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2.01k
| perplexity_Llama-3.1-8B
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431
| perplexity_s4-L-3.1-8B-base
float64 2.88
422
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414
| perplexity_s6-L-3.1-8B-base
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340
| perplexity_s7-L-3.1-8B-base
float64 2.91
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float64 2.95
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|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1406.1462
|
Lionel J. Mason
|
Yvonne Geyer, Arthur E. Lipstein, Lionel Mason
|
Ambitwistor strings at null infinity and subleading soft limits
|
23 pages + appendices
| null |
10.1088/0264-9381/32/5/055003
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The relationships between extended BMS symmetries at null infinity and
Weinberg's soft theorems for gravitons and photons together with their
subleading generalizations are developed using ambitwistor string theory.
Ambitwistor space is the phase space of complex null geodesics in complexified
space-time. We show how it can be canonically identified with the cotangent
bundle of null infinity. BMS symmetries of null infinity lift to give a
hamiltonian action on ambitwistor space, both in general dimension and in its
twistorial 4-dimensional representation. General vertex operators arise from
hamiltonians generating diffeomorphisms of ambitwistor space that determine the
scattering from past to future null infinity. When a momentum eigenstate goes
soft, the diffeomorphism defined by its leading and its subleading part are
extended BMS generators realized in the world sheet conformal field theory of
the ambitwistor string. More generally, this gives explicit perturbative
correspondence between the scattering of null geodesics and that of the
gravitational field via ambitwistor string theory.
|
[
{
"created": "Thu, 5 Jun 2014 18:10:23 GMT",
"version": "v1"
}
] |
2015-06-19
|
[
[
"Geyer",
"Yvonne",
""
],
[
"Lipstein",
"Arthur E.",
""
],
[
"Mason",
"Lionel",
""
]
] |
The relationships between extended BMS symmetries at null infinity and Weinberg's soft theorems for gravitons and photons together with their subleading generalizations are developed using ambitwistor string theory. Ambitwistor space is the phase space of complex null geodesics in complexified space-time. We show how it can be canonically identified with the cotangent bundle of null infinity. BMS symmetries of null infinity lift to give a hamiltonian action on ambitwistor space, both in general dimension and in its twistorial 4-dimensional representation. General vertex operators arise from hamiltonians generating diffeomorphisms of ambitwistor space that determine the scattering from past to future null infinity. When a momentum eigenstate goes soft, the diffeomorphism defined by its leading and its subleading part are extended BMS generators realized in the world sheet conformal field theory of the ambitwistor string. More generally, this gives explicit perturbative correspondence between the scattering of null geodesics and that of the gravitational field via ambitwistor string theory.
| 8.431971
| 9.321979
| 10.018896
| 9.188358
| 8.89609
| 9.371336
| 9.703896
| 9.108997
| 8.919059
| 10.282838
| 9.312866
| 8.53126
| 8.622225
| 8.117043
| 8.497416
| 8.434231
| 8.199881
| 8.194077
| 8.259164
| 8.713706
| 8.528151
|
hep-th/0407048
|
Robert Brandenberger
|
Robert H. Brandenberger and C. S. Lam
|
Back-Reaction of Cosmological Perturbations in the Infinite Wavelength
Approximation
|
5 pages, no figures
| null | null |
BROWN-HET-1405
|
hep-th astro-ph gr-qc hep-ph
| null |
Cosmological perturbations in an expanding universe back-react on the
space-time in which they propagate. Calculations to lowest non-vanishing order
in perturbation theory indicate that super-Hubble-scale fluctuations act as a
negative and time-dependent cosmological constant and may thus lead to a
dynamical relaxation mechanism for the cosmological constant. Here we present a
simple model of how to understand this effect from the perspective of
homogeneous and isotropic cosmology. Our analysis, however, also shows that an
effective spatial curvature is induced, indicating potential problems in
realizing the dynamical relaxation of the cosmological constant by means of
back-reaction.
|
[
{
"created": "Wed, 7 Jul 2004 14:47:15 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Brandenberger",
"Robert H.",
""
],
[
"Lam",
"C. S.",
""
]
] |
Cosmological perturbations in an expanding universe back-react on the space-time in which they propagate. Calculations to lowest non-vanishing order in perturbation theory indicate that super-Hubble-scale fluctuations act as a negative and time-dependent cosmological constant and may thus lead to a dynamical relaxation mechanism for the cosmological constant. Here we present a simple model of how to understand this effect from the perspective of homogeneous and isotropic cosmology. Our analysis, however, also shows that an effective spatial curvature is induced, indicating potential problems in realizing the dynamical relaxation of the cosmological constant by means of back-reaction.
| 8.603938
| 7.422615
| 8.461419
| 7.380178
| 7.76541
| 8.004345
| 7.226949
| 7.495762
| 7.631623
| 9.079076
| 7.630209
| 7.650006
| 7.938037
| 7.768073
| 8.112572
| 7.746054
| 7.742029
| 7.802027
| 7.8617
| 7.88729
| 7.557182
|
2106.00015
|
Jun Tsujimura
|
Jun Tsujimura, Yasusada Nambu
|
Holographic entanglement entropy of two disjoint intervals in
AdS$_3$/CFT$_2$
|
5 pages, 2 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Ryu-Takayanagi conjecture predicts a holographic dual of the entanglement
entropy of a CFT. It proposes that the entanglement entropy is given by the
area of the minimal surface in the dual spacetime. In the semi-classical limit,
this conjecture is supported by the saddle point approximation. If there are
multiple classical solutions, it is assumed that only the minimal action
contributes to the entanglement entropy. However, we will point out that these
saddles equally contribute to the entanglement entropy in some cases.
Therefore, the derivation of the conjecture is incomplete if there are multiple
extremal surfaces that extend from a sub-system on the AdS boundary. We will
consider two disjoint intervals in CFT$_{1+1}$ as the simplest but non-trivial
example, and propose another candidate for a holographic dual of the
entanglement entropy of this system, which is the sum of all the signed areas
of extremal surfaces in the dual spacetime. After that, we will derive it from
the CFT calculations and propose the corresponding gravity side action.
|
[
{
"created": "Mon, 31 May 2021 18:00:00 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Apr 2022 12:34:59 GMT",
"version": "v2"
},
{
"created": "Wed, 27 Apr 2022 00:54:10 GMT",
"version": "v3"
},
{
"created": "Sat, 16 Jul 2022 11:00:11 GMT",
"version": "v4"
}
] |
2022-07-19
|
[
[
"Tsujimura",
"Jun",
""
],
[
"Nambu",
"Yasusada",
""
]
] |
The Ryu-Takayanagi conjecture predicts a holographic dual of the entanglement entropy of a CFT. It proposes that the entanglement entropy is given by the area of the minimal surface in the dual spacetime. In the semi-classical limit, this conjecture is supported by the saddle point approximation. If there are multiple classical solutions, it is assumed that only the minimal action contributes to the entanglement entropy. However, we will point out that these saddles equally contribute to the entanglement entropy in some cases. Therefore, the derivation of the conjecture is incomplete if there are multiple extremal surfaces that extend from a sub-system on the AdS boundary. We will consider two disjoint intervals in CFT$_{1+1}$ as the simplest but non-trivial example, and propose another candidate for a holographic dual of the entanglement entropy of this system, which is the sum of all the signed areas of extremal surfaces in the dual spacetime. After that, we will derive it from the CFT calculations and propose the corresponding gravity side action.
| 6.443467
| 6.120046
| 6.598085
| 5.878467
| 6.74988
| 6.242094
| 6.267724
| 6.029135
| 5.929085
| 6.973009
| 6.083137
| 6.204766
| 6.235891
| 6.002779
| 6.091345
| 6.168364
| 6.293149
| 6.149102
| 6.038776
| 6.157062
| 6.141697
|
hep-th/9908040
|
Andreas Recknagel
|
A.Yu. Alekseev (Uppsala), A. Recknagel (AEI Potsdam), V. Schomerus
(Hamburg)
|
Non-commutative World-volume Geometries: Branes on SU(2) and Fuzzy
Spheres
|
19 pages, LaTeX, 1 figure; some explanations improved, references
added
|
JHEP 9909:023,1999
|
10.1088/1126-6708/1999/09/023
|
AEI 1999-11, DESY 99-104, ESI 755 (1999)
|
hep-th
| null |
The geometry of D-branes can be probed by open string scattering. If the
background carries a non-vanishing B-field, the world-volume becomes
non-commutative. Here we explore the quantization of world-volume geometries in
a curved background with non-zero Neveu-Schwarz 3-form field strength H = dB.
Using exact and generally applicable methods from boundary conformal field
theory, we study the example of open strings in the SU(2) Wess-Zumino-Witten
model, and establish a relation with fuzzy spheres or certain (non-associative)
deformations thereof. These findings could be of direct relevance for D-branes
in the presence of Neveu-Schwarz 5-branes; more importantly, they provide
insight into a completely new class of world-volume geometries.
|
[
{
"created": "Wed, 4 Aug 1999 22:24:43 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Sep 1999 15:12:19 GMT",
"version": "v2"
}
] |
2010-02-03
|
[
[
"Alekseev",
"A. Yu.",
"",
"Uppsala"
],
[
"Recknagel",
"A.",
"",
"AEI Potsdam"
],
[
"Schomerus",
"V.",
"",
"Hamburg"
]
] |
The geometry of D-branes can be probed by open string scattering. If the background carries a non-vanishing B-field, the world-volume becomes non-commutative. Here we explore the quantization of world-volume geometries in a curved background with non-zero Neveu-Schwarz 3-form field strength H = dB. Using exact and generally applicable methods from boundary conformal field theory, we study the example of open strings in the SU(2) Wess-Zumino-Witten model, and establish a relation with fuzzy spheres or certain (non-associative) deformations thereof. These findings could be of direct relevance for D-branes in the presence of Neveu-Schwarz 5-branes; more importantly, they provide insight into a completely new class of world-volume geometries.
| 7.622889
| 7.058375
| 8.477614
| 6.899024
| 7.445488
| 7.788944
| 7.676425
| 7.20913
| 7.254196
| 9.142719
| 7.410907
| 7.366541
| 7.720693
| 7.15289
| 7.181345
| 7.287982
| 7.362571
| 7.386569
| 7.12104
| 7.923727
| 7.060215
|
1101.5165
|
Ryo Suzuki
|
Ryo Suzuki
|
Hybrid NLIE for the Mirror AdS_5 x S^5
|
1+39 pages, 2 figures, v2: Discussions in section 3 simplified, typo
corrected, references and note added, v3: Derivation improved, published
version, v4: Revised note added
|
J.Phys.A44:235401,2011
|
10.1088/1751-8113/44/23/235401
|
ITP-UU-11-01, SPIN-11-01
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We revisit the derivation of hybrid nonlinear integral equations of the XXX
model starting from the linearization of the T-system related to spinon
variables. We obtain two sets of equations, corresponding to two linearly
independent solutions of A_1 TQ-relation. Recalling that the TQ-relations in
the horizontal strips of the su(2|4|2)-hook is of A_1 type, we replace the
corresponding Y-functions by a finite number of auxiliary variables.
|
[
{
"created": "Wed, 26 Jan 2011 21:07:59 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Feb 2011 18:06:18 GMT",
"version": "v2"
},
{
"created": "Wed, 13 Apr 2011 11:56:33 GMT",
"version": "v3"
},
{
"created": "Fri, 7 Oct 2011 12:19:23 GMT",
"version": "v4"
}
] |
2015-03-18
|
[
[
"Suzuki",
"Ryo",
""
]
] |
We revisit the derivation of hybrid nonlinear integral equations of the XXX model starting from the linearization of the T-system related to spinon variables. We obtain two sets of equations, corresponding to two linearly independent solutions of A_1 TQ-relation. Recalling that the TQ-relations in the horizontal strips of the su(2|4|2)-hook is of A_1 type, we replace the corresponding Y-functions by a finite number of auxiliary variables.
| 21.7341
| 21.847795
| 27.737768
| 17.879961
| 21.050234
| 22.266855
| 23.027338
| 17.648449
| 17.338783
| 28.879728
| 18.94183
| 18.09511
| 22.705935
| 17.892403
| 18.516113
| 18.264664
| 18.868193
| 18.106491
| 18.95536
| 23.802584
| 19.413378
|
1008.4189
|
Hugo Garcia-Compean
|
Sendic Estrada-Jimenez, Hugo Garcia-Compean, Yong-Shi Wu
|
Renormalization Group Flow for Noncommutative Fermi Liquids
|
27 pages, 2 figures, section 3.2 and conclusions were changed
|
Phys.Rev.D83:125006,2011
|
10.1103/PhysRevD.83.125006
|
CINVESTAV-Fis/75/2010
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Some recent studies of the AdS/CFT correspondence for condensed matter
systems involve the Fermi liquid theory as a boundary field theory. Adding
B-flux to the boundary D-branes leads in a certain limit to the noncommutative
Fermi liquid, which calls for a field theory description of its critical
behavior. As a preliminary step to more general consideration, the modification
of the Landau's Fermi liquid theory due to noncommutativity of spatial
coordinates is studied in this paper. We carry out the renormalization of
interactions at tree level and one loop in a weakly coupled fermion system in
two spatial dimensions. Channels ZS, ZS' and BCS are discussed in detail. It is
shown that while the Gaussian fixed point remains unchanged, the BCS
instability is modified due to the space non-commutativity.
|
[
{
"created": "Wed, 25 Aug 2010 02:17:05 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Oct 2010 23:05:47 GMT",
"version": "v2"
},
{
"created": "Wed, 22 Jun 2011 20:52:49 GMT",
"version": "v3"
}
] |
2011-06-24
|
[
[
"Estrada-Jimenez",
"Sendic",
""
],
[
"Garcia-Compean",
"Hugo",
""
],
[
"Wu",
"Yong-Shi",
""
]
] |
Some recent studies of the AdS/CFT correspondence for condensed matter systems involve the Fermi liquid theory as a boundary field theory. Adding B-flux to the boundary D-branes leads in a certain limit to the noncommutative Fermi liquid, which calls for a field theory description of its critical behavior. As a preliminary step to more general consideration, the modification of the Landau's Fermi liquid theory due to noncommutativity of spatial coordinates is studied in this paper. We carry out the renormalization of interactions at tree level and one loop in a weakly coupled fermion system in two spatial dimensions. Channels ZS, ZS' and BCS are discussed in detail. It is shown that while the Gaussian fixed point remains unchanged, the BCS instability is modified due to the space non-commutativity.
| 10.681096
| 10.435861
| 11.466329
| 10.205444
| 10.523366
| 11.025976
| 10.740323
| 10.398878
| 10.011043
| 12.257326
| 9.932208
| 10.050484
| 10.347594
| 10.014383
| 10.037618
| 10.028417
| 10.018469
| 10.176044
| 9.925793
| 9.885646
| 9.768264
|
0911.2102
|
Felix Finster
|
Felix Finster
|
A Formulation of Quantum Field Theory Realizing a Sea of Interacting
Dirac Particles
|
16 pages, LaTeX, 1 figure, minor changes (published version)
|
Lett.Math.Phys.97:165-183,2011
|
10.1007/s11005-011-0473-1
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this survey article, we explain a few ideas behind the fermionic projector
approach and summarize recent results which clarify the connection to quantum
field theory. The fermionic projector is introduced, which describes the
physical system by a collection of Dirac states, including the states of the
Dirac sea. Formulating the interaction by an action principle for the fermionic
projector, we obtain a consistent description of interacting quantum fields
which reproduces the results of perturbative quantum field theory. We find a
new mechanism for the generation of boson masses and obtain small corrections
to the field equations which violate causality.
|
[
{
"created": "Wed, 11 Nov 2009 19:33:13 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Jul 2010 19:46:01 GMT",
"version": "v2"
},
{
"created": "Sun, 14 Nov 2010 18:44:55 GMT",
"version": "v3"
},
{
"created": "Thu, 28 Apr 2011 07:10:55 GMT",
"version": "v4"
}
] |
2011-07-25
|
[
[
"Finster",
"Felix",
""
]
] |
In this survey article, we explain a few ideas behind the fermionic projector approach and summarize recent results which clarify the connection to quantum field theory. The fermionic projector is introduced, which describes the physical system by a collection of Dirac states, including the states of the Dirac sea. Formulating the interaction by an action principle for the fermionic projector, we obtain a consistent description of interacting quantum fields which reproduces the results of perturbative quantum field theory. We find a new mechanism for the generation of boson masses and obtain small corrections to the field equations which violate causality.
| 7.55425
| 11.065693
| 9.798602
| 8.7656
| 9.823703
| 8.674445
| 10.90791
| 8.999809
| 10.560431
| 10.167394
| 9.295253
| 8.08672
| 8.468386
| 8.077412
| 7.941762
| 8.147218
| 7.817159
| 8.401585
| 8.237699
| 7.706802
| 7.857201
|
hep-th/0310158
|
M. Dan Israel
|
Dan Israel
|
Quantization of heterotic strings in a Goedel/Anti de Sitter spacetime
and chronology protection
|
23 pages; v2: minor changes, references added, version to appear in
JHEP
|
JHEP 0401 (2004) 042
|
10.1088/1126-6708/2004/01/042
| null |
hep-th
| null |
We show that a Goedel-like deformation of AdS3 in heterotic string theory can
be realized as an exact string background. Indeed this class of solutions is
obtained as an exactly marginal deformation of the conformal field theory
describing the NS5/F1 heterotic background. It can also be embedded in type II
superstrings as a Kaluza-Klein reduction. We compute the spectrum of this model
as well as the genus one modular invariant partition function. We discuss the
issue of closed timelike curves and the propagation of long strings. They
destabilize completely the background, although we construct another exact
string background that may describe the result of the condensation of these
long strings. Closed timelike curves are avoided in that case.
|
[
{
"created": "Thu, 16 Oct 2003 15:52:29 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Jan 2004 12:39:52 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Israel",
"Dan",
""
]
] |
We show that a Goedel-like deformation of AdS3 in heterotic string theory can be realized as an exact string background. Indeed this class of solutions is obtained as an exactly marginal deformation of the conformal field theory describing the NS5/F1 heterotic background. It can also be embedded in type II superstrings as a Kaluza-Klein reduction. We compute the spectrum of this model as well as the genus one modular invariant partition function. We discuss the issue of closed timelike curves and the propagation of long strings. They destabilize completely the background, although we construct another exact string background that may describe the result of the condensation of these long strings. Closed timelike curves are avoided in that case.
| 10.691232
| 9.640958
| 11.325422
| 8.757502
| 9.779399
| 9.319521
| 8.985918
| 8.845953
| 9.199691
| 11.452954
| 9.443528
| 9.590659
| 10.224831
| 9.194707
| 9.761277
| 9.705717
| 9.459227
| 9.326763
| 9.479184
| 10.250606
| 9.692393
|
hep-th/0310215
|
Alexandre C. Tort
|
A. A. Bytsenko, V. S. Mendes and A. C. Tort
|
Forms on vector bundles over compact hyperbolic manifolds and entropy
bounds
|
Submitted to the Proceedings of the 6th Workshop on Quantum Field
Theory Under the Influence of External Conditions; 6 pages, no figures. Title
slightly changed
| null | null | null |
hep-th math-ph math.MP
| null |
We analyze gauge theories based on abelian $p-$forms in real compact
hyperbolic manifolds. The explicit thermodynamic functions associated with
skew--symmetric tensor fields are obtained via zeta--function regularization
and the trace tensor kernel formula. Thermodynamic quantities in the
high--temperature expansions are calculated and the entropy/energy ratios are
established.
|
[
{
"created": "Thu, 23 Oct 2003 19:51:02 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Oct 2003 19:21:03 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Bytsenko",
"A. A.",
""
],
[
"Mendes",
"V. S.",
""
],
[
"Tort",
"A. C.",
""
]
] |
We analyze gauge theories based on abelian $p-$forms in real compact hyperbolic manifolds. The explicit thermodynamic functions associated with skew--symmetric tensor fields are obtained via zeta--function regularization and the trace tensor kernel formula. Thermodynamic quantities in the high--temperature expansions are calculated and the entropy/energy ratios are established.
| 24.012363
| 17.597231
| 22.033218
| 18.799952
| 18.497616
| 21.203835
| 22.540745
| 19.268368
| 20.921593
| 22.354662
| 18.499329
| 20.768526
| 23.479086
| 21.124418
| 21.889788
| 20.579395
| 21.20661
| 20.523165
| 21.667601
| 23.222775
| 20.445065
|
hep-th/0507105
|
Itay Yavin
|
Jason Gallicchio and Itay Yavin
|
Curvature as a remedy or discretizing gravity in warped dimensions
|
14 pages, 1 figure
|
JHEP 0605 (2006) 079
|
10.1088/1126-6708/2006/05/079
| null |
hep-th
| null |
The attempt to discretize gravity in flat space is foiled by the appearance
of strongly interacting long wave-length longitudinal modes. In this paper we
show how the introduction of sites with different scales, or equivalently
curvature in the bulk, ameliorate all the problems encountered in flat space
associated with long wave-length modes. However, as one could expect, all such
problem resurface once the mode's wave-length is smaller than the bulk
curvature.
|
[
{
"created": "Mon, 11 Jul 2005 21:56:22 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Jul 2005 00:20:43 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Gallicchio",
"Jason",
""
],
[
"Yavin",
"Itay",
""
]
] |
The attempt to discretize gravity in flat space is foiled by the appearance of strongly interacting long wave-length longitudinal modes. In this paper we show how the introduction of sites with different scales, or equivalently curvature in the bulk, ameliorate all the problems encountered in flat space associated with long wave-length modes. However, as one could expect, all such problem resurface once the mode's wave-length is smaller than the bulk curvature.
| 21.56716
| 19.183998
| 21.67441
| 19.576353
| 23.694319
| 22.63311
| 20.584709
| 20.976328
| 19.630049
| 22.789135
| 20.301992
| 19.71405
| 19.216064
| 19.743252
| 20.913986
| 20.103249
| 20.870089
| 19.85117
| 20.480518
| 19.81287
| 19.532585
|
hep-th/9806007
|
John M. Cornwall
|
John M. Cornwall
|
Nexus solitons in the center vortex picture of QCD
|
LateX, 24 pages, 2 .eps figures
|
Phys.Rev. D58 (1998) 105028
|
10.1103/PhysRevD.58.105028
|
UCLA/98/TEP/16
|
hep-th
| null |
It is very plausible that confinement in QCD comes from linking of Wilson
loops to finite-thickness vortices with magnetic fluxes corresponding to the
center of the gauge group. The vortices are solitons of a gauge-invariant QCD
action representing the generation of gluon mass. There are a number of other
solitonic states of this action. We discuss here what we call nexus solitons,
in which for gauge group SU(N), up to N vortices meet a a center, or nexus,
provided that the total flux of the vortices adds to zero (mod N). There are
fundamentally two kinds of nexuses: Quasi-Abelian, which can be described as
composites of Abelian imbedded monopoles, whose Dirac strings are cancelled by
the flux condition; and fully non-Abelian, resembling a deformed sphaleron.
Analytic solutions are available for the quasi-Abelian case, and we discuss
variational estimates of the action of the fully non-Abelian nexus solitons in
SU(2). The non-Abelian nexuses carry Chern-Simons number (or topological charge
in four dimensions). Their presence does not change the fundamentals of
confinement in the center-vortex picture, but they may lead to a modified
picture of the QCD vacuum.
|
[
{
"created": "Mon, 1 Jun 1998 22:19:48 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Cornwall",
"John M.",
""
]
] |
It is very plausible that confinement in QCD comes from linking of Wilson loops to finite-thickness vortices with magnetic fluxes corresponding to the center of the gauge group. The vortices are solitons of a gauge-invariant QCD action representing the generation of gluon mass. There are a number of other solitonic states of this action. We discuss here what we call nexus solitons, in which for gauge group SU(N), up to N vortices meet a a center, or nexus, provided that the total flux of the vortices adds to zero (mod N). There are fundamentally two kinds of nexuses: Quasi-Abelian, which can be described as composites of Abelian imbedded monopoles, whose Dirac strings are cancelled by the flux condition; and fully non-Abelian, resembling a deformed sphaleron. Analytic solutions are available for the quasi-Abelian case, and we discuss variational estimates of the action of the fully non-Abelian nexus solitons in SU(2). The non-Abelian nexuses carry Chern-Simons number (or topological charge in four dimensions). Their presence does not change the fundamentals of confinement in the center-vortex picture, but they may lead to a modified picture of the QCD vacuum.
| 9.534967
| 10.753711
| 9.862746
| 9.278103
| 9.569862
| 10.602464
| 10.214258
| 10.057699
| 9.404582
| 10.569008
| 9.576574
| 9.206521
| 9.347514
| 9.250145
| 9.512609
| 9.36332
| 9.309476
| 9.570998
| 9.317684
| 9.508704
| 9.393172
|
2004.11395
|
D.G. Delmastro
|
Diego Delmastro, Jaume Gomis
|
Domain Walls in 4d N=1 Supersymmetric Yang-Mills
|
57 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
$4d$ ${\mathcal N}=1$ super Yang-Mills (SYM) with simply connected gauge
group $G$ has $h$ gapped vacua arising from the spontaneously broken discrete
$R$-symmetry, where $h$ is the dual Coxeter number of $G$. Therefore, the
theory admits stable domain walls interpolating between any two vacua, but it
is a nonperturbative problem to determine the low energy theory on the domain
wall. We put forward an explicit answer to this question for all the domain
walls for $G=SU(N),Sp(N), Spin(N)$ and $G_2$, and for the minimal domain wall
connecting neighboring vacua for arbitrary $G$. We propose that the domain wall
theories support specific nontrivial topological quantum field theories
(TQFTs), which include the Chern-Simons theory proposed long ago by
Acharya-Vafa for $SU(N)$. We provide nontrivial evidence for our proposals by
exactly matching renormalization group invariant partition functions twisted by
global symmetries of SYM computed in the ultraviolet with those computed in our
proposed infrared TQFTs. A crucial element in this matching is constructing the
Hilbert space of spin TQFTs, that is, theories that depend on the spin
structure of spacetime and admit fermionic states -- a subject we delve into in
some detail.
|
[
{
"created": "Thu, 23 Apr 2020 18:00:07 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Jan 2021 23:57:27 GMT",
"version": "v2"
}
] |
2021-01-13
|
[
[
"Delmastro",
"Diego",
""
],
[
"Gomis",
"Jaume",
""
]
] |
$4d$ ${\mathcal N}=1$ super Yang-Mills (SYM) with simply connected gauge group $G$ has $h$ gapped vacua arising from the spontaneously broken discrete $R$-symmetry, where $h$ is the dual Coxeter number of $G$. Therefore, the theory admits stable domain walls interpolating between any two vacua, but it is a nonperturbative problem to determine the low energy theory on the domain wall. We put forward an explicit answer to this question for all the domain walls for $G=SU(N),Sp(N), Spin(N)$ and $G_2$, and for the minimal domain wall connecting neighboring vacua for arbitrary $G$. We propose that the domain wall theories support specific nontrivial topological quantum field theories (TQFTs), which include the Chern-Simons theory proposed long ago by Acharya-Vafa for $SU(N)$. We provide nontrivial evidence for our proposals by exactly matching renormalization group invariant partition functions twisted by global symmetries of SYM computed in the ultraviolet with those computed in our proposed infrared TQFTs. A crucial element in this matching is constructing the Hilbert space of spin TQFTs, that is, theories that depend on the spin structure of spacetime and admit fermionic states -- a subject we delve into in some detail.
| 7.616332
| 7.426661
| 8.23056
| 7.76894
| 7.379501
| 7.66392
| 7.298932
| 7.43996
| 7.245986
| 9.281016
| 7.598123
| 7.435554
| 7.749525
| 7.347757
| 7.210307
| 7.257614
| 7.329979
| 7.218147
| 7.218742
| 8.122889
| 7.22394
|
hep-th/0012233
|
Xenia de la Ossa
|
Philip Candelas, Xenia de la Ossa, and Fernando Rodriguez-Villegas
|
Calabi-Yau Manifolds Over Finite Fields, I
|
75 pages, 6 eps figures
| null | null | null |
hep-th
| null |
We study Calabi-Yau manifolds defined over finite fields. These manifolds
have parameters, which now also take values in the field and we compute the
number of rational points of the manifold as a function of the parameters. The
intriguing result is that it is possible to give explicit expressions for the
number of rational points in terms of the periods of the holomorphic
three-form. We show also, for a one parameter family of quintic threefolds,
that the number of rational points of the manifold is closely related to as the
number of rational points of the mirror manifold. Our interest is primarily
with Calabi-Yau threefolds however we consider also the interesting case of
elliptic curves and even the case of a quadric in CP_1 which is a zero
dimensional Calabi-Yau manifold. This zero dimensional manifold has trivial
dependence on the parameter over C but a not trivial arithmetic structure.
|
[
{
"created": "Sun, 24 Dec 2000 15:05:07 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Candelas",
"Philip",
""
],
[
"de la Ossa",
"Xenia",
""
],
[
"Rodriguez-Villegas",
"Fernando",
""
]
] |
We study Calabi-Yau manifolds defined over finite fields. These manifolds have parameters, which now also take values in the field and we compute the number of rational points of the manifold as a function of the parameters. The intriguing result is that it is possible to give explicit expressions for the number of rational points in terms of the periods of the holomorphic three-form. We show also, for a one parameter family of quintic threefolds, that the number of rational points of the manifold is closely related to as the number of rational points of the mirror manifold. Our interest is primarily with Calabi-Yau threefolds however we consider also the interesting case of elliptic curves and even the case of a quadric in CP_1 which is a zero dimensional Calabi-Yau manifold. This zero dimensional manifold has trivial dependence on the parameter over C but a not trivial arithmetic structure.
| 8.082737
| 8.528159
| 8.670974
| 8.039639
| 8.74369
| 8.62051
| 9.012925
| 8.381362
| 7.918985
| 8.75028
| 7.8623
| 8.119687
| 7.886007
| 7.825781
| 7.741172
| 7.906969
| 7.807819
| 7.964008
| 7.839679
| 8.153098
| 7.545551
|
hep-th/9706079
|
Sergei Ketov
|
Sergei V. Ketov (ITP, University of Hannover)
|
On the next-to-leading-order correction to the effective action in N=2
gauge theories
|
15 pages, LaTeX; changes in the abstract and in sect. 3
|
Phys. Rev. D 57, 1277 (1998)
|
10.1103/PhysRevD.57.1277
|
DESY 97--103 and ITP-UH-18/97
|
hep-th
| null |
I attempt to analyse the next-to-leading-order non-holomorphic contribution
to the Wilsonian low-energy effective action in the four-dimensional N=2 gauge
theories with matter, from the manifestly N=2 supersymmeric point of view, by
using the harmonic superspace. The perturbative one-loop correction is found to
be in agreement with the N=1 superfield calculations of de Wit, Grisaru and
Rocek. The previously unknown coefficient in front of this non-holomorphic
correction is calculated. A special attention is devoted to the N=2
superconformal gauge theories, whose one-loop non-holomorphic contribution is
likely to be exact, even non-perturbatively. This leading (one-loop)
non-holomorphic contribution to the LEEA of the N=2 superconformally invariant
gauge field theories is calculated, and it does not vanish, similarly to the
case of the N=4 super-Yang-Mills theory.
|
[
{
"created": "Wed, 11 Jun 1997 14:32:29 GMT",
"version": "v1"
},
{
"created": "Fri, 31 Oct 1997 08:49:55 GMT",
"version": "v2"
},
{
"created": "Wed, 13 May 1998 18:51:09 GMT",
"version": "v3"
}
] |
2016-08-25
|
[
[
"Ketov",
"Sergei V.",
"",
"ITP, University of Hannover"
]
] |
I attempt to analyse the next-to-leading-order non-holomorphic contribution to the Wilsonian low-energy effective action in the four-dimensional N=2 gauge theories with matter, from the manifestly N=2 supersymmeric point of view, by using the harmonic superspace. The perturbative one-loop correction is found to be in agreement with the N=1 superfield calculations of de Wit, Grisaru and Rocek. The previously unknown coefficient in front of this non-holomorphic correction is calculated. A special attention is devoted to the N=2 superconformal gauge theories, whose one-loop non-holomorphic contribution is likely to be exact, even non-perturbatively. This leading (one-loop) non-holomorphic contribution to the LEEA of the N=2 superconformally invariant gauge field theories is calculated, and it does not vanish, similarly to the case of the N=4 super-Yang-Mills theory.
| 6.735564
| 6.477426
| 7.92809
| 6.361007
| 6.82321
| 6.762525
| 6.246001
| 6.343233
| 6.405182
| 8.069996
| 6.259166
| 6.21966
| 6.497278
| 6.208447
| 6.082553
| 6.239164
| 6.178271
| 6.252793
| 6.262015
| 6.639106
| 6.128094
|
hep-th/0610256
|
Sofiane Bourouaine
|
S. Bourouaine and A. Benslama
|
MHD waves within Noncommutative Maxwell theory
|
7 pages, 4 figures, references added with comments, appear in
Phys.Lett.B
|
Phys.Lett.B650:90-96,2007; Erratum-ibid.B655:309,2007;
Erratum-ibid.B655:310,2007
|
10.1016/j.physletb.2007.04.033 10.1016/j.physletb.2007.09.026
10.1016/j.physletb.2007.06.061
| null |
hep-th astro-ph
| null |
In the presence of a strong uniform magnetic field, we study the influence of
space noncommutativity on the electromagnetic waves propagating through a
quasi-static homogeneous plasma. In this treatment, we have adopted a physical
model which considers plasma as quasi-neutral single fluid. By using
noncommutative Maxwell theory, the ideal magnetohydrodynamics (MHD) equations
are established, in which new equilibrium conditions are extracted. As an
empirical study, some attractive features of MHD waves behavior are
investigated. Furthermore, it is shown that the presence of space
noncommutativity enhances slightly the phase velocity of the incompressive
shear Alfv\'{e}n waves. In a compressible plasma, the noncommutativity plays
the role of an additional compression on the medium, in which its relevant
effect on the fast mode occurs for highly oblique branchs, while the low effect
appears when the propagations are nearly parallel or anti-parallel. In
addition, it turned out that the influence of space deformation on the slow
modes is $\sim 10^{3}$ times smaller than that on the fast modes. The space
noncommutativity effect on the slow waves is negligible in low plasma $\beta $
value, and could appear when $\beta $ is higher than $0.1,$ thus the extreme
modification occurs for oblique slow waves propagating with angles between
$30^{\circ}$ and $60^{\circ}$. Finally, we comment on the possible effect of
such waves on CMB spectrum in photon-baryon plasma.
|
[
{
"created": "Mon, 23 Oct 2006 20:27:13 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Jan 2007 15:50:23 GMT",
"version": "v2"
},
{
"created": "Tue, 8 May 2007 11:26:59 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Bourouaine",
"S.",
""
],
[
"Benslama",
"A.",
""
]
] |
In the presence of a strong uniform magnetic field, we study the influence of space noncommutativity on the electromagnetic waves propagating through a quasi-static homogeneous plasma. In this treatment, we have adopted a physical model which considers plasma as quasi-neutral single fluid. By using noncommutative Maxwell theory, the ideal magnetohydrodynamics (MHD) equations are established, in which new equilibrium conditions are extracted. As an empirical study, some attractive features of MHD waves behavior are investigated. Furthermore, it is shown that the presence of space noncommutativity enhances slightly the phase velocity of the incompressive shear Alfv\'{e}n waves. In a compressible plasma, the noncommutativity plays the role of an additional compression on the medium, in which its relevant effect on the fast mode occurs for highly oblique branchs, while the low effect appears when the propagations are nearly parallel or anti-parallel. In addition, it turned out that the influence of space deformation on the slow modes is $\sim 10^{3}$ times smaller than that on the fast modes. The space noncommutativity effect on the slow waves is negligible in low plasma $\beta $ value, and could appear when $\beta $ is higher than $0.1,$ thus the extreme modification occurs for oblique slow waves propagating with angles between $30^{\circ}$ and $60^{\circ}$. Finally, we comment on the possible effect of such waves on CMB spectrum in photon-baryon plasma.
| 10.847299
| 11.374455
| 11.14142
| 10.994859
| 10.956562
| 11.136407
| 11.54898
| 10.996015
| 10.972573
| 10.567007
| 10.522017
| 10.448266
| 10.163238
| 10.220895
| 10.532043
| 10.404783
| 10.571823
| 10.509834
| 10.378507
| 10.527585
| 10.407048
|
2104.12738
|
Yuri Gomes
|
Y.M.P. Gomes
|
Dyson-Schwinger equation approach to Lorentz Symmetry Breaking with
finite temperature and chemical potential
|
Published version
|
Phys. Rev. D 104, 015022 (2021)
|
10.1103/PhysRevD.104.015022
| null |
hep-th hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
In this work, we investigate the dynamical breakdown of Lorentz symmetry in 4
dimensions by the condensation of a fermionic field described by a Dirac
Lagrangian with a four-fermion interaction. Using the Keldysh formalism we show
that the Lorentz symmetry breaking modifies the Dyson-Schwinger equations of
the fermionic propagator. We analyze the nonperturbative solutions for the
Dyson-Schwinger equations using the combination of the rainbow and quenched
approximations and show that, in equilibrium, the Lorentz symmetry breakdown
can occur in the strong coupling regime and new features arise from this
approach. Finally, we analyze the contributions of temperature and chemical
potential and find the respective phase diagram of the model and analyze the
dependence of the critical temperature and chemical potential as functions of
the coupling constant.
|
[
{
"created": "Mon, 26 Apr 2021 17:30:45 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Jul 2021 18:09:55 GMT",
"version": "v2"
}
] |
2021-07-21
|
[
[
"Gomes",
"Y. M. P.",
""
]
] |
In this work, we investigate the dynamical breakdown of Lorentz symmetry in 4 dimensions by the condensation of a fermionic field described by a Dirac Lagrangian with a four-fermion interaction. Using the Keldysh formalism we show that the Lorentz symmetry breaking modifies the Dyson-Schwinger equations of the fermionic propagator. We analyze the nonperturbative solutions for the Dyson-Schwinger equations using the combination of the rainbow and quenched approximations and show that, in equilibrium, the Lorentz symmetry breakdown can occur in the strong coupling regime and new features arise from this approach. Finally, we analyze the contributions of temperature and chemical potential and find the respective phase diagram of the model and analyze the dependence of the critical temperature and chemical potential as functions of the coupling constant.
| 7.175289
| 6.835544
| 6.365198
| 6.503438
| 6.656322
| 6.713243
| 6.512989
| 6.977662
| 6.130251
| 6.823061
| 6.413999
| 6.287849
| 6.571603
| 6.325914
| 6.379503
| 6.429082
| 6.392145
| 6.425663
| 6.385103
| 6.614439
| 6.301421
|
0712.0856
|
Robert Finkelstein j
|
Robert J. Finkelstein
|
The Strong and Gravitational Couplings of Knotted Solitons
|
LaTex file; 23 pages
| null | null |
UCLA/07/TEP/28
|
hep-th
| null |
We extend our earlier study of the electroweak interactions of quantum knots
to their gravitational and strong interactions. The knots are defined by
appropriate quantum groups and are intended to describe all knotted field
structures that conserve mass and spin, charge and hypercharge, as well as
color charge and color hypercharge. As sources of the gravitational fields the
knots are described as representations of the quantum group $SL_q(2)$ and as
sources of the electroweak and strong fields they are described by $SU_q(2)$.
When the point sources of the standard theory are replaced by the quantum
knots, the interaction terms of the new Lagrangian density acquire knot form
factors and the standard local gauge invariance is supplemented by an
additional global $U(1)\times U(1)$ invariance of the $SU_q(2)$ algebra.
|
[
{
"created": "Thu, 6 Dec 2007 00:17:43 GMT",
"version": "v1"
}
] |
2007-12-07
|
[
[
"Finkelstein",
"Robert J.",
""
]
] |
We extend our earlier study of the electroweak interactions of quantum knots to their gravitational and strong interactions. The knots are defined by appropriate quantum groups and are intended to describe all knotted field structures that conserve mass and spin, charge and hypercharge, as well as color charge and color hypercharge. As sources of the gravitational fields the knots are described as representations of the quantum group $SL_q(2)$ and as sources of the electroweak and strong fields they are described by $SU_q(2)$. When the point sources of the standard theory are replaced by the quantum knots, the interaction terms of the new Lagrangian density acquire knot form factors and the standard local gauge invariance is supplemented by an additional global $U(1)\times U(1)$ invariance of the $SU_q(2)$ algebra.
| 9.205745
| 9.506552
| 9.616398
| 8.957321
| 9.408351
| 9.679802
| 9.171678
| 9.293746
| 9.040621
| 9.464394
| 8.918959
| 9.081939
| 9.091169
| 8.721097
| 9.101949
| 8.992551
| 9.024282
| 8.950883
| 8.91104
| 8.78929
| 8.750165
|
0908.2621
|
\'Arp\'ad Luk\'acs
|
Peter Forgacs, Arpad Lukacs
|
Instabilities of Twisted Strings
|
27 pages, 18 figures. Typos corrected, references added
|
JHEP 0912:064,2009
|
10.1088/1126-6708/2009/12/064
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A linear stability analysis of twisted flux-tubes (strings) in an SU(2)
semilocal theory -- an Abelian-Higgs model with two charged scalar fields with
a global SU(2) symmetry -- is carried out. Here the twist refers to a relative
phase between the two complex scalars (with linear dependence on, say, the $z$
coordinate), and importantly it leads to a global current flowing along the the
string. Such twisted strings bifurcate with the Abrikosov-Nielsen-Olesen (ANO)
solution embedded in the semilocal theory. Our numerical investigations of the
small fluctuation spectrum confirm previous results that twisted strings
exhibit instabilities whose amplitudes grow exponentially in time. More
precisely twisted strings with a single magnetic flux quantum admit a
continuous family of unstable eigenmodes with harmonic $z$ dependence, indexed
by a wavenumber $k\in[-k_{\rm m},k_{\rm m}]$. Carrying out a perturbative
semi-analytic analysis of the bifurcation, it is found that the purely
numerical results are very well reproduced. This way one obtains not only a
good qualitative description of the twisted solutions themselves as well as of
their instabilities, but also a quantitative description of the numerical
results. Our semi-analytic results indicate that in close analogy to the known
instability of the embedded ANO vortex a twisted string is also likely to
expand in size caused by the spreading out of its magnetic flux.
|
[
{
"created": "Tue, 18 Aug 2009 19:51:06 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Nov 2009 14:06:26 GMT",
"version": "v2"
}
] |
2010-01-06
|
[
[
"Forgacs",
"Peter",
""
],
[
"Lukacs",
"Arpad",
""
]
] |
A linear stability analysis of twisted flux-tubes (strings) in an SU(2) semilocal theory -- an Abelian-Higgs model with two charged scalar fields with a global SU(2) symmetry -- is carried out. Here the twist refers to a relative phase between the two complex scalars (with linear dependence on, say, the $z$ coordinate), and importantly it leads to a global current flowing along the the string. Such twisted strings bifurcate with the Abrikosov-Nielsen-Olesen (ANO) solution embedded in the semilocal theory. Our numerical investigations of the small fluctuation spectrum confirm previous results that twisted strings exhibit instabilities whose amplitudes grow exponentially in time. More precisely twisted strings with a single magnetic flux quantum admit a continuous family of unstable eigenmodes with harmonic $z$ dependence, indexed by a wavenumber $k\in[-k_{\rm m},k_{\rm m}]$. Carrying out a perturbative semi-analytic analysis of the bifurcation, it is found that the purely numerical results are very well reproduced. This way one obtains not only a good qualitative description of the twisted solutions themselves as well as of their instabilities, but also a quantitative description of the numerical results. Our semi-analytic results indicate that in close analogy to the known instability of the embedded ANO vortex a twisted string is also likely to expand in size caused by the spreading out of its magnetic flux.
| 9.174753
| 8.918993
| 9.626252
| 8.876813
| 9.131787
| 9.232325
| 9.4315
| 9.103745
| 9.002518
| 10.387396
| 9.155869
| 8.630913
| 8.938987
| 8.616154
| 8.606256
| 8.737347
| 8.853597
| 8.614113
| 8.853069
| 8.969466
| 8.588572
|
hep-th/0311250
|
Juan F. Garcia-Cascales
|
Juan F. G. Cascales, Angel M. Uranga
|
Chiral 4d String Vacua with D-branes and Moduli Stabilization
|
22 pages, no figures; references added
| null | null |
FTUAM-03/24, IFT-UAM/CSIC-03-45
|
hep-th hep-ph
| null |
We discuss type IIB orientifolds with D-branes, and NSNS and RR field
strength fluxes, with D-brane sectors leading to open string spectra with
non-abelian gauge symmetry and charged chiral fermions. The closed string field
strengths generate a scalar potential stabilizing most moduli. Hence the models
combine the advantages of leading to phenomenologically interesting (and even
semirealistic) chiral open string spectra, and of stabilizing the dilaton and
most geometric moduli. We describe the explicit construction of two classes of
non-supersymmetric models on $\IT^6$ and orbifolds/orientifolds thereof, with
chiral gauge sector arising from configurations of D3-branes at singularities,
and from D9-branes with non-trivial world-volume magnetic fields. The latter
examples yield the chiral spectrum of just the Standard Model.
|
[
{
"created": "Wed, 26 Nov 2003 11:29:20 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Dec 2003 16:00:24 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Cascales",
"Juan F. G.",
""
],
[
"Uranga",
"Angel M.",
""
]
] |
We discuss type IIB orientifolds with D-branes, and NSNS and RR field strength fluxes, with D-brane sectors leading to open string spectra with non-abelian gauge symmetry and charged chiral fermions. The closed string field strengths generate a scalar potential stabilizing most moduli. Hence the models combine the advantages of leading to phenomenologically interesting (and even semirealistic) chiral open string spectra, and of stabilizing the dilaton and most geometric moduli. We describe the explicit construction of two classes of non-supersymmetric models on $\IT^6$ and orbifolds/orientifolds thereof, with chiral gauge sector arising from configurations of D3-branes at singularities, and from D9-branes with non-trivial world-volume magnetic fields. The latter examples yield the chiral spectrum of just the Standard Model.
| 9.446127
| 7.631072
| 11.368271
| 8.221128
| 9.013206
| 7.427414
| 8.317018
| 7.762347
| 8.151971
| 11.713081
| 7.778459
| 8.719977
| 10.182231
| 8.793824
| 9.357857
| 8.809539
| 8.652842
| 8.711033
| 8.65834
| 9.808655
| 8.656527
|
hep-th/9812224
|
Eduardo Eyras
|
E. Bergshoeff, E. Eyras, R. Halbersma, C.M. Hull, Y. Lozano, J.P. van
der Schaar
|
Spacetime-Filling Branes and Strings with Sixteen Supercharges
|
43 pages, LaTeX, 8 figures, uses html.sty, version to appear in Nucl.
Phys. B
|
Nucl.Phys. B564 (2000) 29-59
| null |
UG-15/98, QMW-PH-98-39, SPIN-98/14
|
hep-th
| null |
We discuss branes whose worldvolume dimension equals the target spacetime
dimension, i.e. ``spacetime-filling branes''. In addition to the D9-branes,
there are 9-branes in the NS-NS sectors of both the IIA and IIB strings. The
worldvolume actions of these branes are constructed, via duality, from the
known actions of branes with codimension larger than zero. Each of these types
of branes is used in the construction of a string theory with sixteen
supercharges by modding out a type II string by an appropriate discrete
symmetry and adding 32 9-branes. These constructions are related by a web of
dualities and each arises as a different limit of the Horava-Witten
construction.
|
[
{
"created": "Wed, 23 Dec 1998 20:05:43 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Aug 1999 16:37:46 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Bergshoeff",
"E.",
""
],
[
"Eyras",
"E.",
""
],
[
"Halbersma",
"R.",
""
],
[
"Hull",
"C. M.",
""
],
[
"Lozano",
"Y.",
""
],
[
"van der Schaar",
"J. P.",
""
]
] |
We discuss branes whose worldvolume dimension equals the target spacetime dimension, i.e. ``spacetime-filling branes''. In addition to the D9-branes, there are 9-branes in the NS-NS sectors of both the IIA and IIB strings. The worldvolume actions of these branes are constructed, via duality, from the known actions of branes with codimension larger than zero. Each of these types of branes is used in the construction of a string theory with sixteen supercharges by modding out a type II string by an appropriate discrete symmetry and adding 32 9-branes. These constructions are related by a web of dualities and each arises as a different limit of the Horava-Witten construction.
| 7.941501
| 7.841251
| 10.173956
| 7.635947
| 8.123796
| 8.214102
| 8.176743
| 7.884689
| 7.627748
| 9.231781
| 8.120289
| 7.946943
| 8.464647
| 7.712434
| 7.442731
| 7.778369
| 7.794355
| 7.62793
| 7.967477
| 8.182674
| 7.682216
|
hep-th/0506207
|
Sergio Arianos
|
A. Apolloni, S. Arianos and A. D'Adda
|
A new large N phase transition in YM2
|
23 pages, 3 figures
|
Nucl.Phys. B744 (2006) 340-357
|
10.1016/j.nuclphysb.2006.03.017
|
DFTT 18/05
|
hep-th
| null |
Inspired by the interpretation of two dimensional Yang-Mills theory on a
cylinder as a random walk on the gauge group, we point out the existence of a
large N transition which is the gauge theory analogue of the cutoff transition
in random walks. The transition occurs in the strong coupling region, with the
't Hooft coupling scaling as alpha*log(N), at a critical value of alpha (alpha
= 4 on the sphere). The two phases below and above the transition are studied
in detail. The effective number of degrees of freedom and the free energy are
found to be proportional to N^(2-alpha/2) below the transition and to vanish
altogether above it. The expectation value of a Wilson loop is calculated to
the leading order and found to coincide in both phases with the strong coupling
value.
|
[
{
"created": "Fri, 24 Jun 2005 09:33:50 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Apolloni",
"A.",
""
],
[
"Arianos",
"S.",
""
],
[
"D'Adda",
"A.",
""
]
] |
Inspired by the interpretation of two dimensional Yang-Mills theory on a cylinder as a random walk on the gauge group, we point out the existence of a large N transition which is the gauge theory analogue of the cutoff transition in random walks. The transition occurs in the strong coupling region, with the 't Hooft coupling scaling as alpha*log(N), at a critical value of alpha (alpha = 4 on the sphere). The two phases below and above the transition are studied in detail. The effective number of degrees of freedom and the free energy are found to be proportional to N^(2-alpha/2) below the transition and to vanish altogether above it. The expectation value of a Wilson loop is calculated to the leading order and found to coincide in both phases with the strong coupling value.
| 8.8971
| 8.125106
| 9.846976
| 7.993533
| 7.686778
| 7.746061
| 7.975173
| 7.249661
| 7.701068
| 10.937277
| 7.764427
| 7.988846
| 8.584243
| 8.216979
| 7.903887
| 8.002384
| 8.123438
| 7.755275
| 8.294128
| 8.626261
| 7.906183
|
hep-th/9111041
| null |
Anirvan M. Sengupta
|
Instabilities in the gravitational background and string theory
|
9pages
| null | null | null |
hep-th
| null |
We indicate the tentative source of instability in the two-dimensional black
hole background. There are relevant operators among the tachyon and the higher
level vertex operators in the conformal field theory. Connection of this
instability with Hawking radiation is not obvious. The situation is somewhat
analogous to fields in the background of a negative mass Euclidean
Schwarzschild solution (in four dimensions). Speculation is made about decay of
the Minkowski black hole into finite temperature flat space.
|
[
{
"created": "Thu, 21 Nov 1991 08:32:00 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Sengupta",
"Anirvan M.",
""
]
] |
We indicate the tentative source of instability in the two-dimensional black hole background. There are relevant operators among the tachyon and the higher level vertex operators in the conformal field theory. Connection of this instability with Hawking radiation is not obvious. The situation is somewhat analogous to fields in the background of a negative mass Euclidean Schwarzschild solution (in four dimensions). Speculation is made about decay of the Minkowski black hole into finite temperature flat space.
| 19.827
| 16.334608
| 19.154877
| 16.20908
| 16.45533
| 16.471666
| 16.711054
| 17.020605
| 16.162994
| 19.445339
| 15.272262
| 16.725092
| 18.940487
| 17.249462
| 17.03581
| 17.088917
| 16.721371
| 18.117071
| 16.923479
| 18.587803
| 16.7701
|
1812.11641
|
Samir Mathur
|
Samir D. Mathur
|
What does the information paradox say about the universe?
|
31 pages, 8 figures, Expanded version of the proceedings of the
conference `The Physical Universe', Nagpur, March 2018
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The black hole information paradox is resolved in string theory by a radical
change in the picture of the hole: black hole microstates are horizon sized
quantum gravity objects called `fuzzballs' instead of vacuum regions with a
central singularity. The requirement of causality implies that the quantum
gravity wavefunctional $\Psi$ has an important component not present in the
semiclassical picture: virtual fuzzballs. The large mass $M$ of the fuzzballs
would suppress their virtual fluctuations, but this suppression is compensated
by the large number -- $Exp[S_{bek}(M)]$ -- of possible fuzzballs. These
fuzzballs are extended compression-resistant objects. The presence of these
objects in the vacuum wavefunctional alters the physics of collapse when a
horizon is about to form; this resolves the information paradox. We argue that
these virtual fuzzballs also resist the curving of spacetime, and so cancel out
the large cosmological constant created by the vacuum energy of local quantum
fields. Assuming that the Birkoff theorem holds to leading order, we can map
the black hole information problem to a problem in cosmology. Using the virtual
fuzzball component of the wavefunctional, we give a qualitative picture of the
evolution of $\Psi$ which is consistent with the requirements placed by the
information paradox.
|
[
{
"created": "Mon, 31 Dec 2018 00:00:49 GMT",
"version": "v1"
}
] |
2019-01-01
|
[
[
"Mathur",
"Samir D.",
""
]
] |
The black hole information paradox is resolved in string theory by a radical change in the picture of the hole: black hole microstates are horizon sized quantum gravity objects called `fuzzballs' instead of vacuum regions with a central singularity. The requirement of causality implies that the quantum gravity wavefunctional $\Psi$ has an important component not present in the semiclassical picture: virtual fuzzballs. The large mass $M$ of the fuzzballs would suppress their virtual fluctuations, but this suppression is compensated by the large number -- $Exp[S_{bek}(M)]$ -- of possible fuzzballs. These fuzzballs are extended compression-resistant objects. The presence of these objects in the vacuum wavefunctional alters the physics of collapse when a horizon is about to form; this resolves the information paradox. We argue that these virtual fuzzballs also resist the curving of spacetime, and so cancel out the large cosmological constant created by the vacuum energy of local quantum fields. Assuming that the Birkoff theorem holds to leading order, we can map the black hole information problem to a problem in cosmology. Using the virtual fuzzball component of the wavefunctional, we give a qualitative picture of the evolution of $\Psi$ which is consistent with the requirements placed by the information paradox.
| 13.01991
| 12.638247
| 13.237243
| 12.04276
| 13.713508
| 12.965783
| 12.870273
| 12.490509
| 12.131979
| 14.346999
| 12.419852
| 12.223864
| 13.179061
| 12.627154
| 12.612877
| 12.67172
| 12.546905
| 12.773711
| 12.26507
| 12.889619
| 12.301079
|
2301.00763
|
Pietro Benetti Genolini
|
Pietro Benetti Genolini, Alejandro Cabo-Bizet, Sameer Murthy
|
Supersymmetric phases of AdS$_4$/CFT$_3$
|
52 pages plus appendices; v2: updated references and added comments
on holographic renormalization
| null |
10.1007/JHEP06(2023)125
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We exhibit an infinite family of supersymmetric phases in the
three-dimensional ABJM superconformal field theory and the dual asymptotically
AdS$_4$ gravity. They are interpreted as partially deconfined phases which
generalize the confined/pure AdS phase and deconfined/supersymmetric black hole
phase. Our analysis involves finding a family of saddle-points of the
superconformal index labelled by rational points (equivalently, roots of
unity), separately in the bulk and boundary theories. In the ABJM theory we
calculate the free energy of each saddle by the large-$N$ asymptotic expansion
of the superconformal index to all orders in perturbation theory near the
saddle-point. We find that this expansion terminates at finite order. In the
gravitational theory we show that there is a corresponding family of solutions,
constructed by orbifolding the eleven-dimensional uplift of the supersymmetric
black hole. The on-shell gravitational action of each orbifold agrees with the
free energy of the corresponding saddle in the SCFT. We find that there are two
saddles in the ABJM theory with the same entropy as the supersymmetric black
hole, corresponding to the two primitive fourth-roots of unity, which causes
macroscopic oscillations in the microcanonical index.
|
[
{
"created": "Mon, 2 Jan 2023 17:22:29 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Jun 2023 15:49:55 GMT",
"version": "v2"
}
] |
2023-06-26
|
[
[
"Genolini",
"Pietro Benetti",
""
],
[
"Cabo-Bizet",
"Alejandro",
""
],
[
"Murthy",
"Sameer",
""
]
] |
We exhibit an infinite family of supersymmetric phases in the three-dimensional ABJM superconformal field theory and the dual asymptotically AdS$_4$ gravity. They are interpreted as partially deconfined phases which generalize the confined/pure AdS phase and deconfined/supersymmetric black hole phase. Our analysis involves finding a family of saddle-points of the superconformal index labelled by rational points (equivalently, roots of unity), separately in the bulk and boundary theories. In the ABJM theory we calculate the free energy of each saddle by the large-$N$ asymptotic expansion of the superconformal index to all orders in perturbation theory near the saddle-point. We find that this expansion terminates at finite order. In the gravitational theory we show that there is a corresponding family of solutions, constructed by orbifolding the eleven-dimensional uplift of the supersymmetric black hole. The on-shell gravitational action of each orbifold agrees with the free energy of the corresponding saddle in the SCFT. We find that there are two saddles in the ABJM theory with the same entropy as the supersymmetric black hole, corresponding to the two primitive fourth-roots of unity, which causes macroscopic oscillations in the microcanonical index.
| 8.606741
| 8.614677
| 10.522518
| 8.232331
| 8.539876
| 8.754162
| 8.685631
| 7.934533
| 8.299325
| 11.43164
| 8.353174
| 8.671277
| 8.990716
| 8.230803
| 8.41893
| 8.582054
| 8.508488
| 8.474958
| 8.3924
| 8.995197
| 8.327946
|
1002.4431
|
Tameem Albash
|
Tameem Albash
|
Non-Unitary Fermionic Quasinormal Modes at Zero Frequency
|
23 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the dynamics of a probe fermion charged under a U(1) Maxwell
field and a two form potential $B_{(2)}$ in a five dimensional gravity
background. The gravity background is constructed from a new solution we find
of type IIB supergravity. This new solution is expected to be dual to
non-commutative Yang-Mills theory in the 't Hooft limit with global U(1)
currents. We study the zero frequency, near horizon behavior of the fermion,
where the equations of motion reduce to that of two interacting fermions in
AdS$_2$ with an electric field. We show that the operator dimensions in the
AdS$_2$ space are complex, leading to the two components of the retarded
Green's function in the dual theory to be complex conjugates of each other. In
order to preserve unitarity, this result implies there are no zero frequency
quasinormal modes in our system. This has important implications for
generalizations of recent holographic Fermi liquid setups with AdS$_2$ regions,
as it suggests that infinite lifetime excitations can have energies above/below
the chemical potential. Therefore, the Fermi energy may not be uniquely set by
the chemical potential. Furthermore, since the gravity background breaks
rotational symmetry along the spatial directions of the dual Yang-Mills theory,
we do not expect the Fermi surface to be spherical in shape in momentum space.
|
[
{
"created": "Tue, 23 Feb 2010 22:20:46 GMT",
"version": "v1"
}
] |
2010-02-25
|
[
[
"Albash",
"Tameem",
""
]
] |
We consider the dynamics of a probe fermion charged under a U(1) Maxwell field and a two form potential $B_{(2)}$ in a five dimensional gravity background. The gravity background is constructed from a new solution we find of type IIB supergravity. This new solution is expected to be dual to non-commutative Yang-Mills theory in the 't Hooft limit with global U(1) currents. We study the zero frequency, near horizon behavior of the fermion, where the equations of motion reduce to that of two interacting fermions in AdS$_2$ with an electric field. We show that the operator dimensions in the AdS$_2$ space are complex, leading to the two components of the retarded Green's function in the dual theory to be complex conjugates of each other. In order to preserve unitarity, this result implies there are no zero frequency quasinormal modes in our system. This has important implications for generalizations of recent holographic Fermi liquid setups with AdS$_2$ regions, as it suggests that infinite lifetime excitations can have energies above/below the chemical potential. Therefore, the Fermi energy may not be uniquely set by the chemical potential. Furthermore, since the gravity background breaks rotational symmetry along the spatial directions of the dual Yang-Mills theory, we do not expect the Fermi surface to be spherical in shape in momentum space.
| 8.701661
| 8.843641
| 9.570451
| 8.233137
| 9.106762
| 9.078777
| 8.502118
| 8.653124
| 8.676698
| 10.366255
| 8.594573
| 8.578449
| 8.721182
| 8.422708
| 8.533349
| 8.657284
| 8.37939
| 8.560143
| 8.308262
| 8.85403
| 8.290173
|
2204.10014
|
Michal Pazderka
|
Klaus Bering and Michal Pazderka
|
Symplectic Grassmannians, dual conformal symmetry and 4-point amplitudes
in 6D
|
37 pages, LaTeX, v2: published version
|
JHEP 09 (2022) 054
|
10.1007/JHEP09(2022)054
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate a new algebra-based approach of finding Grassmannian formulas
for scattering amplitudes. Our prime motivation is massive amplitudes of 4D
$\mathcal{N}=4$ SYM, and therefore we consider a 6D Grassmannian formula, where
we can take advantage of massless kinematics. We next use symmetry arguments,
and in particular, 6D dual conformal symmetry generalized to arbitrary dual
conformal weights. Assuming a rational ansatz in terms of Pl\"{u}cker
coordinates (i.e. minors) for the integrand, this approach leads to a set of
algebraic equations. As an example, we explicitly find the solution for 4-point
scattering amplitudes up to proportionality constants.
|
[
{
"created": "Thu, 21 Apr 2022 10:43:02 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Dec 2022 15:44:07 GMT",
"version": "v2"
}
] |
2022-12-06
|
[
[
"Bering",
"Klaus",
""
],
[
"Pazderka",
"Michal",
""
]
] |
We investigate a new algebra-based approach of finding Grassmannian formulas for scattering amplitudes. Our prime motivation is massive amplitudes of 4D $\mathcal{N}=4$ SYM, and therefore we consider a 6D Grassmannian formula, where we can take advantage of massless kinematics. We next use symmetry arguments, and in particular, 6D dual conformal symmetry generalized to arbitrary dual conformal weights. Assuming a rational ansatz in terms of Pl\"{u}cker coordinates (i.e. minors) for the integrand, this approach leads to a set of algebraic equations. As an example, we explicitly find the solution for 4-point scattering amplitudes up to proportionality constants.
| 11.56441
| 10.607654
| 10.59442
| 10.562128
| 10.540974
| 11.857994
| 11.276232
| 10.434483
| 11.070927
| 11.461105
| 11.048856
| 10.457407
| 10.975766
| 10.05572
| 10.20651
| 10.139797
| 10.336985
| 10.115998
| 10.318205
| 11.036892
| 10.812548
|
hep-th/0309167
|
Boris Kors
|
Boris Kors (MIT, LNS) and Pran Nath (Northeastern U.)
|
Effective Action and Soft Supersymmetry Breaking for Intersecting
D-brane Models
|
50 pages; v4: minor corrections, some comments and references added
|
Nucl.Phys.B681:77-119,2004
|
10.1016/j.nuclphysb.2004.01.002
|
MIT-CTP-3418, NUB-TH- 3240
|
hep-th hep-ph
| null |
We consider a generic scenario of spontaneous breaking of supersymmetry in
the hidden sector within N=1 supersymmetric orientifold compactifications of
type II string theories with D-branes that support semi-realistic chiral gauge
theories. The soft breaking terms in the visible sector of the models are
computed in a standard way without specifying the breaking mechanism, which
leads to expressions that generalize those formerly known for heterotic or type
I string models. The elements of the effective tree level supergravity action
relevant for this, such as the Kahler metric for the matter fields, the
superpotential of the visible sector and the gauge kinetic functions, are
specified by dimensional reduction and duality arguments. As phenomenological
applications we argue that gauge coupling unification can only occur in special
regions of the moduli space; we show that flavor changing neutral currents can
be suppressed sufficiently for a wide range of parameters, and we briefly
address the issues of CP violation, electric dipole moments and dark matter, as
well.
|
[
{
"created": "Tue, 16 Sep 2003 19:16:38 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Sep 2003 14:43:17 GMT",
"version": "v2"
},
{
"created": "Tue, 24 Feb 2004 14:53:52 GMT",
"version": "v3"
},
{
"created": "Tue, 10 Aug 2004 15:27:54 GMT",
"version": "v4"
}
] |
2010-11-19
|
[
[
"Kors",
"Boris",
"",
"MIT, LNS"
],
[
"Nath",
"Pran",
"",
"Northeastern U."
]
] |
We consider a generic scenario of spontaneous breaking of supersymmetry in the hidden sector within N=1 supersymmetric orientifold compactifications of type II string theories with D-branes that support semi-realistic chiral gauge theories. The soft breaking terms in the visible sector of the models are computed in a standard way without specifying the breaking mechanism, which leads to expressions that generalize those formerly known for heterotic or type I string models. The elements of the effective tree level supergravity action relevant for this, such as the Kahler metric for the matter fields, the superpotential of the visible sector and the gauge kinetic functions, are specified by dimensional reduction and duality arguments. As phenomenological applications we argue that gauge coupling unification can only occur in special regions of the moduli space; we show that flavor changing neutral currents can be suppressed sufficiently for a wide range of parameters, and we briefly address the issues of CP violation, electric dipole moments and dark matter, as well.
| 9.201564
| 9.811202
| 10.094106
| 8.96708
| 9.393129
| 9.573686
| 9.252902
| 9.823005
| 9.03805
| 10.49971
| 8.727431
| 8.871232
| 9.220201
| 8.978151
| 9.005532
| 8.989047
| 8.941165
| 9.077719
| 8.700209
| 9.437507
| 8.916195
|
hep-th/0312164
|
Assaf Shomer
|
Assaf Shomer
|
Comment on Counting Black Hole Microstates Using String Dualities
|
10 pages, harvmac. v(2) typo corrected
|
Phys.Rev.D70:026007,2004
|
10.1103/PhysRevD.70.026007
| null |
hep-th
| null |
We discuss a previous attempt at a microscopic counting of the entropy of
asymptotically flat non-extremal black-holes. This method used string dualities
to relate 4 and 5 dimensional black holes to the BTZ black hole. We show how
the dualities can be justified in a certain limit, equivalent to a near horizon
limit, but the resulting spacetime is no longer asymptotically flat.
|
[
{
"created": "Mon, 15 Dec 2003 15:13:30 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Feb 2004 10:51:18 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Shomer",
"Assaf",
""
]
] |
We discuss a previous attempt at a microscopic counting of the entropy of asymptotically flat non-extremal black-holes. This method used string dualities to relate 4 and 5 dimensional black holes to the BTZ black hole. We show how the dualities can be justified in a certain limit, equivalent to a near horizon limit, but the resulting spacetime is no longer asymptotically flat.
| 9.582262
| 8.023417
| 9.807352
| 7.920954
| 8.599861
| 8.647742
| 8.629742
| 8.340738
| 8.631832
| 9.246103
| 8.683877
| 8.256789
| 9.647479
| 8.642005
| 8.334904
| 8.408152
| 8.392759
| 8.410331
| 9.064053
| 9.692148
| 8.287819
|
hep-th/9805210
|
Dominique Mouhanna
|
B. Delamotte, D. Mouhanna, P. Lecheminant
|
The Wilson Renormalization Group Approach of the Principal Chiral Model
around Two Dimensions
|
4 pages
|
Phys.Rev. B59 (1999) 6006-6009
|
10.1103/PhysRevB.59.6006
|
PAR-LPTHE 98-26
|
hep-th cond-mat.stat-mech
| null |
We study the Principal Chiral Ginzburg-Landau-Wilson model around two
dimensions within the Local Potential Approximation of an Exact Renormalization
Group equation. This model, relevant for the long distance physics of classical
frustrated spin systems, exhibits a fixed point of the same universality class
that the corresponding Non-Linear Sigma model. This allows to shed light on the
long-standing discrepancy between the different perturbative approaches of
frustrated spin systems.
|
[
{
"created": "Fri, 29 May 1998 15:26:57 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Delamotte",
"B.",
""
],
[
"Mouhanna",
"D.",
""
],
[
"Lecheminant",
"P.",
""
]
] |
We study the Principal Chiral Ginzburg-Landau-Wilson model around two dimensions within the Local Potential Approximation of an Exact Renormalization Group equation. This model, relevant for the long distance physics of classical frustrated spin systems, exhibits a fixed point of the same universality class that the corresponding Non-Linear Sigma model. This allows to shed light on the long-standing discrepancy between the different perturbative approaches of frustrated spin systems.
| 13.463287
| 12.949132
| 12.860448
| 12.124313
| 12.791788
| 11.933293
| 12.181033
| 12.053127
| 12.061208
| 13.282621
| 12.628964
| 12.025384
| 12.922719
| 12.455
| 12.675306
| 12.787972
| 12.446406
| 12.39274
| 12.665006
| 13.139958
| 13.103556
|
0812.0188
|
Arsen Melikyan
|
A. Melikyan and A. Pinzul
|
On quantum integrability of the Landau-Lifshitz model
|
17 pages
|
J.Math.Phys.50:103518,2009
|
10.1063/1.3231789
| null |
hep-th cond-mat.str-el math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the quantum integrability of the Landau-Lifshitz model and
solve the long-standing problem of finding the local quantum Hamiltonian for
the arbitrary n-particle sector. The particular difficulty of the LL model
quantization, which arises due to the ill-defined operator product, is dealt
with by simultaneously regularizing the operator product, and constructing the
self-adjoint extensions of a very particular structure. The diagonalizibility
difficulties of the Hamiltonian of the LL model, due to the highly singular
nature of the quantum-mechanical Hamiltonian, are also resolved in our method
for the arbitrary n-particle sector. We explicitly demonstrate the consistency
of our construction with the quantum inverse scattering method due to Sklyanin,
and give a prescription to systematically construct the general solution, which
explains and generalizes the puzzling results of Sklyanin for the particular
two-particle sector case. Moreover, we demonstrate the S-matrix factorization
and show that it is a consequence of the discontinuity conditions on the
functions involved in the construction of the self-adjoint extensions.
|
[
{
"created": "Mon, 1 Dec 2008 20:12:56 GMT",
"version": "v1"
}
] |
2011-06-24
|
[
[
"Melikyan",
"A.",
""
],
[
"Pinzul",
"A.",
""
]
] |
We investigate the quantum integrability of the Landau-Lifshitz model and solve the long-standing problem of finding the local quantum Hamiltonian for the arbitrary n-particle sector. The particular difficulty of the LL model quantization, which arises due to the ill-defined operator product, is dealt with by simultaneously regularizing the operator product, and constructing the self-adjoint extensions of a very particular structure. The diagonalizibility difficulties of the Hamiltonian of the LL model, due to the highly singular nature of the quantum-mechanical Hamiltonian, are also resolved in our method for the arbitrary n-particle sector. We explicitly demonstrate the consistency of our construction with the quantum inverse scattering method due to Sklyanin, and give a prescription to systematically construct the general solution, which explains and generalizes the puzzling results of Sklyanin for the particular two-particle sector case. Moreover, we demonstrate the S-matrix factorization and show that it is a consequence of the discontinuity conditions on the functions involved in the construction of the self-adjoint extensions.
| 9.343448
| 9.769299
| 10.735156
| 9.234365
| 10.354599
| 10.261423
| 10.211214
| 9.314016
| 9.237012
| 10.747244
| 9.475253
| 9.444471
| 9.882073
| 9.338293
| 9.569905
| 9.221087
| 9.501425
| 9.276309
| 9.274615
| 9.898948
| 9.152429
|
1303.3580
|
Ola Malaeb
|
Ola Malaeb
|
Supersymmetrizing Massive Gravity
|
references added
| null |
10.1103/PhysRevD.88.025002
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
When four scalar fields with global Lorentz symmetry are coupled to gravity
and take a vacuum expectation value breaking diffeomorphism invariance
spontaneously, the graviton becomes massive. This model is supersymmetrized by
considering four N=1 chiral superfields with global Lorentz symmetry. When the
scalar components of the chiral multiplets z^A acquire a vacuum expectation
value, both diffeomorphism invariance and local supersymmetry are broken
spontaneously. The global Lorentz index A becomes identified with the
space-time Lorentz index making the scalar fields z^A vectors and the chiral
spinors psi^A spin-3/2 Rarita-Schwinger fields. The global supersymmetry is
promoted to a local one using the rules of tensor calculus of coupling the N=1
supergravity Lagrangian to the four chiral multiplets. We show that the
spectrum of the model in the broken phase consists of a massive spin-2 field,
two massive spin-3/2 fields with different mass and a massive vector.
|
[
{
"created": "Thu, 14 Mar 2013 09:56:46 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Apr 2013 07:10:15 GMT",
"version": "v2"
},
{
"created": "Thu, 25 Apr 2013 06:10:31 GMT",
"version": "v3"
}
] |
2013-08-09
|
[
[
"Malaeb",
"Ola",
""
]
] |
When four scalar fields with global Lorentz symmetry are coupled to gravity and take a vacuum expectation value breaking diffeomorphism invariance spontaneously, the graviton becomes massive. This model is supersymmetrized by considering four N=1 chiral superfields with global Lorentz symmetry. When the scalar components of the chiral multiplets z^A acquire a vacuum expectation value, both diffeomorphism invariance and local supersymmetry are broken spontaneously. The global Lorentz index A becomes identified with the space-time Lorentz index making the scalar fields z^A vectors and the chiral spinors psi^A spin-3/2 Rarita-Schwinger fields. The global supersymmetry is promoted to a local one using the rules of tensor calculus of coupling the N=1 supergravity Lagrangian to the four chiral multiplets. We show that the spectrum of the model in the broken phase consists of a massive spin-2 field, two massive spin-3/2 fields with different mass and a massive vector.
| 6.27236
| 6.065231
| 6.655916
| 5.998737
| 5.958527
| 6.307831
| 6.2097
| 6.253354
| 6.049546
| 7.37301
| 6.005368
| 5.820293
| 5.90976
| 5.679736
| 5.787243
| 5.804981
| 5.721525
| 5.959176
| 5.77989
| 5.806114
| 6.013058
|
2006.01188
|
Chao-Hsiang Sheu
|
Jin Chen, Chao-Hsiang Sheu, Mikhail Shifman, Gianni Tallarita and
Alexei Yung
|
Long Way to Ricci Flatness
|
31 pages, 8 figures
| null |
10.1007/JHEP10(2020)059
|
FTPI-MINN-20-16, UMN-TH-3918/20
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study two-dimensional weighted ${\mathcal N}=2$ supersymmetric
$\mathbb{CP}$ models with the goal of exploring their infrared (IR) limit.
$\mathbb{WCP}(N,\widetilde{N})$ are simplified versions of world-sheet theories
on non-Abelian strings in four-dimensional ${\mathcal N}=2$ QCD. In the gauged
linear sigma model (GLSM) formulation, $\mathbb{WCP} (N,\widetilde{N})$ has $N$
charges +1 and $\widetilde{N}$ charges $-1$ fields. As well-known, at
$\widetilde{N}=N$ this GLSM is conformal. Its target space is believed to be a
non-compact Calabi-Yau manifold. We mostly focus on the $N=2$ case, then the
Calabi-Yau space is a conifold.
On the other hand, in the non-linear sigma model (NLSM) formulation the model
has ultra-violet logarithms and does not look conformal. Moreover, its metric
is not Ricci-flat. We address this puzzle by studying the renormalization group
(RG) flow of the model. We show that the metric of NLSM becomes Ricci-flat in
the IR. Moreover, it tends to the known metric of the resolved conifold. We
also study a close relative of the $\mathbb{WCP}$ model -- the so called $zn$
model -- which in actuality represents the world sheet theory on a non-Abelian
semilocal string and show that this $zn$ model has similar RG properties.
|
[
{
"created": "Mon, 1 Jun 2020 18:26:15 GMT",
"version": "v1"
}
] |
2020-10-28
|
[
[
"Chen",
"Jin",
""
],
[
"Sheu",
"Chao-Hsiang",
""
],
[
"Shifman",
"Mikhail",
""
],
[
"Tallarita",
"Gianni",
""
],
[
"Yung",
"Alexei",
""
]
] |
We study two-dimensional weighted ${\mathcal N}=2$ supersymmetric $\mathbb{CP}$ models with the goal of exploring their infrared (IR) limit. $\mathbb{WCP}(N,\widetilde{N})$ are simplified versions of world-sheet theories on non-Abelian strings in four-dimensional ${\mathcal N}=2$ QCD. In the gauged linear sigma model (GLSM) formulation, $\mathbb{WCP} (N,\widetilde{N})$ has $N$ charges +1 and $\widetilde{N}$ charges $-1$ fields. As well-known, at $\widetilde{N}=N$ this GLSM is conformal. Its target space is believed to be a non-compact Calabi-Yau manifold. We mostly focus on the $N=2$ case, then the Calabi-Yau space is a conifold. On the other hand, in the non-linear sigma model (NLSM) formulation the model has ultra-violet logarithms and does not look conformal. Moreover, its metric is not Ricci-flat. We address this puzzle by studying the renormalization group (RG) flow of the model. We show that the metric of NLSM becomes Ricci-flat in the IR. Moreover, it tends to the known metric of the resolved conifold. We also study a close relative of the $\mathbb{WCP}$ model -- the so called $zn$ model -- which in actuality represents the world sheet theory on a non-Abelian semilocal string and show that this $zn$ model has similar RG properties.
| 5.771771
| 5.904183
| 6.32094
| 5.796361
| 5.786823
| 5.668888
| 6.004671
| 5.595705
| 5.550932
| 6.745901
| 5.686102
| 5.536695
| 5.839604
| 5.551826
| 5.600805
| 5.564553
| 5.665096
| 5.527019
| 5.564573
| 6.02184
| 5.666467
|
1004.3613
|
Shin'ichi Nojiri
|
Shin'ichi Nojiri and Sergei D. Odintsov
|
A proposal for covariant renormalizable field theory of gravity
|
LaTeX, 6 pages, published version, mistypes are corrected, refs. are
added
|
Phys.Lett.B691:60-64,2010
|
10.1016/j.physletb.2010.06.007
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The class of covariant gravity theories which have nice ultraviolet behavior
and seem to be (super)-renormalizable is proposed. The apparent breaking of
Lorentz invariance occurs due to the coupling with the effective fluid which is
induced by Lagrange multiplier constrained scalar field. Spatially-flat FRW
cosmology for such covariant field gravity may have accelerating solutions.
Renormalizable versions of more complicated modified gravity which depends on
Riemann and Ricci tensor squared may be constructed in the same way.
|
[
{
"created": "Wed, 21 Apr 2010 02:37:16 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Apr 2010 08:43:36 GMT",
"version": "v2"
},
{
"created": "Mon, 7 Jun 2010 12:02:27 GMT",
"version": "v3"
},
{
"created": "Thu, 10 Jun 2010 07:20:57 GMT",
"version": "v4"
}
] |
2014-11-20
|
[
[
"Nojiri",
"Shin'ichi",
""
],
[
"Odintsov",
"Sergei D.",
""
]
] |
The class of covariant gravity theories which have nice ultraviolet behavior and seem to be (super)-renormalizable is proposed. The apparent breaking of Lorentz invariance occurs due to the coupling with the effective fluid which is induced by Lagrange multiplier constrained scalar field. Spatially-flat FRW cosmology for such covariant field gravity may have accelerating solutions. Renormalizable versions of more complicated modified gravity which depends on Riemann and Ricci tensor squared may be constructed in the same way.
| 18.73802
| 16.469385
| 17.263792
| 15.798196
| 16.382336
| 15.167707
| 17.631786
| 15.627927
| 16.62532
| 16.628248
| 15.060246
| 16.846336
| 17.047293
| 17.217861
| 17.622368
| 16.364265
| 17.082346
| 16.725203
| 16.628962
| 17.062754
| 16.150621
|
1108.3842
|
Ashoke Sen
|
Ashoke Sen
|
Logarithmic Corrections to N=2 Black Hole Entropy: An Infrared Window
into the Microstates
|
LaTeX file, 66 pages
| null |
10.1007/s10714-012-1336-5
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Logarithmic corrections to the extremal black hole entropy can be computed
purely in terms of the low energy data -- the spectrum of massless fields and
their interaction. The demand of reproducing these corrections provides a
strong constraint on any microscopic theory of quantum gravity that attempts to
explain the black hole entropy. Using quantum entropy function formalism we
compute logarithmic corrections to the entropy of half BPS black holes in N=2
supersymmetric string theories. Our results allow us to test various proposals
for the measure in the OSV formula, and we find agreement with the measure
proposed by Denef and Moore if we assume their result to be valid at weak
topological string coupling. Our analysis also gives the logarithmic
corrections to the entropy of extremal Reissner-Nordstrom black holes in
ordinary Einstein-Maxwell theory.
|
[
{
"created": "Thu, 18 Aug 2011 20:00:31 GMT",
"version": "v1"
}
] |
2015-05-30
|
[
[
"Sen",
"Ashoke",
""
]
] |
Logarithmic corrections to the extremal black hole entropy can be computed purely in terms of the low energy data -- the spectrum of massless fields and their interaction. The demand of reproducing these corrections provides a strong constraint on any microscopic theory of quantum gravity that attempts to explain the black hole entropy. Using quantum entropy function formalism we compute logarithmic corrections to the entropy of half BPS black holes in N=2 supersymmetric string theories. Our results allow us to test various proposals for the measure in the OSV formula, and we find agreement with the measure proposed by Denef and Moore if we assume their result to be valid at weak topological string coupling. Our analysis also gives the logarithmic corrections to the entropy of extremal Reissner-Nordstrom black holes in ordinary Einstein-Maxwell theory.
| 7.003174
| 6.205297
| 7.373911
| 6.382411
| 6.604079
| 6.721765
| 6.845719
| 6.314965
| 6.488833
| 7.891036
| 6.61987
| 6.460972
| 6.514371
| 6.334635
| 6.310867
| 6.330496
| 6.370297
| 6.376397
| 6.490267
| 6.573934
| 6.437387
|
hep-th/9510044
| null |
Josep M. Pons (DECM, Universitat de Barcelona)
|
Plugging the Gauge Fixing into the Lagrangian
|
14 pages. Latex. To be published in Int. Journal of Modern Physics
|
Int.J.Mod.Phys. A11 (1996) 975-988
|
10.1142/S0217751X96000456
|
UB-ECM-PF 94/36
|
hep-th
| null |
A complete analysis of the consequences of introducing a set of holonomic
gauge fixing constraints (to fix the dynamics) into a singular Lagrangian is
performed. It is shown in general that the dynamical system originated from the
reduced Lagrangian erases all the information regarding the first class
constraints of the original theory, but retains its second class. It is proved
that even though the reduced Lagrangian can be singular, it never possesses any
gauge freedom. As an application, the example of $n \cdot A = 0$ gauges in
electromagnetism is treated in full detail.
|
[
{
"created": "Mon, 9 Oct 1995 13:36:00 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Pons",
"Josep M.",
"",
"DECM, Universitat de Barcelona"
]
] |
A complete analysis of the consequences of introducing a set of holonomic gauge fixing constraints (to fix the dynamics) into a singular Lagrangian is performed. It is shown in general that the dynamical system originated from the reduced Lagrangian erases all the information regarding the first class constraints of the original theory, but retains its second class. It is proved that even though the reduced Lagrangian can be singular, it never possesses any gauge freedom. As an application, the example of $n \cdot A = 0$ gauges in electromagnetism is treated in full detail.
| 10.839205
| 11.169408
| 10.564521
| 10.332564
| 10.743075
| 10.421987
| 12.029379
| 9.765496
| 10.314324
| 11.416388
| 10.510275
| 9.97338
| 10.878692
| 10.127635
| 10.163876
| 10.273416
| 10.08343
| 9.683724
| 10.345515
| 10.211411
| 10.210804
|
hep-th/0204042
|
Richard Battye
|
Brandon Carter, Richard A. Battye and Jean-Philippe Uzan
|
Gradient formula for linearly self-interacting branes
|
23 pages
|
Commun.Math.Phys. 235 (2003) 289-311
|
10.1007/s00220-003-0800-1
| null |
hep-th
| null |
The computation of long range linear self-interaction forces in string and
higher dimensional brane models requires the evaluation of the gradients of
regularised values of divergent self-interaction potentials. It is shown that
the appropriately regularised gradient in directions orthogonal to the brane
surface will always be obtainable simply by multiplying the regularised
potential components by just half the trace of the second fundamental tensor,
except in the hypermembrane case for which the method fails. Whatever the
dimension of the background this result is valid provided the codimension is
two (the hyperstring case) or more, so it can be used for investigating
brane-world scenarios with more than one extra space dimension.
|
[
{
"created": "Thu, 4 Apr 2002 13:11:25 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Carter",
"Brandon",
""
],
[
"Battye",
"Richard A.",
""
],
[
"Uzan",
"Jean-Philippe",
""
]
] |
The computation of long range linear self-interaction forces in string and higher dimensional brane models requires the evaluation of the gradients of regularised values of divergent self-interaction potentials. It is shown that the appropriately regularised gradient in directions orthogonal to the brane surface will always be obtainable simply by multiplying the regularised potential components by just half the trace of the second fundamental tensor, except in the hypermembrane case for which the method fails. Whatever the dimension of the background this result is valid provided the codimension is two (the hyperstring case) or more, so it can be used for investigating brane-world scenarios with more than one extra space dimension.
| 16.989077
| 18.123848
| 18.674782
| 17.773527
| 18.497225
| 18.225088
| 17.702444
| 16.30723
| 17.981964
| 18.618771
| 16.955883
| 16.343231
| 16.390486
| 16.174118
| 16.246653
| 16.077879
| 16.814419
| 15.854744
| 16.186102
| 16.649197
| 16.031702
|
1202.5757
|
Alexei Deriglazov A
|
A. A. Deriglazov, B. F. Rizzuti, G. P. Z. Chauca, P. S. Castro
|
Non-Grassmann mechanical model of the Dirac equation
|
Latex, 48 pages, published version
|
Journal of Mathematical Physics 53 (2012) 122303
|
10.1063/1.4759500
| null |
hep-th math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct a new example of the spinning-particle model without Grassmann
variables. The spin degrees of freedom are described on the base of an inner
anti-de Sitter space. This produces both $\Gamma^\mu$ and
$\Gamma^{\mu\nu}$\,-matrices in the course of quantization. Canonical
quantization of the model implies the Dirac equation. We present the detailed
analysis of both the Lagrangian and the Hamiltonian formulations of the model
and obtain the general solution to the classical equations of motion. Comparing
{\it Zitterbewegung} of the spatial coordinate with the evolution of spin, we
ask on the possibility of space-time interpretation for the inner space of
spin. We enumerate similarities between our analogous model of the Dirac
equation and the two-body system subject to confining potential which admits
only the elliptic orbits of the order of de Broglie wave-length. The Dirac
equation dictates the perpendicularity of the elliptic orbits to the direction
of center-of-mass motion.
|
[
{
"created": "Sun, 26 Feb 2012 13:39:37 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Aug 2012 16:21:01 GMT",
"version": "v2"
},
{
"created": "Thu, 20 Dec 2012 18:11:25 GMT",
"version": "v3"
}
] |
2012-12-21
|
[
[
"Deriglazov",
"A. A.",
""
],
[
"Rizzuti",
"B. F.",
""
],
[
"Chauca",
"G. P. Z.",
""
],
[
"Castro",
"P. S.",
""
]
] |
We construct a new example of the spinning-particle model without Grassmann variables. The spin degrees of freedom are described on the base of an inner anti-de Sitter space. This produces both $\Gamma^\mu$ and $\Gamma^{\mu\nu}$\,-matrices in the course of quantization. Canonical quantization of the model implies the Dirac equation. We present the detailed analysis of both the Lagrangian and the Hamiltonian formulations of the model and obtain the general solution to the classical equations of motion. Comparing {\it Zitterbewegung} of the spatial coordinate with the evolution of spin, we ask on the possibility of space-time interpretation for the inner space of spin. We enumerate similarities between our analogous model of the Dirac equation and the two-body system subject to confining potential which admits only the elliptic orbits of the order of de Broglie wave-length. The Dirac equation dictates the perpendicularity of the elliptic orbits to the direction of center-of-mass motion.
| 12.548526
| 13.031835
| 13.551879
| 12.361354
| 13.462504
| 13.874368
| 12.90533
| 13.787539
| 12.33637
| 14.203679
| 12.07763
| 12.413511
| 12.436304
| 12.329422
| 12.641387
| 12.277334
| 12.099621
| 12.115639
| 12.110954
| 12.811962
| 11.835297
|
1912.04264
|
Sakura Schafer-Nameki
|
Fabio Apruzzi, Sakura Schafer-Nameki, Yi-Nan Wang
|
5d SCFTs from Decoupling and Gluing
|
102 pages, 127 figures, v4: JHEP version
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We systematically analyse 5d superconformal field theories (SCFTs) obtained
by dimensional reduction from 6d $\mathcal{N}=(1,0)$ SCFTs. Such theories have
a realization as M-theory on a singular Calabi-Yau threefold, from which we
determine the so-called combined fiber diagrams (CFD) introduced in
arXiv:1906.11820, arXiv:1907.05404, arXiv:1909.09128. The CFDs are graphs that
encode the superconformal flavor symmetry, BPS states, low energy descriptions,
as well as descendants upon flavor matter decoupling. To obtain a 5d SCFT from
6d, there are two approaches: the first is to consider a circle-reduction
combined with mass deformations. The second is to circle-reduce and decouple an
entire gauge sector from the theory. The former is applicable e.g. for very
Higgsable theories, whereas the latter is required to obtain a 5d SCFT from a
non-very Higgsable 6d theory. In the M-theory realization the latter case
corresponds to decompactification of a set of compact surfaces in the
Calabi-Yau threefold. To exemplify this we consider the 5d SCFTs that descend
from non-Higgsable clusters and non-minimal conformal matter theories. Finally,
inspired by the quiver structure of 6d theories, we propose a gluing
construction for 5d SCFTs from building blocks and their CFDs.
|
[
{
"created": "Mon, 9 Dec 2019 18:57:21 GMT",
"version": "v1"
},
{
"created": "Sun, 5 Jan 2020 22:52:07 GMT",
"version": "v2"
},
{
"created": "Fri, 7 Feb 2020 17:46:11 GMT",
"version": "v3"
},
{
"created": "Thu, 6 Aug 2020 11:36:34 GMT",
"version": "v4"
}
] |
2020-08-07
|
[
[
"Apruzzi",
"Fabio",
""
],
[
"Schafer-Nameki",
"Sakura",
""
],
[
"Wang",
"Yi-Nan",
""
]
] |
We systematically analyse 5d superconformal field theories (SCFTs) obtained by dimensional reduction from 6d $\mathcal{N}=(1,0)$ SCFTs. Such theories have a realization as M-theory on a singular Calabi-Yau threefold, from which we determine the so-called combined fiber diagrams (CFD) introduced in arXiv:1906.11820, arXiv:1907.05404, arXiv:1909.09128. The CFDs are graphs that encode the superconformal flavor symmetry, BPS states, low energy descriptions, as well as descendants upon flavor matter decoupling. To obtain a 5d SCFT from 6d, there are two approaches: the first is to consider a circle-reduction combined with mass deformations. The second is to circle-reduce and decouple an entire gauge sector from the theory. The former is applicable e.g. for very Higgsable theories, whereas the latter is required to obtain a 5d SCFT from a non-very Higgsable 6d theory. In the M-theory realization the latter case corresponds to decompactification of a set of compact surfaces in the Calabi-Yau threefold. To exemplify this we consider the 5d SCFTs that descend from non-Higgsable clusters and non-minimal conformal matter theories. Finally, inspired by the quiver structure of 6d theories, we propose a gluing construction for 5d SCFTs from building blocks and their CFDs.
| 6.887808
| 6.254686
| 7.855972
| 6.124816
| 6.356562
| 6.269656
| 6.37363
| 6.019854
| 6.15545
| 8.565663
| 6.145649
| 6.236469
| 6.64781
| 6.358719
| 6.333343
| 6.339892
| 6.27955
| 6.23472
| 6.236684
| 6.728626
| 6.276726
|
hep-th/9711114
|
Louise Dolan
|
L. Dolan and M. Langham
|
Partition Functions, Duality, and the Tube Metric
|
24 pages, TEX
|
Nucl.Phys.B525:235-256,1998
|
10.1016/S0550-3213(98)00214-4
| null |
hep-th
| null |
The partition function of type IIA and B strings on R^6xK3, in the T^4/Z_2
orbifold limit, is explicitly computed as a modular invariant sum over spin
strutures required by perturbative unitarity in order to extend the analysis to
include type II strings on R^6 x W4, where W4 is associated with the tube
metric conformal field theory, given by the degrees of freedom transverse to
the Neveu-Schwarz fivebrane solution. This generates partition functions and
perturbative spectra of string theories in six space-time dimensions,
associated with the modular invariants of the level k affine SU(2) Kac-Moody
algebra. These theories provide a conformal field theory (i.e. perturbative)
probe of non-perturbative (fivebrane) vacua. We contrast them with theories
whose N=(4,4) sigma-model action contains n_H=k+2 hypermultiplets as well as
vector supermultiplets, and where k is the level just mentioned. In Appendix B
we also give a D=6, N=(1,1) `free fermion' string model which has a different
moduli space of vacua from the 81 parameter space relevant to the above
examples.
|
[
{
"created": "Sun, 16 Nov 1997 18:30:47 GMT",
"version": "v1"
}
] |
2010-11-15
|
[
[
"Dolan",
"L.",
""
],
[
"Langham",
"M.",
""
]
] |
The partition function of type IIA and B strings on R^6xK3, in the T^4/Z_2 orbifold limit, is explicitly computed as a modular invariant sum over spin strutures required by perturbative unitarity in order to extend the analysis to include type II strings on R^6 x W4, where W4 is associated with the tube metric conformal field theory, given by the degrees of freedom transverse to the Neveu-Schwarz fivebrane solution. This generates partition functions and perturbative spectra of string theories in six space-time dimensions, associated with the modular invariants of the level k affine SU(2) Kac-Moody algebra. These theories provide a conformal field theory (i.e. perturbative) probe of non-perturbative (fivebrane) vacua. We contrast them with theories whose N=(4,4) sigma-model action contains n_H=k+2 hypermultiplets as well as vector supermultiplets, and where k is the level just mentioned. In Appendix B we also give a D=6, N=(1,1) `free fermion' string model which has a different moduli space of vacua from the 81 parameter space relevant to the above examples.
| 14.430261
| 14.645241
| 16.665985
| 13.479398
| 14.793229
| 14.266994
| 14.633305
| 13.746695
| 13.751827
| 16.535389
| 14.588917
| 13.358133
| 14.150743
| 13.187327
| 13.375651
| 13.05215
| 12.898039
| 13.086513
| 13.13886
| 13.887618
| 13.187924
|
hep-th/0403017
|
Solange Odile Saliu
|
C. C. Ciobirca, E. M. Cioroianu, S. O. Saliu
|
Cohomological BRST aspects of the massless tensor field with the mixed
symmetry (k,k)
|
Latex, 50 pages, uses amssymb
|
Int.J.Mod.Phys. A19 (2004) 4579-4620
|
10.1142/S0217751X04018488
| null |
hep-th
| null |
The main BRST cohomological properties of a free, massless tensor field that
transforms in an irreducible representation of GL(D,R), corresponding to a
rectangular, two-column Young diagram with k>2 rows are studied in detail. In
particular, it is shown that any non-trivial co-cycle from the local BRST
cohomology group H(s|d) can be taken to stop either at antighost number (k+1)
or k, its last component belonging to the cohomology of the exterior
longitudinal derivative H(gamma) and containing non-trivial elements from the
(invariant) characteristic cohomology H^{inv}(delta|d).
|
[
{
"created": "Sun, 29 Feb 2004 19:21:59 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Ciobirca",
"C. C.",
""
],
[
"Cioroianu",
"E. M.",
""
],
[
"Saliu",
"S. O.",
""
]
] |
The main BRST cohomological properties of a free, massless tensor field that transforms in an irreducible representation of GL(D,R), corresponding to a rectangular, two-column Young diagram with k>2 rows are studied in detail. In particular, it is shown that any non-trivial co-cycle from the local BRST cohomology group H(s|d) can be taken to stop either at antighost number (k+1) or k, its last component belonging to the cohomology of the exterior longitudinal derivative H(gamma) and containing non-trivial elements from the (invariant) characteristic cohomology H^{inv}(delta|d).
| 13.425364
| 10.772672
| 15.955294
| 11.050526
| 10.873929
| 10.888586
| 11.821154
| 11.435855
| 11.155998
| 16.448826
| 11.177986
| 11.209957
| 12.734889
| 12.002439
| 12.406572
| 11.764066
| 11.563638
| 11.606869
| 11.664835
| 12.117695
| 11.540755
|
hep-th/9403036
| null |
Roberto Zucchini
|
The Drinfeld--Sokolov Holomorphic Bundle and Classical $W$ Algebras on
Riemann Surfaces
|
38 pages, one relevant reference has been added
|
J.Geom.Phys. 16 (1995) 237-274
|
10.1016/0393-0440(94)00028-3
|
DFUB--94 5
|
hep-th math.QA
| null |
Developing upon the ideas of ref. \ref{6}, it is shown how the theory of
classical $W$ algebras can be formulated on a higher genus Riemann surface in
the spirit of Krichever and Novikov. The basic geometric object is the
Drinfeld--Sokolov principal bundle $L$ associated to a simple complex Lie group
$G$ equipped with an $SL(2,\Bbb C)$ subgroup $S$, whose properties are studied
in detail. On a multipunctured Riemann surface, the
Drinfeld--Sokolov--Krichever--Novikov spaces are defined, as a generalization
of the customary Krichever--Novikov spaces, their properties are analyzed and
standard bases are written down. Finally, a WZWN chiral phase space based on
the principal bundle $L$ with a KM type Poisson structure is introduced and, by
the usual procedure of imposing first class constraints and gauge fixing, a
classical $W$ algebra is produced. The compatibility of the construction with
the global geometric data is highlighted.
|
[
{
"created": "Mon, 7 Mar 1994 08:03:00 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Mar 1994 20:25:00 GMT",
"version": "v2"
},
{
"created": "Thu, 17 Mar 1994 17:04:00 GMT",
"version": "v3"
}
] |
2009-10-28
|
[
[
"Zucchini",
"Roberto",
""
]
] |
Developing upon the ideas of ref. \ref{6}, it is shown how the theory of classical $W$ algebras can be formulated on a higher genus Riemann surface in the spirit of Krichever and Novikov. The basic geometric object is the Drinfeld--Sokolov principal bundle $L$ associated to a simple complex Lie group $G$ equipped with an $SL(2,\Bbb C)$ subgroup $S$, whose properties are studied in detail. On a multipunctured Riemann surface, the Drinfeld--Sokolov--Krichever--Novikov spaces are defined, as a generalization of the customary Krichever--Novikov spaces, their properties are analyzed and standard bases are written down. Finally, a WZWN chiral phase space based on the principal bundle $L$ with a KM type Poisson structure is introduced and, by the usual procedure of imposing first class constraints and gauge fixing, a classical $W$ algebra is produced. The compatibility of the construction with the global geometric data is highlighted.
| 8.828284
| 8.623425
| 9.926264
| 7.907184
| 8.796737
| 8.450941
| 8.451104
| 8.451084
| 7.839535
| 10.247541
| 8.342528
| 8.148984
| 8.654227
| 8.261024
| 7.877874
| 8.035638
| 7.933653
| 8.079754
| 8.140821
| 8.946268
| 8.236418
|
1611.07304
|
Andrei Mironov
|
H. Awata, H. Kanno, A. Mironov, A. Morozov, An. Morozov, Y. Ohkubo, Y.
Zenkevich
|
Anomaly in RTT relation for DIM algebra and network matrix models
|
21 pages
|
Nucl.Phys. B918 (2017) 358-385
|
10.1016/j.nuclphysb.2017.03.003
|
FIAN/TD-24/16; IITP/TH-18/16; ITEP/TH-26/16; INR-TH-2016-041
|
hep-th math-ph math.MP math.QA math.RT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss the recent proposal of arXiv:1608.05351 about generalization of
the RTT relation to network matrix models. We show that the RTT relation in
these models is modified by a nontrivial, but essentially abelian anomaly
cocycle, which we explicitly evaluate for the free field representations of the
quantum toroidal algebra. This cocycle is responsible for the braiding, which
permutes the external legs in the q-deformed conformal block and its 5d/6d
gauge theory counterpart, i.e. the non-perturbative Nekrasov functions. Thus,
it defines their modular properties and symmetry. We show how to cancel the
anomaly using a construction somewhat similar to the anomaly matching condition
in gauge theory. We also describe the singular limit to the affine Yangian (4d
Nekrasov functions), which breaks the spectral duality.
|
[
{
"created": "Tue, 22 Nov 2016 14:09:22 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Nov 2016 20:24:38 GMT",
"version": "v2"
},
{
"created": "Wed, 5 Apr 2017 02:25:26 GMT",
"version": "v3"
}
] |
2017-04-06
|
[
[
"Awata",
"H.",
""
],
[
"Kanno",
"H.",
""
],
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
],
[
"Morozov",
"An.",
""
],
[
"Ohkubo",
"Y.",
""
],
[
"Zenkevich",
"Y.",
""
]
] |
We discuss the recent proposal of arXiv:1608.05351 about generalization of the RTT relation to network matrix models. We show that the RTT relation in these models is modified by a nontrivial, but essentially abelian anomaly cocycle, which we explicitly evaluate for the free field representations of the quantum toroidal algebra. This cocycle is responsible for the braiding, which permutes the external legs in the q-deformed conformal block and its 5d/6d gauge theory counterpart, i.e. the non-perturbative Nekrasov functions. Thus, it defines their modular properties and symmetry. We show how to cancel the anomaly using a construction somewhat similar to the anomaly matching condition in gauge theory. We also describe the singular limit to the affine Yangian (4d Nekrasov functions), which breaks the spectral duality.
| 12.360853
| 12.559973
| 14.611836
| 12.339746
| 13.847579
| 15.355624
| 13.434121
| 12.716232
| 13.7189
| 16.976221
| 12.693221
| 12.127421
| 14.379019
| 12.341132
| 12.096756
| 12.22543
| 12.463266
| 12.382958
| 12.204419
| 13.839737
| 11.612698
|
hep-th/0208116
|
Hugo Reinhardt
|
H. Reinhardt
|
Topological charge of Center Vortices
|
Proceedings, Lattice 2002, 3p, latex
| null |
10.1016/S0920-5632(03)01638-4
| null |
hep-th
| null |
The topological charge of center vortices is discussed in terms of the
self-intersection number of the closed vortex surfaces in 4-dimensional
Euclidian space-time and in terms of the temporal changes of the writhing
number of the time-dependent vortex loops in 3-dimensional space.
|
[
{
"created": "Fri, 16 Aug 2002 15:59:46 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Reinhardt",
"H.",
""
]
] |
The topological charge of center vortices is discussed in terms of the self-intersection number of the closed vortex surfaces in 4-dimensional Euclidian space-time and in terms of the temporal changes of the writhing number of the time-dependent vortex loops in 3-dimensional space.
| 9.875179
| 7.889244
| 9.208242
| 7.886989
| 8.026073
| 8.322205
| 7.094599
| 8.224021
| 7.629119
| 9.088121
| 8.055488
| 7.820245
| 8.325105
| 8.470282
| 8.091469
| 8.247458
| 8.749223
| 8.33728
| 8.239552
| 8.923577
| 8.01024
|
0709.2856
|
Giuseppe Milanesi
|
Edi Gava, Kumar S. Narain, Giuseppe Milanesi, Martin O'Loughlin
|
Half BPS states in AdS_5 x Y^{p,q}
|
31 pages. Added references, enlarged discussions
|
JHEP 0802:050,2008
|
10.1088/1126-6708/2008/02/050
| null |
hep-th
| null |
We study a class of solutions of IIB Supergravity which are asymptotically
AdS_5 x Y^{p,q}. They have an R x SO(4) x SU(2) x U(1) isometry and preserve
half of the 8 supercharges of the background geometry. They are described by a
set of second order differential equations that we have found and analysed in a
previous paper, where we studied 1/8 BPS states in the maximally supersymmetric
AdS_5 x S^5 background. These geometries correspond to certain chiral primary
operators of the N=1 superconformal quiver theories, dual to IIB theory on
AdS_5 x Y^{p,q}.
We also show how to recover the AdS_5 x Y^{p,q} backgrounds by suitably
doubling the number of preserved supersymmetries. We then solve the
differential equations perturbatively in a large AdS_5 radius expansion,
imposing asymptotic AdS_5 x Y^{p,q} boundary conditions. We compute the global
baryonic and mesonic charges, including the R-charge. As for the computation of
the mass, i.e. the conformal dimension D of the dual field theory operators,
which is notoriously subtle in asymptotically AdS backgrounds, we adopt the
general formalism due to Wald and collaborators, which gives a finite result,
and verify the relation D=3 R / 2, demanded by the N=1 superconformal algebra.
|
[
{
"created": "Tue, 18 Sep 2007 15:52:22 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Nov 2007 09:15:43 GMT",
"version": "v2"
}
] |
2009-06-11
|
[
[
"Gava",
"Edi",
""
],
[
"Narain",
"Kumar S.",
""
],
[
"Milanesi",
"Giuseppe",
""
],
[
"O'Loughlin",
"Martin",
""
]
] |
We study a class of solutions of IIB Supergravity which are asymptotically AdS_5 x Y^{p,q}. They have an R x SO(4) x SU(2) x U(1) isometry and preserve half of the 8 supercharges of the background geometry. They are described by a set of second order differential equations that we have found and analysed in a previous paper, where we studied 1/8 BPS states in the maximally supersymmetric AdS_5 x S^5 background. These geometries correspond to certain chiral primary operators of the N=1 superconformal quiver theories, dual to IIB theory on AdS_5 x Y^{p,q}. We also show how to recover the AdS_5 x Y^{p,q} backgrounds by suitably doubling the number of preserved supersymmetries. We then solve the differential equations perturbatively in a large AdS_5 radius expansion, imposing asymptotic AdS_5 x Y^{p,q} boundary conditions. We compute the global baryonic and mesonic charges, including the R-charge. As for the computation of the mass, i.e. the conformal dimension D of the dual field theory operators, which is notoriously subtle in asymptotically AdS backgrounds, we adopt the general formalism due to Wald and collaborators, which gives a finite result, and verify the relation D=3 R / 2, demanded by the N=1 superconformal algebra.
| 6.257803
| 6.646336
| 6.929781
| 6.095546
| 6.351866
| 6.356715
| 6.264837
| 6.181711
| 6.271969
| 7.648025
| 5.872608
| 6.023357
| 6.392138
| 6.028149
| 6.198105
| 6.107444
| 6.179983
| 6.195525
| 6.023427
| 6.330967
| 6.010581
|
hep-th/0401010
|
Robert Brandenberger
|
T.J. Battefeld, S.P. Patil and R. Brandenberger (Brown University)
|
Perturbations in a Bouncing Brane Model
|
15 pages, minor modifications, a few typos corrected
|
Phys.Rev. D70 (2004) 066006
|
10.1103/PhysRevD.70.066006
| null |
hep-th astro-ph gr-qc hep-ph
| null |
The question of how perturbations evolve through a bounce in the Cyclic and
Ekpyrotic models of the Universe is still a matter of ongoing debate. In this
report we show that the collision between boundary branes is in most cases
singular even in the full 5-D formalism, and that first order perturbation
theory breaks down for at least one perturbation variable. Only in the case
that the boundary branes approach each other with constant velocity shortly
before the bounce, can a consistent, non singular solution be found. It is then
possible to follow the perturbations explicitly until the actual collision. In
this case, we find that if a scale invariant spectrum developed on the hidden
brane, it will get transferred to the visible brane during the bounce.
|
[
{
"created": "Sun, 4 Jan 2004 03:09:53 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Jan 2004 15:56:10 GMT",
"version": "v2"
},
{
"created": "Tue, 4 May 2004 16:27:15 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Battefeld",
"T. J.",
"",
"Brown University"
],
[
"Patil",
"S. P.",
"",
"Brown University"
],
[
"Brandenberger",
"R.",
"",
"Brown University"
]
] |
The question of how perturbations evolve through a bounce in the Cyclic and Ekpyrotic models of the Universe is still a matter of ongoing debate. In this report we show that the collision between boundary branes is in most cases singular even in the full 5-D formalism, and that first order perturbation theory breaks down for at least one perturbation variable. Only in the case that the boundary branes approach each other with constant velocity shortly before the bounce, can a consistent, non singular solution be found. It is then possible to follow the perturbations explicitly until the actual collision. In this case, we find that if a scale invariant spectrum developed on the hidden brane, it will get transferred to the visible brane during the bounce.
| 10.023005
| 10.008842
| 9.766532
| 9.437894
| 9.224232
| 9.883362
| 10.567234
| 9.697868
| 9.614364
| 10.857714
| 9.831803
| 9.475425
| 9.563792
| 9.466171
| 9.278847
| 9.253599
| 9.109607
| 9.182758
| 9.333471
| 9.523913
| 9.377393
|
2405.08876
|
Maxwell Hutt
|
Chris Hull, Maxwell L. Hutt, Ulf Lindstr\"om
|
Gauge-invariant magnetic charges in linearised gravity
|
47 pages. v2: minor revisions
| null | null | null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
Linearised gravity has magnetic charges carried by (linearised) Kaluza-Klein
monopoles. A gauge-invariant expression is found for these charges that is
similar to Penrose's gauge-invariant expression for the ADM charges. A
systematic search is made for other gauge-invariant charges.
|
[
{
"created": "Tue, 14 May 2024 18:00:04 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Aug 2024 15:39:18 GMT",
"version": "v2"
}
] |
2024-08-07
|
[
[
"Hull",
"Chris",
""
],
[
"Hutt",
"Maxwell L.",
""
],
[
"Lindström",
"Ulf",
""
]
] |
Linearised gravity has magnetic charges carried by (linearised) Kaluza-Klein monopoles. A gauge-invariant expression is found for these charges that is similar to Penrose's gauge-invariant expression for the ADM charges. A systematic search is made for other gauge-invariant charges.
| 14.703048
| 10.743836
| 13.324153
| 10.652781
| 11.552899
| 11.182833
| 12.621679
| 11.256051
| 10.762622
| 12.602483
| 10.777905
| 10.780077
| 11.772898
| 10.853542
| 11.360205
| 11.144038
| 10.799521
| 11.33429
| 11.589221
| 11.684424
| 11.124006
|
hep-th/0505073
|
Yolanda Lozano
|
Yolanda Lozano, Diego Rodriguez-Gomez
|
Fuzzy 5-spheres and pp-wave Matrix Actions
|
15 pages, references added
|
JHEP 0508 (2005) 044
|
10.1088/1126-6708/2005/08/044
|
FFUOV-05/02
|
hep-th
| null |
Using the action describing N coincident gravitational waves in M-theory we
construct a pp-wave Matrix model cointaning a fuzzy 5-sphere giant graviton
solution. This fuzzy 5-sphere is constructed as a U(1) fibration over a fuzzy
$CP^2$, and has the correct dependence of the radius with the light-cone
momentum, $r^4\sim p^+$, to approach the 5-sphere giant graviton solution of
Mc.Greevy et al in the large N limit.
|
[
{
"created": "Mon, 9 May 2005 15:42:18 GMT",
"version": "v1"
},
{
"created": "Mon, 16 May 2005 15:57:02 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Lozano",
"Yolanda",
""
],
[
"Rodriguez-Gomez",
"Diego",
""
]
] |
Using the action describing N coincident gravitational waves in M-theory we construct a pp-wave Matrix model cointaning a fuzzy 5-sphere giant graviton solution. This fuzzy 5-sphere is constructed as a U(1) fibration over a fuzzy $CP^2$, and has the correct dependence of the radius with the light-cone momentum, $r^4\sim p^+$, to approach the 5-sphere giant graviton solution of Mc.Greevy et al in the large N limit.
| 14.042218
| 10.890842
| 16.644363
| 12.519975
| 11.603001
| 11.468497
| 11.189634
| 10.747669
| 11.299753
| 16.741798
| 11.430743
| 11.583124
| 13.731581
| 11.371792
| 11.49334
| 11.231257
| 11.300383
| 12.168243
| 11.577467
| 13.297013
| 11.925725
|
hep-th/9308054
|
Erick J. Weinberg
|
Erick J. Weinberg
|
Monopole Vector Spherical Harmonics
|
21 pages, CU-TP-605
|
Phys.Rev. D49 (1994) 1086-1092
|
10.1103/PhysRevD.49.1086
| null |
hep-th
| null |
Eigenfunctions of total angular momentum for a charged vector field
interacting with a magnetic monopole are constructed and their properties
studied. In general, these eigenfunctions can be obtained by applying vector
operators to the monopole spherical harmonics in a manner similar to that often
used for the construction of the ordinary vector spherical harmonics. This
construction fails for the harmonics with the minimum allowed angular momentum.
These latter form a set of vector fields with vanishing covariant curl and
covariant divergence, whose number can be determined by an index theorem.
|
[
{
"created": "Wed, 11 Aug 1993 16:07:33 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Weinberg",
"Erick J.",
""
]
] |
Eigenfunctions of total angular momentum for a charged vector field interacting with a magnetic monopole are constructed and their properties studied. In general, these eigenfunctions can be obtained by applying vector operators to the monopole spherical harmonics in a manner similar to that often used for the construction of the ordinary vector spherical harmonics. This construction fails for the harmonics with the minimum allowed angular momentum. These latter form a set of vector fields with vanishing covariant curl and covariant divergence, whose number can be determined by an index theorem.
| 9.89535
| 10.738947
| 11.02858
| 9.292661
| 10.061326
| 10.258496
| 9.764248
| 9.852264
| 10.040009
| 10.777845
| 9.708746
| 9.619628
| 9.513048
| 9.545767
| 9.310336
| 9.296894
| 9.396982
| 9.659638
| 9.190974
| 9.635416
| 9.27963
|
hep-th/9709002
|
Martin Cederwall
|
M. Cederwall and P.K. Townsend
|
The Manifestly Sl(2;Z)-covariant Superstring
|
13 pages, plain tex. Two minor corrections. Reference added
|
JHEP 9709:003,1997
|
10.1088/1126-6708/1997/09/003
|
Goteborg-ITP-97-13, DAMTP-R/97/38
|
hep-th
| null |
We present a manifestly Sl(2;Z)-covariant action for the type IIB
superstring, and prove kappa-symmetry for on-shell IIB supergravity
backgrounds.
|
[
{
"created": "Sat, 30 Aug 1997 17:02:41 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Sep 1997 08:59:47 GMT",
"version": "v2"
},
{
"created": "Tue, 9 Sep 1997 08:37:44 GMT",
"version": "v3"
}
] |
2010-02-04
|
[
[
"Cederwall",
"M.",
""
],
[
"Townsend",
"P. K.",
""
]
] |
We present a manifestly Sl(2;Z)-covariant action for the type IIB superstring, and prove kappa-symmetry for on-shell IIB supergravity backgrounds.
| 12.923307
| 5.810123
| 15.604827
| 7.952293
| 7.051614
| 6.539091
| 6.435881
| 6.488503
| 6.989574
| 15.040314
| 6.990445
| 8.325944
| 13.13619
| 9.275288
| 8.814275
| 8.217355
| 8.649504
| 8.82848
| 8.902866
| 14.21716
| 8.853808
|
hep-th/9808158
|
Philippe Ruelle
|
D. Altschuler, P. Ruelle and E. Thiran
|
On parity functions in conformal field theories
|
18 pages, no figure, LaTeX2e
|
J.Phys.A32:3555-3570,1999
|
10.1088/0305-4470/32/19/307
|
UCL-IPT-98-13
|
hep-th
| null |
We examine general aspects of parity functions arising in rational conformal
field theories, as a result of Galois theoretic properties of modular
transformations. We focus more specifically on parity functions associated with
affine Lie algebras, for which we give two efficient formulas. We investigate
the consequences of these for the modular invariance problem.
|
[
{
"created": "Wed, 26 Aug 1998 12:13:28 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Altschuler",
"D.",
""
],
[
"Ruelle",
"P.",
""
],
[
"Thiran",
"E.",
""
]
] |
We examine general aspects of parity functions arising in rational conformal field theories, as a result of Galois theoretic properties of modular transformations. We focus more specifically on parity functions associated with affine Lie algebras, for which we give two efficient formulas. We investigate the consequences of these for the modular invariance problem.
| 16.397058
| 14.415689
| 17.124773
| 14.03631
| 13.886923
| 17.94635
| 13.701408
| 13.938035
| 14.174376
| 19.540031
| 14.513262
| 14.023059
| 15.675381
| 13.872532
| 14.213579
| 14.526688
| 14.128484
| 14.132988
| 13.825388
| 16.085218
| 14.515735
|
hep-th/9403187
|
David R. Morrison
|
Philip Candelas, Anamaria Font, Sheldon Katz and David R. Morrison
|
Mirror Symmetry for Two Parameter Models -- II
|
57 pages + 9 figures using epsf
|
Nucl.Phys.B429:626-674,1994
|
10.1016/0550-3213(94)90155-4
|
UTTG-25-93, IASSNS-HEP-94/12, OSU Math 1994-1
|
hep-th alg-geom math.AG
| null |
We describe in detail the space of the two K\"ahler parameters of the
Calabi--Yau manifold $\P_4^{(1,1,1,6,9)}[18]$ by exploiting mirror symmetry.
The large complex structure limit of the mirror, which corresponds to the
classical large radius limit, is found by studying the monodromy of the periods
about the discriminant locus, the boundary of the moduli space corresponding to
singular Calabi--Yau manifolds. A symplectic basis of periods is found and the
action of the $Sp(6,\Z)$ generators of the modular group is determined. From
the mirror map we compute the instanton expansion of the Yukawa couplings and
the generalized $N=2$ index, arriving at the numbers of instantons of genus
zero and genus one of each degree. We also investigate an $SL(2,\Z)$ symmetry
that acts on a boundary of the moduli space.
|
[
{
"created": "Wed, 30 Mar 1994 23:24:35 GMT",
"version": "v1"
}
] |
2010-11-01
|
[
[
"Candelas",
"Philip",
""
],
[
"Font",
"Anamaria",
""
],
[
"Katz",
"Sheldon",
""
],
[
"Morrison",
"David R.",
""
]
] |
We describe in detail the space of the two K\"ahler parameters of the Calabi--Yau manifold $\P_4^{(1,1,1,6,9)}[18]$ by exploiting mirror symmetry. The large complex structure limit of the mirror, which corresponds to the classical large radius limit, is found by studying the monodromy of the periods about the discriminant locus, the boundary of the moduli space corresponding to singular Calabi--Yau manifolds. A symplectic basis of periods is found and the action of the $Sp(6,\Z)$ generators of the modular group is determined. From the mirror map we compute the instanton expansion of the Yukawa couplings and the generalized $N=2$ index, arriving at the numbers of instantons of genus zero and genus one of each degree. We also investigate an $SL(2,\Z)$ symmetry that acts on a boundary of the moduli space.
| 6.812994
| 7.25763
| 8.645598
| 6.718945
| 6.862339
| 7.493249
| 7.149359
| 6.443285
| 6.97433
| 7.958852
| 6.413941
| 6.625424
| 7.038815
| 6.455981
| 6.377372
| 6.720726
| 6.558369
| 6.625604
| 6.563353
| 7.11785
| 6.346238
|
hep-th/0502040
|
Mikhail Plyushchay
|
Peter A. Horvathy, Mikhail S. Plyushchay
|
Nonrelativistic anyons in external electromagnetic field
|
19 pages, typos corrected; to appear in Nucl. Phys. B
|
Nucl.Phys. B714 (2005) 269-291
|
10.1016/j.nuclphysb.2005.02.027
| null |
hep-th math-ph math.MP quant-ph
| null |
The first-order, infinite-component field equations we proposed before for
non-relativistic anyons (identified with particles in the plane with
noncommuting coordinates) are generalized to accommodate arbitrary background
electromagnetic fields. Consistent coupling of the underlying classical system
to arbitrary fields is introduced; at a critical value of the magnetic field,
the particle follows a Hall-like law of motion. The corresponding quantized
system reveals a hidden nonlocality if the magnetic field is inhomogeneous. In
the quantum Landau problem spectral as well as state structure (finite vs.
infinite) asymmetry is found. The bound and scattering states, separated by the
critical magnetic field phase, behave as further, distinct phases.
|
[
{
"created": "Thu, 3 Feb 2005 12:36:07 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Feb 2005 20:55:36 GMT",
"version": "v2"
},
{
"created": "Wed, 23 Mar 2005 17:51:17 GMT",
"version": "v3"
}
] |
2009-11-11
|
[
[
"Horvathy",
"Peter A.",
""
],
[
"Plyushchay",
"Mikhail S.",
""
]
] |
The first-order, infinite-component field equations we proposed before for non-relativistic anyons (identified with particles in the plane with noncommuting coordinates) are generalized to accommodate arbitrary background electromagnetic fields. Consistent coupling of the underlying classical system to arbitrary fields is introduced; at a critical value of the magnetic field, the particle follows a Hall-like law of motion. The corresponding quantized system reveals a hidden nonlocality if the magnetic field is inhomogeneous. In the quantum Landau problem spectral as well as state structure (finite vs. infinite) asymmetry is found. The bound and scattering states, separated by the critical magnetic field phase, behave as further, distinct phases.
| 24.398693
| 22.657995
| 27.552385
| 22.144386
| 23.82469
| 22.062815
| 25.580835
| 22.259811
| 21.360405
| 29.01988
| 22.271709
| 23.538702
| 24.682789
| 24.114307
| 23.530548
| 23.74474
| 25.196085
| 24.369858
| 23.732306
| 26.051188
| 23.260073
|
2210.06991
|
Christian K\"ading
|
Christian K\"ading and Mario Pitschmann
|
Density matrix formalism for interacting quantum fields
|
21 pages, 7 figures, as published in Universe. arXiv admin note: text
overlap with arXiv:2204.08829
| null |
10.3390/universe8110601
| null |
hep-th hep-ph quant-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We provide a description of interacting quantum fields in terms of density
matrices for any occupation numbers in Fock space in a momentum basis. As a
simple example, we focus on a real scalar field interacting with another real
scalar field, and present a practicable formalism for directly computing the
density matrix elements of the combined scalar-scalar system. For deriving the
main formula, we use techniques from non-equilibrium quantum field theory like
thermo field dynamics and the Schwinger-Keldysh formalism. Our results allow
for studies of particle creation/annihilation processes at finite times and
other non-equilibrium processes including those found in the theory of open
quantum systems.
|
[
{
"created": "Thu, 13 Oct 2022 13:00:31 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Jun 2023 15:08:58 GMT",
"version": "v2"
}
] |
2023-06-09
|
[
[
"Käding",
"Christian",
""
],
[
"Pitschmann",
"Mario",
""
]
] |
We provide a description of interacting quantum fields in terms of density matrices for any occupation numbers in Fock space in a momentum basis. As a simple example, we focus on a real scalar field interacting with another real scalar field, and present a practicable formalism for directly computing the density matrix elements of the combined scalar-scalar system. For deriving the main formula, we use techniques from non-equilibrium quantum field theory like thermo field dynamics and the Schwinger-Keldysh formalism. Our results allow for studies of particle creation/annihilation processes at finite times and other non-equilibrium processes including those found in the theory of open quantum systems.
| 11.876053
| 11.104589
| 11.840989
| 11.54359
| 11.12746
| 11.401201
| 11.877118
| 11.347707
| 11.570916
| 12.238138
| 11.248179
| 11.238936
| 11.541089
| 11.457515
| 11.938278
| 11.270006
| 11.529861
| 11.40038
| 11.412992
| 11.606107
| 11.38642
|
2108.12743
|
Robert Brandenberger
|
Robert Brandenberger (McGill University)
|
Limitations of an Effective Field Theory Treatment of Early Universe
Cosmology
|
16 pages, 4 figures; invited review for the special issue "The future
of mathematical cosmology" of Philosophical Transactions A
| null |
10.1098/rsta.2021.0178
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Assuming that superstring theory is the fundamental theory which unifies all
forces of Nature at the quantum level, I argue that there are key limitations
on the applicability of effective field theory techniques in describing early
universe cosmology.
|
[
{
"created": "Sun, 29 Aug 2021 03:55:10 GMT",
"version": "v1"
}
] |
2022-08-03
|
[
[
"Brandenberger",
"Robert",
"",
"McGill University"
]
] |
Assuming that superstring theory is the fundamental theory which unifies all forces of Nature at the quantum level, I argue that there are key limitations on the applicability of effective field theory techniques in describing early universe cosmology.
| 11.409043
| 8.765767
| 9.589548
| 8.927914
| 8.460017
| 9.621753
| 8.841143
| 8.943315
| 8.889415
| 10.421631
| 8.784861
| 9.046304
| 10.499357
| 9.685772
| 9.331071
| 8.861554
| 8.746898
| 9.707002
| 9.639954
| 9.617035
| 9.185071
|
hep-th/0004061
|
Maxim Zabzine
|
Parviz Haggi-Mani, Ulf Lindstrom and Maxim Zabzine (Stockholm U.)
|
Boundary Conditions, Supersymmetry and A-field Coupling for an Open
String in a B-field Background
|
13 pages, Latex, references added
|
Phys.Lett. B483 (2000) 443-450
|
10.1016/S0370-2693(00)00600-6
|
USITP-00-03
|
hep-th
| null |
We discuss the non-linear sigma model representing a NSR open string in a
curved background with non-zero $B_{\mu\nu}$-field. With this coupling the
theory is not automatically supersymmetric, due to boundary contributions. When
B=0 supersymmetry is ensured by the conditions that follow as the boundary
contribution to the field equations. We show that inclusion of a particular
boundary term restores this state of affairs also in the presence of a
$B$-field. The boundary conditions derived from the field equations in this
case agree with those that have been proposed for constant $B$-field. A
coupling to a boundary $A_\mu$-field will modify both the boundary conditions
and affect the supersymmetry. It is shown that there is an $A$-coupling with
non-standard fermionic part that respects both the supersymmetry and the shift
symmetry (in the $B$ and $A$ fields), modulo the (modified) boundary
conditions.
|
[
{
"created": "Mon, 10 Apr 2000 13:55:42 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Apr 2000 12:18:03 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Haggi-Mani",
"Parviz",
"",
"Stockholm U."
],
[
"Lindstrom",
"Ulf",
"",
"Stockholm U."
],
[
"Zabzine",
"Maxim",
"",
"Stockholm U."
]
] |
We discuss the non-linear sigma model representing a NSR open string in a curved background with non-zero $B_{\mu\nu}$-field. With this coupling the theory is not automatically supersymmetric, due to boundary contributions. When B=0 supersymmetry is ensured by the conditions that follow as the boundary contribution to the field equations. We show that inclusion of a particular boundary term restores this state of affairs also in the presence of a $B$-field. The boundary conditions derived from the field equations in this case agree with those that have been proposed for constant $B$-field. A coupling to a boundary $A_\mu$-field will modify both the boundary conditions and affect the supersymmetry. It is shown that there is an $A$-coupling with non-standard fermionic part that respects both the supersymmetry and the shift symmetry (in the $B$ and $A$ fields), modulo the (modified) boundary conditions.
| 10.384501
| 10.62966
| 11.039886
| 9.735533
| 11.190426
| 10.79013
| 11.056888
| 10.480537
| 10.033849
| 11.635106
| 10.208057
| 10.422888
| 10.61235
| 10.314067
| 10.076821
| 10.084229
| 10.338305
| 9.729259
| 10.377009
| 10.916644
| 9.936337
|
2303.02864
|
Lina Wu
|
Adeel Mansha and Tianjun Li and Lina Wu
|
The hidden sector variations in the ${\cal N}=1$ supersymmetric
three-family Pati-Salam models from intersecting D6-branes
|
25+4 pages, 6 figures and 15 tables; added machine learning details;
published version. arXiv admin note: text overlap with arXiv:2212.09644
|
Eur. Phys. J. C 83, 1067 (2023)
|
10.1140/epjc/s10052-023-12167-6
| null |
hep-th hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
It is well-known that three-family supersymmetric Pati-Salam models from
intersecting D6-branes, where either one or both of the ${\rm U}(2)$ gauge
factors are replaced by a ${\rm USp}(2)$ group, are quite scarce. In order to
construct all such kind of models with generic additional gauge symmetries, we
fix the observable sectors and study all the possible hidden sectors. Thus, we
are able to completely determine all types of such kind of the inequivalent
models on a $\mathbb{T}^6/(\mathbb{Z}_2\times \mathbb{Z}_2)$ orientifold from
IIA string theory. We find the gauge coupling relations to be highly sensitive
to the variations in the hidden sector. One of the models exhibits the gauge
coupling unification for a particular solution at the string scale. In
addition, we perform scan on the hidden sector variations for the models
presented in arXiv:2112.09632, whose gauge coupling relations are still
preserved. Thus, we fix the gap in the previous study and complete the model
building for all the inequivalent models.
|
[
{
"created": "Mon, 6 Mar 2023 03:31:59 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Nov 2023 02:59:31 GMT",
"version": "v2"
}
] |
2023-11-23
|
[
[
"Mansha",
"Adeel",
""
],
[
"Li",
"Tianjun",
""
],
[
"Wu",
"Lina",
""
]
] |
It is well-known that three-family supersymmetric Pati-Salam models from intersecting D6-branes, where either one or both of the ${\rm U}(2)$ gauge factors are replaced by a ${\rm USp}(2)$ group, are quite scarce. In order to construct all such kind of models with generic additional gauge symmetries, we fix the observable sectors and study all the possible hidden sectors. Thus, we are able to completely determine all types of such kind of the inequivalent models on a $\mathbb{T}^6/(\mathbb{Z}_2\times \mathbb{Z}_2)$ orientifold from IIA string theory. We find the gauge coupling relations to be highly sensitive to the variations in the hidden sector. One of the models exhibits the gauge coupling unification for a particular solution at the string scale. In addition, we perform scan on the hidden sector variations for the models presented in arXiv:2112.09632, whose gauge coupling relations are still preserved. Thus, we fix the gap in the previous study and complete the model building for all the inequivalent models.
| 9.573021
| 8.585535
| 9.948816
| 8.637825
| 8.953521
| 8.242013
| 8.623238
| 8.609739
| 8.716632
| 9.890222
| 8.297506
| 8.394821
| 8.962368
| 8.94346
| 8.760216
| 8.973378
| 8.6852
| 8.961278
| 8.812171
| 9.233543
| 8.815578
|
1012.3748
|
Jean-Luc Lehners
|
Justin Khoury, Jean-Luc Lehners and Burt Ovrut
|
Supersymmetric P(X,phi) and the Ghost Condensate
|
26 pages, v3: replaced with version to be published
| null |
10.1103/PhysRevD.83.125031
| null |
hep-th astro-ph.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show how to construct supersymmetric actions for higher-derivative scalar
field theories of the form P(X,phi), within the context of d=4, N=1
supersymmetry. This construction is of general use, and is applied to write
supersymmetric versions of the Dirac-Born-Infeld action. Our principal
application of this formalism is to construct the supersymmetric extension of
the ghost condensate. This allows us to study the interplay between
supersymmetry, time-dependent backgrounds and violations of the null energy
condition.
|
[
{
"created": "Thu, 16 Dec 2010 21:00:01 GMT",
"version": "v1"
},
{
"created": "Mon, 31 Jan 2011 09:42:10 GMT",
"version": "v2"
},
{
"created": "Wed, 1 Jun 2011 09:38:15 GMT",
"version": "v3"
}
] |
2015-05-20
|
[
[
"Khoury",
"Justin",
""
],
[
"Lehners",
"Jean-Luc",
""
],
[
"Ovrut",
"Burt",
""
]
] |
We show how to construct supersymmetric actions for higher-derivative scalar field theories of the form P(X,phi), within the context of d=4, N=1 supersymmetry. This construction is of general use, and is applied to write supersymmetric versions of the Dirac-Born-Infeld action. Our principal application of this formalism is to construct the supersymmetric extension of the ghost condensate. This allows us to study the interplay between supersymmetry, time-dependent backgrounds and violations of the null energy condition.
| 6.79653
| 6.247932
| 6.487198
| 6.235431
| 6.756224
| 6.309777
| 6.024018
| 6.769193
| 6.421616
| 7.677448
| 6.269607
| 6.004163
| 6.468109
| 6.405954
| 6.668076
| 6.521087
| 6.216254
| 6.661429
| 6.274381
| 6.746742
| 6.255096
|
0803.1470
|
Steven Gubser
|
Steven S. Gubser, Daniel R. Gulotta, Silviu S. Pufu, and Fabio D.
Rocha
|
Gluon energy loss in the gauge-string duality
|
33 pages, 8 figures. v2: minor improvements
|
JHEP0810:052,2008
|
10.1088/1126-6708/2008/10/052
|
PUPT-2259
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We estimate the stopping length of an energetic gluon in a thermal plasma of
strongly coupled N=4 super-Yang-Mills theory by representing the gluon as a
doubled string rising up out of the horizon.
|
[
{
"created": "Mon, 10 Mar 2008 19:40:43 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Sep 2008 20:03:12 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Gubser",
"Steven S.",
""
],
[
"Gulotta",
"Daniel R.",
""
],
[
"Pufu",
"Silviu S.",
""
],
[
"Rocha",
"Fabio D.",
""
]
] |
We estimate the stopping length of an energetic gluon in a thermal plasma of strongly coupled N=4 super-Yang-Mills theory by representing the gluon as a doubled string rising up out of the horizon.
| 16.683456
| 12.845558
| 12.125597
| 11.190828
| 12.853192
| 13.38693
| 12.435504
| 14.5568
| 10.105604
| 14.712161
| 11.837534
| 11.886962
| 12.478168
| 11.173809
| 12.314554
| 12.235801
| 11.454883
| 12.610102
| 10.976461
| 11.552265
| 12.301724
|
2207.10429
|
Omer Faruk Dayi
|
\"O.F. Dayi and S.E. G\"urleyen
|
Nonrelativistic Transport Theory from Vorticity Dependent Quantum
Kinetic Equation
|
15 pages. A ref canceled. A ref and some comments added
|
Phys. Rev. D 106 (2022) 045030
|
10.1103/PhysRevD.106.045030
| null |
hep-th hep-ph
|
http://creativecommons.org/publicdomain/zero/1.0/
|
We study the three-dimensional transport theory of massive spin-1/2 fermions
resulting from the vorticity dependent quantum kinetic equation. This quantum
kinetic equation has been introduced to take account of noninertial properties
of rotating coordinate frames. We show that it is the appropriate relativistic
kinetic equation which provides the vorticity dependent semiclassical transport
equations of the three-dimensional Wigner function components. We establish the
semiclassical kinetic equations of a linearly independent set of components. By
means of them, kinetic equations of the chiral scalar distribution functions
are derived. They furnish the 3D kinetic theory which permits us to study the
vector and axial vector current densities by focusing on the mass corrections
to the chiral vortical and separation effects.
|
[
{
"created": "Thu, 21 Jul 2022 11:59:13 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Sep 2022 08:01:18 GMT",
"version": "v2"
}
] |
2022-09-02
|
[
[
"Dayi",
"Ö. F.",
""
],
[
"Gürleyen",
"S. E.",
""
]
] |
We study the three-dimensional transport theory of massive spin-1/2 fermions resulting from the vorticity dependent quantum kinetic equation. This quantum kinetic equation has been introduced to take account of noninertial properties of rotating coordinate frames. We show that it is the appropriate relativistic kinetic equation which provides the vorticity dependent semiclassical transport equations of the three-dimensional Wigner function components. We establish the semiclassical kinetic equations of a linearly independent set of components. By means of them, kinetic equations of the chiral scalar distribution functions are derived. They furnish the 3D kinetic theory which permits us to study the vector and axial vector current densities by focusing on the mass corrections to the chiral vortical and separation effects.
| 13.717105
| 13.837113
| 13.402368
| 13.608747
| 14.176529
| 15.081543
| 15.279619
| 14.158137
| 13.518759
| 14.449765
| 14.066056
| 14.873809
| 13.414867
| 13.269404
| 13.958384
| 13.734014
| 14.090346
| 13.66501
| 13.17084
| 12.945468
| 13.837635
|
1507.02936
|
Volker Schomerus
|
Arthur Lipstein and Volker Schomerus
|
Towards a Worldsheet Description of N=8 Supergravity
|
6 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note we address the worldsheet description of 4-dimensional N=8
supergravity using ambitwistors. After gauging an appropriate current algebra,
we argue that the only physical vertex operators correspond to the N=8
supermultiplet. It has previously been shown that worldsheet correlators give
rise to supergravity tree level scattering amplitudes. We extend this work by
proposing a definition for genus-one amplitudes that passes several consistency
checks such as exhibiting modular invariance and reproducing the expected
infrared behavior of 1-loop supergravity amplitudes.
|
[
{
"created": "Fri, 10 Jul 2015 15:26:37 GMT",
"version": "v1"
}
] |
2015-07-13
|
[
[
"Lipstein",
"Arthur",
""
],
[
"Schomerus",
"Volker",
""
]
] |
In this note we address the worldsheet description of 4-dimensional N=8 supergravity using ambitwistors. After gauging an appropriate current algebra, we argue that the only physical vertex operators correspond to the N=8 supermultiplet. It has previously been shown that worldsheet correlators give rise to supergravity tree level scattering amplitudes. We extend this work by proposing a definition for genus-one amplitudes that passes several consistency checks such as exhibiting modular invariance and reproducing the expected infrared behavior of 1-loop supergravity amplitudes.
| 9.376547
| 8.466719
| 11.069429
| 8.571982
| 8.410479
| 8.379492
| 8.148972
| 8.914892
| 8.373445
| 10.12327
| 7.950934
| 9.09729
| 9.059335
| 8.940773
| 8.864703
| 9.0779
| 8.903509
| 8.912818
| 9.176738
| 9.034906
| 8.674186
|
2405.13117
|
Michael Zantedeschi
|
Gia Dvali, Juan Sebasti\'an Valbuena-Berm\'udez, Michael Zantedeschi
|
Memory Burden Effect in Black Holes and Solitons: Implications for PBH
|
30 pages, 6 figures, video summary at https://youtu.be/boDpRXJnT5E
| null | null | null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
The essence of the \textit{memory burden} effect is that a load of
information carried by a system stabilizes it. This universal effect is
especially prominent in systems with a high capacity of information storage,
such as black holes and other objects with maximal microstate degeneracy, the
entities universally referred to as \textit{saturons}. The phenomenon has
several implications. The memory burden effect suppresses a further decay of a
black hole, the latest, after it has emitted about half of its initial mass. As
a consequence, the light primordial black holes (PBHs), that previously were
assumed to be fully evaporated, are expected to be present as viable dark
matter candidates. In the present paper, we deepen the understanding of the
memory burden effect. We first identify various memory burden regimes in
generic Hamiltonian systems and then establish a precise correspondence in
solitons and in black holes. We make transparent, at a microscopic level, the
fundamental differences between the stabilization by a quantum memory burden
versus the stabilization by a long-range classical hair due to a spin or an
electric charge. We identify certain new features of potential observational
interest, such as the model-independent spread of the stabilized masses of
initially degenerate PBHs.
|
[
{
"created": "Tue, 21 May 2024 18:00:02 GMT",
"version": "v1"
}
] |
2024-06-03
|
[
[
"Dvali",
"Gia",
""
],
[
"Valbuena-Bermúdez",
"Juan Sebastián",
""
],
[
"Zantedeschi",
"Michael",
""
]
] |
The essence of the \textit{memory burden} effect is that a load of information carried by a system stabilizes it. This universal effect is especially prominent in systems with a high capacity of information storage, such as black holes and other objects with maximal microstate degeneracy, the entities universally referred to as \textit{saturons}. The phenomenon has several implications. The memory burden effect suppresses a further decay of a black hole, the latest, after it has emitted about half of its initial mass. As a consequence, the light primordial black holes (PBHs), that previously were assumed to be fully evaporated, are expected to be present as viable dark matter candidates. In the present paper, we deepen the understanding of the memory burden effect. We first identify various memory burden regimes in generic Hamiltonian systems and then establish a precise correspondence in solitons and in black holes. We make transparent, at a microscopic level, the fundamental differences between the stabilization by a quantum memory burden versus the stabilization by a long-range classical hair due to a spin or an electric charge. We identify certain new features of potential observational interest, such as the model-independent spread of the stabilized masses of initially degenerate PBHs.
| 15.580332
| 15.648925
| 14.204425
| 14.307543
| 14.36861
| 15.896215
| 15.814472
| 15.205058
| 14.67063
| 16.361677
| 14.643003
| 14.998178
| 14.803267
| 14.178831
| 13.950066
| 14.772064
| 14.36547
| 14.269209
| 14.7707
| 15.151533
| 14.803354
|
hep-th/0512146
|
Toni Ramirez
|
Kiyoshi Kamimura and Toni Ramirez
|
Brane Dualities in Non-relativistic Limit
|
21 pages, 1 figure
|
JHEP0603:058,2006
|
10.1088/1126-6708/2006/03/058
| null |
hep-th
| null |
We analyze brane dualities in the non-relativistic limit of the worldvolume
actions. In particular we have analyzed how the non-relativistic M2-brane is
related via these dualities to non-relativistic D2-brane, non-relativistic IIA
fundamental string and also, by using T-duality, to non-relativistic D1-string.
These actions coincide with ones obtained from relativistic actions by taking
non-relativistic limit, showing that the non-relativistic limit and the
dualities commute in these cases.
|
[
{
"created": "Tue, 13 Dec 2005 19:07:30 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Kamimura",
"Kiyoshi",
""
],
[
"Ramirez",
"Toni",
""
]
] |
We analyze brane dualities in the non-relativistic limit of the worldvolume actions. In particular we have analyzed how the non-relativistic M2-brane is related via these dualities to non-relativistic D2-brane, non-relativistic IIA fundamental string and also, by using T-duality, to non-relativistic D1-string. These actions coincide with ones obtained from relativistic actions by taking non-relativistic limit, showing that the non-relativistic limit and the dualities commute in these cases.
| 7.056655
| 6.294936
| 7.022695
| 6.329032
| 6.889467
| 5.983352
| 6.332317
| 5.771563
| 6.186676
| 7.133586
| 6.145165
| 6.213655
| 7.129046
| 6.25117
| 6.452205
| 6.504302
| 6.310866
| 6.341553
| 6.43809
| 6.890083
| 6.222941
|
0711.3228
|
Filipe Moura
|
Filipe Moura
|
One loop superstring effective actions and d=4 supergravity
|
1+7 pages. Work presented at the XVI International Fall Workshop on
Geometry and Physics, Lisbon, Portugal, September 2007
|
AIPConf.Proc.1023:192-196,2008
|
10.1063/1.2958174
| null |
hep-th
| null |
We review our recent work on the existence of a new independent R^4 term, at
one loop, in the type IIA and heterotic effective actions, after reduction to
four dimensions, besides the usual square of the Bel-Robinson tensor. We
discuss its supersymmetrization.
|
[
{
"created": "Wed, 21 Nov 2007 15:36:27 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Moura",
"Filipe",
""
]
] |
We review our recent work on the existence of a new independent R^4 term, at one loop, in the type IIA and heterotic effective actions, after reduction to four dimensions, besides the usual square of the Bel-Robinson tensor. We discuss its supersymmetrization.
| 13.750093
| 7.317016
| 11.370849
| 8.654328
| 8.235906
| 9.088686
| 8.434755
| 7.941738
| 8.735529
| 13.05098
| 8.641641
| 9.738207
| 10.613384
| 9.844812
| 9.84155
| 9.891175
| 9.311296
| 9.636024
| 10.040061
| 10.615446
| 10.018722
|
1102.4154
|
Sang Pyo Kim
|
Sang Pyo Kim (Kunsan Nat'l Univ. and Nat'l Taiwan Univ.)
|
Probing the Vacuum Structure of Spacetime
|
LaTex 13 pages, no figure; contributed to the 2nd Galileo-Xu Guangqi
Meeting, Italy, July 12-17, 2010
| null |
10.1142/S2010194512006514
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explore the question of how to probe the vacuum structure of space time by
a massive scalar field through interaction with background gravitons. Using the
$\Gamma$-regularization for the in-/out-state formalism, we find the effective
action of a scalar field in a conformally, asymptotically flat spacetime and a
four-dimensional de Sitter space, which is a gravitational analog of the
Heisenberg-Euler and Schwinger effective action for a charged scalar in a
constant electric field. The effective action is nonperturbative in that it
sums all one-loop diagrams with arbitrary number of external lines of
gravitons. The massive scalar field becomes unstable due to particle
production, the effective action has an imaginary part that determines the
decay rate of the vacuum, and the out-vacuum is unitarily inequivalent to the
in-vacuum.
|
[
{
"created": "Mon, 21 Feb 2011 08:13:55 GMT",
"version": "v1"
}
] |
2015-05-27
|
[
[
"Kim",
"Sang Pyo",
"",
"Kunsan Nat'l Univ. and Nat'l Taiwan Univ."
]
] |
We explore the question of how to probe the vacuum structure of space time by a massive scalar field through interaction with background gravitons. Using the $\Gamma$-regularization for the in-/out-state formalism, we find the effective action of a scalar field in a conformally, asymptotically flat spacetime and a four-dimensional de Sitter space, which is a gravitational analog of the Heisenberg-Euler and Schwinger effective action for a charged scalar in a constant electric field. The effective action is nonperturbative in that it sums all one-loop diagrams with arbitrary number of external lines of gravitons. The massive scalar field becomes unstable due to particle production, the effective action has an imaginary part that determines the decay rate of the vacuum, and the out-vacuum is unitarily inequivalent to the in-vacuum.
| 8.280456
| 7.538334
| 8.436827
| 8.041951
| 8.248449
| 7.600619
| 7.877949
| 7.634913
| 7.709677
| 9.130255
| 7.430999
| 7.791129
| 8.057113
| 7.701471
| 8.033146
| 7.894213
| 7.657787
| 7.743862
| 7.766992
| 8.337956
| 7.54602
|
0907.1651
|
Dan Xie
|
Dimitri Nanopoulos, Dan Xie
|
N=2 SU Quiver with USP Ends or SU Ends with Antisymmetric Matter
|
Minor changes are made; refrences are added; 21 pages, 18 figures
|
JHEP 0908:108,2009
|
10.1088/1126-6708/2009/08/108
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the four dimensional scale invariant N=2 SU quiver gauge theories
with USp(2N) ends or SU(2N) ends with antisymmetric matter representations. We
argue that these theories are realized as six dimensional A_{2N-1} (0,2)
theories compactified on spheres with punctures. With this realization, we can
study various strongly coupled cusps in moduli space and find the S-dual
theories. We find a class of isolated superconformal field theories with only
odd dimensional operators $D(\phi)\geq3$ and superconformal field theories with
only even dimensional operators $D(\phi)\geq4$.
|
[
{
"created": "Thu, 9 Jul 2009 20:49:12 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Aug 2009 00:45:41 GMT",
"version": "v2"
}
] |
2009-09-28
|
[
[
"Nanopoulos",
"Dimitri",
""
],
[
"Xie",
"Dan",
""
]
] |
We consider the four dimensional scale invariant N=2 SU quiver gauge theories with USp(2N) ends or SU(2N) ends with antisymmetric matter representations. We argue that these theories are realized as six dimensional A_{2N-1} (0,2) theories compactified on spheres with punctures. With this realization, we can study various strongly coupled cusps in moduli space and find the S-dual theories. We find a class of isolated superconformal field theories with only odd dimensional operators $D(\phi)\geq3$ and superconformal field theories with only even dimensional operators $D(\phi)\geq4$.
| 10.586116
| 10.746582
| 13.593234
| 9.525383
| 9.450048
| 9.34619
| 10.065665
| 10.174221
| 9.031764
| 12.859666
| 9.395976
| 9.388951
| 10.921577
| 9.719198
| 9.830446
| 9.709175
| 9.545835
| 9.732705
| 9.847174
| 11.619477
| 9.750715
|
hep-th/0005175
|
Koh-ichi Nittoh
|
Koh-ichi Nittoh
|
A Note on the Quadratic Divergence in Hybrid Regularization
|
10 pages, latex 2e, will be published in Mod. Phys. Lett. A
|
Mod.Phys.Lett. A15 (2000) 955-964
|
10.1142/S0217732300000967
|
CHIBA-EP-118
|
hep-th
| null |
We consider the quadratic divergence of the Yang-Mills theory when we use the
hybrid regularization method consisting of the higher covariant derivative
terms and the Pauli-Villars fields. By the explicit calculation of the
diagrams, we show that the higher derivative terms for the ghost fields are
necessary for the complete cancellation of the quadratic divergence.
|
[
{
"created": "Fri, 19 May 2000 03:57:05 GMT",
"version": "v1"
}
] |
2016-12-21
|
[
[
"Nittoh",
"Koh-ichi",
""
]
] |
We consider the quadratic divergence of the Yang-Mills theory when we use the hybrid regularization method consisting of the higher covariant derivative terms and the Pauli-Villars fields. By the explicit calculation of the diagrams, we show that the higher derivative terms for the ghost fields are necessary for the complete cancellation of the quadratic divergence.
| 7.67368
| 6.302065
| 6.800571
| 7.067863
| 6.387902
| 6.66047
| 6.172116
| 5.901244
| 6.560203
| 7.644082
| 6.30337
| 6.526781
| 6.988464
| 6.34683
| 6.544769
| 6.71826
| 6.518904
| 6.892731
| 6.749691
| 6.943402
| 6.381382
|
hep-th/9412142
|
Ladislav Hlavaty
|
L.Hlavaty
|
Algebraic Framework for Quantization of Nonultralocal Models
|
18 pages, Latex, one formula plus two citations added, several
misprints were corrected
|
J.Math.Phys. 36 (1995) 4882-4897
|
10.1063/1.530926
|
FJFI-KF-94/15
|
hep-th math.QA q-alg
| null |
Extension of the braid relations to the multiple braided tensor product of
algebras that can be used for quantization of nonultralocal models is
presented. The Yang--Baxter--type consistency conditions as well as conditions
for the existence of the multiple coproduct (monodromy matrix), which can be
used for construction of the commuting subalgebra, are given. Homogeneous and
local algebras are introduced, and simplification of the Yang--Baxter--type
conditions for them is shown. The Yang--Baxter--type equations and multiple
coproduct conditions for homogeneous and local of order 2 algebras are solved.
|
[
{
"created": "Fri, 16 Dec 1994 20:00:05 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Jan 1995 21:03:35 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Hlavaty",
"L.",
""
]
] |
Extension of the braid relations to the multiple braided tensor product of algebras that can be used for quantization of nonultralocal models is presented. The Yang--Baxter--type consistency conditions as well as conditions for the existence of the multiple coproduct (monodromy matrix), which can be used for construction of the commuting subalgebra, are given. Homogeneous and local algebras are introduced, and simplification of the Yang--Baxter--type conditions for them is shown. The Yang--Baxter--type equations and multiple coproduct conditions for homogeneous and local of order 2 algebras are solved.
| 8.334799
| 8.832122
| 9.20815
| 8.266246
| 9.110728
| 9.279497
| 8.392251
| 8.732297
| 7.590405
| 10.25183
| 8.014631
| 7.808242
| 8.12039
| 8.066762
| 8.065171
| 7.987157
| 7.86483
| 7.935289
| 8.093987
| 8.223696
| 7.891774
|
hep-th/0702102
|
Kenichi Konishi
|
Kenichi Konishi
|
The Magnetic Monopole Seventy-Five Years Later
|
Latex 62 pages, 6 figures, to appear in a special volume of Lecture
Notes in Physics, Springer, in honor of the 65th birthday of Gabriele
Veneziano. Added references, typos corrected, a section added. Further
corrections made
|
Lect.Notes Phys.737:471-521,2008
| null |
IFUP-TH/2007-04
|
hep-th hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Non-Abelian monopoles are present in the fully quantum mechanical low-energy
effective action of many solvable supersymmetric theories. They behave
perfectly as pointlike particles carrying non-Abelian dual magnetic charges.
They play a crucial role in confinement and in dynamical symmetry breaking in
these theories. There is a natural identification of these excitations within
the semiclassical approach, which involves the flavor symmetry in an essential
manner. We review, in an introductory fashion, the recent development which has
led to a better understanding of the nature of non-Abelian monopoles and of
their role in confinement and dynamical symmetry breaking in strongly
interacting theories.
|
[
{
"created": "Tue, 13 Feb 2007 17:02:22 GMT",
"version": "v1"
},
{
"created": "Sun, 25 Mar 2007 16:10:54 GMT",
"version": "v2"
},
{
"created": "Wed, 10 Dec 2008 16:14:09 GMT",
"version": "v3"
}
] |
2010-05-27
|
[
[
"Konishi",
"Kenichi",
""
]
] |
Non-Abelian monopoles are present in the fully quantum mechanical low-energy effective action of many solvable supersymmetric theories. They behave perfectly as pointlike particles carrying non-Abelian dual magnetic charges. They play a crucial role in confinement and in dynamical symmetry breaking in these theories. There is a natural identification of these excitations within the semiclassical approach, which involves the flavor symmetry in an essential manner. We review, in an introductory fashion, the recent development which has led to a better understanding of the nature of non-Abelian monopoles and of their role in confinement and dynamical symmetry breaking in strongly interacting theories.
| 9.563749
| 9.625708
| 10.021495
| 9.383892
| 9.302705
| 9.234662
| 9.653887
| 8.800386
| 8.91129
| 10.49826
| 9.225041
| 8.740004
| 9.15606
| 8.960545
| 9.243843
| 8.948896
| 9.070186
| 9.114951
| 8.993505
| 9.276426
| 8.717436
|
hep-th/9301085
| null |
Sudhakar Panda and Shibaji Roy
|
On the Symmetry Algebra of the Discrete States in $d<2$ Closed String
Theory
|
13 pages, Plain Tex, IC/93/13, UG-1/93
|
Phys.Lett.B306:252-260,1993
|
10.1016/0370-2693(93)90076-T
| null |
hep-th
| null |
The Symmetry charges associated with the Lian-Zuckerman states for $d<2$
closed string theory are constructed. Unlike in the open string case, it is
shown here that the symmetry charges commute among themselves and act trivially
on all the physical states.
|
[
{
"created": "Thu, 21 Jan 1993 17:37:00 GMT",
"version": "v1"
}
] |
2010-11-01
|
[
[
"Panda",
"Sudhakar",
""
],
[
"Roy",
"Shibaji",
""
]
] |
The Symmetry charges associated with the Lian-Zuckerman states for $d<2$ closed string theory are constructed. Unlike in the open string case, it is shown here that the symmetry charges commute among themselves and act trivially on all the physical states.
| 15.566624
| 13.114763
| 19.131563
| 11.440724
| 12.73761
| 11.076222
| 10.983745
| 12.048751
| 12.679167
| 18.236864
| 12.829656
| 12.219691
| 14.571379
| 12.634252
| 13.260672
| 12.59065
| 11.850453
| 12.547638
| 13.027411
| 15.426769
| 12.471165
|
0709.1671
|
Anton Ilderton
|
Anton Ilderton
|
Gribov copies and confinement
|
6 pages, 2 .eps figures. Talk given at the Ninth Workshop on
Non-Perturbative Quantum Chromodynamics, Paris, June 2007. To appear in the
proceedings
|
ECONFC0706044:28,2007
| null | null |
hep-th
| null |
We analyse the role of the Gribov ambiguity in the construction of physical
charges in gauge theories. It is shown explicitly how the Gribov copies prevent
the construction of physical coloured charges beyond perturbation theory. We
also present a new and manifestly non-perturbative class of Coulomb gauge
Gribov copies.
|
[
{
"created": "Tue, 11 Sep 2007 16:31:17 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Ilderton",
"Anton",
""
]
] |
We analyse the role of the Gribov ambiguity in the construction of physical charges in gauge theories. It is shown explicitly how the Gribov copies prevent the construction of physical coloured charges beyond perturbation theory. We also present a new and manifestly non-perturbative class of Coulomb gauge Gribov copies.
| 9.565225
| 9.3008
| 9.341444
| 8.300768
| 7.998346
| 8.508902
| 7.684825
| 9.403186
| 8.008698
| 9.393571
| 8.246311
| 8.529452
| 8.592954
| 8.526825
| 8.260299
| 8.63607
| 9.241241
| 8.89316
| 8.40093
| 8.839177
| 8.484984
|
hep-th/0702019
|
Alessio Marrani
|
Stefano Bellucci, Sergio Ferrara, Alessio Marrani
|
Attractor Horizon Geometries of Extremal Black Holes
|
1+28 pages, 1 Table, no figures. Contribution to the Proceedings of
the XVII SIGRAV Conference, 4-7 September 2006, Turin, Italy
| null | null |
CERN-PH-TH/2007-025
|
hep-th
| null |
We report on recent advances in the study of critical points of the ``black
hole effective potential'' V_{BH} (usually named \textit{attractors}) of N=2,
d=4 supergravity coupled to n_{V} Abelian vector multiplets, in an
asymptotically flat extremal black hole background described by 2n_{V}+2 dyonic
charges and (complex) scalar fields which are coordinates of an
n_{V}-dimensional Special Kahler manifold.
|
[
{
"created": "Fri, 2 Feb 2007 16:42:41 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Bellucci",
"Stefano",
""
],
[
"Ferrara",
"Sergio",
""
],
[
"Marrani",
"Alessio",
""
]
] |
We report on recent advances in the study of critical points of the ``black hole effective potential'' V_{BH} (usually named \textit{attractors}) of N=2, d=4 supergravity coupled to n_{V} Abelian vector multiplets, in an asymptotically flat extremal black hole background described by 2n_{V}+2 dyonic charges and (complex) scalar fields which are coordinates of an n_{V}-dimensional Special Kahler manifold.
| 8.667315
| 7.016381
| 9.278609
| 8.157395
| 8.249436
| 8.552591
| 7.529662
| 8.637113
| 7.813469
| 10.283014
| 7.606483
| 7.543747
| 8.701395
| 7.560922
| 7.531797
| 7.593897
| 7.230111
| 7.478816
| 7.890579
| 8.66821
| 7.295989
|
2403.13884
|
Hrant Gharibyan
|
Patrick Orman, Hrant Gharibyan, John Preskill
|
Quantum chaos in the sparse SYK model
|
22 pages, 10 figures
| null | null | null |
hep-th cond-mat.str-el quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Sachdev-Ye-Kitaev (SYK) model is a system of $N$ Majorana fermions with
random interactions and strongly chaotic dynamics, which at low energy admits a
holographically dual description as two-dimensional Jackiw-Teitelboim gravity.
Hence the SYK model provides a toy model of quantum gravity that might be
feasible to simulate with near-term quantum hardware. Motivated by the goal of
reducing the resources needed for such a simulation, we study a sparsified
version of the SYK model, in which interaction terms are deleted with
probability $1{-p}$. Specifically, we compute numerically the spectral form
factor (SFF, the Fourier transform of the Hamiltonian's eigenvalue pair
correlation function) and the nearest-neighbor eigenvalue gap ratio $r$
(characterizing the distribution of gaps between consecutive eigenvalues). We
find that when $p$ is greater than a transition value $p_1$, which scales as
$1/N^3$, both the SFF and $r$ match the values attained by the full
unsparsified model and with expectations from random matrix theory (RMT). But
for $p<p_1$, deviations from unsparsified SYK and RMT occur, indicating a
breakdown of holography in the highly sparsified regime. Below an even smaller
value $p_2$, which also scales as $1/N^3$, even the spacing of consecutive
eigenvalues differs from RMT values, signaling a complete breakdown of spectral
rigidity. Our results cast doubt on the holographic interpretation of very
highly sparsified SYK models obtained via machine learning using teleportation
infidelity as a loss function.
|
[
{
"created": "Wed, 20 Mar 2024 18:00:02 GMT",
"version": "v1"
}
] |
2024-03-22
|
[
[
"Orman",
"Patrick",
""
],
[
"Gharibyan",
"Hrant",
""
],
[
"Preskill",
"John",
""
]
] |
The Sachdev-Ye-Kitaev (SYK) model is a system of $N$ Majorana fermions with random interactions and strongly chaotic dynamics, which at low energy admits a holographically dual description as two-dimensional Jackiw-Teitelboim gravity. Hence the SYK model provides a toy model of quantum gravity that might be feasible to simulate with near-term quantum hardware. Motivated by the goal of reducing the resources needed for such a simulation, we study a sparsified version of the SYK model, in which interaction terms are deleted with probability $1{-p}$. Specifically, we compute numerically the spectral form factor (SFF, the Fourier transform of the Hamiltonian's eigenvalue pair correlation function) and the nearest-neighbor eigenvalue gap ratio $r$ (characterizing the distribution of gaps between consecutive eigenvalues). We find that when $p$ is greater than a transition value $p_1$, which scales as $1/N^3$, both the SFF and $r$ match the values attained by the full unsparsified model and with expectations from random matrix theory (RMT). But for $p<p_1$, deviations from unsparsified SYK and RMT occur, indicating a breakdown of holography in the highly sparsified regime. Below an even smaller value $p_2$, which also scales as $1/N^3$, even the spacing of consecutive eigenvalues differs from RMT values, signaling a complete breakdown of spectral rigidity. Our results cast doubt on the holographic interpretation of very highly sparsified SYK models obtained via machine learning using teleportation infidelity as a loss function.
| 5.654293
| 6.231111
| 6.000212
| 5.666968
| 5.96878
| 5.862233
| 6.045207
| 5.984548
| 5.567809
| 6.250595
| 5.37204
| 5.457754
| 5.552084
| 5.454123
| 5.52469
| 5.460505
| 5.613296
| 5.424949
| 5.490537
| 5.610209
| 5.502686
|
1003.4184
|
Anton Ilderton
|
Anton Ilderton, Joakim Lundin, Mattias Marklund
|
Strong Field, Noncommutative QED
|
Discussion of UV/IR mixing extended, references added
|
SIGMA 6 (2010), 041, 27 pages
|
10.3842/SIGMA.2010.041
| null |
hep-th hep-ph math-ph math.MP
|
http://creativecommons.org/licenses/by-nc-sa/3.0/
|
We review the effects of strong background fields in noncommutative QED.
Beginning with the noncommutative Maxwell and Dirac equations, we describe how
combined noncommutative and strong field effects modify the propagation of
fermions and photons. We extend these studies beyond the case of constant
backgrounds by giving a new and revealing interpretation of the photon
dispersion relation. Considering scattering in background fields, we then show
that the noncommutative photon is primarily responsible for generating
deviations from strong field QED results. Finally, we propose a new method for
constructing gauge invariant variables in noncommutative QED, and use it to
analyse the physics of our null background fields.
|
[
{
"created": "Mon, 22 Mar 2010 15:01:39 GMT",
"version": "v1"
},
{
"created": "Wed, 26 May 2010 05:25:04 GMT",
"version": "v2"
}
] |
2010-05-27
|
[
[
"Ilderton",
"Anton",
""
],
[
"Lundin",
"Joakim",
""
],
[
"Marklund",
"Mattias",
""
]
] |
We review the effects of strong background fields in noncommutative QED. Beginning with the noncommutative Maxwell and Dirac equations, we describe how combined noncommutative and strong field effects modify the propagation of fermions and photons. We extend these studies beyond the case of constant backgrounds by giving a new and revealing interpretation of the photon dispersion relation. Considering scattering in background fields, we then show that the noncommutative photon is primarily responsible for generating deviations from strong field QED results. Finally, we propose a new method for constructing gauge invariant variables in noncommutative QED, and use it to analyse the physics of our null background fields.
| 9.845078
| 9.940044
| 9.799044
| 9.642222
| 9.936583
| 10.046119
| 9.339136
| 9.641347
| 9.593118
| 9.708885
| 9.209439
| 9.525317
| 9.284715
| 9.299334
| 9.421067
| 9.554665
| 9.585717
| 9.406018
| 9.049611
| 9.118777
| 9.343569
|
2401.01653
|
Filip Landgren
|
Filip Landgren, Arvind Shekar
|
Islands and entanglement entropy in $d$-dimensional curved backgrounds
| null | null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
A large part of the discussion on entanglement islands has explored the
specific setup of $2d$ JT gravity with a flat heatbath coupled to a $2d$ CFT.
In this paper, we consider a more general setup and treatment of islands in a
$d-$dimensional AdS black hole background. The quantum fields modeling the
Hawking radiation have a scale and are consistently inherited from a conformal
parent theory; their symmetries are thus compatible with those of curved
backgrounds. We demonstrate explicitly that the existence of islands is
sensitive to the choice of CFT used to model the Hawking radiation. We compute
the renormalised entanglement entropy of conformal fields on a negatively
curved background in $d$ dimensions at zero temperature as well as the thermal
regulated entropy of an entangling region near the UV boundary. Using the
latter quantity as the entropy of the Hawking radiation, we find that islands
never emerge for $d>2$.
|
[
{
"created": "Wed, 3 Jan 2024 10:20:23 GMT",
"version": "v1"
}
] |
2024-01-04
|
[
[
"Landgren",
"Filip",
""
],
[
"Shekar",
"Arvind",
""
]
] |
A large part of the discussion on entanglement islands has explored the specific setup of $2d$ JT gravity with a flat heatbath coupled to a $2d$ CFT. In this paper, we consider a more general setup and treatment of islands in a $d-$dimensional AdS black hole background. The quantum fields modeling the Hawking radiation have a scale and are consistently inherited from a conformal parent theory; their symmetries are thus compatible with those of curved backgrounds. We demonstrate explicitly that the existence of islands is sensitive to the choice of CFT used to model the Hawking radiation. We compute the renormalised entanglement entropy of conformal fields on a negatively curved background in $d$ dimensions at zero temperature as well as the thermal regulated entropy of an entangling region near the UV boundary. Using the latter quantity as the entropy of the Hawking radiation, we find that islands never emerge for $d>2$.
| 12.154515
| 10.395405
| 11.640189
| 11.019998
| 11.527369
| 10.806468
| 10.366913
| 11.132404
| 11.552846
| 12.392202
| 11.509763
| 11.477581
| 11.774953
| 11.409648
| 11.515725
| 11.51205
| 11.785423
| 11.365243
| 11.510806
| 11.643762
| 11.469309
|
1909.04662
|
Christian Friedrich Steinwachs
|
Lavinia Heisenberg, Christian F. Steinwachs
|
One-loop renormalization in Galileon effective field theory
|
14 pages; typos corrected, references updated, published in JCAP; the
divergent off-shell contributions to the 1PI one-loop diagrams for the
2-point, 3-point, 4-point, and 5-point functions are provided in an ancillary
file (txt format)
| null |
10.1088/1475-7516/2020/01/014
|
FR-PHENO-2019-014
|
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the renormalization structure of scalar Galileons in flat
spacetime. We explicitly calculate the ultraviolet divergent one-loop
contributions to the 2-point, 3-point, 4-point, and 5-point functions. We
discuss the structure of the counterterms and their hierarchy within an
effective field theory expansion. We comment on different resummation schemes,
including a geometric resummation for which our results could be generalized to
arbitrary n-point functions.
|
[
{
"created": "Tue, 10 Sep 2019 18:00:00 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Mar 2020 20:02:45 GMT",
"version": "v2"
}
] |
2020-03-16
|
[
[
"Heisenberg",
"Lavinia",
""
],
[
"Steinwachs",
"Christian F.",
""
]
] |
We investigate the renormalization structure of scalar Galileons in flat spacetime. We explicitly calculate the ultraviolet divergent one-loop contributions to the 2-point, 3-point, 4-point, and 5-point functions. We discuss the structure of the counterterms and their hierarchy within an effective field theory expansion. We comment on different resummation schemes, including a geometric resummation for which our results could be generalized to arbitrary n-point functions.
| 7.311039
| 7.064687
| 7.29415
| 6.893688
| 7.237548
| 6.439123
| 6.213233
| 6.828168
| 6.598496
| 7.310281
| 6.479998
| 6.70897
| 7.536807
| 6.930504
| 6.90902
| 6.897062
| 6.898283
| 6.98522
| 7.10566
| 7.138759
| 6.796577
|
hep-th/9412007
|
Oswaldo Monteiro del Cima
|
O.M. Del Cima and F.A.B. Rabelo de Carvalho
|
Some Quantum Aspects of Complex Vector Fields with Chern-Simons Term
|
17 pages, Latex, appeared in Int.J.Mod.Phys A10 (1995) 1641
|
Int.J.Mod.Phys. A10 (1995) 1641-1654
|
10.1142/S0217751X95000784
| null |
hep-th
| null |
Complex vector fields with Maxwell, Chern-Simons and Proca terms are
minimally coupled to an Abelian gauge field. The consistency of the spectrum is
analysed and 1-loop quantum corrections to the self-energy are explicitly
computed and discussed. The incorporation of 2-loop contributions and the
behaviour of tree-level scattering amplitudes in the limit of high
center-of-mass energies are also commented.
|
[
{
"created": "Thu, 1 Dec 1994 17:43:03 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Aug 1995 18:00:36 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Del Cima",
"O. M.",
""
],
[
"de Carvalho",
"F. A. B. Rabelo",
""
]
] |
Complex vector fields with Maxwell, Chern-Simons and Proca terms are minimally coupled to an Abelian gauge field. The consistency of the spectrum is analysed and 1-loop quantum corrections to the self-energy are explicitly computed and discussed. The incorporation of 2-loop contributions and the behaviour of tree-level scattering amplitudes in the limit of high center-of-mass energies are also commented.
| 12.302255
| 9.429644
| 9.326727
| 8.184646
| 9.822083
| 9.605583
| 10.698786
| 9.623284
| 8.810709
| 10.338086
| 9.443186
| 9.73058
| 9.931774
| 9.465377
| 10.432472
| 9.750411
| 10.246013
| 9.861634
| 9.326329
| 10.340547
| 9.853552
|
hep-th/9906234
|
Ralph Blumenhagen
|
Ralph Blumenhagen and Alok Kumar
|
A Note on Orientifolds and Dualities of Type 0B String Theory
|
12 pages, TeX, harvmac, minor changes, ref. added
|
Phys.Lett. B464 (1999) 46-52
|
10.1016/S0370-2693(99)01002-3
|
HUB-EP-99/29, CERN-TH/99-190
|
hep-th
| null |
We generalize the construction of four dimensional non-tachyonic orientifolds
of type 0B string theory to non-supersymmetric backgrounds. We construct a four
dimensional model containing self-dual D3 and D9-branes and leading to a chiral
anomaly-free massless spectrum. Moreover, we discuss a further tachyon-free six
dimensional model with only D5 branes. Eventually, we speculate about strong
coupling dual models of the ten-dimensional orientifolds of type 0B.
|
[
{
"created": "Tue, 29 Jun 1999 16:01:24 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Jul 1999 14:01:01 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Blumenhagen",
"Ralph",
""
],
[
"Kumar",
"Alok",
""
]
] |
We generalize the construction of four dimensional non-tachyonic orientifolds of type 0B string theory to non-supersymmetric backgrounds. We construct a four dimensional model containing self-dual D3 and D9-branes and leading to a chiral anomaly-free massless spectrum. Moreover, we discuss a further tachyon-free six dimensional model with only D5 branes. Eventually, we speculate about strong coupling dual models of the ten-dimensional orientifolds of type 0B.
| 10.959201
| 10.074299
| 12.171926
| 9.304448
| 8.993602
| 9.237745
| 8.503171
| 9.048772
| 9.808748
| 12.408744
| 8.731987
| 9.592836
| 11.413437
| 9.954629
| 9.93676
| 9.630117
| 9.688719
| 9.908386
| 10.044181
| 11.075193
| 9.900996
|
hep-th/9710120
|
Anastasia I. Volovich
|
Anastasia Volovich
|
Domain Wall in MQCD and Supersymmetric Cycles in Exceptional Holonomy
Manifolds
|
Latex, 15 pages, improved version
| null | null |
AIV-97/I
|
hep-th
| null |
It was conjectured by Witten that a BPS-saturated domain wall exists in the
M-theory fivebrane version of QCD (MQCD) and can be represented as a
supersymmetric three-cycle in the sense of Becker et al with an appropriate
asymptotic behavior. We derive the differential equation which defines an
associative cycle in $G_2$ holonomy seven-manifold corresponding to the
supersymmetric three-cycle and show that it contains a sum of the Poisson
brackets. We study solutions of the differential equation with prescribed
asymptotic behavior.
|
[
{
"created": "Wed, 15 Oct 1997 21:30:44 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Dec 1997 14:20:04 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Volovich",
"Anastasia",
""
]
] |
It was conjectured by Witten that a BPS-saturated domain wall exists in the M-theory fivebrane version of QCD (MQCD) and can be represented as a supersymmetric three-cycle in the sense of Becker et al with an appropriate asymptotic behavior. We derive the differential equation which defines an associative cycle in $G_2$ holonomy seven-manifold corresponding to the supersymmetric three-cycle and show that it contains a sum of the Poisson brackets. We study solutions of the differential equation with prescribed asymptotic behavior.
| 13.314474
| 10.924943
| 14.271482
| 10.961942
| 11.391936
| 10.780461
| 10.736815
| 10.815074
| 10.482772
| 15.127565
| 11.098239
| 11.896727
| 11.948892
| 11.743233
| 11.605891
| 11.497832
| 11.742978
| 11.525083
| 12.196499
| 11.873411
| 11.646108
|
1008.0281
|
Vincent Pangon
|
V. Pangon
|
Structure of the broken phase of the sine-Gordon model using functional
renormalization
|
43 pages, 32 figures, accepted version
|
International Journal 1 of Modern Physics A 2 Vol. 27, Nos. 3 & 4
(2012) 1250014
|
10.1142/S0217751X12500145
| null |
hep-th cond-mat.str-el hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study in this paper the sine-Gordon model using functional Renormalization
Group (fRG) at Local Potential Approximation (LPA) using different RG schemes.
In $d=2$, using Wegner-Houghton RG we demonstrate that the location of the
phase boundary is entirely driven by the relative position to the Coleman fixed
point even for strongly coupled bare theories. We show the existence of a set
of IR fixed points in the broken phase that are reached independently of the
bare coupling. The bad convergence of the Fourier series in the broken phase is
discussed and we demonstrate that these fixed-points can be found only using a
global resolution of the effective potential. We then introduce the methodology
for the use of Average action method where the regulator breaks periodicity and
show that it provides the same conclusions for various regulators. The behavior
of the model is then discussed in $d\ne 2$ and the absence of the previous
fixed points is interpreted.
|
[
{
"created": "Mon, 2 Aug 2010 11:44:36 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Aug 2010 12:20:44 GMT",
"version": "v2"
},
{
"created": "Mon, 6 Feb 2012 22:42:45 GMT",
"version": "v3"
}
] |
2012-02-09
|
[
[
"Pangon",
"V.",
""
]
] |
We study in this paper the sine-Gordon model using functional Renormalization Group (fRG) at Local Potential Approximation (LPA) using different RG schemes. In $d=2$, using Wegner-Houghton RG we demonstrate that the location of the phase boundary is entirely driven by the relative position to the Coleman fixed point even for strongly coupled bare theories. We show the existence of a set of IR fixed points in the broken phase that are reached independently of the bare coupling. The bad convergence of the Fourier series in the broken phase is discussed and we demonstrate that these fixed-points can be found only using a global resolution of the effective potential. We then introduce the methodology for the use of Average action method where the regulator breaks periodicity and show that it provides the same conclusions for various regulators. The behavior of the model is then discussed in $d\ne 2$ and the absence of the previous fixed points is interpreted.
| 14.462528
| 14.252481
| 16.284121
| 13.654924
| 15.008959
| 14.839649
| 15.218191
| 13.894361
| 13.37421
| 15.247729
| 14.279589
| 14.220046
| 14.25799
| 13.765394
| 14.439219
| 14.346142
| 14.30503
| 14.053753
| 13.96575
| 14.244273
| 13.643285
|
2012.00519
|
Carlos Mafra
|
Hadleigh Frost, Carlos R. Mafra, Lionel Mason
|
A Lie bracket for the momentum kernel
|
48 pp
| null |
10.1007/s00220-023-04748-z
| null |
hep-th math.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We develop new mathematical tools for the study of the double copy and
colour-kinematics duality for tree-level scattering amplitudes using the
properties of Lie polynomials. We show that the $S$-map that was defined to
simplify super-Yang--Mills multiparticle superfields is in fact a new Lie
bracket on the dual space of Lie polynomials. We introduce {\it Lie polynomial
currents} based on Berends-Giele recursion for biadjoint scalar tree amplitudes
that take values in Lie polynomials. Field theory amplitudes are obtained from
the Lie polynomial amplitudes by numerators characterized as homomorphisms from
the free Lie algebra to kinematic data. Examples are presented for the
biadjoint scalar, Yang--Mills theory and the nonlinear sigma model. That these
theories satisfy the Bern-Carrasco-Johansson amplitude relations follows from
the identities we prove for the Lie polynomial amplitudes and the existence of
BCJ numerators.
A KLT map from Lie polynomials to their dual is obtained by nesting the S-map
Lie bracket; the matrix elements of this map yield a recently proposed
`generalized KLT matrix', and this reduces to the usual KLT matrix when its
entries are restricted to a basis. Using this, we give an algebraic proof for
the cancellation of double poles in the KLT formula for gravity amplitudes. We
finish with some remarks on numerators and colour-kinematics duality from this
perspective.
|
[
{
"created": "Tue, 1 Dec 2020 14:32:13 GMT",
"version": "v1"
}
] |
2023-07-26
|
[
[
"Frost",
"Hadleigh",
""
],
[
"Mafra",
"Carlos R.",
""
],
[
"Mason",
"Lionel",
""
]
] |
We develop new mathematical tools for the study of the double copy and colour-kinematics duality for tree-level scattering amplitudes using the properties of Lie polynomials. We show that the $S$-map that was defined to simplify super-Yang--Mills multiparticle superfields is in fact a new Lie bracket on the dual space of Lie polynomials. We introduce {\it Lie polynomial currents} based on Berends-Giele recursion for biadjoint scalar tree amplitudes that take values in Lie polynomials. Field theory amplitudes are obtained from the Lie polynomial amplitudes by numerators characterized as homomorphisms from the free Lie algebra to kinematic data. Examples are presented for the biadjoint scalar, Yang--Mills theory and the nonlinear sigma model. That these theories satisfy the Bern-Carrasco-Johansson amplitude relations follows from the identities we prove for the Lie polynomial amplitudes and the existence of BCJ numerators. A KLT map from Lie polynomials to their dual is obtained by nesting the S-map Lie bracket; the matrix elements of this map yield a recently proposed `generalized KLT matrix', and this reduces to the usual KLT matrix when its entries are restricted to a basis. Using this, we give an algebraic proof for the cancellation of double poles in the KLT formula for gravity amplitudes. We finish with some remarks on numerators and colour-kinematics duality from this perspective.
| 9.536175
| 9.467562
| 11.696198
| 9.461063
| 10.165433
| 11.006456
| 9.948385
| 9.258858
| 9.877359
| 11.792208
| 9.098767
| 9.484543
| 9.707779
| 9.416677
| 9.524729
| 9.358167
| 9.172244
| 9.291502
| 9.475266
| 9.529342
| 9.252412
|
hep-th/9208021
| null |
Luca Mezincescu and Rafael I. Nepomechie
|
Models with Quantum Symmetry and their Spectra
|
12 pages, UMTG-168
| null | null | null |
hep-th
| null |
We review how to construct a large class of integrable quantum spin chains
with quantum-algebra symmetry, and how to determine their spectra. (To appear
in Louis Witten Festschrift)
|
[
{
"created": "Fri, 7 Aug 1992 22:43:06 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Mezincescu",
"Luca",
""
],
[
"Nepomechie",
"Rafael I.",
""
]
] |
We review how to construct a large class of integrable quantum spin chains with quantum-algebra symmetry, and how to determine their spectra. (To appear in Louis Witten Festschrift)
| 18.732933
| 10.571684
| 14.119165
| 10.629943
| 10.37618
| 9.206035
| 12.671109
| 11.392004
| 12.37237
| 19.307886
| 11.024283
| 12.72016
| 15.398024
| 12.708832
| 12.869326
| 12.53152
| 14.399615
| 12.615665
| 12.216052
| 14.756516
| 12.110178
|
hep-th/9807234
|
Beatriz Gato-Rivera
|
Matthias Doerrzapf (Harvard) and Beatriz Gato-Rivera (IMAFF-CSIC)
|
Singular dimensions of the N=2 superconformal algebras. I
|
Latex, 37 pages
|
Commun.Math.Phys. 206 (1999) 493-531
|
10.1007/s002200050835
|
HUTP-98/A021, IMAFF-FM-98/06, NIKHEF-98-022
|
hep-th math-ph math.MP math.OA math.QA math.RT
| null |
Verma modules of superconfomal algebras can have singular vector spaces with
dimensions greater than 1. Following a method developed for the Virasoro
algebra by Kent, we introduce the concept of adapted orderings on
superconformal algebras. We prove several general results on the ordering
kernels associated to the adapted orderings and show that the size of an
ordering kernel implies an upper limit for the dimension of a singular vector
space. We apply this method to the topological N=2 algebra and obtain the
maximal dimensions of the singular vector spaces in the topological Verma
modules: 0, 1, 2 or 3 depending on the type of Verma module and the type of
singular vector. As a consequence we prove the conjecture of Gato-Rivera and
Rosado on the possible existing types of topological singular vectors (4 in
chiral Verma modules and 29 in complete Verma modules). Interestingly, we have
found two-dimensional spaces of singular vectors at level 1. Finally, by using
the topological twists and the spectral flows, we also obtain the maximal
dimensions of the singular vector spaces for the Neveu-Schwarz N=2 algebra (0,
1 or 2) and for the Ramond N=2 algebra (0, 1, 2 or 3).
|
[
{
"created": "Thu, 30 Jul 1998 17:52:04 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Doerrzapf",
"Matthias",
"",
"Harvard"
],
[
"Gato-Rivera",
"Beatriz",
"",
"IMAFF-CSIC"
]
] |
Verma modules of superconfomal algebras can have singular vector spaces with dimensions greater than 1. Following a method developed for the Virasoro algebra by Kent, we introduce the concept of adapted orderings on superconformal algebras. We prove several general results on the ordering kernels associated to the adapted orderings and show that the size of an ordering kernel implies an upper limit for the dimension of a singular vector space. We apply this method to the topological N=2 algebra and obtain the maximal dimensions of the singular vector spaces in the topological Verma modules: 0, 1, 2 or 3 depending on the type of Verma module and the type of singular vector. As a consequence we prove the conjecture of Gato-Rivera and Rosado on the possible existing types of topological singular vectors (4 in chiral Verma modules and 29 in complete Verma modules). Interestingly, we have found two-dimensional spaces of singular vectors at level 1. Finally, by using the topological twists and the spectral flows, we also obtain the maximal dimensions of the singular vector spaces for the Neveu-Schwarz N=2 algebra (0, 1 or 2) and for the Ramond N=2 algebra (0, 1, 2 or 3).
| 6.74791
| 6.929195
| 8.264234
| 6.547462
| 7.349489
| 7.119792
| 6.859718
| 6.804837
| 6.637413
| 8.303499
| 6.435963
| 6.288661
| 6.746694
| 6.45555
| 6.577027
| 6.529822
| 6.399734
| 6.57985
| 6.312199
| 6.712057
| 6.749081
|
hep-th/0207276
|
Jan Govaerts
|
Jan Govaerts (UCL, Louvain-la-Neuve, Belgium)
|
The Quantum Geometer's Universe: Particles, Interactions and Topology
|
Lectures at the Second International Workshop on Contemporary
Problems in Mathematical Physics, Cotonou, Republic of Benin, 94 pages
| null |
10.1142/9789812777560_0002
| null |
hep-th
| null |
With the two most profound conceptual revolutions of XXth century physics,
quantum mechanics and relativity, which have culminated into relativistic
spacetime geometry and quantum gauge field theory as the principles for gravity
and the three other known fundamental interactions, the physicist of the XXIst
century has inherited an unfinished symphony: the unification of the quantum
and the continuum. As an invitation to tomorrow's quantum geometers who must
design the new rulers by which to size up the Universe at those scales where
the smallest meets the largest, these lectures review the basic principles of
today's conceptual framework, and highlight by way of simple examples the
interplay that presently exists between the quantum world of particle
interactions and the classical world of geometry and topology.
|
[
{
"created": "Wed, 31 Jul 2002 08:17:43 GMT",
"version": "v1"
}
] |
2017-08-23
|
[
[
"Govaerts",
"Jan",
"",
"UCL, Louvain-la-Neuve, Belgium"
]
] |
With the two most profound conceptual revolutions of XXth century physics, quantum mechanics and relativity, which have culminated into relativistic spacetime geometry and quantum gauge field theory as the principles for gravity and the three other known fundamental interactions, the physicist of the XXIst century has inherited an unfinished symphony: the unification of the quantum and the continuum. As an invitation to tomorrow's quantum geometers who must design the new rulers by which to size up the Universe at those scales where the smallest meets the largest, these lectures review the basic principles of today's conceptual framework, and highlight by way of simple examples the interplay that presently exists between the quantum world of particle interactions and the classical world of geometry and topology.
| 17.70903
| 20.348732
| 19.076942
| 17.55772
| 18.012236
| 19.048569
| 18.366611
| 18.126287
| 17.704998
| 17.014902
| 17.85006
| 16.871382
| 17.025995
| 17.045197
| 16.800951
| 15.989201
| 16.749022
| 16.433397
| 16.846508
| 17.279472
| 16.646446
|
2107.02165
|
Zhu-Xi Luo
|
Andreas Karch, Zhu-Xi Luo, Hao-Yu Sun
|
Universal relations for holographic interfaces
|
v4, corrected formulas about entanglement entropy in the RS model
| null |
10.1007/JHEP09(2021)172
| null |
hep-th cond-mat.str-el gr-qc
|
http://creativecommons.org/licenses/by-nc-nd/4.0/
|
We study the entanglement entropy in 1+1 dimensional conformal field theories
in the presence of interfaces from a holographic perspective. Compared with the
well-known case of boundary conformal field theories, interfaces allow for
several interesting new observables. Depending on how the interface is located
within the entangling region, the entanglement entropies differ and exhibit
surprising new patterns and universal relations. While our analysis is
performed within the framework of holography, we expect our results to hold
more generally.
|
[
{
"created": "Mon, 5 Jul 2021 17:49:23 GMT",
"version": "v1"
},
{
"created": "Sat, 17 Jul 2021 09:36:53 GMT",
"version": "v2"
},
{
"created": "Thu, 26 Aug 2021 05:34:00 GMT",
"version": "v3"
},
{
"created": "Mon, 21 Aug 2023 12:31:19 GMT",
"version": "v4"
}
] |
2023-08-22
|
[
[
"Karch",
"Andreas",
""
],
[
"Luo",
"Zhu-Xi",
""
],
[
"Sun",
"Hao-Yu",
""
]
] |
We study the entanglement entropy in 1+1 dimensional conformal field theories in the presence of interfaces from a holographic perspective. Compared with the well-known case of boundary conformal field theories, interfaces allow for several interesting new observables. Depending on how the interface is located within the entangling region, the entanglement entropies differ and exhibit surprising new patterns and universal relations. While our analysis is performed within the framework of holography, we expect our results to hold more generally.
| 7.293865
| 6.268882
| 8.047652
| 6.245144
| 6.665627
| 6.116687
| 6.325138
| 6.357225
| 6.409498
| 7.967237
| 6.263484
| 6.650074
| 7.586362
| 6.540696
| 6.810531
| 6.707535
| 6.563071
| 6.712972
| 6.526467
| 7.544409
| 6.508386
|
hep-th/9402034
|
Randjbar Daemi Seif
|
S. Randjbar-Daemi and J. Strathdee
|
Continuous Local Symmetry in Ising-type Models
|
7 pages, latex, IC/94/27
|
Phys.Lett. B327 (1994) 309-312
|
10.1016/0370-2693(94)90734-X
| null |
hep-th
| null |
A class of generalized Ising models is examined with a view to extracting a
low energy sector comprising
Dirac fermions coupled to Yang-Mills vectors. The main feature of this
approach is a set of gap equations, covariant with respect to one of the
$4$-dimensional crystallographic space groups.
|
[
{
"created": "Mon, 7 Feb 1994 13:19:21 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Randjbar-Daemi",
"S.",
""
],
[
"Strathdee",
"J.",
""
]
] |
A class of generalized Ising models is examined with a view to extracting a low energy sector comprising Dirac fermions coupled to Yang-Mills vectors. The main feature of this approach is a set of gap equations, covariant with respect to one of the $4$-dimensional crystallographic space groups.
| 17.052139
| 15.459208
| 17.201637
| 14.836454
| 13.241592
| 15.797997
| 16.774687
| 14.604355
| 14.563169
| 15.997602
| 13.8138
| 13.020475
| 15.557508
| 14.160095
| 13.272939
| 13.296161
| 14.504936
| 13.399757
| 13.537479
| 13.763869
| 13.214545
|
2302.09219
|
Yasuaki Hikida
|
Heng-Yu Chen, Yasuaki Hikida, Yusuke Taki and Takahiro Uetoko
|
Complex saddles of three-dimensional de Sitter gravity via holography
|
7 pages, 1 figure, minor changes, references added, published version
| null |
10.1103/PhysRevD.107.L101902
|
YITP-23-16
|
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We determine complex saddles of three-dimensional gravity with a positive
cosmological constant by applying the recently proposed holography. It is
sometimes useful to consider a complexified metric to study quantum gravity as
in the case of the no-boundary proposal by Hartle and Hawking. However, there
would be too many saddles for complexified gravity, and we should determine
which saddles to take. We describe the gravity theory by three-dimensional
SL$(2,\mathbb{C})$ Chern-Simons theory. At the leading order in the Newton
constant, its holographic dual is given by Liouville theory with a large
imaginary central charge. We examine geometry with a conical defect, called a
de Sitter black hole, from a Liouville two-point function. We also consider
geometry with two conical defects, whose saddles are determined by the
monodromy matrix of Liouville four-point function. Utilizing Chern-Simons
description, we extend the similar analysis to the case with higher-spin
gravity.
|
[
{
"created": "Sat, 18 Feb 2023 03:10:54 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Mar 2023 00:32:44 GMT",
"version": "v2"
},
{
"created": "Mon, 22 May 2023 07:54:19 GMT",
"version": "v3"
}
] |
2023-06-07
|
[
[
"Chen",
"Heng-Yu",
""
],
[
"Hikida",
"Yasuaki",
""
],
[
"Taki",
"Yusuke",
""
],
[
"Uetoko",
"Takahiro",
""
]
] |
We determine complex saddles of three-dimensional gravity with a positive cosmological constant by applying the recently proposed holography. It is sometimes useful to consider a complexified metric to study quantum gravity as in the case of the no-boundary proposal by Hartle and Hawking. However, there would be too many saddles for complexified gravity, and we should determine which saddles to take. We describe the gravity theory by three-dimensional SL$(2,\mathbb{C})$ Chern-Simons theory. At the leading order in the Newton constant, its holographic dual is given by Liouville theory with a large imaginary central charge. We examine geometry with a conical defect, called a de Sitter black hole, from a Liouville two-point function. We also consider geometry with two conical defects, whose saddles are determined by the monodromy matrix of Liouville four-point function. Utilizing Chern-Simons description, we extend the similar analysis to the case with higher-spin gravity.
| 9.855342
| 8.500423
| 10.061347
| 8.699827
| 8.938823
| 8.643497
| 8.647415
| 8.983962
| 8.672436
| 11.245444
| 8.543941
| 9.234169
| 9.670193
| 9.231581
| 9.053543
| 9.137339
| 9.000793
| 8.87113
| 9.401931
| 9.959867
| 8.999327
|
2407.21573
|
Emmanouil Raptakis
|
Sergei M. Kuzenko and Emmanouil S. N. Raptakis
|
Towards $\mathcal{N}=2$ superconformal higher-spin theory
|
30 pages
| null | null | null |
hep-th math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
Three years ago, we proposed free off-shell models for ${\mathcal N}=2$
superconformal higher-spin multiplets in arbitrary conformally flat
backgrounds, constructed conserved conformal higher-spin supercurrents for a
massless hypermultiplet, and sketched the Noether procedure to generate its
cubic couplings to the superconformal higher-spin multiplets. This paper is
devoted to completing the Noether procedure. Specifically, we: (i) describe the
unique off-shell primary extensions of the conformal higher-spin supercurrents;
(ii) embed the off-shell superconformal prepotentials given in arXiv:2104.10416
into primary unconstrained isotwistor multiplets; and (iii) present the unique
gauge transformations of the hypermultiplet and the isotwistor prepotentials.
An extension of the Noether procedure beyond the cubic level is also sketched,
following the earlier ${\mathcal N}=1$ superconformal approach of
arXiv:2208.07783. Our construction is based on making use of the polar
hypermultiplet within the projective-superspace setting.
|
[
{
"created": "Wed, 31 Jul 2024 13:01:46 GMT",
"version": "v1"
}
] |
2024-08-01
|
[
[
"Kuzenko",
"Sergei M.",
""
],
[
"Raptakis",
"Emmanouil S. N.",
""
]
] |
Three years ago, we proposed free off-shell models for ${\mathcal N}=2$ superconformal higher-spin multiplets in arbitrary conformally flat backgrounds, constructed conserved conformal higher-spin supercurrents for a massless hypermultiplet, and sketched the Noether procedure to generate its cubic couplings to the superconformal higher-spin multiplets. This paper is devoted to completing the Noether procedure. Specifically, we: (i) describe the unique off-shell primary extensions of the conformal higher-spin supercurrents; (ii) embed the off-shell superconformal prepotentials given in arXiv:2104.10416 into primary unconstrained isotwistor multiplets; and (iii) present the unique gauge transformations of the hypermultiplet and the isotwistor prepotentials. An extension of the Noether procedure beyond the cubic level is also sketched, following the earlier ${\mathcal N}=1$ superconformal approach of arXiv:2208.07783. Our construction is based on making use of the polar hypermultiplet within the projective-superspace setting.
| 8.995903
| 7.56117
| 9.945245
| 7.806651
| 7.994354
| 8.324068
| 8.303996
| 8.085925
| 8.196201
| 11.055612
| 7.628728
| 8.292833
| 8.368
| 7.944502
| 8.393939
| 8.177721
| 8.397415
| 8.298124
| 8.008922
| 9.126083
| 8.012986
|
0811.4427
|
Brian Wecht
|
Vijay Balasubramanian, Bartlomiej Czech, Alfred D. Shapere, Brian
Wecht
|
Quiver Topology and RG Dynamics
|
30 pages, 10 figures
|
JHEP 0904:079,2009
|
10.1088/1126-6708/2009/04/079
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Renormalization group flows of quiver gauge theories play a central role in
determining the low-energy properties of string vacua. We demonstrate that
useful predictions about the RG dynamics of a quiver gauge theory may be
extracted from the global structure of its quiver diagram. For quiver theories
of a certain type, we develop an efficient and practical method for determining
which superpotential deformations generate a flow to an interacting conformal
fixed point.
|
[
{
"created": "Fri, 28 Nov 2008 16:23:15 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Balasubramanian",
"Vijay",
""
],
[
"Czech",
"Bartlomiej",
""
],
[
"Shapere",
"Alfred D.",
""
],
[
"Wecht",
"Brian",
""
]
] |
Renormalization group flows of quiver gauge theories play a central role in determining the low-energy properties of string vacua. We demonstrate that useful predictions about the RG dynamics of a quiver gauge theory may be extracted from the global structure of its quiver diagram. For quiver theories of a certain type, we develop an efficient and practical method for determining which superpotential deformations generate a flow to an interacting conformal fixed point.
| 8.531545
| 7.979761
| 7.747502
| 7.676013
| 8.767212
| 8.512968
| 8.109852
| 7.589832
| 7.445133
| 8.799562
| 7.730468
| 7.705999
| 7.642892
| 7.525284
| 7.723974
| 7.65867
| 8.080061
| 7.696717
| 7.502131
| 7.677646
| 7.63223
|
hep-th/9508026
|
Masayuki Noguchi
|
Masayuki Noguchi and Sung-Kil Yang
|
Non Scale-Invariant Topological Landau-Ginzburg Models
|
14 pages, latex, no figures
|
Phys.Lett. B360 (1995) 35-40
|
10.1016/0370-2693(95)01147-I
|
UTHEP-312
|
hep-th
| null |
The Landau-Ginzburg formulation of two-dimensional topological sigma models
on the target space with positive first Chern class is considered. The
effective Landau-Ginzburg superpotential takes the form of logarithmic type
which is characteristic of supersymmetric theories with the mass gap. The
equations of motion yield the defining relations of the quantum cohomology
ring. Topological correlation functions in the $CP^{n-1}$ and Grassmannian
models are explicitly evaluated with the use of the logarithmic superpotential.
|
[
{
"created": "Mon, 7 Aug 1995 03:01:44 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Noguchi",
"Masayuki",
""
],
[
"Yang",
"Sung-Kil",
""
]
] |
The Landau-Ginzburg formulation of two-dimensional topological sigma models on the target space with positive first Chern class is considered. The effective Landau-Ginzburg superpotential takes the form of logarithmic type which is characteristic of supersymmetric theories with the mass gap. The equations of motion yield the defining relations of the quantum cohomology ring. Topological correlation functions in the $CP^{n-1}$ and Grassmannian models are explicitly evaluated with the use of the logarithmic superpotential.
| 8.78995
| 7.911987
| 9.349296
| 7.34017
| 7.273727
| 7.786538
| 7.746336
| 7.480708
| 6.773277
| 10.626373
| 7.303011
| 7.328138
| 9.11665
| 7.684416
| 7.823304
| 7.557566
| 7.419689
| 7.871408
| 7.83075
| 8.433054
| 7.583402
|
1302.6765
|
Frederik F. Van der Veken
|
Frederik F. Van der Veken
|
Evolution and dynamics of cusped light-like Wilson loops
|
6 pages, proceedings for the 3rd Workshop on the QCD Structure of the
Nucleon (QCD-N'12)
|
Nuovo Cim. C36 05 (2013), 89-94
|
10.1393/ncc/i2013-11603-6
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss the possible relation between the singular structure of TMDs on
the light-cone and the geometrical behaviour of rectangular Wilson loops.
|
[
{
"created": "Wed, 27 Feb 2013 13:41:01 GMT",
"version": "v1"
}
] |
2022-03-02
|
[
[
"Van der Veken",
"Frederik F.",
""
]
] |
We discuss the possible relation between the singular structure of TMDs on the light-cone and the geometrical behaviour of rectangular Wilson loops.
| 23.217035
| 13.565463
| 12.498383
| 13.098567
| 12.395223
| 13.451294
| 12.270463
| 13.056443
| 12.02929
| 15.912704
| 14.695793
| 18.011232
| 17.389271
| 16.820305
| 17.258671
| 18.270126
| 16.842995
| 18.641455
| 17.525173
| 16.865011
| 17.849201
|
0904.4664
|
Barton Zwiebach
|
Chris Hull and Barton Zwiebach
|
Double Field Theory
|
51 pages. v2: Corrected typo in eqn. (2.48) and very minor typos
elsewhere. Added ref. [9] to M. Van Raamsdonk
|
JHEP 0909:099,2009
|
10.1088/1126-6708/2009/09/099
|
Imperial-TP-2009-CH-02, MIT-CTP-4031
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The zero modes of closed strings on a torus --the torus coordinates plus dual
coordinates conjugate to winding number-- parameterize a doubled torus. In
closed string field theory, the string field depends on all zero-modes and so
can be expanded to give an infinite set of fields on the doubled torus. We use
the string field theory to construct a theory of massless fields on the doubled
torus. Key to the consistency is a constraint on fields and gauge parameters
that arises from the L_0 - \bar L_0=0 condition in closed string theory. The
symmetry of this double field theory includes usual and 'dual diffeomorphisms',
together with a T-duality acting on fields that have explicit dependence on the
torus coordinates and the dual coordinates. We find that, along with gravity, a
Kalb-Ramond field and a dilaton must be added to support both usual and dual
diffeomorphisms. We construct a fully consistent and gauge invariant action on
the doubled torus to cubic order in the fields. We discuss the challenges
involved in the construction of the full nonlinear theory. We emphasize that
the doubled geometry is physical and the dual dimensions should not be viewed
as an auxiliary structure or a gauge artifact.
|
[
{
"created": "Wed, 29 Apr 2009 17:50:22 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Aug 2009 18:37:19 GMT",
"version": "v2"
}
] |
2009-10-02
|
[
[
"Hull",
"Chris",
""
],
[
"Zwiebach",
"Barton",
""
]
] |
The zero modes of closed strings on a torus --the torus coordinates plus dual coordinates conjugate to winding number-- parameterize a doubled torus. In closed string field theory, the string field depends on all zero-modes and so can be expanded to give an infinite set of fields on the doubled torus. We use the string field theory to construct a theory of massless fields on the doubled torus. Key to the consistency is a constraint on fields and gauge parameters that arises from the L_0 - \bar L_0=0 condition in closed string theory. The symmetry of this double field theory includes usual and 'dual diffeomorphisms', together with a T-duality acting on fields that have explicit dependence on the torus coordinates and the dual coordinates. We find that, along with gravity, a Kalb-Ramond field and a dilaton must be added to support both usual and dual diffeomorphisms. We construct a fully consistent and gauge invariant action on the doubled torus to cubic order in the fields. We discuss the challenges involved in the construction of the full nonlinear theory. We emphasize that the doubled geometry is physical and the dual dimensions should not be viewed as an auxiliary structure or a gauge artifact.
| 8.835555
| 8.6733
| 9.02052
| 8.615472
| 9.196263
| 9.066703
| 8.341933
| 8.94425
| 8.745975
| 10.698067
| 8.545123
| 8.340515
| 8.627253
| 8.389284
| 8.076153
| 8.327261
| 8.276483
| 8.247017
| 8.431241
| 8.969122
| 8.445592
|
hep-th/0512313
|
Semyon Konstein
|
S.E.Konstein and I.V.Tyutin
|
Deformations of the antibracket
|
LaTeX, 12 pages
| null | null | null |
hep-th
| null |
We consider antiPoisson superalgebras realized on the smooth Grassmann-valued
functions with compact supports in R^n and with the grading inverse to
Grassmanian parity. The deformations of these superalgebras and their central
extensions are found.
|
[
{
"created": "Mon, 26 Dec 2005 16:00:04 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Konstein",
"S. E.",
""
],
[
"Tyutin",
"I. V.",
""
]
] |
We consider antiPoisson superalgebras realized on the smooth Grassmann-valued functions with compact supports in R^n and with the grading inverse to Grassmanian parity. The deformations of these superalgebras and their central extensions are found.
| 18.65493
| 5.860039
| 22.396204
| 9.552572
| 9.926342
| 10.176889
| 10.492401
| 7.959501
| 8.417958
| 20.701078
| 8.876036
| 12.003803
| 16.933022
| 13.156404
| 14.950516
| 13.204553
| 14.048111
| 12.83908
| 13.495399
| 16.181145
| 12.913334
|
hep-th/9502025
|
Fernando Falceto Blecua
|
M. Asorey and F. Falceto
|
Consistency of the Regularization of Gauge Theories by High Covariant
Derivatives
|
20 pages, latex, 3 Postscript figures (expanded version)
|
Phys.Rev. D54 (1996) 5290-5301
|
10.1103/PhysRevD.54.5290
| null |
hep-th hep-ph
| null |
We show that regularization of gauge theories by higher covariant derivatives
and gauge invariant Pauli-Villars regulators is a consistent method if the
Pauli-Villars vector fields are considered in a covariant in the regulating
Pauli-Villars fields is pathological and the original Slavnov proposal in
covariant Landau gauge is not correct because of the appearance of massless
modes in the regulators which do not decouple when the ultraviolet regulator is
removed. In such a case the method does not correspond to the regularization of
a pure gauge theory but that of a gauge theory in interaction with massless
ghost fields. This explains the problems pointed out by Martin and Ruiz in
covariant Landau gauge. However, a minor modification of Slavnov method
provides a consistent regularization even for such a case. The regularization
that we introduce also solves the problem of overlapping divergences in a way
similar to geometric regularization and yields the standard values of the
$\beta$ and $\gamma$ functions of the renormalization group equations.
|
[
{
"created": "Fri, 3 Feb 1995 15:58:43 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Oct 1996 19:53:10 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Asorey",
"M.",
""
],
[
"Falceto",
"F.",
""
]
] |
We show that regularization of gauge theories by higher covariant derivatives and gauge invariant Pauli-Villars regulators is a consistent method if the Pauli-Villars vector fields are considered in a covariant in the regulating Pauli-Villars fields is pathological and the original Slavnov proposal in covariant Landau gauge is not correct because of the appearance of massless modes in the regulators which do not decouple when the ultraviolet regulator is removed. In such a case the method does not correspond to the regularization of a pure gauge theory but that of a gauge theory in interaction with massless ghost fields. This explains the problems pointed out by Martin and Ruiz in covariant Landau gauge. However, a minor modification of Slavnov method provides a consistent regularization even for such a case. The regularization that we introduce also solves the problem of overlapping divergences in a way similar to geometric regularization and yields the standard values of the $\beta$ and $\gamma$ functions of the renormalization group equations.
| 10.956906
| 10.554597
| 11.331045
| 10.481955
| 11.163459
| 10.94336
| 10.916837
| 11.026507
| 10.596355
| 13.325077
| 10.426447
| 10.492016
| 10.659975
| 10.216129
| 10.59895
| 10.609088
| 10.319957
| 10.161416
| 10.492005
| 11.185869
| 10.187881
|
1912.07453
|
Quentin Bonnefoy
|
Quentin Bonnefoy, Luca Ciambelli, Dieter Lust, and Severin L\"ust
|
Infinite Black Hole Entropies at Infinite Distances and Tower of States
|
19 pages. v2: one ref added. v3: organisation of the paper slightly
modified, some statements clarified, no change in the major claims and
results. Two new appendices
|
Nuclear Physics B Volume 958, September 2020, 115112
|
10.1016/j.nuclphysb.2020.115112
|
LMU--ASC 54/19, IPhT-T19/163, CPHT096.122019, MPP-2019-257, DESY
19-226
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The aim of this paper is to elucidate a close connection between the black
hole area law and the infinite distance conjecture in the context of the
swampland. We consider families of black hole geometries, parametrized by their
event horizon areas or by the values of their entropies, and show that the
infinite entropy limit is always at infinite distance in the space of black
hole geometries. It then follows from the infinite distance conjecture that
there must be a tower of states in the infinite entropy limit, and that
ignoring these towers on the horizon of the black hole would invalidate the
effective theory when the entropy becomes large. We call this the black hole
entropy distance conjecture. We then study two candidates for the tower of
states. The first are the Kaluza-Klein modes of the internal geometry of
extremal ${\cal N}=2$ black holes in string theory, whose masses on the horizon
are fixed by the ${\cal N}=2$ attractor formalism, and given in terms of the
black hole charges similarly to the entropy. However, we observe that it is
possible to decouple their masses from the entropy, so that they cannot
generically play the role of the tower. We thus consider a second kind of
states: inspired by N-portrait quantum models of non-extremal black holes, we
argue that the Goldstone-like modes that interpolate among the black hole
microstates behave like the expected light tower of states.
|
[
{
"created": "Mon, 16 Dec 2019 15:35:09 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Jan 2020 09:28:57 GMT",
"version": "v2"
},
{
"created": "Tue, 24 Mar 2020 15:01:46 GMT",
"version": "v3"
}
] |
2020-07-17
|
[
[
"Bonnefoy",
"Quentin",
""
],
[
"Ciambelli",
"Luca",
""
],
[
"Lust",
"Dieter",
""
],
[
"Lüst",
"Severin",
""
]
] |
The aim of this paper is to elucidate a close connection between the black hole area law and the infinite distance conjecture in the context of the swampland. We consider families of black hole geometries, parametrized by their event horizon areas or by the values of their entropies, and show that the infinite entropy limit is always at infinite distance in the space of black hole geometries. It then follows from the infinite distance conjecture that there must be a tower of states in the infinite entropy limit, and that ignoring these towers on the horizon of the black hole would invalidate the effective theory when the entropy becomes large. We call this the black hole entropy distance conjecture. We then study two candidates for the tower of states. The first are the Kaluza-Klein modes of the internal geometry of extremal ${\cal N}=2$ black holes in string theory, whose masses on the horizon are fixed by the ${\cal N}=2$ attractor formalism, and given in terms of the black hole charges similarly to the entropy. However, we observe that it is possible to decouple their masses from the entropy, so that they cannot generically play the role of the tower. We thus consider a second kind of states: inspired by N-portrait quantum models of non-extremal black holes, we argue that the Goldstone-like modes that interpolate among the black hole microstates behave like the expected light tower of states.
| 8.130714
| 8.298407
| 8.705822
| 7.878011
| 8.525187
| 8.816946
| 8.288398
| 8.493671
| 8.070284
| 9.928522
| 7.575639
| 7.914508
| 7.861531
| 7.742882
| 7.912642
| 7.761307
| 7.900846
| 7.851344
| 7.758182
| 7.933006
| 7.723064
|
2312.17393
|
Jorge Gamboa
|
B. Avila, J. Gamboa, R. B. MacKenzie, F. Mendez and M. B. Paranjape
|
Quintessence and the Higgs Portal in the Carroll limit
|
Several references were added. To appear in PLB
| null | null | null |
hep-th astro-ph.HE gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A cosmological model based on two scalar fields is proposed. The first of
these, $\varphi$, has mass $\mu$, while the second, $\chi$, is massless. The
pair are coupled through a ``Higgs portal''. First, we show how the model
reproduces the Friedmann equations if the square of the mass of the $\varphi$
field is proportional to the cosmological constant and $\chi$ represents the
quintessence field. Quantum corrections break the conformal symmetry, and the
$\chi$ field acquires a mass equal to $\sqrt{3g\Lambda}$. The perturbative
approach with $g\ll 1$ is consistent with the bounds for $m_\chi$; moreover, by
using dimensional analysis, we estimate $m_\chi \ll H_0\approx 10^{-33}$ eV,
which is in accordance with what is expected in the quintessence scenario. The
acceleration of the universe is proportional to $\chi^2$, we conclude that for
very long times, the solution of the equation of motion approaches $\langle
\chi\rangle \sim {m_\chi}/{{\sqrt\lambda}}$ and the universe continues to
accelerate, with a constant acceleration.
|
[
{
"created": "Thu, 28 Dec 2023 23:12:05 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Jan 2024 01:34:15 GMT",
"version": "v2"
},
{
"created": "Tue, 18 Jun 2024 18:46:54 GMT",
"version": "v3"
}
] |
2024-06-21
|
[
[
"Avila",
"B.",
""
],
[
"Gamboa",
"J.",
""
],
[
"MacKenzie",
"R. B.",
""
],
[
"Mendez",
"F.",
""
],
[
"Paranjape",
"M. B.",
""
]
] |
A cosmological model based on two scalar fields is proposed. The first of these, $\varphi$, has mass $\mu$, while the second, $\chi$, is massless. The pair are coupled through a ``Higgs portal''. First, we show how the model reproduces the Friedmann equations if the square of the mass of the $\varphi$ field is proportional to the cosmological constant and $\chi$ represents the quintessence field. Quantum corrections break the conformal symmetry, and the $\chi$ field acquires a mass equal to $\sqrt{3g\Lambda}$. The perturbative approach with $g\ll 1$ is consistent with the bounds for $m_\chi$; moreover, by using dimensional analysis, we estimate $m_\chi \ll H_0\approx 10^{-33}$ eV, which is in accordance with what is expected in the quintessence scenario. The acceleration of the universe is proportional to $\chi^2$, we conclude that for very long times, the solution of the equation of motion approaches $\langle \chi\rangle \sim {m_\chi}/{{\sqrt\lambda}}$ and the universe continues to accelerate, with a constant acceleration.
| 7.008358
| 7.757277
| 7.126058
| 6.978095
| 7.185474
| 7.524422
| 7.316544
| 7.143515
| 6.749995
| 7.059263
| 7.37178
| 7.078823
| 6.749544
| 6.700984
| 6.815794
| 6.888611
| 7.060693
| 6.749575
| 6.793973
| 6.759174
| 6.753949
|
1502.07049
|
Yu Nakayama
|
Yu Nakayama
|
Local renormalization group functions from quantum renormalization group
and holographic bulk locality
|
14 pages, v2: minor update
| null | null |
CALT-TH 2015-007
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The bulk locality in the constructive holographic renormalization group
requires miraculous cancellations among various local renormalization group
functions. The cancellation is not only from the properties of the spectrum but
from more detailed aspects of operator product expansions in relation to
conformal anomaly. It is remarkable that one-loop computation of the universal
local renormalization group functions in the weakly coupled limit of the
$\mathcal{N}=4$ super Yang-Mills theory fulfils the necessary condition for the
cancellation in the strongly coupled limit in its $SL(2,\mathbf{Z})$ duality
invariant form. From the consistency between the quantum renormalization group
and the holographic renormalization group, we determine some unexplored local
renormalization group functions (e.g. diffusive term in the beta function for
the gauge coupling constant) in the strongly coupled limit of the planar
$\mathcal{N}=4$ super Yang-Mills theory.
|
[
{
"created": "Wed, 25 Feb 2015 04:52:25 GMT",
"version": "v1"
},
{
"created": "Sat, 11 Apr 2015 20:41:01 GMT",
"version": "v2"
}
] |
2015-04-14
|
[
[
"Nakayama",
"Yu",
""
]
] |
The bulk locality in the constructive holographic renormalization group requires miraculous cancellations among various local renormalization group functions. The cancellation is not only from the properties of the spectrum but from more detailed aspects of operator product expansions in relation to conformal anomaly. It is remarkable that one-loop computation of the universal local renormalization group functions in the weakly coupled limit of the $\mathcal{N}=4$ super Yang-Mills theory fulfils the necessary condition for the cancellation in the strongly coupled limit in its $SL(2,\mathbf{Z})$ duality invariant form. From the consistency between the quantum renormalization group and the holographic renormalization group, we determine some unexplored local renormalization group functions (e.g. diffusive term in the beta function for the gauge coupling constant) in the strongly coupled limit of the planar $\mathcal{N}=4$ super Yang-Mills theory.
| 8.325055
| 8.718966
| 9.272716
| 8.300216
| 8.742252
| 9.179819
| 8.190125
| 8.499708
| 8.206583
| 9.070547
| 8.320989
| 8.02404
| 8.031807
| 8.279644
| 7.946389
| 8.150643
| 8.077239
| 7.978767
| 7.813045
| 8.46885
| 7.706017
|
hep-th/9904016
|
Yi Ling
|
Yi Ling and Lee Smolin
|
Supersymmetric Spin Networks and Quantum Supergravity
|
21 pages, LaTex, 22 figures, typos corrected and references completed
|
Phys.Rev. D61 (2000) 044008
|
10.1103/PhysRevD.61.044008
| null |
hep-th gr-qc
| null |
We define supersymmetric spin networks, which provide a complete set of gauge
invariant states for supergravity and supersymmetric gauge theories. The
particular case of Osp(1/2) is studied in detail and applied to the
non-perturbative quantization of supergravity. The supersymmetric extension of
the area operator is defined and partly diagonalized. The spectrum is discrete
as in quantum general relativity, and the two cases could be distinguished by
measurements of quantum geometry.
|
[
{
"created": "Fri, 2 Apr 1999 20:48:06 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Apr 1999 18:05:16 GMT",
"version": "v2"
},
{
"created": "Mon, 16 Aug 1999 20:12:29 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Ling",
"Yi",
""
],
[
"Smolin",
"Lee",
""
]
] |
We define supersymmetric spin networks, which provide a complete set of gauge invariant states for supergravity and supersymmetric gauge theories. The particular case of Osp(1/2) is studied in detail and applied to the non-perturbative quantization of supergravity. The supersymmetric extension of the area operator is defined and partly diagonalized. The spectrum is discrete as in quantum general relativity, and the two cases could be distinguished by measurements of quantum geometry.
| 9.533348
| 9.743853
| 9.293875
| 8.553174
| 9.50799
| 9.338647
| 11.440392
| 9.060863
| 8.465392
| 10.676496
| 9.359691
| 8.991415
| 8.989962
| 8.598075
| 9.155328
| 9.070212
| 9.089294
| 9.097594
| 9.013429
| 10.322511
| 8.774336
|
2111.06966
|
Andre Kuerten
|
Andr\'e Martorano Kuerten
|
Axion-fermion Coupling and Dyon Charge as Physical Signatures of a
Space-time Inner Symmetry
|
13 pages
|
Eur. Phys. J. Plus 138, 162 (2023)
|
10.1140/epjp/s13360-023-03758-z
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
In this paper we intend to complement the identification given in Kuerten &
Fernandes-Silva [1] (Mod. Phys. Lett. A. Vol. 33, No. 16) which relates the
axion to a metric spinor phase by means of Maxwell's theory in the Infeld-van
der Waerden's {\gamma}-formalism. Thus, we obtain two alternative
identifications: the first focuses on Dirac's theory so that when obtaining an
axion-like phase-fermion coupling, we achieve the first identification, and the
last one investigates the phase behavior under Peccei-Quinn rotations in order
to show that the phase changes as an axion pseudoparticle. With the formal
aspects established, we also study the semiclassical fermion-photon system to
demonstrate that the magnetic monopole current defined in [1] has dyon charge
in flat universe and acquires a Witten effect form when there is a demand for
chiral symmetry.
|
[
{
"created": "Sat, 23 Oct 2021 23:35:13 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Feb 2022 20:17:21 GMT",
"version": "v2"
},
{
"created": "Fri, 3 Feb 2023 07:23:15 GMT",
"version": "v3"
}
] |
2023-02-22
|
[
[
"Kuerten",
"André Martorano",
""
]
] |
In this paper we intend to complement the identification given in Kuerten & Fernandes-Silva [1] (Mod. Phys. Lett. A. Vol. 33, No. 16) which relates the axion to a metric spinor phase by means of Maxwell's theory in the Infeld-van der Waerden's {\gamma}-formalism. Thus, we obtain two alternative identifications: the first focuses on Dirac's theory so that when obtaining an axion-like phase-fermion coupling, we achieve the first identification, and the last one investigates the phase behavior under Peccei-Quinn rotations in order to show that the phase changes as an axion pseudoparticle. With the formal aspects established, we also study the semiclassical fermion-photon system to demonstrate that the magnetic monopole current defined in [1] has dyon charge in flat universe and acquires a Witten effect form when there is a demand for chiral symmetry.
| 22.308542
| 24.667585
| 22.152153
| 20.740459
| 23.122976
| 24.812925
| 23.737438
| 20.865959
| 22.323866
| 22.759369
| 22.951872
| 20.494272
| 20.840225
| 20.254566
| 19.807985
| 20.611666
| 20.903219
| 19.879332
| 20.706097
| 20.98044
| 20.094465
|
2308.15525
|
Andreas Schachner
|
Sven Krippendorf and Andreas Schachner
|
New non-supersymmetric flux vacua in string theory
|
10 pages, 4 figures
| null | null |
LMU-ASC 30/23
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note we construct large ensembles of supersymmetry breaking solutions
arising in the context of flux compactifications of type IIB string theory.
This class of solutions was previously proposed in arXiv:hep-th/0402135 for
which we provide the first explicit examples in Calabi-Yau orientifold
compactifications with discrete fluxes below their respective tadpole
constraint. As a proof of concept, we study the degree 18 hypersurface in
weighted projective space $\mathbb{CP}_{1,1,1,6,9}$. Furthermore, we look at 10
additional orientifolds with $h^{1,2}=2,3$. We find several flux vacua with
hierarchical suppression of the vacuum energy with respect to the gravitino
mass. These solutions provide a crucial stepping stone for the construction of
explicit de Sitter vacua in string theory. Lastly, we also report the
difference in the distribution of $W_0$ between supersymmetric and
non-supersymmetric minima.
|
[
{
"created": "Tue, 29 Aug 2023 18:00:01 GMT",
"version": "v1"
}
] |
2023-08-31
|
[
[
"Krippendorf",
"Sven",
""
],
[
"Schachner",
"Andreas",
""
]
] |
In this note we construct large ensembles of supersymmetry breaking solutions arising in the context of flux compactifications of type IIB string theory. This class of solutions was previously proposed in arXiv:hep-th/0402135 for which we provide the first explicit examples in Calabi-Yau orientifold compactifications with discrete fluxes below their respective tadpole constraint. As a proof of concept, we study the degree 18 hypersurface in weighted projective space $\mathbb{CP}_{1,1,1,6,9}$. Furthermore, we look at 10 additional orientifolds with $h^{1,2}=2,3$. We find several flux vacua with hierarchical suppression of the vacuum energy with respect to the gravitino mass. These solutions provide a crucial stepping stone for the construction of explicit de Sitter vacua in string theory. Lastly, we also report the difference in the distribution of $W_0$ between supersymmetric and non-supersymmetric minima.
| 7.586201
| 7.26298
| 8.816335
| 7.295322
| 7.600089
| 7.331766
| 7.536194
| 7.040374
| 7.43259
| 8.628208
| 7.342041
| 7.176262
| 7.456535
| 7.263927
| 7.290956
| 7.267311
| 7.292342
| 7.21752
| 7.285228
| 7.46174
| 7.359465
|
1101.4020
|
Francois Dehouck
|
Fran\c{c}ois Dehouck
|
Gravitational duality in General Relativity and Supergravity theories
|
2 pages, contribution to the Cargese 2010 proceedings: Theory and
Particle Physics: the LHC perspective and beyond
|
Nucl.Phys.Proc.Suppl.216:223-224,2011
|
10.1016/j.nuclphysbps.2011.04.161
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We quickly review the current status of gravitational duality in General
Relativity. We summarize and comment some recent work on constructing dual
(topological) charges and understanding how this duality acts in supergravity
theories.
|
[
{
"created": "Thu, 20 Jan 2011 21:00:02 GMT",
"version": "v1"
}
] |
2011-07-26
|
[
[
"Dehouck",
"François",
""
]
] |
We quickly review the current status of gravitational duality in General Relativity. We summarize and comment some recent work on constructing dual (topological) charges and understanding how this duality acts in supergravity theories.
| 23.610329
| 16.450375
| 20.546228
| 19.942743
| 21.634325
| 19.166819
| 18.532728
| 19.054668
| 18.480068
| 22.344862
| 18.596712
| 18.654659
| 21.552309
| 19.980049
| 20.732798
| 20.249302
| 19.313456
| 20.121254
| 19.513655
| 21.684923
| 18.858572
|
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