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2024-08-16 00:00:00
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2.01k
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|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1708.01103
|
Chris White
|
Pieter-Jan De Smet and Chris D. White
|
Extended solutions for the biadjoint scalar field
|
11 pages, 2 figures
| null |
10.1016/j.physletb.2017.11.007
|
QMUL-PH-17-14
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Biadjoint scalar field theories are increasingly important in the study of
scattering amplitudes in various string and field theories. Recently, some
first exact nonperturbative solutions of biadjoint scalar theory were
presented, with a pure power-like form corresponding to isolated monopole-like
objects located at the origin of space. In this paper, we find a novel family
of extended solutions, involving non-trivial form factors that partially screen
the divergent field at the origin. All previous solutions emerge as special
cases.
|
[
{
"created": "Thu, 3 Aug 2017 11:32:44 GMT",
"version": "v1"
}
] |
2017-12-06
|
[
[
"De Smet",
"Pieter-Jan",
""
],
[
"White",
"Chris D.",
""
]
] |
Biadjoint scalar field theories are increasingly important in the study of scattering amplitudes in various string and field theories. Recently, some first exact nonperturbative solutions of biadjoint scalar theory were presented, with a pure power-like form corresponding to isolated monopole-like objects located at the origin of space. In this paper, we find a novel family of extended solutions, involving non-trivial form factors that partially screen the divergent field at the origin. All previous solutions emerge as special cases.
| 13.34199
| 11.227535
| 12.807384
| 11.474325
| 11.399032
| 11.163437
| 10.942306
| 10.955141
| 11.381462
| 13.774275
| 10.539658
| 10.681832
| 12.02363
| 11.079054
| 11.327128
| 11.046684
| 11.348071
| 11.101655
| 11.425066
| 11.990926
| 11.589317
|
0705.3212
|
Douglas Hoover
|
C.P. Burgess, D. Hoover, G. Tasinato
|
UV Caps and Modulus Stabilization for 6D Gauged Chiral Supergravity
|
34 pages. Typos corrected, references added. Matches published
version
|
JHEP 0709:124,2007
|
10.1088/1126-6708/2007/09/124
| null |
hep-th
| null |
We describe an explicit UV regularization of the brane singularities for all
4D flat configurations of 6D gauged chiral supergravity compactified on axially
symmetric internal spaces (for which the general solutions are known). All such
solutions have two or fewer co-dimension two singularities, which we resolve in
terms of microscopic co-dimension one cylindrical 4-branes, whose interiors are
capped using the most general possible 4D flat solution of the 6D field
equations. By so doing we show that such a cap is always possible for any given
bulk geometry, and obtain an explicit relationship between the properties of
the capped 4-branes and the various parameters which describe the bulk
solution. We show how these branes generically stabilize the size of the extra
dimensions by breaking the scale invariance which relates classical solutions
to 6D supergravity, and we compute the scalar potential for this modulus in the
4D effective theory. The lifting of this marginal direction provides a natural
realization of the Goldberger-Wise stabilization mechanism in six dimensions.
|
[
{
"created": "Tue, 22 May 2007 16:43:04 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Sep 2007 00:18:03 GMT",
"version": "v2"
}
] |
2010-05-12
|
[
[
"Burgess",
"C. P.",
""
],
[
"Hoover",
"D.",
""
],
[
"Tasinato",
"G.",
""
]
] |
We describe an explicit UV regularization of the brane singularities for all 4D flat configurations of 6D gauged chiral supergravity compactified on axially symmetric internal spaces (for which the general solutions are known). All such solutions have two or fewer co-dimension two singularities, which we resolve in terms of microscopic co-dimension one cylindrical 4-branes, whose interiors are capped using the most general possible 4D flat solution of the 6D field equations. By so doing we show that such a cap is always possible for any given bulk geometry, and obtain an explicit relationship between the properties of the capped 4-branes and the various parameters which describe the bulk solution. We show how these branes generically stabilize the size of the extra dimensions by breaking the scale invariance which relates classical solutions to 6D supergravity, and we compute the scalar potential for this modulus in the 4D effective theory. The lifting of this marginal direction provides a natural realization of the Goldberger-Wise stabilization mechanism in six dimensions.
| 11.23133
| 11.722518
| 11.95682
| 10.605637
| 11.574924
| 12.046421
| 11.520122
| 11.162787
| 10.503002
| 12.733553
| 11.035871
| 10.733633
| 11.257541
| 11.031915
| 11.058452
| 10.656827
| 10.85948
| 10.936576
| 10.475878
| 10.976535
| 10.568173
|
1812.06093
|
Natalia Pinzani Fokeeva
|
Jan de Boer, Michal P. Heller, Natalia Pinzani-Fokeeva
|
Holographic Schwinger-Keldysh effective field theories
|
43 pages, 3 figures, v2: presentation improved, reference added
| null |
10.1007/JHEP05(2019)188
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We construct a holographic dual of the Schwinger-Keldysh effective action for
the dissipative low-energy dynamics of relativistic charged matter at strong
coupling in a fixed thermal background. To do so, we use a mixed signature bulk
spacetime whereby an eternal asymptotically anti-de Sitter black hole is glued
to its Euclidean counterpart along an initial time slice in a way to match the
desired double-time contour of the dual field theory. Our results are
consistent with existing literature and can be regarded as a fully-ab initio
derivation of a Schwinger-Keldysh effective action. In addition, we provide a
simple infrared effective action for the near horizon region that drives all
the dissipation and can be viewed as an alternative to the membrane paradigm
approximation.
|
[
{
"created": "Fri, 14 Dec 2018 19:00:00 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Mar 2019 11:33:33 GMT",
"version": "v2"
}
] |
2019-06-26
|
[
[
"de Boer",
"Jan",
""
],
[
"Heller",
"Michal P.",
""
],
[
"Pinzani-Fokeeva",
"Natalia",
""
]
] |
We construct a holographic dual of the Schwinger-Keldysh effective action for the dissipative low-energy dynamics of relativistic charged matter at strong coupling in a fixed thermal background. To do so, we use a mixed signature bulk spacetime whereby an eternal asymptotically anti-de Sitter black hole is glued to its Euclidean counterpart along an initial time slice in a way to match the desired double-time contour of the dual field theory. Our results are consistent with existing literature and can be regarded as a fully-ab initio derivation of a Schwinger-Keldysh effective action. In addition, we provide a simple infrared effective action for the near horizon region that drives all the dissipation and can be viewed as an alternative to the membrane paradigm approximation.
| 9.686755
| 10.90128
| 11.286689
| 9.51816
| 9.781731
| 10.371778
| 10.485577
| 10.087687
| 9.346135
| 11.90561
| 9.318836
| 9.266391
| 9.854753
| 9.355113
| 9.293423
| 9.642131
| 9.326925
| 9.586101
| 9.305859
| 9.820881
| 9.192462
|
hep-th/0008085
|
Boos Herman
|
Herman Boos, Vladimir Mangazeev
|
Some exact results for the three-layer Zamolodchikov model
|
LaTeX, 27 pages, 9 figures
|
Nucl.Phys. B592 (2001) 597-626
|
10.1016/S0550-3213(00)00619-2
| null |
hep-th
| null |
In this paper we continue the study of the three-layer Zamolodchikov model
started in our previous works. We analyse numerically the solutions to the
Bethe ansatz equations. We consider two regimes I and II which differ by the
signs of the spherical sides (a1,a2,a3)->(-a1,-a2,-a3). We accept the two-line
hypothesis for the regime I and the one-line hypothesis for the regime II. In
the thermodynamic limit we derive integral equations for distribution densities
and solve them exactly. We calculate the partition function for the three-layer
Zamolodchikov model and check a compatibility of this result with the
functional relations. We also do some numerical checkings of our results.
|
[
{
"created": "Thu, 10 Aug 2000 13:25:21 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Boos",
"Herman",
""
],
[
"Mangazeev",
"Vladimir",
""
]
] |
In this paper we continue the study of the three-layer Zamolodchikov model started in our previous works. We analyse numerically the solutions to the Bethe ansatz equations. We consider two regimes I and II which differ by the signs of the spherical sides (a1,a2,a3)->(-a1,-a2,-a3). We accept the two-line hypothesis for the regime I and the one-line hypothesis for the regime II. In the thermodynamic limit we derive integral equations for distribution densities and solve them exactly. We calculate the partition function for the three-layer Zamolodchikov model and check a compatibility of this result with the functional relations. We also do some numerical checkings of our results.
| 8.434834
| 9.052147
| 8.857615
| 8.186634
| 8.43372
| 9.159665
| 8.451582
| 8.293712
| 8.286965
| 8.681715
| 8.32229
| 7.766749
| 8.476441
| 7.842339
| 8.148315
| 7.762478
| 8.159819
| 7.848297
| 7.897641
| 8.17545
| 7.99714
|
1909.08075
|
Abdulmajeed Abdurrahman
|
A Abdurrahman
|
Ward-like Operator in the comma theory
|
17 pages
|
IJRDO-Journal of Mathematics, Vol. 5, Issue 8, 08/2019
| null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The construction of the Ward-like operator of the interacting string field
theory presented by Witten, in terms of the half-string (comma) oscillator
modes, is completed.
|
[
{
"created": "Thu, 12 Sep 2019 20:52:36 GMT",
"version": "v1"
}
] |
2019-09-19
|
[
[
"Abdurrahman",
"A",
""
]
] |
The construction of the Ward-like operator of the interacting string field theory presented by Witten, in terms of the half-string (comma) oscillator modes, is completed.
| 44.348438
| 30.578478
| 28.955414
| 30.428293
| 25.84659
| 25.952763
| 30.978596
| 33.254463
| 31.621346
| 54.929581
| 26.21554
| 31.629633
| 36.84623
| 32.371517
| 31.857185
| 29.958561
| 29.694372
| 30.677029
| 31.909615
| 39.883869
| 29.463438
|
hep-th/0005208
|
Adi Armoni
|
Adi Armoni (Ecole Polytechnique)
|
Comments on Perturbative Dynamics of Non-Commutative Yang-Mills Theory
|
19 pages, Latex. 4 figures. v2: minor changes, refs. added. To appear
in Nucl.Phys.B
|
Nucl.Phys. B593 (2001) 229-242
|
10.1016/S0550-3213(00)00557-5
|
CPTH-S055.0500
|
hep-th
| null |
We study the U(N) non-commutative Yang-Mills theory at the one-loop
approximation. We check renormalizability and gauge invariance of the model and
calculate the one-loop beta function. The interaction of the SU(N) gauge bosons
with the U(1) gauge boson plays an important role in the consistency check. In
particular, the SU(N) theory by itself is not consistent. We also find that the
theta --> 0 limit of the U(N) theory does not converge to the ordinary SU(N) x
U(1) commutative theory, even at the planar limit. Finally, we comment on the
UV/IR mixing.
|
[
{
"created": "Tue, 23 May 2000 15:33:31 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Sep 2000 15:03:34 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Armoni",
"Adi",
"",
"Ecole Polytechnique"
]
] |
We study the U(N) non-commutative Yang-Mills theory at the one-loop approximation. We check renormalizability and gauge invariance of the model and calculate the one-loop beta function. The interaction of the SU(N) gauge bosons with the U(1) gauge boson plays an important role in the consistency check. In particular, the SU(N) theory by itself is not consistent. We also find that the theta --> 0 limit of the U(N) theory does not converge to the ordinary SU(N) x U(1) commutative theory, even at the planar limit. Finally, we comment on the UV/IR mixing.
| 6.378178
| 5.347005
| 6.369298
| 5.469224
| 5.869195
| 5.77891
| 5.208781
| 5.526231
| 5.383161
| 6.688252
| 5.385396
| 5.648829
| 6.06785
| 5.830724
| 5.89619
| 5.765274
| 5.764558
| 5.722495
| 5.771605
| 6.319688
| 5.800437
|
hep-th/9905001
|
Chopin Soo
|
Lay Nam Chang and Chopin Soo
|
Massive torsion modes from Adler-Bell-Jackiw and scaling anomalies
|
12 pages, revtex file
| null | null |
NSC-CTS-990401
|
hep-th gr-qc
| null |
Regularization of quantum field theories introduces a mass scale which breaks
axial rotational and scaling invariances. We demonstrate from first principles
that axial torsion and torsion trace modes have non-transverse vacuum
polarization tensors, and become massive as a result. The underlying reasons
are similar to those responsible for the Adler-Bell-Jackiw (ABJ) and scaling
anomalies. Since these are the only torsion components that can couple
minimally to spin 1/2 particles, the anomalous generation of masses for these
modes, naturally of the order of the regulator scale, may help to explain why
torsion and its associated effects, including CPT violation in chiral gravity,
have so far escaped detection. As a simpler manifestation of the reasons
underpinning the ABJ anomaly than triangle diagrams, the vacuum polarization
demonstration is also pedagogically useful.
|
[
{
"created": "Sat, 1 May 1999 12:31:25 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Jan 2000 06:04:58 GMT",
"version": "v2"
},
{
"created": "Fri, 20 Apr 2001 09:01:18 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Chang",
"Lay Nam",
""
],
[
"Soo",
"Chopin",
""
]
] |
Regularization of quantum field theories introduces a mass scale which breaks axial rotational and scaling invariances. We demonstrate from first principles that axial torsion and torsion trace modes have non-transverse vacuum polarization tensors, and become massive as a result. The underlying reasons are similar to those responsible for the Adler-Bell-Jackiw (ABJ) and scaling anomalies. Since these are the only torsion components that can couple minimally to spin 1/2 particles, the anomalous generation of masses for these modes, naturally of the order of the regulator scale, may help to explain why torsion and its associated effects, including CPT violation in chiral gravity, have so far escaped detection. As a simpler manifestation of the reasons underpinning the ABJ anomaly than triangle diagrams, the vacuum polarization demonstration is also pedagogically useful.
| 13.637569
| 7.855656
| 13.803357
| 10.549874
| 8.802418
| 8.351719
| 8.160496
| 8.458273
| 9.77858
| 14.041522
| 10.482635
| 12.378354
| 13.028744
| 12.484694
| 12.326544
| 12.388998
| 11.985052
| 11.756023
| 12.240998
| 13.090225
| 12.372419
|
2302.00498
|
Marcos Skowronek
|
N. E. J. Bjerrum-Bohr, Gang Chen, Marcos Skowronek
|
Classical Spin Gravitational Compton Scattering
|
To be published in JHEP
| null |
10.1007/JHEP06(2023)170
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We introduce a novel bootstrap method for classical Compton scattering
amplitudes involving two massless gluon/graviton particles and two
arbitrary-spin infinite-mass particles in a heavy-mass effective field theory
context. Using a suitable ansatz, we deduce new and explicit classical spin
results for gluon four and five-point infinite mass processes that exhibit
exponentiated three-point factorizations to all orders in spin and feature no
spurious poles. We discuss the generalization of our bootstrap to higher
multiplicities and summarize future potential applications.
|
[
{
"created": "Wed, 1 Feb 2023 15:08:52 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Jun 2023 09:30:30 GMT",
"version": "v2"
}
] |
2023-07-12
|
[
[
"Bjerrum-Bohr",
"N. E. J.",
""
],
[
"Chen",
"Gang",
""
],
[
"Skowronek",
"Marcos",
""
]
] |
We introduce a novel bootstrap method for classical Compton scattering amplitudes involving two massless gluon/graviton particles and two arbitrary-spin infinite-mass particles in a heavy-mass effective field theory context. Using a suitable ansatz, we deduce new and explicit classical spin results for gluon four and five-point infinite mass processes that exhibit exponentiated three-point factorizations to all orders in spin and feature no spurious poles. We discuss the generalization of our bootstrap to higher multiplicities and summarize future potential applications.
| 27.406189
| 23.618893
| 24.469147
| 19.426378
| 20.009291
| 22.302721
| 20.243954
| 22.118025
| 23.549608
| 27.05444
| 21.863789
| 21.814936
| 23.29788
| 20.863253
| 20.729689
| 21.88566
| 21.193197
| 20.644609
| 20.746153
| 21.853994
| 21.458128
|
hep-th/9307014
|
Damiano Anselmi
|
Damiano Anselmi
|
Covariant Pauli-Villars Regularization of Quantum Gravity at the One
Loop Order
|
26 pages, LaTeX, SISSA/ISAS 73/93/EP
|
Phys.Rev. D48 (1993) 5751-5763
|
10.1103/PhysRevD.48.5751
| null |
hep-th
| null |
We study a regularization of the Pauli-Villars kind of the one loop
gravitational divergences in any dimension. The Pauli-Villars fields are
massive particles coupled to gravity in a covariant and nonminimal way, namely
one real tensor and one complex vector. The gauge is fixed by means of the
unusual gauge-fixing that gives the same effective action as in the context of
the background field method. Indeed, with the background field method it is
simple to see that the regularization effectively works. On the other hand, we
show that in the usual formalism (non background) the regularization cannot
work with each gauge-fixing.In particular, it does not work with the usual one.
Moreover, we show that, under a suitable choice of the Pauli-Villars
coefficients, the terms divergent in the Pauli-Villars masses can be corrected
by the Pauli-Villars fields themselves. In dimension four, there is no need to
add counterterms quadratic in the curvature tensor to the Einstein action
(which would be equivalent to the introduction of new coupling constants). The
technique also works when matter is coupled to gravity. We discuss the possible
consequences of this approach, in particular the renormalization of Newton's
coupling constant and the appearance of two parameters in the effective action,
that seem to have physical implications.
|
[
{
"created": "Fri, 2 Jul 1993 12:01:54 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Anselmi",
"Damiano",
""
]
] |
We study a regularization of the Pauli-Villars kind of the one loop gravitational divergences in any dimension. The Pauli-Villars fields are massive particles coupled to gravity in a covariant and nonminimal way, namely one real tensor and one complex vector. The gauge is fixed by means of the unusual gauge-fixing that gives the same effective action as in the context of the background field method. Indeed, with the background field method it is simple to see that the regularization effectively works. On the other hand, we show that in the usual formalism (non background) the regularization cannot work with each gauge-fixing.In particular, it does not work with the usual one. Moreover, we show that, under a suitable choice of the Pauli-Villars coefficients, the terms divergent in the Pauli-Villars masses can be corrected by the Pauli-Villars fields themselves. In dimension four, there is no need to add counterterms quadratic in the curvature tensor to the Einstein action (which would be equivalent to the introduction of new coupling constants). The technique also works when matter is coupled to gravity. We discuss the possible consequences of this approach, in particular the renormalization of Newton's coupling constant and the appearance of two parameters in the effective action, that seem to have physical implications.
| 7.853354
| 8.550393
| 8.407353
| 8.189591
| 8.403746
| 8.407969
| 8.057846
| 8.251215
| 8.03559
| 8.371736
| 7.601188
| 7.878798
| 7.961146
| 7.894891
| 7.767918
| 7.878718
| 7.75566
| 7.795458
| 7.765608
| 7.757294
| 7.687535
|
1110.3682
|
Sergio Giardino
|
Sergio Giardino
|
Divergent energy strings in $AdS_5\times S^5$ with three angular momenta
| null |
JHEP 1112 (2011) 022
|
10.1007/JHEP12(2011)022
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, novel solutions for strings with three angular momenta in
$AdS_5 \times S^5$ geometry are presented; the divergent energy limit and the
corresponding conserved charges, as well as dispersion relation are also
determined. Interpretations of these configurations as either a giant magnon
(GM) or a spiky string (SS) are discussed.
|
[
{
"created": "Mon, 17 Oct 2011 14:41:06 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Dec 2011 00:10:23 GMT",
"version": "v2"
}
] |
2011-12-15
|
[
[
"Giardino",
"Sergio",
""
]
] |
In this paper, novel solutions for strings with three angular momenta in $AdS_5 \times S^5$ geometry are presented; the divergent energy limit and the corresponding conserved charges, as well as dispersion relation are also determined. Interpretations of these configurations as either a giant magnon (GM) or a spiky string (SS) are discussed.
| 12.285873
| 8.872708
| 12.12782
| 8.699186
| 8.088628
| 8.707759
| 8.397962
| 7.90711
| 8.467202
| 12.545514
| 9.525511
| 8.683858
| 10.699273
| 9.474334
| 9.011028
| 8.878323
| 8.903984
| 9.685659
| 9.442064
| 11.274629
| 10.039113
|
1808.00713
|
Oliver Schnetz
|
Oliver Schlotterer, Oliver Schnetz
|
Closed strings as single-valued open strings: A genus-zero derivation
|
19 pages
| null |
10.1088/1751-8121/aaea14
| null |
hep-th math.NT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Based on general mathematical assumptions we give an independent, elementary
derivation of a theorem by Francis Brown and Cl\'ement Dupont which states that
tree-level amplitudes of closed and open strings are related through the
single-valued map `sv'. This relation can be traced back to the underlying
moduli-space integrals over punctured Riemann surfaces of genus zero. The
sphere integrals $J$ in closed-string amplitudes and the disk integrals $Z$ in
open-string amplitudes are shown to obey $J = {\rm sv} \, Z$.
|
[
{
"created": "Thu, 2 Aug 2018 08:52:59 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Oct 2018 08:23:38 GMT",
"version": "v2"
}
] |
2019-01-30
|
[
[
"Schlotterer",
"Oliver",
""
],
[
"Schnetz",
"Oliver",
""
]
] |
Based on general mathematical assumptions we give an independent, elementary derivation of a theorem by Francis Brown and Cl\'ement Dupont which states that tree-level amplitudes of closed and open strings are related through the single-valued map `sv'. This relation can be traced back to the underlying moduli-space integrals over punctured Riemann surfaces of genus zero. The sphere integrals $J$ in closed-string amplitudes and the disk integrals $Z$ in open-string amplitudes are shown to obey $J = {\rm sv} \, Z$.
| 9.866123
| 8.139679
| 11.137504
| 8.705369
| 8.412802
| 9.237719
| 8.475623
| 9.593154
| 9.117069
| 12.304418
| 8.447186
| 8.576062
| 8.759894
| 8.455246
| 8.456551
| 8.764524
| 8.315918
| 8.404642
| 8.35038
| 9.039976
| 8.425538
|
hep-th/9405172
|
Philip Gibbs
|
P. E. Gibbs
|
Event Symmetric Open String Field Theory
|
7 pages, TeX, PEG-02-94
| null | null | null |
hep-th
| null |
Field Theory on Event Symmetric space-time is constructed using the gauge
group of discrete open strings. Models with invariant actions can be viewed as
natural extensions of Matrix Models. The objective is to find a fundamental
non-perturbative pre-theory for superstrings.
|
[
{
"created": "Thu, 26 May 1994 11:56:59 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Gibbs",
"P. E.",
""
]
] |
Field Theory on Event Symmetric space-time is constructed using the gauge group of discrete open strings. Models with invariant actions can be viewed as natural extensions of Matrix Models. The objective is to find a fundamental non-perturbative pre-theory for superstrings.
| 43.271244
| 38.784817
| 37.913593
| 33.497005
| 41.146721
| 37.203297
| 30.463802
| 34.340034
| 29.424694
| 42.698029
| 29.922461
| 31.939602
| 38.868027
| 32.844383
| 33.132305
| 30.086523
| 37.013683
| 34.799931
| 35.756706
| 33.245861
| 31.736172
|
hep-th/0607069
|
Arjan Keurentjes
|
Arjan Keurentjes
|
Determining the dual
|
39 pages, Latex, 8 figures
| null | null | null |
hep-th
| null |
We study the R -> 0 limit for heterotic strings of either kind (Spin(32)/Z_2
or E_8 x E_8) compactified on a circle, in the presence of an arbitrary Wilson
line. Though for generic Wilson line this limit leads to chaotic behaviour,
there are two distinguished, countable subsets of Wilson lines, that are dense
in the total space of Wilson lines: One subset leads to decompactification
limits; a second subset converges onto periodic orbits. Many of the
implications carry over to heterotic strings on a circle of small but finite
radius. To complete the picture, we discuss global aspects of the moduli-space,
compare it with the ``fiducial'' moduli-space for type I strings on a circle,
give a derivation of the map between the moduli of the two heterotic string
theories on a circle at an arbitrary point in the moduli space, and compute the
smallest radius that can be probed.
|
[
{
"created": "Tue, 11 Jul 2006 13:19:30 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Keurentjes",
"Arjan",
""
]
] |
We study the R -> 0 limit for heterotic strings of either kind (Spin(32)/Z_2 or E_8 x E_8) compactified on a circle, in the presence of an arbitrary Wilson line. Though for generic Wilson line this limit leads to chaotic behaviour, there are two distinguished, countable subsets of Wilson lines, that are dense in the total space of Wilson lines: One subset leads to decompactification limits; a second subset converges onto periodic orbits. Many of the implications carry over to heterotic strings on a circle of small but finite radius. To complete the picture, we discuss global aspects of the moduli-space, compare it with the ``fiducial'' moduli-space for type I strings on a circle, give a derivation of the map between the moduli of the two heterotic string theories on a circle at an arbitrary point in the moduli space, and compute the smallest radius that can be probed.
| 11.11065
| 10.472153
| 11.545236
| 10.02292
| 11.572397
| 11.445762
| 10.813984
| 10.07704
| 10.670358
| 12.170441
| 10.278644
| 10.291913
| 11.207451
| 10.40449
| 10.745015
| 10.592812
| 10.626803
| 10.401844
| 10.490067
| 10.995344
| 10.388891
|
2312.03541
|
Gustavo Valdivia-Mera
|
Abhijit Chakraborty, Carlos R. Ord\'o\~nez and Gustavo Valdivia-Mera
|
Path integral derivation of the thermofield double state in causal
diamonds
|
14 pages, 6 figures
| null | null | null |
hep-th gr-qc math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this article, we follow the framework given in the article {\it Physica
A}, \textbf{158}, pg 58-63 (1989) by R. Laflamme to derive the thermofield
double state for a causal diamond using the Euclidean path integral formalism,
and subsequently derive the causal diamond temperature. The interpretation of
the physical and fictitious system in the thermofield double state arises
naturally from the boundary conditions of the fields defined on the Euclidean
sections of the cylindrical background geometry $S^{1}_{\beta}\times
\mathbb{R}$, where $\beta$ defines the periodicity of the Euclidean time
coordinate and $S^{1}_{\beta}$ is a circumference of length $\beta$. The
temperature detected by a static diamond observer at $x=0$ matches with the
thermofield double temperature derived via this path integral procedure.
|
[
{
"created": "Wed, 6 Dec 2023 15:10:25 GMT",
"version": "v1"
},
{
"created": "Thu, 30 May 2024 02:25:28 GMT",
"version": "v2"
}
] |
2024-05-31
|
[
[
"Chakraborty",
"Abhijit",
""
],
[
"Ordóñez",
"Carlos R.",
""
],
[
"Valdivia-Mera",
"Gustavo",
""
]
] |
In this article, we follow the framework given in the article {\it Physica A}, \textbf{158}, pg 58-63 (1989) by R. Laflamme to derive the thermofield double state for a causal diamond using the Euclidean path integral formalism, and subsequently derive the causal diamond temperature. The interpretation of the physical and fictitious system in the thermofield double state arises naturally from the boundary conditions of the fields defined on the Euclidean sections of the cylindrical background geometry $S^{1}_{\beta}\times \mathbb{R}$, where $\beta$ defines the periodicity of the Euclidean time coordinate and $S^{1}_{\beta}$ is a circumference of length $\beta$. The temperature detected by a static diamond observer at $x=0$ matches with the thermofield double temperature derived via this path integral procedure.
| 9.896166
| 9.732687
| 9.632161
| 8.600747
| 8.830134
| 8.853791
| 9.005858
| 8.857845
| 8.518147
| 10.394324
| 8.634928
| 8.195201
| 8.588065
| 8.644322
| 8.410542
| 8.292606
| 8.291054
| 8.356662
| 8.608846
| 8.995232
| 8.436954
|
1605.05565
|
Lavinia Heisenberg
|
Lavinia Heisenberg, Ryotaro Kase and Shinji Tsujikawa
|
Beyond generalized Proca theories
|
12 pages, journal version
|
Phys.Lett. B760 (2016) 617-626
|
10.1016/j.physletb.2016.07.052
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider higher-order derivative interactions beyond second-order
generalized Proca theories that propagate only the three desired polarizations
of a massive vector field besides the two tensor polarizations from gravity.
These new interactions follow the similar construction criteria to those
arising in the extension of scalar-tensor Horndeski theories to
Gleyzes-Langlois-Piazza-Vernizzi (GLPV) theories. On the isotropic cosmological
background, we show the existence of a constraint with a vanishing Hamiltonian
that removes the would-be Ostrogradski ghost. We study the behavior of linear
perturbations on top of the isotropic cosmological background in the presence
of a matter perfect fluid and find the same number of propagating degrees of
freedom as in generalized Proca theories (two tensor polarizations, two
transverse vector modes, and two scalar modes). Moreover, we obtain the
conditions for the avoidance of ghosts and Laplacian instabilities of tensor,
vector, and scalar perturbations. We observe key differences in the scalar
sound speed, which is mixed with the matter sound speed outside the domain of
generalized Proca theories.
|
[
{
"created": "Wed, 18 May 2016 13:01:05 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Aug 2016 17:01:01 GMT",
"version": "v2"
}
] |
2016-08-16
|
[
[
"Heisenberg",
"Lavinia",
""
],
[
"Kase",
"Ryotaro",
""
],
[
"Tsujikawa",
"Shinji",
""
]
] |
We consider higher-order derivative interactions beyond second-order generalized Proca theories that propagate only the three desired polarizations of a massive vector field besides the two tensor polarizations from gravity. These new interactions follow the similar construction criteria to those arising in the extension of scalar-tensor Horndeski theories to Gleyzes-Langlois-Piazza-Vernizzi (GLPV) theories. On the isotropic cosmological background, we show the existence of a constraint with a vanishing Hamiltonian that removes the would-be Ostrogradski ghost. We study the behavior of linear perturbations on top of the isotropic cosmological background in the presence of a matter perfect fluid and find the same number of propagating degrees of freedom as in generalized Proca theories (two tensor polarizations, two transverse vector modes, and two scalar modes). Moreover, we obtain the conditions for the avoidance of ghosts and Laplacian instabilities of tensor, vector, and scalar perturbations. We observe key differences in the scalar sound speed, which is mixed with the matter sound speed outside the domain of generalized Proca theories.
| 6.971303
| 7.200281
| 6.863278
| 6.658563
| 7.061618
| 7.031859
| 7.316018
| 6.403487
| 7.217884
| 7.320842
| 6.83515
| 6.969789
| 6.866001
| 6.600678
| 6.91456
| 6.735573
| 6.869171
| 6.503121
| 6.859723
| 6.812208
| 6.76365
|
hep-th/0205295
|
Riccardo Argurio
|
Riccardo Argurio, Vanicson L. Campos, Gabriele Ferretti, Rainer Heise
|
Freezing of Moduli with Fluxes in Three Dimensions
|
20 pages, LaTeX
|
Nucl.Phys. B640 (2002) 351-366
|
10.1016/S0550-3213(02)00587-4
| null |
hep-th
| null |
We study warped compactifications to three dimensions, realized as an
orientifold of type IIA string theory on T^7. By turning on 3- and 4-form
fluxes on the torus in a supersymmetric way, we generate a potential for the
moduli fields. We present various flux configurations with N=1,2,3,4,5,6
supersymmetries and count the number of moduli in each case. In particular, we
show that there are N=1 configurations where all but one of the moduli are
frozen.
|
[
{
"created": "Wed, 29 May 2002 15:04:29 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Argurio",
"Riccardo",
""
],
[
"Campos",
"Vanicson L.",
""
],
[
"Ferretti",
"Gabriele",
""
],
[
"Heise",
"Rainer",
""
]
] |
We study warped compactifications to three dimensions, realized as an orientifold of type IIA string theory on T^7. By turning on 3- and 4-form fluxes on the torus in a supersymmetric way, we generate a potential for the moduli fields. We present various flux configurations with N=1,2,3,4,5,6 supersymmetries and count the number of moduli in each case. In particular, we show that there are N=1 configurations where all but one of the moduli are frozen.
| 6.023815
| 5.235873
| 6.813715
| 5.558326
| 5.797454
| 5.145516
| 4.977922
| 5.261878
| 5.363572
| 7.008906
| 5.165929
| 5.591369
| 6.263184
| 5.575097
| 5.53756
| 5.535606
| 5.462404
| 5.248557
| 5.545219
| 5.913326
| 5.594635
|
1507.01472
|
Dine Ousmane Samary
|
Dine Ousmane Samary, S\^ecloka Lazare Guedezounme and Antonin Kanfon
|
Production of Dirac particle in a deformed Minkowsky space-time
|
07 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we study the Dirac field theory interacting with external
gravitation field, described with tetrad of the form
$e_b^\mu(x)=\varepsilon(\delta_b^\mu+\omega_{ba}^\mu x^a)$, where
$\varepsilon=1$ for $\mu=0$ and $\varepsilon=i$ for $\mu=1,2,3.$ The
probability density of the vacuum-vacuum pair creation is given. In particular
case of vanishing electromagnetic fields, we point out how this deformation
modify the amplitude transition. The corresponding Dirac equation is solved.
|
[
{
"created": "Mon, 6 Jul 2015 14:13:53 GMT",
"version": "v1"
},
{
"created": "Sun, 13 Sep 2015 22:30:18 GMT",
"version": "v2"
}
] |
2015-09-15
|
[
[
"Samary",
"Dine Ousmane",
""
],
[
"Guedezounme",
"Sêcloka Lazare",
""
],
[
"Kanfon",
"Antonin",
""
]
] |
In this paper we study the Dirac field theory interacting with external gravitation field, described with tetrad of the form $e_b^\mu(x)=\varepsilon(\delta_b^\mu+\omega_{ba}^\mu x^a)$, where $\varepsilon=1$ for $\mu=0$ and $\varepsilon=i$ for $\mu=1,2,3.$ The probability density of the vacuum-vacuum pair creation is given. In particular case of vanishing electromagnetic fields, we point out how this deformation modify the amplitude transition. The corresponding Dirac equation is solved.
| 9.559621
| 11.009908
| 10.018063
| 9.562311
| 9.194322
| 9.924558
| 10.120044
| 10.51918
| 9.63392
| 9.958281
| 9.258884
| 9.209389
| 9.065358
| 8.930885
| 9.156556
| 8.92257
| 9.081576
| 9.476317
| 9.215383
| 9.374978
| 8.753582
|
1804.02940
|
Yu Nakayama
|
Yu Nakayama
|
On the realization of impossible anomalies
|
19 pages
|
Phys. Rev. D 98, 085002 (2018)
|
10.1103/PhysRevD.98.085002
|
RUP-18-11
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Wess-Zumino consistency condition allows more exotic forms of anomalies
than those we usually encounter. For example in two-dimensional conformal field
theories in the curved background with space-time dependent coupling constant
$\lambda^i(x)$, a $U(1)$ current could possess anomalous divergence of the form
$D^\mu J_\mu = \tilde{c} R + \chi_{ij} \partial^\mu \lambda^i
\partial_\mu\lambda_j + \tilde{\chi}_{ij} \epsilon^{\mu\nu} \partial_\mu
\lambda^i \partial_\nu \lambda^j + \cdots $. Another example is the CP odd
Pontryagin density in four-dimensional Weyl anomaly. We could, however, argue
that they are impossible in conformal field theories because they cannot
correspond to any (unregularized) conformally invariant correlation functions.
We find that this no-go argument may be a red herring. We show that some of
these impossible anomalies avoid the no-go argument because they are not
primary operators, and the others circumvent it because they are realized as
semi-local terms as is the case with the conformally invariant Green-Schwartz
mechanism and in the higher dimensional analogue of Liouville or linear dilaton
theory.
|
[
{
"created": "Mon, 9 Apr 2018 12:30:17 GMT",
"version": "v1"
}
] |
2018-10-10
|
[
[
"Nakayama",
"Yu",
""
]
] |
The Wess-Zumino consistency condition allows more exotic forms of anomalies than those we usually encounter. For example in two-dimensional conformal field theories in the curved background with space-time dependent coupling constant $\lambda^i(x)$, a $U(1)$ current could possess anomalous divergence of the form $D^\mu J_\mu = \tilde{c} R + \chi_{ij} \partial^\mu \lambda^i \partial_\mu\lambda_j + \tilde{\chi}_{ij} \epsilon^{\mu\nu} \partial_\mu \lambda^i \partial_\nu \lambda^j + \cdots $. Another example is the CP odd Pontryagin density in four-dimensional Weyl anomaly. We could, however, argue that they are impossible in conformal field theories because they cannot correspond to any (unregularized) conformally invariant correlation functions. We find that this no-go argument may be a red herring. We show that some of these impossible anomalies avoid the no-go argument because they are not primary operators, and the others circumvent it because they are realized as semi-local terms as is the case with the conformally invariant Green-Schwartz mechanism and in the higher dimensional analogue of Liouville or linear dilaton theory.
| 8.250813
| 8.669416
| 8.730748
| 8.392215
| 8.576482
| 8.586632
| 8.861994
| 8.434472
| 8.459089
| 10.00953
| 8.061058
| 7.833781
| 8.043098
| 7.965903
| 8.077324
| 8.273825
| 8.019867
| 8.150894
| 7.780292
| 8.138215
| 7.78522
|
hep-th/0309110
|
Jorge Alfaro
|
Jorge Alfaro (Facultad de F\'isica, Pontificia Universidad Cat\'olica
de Chile), Alexander A. Andrianov (V. A. Fock Department of Theoretical
Physics, St. Petersburg State University, and Istituto Nazionale di Fisica
Nucleare, Sezione di Bologna) and Pedro Labra\~na (Facultad de F\'isica,
Pontificia Universidad Cat\'olica de Chile)
|
Extended QCD(2) from dimensional projection of QCD(4)
|
JHEP class, 16 pages, 3 figures. Change in the title, some
improvements in section 2, minors changes and comments added in introduction
and conclusions. References added. Version appearing in JHEP
|
JHEP 0407:067,2004
|
10.1088/1126-6708/2004/07/067
| null |
hep-th hep-ph
| null |
We study an extended QCD model in (1+1) dimensions obtained from QCD in 4D by
compactifying two spatial dimensions and projecting onto the zero-mode
subspace. We work out this model in the large $N_c$ limit and using light cone
gauge but keeping the equal-time quantization. This system is found to induce a
dynamical mass for transverse gluons -- adjoint scalars in QCD(2), and to
undergo a chiral symmetry breaking with the full quark propagators yielding
non-tachyonic, dynamical quark masses, even in the chiral limit. We study
quark-antiquark bound states which can be classified in this model by their
properties under Lorentz transformations inherited from 4D. The scalar and
pseudoscalar sectors of the theory are examined and in the chiral limit a
massless ground state for pseudoscalars is revealed with a wave function
generalizing the so called 't Hooft pion solution.
|
[
{
"created": "Wed, 10 Sep 2003 19:32:27 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Sep 2003 21:16:36 GMT",
"version": "v2"
},
{
"created": "Wed, 11 Aug 2004 23:21:00 GMT",
"version": "v3"
}
] |
2016-08-16
|
[
[
"Alfaro",
"Jorge",
"",
"Facultad de Física, Pontificia Universidad Católica\n de Chile"
],
[
"Andrianov",
"Alexander A.",
"",
"V. A. Fock Department of Theoretical\n Physics, St. Petersburg State University, and Istituto Nazionale di Fisica\n Nucleare, Sezione di Bologna"
],
[
"Labraña",
"Pedro",
"",
"Facultad de Física,\n Pontificia Universidad Católica de Chile"
]
] |
We study an extended QCD model in (1+1) dimensions obtained from QCD in 4D by compactifying two spatial dimensions and projecting onto the zero-mode subspace. We work out this model in the large $N_c$ limit and using light cone gauge but keeping the equal-time quantization. This system is found to induce a dynamical mass for transverse gluons -- adjoint scalars in QCD(2), and to undergo a chiral symmetry breaking with the full quark propagators yielding non-tachyonic, dynamical quark masses, even in the chiral limit. We study quark-antiquark bound states which can be classified in this model by their properties under Lorentz transformations inherited from 4D. The scalar and pseudoscalar sectors of the theory are examined and in the chiral limit a massless ground state for pseudoscalars is revealed with a wave function generalizing the so called 't Hooft pion solution.
| 10.314924
| 10.249863
| 10.457245
| 9.965356
| 10.695695
| 10.801394
| 10.919445
| 10.293704
| 9.916225
| 11.16824
| 10.219316
| 10.009351
| 10.321354
| 10.059982
| 10.169918
| 9.910723
| 10.164798
| 9.813743
| 9.892207
| 10.246554
| 10.118982
|
0709.3911
|
Shogo Aoyama
|
Shogo Aoyama
|
Classical Exchange Algebra of the Superstring on S^5 with the AdS-time
|
12 pages, v2: argument on alternative representation of S^5 spherical
functions added, typos corrected, one reference added, matches journal
version
|
J. Phys. A47(2014)075402
|
10.1088/1751-8113/47/7/075402
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A classical exchange algebra of the superstring on S^5 with the AdS-time is
shown on the light-like plane. To this end we use the geometrical method of
which consistency is guaranteed by the classical Yang-Baxter equation. The
Dirac method does not work, there being constraints which contain first-class
and second-class and one can disentangle with each other keeping the isometry
hardly.
|
[
{
"created": "Tue, 25 Sep 2007 11:49:24 GMT",
"version": "v1"
},
{
"created": "Wed, 21 May 2014 14:50:26 GMT",
"version": "v2"
}
] |
2015-05-13
|
[
[
"Aoyama",
"Shogo",
""
]
] |
A classical exchange algebra of the superstring on S^5 with the AdS-time is shown on the light-like plane. To this end we use the geometrical method of which consistency is guaranteed by the classical Yang-Baxter equation. The Dirac method does not work, there being constraints which contain first-class and second-class and one can disentangle with each other keeping the isometry hardly.
| 35.998768
| 31.085564
| 37.892826
| 30.345167
| 34.503281
| 32.029282
| 34.514469
| 31.498409
| 29.178556
| 41.630009
| 32.598598
| 31.10943
| 33.647083
| 29.553568
| 31.588741
| 31.327591
| 29.480112
| 30.811916
| 30.380522
| 34.314732
| 30.095181
|
hep-th/0301115
|
Buchholz
|
Detlev Buchholz
|
On hot bangs and the arrow of time in relativistic quantum field theory
|
21 pages; v2: minor linguistic changes and some typos corrected
|
Commun.Math.Phys. 237 (2003) 271-288
|
10.1007/s00220-003-0839-z
| null |
hep-th gr-qc hep-ph math-ph math.MP
| null |
A recently proposed method for the characterization and analysis of local
equilibrium states in relativistic quantum field theory is applied to a simple
model. Within this model states are identified which are locally (but not
globally) in thermal equilibrium and it is shown that their local thermal
properties evolve according to macroscopic equations. The largest space-time
regions in which local equilibrium states can exist are timelike cones. Thus,
although the model does not describe dissipative effects, such states fix in a
natural manner a time direction. Moreover, generically they determine a
distinguished space-time point where a singularity in the temperature (a hot
bang) must have occurred if local equilibrium prevailed thereafter. The results
illustrate how the breaking of the time reflection symmetry at macroscopic
scales manifests itself in a microscopic setting.
|
[
{
"created": "Thu, 16 Jan 2003 19:21:46 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Jan 2003 18:26:11 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Buchholz",
"Detlev",
""
]
] |
A recently proposed method for the characterization and analysis of local equilibrium states in relativistic quantum field theory is applied to a simple model. Within this model states are identified which are locally (but not globally) in thermal equilibrium and it is shown that their local thermal properties evolve according to macroscopic equations. The largest space-time regions in which local equilibrium states can exist are timelike cones. Thus, although the model does not describe dissipative effects, such states fix in a natural manner a time direction. Moreover, generically they determine a distinguished space-time point where a singularity in the temperature (a hot bang) must have occurred if local equilibrium prevailed thereafter. The results illustrate how the breaking of the time reflection symmetry at macroscopic scales manifests itself in a microscopic setting.
| 14.593247
| 16.141558
| 15.219171
| 14.366508
| 14.651283
| 15.856354
| 15.908557
| 16.315886
| 14.616526
| 15.233176
| 14.548645
| 13.560638
| 13.618722
| 14.158093
| 14.500147
| 13.844813
| 14.737859
| 13.681095
| 13.851737
| 14.425653
| 14.100721
|
2404.02977
|
Zehua Wu
|
Ze-Hua Wu, H. Lu
|
Superradiant Instability of Charged Extremal Black Holes in
Einstein-Born-Infeld Gravity
|
Latex, 23 pages, 4 figures with 7 panels
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study charged scalar perturbations of charged extremal black holes in
Einstein-Born-Infeld theory. Our numerical results indicate that these black
holes all suffer from superradiant instability by the unstable quasi-bound
states, regardless how small the coupling constant is. We therefore provide a
new example that the superradiant stability of the Reissner-Nordstr\"om black
hole is a fine-tuned result, as in the case when it is embedded in the STU
supergravity model. The work is also motivated by the weak gravity conjecture
since at the linear coupling constant level, the theory belongs to a subsect of
four-derivative corrections in the effective field theory. Our results appear
to support the notion that the black holes do decay when gravity is weaker by
the correction, but the decaying halftime requires nonlinear effects and cannot
be seen at the level of linear coupling constant. The full nonlinear effects
also indicate that the black holes can decay even when gravity is stronger.
|
[
{
"created": "Wed, 3 Apr 2024 18:01:34 GMT",
"version": "v1"
}
] |
2024-04-05
|
[
[
"Wu",
"Ze-Hua",
""
],
[
"Lu",
"H.",
""
]
] |
We study charged scalar perturbations of charged extremal black holes in Einstein-Born-Infeld theory. Our numerical results indicate that these black holes all suffer from superradiant instability by the unstable quasi-bound states, regardless how small the coupling constant is. We therefore provide a new example that the superradiant stability of the Reissner-Nordstr\"om black hole is a fine-tuned result, as in the case when it is embedded in the STU supergravity model. The work is also motivated by the weak gravity conjecture since at the linear coupling constant level, the theory belongs to a subsect of four-derivative corrections in the effective field theory. Our results appear to support the notion that the black holes do decay when gravity is weaker by the correction, but the decaying halftime requires nonlinear effects and cannot be seen at the level of linear coupling constant. The full nonlinear effects also indicate that the black holes can decay even when gravity is stronger.
| 11.19401
| 10.335343
| 10.367098
| 9.460269
| 10.261223
| 10.429038
| 10.739667
| 10.195145
| 10.405366
| 10.868092
| 10.82376
| 10.826011
| 10.744871
| 10.485284
| 10.275375
| 10.479586
| 10.519327
| 10.456313
| 11.229397
| 10.445461
| 10.598091
|
1204.4124
|
Jan Weenink
|
Tomislav Prokopec, Michael G. Schmidt, Jan Weenink
|
The Gaussian entropy of fermionic systems
|
28 pages, 13 figures, updated to match published version
|
Annals Phys. 327, 3138 (2012)
|
10.1016/j.aop.2012.09.003
| null |
hep-th hep-ph quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the entropy and decoherence in fermionic quantum systems. By
making a Gaussian Ansatz for the density operator of a collection of fermions
we study statistical 2-point correlators and express the entropy of a system
fermion in terms of these correlators. In a simple case when a set of N
thermalised environmental fermionic oscillators interacts bi-linearly with the
system fermion we can study its time dependent entropy, which also represents a
quantitative measure for decoherence. We then consider a relativistic fermionic
quantum field theory and take a mass mixing term as a simple model for the
Yukawa interaction. It turns out that even in this Gaussian approximation, the
fermionic system decoheres quite effectively, such that in a large coupling and
high temperature regime the system field approaches the temperature of the
environmental fields.
|
[
{
"created": "Wed, 18 Apr 2012 16:21:12 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Nov 2012 13:26:21 GMT",
"version": "v2"
}
] |
2012-11-06
|
[
[
"Prokopec",
"Tomislav",
""
],
[
"Schmidt",
"Michael G.",
""
],
[
"Weenink",
"Jan",
""
]
] |
We consider the entropy and decoherence in fermionic quantum systems. By making a Gaussian Ansatz for the density operator of a collection of fermions we study statistical 2-point correlators and express the entropy of a system fermion in terms of these correlators. In a simple case when a set of N thermalised environmental fermionic oscillators interacts bi-linearly with the system fermion we can study its time dependent entropy, which also represents a quantitative measure for decoherence. We then consider a relativistic fermionic quantum field theory and take a mass mixing term as a simple model for the Yukawa interaction. It turns out that even in this Gaussian approximation, the fermionic system decoheres quite effectively, such that in a large coupling and high temperature regime the system field approaches the temperature of the environmental fields.
| 14.526255
| 14.277526
| 14.498889
| 14.161929
| 14.050266
| 12.908991
| 13.136566
| 13.633333
| 13.483116
| 15.008554
| 12.686589
| 13.698782
| 13.845433
| 13.707953
| 13.849907
| 13.573127
| 13.612837
| 14.053888
| 13.188786
| 13.921098
| 13.367891
|
2403.04853
|
Rafael A. Porto
|
Christoph Dlapa, Gregor K\"alin, Zhengwen Liu and Rafael A. Porto
|
Local-in-time Conservative Binary Dynamics at Fourth Post-Minkowskian
Order
|
5 pages + Refs + Supplemental. Two computer-readable ancillary files.
Two computer-readable ancillary files. v2: Ancillary files corrected to be
compatible with the split in Eq. (2) and the result quoted in Eq. (7)
(unmodified) with the given h_i coefficients (unmodified). To appear in Phys.
Rev. Lett
| null | null |
DESY 24-029
|
hep-th gr-qc hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
Leveraging scattering information to describe binary systems in generic
orbits requires identifying local- and nonlocal-in-time tail effects. We report
here the derivation of the universal (non-spinning) local-in-time conservative
dynamics at fourth Post-Minkowskian order, i.e. ${\cal O}(G^4)$. This is
achieved by computing the nonlocal-in-time contribution to the deflection
angle, and removing it from the full conservative value in
[2112.11296,2210.05541]. Unlike the total result, the integration problem
involves two scales, velocity and mass ratio, and features multiple
polylogarithms, complete elliptic and iterated elliptic integrals, notably in
the mass ratio. We reconstruct the local radial action, center-of-mass momentum
and Hamiltonian, as well as the exact logarithmic-dependent part(s), all valid
for generic orbits. We incorporate the remaining nonlocal terms for
elliptic-like motion to sixth Post-Newtonian order. The combined Hamiltonian is
in perfect agreement in the overlap with the Post-Newtonian state of the art.
The results presented here provide the most accurate description of
gravitationally-bound binaries harnessing scattering data to date, readily
applicable to waveform modelling.
|
[
{
"created": "Thu, 7 Mar 2024 19:07:49 GMT",
"version": "v1"
},
{
"created": "Mon, 6 May 2024 12:09:15 GMT",
"version": "v2"
}
] |
2024-05-07
|
[
[
"Dlapa",
"Christoph",
""
],
[
"Kälin",
"Gregor",
""
],
[
"Liu",
"Zhengwen",
""
],
[
"Porto",
"Rafael A.",
""
]
] |
Leveraging scattering information to describe binary systems in generic orbits requires identifying local- and nonlocal-in-time tail effects. We report here the derivation of the universal (non-spinning) local-in-time conservative dynamics at fourth Post-Minkowskian order, i.e. ${\cal O}(G^4)$. This is achieved by computing the nonlocal-in-time contribution to the deflection angle, and removing it from the full conservative value in [2112.11296,2210.05541]. Unlike the total result, the integration problem involves two scales, velocity and mass ratio, and features multiple polylogarithms, complete elliptic and iterated elliptic integrals, notably in the mass ratio. We reconstruct the local radial action, center-of-mass momentum and Hamiltonian, as well as the exact logarithmic-dependent part(s), all valid for generic orbits. We incorporate the remaining nonlocal terms for elliptic-like motion to sixth Post-Newtonian order. The combined Hamiltonian is in perfect agreement in the overlap with the Post-Newtonian state of the art. The results presented here provide the most accurate description of gravitationally-bound binaries harnessing scattering data to date, readily applicable to waveform modelling.
| 19.368261
| 17.598108
| 15.962969
| 14.434566
| 16.686508
| 15.138639
| 15.92345
| 14.279051
| 15.910427
| 16.668762
| 17.565081
| 15.42207
| 15.906103
| 15.065026
| 15.586697
| 15.649787
| 16.167669
| 15.231051
| 15.966954
| 15.899078
| 16.442686
|
2101.08802
|
Daniel \'Avila
|
Daniel \'Avila, Tonantzin Monroy, Francisco Nettel, Leonardo Pati\~no
|
Emission of linearly polarized photons in a strongly coupled magnetized
plasma from the gauge/gravity correspondence
|
6 pages, 1 figure
| null |
10.1016/j.physletb.2021.136287
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use holographic methods to show that photons emitted by a strongly coupled
plasma subject to a magnetic field are linearly polarized regardless of their
four-momentum, except when they propagate along the field direction. The
gravitational dual is constructed using a 5D truncation of 10-dimensional type
IIB supergravity, and includes a scalar field in addition to the constant
magnetic one. In terms of the geometry of the collision experiment that we
model, our statement is that any photon produced there has to be in its only
polarization state parallel to the reaction plane.
|
[
{
"created": "Thu, 21 Jan 2021 19:00:14 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Apr 2021 14:02:06 GMT",
"version": "v2"
}
] |
2021-04-20
|
[
[
"Ávila",
"Daniel",
""
],
[
"Monroy",
"Tonantzin",
""
],
[
"Nettel",
"Francisco",
""
],
[
"Patiño",
"Leonardo",
""
]
] |
We use holographic methods to show that photons emitted by a strongly coupled plasma subject to a magnetic field are linearly polarized regardless of their four-momentum, except when they propagate along the field direction. The gravitational dual is constructed using a 5D truncation of 10-dimensional type IIB supergravity, and includes a scalar field in addition to the constant magnetic one. In terms of the geometry of the collision experiment that we model, our statement is that any photon produced there has to be in its only polarization state parallel to the reaction plane.
| 15.259173
| 16.558811
| 15.696792
| 13.72295
| 14.348742
| 15.398048
| 13.880363
| 14.793878
| 15.049478
| 17.635962
| 13.015488
| 13.956663
| 14.356003
| 13.549776
| 14.993182
| 14.521446
| 14.670804
| 13.947435
| 13.867832
| 15.114003
| 13.900492
|
hep-th/0408014
|
Kota Ideguchi
|
Kota Ideguchi
|
Semiclassical Strings on AdS_5 x S^5/Z_M and Operators in Orbifold Field
Theories
|
LaTeX, 23 pages, 4 figures; v2 minor corrections, added references;
v3 typos corrected, published version
|
JHEP0409:008,2004
|
10.1088/1126-6708/2004/09/008
|
UT-04-21
|
hep-th
| null |
We show agreements, at one-loop level of field theory, between energies of
semiclassical string states on AdS_5 x S^5/Z_M and anomalous dimensions of
operators in N=0,1,2 orbifold field theories originating from N=4 SYM. On field
theory side, one-loop anomalous dimension matrices can be regarded as
Hamiltonians of spin chains with twisted boundary conditions. These are
solvable by Bethe ansatz. On string side, twisted sectors emerge and we obtain
some string configurations in twisted sectors. In SU(2) subsectors, we compare
anomalous dimensions with string energies and see agreements. We also see
agreements between sigma models of both sides in SU(2) and SU(3) subsectors.
|
[
{
"created": "Mon, 2 Aug 2004 19:14:21 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Aug 2004 16:04:58 GMT",
"version": "v2"
},
{
"created": "Thu, 30 Sep 2004 14:24:36 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Ideguchi",
"Kota",
""
]
] |
We show agreements, at one-loop level of field theory, between energies of semiclassical string states on AdS_5 x S^5/Z_M and anomalous dimensions of operators in N=0,1,2 orbifold field theories originating from N=4 SYM. On field theory side, one-loop anomalous dimension matrices can be regarded as Hamiltonians of spin chains with twisted boundary conditions. These are solvable by Bethe ansatz. On string side, twisted sectors emerge and we obtain some string configurations in twisted sectors. In SU(2) subsectors, we compare anomalous dimensions with string energies and see agreements. We also see agreements between sigma models of both sides in SU(2) and SU(3) subsectors.
| 9.423547
| 7.597651
| 9.919266
| 7.820221
| 7.87416
| 7.688919
| 7.356443
| 7.702249
| 7.76545
| 10.436838
| 7.406702
| 8.312843
| 8.997666
| 8.199636
| 8.226759
| 8.165571
| 8.356453
| 8.236293
| 8.067948
| 8.920073
| 7.873842
|
1710.00206
|
A.G. Tsuchiya
|
A.G. Tsuchiya
|
On new theta identities of fermion correlation functions on genus g
Riemann surfaces
|
Appendix E added
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Theta identities on genus g Riemann surfaces which decompose simple products
of fermion correlation functions with a constraint on their variables are
considered. This type of theta identities is, in a sense, dual to Fay s
formula, by which it is possible to sum over spin structures of certain part of
superstring amplitudes in NSR formalism without using Fay s formula nor Riemann
s theta formula in much simpler, more transparent way. Also, such identities
will help to cast correlation functions among arbitrary numbers of Kac-Moody
currents in a closed form. As for genus 1, the identities are reported before
in ref[1] [2]. Based on some notes on genus 1 case which were not reported in
ref[1] [2] and relating those to the results of the Dolan Goddard method ref[3]
on describing Kac-Moody currents in a closed form, we propose an idea of
generalizing genus 1 identities to the case of genus g surfaces. This is not a
complete derivation of the higher genus formula due to difficulties of
investigating singular part of derivatives of genus g Weierstrass Pe functions.
Mathematical issues remained unsolved for genus g >1 are described in the text.
|
[
{
"created": "Sat, 30 Sep 2017 14:30:00 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Oct 2017 11:57:03 GMT",
"version": "v2"
},
{
"created": "Wed, 18 Oct 2017 11:04:06 GMT",
"version": "v3"
},
{
"created": "Sun, 29 Oct 2017 11:50:29 GMT",
"version": "v4"
},
{
"created": "Mon, 13 Nov 2017 08:58:08 GMT",
"version": "v5"
},
{
"created": "Wed, 22 Nov 2017 07:26:52 GMT",
"version": "v6"
}
] |
2017-11-23
|
[
[
"Tsuchiya",
"A. G.",
""
]
] |
Theta identities on genus g Riemann surfaces which decompose simple products of fermion correlation functions with a constraint on their variables are considered. This type of theta identities is, in a sense, dual to Fay s formula, by which it is possible to sum over spin structures of certain part of superstring amplitudes in NSR formalism without using Fay s formula nor Riemann s theta formula in much simpler, more transparent way. Also, such identities will help to cast correlation functions among arbitrary numbers of Kac-Moody currents in a closed form. As for genus 1, the identities are reported before in ref[1] [2]. Based on some notes on genus 1 case which were not reported in ref[1] [2] and relating those to the results of the Dolan Goddard method ref[3] on describing Kac-Moody currents in a closed form, we propose an idea of generalizing genus 1 identities to the case of genus g surfaces. This is not a complete derivation of the higher genus formula due to difficulties of investigating singular part of derivatives of genus g Weierstrass Pe functions. Mathematical issues remained unsolved for genus g >1 are described in the text.
| 17.724325
| 19.499022
| 19.824598
| 17.750282
| 21.019121
| 18.798693
| 20.528378
| 18.475452
| 17.588032
| 19.720364
| 17.517864
| 17.368999
| 17.159103
| 16.938654
| 17.44721
| 17.259626
| 16.758308
| 16.564087
| 16.856497
| 18.328341
| 16.848419
|
0712.4404
|
Alexander Solovyov
|
Marcus K. Benna, Anatoly Dymarsky, Igor R. Klebanov and Alexander
Solovyov
|
On Normal Modes of a Warped Throat
|
LaTeX, 29 pages, 4 eps figures
|
JHEP 0806:070,2008
|
10.1088/1126-6708/2008/06/070
|
PUPT-2253, SU-ITP-07/25, ITEP-TH-79/07
|
hep-th
| null |
As shown in arXiv:hep-th/0405282, the warped deformed conifold has two
bosonic massless modes, a pseudoscalar and a scalar, that are dual to the phase
and the modulus of the baryonic condensates in the cascading gauge theory. We
reconsider the scalar mode sector, mixing fluctuations of the NS-NS 2-form and
the metric, and include non-zero 4-d momentum $k_\mu$. The resulting pair of
coupled equations produce a discrete spectrum of $m_4^2=- k_\mu^2$ which is
interpreted as the spectrum of $J^{PC}= 0^{+-}$ glueballs in the gauge theory.
Similarly, we derive the spectrum of certain pseudoscalar glueballs with
$J^{PC}= 0^{--}$, which originate from the decoupled fluctuations of the RR
2-form. We argue that each of the massive scalar or pseudoscalar modes we find
belongs to a 4-d massive axial vector or vector supermultiplet. We also discuss
our results in the context of a finite length throat embedded into a type IIB
flux compactification.
|
[
{
"created": "Fri, 28 Dec 2007 20:42:10 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Benna",
"Marcus K.",
""
],
[
"Dymarsky",
"Anatoly",
""
],
[
"Klebanov",
"Igor R.",
""
],
[
"Solovyov",
"Alexander",
""
]
] |
As shown in arXiv:hep-th/0405282, the warped deformed conifold has two bosonic massless modes, a pseudoscalar and a scalar, that are dual to the phase and the modulus of the baryonic condensates in the cascading gauge theory. We reconsider the scalar mode sector, mixing fluctuations of the NS-NS 2-form and the metric, and include non-zero 4-d momentum $k_\mu$. The resulting pair of coupled equations produce a discrete spectrum of $m_4^2=- k_\mu^2$ which is interpreted as the spectrum of $J^{PC}= 0^{+-}$ glueballs in the gauge theory. Similarly, we derive the spectrum of certain pseudoscalar glueballs with $J^{PC}= 0^{--}$, which originate from the decoupled fluctuations of the RR 2-form. We argue that each of the massive scalar or pseudoscalar modes we find belongs to a 4-d massive axial vector or vector supermultiplet. We also discuss our results in the context of a finite length throat embedded into a type IIB flux compactification.
| 8.620117
| 9.217381
| 9.167059
| 8.265372
| 8.811652
| 8.894935
| 8.570636
| 9.149802
| 8.443155
| 10.269865
| 8.740656
| 8.323398
| 8.354265
| 8.218009
| 8.257957
| 8.359826
| 8.37099
| 8.460281
| 8.413762
| 8.382654
| 8.030019
|
hep-th/0201112
| null |
A.A. Tseytlin
|
On limits of superstring in AdS_5 x S^5
|
15 pages, latex
|
Theor.Math.Phys.133:1376-1389,2002; Teor.Mat.Fiz.133:69-86,2002
|
10.1023/A:1020646014240
| null |
hep-th
| null |
The superstring action in AdS_5 x S^5 depends on two parameters: the inverse
string tension a' and the radius R. The standard AdS/CFT correspondence
requires that the string coordinates are rescaled so that the action depends
only on one combination of the two: (\lambda)^{1/2} = R^2/a'. Then \lambda \to
0 limit is equivalent to R \to 0 for fixed $a'$ or to the zero-tension limit in
AdS_5 x S^5: a' \to \infty for fixed R. After reviewing previous work
hep-th/0009171 on the light cone superstring we explicitly obtain the \lambda=
0 form of its action. Its zero-mode part is the same as the superparticle
action in AdS_5 x S^5, and thus the \lambda=0 string spectrum must include, as
expected, the ``protected'' type IIB supergravity states. Following recent
suggestions, it is conjectured that the spectrum of this tensionless string
should as well contain higher spin massless states in AdS_5. We also discuss
the case of another parametrization of the string action which has
straightforward R\to\infty flat space limit but where R \to 0 and a' \to \infty
limits are not equivalent. There R \to 0 corresponds to shrinking S^5 to zero
the size and ``freezing'' the fluctuations of the radial coordinate of AdS_5.
This case is the basis of the ``non-standard'' AdS/CFT correspondence suggested
in hep-th/0010106. Parts of this work were presented in the talk at
``Supergravity at 25'' conference, Stony Brook, December 1-2, 2001.
|
[
{
"created": "Tue, 15 Jan 2002 20:32:51 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Jan 2002 20:23:12 GMT",
"version": "v2"
}
] |
2009-09-17
|
[
[
"Tseytlin",
"A. A.",
""
]
] |
The superstring action in AdS_5 x S^5 depends on two parameters: the inverse string tension a' and the radius R. The standard AdS/CFT correspondence requires that the string coordinates are rescaled so that the action depends only on one combination of the two: (\lambda)^{1/2} = R^2/a'. Then \lambda \to 0 limit is equivalent to R \to 0 for fixed $a'$ or to the zero-tension limit in AdS_5 x S^5: a' \to \infty for fixed R. After reviewing previous work hep-th/0009171 on the light cone superstring we explicitly obtain the \lambda= 0 form of its action. Its zero-mode part is the same as the superparticle action in AdS_5 x S^5, and thus the \lambda=0 string spectrum must include, as expected, the ``protected'' type IIB supergravity states. Following recent suggestions, it is conjectured that the spectrum of this tensionless string should as well contain higher spin massless states in AdS_5. We also discuss the case of another parametrization of the string action which has straightforward R\to\infty flat space limit but where R \to 0 and a' \to \infty limits are not equivalent. There R \to 0 corresponds to shrinking S^5 to zero the size and ``freezing'' the fluctuations of the radial coordinate of AdS_5. This case is the basis of the ``non-standard'' AdS/CFT correspondence suggested in hep-th/0010106. Parts of this work were presented in the talk at ``Supergravity at 25'' conference, Stony Brook, December 1-2, 2001.
| 7.508848
| 7.889206
| 8.195332
| 7.251276
| 8.202905
| 7.920981
| 7.615473
| 7.533114
| 7.039912
| 8.845672
| 7.294309
| 7.259317
| 7.700071
| 7.312124
| 7.319733
| 7.405517
| 7.404618
| 7.381661
| 7.368997
| 7.944277
| 7.200971
|
1712.04073
|
Marcio Capri
|
M. A. L. Capri, D. M. van Egmond, G. Peruzzo, M. S. Guimaraes, O.
Holanda, S. P. Sorella, R. C. Terin, H. C. Toledo
|
On a renormalizable class of gauge fixings for the gauge invariant
operator $A_{\min }^{2}$
| null | null |
10.1016/j.aop.2018.01.009
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The dimension two gauge invariant non-local operator $A_{\min }^{2}$,
obtained through the minimization of $\int d^4x A^2$ along the gauge orbit,
allows to introduce a non-local gauge invariant configuration $A^h_\mu$ which
can be employed to built up a class of Euclidean massive Yang-Mills models
useful to investigate non-perturbative infrared effects of confining theories.
A fully local setup for both $A_{\min }^{2}$ and $A^{h}_\mu$ can be achieved,
resulting in a local and BRST invariant action which shares similarities with
the Stueckelberg formalism. Though, unlike the case of the Stueckelberg action,
the use of $A_{\min }^{2}$ gives rise to an all orders renormalizable action, a
feature which will be illustrated by means of a class of covariant gauge
fixings which, as much as 't Hooft's $R_\zeta$-gauge of spontaneously broken
gauge theories, provide a mass for the Stueckelberg field.
|
[
{
"created": "Mon, 11 Dec 2017 23:56:04 GMT",
"version": "v1"
}
] |
2018-03-14
|
[
[
"Capri",
"M. A. L.",
""
],
[
"van Egmond",
"D. M.",
""
],
[
"Peruzzo",
"G.",
""
],
[
"Guimaraes",
"M. S.",
""
],
[
"Holanda",
"O.",
""
],
[
"Sorella",
"S. P.",
""
],
[
"Terin",
"R. C.",
""
],
[
"Toledo",
"H. C.",
""
]
] |
The dimension two gauge invariant non-local operator $A_{\min }^{2}$, obtained through the minimization of $\int d^4x A^2$ along the gauge orbit, allows to introduce a non-local gauge invariant configuration $A^h_\mu$ which can be employed to built up a class of Euclidean massive Yang-Mills models useful to investigate non-perturbative infrared effects of confining theories. A fully local setup for both $A_{\min }^{2}$ and $A^{h}_\mu$ can be achieved, resulting in a local and BRST invariant action which shares similarities with the Stueckelberg formalism. Though, unlike the case of the Stueckelberg action, the use of $A_{\min }^{2}$ gives rise to an all orders renormalizable action, a feature which will be illustrated by means of a class of covariant gauge fixings which, as much as 't Hooft's $R_\zeta$-gauge of spontaneously broken gauge theories, provide a mass for the Stueckelberg field.
| 8.340073
| 8.651228
| 8.29524
| 8.046502
| 8.195961
| 8.483113
| 8.407673
| 7.984128
| 8.008838
| 8.751261
| 8.157802
| 7.823614
| 8.070354
| 7.983326
| 8.038014
| 7.71729
| 7.771406
| 7.927858
| 7.802391
| 8.028202
| 7.956058
|
0705.3606
|
Paul M. Saffin
|
Paul M. Saffin and Anders Tranberg
|
Particle transfer in braneworld collisions
|
17 pages, 15 figures. New version has clearer discussion of boundary
conditions, and corrects a typo
|
JHEP 0708:072,2007
|
10.1088/1126-6708/2007/08/072
|
DAMTP-2007-47
|
hep-th
| null |
We study the behaviour of fermions localized on moving kinks as these collide
with either antikinks or spacetime boundaries. We numerically solve for the
evolution of the scalar kinks and the bound (i.e. localized) fermion modes, and
calculate the number of fermions transfered to the antikink and boundary in
terms of Bogoliubov coefficients. Interpreting the boundary as the brane on
which we live, this models the ability of fermions on branes incoming from the
bulk to ``stick'' on the world brane, even when the incoming branes bounce back
into the bulk.
|
[
{
"created": "Thu, 24 May 2007 15:49:01 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Jun 2007 10:25:02 GMT",
"version": "v2"
}
] |
2009-04-17
|
[
[
"Saffin",
"Paul M.",
""
],
[
"Tranberg",
"Anders",
""
]
] |
We study the behaviour of fermions localized on moving kinks as these collide with either antikinks or spacetime boundaries. We numerically solve for the evolution of the scalar kinks and the bound (i.e. localized) fermion modes, and calculate the number of fermions transfered to the antikink and boundary in terms of Bogoliubov coefficients. Interpreting the boundary as the brane on which we live, this models the ability of fermions on branes incoming from the bulk to ``stick'' on the world brane, even when the incoming branes bounce back into the bulk.
| 12.219782
| 13.712035
| 11.919582
| 12.244711
| 13.503799
| 12.269945
| 12.725653
| 11.54944
| 11.291598
| 13.534369
| 11.759248
| 11.672352
| 11.931697
| 11.978127
| 11.524034
| 11.347174
| 11.551304
| 11.809776
| 11.567049
| 11.937237
| 11.380708
|
hep-th/0306039
|
Jean Alexandre
|
Jean Alexandre
|
A control on quantum fluctuations in 2+1 dimensions
|
Comments added
|
Phys.Rev. D68 (2003) 085016
|
10.1103/PhysRevD.68.085016
| null |
hep-th hep-ph
| null |
A functional method is discussed, where the quantum fluctuations of a theory
are controlled by a mass parameter and the evolution of the theory with this
parameter is connected to its renormalization. It is found, in the framework of
the gradient expansion, that the coupling constant of a N=1 Wess-Zumino theory
in 2+1 dimensions does not get quantum corrections.
|
[
{
"created": "Wed, 4 Jun 2003 14:28:26 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Aug 2003 12:32:38 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Alexandre",
"Jean",
""
]
] |
A functional method is discussed, where the quantum fluctuations of a theory are controlled by a mass parameter and the evolution of the theory with this parameter is connected to its renormalization. It is found, in the framework of the gradient expansion, that the coupling constant of a N=1 Wess-Zumino theory in 2+1 dimensions does not get quantum corrections.
| 11.110587
| 8.454254
| 10.169532
| 8.805094
| 8.296421
| 8.563137
| 8.553842
| 8.80834
| 9.600499
| 9.904503
| 9.149743
| 9.08702
| 9.197739
| 8.997404
| 9.171787
| 9.133801
| 9.386091
| 9.461821
| 9.183686
| 9.72095
| 9.308157
|
hep-th/0212335
|
Olaf Lechtenfeld
|
Alexander Kling, Olaf Lechtenfeld, Alexander D. Popov, Sebastian
Uhlmann
|
Solving String Field Equations: New Uses for Old Tools
|
Talk presented by O.L. at the 35th International Symposium Ahrenshoop
on the Theory of Elementary Particles, Berlin, Germany, 26-30 Aug 2002; v2:
minor corrections, textheight adjusted
|
Fortsch.Phys. 51 (2003) 775-780
|
10.1002/prop.200310097
| null |
hep-th
| null |
It is argued that the (NS-sector) superstring field equations are integrable,
i.e. their solutions are obtainable from linear equations. We adapt the
25-year-old solution-generating "dressing" method and reduce the construction
of nonperturbative superstring configurations to a specific cohomology problem.
The application to vacuum superstring field theory is outlined.
|
[
{
"created": "Mon, 30 Dec 2002 18:59:42 GMT",
"version": "v1"
},
{
"created": "Tue, 27 May 2003 19:11:05 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Kling",
"Alexander",
""
],
[
"Lechtenfeld",
"Olaf",
""
],
[
"Popov",
"Alexander D.",
""
],
[
"Uhlmann",
"Sebastian",
""
]
] |
It is argued that the (NS-sector) superstring field equations are integrable, i.e. their solutions are obtainable from linear equations. We adapt the 25-year-old solution-generating "dressing" method and reduce the construction of nonperturbative superstring configurations to a specific cohomology problem. The application to vacuum superstring field theory is outlined.
| 18.59412
| 14.710838
| 17.04357
| 13.548832
| 15.202202
| 13.979829
| 14.396993
| 14.654057
| 14.029994
| 22.935713
| 14.452139
| 15.141714
| 16.3848
| 14.973367
| 14.789198
| 15.369026
| 14.794453
| 15.098704
| 14.906036
| 16.391273
| 15.000208
|
hep-th/0009174
|
Marco Matone
|
Diego Bellisai, Jose' M. Isidro and Marco Matone
|
On the Structure of Noncommutative N=2 Super Yang-Mills Theory
|
1+5 pages, LaTeX
|
JHEP 0010 (2000) 026
|
10.1088/1126-6708/2000/10/026
|
DFPD00/TH/27
|
hep-th
| null |
We show that the recently proposed formulation of noncommutative N=2 Super
Yang-Mills theory implies that the commutative and noncommutative effective
coupling constants \tau(u) and \tau_{nc}(u) coincide. We then introduce a key
relation which allows to find a nontrivial solution of such equation, thus
fixing the form of the low-energy effective action. The dependence on the
noncommutative parameter arises from a rational function deforming the
Seiberg-Witten differential.
|
[
{
"created": "Fri, 22 Sep 2000 16:06:39 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Bellisai",
"Diego",
""
],
[
"Isidro",
"Jose' M.",
""
],
[
"Matone",
"Marco",
""
]
] |
We show that the recently proposed formulation of noncommutative N=2 Super Yang-Mills theory implies that the commutative and noncommutative effective coupling constants \tau(u) and \tau_{nc}(u) coincide. We then introduce a key relation which allows to find a nontrivial solution of such equation, thus fixing the form of the low-energy effective action. The dependence on the noncommutative parameter arises from a rational function deforming the Seiberg-Witten differential.
| 10.133099
| 8.192275
| 10.151183
| 8.517274
| 9.296374
| 9.098045
| 8.755366
| 8.867096
| 8.53564
| 11.05727
| 8.424382
| 8.865905
| 10.097319
| 9.038922
| 8.990853
| 8.885189
| 9.201351
| 8.824835
| 8.763151
| 10.075539
| 8.72171
|
hep-th/0204089
|
Carlo Angelantonj
|
Carlo Angelantonj (CERN) and Augusto Sagnotti (Rome U. Tor Vergata &
INFN, Rome II)
|
Open Strings
|
156 pages. References added. Version to appear in Physics Reports.
Dedicated to John H. Schwarz on the occasion of his sixtieth birthday
|
Phys.Rept.371:1-150,2002; Erratum-ibid.376:339-405,2003
|
10.1016/S0370-1573(02)00273-9
|
CERN-TH/2002-025, ROM2F-2002/08, LPTENS 02/14, CPHT RR 020.0202
|
hep-th gr-qc hep-ph
| null |
This review is devoted to open strings, and in particular to the often
surprising features of their spectra. It follows and summarizes developments
that took place mainly at the University of Rome ``Tor Vergata'' over the last
decade, and centred on world-sheet aspects of the constructions now commonly
referred to as ``orientifolds''. Our presentation aims to bridge the gap
between the world-sheet analysis, that first exhibited many of the novel
features of these systems, and their geometric description in terms of extended
objects, D-branes and O-planes, contributed by many other colleagues, and most
notably by J. Polchinski. We therefore proceed through a number of prototype
examples, starting from the bosonic string and moving on to ten-dimensional
fermionic strings and their toroidal and orbifold compactifications, in an
attempt to guide the reader in a self-contained journey to the more recent
developments related to the breaking of supersymmetry.
|
[
{
"created": "Wed, 10 Apr 2002 16:22:54 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Jul 2002 10:44:14 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Angelantonj",
"Carlo",
"",
"CERN"
],
[
"Sagnotti",
"Augusto",
"",
"Rome U. Tor Vergata &\n INFN, Rome II"
]
] |
This review is devoted to open strings, and in particular to the often surprising features of their spectra. It follows and summarizes developments that took place mainly at the University of Rome ``Tor Vergata'' over the last decade, and centred on world-sheet aspects of the constructions now commonly referred to as ``orientifolds''. Our presentation aims to bridge the gap between the world-sheet analysis, that first exhibited many of the novel features of these systems, and their geometric description in terms of extended objects, D-branes and O-planes, contributed by many other colleagues, and most notably by J. Polchinski. We therefore proceed through a number of prototype examples, starting from the bosonic string and moving on to ten-dimensional fermionic strings and their toroidal and orbifold compactifications, in an attempt to guide the reader in a self-contained journey to the more recent developments related to the breaking of supersymmetry.
| 10.260386
| 9.889887
| 11.737917
| 9.899202
| 9.990559
| 10.526407
| 10.295987
| 9.66983
| 9.782773
| 11.706336
| 9.834848
| 9.778004
| 10.294889
| 9.952524
| 9.380568
| 9.829848
| 9.970939
| 9.71422
| 9.460768
| 10.04163
| 9.533276
|
hep-th/0305081
|
Giuseppe D'Appollonio
|
Giuseppe D'Appollonio and Elias Kiritsis
|
String interactions in gravitational wave backgrounds
|
99 pages, LateX (v2) The discussion of the flat space limit has been
changed (v3) Final version that appeared in Nucl. Phys B
|
Nucl.Phys. B674 (2003) 80-170
|
10.1016/j.nuclphysb.2003.09.020
| null |
hep-th
| null |
The non-compact CFT of a class of NS-supported pp-wave backgrounds is solved
exactly. The associated tree-level covariant string scattering amplitudes are
calculated. The S-matrix elements are well-defined, dual but not analytic as a
function of $p^+$. They have poles corresponding to physical intermediate
states with $p^+\not =0$ and logarithmic branch cuts due to on-shell exchange
of spectral-flow images of $p^+=0$ states. When $\mu\to 0$ a smooth flat space
limit is obtained. The $\mu\to\infty$ limit, unlike the case of RR-supported
pp-waves, gives again a flat space theory.
|
[
{
"created": "Fri, 9 May 2003 19:41:43 GMT",
"version": "v1"
},
{
"created": "Sun, 11 May 2003 20:24:03 GMT",
"version": "v2"
},
{
"created": "Thu, 25 Dec 2003 22:03:52 GMT",
"version": "v3"
}
] |
2010-04-05
|
[
[
"D'Appollonio",
"Giuseppe",
""
],
[
"Kiritsis",
"Elias",
""
]
] |
The non-compact CFT of a class of NS-supported pp-wave backgrounds is solved exactly. The associated tree-level covariant string scattering amplitudes are calculated. The S-matrix elements are well-defined, dual but not analytic as a function of $p^+$. They have poles corresponding to physical intermediate states with $p^+\not =0$ and logarithmic branch cuts due to on-shell exchange of spectral-flow images of $p^+=0$ states. When $\mu\to 0$ a smooth flat space limit is obtained. The $\mu\to\infty$ limit, unlike the case of RR-supported pp-waves, gives again a flat space theory.
| 11.819462
| 11.102412
| 13.610256
| 10.094664
| 10.810488
| 11.165971
| 11.007215
| 10.810074
| 10.550179
| 13.268126
| 10.424791
| 10.793058
| 12.208406
| 10.907644
| 10.531132
| 11.078914
| 10.714822
| 10.355105
| 10.719879
| 11.935802
| 10.890461
|
2102.04753
|
Yuri Makeenko
|
Yuri Makeenko
|
Private life of the Liouville field that causes new anomalies in the
Nambu-Goto string
|
21 pages, 5 figures; v2: slightly polished
| null |
10.1016/j.nuclphysb.2021.115398
|
ITEP-TH-05/21
|
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
I consider higher-order terms of the Seeley expansion of the heat kernel,
which for smooth metrics are suppressed as inverse powers of the UV cutoff
$\Lambda$, and demonstrate how they result in an anomalous contribution to the
string effective action after doing uncertainties $\Lambda^{-2}\times
\Lambda^2$. For the Polyakov string these anomalies precisely reproduce at one
loop the result of KPZ-DDK obtained for the Liouville theory by the conformal
field theory technique. For the Nambu-Goto string I find a deviation from this
result which shows that the two string formulations may differ.
|
[
{
"created": "Tue, 9 Feb 2021 10:47:54 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Feb 2021 09:04:04 GMT",
"version": "v2"
}
] |
2021-05-05
|
[
[
"Makeenko",
"Yuri",
""
]
] |
I consider higher-order terms of the Seeley expansion of the heat kernel, which for smooth metrics are suppressed as inverse powers of the UV cutoff $\Lambda$, and demonstrate how they result in an anomalous contribution to the string effective action after doing uncertainties $\Lambda^{-2}\times \Lambda^2$. For the Polyakov string these anomalies precisely reproduce at one loop the result of KPZ-DDK obtained for the Liouville theory by the conformal field theory technique. For the Nambu-Goto string I find a deviation from this result which shows that the two string formulations may differ.
| 18.346642
| 14.62409
| 17.353251
| 15.129478
| 15.840319
| 14.214832
| 13.757838
| 14.379392
| 13.978876
| 17.839861
| 14.215463
| 13.773573
| 14.368816
| 14.164157
| 14.690255
| 15.007828
| 14.386068
| 14.148149
| 13.543752
| 14.766479
| 13.801084
|
1201.3838
|
Carl Bender
|
Carl M. Bender and M. Gianfreda
|
Matrix representation of the time operator
|
13 pages, 3 figures
| null |
10.1063/1.4729286
| null |
hep-th math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In quantum mechanics the time operator $\Theta$ satisfies the commutation
relation $[\Theta,H]=i$, and thus it may be thought of as being canonically
conjugate to the Hamiltonian $H$. The time operator associated with a given
Hamiltonian $H$ is not unique because one can replace $\Theta$ by $\Theta+
\Theta_{\rm hom}$, where $\Theta_{\rm hom}$ satisfies the homogeneous condition
$[\Theta_{\rm hom},H]=0$. To study this nonuniqueness the matrix elements of
$\Theta$ for the harmonic-oscillator Hamiltonian are calculated in the
eigenstate basis. This calculation requires the summation of divergent series,
and the summation is accomplished by using zeta-summation techniques. It is
shown that by including appropriate homogeneous contributions, the matrix
elements of $\Theta$ simplify dramatically. However, it is still not clear
whether there is an optimally simple representation of the time operator.
|
[
{
"created": "Wed, 18 Jan 2012 16:25:24 GMT",
"version": "v1"
}
] |
2015-06-03
|
[
[
"Bender",
"Carl M.",
""
],
[
"Gianfreda",
"M.",
""
]
] |
In quantum mechanics the time operator $\Theta$ satisfies the commutation relation $[\Theta,H]=i$, and thus it may be thought of as being canonically conjugate to the Hamiltonian $H$. The time operator associated with a given Hamiltonian $H$ is not unique because one can replace $\Theta$ by $\Theta+ \Theta_{\rm hom}$, where $\Theta_{\rm hom}$ satisfies the homogeneous condition $[\Theta_{\rm hom},H]=0$. To study this nonuniqueness the matrix elements of $\Theta$ for the harmonic-oscillator Hamiltonian are calculated in the eigenstate basis. This calculation requires the summation of divergent series, and the summation is accomplished by using zeta-summation techniques. It is shown that by including appropriate homogeneous contributions, the matrix elements of $\Theta$ simplify dramatically. However, it is still not clear whether there is an optimally simple representation of the time operator.
| 5.236728
| 5.607943
| 5.448615
| 5.001528
| 5.234999
| 5.606808
| 5.243819
| 5.42733
| 5.017494
| 5.500794
| 5.382844
| 4.956349
| 5.106899
| 5.082839
| 4.946106
| 4.922708
| 4.985768
| 4.990177
| 4.899381
| 5.272542
| 4.897501
|
2311.00039
|
Mehmet Ozkan
|
Oguzhan Kasikci, Mehmet Ozkan, Yi Pang, Utku Zorba
|
Carrollian Supersymmetry and SYK-like models
|
v3. Typos fixed, clarifications and references added. Version
accepted in PRD Letters
| null |
10.1103/PhysRevD.110.L021702
| null |
hep-th cond-mat.stat-mech cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This work challenges the conventional notion that in spacetime dimension
higher than one, a supersymmetric Lagrangian invariably consists of purely
bosonic terms, purely fermionic terms, as well as boson-fermion mixing terms.
By recasting a relativistic Lagrangian in terms of its non-relativistic and
ultra-relativistic sectors, we reveal that an ultra-relativistic (Carrollian)
supersymmetric Lagrangian can exist without a purely bosonic contribution.
Based on this result, we demonstrate a link between higher-dimensional
Carrollian and (0+1)-dimensional quantum mechanical models, yielding
higher-order extensions of supersymmetric SYK models in which purely bosonic
higher order terms are absent. Given that supersymmetry plays an essential role
in improving the quantum behavior and solubility, our findings may lead to
interesting applications in non-AdS holography.
|
[
{
"created": "Tue, 31 Oct 2023 18:00:06 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Jan 2024 14:29:28 GMT",
"version": "v2"
},
{
"created": "Tue, 25 Jun 2024 16:20:30 GMT",
"version": "v3"
}
] |
2024-07-23
|
[
[
"Kasikci",
"Oguzhan",
""
],
[
"Ozkan",
"Mehmet",
""
],
[
"Pang",
"Yi",
""
],
[
"Zorba",
"Utku",
""
]
] |
This work challenges the conventional notion that in spacetime dimension higher than one, a supersymmetric Lagrangian invariably consists of purely bosonic terms, purely fermionic terms, as well as boson-fermion mixing terms. By recasting a relativistic Lagrangian in terms of its non-relativistic and ultra-relativistic sectors, we reveal that an ultra-relativistic (Carrollian) supersymmetric Lagrangian can exist without a purely bosonic contribution. Based on this result, we demonstrate a link between higher-dimensional Carrollian and (0+1)-dimensional quantum mechanical models, yielding higher-order extensions of supersymmetric SYK models in which purely bosonic higher order terms are absent. Given that supersymmetry plays an essential role in improving the quantum behavior and solubility, our findings may lead to interesting applications in non-AdS holography.
| 9.36447
| 10.067502
| 9.98263
| 9.08794
| 10.10737
| 10.299293
| 9.902107
| 9.299077
| 8.77172
| 9.728609
| 9.154199
| 9.196275
| 9.167115
| 8.731997
| 9.27272
| 9.40906
| 9.089667
| 8.959163
| 8.79949
| 9.318826
| 8.621069
|
1311.6368
|
Chaolun Wu
|
Chaolun Wu
|
Angular Momentum Generation from Holographic Chern-Simons Models
|
27 pages, 4 figures; Section 3.4 added; minor changes
|
JHEP 12 (2014) 090
|
10.1007/JHEP12(2014)090
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study parity-violating effects, particularly the generation of angular
momentum density and its relation to the parity-odd and dissipationless
transport coefficient Hall viscosity, in strongly-coupled quantum fluid systems
in 2+1 dimensions using holographic method. We employ a class of
3+1-dimensional holographic models of Einstein-Maxwell system with gauge and
gravitational Chern-Simons terms coupled to a dynamical scalar field. The
scalar can condensate and break the parity spontaneously. We find that when the
scalar condensates, a non-vanishing angular momentum density and an associated
edge current are generated, and they receive contributions from both gauge and
gravitational Chern-Simons terms. The angular momentum density does not satisfy
a membrane paradigm form because the vector mode fluctuations from which it is
calculated are effectively massive. On the other hand, the emergence of Hall
viscosity is a consequence of the gravitational Chern-Simons term alone and it
has membrane paradigm form. We present both general analytic results and
numeric results which take back-reactions into account. The ratio between Hall
viscosity and angular momentum density resulting from the gravitational
Chern-Simons term has in general a deviation from the universal 1/2 value
obtained from field theory and condensed matter physics.
|
[
{
"created": "Mon, 25 Nov 2013 17:18:01 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Dec 2013 20:07:00 GMT",
"version": "v2"
},
{
"created": "Mon, 24 Mar 2014 16:51:21 GMT",
"version": "v3"
},
{
"created": "Mon, 22 Dec 2014 13:05:26 GMT",
"version": "v4"
}
] |
2014-12-23
|
[
[
"Wu",
"Chaolun",
""
]
] |
We study parity-violating effects, particularly the generation of angular momentum density and its relation to the parity-odd and dissipationless transport coefficient Hall viscosity, in strongly-coupled quantum fluid systems in 2+1 dimensions using holographic method. We employ a class of 3+1-dimensional holographic models of Einstein-Maxwell system with gauge and gravitational Chern-Simons terms coupled to a dynamical scalar field. The scalar can condensate and break the parity spontaneously. We find that when the scalar condensates, a non-vanishing angular momentum density and an associated edge current are generated, and they receive contributions from both gauge and gravitational Chern-Simons terms. The angular momentum density does not satisfy a membrane paradigm form because the vector mode fluctuations from which it is calculated are effectively massive. On the other hand, the emergence of Hall viscosity is a consequence of the gravitational Chern-Simons term alone and it has membrane paradigm form. We present both general analytic results and numeric results which take back-reactions into account. The ratio between Hall viscosity and angular momentum density resulting from the gravitational Chern-Simons term has in general a deviation from the universal 1/2 value obtained from field theory and condensed matter physics.
| 8.012786
| 8.112803
| 8.305547
| 7.685318
| 8.213334
| 8.603075
| 8.802353
| 7.864733
| 7.932206
| 8.777217
| 7.966743
| 7.70577
| 8.359745
| 7.786326
| 7.619308
| 7.728224
| 7.66379
| 7.785314
| 7.864338
| 8.124639
| 7.747441
|
hep-th/0006218
|
Constantin Bizdadea
|
C. Bizdadea
|
On the cohomological derivation of topological Yang-Mills theory
|
LaTeX 2.09, 12 pages
|
Europhys.Lett.49:123-129,2000
|
10.1209/epl/i2000-00413-7
| null |
hep-th
| null |
Topological Yang-Mills theory is derived in the framework of Lagrangian BRST
cohomology.
|
[
{
"created": "Wed, 28 Jun 2000 15:02:14 GMT",
"version": "v1"
}
] |
2010-12-17
|
[
[
"Bizdadea",
"C.",
""
]
] |
Topological Yang-Mills theory is derived in the framework of Lagrangian BRST cohomology.
| 10.932993
| 4.875149
| 7.988717
| 5.235675
| 5.034169
| 5.583991
| 5.277707
| 5.19827
| 5.63054
| 7.862169
| 5.870156
| 5.99605
| 7.412536
| 6.743246
| 5.693832
| 5.78596
| 6.206282
| 5.629142
| 5.985079
| 7.467026
| 6.122273
|
1508.07432
|
D. J. Toms
|
David J. Toms
|
Faddeev-Jackiw quantization and the path integral
| null |
Phys. Rev. D 92, 105026 (2015)
|
10.1103/PhysRevD.92.105026
| null |
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The method for quantization of constrained theories that was suggested
originally by Faddeev and Jackiw along with later modifications is discussed.
The particular emphasis of this paper is to show how it is simple to implement
their method within the path integral framework using the natural geometric
structure that their method utilizes. The procedure is exemplified with the
analysis of two models: a quantum mechanical particle constrained to a surface
(of which the hypersphere is a special case), and a quantized Schr\"odinger
field interacting with a quantized vector field for both the massive and the
massless cases. The results are shown to agree with what is found using the
Dirac method for constrained path integrals. We comment on a previous path
integral analysis of the Faddeev-Jackiw method. We also discuss why a previous
criticism of the Faddeev-Jackiw method is unfounded and why suggested
modifications of their method are unnecessary.
|
[
{
"created": "Sat, 29 Aug 2015 10:41:08 GMT",
"version": "v1"
}
] |
2015-11-25
|
[
[
"Toms",
"David J.",
""
]
] |
The method for quantization of constrained theories that was suggested originally by Faddeev and Jackiw along with later modifications is discussed. The particular emphasis of this paper is to show how it is simple to implement their method within the path integral framework using the natural geometric structure that their method utilizes. The procedure is exemplified with the analysis of two models: a quantum mechanical particle constrained to a surface (of which the hypersphere is a special case), and a quantized Schr\"odinger field interacting with a quantized vector field for both the massive and the massless cases. The results are shown to agree with what is found using the Dirac method for constrained path integrals. We comment on a previous path integral analysis of the Faddeev-Jackiw method. We also discuss why a previous criticism of the Faddeev-Jackiw method is unfounded and why suggested modifications of their method are unnecessary.
| 8.685384
| 9.014167
| 8.873571
| 7.843392
| 8.315909
| 8.470155
| 8.265213
| 8.242162
| 8.010322
| 9.03948
| 8.122438
| 8.346678
| 8.384074
| 8.028451
| 8.258953
| 8.160264
| 8.34526
| 8.175307
| 8.082174
| 8.428027
| 8.139304
|
1502.03292
|
Daniel Becker
|
Daniel Becker and Martin Reuter
|
Is there a $C$-function in 4D Quantum Einstein Gravity?
|
22 pages; 2 figures; talk given by M.R. at Quantum Mathematical
Physics, Regensburg, 2014
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We describe a functional renormalization group-based method to search for
`$C$-like' functions with properties similar to that in 2D conformal field
theory. It exploits the mode counting properties of the effective average
action and is particularly suited for theories including quantized gravity. The
viability of the approach is demonstrated explicitly in a truncation of 4
dimensional Quantum Einstein Gravity, i.e. asymptotically safe metric gravity.
|
[
{
"created": "Wed, 11 Feb 2015 13:03:51 GMT",
"version": "v1"
}
] |
2015-02-12
|
[
[
"Becker",
"Daniel",
""
],
[
"Reuter",
"Martin",
""
]
] |
We describe a functional renormalization group-based method to search for `$C$-like' functions with properties similar to that in 2D conformal field theory. It exploits the mode counting properties of the effective average action and is particularly suited for theories including quantized gravity. The viability of the approach is demonstrated explicitly in a truncation of 4 dimensional Quantum Einstein Gravity, i.e. asymptotically safe metric gravity.
| 18.319139
| 15.100335
| 16.930101
| 15.011732
| 16.847467
| 13.820992
| 15.325557
| 14.851039
| 13.961662
| 21.295525
| 14.479837
| 15.563295
| 15.650247
| 15.673393
| 15.78196
| 15.627069
| 15.357404
| 15.550038
| 15.685127
| 16.25494
| 15.023061
|
hep-th/0505246
|
Jian-Zu Zhang
|
Qi-jun Yin, Jian-Zu Zhang
|
Coherent States of the Deformed Heisenberg-Weyl Algebra in
Noncommutative Space
|
10 pages, no figure
|
Phys.Lett. B613 (2005) 91-96
|
10.1016/j.physletb.2005.03.040
| null |
hep-th quant-ph
| null |
In two-dimensional space a subtle point that for the case of both space-space
and momentum-momentum noncommuting, different from the case of only space-space
noncommuting, the deformed Heisenberg-Weyl algebra in noncommutative space is
not completely equivalent to the undeformed Heisenberg-Weyl algebra in
commutative space is clarified. It follows that there is no well defined
procedure to construct the deformed position-position coherent state or the
deformed momentum-momentum coherent state from the undeformed position-momentum
coherent state. Identifications of the deformed position-position and deformed
momentum-momentum coherent states with the lowest energy states of a cold
Rydberg atom in special conditions and a free particle, respectively, are
demonstrated.
|
[
{
"created": "Fri, 27 May 2005 02:08:43 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Yin",
"Qi-jun",
""
],
[
"Zhang",
"Jian-Zu",
""
]
] |
In two-dimensional space a subtle point that for the case of both space-space and momentum-momentum noncommuting, different from the case of only space-space noncommuting, the deformed Heisenberg-Weyl algebra in noncommutative space is not completely equivalent to the undeformed Heisenberg-Weyl algebra in commutative space is clarified. It follows that there is no well defined procedure to construct the deformed position-position coherent state or the deformed momentum-momentum coherent state from the undeformed position-momentum coherent state. Identifications of the deformed position-position and deformed momentum-momentum coherent states with the lowest energy states of a cold Rydberg atom in special conditions and a free particle, respectively, are demonstrated.
| 8.536493
| 9.226422
| 9.328258
| 7.885958
| 9.407661
| 8.81512
| 8.268308
| 7.851385
| 7.728341
| 9.579263
| 7.630537
| 8.007134
| 7.864461
| 7.812726
| 8.047771
| 8.415338
| 8.149856
| 7.873803
| 7.943766
| 8.207201
| 8.000782
|
hep-th/0506129
|
Toby Wiseman
|
Matthew Headrick, Toby Wiseman
|
Numerical Ricci-flat metrics on K3
|
38 pages, 10 figures; program code and animations of figures
downloadable from http://schwinger.harvard.edu/~wiseman/K3/ ; v2 minor
corrections, references added
|
Class.Quant.Grav. 22 (2005) 4931-4960
|
10.1088/0264-9381/22/23/002
| null |
hep-th gr-qc math.DG
| null |
We develop numerical algorithms for solving the Einstein equation on
Calabi-Yau manifolds at arbitrary values of their complex structure and Kahler
parameters. We show that Kahler geometry can be exploited for significant gains
in computational efficiency. As a proof of principle, we apply our methods to a
one-parameter family of K3 surfaces constructed as blow-ups of the T^4/Z_2
orbifold with many discrete symmetries. High-resolution metrics may be obtained
on a time scale of days using a desktop computer. We compute various geometric
and spectral quantities from our numerical metrics. Using similar resources we
expect our methods to practically extend to Calabi-Yau three-folds with a high
degree of discrete symmetry, although we expect the general three-fold to
remain a challenge due to memory requirements.
|
[
{
"created": "Wed, 15 Jun 2005 20:18:05 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Apr 2006 17:54:31 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Headrick",
"Matthew",
""
],
[
"Wiseman",
"Toby",
""
]
] |
We develop numerical algorithms for solving the Einstein equation on Calabi-Yau manifolds at arbitrary values of their complex structure and Kahler parameters. We show that Kahler geometry can be exploited for significant gains in computational efficiency. As a proof of principle, we apply our methods to a one-parameter family of K3 surfaces constructed as blow-ups of the T^4/Z_2 orbifold with many discrete symmetries. High-resolution metrics may be obtained on a time scale of days using a desktop computer. We compute various geometric and spectral quantities from our numerical metrics. Using similar resources we expect our methods to practically extend to Calabi-Yau three-folds with a high degree of discrete symmetry, although we expect the general three-fold to remain a challenge due to memory requirements.
| 11.428707
| 10.710604
| 11.970634
| 10.745594
| 11.326428
| 11.081117
| 10.66949
| 11.14213
| 10.705944
| 13.535105
| 10.538193
| 10.7321
| 10.814721
| 10.252994
| 10.347023
| 10.294276
| 10.181109
| 10.159788
| 10.401621
| 11.032688
| 10.144302
|
hep-th/9612022
|
Steve Giddings
|
Steven B. Giddings (UC Santa Barbara)
|
Scattering ripples from branes
|
17 pages, 1 figure, harvmac, minor reference changes
|
Phys. Rev. D 55, 6367 (1997)
|
10.1103/PhysRevD.55.6367
|
UCSBTH-96-29
|
hep-th
| null |
A novel probe of D-brane dynamics is via scattering of a high energy ripple
traveling along an attached string. The inelastic processes in which the
D-brane is excited through emission of an additional attached string is
considered. Corresponding amplitudes can be found by factorizing a one-loop
amplitude derived in this paper. This one-loop amplitude is shown to have the
correct structure, but extraction of explicit expressions for the scattering
amplitudes is difficult. It is conjectured that the exponential growth of
available string states with energy leads to an inclusive scattering rate that
becomes large at the string scale, due to excitation of the ``string halo,''
and meaning that such probes do not easily see structure at shorter scales.
|
[
{
"created": "Mon, 2 Dec 1996 22:00:38 GMT",
"version": "v1"
},
{
"created": "Sat, 7 Dec 1996 00:56:08 GMT",
"version": "v2"
}
] |
2016-08-24
|
[
[
"Giddings",
"Steven B.",
"",
"UC Santa Barbara"
]
] |
A novel probe of D-brane dynamics is via scattering of a high energy ripple traveling along an attached string. The inelastic processes in which the D-brane is excited through emission of an additional attached string is considered. Corresponding amplitudes can be found by factorizing a one-loop amplitude derived in this paper. This one-loop amplitude is shown to have the correct structure, but extraction of explicit expressions for the scattering amplitudes is difficult. It is conjectured that the exponential growth of available string states with energy leads to an inclusive scattering rate that becomes large at the string scale, due to excitation of the ``string halo,'' and meaning that such probes do not easily see structure at shorter scales.
| 17.94623
| 19.894423
| 19.0966
| 17.635254
| 19.3557
| 20.209539
| 18.420574
| 17.370272
| 17.150644
| 19.940151
| 17.462584
| 17.575579
| 17.625725
| 17.040545
| 17.684309
| 17.830467
| 17.250084
| 17.304932
| 17.139717
| 17.350805
| 17.319899
|
1809.08883
|
Alysson Fabio Ferrari Prof.
|
L. H. C. Borges, A. F. Ferrari, F. A. Barone
|
Mirrors and field sources in a Lorentz-violating scalar field theory
|
v2, 20 pages, 4 figures, improved discussions, version published in
NPB
|
Nucl.Phys.B 954 (2020) 114974
|
10.1016/j.nuclphysb.2020.114974
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we consider different classical effects in a model for a scalar
field incorporating Lorentz symmetry breaking due to the presence of a single
background vector v^{\mu} coupled to its derivative. We perform an
investigation of the interaction energy between stationary steady sources
concentrated along parallel branes with an arbitrary number of dimensions, and
derive from this study some physical consequences. For the case of the scalar
dipole we show the emergence of a nontrivial torque, which is distinctive sign
of the Lorentz violation. We also investigate a similar model in the presence
of a semi-transparent mirror. For a general relative orientation between the
mirror and the v^{\mu}, we are able to perform calculations perturbatively in
v^{\mu} up to second order. We also find results without recourse to
approximations for two special cases, that of the mirror and v^{\mu} being
parallel or perpendicular to each other. For all these configurations, the
propagator for the scalar field and the interaction force between the mirror
and a point-like field source are computed. It is shown that the image method
is valid in our model for the Dirichlet's boundary condition, and we argue that
this is a non-trivial result. We also show the emergence of a torque on the
mirror depending on its orientation with respect to the Lorentz violating
background. This is a new effect with no counterpart in theories with Lorentz
symmetry in the presence of mirrors.
|
[
{
"created": "Mon, 24 Sep 2018 12:55:06 GMT",
"version": "v1"
},
{
"created": "Sat, 23 May 2020 01:49:16 GMT",
"version": "v2"
}
] |
2020-05-26
|
[
[
"Borges",
"L. H. C.",
""
],
[
"Ferrari",
"A. F.",
""
],
[
"Barone",
"F. A.",
""
]
] |
In this paper we consider different classical effects in a model for a scalar field incorporating Lorentz symmetry breaking due to the presence of a single background vector v^{\mu} coupled to its derivative. We perform an investigation of the interaction energy between stationary steady sources concentrated along parallel branes with an arbitrary number of dimensions, and derive from this study some physical consequences. For the case of the scalar dipole we show the emergence of a nontrivial torque, which is distinctive sign of the Lorentz violation. We also investigate a similar model in the presence of a semi-transparent mirror. For a general relative orientation between the mirror and the v^{\mu}, we are able to perform calculations perturbatively in v^{\mu} up to second order. We also find results without recourse to approximations for two special cases, that of the mirror and v^{\mu} being parallel or perpendicular to each other. For all these configurations, the propagator for the scalar field and the interaction force between the mirror and a point-like field source are computed. It is shown that the image method is valid in our model for the Dirichlet's boundary condition, and we argue that this is a non-trivial result. We also show the emergence of a torque on the mirror depending on its orientation with respect to the Lorentz violating background. This is a new effect with no counterpart in theories with Lorentz symmetry in the presence of mirrors.
| 9.038419
| 8.243102
| 9.545931
| 8.304794
| 8.4795
| 8.366987
| 8.406227
| 8.494225
| 8.343839
| 10.151854
| 8.2925
| 8.419388
| 9.046705
| 8.677556
| 8.47291
| 8.385287
| 8.403488
| 8.5429
| 8.469757
| 9.081563
| 8.370179
|
hep-th/9110014
| null |
B.R. Greene and M.R. Plesser
|
Mirror Manifolds: A Brief Review and Progress Report
|
19 pages
| null | null | null |
hep-th
| null |
We first give a complete, albeit brief, review of the discovery of mirror
symmetry in $N=2$ string/conformal field theory. In particular, we describe the
naturality arguments which led to the initial mirror symmetry conjectures and
the subsequent work which established the existence of mirror symmetry through
direct construction. We then review a number of striking consequences of mirror
symmetry -- both conceptual and calculational. Finally, we describe recent work
which introduces a variant on our original proof of the existence of mirror
symmetry. This work affirms classical--quantum symmetry duality as well as
extends the domain of our initial mirror symmetry construction.
|
[
{
"created": "Fri, 4 Oct 1991 05:44:00 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Greene",
"B. R.",
""
],
[
"Plesser",
"M. R.",
""
]
] |
We first give a complete, albeit brief, review of the discovery of mirror symmetry in $N=2$ string/conformal field theory. In particular, we describe the naturality arguments which led to the initial mirror symmetry conjectures and the subsequent work which established the existence of mirror symmetry through direct construction. We then review a number of striking consequences of mirror symmetry -- both conceptual and calculational. Finally, we describe recent work which introduces a variant on our original proof of the existence of mirror symmetry. This work affirms classical--quantum symmetry duality as well as extends the domain of our initial mirror symmetry construction.
| 12.796247
| 13.095679
| 12.935165
| 12.126834
| 13.798214
| 12.006884
| 12.966173
| 12.143441
| 11.915257
| 13.648903
| 12.161141
| 12.063986
| 12.302132
| 11.736781
| 12.572783
| 12.009681
| 11.833089
| 11.938384
| 12.27832
| 11.762212
| 11.592811
|
hep-th/9206031
| null |
C. M. Hull and L. Palacios
|
Singular Contractions of W-algebras
|
10 pages, phyzzx.tex, QMW-92-7.(minor spelling and acknowledgement
corrections)
|
Mod.Phys.Lett. A7 (1992) 2619-2626
|
10.1142/S0217732392004092
| null |
hep-th
| null |
Many $W$-algebras (e.g. the $W_N$ algebras) are consistent for all values of
the central charge except for a discrete set of exceptional values. We show
that such algebras can be contracted to new consistent degenerate algebras at
these exceptional values of the central charge.
|
[
{
"created": "Mon, 8 Jun 1992 16:26:26 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Hull",
"C. M.",
""
],
[
"Palacios",
"L.",
""
]
] |
Many $W$-algebras (e.g. the $W_N$ algebras) are consistent for all values of the central charge except for a discrete set of exceptional values. We show that such algebras can be contracted to new consistent degenerate algebras at these exceptional values of the central charge.
| 6.495186
| 5.974304
| 7.545473
| 5.726881
| 5.633362
| 6.002114
| 5.708947
| 5.699703
| 5.776208
| 7.127443
| 5.40571
| 5.533343
| 6.966878
| 6.221374
| 5.729414
| 5.550382
| 5.638921
| 5.425974
| 5.800821
| 7.404951
| 5.853472
|
hep-th/9812124
|
Ruslan Metsaev
|
V.I. Ritus, (Lebedev Physical Institute)
|
Effective Lagrange function of intense electromagnetic field in QED
|
18 pages, LaTeX
|
Published in Proceedings of the conference `Frontier Tests of QED
and Physics of the Vacuum' Sandanski, Bulgaria, 9-15 June, 1998 (Eds.
E.Zavattini, D.Bakalov, C.Rizzo) Heron Press, Sofia, 1998
| null | null |
hep-th
| null |
The short survey of computation and properties of effective Lagrange function
of intensive field in two-loop approximation accounting for radiative
interaction of virtual electrons is given. The renormalization of field, charge
and mass is completely defined by the weak field behaviour of the exact
Lagrange function: its real part must be Maxwellian and imaginary part must be
quasiclassical $\propto \exp (-\pi m^2c^3/\hbar e\epsilon)$. For weak electric
field radiative interaction manifests itself as electron mass shift. Using the
renorminvariance at strong field and exponentiation at weak field it is
possible to obtain information about contributions of high order in $\alpha$.
|
[
{
"created": "Tue, 15 Dec 1998 13:17:33 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Ritus",
"V. I.",
""
]
] |
The short survey of computation and properties of effective Lagrange function of intensive field in two-loop approximation accounting for radiative interaction of virtual electrons is given. The renormalization of field, charge and mass is completely defined by the weak field behaviour of the exact Lagrange function: its real part must be Maxwellian and imaginary part must be quasiclassical $\propto \exp (-\pi m^2c^3/\hbar e\epsilon)$. For weak electric field radiative interaction manifests itself as electron mass shift. Using the renorminvariance at strong field and exponentiation at weak field it is possible to obtain information about contributions of high order in $\alpha$.
| 21.750975
| 23.574289
| 20.805492
| 18.754091
| 26.708942
| 22.901218
| 22.079016
| 23.290207
| 19.91497
| 22.376865
| 21.233074
| 19.711765
| 19.700846
| 19.445137
| 19.727186
| 21.188663
| 19.546473
| 19.61694
| 19.050993
| 19.551016
| 19.676292
|
hep-th/9905056
|
Shibaji Roy
|
J. X. Lu (Texas A-M), Shibaji Roy (Saha Institute)
|
(F, D5) Bound State, SL(2, Z) Invariance and The Descendant States in
Type IIB/A String Theory
|
21 pages LaTeX, no figures, More general charge relation Eq.(2.23) is
given, the text has been revised accordingly, version to appear in Phys. Rev.
D
|
Phys.Rev. D60 (1999) 126002
|
10.1103/PhysRevD.60.126002
|
CTP-TAMU-17/99, SINP-TNP/99-16
|
hep-th
| null |
Recently the space-time configurations of a set of non-threshold bound
states, called the (F, Dp) bound states, have been constructed explicitly for
every $p$ with $2 \le p \le 7$ in both type IIA (for $p$ even) and type IIB
(for $p$ odd) string theories by the present authors. By making use of the
SL(2, Z) symmetry of type IIB theory we construct a more general SL(2, Z)
invariant bound state of the type ((F, D1), (NS5, D5)) in this theory from the
(F, D5) bound state. There are actually an infinite number of $(m,n)$ strings
forming bound states with $(m',n')$ 5-branes, where strings lie along one of
the spatial directions of the 5-branes. By applying T-duality along one of the
transverse directions we also construct the bound state ((F, D2), (KK, D6)) in
type IIA string theory. Then we give a list of possible bound states which can
be obtained from these newly constructed bound states by applying T-dualities
along the longitudinal directions as well as S-dualities to those in type IIB
theory.
|
[
{
"created": "Sat, 8 May 1999 09:11:34 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Aug 1999 07:57:15 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Lu",
"J. X.",
"",
"Texas A-M"
],
[
"Roy",
"Shibaji",
"",
"Saha Institute"
]
] |
Recently the space-time configurations of a set of non-threshold bound states, called the (F, Dp) bound states, have been constructed explicitly for every $p$ with $2 \le p \le 7$ in both type IIA (for $p$ even) and type IIB (for $p$ odd) string theories by the present authors. By making use of the SL(2, Z) symmetry of type IIB theory we construct a more general SL(2, Z) invariant bound state of the type ((F, D1), (NS5, D5)) in this theory from the (F, D5) bound state. There are actually an infinite number of $(m,n)$ strings forming bound states with $(m',n')$ 5-branes, where strings lie along one of the spatial directions of the 5-branes. By applying T-duality along one of the transverse directions we also construct the bound state ((F, D2), (KK, D6)) in type IIA string theory. Then we give a list of possible bound states which can be obtained from these newly constructed bound states by applying T-dualities along the longitudinal directions as well as S-dualities to those in type IIB theory.
| 5.906588
| 5.320984
| 6.448316
| 5.584169
| 5.414307
| 5.29299
| 5.284893
| 4.957211
| 5.144481
| 7.115397
| 5.229127
| 5.399973
| 5.812388
| 5.374641
| 5.222679
| 5.394532
| 5.606756
| 5.393184
| 5.36235
| 5.814158
| 5.287854
|
hep-th/0403159
|
Alvaro Nunez
|
Alvaro Nunez and Slava Solganik
|
The content of f(R) gravity
| null | null | null | null |
hep-th astro-ph gr-qc
| null |
We analyze the propagating degrees of freedom in gravity models where the
scalar curvature in the action is replaced by a generic function $f(R)$ of the
curvature. That these gravity models are equivalent to Einstein's gravity with
an extra scalar field had previously been shown by applying a conformal
transformation. We confirm this result by calculating the particle propagators.
This provides further evidence of the unability of these models to explain the
accelerated expansion of the Universe without contradicting solar system
experiments.
|
[
{
"created": "Mon, 15 Mar 2004 21:10:08 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Nunez",
"Alvaro",
""
],
[
"Solganik",
"Slava",
""
]
] |
We analyze the propagating degrees of freedom in gravity models where the scalar curvature in the action is replaced by a generic function $f(R)$ of the curvature. That these gravity models are equivalent to Einstein's gravity with an extra scalar field had previously been shown by applying a conformal transformation. We confirm this result by calculating the particle propagators. This provides further evidence of the unability of these models to explain the accelerated expansion of the Universe without contradicting solar system experiments.
| 8.898265
| 8.21828
| 7.719347
| 7.189719
| 8.439443
| 7.899436
| 8.860044
| 7.806351
| 8.082167
| 7.90293
| 7.937813
| 8.189605
| 7.748631
| 7.654243
| 7.898543
| 7.593881
| 7.771728
| 7.576081
| 7.836579
| 7.670186
| 7.892698
|
hep-th/0310060
|
Kazuo Ghoroku
|
Kazuo Ghoroku
|
Gauge-gravity correspondence in de Sitter braneworld
|
16 pages, 1 figure
|
Phys.Rev. D69 (2004) 084003
|
10.1103/PhysRevD.69.084003
|
FIT-HE-03-04
|
hep-th
| null |
We study the braneworld solutions based on a solvable model of 5d gauged
supergravity with two scalars of conformal dimension three, which correspond to
bilinear operators of fermions in the dual $\mathcal{N}=4$ super Yang-Mills
theory on the boundary. An accelerating braneworld solution is obtained when
both scalars are taken as the form of deformations of the super Yang-Mills
theory and the bulk supersymmetry is broken. This solution is smoothly
connected to the Poincare invariant brane in the limit of vanishing
cosmological constant. The stability of this brane-solution and the
correspondence to the gauge theory are addressed.
|
[
{
"created": "Tue, 7 Oct 2003 05:41:38 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Oct 2003 05:09:33 GMT",
"version": "v2"
},
{
"created": "Mon, 20 Oct 2003 08:25:39 GMT",
"version": "v3"
},
{
"created": "Thu, 13 Nov 2003 00:34:38 GMT",
"version": "v4"
},
{
"created": "Mon, 23 Feb 2004 09:46:07 GMT",
"version": "v5"
}
] |
2009-11-10
|
[
[
"Ghoroku",
"Kazuo",
""
]
] |
We study the braneworld solutions based on a solvable model of 5d gauged supergravity with two scalars of conformal dimension three, which correspond to bilinear operators of fermions in the dual $\mathcal{N}=4$ super Yang-Mills theory on the boundary. An accelerating braneworld solution is obtained when both scalars are taken as the form of deformations of the super Yang-Mills theory and the bulk supersymmetry is broken. This solution is smoothly connected to the Poincare invariant brane in the limit of vanishing cosmological constant. The stability of this brane-solution and the correspondence to the gauge theory are addressed.
| 8.307818
| 7.541825
| 9.319687
| 7.897972
| 7.735984
| 7.542097
| 7.684297
| 7.774106
| 7.601881
| 8.676735
| 7.408335
| 7.699619
| 8.163989
| 7.762791
| 7.782503
| 8.04749
| 7.81545
| 7.660124
| 7.777429
| 8.464607
| 7.90351
|
2103.04921
|
Carlo Maccaferri
|
Carlo Maccaferri, Jakub Vo\v{s}mera
|
Closed string deformations in open string field theory III: ${\cal N}=2$
worldsheet localization
|
25 pages, no figures. V2: minor improvements, JHEP version
|
JHEP 09 (2021) 049
|
10.1007/JHEP09(2021)049
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
In this paper, which is the last of a series of three, we first verify that
the two open-closed effective potentials derived in the previous paper from the
WZW theory in the large Hilbert space and the $A_\infty$ theory in the small
Hilbert space have the same vacuum structure. In particular, we show that
mass-term deformations given by the effective (two open)-(one closed) couplings
are the same, provided the effective tadpole is vanishing to first order in the
closed string deformation. We show that this condition is always realized when
the worldsheet BCFT enjoys a global ${\cal N}=2$ superconformal symmetry and
the deforming closed string belongs to the chiral ring in both the holomorphic
and anti-holomorphic sector. In this case it is possible to explicitly evaluate
the mass deformation by localizing the SFT Feynman diagrams to the boundary of
world-sheet moduli space, reducing the amplitude to a simple open string
two-point function. As a non-trivial check of our construction we couple a
constant Kalb-Ramond closed string state to the OSFT on the
$\text{D}3$--$\text{D}(-1)$ system and we show that half of the bosonic
blowing-up moduli become tachyonic, making the system condense to a bound state
whose binding energy we compute exactly to second order in the closed string
deformation, finding agreement with the literature.
|
[
{
"created": "Mon, 8 Mar 2021 17:32:15 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Sep 2021 21:57:56 GMT",
"version": "v2"
}
] |
2021-09-29
|
[
[
"Maccaferri",
"Carlo",
""
],
[
"Vošmera",
"Jakub",
""
]
] |
In this paper, which is the last of a series of three, we first verify that the two open-closed effective potentials derived in the previous paper from the WZW theory in the large Hilbert space and the $A_\infty$ theory in the small Hilbert space have the same vacuum structure. In particular, we show that mass-term deformations given by the effective (two open)-(one closed) couplings are the same, provided the effective tadpole is vanishing to first order in the closed string deformation. We show that this condition is always realized when the worldsheet BCFT enjoys a global ${\cal N}=2$ superconformal symmetry and the deforming closed string belongs to the chiral ring in both the holomorphic and anti-holomorphic sector. In this case it is possible to explicitly evaluate the mass deformation by localizing the SFT Feynman diagrams to the boundary of world-sheet moduli space, reducing the amplitude to a simple open string two-point function. As a non-trivial check of our construction we couple a constant Kalb-Ramond closed string state to the OSFT on the $\text{D}3$--$\text{D}(-1)$ system and we show that half of the bosonic blowing-up moduli become tachyonic, making the system condense to a bound state whose binding energy we compute exactly to second order in the closed string deformation, finding agreement with the literature.
| 9.391604
| 9.335694
| 10.438112
| 9.254201
| 9.442974
| 9.573277
| 9.823838
| 9.218083
| 8.828785
| 10.651503
| 8.977073
| 8.877048
| 9.540051
| 9.111712
| 9.35367
| 9.027513
| 9.122411
| 8.771671
| 9.107976
| 9.334794
| 9.08494
|
1305.3379
|
Euro Spallucci
|
Euro Spallucci, Anais Smailagic
|
Maxwell's equal area law for charged Anti-deSitter black holes
|
15 pages, 1 table, 4 Figures. Accepted for publication in PLB
| null | null | null |
hep-th cond-mat.other gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we present the construction of the Maxwell equal area law in
the Hawking temperature graph for a charged black hole in Anti-deSitter
background. We are able to find exact solution for the corresponding isotherm
and entropies for "gaseous" (large) black holes and "liquid" (near-extremal)
black holes. Isothermal construction removes the unphysical, negative heat
capacity, regions. Furthermore, extremal black holes turn out to be dual to
"un-shrinkable" molecules of Van der Waals real fluid, which may explain their
thermodynamical stability.
|
[
{
"created": "Wed, 15 May 2013 07:32:02 GMT",
"version": "v1"
}
] |
2013-05-16
|
[
[
"Spallucci",
"Euro",
""
],
[
"Smailagic",
"Anais",
""
]
] |
In this paper we present the construction of the Maxwell equal area law in the Hawking temperature graph for a charged black hole in Anti-deSitter background. We are able to find exact solution for the corresponding isotherm and entropies for "gaseous" (large) black holes and "liquid" (near-extremal) black holes. Isothermal construction removes the unphysical, negative heat capacity, regions. Furthermore, extremal black holes turn out to be dual to "un-shrinkable" molecules of Van der Waals real fluid, which may explain their thermodynamical stability.
| 14.758458
| 15.427458
| 13.686201
| 12.568139
| 14.679829
| 14.561889
| 15.595239
| 12.55455
| 13.562636
| 15.665784
| 13.948033
| 13.799424
| 12.901363
| 13.260132
| 13.486794
| 13.684735
| 13.515282
| 13.14187
| 14.261131
| 13.476664
| 13.69312
|
1012.2065
|
Klaus Larjo
|
Vijay Balasubramanian, Bartlomiej Czech, Klaus Larjo and Thomas S.
Levi
|
Vacuum decay in multidimensional field landscapes: thin, thick and
intersecting walls
|
14 pages. Published version
|
Phys.Rev.D84:025019,2011
|
10.1103/PhysRevD.84.025019
|
UPR-1222-T
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study tunneling between vacua in multi-dimensional field spaces. Working
in the strict thin wall approximation, we find that the conventional instantons
for false vacuum decay develop a new vanishing eigenvalue in their fluctuation
determinant, arising from decorations of the nucleating bubble wall with small
spots of the additional vacua. Naively, this would suggest that the presence of
additional vacua in field space leads to a substantial enhancement of the
nucleation rate. However, we argue that this potential enhancement is regulated
away by the finite thickness of physical bubble wall intersections. We then
discuss novel saddle points of the thin wall action that, in some regimes of
parameter space, have the potential to destabilize the conventional instantons
for false vacuum decay.
|
[
{
"created": "Thu, 9 Dec 2010 18:09:29 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Jul 2011 01:46:15 GMT",
"version": "v2"
}
] |
2011-08-11
|
[
[
"Balasubramanian",
"Vijay",
""
],
[
"Czech",
"Bartlomiej",
""
],
[
"Larjo",
"Klaus",
""
],
[
"Levi",
"Thomas S.",
""
]
] |
We study tunneling between vacua in multi-dimensional field spaces. Working in the strict thin wall approximation, we find that the conventional instantons for false vacuum decay develop a new vanishing eigenvalue in their fluctuation determinant, arising from decorations of the nucleating bubble wall with small spots of the additional vacua. Naively, this would suggest that the presence of additional vacua in field space leads to a substantial enhancement of the nucleation rate. However, we argue that this potential enhancement is regulated away by the finite thickness of physical bubble wall intersections. We then discuss novel saddle points of the thin wall action that, in some regimes of parameter space, have the potential to destabilize the conventional instantons for false vacuum decay.
| 11.910923
| 11.156461
| 11.85296
| 10.431482
| 11.578194
| 11.71369
| 10.841497
| 10.456352
| 10.569677
| 11.89502
| 10.953221
| 10.747979
| 11.634808
| 11.148255
| 11.133595
| 11.338993
| 11.388474
| 11.312289
| 10.832065
| 12.014417
| 11.083373
|
1703.01759
|
Bobby Ezhuthachan
|
Samrat Bhowmick, Suchetan Das, Bobby Ezhuthachan
|
Entanglement entropy and kinematic space in BCFT and RG flow
|
19 pages, Version 4: typos corrected, appendix B shifted to main text
in section- 3
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The relation between kinematic space metric and entanglement entropy provides
us with a differential equation for entanglement entropy. For BCFT on upper
half plane we solve this equation to obtain an expression for entanglement
entropy consistent with known results in the literature. We also discuss how
this relation can be used to recast the RG flow, under relevant deformations of
a CFT, as a flow in the space of kinematic space metrics.
|
[
{
"created": "Mon, 6 Mar 2017 08:32:32 GMT",
"version": "v1"
},
{
"created": "Mon, 1 May 2017 12:10:10 GMT",
"version": "v2"
},
{
"created": "Fri, 20 Jul 2018 04:14:16 GMT",
"version": "v3"
},
{
"created": "Fri, 27 Jul 2018 07:36:01 GMT",
"version": "v4"
}
] |
2018-07-30
|
[
[
"Bhowmick",
"Samrat",
""
],
[
"Das",
"Suchetan",
""
],
[
"Ezhuthachan",
"Bobby",
""
]
] |
The relation between kinematic space metric and entanglement entropy provides us with a differential equation for entanglement entropy. For BCFT on upper half plane we solve this equation to obtain an expression for entanglement entropy consistent with known results in the literature. We also discuss how this relation can be used to recast the RG flow, under relevant deformations of a CFT, as a flow in the space of kinematic space metrics.
| 8.949101
| 7.372448
| 9.215137
| 6.978353
| 6.681837
| 7.713262
| 8.070331
| 7.379068
| 7.252058
| 8.443606
| 7.38726
| 7.830067
| 8.257
| 7.695787
| 7.565913
| 7.625967
| 7.922765
| 7.652609
| 7.495633
| 8.413744
| 7.407621
|
hep-th/0412256
|
Juha Honkonen
|
Juha Honkonen, M. V. Komarova, M. Yu. Nalimov
|
Instantons for Dynamic Models from B to H
|
18 pages
|
Nucl.Phys. B714 (2005) 292-306
|
10.1016/j.nuclphysb.2005.02.029
| null |
hep-th
| null |
Instanton analysis is applied to models B--H of critical dynamics. It is
shown that the static instanton of the massless $\phi^{4}$ model determines the
large-order asymptotes of the perturbation expansion of these near-equilibrium
dynamic models leading to factorial growth with the order of perturbation
theory.
|
[
{
"created": "Tue, 21 Dec 2004 13:39:40 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Honkonen",
"Juha",
""
],
[
"Komarova",
"M. V.",
""
],
[
"Nalimov",
"M. Yu.",
""
]
] |
Instanton analysis is applied to models B--H of critical dynamics. It is shown that the static instanton of the massless $\phi^{4}$ model determines the large-order asymptotes of the perturbation expansion of these near-equilibrium dynamic models leading to factorial growth with the order of perturbation theory.
| 21.227045
| 18.069378
| 21.301714
| 16.949154
| 17.393972
| 18.305744
| 16.45047
| 18.182295
| 18.513695
| 21.089603
| 19.046743
| 16.498314
| 18.904142
| 17.919842
| 17.089949
| 17.732038
| 17.443308
| 20.016397
| 18.143118
| 18.072989
| 18.127876
|
1303.4428
|
Erick J. Weinberg
|
Brian Greene, David Kagan, Ali Masoumi, Dhagash Mehta, Erick J.
Weinberg, Xiao Xiao
|
Tumbling through a landscape: Evidence of instabilities in
high-dimensional moduli spaces
|
21 pages, 10 figures; Updated version, modified to include more
refined numerical analyses and more detailed assessment of anthropic
solutions to the cosmological constant problem
| null |
10.1103/PhysRevD.88.026005
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We argue that a generic instability afflicts vacua that arise in theories
whose moduli space has large dimension. Specifically, by studying theories with
multiple scalar fields we provide numerical evidence that for a generic local
minimum of the potential the usual semiclassical bubble nucleation rate, Gamma
= A e^{-B}, increases rapidly as function of the number of fields in the
theory. As a consequence, the fraction of vacua with tunneling rates low enough
to maintain metastability appears to fall exponentially as a function of the
moduli space dimension. We discuss possible implications for the landscape of
string theory. Notably, if our results prove applicable to string theory, the
landscape of metastable vacua may not contain sufficient diversity to offer a
natural explanation of dark energy.
|
[
{
"created": "Mon, 18 Mar 2013 21:19:25 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Mar 2013 01:24:38 GMT",
"version": "v2"
},
{
"created": "Mon, 3 Jun 2013 01:36:32 GMT",
"version": "v3"
}
] |
2013-08-09
|
[
[
"Greene",
"Brian",
""
],
[
"Kagan",
"David",
""
],
[
"Masoumi",
"Ali",
""
],
[
"Mehta",
"Dhagash",
""
],
[
"Weinberg",
"Erick J.",
""
],
[
"Xiao",
"Xiao",
""
]
] |
We argue that a generic instability afflicts vacua that arise in theories whose moduli space has large dimension. Specifically, by studying theories with multiple scalar fields we provide numerical evidence that for a generic local minimum of the potential the usual semiclassical bubble nucleation rate, Gamma = A e^{-B}, increases rapidly as function of the number of fields in the theory. As a consequence, the fraction of vacua with tunneling rates low enough to maintain metastability appears to fall exponentially as a function of the moduli space dimension. We discuss possible implications for the landscape of string theory. Notably, if our results prove applicable to string theory, the landscape of metastable vacua may not contain sufficient diversity to offer a natural explanation of dark energy.
| 10.505494
| 10.681779
| 10.503709
| 9.577374
| 11.135322
| 10.383469
| 9.817845
| 10.119339
| 9.651613
| 10.61552
| 10.153736
| 9.614499
| 10.100986
| 9.590993
| 9.929284
| 10.221518
| 9.796651
| 9.81909
| 10.072037
| 9.910502
| 9.733984
|
1806.02167
|
Jiri Novotny
|
Ji\v{r}\'i Novotn\'y
|
Self-duality, helicity conservation and normal ordering in nonlinear QED
|
31 pages
|
Phys. Rev. D 98, 085015 (2018)
|
10.1103/PhysRevD.98.085015
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We give a proof of the equivalence of the electric-magnetic duality on one
side and helicity conservation of the tree level amplitudes on the other side
within general models of nonlinear electrodynamics. Using modified Feynman
rules derived from generalized normal ordered Lagrangian we discuss the
interrelation of the above two properties of the theory also at higher loops.
As an illustration we present two explicit examples, namely we find the
generalized normal ordered Lagrangian for the Born-Infeld theory and derive a
semi-closed expression for the Lagrangian of the Bossard-Nicolai model (in
terms of the weak field expansion with explicitly known coefficients) from its
normal ordered form.
|
[
{
"created": "Wed, 6 Jun 2018 13:23:27 GMT",
"version": "v1"
}
] |
2018-10-24
|
[
[
"Novotný",
"Jiří",
""
]
] |
We give a proof of the equivalence of the electric-magnetic duality on one side and helicity conservation of the tree level amplitudes on the other side within general models of nonlinear electrodynamics. Using modified Feynman rules derived from generalized normal ordered Lagrangian we discuss the interrelation of the above two properties of the theory also at higher loops. As an illustration we present two explicit examples, namely we find the generalized normal ordered Lagrangian for the Born-Infeld theory and derive a semi-closed expression for the Lagrangian of the Bossard-Nicolai model (in terms of the weak field expansion with explicitly known coefficients) from its normal ordered form.
| 11.361332
| 13.519089
| 11.522138
| 11.018571
| 11.359327
| 11.06988
| 11.31867
| 11.48334
| 11.32618
| 13.233364
| 11.401144
| 11.098805
| 10.934874
| 10.753331
| 11.316655
| 11.473154
| 11.506959
| 10.829702
| 10.824545
| 11.105022
| 10.823112
|
1811.12385
|
Bruno Le Floch
|
Joel Clingempeel and Bruno Le Floch and Mauricio Romo
|
B-brane transport in anomalous (2,2) models and localization
|
83 pages. New calculations in section 5 for partially-resolved
orbifold singularities. More explicit introduction, clearer section 6 and
improved references. To appear in the Beijing Journal of Pure and Applied
Mathematics (BPAM)
|
Beijing Journal of Pure and Applied Mathematics 1 (2024) 291-404
|
10.4310/BPAM.2024.v1.n1.a6
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study how B-branes in two-dimensional N=(2,2) anomalous models behave as
we vary the energy scale and bulk parameters in the quantum K\"ahler moduli
space. We focus on (2,2) theories defined by abelian gauged linear sigma models
(GLSM). Guided by the hemisphere partition function we find how B-branes split
in arbitrary phases into components on the Higgs branch and other branches:
this generalizes the band restriction rules of Herbst-Hori-Page to (abelian)
anomalous models.
Secondly, we address divergences in non-compact models, through the central
example of GLSMs for Hirzebruch-Jung resolutions of cyclic surface
singularities. For a brane with compact support we explain how to regularize
and compute the hemisphere partition function and extract its Higgs branch
component, which we match in the zero-instanton sector to the geometric central
charge of the brane. To this aim, we clarify the definition of zero-instanton
geometric central charge for objects in the derived category of a non-compact
toric orbifold.
|
[
{
"created": "Thu, 29 Nov 2018 18:52:16 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Nov 2023 14:43:18 GMT",
"version": "v2"
}
] |
2024-05-14
|
[
[
"Clingempeel",
"Joel",
""
],
[
"Floch",
"Bruno Le",
""
],
[
"Romo",
"Mauricio",
""
]
] |
We study how B-branes in two-dimensional N=(2,2) anomalous models behave as we vary the energy scale and bulk parameters in the quantum K\"ahler moduli space. We focus on (2,2) theories defined by abelian gauged linear sigma models (GLSM). Guided by the hemisphere partition function we find how B-branes split in arbitrary phases into components on the Higgs branch and other branches: this generalizes the band restriction rules of Herbst-Hori-Page to (abelian) anomalous models. Secondly, we address divergences in non-compact models, through the central example of GLSMs for Hirzebruch-Jung resolutions of cyclic surface singularities. For a brane with compact support we explain how to regularize and compute the hemisphere partition function and extract its Higgs branch component, which we match in the zero-instanton sector to the geometric central charge of the brane. To this aim, we clarify the definition of zero-instanton geometric central charge for objects in the derived category of a non-compact toric orbifold.
| 12.504466
| 13.842954
| 15.782746
| 13.049367
| 12.617446
| 14.627402
| 13.878414
| 13.400201
| 13.185686
| 20.155622
| 12.890147
| 12.37452
| 14.402791
| 12.41116
| 12.713698
| 12.279255
| 12.166094
| 12.477148
| 12.560355
| 13.695395
| 12.421054
|
0707.3484
|
Bei Jia
|
Bei Jia and Xi-Guo Lee
|
Small Cosmological Constants from a Modified Randall-Sundrum Model
|
6 pages
| null | null | null |
hep-th
| null |
We study a mechanism, inspired from the mechanism for generating the gauge
hierarchy in Randall-Sundrum model, to investigate the cosmological constant
problem. First we analyze the bulk cosmological constant and brane vacuum
energies in RS model. We show that the five-dimensional bulk cosmological
constant and the vacuum energies of the two branes all obtain their natural
values. Finally we argue how we can generate a small four-dimensional effective
cosmological constant on the branes through modifying the original RS model.
|
[
{
"created": "Tue, 24 Jul 2007 05:22:30 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Oct 2007 02:17:23 GMT",
"version": "v2"
}
] |
2007-10-18
|
[
[
"Jia",
"Bei",
""
],
[
"Lee",
"Xi-Guo",
""
]
] |
We study a mechanism, inspired from the mechanism for generating the gauge hierarchy in Randall-Sundrum model, to investigate the cosmological constant problem. First we analyze the bulk cosmological constant and brane vacuum energies in RS model. We show that the five-dimensional bulk cosmological constant and the vacuum energies of the two branes all obtain their natural values. Finally we argue how we can generate a small four-dimensional effective cosmological constant on the branes through modifying the original RS model.
| 9.643287
| 8.40151
| 8.97746
| 8.578155
| 9.94231
| 8.699836
| 9.005783
| 9.146338
| 8.718055
| 9.286714
| 9.05456
| 8.864069
| 8.64656
| 8.576838
| 8.979089
| 8.569824
| 8.801815
| 8.977971
| 8.7727
| 8.882353
| 8.728722
|
hep-th/0404166
|
Masato Minamitsuji
|
Masato Minamitsuji, Misao Sasaki
|
Linearized gravity on the de Sitter brane in the Einstein Gauss-Bonnet
theory
|
17 pages, some references added
|
Prog.Theor.Phys.112:451-473,2004
|
10.1143/PTP.112.451
|
YITP-4-22
|
hep-th astro-ph gr-qc
| null |
We investigate the linearized gravity on a single de Sitter brane in the
anti-de Sitter (AdS) bulk in the Einstein Gauss-Bonnet (EGB) theory. We find
that the Einstein gravity is recovered for a high energy brane, i.e., in the
limit of the large expansion rate, $H\ell\gg 1$, where $H$ is the de Sitter
expansion rate and $\ell$ is the curvature radius of the AdS bulk.
We also show that, in the short distance limit $r\ll \min\{\ell,H^{-1}\}$,
the Brans-Dicke gravity is obtained, whereas in the large distance limit
$r\gg\max\{\ell,H^{-1}\}$, the Brans-Dicke gravity is obtained for
$H\ell=O(1)$, and the Einstein gravity is recovered both for $H\ell\gg1$ and
$H\ell\ll1$. In the limit $H\ell\to0$, these results smoothly match to the
results known for the Minkowski brane.
|
[
{
"created": "Thu, 22 Apr 2004 09:03:49 GMT",
"version": "v1"
},
{
"created": "Sun, 2 May 2004 15:23:44 GMT",
"version": "v2"
}
] |
2016-09-06
|
[
[
"Minamitsuji",
"Masato",
""
],
[
"Sasaki",
"Misao",
""
]
] |
We investigate the linearized gravity on a single de Sitter brane in the anti-de Sitter (AdS) bulk in the Einstein Gauss-Bonnet (EGB) theory. We find that the Einstein gravity is recovered for a high energy brane, i.e., in the limit of the large expansion rate, $H\ell\gg 1$, where $H$ is the de Sitter expansion rate and $\ell$ is the curvature radius of the AdS bulk. We also show that, in the short distance limit $r\ll \min\{\ell,H^{-1}\}$, the Brans-Dicke gravity is obtained, whereas in the large distance limit $r\gg\max\{\ell,H^{-1}\}$, the Brans-Dicke gravity is obtained for $H\ell=O(1)$, and the Einstein gravity is recovered both for $H\ell\gg1$ and $H\ell\ll1$. In the limit $H\ell\to0$, these results smoothly match to the results known for the Minkowski brane.
| 3.751921
| 3.514532
| 3.62356
| 3.47875
| 3.581081
| 3.681179
| 3.746969
| 3.334481
| 3.445344
| 3.855375
| 3.472654
| 3.528216
| 3.528956
| 3.444794
| 3.525984
| 3.494431
| 3.551375
| 3.446131
| 3.460721
| 3.589352
| 3.55294
|
hep-th/0512188
|
Christian Duval
|
C. Duval (CPT), G. Gibbons (DAMTP), P. Horvathy (LMPT)
|
Celestial Mechanics, Conformal Structures, and Gravitational Waves
|
26 pages, LaTeX
|
Phys.Rev.D43:3907-3922,1991
|
10.1103/PhysRevD.43.3907
| null |
hep-th
| null |
The equations of motion for $N$ non-relativistic particles attracting
according to Newton's law are shown to correspond to the equations for null
geodesics in a $(3N+2)$-dimensional Lorentzian, Ricci-flat, spacetime with a
covariantly constant null vector. Such a spacetime admits a Bargmann structure
and corresponds physically to a generalized pp-wave. Bargmann electromagnetism
in five dimensions comprises the two Galilean electro-magnetic theories (Le
Bellac and L\'evy-Leblond). At the quantum level, the $N$-body Schr\"odinger
equation retains the form of a massless wave equation. We exploit the conformal
symmetries of such spacetimes to discuss some properties of the Newtonian
$N$-body problem: homographic solutions, the virial theorem, Kepler's third
law, the Lagrange-Laplace-Runge-Lenz vector arising from three conformal
Killing 2-tensors, and motions under inverse square law forces with a
gravitational constant $G(t)$ varying inversely as time (Dirac). The latter
problem is reduced to one with time independent forces for a rescaled position
vector and a new time variable; this transformation (Vinti and Lynden-Bell)
arises from a conformal transformation preserving the Ricci-flatness
(Brinkmann). A Ricci-flat metric representing $N$ non-relativistic
gravitational dyons is also pointed out. Our results for general time-dependent
$G(t)$ are applicable to the motion of point particles in an expanding
universe. Finally we extend these results to the quantum regime.
|
[
{
"created": "Thu, 15 Dec 2005 15:36:48 GMT",
"version": "v1"
}
] |
2009-07-09
|
[
[
"Duval",
"C.",
"",
"CPT"
],
[
"Gibbons",
"G.",
"",
"DAMTP"
],
[
"Horvathy",
"P.",
"",
"LMPT"
]
] |
The equations of motion for $N$ non-relativistic particles attracting according to Newton's law are shown to correspond to the equations for null geodesics in a $(3N+2)$-dimensional Lorentzian, Ricci-flat, spacetime with a covariantly constant null vector. Such a spacetime admits a Bargmann structure and corresponds physically to a generalized pp-wave. Bargmann electromagnetism in five dimensions comprises the two Galilean electro-magnetic theories (Le Bellac and L\'evy-Leblond). At the quantum level, the $N$-body Schr\"odinger equation retains the form of a massless wave equation. We exploit the conformal symmetries of such spacetimes to discuss some properties of the Newtonian $N$-body problem: homographic solutions, the virial theorem, Kepler's third law, the Lagrange-Laplace-Runge-Lenz vector arising from three conformal Killing 2-tensors, and motions under inverse square law forces with a gravitational constant $G(t)$ varying inversely as time (Dirac). The latter problem is reduced to one with time independent forces for a rescaled position vector and a new time variable; this transformation (Vinti and Lynden-Bell) arises from a conformal transformation preserving the Ricci-flatness (Brinkmann). A Ricci-flat metric representing $N$ non-relativistic gravitational dyons is also pointed out. Our results for general time-dependent $G(t)$ are applicable to the motion of point particles in an expanding universe. Finally we extend these results to the quantum regime.
| 9.761863
| 10.565536
| 9.953839
| 10.185385
| 10.182874
| 10.875608
| 10.955667
| 10.636551
| 10.288582
| 10.943428
| 10.430294
| 9.804361
| 9.659098
| 9.274545
| 9.916667
| 9.54219
| 10.235647
| 9.776767
| 9.985101
| 9.816768
| 9.828824
|
2403.06652
|
Lucia Santamaria-Sanz
|
Olalla A. Castro-Alvaredo and Luc\'ia Santamar\'ia-Sanz
|
Symmetry Resolved Measures in Quantum Field Theory: a Short Review
|
32 pages, 1 figure. v2 includes additional references
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this short review we present the key definitions, ideas and techniques
involved in the study of symmetry resolved entanglement measures, with a focus
on the symmetry resolved entanglement entropy. In order to be able to define
such entanglement measures, it is essential that the theory under study possess
an internal symmetry. Then, symmetry resolved entanglement measures quantify
the contribution to a particular entanglement measure that can be associated to
a chosen symmetry sector. Our review focuses on conformal
(gapless/massless/critical) and integrable (gapped/massive) quantum field
theories, where the leading computational technique employs symmetry fields
known as (composite) branch point twist fields.
|
[
{
"created": "Mon, 11 Mar 2024 12:17:17 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Apr 2024 11:45:51 GMT",
"version": "v2"
}
] |
2024-04-05
|
[
[
"Castro-Alvaredo",
"Olalla A.",
""
],
[
"Santamaría-Sanz",
"Lucía",
""
]
] |
In this short review we present the key definitions, ideas and techniques involved in the study of symmetry resolved entanglement measures, with a focus on the symmetry resolved entanglement entropy. In order to be able to define such entanglement measures, it is essential that the theory under study possess an internal symmetry. Then, symmetry resolved entanglement measures quantify the contribution to a particular entanglement measure that can be associated to a chosen symmetry sector. Our review focuses on conformal (gapless/massless/critical) and integrable (gapped/massive) quantum field theories, where the leading computational technique employs symmetry fields known as (composite) branch point twist fields.
| 9.867025
| 8.973095
| 10.356344
| 8.24073
| 9.016618
| 8.752569
| 9.553742
| 8.369465
| 8.100897
| 11.176574
| 8.138132
| 9.192392
| 9.293303
| 8.92881
| 8.9076
| 8.883501
| 8.914645
| 8.586925
| 8.911673
| 9.308861
| 8.636402
|
hep-th/0103230
|
Emery Sokatchev
|
G. Arutyunov, B. Eden, A. C. Petkou, E. Sokatchev
|
Exceptional non-renormalization properties and OPE analysis of chiral
four-point functions in N=4 SYM_4
|
an error in Sect. 4 corrected; references added
|
Nucl.Phys. B620 (2002) 380-404
|
10.1016/S0550-3213(01)00569-7
|
AEI-2001-35, LAPTH-841/01, IFUM-FT-683
|
hep-th
| null |
We show that certain classes of apparently unprotected operators in N=4 SYM_4
do not receive quantum corrections as a consequence of a partial
non-renormalization theorem for the 4-point function of chiral primary
operators. We develop techniques yielding the asymptotic expansion of the
4-point function of CPOs up to order O(\lambda^2) and we perform a detailed OPE
analysis. Our results reveal the existence of new non-renormalized operators of
approximate dimension 6.
|
[
{
"created": "Tue, 27 Mar 2001 20:47:58 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Jul 2001 16:36:16 GMT",
"version": "v2"
},
{
"created": "Thu, 5 Aug 2004 11:45:02 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Arutyunov",
"G.",
""
],
[
"Eden",
"B.",
""
],
[
"Petkou",
"A. C.",
""
],
[
"Sokatchev",
"E.",
""
]
] |
We show that certain classes of apparently unprotected operators in N=4 SYM_4 do not receive quantum corrections as a consequence of a partial non-renormalization theorem for the 4-point function of chiral primary operators. We develop techniques yielding the asymptotic expansion of the 4-point function of CPOs up to order O(\lambda^2) and we perform a detailed OPE analysis. Our results reveal the existence of new non-renormalized operators of approximate dimension 6.
| 9.932616
| 7.642529
| 10.247901
| 8.038567
| 7.375034
| 8.276759
| 8.028099
| 7.703383
| 7.688279
| 9.196577
| 7.922879
| 8.265203
| 8.801381
| 8.112622
| 8.070843
| 7.999619
| 8.123458
| 7.898383
| 7.926898
| 9.019224
| 8.049323
|
2105.04982
|
Ana Lucia Retore Ph.D
|
Rafael I. Nepomechie, Ana L. Retore
|
Spin chains with boundary inhomogeneities
|
15 pages; v2: minor changes, version accepted in JHEP
| null |
10.1007/JHEP08(2021)053
|
UMTG-310
|
hep-th cond-mat.stat-mech math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the effect of introducing a boundary inhomogeneity in the
transfer matrix of an integrable open quantum spin chain. We find that it is
possible to construct a local Hamiltonian, and to have quantum group symmetry.
The boundary inhomogeneity has a profound effect on the Bethe ansatz solution.
|
[
{
"created": "Tue, 11 May 2021 12:37:30 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Aug 2021 14:59:30 GMT",
"version": "v2"
}
] |
2021-09-01
|
[
[
"Nepomechie",
"Rafael I.",
""
],
[
"Retore",
"Ana L.",
""
]
] |
We investigate the effect of introducing a boundary inhomogeneity in the transfer matrix of an integrable open quantum spin chain. We find that it is possible to construct a local Hamiltonian, and to have quantum group symmetry. The boundary inhomogeneity has a profound effect on the Bethe ansatz solution.
| 8.672737
| 7.166561
| 9.888284
| 8.070781
| 7.921298
| 6.763451
| 7.060647
| 7.159888
| 7.426922
| 9.53273
| 7.473638
| 7.84761
| 9.296366
| 7.935781
| 7.854952
| 7.864034
| 7.894787
| 7.740792
| 7.661991
| 9.294442
| 7.6802
|
0705.2346
|
Jonas Persson
|
Jonas Persson
|
Strings as sigma models and in the tensionless limit
|
PhD Thesis, viii+127 pages
| null | null |
UUITP-09/07
|
hep-th
| null |
This thesis considers two different aspects of string theory, the tensionless
limit of the string and supersymmetric sigma models. The tensionless limit is
used to find a IIB supergravity background generated by a tensionless string.
Quantization of the tensionless string in a pp-wave background is performed and
the tensionless limit is found to commute with quantization. Further, the sigma
model with N=(2,2) extended world-sheet supersymmetry is considered and the
requirement on the target space to have a bi-Hermitean geometry is reviewed. It
is shown that the equivalence between bi-Hermitean geometry and generalized
Kahler follows, in this context, from the equivalence between the Lagrangian-
and Hamiltonian formulation of the model. Moreover, the explicit T-duality
transformation in the Hamiltonian formulation of the sigma model is constructed
and shown to be a symplectomorphism. Under certain assumptions, the amount of
extended supersymmetry present in the sigma model is shown to be preserved
under T-duality. Further, by requiring N=(2,2) extended supersymmetry in a
first order formulation of the sigma model an intriguing geometrical structure
arises and in a special case generalized complex geometry is found to be
contained in the new framework.
|
[
{
"created": "Wed, 16 May 2007 13:16:07 GMT",
"version": "v1"
}
] |
2009-04-16
|
[
[
"Persson",
"Jonas",
""
]
] |
This thesis considers two different aspects of string theory, the tensionless limit of the string and supersymmetric sigma models. The tensionless limit is used to find a IIB supergravity background generated by a tensionless string. Quantization of the tensionless string in a pp-wave background is performed and the tensionless limit is found to commute with quantization. Further, the sigma model with N=(2,2) extended world-sheet supersymmetry is considered and the requirement on the target space to have a bi-Hermitean geometry is reviewed. It is shown that the equivalence between bi-Hermitean geometry and generalized Kahler follows, in this context, from the equivalence between the Lagrangian- and Hamiltonian formulation of the model. Moreover, the explicit T-duality transformation in the Hamiltonian formulation of the sigma model is constructed and shown to be a symplectomorphism. Under certain assumptions, the amount of extended supersymmetry present in the sigma model is shown to be preserved under T-duality. Further, by requiring N=(2,2) extended supersymmetry in a first order formulation of the sigma model an intriguing geometrical structure arises and in a special case generalized complex geometry is found to be contained in the new framework.
| 6.775506
| 6.487193
| 7.404111
| 6.127035
| 6.428707
| 6.694964
| 6.674846
| 6.477121
| 6.365599
| 7.362965
| 6.546556
| 6.354826
| 6.779933
| 6.511167
| 6.435016
| 6.40968
| 6.389671
| 6.462644
| 6.576588
| 6.884046
| 6.541348
|
1012.4867
|
Olivera Miskovic
|
Olivera Miskovic and Rodrigo Olea
|
Quantum Statistical Relation for black holes in nonlinear
electrodynamics coupled to Einstein-Gauss-Bonnet AdS gravity
|
22 pages, no figures; 3 references and a subsection on Thermodynamic
Charges added; Final version for PRD
|
Phys.Rev.D83:064017,2011
|
10.1103/PhysRevD.83.064017
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider curvature-squared corrections to Einstein-Hilbert gravity action
in the form of Gauss-Bonnet term in D>4 dimensions. In this theory, we study
the thermodynamics of charged static black holes with anti-de Sitter (AdS)
asymptotics, and whose electric field is described by nonlinear electrodynamics
(NED). These objects have received considerable attention in recent literature
on gravity/gauge dualities.
It is well-known that, within the framework of anti de-Sitter/Conformal Field
Theory (AdS/CFT) correspondence, there exists a nonvanishing Casimir
contribution to the internal energy of the system, manifested as the vacuum
energy for global AdS spacetime in odd dimensions. Because of this reason, we
derive a Quantum Statistical Relation directly from the Euclidean action and
not from the integration of the First Law of thermodynamics. To this end, we
employ a background-independent regularization scheme which consists in the
addition to the bulk action of counterterms that depend on both extrinsic and
intrinsic curvatures of the boundary (Kounterterm series). This procedure
results in a consistent inclusion of the vacuum energy and chemical potential
in the thermodynamic description for Einstein-Gauss-Bonnet AdS gravity
regardless the explicit form of the NED Lagrangian.
|
[
{
"created": "Wed, 22 Dec 2010 02:57:11 GMT",
"version": "v1"
},
{
"created": "Sat, 19 Feb 2011 14:22:34 GMT",
"version": "v2"
}
] |
2011-03-22
|
[
[
"Miskovic",
"Olivera",
""
],
[
"Olea",
"Rodrigo",
""
]
] |
We consider curvature-squared corrections to Einstein-Hilbert gravity action in the form of Gauss-Bonnet term in D>4 dimensions. In this theory, we study the thermodynamics of charged static black holes with anti-de Sitter (AdS) asymptotics, and whose electric field is described by nonlinear electrodynamics (NED). These objects have received considerable attention in recent literature on gravity/gauge dualities. It is well-known that, within the framework of anti de-Sitter/Conformal Field Theory (AdS/CFT) correspondence, there exists a nonvanishing Casimir contribution to the internal energy of the system, manifested as the vacuum energy for global AdS spacetime in odd dimensions. Because of this reason, we derive a Quantum Statistical Relation directly from the Euclidean action and not from the integration of the First Law of thermodynamics. To this end, we employ a background-independent regularization scheme which consists in the addition to the bulk action of counterterms that depend on both extrinsic and intrinsic curvatures of the boundary (Kounterterm series). This procedure results in a consistent inclusion of the vacuum energy and chemical potential in the thermodynamic description for Einstein-Gauss-Bonnet AdS gravity regardless the explicit form of the NED Lagrangian.
| 7.893229
| 7.919041
| 8.311268
| 7.119545
| 7.884298
| 7.407408
| 7.587214
| 7.965683
| 7.398877
| 8.680631
| 7.527154
| 7.568679
| 7.663976
| 7.554678
| 7.514567
| 7.415149
| 7.743074
| 7.669528
| 7.510151
| 7.809498
| 7.613567
|
hep-th/0307287
|
Kenichi Konishi
|
Roberto Auzzi, Stefano Bolognesi, Jarah Evslin, Kenichi Konishi,
Alexei Yung
|
Nonabelian Superconductors: Vortices and Confinement in ${\cal N}=2$
SQCD
|
37 pages Latex, 6 eps figures, Typos corrected and a few sentences
added or corrected
|
Nucl.Phys.B673:187-216,2003
|
10.1016/j.nuclphysb.2003.09.029
|
IFUP-TH/2003-23, ITEP-TH-42/03, TIT-HEP/506
|
hep-th
| null |
We study nonabelian vortices (flux tubes) in SU(N) gauge theories, which are
responsible for the confinement of (nonabelian) magnetic monopoles. In
particular a detailed analysis is given of ${\cal N}=2$ SQCD with gauge group
SU(3) deformed by a small adjoint chiral multiplet mass. Tuning the bare quark
masses (which we take to be large) to a common value $m$, we consider a
particular vacuum of this theory in which an SU(2) subgroup of the gauge group
remains unbroken. We consider $5 \ge N_f \ge 4$ flavors so that the SU(2)
sub-sector remains non asymptotically free: the vortices carrying nonabelian
fluxes may be reliably studied in a semi-classical regime. We show that the
vortices indeed acquire exact zero modes which generate global rotations of the
flux in an $SU(2)_{C+F}$ group. We study an effective world-sheet theory of
these orientational zero modes which reduces to an ${\cal N}=2$ O(3) sigma
model in (1+1) dimensions. Mirror symmetry then teaches us that the dual SU(2)
group is not dynamically broken.
|
[
{
"created": "Wed, 30 Jul 2003 06:43:20 GMT",
"version": "v1"
},
{
"created": "Sat, 23 Aug 2003 04:14:42 GMT",
"version": "v2"
}
] |
2010-05-27
|
[
[
"Auzzi",
"Roberto",
""
],
[
"Bolognesi",
"Stefano",
""
],
[
"Evslin",
"Jarah",
""
],
[
"Konishi",
"Kenichi",
""
],
[
"Yung",
"Alexei",
""
]
] |
We study nonabelian vortices (flux tubes) in SU(N) gauge theories, which are responsible for the confinement of (nonabelian) magnetic monopoles. In particular a detailed analysis is given of ${\cal N}=2$ SQCD with gauge group SU(3) deformed by a small adjoint chiral multiplet mass. Tuning the bare quark masses (which we take to be large) to a common value $m$, we consider a particular vacuum of this theory in which an SU(2) subgroup of the gauge group remains unbroken. We consider $5 \ge N_f \ge 4$ flavors so that the SU(2) sub-sector remains non asymptotically free: the vortices carrying nonabelian fluxes may be reliably studied in a semi-classical regime. We show that the vortices indeed acquire exact zero modes which generate global rotations of the flux in an $SU(2)_{C+F}$ group. We study an effective world-sheet theory of these orientational zero modes which reduces to an ${\cal N}=2$ O(3) sigma model in (1+1) dimensions. Mirror symmetry then teaches us that the dual SU(2) group is not dynamically broken.
| 7.744046
| 8.027234
| 8.410337
| 7.756828
| 8.053925
| 8.54736
| 8.397996
| 7.92961
| 8.007727
| 9.241369
| 7.905983
| 7.827693
| 7.78816
| 7.663939
| 7.994757
| 8.041779
| 7.870376
| 7.815161
| 7.693411
| 8.013302
| 7.667162
|
1309.5343
|
Lawrence M. Krauss
|
Lawrence M. Krauss (1,2) and Frank Wilczek (3) ((1) Arizona State
University, (2) Australian National Univeresity, (3) MIT)
|
Using Cosmology to Establish the Quantization of Gravity
|
4 pages, no figures, revised in response to referee's reports.
Accepted for publication in PRD
|
Phys. Rev. D 89, 047501 (2014)
|
10.1103/PhysRevD.89.047501
|
MIT-CTP/4497
|
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
While many aspects of general relativity have been tested, and general
principles of quantum dynamics demand its quantization, there is no direct
evidence for that. It has been argued that development of detectors sensitive
to individual gravitons is unlikely, and perhaps impossible. We argue here,
however, that measurement of polarization of the Cosmic Microwave Background
due to a long wavelength stochastic background of gravitational waves from
Inflation in the Early Universe would firmly establish the quantization of
gravity.
|
[
{
"created": "Fri, 20 Sep 2013 18:51:25 GMT",
"version": "v1"
},
{
"created": "Sun, 19 Jan 2014 18:42:09 GMT",
"version": "v2"
}
] |
2014-03-04
|
[
[
"Krauss",
"Lawrence M.",
""
],
[
"Wilczek",
"Frank",
""
]
] |
While many aspects of general relativity have been tested, and general principles of quantum dynamics demand its quantization, there is no direct evidence for that. It has been argued that development of detectors sensitive to individual gravitons is unlikely, and perhaps impossible. We argue here, however, that measurement of polarization of the Cosmic Microwave Background due to a long wavelength stochastic background of gravitational waves from Inflation in the Early Universe would firmly establish the quantization of gravity.
| 13.680537
| 13.679533
| 11.604571
| 11.764709
| 13.493772
| 14.474633
| 13.663222
| 11.690647
| 12.758512
| 12.449128
| 12.10809
| 12.556643
| 12.762156
| 12.018611
| 11.936742
| 12.60074
| 12.52424
| 11.985341
| 12.18363
| 11.822775
| 12.341742
|
hep-th/9607074
| null |
Carl M. Bender and Luis M. A. Bettencourt
|
Multiple-Scale Analysis of Quantum Systems
|
30 pages, LaTeX/RevTeX, no figures. Available through anonymous ftp
from ftp://euclid.tp.ph.ic.ac.uk/papers/ or on WWW at
http://euclid.tp.ph.ic.ac.uk/Papers/
|
Phys.Rev. D54 (1996) 7710-7723
|
10.1103/PhysRevD.54.7710
|
Imperial/TP/95-96/51
|
hep-th cond-mat hep-ph quant-ph
| null |
Conventional weak-coupling Rayleigh-Schr\"odinger perturbation theory suffers
from problems that arise from resonant coupling of successive orders in the
perturbation series. Multiple-scale analysis, a powerful and sophisticated
perturbative method that quantitatively analyzes characteristic physical
behaviors occurring on various length or time scales, avoids such problems by
implicitly performing an infinite resummation of the conventional perturbation
series. Multiple-scale perturbation theory provides a good description of the
classical anharmonic oscillator. Here, it is extended to study (1) the
Heisenberg operator equations of motion and (2) the Schr\"odinger equation for
the quantum anharmonic oscillator. In the former case, it leads to a system of
coupled operator differential equations, which is solved exactly. The solution
provides an operator mass renormalization of the theory. In the latter case,
multiple-scale analysis elucidates the connection between weak-coupling
perturbative and semiclassical nonperturbative aspects of the wave function.
|
[
{
"created": "Tue, 9 Jul 1996 17:12:49 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Bender",
"Carl M.",
""
],
[
"Bettencourt",
"Luis M. A.",
""
]
] |
Conventional weak-coupling Rayleigh-Schr\"odinger perturbation theory suffers from problems that arise from resonant coupling of successive orders in the perturbation series. Multiple-scale analysis, a powerful and sophisticated perturbative method that quantitatively analyzes characteristic physical behaviors occurring on various length or time scales, avoids such problems by implicitly performing an infinite resummation of the conventional perturbation series. Multiple-scale perturbation theory provides a good description of the classical anharmonic oscillator. Here, it is extended to study (1) the Heisenberg operator equations of motion and (2) the Schr\"odinger equation for the quantum anharmonic oscillator. In the former case, it leads to a system of coupled operator differential equations, which is solved exactly. The solution provides an operator mass renormalization of the theory. In the latter case, multiple-scale analysis elucidates the connection between weak-coupling perturbative and semiclassical nonperturbative aspects of the wave function.
| 7.520998
| 6.539987
| 7.675859
| 7.05165
| 6.805273
| 6.621114
| 6.868075
| 6.754809
| 6.844573
| 7.52648
| 6.922394
| 7.158512
| 7.543332
| 7.167927
| 7.114153
| 7.146563
| 7.17264
| 6.974911
| 7.083696
| 7.367481
| 7.101642
|
2207.13726
|
Tobias Schroeder
|
Martin Enriquez-Rojo, Tobias Schroeder
|
Asymptotic symmetries and memories of gauge theories in FLRW spacetimes
|
32+9 pages, 2 figures
|
JHEP 01 (2023) 11
|
10.1007/JHEP01(2023)011
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we investigate the asymptotic structure of gauge theories in
decelerating and spatially flat Friedmann-Lema\^itre-Robertson-Walker
universes. Firstly, we thoroughly explore the asymptotic symmetries of
electrodynamics in this background, which reveals a major inconsistency already
present in the flat case. Taking advantage of this treatment, we derive the
associated memory effects, discussing their regime of validity and differences
with respect to their flat counterparts. Next, we extend our analysis to
non-Abelian Yang-Mills, coupling it dynamically and simultaneously to a Dirac
spinor and a complex scalar field. Within this novel setting, we examine the
possibility of constructing Poisson superbrackets based on the covariant phase
space formalism.
|
[
{
"created": "Wed, 27 Jul 2022 18:01:03 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Oct 2022 15:22:29 GMT",
"version": "v2"
}
] |
2023-01-24
|
[
[
"Enriquez-Rojo",
"Martin",
""
],
[
"Schroeder",
"Tobias",
""
]
] |
In this paper, we investigate the asymptotic structure of gauge theories in decelerating and spatially flat Friedmann-Lema\^itre-Robertson-Walker universes. Firstly, we thoroughly explore the asymptotic symmetries of electrodynamics in this background, which reveals a major inconsistency already present in the flat case. Taking advantage of this treatment, we derive the associated memory effects, discussing their regime of validity and differences with respect to their flat counterparts. Next, we extend our analysis to non-Abelian Yang-Mills, coupling it dynamically and simultaneously to a Dirac spinor and a complex scalar field. Within this novel setting, we examine the possibility of constructing Poisson superbrackets based on the covariant phase space formalism.
| 9.540174
| 8.687697
| 8.911093
| 8.731102
| 8.476291
| 8.999442
| 8.740885
| 8.613479
| 9.06795
| 9.425848
| 8.742713
| 8.821602
| 8.863088
| 8.662815
| 8.683912
| 8.884753
| 8.668576
| 8.602336
| 8.428094
| 8.807552
| 8.606205
|
hep-th/0603244
|
L\'aszl\'o \'A Gergely
|
L\'aszl\'o \'A. Gergely
|
Brane-world cosmology with black strings
|
6 pages, 4 figures; expanded version, references added, to appear in
Physical Review D
|
Phys.Rev. D74 (2006) 024002
|
10.1103/PhysRevD.74.024002
| null |
hep-th astro-ph gr-qc
| null |
We consider the simplest scenario when black strings / cigars penetrate the
cosmological brane. As a result, the brane has a Swiss-cheese structure, with
Schwarzschild black holes immersed in a
Friedmann-Lema\^{\i}tre-Robertson-Walker brane. There is no dark radiation in
the model, the cosmological regions of the brane are characterized by a
cosmological constant $\Lambda $ and flat spatial sections. Regardless of the
value of $\Lambda $, these brane-world universes forever expand and forever
decelerate. The totality of source terms in the modified Einstein equation sum
up to a dust, establishing a formal equivalence with the general relativistic
Einstein-Straus model. However in this brane-world scenario with black strings
the evolution of the cosmological fluid strongly depends on $\Lambda $. For
$\Lambda \leq 0$ it has positive energy density $\rho $ and negative pressure
$p$ and at late times it behaves as in the Einstein-Straus model. For (not too
high) positive values of $\Lambda $ the cosmological evolution begins with
positive $\rho $ and negative $p$, but this is followed by an epoch with both
$\rho $ and $p$ positive. Eventually, $\rho $ becomes negative, while $p$ stays
positive. A similar evolution is present for high positive values of $\Lambda
$, however in this case the evolution ends in a pressure singularity,
accompanied by a regular behaviour of the cosmic acceleration. This is a novel
type of singularity appearing in brane-worlds.
|
[
{
"created": "Thu, 30 Mar 2006 16:56:08 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Jun 2006 20:35:09 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Gergely",
"László Á.",
""
]
] |
We consider the simplest scenario when black strings / cigars penetrate the cosmological brane. As a result, the brane has a Swiss-cheese structure, with Schwarzschild black holes immersed in a Friedmann-Lema\^{\i}tre-Robertson-Walker brane. There is no dark radiation in the model, the cosmological regions of the brane are characterized by a cosmological constant $\Lambda $ and flat spatial sections. Regardless of the value of $\Lambda $, these brane-world universes forever expand and forever decelerate. The totality of source terms in the modified Einstein equation sum up to a dust, establishing a formal equivalence with the general relativistic Einstein-Straus model. However in this brane-world scenario with black strings the evolution of the cosmological fluid strongly depends on $\Lambda $. For $\Lambda \leq 0$ it has positive energy density $\rho $ and negative pressure $p$ and at late times it behaves as in the Einstein-Straus model. For (not too high) positive values of $\Lambda $ the cosmological evolution begins with positive $\rho $ and negative $p$, but this is followed by an epoch with both $\rho $ and $p$ positive. Eventually, $\rho $ becomes negative, while $p$ stays positive. A similar evolution is present for high positive values of $\Lambda $, however in this case the evolution ends in a pressure singularity, accompanied by a regular behaviour of the cosmic acceleration. This is a novel type of singularity appearing in brane-worlds.
| 8.128801
| 9.021821
| 8.343831
| 8.198088
| 9.036173
| 9.377942
| 8.640328
| 7.797253
| 8.911985
| 8.324883
| 8.888576
| 8.432557
| 8.005322
| 8.05006
| 8.345381
| 8.219691
| 8.474086
| 8.141989
| 8.306976
| 8.176183
| 8.098295
|
hep-th/0701022
|
Troels Harmark
|
Troels Harmark, Vasilis Niarchos, Niels A. Obers
|
Instabilities of Black Strings and Branes
|
119 pages, 16 figures. Invited review for Classical and Quantum
Gravity
|
Class.Quant.Grav.24:R1-R90,2007
|
10.1088/0264-9381/24/8/R01
|
CPHT-RR114.1206
|
hep-th gr-qc
| null |
We review recent progress on the instabilities of black strings and branes
both for pure Einstein gravity as well as supergravity theories which are
relevant for string theory. We focus mainly on Gregory-Laflamme instabilities.
In the first part of the review we provide a detailed discussion of the
classical gravitational instability of the neutral uniform black string in
higher dimensional gravity. The uniform black string is part of a larger phase
diagram of Kaluza-Klein black holes which will be discussed thoroughly. This
phase diagram exhibits many interesting features including new phases,
non-uniqueness and horizon-topology changing transitions. In the second part,
we turn to charged black branes in supergravity and show how the
Gregory-Laflamme instability of the neutral black string implies via a
boost/U-duality map similar instabilities for non- and near-extremal smeared
branes in string theory. We also comment on instabilities of D-brane bound
states. The connection between classical and thermodynamic stability, known as
the correlated stability conjecture, is also reviewed and illustrated with
examples. Finally, we examine the holographic implications of the
Gregory-Laflamme instability for a number of non-gravitational theories
including Yang-Mills theories and Little String Theory.
|
[
{
"created": "Wed, 3 Jan 2007 15:07:10 GMT",
"version": "v1"
},
{
"created": "Sun, 7 Oct 2007 14:59:16 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Harmark",
"Troels",
""
],
[
"Niarchos",
"Vasilis",
""
],
[
"Obers",
"Niels A.",
""
]
] |
We review recent progress on the instabilities of black strings and branes both for pure Einstein gravity as well as supergravity theories which are relevant for string theory. We focus mainly on Gregory-Laflamme instabilities. In the first part of the review we provide a detailed discussion of the classical gravitational instability of the neutral uniform black string in higher dimensional gravity. The uniform black string is part of a larger phase diagram of Kaluza-Klein black holes which will be discussed thoroughly. This phase diagram exhibits many interesting features including new phases, non-uniqueness and horizon-topology changing transitions. In the second part, we turn to charged black branes in supergravity and show how the Gregory-Laflamme instability of the neutral black string implies via a boost/U-duality map similar instabilities for non- and near-extremal smeared branes in string theory. We also comment on instabilities of D-brane bound states. The connection between classical and thermodynamic stability, known as the correlated stability conjecture, is also reviewed and illustrated with examples. Finally, we examine the holographic implications of the Gregory-Laflamme instability for a number of non-gravitational theories including Yang-Mills theories and Little String Theory.
| 7.198392
| 7.204331
| 8.247268
| 6.984999
| 6.899537
| 7.459601
| 7.376362
| 7.008204
| 7.210921
| 8.417167
| 7.056931
| 7.284884
| 7.352558
| 7.0433
| 7.211234
| 7.25421
| 7.160357
| 7.277431
| 7.089498
| 7.550171
| 7.094791
|
hep-th/9910151
|
DaeKil Park
|
D. K. Park, H. J. W. M\"uller-Kirsten, J. -Q. Liang
|
Winding Number Transitions in the Mottola-Wipf Model on a Circle
|
17pages + 5 ps figures, final version to appear in Nucl. Phys. B
|
Nucl.Phys. B578 (2000) 728-742
|
10.1016/S0550-3213(00)00175-9
| null |
hep-th
| null |
Winding number transitions from quantum to classical behavior are studied in
the case of the {1+1} dimensional Mottola-Wipf model with the space coordinate
on a circle for exploring the possibility of obtaining transitions of second
order. The model is also studied as a prototype theory which demonstrates the
procedure of such investigations. In the model at hand we find that even on a
circle the transitions remain those of first order.
|
[
{
"created": "Tue, 19 Oct 1999 02:02:40 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Mar 2000 01:22:54 GMT",
"version": "v2"
}
] |
2016-08-15
|
[
[
"Park",
"D. K.",
""
],
[
"Müller-Kirsten",
"H. J. W.",
""
],
[
"Liang",
"J. -Q.",
""
]
] |
Winding number transitions from quantum to classical behavior are studied in the case of the {1+1} dimensional Mottola-Wipf model with the space coordinate on a circle for exploring the possibility of obtaining transitions of second order. The model is also studied as a prototype theory which demonstrates the procedure of such investigations. In the model at hand we find that even on a circle the transitions remain those of first order.
| 10.506863
| 14.489645
| 15.53228
| 15.401229
| 14.633625
| 14.183889
| 13.932184
| 13.463078
| 13.562872
| 18.004375
| 13.79777
| 12.892108
| 13.031052
| 13.339576
| 13.129215
| 12.86377
| 12.700244
| 12.705571
| 13.442863
| 13.096253
| 12.951936
|
hep-th/0412235
|
Fernando Ruiz
|
V. Gayral, J.M. Gracia-Bondia, F. Ruiz Ruiz
|
Trouble with space-like noncommutative field theory
|
1+7 pages. v2: two references added
|
Phys.Lett.B610:141-146,2005
|
10.1016/j.physletb.2005.02.011
|
CPT-2004/P.136, UCM-FTI-04/121
|
hep-th
| null |
It is argued that the one-loop effective action for a space-like
noncommutative scalar field theory does not exist. This indicates that such
theories are not renormalizable already at one loop order and suggests
supersymmetrization and reinvestigating other types of noncommutativity.
|
[
{
"created": "Mon, 20 Dec 2004 18:41:45 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Feb 2005 17:52:51 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Gayral",
"V.",
""
],
[
"Gracia-Bondia",
"J. M.",
""
],
[
"Ruiz",
"F. Ruiz",
""
]
] |
It is argued that the one-loop effective action for a space-like noncommutative scalar field theory does not exist. This indicates that such theories are not renormalizable already at one loop order and suggests supersymmetrization and reinvestigating other types of noncommutativity.
| 12.212194
| 10.542383
| 10.970732
| 9.658377
| 9.226828
| 10.044436
| 9.439327
| 9.863894
| 9.886838
| 12.83363
| 9.836856
| 10.57513
| 10.372305
| 9.997385
| 10.054529
| 10.230054
| 10.448587
| 9.851134
| 10.336835
| 10.35894
| 9.916769
|
0706.0410
|
Sushil Srivastava
|
S. K. Srivastava
|
Curvature Inspired Cosmological Scenario
|
19 Pages. To appear in Int. J. Thro. Phys
|
Int.J.Theor.Phys.47:1966-1978,2008
|
10.1007/s10773-007-9640-7
| null |
hep-th astro-ph gr-qc
| null |
Using modified gravity with non-linear terms of curvature, $R^2$ and $R^{(r
+2)}$ (with $r$ being the positive real number and $R$ being the scalar
curvature), cosmological scenario,beginning at the Planck scale, is obtained.
Here, a unified picture of cosmology is obtained from $f(R)-$ gravity. In this
scenario, universe begins with power-law inflation, followed by deceleration
and acceleration in the late universe as well as possible collapse of the
universe in future. It is different from $f(R)-$ dark energy models with
non-linear curvature terms assumed as dark energy. Here, dark energy terms are
induced by linear as well as non-linear terms of curvature in Friedmann
equation being derived from modified gravity.It is also interesting to see
that, in this model, dark radiation and dark matter terms emerge spontaneously
from the gravitational sector. It is found that dark energy, obtained here,
behaves as quintessence in the early universe and phantom in the late universe.
Moreover, analogous to brane-tension in brane-gravity inspired Friedmann
equation, a tension term $\lambda$ arises here being called as cosmic tension.
It is found that, in the late universe, Friedmann equation (obtained here)
contains a term $- \rho^2/2\lambda$ ($\rho$ being the phantom energy density)
analogous to a similar term in Friedmann equation with loop quantum effects, if
$\lambda > 0$ and brane-gravity correction when $\lambda < 0.$
|
[
{
"created": "Mon, 4 Jun 2007 11:03:17 GMT",
"version": "v1"
},
{
"created": "Sun, 6 Jan 2008 03:42:02 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Srivastava",
"S. K.",
""
]
] |
Using modified gravity with non-linear terms of curvature, $R^2$ and $R^{(r +2)}$ (with $r$ being the positive real number and $R$ being the scalar curvature), cosmological scenario,beginning at the Planck scale, is obtained. Here, a unified picture of cosmology is obtained from $f(R)-$ gravity. In this scenario, universe begins with power-law inflation, followed by deceleration and acceleration in the late universe as well as possible collapse of the universe in future. It is different from $f(R)-$ dark energy models with non-linear curvature terms assumed as dark energy. Here, dark energy terms are induced by linear as well as non-linear terms of curvature in Friedmann equation being derived from modified gravity.It is also interesting to see that, in this model, dark radiation and dark matter terms emerge spontaneously from the gravitational sector. It is found that dark energy, obtained here, behaves as quintessence in the early universe and phantom in the late universe. Moreover, analogous to brane-tension in brane-gravity inspired Friedmann equation, a tension term $\lambda$ arises here being called as cosmic tension. It is found that, in the late universe, Friedmann equation (obtained here) contains a term $- \rho^2/2\lambda$ ($\rho$ being the phantom energy density) analogous to a similar term in Friedmann equation with loop quantum effects, if $\lambda > 0$ and brane-gravity correction when $\lambda < 0.$
| 9.647502
| 9.983177
| 9.145529
| 9.420116
| 10.186128
| 10.148836
| 9.960814
| 9.463292
| 9.257968
| 9.954255
| 9.413146
| 9.262341
| 9.479273
| 9.175421
| 9.476783
| 9.491618
| 9.431245
| 9.303466
| 9.201277
| 9.332493
| 9.198982
|
hep-th/0108188
|
Masaru Kamata
|
Masaru Kamata and Atsushi Nakamula
|
A q-analog of the ADHMN construction and axisymmetric multi-instantons
|
11pages, Latex2e, to appear in Journal of Physics A: Mathematical and
General as a `Special Issue/Difference Equations'
|
J.Phys.A34:10441-10452,2001
|
10.1088/0305-4470/34/48/309
| null |
hep-th
| null |
In the preceding paper (Phys. Lett. B463 (1999) 257), the authors presented a
q-analog of the ADHMN construction and obtained a family of anti-selfdual
configurations with a parameter q for classical SU(2) Yang-Mills theory in
four-dimensional Euclidean space. The family of solutions can be seen as a
q-analog of the single BPS monopole preserving (anti-)selfduality. Further
discussion is made on the relation to axisymmetric ansatz on anti-selfdual
equation given by Witten in the late seventies. It is found that the
q-exponential functions familiar in q-analysis appear as analytic functions
categorizing the anti-selfdual configurations yielded by axisymmetric ansatz.
|
[
{
"created": "Sat, 25 Aug 2001 12:00:03 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Kamata",
"Masaru",
""
],
[
"Nakamula",
"Atsushi",
""
]
] |
In the preceding paper (Phys. Lett. B463 (1999) 257), the authors presented a q-analog of the ADHMN construction and obtained a family of anti-selfdual configurations with a parameter q for classical SU(2) Yang-Mills theory in four-dimensional Euclidean space. The family of solutions can be seen as a q-analog of the single BPS monopole preserving (anti-)selfduality. Further discussion is made on the relation to axisymmetric ansatz on anti-selfdual equation given by Witten in the late seventies. It is found that the q-exponential functions familiar in q-analysis appear as analytic functions categorizing the anti-selfdual configurations yielded by axisymmetric ansatz.
| 10.592847
| 10.688466
| 10.83652
| 10.308322
| 10.796417
| 9.672486
| 10.695971
| 9.916953
| 9.88641
| 12.525155
| 9.668599
| 9.910557
| 10.400046
| 9.674242
| 9.638224
| 10.041478
| 9.400118
| 9.509873
| 10.0144
| 10.236331
| 9.645189
|
hep-th/0002170
|
Gleb Arutyunov
|
G.Arutyunov and S.Frolov
|
Four-point Functions of Lowest Weight CPOs in N=4 SYM_4 in Supergravity
Approximation
|
Latex, 21p, misprints are corrected
|
Phys.Rev.D62:064016,2000
|
10.1103/PhysRevD.62.064016
|
LMU-TPW 007, UAHEP002
|
hep-th
| null |
We show that the recently found quartic action for the scalars from the
massless graviton multiplet of type IIB supergravity compactified on
AdS_5\times S^5 background coincides with the relevant part of the action of
the gauged N=8 5d supergravity on AdS_5. We then use this action to compute the
4-point function of the lowest weight chiral primary operators
$\tr(\phi^{(i}\phi^{j)})$ in N=4 SYM_4 at large $N$ and at strong `t Hooft
coupling.
|
[
{
"created": "Mon, 21 Feb 2000 20:58:48 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Apr 2000 16:57:00 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Arutyunov",
"G.",
""
],
[
"Frolov",
"S.",
""
]
] |
We show that the recently found quartic action for the scalars from the massless graviton multiplet of type IIB supergravity compactified on AdS_5\times S^5 background coincides with the relevant part of the action of the gauged N=8 5d supergravity on AdS_5. We then use this action to compute the 4-point function of the lowest weight chiral primary operators $\tr(\phi^{(i}\phi^{j)})$ in N=4 SYM_4 at large $N$ and at strong `t Hooft coupling.
| 6.415217
| 5.226252
| 7.480077
| 5.698275
| 5.87464
| 6.056665
| 5.518386
| 5.12235
| 5.446251
| 7.632329
| 5.371127
| 5.73285
| 6.576653
| 5.733617
| 5.901237
| 5.60846
| 5.515058
| 5.322873
| 5.589973
| 6.394111
| 5.450456
|
1612.06765
|
Javier Magan
|
Javier M. Magan
|
Decoherence and Microscopic Diffusion at SYK
|
9 pages. Expanded and reorganized results. Decoherence proven at all
times. New references added
|
Phys. Rev. D 98, 026015 (2018)
|
10.1103/PhysRevD.98.026015
| null |
hep-th cond-mat.str-el gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Sachdev-Ye-Kitaev (SYK) or embedded random ensembles are models of $N$
fermions with random k-body interactions. They play an important role in
understanding black hole dynamics, quantum chaos, and thermalization. We study
out of equilibrium scenarios in these systems and show they display perfect
decoherence at all times. This peculiar feature makes them very attractive in
the context of the quantum-to-classical transition and the emergence of
classical general relativity. Based on this feature and unitarity, we propose a
rate/continuity equation for the dynamics of the $\mathcal{O}(e^N)$ microstates
probabilities. The effective permutation symmetry of the models drastically
reduces the number of variables, allowing for compact expressions of n-point
correlation functions and entropy of the microscopic distribution. Further
assuming a generalized Fermi golden rule allows finding analytic formulas for
the kernel spectrum at finite $N$, providing a series of short and long time
scales controlling the out of equilibrium dynamics of this model. This approach
to chaos, long time scales, and $1/N$ corrections might be tested in future
experiments.
|
[
{
"created": "Tue, 20 Dec 2016 17:13:40 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Dec 2016 21:30:20 GMT",
"version": "v2"
},
{
"created": "Mon, 8 May 2017 19:13:10 GMT",
"version": "v3"
}
] |
2018-07-18
|
[
[
"Magan",
"Javier M.",
""
]
] |
Sachdev-Ye-Kitaev (SYK) or embedded random ensembles are models of $N$ fermions with random k-body interactions. They play an important role in understanding black hole dynamics, quantum chaos, and thermalization. We study out of equilibrium scenarios in these systems and show they display perfect decoherence at all times. This peculiar feature makes them very attractive in the context of the quantum-to-classical transition and the emergence of classical general relativity. Based on this feature and unitarity, we propose a rate/continuity equation for the dynamics of the $\mathcal{O}(e^N)$ microstates probabilities. The effective permutation symmetry of the models drastically reduces the number of variables, allowing for compact expressions of n-point correlation functions and entropy of the microscopic distribution. Further assuming a generalized Fermi golden rule allows finding analytic formulas for the kernel spectrum at finite $N$, providing a series of short and long time scales controlling the out of equilibrium dynamics of this model. This approach to chaos, long time scales, and $1/N$ corrections might be tested in future experiments.
| 14.64501
| 14.167027
| 17.061398
| 14.443311
| 15.414156
| 15.405598
| 15.415207
| 13.941547
| 14.463945
| 17.935068
| 13.869903
| 13.775046
| 13.928073
| 14.07655
| 13.846401
| 13.47434
| 13.842344
| 13.700069
| 13.485497
| 14.242738
| 13.959422
|
2006.06023
|
Diego Garc\'ia Sep\'ulveda
|
Diego Garc\'ia Sep\'ulveda and Max Guillen
|
A Pure Spinor Twistor Description of the $D=10$ Superparticle
|
23 pages. Fixed typos, appendix added. Published version
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a novel twistor formulation of the ten-dimensional massless
superparticle. This formulation is based on the introduction of pure spinor
variables through a field redefinition of another model for the superparticle,
and in the new description we find that the super-Pauli-Lubanski three-form
naturally arises as a constraint. Quantization is studied in detail for both
models and they are shown to correctly describe the $D = 10$ super-Yang-Mills
states.
|
[
{
"created": "Wed, 10 Jun 2020 18:17:15 GMT",
"version": "v1"
},
{
"created": "Sun, 2 Aug 2020 04:13:51 GMT",
"version": "v2"
}
] |
2020-08-04
|
[
[
"Sepúlveda",
"Diego García",
""
],
[
"Guillen",
"Max",
""
]
] |
We present a novel twistor formulation of the ten-dimensional massless superparticle. This formulation is based on the introduction of pure spinor variables through a field redefinition of another model for the superparticle, and in the new description we find that the super-Pauli-Lubanski three-form naturally arises as a constraint. Quantization is studied in detail for both models and they are shown to correctly describe the $D = 10$ super-Yang-Mills states.
| 11.072895
| 10.119583
| 10.999809
| 9.315225
| 9.560806
| 10.478165
| 9.542055
| 9.071126
| 10.069444
| 13.308244
| 9.044853
| 10.583459
| 10.614834
| 10.063486
| 9.65061
| 10.208844
| 10.339847
| 9.807123
| 10.297853
| 11.026498
| 10.856686
|
1102.5293
|
Michele Maio
|
M. Maio, A.N. Schellekens
|
Permutation orbifolds of heterotic Gepner models
|
49 pages, 4 figures
|
Nucl. Phys. B 848 (2011) 594-628
|
10.1016/j.nuclphysb.2011.03.012
|
NIKHEF/2011-004
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study orbifolds by permutations of two identical N=2 minimal models within
the Gepner construction of four dimensional heterotic strings. This is done
using the new N=2 supersymmetric permutation orbifold building blocks we have
recently developed. We compare our results with the old method of modding out
the full string partition function. The overlap between these two approaches is
surprisingly small, but whenever a comparison can be made we find complete
agreement. The use of permutation building blocks allows us to use the complete
arsenal of simple current techniques that is available for standard Gepner
models, vastly extending what could previously be done for permutation
orbifolds. In particular, we consider (0,2) models, breaking of SO(10) to
subgroups, weight-lifting for the minimal models and B-L lifting. Some
previously observed phenomena, for example concerning family number
quantization, extend to this new class as well, and in the lifted models three
family models occur with abundance comparable to two or four.
|
[
{
"created": "Fri, 25 Feb 2011 17:39:28 GMT",
"version": "v1"
}
] |
2011-08-03
|
[
[
"Maio",
"M.",
""
],
[
"Schellekens",
"A. N.",
""
]
] |
We study orbifolds by permutations of two identical N=2 minimal models within the Gepner construction of four dimensional heterotic strings. This is done using the new N=2 supersymmetric permutation orbifold building blocks we have recently developed. We compare our results with the old method of modding out the full string partition function. The overlap between these two approaches is surprisingly small, but whenever a comparison can be made we find complete agreement. The use of permutation building blocks allows us to use the complete arsenal of simple current techniques that is available for standard Gepner models, vastly extending what could previously be done for permutation orbifolds. In particular, we consider (0,2) models, breaking of SO(10) to subgroups, weight-lifting for the minimal models and B-L lifting. Some previously observed phenomena, for example concerning family number quantization, extend to this new class as well, and in the lifted models three family models occur with abundance comparable to two or four.
| 16.127796
| 14.862848
| 18.415848
| 13.808449
| 16.533356
| 15.798853
| 15.234367
| 15.046906
| 14.367408
| 18.332815
| 13.867065
| 14.382791
| 15.775558
| 13.833938
| 14.211189
| 14.481301
| 14.396314
| 15.130045
| 14.232903
| 15.577279
| 14.375165
|
hep-th/9211088
|
Jean-Loup Gervais
|
Jean-Loup Gervais, Lochlainn O'Raifeartaigh, Alexander V. Razumov,
Mikhail V. Saveliev
|
Gauge Conditions for the Constrained-WZNW--Toda Reductions
|
12 pages, no figures
|
Phys.Lett. B301 (1993) 41-48
|
10.1016/0370-2693(93)90718-W
|
DIAS--92/27, IHEP 92-155, LPTENS--92/40, NI92008
|
hep-th
| null |
There is a constrained-WZNW--Toda theory for any simple Lie algebra equipped
with an integral gradation. It is explained how the different approaches to
these dynamical systems are related by gauge transformations. Combining Gauss
decompositions in relevent gauges, we unify formulae already derived, and
explictly determine the holomorphic expansion of the conformally reduced WZNW
solutions - whose restriction gives the solutions of the Toda equations. The
same takes place also for semi-integral gradations. Most of our conclusions are
also applicable to the affine Toda theories.
|
[
{
"created": "Thu, 19 Nov 1992 14:16:52 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Gervais",
"Jean-Loup",
""
],
[
"O'Raifeartaigh",
"Lochlainn",
""
],
[
"Razumov",
"Alexander V.",
""
],
[
"Saveliev",
"Mikhail V.",
""
]
] |
There is a constrained-WZNW--Toda theory for any simple Lie algebra equipped with an integral gradation. It is explained how the different approaches to these dynamical systems are related by gauge transformations. Combining Gauss decompositions in relevent gauges, we unify formulae already derived, and explictly determine the holomorphic expansion of the conformally reduced WZNW solutions - whose restriction gives the solutions of the Toda equations. The same takes place also for semi-integral gradations. Most of our conclusions are also applicable to the affine Toda theories.
| 29.522728
| 31.022556
| 31.769403
| 27.015718
| 32.212112
| 28.695333
| 27.734327
| 29.533197
| 27.483196
| 34.044682
| 27.57333
| 27.182676
| 26.263311
| 25.395626
| 25.029566
| 26.107964
| 27.134481
| 26.509718
| 25.686878
| 27.505859
| 26.926031
|
hep-th/0309100
|
Hitoshi Nishino
|
Hitoshi Nishino and Subhash Rajpoot
|
Supermembrane with Non-Abelilan Gauging and Chern-Simons Quantization
|
16 pages, no figures. The content has been considerably changed with
non-Abelian generalization
|
Eur.Phys.J. C39 (2005) 389-395
|
10.1140/epjc/s2004-02095-8
|
CSULB-PA-03-04
|
hep-th
| null |
We present non-Abelian gaugings of supermembrane for general isometries for
compactifications from eleven-dimensions, starting with Abelian case as a
guide. We introduce a super Killing vector in eleven-dimensional superspace for
a non-Abelian group G associated with the compact space B for a general
compactification, and couple it to a non-Abelian gauge field on the
world-volume. As a technical tool, we use teleparallel superspace with no
manifest local Lorentz covariance. Interestingly, the coupling constant is
quantized for the non-Abelian group G, due to its generally non-trivial mapping
\pi_3(G).
|
[
{
"created": "Tue, 9 Sep 2003 23:51:54 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Sep 2003 20:13:27 GMT",
"version": "v2"
},
{
"created": "Fri, 24 Oct 2003 23:33:06 GMT",
"version": "v3"
}
] |
2015-06-26
|
[
[
"Nishino",
"Hitoshi",
""
],
[
"Rajpoot",
"Subhash",
""
]
] |
We present non-Abelian gaugings of supermembrane for general isometries for compactifications from eleven-dimensions, starting with Abelian case as a guide. We introduce a super Killing vector in eleven-dimensional superspace for a non-Abelian group G associated with the compact space B for a general compactification, and couple it to a non-Abelian gauge field on the world-volume. As a technical tool, we use teleparallel superspace with no manifest local Lorentz covariance. Interestingly, the coupling constant is quantized for the non-Abelian group G, due to its generally non-trivial mapping \pi_3(G).
| 14.418204
| 12.855537
| 15.165075
| 12.246156
| 13.400473
| 13.085133
| 14.011261
| 12.7799
| 12.329316
| 14.627071
| 13.027193
| 13.447703
| 13.769068
| 13.745934
| 13.18794
| 13.761713
| 12.893618
| 13.46695
| 13.564383
| 14.801258
| 13.42701
|
hep-th/0507014
|
Boris Pioline
|
Atish Dabholkar, Frederik Denef, Gregory W. Moore and Boris Pioline
|
Precision Counting of Small Black Holes
|
103 pages, uses JHEP3.cls
|
JHEP 0510:096,2005
|
10.1088/1126-6708/2005/10/096
|
LPTHE-05-14, LPTENS-05-21, TIFR/TH/05-27
|
hep-th
| null |
It has recently been proposed that a class of supersymmetric
higher-derivative interactions in N=2 supergravity may encapsulate an infinite
number of finite size corrections to the microscopic entropy of certain
supersymmetric black holes. If this proposal is correct, it allows one to probe
the string theory description of black-hole micro-states to far greater
accuracy than has been possible before. We test this proposal for ``small''
black holes whose microscopic degeneracies can be computed exactly by counting
the corresponding perturbative BPS states. We also study the ``black hole
partition sum'' using general properties of of BPS degeneracies. This
complements and extends our earlier work in hep-th/0502157
|
[
{
"created": "Fri, 1 Jul 2005 14:47:26 GMT",
"version": "v1"
}
] |
2011-05-05
|
[
[
"Dabholkar",
"Atish",
""
],
[
"Denef",
"Frederik",
""
],
[
"Moore",
"Gregory W.",
""
],
[
"Pioline",
"Boris",
""
]
] |
It has recently been proposed that a class of supersymmetric higher-derivative interactions in N=2 supergravity may encapsulate an infinite number of finite size corrections to the microscopic entropy of certain supersymmetric black holes. If this proposal is correct, it allows one to probe the string theory description of black-hole micro-states to far greater accuracy than has been possible before. We test this proposal for ``small'' black holes whose microscopic degeneracies can be computed exactly by counting the corresponding perturbative BPS states. We also study the ``black hole partition sum'' using general properties of of BPS degeneracies. This complements and extends our earlier work in hep-th/0502157
| 8.697804
| 7.9956
| 10.606736
| 8.54355
| 9.114191
| 8.524417
| 8.580544
| 8.53806
| 8.245957
| 11.717348
| 8.161661
| 7.670432
| 9.219859
| 8.042427
| 8.030591
| 7.940395
| 8.235994
| 8.030849
| 8.142365
| 9.46756
| 7.887604
|
2402.00932
|
Indranil Halder
|
Indranil Halder, Daniel L. Jafferis
|
Stretched horizon, replica trick and off-shell winding condensate, and
all that
|
29 pages, 2 figures
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
$\alpha'$ corrections to near horizon dynamics of a Schwarzschild black hole
in a large number of spacetime dimensions $D$ are governed by the worldsheet
theory composed of the cigar CFT and the classical sigma model on the sphere at
the horizon, along with a timelike-Liouville theory of central charge $26-D$.
At leading order in weak string coupling, blackhole thermodynamics is
insensitive to the details of timelike Liouville theory. In this limit, we use
Lewkowycz-Maldacena-trick motivated infinitesimally off-shell closed string
worldsheet formalism in [arxiv: 2310.02313] to calculate thermal entropy
exactly in $\alpha'$. The leading term in $\alpha'\to 0$ limit and the first
stingy correction of our result is in precise agreement with the target space
Callan-Myers-Perry formula. Also, we point out a remarkable simplification at
an ultra-low temperature of order $1/\sqrt{\alpha'D}$ and show that for a
certain special set of vertex operators involving modes of the $D$ dimensional
spacetime and the time-like Liouville theory, the resulting worldsheet theory
is related to Virasoro minimal string.
|
[
{
"created": "Thu, 1 Feb 2024 19:00:02 GMT",
"version": "v1"
},
{
"created": "Sun, 28 Apr 2024 17:10:59 GMT",
"version": "v2"
}
] |
2024-04-30
|
[
[
"Halder",
"Indranil",
""
],
[
"Jafferis",
"Daniel L.",
""
]
] |
$\alpha'$ corrections to near horizon dynamics of a Schwarzschild black hole in a large number of spacetime dimensions $D$ are governed by the worldsheet theory composed of the cigar CFT and the classical sigma model on the sphere at the horizon, along with a timelike-Liouville theory of central charge $26-D$. At leading order in weak string coupling, blackhole thermodynamics is insensitive to the details of timelike Liouville theory. In this limit, we use Lewkowycz-Maldacena-trick motivated infinitesimally off-shell closed string worldsheet formalism in [arxiv: 2310.02313] to calculate thermal entropy exactly in $\alpha'$. The leading term in $\alpha'\to 0$ limit and the first stingy correction of our result is in precise agreement with the target space Callan-Myers-Perry formula. Also, we point out a remarkable simplification at an ultra-low temperature of order $1/\sqrt{\alpha'D}$ and show that for a certain special set of vertex operators involving modes of the $D$ dimensional spacetime and the time-like Liouville theory, the resulting worldsheet theory is related to Virasoro minimal string.
| 14.27597
| 13.313353
| 15.510968
| 12.505303
| 13.362866
| 14.115558
| 14.255135
| 13.284649
| 12.901133
| 17.52776
| 12.819176
| 13.034678
| 13.417848
| 13.307599
| 13.576415
| 13.03811
| 13.434486
| 12.76859
| 13.375504
| 14.050873
| 13.375247
|
hep-th/0206153
|
W. A. Sabra
|
Michael Gutperle and Wafic Sabra
|
Instantons and Wormholes In Minkowski and (A)dS Spaces
|
Latex, 15 pages, v2: formula for action corrected, v3: minor changes,
version to appear in NPB
|
Nucl.Phys. B647 (2002) 344-356
|
10.1016/S0550-3213(02)00942-2
|
CAMS/02-03, HUTP-02/A025
|
hep-th gr-qc
| null |
Instanton and wormhole solutions are constructed in a d-dimensional gravity
theory with an axion-dilaton pair of scalar fields. We discuss the cases of
vanishing, positive and negative cosmological constant.
|
[
{
"created": "Mon, 17 Jun 2002 19:48:04 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Jul 2002 16:48:13 GMT",
"version": "v2"
},
{
"created": "Wed, 23 Oct 2002 17:10:28 GMT",
"version": "v3"
}
] |
2010-04-05
|
[
[
"Gutperle",
"Michael",
""
],
[
"Sabra",
"Wafic",
""
]
] |
Instanton and wormhole solutions are constructed in a d-dimensional gravity theory with an axion-dilaton pair of scalar fields. We discuss the cases of vanishing, positive and negative cosmological constant.
| 9.986774
| 7.751273
| 8.821257
| 7.481204
| 8.449364
| 8.398673
| 8.574006
| 7.089859
| 7.588799
| 9.61714
| 8.183941
| 8.777801
| 9.066013
| 8.966159
| 9.121082
| 9.338473
| 8.710084
| 8.529377
| 9.319345
| 8.854245
| 9.530923
|
hep-th/9809144
|
Marco M. Caldarelli
|
Marco M. Caldarelli
|
Quantum Scalar Fields on Anti-de Sitter Spacetime
|
RevTeX, 18 pages, no figures, references added, definition of y
explained, typos in the Appendix corrected, final version to appear in Nucl.
Phys. B
|
Nucl.Phys. B549 (1999) 499-515
|
10.1016/S0550-3213(99)00137-6
|
UTF-422
|
hep-th gr-qc
| null |
We investigate the propagation of arbitrarily coupled scalar fields on the
$N$-dimensional hyperbolic space ${\mathbb H}^N$. Using the $\zeta$-function
regularization we compute exactly the one loop effective action. The vacuum
expectation value of quadratic field fluctuations and the one loop renormalized
stress tensor are then computed using the recently proposed direct
$\zeta$-function technique. Our computation tests the validity of this approach
in presence of a continuous spectrum. Our results apply as well to the
$N$-dimensional anti-de Sitter spacetime, whose appropriate euclidean section
is the hyperbolic space ${\mathbb H}^N$.
|
[
{
"created": "Sat, 19 Sep 1998 17:44:36 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Nov 1998 18:06:56 GMT",
"version": "v2"
},
{
"created": "Sun, 11 Apr 1999 19:28:51 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Caldarelli",
"Marco M.",
""
]
] |
We investigate the propagation of arbitrarily coupled scalar fields on the $N$-dimensional hyperbolic space ${\mathbb H}^N$. Using the $\zeta$-function regularization we compute exactly the one loop effective action. The vacuum expectation value of quadratic field fluctuations and the one loop renormalized stress tensor are then computed using the recently proposed direct $\zeta$-function technique. Our computation tests the validity of this approach in presence of a continuous spectrum. Our results apply as well to the $N$-dimensional anti-de Sitter spacetime, whose appropriate euclidean section is the hyperbolic space ${\mathbb H}^N$.
| 6.055917
| 5.64693
| 5.80698
| 5.442235
| 5.764279
| 5.696531
| 5.93955
| 5.856461
| 5.680774
| 5.953644
| 6.057229
| 5.896711
| 5.942311
| 5.614273
| 5.729501
| 5.747229
| 5.762963
| 5.758792
| 5.761462
| 6.057974
| 5.71295
|
1109.1725
|
Fabio Riccioni
|
Eric A. Bergshoeff and Fabio Riccioni
|
The D-brane U-scan
|
10 pages, 6 tables, written for the proceedings of the String-Math
2011 conference
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the D-branes that occur in IIA/IIB string theory compactified on
a torus. We review how a general expression for the Wess-Zumino term of such
branes is derived. We also review the method to determine the D-brane
Wess-Zumino term in a U-duality covariant way, and we apply it to derive all
the branes obtained by transforming the D-branes under U-duality in any
dimension above five. We finally determine all the supersymmetric branes
supporting worldvolume tensor multiplets that occur in these theories in any
dimension.
|
[
{
"created": "Thu, 8 Sep 2011 14:14:08 GMT",
"version": "v1"
}
] |
2011-09-09
|
[
[
"Bergshoeff",
"Eric A.",
""
],
[
"Riccioni",
"Fabio",
""
]
] |
We consider the D-branes that occur in IIA/IIB string theory compactified on a torus. We review how a general expression for the Wess-Zumino term of such branes is derived. We also review the method to determine the D-brane Wess-Zumino term in a U-duality covariant way, and we apply it to derive all the branes obtained by transforming the D-branes under U-duality in any dimension above five. We finally determine all the supersymmetric branes supporting worldvolume tensor multiplets that occur in these theories in any dimension.
| 8.215173
| 7.961086
| 9.717148
| 7.840603
| 8.380357
| 8.289993
| 8.196192
| 8.478074
| 7.958977
| 9.974633
| 7.663398
| 7.982868
| 8.274194
| 7.844246
| 7.947115
| 8.030685
| 8.037372
| 7.698786
| 8.057708
| 8.146922
| 7.673586
|
1811.00093
|
Ankit Aggarwal
|
Ankit Aggarwal
|
Supertranslations in Higher Dimensions Revisited
|
28 pages; minor rephrasing of two statements, version accepted for
publication in Physical Review D
|
Phys. Rev. D 99, 026015 (2019)
|
10.1103/PhysRevD.99.026015
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we revisit the question of identifying Soft Graviton theorem
in higher (even) dimensions with Ward identities associated with Asymptotic
symmetries. Building on the prior work of \cite{strominger}, we compute, from
first principles, the (asymptotic) charge associated to Supertranslation
symmetry in higher even dimensions and show that (i) these charges are
non-trivial, finite and (ii) the corresponding Ward identities are indeed the
soft graviton theorems.
|
[
{
"created": "Wed, 31 Oct 2018 20:07:23 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Jan 2019 21:22:35 GMT",
"version": "v2"
}
] |
2019-02-04
|
[
[
"Aggarwal",
"Ankit",
""
]
] |
In this paper, we revisit the question of identifying Soft Graviton theorem in higher (even) dimensions with Ward identities associated with Asymptotic symmetries. Building on the prior work of \cite{strominger}, we compute, from first principles, the (asymptotic) charge associated to Supertranslation symmetry in higher even dimensions and show that (i) these charges are non-trivial, finite and (ii) the corresponding Ward identities are indeed the soft graviton theorems.
| 9.80922
| 7.644736
| 8.805515
| 7.688114
| 8.201346
| 7.788281
| 7.087956
| 7.513527
| 6.954371
| 8.318715
| 8.406613
| 7.536808
| 7.987743
| 7.470365
| 7.467192
| 7.941804
| 7.595283
| 7.665753
| 7.784594
| 7.934425
| 8.313039
|
hep-th/0011107
|
Wolfgang Lerche
|
W. Lerche and J. Walcher
|
Boundary Rings and N=2 Coset Models
|
40p, 5 figs, refs added, typos and minor errors corrected
|
Nucl.Phys.B625:97-127,2002
|
10.1016/S0550-3213(02)00019-6
|
CERN-TH/2000-335, ETH-TH/00-11
|
hep-th
| null |
We investigate boundary states of N=2 coset models based on Grassmannians
Gr(n,n+k), and find that the underlying intersection geometry is given by the
fusion ring of U(n). This is isomorphic to the quantum cohomology ring of
Gr(n,n+k+1), and thus can be encoded in a ``boundary'' superpotential whose
critical points correspond to the boundary states. In this way the intersection
properties can be represented in terms of a soliton graph that forms a
generalized, Z_{n+k+1} symmetric McKay quiver. We investigate the spectrum of
bound states and find that the rational boundary CFT produces only a small
subset of the possible quiver representations.
|
[
{
"created": "Mon, 13 Nov 2000 19:32:56 GMT",
"version": "v1"
},
{
"created": "Sat, 23 Dec 2000 12:54:17 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Lerche",
"W.",
""
],
[
"Walcher",
"J.",
""
]
] |
We investigate boundary states of N=2 coset models based on Grassmannians Gr(n,n+k), and find that the underlying intersection geometry is given by the fusion ring of U(n). This is isomorphic to the quantum cohomology ring of Gr(n,n+k+1), and thus can be encoded in a ``boundary'' superpotential whose critical points correspond to the boundary states. In this way the intersection properties can be represented in terms of a soliton graph that forms a generalized, Z_{n+k+1} symmetric McKay quiver. We investigate the spectrum of bound states and find that the rational boundary CFT produces only a small subset of the possible quiver representations.
| 13.543962
| 12.778441
| 15.539398
| 12.098467
| 13.80027
| 13.852951
| 12.965211
| 13.739577
| 12.604671
| 14.722053
| 12.429586
| 12.984948
| 13.282511
| 12.279563
| 12.429237
| 12.874945
| 12.137768
| 12.390831
| 12.301962
| 14.126809
| 12.03834
|
2207.13933
|
Zheng Sun
|
Zheng Sun
|
Supersymmetry and R-symmetries in Wess-Zumino models: properties and
model dataset construction
|
45 pages, to be published in Proceedings of the International
Congress of Chinese Mathematicians (Beijing 2019)
| null | null | null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Nelson-Seiberg theorem and its extensions relate supersymmetry breaking
and R-symmetries in Wess-Zumino models. But their applicability may be limited
by previously found non-generic counterexamples. Constructing a dataset of
R-symmetric Wess-Zumino models is useful for studying the occurrence of such
counterexamples as well as other purposes. This work gives a pedagogical review
on the basics of supersymmetry in (3+1)-dimensions, Wess-Zumino models and
their supergravity extensions, the Nelson-Seiberg theorem and its extensions.
We present a preliminary construction of the dataset of R-symmetric Wess-Zumino
models with up to 5 chiral fields. Among 925 models in total, 20 of them with
non-generic R-charges are counterexamples to both the Nelson-Seiberg theorem
and its extensions. Thus the dataset gives an estimation of the accuracy of the
field counting method based on these theorems. More constructions and
applications of the dataset are expected in future work.
|
[
{
"created": "Thu, 28 Jul 2022 07:53:21 GMT",
"version": "v1"
}
] |
2022-07-29
|
[
[
"Sun",
"Zheng",
""
]
] |
The Nelson-Seiberg theorem and its extensions relate supersymmetry breaking and R-symmetries in Wess-Zumino models. But their applicability may be limited by previously found non-generic counterexamples. Constructing a dataset of R-symmetric Wess-Zumino models is useful for studying the occurrence of such counterexamples as well as other purposes. This work gives a pedagogical review on the basics of supersymmetry in (3+1)-dimensions, Wess-Zumino models and their supergravity extensions, the Nelson-Seiberg theorem and its extensions. We present a preliminary construction of the dataset of R-symmetric Wess-Zumino models with up to 5 chiral fields. Among 925 models in total, 20 of them with non-generic R-charges are counterexamples to both the Nelson-Seiberg theorem and its extensions. Thus the dataset gives an estimation of the accuracy of the field counting method based on these theorems. More constructions and applications of the dataset are expected in future work.
| 7.988374
| 7.57786
| 7.838026
| 7.403093
| 8.119692
| 7.667652
| 7.611358
| 7.998421
| 7.455844
| 9.021981
| 7.323678
| 7.305987
| 7.370755
| 7.40928
| 7.431121
| 7.433311
| 7.565288
| 7.559476
| 7.186448
| 7.824813
| 7.54887
|
hep-th/0603108
|
Angel M. Uranga
|
Inaki Garcia-Etxebarria, Fouad Saad, Angel M. Uranga
|
Gauge Theories at Resolved and Deformed Singularities using Dimers
|
47 pages, 41 figures
|
JHEP 0606:055,2006
|
10.1088/1126-6708/2006/06/055
|
CERN-PH-TH/2006-040, IFT-UAM/CSIC-06-12
|
hep-th
| null |
The gauge theory on a set of D3-branes at a toric Calabi-Yau singularity can
be encoded in a tiling of the 2-torus denoted dimer diagram (or brane tiling).
We use these techniques to describe the effect on the gauge theory of geometric
operations partially smoothing the singularity at which D3-branes sit, namely
partial resolutions and complex deformations. More specifically, we describe
the effect of arbitrary partial resolutions, including those which split the
original singularity into two separated. The gauge theory correspondingly
splits into two sectors (associated to branes in either singularity) decoupled
at the level of massless states. We also describe the effect of complex
deformations, associated to geometric transitions triggered by the presence of
fractional branes with confinement in their infrared. We provide tools to
easily obtain the remaining gauge theory after such partial confinement.
|
[
{
"created": "Tue, 14 Mar 2006 12:37:12 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Garcia-Etxebarria",
"Inaki",
""
],
[
"Saad",
"Fouad",
""
],
[
"Uranga",
"Angel M.",
""
]
] |
The gauge theory on a set of D3-branes at a toric Calabi-Yau singularity can be encoded in a tiling of the 2-torus denoted dimer diagram (or brane tiling). We use these techniques to describe the effect on the gauge theory of geometric operations partially smoothing the singularity at which D3-branes sit, namely partial resolutions and complex deformations. More specifically, we describe the effect of arbitrary partial resolutions, including those which split the original singularity into two separated. The gauge theory correspondingly splits into two sectors (associated to branes in either singularity) decoupled at the level of massless states. We also describe the effect of complex deformations, associated to geometric transitions triggered by the presence of fractional branes with confinement in their infrared. We provide tools to easily obtain the remaining gauge theory after such partial confinement.
| 12.502203
| 14.07001
| 14.978966
| 11.417141
| 13.656943
| 13.332536
| 13.759029
| 12.378767
| 11.099195
| 16.567451
| 11.531251
| 11.782302
| 12.160634
| 11.422407
| 11.796127
| 11.895521
| 11.585878
| 11.20643
| 11.772435
| 12.540038
| 11.393226
|
1105.5308
|
Hing Tong Cho
|
H. T. Cho and B. L. Hu
|
Stress-energy Tensor Correlators of a Quantum Field in Euclidean $R^N$
and $AdS^N$ spaces via the generalized zeta-function method
|
RevTeX, 35 pages, no figure
|
Phys.Rev.D84:044032,2011
|
10.1103/PhysRevD.84.044032
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we calculate the vacuum expectation values of the stress-energy
bitensor of a massive quantum scalar field with general coupling to
N-dimensional Euclidean spaces and hyperbolic spaces which are Euclidean
sections of the anti-de Sitter (AdS) spaces. These correlators, also known as
the noise kernel, act as sources in the Einstein-Langevin equations of
stochastic gravity [1,2] which govern the induced metric fluctuations beyond
the mean-field dynamics described by the semiclassical Einstein equations of
semiclassical gravity. Because these spaces are maximally symmetric the
eigenmodes have analytic expressions which facilitate the computation of the
zeta-function [3,4]. Upon taking the second functional variation of the
generalized zeta function introduced in [5] we obtain the correlators of the
stress tensor for these two classes of spacetimes. Both the short and the large
geodesic distance limits of the correlators are presented for dimensions up to
11. We mention current research problems in early universe cosmology, black
hole physics and gravity-fluid duality where these results can be usefully
applied to.
|
[
{
"created": "Thu, 26 May 2011 14:34:01 GMT",
"version": "v1"
}
] |
2011-09-08
|
[
[
"Cho",
"H. T.",
""
],
[
"Hu",
"B. L.",
""
]
] |
In this paper we calculate the vacuum expectation values of the stress-energy bitensor of a massive quantum scalar field with general coupling to N-dimensional Euclidean spaces and hyperbolic spaces which are Euclidean sections of the anti-de Sitter (AdS) spaces. These correlators, also known as the noise kernel, act as sources in the Einstein-Langevin equations of stochastic gravity [1,2] which govern the induced metric fluctuations beyond the mean-field dynamics described by the semiclassical Einstein equations of semiclassical gravity. Because these spaces are maximally symmetric the eigenmodes have analytic expressions which facilitate the computation of the zeta-function [3,4]. Upon taking the second functional variation of the generalized zeta function introduced in [5] we obtain the correlators of the stress tensor for these two classes of spacetimes. Both the short and the large geodesic distance limits of the correlators are presented for dimensions up to 11. We mention current research problems in early universe cosmology, black hole physics and gravity-fluid duality where these results can be usefully applied to.
| 10.50085
| 8.297426
| 11.283598
| 9.049765
| 11.611717
| 10.938891
| 10.592448
| 8.733577
| 9.293221
| 12.982094
| 9.234445
| 9.740928
| 10.321406
| 9.686481
| 10.703543
| 10.376927
| 10.469005
| 10.111114
| 9.702202
| 10.812408
| 9.910494
|
1302.6736
|
Martin Cederwall
|
Martin Cederwall, Joakim Edlund and Anna Karlsson
|
Exceptional geometry and tensor fields
|
22 pp., plain tex. v3: improved references
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a tensor calculus for exceptional generalised geometry.
Expressions for connections, torsion and curvature are given a unified
formulation for different exceptional groups E_n(n). We then consider "tensor
gauge fields" coupled to the exceptional generalised gravity. Many of the
properties of forms on manifolds are carried over to these fields.
|
[
{
"created": "Wed, 27 Feb 2013 11:46:48 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Feb 2013 22:12:39 GMT",
"version": "v2"
},
{
"created": "Thu, 21 Mar 2013 12:53:19 GMT",
"version": "v3"
}
] |
2013-03-22
|
[
[
"Cederwall",
"Martin",
""
],
[
"Edlund",
"Joakim",
""
],
[
"Karlsson",
"Anna",
""
]
] |
We present a tensor calculus for exceptional generalised geometry. Expressions for connections, torsion and curvature are given a unified formulation for different exceptional groups E_n(n). We then consider "tensor gauge fields" coupled to the exceptional generalised gravity. Many of the properties of forms on manifolds are carried over to these fields.
| 19.000439
| 19.595995
| 20.734972
| 16.645767
| 17.095388
| 18.526447
| 17.928381
| 15.971431
| 18.367422
| 23.14922
| 14.80556
| 16.501062
| 18.015766
| 15.927529
| 16.98572
| 15.721357
| 15.522284
| 17.378735
| 16.697672
| 19.162848
| 14.816748
|
0705.1404
|
Xian-Hui Ge
|
Xian-Hui Ge, Sung-Won Kim
|
Probing extra dimensions with higher dimensional black hole analogues?
|
16 pages, 5 figures; Version 2, some references added
|
Phys.Lett.B652:349-358,2007
|
10.1016/j.physletb.2007.06.079
| null |
hep-th gr-qc hep-ph
| null |
We propose that extra dimensions might be detected with higher dimensional
analogues of black holes. The usual 4-dimensional acoustic(sonic)black hole
metric is extended to arbitrary dimensions. The absorption cross-section of
Hawking radiation on the brane and in the bulk are calculated in the
semiclassical approximation.
|
[
{
"created": "Thu, 10 May 2007 07:46:51 GMT",
"version": "v1"
},
{
"created": "Tue, 15 May 2007 01:17:28 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Ge",
"Xian-Hui",
""
],
[
"Kim",
"Sung-Won",
""
]
] |
We propose that extra dimensions might be detected with higher dimensional analogues of black holes. The usual 4-dimensional acoustic(sonic)black hole metric is extended to arbitrary dimensions. The absorption cross-section of Hawking radiation on the brane and in the bulk are calculated in the semiclassical approximation.
| 15.048136
| 13.331671
| 13.031235
| 12.323156
| 13.974174
| 13.409623
| 13.881303
| 12.797626
| 12.891401
| 13.145044
| 13.048325
| 14.251886
| 13.708731
| 13.752352
| 13.874076
| 14.199861
| 14.997537
| 13.720242
| 14.465318
| 14.019331
| 14.201313
|
hep-th/9909088
|
Finn Larsen
|
Finn Larsen and Emil Martinec
|
Currents and Moduli in the (4,0) theory
|
40 pages; v2: refs added
|
JHEP 9911:002,1999
|
10.1088/1126-6708/1999/11/002
| null |
hep-th
| null |
We consider black strings in five dimensions and their description as a (4,0)
CFT. The CFT moduli space is described explicitly, including its subtle global
structure. BPS conditions and global symmetries determine the spectrum of
charged excitations, leading to an entropy formula for near-extreme black holes
in four dimensions with arbitrary charge vector. In the BPS limit, this formula
reduces to the quartic E(7,7) invariant. The prospects for a description of the
(4,0) theory as a solvable CFT are explored.
|
[
{
"created": "Mon, 13 Sep 1999 23:50:21 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Sep 1999 20:41:18 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Larsen",
"Finn",
""
],
[
"Martinec",
"Emil",
""
]
] |
We consider black strings in five dimensions and their description as a (4,0) CFT. The CFT moduli space is described explicitly, including its subtle global structure. BPS conditions and global symmetries determine the spectrum of charged excitations, leading to an entropy formula for near-extreme black holes in four dimensions with arbitrary charge vector. In the BPS limit, this formula reduces to the quartic E(7,7) invariant. The prospects for a description of the (4,0) theory as a solvable CFT are explored.
| 12.205645
| 10.253529
| 13.494267
| 9.859221
| 10.583875
| 10.115697
| 11.122164
| 10.907115
| 10.006763
| 13.993117
| 10.560482
| 10.88482
| 12.259679
| 10.505623
| 11.069234
| 11.201627
| 10.982985
| 10.930124
| 10.54755
| 12.771385
| 10.413383
|
hep-th/0610291
|
Gerhart Seidl
|
Gerhart Seidl
|
Discretized gravity on the hyperbolic disk
|
4 pages, 2 figures, to appear in Proceedings of SUSY06, the 14th
Conference on Supersymmetry and the Unification of Fundamental Interactions,
UC Irvine, California, 12-17 June 2006
|
AIPConf.Proc.903:487-490,2007
|
10.1063/1.2735230
| null |
hep-th
| null |
We consider a description of lattice gravity in six dimensions, where the two
extra dimensions have been compactified on a warped hyperbolic disk of constant
curvature. We analyze a fine-grained latticization of the hyperbolic disk in
the context of an effective theory for massive gravitons. We find that in
six-dimensional warped hyperbolic space, lattice gravity appears near the
boundary of the disk more weakly coupled than in discretized five-dimensional
flat or warped space. Specifically, near the IR branes, the local strong
coupling scale can become as large as the local Planck scale.
|
[
{
"created": "Fri, 27 Oct 2006 18:53:26 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Oct 2006 12:51:03 GMT",
"version": "v2"
},
{
"created": "Fri, 5 Jan 2007 07:50:59 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Seidl",
"Gerhart",
""
]
] |
We consider a description of lattice gravity in six dimensions, where the two extra dimensions have been compactified on a warped hyperbolic disk of constant curvature. We analyze a fine-grained latticization of the hyperbolic disk in the context of an effective theory for massive gravitons. We find that in six-dimensional warped hyperbolic space, lattice gravity appears near the boundary of the disk more weakly coupled than in discretized five-dimensional flat or warped space. Specifically, near the IR branes, the local strong coupling scale can become as large as the local Planck scale.
| 12.582685
| 11.571556
| 12.347684
| 11.366514
| 14.166622
| 12.884264
| 12.65935
| 11.852149
| 10.50939
| 14.240351
| 11.857521
| 12.152787
| 13.095747
| 11.865926
| 12.357087
| 12.057981
| 12.177788
| 12.228746
| 12.010745
| 12.79269
| 11.675714
|
2007.01574
|
Zhenjie Li
|
Song He, Zhenjie Li
|
A Note on Letters of Yangian Invariants
|
15 pages, 6 figures; v3: minor updates to match the published version
in JHEP
| null |
10.1007/JHEP02(2021)155
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Motivated by reformulating Yangian invariants in planar ${\cal N}=4$ SYM
directly as $d\log$ forms on momentum-twistor space, we propose a purely
algebraic problem of determining the arguments of the $d\log$'s, which we call
"letters", for any Yangian invariant. These are functions of momentum twistors
$Z$'s, given by the positive coordinates $\alpha$'s of parametrizations of the
matrix $C(\alpha)$, evaluated on the support of polynomial equations $C(\alpha)
\cdot Z=0$. We provide evidence that the letters of Yangian invariants are
related to the cluster algebra of Grassmannian $G(4,n)$, which is relevant for
the symbol alphabet of $n$-point scattering amplitudes. For $n=6,7$, the
collection of letters for all Yangian invariants contains the cluster ${\cal
A}$ coordinates of $G(4,n)$. We determine algebraic letters of Yangian
invariant associated with any "four-mass" box, which for $n=8$ reproduce the
$18$ multiplicative-independent, algebraic symbol letters discovered recently
for two-loop amplitudes.
|
[
{
"created": "Fri, 3 Jul 2020 09:38:00 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Jul 2020 15:18:21 GMT",
"version": "v2"
},
{
"created": "Wed, 24 Feb 2021 11:25:06 GMT",
"version": "v3"
}
] |
2021-03-17
|
[
[
"He",
"Song",
""
],
[
"Li",
"Zhenjie",
""
]
] |
Motivated by reformulating Yangian invariants in planar ${\cal N}=4$ SYM directly as $d\log$ forms on momentum-twistor space, we propose a purely algebraic problem of determining the arguments of the $d\log$'s, which we call "letters", for any Yangian invariant. These are functions of momentum twistors $Z$'s, given by the positive coordinates $\alpha$'s of parametrizations of the matrix $C(\alpha)$, evaluated on the support of polynomial equations $C(\alpha) \cdot Z=0$. We provide evidence that the letters of Yangian invariants are related to the cluster algebra of Grassmannian $G(4,n)$, which is relevant for the symbol alphabet of $n$-point scattering amplitudes. For $n=6,7$, the collection of letters for all Yangian invariants contains the cluster ${\cal A}$ coordinates of $G(4,n)$. We determine algebraic letters of Yangian invariant associated with any "four-mass" box, which for $n=8$ reproduce the $18$ multiplicative-independent, algebraic symbol letters discovered recently for two-loop amplitudes.
| 9.789864
| 8.673321
| 11.697609
| 8.710137
| 9.392581
| 8.770898
| 8.958932
| 8.752473
| 8.311759
| 12.535468
| 8.714982
| 9.23956
| 10.249037
| 9.144027
| 9.090328
| 9.051829
| 8.932985
| 8.80407
| 8.77732
| 9.84338
| 9.007941
|
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