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2.01k
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|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2206.14146
|
Dionysios Anninos
|
Dionysios Anninos, Dami\'an A. Galante, and Beatrix M\"uhlmann
|
Finite Features of Quantum De Sitter Space
|
20 pages plus appendices, published version including introduction +
comment on fluid/gravity picture
| null |
10.1088/1361-6382/acaba5
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We consider degrees of freedom for a quantum de Sitter spacetime. The problem
is studied from both a Lorentzian and a Euclidean perspective. From a
Lorentzian perspective, we compute dynamical properties of the static patch de
Sitter horizon. These are compared to dynamical features of black holes. We
point out differences suggestive of non-standard thermal behaviour for the de
Sitter horizon. We establish that geometries interpolating between an
asymptotically AdS$_2 \times S^2$ space and a dS$_4$ interior are compatible
with the null energy condition, albeit with a non-standard decreasing radial
size of $S^2$. The putative holographic dual of an asymptotic AdS$_2$ spacetime
is comprised of a finite number of degrees of freedom. From a Euclidean
perspective we consider the gravitational path integral for fields over compact
manifolds. In two-dimensions, we review Polchinski's BRST localisation of
Liouville theory and propose a supersymmetric extension of timelike Liouville
theory which exhibits supersymmetric localisation. We speculate that
localisation of the Euclidean gravitational path integral is a reflection of a
finite number of degrees of freedom in a quantum de Sitter universe.
|
[
{
"created": "Tue, 28 Jun 2022 16:58:42 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Jan 2023 13:20:32 GMT",
"version": "v2"
}
] |
2023-01-31
|
[
[
"Anninos",
"Dionysios",
""
],
[
"Galante",
"Damián A.",
""
],
[
"Mühlmann",
"Beatrix",
""
]
] |
We consider degrees of freedom for a quantum de Sitter spacetime. The problem is studied from both a Lorentzian and a Euclidean perspective. From a Lorentzian perspective, we compute dynamical properties of the static patch de Sitter horizon. These are compared to dynamical features of black holes. We point out differences suggestive of non-standard thermal behaviour for the de Sitter horizon. We establish that geometries interpolating between an asymptotically AdS$_2 \times S^2$ space and a dS$_4$ interior are compatible with the null energy condition, albeit with a non-standard decreasing radial size of $S^2$. The putative holographic dual of an asymptotic AdS$_2$ spacetime is comprised of a finite number of degrees of freedom. From a Euclidean perspective we consider the gravitational path integral for fields over compact manifolds. In two-dimensions, we review Polchinski's BRST localisation of Liouville theory and propose a supersymmetric extension of timelike Liouville theory which exhibits supersymmetric localisation. We speculate that localisation of the Euclidean gravitational path integral is a reflection of a finite number of degrees of freedom in a quantum de Sitter universe.
| 8.500217
| 8.43035
| 9.026346
| 8.223909
| 8.389462
| 8.668642
| 8.468966
| 8.231833
| 8.432749
| 9.541157
| 8.183965
| 8.126755
| 8.475098
| 8.130925
| 8.335074
| 8.272584
| 8.288545
| 8.170473
| 8.313318
| 8.720188
| 8.525249
|
0906.4464
|
Kiyoshi Kamimura
|
Joaquim Gomis, Kiyoshi Kamimura and Jerzy Lukierski
|
Deformations of Maxwell algebra and their Dynamical Realizations
|
29 pages 1 figure
|
JHEP 0908:039,2009
|
10.1088/1126-6708/2009/08/039
|
ICCUB-09-210, UB-ECM-PF09/16, Toho-CP-0990
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study all possible deformations of the Maxwell algebra. In D=d+1\neq 3
dimensions there is only one-parameter deformation. The deformed algebra is
isomorphic to so(d+1,1)\oplus so(d,1) or to so(d,2)\oplus so(d,1) depending on
the signs of the deformation parameter. We construct in the dS(AdS) space a
model of massive particle interacting with Abelian vector field via non-local
Lorentz force. In D=2+1 the deformations depend on two parameters b and k. We
construct a phase diagram, with two parts of the (b,k) plane with so(3,1)\oplus
so(2,1) and so(2,2)\oplus so(2,1) algebras separated by a critical curve along
which the algebra is isomorphic to Iso(2,1)\oplus so(2,1). We introduce in
D=2+1 the Volkov-Akulov type model for a Abelian Goldstone-Nambu vector field
described by a non-linear action containing as its bilinear term the free
Chern-Simons Lagrangean.
|
[
{
"created": "Wed, 24 Jun 2009 12:41:04 GMT",
"version": "v1"
}
] |
2009-09-24
|
[
[
"Gomis",
"Joaquim",
""
],
[
"Kamimura",
"Kiyoshi",
""
],
[
"Lukierski",
"Jerzy",
""
]
] |
We study all possible deformations of the Maxwell algebra. In D=d+1\neq 3 dimensions there is only one-parameter deformation. The deformed algebra is isomorphic to so(d+1,1)\oplus so(d,1) or to so(d,2)\oplus so(d,1) depending on the signs of the deformation parameter. We construct in the dS(AdS) space a model of massive particle interacting with Abelian vector field via non-local Lorentz force. In D=2+1 the deformations depend on two parameters b and k. We construct a phase diagram, with two parts of the (b,k) plane with so(3,1)\oplus so(2,1) and so(2,2)\oplus so(2,1) algebras separated by a critical curve along which the algebra is isomorphic to Iso(2,1)\oplus so(2,1). We introduce in D=2+1 the Volkov-Akulov type model for a Abelian Goldstone-Nambu vector field described by a non-linear action containing as its bilinear term the free Chern-Simons Lagrangean.
| 6.900554
| 4.940328
| 7.530362
| 5.327329
| 5.000507
| 5.039311
| 5.089673
| 4.942235
| 5.20786
| 7.134014
| 5.408285
| 6.134178
| 6.813556
| 6.21908
| 6.128218
| 6.274153
| 6.090135
| 6.249467
| 6.206652
| 6.951512
| 6.070773
|
2309.01831
|
Oliver Janssen
|
Naomi Gendler, Oliver Janssen, Matthew Kleban, Joan La Madrid and
Viraf M. Mehta
|
Axion minima in string theory
|
14+6 pages, 1 figure
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We study the landscape of axion theories in compactifications of type IIB
string theory on orientifolds of Calabi-Yau threefolds. In a sample of
approximately 400,000 geometries we find that in the regime of perturbative
control there are only a handful of distinct axion minima per geometry, despite
there being infinitely many instanton contributions to the potential with
unbounded charges. The ensemble we consider has numbers of axion fields ranging
from 1 to 491, but the median number of distinct minima is 1, the mean number
is 1.9 and the largest is 54. These small numbers of minima occur because the
leading axion charge matrix is quite sparse, while the subleading corrections
are increasingly exponentially suppressed as the charges increase. On their
own, such potentials are nowhere near rich enough to be of interest
anthropically. This is in stark contrast to potentials for which the charge
matrix is less sparse or the hierarchies between the instanton contributions
are less steep, where one can find $\mathcal{O}(10^{500})$ minima for
$\mathcal{O}(500)$ axions. To generate a sufficiently large landscape from
string compactifications our results indicate that one would need to rely on
varying flux or topology, or to develop tools that allow one to go beyond the
regime we can control with current techniques.
|
[
{
"created": "Mon, 4 Sep 2023 21:47:06 GMT",
"version": "v1"
}
] |
2023-09-06
|
[
[
"Gendler",
"Naomi",
""
],
[
"Janssen",
"Oliver",
""
],
[
"Kleban",
"Matthew",
""
],
[
"La Madrid",
"Joan",
""
],
[
"Mehta",
"Viraf M.",
""
]
] |
We study the landscape of axion theories in compactifications of type IIB string theory on orientifolds of Calabi-Yau threefolds. In a sample of approximately 400,000 geometries we find that in the regime of perturbative control there are only a handful of distinct axion minima per geometry, despite there being infinitely many instanton contributions to the potential with unbounded charges. The ensemble we consider has numbers of axion fields ranging from 1 to 491, but the median number of distinct minima is 1, the mean number is 1.9 and the largest is 54. These small numbers of minima occur because the leading axion charge matrix is quite sparse, while the subleading corrections are increasingly exponentially suppressed as the charges increase. On their own, such potentials are nowhere near rich enough to be of interest anthropically. This is in stark contrast to potentials for which the charge matrix is less sparse or the hierarchies between the instanton contributions are less steep, where one can find $\mathcal{O}(10^{500})$ minima for $\mathcal{O}(500)$ axions. To generate a sufficiently large landscape from string compactifications our results indicate that one would need to rely on varying flux or topology, or to develop tools that allow one to go beyond the regime we can control with current techniques.
| 9.163929
| 9.52212
| 10.515167
| 8.943027
| 9.575421
| 9.565558
| 9.494591
| 8.903876
| 8.784092
| 11.238091
| 8.59397
| 8.663733
| 9.448606
| 8.920299
| 9.169225
| 8.822281
| 8.777434
| 8.726524
| 8.992993
| 9.322417
| 8.682945
|
1006.0376
|
Stefano Bellucci
|
Stefano Bellucci, Sergey Krivonos and Anton Sutulin
|
SU(2) reductions in N=4 multidimensional supersymmetric mechanics
|
11 pages, LaTeX file, no figures; 3 references added, minor
corrections
|
J. Phys. A: Math. Theor. 45 (2012) 125402
|
10.1088/1751-8113/45/12/125402
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We perform an su(2) Hamiltonian reduction in the bosonic sector of the
su(2)-invariant action for two free (4, 4, 0) supermultiplets. As a result, we
get the five dimensional N=4 supersymmetric mechanics describing the motion of
an isospin carrying particle interacting with a Yang monopole. We provide the
Lagrangian and Hamiltonian descriptions of this system. Some possible
generalizations of the action to the cases of systems with a more general
bosonic action, a four-dimensional system which still includes eight fermionic
components, and a variant of five-dimensional N=4 mechanics constructed with
the help of the ordinary and twisted N=4 hypermultiplets were also considered.
|
[
{
"created": "Wed, 2 Jun 2010 13:47:36 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Dec 2010 15:37:10 GMT",
"version": "v2"
},
{
"created": "Mon, 28 Nov 2011 15:03:24 GMT",
"version": "v3"
}
] |
2015-05-19
|
[
[
"Bellucci",
"Stefano",
""
],
[
"Krivonos",
"Sergey",
""
],
[
"Sutulin",
"Anton",
""
]
] |
We perform an su(2) Hamiltonian reduction in the bosonic sector of the su(2)-invariant action for two free (4, 4, 0) supermultiplets. As a result, we get the five dimensional N=4 supersymmetric mechanics describing the motion of an isospin carrying particle interacting with a Yang monopole. We provide the Lagrangian and Hamiltonian descriptions of this system. Some possible generalizations of the action to the cases of systems with a more general bosonic action, a four-dimensional system which still includes eight fermionic components, and a variant of five-dimensional N=4 mechanics constructed with the help of the ordinary and twisted N=4 hypermultiplets were also considered.
| 10.208795
| 7.790814
| 12.582863
| 8.28609
| 8.067558
| 8.252191
| 7.96804
| 7.864321
| 8.063945
| 13.075091
| 8.743826
| 9.723654
| 11.345218
| 9.862465
| 9.444298
| 9.622909
| 9.765773
| 9.738857
| 9.576104
| 11.065222
| 9.582285
|
2110.15955
|
Pietro Benetti Genolini
|
Pietro Benetti Genolini
|
Wrapped $M5$-branes and complex saddle points
|
44 pages; v2: references added, revised argument in section 4
|
JHEP 2022, 181 (2022)
|
10.1007/JHEP01(2022)181
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the effects of the introduction of a $\vartheta$ term in minimal
gauged supergravity in four dimensions. We show why this term is not present in
supergravity duals of field theories arising on wrapped $M2$-branes, but is
there in the case of $M5$-branes wrapping hyperbolic manifolds $\Sigma_3$, and
compute the higher-derivative corrections. Having proved that the on-shell
supergravity action of any supersymmetric solution can be expressed in terms of
data from the fixed points of a Killing vector, we show that it is proportional
to a complex topological invariant of $\Sigma_3$. This is consistent with the
characteristics of the dual three-dimensional $\mathcal{N}=2$ SCFT predicted by
the $3d$-$3d$ correspondence, and we match the large $N$ limit of its partition
functions in the known cases.
|
[
{
"created": "Fri, 29 Oct 2021 17:58:27 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Feb 2022 11:00:50 GMT",
"version": "v2"
}
] |
2022-02-03
|
[
[
"Genolini",
"Pietro Benetti",
""
]
] |
We study the effects of the introduction of a $\vartheta$ term in minimal gauged supergravity in four dimensions. We show why this term is not present in supergravity duals of field theories arising on wrapped $M2$-branes, but is there in the case of $M5$-branes wrapping hyperbolic manifolds $\Sigma_3$, and compute the higher-derivative corrections. Having proved that the on-shell supergravity action of any supersymmetric solution can be expressed in terms of data from the fixed points of a Killing vector, we show that it is proportional to a complex topological invariant of $\Sigma_3$. This is consistent with the characteristics of the dual three-dimensional $\mathcal{N}=2$ SCFT predicted by the $3d$-$3d$ correspondence, and we match the large $N$ limit of its partition functions in the known cases.
| 8.078421
| 7.787035
| 9.35588
| 7.689481
| 8.021381
| 8.245605
| 8.350052
| 8.05861
| 7.583591
| 10.104604
| 7.762689
| 7.618938
| 9.037293
| 7.801107
| 7.963767
| 7.729489
| 7.876933
| 7.776591
| 7.871228
| 8.922556
| 7.771048
|
hep-th/9410122
|
Young Jai Park
|
Chang-Ho Kim, Young-Jai Park, Kee Yong Kim, and Yongduk Kim
|
Successive Superalgebraic Truncations from the Four-Dimensional Maximal
Supergravity
|
25pages, SOGANG-HEP 193/94
|
Mod.Phys.Lett.A10:1929-1948,1995
|
10.1142/S0217732395002088
| null |
hep-th
| null |
We study the four-dimensional {\it N}=8 maximal supergravity in the context
of Lie superalgebra SU(8/1). All possible successive superalgebraic truncations
from four-dimensional {\it N}=8 theory to {\it N}=7, 6, $\cdots$, 1
supergravity theories are systematically realized as sub-superalgebra chains of
SU(8/1) by using the Kac-Dynkin weight techniques.
|
[
{
"created": "Tue, 18 Oct 1994 05:58:31 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Kim",
"Chang-Ho",
""
],
[
"Park",
"Young-Jai",
""
],
[
"Kim",
"Kee Yong",
""
],
[
"Kim",
"Yongduk",
""
]
] |
We study the four-dimensional {\it N}=8 maximal supergravity in the context of Lie superalgebra SU(8/1). All possible successive superalgebraic truncations from four-dimensional {\it N}=8 theory to {\it N}=7, 6, $\cdots$, 1 supergravity theories are systematically realized as sub-superalgebra chains of SU(8/1) by using the Kac-Dynkin weight techniques.
| 10.348828
| 5.98922
| 11.680606
| 6.619111
| 7.801331
| 5.614591
| 5.513008
| 6.801383
| 6.685741
| 13.811214
| 7.613637
| 8.274046
| 10.739109
| 8.712188
| 8.730234
| 8.646098
| 8.708772
| 8.712443
| 8.303893
| 9.42381
| 9.493459
|
hep-th/0407169
|
Hugo Garcia-Compean
|
H. Garcia-Compean, G. Garcia-Jimenez, O. Obregon, C. Ramirez
|
Towards SDp-brane Quantization
|
15 pages, 3 eps figures, revtex4
| null |
10.1103/PhysRevD.71.063517
|
CINVESTAV-FIS-29/04
|
hep-th
| null |
The quantum mechanical analysis of the canonical hamiltonian description of
the effective action of a SDp-brane in bosonic ten dimensional Type II
supergravity in a homogeneous background is given. We find exact solutions for
the corresponding quantum theory by solving the Wheeler-deWitt equation in the
late-time limit of the rolling tachyon. The probability densities for several
values of p are shown and their possible interpretation is discussed. In the
process the effects of electromagnetic fields are also incorporated and it is
shown that in this case the interpretation of tachyon regarded as ``matter
clock'' is modified.
|
[
{
"created": "Tue, 20 Jul 2004 13:25:38 GMT",
"version": "v1"
}
] |
2013-05-29
|
[
[
"Garcia-Compean",
"H.",
""
],
[
"Garcia-Jimenez",
"G.",
""
],
[
"Obregon",
"O.",
""
],
[
"Ramirez",
"C.",
""
]
] |
The quantum mechanical analysis of the canonical hamiltonian description of the effective action of a SDp-brane in bosonic ten dimensional Type II supergravity in a homogeneous background is given. We find exact solutions for the corresponding quantum theory by solving the Wheeler-deWitt equation in the late-time limit of the rolling tachyon. The probability densities for several values of p are shown and their possible interpretation is discussed. In the process the effects of electromagnetic fields are also incorporated and it is shown that in this case the interpretation of tachyon regarded as ``matter clock'' is modified.
| 16.015808
| 13.7689
| 15.060379
| 13.262762
| 12.833917
| 13.541986
| 14.880148
| 12.683846
| 13.334297
| 16.98815
| 13.881081
| 14.319232
| 14.439998
| 13.517122
| 14.132524
| 13.992786
| 14.164525
| 14.180606
| 14.240514
| 14.538693
| 14.018061
|
1807.08755
|
Monica Jinwoo Kang
|
Mboyo Esole, Monica Jinwoo Kang
|
Characteristic numbers of crepant resolutions of Weierstrass models
|
34 pages, 9 Tables
| null | null | null |
hep-th math-ph math.AG math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute characteristic numbers of crepant resolutions of Weierstrass
models corresponding to elliptically fibered fourfolds $Y$ dual in F-theory to
a gauge theory with gauge group $G$. In contrast to the case of fivefolds,
Chern and Pontryagin numbers of fourfolds are invariant under crepant
birational maps. It follows that Chern and Pontryagin numbers are independent
on a choice of a crepant resolution. We present the results for the Euler
characteristic, the holomorphic genera, the Todd-genus, the $L$-genus, the
$\hat{A}$-genus, and the curvature invariant $X_8$ that appears in M-theory. We
also show that certain characteristic classes are independent on the choice of
the Kodaria fiber characterizing the group $G$. That is the case of $\int_Y
c_1^2 c_2$, the arithmetic genus, and the $\hat{A}$-genus. Thus, it is enough
to know $\int_Y c_2^2$ and the Euler characteristic $\chi(Y)$ to determine all
the Chern numbers of an elliptically fibered fourfold. We consider the cases of
$G=$ SU($n$) for ($n=2,3,4,5,6,7$), USp($4$), Spin($7$), Spin($8$), Spin($10$),
G$_2$, F$_4$, E$_6$, E$_7$, or E$_8$.
|
[
{
"created": "Mon, 23 Jul 2018 18:00:00 GMT",
"version": "v1"
}
] |
2019-10-14
|
[
[
"Esole",
"Mboyo",
""
],
[
"Kang",
"Monica Jinwoo",
""
]
] |
We compute characteristic numbers of crepant resolutions of Weierstrass models corresponding to elliptically fibered fourfolds $Y$ dual in F-theory to a gauge theory with gauge group $G$. In contrast to the case of fivefolds, Chern and Pontryagin numbers of fourfolds are invariant under crepant birational maps. It follows that Chern and Pontryagin numbers are independent on a choice of a crepant resolution. We present the results for the Euler characteristic, the holomorphic genera, the Todd-genus, the $L$-genus, the $\hat{A}$-genus, and the curvature invariant $X_8$ that appears in M-theory. We also show that certain characteristic classes are independent on the choice of the Kodaria fiber characterizing the group $G$. That is the case of $\int_Y c_1^2 c_2$, the arithmetic genus, and the $\hat{A}$-genus. Thus, it is enough to know $\int_Y c_2^2$ and the Euler characteristic $\chi(Y)$ to determine all the Chern numbers of an elliptically fibered fourfold. We consider the cases of $G=$ SU($n$) for ($n=2,3,4,5,6,7$), USp($4$), Spin($7$), Spin($8$), Spin($10$), G$_2$, F$_4$, E$_6$, E$_7$, or E$_8$.
| 5.621241
| 5.884357
| 6.4881
| 5.235308
| 5.651456
| 5.864946
| 5.664539
| 5.631589
| 5.633554
| 6.921803
| 5.451677
| 5.511468
| 5.872621
| 5.353771
| 5.610354
| 5.467365
| 5.715955
| 5.51649
| 5.533344
| 5.926801
| 5.552771
|
hep-th/9805030
|
Glenn Barnich
|
Glenn Barnich
|
A general non renormalization theorem in the extended antifield
formalism
|
25 pages Latex file, major revision and extension
|
JHEP 9812:003,1998
|
10.1088/1126-6708/1998/12/003
|
ULB-TH-98/08, FTUV/98-81, IFIC/98-82, ESI-625
|
hep-th
| null |
In the context of algebraic renormalization, the extended antifield formalism
is used to derive the general forms of the anomaly consistency condition and of
the Callan-Symanzik equation for generic gauge theories. A local version of the
latter is used to derive sufficient conditions for the vanishing of beta
functions associated to terms whose integrands are invariant only up to a
divergence for an arbitrary non trivial non anomalous symmetry of the
Lagrangian. These conditions are independent of power counting restrictions and
of the form of the gauge fixation.
|
[
{
"created": "Wed, 6 May 1998 12:49:26 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Oct 1998 11:31:07 GMT",
"version": "v2"
}
] |
2016-09-06
|
[
[
"Barnich",
"Glenn",
""
]
] |
In the context of algebraic renormalization, the extended antifield formalism is used to derive the general forms of the anomaly consistency condition and of the Callan-Symanzik equation for generic gauge theories. A local version of the latter is used to derive sufficient conditions for the vanishing of beta functions associated to terms whose integrands are invariant only up to a divergence for an arbitrary non trivial non anomalous symmetry of the Lagrangian. These conditions are independent of power counting restrictions and of the form of the gauge fixation.
| 10.582107
| 8.676516
| 11.558381
| 9.584444
| 8.896814
| 8.847115
| 8.936792
| 9.28909
| 9.265746
| 11.022187
| 8.770335
| 9.500374
| 9.654142
| 9.368505
| 9.389569
| 9.916066
| 9.080963
| 9.514312
| 9.496809
| 9.863744
| 8.971297
|
hep-th/9506041
|
J. Mourad
|
J.Madore and J.Mourad
|
ON THE ORIGIN OF KALUZA-KLEIN STRUCTURE
|
11 pages, plain tex
|
Phys.Lett. B359 (1995) 43-48
|
10.1016/0370-2693(95)01039-S
|
LMPM-95-27
|
hep-th
| null |
It is suggested that quantum fluctuations of the light cone are at the origin
of what appears at low energy to be a higher-dimensional structure over
space-time. A model is presented which has but a finite number of Yang-Mills
fields although the supplementary algebraic structure is of infinite dimension.
|
[
{
"created": "Wed, 7 Jun 1995 13:33:39 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Madore",
"J.",
""
],
[
"Mourad",
"J.",
""
]
] |
It is suggested that quantum fluctuations of the light cone are at the origin of what appears at low energy to be a higher-dimensional structure over space-time. A model is presented which has but a finite number of Yang-Mills fields although the supplementary algebraic structure is of infinite dimension.
| 20.645031
| 20.127617
| 17.774332
| 18.689159
| 19.108351
| 21.051836
| 17.380919
| 19.130884
| 18.564207
| 17.023371
| 19.463444
| 19.5277
| 18.961069
| 18.678308
| 18.154888
| 18.374521
| 18.910156
| 17.636356
| 18.924297
| 18.093742
| 18.7731
|
2401.13029
|
Bartlomiej Czech
|
Bartlomiej Czech, Yu Liu, Bo Yu
|
Two infinite families of facets of the holographic entropy cone
|
18 pages plus appendices, 8 figures, 21 lemmas. v2: typos and one
notational issue fixed
| null | null | null |
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We verify that the recently proven infinite families of holographic entropy
inequalities are maximally tight, i.e. they are facets of the holographic
entropy cone. The proof is technical but it offers some heuristic insight. On
star graphs, both families of inequalities quantify how concentrated / spread
information is with respect to a dihedral symmetry acting on subsystems. In
addition, toric inequalities viewed in the K-basis show an interesting
interplay between four-party and six-party perfect tensors.
|
[
{
"created": "Tue, 23 Jan 2024 19:00:01 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Jan 2024 16:38:04 GMT",
"version": "v2"
}
] |
2024-01-31
|
[
[
"Czech",
"Bartlomiej",
""
],
[
"Liu",
"Yu",
""
],
[
"Yu",
"Bo",
""
]
] |
We verify that the recently proven infinite families of holographic entropy inequalities are maximally tight, i.e. they are facets of the holographic entropy cone. The proof is technical but it offers some heuristic insight. On star graphs, both families of inequalities quantify how concentrated / spread information is with respect to a dihedral symmetry acting on subsystems. In addition, toric inequalities viewed in the K-basis show an interesting interplay between four-party and six-party perfect tensors.
| 33.392403
| 31.864202
| 37.254345
| 30.530529
| 31.503397
| 32.892609
| 30.909777
| 29.61367
| 29.926363
| 38.313908
| 30.012558
| 30.660278
| 32.845642
| 32.04261
| 30.609507
| 29.88652
| 31.326128
| 30.455967
| 30.555668
| 33.678085
| 30.648056
|
1911.04485
|
Evgeny Ivanov
|
I.L. Buchbinder, E.A. Ivanov
|
Hidden supersymmetry as a key to constructing low-energy superfield
effective actions
|
0 + 27 pages, Abstract and sec. 2 slightly modified, typos corrected;
Contribution to the Volume in Honor of Andrei A. Slavnov on the occasion of
his 80th Birthday. arXiv admin note: text overlap with arXiv:1812.07206,
arXiv:hep-th/0111062
|
Proc. Steklov Inst. Math. 309 (2020), no. 6, pp. 57-77
| null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this review paper, we outline and exemplify the general method of
constructing the supefield low-energy quantum effective action of
supersymmetric Yang-Mills (SYM) theories with extended supersymmetry in the
Coulomb phase, grounded upon the requirement of invariance under the
non-manifest (hidden) part of the underlying supersymmetry. In this way we
restore the ${\cal N}=4$ supersymmetric effective actions in $4D, {\cal N}=4$
SYM, ${\cal N}=2$ supersymmetric effective actions in $5D, {\cal N}=2$ SYM and
${\cal N}=(1,1)$ supersymmetric effective actions in $6D, {\cal N}=(1,1)$ SYM
theories. The manifest off-shell fractions of the full supersymmetry are,
respectively, $4D, {\cal N}=2$, $5D, {\cal N}=1$ and $6D, {\cal N}=(1,0)$
supersymmetries. In all cases the effective actions depend on the corresponding
covariant superfield SYM strengths and the hypermultiplet superfields. The
whole construction essentially exploits a power of the harmonic superspace
formalism.
|
[
{
"created": "Mon, 11 Nov 2019 15:01:22 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Nov 2019 13:50:22 GMT",
"version": "v2"
}
] |
2021-05-17
|
[
[
"Buchbinder",
"I. L.",
""
],
[
"Ivanov",
"E. A.",
""
]
] |
In this review paper, we outline and exemplify the general method of constructing the supefield low-energy quantum effective action of supersymmetric Yang-Mills (SYM) theories with extended supersymmetry in the Coulomb phase, grounded upon the requirement of invariance under the non-manifest (hidden) part of the underlying supersymmetry. In this way we restore the ${\cal N}=4$ supersymmetric effective actions in $4D, {\cal N}=4$ SYM, ${\cal N}=2$ supersymmetric effective actions in $5D, {\cal N}=2$ SYM and ${\cal N}=(1,1)$ supersymmetric effective actions in $6D, {\cal N}=(1,1)$ SYM theories. The manifest off-shell fractions of the full supersymmetry are, respectively, $4D, {\cal N}=2$, $5D, {\cal N}=1$ and $6D, {\cal N}=(1,0)$ supersymmetries. In all cases the effective actions depend on the corresponding covariant superfield SYM strengths and the hypermultiplet superfields. The whole construction essentially exploits a power of the harmonic superspace formalism.
| 5.097638
| 5.055412
| 5.235902
| 4.603875
| 4.696907
| 4.873443
| 4.639426
| 4.800024
| 4.847211
| 5.664269
| 4.613634
| 4.718096
| 5.019072
| 4.778028
| 4.827777
| 4.814054
| 4.68119
| 4.681579
| 4.800493
| 4.980123
| 4.827512
|
2105.14234
|
Amitabha Lahiri
|
Shantonu Mukherjee, Amitabha Lahiri
|
Spin gauge theory, duality and fermion pairing
|
Contents identical with version accepted for publication in JHEP
| null |
10.1007/JHEP02(2022)068
| null |
hep-th cond-mat.supr-con
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We apply duality transformation to the Abelian Higgs model in 3+1 dimensions
in the presence of electrons coupled to the gauge field. The Higgs field is in
the symmetry broken phase, where flux strings can form. Dualization brings in
an antisymmetric tensor potential $B_{\mu\nu}\,$, which couples to the
electrons through a nonlocal interaction which can be interpreted as a coupling
to the spin current. It also couples to the string worldsheet and gives rise to
a string Higgs mechanism via the condensation of flux strings. In the phase
where the $B_{\mu\nu}$ field is massless, the nonlocal interaction implies a
linearly rising attractive force between the electrons, which can be
interpreted as the result of a pair of strings joining the electrons.
|
[
{
"created": "Sat, 29 May 2021 06:58:43 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Nov 2021 06:35:15 GMT",
"version": "v2"
},
{
"created": "Sun, 23 Jan 2022 10:14:33 GMT",
"version": "v3"
}
] |
2022-03-02
|
[
[
"Mukherjee",
"Shantonu",
""
],
[
"Lahiri",
"Amitabha",
""
]
] |
We apply duality transformation to the Abelian Higgs model in 3+1 dimensions in the presence of electrons coupled to the gauge field. The Higgs field is in the symmetry broken phase, where flux strings can form. Dualization brings in an antisymmetric tensor potential $B_{\mu\nu}\,$, which couples to the electrons through a nonlocal interaction which can be interpreted as a coupling to the spin current. It also couples to the string worldsheet and gives rise to a string Higgs mechanism via the condensation of flux strings. In the phase where the $B_{\mu\nu}$ field is massless, the nonlocal interaction implies a linearly rising attractive force between the electrons, which can be interpreted as the result of a pair of strings joining the electrons.
| 7.855735
| 7.81436
| 7.799364
| 7.477133
| 7.290926
| 7.429404
| 7.734905
| 7.961276
| 6.866131
| 8.520312
| 7.201853
| 7.179808
| 7.485359
| 7.285498
| 7.457508
| 7.500129
| 7.264577
| 7.353107
| 7.299465
| 7.502254
| 7.35826
|
hep-th/0309202
|
Shibaji Roy
|
Somdatta Bhattacharya and Shibaji Roy
|
Time dependent supergravity solutions in arbitrary dimensions
|
21 pages, LaTeX, no figures, v2: comparisons of KMP SNS-brane
solutions are given, references added, v3: JHEP version
|
JHEP 0312 (2003) 015
|
10.1088/1126-6708/2003/12/015
| null |
hep-th
| null |
By directly solving the equations of motion we obtain the time dependent
solutions of supergravities with dilaton and a $q$-form field-strength in
arbitrary dimensions. The metrics are assumed to have the symmetries ISO($p+1$)
$\times$ SO($d-p-2,1$) and can be regarded as those of the magnetically charged
Euclidean or space-like branes. When we impose the extremality condition, we
find that the magnetic charges of the branes become imaginary and the
corresponding real solutions then represent the E$p$-branes of type II$^\ast$
theories (for the field-strengths belonging to the RR sector). On the other
hand, when the extremality condition is relaxed we find real solutions in type
II theories which resemble the solutions found by Kruczenski-Myers-Peet. In
$d=10$ they match exactly. We point out the relations between the solutions
found in this paper and those of Chen-Gal'tsov-Gutperle in arbitrary
dimensions. Although there is no extremal limit for these solutions, we find
another class of solutions, which resemble the solutions in the extremal case
with imaginary magnetic charges and the corresponding real solutions can be
regarded as the non-BPS E$p$-brane solutions of type II$^\ast$ theories (for
the field-strengths in RR sector).
|
[
{
"created": "Mon, 22 Sep 2003 08:07:27 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Sep 2003 10:34:04 GMT",
"version": "v2"
},
{
"created": "Fri, 12 Dec 2003 10:45:26 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Bhattacharya",
"Somdatta",
""
],
[
"Roy",
"Shibaji",
""
]
] |
By directly solving the equations of motion we obtain the time dependent solutions of supergravities with dilaton and a $q$-form field-strength in arbitrary dimensions. The metrics are assumed to have the symmetries ISO($p+1$) $\times$ SO($d-p-2,1$) and can be regarded as those of the magnetically charged Euclidean or space-like branes. When we impose the extremality condition, we find that the magnetic charges of the branes become imaginary and the corresponding real solutions then represent the E$p$-branes of type II$^\ast$ theories (for the field-strengths belonging to the RR sector). On the other hand, when the extremality condition is relaxed we find real solutions in type II theories which resemble the solutions found by Kruczenski-Myers-Peet. In $d=10$ they match exactly. We point out the relations between the solutions found in this paper and those of Chen-Gal'tsov-Gutperle in arbitrary dimensions. Although there is no extremal limit for these solutions, we find another class of solutions, which resemble the solutions in the extremal case with imaginary magnetic charges and the corresponding real solutions can be regarded as the non-BPS E$p$-brane solutions of type II$^\ast$ theories (for the field-strengths in RR sector).
| 8.170465
| 7.377557
| 8.649467
| 7.471668
| 7.768301
| 7.660014
| 7.149043
| 7.174979
| 7.274767
| 8.586931
| 7.156642
| 7.423112
| 7.837821
| 7.518217
| 7.536544
| 7.75848
| 7.541153
| 7.393016
| 7.340334
| 8.032263
| 7.427931
|
hep-th/9211004
|
Junegone Chay
|
Junegone Chay, Deog Ki Hong, Taejin Lee, S. H. Park
|
$\theta$ Effects in Chern-Simons ${\rm QED}_{2+1}$ with a Four-Fermi
Interaction
|
13 pages, 6 figures not included, LaTeX, SNUTP 92-92
|
Phys.Rev. D48 (1993) 909-914
|
10.1103/PhysRevD.48.909
| null |
hep-th
| null |
We investigate the effects of the Chern-Simons coupling on the high energy
behavior in the $(2+1)$-dimensional Chern-Simons QED with a four-Fermi
interaction. Using the $1/N$ expansion we discuss the Chern-Simons effects on
the critical four-Fermi coupling at $O(1/N)$ and the $\beta$ function around
it. High-energy behavior of Green's functions is also discussed. By explicit
calculation, we find that the radiative correction to the Chern-Simons coupling
vanishes at $O(1/N)$ in the broken phase of the dynamical parity symmetry. We
argue that no radiative corrections to the Chern-Simons term arise at higher
orders in the $1/N$ expansion.
|
[
{
"created": "Mon, 2 Nov 1992 11:40:26 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Chay",
"Junegone",
""
],
[
"Hong",
"Deog Ki",
""
],
[
"Lee",
"Taejin",
""
],
[
"Park",
"S. H.",
""
]
] |
We investigate the effects of the Chern-Simons coupling on the high energy behavior in the $(2+1)$-dimensional Chern-Simons QED with a four-Fermi interaction. Using the $1/N$ expansion we discuss the Chern-Simons effects on the critical four-Fermi coupling at $O(1/N)$ and the $\beta$ function around it. High-energy behavior of Green's functions is also discussed. By explicit calculation, we find that the radiative correction to the Chern-Simons coupling vanishes at $O(1/N)$ in the broken phase of the dynamical parity symmetry. We argue that no radiative corrections to the Chern-Simons term arise at higher orders in the $1/N$ expansion.
| 5.706268
| 4.510443
| 5.543192
| 4.869602
| 5.226616
| 4.899357
| 4.836513
| 4.712905
| 5.132188
| 5.667817
| 4.979958
| 5.25773
| 5.37076
| 5.329329
| 5.273598
| 5.411811
| 5.360458
| 5.356639
| 5.262534
| 5.614586
| 5.428529
|
hep-th/9805081
|
Raphael Bousso
|
Raphael Bousso (Stanford)
|
Proliferation of de Sitter Space
|
19 pages, LaTeX2e, 4 figures
|
Phys.Rev. D58 (1998) 083511
|
10.1103/PhysRevD.58.083511
|
SU-ITP-98-24
|
hep-th astro-ph gr-qc
| null |
I show that de Sitter space disintegrates into an infinite number of copies
of itself. This occurs iteratively through a quantum process involving two
types of topology change. First a handle is created semiclassically, on which
multiple black hole horizons form. Then the black holes evaporate and
disappear, splitting the spatial hypersurfaces into large parts. Applied to
cosmology, this process leads to the production of a large or infinite number
of universes in most models of inflation and yields a new picture of global
structure.
|
[
{
"created": "Wed, 13 May 1998 23:27:32 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Bousso",
"Raphael",
"",
"Stanford"
]
] |
I show that de Sitter space disintegrates into an infinite number of copies of itself. This occurs iteratively through a quantum process involving two types of topology change. First a handle is created semiclassically, on which multiple black hole horizons form. Then the black holes evaporate and disappear, splitting the spatial hypersurfaces into large parts. Applied to cosmology, this process leads to the production of a large or infinite number of universes in most models of inflation and yields a new picture of global structure.
| 15.379198
| 17.13131
| 14.735857
| 14.242385
| 15.499237
| 14.989322
| 15.010891
| 14.391858
| 16.069269
| 17.307674
| 15.097819
| 13.516651
| 14.644347
| 14.103034
| 14.577353
| 14.807414
| 14.495338
| 14.275075
| 14.192021
| 15.032548
| 14.128353
|
hep-th/0002241
|
M. Meyer
|
S. Deser and D. Seminara
|
Tree Amplitudes and Two-loop Counterterms in D=11 Supergravity
|
14 pages
|
Phys.Rev.D62:084010,2000
|
10.1103/PhysRevD.62.084010
|
LPT-ENS-99/52, BRX-TH 456
|
hep-th gr-qc
| null |
We compute the tree level 4-particle bosonic scattering amplitudes in D=11
supergravity. By construction, they are part of a linearized supersymmetry-,
coordinate- and 3-form gauge-invariant. While this on-shell invariant is
nonlocal, suitable SUSY-preserving differentiations turn it into a local one
with correct dimension to provide a natural lowest (two-loop) order counterterm
candidate. Its existence shows explicitly that no symmetries protect this
ultimate supergravity from the nonrenormalizability of its lower-dimensional
counterparts.
|
[
{
"created": "Mon, 28 Feb 2000 16:52:47 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Deser",
"S.",
""
],
[
"Seminara",
"D.",
""
]
] |
We compute the tree level 4-particle bosonic scattering amplitudes in D=11 supergravity. By construction, they are part of a linearized supersymmetry-, coordinate- and 3-form gauge-invariant. While this on-shell invariant is nonlocal, suitable SUSY-preserving differentiations turn it into a local one with correct dimension to provide a natural lowest (two-loop) order counterterm candidate. Its existence shows explicitly that no symmetries protect this ultimate supergravity from the nonrenormalizability of its lower-dimensional counterparts.
| 19.425129
| 18.330547
| 23.752106
| 17.12672
| 20.363592
| 17.647633
| 18.452709
| 17.696972
| 18.346125
| 23.715128
| 18.435884
| 18.585157
| 20.065243
| 19.00145
| 18.759914
| 18.572847
| 18.100733
| 18.799648
| 18.934135
| 20.023981
| 19.108509
|
1511.07841
|
Adolfo Guarino
|
Adolfo Guarino and Gianluca Inverso
|
Single-step de Sitter vacua from non-perturbative effects with matter
|
7 pages, 1 figure and 2 tables; v2: Published version
|
Phys. Rev. D 93, 066013 (2016)
|
10.1103/PhysRevD.93.066013
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A scenario of moduli stabilisation based on the interplay between closed and
open string sectors is explored in a bottom-up approach. We study N=1 effective
supergravities inspired by type IIB orientifold constructions that include
background fluxes and non-perturbative effects. The former generate the
standard flux superpotential for the axiodilaton and complex structure moduli.
The latter can be induced by gaugino condensation in a non-Abelian sector of
D7-branes and involve the overall Kaehler modulus of the compactification as
well as matter fields. We analyse the dynamics of this coupled system and show
that it is compatible with single-step moduli stabilisation in a metastable de
Sitter vacuum. A novelty of the scenario is that the F-term potential suffices
to generate a positive cosmological constant and to stabilise all moduli,
except for a flat direction that can be either lifted by a mass term or eaten
up by an anomalous U(1).
|
[
{
"created": "Tue, 24 Nov 2015 19:36:06 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Jun 2016 17:22:07 GMT",
"version": "v2"
}
] |
2016-06-15
|
[
[
"Guarino",
"Adolfo",
""
],
[
"Inverso",
"Gianluca",
""
]
] |
A scenario of moduli stabilisation based on the interplay between closed and open string sectors is explored in a bottom-up approach. We study N=1 effective supergravities inspired by type IIB orientifold constructions that include background fluxes and non-perturbative effects. The former generate the standard flux superpotential for the axiodilaton and complex structure moduli. The latter can be induced by gaugino condensation in a non-Abelian sector of D7-branes and involve the overall Kaehler modulus of the compactification as well as matter fields. We analyse the dynamics of this coupled system and show that it is compatible with single-step moduli stabilisation in a metastable de Sitter vacuum. A novelty of the scenario is that the F-term potential suffices to generate a positive cosmological constant and to stabilise all moduli, except for a flat direction that can be either lifted by a mass term or eaten up by an anomalous U(1).
| 6.760255
| 5.943289
| 7.398928
| 6.007164
| 6.337531
| 6.52673
| 6.135905
| 6.058189
| 6.128118
| 7.135746
| 6.133948
| 6.245503
| 6.698465
| 6.151771
| 6.35751
| 6.262162
| 6.182039
| 6.182027
| 6.178866
| 6.436119
| 6.218206
|
1511.05216
|
Robert Delbourgo
|
Robert Delbourgo, Paul D Stack
|
General Relativity for N Properties
|
7 pages
|
Mod. Phys. Lett. 31A, 1650019 (2016)
|
10.1142/S021773231650019X
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We determine the coefficients of the terms multiplying the gauge fields,
gravitational field and cosmological term in a scheme whereby properties are
characterized by $N$ anticommuting scalar Grassmann variables. We do this for
general $N$, using analytical methods; this obviates the need for our algebraic
computing package which can become quite unwieldy as $N$ is increased.
|
[
{
"created": "Mon, 16 Nov 2015 23:25:07 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Jan 2016 23:48:10 GMT",
"version": "v2"
}
] |
2016-01-12
|
[
[
"Delbourgo",
"Robert",
""
],
[
"Stack",
"Paul D",
""
]
] |
We determine the coefficients of the terms multiplying the gauge fields, gravitational field and cosmological term in a scheme whereby properties are characterized by $N$ anticommuting scalar Grassmann variables. We do this for general $N$, using analytical methods; this obviates the need for our algebraic computing package which can become quite unwieldy as $N$ is increased.
| 19.593927
| 19.14045
| 19.570114
| 17.01614
| 19.731899
| 20.645012
| 19.335743
| 17.559717
| 18.86594
| 19.385414
| 18.195261
| 18.077358
| 19.472607
| 18.378935
| 17.497519
| 18.888973
| 18.105999
| 18.17943
| 19.334211
| 19.61253
| 18.748432
|
hep-th/0004082
|
R. Kantowski
|
H. T. Cho and R. Kantowski
|
Vilkovisky-DeWitt Effective Action for Einstein Gravity on Kaluza-Klein
Spacetimes $M^4\times S^N$
|
37 pages, no figures
|
Phys.Rev. D62 (2000) 124003
|
10.1103/PhysRevD.62.124003
| null |
hep-th
| null |
We evaluate the divergent part of the Vilkovisky-DeWitt effective action for
Einstein gravity on even-dimensional Kaluza-Klein spacetimes of the form
$M^{4}\times S^{N}$. Explicit results are given for $N$=2, 4, and 6. Trace
anomalies for gravitons are also given for these cases. Stable Kaluza-Klein
configurations are sought, unsuccessfully, assuming the divergent part of the
effective action dominates the dynamics.
|
[
{
"created": "Tue, 11 Apr 2000 19:40:56 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Aug 2000 01:58:56 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Cho",
"H. T.",
""
],
[
"Kantowski",
"R.",
""
]
] |
We evaluate the divergent part of the Vilkovisky-DeWitt effective action for Einstein gravity on even-dimensional Kaluza-Klein spacetimes of the form $M^{4}\times S^{N}$. Explicit results are given for $N$=2, 4, and 6. Trace anomalies for gravitons are also given for these cases. Stable Kaluza-Klein configurations are sought, unsuccessfully, assuming the divergent part of the effective action dominates the dynamics.
| 7.951869
| 7.563965
| 8.026881
| 6.969332
| 7.901882
| 8.189927
| 7.471561
| 7.410582
| 7.159157
| 8.092067
| 7.394042
| 7.515697
| 8.04254
| 7.559775
| 7.76352
| 7.918522
| 7.551826
| 7.36151
| 7.831264
| 8.040302
| 7.365542
|
1411.5656
|
Francisco A. Brito
|
F.A. Brito, M.L.F. Freire, W. Serafim
|
Confinement and screening in tachyonic matter
|
Latex, 7 pages, 3 figures, to appear in EPJC
| null |
10.1140/epjc/s10052-014-3202-y
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we consider confinement and screening of the electric field. We
study the behavior of a static electric field coupled to a dielectric function
with the intent of obtaining an electrical confinement similar to what happens
with the field of gluons that bind quarks in hadronic matter. For this we use
the phenomenon of `anti-screening' in a medium with exotic dielectric. We show
that tachyon matter behaves like an exotic way whose associated dielectric
function modifies the Maxwell's equations and affects the fields which results
in confining and Coulombian-like potentials in three spatial dimensions. We
note that the confining regime coincides with the tachyon condensation, which
resembles the effect of confinement due to condensation of magnetic monopoles.
The Coulombian-like regime is developed at large distance which is associated
with {a screening phase
|
[
{
"created": "Thu, 20 Nov 2014 19:54:43 GMT",
"version": "v1"
}
] |
2015-06-23
|
[
[
"Brito",
"F. A.",
""
],
[
"Freire",
"M. L. F.",
""
],
[
"Serafim",
"W.",
""
]
] |
In this paper we consider confinement and screening of the electric field. We study the behavior of a static electric field coupled to a dielectric function with the intent of obtaining an electrical confinement similar to what happens with the field of gluons that bind quarks in hadronic matter. For this we use the phenomenon of `anti-screening' in a medium with exotic dielectric. We show that tachyon matter behaves like an exotic way whose associated dielectric function modifies the Maxwell's equations and affects the fields which results in confining and Coulombian-like potentials in three spatial dimensions. We note that the confining regime coincides with the tachyon condensation, which resembles the effect of confinement due to condensation of magnetic monopoles. The Coulombian-like regime is developed at large distance which is associated with {a screening phase
| 15.791197
| 14.165306
| 13.932251
| 13.823571
| 15.130026
| 13.887645
| 14.106534
| 13.661759
| 13.635017
| 15.336614
| 13.664923
| 13.921947
| 13.818007
| 13.79012
| 13.946042
| 13.749205
| 14.273136
| 13.671154
| 13.876468
| 14.096641
| 13.588248
|
1603.04458
|
Amir H. Fatollahi
|
Amir H. Fatollahi
|
Phase Transition by 0-Branes of U(1) Lattice Gauge Theory
|
12 page, 4 figs, the interpretation of result is corrected and is
based on first order phase transition
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The site reduction of U(1) lattice gauge theory is used to model the 0-branes
in the dual theory. The reduced theory is the 1D plane-rotator model of the
angle-valued coordinates on discrete world-line. The energy spectrum is
obtained exactly via the transfer-matrix method, with a minimum in the lowest
energy as a direct consequence of compact nature of coordinates. Below the
critical coupling $g_c=1.125$ and temperature $T_c=0.335$ the system undergoes
a first order phase transition between coexistent phases with lower and higher
gauge couplings. The possible relation between the model and the proposed role
for magnetic monopoles in confinement mechanism based on dual Meissner effect
is pointed.
|
[
{
"created": "Tue, 23 Feb 2016 17:10:31 GMT",
"version": "v1"
},
{
"created": "Sun, 8 May 2016 11:57:01 GMT",
"version": "v2"
}
] |
2016-05-10
|
[
[
"Fatollahi",
"Amir H.",
""
]
] |
The site reduction of U(1) lattice gauge theory is used to model the 0-branes in the dual theory. The reduced theory is the 1D plane-rotator model of the angle-valued coordinates on discrete world-line. The energy spectrum is obtained exactly via the transfer-matrix method, with a minimum in the lowest energy as a direct consequence of compact nature of coordinates. Below the critical coupling $g_c=1.125$ and temperature $T_c=0.335$ the system undergoes a first order phase transition between coexistent phases with lower and higher gauge couplings. The possible relation between the model and the proposed role for magnetic monopoles in confinement mechanism based on dual Meissner effect is pointed.
| 16.524508
| 16.145164
| 17.0618
| 14.473921
| 16.309963
| 15.683208
| 17.268309
| 16.076899
| 15.056883
| 18.714718
| 15.023333
| 15.160094
| 15.710727
| 15.053121
| 15.993414
| 15.09428
| 15.231248
| 15.104249
| 15.460176
| 16.16217
| 15.36375
|
1912.09716
|
Christoph Uhlemann
|
Christoph F. Uhlemann
|
AdS$_6$/CFT$_5$ with O7-planes
|
28 pages, 7 figures
| null |
10.1007/JHEP04(2020)113
|
LCTP-19-34
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Type IIB AdS$_6$ solutions with orientifold 7-planes are constructed. The
geometry is a warped product of AdS$_6$ and S$^2$ over a Riemann surface
$\Sigma$ and the O7-planes correspond to a particular type of puncture on
$\Sigma$. The solutions are identified as near-horizon limits of $(p,q)$
5-brane webs with O7-planes. The dual 5d SCFTs have relevant deformations to
linear quiver gauge theories which have $SO(\cdot)$ or $USp(\cdot)$ nodes or
$SU(\cdot)$ nodes with hypermultiplets in symmetric or antisymmetric
representations, in addition to $SU(\cdot)$ nodes with fundamental
hypermultiplets. The S$^5$ free energies are obtained holographically and
matched to field theory computations using supersymmetric localization to
support the proposed dualities.
|
[
{
"created": "Fri, 20 Dec 2019 09:36:20 GMT",
"version": "v1"
}
] |
2020-05-20
|
[
[
"Uhlemann",
"Christoph F.",
""
]
] |
Type IIB AdS$_6$ solutions with orientifold 7-planes are constructed. The geometry is a warped product of AdS$_6$ and S$^2$ over a Riemann surface $\Sigma$ and the O7-planes correspond to a particular type of puncture on $\Sigma$. The solutions are identified as near-horizon limits of $(p,q)$ 5-brane webs with O7-planes. The dual 5d SCFTs have relevant deformations to linear quiver gauge theories which have $SO(\cdot)$ or $USp(\cdot)$ nodes or $SU(\cdot)$ nodes with hypermultiplets in symmetric or antisymmetric representations, in addition to $SU(\cdot)$ nodes with fundamental hypermultiplets. The S$^5$ free energies are obtained holographically and matched to field theory computations using supersymmetric localization to support the proposed dualities.
| 5.577506
| 4.865697
| 7.438889
| 4.763111
| 4.529092
| 4.763811
| 4.853228
| 4.824155
| 4.629379
| 7.471312
| 4.690815
| 4.761023
| 5.559616
| 4.881434
| 4.877372
| 4.864336
| 4.921779
| 4.788831
| 4.836258
| 5.406612
| 4.848568
|
2001.11039
|
Julius Julius
|
David Grabner, Nikolay Gromov, Julius Julius
|
Excited States of One-Dimensional Defect CFTs from the Quantum Spectral
Curve
|
27 pages, 5 figures, 1 table
| null |
10.1007/JHEP07(2020)042
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the anomalous dimension of the cusped Maldacena-Wilson line in
planar $\mathcal{N} = 4$ Yang-Mills theory with scalar insertions using the
Quantum Spectral Curve (QSC) method. In the straight line limit we interpret
the excited states of the QSC as insertions of scalar operators coupled to the
line. Such insertions were recently intensively studied in the context of the
one-dimensional defect CFT. We compute a five-loop perturbative result
analytically at weak coupling and the first four orders in the $1/\sqrt\lambda$
expansion at strong coupling, confirming all previous analytic results. In
addition, we find the non-perturbative spectrum numerically and show that it
interpolates smoothly between the weak and strong coupling predictions.
|
[
{
"created": "Wed, 29 Jan 2020 19:00:08 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Apr 2020 13:55:34 GMT",
"version": "v2"
}
] |
2020-08-26
|
[
[
"Grabner",
"David",
""
],
[
"Gromov",
"Nikolay",
""
],
[
"Julius",
"Julius",
""
]
] |
We study the anomalous dimension of the cusped Maldacena-Wilson line in planar $\mathcal{N} = 4$ Yang-Mills theory with scalar insertions using the Quantum Spectral Curve (QSC) method. In the straight line limit we interpret the excited states of the QSC as insertions of scalar operators coupled to the line. Such insertions were recently intensively studied in the context of the one-dimensional defect CFT. We compute a five-loop perturbative result analytically at weak coupling and the first four orders in the $1/\sqrt\lambda$ expansion at strong coupling, confirming all previous analytic results. In addition, we find the non-perturbative spectrum numerically and show that it interpolates smoothly between the weak and strong coupling predictions.
| 6.754222
| 6.471108
| 7.221323
| 5.677093
| 6.379282
| 6.49153
| 6.524624
| 6.290978
| 6.210956
| 8.574969
| 6.266702
| 6.661056
| 6.957229
| 6.491835
| 6.380427
| 6.528642
| 6.473346
| 6.317215
| 6.293514
| 6.957731
| 6.43945
|
1402.2052
|
Shohei Uemura
|
Yuta Hamada, Tatsuo Kobayashi, Shohei Uemura
|
Flavor structure in D-brane models: Majorana neutrino masses
|
17 pages, 1 figure
|
JHEP1405(2014)116
|
10.1007/JHEP05(2014)116
|
KUNS-2482
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the flavor structure in intersecting D-brane models. We study
anomalies of the discrete flavor symmetries. We analyze the Majorana neutrino
masses, which can be generated by D-brane instanton effects. It is found that a
certain pattern of mass matrix is obtained and the cyclic permutation symmetry
remains unbroken. As a result, trimaximal mixing matrix can be realized if
Dirac neutrino mass and charged lepton mass matrices are diagonal.
|
[
{
"created": "Mon, 10 Feb 2014 06:58:39 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Jun 2014 10:45:47 GMT",
"version": "v2"
}
] |
2015-06-18
|
[
[
"Hamada",
"Yuta",
""
],
[
"Kobayashi",
"Tatsuo",
""
],
[
"Uemura",
"Shohei",
""
]
] |
We study the flavor structure in intersecting D-brane models. We study anomalies of the discrete flavor symmetries. We analyze the Majorana neutrino masses, which can be generated by D-brane instanton effects. It is found that a certain pattern of mass matrix is obtained and the cyclic permutation symmetry remains unbroken. As a result, trimaximal mixing matrix can be realized if Dirac neutrino mass and charged lepton mass matrices are diagonal.
| 8.850108
| 7.910859
| 7.855484
| 8.200287
| 8.528476
| 8.55021
| 8.415163
| 8.322775
| 7.555556
| 8.000664
| 8.50736
| 8.275126
| 8.327109
| 7.937006
| 8.000622
| 7.961075
| 8.374263
| 8.255629
| 8.218158
| 8.146643
| 8.30667
|
2005.08560
|
Congkao Wen
|
Stefano Giusto, Rodolfo Russo, Alexander Tyukov, Congkao Wen
|
The CFT$_6$ origin of all tree-level 4-point correlators in AdS$_3
\times S^3$
|
12 pages, no figures; v2: typos corrected, published version
| null |
10.1140/epjc/s10052-020-8300-4
|
QMUL-PH-20-10
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We provide strong evidence that all tree-level 4-point holographic
correlators in AdS$_3 \times S^3$ are constrained by a hidden 6D conformal
symmetry. This property has been discovered in the AdS$_5 \times S^5$ context
and noticed in the tensor multiplet subsector of the AdS$_3 \times S^3$ theory.
Here we extend it to general AdS$_3 \times S^3$ correlators which contain also
the chiral primary operators of spin zero and one that sit in the gravity
multiplet. The key observation is that the 6D conformal primary field
associated with these operators is not a scalar but a self-dual $3$-form
primary. As an example, we focus on the correlators involving two fields in the
tensor multiplets and two in the gravity multiplet and show that all such
correlators are encoded in a conformal 6D correlator between two scalars and
two self-dual $3$-forms, which is determined by three functions of the cross
ratios. We fix these three functions by comparing with the results of the
simplest correlators derived from an explicit supergravity calculation.
|
[
{
"created": "Mon, 18 May 2020 10:16:09 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Aug 2020 13:32:52 GMT",
"version": "v2"
}
] |
2021-02-03
|
[
[
"Giusto",
"Stefano",
""
],
[
"Russo",
"Rodolfo",
""
],
[
"Tyukov",
"Alexander",
""
],
[
"Wen",
"Congkao",
""
]
] |
We provide strong evidence that all tree-level 4-point holographic correlators in AdS$_3 \times S^3$ are constrained by a hidden 6D conformal symmetry. This property has been discovered in the AdS$_5 \times S^5$ context and noticed in the tensor multiplet subsector of the AdS$_3 \times S^3$ theory. Here we extend it to general AdS$_3 \times S^3$ correlators which contain also the chiral primary operators of spin zero and one that sit in the gravity multiplet. The key observation is that the 6D conformal primary field associated with these operators is not a scalar but a self-dual $3$-form primary. As an example, we focus on the correlators involving two fields in the tensor multiplets and two in the gravity multiplet and show that all such correlators are encoded in a conformal 6D correlator between two scalars and two self-dual $3$-forms, which is determined by three functions of the cross ratios. We fix these three functions by comparing with the results of the simplest correlators derived from an explicit supergravity calculation.
| 6.251724
| 6.017857
| 6.892816
| 5.742405
| 6.47971
| 6.25005
| 6.16334
| 6.127116
| 5.961304
| 7.573822
| 6.04381
| 5.922698
| 6.295746
| 5.886466
| 5.969481
| 6.017946
| 5.933208
| 6.01601
| 5.771563
| 6.111217
| 5.717011
|
1106.3240
|
Daniele Binosi
|
Daniele Binosi and Andrea Quadri
|
Slavnov-Taylor constraints for non-trivial backgrounds
|
33 pages
| null |
10.1103/PhysRevD.84.065017
| null |
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We devise an algebraic procedure for the evaluation of Green's functions in
SU(N) Yang-Mills theory in the presence of a non-trivial background field. In
the ghost-free sector the dependence of the vertex functional on the background
is shown to be uniquely determined by the Slavnov-Taylor identities in terms of
a certain 1-PI correlator of the covariant derivatives of the ghost and the
anti-ghost fields. At non-vanishing background this amplitude is shown to
encode the quantum deformations to the tree-level background-quantum splitting.
The approach only relies on the functional identities of the model
(Slavnov-Taylor identities, $b$-equation, anti-ghost equation) and thus it is
valid beyond perturbation theory, and in particular in a lattice implementation
of the background field method. As an example of the formalism we analyze the
ghost two-point function and the Kugo-Ojima function in an instanton background
in SU(2) Yang-Mills theory, quantized in the background Landau gauge.
|
[
{
"created": "Thu, 16 Jun 2011 14:12:15 GMT",
"version": "v1"
}
] |
2013-05-29
|
[
[
"Binosi",
"Daniele",
""
],
[
"Quadri",
"Andrea",
""
]
] |
We devise an algebraic procedure for the evaluation of Green's functions in SU(N) Yang-Mills theory in the presence of a non-trivial background field. In the ghost-free sector the dependence of the vertex functional on the background is shown to be uniquely determined by the Slavnov-Taylor identities in terms of a certain 1-PI correlator of the covariant derivatives of the ghost and the anti-ghost fields. At non-vanishing background this amplitude is shown to encode the quantum deformations to the tree-level background-quantum splitting. The approach only relies on the functional identities of the model (Slavnov-Taylor identities, $b$-equation, anti-ghost equation) and thus it is valid beyond perturbation theory, and in particular in a lattice implementation of the background field method. As an example of the formalism we analyze the ghost two-point function and the Kugo-Ojima function in an instanton background in SU(2) Yang-Mills theory, quantized in the background Landau gauge.
| 6.816132
| 7.035972
| 6.842115
| 6.666114
| 6.866743
| 7.534104
| 6.570732
| 6.932056
| 6.287521
| 7.668577
| 6.798076
| 6.399616
| 6.412547
| 6.493159
| 6.379157
| 6.60875
| 6.380873
| 6.295424
| 6.288556
| 6.627919
| 6.340679
|
1208.2887
|
El Hassan Saidi
|
E. H. Saidi
|
Weak Coupling Chambers in N=2 BPS Quiver Theory
|
17 pages, 1 figure
| null |
10.1016/j.nuclphysb.2012.06.003
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using recent results on BPS quiver theory, we develop a group theoretical
method to describe the quiver mutations encoding the quantum mechanical duality
relating the spectra of distinct quivers. We illustrate the method by computing
the BPS spectrum of the infinite weak chamber of some examples of N=2
supersymmetric gauge models without and with quark hypermultiplets.
|
[
{
"created": "Tue, 14 Aug 2012 14:51:36 GMT",
"version": "v1"
}
] |
2015-06-11
|
[
[
"Saidi",
"E. H.",
""
]
] |
Using recent results on BPS quiver theory, we develop a group theoretical method to describe the quiver mutations encoding the quantum mechanical duality relating the spectra of distinct quivers. We illustrate the method by computing the BPS spectrum of the infinite weak chamber of some examples of N=2 supersymmetric gauge models without and with quark hypermultiplets.
| 20.864855
| 16.459398
| 21.48037
| 18.422375
| 17.779545
| 18.084566
| 17.00844
| 20.384155
| 19.094633
| 25.173815
| 18.252466
| 17.669542
| 19.688013
| 16.766928
| 17.184732
| 16.417635
| 18.372978
| 16.795959
| 18.21125
| 19.825638
| 16.957443
|
hep-th/9709112
|
Vadim V. Varlamov
|
Vadim V. Varlamov
|
Modulo 2 periodicity of complex Clifford algebras and electromagnetic
field
|
10 pages, Latex
| null | null | null |
hep-th
| null |
Electromagnetic field is considered in the framework of Clifford algebra
$\C_2$ over a field of complex numbers. It is shown here that a modulo 2
periodicity of complex Clifford algebras may be connected with electromagnetic
field.
|
[
{
"created": "Tue, 16 Sep 1997 16:48:16 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Varlamov",
"Vadim V.",
""
]
] |
Electromagnetic field is considered in the framework of Clifford algebra $\C_2$ over a field of complex numbers. It is shown here that a modulo 2 periodicity of complex Clifford algebras may be connected with electromagnetic field.
| 18.533463
| 15.28839
| 16.979301
| 13.13113
| 13.849239
| 16.076725
| 15.080677
| 12.346689
| 13.528215
| 18.261507
| 13.198764
| 14.507036
| 15.271606
| 13.88447
| 14.460522
| 14.879003
| 14.85527
| 14.719968
| 15.457157
| 14.991201
| 16.404015
|
hep-th/9909060
|
Satoshi Iso
|
Hajime Aoki, Satoshi Iso, Hikaru Kawai and Yoshihisa Kitazawa
|
Branched Polymer Revisited
| null |
Prog.Theor.Phys. 104 (2000) 877-886
|
10.1143/PTP.104.877
| null |
hep-th cond-mat
| null |
We show that correlation functions for branched polymers correspond to those
for $\phi^3$ theory with a single mass insertion, not those for the $\phi^3$
theory themselves, as has been widely believed. In particular, the two-point
function behaves as 1/p^4, not as 1/p^2. This behavior is consistent with the
fact that the Hausdorff dimension of the branched polymer is four.
|
[
{
"created": "Fri, 10 Sep 1999 08:06:30 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Aoki",
"Hajime",
""
],
[
"Iso",
"Satoshi",
""
],
[
"Kawai",
"Hikaru",
""
],
[
"Kitazawa",
"Yoshihisa",
""
]
] |
We show that correlation functions for branched polymers correspond to those for $\phi^3$ theory with a single mass insertion, not those for the $\phi^3$ theory themselves, as has been widely believed. In particular, the two-point function behaves as 1/p^4, not as 1/p^2. This behavior is consistent with the fact that the Hausdorff dimension of the branched polymer is four.
| 6.908765
| 6.303908
| 7.415156
| 6.732829
| 6.480406
| 6.738819
| 6.135859
| 6.109314
| 6.103377
| 7.086213
| 6.287319
| 6.062407
| 6.402253
| 5.89932
| 6.232664
| 6.040665
| 5.907942
| 6.050905
| 6.16388
| 6.754096
| 6.101233
|
2005.12944
|
Antonio Pittelli
|
Guido Festuccia, Anastasios Gorantis, Antonio Pittelli, Konstantina
Polydorou and Lorenzo Ruggeri
|
Cohomological Localization of $\mathcal N = 2$ Gauge Theories with
Matter
|
37 pages including appendices. Partial text overlap with
arXiv:1812.06473 in appendices. Minor typo fixes, references added
| null |
10.1007/JHEP09(2020)133
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct a large class of gauge theories with extended supersymmetry on
four-dimensional manifolds with a Killing vector field and isolated fixed
points. We extend previous results limited to super Yang-Mills theory to
general $\mathcal{N}=2$ gauge theories including hypermultiplets. We present a
general framework encompassing equivariant Donaldson-Witten theory and Pestun's
theory on $S^4$ as two particular cases. This is achieved by expressing fields
in cohomological variables, whose features are dictated by supersymmetry and
require a generalized notion of self-duality for two-forms and of chirality for
spinors. Finally, we implement localization techniques to compute the exact
partition function of the cohomological theories we built up and write the
explicit result for manifolds with diverse topologies.
|
[
{
"created": "Tue, 26 May 2020 18:08:13 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Jun 2020 15:21:19 GMT",
"version": "v2"
}
] |
2020-10-28
|
[
[
"Festuccia",
"Guido",
""
],
[
"Gorantis",
"Anastasios",
""
],
[
"Pittelli",
"Antonio",
""
],
[
"Polydorou",
"Konstantina",
""
],
[
"Ruggeri",
"Lorenzo",
""
]
] |
We construct a large class of gauge theories with extended supersymmetry on four-dimensional manifolds with a Killing vector field and isolated fixed points. We extend previous results limited to super Yang-Mills theory to general $\mathcal{N}=2$ gauge theories including hypermultiplets. We present a general framework encompassing equivariant Donaldson-Witten theory and Pestun's theory on $S^4$ as two particular cases. This is achieved by expressing fields in cohomological variables, whose features are dictated by supersymmetry and require a generalized notion of self-duality for two-forms and of chirality for spinors. Finally, we implement localization techniques to compute the exact partition function of the cohomological theories we built up and write the explicit result for manifolds with diverse topologies.
| 9.461576
| 9.469993
| 10.569187
| 9.572171
| 9.516176
| 8.807217
| 9.432542
| 9.12744
| 9.200145
| 11.799883
| 9.517161
| 9.212786
| 9.735693
| 9.468476
| 9.671785
| 9.613875
| 9.41037
| 9.163113
| 9.126513
| 10.117588
| 9.161772
|
hep-th/9602029
|
Yutaka Hosotani
|
Ramon Rodriguez and Yutaka Hosotani (Univ of Minnesota)
|
Confinement and chiral condensates in 2-d QED with massive N-flavor
fermions
|
14 pages. LaTex + 2 postscript figures, uses epsf.sty
|
Phys.Lett. B375 (1996) 273-284
|
10.1016/0370-2693(96)00240-7
|
UMN-TH-1421/96, NUC-MINN-96/2-T
|
hep-th
| null |
We evaluate Polyakov loops and string tension in two-dimensional QED with
both massless and massive $N$-flavor fermions at zero and finite temperature.
External charges, or external electric fields, induce phases in fermion masses
and shift the value of the vacuum angle parameter $\theta$, which in turn
alters the chiral condensate. In particular, in the presence of two sources of
opposite charges, $q$ and $-q$, the shift in $\theta$ is $2\pi(q/e)$
independent of $N$. The string tension has a cusp singularity at
$\theta=\pm\pi$ for $N\ge 2$ and is proportional to $m^{2N/(N+1)}$ at $T=0$.
|
[
{
"created": "Tue, 6 Feb 1996 18:29:27 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Rodriguez",
"Ramon",
"",
"Univ of Minnesota"
],
[
"Hosotani",
"Yutaka",
"",
"Univ of Minnesota"
]
] |
We evaluate Polyakov loops and string tension in two-dimensional QED with both massless and massive $N$-flavor fermions at zero and finite temperature. External charges, or external electric fields, induce phases in fermion masses and shift the value of the vacuum angle parameter $\theta$, which in turn alters the chiral condensate. In particular, in the presence of two sources of opposite charges, $q$ and $-q$, the shift in $\theta$ is $2\pi(q/e)$ independent of $N$. The string tension has a cusp singularity at $\theta=\pm\pi$ for $N\ge 2$ and is proportional to $m^{2N/(N+1)}$ at $T=0$.
| 7.443516
| 6.540456
| 7.508263
| 6.876411
| 7.204076
| 7.153733
| 7.233975
| 6.333763
| 7.024536
| 7.979342
| 6.632824
| 7.047635
| 7.153216
| 6.725306
| 7.1514
| 7.060786
| 7.202485
| 7.050607
| 7.006117
| 6.912375
| 6.818057
|
1205.0912
|
Chihiro Matsui
|
Chihiro Matsui
|
Boundary bound states in the SUSY sine-Gordon model with Dirichlet
boundary conditions
|
27 pages, 6 figures
| null | null | null |
hep-th cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyze the ground state structure of the supersymmetric sine-Gordon model
via the lattice regularization. The nonlinear integral equations are derived
for any values of the boundary parameters by the analytic continuation and
showed three different forms depending on the boundary parameters. We discuss
the state that each set of the nonlinear integral equations characterizes in
the absence of source terms. Four different pictures of the ground state are
found by numerically studying the positions of zeros in the auxiliary
functions. We suggest the existence of two classes in the SUSY sine-Gordon
model, which cannot be mixed each other.
|
[
{
"created": "Fri, 4 May 2012 10:43:16 GMT",
"version": "v1"
}
] |
2012-05-07
|
[
[
"Matsui",
"Chihiro",
""
]
] |
We analyze the ground state structure of the supersymmetric sine-Gordon model via the lattice regularization. The nonlinear integral equations are derived for any values of the boundary parameters by the analytic continuation and showed three different forms depending on the boundary parameters. We discuss the state that each set of the nonlinear integral equations characterizes in the absence of source terms. Four different pictures of the ground state are found by numerically studying the positions of zeros in the auxiliary functions. We suggest the existence of two classes in the SUSY sine-Gordon model, which cannot be mixed each other.
| 15.483714
| 15.719641
| 18.095276
| 14.778689
| 14.378093
| 14.764318
| 15.423652
| 14.461131
| 14.732719
| 18.167562
| 13.303793
| 13.565314
| 15.661679
| 13.967468
| 14.225573
| 13.824159
| 14.120914
| 14.032306
| 14.130511
| 16.379637
| 13.864546
|
hep-th/0107092
|
Ramzi R. Khuri
|
Ramzi R. Khuri
|
Remarks on Black Hole Degrees of Freedom in String Theory
|
14 pages, harvmac (reference added, typos corrected)
|
Nucl.Phys. B617 (2001) 365-374
|
10.1016/S0550-3213(01)00485-0
|
BCCUNY-HEP/01-01
|
hep-th
| null |
The Bekenstein-Hawking black hole area entropy law suggests that the quantum
degrees of freedom of black holes may be realized as projections of quantum
states unto the event horizon of the black hole. In this paper, we provide
further evidence for this interpretation in the context of string theory. In
particular, we argue that increase in the quantum entropy due to the capture of
infalling fundamental strings appears in the form of horizon degrees of
freedom.
|
[
{
"created": "Wed, 11 Jul 2001 15:08:26 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Nov 2001 17:36:06 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Khuri",
"Ramzi R.",
""
]
] |
The Bekenstein-Hawking black hole area entropy law suggests that the quantum degrees of freedom of black holes may be realized as projections of quantum states unto the event horizon of the black hole. In this paper, we provide further evidence for this interpretation in the context of string theory. In particular, we argue that increase in the quantum entropy due to the capture of infalling fundamental strings appears in the form of horizon degrees of freedom.
| 9.777351
| 8.887558
| 8.204217
| 8.494477
| 8.650649
| 8.467794
| 8.424708
| 8.129582
| 7.923066
| 8.899314
| 8.125201
| 8.823349
| 9.035893
| 8.35521
| 8.484123
| 8.416285
| 8.360799
| 8.670487
| 8.588759
| 9.275018
| 8.354369
|
hep-th/0609165
|
Shinya Tomizawa
|
Hideki Ishihara, Masashi Kimura and Shinya Tomizawa
|
Topology Change of Coalescing Black Holes on Eguchi-Hanson Space
|
10 pages, Some comments are added. to be published as a letter in
Classical and Quantum Gravity
|
Class.Quant.Grav.23:L89,2006
|
10.1088/0264-9381/23/24/L02
|
OCU-PHYS 255, AP-GR 37
|
hep-th
| null |
We construct multi-black hole solutions in the five-dimensional
Einstein-Maxwell theory with a positive cosmological constant on the
Eguchi-Hanson space, which is an asymptotically locally Euclidean space. The
solutions describe the physical process such that two black holes with the
topology of S^3 coalesce into a single black hole with the topology of the lens
space L(2;1)=S^3/Z_2. We discuss how the area of the single black hole after
the coalescence depends on the topology of the horizon.
|
[
{
"created": "Sat, 23 Sep 2006 13:20:09 GMT",
"version": "v1"
},
{
"created": "Sat, 4 Nov 2006 08:55:08 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Ishihara",
"Hideki",
""
],
[
"Kimura",
"Masashi",
""
],
[
"Tomizawa",
"Shinya",
""
]
] |
We construct multi-black hole solutions in the five-dimensional Einstein-Maxwell theory with a positive cosmological constant on the Eguchi-Hanson space, which is an asymptotically locally Euclidean space. The solutions describe the physical process such that two black holes with the topology of S^3 coalesce into a single black hole with the topology of the lens space L(2;1)=S^3/Z_2. We discuss how the area of the single black hole after the coalescence depends on the topology of the horizon.
| 4.949507
| 4.372664
| 4.732687
| 4.40854
| 4.607336
| 4.853196
| 4.602815
| 3.996922
| 4.561092
| 5.449703
| 4.464348
| 4.505581
| 4.674125
| 4.512644
| 4.483419
| 4.487745
| 4.37209
| 4.397901
| 4.530511
| 4.773686
| 4.478692
|
hep-th/0405185
|
Boris Zupnik
|
E.A. Ivanov, B.M. Zupnik
|
Non-Anticommutative Deformations of N=(1,1) Supersymmetric Theories
|
Latex file, 15 pages, Submitted to Proceedings of the Seminar
``Classical and Quantum Integrable Systems'' (Dubna, Russia, January 26-29,
2004), v.2 with minor corrections
|
Theor.Math.Phys. 142 (2005) 197-210; Teor.Mat.Fiz. 142 (2005)
235-251
|
10.1007/s11232-005-0004-2
| null |
hep-th
| null |
We discuss chirality-preserving nilpotent deformations of four-dimensional
N=(1,1) Euclidean harmonic superspace and their implications in N=(1,1)
supersymmetric gauge and hypermultiplet theories, basically following
[hep-th/0308012] and [hep-th/0405049]. For the SO(4) x SU(2) invariant
deformation, we present non-anticommutative Euclidean analogs of the N=2 gauge
multiplet and hypermultiplet off-shell actions. As a new result, we consider a
specific non-anticommutative hypermultiplet model with N=(1,0) supersymmetry.
It involves free scalar fields and interacting right-handed spinor fields.
|
[
{
"created": "Fri, 21 May 2004 15:52:34 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Sep 2004 12:27:01 GMT",
"version": "v2"
}
] |
2015-06-26
|
[
[
"Ivanov",
"E. A.",
""
],
[
"Zupnik",
"B. M.",
""
]
] |
We discuss chirality-preserving nilpotent deformations of four-dimensional N=(1,1) Euclidean harmonic superspace and their implications in N=(1,1) supersymmetric gauge and hypermultiplet theories, basically following [hep-th/0308012] and [hep-th/0405049]. For the SO(4) x SU(2) invariant deformation, we present non-anticommutative Euclidean analogs of the N=2 gauge multiplet and hypermultiplet off-shell actions. As a new result, we consider a specific non-anticommutative hypermultiplet model with N=(1,0) supersymmetry. It involves free scalar fields and interacting right-handed spinor fields.
| 7.810082
| 6.58259
| 8.693132
| 6.744056
| 7.03756
| 6.574691
| 6.284897
| 7.053044
| 6.840311
| 9.15893
| 6.714666
| 7.234558
| 8.076503
| 7.322017
| 7.286109
| 7.370525
| 7.238849
| 7.172516
| 7.147034
| 7.559675
| 7.210181
|
1807.11938
|
Hiroki Matsui
|
Hiroki Matsui, Fuminobu Takahashi
|
Eternal Inflation and Swampland Conjectures
|
6 pages; references added, version to appear in PRD
|
Phys. Rev. D 99, 023533 (2019)
|
10.1103/PhysRevD.99.023533
|
TU-1068, IPMU18-0132, MIT-CTP/5040
|
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study if eternal inflation is realized while satisfying the recently
proposed string Swampland criteria concerning the range of scalar field
excursion, $|\Delta \phi| < \mathcal{D} \cdot M_{\rm P}$, and the potential
gradient, $|\nabla V| > c \cdot V/M_{\rm P}$, where $\mathcal{D}$ and $c$ are
constants of order unity, and $M_{\rm P}$ is the reduced Planck mass. We find
that only the eternal inflation of chaotic type is possible for $c \sim {\cal
O}(0.01)$ and $1/\mathcal{D} \sim {\cal O}(0.01)$, and that the Hubble
parameter during the eternal inflation is parametrically close to the Planck
scale, and is in the range of $2 \pi c \lesssim H_{\rm inf}/M_{\rm P} <
1/\sqrt{3}$.
|
[
{
"created": "Tue, 31 Jul 2018 17:56:24 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Aug 2018 11:11:41 GMT",
"version": "v2"
},
{
"created": "Mon, 21 Jan 2019 09:59:16 GMT",
"version": "v3"
}
] |
2019-02-01
|
[
[
"Matsui",
"Hiroki",
""
],
[
"Takahashi",
"Fuminobu",
""
]
] |
We study if eternal inflation is realized while satisfying the recently proposed string Swampland criteria concerning the range of scalar field excursion, $|\Delta \phi| < \mathcal{D} \cdot M_{\rm P}$, and the potential gradient, $|\nabla V| > c \cdot V/M_{\rm P}$, where $\mathcal{D}$ and $c$ are constants of order unity, and $M_{\rm P}$ is the reduced Planck mass. We find that only the eternal inflation of chaotic type is possible for $c \sim {\cal O}(0.01)$ and $1/\mathcal{D} \sim {\cal O}(0.01)$, and that the Hubble parameter during the eternal inflation is parametrically close to the Planck scale, and is in the range of $2 \pi c \lesssim H_{\rm inf}/M_{\rm P} < 1/\sqrt{3}$.
| 4.178733
| 4.465314
| 4.086502
| 3.977422
| 4.310054
| 4.327653
| 4.523511
| 3.871596
| 4.093081
| 4.236709
| 3.931039
| 4.201011
| 4.074092
| 4.087577
| 4.085424
| 4.024516
| 4.216588
| 4.051728
| 4.081165
| 4.062352
| 4.091976
|
hep-th/0210091
|
Alexandros Kehagias
|
Minos Axenides, Emmanuel Floratos and Alex Kehagias
|
Scaling Violations in Yang-Mills Theories and Strings in AdS_5
|
16 pages, Appendix included in chapter. Version to appear in
Nucl.Phys.B
|
Nucl.Phys. B662 (2003) 170-184
|
10.1016/S0550-3213(03)00338-9
| null |
hep-th
| null |
String solitons in AdS_5 contain information of N=4 SUSY Yang-Mills theories
on the boundary. Recent proposals for rotating string solitons reproduce the
spectrum for anomalous dimensions of Wilson operators for the boundary theory.
There are possible extensions of this duality for lower supersymmetric and even
for non-supesymmetric Yang-Mills theories. We explicitly demonstrate that the
supersymmetric anomalous dimensions of Wilson operators in N=0,1 Yang-Mills
theories behave, for large spin J, at the two-loop level in perturbation
theory, like log J. We compile the analytic one- and two-loop results for the
N=0 case which is known in the literature, as well as for the N=1 case which
seems to be missing.
|
[
{
"created": "Wed, 9 Oct 2002 20:16:14 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Nov 2002 19:25:15 GMT",
"version": "v2"
},
{
"created": "Thu, 29 May 2003 15:16:48 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Axenides",
"Minos",
""
],
[
"Floratos",
"Emmanuel",
""
],
[
"Kehagias",
"Alex",
""
]
] |
String solitons in AdS_5 contain information of N=4 SUSY Yang-Mills theories on the boundary. Recent proposals for rotating string solitons reproduce the spectrum for anomalous dimensions of Wilson operators for the boundary theory. There are possible extensions of this duality for lower supersymmetric and even for non-supesymmetric Yang-Mills theories. We explicitly demonstrate that the supersymmetric anomalous dimensions of Wilson operators in N=0,1 Yang-Mills theories behave, for large spin J, at the two-loop level in perturbation theory, like log J. We compile the analytic one- and two-loop results for the N=0 case which is known in the literature, as well as for the N=1 case which seems to be missing.
| 10.991562
| 10.25254
| 12.483496
| 9.63886
| 10.701786
| 10.621811
| 10.159189
| 9.548885
| 10.584296
| 12.955199
| 10.065356
| 9.599334
| 9.986888
| 9.907403
| 10.202719
| 9.906001
| 10.225513
| 9.838746
| 10.044109
| 10.087527
| 10.090049
|
0705.1657
|
Clare Burrage
|
C. Burrage, A.C. Davis
|
P-term Potentials from 4-D Supergravity
|
21 pages, no figures
|
JHEP 0706:086,2007
|
10.1088/1126-6708/2007/06/086
| null |
hep-th
| null |
P-term inflation arises in some models of brane inflation. Within N=2
supersymmetry the scalar potential contains a vector of Fayet-Iliopoulos (FI)
terms $\xi_i$. Depending on the direction of this vector it is possible to get
D-term and F-term inflation or a mix of these models. In this paper we review
the problems of embedding the P-term model in supergravity and show how these
can be solved by considering the truncation from an N=2 theory to N=1. We show
that with a simple gauging the scalar potential can include F-term or D-term
parts but not both. The gauging can be altered so that both F-terms and D-terms
containing FI constants can be included. In all cases we display the
inflationary trajectory and, if it exists, the supersymmetric minimum.
|
[
{
"created": "Fri, 11 May 2007 14:12:55 GMT",
"version": "v1"
}
] |
2009-11-13
|
[
[
"Burrage",
"C.",
""
],
[
"Davis",
"A. C.",
""
]
] |
P-term inflation arises in some models of brane inflation. Within N=2 supersymmetry the scalar potential contains a vector of Fayet-Iliopoulos (FI) terms $\xi_i$. Depending on the direction of this vector it is possible to get D-term and F-term inflation or a mix of these models. In this paper we review the problems of embedding the P-term model in supergravity and show how these can be solved by considering the truncation from an N=2 theory to N=1. We show that with a simple gauging the scalar potential can include F-term or D-term parts but not both. The gauging can be altered so that both F-terms and D-terms containing FI constants can be included. In all cases we display the inflationary trajectory and, if it exists, the supersymmetric minimum.
| 9.638807
| 8.836216
| 9.590189
| 8.668743
| 8.738512
| 8.652711
| 9.188102
| 8.831985
| 8.821389
| 10.430779
| 8.646242
| 8.490967
| 8.879267
| 8.196967
| 8.776592
| 8.311806
| 8.595436
| 8.544522
| 8.535207
| 9.124788
| 8.552959
|
hep-th/0002186
|
Mark Van Raamsdonk
|
Mark Van Raamsdonk and Nathan Seiberg
|
Comments on Noncommutative Perturbative Dynamics
|
21 pages, 6 figures, harvmac; v2: a clarifying comment added
|
JHEP 0003:035,2000
|
10.1088/1126-6708/2000/03/035
|
IASSNS-HEP-00/13, PUPT-1920
|
hep-th
| null |
We analyze further the IR singularities that appear in noncommutative field
theories on R^d. We argue that all IR singularities in nonplanar one loop
diagrams may be interpreted as arising from the tree level exchanges of new
light degrees of freedom, one coupling to each relevant operator. These
exchanges are reminiscent of closed string exchanges in the double twist
diagrams in open string theory. Some of these degrees of freedom are required
to have propagators that are inverse linear or logarithmic. We suggest that
these can be interpreted as free propagators in one or two extra dimensions
respectively. We also calculate some of the IR singular terms appearing at two
loops in noncommutative scalar field theories and find a complicated momentum
dependence which is more difficult to interpret.
|
[
{
"created": "Tue, 22 Feb 2000 21:48:22 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Mar 2000 18:32:14 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Van Raamsdonk",
"Mark",
""
],
[
"Seiberg",
"Nathan",
""
]
] |
We analyze further the IR singularities that appear in noncommutative field theories on R^d. We argue that all IR singularities in nonplanar one loop diagrams may be interpreted as arising from the tree level exchanges of new light degrees of freedom, one coupling to each relevant operator. These exchanges are reminiscent of closed string exchanges in the double twist diagrams in open string theory. Some of these degrees of freedom are required to have propagators that are inverse linear or logarithmic. We suggest that these can be interpreted as free propagators in one or two extra dimensions respectively. We also calculate some of the IR singular terms appearing at two loops in noncommutative scalar field theories and find a complicated momentum dependence which is more difficult to interpret.
| 12.182724
| 11.630206
| 13.521593
| 10.851999
| 12.348764
| 12.251313
| 12.860436
| 11.297191
| 11.308841
| 13.074396
| 11.566109
| 11.249894
| 11.974144
| 11.472495
| 11.408111
| 11.374745
| 11.891512
| 11.073184
| 11.34188
| 12.34777
| 11.32968
|
hep-th/0606170
|
Gerardo Cristofano
|
Gerardo Cristofano, Vincenzo Marotta, Petter Minnhagen, Adele Naddeo,
Giuliano Niccoli
|
CFT description of the Fully Frustrated XY model and phase diagram
analysis
|
18 pages, 1 figure, to appear in JSTAT
|
J.Stat.Mech.0611:P11009,2006
|
10.1088/1742-5468/2006/11/P11009
|
Napoli DSF-T-08/2006, INFN-NA-08/2006
|
hep-th
| null |
Following a suggestion given in Nucl. Phys. B 300 (1988)611,we show how the
U(1)*Z_{2} symmetry of the fully frustrated XY (FFXY) model on a square lattice
can be accounted for in the framework of the m-reduction procedure developed
for a Quantum Hall system at "paired states" fillings nu =1 (cfr. Cristofano et
al.,Mod. Phys. Lett. A 15 (2000)1679;Nucl. Phys. B 641 (2002)547). The
resulting twisted conformal field theory (CFT) with central charge c=2 is shown
to well describe the physical properties of the FFXY model. In particular the
whole phase diagram is recovered by analyzing the flow from the Z_{2}
degenerate vacuum of the c=2 CFT to the infrared fixed point unique vacuum of
the c=3/2 CFT. The last theory is known to successfully describe the critical
behavior of the system at the overlap temperature for the Ising and
vortex-unbinding transitions.
|
[
{
"created": "Mon, 19 Jun 2006 07:49:38 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Oct 2006 14:56:12 GMT",
"version": "v2"
}
] |
2011-02-16
|
[
[
"Cristofano",
"Gerardo",
""
],
[
"Marotta",
"Vincenzo",
""
],
[
"Minnhagen",
"Petter",
""
],
[
"Naddeo",
"Adele",
""
],
[
"Niccoli",
"Giuliano",
""
]
] |
Following a suggestion given in Nucl. Phys. B 300 (1988)611,we show how the U(1)*Z_{2} symmetry of the fully frustrated XY (FFXY) model on a square lattice can be accounted for in the framework of the m-reduction procedure developed for a Quantum Hall system at "paired states" fillings nu =1 (cfr. Cristofano et al.,Mod. Phys. Lett. A 15 (2000)1679;Nucl. Phys. B 641 (2002)547). The resulting twisted conformal field theory (CFT) with central charge c=2 is shown to well describe the physical properties of the FFXY model. In particular the whole phase diagram is recovered by analyzing the flow from the Z_{2} degenerate vacuum of the c=2 CFT to the infrared fixed point unique vacuum of the c=3/2 CFT. The last theory is known to successfully describe the critical behavior of the system at the overlap temperature for the Ising and vortex-unbinding transitions.
| 10.214972
| 9.736234
| 10.487896
| 8.747817
| 10.065272
| 9.207937
| 9.350816
| 9.694919
| 9.894609
| 12.17743
| 9.334781
| 9.788199
| 10.255143
| 9.726247
| 9.525449
| 9.592116
| 9.57255
| 9.811394
| 9.588573
| 10.049756
| 9.770074
|
0706.1361
|
Silvia Vaula'
|
Silvia Vaula
|
Domain Wall/Cosmology correspondence in (AdS/dS)_6 x S^4 geometries
|
11 pages, LaTeX
|
Phys.Lett.B653:95-100,2007
|
10.1016/j.physletb.2007.07.048
| null |
hep-th
| null |
We investigate the ten dimensional origin of six dimensional F_4 variant
supergravity with supersymmetric de Sitter background. We address first the
issue of spontaneous compactification, showing that it consists of a warped
compactification on a four sphere of a variant massive type IIA supergravity.
Moreover we illustrate how the known D4-D8 brane solution, whose near horizon
geometry yields AdS_6 x S^4, is accordingly modified to a system including
Euclidean branes. Finally, we discuss the relation between this latter solution
and the D4-D8 brane system, showing how it represents a generalisation of the
DW/Cosmology correspondence.
|
[
{
"created": "Sun, 10 Jun 2007 15:20:37 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Vaula",
"Silvia",
""
]
] |
We investigate the ten dimensional origin of six dimensional F_4 variant supergravity with supersymmetric de Sitter background. We address first the issue of spontaneous compactification, showing that it consists of a warped compactification on a four sphere of a variant massive type IIA supergravity. Moreover we illustrate how the known D4-D8 brane solution, whose near horizon geometry yields AdS_6 x S^4, is accordingly modified to a system including Euclidean branes. Finally, we discuss the relation between this latter solution and the D4-D8 brane system, showing how it represents a generalisation of the DW/Cosmology correspondence.
| 14.446889
| 15.015025
| 17.252048
| 14.112285
| 15.437642
| 15.408607
| 15.359011
| 15.574129
| 14.878788
| 16.097555
| 14.351409
| 14.258329
| 15.309401
| 13.893033
| 13.79904
| 13.700847
| 13.82117
| 14.095081
| 14.15455
| 14.8275
| 13.484406
|
2007.08249
|
Francesco Becattini
|
F. Becattini, M. Buzzegoli, A. Palermo (University of Florence and
INFN)
|
Exact equilibrium distributions in statistical quantum field theory with
rotation and acceleration: scalar field
|
38 pages, 1 figure. Final proofread version published in JHEP
| null |
10.1007/JHEP02(2021)101
| null |
hep-th cond-mat.stat-mech gr-qc math-ph math.MP nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive a general exact form of the phase space distribution function and
the thermal expectation values of local operators for the free quantum scalar
field at equilibrium with rotation and acceleration in flat space-time without
solving field equations in curvilinear coordinates. After factorizing the
density operator with group theoretical methods, we obtain the exact form of
the phase space distribution function as a formal series in thermal vorticity
through an iterative method and we calculate thermal expectation values by
means of analytic continuation techniques. We separately discuss the cases of
pure rotation and pure acceleration and derive analytic results for the
stress-energy tensor of the massless field. The expressions found agree with
the exact analytic solutions obtained by solving the field equation in suitable
curvilinear coordinates for the two cases at stake and already - or implicitly
- known in literature. In order to extract finite values for the pure
acceleration case we introduce the concept of analytic distillation of a
complex function. For the massless field, the obtained expressions of the
currents are polynomials in the acceleration/temperature ratios which vanish at
$2\pi$, in full accordance with the Unruh effect.
|
[
{
"created": "Thu, 16 Jul 2020 10:48:39 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Aug 2020 16:06:23 GMT",
"version": "v2"
},
{
"created": "Tue, 2 Feb 2021 16:39:38 GMT",
"version": "v3"
},
{
"created": "Wed, 17 Feb 2021 16:35:39 GMT",
"version": "v4"
}
] |
2021-03-17
|
[
[
"Becattini",
"F.",
"",
"University of Florence and\n INFN"
],
[
"Buzzegoli",
"M.",
"",
"University of Florence and\n INFN"
],
[
"Palermo",
"A.",
"",
"University of Florence and\n INFN"
]
] |
We derive a general exact form of the phase space distribution function and the thermal expectation values of local operators for the free quantum scalar field at equilibrium with rotation and acceleration in flat space-time without solving field equations in curvilinear coordinates. After factorizing the density operator with group theoretical methods, we obtain the exact form of the phase space distribution function as a formal series in thermal vorticity through an iterative method and we calculate thermal expectation values by means of analytic continuation techniques. We separately discuss the cases of pure rotation and pure acceleration and derive analytic results for the stress-energy tensor of the massless field. The expressions found agree with the exact analytic solutions obtained by solving the field equation in suitable curvilinear coordinates for the two cases at stake and already - or implicitly - known in literature. In order to extract finite values for the pure acceleration case we introduce the concept of analytic distillation of a complex function. For the massless field, the obtained expressions of the currents are polynomials in the acceleration/temperature ratios which vanish at $2\pi$, in full accordance with the Unruh effect.
| 13.065475
| 13.381354
| 13.865211
| 12.745193
| 12.856846
| 13.953635
| 14.183172
| 12.774498
| 12.556996
| 14.720911
| 12.821264
| 12.915142
| 12.78879
| 12.983103
| 12.745811
| 12.738369
| 12.995457
| 12.723527
| 13.089452
| 13.04271
| 12.622468
|
1602.05934
|
Juan Pedraza
|
Sandipan Kundu, Juan F. Pedraza
|
Spread of entanglement for small subsystems in holographic CFTs
|
47 pages, multiple figures. v2: minor changes and new references
added. To appear in PRD
|
Phys. Rev. D 95, 086008 (2017)
|
10.1103/PhysRevD.95.086008
| null |
hep-th cond-mat.str-el gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We develop an analytic perturbative expansion to study the propagation of
entanglement entropy for small subsystems after a global quench, in the context
of the AdS/CFT correspondence. Opposite to the large interval limit, in this
case the evolution of the system takes place at timescales that are shorter in
comparison to the local equilibration scale and thus, different physical
mechanisms govern the dynamics and subsequent thermalization. In particular, we
show that the heuristic picture in terms of a "entanglement tsunami" does not
apply in this regime. We find two crucial differences. First, that the
instantaneous rate of growth of the entanglement is not constrained by
causality, but rather its time average. And second, that the approach to
saturation is always continuous, regardless the shape of the entangling
surface. Our analytic expansion also enables us to verify some previous
numerical results, namely, that the saturation time is non-monotonic with
respect to the chemical potential. All of our results are pertinent to CFTs
with a classical gravity dual formulation.
|
[
{
"created": "Thu, 18 Feb 2016 20:37:13 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Mar 2017 13:42:17 GMT",
"version": "v2"
}
] |
2017-04-13
|
[
[
"Kundu",
"Sandipan",
""
],
[
"Pedraza",
"Juan F.",
""
]
] |
We develop an analytic perturbative expansion to study the propagation of entanglement entropy for small subsystems after a global quench, in the context of the AdS/CFT correspondence. Opposite to the large interval limit, in this case the evolution of the system takes place at timescales that are shorter in comparison to the local equilibration scale and thus, different physical mechanisms govern the dynamics and subsequent thermalization. In particular, we show that the heuristic picture in terms of a "entanglement tsunami" does not apply in this regime. We find two crucial differences. First, that the instantaneous rate of growth of the entanglement is not constrained by causality, but rather its time average. And second, that the approach to saturation is always continuous, regardless the shape of the entangling surface. Our analytic expansion also enables us to verify some previous numerical results, namely, that the saturation time is non-monotonic with respect to the chemical potential. All of our results are pertinent to CFTs with a classical gravity dual formulation.
| 9.024543
| 8.68053
| 10.104671
| 9.123633
| 8.873155
| 9.463069
| 9.107188
| 9.168558
| 8.9496
| 10.623487
| 9.070783
| 8.935843
| 9.363652
| 9.028329
| 8.930726
| 9.218648
| 9.101109
| 9.134677
| 9.020998
| 9.340715
| 8.839432
|
hep-th/0305033
|
Francisco J. Herranz
|
Angel Ballesteros, N. Rossano Bruno and Francisco J. Herranz
|
A new Doubly Special Relativity theory from a quantum Weyl-Poincare
algebra
|
13 pages, LaTeX; some references and figures added, and terminology
is more precise
|
J.Phys.A36:10493-10503,2003
|
10.1088/0305-4470/36/42/006
| null |
hep-th math.QA
| null |
A mass-like quantum Weyl-Poincare algebra is proposed to describe, after the
identification of the deformation parameter with the Planck length, a new
relativistic theory with two observer-independent scales (or DSR theory).
Deformed momentum representation, finite boost transformations, range of
rapidity, energy and momentum, as well as position and velocity operators are
explicitly studied and compared with those of previous DSR theories based on
kappa-Poincare algebra. The main novelties of the DSR theory here presented are
the new features of momentum saturation and a new type of deformed position
operators.
|
[
{
"created": "Mon, 5 May 2003 11:17:04 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Sep 2003 12:28:11 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Ballesteros",
"Angel",
""
],
[
"Bruno",
"N. Rossano",
""
],
[
"Herranz",
"Francisco J.",
""
]
] |
A mass-like quantum Weyl-Poincare algebra is proposed to describe, after the identification of the deformation parameter with the Planck length, a new relativistic theory with two observer-independent scales (or DSR theory). Deformed momentum representation, finite boost transformations, range of rapidity, energy and momentum, as well as position and velocity operators are explicitly studied and compared with those of previous DSR theories based on kappa-Poincare algebra. The main novelties of the DSR theory here presented are the new features of momentum saturation and a new type of deformed position operators.
| 14.799091
| 13.437188
| 14.679328
| 12.248941
| 13.29859
| 12.45378
| 13.446074
| 14.033721
| 13.77351
| 16.953478
| 13.275891
| 14.697451
| 14.560603
| 14.039575
| 13.890811
| 13.906269
| 14.993211
| 13.589832
| 14.637506
| 13.856503
| 13.754585
|
2011.02753
|
Mohammad R. Garousi
|
Mohammad R. Garousi
|
Effective action of type II superstring theories at order $\alpha'^3$:
NS-NS couplings
|
30 pages, Latex file, no figure; v2: references added, some
clarifications for the presence of $z_2$-symmetry at order $\alpha'^3$ added,
the version appears in JHEP
| null |
10.1007/JHEP02(2021)157
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently, it has been shown that the minimum number of gauge invariant
couplings for $B$-field, metric and dilaton at order $\alpha'^3$ is 872. These
couplings, in a particular scheme, appear in 55 different structures. In this
paper, up to an overall factor, we fix all parameters in type II supertirng
theories by requiring the reduction of the couplings on a circle to be
invariant under T-duality transformations. We find that there are 445 non-zero
couplings which appear in 15 different structures. The couplings are fully
consistent with the partial couplings that have been found in the literature by
the four-point S-matrix element and by the non-linear Sigma model methods.
|
[
{
"created": "Thu, 5 Nov 2020 10:54:26 GMT",
"version": "v1"
},
{
"created": "Sat, 16 Jan 2021 05:56:42 GMT",
"version": "v2"
}
] |
2021-03-17
|
[
[
"Garousi",
"Mohammad R.",
""
]
] |
Recently, it has been shown that the minimum number of gauge invariant couplings for $B$-field, metric and dilaton at order $\alpha'^3$ is 872. These couplings, in a particular scheme, appear in 55 different structures. In this paper, up to an overall factor, we fix all parameters in type II supertirng theories by requiring the reduction of the couplings on a circle to be invariant under T-duality transformations. We find that there are 445 non-zero couplings which appear in 15 different structures. The couplings are fully consistent with the partial couplings that have been found in the literature by the four-point S-matrix element and by the non-linear Sigma model methods.
| 12.584207
| 9.934176
| 12.865782
| 10.487432
| 10.949235
| 10.776705
| 10.147449
| 10.175345
| 10.602511
| 15.355767
| 10.343826
| 10.457793
| 12.129185
| 11.160195
| 11.076509
| 11.594864
| 11.035861
| 11.091009
| 11.151472
| 12.258072
| 11.820271
|
hep-th/0606225
|
Eduardo Rodr\'iguez
|
Fernando Izaurieta, Eduardo Rodr\'iguez, Patricio Salgado
|
Eleven-Dimensional Gauge Theory for the M Algebra as an Abelian
Semigroup Expansion of osp(32|1)
|
11 pages, 1 figure. v3: updated notation and terminology; published
version
|
Eur.Phys.J.C54:675-684,2008
|
10.1140/epjc/s10052-008-0540-7
|
GACG/05/2006
|
hep-th
| null |
A new Lagrangian realizing the symmetry of the M Algebra in
eleven-dimensional space-time is presented. By means of the novel technique of
Abelian Semigroup Expansion, a link between the M Algebra and the
orthosymplectic algebra osp(32|1) is established, and an M Algebra-invariant
symmetric tensor of rank six is computed. This symmetric invariant tensor is a
key ingredient in the construction of the new Lagrangian. The gauge-invariant
Lagrangian is displayed in an explicitly Lorentz-invariant way by means of a
subspace separation method based on the extended Cartan homotopy formula.
|
[
{
"created": "Thu, 22 Jun 2006 14:52:56 GMT",
"version": "v1"
},
{
"created": "Mon, 31 Jul 2006 20:13:41 GMT",
"version": "v2"
},
{
"created": "Wed, 23 Jan 2008 04:06:30 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Izaurieta",
"Fernando",
""
],
[
"Rodríguez",
"Eduardo",
""
],
[
"Salgado",
"Patricio",
""
]
] |
A new Lagrangian realizing the symmetry of the M Algebra in eleven-dimensional space-time is presented. By means of the novel technique of Abelian Semigroup Expansion, a link between the M Algebra and the orthosymplectic algebra osp(32|1) is established, and an M Algebra-invariant symmetric tensor of rank six is computed. This symmetric invariant tensor is a key ingredient in the construction of the new Lagrangian. The gauge-invariant Lagrangian is displayed in an explicitly Lorentz-invariant way by means of a subspace separation method based on the extended Cartan homotopy formula.
| 10.028315
| 8.277147
| 10.921859
| 8.246583
| 8.91387
| 7.824161
| 8.006467
| 8.069455
| 8.072231
| 10.318381
| 8.316061
| 8.662556
| 9.434956
| 8.834609
| 8.920305
| 8.695435
| 8.590883
| 8.791618
| 8.480021
| 9.340836
| 8.663465
|
1404.4867
|
Gleb Zhilin
|
Ya. Shnir, G. Zhilin
|
Gauged Hopfions
|
10 pages, 5 figures
|
Phys. Rev. D 89, 105010 (2014)
|
10.1103/PhysRevD.89.105010
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss the $U(1)$ gauged version of the 3+1 dimensional Faddeev-Skyrme
model supplemented by the Maxwell term. We show that there exist axially
symmetric static solutions coupled to the non-integer toroidal flux of magnetic
field, which revert to the usual Hopfions ${\cal A}_{m,n}$ of lower degrees
$Q=mn$ in the limit of the gauge coupling constant vanishing. The masses of the
static gauged Hopfions are found to be less than the corresponding masses of
the usual ungauged solitons ${\cal A}_{1,1}$ and ${\cal A}_{2,1}$ respectively,
they become lighter as gauge coupling increases. The dependence of the
solutions on the gauge coupling is investigated. We find that in the strong
coupling regime the gauged Hopfion carries two magnetic fluxes, which are
quantized in units of $2\pi$, carrying $n$ and $m$ quanta respectively. The
first flux encircles the position curve and the second one is directed along
the symmetry axis. Effective quantization of the field in the gauge sector may
allow us to reconsider the usual arguments concerning the lower topological
bound in the Faddeev-Skyrme-Maxwell model.
|
[
{
"created": "Fri, 18 Apr 2014 19:49:33 GMT",
"version": "v1"
}
] |
2014-05-21
|
[
[
"Shnir",
"Ya.",
""
],
[
"Zhilin",
"G.",
""
]
] |
We discuss the $U(1)$ gauged version of the 3+1 dimensional Faddeev-Skyrme model supplemented by the Maxwell term. We show that there exist axially symmetric static solutions coupled to the non-integer toroidal flux of magnetic field, which revert to the usual Hopfions ${\cal A}_{m,n}$ of lower degrees $Q=mn$ in the limit of the gauge coupling constant vanishing. The masses of the static gauged Hopfions are found to be less than the corresponding masses of the usual ungauged solitons ${\cal A}_{1,1}$ and ${\cal A}_{2,1}$ respectively, they become lighter as gauge coupling increases. The dependence of the solutions on the gauge coupling is investigated. We find that in the strong coupling regime the gauged Hopfion carries two magnetic fluxes, which are quantized in units of $2\pi$, carrying $n$ and $m$ quanta respectively. The first flux encircles the position curve and the second one is directed along the symmetry axis. Effective quantization of the field in the gauge sector may allow us to reconsider the usual arguments concerning the lower topological bound in the Faddeev-Skyrme-Maxwell model.
| 7.283113
| 6.947587
| 8.138495
| 6.983912
| 7.083679
| 7.254671
| 7.254134
| 7.15956
| 6.77566
| 8.793964
| 6.891531
| 7.088104
| 7.32945
| 6.940105
| 7.001817
| 7.149175
| 7.185354
| 7.119244
| 7.250507
| 7.329243
| 7.045925
|
1002.2846
|
Saharian
|
E. Elizalde, A. A. Saharian, T. A. Vardanyan
|
Casimir effect for parallel plates in de Sitter spacetime
|
22 pages, 4 figures, added figures for a massless field, added
reference, added discussions and comments on thermal effects
|
Phys.Rev.D 81 (2010) 124003
|
10.1103/PhysRevD.81.124003
| null |
hep-th astro-ph.CO gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Wightman function and the vacuum expectation values of the field squared
and of the energy-momentum tensor are obtained, for a massive scalar field with
an arbitrary curvature coupling parameter, in the region between two infinite
parallel plates, on the background of de Sitter spacetime. The field is
prepared in the Bunch-Davies vacuum state and is constrained to satisfy Robin
boundary conditions on the plates. For the calculation, a mode-summation method
is used, supplemented with a variant of the generalized Abel-Plana formula.
This allows to explicitly extract the contributions to the expectation values
which come from each single boundary, and to expand the second-plate-induced
part in terms of exponentially convergent integrals. Several limiting cases of
interest are then studied. Moreover, the Casimir forces acting on the plates
are evaluated, and it is shown that the curvature of the background spacetime
decisively influences the behavior of these forces at separations larger than
the curvature scale of de Sitter spacetime. In terms of the curvature coupling
parameter and the mass of the field, two very different regimes are realized,
which exhibit monotonic and oscillatory behavior of the vacuum expectation
values, respectively. The decay of the Casimir force at large plate separation
is shown to be power-law (monotonic or oscillating), with independence of the
value of the field mass.
|
[
{
"created": "Mon, 15 Feb 2010 10:14:21 GMT",
"version": "v1"
},
{
"created": "Tue, 11 May 2010 10:34:45 GMT",
"version": "v2"
}
] |
2013-05-29
|
[
[
"Elizalde",
"E.",
""
],
[
"Saharian",
"A. A.",
""
],
[
"Vardanyan",
"T. A.",
""
]
] |
The Wightman function and the vacuum expectation values of the field squared and of the energy-momentum tensor are obtained, for a massive scalar field with an arbitrary curvature coupling parameter, in the region between two infinite parallel plates, on the background of de Sitter spacetime. The field is prepared in the Bunch-Davies vacuum state and is constrained to satisfy Robin boundary conditions on the plates. For the calculation, a mode-summation method is used, supplemented with a variant of the generalized Abel-Plana formula. This allows to explicitly extract the contributions to the expectation values which come from each single boundary, and to expand the second-plate-induced part in terms of exponentially convergent integrals. Several limiting cases of interest are then studied. Moreover, the Casimir forces acting on the plates are evaluated, and it is shown that the curvature of the background spacetime decisively influences the behavior of these forces at separations larger than the curvature scale of de Sitter spacetime. In terms of the curvature coupling parameter and the mass of the field, two very different regimes are realized, which exhibit monotonic and oscillatory behavior of the vacuum expectation values, respectively. The decay of the Casimir force at large plate separation is shown to be power-law (monotonic or oscillating), with independence of the value of the field mass.
| 6.256111
| 3.915455
| 6.604491
| 4.313362
| 3.843582
| 3.855798
| 4.19145
| 4.140002
| 4.234122
| 7.043337
| 4.243267
| 5.005763
| 6.021482
| 5.453975
| 5.333249
| 5.184019
| 5.35122
| 5.293255
| 5.590682
| 6.132476
| 5.423461
|
hep-th/9604056
|
Amit Ghosh
|
Amit Ghosh
|
QED_2 in Curved Backgrounds
|
31 pages, latex, no figures, minor error corrected
| null | null |
SINP/TNP/96-06
|
hep-th
| null |
Here we discuss the two dimensional quantum electrodynamics in curved
space-time, especially in the background of some black holes. We first show the
existence of some new quantum mechanical solution which has interesting
properties. Then for some special black holes we discuss the fermion-black hole
scattering problem. The issue of confinement is intimately connected with these
solutions and we also comment on this in this background. Finally, the
entanglement entropy and the Hawking radiation are also discussed in this
background from a slightly different viewpoint.
|
[
{
"created": "Wed, 10 Apr 1996 21:37:15 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Apr 1996 05:07:41 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Ghosh",
"Amit",
""
]
] |
Here we discuss the two dimensional quantum electrodynamics in curved space-time, especially in the background of some black holes. We first show the existence of some new quantum mechanical solution which has interesting properties. Then for some special black holes we discuss the fermion-black hole scattering problem. The issue of confinement is intimately connected with these solutions and we also comment on this in this background. Finally, the entanglement entropy and the Hawking radiation are also discussed in this background from a slightly different viewpoint.
| 12.505181
| 11.328851
| 11.551092
| 10.696851
| 11.964459
| 11.433619
| 11.20506
| 10.624289
| 11.216055
| 11.979469
| 11.051113
| 10.629374
| 11.139148
| 10.772515
| 10.781254
| 10.808123
| 10.572173
| 10.602081
| 10.603752
| 11.314445
| 10.705048
|
hep-th/9806169
|
Yolanda Lozano
|
Eduardo Eyras, Bert Janssen and Yolanda Lozano
|
5-branes, KK-monopoles and T-duality
|
latex file, 34 pgs, 3 figures, typos corrected, version to appear in
Nucl. Phys. B
|
Nucl.Phys. B531 (1998) 275-301
|
10.1016/S0550-3213(98)00575-6
|
UG-12/98, QMW-PH-98-26
|
hep-th
| null |
We construct the explicit worldvolume effective actions of the type IIB
NS-5-brane and KK-monopole. These objects are obtained through a T-duality
transformation from the IIA KK-monopole and the IIA NS-5-brane respectively. We
show that the worldvolume field content of these actions is precisely that
necessary to describe their worldvolume solitons. The IIB NS-5-brane effective
action is shown to be related to the D-5-brane's by an S-duality
transformation, suggesting the way to construct (p,q) 5-brane multiplets. The
IIB KK-monopole is described by a gauged sigma model, in agreement with the
general picture for KK-monopoles, and behaves as a singlet under S-duality. We
derive the explicit T-duality rules NS-5-brane -- KK, which we use for the
construction of the previous actions, as well as NS-5 -- NS-5, and KK -- KK.
|
[
{
"created": "Fri, 19 Jun 1998 16:53:23 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Aug 1998 15:34:06 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Eyras",
"Eduardo",
""
],
[
"Janssen",
"Bert",
""
],
[
"Lozano",
"Yolanda",
""
]
] |
We construct the explicit worldvolume effective actions of the type IIB NS-5-brane and KK-monopole. These objects are obtained through a T-duality transformation from the IIA KK-monopole and the IIA NS-5-brane respectively. We show that the worldvolume field content of these actions is precisely that necessary to describe their worldvolume solitons. The IIB NS-5-brane effective action is shown to be related to the D-5-brane's by an S-duality transformation, suggesting the way to construct (p,q) 5-brane multiplets. The IIB KK-monopole is described by a gauged sigma model, in agreement with the general picture for KK-monopoles, and behaves as a singlet under S-duality. We derive the explicit T-duality rules NS-5-brane -- KK, which we use for the construction of the previous actions, as well as NS-5 -- NS-5, and KK -- KK.
| 6.343419
| 5.98285
| 7.726237
| 6.368168
| 6.016812
| 5.934277
| 6.115096
| 6.16471
| 5.565763
| 7.890538
| 5.940725
| 5.974212
| 6.698715
| 6.1183
| 6.211442
| 5.980118
| 6.034703
| 5.998023
| 6.050128
| 6.685739
| 5.843606
|
0708.3056
|
G. S. Krishnaswami
|
Govind S. Krishnaswami
|
Schwinger-Dyson operator of Yang-Mills matrix models with ghosts and
derivations of the graded shuffle algebra
|
13 pages, added discussion & references, title changed, minor
corrections, published version
|
J.Phys.A41:145402,2008
|
10.1088/1751-8113/41/14/145402
|
ITP-UU-07/43, SPIN-07/31, DCPT-09/93
|
hep-th
| null |
We consider large-N multi-matrix models whose action closely mimics that of
Yang-Mills theory, including gauge-fixing and ghost terms. We show that the
factorized Schwinger-Dyson loop equations, expressed in terms of the generating
series of gluon and ghost correlations G(xi), are quadratic equations S^i G = G
xi^i G in concatenation of correlations. The Schwinger-Dyson operator S^i is
built from the left annihilation operator, which does not satisfy the Leibnitz
rule with respect to concatenation. So the loop equations are not differential
equations. We show that left annihilation is a derivation of the graded shuffle
product of gluon and ghost correlations. The shuffle product is the point-wise
product of Wilson loops, expressed in terms of correlations. So in the limit
where concatenation is approximated by shuffle products, the loop equations
become differential equations. Remarkably, the Schwinger-Dyson operator as a
whole is also a derivation of the graded shuffle product. This allows us to
turn the loop equations into linear equations for the shuffle reciprocal, which
might serve as a starting point for an approximation scheme.
|
[
{
"created": "Wed, 22 Aug 2007 17:11:49 GMT",
"version": "v1"
},
{
"created": "Sat, 5 Apr 2008 12:10:08 GMT",
"version": "v2"
}
] |
2015-03-13
|
[
[
"Krishnaswami",
"Govind S.",
""
]
] |
We consider large-N multi-matrix models whose action closely mimics that of Yang-Mills theory, including gauge-fixing and ghost terms. We show that the factorized Schwinger-Dyson loop equations, expressed in terms of the generating series of gluon and ghost correlations G(xi), are quadratic equations S^i G = G xi^i G in concatenation of correlations. The Schwinger-Dyson operator S^i is built from the left annihilation operator, which does not satisfy the Leibnitz rule with respect to concatenation. So the loop equations are not differential equations. We show that left annihilation is a derivation of the graded shuffle product of gluon and ghost correlations. The shuffle product is the point-wise product of Wilson loops, expressed in terms of correlations. So in the limit where concatenation is approximated by shuffle products, the loop equations become differential equations. Remarkably, the Schwinger-Dyson operator as a whole is also a derivation of the graded shuffle product. This allows us to turn the loop equations into linear equations for the shuffle reciprocal, which might serve as a starting point for an approximation scheme.
| 8.526878
| 9.738369
| 9.5507
| 7.963781
| 10.216462
| 9.4828
| 9.513986
| 8.312169
| 8.376735
| 10.451654
| 8.24419
| 8.240414
| 8.908425
| 8.262961
| 8.608239
| 8.136339
| 8.469102
| 8.204311
| 8.362275
| 9.051094
| 8.146487
|
1505.01537
|
Domenico Orlando
|
Simeon Hellerman and Domenico Orlando and Susanne Reffert and Masataka
Watanabe
|
On the CFT Operator Spectrum at Large Global Charge
|
Typos corrected. References added
| null |
10.1007/JHEP12(2015)071
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We calculate the anomalous dimensions of operators with large global charge
$J$ in certain strongly coupled conformal field theories in three dimensions,
such as the O(2) model and the supersymmetric fixed point with a single chiral
superfield and a $W = \Phi^3$ superpotential. Working in a $1/J$ expansion, we
find that the large-$J$ sector of both examples is controlled by a conformally
invariant effective Lagrangian for a Goldstone boson of the global symmetry.
For both these theories, we find that the lowest state with charge $J$ is
always a scalar operator whose dimension $\Delta_J$ satisfies the sum rule $
J^2 \Delta_J - \left( \tfrac{J^2}{2} + \tfrac{J}{4} + \tfrac{3}{16} \right)
\Delta_{J-1} - \left( \tfrac{J^2}{2} - \tfrac{J}{4} + \tfrac{3}{16} \right)
\Delta_{J+1} = 0.035147 $ up to corrections that vanish at large $J$. The
spectrum of low-lying excited states is also calculable explcitly: For example,
the second-lowest primary operator has spin two and dimension $\Delta\ll J +
\sqrt{3}$. In the supersymmetric case, the dimensions of all half-integer-spin
operators lie above the dimensions of the integer-spin operators by a gap of
order $J^{1/2}$. The propagation speeds of the Goldstone waves and heavy
fermions are $\frac{1}{\sqrt{2}}$ and $\pm \frac{1}{2}$ times the speed of
light, respectively. These values, including the negative one, are necessary
for the consistent realization of the superconformal symmetry at large $J$.
|
[
{
"created": "Wed, 6 May 2015 23:05:37 GMT",
"version": "v1"
},
{
"created": "Wed, 13 May 2015 09:54:48 GMT",
"version": "v2"
},
{
"created": "Sun, 20 Dec 2015 16:04:13 GMT",
"version": "v3"
},
{
"created": "Tue, 3 Dec 2019 13:01:00 GMT",
"version": "v4"
}
] |
2019-12-04
|
[
[
"Hellerman",
"Simeon",
""
],
[
"Orlando",
"Domenico",
""
],
[
"Reffert",
"Susanne",
""
],
[
"Watanabe",
"Masataka",
""
]
] |
We calculate the anomalous dimensions of operators with large global charge $J$ in certain strongly coupled conformal field theories in three dimensions, such as the O(2) model and the supersymmetric fixed point with a single chiral superfield and a $W = \Phi^3$ superpotential. Working in a $1/J$ expansion, we find that the large-$J$ sector of both examples is controlled by a conformally invariant effective Lagrangian for a Goldstone boson of the global symmetry. For both these theories, we find that the lowest state with charge $J$ is always a scalar operator whose dimension $\Delta_J$ satisfies the sum rule $ J^2 \Delta_J - \left( \tfrac{J^2}{2} + \tfrac{J}{4} + \tfrac{3}{16} \right) \Delta_{J-1} - \left( \tfrac{J^2}{2} - \tfrac{J}{4} + \tfrac{3}{16} \right) \Delta_{J+1} = 0.035147 $ up to corrections that vanish at large $J$. The spectrum of low-lying excited states is also calculable explcitly: For example, the second-lowest primary operator has spin two and dimension $\Delta\ll J + \sqrt{3}$. In the supersymmetric case, the dimensions of all half-integer-spin operators lie above the dimensions of the integer-spin operators by a gap of order $J^{1/2}$. The propagation speeds of the Goldstone waves and heavy fermions are $\frac{1}{\sqrt{2}}$ and $\pm \frac{1}{2}$ times the speed of light, respectively. These values, including the negative one, are necessary for the consistent realization of the superconformal symmetry at large $J$.
| 5.184056
| 5.628001
| 5.92307
| 5.347302
| 5.64566
| 5.50533
| 5.769781
| 5.272909
| 5.520545
| 6.157423
| 5.341867
| 5.322495
| 5.452512
| 5.142085
| 5.198531
| 5.322465
| 5.322582
| 5.338661
| 5.214093
| 5.450689
| 5.153567
|
2007.09272
|
J. Antonio Garc\'ia Zenteno
|
J. Antonio Garc\'ia, D. Guti\'errez-Ruiz, R. Abraham S\'anchez-Isidro
|
Vertical extension of Noether Theorem for Scaling Symmetries
|
25 pages
| null | null | null |
hep-th gr-qc math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
The aim of this paper is to present a new approach to construct constants of
motion associated with scaling symmetries of dynamical systems. Scaling maps
could be symmetries of the equations of motion but not of its associated
Lagrangian action. We have constructed a Noether inspired theorem in a vertical
extended space that can be used to obtain constants of motion for these
symmetries. Noether theorem can be obtained as a particular case of our
construction. To illustrate how the procedure works, we present two interesting
examples, a) the Schwarzian Mechanics based on Schwarzian derivative operator
and b) the Korteweg-de Vries (KdV) non linear partial differential equation in
the context of the asymptotic dynamics of General Relativity on AdS$_3$. We
also study the inverse of Noether theorem for scaling symmetries and show how
we can construct and identify the generator of the scaling transformation, and
how it works for the vertical extended constant of motion that we are able to
construct. We find an interesting contribution to the symmetry associated with
the fact that the scaling symmetry is not a Noether symmetry of the action.
Finally, we have contrasted our results with recent analysis and previous
attempts to find constants of motion associated with these beautiful scaling
laws.
|
[
{
"created": "Fri, 17 Jul 2020 23:10:06 GMT",
"version": "v1"
}
] |
2020-07-21
|
[
[
"García",
"J. Antonio",
""
],
[
"Gutiérrez-Ruiz",
"D.",
""
],
[
"Sánchez-Isidro",
"R. Abraham",
""
]
] |
The aim of this paper is to present a new approach to construct constants of motion associated with scaling symmetries of dynamical systems. Scaling maps could be symmetries of the equations of motion but not of its associated Lagrangian action. We have constructed a Noether inspired theorem in a vertical extended space that can be used to obtain constants of motion for these symmetries. Noether theorem can be obtained as a particular case of our construction. To illustrate how the procedure works, we present two interesting examples, a) the Schwarzian Mechanics based on Schwarzian derivative operator and b) the Korteweg-de Vries (KdV) non linear partial differential equation in the context of the asymptotic dynamics of General Relativity on AdS$_3$. We also study the inverse of Noether theorem for scaling symmetries and show how we can construct and identify the generator of the scaling transformation, and how it works for the vertical extended constant of motion that we are able to construct. We find an interesting contribution to the symmetry associated with the fact that the scaling symmetry is not a Noether symmetry of the action. Finally, we have contrasted our results with recent analysis and previous attempts to find constants of motion associated with these beautiful scaling laws.
| 9.651547
| 9.508718
| 10.138981
| 9.306267
| 9.458875
| 9.722167
| 9.823117
| 9.419891
| 9.638478
| 10.203457
| 8.96184
| 9.118366
| 9.297733
| 9.08071
| 9.046881
| 9.201582
| 9.247764
| 8.99456
| 9.260046
| 9.115402
| 9.243484
|
2401.17361
|
Maxwell Hutt
|
Chris Hull, Maxwell L. Hutt, Ulf Lindstr\"om
|
Charges and topology in linearised gravity
|
37 pages + appendices
| null | null | null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
Covariant conserved 2-form currents for linearised gravity are constructed by
contracting the linearised curvature with conformal Killing-Yano tensors. The
corresponding conserved charges were originally introduced by Penrose and have
recently been interpreted as the generators of generalised symmetries of the
graviton. We introduce an off-shell refinement of these charges and find the
relation between these improved Penrose charges and the linearised version of
the ADM momentum and angular momentum. If the graviton field is globally
well-defined on a background Minkowski space then some of the Penrose charges
give the momentum and angular momentum while the remainder vanish. We consider
the generalisation in which the graviton has Dirac string singularities or is
defined locally in patches, in which case the conventional ADM expressions are
not invariant under the graviton gauge symmetry in general. We modify them to
render them gauge-invariant and show that the Penrose charges give these
modified charges plus certain magnetic gravitational charges. We discuss
properties of the Penrose charges, generalise to toroidal Kaluza-Klein
compactifications and check our results in a number of examples.
|
[
{
"created": "Tue, 30 Jan 2024 19:00:03 GMT",
"version": "v1"
}
] |
2024-02-01
|
[
[
"Hull",
"Chris",
""
],
[
"Hutt",
"Maxwell L.",
""
],
[
"Lindström",
"Ulf",
""
]
] |
Covariant conserved 2-form currents for linearised gravity are constructed by contracting the linearised curvature with conformal Killing-Yano tensors. The corresponding conserved charges were originally introduced by Penrose and have recently been interpreted as the generators of generalised symmetries of the graviton. We introduce an off-shell refinement of these charges and find the relation between these improved Penrose charges and the linearised version of the ADM momentum and angular momentum. If the graviton field is globally well-defined on a background Minkowski space then some of the Penrose charges give the momentum and angular momentum while the remainder vanish. We consider the generalisation in which the graviton has Dirac string singularities or is defined locally in patches, in which case the conventional ADM expressions are not invariant under the graviton gauge symmetry in general. We modify them to render them gauge-invariant and show that the Penrose charges give these modified charges plus certain magnetic gravitational charges. We discuss properties of the Penrose charges, generalise to toroidal Kaluza-Klein compactifications and check our results in a number of examples.
| 9.766697
| 10.281007
| 10.421784
| 9.51514
| 9.737875
| 10.202265
| 11.059631
| 10.148291
| 9.811953
| 11.327976
| 9.67809
| 9.568658
| 9.468536
| 9.231808
| 9.360771
| 9.321833
| 9.262022
| 9.21069
| 9.051672
| 9.499323
| 9.475568
|
hep-th/0307248
|
Tadashi Takayanagi
|
Shiraz Minwalla and Tadashi Takayanagi
|
Evolution of D-branes Under Closed String Tachyon Condensation
|
38 pages plus appendices, 9 figures, Harvmac
|
JHEP 0309:011,2003
|
10.1088/1126-6708/2003/09/011
|
HUTP-03/A046
|
hep-th
| null |
We study the evolution of stable D-branes of C/Z_n and twisted circle
theories in the process of closed string tachyon condensation. We interpret the
fractional branes in these backgrounds as type II branes wrapping (`blown up')
cycles, and trace the evolution of the corresponding cycles under tachyon
condensation. We also study RG flows of the corresponding N=2 boundary
conformal field theories. We find flows along which fractional D-branes either
disappear or evolve into other fractional D-branes, and other flows along which
bulk branes either disappear or evolve into stable branes.
|
[
{
"created": "Thu, 24 Jul 2003 20:39:09 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Minwalla",
"Shiraz",
""
],
[
"Takayanagi",
"Tadashi",
""
]
] |
We study the evolution of stable D-branes of C/Z_n and twisted circle theories in the process of closed string tachyon condensation. We interpret the fractional branes in these backgrounds as type II branes wrapping (`blown up') cycles, and trace the evolution of the corresponding cycles under tachyon condensation. We also study RG flows of the corresponding N=2 boundary conformal field theories. We find flows along which fractional D-branes either disappear or evolve into other fractional D-branes, and other flows along which bulk branes either disappear or evolve into stable branes.
| 10.133698
| 9.223091
| 12.895886
| 9.300185
| 10.685762
| 9.775226
| 9.500494
| 9.623514
| 9.011679
| 13.490746
| 9.309418
| 9.375344
| 10.727963
| 9.773932
| 9.39517
| 9.990818
| 9.690299
| 9.577415
| 9.877676
| 10.496126
| 9.551312
|
0807.2570
|
Anupam Mazumdar
|
A. Mazumdar, H. Stoica
|
Exciting gauge field and gravitons in a brane-anti-brane annihilation
|
4 pages 8 figs
|
Phys.Rev.Lett.102:091601,2009
|
10.1103/PhysRevLett.102.091601
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we point out the inevitability of an explosive production of
gauge field and gravity wave during an open string tachyon condensation in a
cosmological setting. We will be particularly studying an example of
brane-anti-brane inflation in a warped throat where inflation ends via tachyon
condensation. We point out that a tachyonic instability helps fragmenting the
homogeneous tachyon and excites gauge field and contributes to the stress
energy tensor which also feeds into the gravity waves.
|
[
{
"created": "Wed, 16 Jul 2008 13:40:07 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Mar 2009 15:04:25 GMT",
"version": "v2"
}
] |
2009-04-08
|
[
[
"Mazumdar",
"A.",
""
],
[
"Stoica",
"H.",
""
]
] |
In this paper we point out the inevitability of an explosive production of gauge field and gravity wave during an open string tachyon condensation in a cosmological setting. We will be particularly studying an example of brane-anti-brane inflation in a warped throat where inflation ends via tachyon condensation. We point out that a tachyonic instability helps fragmenting the homogeneous tachyon and excites gauge field and contributes to the stress energy tensor which also feeds into the gravity waves.
| 13.95
| 12.36917
| 12.689309
| 10.824781
| 12.634228
| 13.057793
| 13.381498
| 12.298677
| 11.089174
| 13.721421
| 11.868744
| 11.782023
| 11.831563
| 11.596413
| 11.654942
| 11.724301
| 11.459844
| 12.053825
| 11.152347
| 12.154587
| 12.484403
|
hep-th/0210131
|
Melanie Becker
|
Melanie Becker and Dragos Constantin
|
A Note on Flux Induced Superpotentials in String Theory
|
19 pages, no figures
|
JHEP 0308:015,2003
|
10.1088/1126-6708/2003/08/015
|
UMD-PP-03-015
|
hep-th
| null |
Non-vanishing fluxes in M-theory and string theory compactifications induce a
superpotential in the lower dimensional theory. Gukov has conjectured the
explicit form of this superpotential. We check this conjecture for the
heterotic string compactified on a Calabi-Yau three-fold as well as for warped
M-theory compactifications on Spin(7) holonomy manifolds, by performing a
Kaluza-Klein reduction.
|
[
{
"created": "Tue, 15 Oct 2002 04:39:24 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Aug 2003 14:48:35 GMT",
"version": "v2"
}
] |
2010-12-03
|
[
[
"Becker",
"Melanie",
""
],
[
"Constantin",
"Dragos",
""
]
] |
Non-vanishing fluxes in M-theory and string theory compactifications induce a superpotential in the lower dimensional theory. Gukov has conjectured the explicit form of this superpotential. We check this conjecture for the heterotic string compactified on a Calabi-Yau three-fold as well as for warped M-theory compactifications on Spin(7) holonomy manifolds, by performing a Kaluza-Klein reduction.
| 6.02402
| 4.01019
| 6.085645
| 4.431734
| 4.562158
| 4.116451
| 4.372688
| 4.698824
| 4.425295
| 6.53275
| 4.615969
| 4.501248
| 5.18736
| 4.740474
| 4.750283
| 4.60716
| 4.521583
| 4.545978
| 4.662075
| 5.248048
| 4.65383
|
1803.08907
|
Andrey Shkerin
|
Mikhail Shaposhnikov and Andrey Shkerin
|
Conformal symmetry: towards the link between the Fermi and the Planck
scales
|
12 pages, 6 figures; v2: published version
|
Phys.Lett. B783 (2018) 253-262
|
10.1016/j.physletb.2018.06.068
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
If the mass of the Higgs boson is put to zero, the classical Lagrangian of
the Standard Model (SM) becomes conformally invariant (CI). Taking into account
quantum non-perturbative QCD effects violating CI leads to electroweak symmetry
breaking with the scale $v \sim \Lambda_{\rm QCD}\sim 100$ MeV which is three
orders of magnitude less than it is observed experimentally. Depending on the
mass of the top quark, the radiative corrections may lead to another minimum of
the effective potential for the Higgs field with $v \gtrsim M_P$, where $M_P$
is the Planck mass, at least $16$ orders of magnitude more than it is observed.
We explore yet another source of CI breaking associated with gravity. We
suggest a non-perturbative mechanism that can reproduce the observed hierarchy
between the Fermi and the Planck scales, by constructing an instanton
configuration contributing to the vacuum expectation value of the Higgs field.
The crucial role in this effect is played by the non-minimal coupling of the
Higgs field to the Ricci scalar and by the approximate Weyl invariance of the
theory for large values of the Higgs field.
|
[
{
"created": "Fri, 23 Mar 2018 17:45:26 GMT",
"version": "v1"
},
{
"created": "Sun, 29 Jul 2018 18:57:26 GMT",
"version": "v2"
}
] |
2018-07-31
|
[
[
"Shaposhnikov",
"Mikhail",
""
],
[
"Shkerin",
"Andrey",
""
]
] |
If the mass of the Higgs boson is put to zero, the classical Lagrangian of the Standard Model (SM) becomes conformally invariant (CI). Taking into account quantum non-perturbative QCD effects violating CI leads to electroweak symmetry breaking with the scale $v \sim \Lambda_{\rm QCD}\sim 100$ MeV which is three orders of magnitude less than it is observed experimentally. Depending on the mass of the top quark, the radiative corrections may lead to another minimum of the effective potential for the Higgs field with $v \gtrsim M_P$, where $M_P$ is the Planck mass, at least $16$ orders of magnitude more than it is observed. We explore yet another source of CI breaking associated with gravity. We suggest a non-perturbative mechanism that can reproduce the observed hierarchy between the Fermi and the Planck scales, by constructing an instanton configuration contributing to the vacuum expectation value of the Higgs field. The crucial role in this effect is played by the non-minimal coupling of the Higgs field to the Ricci scalar and by the approximate Weyl invariance of the theory for large values of the Higgs field.
| 5.838821
| 5.84127
| 5.856703
| 5.698812
| 6.187119
| 6.218811
| 6.089797
| 6.102258
| 5.644562
| 6.157513
| 5.569341
| 5.652848
| 5.655409
| 5.641559
| 5.663879
| 5.715251
| 5.745112
| 5.64698
| 5.70825
| 5.733131
| 5.588051
|
1405.2083
|
Florian Kuhnel
|
Florian Kuhnel, Bo Sundborg
|
Decay of Graviton Condensates and their Generalizations in Arbitrary
Dimensions
|
9 pages, 1 table; v2: minor changes to match published version
| null |
10.1103/PhysRevD.90.064025
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Classicalons are self-bound classical field configurations, which include
black holes in General Relativity. In quantum theory, they are described by
condensates of many soft quanta. In this work, their decay properties are
studied in arbitrary dimensions. It is found that generically the decays of
other classicalons are enhanced compared to pure graviton condensates, ie.
black holes. The evaporation of higher dimensional graviton condensates turns
out to match Hawking radiation solely due to non-linearites captured by the
classicalon picture. Although less stable than black holes, all self-bound
condensates are shown to be stable in the limit of large mass. Like for black
holes, the effective coupling always scales as the inverse of the number of
constituents, indicating that these systems are at critical points of quantum
phase transitions. Consequences for cosmology, astro- and collider physics are
briefly discussed.
|
[
{
"created": "Thu, 8 May 2014 20:01:05 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Sep 2014 21:09:09 GMT",
"version": "v2"
}
] |
2015-06-19
|
[
[
"Kuhnel",
"Florian",
""
],
[
"Sundborg",
"Bo",
""
]
] |
Classicalons are self-bound classical field configurations, which include black holes in General Relativity. In quantum theory, they are described by condensates of many soft quanta. In this work, their decay properties are studied in arbitrary dimensions. It is found that generically the decays of other classicalons are enhanced compared to pure graviton condensates, ie. black holes. The evaporation of higher dimensional graviton condensates turns out to match Hawking radiation solely due to non-linearites captured by the classicalon picture. Although less stable than black holes, all self-bound condensates are shown to be stable in the limit of large mass. Like for black holes, the effective coupling always scales as the inverse of the number of constituents, indicating that these systems are at critical points of quantum phase transitions. Consequences for cosmology, astro- and collider physics are briefly discussed.
| 13.916737
| 13.915804
| 14.364701
| 12.692337
| 14.983202
| 14.65574
| 13.679168
| 12.87988
| 12.881751
| 14.443948
| 13.377718
| 12.96158
| 12.47702
| 12.919444
| 13.091028
| 13.078443
| 12.838969
| 12.610652
| 12.547788
| 13.133667
| 13.153778
|
1006.1922
|
Yun Soo Myung
|
Yun Soo Myung, Hyung Won Lee, Yong-Wan Kim
|
Entropic force versus temperature force
|
10 pages, 2 figures
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We introduce the cavity enclosing a source mass $M$ to define the temperature
force. Starting with the Tolman temperature in the stationary spacetime, we
find a non-relativistic temperature $T_{non}= T_\infty(1-\Phi/c^2)$ with the
Newtonian potential $\Phi$. This temperature could be also derived from the
Tolman-Ehrenfest effect, satisfying a relation of $T=T_{\infty}e^{-\Phi/c^2}$
with the local temperature $T$. Finally, we derive the temperature force
$\vec{F}_{tem}=mc^2(\vec{\nabla} \ln T )$ which leads to the Newtonian force
law without introducing the holographic screen defined by holographic principle
and equipartition law for entropic force.
|
[
{
"created": "Wed, 9 Jun 2010 22:46:30 GMT",
"version": "v1"
}
] |
2010-06-11
|
[
[
"Myung",
"Yun Soo",
""
],
[
"Lee",
"Hyung Won",
""
],
[
"Kim",
"Yong-Wan",
""
]
] |
We introduce the cavity enclosing a source mass $M$ to define the temperature force. Starting with the Tolman temperature in the stationary spacetime, we find a non-relativistic temperature $T_{non}= T_\infty(1-\Phi/c^2)$ with the Newtonian potential $\Phi$. This temperature could be also derived from the Tolman-Ehrenfest effect, satisfying a relation of $T=T_{\infty}e^{-\Phi/c^2}$ with the local temperature $T$. Finally, we derive the temperature force $\vec{F}_{tem}=mc^2(\vec{\nabla} \ln T )$ which leads to the Newtonian force law without introducing the holographic screen defined by holographic principle and equipartition law for entropic force.
| 10.397046
| 11.019535
| 10.336423
| 9.356419
| 10.260426
| 10.390125
| 10.486849
| 9.077086
| 10.177386
| 11.29147
| 10.379375
| 9.634679
| 9.76186
| 9.273105
| 9.730608
| 9.714938
| 9.541032
| 9.412665
| 9.450447
| 9.81415
| 9.595094
|
hep-th/0411089
|
Arutyunov
|
G. Arutyunov and S. Frolov
|
Integrable Hamiltonian for Classical Strings on AdS_5 x S^5
|
30 pages, LaTex; v2: a few comments added, misprints corrected,
references added
|
JHEP 0502 (2005) 059
|
10.1088/1126-6708/2005/02/059
|
AEI-2004-105
|
hep-th
| null |
We find the Hamiltonian for physical excitations of the classical bosonic
string propagating in the AdS_5 x S^5 space-time. The Hamiltonian is obtained
in a so-called uniform gauge which is related to the static gauge by a 2d
duality transformation. The Hamiltonian is of the Nambu type and depends on two
parameters: a single S^5 angular momentum J and the string tension \lambda. In
the general case both parameters can be finite. The space of string states
consists of short and long strings. In the sector of short strings the large J
expansion with \lambda'=\lambda/J^2 fixed recovers the plane-wave Hamiltonian
and higher-order corrections recently studied in the literature. In the strong
coupling limit \lambda\to \infty, J fixed, the energy of short strings scales
as \sqrt[4]{\lambda} while the energy of long strings scales as \sqrt{\lambda}.
We further show that the gauge-fixed Hamiltonian is integrable by constructing
the corresponding Lax representation. We discuss some general properties of the
monodromy matrix, and verify that the asymptotic behavior of the quasi-momentum
perfectly agrees with the one obtained earlier for some specific cases.
|
[
{
"created": "Mon, 8 Nov 2004 17:49:11 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Nov 2004 16:09:58 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Arutyunov",
"G.",
""
],
[
"Frolov",
"S.",
""
]
] |
We find the Hamiltonian for physical excitations of the classical bosonic string propagating in the AdS_5 x S^5 space-time. The Hamiltonian is obtained in a so-called uniform gauge which is related to the static gauge by a 2d duality transformation. The Hamiltonian is of the Nambu type and depends on two parameters: a single S^5 angular momentum J and the string tension \lambda. In the general case both parameters can be finite. The space of string states consists of short and long strings. In the sector of short strings the large J expansion with \lambda'=\lambda/J^2 fixed recovers the plane-wave Hamiltonian and higher-order corrections recently studied in the literature. In the strong coupling limit \lambda\to \infty, J fixed, the energy of short strings scales as \sqrt[4]{\lambda} while the energy of long strings scales as \sqrt{\lambda}. We further show that the gauge-fixed Hamiltonian is integrable by constructing the corresponding Lax representation. We discuss some general properties of the monodromy matrix, and verify that the asymptotic behavior of the quasi-momentum perfectly agrees with the one obtained earlier for some specific cases.
| 7.516804
| 7.162892
| 7.490833
| 6.779449
| 7.579351
| 7.331136
| 7.343206
| 7.00657
| 6.729145
| 7.954688
| 6.923775
| 7.086095
| 7.355169
| 6.849477
| 7.072734
| 7.046364
| 7.159004
| 7.076495
| 7.182464
| 7.412796
| 6.893913
|
1712.02800
|
Xinan Zhou
|
Xinan Zhou
|
On Superconformal Four-Point Mellin Amplitudes in Dimension $d>2$
|
34 pages, 1 figure; v2: minor changes, typos corrected; v3: published
version
|
JHEP08(2018)187
|
10.1007/JHEP08(2018)187
|
YITP-SB-2017-50
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a universal treatment for imposing superconformal constraints on
Mellin amplitudes for $\mathrm{SCFT_d}$ with $3\leq d\leq 6$. This leads to a
new technique to compute holographic correlators, which is similar but
complementary to the ones introduced in [1,2]. We apply this technique to
theories in various spacetime dimensions. In addition to reproducing known
results, we obtain a simple expression for next-next-to-extremal four-point
functions in $AdS_7\times S^4$. We also use this machinery on $AdS_4\times S^7$
and compute the first holographic one-half BPS four-point function. We extract
the anomalous dimension of the R-symmetry singlet double-trace operator with
the lowest conformal dimension and find agreement with the 3d $\mathcal{N}=8$
numerical bootstrap bound at large central charge.
|
[
{
"created": "Thu, 7 Dec 2017 19:00:08 GMT",
"version": "v1"
},
{
"created": "Sun, 7 Jan 2018 20:39:09 GMT",
"version": "v2"
},
{
"created": "Mon, 3 Sep 2018 15:00:19 GMT",
"version": "v3"
}
] |
2018-09-26
|
[
[
"Zhou",
"Xinan",
""
]
] |
We present a universal treatment for imposing superconformal constraints on Mellin amplitudes for $\mathrm{SCFT_d}$ with $3\leq d\leq 6$. This leads to a new technique to compute holographic correlators, which is similar but complementary to the ones introduced in [1,2]. We apply this technique to theories in various spacetime dimensions. In addition to reproducing known results, we obtain a simple expression for next-next-to-extremal four-point functions in $AdS_7\times S^4$. We also use this machinery on $AdS_4\times S^7$ and compute the first holographic one-half BPS four-point function. We extract the anomalous dimension of the R-symmetry singlet double-trace operator with the lowest conformal dimension and find agreement with the 3d $\mathcal{N}=8$ numerical bootstrap bound at large central charge.
| 6.838887
| 6.18538
| 7.980883
| 6.03595
| 6.35141
| 6.828481
| 6.538558
| 6.209313
| 6.185564
| 8.388317
| 6.313732
| 6.548811
| 7.309232
| 6.520147
| 6.433738
| 6.373415
| 6.601592
| 6.467507
| 6.655776
| 7.085345
| 6.529364
|
hep-th/0005255
|
Fred Jegerlehner
|
F. Jegerlehner
|
Facts of life with gamma(5)
|
15 pages, 1 figure, latex, axodraw
|
Eur.Phys.J.C18:673-679,2001
|
10.1007/s100520100573
|
DESY 00-075
|
hep-th hep-ph
| null |
The increasing precision of many experiments in elementary particle physics
leads to continuing interest in perturbative higher order calculations in the
electroweak Standard Model or extensions of it. Such calculations are of
increasing complexity because more loops and/or more legs are considered.
Correspondingly efficient computational methods are mandatory for many
calculations. One problem which affects the feasibility of higher order
calculations is the problem with gamma(5) in dimensional regularization. Since
the subject thirty years after its invention is still controversial I advocate
here some ideas which seem not to be common knowledge but might shed some new
light on the problem. I present arguments in favor of utilizing an
anticommuting gamma(5) and a simple 4-dimensional treatment of the hard
anomalies.
|
[
{
"created": "Fri, 26 May 2000 15:54:24 GMT",
"version": "v1"
}
] |
2009-01-07
|
[
[
"Jegerlehner",
"F.",
""
]
] |
The increasing precision of many experiments in elementary particle physics leads to continuing interest in perturbative higher order calculations in the electroweak Standard Model or extensions of it. Such calculations are of increasing complexity because more loops and/or more legs are considered. Correspondingly efficient computational methods are mandatory for many calculations. One problem which affects the feasibility of higher order calculations is the problem with gamma(5) in dimensional regularization. Since the subject thirty years after its invention is still controversial I advocate here some ideas which seem not to be common knowledge but might shed some new light on the problem. I present arguments in favor of utilizing an anticommuting gamma(5) and a simple 4-dimensional treatment of the hard anomalies.
| 14.666426
| 15.440013
| 13.356824
| 14.203988
| 15.243781
| 17.935875
| 16.774754
| 15.992419
| 13.838146
| 14.23567
| 15.594584
| 15.258889
| 14.095529
| 14.388229
| 15.137508
| 15.777355
| 14.751401
| 15.658266
| 14.537591
| 14.314774
| 15.106323
|
2203.15330
|
Paolo Benincasa
|
Paolo Benincasa
|
Amplitudes meet Cosmology: A (Scalar) Primer
|
137 pages, figures with TikZ, invited review
| null |
10.1142/S0217751X22300101
| null |
hep-th gr-qc math.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review the most recent progress in our understanding of quantum mechanical
observables in cosmology in the perturbative regime. It relies on an approach
that considers them directly as functions of the data at the space-like
boundary at future infinity prescinding from the explicit time evolution. It
takes inspiration from the on-shell formulation of perturbative scattering
amplitudes developed in the past 20 years: starting with the requirement of
consistency with some fundamental principles such as causality, unitarity and
locality, it provides different ways of phrasing and extracting predictions. In
this review, we aim to provide a pedagogical treatment of the most recent
insights about the analytic structure of the perturbative quantum mechanical
observables in cosmology, its relation to fundamental principles as well as
physical processes, and how such observables and their features emerge from
novel well-defined mathematical objects with their own first principle
definition. The review is divided in three parts: Part 0 discusses the
definition of quantum mechanical observables in cosmology and some general
principles; Part I reviews the boundary approach to the analysis and
computation of the perturbative wavefunction of the universe; Part II provides
an introduction to the combinatorial-geometrical description of cosmological
processes in terms of cosmological polytopes.
|
[
{
"created": "Tue, 29 Mar 2022 08:23:11 GMT",
"version": "v1"
}
] |
2022-12-07
|
[
[
"Benincasa",
"Paolo",
""
]
] |
We review the most recent progress in our understanding of quantum mechanical observables in cosmology in the perturbative regime. It relies on an approach that considers them directly as functions of the data at the space-like boundary at future infinity prescinding from the explicit time evolution. It takes inspiration from the on-shell formulation of perturbative scattering amplitudes developed in the past 20 years: starting with the requirement of consistency with some fundamental principles such as causality, unitarity and locality, it provides different ways of phrasing and extracting predictions. In this review, we aim to provide a pedagogical treatment of the most recent insights about the analytic structure of the perturbative quantum mechanical observables in cosmology, its relation to fundamental principles as well as physical processes, and how such observables and their features emerge from novel well-defined mathematical objects with their own first principle definition. The review is divided in three parts: Part 0 discusses the definition of quantum mechanical observables in cosmology and some general principles; Part I reviews the boundary approach to the analysis and computation of the perturbative wavefunction of the universe; Part II provides an introduction to the combinatorial-geometrical description of cosmological processes in terms of cosmological polytopes.
| 10.644168
| 10.243301
| 11.34426
| 10.408418
| 10.30347
| 10.027593
| 10.075961
| 9.922134
| 10.151541
| 12.545804
| 9.907053
| 9.891885
| 10.951117
| 10.399488
| 10.505906
| 10.363327
| 10.248748
| 9.976313
| 10.126335
| 11.022529
| 10.254329
|
1905.00263
|
Victoria Abakumova
|
V. A. Abakumova, D. S. Kaparulin, S. L. Lyakhovich
|
Stable interactions between the extended Chern-Simons theory and a
charged scalar field with higher derivatives: Hamiltonian formalism
|
10 pages, to appear in Russian Physics Journal
| null |
10.1007/s11182-019-01677-0
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider constrained multi-Hamiltonian formulation for the extended
Chern-Simons theory with higher derivatives of arbitrary finite order. The
order $n$ extension of the theory admits $(n-1)$-parametric series of conserved
tensors. The $00$-component of any representative of the series can be chosen
as Hamiltonian. The theory admits a series of Hamiltonian formulations,
including the canonical Ostrogradski formulation. The Hamiltonian formulations
with different Hamiltonians are not connected by canonical transformations.
Also, we demonstrate the inclusion of stable interactions with charged scalar
field that preserves one specified Hamiltonian from the series.
|
[
{
"created": "Wed, 1 May 2019 11:12:45 GMT",
"version": "v1"
}
] |
2019-06-05
|
[
[
"Abakumova",
"V. A.",
""
],
[
"Kaparulin",
"D. S.",
""
],
[
"Lyakhovich",
"S. L.",
""
]
] |
We consider constrained multi-Hamiltonian formulation for the extended Chern-Simons theory with higher derivatives of arbitrary finite order. The order $n$ extension of the theory admits $(n-1)$-parametric series of conserved tensors. The $00$-component of any representative of the series can be chosen as Hamiltonian. The theory admits a series of Hamiltonian formulations, including the canonical Ostrogradski formulation. The Hamiltonian formulations with different Hamiltonians are not connected by canonical transformations. Also, we demonstrate the inclusion of stable interactions with charged scalar field that preserves one specified Hamiltonian from the series.
| 13.548997
| 12.270071
| 13.915466
| 12.380151
| 14.21975
| 12.92838
| 14.45266
| 13.245214
| 11.325157
| 15.6181
| 12.030776
| 12.438044
| 13.162324
| 12.656037
| 13.223799
| 12.621224
| 12.52956
| 12.403316
| 13.028151
| 12.544646
| 12.302792
|
hep-th/9611004
|
David Broadhurst
|
J. M. Borwein, D. M. Bradley and D. J. Broadhurst
|
Evaluations of k-fold Euler/Zagier sums: a compendium of results for
arbitrary k
|
19 pages, LaTeX
|
Electronic J. Combinatorics, Vol. 4, No. 2 (1997) (Wilf
Fetschrift) #R5
| null | null |
hep-th
| null |
Euler sums (also called Zagier sums) occur within the context of knot theory
and quantum field theory. There are various conjectures related to these sums
whose incompletion is a sign that both the mathematics and physics communities
do not yet completely understand the field. Here, we assemble results for
Euler/Zagier sums (also known as multidimensional zeta/harmonic sums) of
arbitrary depth, including sign alternations. Many of our results were obtained
empirically and are apparently new. By carefully compiling and examining a huge
data base of high precision numerical evaluations, we can claim with some
confidence that certain classes of results are exhaustive. While many proofs
are lacking, we have sketched derivations of all results that have so far been
proved.
|
[
{
"created": "Sun, 3 Nov 1996 00:21:46 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Borwein",
"J. M.",
""
],
[
"Bradley",
"D. M.",
""
],
[
"Broadhurst",
"D. J.",
""
]
] |
Euler sums (also called Zagier sums) occur within the context of knot theory and quantum field theory. There are various conjectures related to these sums whose incompletion is a sign that both the mathematics and physics communities do not yet completely understand the field. Here, we assemble results for Euler/Zagier sums (also known as multidimensional zeta/harmonic sums) of arbitrary depth, including sign alternations. Many of our results were obtained empirically and are apparently new. By carefully compiling and examining a huge data base of high precision numerical evaluations, we can claim with some confidence that certain classes of results are exhaustive. While many proofs are lacking, we have sketched derivations of all results that have so far been proved.
| 15.704132
| 18.68545
| 17.051813
| 16.8465
| 19.804775
| 19.054115
| 18.882784
| 18.974495
| 17.035856
| 20.115599
| 16.23958
| 15.780406
| 15.656232
| 15.740804
| 15.865827
| 15.802675
| 15.303936
| 15.734143
| 15.568803
| 15.993894
| 14.765458
|
hep-th/0208113
|
Bert Schroer
|
Bert Schroer (CBPF, Rio de Janeiro)
|
Lightfront holography and area density of entropy associated with
localization on wedge-horizons
|
The last two sections have been modified. This is the form in which
the paper will be published in IJPA
| null |
10.1142/S0217751X03012217
| null |
hep-th gr-qc math-ph math.MP quant-ph
| null |
It is shown that a suitably formulated algebraic lightfront holography, in
which the lightfront is viewed as the linear extension of the upper causal
horizon of a wedge region, is capable of overcoming the shortcomings of the old
lightfront quantization. The absence of transverse vacuum fluctuations which
this formalism reveals, is responsible for an area (edge of the wedge)
-rearrangement of degrees of freedom which in turn leads to the notion of area
density of entropy for a ``split localization''. This area proportionality of
horizon associated entropy has to be compared to the volume dependence of
ordinary heat bath entropy. The desired limit, in which the split distance
vanishes and the localization on the horizon becomes sharp, can at most yield a
relative area density which measures the ratio of area densities for different
quantum matter. In order to obtain a normalized area density one needs the
unknown analog of a second fundamental law of thermodynamics for thermalization
caused by vacuum fluctuation through localization on causal horizons. This is
similar to the role of the classical Gibbs form of that law which relates
Bekenstein's classical area formula with the Hawking quantum mechanism for
thermalization from black holes. PACS: 11.10.-z, 11.30.-j, 11.55.-m
|
[
{
"created": "Thu, 15 Aug 2002 19:24:16 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Aug 2002 20:17:59 GMT",
"version": "v2"
},
{
"created": "Wed, 15 Jan 2003 14:35:27 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Schroer",
"Bert",
"",
"CBPF, Rio de Janeiro"
]
] |
It is shown that a suitably formulated algebraic lightfront holography, in which the lightfront is viewed as the linear extension of the upper causal horizon of a wedge region, is capable of overcoming the shortcomings of the old lightfront quantization. The absence of transverse vacuum fluctuations which this formalism reveals, is responsible for an area (edge of the wedge) -rearrangement of degrees of freedom which in turn leads to the notion of area density of entropy for a ``split localization''. This area proportionality of horizon associated entropy has to be compared to the volume dependence of ordinary heat bath entropy. The desired limit, in which the split distance vanishes and the localization on the horizon becomes sharp, can at most yield a relative area density which measures the ratio of area densities for different quantum matter. In order to obtain a normalized area density one needs the unknown analog of a second fundamental law of thermodynamics for thermalization caused by vacuum fluctuation through localization on causal horizons. This is similar to the role of the classical Gibbs form of that law which relates Bekenstein's classical area formula with the Hawking quantum mechanism for thermalization from black holes. PACS: 11.10.-z, 11.30.-j, 11.55.-m
| 19.477133
| 19.012602
| 20.565788
| 20.393682
| 21.775801
| 20.015924
| 19.197512
| 20.19471
| 18.146294
| 26.740583
| 17.86758
| 18.78167
| 19.693775
| 19.147507
| 19.203346
| 19.400829
| 18.886614
| 18.624304
| 18.821241
| 20.774864
| 19.452518
|
1910.14392
|
Subham Dutta Chowdhury
|
Subham Dutta Chowdhury, Abhijit Gadde, Tushar Gopalka, Indranil
Halder, Lavneet Janagal, Shiraz Minwalla
|
Classifying and constraining local four photon and four graviton
S-matrices
|
References added
| null | null | null |
hep-th gr-qc hep-ph math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the space of all kinematically allowed four photon and four graviton
S-matrices, polynomial in scattering momenta. We demonstrate that this space is
the permutation invariant sector of a module over the ring of polynomials of
the Mandelstam invariants $s$, $t$ and $u$. We construct these modules for
every value of the spacetime dimension $D$, and so explicitly count and
parameterize the most general four photon and four graviton S-matrix at any
given derivative order. We also explicitly list the local Lagrangians that give
rise to these S-matrices. We then conjecture that the Regge growth of
S-matrices in all physically acceptable classical theories is bounded by $s^2$
at fixed $t$. A four parameter subset of the polynomial photon S-matrices
constructed above satisfies this Regge criterion. For gravitons, on the other
hand, no polynomial addition to the Einstein S-matrix obeys this bound for $D
\leq 6$. For $D \geq 7$ there is a single six derivative polynomial Lagrangian
consistent with our conjectured Regge growth bound. Our conjecture thus implies
that the Einstein four graviton S-matrix does not admit any physically
acceptable polynomial modifications for $D\leq 6$. A preliminary analysis also
suggests that every finite sum of pole exchange contributions to four graviton
scattering also such violates our conjectured Regge growth bound, at least when
$D\leq 6$, even when the exchanged particles have low spin.
|
[
{
"created": "Thu, 31 Oct 2019 11:47:24 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Nov 2019 14:18:51 GMT",
"version": "v2"
}
] |
2019-11-19
|
[
[
"Chowdhury",
"Subham Dutta",
""
],
[
"Gadde",
"Abhijit",
""
],
[
"Gopalka",
"Tushar",
""
],
[
"Halder",
"Indranil",
""
],
[
"Janagal",
"Lavneet",
""
],
[
"Minwalla",
"Shiraz",
""
]
] |
We study the space of all kinematically allowed four photon and four graviton S-matrices, polynomial in scattering momenta. We demonstrate that this space is the permutation invariant sector of a module over the ring of polynomials of the Mandelstam invariants $s$, $t$ and $u$. We construct these modules for every value of the spacetime dimension $D$, and so explicitly count and parameterize the most general four photon and four graviton S-matrix at any given derivative order. We also explicitly list the local Lagrangians that give rise to these S-matrices. We then conjecture that the Regge growth of S-matrices in all physically acceptable classical theories is bounded by $s^2$ at fixed $t$. A four parameter subset of the polynomial photon S-matrices constructed above satisfies this Regge criterion. For gravitons, on the other hand, no polynomial addition to the Einstein S-matrix obeys this bound for $D \leq 6$. For $D \geq 7$ there is a single six derivative polynomial Lagrangian consistent with our conjectured Regge growth bound. Our conjecture thus implies that the Einstein four graviton S-matrix does not admit any physically acceptable polynomial modifications for $D\leq 6$. A preliminary analysis also suggests that every finite sum of pole exchange contributions to four graviton scattering also such violates our conjectured Regge growth bound, at least when $D\leq 6$, even when the exchanged particles have low spin.
| 7.68159
| 8.125551
| 8.690926
| 7.337962
| 8.324416
| 7.664916
| 7.752668
| 7.656593
| 7.737989
| 8.974574
| 7.839398
| 7.520547
| 7.612498
| 7.538615
| 7.674994
| 7.445189
| 7.352062
| 7.519529
| 7.593995
| 7.866717
| 7.435291
|
hep-th/0103149
|
Sayed Fawad Hassan
|
S. F. Hassan (HIP)
|
Supersymmetry and the Systematics of T-duality Rotations in Type-II
Superstring Theories
|
6 pages, LaTeX, uses espcrc2.sty; Contribution to the proceedings of
the D. V. Volkov memorial conference on ``Supersymmetry and Quantum Field
Theory'', Kharkov, July 25-29, 2000 (to appear in the Nucl. Phys. B
Conference Supplements)
|
Nucl.Phys.Proc.Suppl. 102 (2001) 77-82
|
10.1016/S0920-5632(01)01539-0
|
HIP-2001-07/TH
|
hep-th
| null |
We describe a systematic method of studying the action of the T-duality group
O(d,d) on space-time fermions and R-R field strengths and potentials in type-II
string theories, based on space-time supersymmetry. The formalism is then used
to show that the couplings of non-Abelian D-brane charges to R-R potentials can
be described by an appropriate Clifford multiplication.
|
[
{
"created": "Mon, 19 Mar 2001 14:55:51 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Hassan",
"S. F.",
"",
"HIP"
]
] |
We describe a systematic method of studying the action of the T-duality group O(d,d) on space-time fermions and R-R field strengths and potentials in type-II string theories, based on space-time supersymmetry. The formalism is then used to show that the couplings of non-Abelian D-brane charges to R-R potentials can be described by an appropriate Clifford multiplication.
| 10.114556
| 8.761235
| 11.043014
| 7.789768
| 8.547913
| 7.892817
| 8.29527
| 7.981467
| 8.324163
| 10.057009
| 8.006757
| 8.719901
| 9.732102
| 8.449894
| 8.311216
| 8.270406
| 8.941769
| 8.417332
| 8.669641
| 9.397478
| 8.544915
|
2109.03760
|
Francisco A. Brito
|
Elisama E. M. Lima, Francisco A. Brito
|
Scalar field models driven by Dirac-Born-Infeld dynamics and their
relatives
|
17 pages, 15 figures
| null |
10.1016/j.aop.2022.168780
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
In this paper, we investigate novel kinklike structures in a scalar field
theory driven by Dirac-Born-Infeld (DBI) dynamics. Analytical features are
reached through a first-order formalism and a deformation procedure. The
analysis ensures the linear stability of the obtained solutions, and the
deformation method permits to detect new topological solutions given some
systems of known solutions. The proposed models vary according to the
parameters of the theory. However, in a certain parameter regime, their defect
profiles are precisely obtained by standard theories. These are the models
relatives. Besides that, we investigate the $\beta-$Starobinsky potential in
the perspective of topological defects; and we have shown that it can support
kinklike solutions, for both canonical and non-canonical kinetics. As a result,
we propose two new kinds of generalizations on the $\beta-$Starobinsky model,
by considering the DBI approach. Finally, we explore the main characteristics
of such structures in these new scenarios.
|
[
{
"created": "Wed, 8 Sep 2021 16:35:26 GMT",
"version": "v1"
}
] |
2022-03-02
|
[
[
"Lima",
"Elisama E. M.",
""
],
[
"Brito",
"Francisco A.",
""
]
] |
In this paper, we investigate novel kinklike structures in a scalar field theory driven by Dirac-Born-Infeld (DBI) dynamics. Analytical features are reached through a first-order formalism and a deformation procedure. The analysis ensures the linear stability of the obtained solutions, and the deformation method permits to detect new topological solutions given some systems of known solutions. The proposed models vary according to the parameters of the theory. However, in a certain parameter regime, their defect profiles are precisely obtained by standard theories. These are the models relatives. Besides that, we investigate the $\beta-$Starobinsky potential in the perspective of topological defects; and we have shown that it can support kinklike solutions, for both canonical and non-canonical kinetics. As a result, we propose two new kinds of generalizations on the $\beta-$Starobinsky model, by considering the DBI approach. Finally, we explore the main characteristics of such structures in these new scenarios.
| 16.744617
| 15.260873
| 16.093645
| 14.536285
| 15.059237
| 15.134251
| 16.598263
| 16.004198
| 14.092249
| 16.615814
| 14.720613
| 15.232552
| 15.576871
| 14.92235
| 15.035495
| 15.262147
| 14.661525
| 15.177818
| 15.100113
| 16.691469
| 15.219944
|
hep-th/0502146
|
Gabriele Travaglini
|
James Bedford, Andreas Brandhuber, Bill Spence, Gabriele Travaglini
|
A recursion relation for gravity amplitudes
|
17 pages, 3 figures. v2: references added, typos corrected. Published
version to appear in Nuclear Physics B
|
Nucl.Phys.B721:98-110,2005
|
10.1016/j.nuclphysb.2005.016
|
QMUL-PH-05-02
|
hep-th gr-qc
| null |
Britto, Cachazo and Feng have recently derived a recursion relation for
tree-level scattering amplitudes in Yang-Mills. This relation has a bilinear
structure inherited from factorisation on multi-particle poles of the
scattering amplitudes - a rather generic feature of field theory. Motivated by
this, we propose a new recursion relation for scattering amplitudes of
gravitons at tree level. Using this recursion relation, we derive a new general
formula for the MHV tree-level scattering amplitude for n gravitons. Finally,
we comment on the existence of recursion relations in general field theories.
|
[
{
"created": "Wed, 16 Feb 2005 18:48:40 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Jun 2005 11:45:49 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Bedford",
"James",
""
],
[
"Brandhuber",
"Andreas",
""
],
[
"Spence",
"Bill",
""
],
[
"Travaglini",
"Gabriele",
""
]
] |
Britto, Cachazo and Feng have recently derived a recursion relation for tree-level scattering amplitudes in Yang-Mills. This relation has a bilinear structure inherited from factorisation on multi-particle poles of the scattering amplitudes - a rather generic feature of field theory. Motivated by this, we propose a new recursion relation for scattering amplitudes of gravitons at tree level. Using this recursion relation, we derive a new general formula for the MHV tree-level scattering amplitude for n gravitons. Finally, we comment on the existence of recursion relations in general field theories.
| 7.520675
| 6.380282
| 7.177753
| 6.495371
| 5.868639
| 6.452694
| 6.002823
| 6.614806
| 6.359681
| 7.003726
| 6.304451
| 6.026917
| 6.148614
| 5.955042
| 5.69632
| 5.87012
| 6.052002
| 5.862113
| 5.85053
| 6.196524
| 6.111206
|
1909.06896
|
Mokhtar Hassaine
|
Mokhtar Hassaine
|
Microscopic derivation of the Schwarzschild black hole entropy
|
6 pages two columns
|
Phys. Rev. D 101, 084028 (2020)
|
10.1103/PhysRevD.101.084028
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The main part of this work is to present a formula allowing a microscopic
derivation of the Schwarzschild black hole entropy in arbitrary dimension. More
generally, this Cardy-like formula applies for static black holes whose
gravitational entropy scales as a power of the temperature, and is also
effective for negative heat capacity solutions. The formula involves the
scaling power, the black hole mass and the energy of a gravitational soliton
identified as the ground state of the theory. The robustness of this formula is
verified in the most famous example of solution with negative heat capacity,
namely the Schwarzschild black hole. The mass of the Schwarzschild regular
soliton is computed using the counterterm method for asymptotically flat
spacetimes. Corrections of the black hole entropy of the order of logarithm of
the area are shown to arise for dimensions strictly greater than four. Finally,
we will see that a slight modification of the Cardy-like formula involving the
angular generator, perfectly reproduces the four-dimensional Kerr entropy.
|
[
{
"created": "Sun, 15 Sep 2019 22:05:04 GMT",
"version": "v1"
}
] |
2020-04-22
|
[
[
"Hassaine",
"Mokhtar",
""
]
] |
The main part of this work is to present a formula allowing a microscopic derivation of the Schwarzschild black hole entropy in arbitrary dimension. More generally, this Cardy-like formula applies for static black holes whose gravitational entropy scales as a power of the temperature, and is also effective for negative heat capacity solutions. The formula involves the scaling power, the black hole mass and the energy of a gravitational soliton identified as the ground state of the theory. The robustness of this formula is verified in the most famous example of solution with negative heat capacity, namely the Schwarzschild black hole. The mass of the Schwarzschild regular soliton is computed using the counterterm method for asymptotically flat spacetimes. Corrections of the black hole entropy of the order of logarithm of the area are shown to arise for dimensions strictly greater than four. Finally, we will see that a slight modification of the Cardy-like formula involving the angular generator, perfectly reproduces the four-dimensional Kerr entropy.
| 11.321483
| 10.831809
| 12.233304
| 10.406509
| 11.521711
| 11.260162
| 12.28647
| 11.663038
| 10.239751
| 12.546184
| 10.206164
| 11.149475
| 11.043798
| 11.018243
| 11.044138
| 11.18234
| 10.813788
| 10.83537
| 10.956251
| 11.660733
| 10.616
|
0907.3832
|
Yasuaki Hikida
|
Gaston Giribet, Yasuaki Hikida and Tadashi Takayanagi
|
Topological String on OSP(1|2)/U(1)
|
25 pages, refereces added
|
JHEP 0909:001,2009
|
10.1088/1126-6708/2009/09/001
| null |
hep-th
|
http://creativecommons.org/licenses/by/3.0/
|
We propose an equivalence between topological string on OSP(1|2)/U(1) and
\hat{c} \leq 1 superstring with N=1 world-sheet supersymmetry. We examine this
by employing a free field representation of OSP(1|2) WZNW model and find an
agreement on the spectrum. We also analyze this proposal at the level of
scattering amplitudes by applying a map between correlation functions of
OSP(1|2) WZNW model and those of N=1 Liouville theory.
|
[
{
"created": "Wed, 22 Jul 2009 13:08:55 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Jul 2009 13:11:45 GMT",
"version": "v2"
}
] |
2009-10-02
|
[
[
"Giribet",
"Gaston",
""
],
[
"Hikida",
"Yasuaki",
""
],
[
"Takayanagi",
"Tadashi",
""
]
] |
We propose an equivalence between topological string on OSP(1|2)/U(1) and \hat{c} \leq 1 superstring with N=1 world-sheet supersymmetry. We examine this by employing a free field representation of OSP(1|2) WZNW model and find an agreement on the spectrum. We also analyze this proposal at the level of scattering amplitudes by applying a map between correlation functions of OSP(1|2) WZNW model and those of N=1 Liouville theory.
| 7.11804
| 5.921543
| 7.790691
| 5.673839
| 6.022585
| 5.548624
| 6.055918
| 5.775525
| 5.658684
| 7.790389
| 5.97345
| 6.268558
| 6.375479
| 6.251099
| 6.218881
| 5.945251
| 6.10346
| 6.173635
| 6.013213
| 6.666897
| 6.024991
|
1301.4995
|
Don N. Page
|
Don N. Page
|
Time Dependence of Hawking Radiation Entropy
|
50 pages, LaTeX; results added for black holes initially in impure
states
| null |
10.1088/1475-7516/2013/09/028
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
If a black hole starts in a pure quantum state and evaporates completely by a
unitary process, the von Neumann entropy of the Hawking radiation initially
increases and then decreases back to zero when the black hole has disappeared.
Here numerical results are given for an approximation to the time dependence of
the radiation entropy under an assumption of fast scrambling, for large
nonrotating black holes that emit essentially only photons and gravitons. The
maximum of the von Neumann entropy then occurs after about 53.81% of the
evaporation time, when the black hole has lost about 40.25% of its original
Bekenstein-Hawking (BH) entropy (an upper bound for its von Neumann entropy)
and then has a BH entropy that equals the entropy in the radiation, which is
about 59.75% of the original BH entropy 4 pi M_0^2, or about 7.509 M_0^2
\approx 6.268 x 10^{76}(M_0/M_sun)^2, using my 1976 calculations that the
photon and graviton emission process into empty space gives about 1.4847 times
the BH entropy loss of the black hole. Results are also given for black holes
in initially impure states. If the black hole starts in a maximally mixed
state, the von Neumann entropy of the Hawking radiation increases from zero up
to a maximum of about 119.51% of the original BH entropy, or about 15.018 M_0^2
\approx 1.254 x 10^{77}(M_0/M_sun)^2, and then decreases back down to 4 pi
M_0^2 = 1.049 x 10^{77}(M_0/M_sun)^2.
|
[
{
"created": "Mon, 21 Jan 2013 21:00:02 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Aug 2013 23:42:38 GMT",
"version": "v2"
},
{
"created": "Fri, 9 Aug 2013 18:35:18 GMT",
"version": "v3"
}
] |
2015-06-12
|
[
[
"Page",
"Don N.",
""
]
] |
If a black hole starts in a pure quantum state and evaporates completely by a unitary process, the von Neumann entropy of the Hawking radiation initially increases and then decreases back to zero when the black hole has disappeared. Here numerical results are given for an approximation to the time dependence of the radiation entropy under an assumption of fast scrambling, for large nonrotating black holes that emit essentially only photons and gravitons. The maximum of the von Neumann entropy then occurs after about 53.81% of the evaporation time, when the black hole has lost about 40.25% of its original Bekenstein-Hawking (BH) entropy (an upper bound for its von Neumann entropy) and then has a BH entropy that equals the entropy in the radiation, which is about 59.75% of the original BH entropy 4 pi M_0^2, or about 7.509 M_0^2 \approx 6.268 x 10^{76}(M_0/M_sun)^2, using my 1976 calculations that the photon and graviton emission process into empty space gives about 1.4847 times the BH entropy loss of the black hole. Results are also given for black holes in initially impure states. If the black hole starts in a maximally mixed state, the von Neumann entropy of the Hawking radiation increases from zero up to a maximum of about 119.51% of the original BH entropy, or about 15.018 M_0^2 \approx 1.254 x 10^{77}(M_0/M_sun)^2, and then decreases back down to 4 pi M_0^2 = 1.049 x 10^{77}(M_0/M_sun)^2.
| 5.656831
| 6.342087
| 6.065879
| 5.817056
| 6.1245
| 5.822761
| 6.540349
| 5.800871
| 6.202449
| 6.612129
| 5.971997
| 5.696214
| 5.871976
| 5.76493
| 5.557337
| 5.614552
| 5.593085
| 5.63003
| 5.589127
| 5.84382
| 5.544761
|
1809.01614
|
Ctirad Klimcik
|
C. Klimcik
|
Affine Poisson and affine quasi-Poisson T-duality
|
36 pages, Section 7 is added which explains the relations of the
affine (quasi-)Poisson T-duality to the theory of dressing cosets, there are
some stylistic improvements also in other sections
| null |
10.1016/j.nuclphysb.2018.12.008
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We generalize the Poisson-Lie T-duality by making use of the structure of the
affine Poisson group which is the concept introduced some time ago in Poisson
geometry as a generalization of the Poisson-Lie group. We also introduce a new
notion of an affine quasi-Poisson group and show that it gives rise to a still
more general T-duality framework. We establish for a class of examples that
this new T-duality is compatible with the renormalization group flow.
|
[
{
"created": "Wed, 5 Sep 2018 16:42:57 GMT",
"version": "v1"
},
{
"created": "Sun, 4 Nov 2018 18:01:39 GMT",
"version": "v2"
}
] |
2019-01-30
|
[
[
"Klimcik",
"C.",
""
]
] |
We generalize the Poisson-Lie T-duality by making use of the structure of the affine Poisson group which is the concept introduced some time ago in Poisson geometry as a generalization of the Poisson-Lie group. We also introduce a new notion of an affine quasi-Poisson group and show that it gives rise to a still more general T-duality framework. We establish for a class of examples that this new T-duality is compatible with the renormalization group flow.
| 7.47814
| 7.274499
| 7.481964
| 6.665452
| 7.559376
| 7.154927
| 6.86047
| 6.890994
| 7.016735
| 7.679101
| 6.901092
| 6.833252
| 7.492079
| 6.611185
| 6.733326
| 6.785869
| 6.513307
| 7.018799
| 6.720783
| 7.405928
| 6.708937
|
1502.05793
|
Marcin Daszkiewicz
|
Marcin Daszkiewicz
|
Generalized twist deformations of Poincare and Galilei quantum groups
|
Latex source, 13 pages, 1 figure
|
Mod.Phys.Lett. A30 (2015) 1550034
|
10.1142/S0217732315500340
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The three quantum groups dual to the generalized twist deformed Poincare Hopf
algebras are provided with use of FRT procedure. Their Galilean counterparts
are obtained by nonrelativistic contraction scheme.
|
[
{
"created": "Fri, 20 Feb 2015 07:29:50 GMT",
"version": "v1"
}
] |
2015-02-23
|
[
[
"Daszkiewicz",
"Marcin",
""
]
] |
The three quantum groups dual to the generalized twist deformed Poincare Hopf algebras are provided with use of FRT procedure. Their Galilean counterparts are obtained by nonrelativistic contraction scheme.
| 25.007195
| 23.050367
| 22.903057
| 19.511332
| 20.339003
| 22.513927
| 22.290487
| 20.575108
| 20.476328
| 24.140585
| 18.938423
| 19.271383
| 25.088989
| 20.966938
| 21.149342
| 18.950493
| 19.673515
| 20.11207
| 20.269081
| 22.854168
| 20.790989
|
1004.2609
|
Miguel Vazquez-Mozo
|
Alvaro Duenas-Vidal, Miguel A. Vazquez-Mozo
|
Colliding AdS gravitational shock waves in various dimensions and
holography
|
25 pages, 11 figures. v2: minor changes, typos corrected. To appear
in JHEP
|
JHEP 1007:021,2010
|
10.1007/JHEP07(2010)021
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The formation of marginally trapped surfaces in the off-center collision of
two shock waves on AdS_D (with D=4,5,6,7 and 8) is studied numerically. We
focus on the case when the two waves collide with nonvanishing impact parameter
while the sources are located at the same value of the holographic coordinate.
In all cases a critical value of the impact parameter is found above which no
trapped surface is formed. The numerical results show the existence of a simple
scaling relation between the critical impact parameter and the energy of the
colliding waves. Using the isometries of AdS_D we relate the solutions obtained
to the ones describing the collision of two waves with a purely holographic
impact parameter. This provides a gravitational dual for the head-on collision
of two lumps of energy of unequal size.
|
[
{
"created": "Thu, 15 Apr 2010 11:36:04 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Jul 2010 12:27:56 GMT",
"version": "v2"
}
] |
2014-11-20
|
[
[
"Duenas-Vidal",
"Alvaro",
""
],
[
"Vazquez-Mozo",
"Miguel A.",
""
]
] |
The formation of marginally trapped surfaces in the off-center collision of two shock waves on AdS_D (with D=4,5,6,7 and 8) is studied numerically. We focus on the case when the two waves collide with nonvanishing impact parameter while the sources are located at the same value of the holographic coordinate. In all cases a critical value of the impact parameter is found above which no trapped surface is formed. The numerical results show the existence of a simple scaling relation between the critical impact parameter and the energy of the colliding waves. Using the isometries of AdS_D we relate the solutions obtained to the ones describing the collision of two waves with a purely holographic impact parameter. This provides a gravitational dual for the head-on collision of two lumps of energy of unequal size.
| 7.301954
| 7.078222
| 7.712951
| 6.791914
| 7.395916
| 6.831028
| 6.975309
| 6.613955
| 6.339722
| 7.400071
| 6.982956
| 6.462025
| 6.808552
| 6.462587
| 6.638375
| 6.74642
| 6.69878
| 6.547318
| 6.555849
| 7.055106
| 6.640434
|
hep-th/9911009
|
Walton A. Perkins
|
W. A. Perkins (PACS)
|
The p-bar p --> pi_0 pi_0 Puzzle
|
LaTeX, 9 pages, 2 postscript figures
| null | null | null |
hep-th
| null |
According to conventional theory, the annihilation reaction p-bar p --> pi_0
pi_0 cannot occur from a p-bar p atomic S state. However, this reaction occurs
so readily for antiprotons stopping in liquid hydrogen, that it would require
30% P-wave annihilations. Experimental results from other capture and p-bar p
annihilation channels show that the fraction of P-wave annihilations is less
than 6% in agreement with theoretical expectations. An experimental test to
determine whether this reaction can occur from an atomic S state is suggested.
If indeed this reaction is occurring from an atomic S state, then certain
neutral vector mesons should exhibit a pi_0 pi_0 decay mode, and this can also
be tested experimentally.
|
[
{
"created": "Tue, 2 Nov 1999 17:45:55 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Perkins",
"W. A.",
"",
"PACS"
]
] |
According to conventional theory, the annihilation reaction p-bar p --> pi_0 pi_0 cannot occur from a p-bar p atomic S state. However, this reaction occurs so readily for antiprotons stopping in liquid hydrogen, that it would require 30% P-wave annihilations. Experimental results from other capture and p-bar p annihilation channels show that the fraction of P-wave annihilations is less than 6% in agreement with theoretical expectations. An experimental test to determine whether this reaction can occur from an atomic S state is suggested. If indeed this reaction is occurring from an atomic S state, then certain neutral vector mesons should exhibit a pi_0 pi_0 decay mode, and this can also be tested experimentally.
| 10.317865
| 13.880822
| 9.879995
| 9.436029
| 10.514647
| 14.106868
| 11.222927
| 10.31652
| 9.316959
| 10.550696
| 11.222164
| 10.21588
| 9.534588
| 9.212322
| 9.912259
| 10.958746
| 9.395788
| 10.06817
| 9.525726
| 9.369719
| 10.006077
|
2111.01169
|
Shuang-Yong Zhou
|
Zong-Zhe Du, Cen Zhang and Shuang-Yong Zhou
|
Triple crossing positivity bounds for multi-field theories
|
28 pages, 4 figures, 1 table; corrected error about upper bounds on
s^2 coefficients, conclusions remain unchanged
| null |
10.1007/JHEP12(2021)115
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We develop a formalism to extract triple crossing symmetric positivity bounds
for effective field theories with multiple degrees of freedom, by making use of
$su$ symmetric dispersion relations supplemented with positivity of the partial
waves, $st$ null constraints and the generalized optical theorem. This
generalizes the convex cone approach to constrain the $s^2$ coefficient space
to higher orders. Optimal positive bounds can be extracted by semi-definite
programs with a continuous decision variable, compared with linear programs for
the case of a single field. As an example, we explicitly compute the positivity
constraints on bi-scalar theories, and find all the Wilson coefficients can be
constrained in a finite region, including the coefficients with odd powers of
$s$, which are absent in the single scalar case.
|
[
{
"created": "Mon, 1 Nov 2021 18:00:34 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Dec 2021 14:18:48 GMT",
"version": "v2"
},
{
"created": "Sun, 26 May 2024 07:33:47 GMT",
"version": "v3"
}
] |
2024-05-28
|
[
[
"Du",
"Zong-Zhe",
""
],
[
"Zhang",
"Cen",
""
],
[
"Zhou",
"Shuang-Yong",
""
]
] |
We develop a formalism to extract triple crossing symmetric positivity bounds for effective field theories with multiple degrees of freedom, by making use of $su$ symmetric dispersion relations supplemented with positivity of the partial waves, $st$ null constraints and the generalized optical theorem. This generalizes the convex cone approach to constrain the $s^2$ coefficient space to higher orders. Optimal positive bounds can be extracted by semi-definite programs with a continuous decision variable, compared with linear programs for the case of a single field. As an example, we explicitly compute the positivity constraints on bi-scalar theories, and find all the Wilson coefficients can be constrained in a finite region, including the coefficients with odd powers of $s$, which are absent in the single scalar case.
| 18.158291
| 17.793514
| 17.590927
| 15.198245
| 17.188835
| 17.067194
| 15.090186
| 17.268551
| 15.752851
| 19.746161
| 16.565987
| 16.20554
| 17.825687
| 16.60685
| 16.527205
| 15.718606
| 15.978153
| 17.01506
| 16.492092
| 17.390078
| 16.506977
|
2307.08729
|
Eric R. Sharpe
|
T. Pantev, E. Sharpe
|
Decomposition and the Gross-Taylor string theory
|
95 pages, LaTeX; v2: grant info added to acknowledgements
|
Int. J. Mod. Phys. A 38 (2023) 2350156
|
10.1142/S0217751X23501567
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It was recently argued by Nguyen-Tanizaki-Unsal that two-dimensional pure
Yang-Mills theory is equivalent to (decomposes into) a disjoint union of
(invertible) quantum field theories, known as universes. In this paper we
compare this decomposition to the Gross-Taylor expansion of two-dimensional
pure SU(N) Yang-Mills theory in the large N limit as the string field theory of
a sigma model. Specifically, we study the Gross-Taylor expansion of individual
Nguyen-Tanizaki-Unsal universes. These differ from the Gross-Taylor expansion
of the full Yang-Mills theory in two ways: a restriction to single instanton
degrees, and some additional contributions not present in the expansion of the
full Yang-Mills theory. We propose to interpret the restriction to single
instanton degree as implying a constraint, namely that the Gross-Taylor string
has a global (higher-form) symmetry with Noether current related to the
worldsheet instanton number. We compare two-dimensional pure Maxwell theory as
a prototype obeying such a constraint, and also discuss in that case an
analogue of the Witten effect arising under two-dimensional theta angle
rotation. We also propose a geometric interpretation of the additional terms,
in the special case of Yang-Mills theories on two-spheres. In addition, also
for the case of theories on two-spheres, we propose a reinterpretation of the
terms in the Gross-Taylor expansion of the Nguyen-Tanizaki-Unsal universes,
replacing sigma models on branched covers by counting disjoint unions of stacky
copies of the target Riemann surface, that makes the Nguyen-Tanizaki-Unsal
decomposition into invertible field theories more nearly manifest. As the
Gross-Taylor string is a sigma model coupled to worldsheet gravity, we also
briefly outline the tangentially-related topic of decomposition in
two-dimensional theories coupled to gravity.
|
[
{
"created": "Mon, 17 Jul 2023 18:00:00 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Oct 2023 16:12:23 GMT",
"version": "v2"
}
] |
2023-12-29
|
[
[
"Pantev",
"T.",
""
],
[
"Sharpe",
"E.",
""
]
] |
It was recently argued by Nguyen-Tanizaki-Unsal that two-dimensional pure Yang-Mills theory is equivalent to (decomposes into) a disjoint union of (invertible) quantum field theories, known as universes. In this paper we compare this decomposition to the Gross-Taylor expansion of two-dimensional pure SU(N) Yang-Mills theory in the large N limit as the string field theory of a sigma model. Specifically, we study the Gross-Taylor expansion of individual Nguyen-Tanizaki-Unsal universes. These differ from the Gross-Taylor expansion of the full Yang-Mills theory in two ways: a restriction to single instanton degrees, and some additional contributions not present in the expansion of the full Yang-Mills theory. We propose to interpret the restriction to single instanton degree as implying a constraint, namely that the Gross-Taylor string has a global (higher-form) symmetry with Noether current related to the worldsheet instanton number. We compare two-dimensional pure Maxwell theory as a prototype obeying such a constraint, and also discuss in that case an analogue of the Witten effect arising under two-dimensional theta angle rotation. We also propose a geometric interpretation of the additional terms, in the special case of Yang-Mills theories on two-spheres. In addition, also for the case of theories on two-spheres, we propose a reinterpretation of the terms in the Gross-Taylor expansion of the Nguyen-Tanizaki-Unsal universes, replacing sigma models on branched covers by counting disjoint unions of stacky copies of the target Riemann surface, that makes the Nguyen-Tanizaki-Unsal decomposition into invertible field theories more nearly manifest. As the Gross-Taylor string is a sigma model coupled to worldsheet gravity, we also briefly outline the tangentially-related topic of decomposition in two-dimensional theories coupled to gravity.
| 10.923372
| 10.825545
| 12.489491
| 10.61467
| 11.378983
| 11.324927
| 11.692972
| 10.293604
| 10.190116
| 12.543576
| 10.416203
| 10.813631
| 10.988676
| 10.23938
| 10.475226
| 10.543958
| 10.91653
| 10.726687
| 10.333308
| 10.981728
| 10.312843
|
1001.5236
|
Nicholas Stephen Manton
|
Nicholas S. Manton and Norisuke Sakai
|
Maximally Non-Abelian Vortices from Self-dual Yang--Mills Fields
|
11 pages
|
Phys.Lett.B687:395-399,2010
|
10.1016/j.physletb.2010.03.017
|
DAMTP-2010-9
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A particular dimensional reduction of SU(2N) Yang--Mills theory on $\Sigma
\times S^2$, with $\Sigma$ a Riemann surface, yields an $S(U(N) \times U(N))$
gauge theory on $\Sigma$, with a matrix Higgs field. The SU(2N) self-dual
Yang--Mills equations reduce to Bogomolny equations for vortices on $\Sigma$.
These equations are formally integrable if $\Sigma$ is the hyperbolic plane,
and we present a subclass of solutions.
|
[
{
"created": "Thu, 28 Jan 2010 18:13:11 GMT",
"version": "v1"
}
] |
2010-04-30
|
[
[
"Manton",
"Nicholas S.",
""
],
[
"Sakai",
"Norisuke",
""
]
] |
A particular dimensional reduction of SU(2N) Yang--Mills theory on $\Sigma \times S^2$, with $\Sigma$ a Riemann surface, yields an $S(U(N) \times U(N))$ gauge theory on $\Sigma$, with a matrix Higgs field. The SU(2N) self-dual Yang--Mills equations reduce to Bogomolny equations for vortices on $\Sigma$. These equations are formally integrable if $\Sigma$ is the hyperbolic plane, and we present a subclass of solutions.
| 5.498432
| 4.730387
| 5.773212
| 4.969477
| 4.980558
| 4.95281
| 5.120445
| 4.563894
| 4.552652
| 6.095376
| 4.977708
| 4.744861
| 5.28266
| 4.793883
| 4.955837
| 4.75522
| 4.887383
| 4.808462
| 4.773775
| 4.953273
| 4.879858
|
2107.02001
|
Sergei Kuzenko
|
Sergei M. Kuzenko and Emmanouil S. N. Raptakis
|
Duality-invariant (super)conformal higher-spin models
|
42 pages; v4: published version
| null |
10.1103/PhysRevD.104.125003
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We develop a general formalism of duality rotations for bosonic conformal
spin-$s$ gauge fields, with $s\geq 2$, in a conformally flat four-dimensional
spacetime. In the $s=1$ case this formalism is equivalent to the theory of
$\mathsf{U}(1)$ duality-invariant nonlinear electrodynamics developed by
Gaillard and Zumino, Gibbons and Rasheed, and generalised by Ivanov and Zupnik.
For each integer spin $s\geq 2$ we demonstrate the existence of families of
conformal $\mathsf{U}(1)$ duality-invariant models, including a generalisation
of the so called ModMax Electrodynamics ($s=1$). Our bosonic results are then
extended to the $\mathcal{N}=1$ and $\mathcal{N}=2$ supersymmetric cases. We
also sketch a formalism of duality rotations for conformal gauge fields of
Lorentz type $(m/2, n/2)$, for positive integers $m $ and $n$.
|
[
{
"created": "Mon, 5 Jul 2021 13:19:38 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Jul 2021 06:47:06 GMT",
"version": "v2"
},
{
"created": "Thu, 7 Oct 2021 13:44:05 GMT",
"version": "v3"
},
{
"created": "Fri, 17 Dec 2021 09:36:39 GMT",
"version": "v4"
}
] |
2021-12-20
|
[
[
"Kuzenko",
"Sergei M.",
""
],
[
"Raptakis",
"Emmanouil S. N.",
""
]
] |
We develop a general formalism of duality rotations for bosonic conformal spin-$s$ gauge fields, with $s\geq 2$, in a conformally flat four-dimensional spacetime. In the $s=1$ case this formalism is equivalent to the theory of $\mathsf{U}(1)$ duality-invariant nonlinear electrodynamics developed by Gaillard and Zumino, Gibbons and Rasheed, and generalised by Ivanov and Zupnik. For each integer spin $s\geq 2$ we demonstrate the existence of families of conformal $\mathsf{U}(1)$ duality-invariant models, including a generalisation of the so called ModMax Electrodynamics ($s=1$). Our bosonic results are then extended to the $\mathcal{N}=1$ and $\mathcal{N}=2$ supersymmetric cases. We also sketch a formalism of duality rotations for conformal gauge fields of Lorentz type $(m/2, n/2)$, for positive integers $m $ and $n$.
| 5.498987
| 5.206802
| 6.142025
| 5.216916
| 5.468466
| 5.33312
| 5.329837
| 5.19795
| 5.379547
| 6.32067
| 5.310862
| 5.494963
| 5.396239
| 5.245183
| 5.235532
| 5.473254
| 5.435815
| 5.364739
| 5.18325
| 5.536773
| 5.263927
|
hep-th/9804084
|
Nikolaos Mavromatos
|
John Ellis, N.E. Mavromatos and D.V. Nanopoulos
|
World-Sheet formulation of M theory
|
20 pages LATEX
|
Int.J.Mod.Phys.A13:5093-5112,1998
|
10.1142/S0217751X98002377
|
ACT-5/98, CTP-TAMU-14/98, OUTP-98-27P
|
hep-th
| null |
We first review the interpretation of world-sheet defects as $D$ branes
described by a critical theory in 11 dimensions, that we interpret as $M$
theory. We then show that $D$-brane recoil induces dynamically an
anti-de-Sitter (AdS) space-time background, with criticality restored by a
twelfth time-like dimension described by a Liouville field. Local physics in
the bulk of this AdS$_{11}$ may be described by an $Osp(1|32,R) \otimes
Osp(1|32,R)$ topological gauge theory (TGT), with non-local boundary states in
doubleton representations. We draw analogies with structures previously
exhibited in two-dimensional black-hole models. Wilson loops of `matter' in the
TGT may be described by an effective string action, and defect condensation may
yield string tension and cause a space-time metric to appear.
|
[
{
"created": "Sat, 11 Apr 1998 09:29:11 GMT",
"version": "v1"
}
] |
2009-09-11
|
[
[
"Ellis",
"John",
""
],
[
"Mavromatos",
"N. E.",
""
],
[
"Nanopoulos",
"D. V.",
""
]
] |
We first review the interpretation of world-sheet defects as $D$ branes described by a critical theory in 11 dimensions, that we interpret as $M$ theory. We then show that $D$-brane recoil induces dynamically an anti-de-Sitter (AdS) space-time background, with criticality restored by a twelfth time-like dimension described by a Liouville field. Local physics in the bulk of this AdS$_{11}$ may be described by an $Osp(1|32,R) \otimes Osp(1|32,R)$ topological gauge theory (TGT), with non-local boundary states in doubleton representations. We draw analogies with structures previously exhibited in two-dimensional black-hole models. Wilson loops of `matter' in the TGT may be described by an effective string action, and defect condensation may yield string tension and cause a space-time metric to appear.
| 14.936381
| 14.097081
| 15.810518
| 13.70715
| 14.805356
| 14.552316
| 14.99851
| 14.391334
| 14.015574
| 17.842192
| 13.416395
| 14.069315
| 14.260743
| 13.6544
| 14.709807
| 13.928722
| 13.543219
| 13.836346
| 13.823111
| 13.911111
| 13.510311
|
1111.5576
|
Rui Vilela-Mendes
|
R. Vilela Mendes
|
Searching for the deformation-stability fundamental length (or
fundamental time)
|
35 pages, 8 figures
| null | null | null |
hep-th math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The existence of a fundamental length (or fundamental time) has been
conjectured in many contexts. However, the "stability of physical theories
principle" seems to be the one that provides, through the tools of algebraic
deformation theory, an unambiguous derivation of the stable structures that
Nature might have chosen for its algebraic framework. It is well-known that $c$
and $\hbar $ are the deformation parameters that stabilize the Galilean and the
Poisson algebra. When the stability principle is applied to the
Poincar\'{e}-Heisenberg algebra, two deformation parameters emerge which define
two length (or time) scales. In addition there are, for each of them, a plus or
minus sign possibility in the relevant commutators. One of the deformation
length scales, related to non-commutativity of momenta, is probably related to
the Planck length scale but the other might be much larger. In this paper this
is used as a working hypothesis to look for physical effects that might settle
this question. Phase-space modifications, deviations from $c$ in speed
measurements of massless wave packets, resonances, interference, electron spin
resonance and non-commutative QED are considered.
|
[
{
"created": "Wed, 23 Nov 2011 18:10:37 GMT",
"version": "v1"
}
] |
2011-11-24
|
[
[
"Mendes",
"R. Vilela",
""
]
] |
The existence of a fundamental length (or fundamental time) has been conjectured in many contexts. However, the "stability of physical theories principle" seems to be the one that provides, through the tools of algebraic deformation theory, an unambiguous derivation of the stable structures that Nature might have chosen for its algebraic framework. It is well-known that $c$ and $\hbar $ are the deformation parameters that stabilize the Galilean and the Poisson algebra. When the stability principle is applied to the Poincar\'{e}-Heisenberg algebra, two deformation parameters emerge which define two length (or time) scales. In addition there are, for each of them, a plus or minus sign possibility in the relevant commutators. One of the deformation length scales, related to non-commutativity of momenta, is probably related to the Planck length scale but the other might be much larger. In this paper this is used as a working hypothesis to look for physical effects that might settle this question. Phase-space modifications, deviations from $c$ in speed measurements of massless wave packets, resonances, interference, electron spin resonance and non-commutative QED are considered.
| 11.950777
| 8.694814
| 12.302261
| 9.479128
| 8.194281
| 7.794634
| 7.941063
| 8.399628
| 9.575171
| 12.91536
| 9.794825
| 10.669009
| 11.86598
| 11.12057
| 10.772147
| 10.88042
| 11.062438
| 10.608517
| 11.165396
| 11.528563
| 11.323273
|
hep-th/9406153
|
7353
|
Shinobu Hikami
|
Renormalized expansion for matrix models
|
26page +5 figures(not included)
|
Prog.Theor.Phys. 92 (1994) 479-500
|
10.1143/PTP.92.479
| null |
hep-th
| null |
Matrix models of 2d quantum gravity coupled to matter field are investigated
by the renormalized perturbational method, in which the matrix model
Hamiltonian is represented by the equivalent vector model. By the saddle point
method, the renormalization group beta-function is obtained in the successive
approximation.
|
[
{
"created": "Thu, 23 Jun 1994 08:44:28 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Hikami",
"Shinobu",
""
]
] |
Matrix models of 2d quantum gravity coupled to matter field are investigated by the renormalized perturbational method, in which the matrix model Hamiltonian is represented by the equivalent vector model. By the saddle point method, the renormalization group beta-function is obtained in the successive approximation.
| 14.482112
| 11.941879
| 11.943768
| 11.84034
| 12.251404
| 11.785347
| 12.875392
| 10.869691
| 11.007535
| 14.381227
| 12.029657
| 11.651757
| 11.286111
| 10.924325
| 11.535282
| 11.558635
| 11.140831
| 11.711093
| 11.416944
| 12.068635
| 11.6804
|
hep-th/9301059
|
Antti Niemi
|
A.J. Niemi and O.Tirkkonen
|
On Exact Evaluation of Path Integrals
| null |
Annals Phys. 235 (1994) 318-349
|
10.1006/aphy.1994.1100
| null |
hep-th
| null |
Some mistakes have been corrected
|
[
{
"created": "Fri, 15 Jan 1993 19:23:13 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Feb 1993 19:40:45 GMT",
"version": "v2"
}
] |
2009-10-22
|
[
[
"Niemi",
"A. J.",
""
],
[
"Tirkkonen",
"O.",
""
]
] |
Some mistakes have been corrected
| 138.038315
| 69.514557
| 78.821106
| 70.48008
| 67.608727
| 73.647469
| 75.301338
| 51.983536
| 52.479996
| 113.781471
| 60.203827
| 133.125473
| 158.657257
| 136.718475
| 139.10611
| 136.591736
| 157.154526
| 145.693344
| 147.057022
| 141.405624
| 76.424347
|
hep-th/9201046
| null |
Ramzi R. Khuri and HoSeong La
|
String Motion in Fivebrane Geometry
|
17 pages
|
Phys.Rev.D47:570-577,1993
|
10.1103/PhysRevD.47.570
| null |
hep-th
| null |
The classical motion of a test string in the transverse space of two types of
heterotic fivebrane sources is fully analyzed, for arbitrary instanton scale
size. The singular case is treated as a special case and does not arise in the
continuous limit of zero instanton size. We find that the orbits are either
circular or open, which is a solitonic analogy with the motion of an electron
around a magnetic monopole, although the system we consider is quantitatively
different. We emphasize that at long distance this geometry does not satisfy
the inverse square law, but satisfies the inverse cubic law. If the fivebrane
exists in nature and this structure survives after any proper compactification,
this last result can be used to test classical ``stringy'' effects.
|
[
{
"created": "Wed, 22 Jan 1992 21:57:46 GMT",
"version": "v1"
}
] |
2010-11-19
|
[
[
"Khuri",
"Ramzi R.",
""
],
[
"La",
"HoSeong",
""
]
] |
The classical motion of a test string in the transverse space of two types of heterotic fivebrane sources is fully analyzed, for arbitrary instanton scale size. The singular case is treated as a special case and does not arise in the continuous limit of zero instanton size. We find that the orbits are either circular or open, which is a solitonic analogy with the motion of an electron around a magnetic monopole, although the system we consider is quantitatively different. We emphasize that at long distance this geometry does not satisfy the inverse square law, but satisfies the inverse cubic law. If the fivebrane exists in nature and this structure survives after any proper compactification, this last result can be used to test classical ``stringy'' effects.
| 19.712105
| 19.278097
| 21.283779
| 17.524961
| 20.514471
| 21.171535
| 19.587296
| 17.402002
| 17.581957
| 23.756134
| 17.545979
| 17.644453
| 18.263506
| 17.66773
| 18.705034
| 17.957874
| 18.037905
| 17.883814
| 17.927662
| 18.606026
| 17.269732
|
hep-th/9310143
|
Ramy Brustein
|
R. Brustein, M. Faux and B. Ovrut
|
Non-Perturbative interactions in two-dimensional (super) string theory
|
Presented by R. Brustein at at International Workshop on
Supersymmetry and Unification of Fundamental Interactions (SUSY 93), Boston,
MA, 29 Mar - 1 Apr 1993, 2 eps figures available on request, 14 pages,
preprint UPR-578T/ CERN-TH.7051/93
| null | null | null |
hep-th
| null |
Non-perturbative interactions in the effective action of two-dimensional
bosonic string theory are described. These interactions are due to ``stringy"
instantons that are associated with a space-varying coupling parameter. We
present progress towards identifying similar non-perturbative interactions in
the effective action of two-dimensional superstring theory. We discuss the
possible relation to higher dimensional string theory.
|
[
{
"created": "Thu, 21 Oct 1993 19:30:26 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Brustein",
"R.",
""
],
[
"Faux",
"M.",
""
],
[
"Ovrut",
"B.",
""
]
] |
Non-perturbative interactions in the effective action of two-dimensional bosonic string theory are described. These interactions are due to ``stringy" instantons that are associated with a space-varying coupling parameter. We present progress towards identifying similar non-perturbative interactions in the effective action of two-dimensional superstring theory. We discuss the possible relation to higher dimensional string theory.
| 11.89694
| 9.787369
| 11.307359
| 10.10266
| 9.860031
| 10.594382
| 9.159069
| 9.94184
| 9.721457
| 12.528274
| 9.660783
| 10.120195
| 11.265429
| 10.2335
| 10.261323
| 9.95239
| 10.247806
| 9.627732
| 10.188878
| 10.917172
| 10.422461
|
1112.3385
|
Thomas Sotiriou
|
Daniele Vernieri, Thomas P. Sotiriou
|
Horava-Lifshitz gravity: detailed balance revisited
|
v1: 9 pages; v2: typos corrected, minor rephrasings, published
version
|
Phys. Rev. D 85, 064003 (2012)
|
10.1103/PhysRevD.85.064003
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We attempt a critical reconsideration of "detailed balance" as a principle
that can be used to restrict the proliferation of couplings in Horava-Lifshitz
gravity. We re-examine the shortcomings that have been usually associated with
it in the literature and we argue that easy remedies can be found for all of
them within the framework of detailed balance, and that the most persistent of
them are actually related to projectability. We show that, once projectability
is abandoned, detailed balance reduces the number of independent couplings by
roughly an order of magnitude and imposes only one restriction that constitutes
a phenomenological concern: the size of the (bare) cosmological constant is
unacceptably large. Remarkably, this restriction (which is present in the
projectable version as well) has been so far under-appreciated in the
literature. Optimists might prefer to interpret it as a potential blessing in
disguise, as it allows one to entertain the idea of a miraculous cancelation
between the bare cosmological constant and the (still poorly understood) vacuum
energy contribution.
|
[
{
"created": "Wed, 14 Dec 2011 22:57:14 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Mar 2012 17:58:36 GMT",
"version": "v2"
}
] |
2012-03-07
|
[
[
"Vernieri",
"Daniele",
""
],
[
"Sotiriou",
"Thomas P.",
""
]
] |
We attempt a critical reconsideration of "detailed balance" as a principle that can be used to restrict the proliferation of couplings in Horava-Lifshitz gravity. We re-examine the shortcomings that have been usually associated with it in the literature and we argue that easy remedies can be found for all of them within the framework of detailed balance, and that the most persistent of them are actually related to projectability. We show that, once projectability is abandoned, detailed balance reduces the number of independent couplings by roughly an order of magnitude and imposes only one restriction that constitutes a phenomenological concern: the size of the (bare) cosmological constant is unacceptably large. Remarkably, this restriction (which is present in the projectable version as well) has been so far under-appreciated in the literature. Optimists might prefer to interpret it as a potential blessing in disguise, as it allows one to entertain the idea of a miraculous cancelation between the bare cosmological constant and the (still poorly understood) vacuum energy contribution.
| 10.541324
| 9.482707
| 10.088595
| 9.783041
| 9.830338
| 10.461289
| 10.612418
| 9.600705
| 9.86452
| 10.350849
| 10.033303
| 10.095631
| 9.798511
| 9.667745
| 9.742807
| 9.905296
| 9.932069
| 9.918294
| 9.678544
| 10.044641
| 9.789154
|
hep-th/9609134
|
Steffen Meissner
|
B.-D. Doerfel and St. Meissner (HU Berlin)
|
Finite-size corrections of an integrable chain with alternating spins
|
11 pages, LaTeX, uses ioplppt.sty,replaced with published version
|
J.Phys.A30:1831-1842,1997
|
10.1088/0305-4470/30/6/010
|
SFB 288 preprint no. 225
|
hep-th cond-mat
| null |
In this paper we calculate the finite-size corrections of an anisotropic
integrable spin chain, consisting of spins s=1 and s=1/2. The calculations are
done in two regions of the phase diagram with respect to the two couplings
$\bar{c}$ and $\tilde{c}$. In case of conformal invariance we obtain the final
answer for the ground state and its lowest excitations, which generalizes
earlier results.
|
[
{
"created": "Tue, 17 Sep 1996 11:45:24 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Apr 1997 15:18:21 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Doerfel",
"B. -D.",
"",
"HU Berlin"
],
[
"Meissner",
"St.",
"",
"HU Berlin"
]
] |
In this paper we calculate the finite-size corrections of an anisotropic integrable spin chain, consisting of spins s=1 and s=1/2. The calculations are done in two regions of the phase diagram with respect to the two couplings $\bar{c}$ and $\tilde{c}$. In case of conformal invariance we obtain the final answer for the ground state and its lowest excitations, which generalizes earlier results.
| 9.065408
| 7.213473
| 8.95516
| 7.687051
| 8.743196
| 8.033171
| 8.095932
| 7.941571
| 7.856978
| 9.88231
| 7.645726
| 8.119259
| 9.053411
| 8.161694
| 8.116673
| 8.512377
| 8.080607
| 8.010051
| 8.2265
| 9.110861
| 8.441048
|
1903.07763
|
Sergio H\"ortner
|
Sergio H\"ortner
|
Manifest gravitational duality near anti de Sitter space-time
|
Invited contribution to the volume "Electric-magnetic duality in
gravitational theories", Frontiers in Physics
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive a manifestly duality-invariant formulation of the action principle
for linearized gravity on anti de Sitter background. The analysis is based on
the two-potential formalism, obtained upon resolution of the constraints in the
Hamiltonian formulation. We discuss the relevance of our result in the context
of holography.
|
[
{
"created": "Mon, 18 Mar 2019 23:21:13 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Nov 2019 09:41:31 GMT",
"version": "v2"
}
] |
2019-11-13
|
[
[
"Hörtner",
"Sergio",
""
]
] |
We derive a manifestly duality-invariant formulation of the action principle for linearized gravity on anti de Sitter background. The analysis is based on the two-potential formalism, obtained upon resolution of the constraints in the Hamiltonian formulation. We discuss the relevance of our result in the context of holography.
| 8.754384
| 6.496168
| 7.665181
| 6.952395
| 7.171609
| 6.799653
| 7.797043
| 6.540288
| 7.09448
| 7.583555
| 7.001879
| 7.812569
| 7.736328
| 7.492147
| 7.702983
| 7.937099
| 7.948833
| 7.942455
| 7.768617
| 7.558899
| 7.966002
|
hep-th/0209215
|
Herman Verlinde
|
Diana Vaman and Herman Verlinde
|
Bit Strings from N=4 Gauge Theory
|
22 pages, 1 figure
|
JHEP 0311 (2003) 041
|
10.1088/1126-6708/2003/11/041
|
PUPT 2050
|
hep-th
| null |
We present an improvement of the interacting string bit theory proposed in
hep-th/0206059, designed to reproduce the non-planar perturbative amplitudes
between BMN operators in N=4 gauge theory. Our formalism incorporates the
effect of operator mixing and all non-planar corrections to the inner product.
We use supersymmetry to construct the bosonic matrix elements of the light-cone
Hamiltonian to all orders in g_2, and make a detailed comparison with the
non-planar amplitudes obtained from gauge theory to order (g_2)^2. We find a
precise match.
|
[
{
"created": "Wed, 25 Sep 2002 16:23:19 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Sep 2002 18:12:14 GMT",
"version": "v2"
},
{
"created": "Fri, 27 Sep 2002 19:35:03 GMT",
"version": "v3"
},
{
"created": "Fri, 27 Sep 2002 20:24:46 GMT",
"version": "v4"
},
{
"created": "Fri, 5 Sep 2003 17:44:20 GMT",
"version": "v5"
}
] |
2009-11-07
|
[
[
"Vaman",
"Diana",
""
],
[
"Verlinde",
"Herman",
""
]
] |
We present an improvement of the interacting string bit theory proposed in hep-th/0206059, designed to reproduce the non-planar perturbative amplitudes between BMN operators in N=4 gauge theory. Our formalism incorporates the effect of operator mixing and all non-planar corrections to the inner product. We use supersymmetry to construct the bosonic matrix elements of the light-cone Hamiltonian to all orders in g_2, and make a detailed comparison with the non-planar amplitudes obtained from gauge theory to order (g_2)^2. We find a precise match.
| 10.00082
| 8.569942
| 11.690246
| 8.694959
| 9.691258
| 8.881783
| 9.132544
| 8.134035
| 8.514242
| 12.580939
| 8.941791
| 8.912476
| 10.209384
| 8.879753
| 8.996763
| 8.471069
| 8.905229
| 8.779691
| 8.712089
| 10.195275
| 8.950486
|
hep-th/9404009
|
Jae-Suk Park
|
S. Hyun and J.-S. Park
|
$N=2$ Topological Yang-Mills Theories and Donaldson's Polynomials
|
30 pages, YUMS-94-08 : thoroughly rewritten version, including new
observations, refinements and corrections
|
J.Geom.Phys. 20 (1996) 31-53
| null | null |
hep-th
| null |
The $N=2$ topological Yang-Mills and holomorphic Yang-Mills theories on
simply connected compact K\"{a}hler surfaces with $p_g\geq 1$ are reexamined.
The $N=2$ symmetry is clarified in terms of a Dolbeault model of the
equivariant cohomology. We realize the non-algebraic part of Donaldson's
polynomial invariants as well as the algebraic part. We calculate Donaldson's
polynomials on $H^{2,0}(S,\BZ)\oplus H^{0,2}(S,\BZ)$.
|
[
{
"created": "Sun, 3 Apr 1994 13:56:20 GMT",
"version": "v1"
},
{
"created": "Sun, 3 Apr 1994 16:27:55 GMT",
"version": "v2"
},
{
"created": "Fri, 9 Sep 1994 09:28:44 GMT",
"version": "v3"
}
] |
2008-02-03
|
[
[
"Hyun",
"S.",
""
],
[
"Park",
"J. -S.",
""
]
] |
The $N=2$ topological Yang-Mills and holomorphic Yang-Mills theories on simply connected compact K\"{a}hler surfaces with $p_g\geq 1$ are reexamined. The $N=2$ symmetry is clarified in terms of a Dolbeault model of the equivariant cohomology. We realize the non-algebraic part of Donaldson's polynomial invariants as well as the algebraic part. We calculate Donaldson's polynomials on $H^{2,0}(S,\BZ)\oplus H^{0,2}(S,\BZ)$.
| 7.480567
| 6.482275
| 7.925178
| 6.1548
| 6.90331
| 7.458098
| 7.015188
| 6.507993
| 6.613182
| 8.242378
| 6.986279
| 7.130147
| 7.873416
| 7.126634
| 6.922563
| 6.833939
| 6.716543
| 6.674243
| 6.779569
| 7.262118
| 6.737661
|
hep-th/9407165
| null |
S. De Martino, S. De Siena and F. Illuminati
|
A Class of Quantum States with Classical-like Evolution
|
13 pages, plain LaTeX, DFPD 94/TH/31, May 1994
|
Mod. Phys. Lett. B8 (1994) 1823
|
10.1142/S0217984994001734
| null |
hep-th chao-dyn cond-mat nlin.CD
| null |
In the framework of Nelson stochastic quantization we derive exact
non-stationary states for a class of time-dependent potentials. The
wave-packets follow a classical motion with constant dispersion. The new states
thus define a possible extension of the harmonic-oscillator coherent states to
more general potentials. As an explicit example we give a detailed treatement
of a sestic oscillator potential.
|
[
{
"created": "Mon, 25 Jul 1994 18:25:24 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"De Martino",
"S.",
""
],
[
"De Siena",
"S.",
""
],
[
"Illuminati",
"F.",
""
]
] |
In the framework of Nelson stochastic quantization we derive exact non-stationary states for a class of time-dependent potentials. The wave-packets follow a classical motion with constant dispersion. The new states thus define a possible extension of the harmonic-oscillator coherent states to more general potentials. As an explicit example we give a detailed treatement of a sestic oscillator potential.
| 21.433691
| 19.734266
| 18.418844
| 19.474394
| 18.624468
| 19.648989
| 20.99828
| 17.199951
| 21.41371
| 24.92808
| 18.468603
| 17.677225
| 17.90115
| 17.14444
| 17.533642
| 17.931601
| 17.908371
| 17.265459
| 18.010157
| 18.774595
| 17.250683
|
1504.00138
|
Tsukasa Tada
|
Nobuyuki Ishibashi and Tsukasa Tada
|
Infinite circumference limit of conformal field theory
|
8 pages, 2 figures
|
J. Phys. A: Math. Theor. 48 (2015) 315402
|
10.1088/1751-8113/48/31/315402
|
UTHEP-672, RIKEN-TH-209, RIKEN-QHP-186
|
hep-th cond-mat.stat-mech quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We argue that an infinite circumference limit can be obtained in
2-dimensional conformal field theory by adopting $L_0-(L_1+L_{-1})/2$ as a
Hamiltonian instead of $L_0$. The theory obtained has a circumference of
infinite length and hence exhibits a continuous and heavily degenerated
spectrum as well as the continuous Virasoro algebra. The choice of this
Hamiltonian was inspired partly by the so-called sine-square deformation, which
is found in the study of a certain class of quantum statistical systems. The
enigmatic behavior of sine-square deformed systems such as the sharing of their
vacuum states with the closed boundary systems can be understood by the
appearance of an infinite circumference.
|
[
{
"created": "Wed, 1 Apr 2015 08:18:05 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Jul 2015 08:26:50 GMT",
"version": "v2"
}
] |
2015-07-20
|
[
[
"Ishibashi",
"Nobuyuki",
""
],
[
"Tada",
"Tsukasa",
""
]
] |
We argue that an infinite circumference limit can be obtained in 2-dimensional conformal field theory by adopting $L_0-(L_1+L_{-1})/2$ as a Hamiltonian instead of $L_0$. The theory obtained has a circumference of infinite length and hence exhibits a continuous and heavily degenerated spectrum as well as the continuous Virasoro algebra. The choice of this Hamiltonian was inspired partly by the so-called sine-square deformation, which is found in the study of a certain class of quantum statistical systems. The enigmatic behavior of sine-square deformed systems such as the sharing of their vacuum states with the closed boundary systems can be understood by the appearance of an infinite circumference.
| 11.838516
| 11.891926
| 14.889136
| 11.367994
| 13.125377
| 12.199576
| 12.294042
| 11.891945
| 11.691534
| 14.337196
| 11.607662
| 12.23324
| 12.746672
| 11.895777
| 12.230828
| 12.026064
| 11.972435
| 11.868168
| 12.400197
| 12.567122
| 11.967962
|
2303.03990
|
Adolfo Guarino
|
Miguel Chamorro-Burgos, Adolfo Guarino and Colin Sterckx
|
$\mathcal{N}=2$ $\,\textrm{CFT}_{3}\textrm{'s}\,$ from $\,\mathcal{N} =
4\,$ gauged supergravity
|
35 pages, 1 figure. v2: clarifications added, published version
| null |
10.1007/JHEP06(2023)068
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We use holography and four-dimensional $\,\mathcal{N}=4\,$ gauged
supergravity to collect evidence for a large class of interconnected
three-dimensional $\,\mathcal{N}=2\,$ conformal field theories. On the gravity
side, we construct a one-parameter family of $\,{\textrm{ISO}(3) \times
\textrm{ISO}(3)}$ gaugings of half-maximal supergravity containing a rich
structure of $\,\mathcal{N}=2\,$ AdS$_{4}$ solutions at fixed radius. By
looking at excitations around these AdS$_{4}$ solutions, the spectrum of low
lying operators in the dual $\,\mathcal{N}=2\,$ CFT$_{3}$'s is computed and
further arranged into $\,\mathfrak{osp}(2|4)$ supermultiplets. Upon suitable
removal of gauge redundancies, we identify the Zamolodchikov metric on the
conformal manifold dual to the AdS$_{4}$ moduli space, and recover previous
results in the S-fold literature. Two special points of $\,\mathcal{N}=4\,$
supersymmetry enhancement occur. While one describes an S-fold CFT$_{3}$ dual
to a non-geometric type IIB twisted compactification, the string-theoretic
realisation of the other, if any, is still lacking.
|
[
{
"created": "Tue, 7 Mar 2023 15:43:27 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Sep 2023 14:18:59 GMT",
"version": "v2"
}
] |
2023-09-12
|
[
[
"Chamorro-Burgos",
"Miguel",
""
],
[
"Guarino",
"Adolfo",
""
],
[
"Sterckx",
"Colin",
""
]
] |
We use holography and four-dimensional $\,\mathcal{N}=4\,$ gauged supergravity to collect evidence for a large class of interconnected three-dimensional $\,\mathcal{N}=2\,$ conformal field theories. On the gravity side, we construct a one-parameter family of $\,{\textrm{ISO}(3) \times \textrm{ISO}(3)}$ gaugings of half-maximal supergravity containing a rich structure of $\,\mathcal{N}=2\,$ AdS$_{4}$ solutions at fixed radius. By looking at excitations around these AdS$_{4}$ solutions, the spectrum of low lying operators in the dual $\,\mathcal{N}=2\,$ CFT$_{3}$'s is computed and further arranged into $\,\mathfrak{osp}(2|4)$ supermultiplets. Upon suitable removal of gauge redundancies, we identify the Zamolodchikov metric on the conformal manifold dual to the AdS$_{4}$ moduli space, and recover previous results in the S-fold literature. Two special points of $\,\mathcal{N}=4\,$ supersymmetry enhancement occur. While one describes an S-fold CFT$_{3}$ dual to a non-geometric type IIB twisted compactification, the string-theoretic realisation of the other, if any, is still lacking.
| 6.198274
| 6.128681
| 7.158772
| 6.188682
| 6.024541
| 6.184973
| 6.008638
| 5.855208
| 5.979008
| 7.574302
| 6.14271
| 6.089056
| 6.693064
| 6.026731
| 6.078989
| 6.155137
| 6.041399
| 5.956666
| 5.952877
| 6.636335
| 5.969919
|
hep-th/9407075
|
Martin Land
|
M. C. Land and L. P. Horwitz
|
The Zeeman Effect for the Relativistic Bound State
|
21 pages, TAUP-2150-94
| null |
10.1088/0305-4470/28/11/025
| null |
hep-th
| null |
In the context of a relativistic quantum mechanics with invariant evolution
parameter, solutions for the relativistic bound state problem have been found,
which yield a spectrum for the total mass coinciding with the nonrelativistic
Schr\"odinger energy spectrum. These spectra were obtained by choosing an
arbitrary spacelike unit vector $n_\mu$ and restricting the support of the
eigenfunctions in spacetime to the subspace of the Minkowski measure space, for
which $(x_\perp )^2 = [x-(x \cdot n) n ]^2 \geq 0$. In this paper, we examine
the Zeeman effect for these bound states, which requires $n_\mu$ to be a
dynamical quantity. We recover the usual Zeeman splitting in a manifestly
covariant form.
|
[
{
"created": "Thu, 14 Jul 1994 11:01:30 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Land",
"M. C.",
""
],
[
"Horwitz",
"L. P.",
""
]
] |
In the context of a relativistic quantum mechanics with invariant evolution parameter, solutions for the relativistic bound state problem have been found, which yield a spectrum for the total mass coinciding with the nonrelativistic Schr\"odinger energy spectrum. These spectra were obtained by choosing an arbitrary spacelike unit vector $n_\mu$ and restricting the support of the eigenfunctions in spacetime to the subspace of the Minkowski measure space, for which $(x_\perp )^2 = [x-(x \cdot n) n ]^2 \geq 0$. In this paper, we examine the Zeeman effect for these bound states, which requires $n_\mu$ to be a dynamical quantity. We recover the usual Zeeman splitting in a manifestly covariant form.
| 8.998693
| 8.922128
| 9.585752
| 8.669795
| 9.628099
| 8.780392
| 8.457684
| 8.329577
| 7.857529
| 9.102363
| 8.408999
| 8.256282
| 8.102254
| 8.157665
| 8.512637
| 8.003259
| 8.201592
| 8.157117
| 7.970592
| 8.233096
| 8.272983
|
hep-th/0611080
|
Sheer El-Showk
|
Jan de Boer, Paul de Medeiros, Sheer El-Showk, and Annamaria Sinkovics
|
Open G2 Strings
|
55 pages, no figures
|
JHEP0802:012,2008
|
10.1088/1126-6708/2008/02/012
|
DAMTP-2006-99, EMPG-06-10, ITFA-06-41, MCTP-06-28
|
hep-th math.DG
| null |
We consider an open string version of the topological twist previously
proposed for sigma-models with G2 target spaces. We determine the cohomology of
open strings states and relate these to geometric deformations of calibrated
submanifolds and to flat or anti-self-dual connections on such submanifolds. On
associative three-cycles we show that the worldvolume theory is a gauge-fixed
Chern-Simons theory coupled to normal deformations of the cycle. For
coassociative four-cycles we find a functional that extremizes on
anti-self-dual gauge fields. A brane wrapping the whole G2 induces a
seven-dimensional associative Chern-Simons theory on the manifold. This theory
has already been proposed by Donaldson and Thomas as the higher-dimensional
generalization of real Chern-Simons theory. When the G2 manifold has the
structure of a Calabi-Yau times a circle, these theories reduce to a
combination of the open A-model on special Lagrangians and the open
B+\bar{B}-model on holomorphic submanifolds. We also comment on possible
applications of our results.
|
[
{
"created": "Tue, 7 Nov 2006 16:35:10 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"de Boer",
"Jan",
""
],
[
"de Medeiros",
"Paul",
""
],
[
"El-Showk",
"Sheer",
""
],
[
"Sinkovics",
"Annamaria",
""
]
] |
We consider an open string version of the topological twist previously proposed for sigma-models with G2 target spaces. We determine the cohomology of open strings states and relate these to geometric deformations of calibrated submanifolds and to flat or anti-self-dual connections on such submanifolds. On associative three-cycles we show that the worldvolume theory is a gauge-fixed Chern-Simons theory coupled to normal deformations of the cycle. For coassociative four-cycles we find a functional that extremizes on anti-self-dual gauge fields. A brane wrapping the whole G2 induces a seven-dimensional associative Chern-Simons theory on the manifold. This theory has already been proposed by Donaldson and Thomas as the higher-dimensional generalization of real Chern-Simons theory. When the G2 manifold has the structure of a Calabi-Yau times a circle, these theories reduce to a combination of the open A-model on special Lagrangians and the open B+\bar{B}-model on holomorphic submanifolds. We also comment on possible applications of our results.
| 8.617919
| 9.19711
| 10.999287
| 8.804141
| 9.665165
| 9.5452
| 9.895311
| 9.924894
| 8.869747
| 11.56148
| 8.95182
| 8.778757
| 9.701271
| 8.553784
| 8.765569
| 8.914652
| 8.566676
| 8.618722
| 8.712779
| 9.588215
| 8.752849
|
1204.0959
|
Zhang Chengyong
|
Cheng-Yong Zhang, Yi Ling, Chao Niu, Yu Tian, Xiao-Ning Wu
|
Magnetohydrodynamics from gravity
|
21 pages
|
Phys. Rev. D 86, 084043 (2012)
|
10.1103/PhysRevD.86.084043
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Imposing the Petrov-like boundary condition on the hypersurface at finite
cutoff, we derive the hydrodynamic equation on the hypersurface from the bulk
Einstein equation with electromagnetic field in the near horizon limit. We
first get the general framework for spacetime with matter field, and then
derive the incompressible Navier-Stokes equations for black holes with electric
charge and magnetic charge respectively. Especially, in the magnetic case, the
standard magnetohydrodynamic equations will arise due to the existence of the
background electromagnetic field on the hypersurface.
|
[
{
"created": "Wed, 4 Apr 2012 14:37:27 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Apr 2012 07:21:54 GMT",
"version": "v2"
},
{
"created": "Thu, 28 Jun 2012 12:25:38 GMT",
"version": "v3"
}
] |
2012-11-02
|
[
[
"Zhang",
"Cheng-Yong",
""
],
[
"Ling",
"Yi",
""
],
[
"Niu",
"Chao",
""
],
[
"Tian",
"Yu",
""
],
[
"Wu",
"Xiao-Ning",
""
]
] |
Imposing the Petrov-like boundary condition on the hypersurface at finite cutoff, we derive the hydrodynamic equation on the hypersurface from the bulk Einstein equation with electromagnetic field in the near horizon limit. We first get the general framework for spacetime with matter field, and then derive the incompressible Navier-Stokes equations for black holes with electric charge and magnetic charge respectively. Especially, in the magnetic case, the standard magnetohydrodynamic equations will arise due to the existence of the background electromagnetic field on the hypersurface.
| 11.544286
| 8.49239
| 11.106441
| 9.719203
| 9.815575
| 8.737526
| 9.389782
| 9.372461
| 8.715281
| 12.160826
| 9.643161
| 10.119771
| 10.443726
| 10.291018
| 10.643252
| 10.691776
| 10.610484
| 10.088551
| 10.834144
| 10.992334
| 10.81138
|
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