-th
| null |
The quantum Hamiltonian reduction on the OSp(1,2) super Kac-Moody algebra is
described in the BRST formalism. Using a free field representation of the KM
currents, the super Kac-Moody algebra is shown to be reduced to a
superconformal one via the Hamiltonian reduction. This reduction is manifestly
supersymmetric because of supersymmetric constraints imposed on the algebra.
|
[
{
"created": "Fri, 15 May 1992 06:18:42 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Kuramoto",
"T.",
""
]
] |
The quantum Hamiltonian reduction on the OSp(1,2) super Kac-Moody algebra is described in the BRST formalism. Using a free field representation of the KM currents, the super Kac-Moody algebra is shown to be reduced to a superconformal one via the Hamiltonian reduction. This reduction is manifestly supersymmetric because of supersymmetric constraints imposed on the algebra.
| 9.635818
| 9.348589
| 11.501386
| 8.054808
| 8.082339
| 8.764833
| 8.91003
| 7.674754
| 7.871468
| 12.814132
| 8.181997
| 8.676147
| 9.570521
| 8.627914
| 8.148326
| 8.463998
| 8.006734
| 8.615427
| 8.254101
| 9.539349
| 8.056185
|
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