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2.01k
| perplexity_Llama-3.1-8B
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float64 2.9
431
| perplexity_s4-L-3.1-8B-base
float64 2.88
422
| perplexity_s5-L-3.1-8B-base
float64 2.95
414
| perplexity_s6-L-3.1-8B-base
float64 2.99
340
| perplexity_s7-L-3.1-8B-base
float64 2.91
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| perplexity_s8-L-3.1-8B-base
float64 2.89
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| perplexity_s9-L-3.1-8B-base
float64 3.21
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| perplexity_s10-L-3.1-8B-base
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float64 2.92
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| perplexity_s2-L-3.1-8B-qkv
float64 3.05
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| perplexity_s5-L-3.1-8B-qkv
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| perplexity_s6-L-3.1-8B-qkv
float64 2.96
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| perplexity_s7-L-3.1-8B-qkv2
float64 2.95
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| perplexity_s8-L-3.1-8B-qkv
float64 2.92
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|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9510217
|
Giuseppe Bimonte
|
A.P. Balachandran, G. Bimonte, E. Ercolessi, G. Landi, F. Lizzi, G.
Sparano and P. Teotonio-Sobrinho
|
Noncommutative Lattices as Finite Approximations and Their
Noncommutative Geometries
|
37 pages, 12 eps figures, uses psbox.tex To appear in J. Geom. and
Physics, a problem due to the mailer hopefully solved
|
J.Geom.Phys. 18 (1996) 163-194
|
10.1016/0393-0440(95)00006-2
|
IC/94/80
|
hep-th
| null |
Lattice discretizations of continuous manifolds are common tools used in a
variety of physical contexts. Conventional discrete approximations, however,
cannot capture all aspects of the original manifold, notably its topology. In
this paper we discuss an approximation scheme due to Sorkin which correctly
reproduces important topological aspects of continuum physics. The
approximating topological spaces are partially ordered sets (posets), the
partial order encoding the topology. Now, the topology of a manifold $M$ can be
reconstructed from the commutative C*-algebra $\cc(M)$ of continuous functions
defined on it. In turn, this algebra is generated by continuous probability
densities in ordinary quantum physics on $M$. The latter also serve to specify
the domains of observables like the Hamiltonian. For a poset, the role of this
algebra is assumed by a noncommutative C$^*$-algebra $\ca $. This fact makes
any poset a genuine `noncommutative' (`quantum') space, in the sense that the
algebra of its `continuous functions' is a noncommutative C$^*$-algebra. We
therefore also have a remarkable connection between finite approximations to
quantum physics and noncommutative geometries. We use this connection to
develop various approximation methods for doing quantum physics using $\ca$.
|
[
{
"created": "Mon, 30 Oct 1995 12:30:09 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Oct 1995 18:41:52 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Balachandran",
"A. P.",
""
],
[
"Bimonte",
"G.",
""
],
[
"Ercolessi",
"E.",
""
],
[
"Landi",
"G.",
""
],
[
"Lizzi",
"F.",
""
],
[
"Sparano",
"G.",
""
],
[
"Teotonio-Sobrinho",
"P.",
""
]
] |
Lattice discretizations of continuous manifolds are common tools used in a variety of physical contexts. Conventional discrete approximations, however, cannot capture all aspects of the original manifold, notably its topology. In this paper we discuss an approximation scheme due to Sorkin which correctly reproduces important topological aspects of continuum physics. The approximating topological spaces are partially ordered sets (posets), the partial order encoding the topology. Now, the topology of a manifold $M$ can be reconstructed from the commutative C*-algebra $\cc(M)$ of continuous functions defined on it. In turn, this algebra is generated by continuous probability densities in ordinary quantum physics on $M$. The latter also serve to specify the domains of observables like the Hamiltonian. For a poset, the role of this algebra is assumed by a noncommutative C$^*$-algebra $\ca $. This fact makes any poset a genuine `noncommutative' (`quantum') space, in the sense that the algebra of its `continuous functions' is a noncommutative C$^*$-algebra. We therefore also have a remarkable connection between finite approximations to quantum physics and noncommutative geometries. We use this connection to develop various approximation methods for doing quantum physics using $\ca$.
| 9.302471
| 8.60059
| 9.267586
| 8.301312
| 9.971012
| 9.863335
| 9.443838
| 8.465909
| 8.293758
| 10.465294
| 8.979598
| 8.478303
| 8.78037
| 8.664371
| 8.527055
| 8.605469
| 8.798152
| 8.515924
| 8.672132
| 9.235341
| 8.911097
|
1202.1290
|
Alessio Marrani
|
Sergio Ferrara, Renata Kallosh, Alessio Marrani
|
Degeneration of Groups of Type E7 and Minimal Coupling in Supergravity
|
1+40 pages, 5 Tables; v2 : 1+41 pages, Sec. 3 extended, Sec. 3.1
replaced, Sec. 4.3 removed, one Ref. added, other minor changes
| null |
10.1007/JHEP06(2012)074
|
CERN-PH-TH/2012-026; SU-ITP-2012-06
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study properties of D = 4, N >1 extended supergravities (and related
compactifications of superstring theory) and their consistent truncation to the
phenomenologically interesting models of N = 1 supergravity. This involves a
detailed classification of the "degenerations" of the duality groups of type
E7, when the corresponding quartic invariant polynomial built from the
symplectic irreducible representation of G4 "degenerates" into a perfect
square. With regard to cosmological applications, we conclude that the
consistent truncation to N = 1 from higher-dimensional or higher-N theory gives
a zero measure minimal coupling of vectors. A non-minimal coupling involving
vectors coupled to scalars and axions is generic. These features of
supergravity, following from the electric-magnetic duality, may be useful in
other applications, like stabilization of moduli, and in studies of
non-perturbative black-hole solutions of supergravity/string theory.
|
[
{
"created": "Mon, 6 Feb 2012 21:06:24 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Jun 2012 18:34:07 GMT",
"version": "v2"
}
] |
2015-06-04
|
[
[
"Ferrara",
"Sergio",
""
],
[
"Kallosh",
"Renata",
""
],
[
"Marrani",
"Alessio",
""
]
] |
We study properties of D = 4, N >1 extended supergravities (and related compactifications of superstring theory) and their consistent truncation to the phenomenologically interesting models of N = 1 supergravity. This involves a detailed classification of the "degenerations" of the duality groups of type E7, when the corresponding quartic invariant polynomial built from the symplectic irreducible representation of G4 "degenerates" into a perfect square. With regard to cosmological applications, we conclude that the consistent truncation to N = 1 from higher-dimensional or higher-N theory gives a zero measure minimal coupling of vectors. A non-minimal coupling involving vectors coupled to scalars and axions is generic. These features of supergravity, following from the electric-magnetic duality, may be useful in other applications, like stabilization of moduli, and in studies of non-perturbative black-hole solutions of supergravity/string theory.
| 15.142118
| 14.189457
| 15.62416
| 14.843354
| 13.961812
| 14.703938
| 14.272833
| 13.740118
| 13.946677
| 16.434494
| 13.774764
| 14.013056
| 14.792153
| 13.91822
| 14.206833
| 14.344982
| 14.021107
| 14.319341
| 13.83275
| 14.285106
| 14.01225
|
hep-th/0002070
|
Miguel Vazquez Mozo
|
A. Feinstein, K.E. Kunze and M.A. Vazquez-Mozo
|
Initial Conditions and the Structure of the Singularity in Pre-Big-Bang
Cosmology
|
18 pages, LaTeX, epsfig. 3 figures included. Minor changes; paragraph
added in the introduction, references added and typos corrected. Final
version published in Classical and Quantum Gravity
|
Class.Quant.Grav.17:3599-3616,2000
|
10.1088/0264-9381/17/18/301
|
EHU-FT/0001, ITFA-00-03, SPIN-2000/02
|
hep-th astro-ph gr-qc
| null |
We propose a picture, within the pre-big-bang approach, in which the universe
emerges from a bath of plane gravitational and dilatonic waves. The waves
interact gravitationally breaking the exact plane symmetry and lead generically
to gravitational collapse resulting in a singularity with the Kasner-like
structure. The analytic relations between the Kasner exponents and the initial
data are explicitly evaluated and it is shown that pre-big-bang inflation may
occur within a dense set of initial data. Finally, we argue that plane waves
carry zero gravitational entropy and thus are, from a thermodynamical point of
view, good candidates for the universe to emerge from.
|
[
{
"created": "Wed, 9 Feb 2000 18:16:49 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Sep 2000 10:07:07 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Feinstein",
"A.",
""
],
[
"Kunze",
"K. E.",
""
],
[
"Vazquez-Mozo",
"M. A.",
""
]
] |
We propose a picture, within the pre-big-bang approach, in which the universe emerges from a bath of plane gravitational and dilatonic waves. The waves interact gravitationally breaking the exact plane symmetry and lead generically to gravitational collapse resulting in a singularity with the Kasner-like structure. The analytic relations between the Kasner exponents and the initial data are explicitly evaluated and it is shown that pre-big-bang inflation may occur within a dense set of initial data. Finally, we argue that plane waves carry zero gravitational entropy and thus are, from a thermodynamical point of view, good candidates for the universe to emerge from.
| 11.7262
| 13.055099
| 11.569526
| 11.171198
| 12.558242
| 12.532948
| 13.041436
| 11.21417
| 11.861327
| 12.871039
| 11.539411
| 10.74783
| 10.546615
| 10.617876
| 10.449265
| 10.485984
| 10.936487
| 10.510227
| 11.126693
| 10.820541
| 10.855249
|
2301.08261
|
Cesar D\'iaz
|
Daniel \'Avila, C\'esar D\'iaz, Leonardo Pati\~no
|
Complexity of Magnetization and Magnetic Simplification
|
17 pages, 15 figures. Published version, updated figures 4,6,12 and
some extra comments about these were added
|
Avila, D., D\'iaz, C., & Pati\~no, L. (2023). Complexity of
magnetization and magnetic simplification. Phys. Rev. D, 107, 106003
|
10.1103/PhysRevD.107.106003
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use the complexity=volume (CV) prescription to study the effect of a
magnetic field on the computational complexity for states in the gauge theories
dual to two different gravitational models. In one of these theories the
complexity increases with the intensity of the magnetic field, while in the
other a more interesting behavior is discovered, resulting in a phenomenon that
we term magnetic simplification. The relevant difference between the two
theories is that the content of the second includes a scalar operator with a
nonvanishing vacuum expectation value. This leads us to conclude that the
direct impact of the magnetic field is to increase the complexity of a state,
but it can indirectly lower it by diminishing the complexity associated to
additional degrees of freedom when these do not vanish across the space. We
additionally compare the results obtained working in the full ten-dimensional
backgrounds and in their effective five-dimensional truncations, exhibiting
that the question is still current about which surface, whether the uplift of
the 5D extremal hypersurface or the extremal surface in 10D, should be used in
the CV prescription.
|
[
{
"created": "Thu, 19 Jan 2023 19:00:03 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Jul 2023 17:05:18 GMT",
"version": "v2"
}
] |
2023-07-27
|
[
[
"Ávila",
"Daniel",
""
],
[
"Díaz",
"César",
""
],
[
"Patiño",
"Leonardo",
""
]
] |
We use the complexity=volume (CV) prescription to study the effect of a magnetic field on the computational complexity for states in the gauge theories dual to two different gravitational models. In one of these theories the complexity increases with the intensity of the magnetic field, while in the other a more interesting behavior is discovered, resulting in a phenomenon that we term magnetic simplification. The relevant difference between the two theories is that the content of the second includes a scalar operator with a nonvanishing vacuum expectation value. This leads us to conclude that the direct impact of the magnetic field is to increase the complexity of a state, but it can indirectly lower it by diminishing the complexity associated to additional degrees of freedom when these do not vanish across the space. We additionally compare the results obtained working in the full ten-dimensional backgrounds and in their effective five-dimensional truncations, exhibiting that the question is still current about which surface, whether the uplift of the 5D extremal hypersurface or the extremal surface in 10D, should be used in the CV prescription.
| 13.471131
| 12.198578
| 13.331735
| 11.251781
| 11.211349
| 11.868046
| 11.40433
| 10.894083
| 10.932215
| 13.936805
| 10.859417
| 10.878093
| 12.055305
| 10.617152
| 10.732991
| 10.764935
| 10.777574
| 10.61893
| 10.972806
| 12.036901
| 10.773714
|
1103.5745
|
Kurt Hinterbichler
|
Garrett Goon, Kurt Hinterbichler, Mark Trodden
|
Symmetries for Galileons and DBI scalars on curved space
|
52 pages, 3 figures
|
JCAP 07 (2011) 017
|
10.1088/1475-7516/2011/07/017
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We introduce a general class of four-dimensional effective field theories
which include curved space Galileons and DBI theories possessing nonlinear
shift-like symmetries. These effective theories arise from purely gravitational
actions for 3-branes probing higher dimensional spaces. In the simplest case of
a Minkowski brane embedded in a higher dimensional Minkowski background, the
resulting four-dimensional effective field theory is the Galileon one, with its
associated Galilean symmetry and second order equations. However, much more
general structures are possible. We construct the general theory and explicitly
derive the examples obtained from embedding maximally symmetric branes in
maximally symmetric ambient spaces. Among these are Galileons and DBI theories
with second order equations that live on de Sitter or anti-de Sitter space, and
yet retain the same number of symmetries as their flat space counterparts,
symmetries which are highly non-trivial from the 4d point of view. These
theories have a rich structure, containing potentials for the scalar fields,
with masses protected by the symmetries. These models may prove relevant to the
cosmology of both the early and late universe.
|
[
{
"created": "Tue, 29 Mar 2011 20:00:00 GMT",
"version": "v1"
}
] |
2011-07-20
|
[
[
"Goon",
"Garrett",
""
],
[
"Hinterbichler",
"Kurt",
""
],
[
"Trodden",
"Mark",
""
]
] |
We introduce a general class of four-dimensional effective field theories which include curved space Galileons and DBI theories possessing nonlinear shift-like symmetries. These effective theories arise from purely gravitational actions for 3-branes probing higher dimensional spaces. In the simplest case of a Minkowski brane embedded in a higher dimensional Minkowski background, the resulting four-dimensional effective field theory is the Galileon one, with its associated Galilean symmetry and second order equations. However, much more general structures are possible. We construct the general theory and explicitly derive the examples obtained from embedding maximally symmetric branes in maximally symmetric ambient spaces. Among these are Galileons and DBI theories with second order equations that live on de Sitter or anti-de Sitter space, and yet retain the same number of symmetries as their flat space counterparts, symmetries which are highly non-trivial from the 4d point of view. These theories have a rich structure, containing potentials for the scalar fields, with masses protected by the symmetries. These models may prove relevant to the cosmology of both the early and late universe.
| 8.162595
| 7.00953
| 8.471284
| 7.353709
| 8.053823
| 8.001822
| 7.559958
| 7.90745
| 7.501452
| 8.895905
| 7.222024
| 7.497033
| 8.041059
| 7.573871
| 7.868678
| 7.692676
| 7.629405
| 7.751602
| 7.592011
| 7.97787
| 7.523815
|
1910.14224
|
Jacob Bourjaily
|
Jacob L. Bourjaily, Andrew J. McLeod, Cristian Vergu, Matthias Volk,
Matt von Hippel, Matthias Wilhelm
|
Rooting Out Letters: Octagonal Symbol Alphabets and Algebraic Number
Theory
|
25 pages, 4 figures; detailed results available as ancillary files
|
JHEP 02 (2020) 025
|
10.1007/JHEP02(2020)025
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is widely expected that NMHV amplitudes in planar, maximally
supersymmetric Yang-Mills theory require symbol letters that are not rationally
expressible in terms of momentum-twistor (or cluster) variables starting at two
loops for eight particles. Recent advances in loop integration technology have
made this an `experimentally testable' hypothesis: compute the amplitude at
some kinematic point, and see if algebraic symbol letters arise. We demonstrate
the feasibility of such a test by directly integrating the most difficult of
the two-loop topologies required. This integral, together with its rotated
image, suffices to determine the simplest NMHV component amplitude: the unique
component finite at this order. Although each of these integrals involve
algebraic symbol alphabets, the combination contributing to this amplitude
is---surprisingly---rational. We describe the steps involved in this analysis,
which requires several novel tricks of loop integration and also a considerable
degree of algebraic number theory. We find dramatic and unusual
simplifications, in which the two symbols initially expressed as almost ten
million terms in over two thousand letters combine in a form that can be
written in five thousand terms and twenty-five letters.
|
[
{
"created": "Thu, 31 Oct 2019 02:40:06 GMT",
"version": "v1"
}
] |
2022-08-24
|
[
[
"Bourjaily",
"Jacob L.",
""
],
[
"McLeod",
"Andrew J.",
""
],
[
"Vergu",
"Cristian",
""
],
[
"Volk",
"Matthias",
""
],
[
"von Hippel",
"Matt",
""
],
[
"Wilhelm",
"Matthias",
""
]
] |
It is widely expected that NMHV amplitudes in planar, maximally supersymmetric Yang-Mills theory require symbol letters that are not rationally expressible in terms of momentum-twistor (or cluster) variables starting at two loops for eight particles. Recent advances in loop integration technology have made this an `experimentally testable' hypothesis: compute the amplitude at some kinematic point, and see if algebraic symbol letters arise. We demonstrate the feasibility of such a test by directly integrating the most difficult of the two-loop topologies required. This integral, together with its rotated image, suffices to determine the simplest NMHV component amplitude: the unique component finite at this order. Although each of these integrals involve algebraic symbol alphabets, the combination contributing to this amplitude is---surprisingly---rational. We describe the steps involved in this analysis, which requires several novel tricks of loop integration and also a considerable degree of algebraic number theory. We find dramatic and unusual simplifications, in which the two symbols initially expressed as almost ten million terms in over two thousand letters combine in a form that can be written in five thousand terms and twenty-five letters.
| 17.455923
| 19.278551
| 19.116425
| 16.529982
| 18.869362
| 18.877625
| 17.998047
| 16.974934
| 17.145489
| 19.440441
| 15.63459
| 15.754234
| 17.155081
| 16.573994
| 16.965176
| 16.50889
| 16.649572
| 16.831007
| 16.180595
| 17.12007
| 16.959003
|
0911.0266
|
Hideki Ishihara
|
Takahisa Igata and Hideki Ishihara
|
Toroidal Spiral Nambu-Goto Strings around Higher-Dimensional Black Holes
|
9 pages, 5 figures
|
Phys.Rev.D82:044014,2010
|
10.1103/PhysRevD.82.044014
|
OCU-PHYS 321, AP-GR 72
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present solutions of the Nambu-Goto equation for test strings in a shape
of toroidal spiral in five-dimensional spacetimes. In particular, we show that
stationary toroidal spirals exist around the five-dimensional Myers-Perry black
holes. We also show the existence of innermost stationary toroidal spirals
around the five-dimensional black holes like geodesic particles orbiting around
four-dimensional black holes.
|
[
{
"created": "Mon, 2 Nov 2009 09:32:29 GMT",
"version": "v1"
}
] |
2014-11-20
|
[
[
"Igata",
"Takahisa",
""
],
[
"Ishihara",
"Hideki",
""
]
] |
We present solutions of the Nambu-Goto equation for test strings in a shape of toroidal spiral in five-dimensional spacetimes. In particular, we show that stationary toroidal spirals exist around the five-dimensional Myers-Perry black holes. We also show the existence of innermost stationary toroidal spirals around the five-dimensional black holes like geodesic particles orbiting around four-dimensional black holes.
| 9.28429
| 7.910469
| 9.160899
| 7.527004
| 8.517396
| 7.903133
| 8.095166
| 8.061354
| 8.902288
| 9.892774
| 7.781541
| 8.967767
| 9.05228
| 8.420028
| 8.426313
| 8.799993
| 8.817835
| 8.361623
| 9.018301
| 8.582344
| 8.393746
|
hep-th/0009125
|
Henrique Boschi-Filho
|
P. F. Borges, H. Boschi-Filho and C. Farina
|
The effect of a topological gauge field on Bose-Einstein condensation
|
12 Latex pages, revises and extends work in hep-th/9812045
|
Phys.Lett. B460 (1999) 376-382
|
10.1016/S0370-2693(99)00739-X
| null |
hep-th cond-mat
| null |
We show that Bose-Einstein condensation of charged scalar fields interacting
with a topological gauge field at finite temperature is inhibited except for
special values of the topological field. We also show that fermions interacting
with this topological gauge field can condense for some values of the gauge
field.
|
[
{
"created": "Fri, 15 Sep 2000 14:40:29 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Borges",
"P. F.",
""
],
[
"Boschi-Filho",
"H.",
""
],
[
"Farina",
"C.",
""
]
] |
We show that Bose-Einstein condensation of charged scalar fields interacting with a topological gauge field at finite temperature is inhibited except for special values of the topological field. We also show that fermions interacting with this topological gauge field can condense for some values of the gauge field.
| 8.362215
| 7.259124
| 8.141249
| 6.69733
| 7.663218
| 7.166582
| 7.866511
| 7.472275
| 7.192854
| 7.75065
| 7.281901
| 7.931686
| 8.514908
| 7.674803
| 7.718856
| 7.753648
| 7.945978
| 7.636927
| 8.460739
| 8.588403
| 7.561057
|
1709.02290
|
Andrei Mironov
|
A. Mironov, A. Morozov and A. Sleptsov
|
On $6j$-symbols for symmetric representations of $U_q(\mathfrak{su}_N)$
|
9 pages
|
Pis'ma v ZhETF, 106 (2017) 607
|
10.1134/S0021364017220040
|
FIAN/TD-18/17; IITP/TH-14/17; ITEP/TH-23/17
|
hep-th math-ph math.MP math.QA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Explicit expressions are found for the $6j$ symbols in symmetric
representations of quantum $\mathfrak{su}_N$ through appropriate hypergeometric
Askey-Wilson (q-Racah) polynomials. This generalizes the well-known classical
formulas for $U_q(\mathfrak{su}_2)$ and provides a link to conformal theories
and matrix models.
|
[
{
"created": "Thu, 7 Sep 2017 14:51:07 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Oct 2017 08:48:54 GMT",
"version": "v2"
}
] |
2017-12-06
|
[
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
],
[
"Sleptsov",
"A.",
""
]
] |
Explicit expressions are found for the $6j$ symbols in symmetric representations of quantum $\mathfrak{su}_N$ through appropriate hypergeometric Askey-Wilson (q-Racah) polynomials. This generalizes the well-known classical formulas for $U_q(\mathfrak{su}_2)$ and provides a link to conformal theories and matrix models.
| 10.315716
| 9.932907
| 11.535913
| 9.144044
| 9.108564
| 9.063627
| 9.128824
| 10.721288
| 8.758823
| 10.96029
| 9.354778
| 9.342497
| 9.30542
| 9.801378
| 9.284788
| 9.515945
| 9.200435
| 10.20357
| 9.336955
| 9.942728
| 9.369398
|
hep-th/0207066
|
Frank Ferrari
|
Frank Ferrari (University of Neuchatel and Ecole Normale Superieure)
|
Spectral asymmetry and supersymmetry
|
9 pages; v2: typos corrected
|
Phys.Lett. B548 (2002) 68-72
|
10.1016/S0370-2693(02)02820-4
|
NEIP-02-005, LPTENS-02/38
|
hep-th cond-mat math-ph math.MP
| null |
Fractional charges, and in particular the spectral asymmetry eta of certain
Dirac operators, can appear in the central charge of supersymmetric field
theories. This yields unexpected analyticity constraints on eta from which
classic results can be recovered in an elegant way. The method could also be
applied in the context of string theory.
|
[
{
"created": "Mon, 8 Jul 2002 13:35:56 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Oct 2002 10:37:29 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Ferrari",
"Frank",
"",
"University of Neuchatel and Ecole Normale Superieure"
]
] |
Fractional charges, and in particular the spectral asymmetry eta of certain Dirac operators, can appear in the central charge of supersymmetric field theories. This yields unexpected analyticity constraints on eta from which classic results can be recovered in an elegant way. The method could also be applied in the context of string theory.
| 19.290981
| 19.370583
| 19.062284
| 17.468937
| 19.016804
| 19.850271
| 21.402945
| 21.672043
| 18.071489
| 22.18862
| 17.868135
| 18.314829
| 21.077478
| 17.420799
| 17.797724
| 19.217165
| 18.762928
| 17.851044
| 17.18449
| 19.581165
| 18.136358
|
hep-th/0606209
|
Alessio Marrani
|
Stefano Bellucci, Sergio Ferrara, Murat Gunaydin, Alessio Marrani
|
Charge Orbits of Symmetric Special Geometries and Attractors
|
63 pages, 9 Tables. v2: typos fixed, Refs. added, accepted for
publication in IJMPA
|
Int.J.Mod.Phys.A21:5043-5098,2006
|
10.1142/S0217751X06034355
|
CERN-PH-TH/2006-108, LNF-06-16-P, UCLA/06/TEP/18
|
hep-th
| null |
We study the critical points of the black hole scalar potential $V_{BH}$ in
N=2, d=4 supergravity coupled to $n_{V}$ vector multiplets, in an
asymptotically flat extremal black hole background described by a
2(n_{V}+1)-dimensional dyonic charge vector and (complex) scalar fields which
are coordinates of a special K\"{a}hler manifold.
For the case of homogeneous symmetric spaces, we find three general classes
of regular attractor solutions with non-vanishing Bekenstein-Hawking entropy.
They correspond to three (inequivalent) classes of orbits of the charge vector,
which is in a 2(n_{V}+1)-dimensional representation $R_{V}$ of the U-duality
group. Such orbits are non-degenerate, namely they have non-vanishing quartic
invariant (for rank-3 spaces). Other than the 1/2-BPS one, there are two other
distinct non-BPS classes of charge orbits, one of which has vanishing central
charge.
The three species of solutions to the N=2 extremal black hole attractor
equations give rise to different mass spectra of the scalar fluctuations, whose
pattern can be inferred by using invariance properties of the critical points
of $V_{BH}$ and some group theoretical considerations on homogeneous symmetric
special K\"{a}hler geometry.
|
[
{
"created": "Wed, 21 Jun 2006 15:32:53 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Sep 2006 08:58:53 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Bellucci",
"Stefano",
""
],
[
"Ferrara",
"Sergio",
""
],
[
"Gunaydin",
"Murat",
""
],
[
"Marrani",
"Alessio",
""
]
] |
We study the critical points of the black hole scalar potential $V_{BH}$ in N=2, d=4 supergravity coupled to $n_{V}$ vector multiplets, in an asymptotically flat extremal black hole background described by a 2(n_{V}+1)-dimensional dyonic charge vector and (complex) scalar fields which are coordinates of a special K\"{a}hler manifold. For the case of homogeneous symmetric spaces, we find three general classes of regular attractor solutions with non-vanishing Bekenstein-Hawking entropy. They correspond to three (inequivalent) classes of orbits of the charge vector, which is in a 2(n_{V}+1)-dimensional representation $R_{V}$ of the U-duality group. Such orbits are non-degenerate, namely they have non-vanishing quartic invariant (for rank-3 spaces). Other than the 1/2-BPS one, there are two other distinct non-BPS classes of charge orbits, one of which has vanishing central charge. The three species of solutions to the N=2 extremal black hole attractor equations give rise to different mass spectra of the scalar fluctuations, whose pattern can be inferred by using invariance properties of the critical points of $V_{BH}$ and some group theoretical considerations on homogeneous symmetric special K\"{a}hler geometry.
| 7.346928
| 6.728043
| 8.318349
| 6.860946
| 7.154473
| 6.557081
| 6.730707
| 6.931658
| 6.768155
| 8.779963
| 6.806639
| 7.185931
| 7.747894
| 7.297365
| 7.130058
| 7.226885
| 7.151614
| 7.129427
| 7.319909
| 7.919919
| 7.049367
|
1809.03611
|
Edwin Ireson
|
Edwin Ireson
|
Worldsheets in Holography: Computing Corrections to the Veneziano
Amplitude
|
24 pages, 7 figures, in preparation for submission to MPLA
| null |
10.1142/S0217732319300027
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We provide a brief summary of a method to calculate improvements to the
Veneziano Amplitude, creating sub-leading non-linearities in the Regge
trajectory of states. We formulate it as an extension of a computation by
Makeenko and Olesen. We begin in a confining gauge theory coupled to matter,
rewriting the meson scattering amplitude as a specific path integral over
shapes and sizes of closed Wilson loops using the worldline formalism. We then
prescribe how to further the computation at strong coupling by employing
holography, which provides a prescription for the expectation value of these
Wilson loops in strongly coupled regimes. We find that the problem can then be
thought of as a computation in an effective field theory of a string worldsheet
sigma model, evolving in a broad class of holographic backgrounds. A convenient
interaction picture presents itself naturally in this context, allowing us to
draw Feynman diagrams corresponding to the first few corrections due to weaker
coupling regimes. The answer we find has qualitatively the same features as
other endeavours with the same objective.
|
[
{
"created": "Mon, 10 Sep 2018 21:52:11 GMT",
"version": "v1"
}
] |
2019-05-22
|
[
[
"Ireson",
"Edwin",
""
]
] |
We provide a brief summary of a method to calculate improvements to the Veneziano Amplitude, creating sub-leading non-linearities in the Regge trajectory of states. We formulate it as an extension of a computation by Makeenko and Olesen. We begin in a confining gauge theory coupled to matter, rewriting the meson scattering amplitude as a specific path integral over shapes and sizes of closed Wilson loops using the worldline formalism. We then prescribe how to further the computation at strong coupling by employing holography, which provides a prescription for the expectation value of these Wilson loops in strongly coupled regimes. We find that the problem can then be thought of as a computation in an effective field theory of a string worldsheet sigma model, evolving in a broad class of holographic backgrounds. A convenient interaction picture presents itself naturally in this context, allowing us to draw Feynman diagrams corresponding to the first few corrections due to weaker coupling regimes. The answer we find has qualitatively the same features as other endeavours with the same objective.
| 17.791006
| 18.095968
| 18.924067
| 17.2337
| 17.798677
| 17.923235
| 17.680014
| 17.519184
| 16.890554
| 20.94499
| 17.392128
| 18.74217
| 18.103436
| 17.785261
| 18.210978
| 18.485386
| 18.156666
| 18.270813
| 17.494637
| 18.551937
| 17.772675
|
hep-th/9502072
| null |
A. Ceresole, R. D'Auria, S. Ferrara and A. Van Proeyen
|
Duality Transformations in Supersymmetric Yang-Mills Theories coupled to
Supergravity,
|
41 pages, harvmac, no figures. References added, and minor printing
error corrected.
|
Nucl.Phys. B444 (1995) 92-124
|
10.1016/0550-3213(95)00175-R
|
CERN-TH 7547/94, POLFIS-TH. 01/95, UCLA 94/TEP/45, KUL-TF-95/4
|
hep-th
| null |
We consider duality transformations in N=2, d=4 Yang--Mills theory coupled to
N=2 supergravity. A symplectic and coordinate covariant framework is
established, which allows one to discuss stringy `classical and quantum duality
symmetries' (monodromies), incorporating T and S dualities. In particular, we
shall be able to study theories (like N=2 heterotic strings) which are
formulated in symplectic basis where a `holomorphic prepotential' F does not
exist, and yet give general expressions for all relevant physical quantities.
Duality transformations and symmetries for the N=1 matter coupled Yang--Mills
supergravity system are also exhibited. The implications of duality symmetry on
all N>2 extended supergravities are briefly mentioned. We finally give the
general form of the central charge and the N=2 semiclassical spectrum of the
dyonic BPS saturated states (as it comes by truncation of the N=4 spectrum).
|
[
{
"created": "Mon, 13 Feb 1995 17:38:56 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Mar 1995 17:59:09 GMT",
"version": "v2"
}
] |
2016-09-06
|
[
[
"Ceresole",
"A.",
""
],
[
"D'Auria",
"R.",
""
],
[
"Ferrara",
"S.",
""
],
[
"Van Proeyen",
"A.",
""
]
] |
We consider duality transformations in N=2, d=4 Yang--Mills theory coupled to N=2 supergravity. A symplectic and coordinate covariant framework is established, which allows one to discuss stringy `classical and quantum duality symmetries' (monodromies), incorporating T and S dualities. In particular, we shall be able to study theories (like N=2 heterotic strings) which are formulated in symplectic basis where a `holomorphic prepotential' F does not exist, and yet give general expressions for all relevant physical quantities. Duality transformations and symmetries for the N=1 matter coupled Yang--Mills supergravity system are also exhibited. The implications of duality symmetry on all N>2 extended supergravities are briefly mentioned. We finally give the general form of the central charge and the N=2 semiclassical spectrum of the dyonic BPS saturated states (as it comes by truncation of the N=4 spectrum).
| 9.761495
| 10.258958
| 11.592083
| 10.309632
| 10.734808
| 10.656529
| 9.789437
| 10.170841
| 10.000486
| 12.915902
| 10.157896
| 9.866256
| 10.878129
| 10.097058
| 10.122401
| 9.865011
| 10.203509
| 9.75102
| 9.844056
| 10.582924
| 9.870425
|
hep-th/9504138
| null |
S. Krivonos, A. Sorin and F. Toppan
|
On the Super-NLS Equation and its Relation with N=2 Super-KdV within
Coset Approach
|
10 pages, LaTex
|
Phys.Lett. A206 (1995) 146-152
|
10.1016/0375-9601(95)00651-I
|
JINR E2-95-185; DFPD 95-TH-24
|
hep-th
| null |
A manifestly $N=2$ supersymmetric coset formalism is introduced to describe
integrable hierarchies. It is applied to analyze the super-NLS equation. It
possesses an $N=2$ symmetry since it can be obtained from a manifest $N=2$
coset algebra construction. A remarkable result is here discussed: the
existence of a B\"{a}cklund transformation which connects the super-NLS
equation to the equations belonging to the integrable hierarchy of one
particular (the $a=4$) $N=2$ super-KdV equation. $N=2$ scalar Lax pair
operators are introduced for both super-KdV and super-NLS.
|
[
{
"created": "Wed, 26 Apr 1995 12:12:39 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Krivonos",
"S.",
""
],
[
"Sorin",
"A.",
""
],
[
"Toppan",
"F.",
""
]
] |
A manifestly $N=2$ supersymmetric coset formalism is introduced to describe integrable hierarchies. It is applied to analyze the super-NLS equation. It possesses an $N=2$ symmetry since it can be obtained from a manifest $N=2$ coset algebra construction. A remarkable result is here discussed: the existence of a B\"{a}cklund transformation which connects the super-NLS equation to the equations belonging to the integrable hierarchy of one particular (the $a=4$) $N=2$ super-KdV equation. $N=2$ scalar Lax pair operators are introduced for both super-KdV and super-NLS.
| 9.450058
| 9.151781
| 10.286491
| 8.258489
| 8.823605
| 8.786378
| 9.017634
| 8.517073
| 8.100306
| 10.631294
| 8.665633
| 8.134066
| 8.784601
| 8.328069
| 8.628304
| 8.416475
| 8.330541
| 8.337712
| 8.180804
| 8.661442
| 8.260345
|
2303.14200
|
Adam Tropper
|
Adam Tropper and Tianli Wang
|
Lorentz Symmetry and IR Structure of The BFSS Matrix Model
|
25 + 7 pages
| null |
10.1007/JHEP07(2023)150
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The BFSS matrix model relates flat space M-theory to a large N limit of
matrix quantum mechanics describing N D0-branes. M-theory, being a theory of
gravity in flat space, has a rich infrared structure that includes various soft
theorems and an infinite set of conserved charges associated to asymptotic
symmetries. In this work, we ask: to what extent is this infrared structure
present in BFSS? We find that all the salient features concerning the infrared
structure of M-theory carry over naturally to the quantum mechanics dual.
Moreover, we demonstrate that the dual statement of the soft graviton theorem
in the matrix model implies that D0-brane scattering amplitudes in BFSS enjoy
the full 11d Lorentz symmetry of M-theory, a claim which has been long
anticipated. We also offer several first-principle consistency checks for our
findings, including a computation of the soft theorem which does not presuppose
the BFSS duality and a non-trivial match between several known symmetries of
M-theory and BFSS that appear naturally in this formalism. These calculations
give non-perturbative evidence in support of the BFSS duality as a model of
flat space holography.
|
[
{
"created": "Fri, 24 Mar 2023 18:00:00 GMT",
"version": "v1"
}
] |
2023-08-09
|
[
[
"Tropper",
"Adam",
""
],
[
"Wang",
"Tianli",
""
]
] |
The BFSS matrix model relates flat space M-theory to a large N limit of matrix quantum mechanics describing N D0-branes. M-theory, being a theory of gravity in flat space, has a rich infrared structure that includes various soft theorems and an infinite set of conserved charges associated to asymptotic symmetries. In this work, we ask: to what extent is this infrared structure present in BFSS? We find that all the salient features concerning the infrared structure of M-theory carry over naturally to the quantum mechanics dual. Moreover, we demonstrate that the dual statement of the soft graviton theorem in the matrix model implies that D0-brane scattering amplitudes in BFSS enjoy the full 11d Lorentz symmetry of M-theory, a claim which has been long anticipated. We also offer several first-principle consistency checks for our findings, including a computation of the soft theorem which does not presuppose the BFSS duality and a non-trivial match between several known symmetries of M-theory and BFSS that appear naturally in this formalism. These calculations give non-perturbative evidence in support of the BFSS duality as a model of flat space holography.
| 8.270488
| 8.129727
| 8.399049
| 7.706765
| 8.145561
| 8.216264
| 7.678429
| 7.658261
| 7.669166
| 8.918727
| 7.376366
| 7.896212
| 7.790025
| 7.674531
| 7.784009
| 7.797413
| 7.683211
| 7.691322
| 7.6858
| 7.818199
| 7.553349
|
1907.12292
|
A. Emir Gumrukcuoglu
|
A. Emir Gumrukcuoglu, Ryo Namba
|
Role of matter in gravitation: going beyond the Einstein-Maxwell theory
|
5 pages; v2 update to match the published version
|
Phys. Rev. D 100, 124064 (2019)
|
10.1103/PhysRevD.100.124064
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
For field theories in curved spacetime, defining how matter gravitates is
part of the theory building process. In this letter, we adopt Bekenstein's
multiple geometries approach to allow part of the matter sector to follow the
geodesics on a general pseudo-Riemannian geometry, constructed from a tensor
and a $U(1)$ gauge field. This procedure allows us to generate a previously
unknown corner of vector-tensor theories. In the Jordan frame, apparent
high-derivative terms of the vector field are reduced by integrating out an
auxiliary variable, at the cost of introducing new matter interactions. As a
simple example, we consider a conformal relation between different geometries
and demonstrate the presence of an auxiliary degree. We conclude with a
discussion of applications, in particular for the early universe.
|
[
{
"created": "Mon, 29 Jul 2019 09:25:16 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Jan 2020 07:08:18 GMT",
"version": "v2"
}
] |
2020-01-03
|
[
[
"Gumrukcuoglu",
"A. Emir",
""
],
[
"Namba",
"Ryo",
""
]
] |
For field theories in curved spacetime, defining how matter gravitates is part of the theory building process. In this letter, we adopt Bekenstein's multiple geometries approach to allow part of the matter sector to follow the geodesics on a general pseudo-Riemannian geometry, constructed from a tensor and a $U(1)$ gauge field. This procedure allows us to generate a previously unknown corner of vector-tensor theories. In the Jordan frame, apparent high-derivative terms of the vector field are reduced by integrating out an auxiliary variable, at the cost of introducing new matter interactions. As a simple example, we consider a conformal relation between different geometries and demonstrate the presence of an auxiliary degree. We conclude with a discussion of applications, in particular for the early universe.
| 14.812802
| 14.973495
| 13.630084
| 13.130638
| 14.410646
| 15.446986
| 14.905177
| 13.619789
| 13.526607
| 13.914315
| 13.105024
| 13.14988
| 13.030226
| 12.971334
| 13.275869
| 12.988815
| 13.297023
| 13.164546
| 13.795359
| 13.452929
| 13.099785
|
hep-th/0510101
|
Archil Kobakhidze
|
Laura Mersini-Houghton
|
Do We Have Evidence for New Physics in the Sky?
|
Invited Review to appear in MPLA. Based on work done with Steen
Hannestad
|
Mod.Phys.Lett. A21 (2006) 1-22
|
10.1142/S0217732306019268
|
pp 1-21
|
hep-th astro-ph hep-ph
| null |
Predicting signatures of string theory on cosmological observables is not
sufficient. Often the observable effects string theory may impact upon the
cosmological arena may equally be predicted by features of inflationary
physics. The question: what observable signatures are unique to new physics, is
thus of crucial importance for claiming evidence for the theory. Here we
discuss recent progress in addressing the above question. The evidence relies
on identifying discrepancies between the source terms that give rise to large
scale structure (LSS) and CMB, by cross-correlating the weak lensing potential
maps LSS with the CMB spectra.
|
[
{
"created": "Wed, 12 Oct 2005 16:38:10 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Mersini-Houghton",
"Laura",
""
]
] |
Predicting signatures of string theory on cosmological observables is not sufficient. Often the observable effects string theory may impact upon the cosmological arena may equally be predicted by features of inflationary physics. The question: what observable signatures are unique to new physics, is thus of crucial importance for claiming evidence for the theory. Here we discuss recent progress in addressing the above question. The evidence relies on identifying discrepancies between the source terms that give rise to large scale structure (LSS) and CMB, by cross-correlating the weak lensing potential maps LSS with the CMB spectra.
| 21.022438
| 25.8221
| 21.163275
| 20.504307
| 25.841345
| 23.266596
| 22.374508
| 24.02692
| 21.080576
| 23.303465
| 22.669649
| 19.311579
| 19.524971
| 19.606916
| 19.783533
| 19.022045
| 20.219261
| 18.942028
| 20.077366
| 19.943708
| 21.186922
|
1104.1349
|
Neven Bilic
|
Neven Bilic
|
Vacuum fluctuations in a supersymmetric model in FRW spacetime
|
19 pages, accepted for publication in Phys. Rev. D
|
Phys.Rev.D83:105003,2011
|
10.1103/PhysRevD.83.105003
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study a noninteracting supersymmetric model in an expanding FRW spacetime.
A soft supersymmetry breaking induces a nonzero contribution to the vacuum
energy density. A short distance cutoff of the order of Planck length provides
a scale for the vacuum energy density comparable with the observed cosmological
constant. Assuming the presence of a dark energy substance in addition to the
vacuum fluctuations of the field an effective equation of state is derived in a
selfconsistent approach. The effective equation of state is sensitive to the
choice of the cut-off but no fine tuning is needed.
|
[
{
"created": "Thu, 7 Apr 2011 14:58:55 GMT",
"version": "v1"
}
] |
2011-05-13
|
[
[
"Bilic",
"Neven",
""
]
] |
We study a noninteracting supersymmetric model in an expanding FRW spacetime. A soft supersymmetry breaking induces a nonzero contribution to the vacuum energy density. A short distance cutoff of the order of Planck length provides a scale for the vacuum energy density comparable with the observed cosmological constant. Assuming the presence of a dark energy substance in addition to the vacuum fluctuations of the field an effective equation of state is derived in a selfconsistent approach. The effective equation of state is sensitive to the choice of the cut-off but no fine tuning is needed.
| 10.831995
| 10.339545
| 10.139923
| 9.261678
| 10.554335
| 10.808033
| 10.819842
| 9.831397
| 9.733221
| 9.689209
| 10.290382
| 10.104927
| 9.668777
| 9.661136
| 10.221255
| 9.978178
| 10.141335
| 10.053002
| 10.050448
| 9.907042
| 9.895791
|
0911.2546
|
Gabriele Tartaglino-Mazzucchelli
|
Gabriele Tartaglino-Mazzucchelli
|
2D N=(4,4) superspace supergravity and bi-projective superfields
|
50+1 pages, LaTeX; V2: 52 pages, typos corrected, comments added,
version published in JHEP
|
JHEP 1004:034,2010
|
10.1007/JHEP04(2010)034
|
UMD-PP-09-046
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a new superspace formulation for N=(4,4) conformal supergravity in
two dimensions. This is based on a geometry where the structure group of the
curved superspace is chosen to be SO(1,1) x SU(2)_L x SU(2)_R. The off-shell
supergravity multiplet possesses super-Weyl transformations generated by an
unconstrained real scalar superfield. The new supergravity formulation turns
out to be an extension of the minimal multiplet introduced in 1988 by Gates et.
al. and it allows the existence of various off-shell matter supermultiplets.
Covariant twisted-II and twisted-I multiplets respectively describe the field
strength of an Abelian vector multiplet and its prepotential. Moreover, we
introduce covariant bi-projective superfields. These define a large class of
matter multiplets coupled to 2D N=(4,4) conformal supergravity. They are the
analogue of the covariant projective superfields recently introduced for 4D and
5D matter-coupled supergravity but they differ by the fact that bi-projective
superfields are defined with the use of two CP^1 instead of one. We conclude by
giving a manifestly locally supersymmetric and super-Weyl invariant action
principle in bi-projective superspace.
|
[
{
"created": "Fri, 13 Nov 2009 19:16:05 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Apr 2010 11:52:10 GMT",
"version": "v2"
}
] |
2010-04-23
|
[
[
"Tartaglino-Mazzucchelli",
"Gabriele",
""
]
] |
We propose a new superspace formulation for N=(4,4) conformal supergravity in two dimensions. This is based on a geometry where the structure group of the curved superspace is chosen to be SO(1,1) x SU(2)_L x SU(2)_R. The off-shell supergravity multiplet possesses super-Weyl transformations generated by an unconstrained real scalar superfield. The new supergravity formulation turns out to be an extension of the minimal multiplet introduced in 1988 by Gates et. al. and it allows the existence of various off-shell matter supermultiplets. Covariant twisted-II and twisted-I multiplets respectively describe the field strength of an Abelian vector multiplet and its prepotential. Moreover, we introduce covariant bi-projective superfields. These define a large class of matter multiplets coupled to 2D N=(4,4) conformal supergravity. They are the analogue of the covariant projective superfields recently introduced for 4D and 5D matter-coupled supergravity but they differ by the fact that bi-projective superfields are defined with the use of two CP^1 instead of one. We conclude by giving a manifestly locally supersymmetric and super-Weyl invariant action principle in bi-projective superspace.
| 6.80799
| 6.684886
| 8.381462
| 6.555604
| 6.888361
| 7.042115
| 6.856792
| 6.685137
| 6.841536
| 8.758162
| 7.078783
| 6.725758
| 7.25502
| 6.939486
| 6.982247
| 6.881248
| 7.018266
| 6.926619
| 6.707549
| 7.208645
| 6.719511
|
1312.6196
|
Benjamin Horowitz
|
Benjamin Horowitz
|
Group Theoretical Approach to the Construction of Conformal Field
Theories
|
7 pages, 3 figures
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A conformal field theory (CFT) is a quantum field theory which is invariant
under conformal transformations; a group action that preserve angles but not
necessarily lengths. There are two traditional approaches to the construction
of CFTs: analyzing a statistical system near a critical point as a euclidean
field theory, and in holographic duality within the context of string theory.
This pedagogical paper presents a construction of CFTs using purely group
theoretic techniques. Starting with the basic definition of a Lie algebra and
quantum field theory, we generalize to affine Lie algebras and form a energy
momentum tensor via the Sugawara construction.
|
[
{
"created": "Sat, 21 Dec 2013 03:17:32 GMT",
"version": "v1"
}
] |
2013-12-24
|
[
[
"Horowitz",
"Benjamin",
""
]
] |
A conformal field theory (CFT) is a quantum field theory which is invariant under conformal transformations; a group action that preserve angles but not necessarily lengths. There are two traditional approaches to the construction of CFTs: analyzing a statistical system near a critical point as a euclidean field theory, and in holographic duality within the context of string theory. This pedagogical paper presents a construction of CFTs using purely group theoretic techniques. Starting with the basic definition of a Lie algebra and quantum field theory, we generalize to affine Lie algebras and form a energy momentum tensor via the Sugawara construction.
| 9.175641
| 7.959695
| 9.102169
| 8.37347
| 8.623147
| 8.167049
| 8.857176
| 8.859628
| 8.214009
| 9.96673
| 7.981158
| 8.297556
| 8.411486
| 8.11674
| 8.204267
| 7.84195
| 8.066737
| 8.122044
| 8.116575
| 8.601926
| 8.16865
|
2111.12075
|
Josef Kluson
|
J. Kluson
|
New Non-Relativistic String in AdS(5)xS(5)
|
17 pages
| null | null | null |
hep-th
|
http://creativecommons.org/publicdomain/zero/1.0/
|
We study non-relativistic limit of AdS(5)xS(5) background and determine
corresponding Newton-Cartan fields. We also find canonical form of the new
non-relativistic string in this background and discuss its formulation in the
uniform light-cone gauge.
|
[
{
"created": "Tue, 23 Nov 2021 18:47:50 GMT",
"version": "v1"
}
] |
2021-11-24
|
[
[
"Kluson",
"J.",
""
]
] |
We study non-relativistic limit of AdS(5)xS(5) background and determine corresponding Newton-Cartan fields. We also find canonical form of the new non-relativistic string in this background and discuss its formulation in the uniform light-cone gauge.
| 11.575976
| 6.815564
| 12.624569
| 7.861421
| 7.376069
| 7.366239
| 7.546865
| 7.135448
| 8.13314
| 11.386046
| 7.799337
| 8.308413
| 12.273904
| 8.717681
| 8.42621
| 7.718762
| 8.18525
| 8.071346
| 8.464504
| 11.461597
| 8.326834
|
1904.13394
|
Congkao Wen
|
Michael B. Green, Congkao Wen
|
Modular Forms and $SL(2, {\mathbb Z})$-covariance of type IIB
superstring theory
|
58 pages, 4 figures. v2: typos corrected, JHEP version
| null |
10.1007/JHEP06(2019)087
|
QMUL-PH-19-07, DAMTP-2019-15
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The local higher-derivative interactions that enter into the low-energy
expansion of the effective action of type IIB superstring theory with constant
complex modulus generally violate the $U(1)$ R-symmetry of IIB supergravity by
$q_U$ units. These interactions have coefficients that transform as
non-holomorphic modular forms under $SL(2, {\mathbb Z})$ transformations with
holomorphic and anti-holomorphic weights $(w,-w)$, where $q_U=-2w$.
In this paper $SL(2, {\mathbb Z})$-covariance and supersymmetry are used to
determine first-order differential equations on moduli space that relate the
modular form coefficients of classes of BPS-protected maximal $U(1)$-violating
interactions that arise at low orders in the low-energy expansion. These are
the moduli-dependent coefficients of BPS interactions of the form $d^{2p}
\mathcal{P}_n$ in linearised approximation, where $\mathcal{P}_n$ is the
product of $n$ fields that has dimension $=8$ with $q_U=8-2n$, and $p=0$, $2$
or $3$. These first-order equations imply that the coefficients satisfy $SL(2,
{\mathbb Z})$-covariant Laplace eigenvalue equations on moduli space with
solutions that contain information concerning perturbative and non-perturbative
contributions to superstring amplitudes. For $p=3$ and $n\ge 6$ there are two
independent modular forms, one of which has a vanishing tree-level
contribution.
The analysis of super-amplitudes for $U(1)$-violating processes involving
arbitrary numbers of external fluctuations of the complex modulus leads to a
diagrammatic derivation of the first-order differential relations and Laplace
equations satisfied by the coefficient modular forms. Combining this with a
$SL(2, {\mathbb Z})$-covariant soft axio-dilaton limit that relates amplitudes
with different values of $n$ determines most of the modular invariant
coefficients, leaving a single undetermined constant.
|
[
{
"created": "Tue, 30 Apr 2019 17:57:48 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Jun 2019 10:16:22 GMT",
"version": "v2"
}
] |
2019-07-24
|
[
[
"Green",
"Michael B.",
""
],
[
"Wen",
"Congkao",
""
]
] |
The local higher-derivative interactions that enter into the low-energy expansion of the effective action of type IIB superstring theory with constant complex modulus generally violate the $U(1)$ R-symmetry of IIB supergravity by $q_U$ units. These interactions have coefficients that transform as non-holomorphic modular forms under $SL(2, {\mathbb Z})$ transformations with holomorphic and anti-holomorphic weights $(w,-w)$, where $q_U=-2w$. In this paper $SL(2, {\mathbb Z})$-covariance and supersymmetry are used to determine first-order differential equations on moduli space that relate the modular form coefficients of classes of BPS-protected maximal $U(1)$-violating interactions that arise at low orders in the low-energy expansion. These are the moduli-dependent coefficients of BPS interactions of the form $d^{2p} \mathcal{P}_n$ in linearised approximation, where $\mathcal{P}_n$ is the product of $n$ fields that has dimension $=8$ with $q_U=8-2n$, and $p=0$, $2$ or $3$. These first-order equations imply that the coefficients satisfy $SL(2, {\mathbb Z})$-covariant Laplace eigenvalue equations on moduli space with solutions that contain information concerning perturbative and non-perturbative contributions to superstring amplitudes. For $p=3$ and $n\ge 6$ there are two independent modular forms, one of which has a vanishing tree-level contribution. The analysis of super-amplitudes for $U(1)$-violating processes involving arbitrary numbers of external fluctuations of the complex modulus leads to a diagrammatic derivation of the first-order differential relations and Laplace equations satisfied by the coefficient modular forms. Combining this with a $SL(2, {\mathbb Z})$-covariant soft axio-dilaton limit that relates amplitudes with different values of $n$ determines most of the modular invariant coefficients, leaving a single undetermined constant.
| 6.540978
| 6.91609
| 7.261083
| 6.626986
| 7.438632
| 6.929548
| 6.931025
| 6.789346
| 6.543951
| 7.940566
| 6.3731
| 6.533388
| 6.63209
| 6.474109
| 6.591502
| 6.55254
| 6.651433
| 6.521891
| 6.447119
| 6.716188
| 6.495942
|
1804.08566
|
Alesandro Santos A. F. Santos
|
A. F. Santos and Faqir C. Khanna
|
Lorentz violation, M\"oller scattering and finite temperature
|
12 pages, 1 figure, accepted for publication in Adv. High Energy Phys
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Lorentz and CPT symmetries may be violated in new physics that emerges at
very high energy scale, i.e., at the Planck scale. The differential cross
section of the M\"oller scattering, due to Lorentz violation at finite
temperature is calculated. Lorentz-violating effects emerge from an interaction
vertex due to a CPT-odd nonminimal coupling in the covariant derivative. The
finite temperature effects are determined using the Thermo Field Dynamics (TFD)
formalism.
|
[
{
"created": "Mon, 23 Apr 2018 17:03:01 GMT",
"version": "v1"
}
] |
2018-04-24
|
[
[
"Santos",
"A. F.",
""
],
[
"Khanna",
"Faqir C.",
""
]
] |
Lorentz and CPT symmetries may be violated in new physics that emerges at very high energy scale, i.e., at the Planck scale. The differential cross section of the M\"oller scattering, due to Lorentz violation at finite temperature is calculated. Lorentz-violating effects emerge from an interaction vertex due to a CPT-odd nonminimal coupling in the covariant derivative. The finite temperature effects are determined using the Thermo Field Dynamics (TFD) formalism.
| 7.180053
| 6.177881
| 6.318573
| 6.118464
| 6.469944
| 7.582164
| 6.422986
| 6.169124
| 5.826241
| 6.812389
| 6.462885
| 6.523998
| 6.381225
| 6.414099
| 6.530191
| 6.126647
| 6.36336
| 6.393979
| 6.11095
| 6.271192
| 6.378742
|
hep-th/9211007
|
Samir Mathur
|
Brian R. Greene, Samir D. Mathur and Christopher M. O'Neill
|
Eluding the no-hair conjecture: Black holes in spontaneously broken
gauge theories
|
35 pages, phyzzx, (CLNS-92/1162, CTP-2160)
|
Phys.Rev. D47 (1993) 2242-2259
|
10.1103/PhysRevD.47.2242
| null |
hep-th
| null |
We study regular and black hole solutions to the coupled classical
Einstein--Yang-Mills--Higgs system. It has long been thought that black hole
solutions in the spontaneously broken phase of such a theory could have no
nontrivial field structure outside of the horizon. We first show that the
standard black hole no-hair theorem underlying this belief, although true in
the abelian setting, does not necessarily extend to the non-abelian case. This
indicates the possibility of solutions with non-trivial gauge and Higgs
configurations decaying exponentially {\it outside} the horizon. We then find
such solutions by numerical integration of the classical equations for the case
of $SU(2)$ coupled to a Higgs doublet (the standard model less hypercharge).
As a prelude to this work we also study regular and black hole solutions to
Einstein--Non-Abelian--Proca theory and as a postscript we briefly discuss the
important issue of stability.
|
[
{
"created": "Mon, 2 Nov 1992 16:01:19 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Nov 1992 01:45:35 GMT",
"version": "v2"
}
] |
2009-10-22
|
[
[
"Greene",
"Brian R.",
""
],
[
"Mathur",
"Samir D.",
""
],
[
"O'Neill",
"Christopher M.",
""
]
] |
We study regular and black hole solutions to the coupled classical Einstein--Yang-Mills--Higgs system. It has long been thought that black hole solutions in the spontaneously broken phase of such a theory could have no nontrivial field structure outside of the horizon. We first show that the standard black hole no-hair theorem underlying this belief, although true in the abelian setting, does not necessarily extend to the non-abelian case. This indicates the possibility of solutions with non-trivial gauge and Higgs configurations decaying exponentially {\it outside} the horizon. We then find such solutions by numerical integration of the classical equations for the case of $SU(2)$ coupled to a Higgs doublet (the standard model less hypercharge). As a prelude to this work we also study regular and black hole solutions to Einstein--Non-Abelian--Proca theory and as a postscript we briefly discuss the important issue of stability.
| 8.405126
| 8.783357
| 7.795039
| 7.934209
| 8.213968
| 8.45318
| 9.142857
| 8.195422
| 8.33598
| 9.21572
| 8.925873
| 8.626859
| 8.137684
| 8.085487
| 8.220159
| 8.368641
| 8.30218
| 8.241633
| 8.101785
| 8.237287
| 8.086858
|
hep-th/0511238
|
Artyom Yurov
|
A.V. Yurov, V.A. Yurov
|
One more observational consequence of many-worlds quantum theory
|
4 pages, RevTeX, 1 table
| null | null | null |
hep-th
| null |
Using new cosmological doomsday argument Page predicts that the maximal
lifetime of de Sitter universe should be $t_{max}=10^{60}$ yr which is way too
small in comparison with strings predictions ($t_f>$googleplex). However, since
this prediction is dependant on the total number of human observations, we show
that Page arguments results instead in astounding conclusion that this number
is the quantum variable and is therefore much greater then Page's estimation.
Identifying it with the number of coarse-grained histories in de Sitter
universe we get the lifetime of the universe comparable with strings
predictions. Moreover, it seems that this result can be considered as another
one of the observational evidences of validity of the many-worlds quantum
theory. Finally, we show that for the universe filled with phantom energy
$t_{max}\sim t_f$ up to very high precision.
|
[
{
"created": "Wed, 23 Nov 2005 22:32:21 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Yurov",
"A. V.",
""
],
[
"Yurov",
"V. A.",
""
]
] |
Using new cosmological doomsday argument Page predicts that the maximal lifetime of de Sitter universe should be $t_{max}=10^{60}$ yr which is way too small in comparison with strings predictions ($t_f>$googleplex). However, since this prediction is dependant on the total number of human observations, we show that Page arguments results instead in astounding conclusion that this number is the quantum variable and is therefore much greater then Page's estimation. Identifying it with the number of coarse-grained histories in de Sitter universe we get the lifetime of the universe comparable with strings predictions. Moreover, it seems that this result can be considered as another one of the observational evidences of validity of the many-worlds quantum theory. Finally, we show that for the universe filled with phantom energy $t_{max}\sim t_f$ up to very high precision.
| 19.046053
| 20.776539
| 17.364971
| 17.95085
| 19.619719
| 20.129738
| 20.749975
| 20.506355
| 18.417465
| 20.055731
| 19.178268
| 18.153538
| 17.57933
| 17.854259
| 19.041735
| 19.045938
| 18.563091
| 17.717342
| 17.460049
| 17.76469
| 16.999434
|
1502.03108
|
Blagoje Oblak
|
Blagoje Oblak
|
Characters of the BMS Group in Three Dimensions
|
22 pages. v2: Updated references [5], [7] and [45]. Published in
Communications in Mathematical Physics. The final publication is available at
Springer via http://dx.doi.org/10.1007/s00220-015-2408-7
|
Communications in Mathematical Physics (2015), pages 1-20
|
10.1007/s00220-015-2408-7
| null |
hep-th math.RT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using the Frobenius formula, we evaluate characters associated with certain
induced representations of the centrally extended BMS$_3$ group. This
computation involves a functional integral over a coadjoint orbit of the
Virasoro group; a delta function localizes the integral to a single point,
allowing us to obtain an exact result. The latter is independent of the
specific form of the functional measure, and holds for all values of the
BMS$_3$ central charges and all values of the chosen mass and spin. It can also
be recovered as a flat limit of Virasoro characters.
|
[
{
"created": "Tue, 10 Feb 2015 21:00:21 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Jun 2015 08:39:57 GMT",
"version": "v2"
}
] |
2015-06-11
|
[
[
"Oblak",
"Blagoje",
""
]
] |
Using the Frobenius formula, we evaluate characters associated with certain induced representations of the centrally extended BMS$_3$ group. This computation involves a functional integral over a coadjoint orbit of the Virasoro group; a delta function localizes the integral to a single point, allowing us to obtain an exact result. The latter is independent of the specific form of the functional measure, and holds for all values of the BMS$_3$ central charges and all values of the chosen mass and spin. It can also be recovered as a flat limit of Virasoro characters.
| 9.926688
| 8.750976
| 10.070692
| 8.342946
| 8.637219
| 8.551617
| 8.634488
| 8.280354
| 8.6287
| 11.292503
| 8.483644
| 8.620878
| 9.662149
| 8.788939
| 8.300584
| 8.925697
| 8.530422
| 8.429114
| 8.59119
| 9.230608
| 8.583721
|
hep-th/9406156
|
Andrei Johansen
|
Andrei Johansen
|
Realization of $W_{1+\infty}$ and Virasoro Algebras in Supersymmetric
Theories on Four Manifolds
|
Latex, 13 pages, NBI-HE-94-35. Minor stylistic changes
|
Mod.Phys.Lett. A9 (1994) 2611-2622
|
10.1142/S0217732394002458
| null |
hep-th
| null |
We demonstrate that a supersymmetric theory twisted on a K\"ahler four
manifold $M=\Sigma_1 \times \Sigma_2 ,$ where $\Sigma_{1,2}$ are 2D Riemann
surfaces, possesses a "left-moving" conformal stress tensor on $\Sigma_1$
($\Sigma_2$) in the BRST cohomology. The central charge of the Virasoro algebra
has a purely geometric origin and is proportional to the Euler characteristic
of the $\Sigma_2$ ($\Sigma_1$) surface. This structure is shown to be invariant
under renormalization group. We also give a representation of the algebra
$W_{1+\infty}$ in terms of a free chiral supermultiplet.
|
[
{
"created": "Thu, 23 Jun 1994 14:35:05 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Jul 1994 17:40:25 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Johansen",
"Andrei",
""
]
] |
We demonstrate that a supersymmetric theory twisted on a K\"ahler four manifold $M=\Sigma_1 \times \Sigma_2 ,$ where $\Sigma_{1,2}$ are 2D Riemann surfaces, possesses a "left-moving" conformal stress tensor on $\Sigma_1$ ($\Sigma_2$) in the BRST cohomology. The central charge of the Virasoro algebra has a purely geometric origin and is proportional to the Euler characteristic of the $\Sigma_2$ ($\Sigma_1$) surface. This structure is shown to be invariant under renormalization group. We also give a representation of the algebra $W_{1+\infty}$ in terms of a free chiral supermultiplet.
| 5.990902
| 5.750526
| 6.646858
| 5.38516
| 5.548526
| 5.76828
| 5.94911
| 5.662242
| 5.611036
| 6.816662
| 5.425602
| 5.563307
| 6.085629
| 5.644711
| 5.630139
| 5.54959
| 5.445304
| 5.534747
| 5.526898
| 5.953623
| 5.564051
|
hep-th/0607107
|
Jose Francisco Gomes
|
J.F. Gomes, L.H. Ymai and A.H. Zimerman
|
Soliton Solutions for the Super mKdV and sinh-Gordon Hierarchy
|
To appear in Phys. Lett. A
|
Phys.Lett.A359:630-637,2006
|
10.1016/j.physleta.2006.07.018
| null |
hep-th
| null |
The dressing and vertex operator formalism is emploied to study the soliton
solutions of the N=1 super mKdV and sinh-Gordon models. Explicit two and four
vertex solutions are constructed. The relation between the soliton solutions of
both models is verified.
|
[
{
"created": "Mon, 17 Jul 2006 13:33:49 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Gomes",
"J. F.",
""
],
[
"Ymai",
"L. H.",
""
],
[
"Zimerman",
"A. H.",
""
]
] |
The dressing and vertex operator formalism is emploied to study the soliton solutions of the N=1 super mKdV and sinh-Gordon models. Explicit two and four vertex solutions are constructed. The relation between the soliton solutions of both models is verified.
| 15.34579
| 11.268792
| 15.342699
| 11.443074
| 12.27902
| 11.810655
| 10.649037
| 11.906902
| 10.747097
| 17.903208
| 12.309199
| 13.193484
| 15.147745
| 12.822395
| 12.967362
| 12.785326
| 12.692576
| 12.728585
| 11.95869
| 14.210779
| 13.073136
|
2306.07327
|
Flavio Tonioni
|
Gary Shiu, Flavio Tonioni, Hung V. Tran
|
Late-time attractors and cosmic acceleration
|
26 pages (13 figures) + appendices; v2: minor improvements
| null | null | null |
hep-th astro-ph.CO gr-qc math.DS
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We prove the conditions under which scaling cosmologies are inevitable
late-time attractors of multi-field multi-exponential potentials, independently
of initial conditions. The advantage of such scaling cosmologies is that the
time dependence of the fields and of the scale factor is known analytically,
thus allowing late-time observables to be determined exactly. Expanding the
earlier results of ref. arXiv:hep-th/2303.03418, here we continue the program
of analytically characterizing the late-time behavior of cosmological
solutions. Our results are general in that they are derived without relying on
any approximation nor are they based on any assumption on the sources of the
potential, such as their higher-dimensional or string-theoretic origin. We
point out a number of model-independent features that follow from our analytic
results, including a convex-hull criterion for cosmic acceleration. When
applied to string theory, our analytic knowledge of late-time cosmological
solutions enables us to single out potentials that can describe an accelerating
universe from those which cannot and to quantitatively test several conjectured
Swampland criteria.
|
[
{
"created": "Mon, 12 Jun 2023 18:00:02 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Sep 2023 15:50:02 GMT",
"version": "v2"
}
] |
2023-09-25
|
[
[
"Shiu",
"Gary",
""
],
[
"Tonioni",
"Flavio",
""
],
[
"Tran",
"Hung V.",
""
]
] |
We prove the conditions under which scaling cosmologies are inevitable late-time attractors of multi-field multi-exponential potentials, independently of initial conditions. The advantage of such scaling cosmologies is that the time dependence of the fields and of the scale factor is known analytically, thus allowing late-time observables to be determined exactly. Expanding the earlier results of ref. arXiv:hep-th/2303.03418, here we continue the program of analytically characterizing the late-time behavior of cosmological solutions. Our results are general in that they are derived without relying on any approximation nor are they based on any assumption on the sources of the potential, such as their higher-dimensional or string-theoretic origin. We point out a number of model-independent features that follow from our analytic results, including a convex-hull criterion for cosmic acceleration. When applied to string theory, our analytic knowledge of late-time cosmological solutions enables us to single out potentials that can describe an accelerating universe from those which cannot and to quantitatively test several conjectured Swampland criteria.
| 11.180484
| 11.388574
| 10.607174
| 9.595602
| 11.238325
| 11.053224
| 11.572343
| 10.346173
| 10.056325
| 11.135791
| 10.349046
| 10.495128
| 10.731333
| 10.262635
| 10.508303
| 10.468209
| 10.344928
| 10.345076
| 10.424526
| 10.519829
| 10.447571
|
0904.4112
|
Jianxin Lu
|
J. X. Lu and Shan-Shan Xu
|
The open string pair-production rate enhancement by a magnetic flux
|
33 pages, no figures, a few points refined to the published version
JHEP09(2009)093
|
JHEP 0909:093,2009
|
10.1088/1126-6708/2009/09/093
|
USTC-ICTS-09-05
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We extend the amplitude calculations of \cite{Lu:2009yx} to exhaust the
remaining cases for which one set of D$_p$ branes carrying a flux (electric or
magnetic) is placed parallel at separation to the other set carrying also a
flux but with the two fluxes sharing at most one common field-strength index.
We then find that the basic structure of amplitudes remains the same when the
two fluxes share at least one common index but it is more general when the two
fluxes share no common index. We discuss various properties of the amplitudes
such as the large separation limit, the onset of various instabilities and the
open string pair production. In particular, when one flux is electric and weak
and the other is magnetic and fixed, we find that the open string pair
production rate is greatly enhanced by the presence of this magnetic flux when
the two fluxes share no common field-strength index and this rate becomes
significant when the separation is on the order of string scale.
|
[
{
"created": "Mon, 27 Apr 2009 08:36:33 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Jun 2009 07:34:52 GMT",
"version": "v2"
},
{
"created": "Mon, 24 Aug 2009 22:15:47 GMT",
"version": "v3"
},
{
"created": "Mon, 28 Sep 2009 15:24:38 GMT",
"version": "v4"
}
] |
2009-10-02
|
[
[
"Lu",
"J. X.",
""
],
[
"Xu",
"Shan-Shan",
""
]
] |
We extend the amplitude calculations of \cite{Lu:2009yx} to exhaust the remaining cases for which one set of D$_p$ branes carrying a flux (electric or magnetic) is placed parallel at separation to the other set carrying also a flux but with the two fluxes sharing at most one common field-strength index. We then find that the basic structure of amplitudes remains the same when the two fluxes share at least one common index but it is more general when the two fluxes share no common index. We discuss various properties of the amplitudes such as the large separation limit, the onset of various instabilities and the open string pair production. In particular, when one flux is electric and weak and the other is magnetic and fixed, we find that the open string pair production rate is greatly enhanced by the presence of this magnetic flux when the two fluxes share no common field-strength index and this rate becomes significant when the separation is on the order of string scale.
| 9.944469
| 8.323565
| 11.302663
| 9.05784
| 9.156222
| 9.249794
| 8.64585
| 8.985571
| 9.173143
| 12.468061
| 8.654727
| 9.581067
| 10.249819
| 9.635784
| 9.476046
| 9.426864
| 9.608662
| 9.472168
| 9.587742
| 10.188844
| 9.669316
|
hep-th/0210101
|
Hang Bae Kim
|
Chanju Kim (Ewha W.U.), Hang Bae Kim (Lausanne U.), Yoonbai Kim
(Sungkyunkwan U.)
|
Rolling Tachyons in String Cosmology
|
More references added. A version to be published in Phys.Lett.B
|
Phys.Lett. B552 (2003) 111-118
|
10.1016/S0370-2693(02)03126-X
| null |
hep-th astro-ph hep-ph
| null |
We study the role of rolling tachyons in the cosmological model with
dilatonic gravity. In the string frame, flat space solutions of both
initial-stage and late-time are obtained in closed form. In the Einstein frame,
we show that every expanding solution is decelerating.
|
[
{
"created": "Thu, 10 Oct 2002 16:54:22 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Oct 2002 08:12:20 GMT",
"version": "v2"
},
{
"created": "Mon, 25 Nov 2002 13:28:37 GMT",
"version": "v3"
}
] |
2010-04-05
|
[
[
"Kim",
"Chanju",
"",
"Ewha W.U."
],
[
"Kim",
"Hang Bae",
"",
"Lausanne U."
],
[
"Kim",
"Yoonbai",
"",
"Sungkyunkwan U."
]
] |
We study the role of rolling tachyons in the cosmological model with dilatonic gravity. In the string frame, flat space solutions of both initial-stage and late-time are obtained in closed form. In the Einstein frame, we show that every expanding solution is decelerating.
| 18.777617
| 11.359877
| 13.184391
| 12.584984
| 13.738778
| 13.648724
| 13.686272
| 13.055625
| 12.684421
| 13.681432
| 12.056355
| 14.67013
| 13.565065
| 13.718966
| 14.477839
| 14.697755
| 15.105917
| 13.686709
| 13.928235
| 14.677082
| 14.320717
|
1001.5324
|
Wu JianPin
|
Yi Ling and Jian-Pin Wu
|
A note on entropic force and brane cosmology
|
5 pages, no figures;references added
|
JCAP 1008:017,2010
|
10.1088/1475-7516/2010/08/017
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently Verlinde proposed that gravity is an entropic force caused by
information changes when a material body moves away from the holographic
screen. In this note we apply this argument to brane cosmology, and show that
the cosmological equation can be derived from this holographic scenario.
|
[
{
"created": "Fri, 29 Jan 2010 05:05:42 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Feb 2010 07:04:40 GMT",
"version": "v2"
}
] |
2010-09-15
|
[
[
"Ling",
"Yi",
""
],
[
"Wu",
"Jian-Pin",
""
]
] |
Recently Verlinde proposed that gravity is an entropic force caused by information changes when a material body moves away from the holographic screen. In this note we apply this argument to brane cosmology, and show that the cosmological equation can be derived from this holographic scenario.
| 7.132555
| 6.336857
| 6.833858
| 5.53296
| 6.654403
| 6.407762
| 6.589985
| 6.246883
| 5.860063
| 7.555389
| 5.279815
| 5.93362
| 6.369802
| 5.825993
| 6.063436
| 6.136827
| 5.810424
| 5.955046
| 6.214532
| 6.01659
| 6.062576
|
hep-th/9610159
|
Massimo Porrati
|
A. Giveon, M. Porrati
|
Aspects of Dualities
|
Contribution to the proceedings of ICHEP '96, Warsaw, July 25-31,
1996; presented by A. Giveon
| null | null |
RI-8-96, NYU-TH-96/10/01
|
hep-th
| null |
In this talk, some aspects of duality symmetries are presented.
|
[
{
"created": "Mon, 21 Oct 1996 18:30:14 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Giveon",
"A.",
""
],
[
"Porrati",
"M.",
""
]
] |
In this talk, some aspects of duality symmetries are presented.
| 18.427214
| 5.870165
| 7.376078
| 6.681394
| 6.499371
| 6.536494
| 6.26255
| 6.029712
| 6.636905
| 7.284974
| 6.487107
| 7.022811
| 8.340469
| 6.97362
| 7.203664
| 7.30401
| 7.191913
| 7.199959
| 7.295143
| 8.4334
| 7.301199
|
2106.01791
|
Kirill Bazarov
|
E. T. Akhmedov, K. V. Bazarov, D. V. Diakonov
|
Quantum fields in the future Rindler wedge
|
18 pages, 2 figures. Language is improved, more arguments are given
and clarified, substantial changes
|
Phys. Rev. D 104, 085008 (2021)
|
10.1103/PhysRevD.104.085008
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider interacting massive scalar quantum field theory in the future
Rindler wedge. This is a model example of quantum field theory in curved
space--time. On this simple example we show how dynamics of correlation
functions depends on the choice of initial Cauchy surface, basis of modes and
on the choice of initial state build with the use of the corresponding creation
and annihilation operators. We show which choice of modes in the future Rindler
wedge respects Poincare symmetry. But we do not restrict our attention only to
these modes and the corresponding state.
|
[
{
"created": "Thu, 3 Jun 2021 12:24:06 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Sep 2021 09:41:20 GMT",
"version": "v2"
}
] |
2021-10-13
|
[
[
"Akhmedov",
"E. T.",
""
],
[
"Bazarov",
"K. V.",
""
],
[
"Diakonov",
"D. V.",
""
]
] |
We consider interacting massive scalar quantum field theory in the future Rindler wedge. This is a model example of quantum field theory in curved space--time. On this simple example we show how dynamics of correlation functions depends on the choice of initial Cauchy surface, basis of modes and on the choice of initial state build with the use of the corresponding creation and annihilation operators. We show which choice of modes in the future Rindler wedge respects Poincare symmetry. But we do not restrict our attention only to these modes and the corresponding state.
| 12.271868
| 11.468202
| 11.838979
| 10.963024
| 11.068393
| 11.092893
| 11.023659
| 10.451968
| 10.21325
| 12.131562
| 11.061585
| 11.145807
| 11.29317
| 11.288479
| 11.0407
| 11.350018
| 11.51181
| 10.850123
| 10.897416
| 11.390876
| 10.974573
|
hep-th/9209096
| null |
M. Nolasco, C.Reina
|
Topological Observables in Semiclassical Field Theories
|
11 pages
|
Phys.Lett.B297:82-88,1992
|
10.1016/0370-2693(92)91073-I
| null |
hep-th
| null |
We give a geometrical set up for the semiclassical approximation to euclidean
field theories having families of minima (instantons) parametrized by suitable
moduli spaces ${\cal M}$. The standard examples are of course Yang-Mills theory
and non-linear $\sigma$-models. The relevant space here is a family of measure
spaces $\tilde {\cal N} \ra {\cal M}$, with standard fibre a distribution
space, given by a suitable extension of the normal bundle to ${\cal M}$ in the
space of smooth fields. Over $\tilde {\cal N}$ there is a probability measure
$d\mu$ given by the twisted product of the (normalized) volume element on
${\cal M}$ and the family of gaussian measures with covariance given by the
tree propagator $C_\phi$ in the background of an instanton $\phi \in {\cal M}$.
The space of ``observables", i.e. measurable functions on ($\tilde {\cal N}, \,
d\mu$), is studied and it is shown to contain a topological sector,
corresponding to the intersection theory on ${\cal M}$. The expectation value
of these topological ``observables" does not depend on the covariance; it is
therefore exact at all orders in perturbation theory and can moreover be
computed in the topological regime by setting the covariance to zero.
|
[
{
"created": "Thu, 24 Sep 1992 14:33:08 GMT",
"version": "v1"
}
] |
2010-11-01
|
[
[
"Nolasco",
"M.",
""
],
[
"Reina",
"C.",
""
]
] |
We give a geometrical set up for the semiclassical approximation to euclidean field theories having families of minima (instantons) parametrized by suitable moduli spaces ${\cal M}$. The standard examples are of course Yang-Mills theory and non-linear $\sigma$-models. The relevant space here is a family of measure spaces $\tilde {\cal N} \ra {\cal M}$, with standard fibre a distribution space, given by a suitable extension of the normal bundle to ${\cal M}$ in the space of smooth fields. Over $\tilde {\cal N}$ there is a probability measure $d\mu$ given by the twisted product of the (normalized) volume element on ${\cal M}$ and the family of gaussian measures with covariance given by the tree propagator $C_\phi$ in the background of an instanton $\phi \in {\cal M}$. The space of ``observables", i.e. measurable functions on ($\tilde {\cal N}, \, d\mu$), is studied and it is shown to contain a topological sector, corresponding to the intersection theory on ${\cal M}$. The expectation value of these topological ``observables" does not depend on the covariance; it is therefore exact at all orders in perturbation theory and can moreover be computed in the topological regime by setting the covariance to zero.
| 6.665587
| 7.205472
| 7.015517
| 6.590811
| 6.795198
| 7.057496
| 7.263794
| 7.09219
| 6.804143
| 7.19608
| 6.638
| 6.501803
| 6.660471
| 6.532377
| 6.305393
| 6.269927
| 6.555759
| 6.560817
| 6.619842
| 6.621569
| 6.767437
|
hep-th/0701145
|
Changhyun Ahn
|
Changhyun Ahn
|
Meta-Stable Brane Configuration with Orientifold 6 Plane
|
21 pp, 3 colored figures; stability arguments added in page 11 and
12, a typo in figure 3 corrected, and to appear in JHEP
|
JHEP 0705:053,2007
|
10.1088/1126-6708/2007/05/053
| null |
hep-th
| null |
We present the intersecting brane configuration of type IIA string theory
corresponding to the meta-stable nonsupersymmetric vacua in four dimensional
N=1 supersymmetric SU(N_c) gauge theory with a symmetric flavor, a conjugate
symmetric flavor and fundamental flavors. By studying the previously known
supersymmetric M5-brane curve, the M-theory lift for this type IIA brane
configuration, which consists of NS5-branes, D4-branes, D6-branes and an
orientifold 6-plane, is analyzed.
|
[
{
"created": "Tue, 16 Jan 2007 07:11:30 GMT",
"version": "v1"
},
{
"created": "Mon, 14 May 2007 04:48:25 GMT",
"version": "v2"
}
] |
2010-10-27
|
[
[
"Ahn",
"Changhyun",
""
]
] |
We present the intersecting brane configuration of type IIA string theory corresponding to the meta-stable nonsupersymmetric vacua in four dimensional N=1 supersymmetric SU(N_c) gauge theory with a symmetric flavor, a conjugate symmetric flavor and fundamental flavors. By studying the previously known supersymmetric M5-brane curve, the M-theory lift for this type IIA brane configuration, which consists of NS5-branes, D4-branes, D6-branes and an orientifold 6-plane, is analyzed.
| 7.019738
| 4.452072
| 7.473109
| 4.870704
| 5.134336
| 5.019743
| 4.787019
| 4.72965
| 4.884362
| 8.129018
| 5.008512
| 5.875726
| 6.978805
| 6.1488
| 6.273439
| 5.987451
| 6.142293
| 6.057574
| 5.904567
| 6.95822
| 6.179522
|
hep-th/0207242
|
Sedra
|
A. Boulahoual and M.B. Sedra
|
The Moyal Momentum Algebra
|
6 pages, Latex file
|
Afr. J. Math. Phys. V2, N1 (2005)111-113
| null | null |
hep-th
| null |
We introduce in this short note some aspects of the Moyal momentum algebra
that we call the Das-Popowicz Mm algebra. Our interest on this algebra is
motivated by the central role that it can play in the formulation of integrable
models and in higher conformal spin theories.
|
[
{
"created": "Fri, 26 Jul 2002 19:16:52 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Aug 2002 15:46:15 GMT",
"version": "v2"
},
{
"created": "Mon, 13 Mar 2006 00:34:10 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Boulahoual",
"A.",
""
],
[
"Sedra",
"M. B.",
""
]
] |
We introduce in this short note some aspects of the Moyal momentum algebra that we call the Das-Popowicz Mm algebra. Our interest on this algebra is motivated by the central role that it can play in the formulation of integrable models and in higher conformal spin theories.
| 18.652111
| 18.717209
| 22.541737
| 18.857094
| 17.13817
| 17.844141
| 18.907316
| 18.913187
| 17.479923
| 27.319317
| 17.30867
| 17.792381
| 21.893848
| 18.150452
| 18.257532
| 18.148197
| 18.717167
| 17.267168
| 18.73773
| 20.184322
| 17.635065
|
hep-th/9608023
|
Peter Hodges
|
P.J. Hodges and Noureddine Mohammedi
|
Anti-field Formalism and Non-Abelian Duality
|
13 pages, LaTeX2e
|
Phys.Lett. B388 (1996) 761-768
|
10.1016/S0370-2693(96)01210-5
|
SHEP 96/18
|
hep-th
| null |
The act of implementing non-Abelian duality in two dimensional sigma models
results unavoidably in an additional reducible symmetry. The Batalin-Vilkovisky
formalism is employed to handle this new symmetry. Valuable lessons are learnt
here with respect to non-Abelian duality. We emphasise, in particular, the
effects of the ghost sector corresponding to this symmetry on non-Abelian
duality.
|
[
{
"created": "Mon, 5 Aug 1996 15:02:13 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Hodges",
"P. J.",
""
],
[
"Mohammedi",
"Noureddine",
""
]
] |
The act of implementing non-Abelian duality in two dimensional sigma models results unavoidably in an additional reducible symmetry. The Batalin-Vilkovisky formalism is employed to handle this new symmetry. Valuable lessons are learnt here with respect to non-Abelian duality. We emphasise, in particular, the effects of the ghost sector corresponding to this symmetry on non-Abelian duality.
| 12.431045
| 10.257104
| 12.392658
| 10.045827
| 10.571331
| 11.309834
| 10.240373
| 11.383888
| 9.986576
| 13.099601
| 11.42053
| 11.309013
| 11.484709
| 11.053061
| 11.28172
| 11.290206
| 11.03875
| 11.1648
| 11.120132
| 11.658731
| 12.056306
|
2001.11784
|
Eugeny Babichev
|
Eugeny Babichev
|
Emergence of ghosts in Horndeski theory
|
14 pages, 4 figures; v2: clarifications added, matches published
version
|
JHEP07(2020)038
|
10.1007/JHEP07(2020)038
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that starting from initial conditions with stable perturbations,
evolution of a galileon scalar field results in the appearance of a ghost later
on. To demonstrate this, we consider a theory with k-essence and cubic galileon
Lagrangians on a fixed Minkowski background. Explicit analytical solutions of
simple waves are constructed, on top of which a healthy scalar degree of
freedom is shown to be converted onto a ghost. Such a transformation is smooth
and moreover perturbations remain hyperbolic all the time (until a caustic
forms). We discuss a relation between the ghost and the appearance of closed
causal curves for such solutions.
|
[
{
"created": "Fri, 31 Jan 2020 12:04:10 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Jul 2020 19:25:52 GMT",
"version": "v2"
}
] |
2020-08-26
|
[
[
"Babichev",
"Eugeny",
""
]
] |
We show that starting from initial conditions with stable perturbations, evolution of a galileon scalar field results in the appearance of a ghost later on. To demonstrate this, we consider a theory with k-essence and cubic galileon Lagrangians on a fixed Minkowski background. Explicit analytical solutions of simple waves are constructed, on top of which a healthy scalar degree of freedom is shown to be converted onto a ghost. Such a transformation is smooth and moreover perturbations remain hyperbolic all the time (until a caustic forms). We discuss a relation between the ghost and the appearance of closed causal curves for such solutions.
| 14.170926
| 14.730153
| 13.637977
| 13.18926
| 13.655481
| 13.66433
| 13.858118
| 13.372827
| 12.736317
| 15.181383
| 12.990989
| 12.440662
| 13.915019
| 13.066686
| 13.067179
| 13.798586
| 12.936749
| 13.11855
| 13.305979
| 13.821051
| 12.92576
|
hep-th/0607022
|
Steven Gubser
|
Joshua J. Friess, Steven S. Gubser, Georgios Michalogiorgakis, and
Silviu S. Pufu
|
The stress tensor of a quark moving through N=4 thermal plasma
|
33 pages, 5 figures. v2: improved low K discussion; other minor
improvements
|
Phys.Rev.D75:106003,2007
|
10.1103/PhysRevD.75.106003
|
PUPT-2201
|
hep-th hep-ph
| null |
We develop the linear equations that describe graviton perturbations of
AdS_5-Schwarzschild generated by a string trailing behind an external quark
moving with constant velocity. Solving these equations allows us to evaluate
the stress tensor in the boundary gauge theory. Components of the stress tensor
exhibit directional structures in Fourier space at both large and small
momentum. We comment on the possible relevance of our results to relativistic
heavy ion collisions.
|
[
{
"created": "Tue, 4 Jul 2006 19:54:25 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Jul 2006 19:25:14 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Friess",
"Joshua J.",
""
],
[
"Gubser",
"Steven S.",
""
],
[
"Michalogiorgakis",
"Georgios",
""
],
[
"Pufu",
"Silviu S.",
""
]
] |
We develop the linear equations that describe graviton perturbations of AdS_5-Schwarzschild generated by a string trailing behind an external quark moving with constant velocity. Solving these equations allows us to evaluate the stress tensor in the boundary gauge theory. Components of the stress tensor exhibit directional structures in Fourier space at both large and small momentum. We comment on the possible relevance of our results to relativistic heavy ion collisions.
| 12.362459
| 9.920896
| 11.937886
| 10.713514
| 10.569588
| 8.990355
| 10.292445
| 8.770362
| 10.348701
| 14.213964
| 10.121829
| 11.230079
| 11.605532
| 10.948034
| 11.293555
| 10.852662
| 11.473728
| 11.148641
| 11.177001
| 11.830339
| 11.175791
|
hep-th/0103223
|
John McGreevy
|
Shamit Kachru and John McGreevy
|
M-theory on Manifolds of G_2 Holonomy and Type IIA Orientifolds
|
14 pages, minor correction and references added
|
JHEP 0106:027,2001
|
10.1088/1126-6708/2001/06/027
|
SU-ITP-01/14, SLAC-PUB-8799
|
hep-th
| null |
We demonstrate that M-theory compactifications on 7-manifolds of G_2
holonomy, which yield 4d N=1 supersymmetric systems, often admit at special
loci in their moduli space a description as type IIA orientifolds. In this way,
we are able to find new dualities of special IIA orientifolds, including
dualities which relate orientifolds of IIA strings on manifolds of different
topology with different numbers of wrapped D-branes. We also discuss models
which incorporate, in a natural way, compact embeddings of gauge theory/gravity
dualities similar to those studied in the recent work of Atiyah, Maldacena and
Vafa.
|
[
{
"created": "Mon, 26 Mar 2001 23:52:59 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Mar 2001 17:53:49 GMT",
"version": "v2"
}
] |
2010-05-28
|
[
[
"Kachru",
"Shamit",
""
],
[
"McGreevy",
"John",
""
]
] |
We demonstrate that M-theory compactifications on 7-manifolds of G_2 holonomy, which yield 4d N=1 supersymmetric systems, often admit at special loci in their moduli space a description as type IIA orientifolds. In this way, we are able to find new dualities of special IIA orientifolds, including dualities which relate orientifolds of IIA strings on manifolds of different topology with different numbers of wrapped D-branes. We also discuss models which incorporate, in a natural way, compact embeddings of gauge theory/gravity dualities similar to those studied in the recent work of Atiyah, Maldacena and Vafa.
| 8.045817
| 7.445618
| 8.535869
| 7.144969
| 7.452277
| 8.223799
| 7.620786
| 7.450562
| 7.582144
| 9.961506
| 7.127041
| 7.254573
| 7.897302
| 7.238921
| 7.344853
| 7.487108
| 7.26693
| 7.307917
| 7.459285
| 8.336748
| 7.103294
|
1206.6758
|
Gurdeep Sehmbi
|
Gurdeep S. Sehmbi
|
Branes and Geometry in String and M-Theory
|
PhD Thesis, 143 pages
| null | null |
DCPT-12/27
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This thesis is based on two papers by the author and consists of two parts.
We review the recent developments in the theory of multiple M2-branes and
3-algebras leading to multiple D2-brane theories. The inclusion of flux terms
for the supersymmetric BLG and ABJM theories of closed M2-branes is discussed
and then generalised to open M2-branes. Here the boundary condition is derived
and different BPS configurations are examined where we find a mass deformed
Basu-Harvey equation for the M2-M5 system. The Lorentzian 3-algebra is then
employed for obtaining a theory of D2-branes in a flux background, we then
obtain the new fuzzy funnel solution of the system of D2-D4 branes in a flux.
Matrix theories and their compactifications as well as noncommutative geometry
and noncommutative gauge theories are reviewed with a discussion of their
generalisations to three dimensions to be used to describe the M-theory three
form potential $C_3$. A new feature of string theory is then obtained called
the quantum Nambu geometry (QNG). It is found by considering the action for
D1-strings in a RR flux background and we demonstrate that there is a large
flux double scaling limit where the action is dominated by a Chern-Simons-Myers
coupling term. A classical solution to this is the quantised spacetime known as
the quantum Nambu geometry. Various matrix models are obtained from this
action, these are the large flux dominated terms of the full actions for the
corresponding matrix models. The QNG gives rise to an expansion of D1-strings
to D4-branes in the IIA theory, so we obtain an action for the large flux terms
for this action which is verified by a dimensional reduction of the PST action
describing M5-branes. We make a generalisation of the D4-brane action to
describe M5-branes using a duality. We are describing the 3-form self-dual
field strength of a non-abelian generalisation of the PST action.
|
[
{
"created": "Thu, 28 Jun 2012 16:40:17 GMT",
"version": "v1"
}
] |
2012-06-29
|
[
[
"Sehmbi",
"Gurdeep S.",
""
]
] |
This thesis is based on two papers by the author and consists of two parts. We review the recent developments in the theory of multiple M2-branes and 3-algebras leading to multiple D2-brane theories. The inclusion of flux terms for the supersymmetric BLG and ABJM theories of closed M2-branes is discussed and then generalised to open M2-branes. Here the boundary condition is derived and different BPS configurations are examined where we find a mass deformed Basu-Harvey equation for the M2-M5 system. The Lorentzian 3-algebra is then employed for obtaining a theory of D2-branes in a flux background, we then obtain the new fuzzy funnel solution of the system of D2-D4 branes in a flux. Matrix theories and their compactifications as well as noncommutative geometry and noncommutative gauge theories are reviewed with a discussion of their generalisations to three dimensions to be used to describe the M-theory three form potential $C_3$. A new feature of string theory is then obtained called the quantum Nambu geometry (QNG). It is found by considering the action for D1-strings in a RR flux background and we demonstrate that there is a large flux double scaling limit where the action is dominated by a Chern-Simons-Myers coupling term. A classical solution to this is the quantised spacetime known as the quantum Nambu geometry. Various matrix models are obtained from this action, these are the large flux dominated terms of the full actions for the corresponding matrix models. The QNG gives rise to an expansion of D1-strings to D4-branes in the IIA theory, so we obtain an action for the large flux terms for this action which is verified by a dimensional reduction of the PST action describing M5-branes. We make a generalisation of the D4-brane action to describe M5-branes using a duality. We are describing the 3-form self-dual field strength of a non-abelian generalisation of the PST action.
| 10.898874
| 11.087951
| 11.840097
| 10.529562
| 12.030113
| 11.576443
| 11.115714
| 11.192708
| 10.67689
| 13.145966
| 11.059477
| 10.973843
| 11.22039
| 10.718694
| 11.06497
| 11.133502
| 10.901666
| 10.872443
| 10.982771
| 11.227774
| 11.017045
|
hep-th/0011145
|
Kai Chen
|
Kai Chen, Bo-yu Hou and Wen-Li Yang
|
The Lax pairs for elliptic C_n and BC_n Ruijsenaars-Schneider models and
their spectral curves
|
LaTeX2e, 25 pages, 1 table, some references added and rearranged
together with misprints corrected
|
J. Math. Phys. 42, 4894-4914 (2001)
|
10.1063/1.1389091
| null |
hep-th
| null |
We study the elliptic C_n and BC_n Ruijsenaars-Schneider models which is
elliptic generalization of system given in hep-th/0006004. The Lax pairs for
these models are constructed by Hamiltonian reduction technology. We show that
the spectral curves can be parameterized by the involutive integrals of motion
for these models. Taking nonrelativistic limit and scaling limit, we verify
that they lead to the systems corresponding to Calogero-Moser and Toda types.
|
[
{
"created": "Thu, 16 Nov 2000 11:27:46 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Nov 2000 04:01:46 GMT",
"version": "v2"
},
{
"created": "Sun, 21 Jan 2001 04:07:21 GMT",
"version": "v3"
}
] |
2012-10-30
|
[
[
"Chen",
"Kai",
""
],
[
"Hou",
"Bo-yu",
""
],
[
"Yang",
"Wen-Li",
""
]
] |
We study the elliptic C_n and BC_n Ruijsenaars-Schneider models which is elliptic generalization of system given in hep-th/0006004. The Lax pairs for these models are constructed by Hamiltonian reduction technology. We show that the spectral curves can be parameterized by the involutive integrals of motion for these models. Taking nonrelativistic limit and scaling limit, we verify that they lead to the systems corresponding to Calogero-Moser and Toda types.
| 11.052197
| 9.669216
| 13.400942
| 9.894304
| 10.902526
| 9.792158
| 10.404895
| 10.226806
| 9.525462
| 12.430659
| 10.131893
| 10.036078
| 12.294315
| 10.556733
| 9.867191
| 10.073794
| 10.166228
| 10.154666
| 10.405783
| 11.947881
| 10.276095
|
hep-th/9511055
| null |
V. G. Ksenzov
|
On the Calculation of the Vacuum Energy Density in Sigma Models
|
9 pages, latex
|
Phys.Lett. B367 (1996) 237-241
|
10.1016/0370-2693(95)01420-9
|
EV 95-01
|
hep-th hep-ph
| null |
The vacuum energy density is calculated for the $O(N)$ nonlinear sigma models
in two dimensions. To obtain $\varepsilon_{vac}$ we assume that each point of
the space in which non-perturbative f\/ields are determined can be replaced by
a sphere $S^2$ having a small radius $r$ which approaches zero at the very end
of the calculation. This assumption allows to get the classical f\/ields
generating v.e.v. of the trace of the energy-momentum tensor.
|
[
{
"created": "Wed, 8 Nov 1995 13:38:57 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Ksenzov",
"V. G.",
""
]
] |
The vacuum energy density is calculated for the $O(N)$ nonlinear sigma models in two dimensions. To obtain $\varepsilon_{vac}$ we assume that each point of the space in which non-perturbative f\/ields are determined can be replaced by a sphere $S^2$ having a small radius $r$ which approaches zero at the very end of the calculation. This assumption allows to get the classical f\/ields generating v.e.v. of the trace of the energy-momentum tensor.
| 10.465955
| 10.273114
| 9.842816
| 9.521341
| 11.361691
| 11.072571
| 10.504458
| 9.9581
| 9.47538
| 10.368714
| 8.850881
| 9.177173
| 9.776482
| 9.236805
| 9.477614
| 10.031995
| 9.535401
| 9.692688
| 9.133216
| 9.339767
| 9.985168
|
hep-th/9807022
|
Adi Armoni
|
A. Armoni, Y. Frishman and J. Sonnenschein
|
Screening in Supersymmetric Gauge Theories in Two Dimensions
|
8 pages, Latex. Minor changes. Accepted to Phys.Lett.B
|
Phys.Lett. B449 (1999) 76-80
|
10.1016/S0370-2693(99)00018-0
|
TAUP-2509-98, WIS-98/19/July-DPP
|
hep-th
| null |
We show that the string tension in N=1 two-dimensional super Yang-Mills
theory vanishes independently of the representation of the quark anti-quark
external source. We argue that this result persists in SQCD_2 and in
two-dimensional gauge theories with extended supersymmetry or in chiral
invariant models with at least one massless dynamical fermion. We also compute
the string tension for the massive Schwinger model, as a demonstration of the
method of the calculation.
|
[
{
"created": "Thu, 2 Jul 1998 17:31:46 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Jan 1999 14:55:16 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Armoni",
"A.",
""
],
[
"Frishman",
"Y.",
""
],
[
"Sonnenschein",
"J.",
""
]
] |
We show that the string tension in N=1 two-dimensional super Yang-Mills theory vanishes independently of the representation of the quark anti-quark external source. We argue that this result persists in SQCD_2 and in two-dimensional gauge theories with extended supersymmetry or in chiral invariant models with at least one massless dynamical fermion. We also compute the string tension for the massive Schwinger model, as a demonstration of the method of the calculation.
| 9.981906
| 9.348005
| 10.667025
| 9.659397
| 9.374247
| 10.534247
| 9.075004
| 9.457096
| 10.245365
| 10.879975
| 9.652813
| 9.36066
| 10.406008
| 9.979288
| 9.824719
| 9.78618
| 9.785731
| 9.500776
| 10.124248
| 10.833294
| 9.176803
|
1309.7273
|
Adriano Contillo
|
Adriano Contillo, Stefan Rechenberger, Frank Saueressig
|
Renormalization group flow of Ho\v{r}ava-Lifshitz gravity at low
energies
|
32 pages, 6 figures
| null |
10.1007/JHEP12(2013)017
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The functional renormalization group equation for projectable
Ho\v{r}ava-Lifshitz gravity is used to derive the non-perturbative beta
functions for the Newton's constant, cosmological constant and anisotropy
parameter. The resulting coupled differential equations are studied in detail
and exemplary RG trajectories are constructed numerically. The beta functions
possess a non-Gaussian fixed point and a one-parameter family of Gaussian fixed
points. One of the Gaussian fixed points corresponds to the Einstein-Hilbert
action with vanishing cosmological constant and constitutes a saddle point with
one IR-attractive direction. For RG trajectories dragged into this fixed point
at low energies diffeomorphism invariance is restored. The emergence of general
relativity from Ho\v{r}ava-Lifshitz gravity can thus be understood as a
crossover-phenomenon where the IR behavior of the theory is controlled by this
Gaussian fixed point. In particular RG trajectories with a tiny positive
cosmological constant also come with an anisotropy parameter which is
compatible with experimental constraints, providing a mechanism for the
approximate restoration of diffeomorphism invariance in the IR. The
non-Gaussian fixed point is UV-attractive in all three coupling constants. Most
likely, this fixed point is the imprint of Asymptotic Safety at the level of
Ho\v{r}ava-Lifshitz gravity.
|
[
{
"created": "Fri, 27 Sep 2013 15:24:20 GMT",
"version": "v1"
}
] |
2015-06-17
|
[
[
"Contillo",
"Adriano",
""
],
[
"Rechenberger",
"Stefan",
""
],
[
"Saueressig",
"Frank",
""
]
] |
The functional renormalization group equation for projectable Ho\v{r}ava-Lifshitz gravity is used to derive the non-perturbative beta functions for the Newton's constant, cosmological constant and anisotropy parameter. The resulting coupled differential equations are studied in detail and exemplary RG trajectories are constructed numerically. The beta functions possess a non-Gaussian fixed point and a one-parameter family of Gaussian fixed points. One of the Gaussian fixed points corresponds to the Einstein-Hilbert action with vanishing cosmological constant and constitutes a saddle point with one IR-attractive direction. For RG trajectories dragged into this fixed point at low energies diffeomorphism invariance is restored. The emergence of general relativity from Ho\v{r}ava-Lifshitz gravity can thus be understood as a crossover-phenomenon where the IR behavior of the theory is controlled by this Gaussian fixed point. In particular RG trajectories with a tiny positive cosmological constant also come with an anisotropy parameter which is compatible with experimental constraints, providing a mechanism for the approximate restoration of diffeomorphism invariance in the IR. The non-Gaussian fixed point is UV-attractive in all three coupling constants. Most likely, this fixed point is the imprint of Asymptotic Safety at the level of Ho\v{r}ava-Lifshitz gravity.
| 5.746613
| 5.643148
| 5.839108
| 5.236338
| 5.607419
| 5.462384
| 5.622298
| 5.616461
| 5.630216
| 6.234427
| 5.448833
| 5.732443
| 5.550781
| 5.41221
| 5.563531
| 5.486822
| 5.544189
| 5.425632
| 5.475121
| 5.766413
| 5.294753
|
hep-th/0507271
|
Shahn Majid
|
Shahn Majid
|
Noncommutative Model with Spontaneous Time Generation and Planckian
bound
|
Some corrections to quantum polar coordinates formulae in sec 6. 19
pages ams-latex and 2 .eps figures
|
J.Math.Phys. 46 (2005) 103520
|
10.1063/1.2084748
| null |
hep-th gr-qc math.QA
| null |
We illustrate the thesis that if time did not exist, we would have to create
it if space is noncommutative, and extend functions by something like
Schroedinger's equation. We propose that the phenomenon is a somewhat general
mechanism within noncommutative geometry for `spontaneous time generation'. We
show in detail how this works for the $su_2$ algebra $[x_i,x_j]=2\imath\lambda
\epsilon_{ij}{}^kx_k$ as noncommutative space, by explicitly adjoining the
forced time variable. We find the natural induced noncommutative Schroedingers
equation and show that it has the correct classical limit for a particle of
some mass $m\ne 0$, which is generated as a second free parameter by the
theory. We show that plane waves exist provided $|\vec p|< \pi/2\lambda$, i.e.
we find a Planckian bound on spatial momentum. We also propose dispersion
relations $|{\del p^0\over\del \vec p}|=|\tan({\lambda}|\vec p|)|/m\lambda$ for
the model and explore some elements of the noncommutative geometry. The model
is complementary to our previous bicrossproduct one.
|
[
{
"created": "Wed, 27 Jul 2005 18:39:18 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Aug 2005 19:51:09 GMT",
"version": "v2"
},
{
"created": "Wed, 31 Aug 2005 14:30:28 GMT",
"version": "v3"
},
{
"created": "Thu, 20 Oct 2005 19:09:32 GMT",
"version": "v4"
}
] |
2009-11-11
|
[
[
"Majid",
"Shahn",
""
]
] |
We illustrate the thesis that if time did not exist, we would have to create it if space is noncommutative, and extend functions by something like Schroedinger's equation. We propose that the phenomenon is a somewhat general mechanism within noncommutative geometry for `spontaneous time generation'. We show in detail how this works for the $su_2$ algebra $[x_i,x_j]=2\imath\lambda \epsilon_{ij}{}^kx_k$ as noncommutative space, by explicitly adjoining the forced time variable. We find the natural induced noncommutative Schroedingers equation and show that it has the correct classical limit for a particle of some mass $m\ne 0$, which is generated as a second free parameter by the theory. We show that plane waves exist provided $|\vec p|< \pi/2\lambda$, i.e. we find a Planckian bound on spatial momentum. We also propose dispersion relations $|{\del p^0\over\del \vec p}|=|\tan({\lambda}|\vec p|)|/m\lambda$ for the model and explore some elements of the noncommutative geometry. The model is complementary to our previous bicrossproduct one.
| 13.803686
| 15.669851
| 15.177141
| 13.756553
| 14.794216
| 15.193901
| 16.386131
| 14.976341
| 14.002492
| 15.437448
| 14.355598
| 14.35885
| 14.148868
| 13.868895
| 13.74555
| 14.429254
| 13.873898
| 13.471251
| 13.580944
| 15.024701
| 14.144129
|
2012.13308
|
Yangrui Hu
|
Aleksander J. Cianciara, S. James Gates Jr, Yangrui Hu, and Renee Kirk
|
The 300 "Correlators" Suggests 4D, $\cal N$ = 1 SUSY Is a Solution to a
Set of Sudoku Puzzles
|
LaTeX twice, 39 pages, 14 figures, 28 tables (v2 added one table and
associated content, v3 note added in proof comment)
| null |
10.1007/JHEP05(2021)077
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A conjecture is made that the weight space for 4D, $\cal N$-extended
supersymmetrical representations is embedded within the permutahedra associated
with permutation groups ${\mathbb{S}}{}_{d}$. Adinkras and Coxeter Groups
associated with minimal representations of 4D, $\cal N$ = 1 supersymmetry
provide evidence supporting this conjecture. It is shown the appearance of the
mathematics of 4D, $\cal N$ = 1 minimal off-shell supersymmetry representations
is equivalent to solving a four color problem on the truncated octahedron. This
observation suggest an entirely new way to approach the off-shell SUSY
auxiliary field problem based on IT algorithms probing the properties of
${\mathbb{S}}{}_{d}$.
|
[
{
"created": "Thu, 24 Dec 2020 16:11:33 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Dec 2020 23:33:59 GMT",
"version": "v2"
},
{
"created": "Tue, 29 Dec 2020 14:43:42 GMT",
"version": "v3"
},
{
"created": "Sat, 16 Jan 2021 02:54:24 GMT",
"version": "v4"
},
{
"created": "Wed, 31 Mar 2021 12:42:55 GMT",
"version": "v5"
},
{
"created": "Tue, 13 Apr 2021 19:30:12 GMT",
"version": "v6"
}
] |
2021-05-21
|
[
[
"Cianciara",
"Aleksander J.",
""
],
[
"Gates",
"S. James",
"Jr"
],
[
"Hu",
"Yangrui",
""
],
[
"Kirk",
"Renee",
""
]
] |
A conjecture is made that the weight space for 4D, $\cal N$-extended supersymmetrical representations is embedded within the permutahedra associated with permutation groups ${\mathbb{S}}{}_{d}$. Adinkras and Coxeter Groups associated with minimal representations of 4D, $\cal N$ = 1 supersymmetry provide evidence supporting this conjecture. It is shown the appearance of the mathematics of 4D, $\cal N$ = 1 minimal off-shell supersymmetry representations is equivalent to solving a four color problem on the truncated octahedron. This observation suggest an entirely new way to approach the off-shell SUSY auxiliary field problem based on IT algorithms probing the properties of ${\mathbb{S}}{}_{d}$.
| 12.600623
| 13.023552
| 14.739911
| 11.815327
| 12.921527
| 12.600335
| 12.828462
| 13.113295
| 12.183978
| 15.743582
| 11.773415
| 11.639101
| 12.384349
| 11.739946
| 12.048645
| 11.780845
| 11.485338
| 11.77232
| 11.686269
| 12.291727
| 11.728727
|
0710.5866
|
Andrzej Wereszczynski
|
C. Adam, J. Sanchez-Guillen and A. Wereszczynski
|
A first integration of some knot soliton models
| null |
Phys.Lett.B659:761-767,2008
|
10.1016/j.physletb.2007.11.089
| null |
hep-th
| null |
Recently it has been shown that there exists a sector within the
Faddeev-Niemi model for which the equations of motion may be reduced to first
order equations. However, no solutions to that sector have been given. It is
not even known whether this sector contains topologically nontrivial solutions,
at all.
Here, we show that two models with analytically known Hopf solitons, namely
the Nicole and the Aratyn-Ferreira-Zimerman models, possess sectors which can
be integrated to first order partial differential equations. The main result is
that these sectors are topologically nontrivial. In fact, all analytically
known hopfions belong to them.
|
[
{
"created": "Wed, 31 Oct 2007 13:59:19 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Adam",
"C.",
""
],
[
"Sanchez-Guillen",
"J.",
""
],
[
"Wereszczynski",
"A.",
""
]
] |
Recently it has been shown that there exists a sector within the Faddeev-Niemi model for which the equations of motion may be reduced to first order equations. However, no solutions to that sector have been given. It is not even known whether this sector contains topologically nontrivial solutions, at all. Here, we show that two models with analytically known Hopf solitons, namely the Nicole and the Aratyn-Ferreira-Zimerman models, possess sectors which can be integrated to first order partial differential equations. The main result is that these sectors are topologically nontrivial. In fact, all analytically known hopfions belong to them.
| 8.380277
| 7.431849
| 9.674198
| 7.648569
| 7.798415
| 8.051222
| 7.575767
| 7.157663
| 7.437641
| 9.825574
| 7.690173
| 7.68983
| 8.258721
| 7.813134
| 7.824785
| 7.651531
| 7.937723
| 7.729515
| 7.963649
| 8.774158
| 7.830726
|
1003.0991
|
Kumar S. Gupta
|
Kumar S. Gupta, E. Harikumar, Siddhartha Sen and M. Sivakumar
|
The Central Charge of the Warped AdS^3 Black Hole
|
6 pages, Latex file
|
Mod.Phys.Lett.A25:2065-2070,2010
|
10.1142/S0217732310033438
|
SINP/TNP/2010/02
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The AdS/CFT conjecture offers the possibility of a quantum description for a
black hole in terms of a CFT. This has led to the study of general AdS^3 type
black holes with a view to constructing an explicit toy quantum black hole
model. Such a CFT description would be characterized by its central charge and
the dimensions of its primary fields. Recently the expression for the central
charges (C_L, C_R) of the CFT dual to the warped AdS^3 have been determined
using asymptotic symmetry arguments. The central charges depend, as expected,
on the warping factor. We show that topological arguments, used by Witten to
constrain central charges for the BTZ black hole, can be generalized to deal
with the warped AdS^3 case. Topology constrains the warped factor to be
rational numbers while quasinormal modes are conjectured to give the dimensions
of primary fields. We find that in the limit when warping is large or when it
takes special rational values the system tends to Witten's conjectured unique
CFT's with central charges that are multiples of 24.
|
[
{
"created": "Thu, 4 Mar 2010 09:00:30 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Mar 2010 05:29:13 GMT",
"version": "v2"
}
] |
2014-11-20
|
[
[
"Gupta",
"Kumar S.",
""
],
[
"Harikumar",
"E.",
""
],
[
"Sen",
"Siddhartha",
""
],
[
"Sivakumar",
"M.",
""
]
] |
The AdS/CFT conjecture offers the possibility of a quantum description for a black hole in terms of a CFT. This has led to the study of general AdS^3 type black holes with a view to constructing an explicit toy quantum black hole model. Such a CFT description would be characterized by its central charge and the dimensions of its primary fields. Recently the expression for the central charges (C_L, C_R) of the CFT dual to the warped AdS^3 have been determined using asymptotic symmetry arguments. The central charges depend, as expected, on the warping factor. We show that topological arguments, used by Witten to constrain central charges for the BTZ black hole, can be generalized to deal with the warped AdS^3 case. Topology constrains the warped factor to be rational numbers while quasinormal modes are conjectured to give the dimensions of primary fields. We find that in the limit when warping is large or when it takes special rational values the system tends to Witten's conjectured unique CFT's with central charges that are multiples of 24.
| 9.791157
| 9.648137
| 10.964404
| 9.148323
| 9.737707
| 9.897152
| 9.723424
| 9.456539
| 9.55
| 10.880376
| 9.810497
| 9.451375
| 9.431993
| 9.800176
| 9.844997
| 9.815258
| 10.102648
| 9.818229
| 9.653484
| 9.885851
| 9.404663
|
1811.11619
|
Abhiram Kidambi
|
Andreas Banlaki, Abhishek Chowdhury, Abhiram Kidambi, Maria Schimpf
|
On Mathieu moonshine and Gromov-Witten invariants
|
28 pages, 2 tables, appendices taken from arXiv:1711.09698. V2:
Corrected typos, added references
| null |
10.1007/JHEP02(2020)082
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that a large number of $CY_3$ manifolds are involved in an intricate
way in Mathieu moonshine viz. their Gromov--Witten invariants are related to
the expansion coefficients of the twined/ twisted--twined elliptic genera of
$K3$. We use the string duality between CHL orbifolds of heterotic string
theory on $K3 \times T^2$ and type IIA string theory on $CY_3$ manifolds to
explicitly show this connection. We then work out two concrete examples where
we exactly match the expansion coefficients on both sides of the duality.
|
[
{
"created": "Wed, 28 Nov 2018 15:19:40 GMT",
"version": "v1"
},
{
"created": "Wed, 8 May 2019 19:03:01 GMT",
"version": "v2"
},
{
"created": "Mon, 6 Jan 2020 04:24:47 GMT",
"version": "v3"
}
] |
2021-06-21
|
[
[
"Banlaki",
"Andreas",
""
],
[
"Chowdhury",
"Abhishek",
""
],
[
"Kidambi",
"Abhiram",
""
],
[
"Schimpf",
"Maria",
""
]
] |
We show that a large number of $CY_3$ manifolds are involved in an intricate way in Mathieu moonshine viz. their Gromov--Witten invariants are related to the expansion coefficients of the twined/ twisted--twined elliptic genera of $K3$. We use the string duality between CHL orbifolds of heterotic string theory on $K3 \times T^2$ and type IIA string theory on $CY_3$ manifolds to explicitly show this connection. We then work out two concrete examples where we exactly match the expansion coefficients on both sides of the duality.
| 7.354923
| 7.167199
| 9.301857
| 6.852233
| 8.117185
| 7.353905
| 6.696245
| 7.059413
| 6.655879
| 9.676442
| 7.186158
| 6.856578
| 8.161728
| 6.845175
| 7.14194
| 7.014025
| 6.750717
| 7.030326
| 6.944174
| 7.731802
| 6.834645
|
2007.15650
|
Junjie Rao
|
Ryota Kojima, Junjie Rao
|
Triangulation-free Trivialization of 2-loop MHV Amplituhedron
|
10 pages
|
JHEP 2010 (2020) 140
|
10.1007/JHEP10(2020)140
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This article introduces a new approach to implement positivity for the 2-loop
n-particle MHV amplituhedron, circumventing the conventional triangulation with
respect to positive variables of each cell carved out by the sign flips. This
approach is universal for all linear positive conditions and hence free of
case-by-case triangulation, as an application of the trick of positive infinity
first introduced in 1910.14612 for the multi-loop 4-particle amplituhedron.
Moreover, the proof of 2-loop n-particle MHV amplituhedron in 1812.01822 is
revised, and we explain the nontriviality and difficulty of using conventional
triangulation while the results have a simple universal pattern. A further
example is presented to tentatively explore its generalization towards handling
multiple positive conditions at 3-loop and higher.
|
[
{
"created": "Thu, 30 Jul 2020 17:59:53 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Nov 2020 19:33:46 GMT",
"version": "v2"
}
] |
2020-11-06
|
[
[
"Kojima",
"Ryota",
""
],
[
"Rao",
"Junjie",
""
]
] |
This article introduces a new approach to implement positivity for the 2-loop n-particle MHV amplituhedron, circumventing the conventional triangulation with respect to positive variables of each cell carved out by the sign flips. This approach is universal for all linear positive conditions and hence free of case-by-case triangulation, as an application of the trick of positive infinity first introduced in 1910.14612 for the multi-loop 4-particle amplituhedron. Moreover, the proof of 2-loop n-particle MHV amplituhedron in 1812.01822 is revised, and we explain the nontriviality and difficulty of using conventional triangulation while the results have a simple universal pattern. A further example is presented to tentatively explore its generalization towards handling multiple positive conditions at 3-loop and higher.
| 20.371595
| 20.688486
| 23.915653
| 19.723269
| 20.813053
| 21.273497
| 21.998522
| 20.551044
| 20.198149
| 26.027193
| 20.234274
| 21.383806
| 21.449514
| 19.997374
| 20.469242
| 19.855371
| 20.638851
| 20.695517
| 19.770514
| 21.815123
| 19.941298
|
hep-th/9905226
|
Gianguido Dall'Agata
|
Anna Ceresole, Gianguido Dall'Agata, Riccardo D'Auria and Sergio
Ferrara
|
Spectrum of Type IIB Supergravity on AdS_5 x T^{11}: Predictions on N =
1 SCFT's
|
39+1 pages, LaTeX2e, uses package LaTeXsym. Misprints and minor
polishing
|
Phys.Rev.D61:066001,2000
|
10.1103/PhysRevD.61.066001
|
CERN-TH/99-156; DFTT 99/29; LPTENS 99/19
|
hep-th
| null |
We derive the full Kaluza-Klein spectrum of type IIB supergravity
compactified on AdS_5 x T^{11} with T^{11} = (SU(2) x SU(2))/U(1). From the
knowledge of the spectrum and general multiplet shortening conditions, we make
a refined test of the AdS/CFT correspondence, by comparison between various
shortenings of SU(2,2|1) supermultiplets on AdS_5 and different families of
boundary operators with protected dimensions. Additional towers of long
multiplets with rational dimensions, that are not protected by supersymmetry,
are also predicted from the supergravity analysis.
|
[
{
"created": "Mon, 31 May 1999 15:45:07 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Jun 1999 14:38:37 GMT",
"version": "v2"
},
{
"created": "Tue, 27 Jul 1999 16:21:49 GMT",
"version": "v3"
}
] |
2010-04-06
|
[
[
"Ceresole",
"Anna",
""
],
[
"Dall'Agata",
"Gianguido",
""
],
[
"D'Auria",
"Riccardo",
""
],
[
"Ferrara",
"Sergio",
""
]
] |
We derive the full Kaluza-Klein spectrum of type IIB supergravity compactified on AdS_5 x T^{11} with T^{11} = (SU(2) x SU(2))/U(1). From the knowledge of the spectrum and general multiplet shortening conditions, we make a refined test of the AdS/CFT correspondence, by comparison between various shortenings of SU(2,2|1) supermultiplets on AdS_5 and different families of boundary operators with protected dimensions. Additional towers of long multiplets with rational dimensions, that are not protected by supersymmetry, are also predicted from the supergravity analysis.
| 7.963923
| 6.113677
| 9.202587
| 7.036278
| 7.001148
| 7.186981
| 7.102554
| 7.130975
| 6.777276
| 11.074967
| 7.091433
| 7.382801
| 8.449587
| 7.154639
| 6.98572
| 7.749414
| 6.819134
| 7.516009
| 7.172234
| 8.233043
| 7.263457
|
1112.0260
|
Junya Yagi
|
Junya Yagi
|
On the six-dimensional origin of the AGT correspondence
|
References added. 14 pages
|
JHEP 02 (2012) 020
|
10.1007/JHEP02(2012)020
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We argue that the six-dimensional (2,0) superconformal theory defined on M
\times C, with M being a four-manifold and C a Riemann surface, can be twisted
in a way that makes it topological on M and holomorphic on C. Assuming the
existence of such a twisted theory, we show that its chiral algebra contains a
W-algebra when M = R^4, possibly in the presence of a codimension-two defect
operator supported on R^2 \times C \subset M \times C. We expect this structure
to survive the \Omega-deformation.
|
[
{
"created": "Thu, 1 Dec 2011 18:20:34 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Dec 2011 20:40:32 GMT",
"version": "v2"
},
{
"created": "Wed, 15 Feb 2012 14:11:45 GMT",
"version": "v3"
},
{
"created": "Fri, 2 Mar 2012 23:28:14 GMT",
"version": "v4"
}
] |
2012-03-06
|
[
[
"Yagi",
"Junya",
""
]
] |
We argue that the six-dimensional (2,0) superconformal theory defined on M \times C, with M being a four-manifold and C a Riemann surface, can be twisted in a way that makes it topological on M and holomorphic on C. Assuming the existence of such a twisted theory, we show that its chiral algebra contains a W-algebra when M = R^4, possibly in the presence of a codimension-two defect operator supported on R^2 \times C \subset M \times C. We expect this structure to survive the \Omega-deformation.
| 6.300026
| 6.266806
| 7.872649
| 5.85976
| 5.885062
| 5.657902
| 6.304532
| 5.904684
| 5.673359
| 9.084613
| 6.187057
| 6.017174
| 7.04537
| 5.949137
| 5.86766
| 6.059228
| 5.78914
| 5.865801
| 5.888601
| 6.604094
| 5.679517
|
hep-th/9210075
|
Alexandre T. Filippov
|
A.T. Filippov, A.P. Isaev and A.B. Kurdikov
|
On Paragrassmann Differential Calculus
|
19pp
|
Theor.Math.Phys. 94 (1993) 150-165; Teor.Mat.Fiz. 94N2 (1993)
213-231
|
10.1007/BF01019327
| null |
hep-th
| null |
Explicit general constructions of paragrassmann calculus with one and many
variables are given. Relations of the paragrassmann calculus to quantum groups
are outlined and possible physics applications are briefly discussed. This
paper is the same as the original 9210075 except added Appendix and minor
changes in Acknowledgements and References. IMPORTANT NOTE: This paper bears
the same title as the Dubna preprint E5-92-392 but is NOT identical to it,
containing new results, extended discussions, and references.
|
[
{
"created": "Wed, 14 Oct 1992 07:11:42 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Nov 1992 09:49:25 GMT",
"version": "v2"
}
] |
2009-10-22
|
[
[
"Filippov",
"A. T.",
""
],
[
"Isaev",
"A. P.",
""
],
[
"Kurdikov",
"A. B.",
""
]
] |
Explicit general constructions of paragrassmann calculus with one and many variables are given. Relations of the paragrassmann calculus to quantum groups are outlined and possible physics applications are briefly discussed. This paper is the same as the original 9210075 except added Appendix and minor changes in Acknowledgements and References. IMPORTANT NOTE: This paper bears the same title as the Dubna preprint E5-92-392 but is NOT identical to it, containing new results, extended discussions, and references.
| 18.813723
| 16.771128
| 20.324741
| 14.751362
| 17.032066
| 16.584652
| 16.874987
| 16.718288
| 14.912819
| 19.138538
| 15.747568
| 15.942054
| 18.241047
| 16.683464
| 16.218817
| 15.772715
| 16.4398
| 16.300159
| 16.90073
| 18.919542
| 16.702501
|
2203.15562
|
Rajeev Singh
|
Arpan Das, Wojciech Florkowski, Avdhesh Kumar, Radoslaw Ryblewski,
Rajeev Singh
|
Semi-classical kinetic theory for massive spin-half fermions with
leading-order spin effects
|
Revised version
|
Acta Physica Polonica B vol. 54, article 8-A4 (2023)
|
10.5506/APhysPolB.54.8-A4
|
INT-PUB-23-032
|
hep-th hep-ph nucl-th
|
http://creativecommons.org/licenses/by/4.0/
|
We consider the quantum kinetic-theory description for interacting massive
spin-half fermions using the Wigner function formalism. We derive a general
kinetic theory description assuming that the spin effects appear at the
classical and quantum level. To track the effect of such different
contributions we use the semi-classical expansion method to obtain the
generalized dynamical equations including spin, analogous to classical
Boltzmann equation. This approach can be used to obtain a collision kernel
involving local as well as non-local collisions among the microscopic
constituent of the system and eventually, a framework of spin hydrodynamics
ensuring the conservation of the energy-momentum tensor and total angular
momentum tensor.
|
[
{
"created": "Mon, 28 Mar 2022 09:46:58 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Aug 2023 16:23:56 GMT",
"version": "v2"
}
] |
2023-09-11
|
[
[
"Das",
"Arpan",
""
],
[
"Florkowski",
"Wojciech",
""
],
[
"Kumar",
"Avdhesh",
""
],
[
"Ryblewski",
"Radoslaw",
""
],
[
"Singh",
"Rajeev",
""
]
] |
We consider the quantum kinetic-theory description for interacting massive spin-half fermions using the Wigner function formalism. We derive a general kinetic theory description assuming that the spin effects appear at the classical and quantum level. To track the effect of such different contributions we use the semi-classical expansion method to obtain the generalized dynamical equations including spin, analogous to classical Boltzmann equation. This approach can be used to obtain a collision kernel involving local as well as non-local collisions among the microscopic constituent of the system and eventually, a framework of spin hydrodynamics ensuring the conservation of the energy-momentum tensor and total angular momentum tensor.
| 15.729562
| 15.640715
| 16.776974
| 15.08123
| 16.18844
| 16.529106
| 16.510221
| 15.193285
| 15.053465
| 16.850426
| 15.65372
| 15.863353
| 15.806323
| 15.634664
| 14.682604
| 15.789917
| 15.520945
| 14.644773
| 15.906718
| 16.276606
| 15.432527
|
1512.00249
|
Kazuma Shimizu
|
Tomoki Nosaka, Kazuma Shimizu, Seiji Terashima
|
Large N behavior of mass deformed ABJM theory
|
25 pages,3 figures; v2: typos corrected, a comment on solution II
added, footnotes added, references added
| null |
10.1007/JHEP03(2016)063
|
YITP-15-106
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, using the localization technique we analyze the large N limit
of the mass deformed Aharony-Bergman-Jafferis-Maldacena (ABJM) theory on the
three sphere with a finite mass parameter and finite Chern-Simons levels. We
find two different solutions of the saddle point equations in the large N
limit. With these solutions we compute the free energy and find that there is a
first order phase transition. Our results may predict a phase transition in the
dual gravity theory.
|
[
{
"created": "Tue, 1 Dec 2015 13:21:29 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Aug 2016 03:45:49 GMT",
"version": "v2"
}
] |
2016-08-26
|
[
[
"Nosaka",
"Tomoki",
""
],
[
"Shimizu",
"Kazuma",
""
],
[
"Terashima",
"Seiji",
""
]
] |
In this paper, using the localization technique we analyze the large N limit of the mass deformed Aharony-Bergman-Jafferis-Maldacena (ABJM) theory on the three sphere with a finite mass parameter and finite Chern-Simons levels. We find two different solutions of the saddle point equations in the large N limit. With these solutions we compute the free energy and find that there is a first order phase transition. Our results may predict a phase transition in the dual gravity theory.
| 5.947845
| 5.071877
| 7.444419
| 5.24383
| 5.329012
| 5.036818
| 4.997544
| 5.175897
| 5.022521
| 6.760713
| 5.382911
| 5.08864
| 5.932207
| 5.35011
| 5.27498
| 5.02812
| 4.9791
| 5.180502
| 5.158171
| 5.793168
| 5.093493
|
hep-th/9311036
|
Martin Schlichenmaier
|
Martin Schlichenmaier
|
Differential Operator Algebras on compact Riemann Surfaces
|
11 pages, AmsTeX 2.1 and psbox macros
| null | null |
Mannheimer Manuskripte 164
|
hep-th alg-geom math.QA
| null |
Invited talk at the International Symposium on Generalized Symmetries in
Physics at the Arnold-Sommerfeld-Institute, Clausthal, Germany, July 26 -- July
29, 1993. This talk reviews results on the structure of algebras consisting of
meromorphic differential operators which are holomorphic outside a finite set
of points on compact Riemann surfaces. For each partition into two disjoint
subsets of the set of points where poles are allowed, a grading of the algebra
and of the modules of lambda - forms is introduced. With respect to this
grading the Lie structure of the algebra and of the modules are almost graded
ones. Central extensions and semi-infinite wedge representations are studied.
If one considers only differential operators of degree 1 then these algebras
are generalizations of the Virasoro algebra in genus zero, resp. of Krichever
Novikov algebras in higher genus.
|
[
{
"created": "Fri, 5 Nov 1993 11:08:01 GMT",
"version": "v1"
}
] |
2009-09-25
|
[
[
"Schlichenmaier",
"Martin",
""
]
] |
Invited talk at the International Symposium on Generalized Symmetries in Physics at the Arnold-Sommerfeld-Institute, Clausthal, Germany, July 26 -- July 29, 1993. This talk reviews results on the structure of algebras consisting of meromorphic differential operators which are holomorphic outside a finite set of points on compact Riemann surfaces. For each partition into two disjoint subsets of the set of points where poles are allowed, a grading of the algebra and of the modules of lambda - forms is introduced. With respect to this grading the Lie structure of the algebra and of the modules are almost graded ones. Central extensions and semi-infinite wedge representations are studied. If one considers only differential operators of degree 1 then these algebras are generalizations of the Virasoro algebra in genus zero, resp. of Krichever Novikov algebras in higher genus.
| 7.986258
| 9.966765
| 9.09387
| 8.056166
| 8.425024
| 9.516691
| 9.785796
| 8.555742
| 8.982705
| 10.065279
| 8.896585
| 7.628436
| 7.901613
| 7.381824
| 7.825743
| 7.549183
| 7.832108
| 7.345049
| 7.679945
| 7.785685
| 7.809043
|
hep-th/9508085
|
Michael Dine
|
Michael Dine
|
Coming to Terms with Strongly Coupled Strings
|
5 pages compressed postscript
| null | null |
SCIPP 95/25
|
hep-th
| null |
The holomorphy of the superpotential along with symmetries gives very strong
constraints on any stringy non-perturbative effects. This observation suggests
an approach to string phenomenology. (Presented at ``Strings 95'', March 1995.
|
[
{
"created": "Thu, 17 Aug 1995 21:59:08 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Dine",
"Michael",
""
]
] |
The holomorphy of the superpotential along with symmetries gives very strong constraints on any stringy non-perturbative effects. This observation suggests an approach to string phenomenology. (Presented at ``Strings 95'', March 1995.
| 15.434248
| 12.283621
| 16.931684
| 11.364046
| 12.193845
| 11.020084
| 11.686489
| 10.942475
| 11.215266
| 14.721087
| 10.220342
| 12.017706
| 14.961527
| 12.663713
| 12.971266
| 13.003035
| 12.11323
| 13.518286
| 12.190443
| 14.970922
| 12.038176
|
1904.06154
|
Lorenzo Luis Salcedo
|
C. Garcia-Recio and L. L. Salcedo
|
Renormalization of vector fields with mass-like coupling in curved
spacetime
|
14 pages, no figures
| null |
10.1140/epjc/s10052-019-6930-1
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using the method of covariant symbols we compute the divergent part of the
effective action of the Proca field with non-minimal mass term. Specifically a
quantum Abelian vector field with a non-derivative coupling to an external
tensor field in curved spacetime in four dimensions is considered. Relatively
explicit expressions are obtained which are manifestly local but non polynomial
in the external fields. Our result is shown to reproduce existing ones in all
particular cases considered. Internal consistency with Weyl invariance is also
verified.
|
[
{
"created": "Fri, 12 Apr 2019 10:48:57 GMT",
"version": "v1"
}
] |
2019-06-26
|
[
[
"Garcia-Recio",
"C.",
""
],
[
"Salcedo",
"L. L.",
""
]
] |
Using the method of covariant symbols we compute the divergent part of the effective action of the Proca field with non-minimal mass term. Specifically a quantum Abelian vector field with a non-derivative coupling to an external tensor field in curved spacetime in four dimensions is considered. Relatively explicit expressions are obtained which are manifestly local but non polynomial in the external fields. Our result is shown to reproduce existing ones in all particular cases considered. Internal consistency with Weyl invariance is also verified.
| 12.732535
| 11.417185
| 12.427746
| 11.559743
| 12.542194
| 11.206876
| 11.277629
| 11.0701
| 11.407414
| 13.156365
| 11.41344
| 10.982726
| 11.667669
| 11.159627
| 11.283756
| 11.021514
| 11.360868
| 11.355809
| 11.180202
| 11.747355
| 11.06305
|
hep-th/0505193
|
Shinji Tsujikawa
|
Gianluca Calcagni, Shinji Tsujikawa, M Sami
|
Dark energy and cosmological solutions in second-order string gravity
|
35 pages, 7 figures
|
Class.Quant.Grav.22:3977-4006,2005
|
10.1088/0264-9381/22/19/011
| null |
hep-th astro-ph gr-qc hep-ph
| null |
We study the cosmological evolution based upon a $D$-dimensional action in
low-energy effective string theory in the presence of second-order curvature
corrections and a modulus scalar field (dilaton or compactification modulus). A
barotropic perfect fluid coupled to the scalar field is also allowed. Phase
space analysis and the stability of asymptotic solutions are performed for a
number of models which include ($i$) fixed scalar field, ($ii$) linear dilaton
in string frame, and ($iii$) logarithmic modulus in Einstein frame. We confront
analytical solutions with observational constraints for deceleration parameter
and show that Gauss-Bonnet gravity (with no matter fields) may not explain the
current acceleration of the universe. We also study the future evolution of the
universe using the GB parametrization and find that big rip singularities can
be avoided even in the presence of a phantom fluid because of the balance
between the fluid and curvature corrections. A non-minimal coupling between the
fluid and the modulus field also opens up the interesting possibility to avoid
big rip regardless of the details of the fluid equation of state.
|
[
{
"created": "Mon, 23 May 2005 02:53:44 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Sep 2005 09:46:09 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Calcagni",
"Gianluca",
""
],
[
"Tsujikawa",
"Shinji",
""
],
[
"Sami",
"M",
""
]
] |
We study the cosmological evolution based upon a $D$-dimensional action in low-energy effective string theory in the presence of second-order curvature corrections and a modulus scalar field (dilaton or compactification modulus). A barotropic perfect fluid coupled to the scalar field is also allowed. Phase space analysis and the stability of asymptotic solutions are performed for a number of models which include ($i$) fixed scalar field, ($ii$) linear dilaton in string frame, and ($iii$) logarithmic modulus in Einstein frame. We confront analytical solutions with observational constraints for deceleration parameter and show that Gauss-Bonnet gravity (with no matter fields) may not explain the current acceleration of the universe. We also study the future evolution of the universe using the GB parametrization and find that big rip singularities can be avoided even in the presence of a phantom fluid because of the balance between the fluid and curvature corrections. A non-minimal coupling between the fluid and the modulus field also opens up the interesting possibility to avoid big rip regardless of the details of the fluid equation of state.
| 9.571619
| 9.119905
| 8.819149
| 8.75813
| 8.930241
| 9.145423
| 9.529047
| 8.938725
| 8.924796
| 9.551472
| 8.805153
| 9.242768
| 9.317124
| 9.28159
| 9.163138
| 9.335702
| 9.180035
| 9.282995
| 9.404493
| 9.49574
| 9.279966
|
1901.05869
|
Arnau Koemans Collado
|
Arnau Koemans Collado and Steven Thomas
|
Eikonal Scattering in Kaluza-Klein Gravity
|
27 pages, 4 figures
| null |
10.1007/JHEP04(2019)171
|
QMUL-PH-19-01
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study eikonal scattering in the context of Kaluza-Klein theory by
considering a massless scalar field coupled to Einstein's gravity in 5D
compactified to 4D on a manifold $M_4\times S^1 $. We also examine various
different kinematic limits of the resulting eikonal. In the ultra-relativistic
scattering case we find correspondence with the time delay calculated for a
massless particle moving in a compactified version of the Aichelburg-Sexl
shock-wave geometry. In the case of a massless Kaluza-Klein scalar scattering
off a heavy Kaluza-Klein mode a similar calculation yields the deflection angle
of a massless particle in the geometry of an extremal, $Q=2M$,
Einstein-Maxwell-dilaton 4D black hole. We also discuss a related case in the
scattering of dilatons off a large stack of $D0$-branes or $D6$-branes in
dimensionally reduced $D=10$ type IIA string theory.
|
[
{
"created": "Thu, 17 Jan 2019 16:21:12 GMT",
"version": "v1"
},
{
"created": "Wed, 1 May 2019 10:43:00 GMT",
"version": "v2"
}
] |
2019-05-02
|
[
[
"Collado",
"Arnau Koemans",
""
],
[
"Thomas",
"Steven",
""
]
] |
We study eikonal scattering in the context of Kaluza-Klein theory by considering a massless scalar field coupled to Einstein's gravity in 5D compactified to 4D on a manifold $M_4\times S^1 $. We also examine various different kinematic limits of the resulting eikonal. In the ultra-relativistic scattering case we find correspondence with the time delay calculated for a massless particle moving in a compactified version of the Aichelburg-Sexl shock-wave geometry. In the case of a massless Kaluza-Klein scalar scattering off a heavy Kaluza-Klein mode a similar calculation yields the deflection angle of a massless particle in the geometry of an extremal, $Q=2M$, Einstein-Maxwell-dilaton 4D black hole. We also discuss a related case in the scattering of dilatons off a large stack of $D0$-branes or $D6$-branes in dimensionally reduced $D=10$ type IIA string theory.
| 7.516527
| 7.670457
| 7.449113
| 7.017125
| 6.924528
| 6.908832
| 6.993946
| 6.731749
| 7.318847
| 8.149879
| 6.912772
| 6.860594
| 7.2049
| 7.001255
| 7.102587
| 7.031108
| 7.113862
| 7.159969
| 6.908093
| 7.144023
| 6.938489
|
2106.04568
|
Hong-Jian He
|
Yan-Feng Hang, Hong-Jian He
|
Structure of Kaluza-Klein Graviton Scattering Amplitudes from
Gravitational Equivalence Theorem and Double-Copy
|
90 pages. Final version inclulding the exact KK double-copy of NLO
amplitudes. Conclusions unchanged, typos corrected and references added. Its
companion Letter paper appeared in arXiv:2207.11214
|
Phys. Rev. D105 (2022) 084005, no.8
|
10.1103/PhysRevD.105.084005
| null |
hep-th gr-qc hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We study the structure of scattering amplitudes of the Kaluza-Klein (KK)
gravitons and of the gravitational KK Goldstone bosons in the compactified 5d
General Relativity (GR). We analyze the geometric "Higgs" mechanism for
mass-generation of KK gravitons under compactification with a general $R_\xi$
gauge-fixing, which is free from the vDVZ discontinuity. Then, we formulate the
Gravitational Equivalence Theorem (GRET) to connect the longitudinal KK
graviton amplitudes to the KK Goldstone amplitudes, which is a manifestation of
the geometric Higgs mechanism at $S$-matrix level. We directly compute the
tree-level KK Goldstone amplitudes which equal the longitudinal KK graviton
amplitudes in the high energy limit. We further extend the double-copy method
with color-kinematics duality to reconstruct the massive KK longitudinal
graviton (Goldstone) amplitudes from the KK longitudinal gauge boson
(Goldstone) amplitudes in the compactified 5d Yang-Mills (YM) theory under high
energy expansion. From these, we reconstruct the GRET of the KK longitudinal
graviton (Goldstone) amplitudes in the 5d GR from the KK longitudinal gauge
boson (Goldstone) amplitudes in the 5d YM theory. Using either the GRET or the
double-copy reconstruction, we provide a theoretical mechanism showing that the
sum of all the energy-power terms [up to $O(E^{10})$] in the high-energy four
longitudinal KK graviton amplitudes must cancel down to $O(E^2)$ as enforced by
matching the energy-power dependence of the corresponding KK Goldstone
amplitudes or by matching that of the double-copy amplitudes from the KK YM
theory. With the double-copy approach, we establish a new correspondence
between the two energy-cancellations: $E^4 \to E^0$ in the 5d KK YM theory and
$E^{10} \to E^2$ in the 5d KK GR theory. We further analyze the structure of
the residual terms in the GRET and uncover a new energy-cancellation mechanism
therein.
|
[
{
"created": "Tue, 8 Jun 2021 17:54:37 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Jun 2021 17:39:40 GMT",
"version": "v2"
},
{
"created": "Fri, 23 Jul 2021 17:36:54 GMT",
"version": "v3"
},
{
"created": "Thu, 28 Jul 2022 17:47:49 GMT",
"version": "v4"
}
] |
2022-07-29
|
[
[
"Hang",
"Yan-Feng",
""
],
[
"He",
"Hong-Jian",
""
]
] |
We study the structure of scattering amplitudes of the Kaluza-Klein (KK) gravitons and of the gravitational KK Goldstone bosons in the compactified 5d General Relativity (GR). We analyze the geometric "Higgs" mechanism for mass-generation of KK gravitons under compactification with a general $R_\xi$ gauge-fixing, which is free from the vDVZ discontinuity. Then, we formulate the Gravitational Equivalence Theorem (GRET) to connect the longitudinal KK graviton amplitudes to the KK Goldstone amplitudes, which is a manifestation of the geometric Higgs mechanism at $S$-matrix level. We directly compute the tree-level KK Goldstone amplitudes which equal the longitudinal KK graviton amplitudes in the high energy limit. We further extend the double-copy method with color-kinematics duality to reconstruct the massive KK longitudinal graviton (Goldstone) amplitudes from the KK longitudinal gauge boson (Goldstone) amplitudes in the compactified 5d Yang-Mills (YM) theory under high energy expansion. From these, we reconstruct the GRET of the KK longitudinal graviton (Goldstone) amplitudes in the 5d GR from the KK longitudinal gauge boson (Goldstone) amplitudes in the 5d YM theory. Using either the GRET or the double-copy reconstruction, we provide a theoretical mechanism showing that the sum of all the energy-power terms [up to $O(E^{10})$] in the high-energy four longitudinal KK graviton amplitudes must cancel down to $O(E^2)$ as enforced by matching the energy-power dependence of the corresponding KK Goldstone amplitudes or by matching that of the double-copy amplitudes from the KK YM theory. With the double-copy approach, we establish a new correspondence between the two energy-cancellations: $E^4 \to E^0$ in the 5d KK YM theory and $E^{10} \to E^2$ in the 5d KK GR theory. We further analyze the structure of the residual terms in the GRET and uncover a new energy-cancellation mechanism therein.
| 5.832963
| 5.752357
| 6.522886
| 5.457342
| 6.337972
| 5.604077
| 5.403315
| 5.586372
| 5.563789
| 6.30823
| 5.57832
| 5.707084
| 5.944866
| 5.747489
| 5.843867
| 5.72759
| 5.641542
| 5.713949
| 5.738075
| 5.83105
| 5.704413
|
1210.1856
|
Paulina Suchanek
|
Volker Schomerus and Paulina Suchanek
|
Liouville's Imaginary Shadow
|
31 pages
|
JHEP12(2012)020
|
10.1007/JHEP12(2012)020
|
DESY 12-165
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
N=1 super Liouville field theory is one of the simplest non-rational
conformal field theories. It possesses various important extensions and
interesting applications, e.g. to the AGT relation with 4D gauge theory or the
construction of the OSP(1|2) WZW model. In both setups, the N=1 Liouville field
is accompanied by an additional free fermion. Recently, Belavin et al.
suggested a bosonization of the product theory in terms of two bosonic
Liouville fields. While one of these Liouville fields is standard, the second
turns out to be imaginary (or time-like). We extend the proposal to the R
sector and perform extensive checks based on detailed comparison of 3-point
functions involving several super-conformal primaries and descendants. On the
basis of such strong evidence we sketch a number of interesting potential
applications of this intriguing bosonization.
|
[
{
"created": "Fri, 5 Oct 2012 20:03:37 GMT",
"version": "v1"
}
] |
2013-05-31
|
[
[
"Schomerus",
"Volker",
""
],
[
"Suchanek",
"Paulina",
""
]
] |
N=1 super Liouville field theory is one of the simplest non-rational conformal field theories. It possesses various important extensions and interesting applications, e.g. to the AGT relation with 4D gauge theory or the construction of the OSP(1|2) WZW model. In both setups, the N=1 Liouville field is accompanied by an additional free fermion. Recently, Belavin et al. suggested a bosonization of the product theory in terms of two bosonic Liouville fields. While one of these Liouville fields is standard, the second turns out to be imaginary (or time-like). We extend the proposal to the R sector and perform extensive checks based on detailed comparison of 3-point functions involving several super-conformal primaries and descendants. On the basis of such strong evidence we sketch a number of interesting potential applications of this intriguing bosonization.
| 9.1517
| 8.860341
| 10.776743
| 8.722417
| 8.893207
| 9.211745
| 9.012887
| 8.888673
| 8.801133
| 11.659936
| 9.13884
| 8.767954
| 9.509959
| 9.099513
| 8.763402
| 8.38679
| 8.63932
| 8.750799
| 8.563409
| 9.70345
| 8.842058
|
hep-th/0001154
|
Christian Jaekel
|
Christian Jaekel
|
The Reeh-Schlieder property for ground states
|
plain tex, 11 pages, An unnecessary strong assumption has been
replaced by a more adequate one in Definition 2.1
|
Annalen Phys. 12 (2003) 289-299
|
10.1002/andp.200310012
| null |
hep-th
| null |
Recently it has been shown that the Reeh-Schlieder property w.r.t. thermal
equilibrium states is a direct consequence of locality, additivity and the
relativistic KMS condition. Here we extend this result to ground states.
|
[
{
"created": "Mon, 24 Jan 2000 15:37:13 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Jan 2000 13:40:54 GMT",
"version": "v2"
},
{
"created": "Thu, 10 Feb 2000 14:28:49 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Jaekel",
"Christian",
""
]
] |
Recently it has been shown that the Reeh-Schlieder property w.r.t. thermal equilibrium states is a direct consequence of locality, additivity and the relativistic KMS condition. Here we extend this result to ground states.
| 10.104277
| 6.04309
| 8.007893
| 6.836469
| 8.711544
| 7.10641
| 6.391115
| 6.654337
| 7.556926
| 9.306239
| 7.179073
| 8.690125
| 8.698761
| 7.843483
| 8.88629
| 8.262731
| 8.564017
| 7.773426
| 8.567242
| 9.516233
| 8.137189
|
1308.6425
|
Hiroshi Kawabe
|
Hiroshi Kawabe
|
Causal dynamical triangulation for non-critical open-closed string field
theory
|
15pages, 22figures, typos corrected
|
Phys.Lett.B729(2014)91-98
|
10.1016/j.physletb.2013.12.046
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We extend the 2 dimensional Causal Dynamical Triangulation (CDT) model from
the usual model of closed string to the one of open-closed string. The
matrix-vector model describing the loop gas model is modified so as to possess
the nature of the CDT, i.e. the time foliation structure. Stochastic
quantization method produces interactions of loop and line variables similar to
those in the non-critical open-closed string field theories. By taking an
appropriate scaling, we realize an extended model of the generalized CDT
(GCDT), which keeps the causality in a broad sense.
|
[
{
"created": "Thu, 29 Aug 2013 10:39:06 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Sep 2013 11:12:56 GMT",
"version": "v2"
}
] |
2014-01-16
|
[
[
"Kawabe",
"Hiroshi",
""
]
] |
We extend the 2 dimensional Causal Dynamical Triangulation (CDT) model from the usual model of closed string to the one of open-closed string. The matrix-vector model describing the loop gas model is modified so as to possess the nature of the CDT, i.e. the time foliation structure. Stochastic quantization method produces interactions of loop and line variables similar to those in the non-critical open-closed string field theories. By taking an appropriate scaling, we realize an extended model of the generalized CDT (GCDT), which keeps the causality in a broad sense.
| 14.475834
| 13.314458
| 14.670644
| 12.311683
| 13.635345
| 13.724697
| 13.064609
| 11.88344
| 13.204915
| 17.807001
| 13.465401
| 12.772086
| 14.111705
| 12.934319
| 13.410489
| 13.62844
| 12.77595
| 13.459597
| 12.807971
| 13.493482
| 12.639661
|
hep-th/9212058
| null |
A. Toon
|
Particle Content in Topological Field Theories
|
9p, OUTP-92-30P
|
Mod.Phys.Lett. A9 (1994) 29-40
|
10.1142/S0217732394000058
| null |
hep-th
| null |
By demanding that the path integral measure of topological field theories be
metric independent, we can derive powerful constraints on the particle content
of a topological field theory as well as on the dimensionality of space-time.
|
[
{
"created": "Wed, 9 Dec 1992 18:45:42 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Toon",
"A.",
""
]
] |
By demanding that the path integral measure of topological field theories be metric independent, we can derive powerful constraints on the particle content of a topological field theory as well as on the dimensionality of space-time.
| 12.843063
| 8.770688
| 8.938256
| 8.841318
| 8.270606
| 7.688607
| 8.923917
| 8.60113
| 8.023599
| 9.624634
| 8.973325
| 9.224614
| 8.783008
| 8.745719
| 8.983738
| 9.110415
| 8.881721
| 9.042108
| 8.857538
| 9.235658
| 8.938968
|
1403.7407
|
Elcio Abdalla
|
Kai Lin and Elcio Abdalla
|
Holographic Superconductors in a Rotating Spacetime
|
9 pages, 5 figures, paper completely rewritten and improved. Version
to appear in EPJC
| null |
10.1140/epjc/s10052-014-3144-4
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider holographic superconductors in a rotating black string spacetime.
In view of the mandatory introduction of the $A_\varphi$ component of the
vector potential we are left with three equations to be solved. Their solutions
show that the effect of the rotating parameter $a$ influences the critical
temperature $T_c$ and the conductivity $\sigma$ in a simple but not trivial
way.
|
[
{
"created": "Fri, 28 Mar 2014 15:05:10 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Jun 2014 19:36:48 GMT",
"version": "v2"
},
{
"created": "Fri, 17 Oct 2014 13:29:42 GMT",
"version": "v3"
}
] |
2015-06-19
|
[
[
"Lin",
"Kai",
""
],
[
"Abdalla",
"Elcio",
""
]
] |
We consider holographic superconductors in a rotating black string spacetime. In view of the mandatory introduction of the $A_\varphi$ component of the vector potential we are left with three equations to be solved. Their solutions show that the effect of the rotating parameter $a$ influences the critical temperature $T_c$ and the conductivity $\sigma$ in a simple but not trivial way.
| 10.821809
| 9.2494
| 9.389518
| 8.919654
| 9.231944
| 9.808732
| 9.52027
| 9.726874
| 9.088846
| 9.864198
| 8.737684
| 10.006332
| 8.990052
| 9.230625
| 9.243145
| 9.044927
| 9.28839
| 9.094692
| 9.726544
| 9.032765
| 9.642461
|
hep-th/9806149
|
Dongsu Bak
|
Dongsu Bak, Joohan Lee, and Hyunsoo Min
|
Dynamics of BPS States in the Dirac-Born-Infeld Theory
|
19 pages, 4 figures References added, Typographical errors are
corrected
|
Phys. Rev. D 59, 045011 (1999)
|
10.1103/PhysRevD.59.045011
|
UOSTP-98-102, SNUTP-98-059
|
hep-th
| null |
The Dirac-Born-Infeld action with transverse scalar fields is considered to
study the dynamics of various BPS states. We first describe the characteristic
properties of the so-called 1/2 and 1/4 BPS states on the D3 brane, which can
be interpreted as F/D-strings ending on a D3-brane in Type IIB string theory
picture. We then study the response of the BPS states to low energy excitations
of massless fields on the brane, the scalar fields representing the shape
fluctuation of the brane and U(1) gauge fields describing the open string
excitations on the D-brane. This leads to an identification of interactions
between BPS states including the static potentials and the kinetic
interactions.
|
[
{
"created": "Thu, 18 Jun 1998 11:30:05 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Jul 1998 05:20:04 GMT",
"version": "v2"
}
] |
2016-08-25
|
[
[
"Bak",
"Dongsu",
""
],
[
"Lee",
"Joohan",
""
],
[
"Min",
"Hyunsoo",
""
]
] |
The Dirac-Born-Infeld action with transverse scalar fields is considered to study the dynamics of various BPS states. We first describe the characteristic properties of the so-called 1/2 and 1/4 BPS states on the D3 brane, which can be interpreted as F/D-strings ending on a D3-brane in Type IIB string theory picture. We then study the response of the BPS states to low energy excitations of massless fields on the brane, the scalar fields representing the shape fluctuation of the brane and U(1) gauge fields describing the open string excitations on the D-brane. This leads to an identification of interactions between BPS states including the static potentials and the kinetic interactions.
| 8.247559
| 7.538021
| 8.423431
| 7.575807
| 7.397147
| 7.319979
| 7.265805
| 7.953173
| 7.378521
| 9.302317
| 7.486475
| 7.663162
| 8.285791
| 7.680641
| 7.72507
| 7.520827
| 7.658639
| 7.651753
| 7.697148
| 8.344943
| 7.553374
|
hep-th/9712081
|
Jose Carlos Brunelli
|
J. C. Brunelli and Ashok Das
|
A Lax Representation for the Born-Infeld Equation
|
Latex, 14 pages, Note and references added, incorporating connection
with hyperbolic Monge-Amp\`ere equations
|
Phys.Lett. B426 (1998) 57-63
|
10.1016/S0370-2693(98)00265-2
| null |
hep-th nlin.SI solv-int
| null |
We study the Born-Infeld equation from a Lagrangian point of view emphasizing
the duality symmetry present in such systems. We obtain the Hamiltonian
formulation directly from the Lagrangian. We also show that this system admits
a dispersionless nonstandard Lax representation which directly leads to all the
conserved charges (including the ones not previously obtained). We also present
the generating function for these charges and point out various other
properties of this system.
|
[
{
"created": "Mon, 8 Dec 1997 16:47:45 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Jan 1998 11:16:52 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Brunelli",
"J. C.",
""
],
[
"Das",
"Ashok",
""
]
] |
We study the Born-Infeld equation from a Lagrangian point of view emphasizing the duality symmetry present in such systems. We obtain the Hamiltonian formulation directly from the Lagrangian. We also show that this system admits a dispersionless nonstandard Lax representation which directly leads to all the conserved charges (including the ones not previously obtained). We also present the generating function for these charges and point out various other properties of this system.
| 10.544477
| 9.952975
| 10.215827
| 9.443022
| 9.446052
| 11.019472
| 9.740413
| 9.853491
| 9.907172
| 9.93839
| 9.410687
| 9.833995
| 10.664459
| 9.964107
| 10.166502
| 9.675642
| 9.642219
| 9.601967
| 9.71666
| 10.41379
| 9.636535
|
2204.12239
|
Zi-Qing Xiao
|
Zi-Qing Xiao, Run-Qiu Yang
|
On Penrose inequality in holography
|
15 pages, 3 figures
| null |
10.1103/PhysRevD.107.026013
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The recent holographic deduction of Penrose inequality only assumes null
energy condition while the weak or dominant energy condition is required in
usual geometric proof. This paper makes a step toward filling up gap between
these two approaches. For planar/spherically symmetrically asymptotically
Schwarzschild anti-de Sitter (AdS) black holes, we give a purely geometric
proof for Penrose inequality by assuming the null energy condition. We also
point out that two naive generalizations of charged Penrose inequality are not
generally true and propose two new candidates. When the spacetime is
asymptotically AdS but not Schwarzschild-AdS, the total mass is defined
according to holographic renormalization and depends on scheme of quantization.
In this case, the holographic argument implies that the Penrose inequality
should still be valid but this paper use concrete example to show that whether
the Penrose inequality holds or not will depend on what kind of quantization
scheme we employ.
|
[
{
"created": "Tue, 26 Apr 2022 11:43:47 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Aug 2022 07:50:42 GMT",
"version": "v2"
}
] |
2023-02-01
|
[
[
"Xiao",
"Zi-Qing",
""
],
[
"Yang",
"Run-Qiu",
""
]
] |
The recent holographic deduction of Penrose inequality only assumes null energy condition while the weak or dominant energy condition is required in usual geometric proof. This paper makes a step toward filling up gap between these two approaches. For planar/spherically symmetrically asymptotically Schwarzschild anti-de Sitter (AdS) black holes, we give a purely geometric proof for Penrose inequality by assuming the null energy condition. We also point out that two naive generalizations of charged Penrose inequality are not generally true and propose two new candidates. When the spacetime is asymptotically AdS but not Schwarzschild-AdS, the total mass is defined according to holographic renormalization and depends on scheme of quantization. In this case, the holographic argument implies that the Penrose inequality should still be valid but this paper use concrete example to show that whether the Penrose inequality holds or not will depend on what kind of quantization scheme we employ.
| 10.915286
| 11.586381
| 10.636248
| 9.987424
| 11.119896
| 11.023758
| 11.237935
| 10.276564
| 10.566488
| 11.163719
| 10.474762
| 10.439176
| 10.740287
| 10.283865
| 10.982224
| 10.513174
| 10.497192
| 10.756731
| 10.635359
| 10.627759
| 10.934815
|
1403.4805
|
Ralph Blumenhagen
|
Ralph Blumenhagen
|
A Course on Noncommutative Geometry in String Theory
|
18 pages, contribution to the proceedings of the Workshop on
Noncommutative Field Theory and Gravity, September 8 - 15, 2013, Corfu,
Greece, v2: refs. added
| null |
10.1002/prop.201400014
|
MPP-2014-54
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this pedagogical mini course the basics of the derivation of the
noncommutative structures appearing in string theory are reviewed. First we
discuss the well established appearance of the noncommutative Moyal-Weyl
star-product in the correlation functions of open string vertex operators on a
magnetized D-brane. Second, we will review the most recent attempts to
generalize these concepts to the closed string moving in a nongeometric flux
background.
|
[
{
"created": "Wed, 19 Mar 2014 14:11:24 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Apr 2014 08:17:26 GMT",
"version": "v2"
}
] |
2016-01-20
|
[
[
"Blumenhagen",
"Ralph",
""
]
] |
In this pedagogical mini course the basics of the derivation of the noncommutative structures appearing in string theory are reviewed. First we discuss the well established appearance of the noncommutative Moyal-Weyl star-product in the correlation functions of open string vertex operators on a magnetized D-brane. Second, we will review the most recent attempts to generalize these concepts to the closed string moving in a nongeometric flux background.
| 9.766974
| 9.0138
| 9.970582
| 8.664086
| 8.590744
| 8.561888
| 9.116297
| 7.976688
| 7.992323
| 9.948921
| 8.449764
| 8.649988
| 9.189441
| 8.787516
| 8.496892
| 8.757571
| 8.529569
| 8.631392
| 8.585265
| 9.335237
| 8.490582
|
1108.5131
|
Chong-Sun Chu
|
Chong-Sun Chu
|
A Theory of Non-Abelian Tensor Gauge Field with Non-Abelian Gauge
Symmetry G x G
|
18 pages. LaTeX. V2: references and a comment added v3: published
version
| null | null |
DCPT-11/43
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Chern-Simon action of the ABJM theory is not gauge invariant in the
presence of a boundary. In the paper arXiv:0909.2333, this was shown to imply
the existence of a Kac-Moody symmetry on the theory of multiple self-dual
strings. In this paper we conjecture that the Kac-Moody symmetry induces a
U(N)x U(N) gauge symmetry in the theory of N coincident M5-branes. As a start,
we construct this G x G gauge symmetry algebra structure which naturally
includes the tensor gauge transformation for a non-abelian 2-form tensor gauge
field. This new G x G gauge structure allows us to write down a theory of a
non-abelian tensor gauge field readily. For application to multiple M5-branes,
we note that the field content of the G x G non-abelian tensor gauge theory can
be fitted nicely as (1,0) supermultiplets; and we suggest a construction of the
theory of multiple M5-branes with manifest (1,0) supersymmetry.
|
[
{
"created": "Thu, 25 Aug 2011 16:48:03 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Sep 2011 14:55:31 GMT",
"version": "v2"
},
{
"created": "Wed, 26 Sep 2012 14:48:00 GMT",
"version": "v3"
}
] |
2012-09-27
|
[
[
"Chu",
"Chong-Sun",
""
]
] |
The Chern-Simon action of the ABJM theory is not gauge invariant in the presence of a boundary. In the paper arXiv:0909.2333, this was shown to imply the existence of a Kac-Moody symmetry on the theory of multiple self-dual strings. In this paper we conjecture that the Kac-Moody symmetry induces a U(N)x U(N) gauge symmetry in the theory of N coincident M5-branes. As a start, we construct this G x G gauge symmetry algebra structure which naturally includes the tensor gauge transformation for a non-abelian 2-form tensor gauge field. This new G x G gauge structure allows us to write down a theory of a non-abelian tensor gauge field readily. For application to multiple M5-branes, we note that the field content of the G x G non-abelian tensor gauge theory can be fitted nicely as (1,0) supermultiplets; and we suggest a construction of the theory of multiple M5-branes with manifest (1,0) supersymmetry.
| 7.928542
| 8.18276
| 9.283133
| 7.337193
| 8.028855
| 7.506502
| 7.625813
| 7.795221
| 7.765188
| 9.540217
| 7.236301
| 7.585463
| 8.222002
| 7.377864
| 7.60788
| 7.766532
| 7.735424
| 7.608684
| 7.526334
| 7.912057
| 7.568276
|
hep-th/0404218
|
Lepe Samuel
|
Norman Cruz and Samuel Lepe
|
On the thermal description of the BTZ black holes
|
7 pages. Accepted by Phys. Lett. B
|
Phys.Lett. B593 (2004) 235-241
|
10.1016/j.physletb.2004.04.072
|
GACG-04/08
|
hep-th
| null |
We investigate the limitations on the thermal description of three
dimensional BTZ black holes. We derive on physical grounds three basic mass
scales that are relevant to characterize these limitations. The Planck mass in
2+1 dimensions indicate the limits where the black hole can emit Hawking's
radiation. We show that the back reaction is meaningless for spinless BTZ black
hole. For stationary BTZ black holes the nearly extreme case is analyzed
showing that may occur a break down of its description as a thermal object.
|
[
{
"created": "Tue, 27 Apr 2004 21:49:16 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Cruz",
"Norman",
""
],
[
"Lepe",
"Samuel",
""
]
] |
We investigate the limitations on the thermal description of three dimensional BTZ black holes. We derive on physical grounds three basic mass scales that are relevant to characterize these limitations. The Planck mass in 2+1 dimensions indicate the limits where the black hole can emit Hawking's radiation. We show that the back reaction is meaningless for spinless BTZ black hole. For stationary BTZ black holes the nearly extreme case is analyzed showing that may occur a break down of its description as a thermal object.
| 20.704014
| 20.869223
| 18.806301
| 18.091833
| 21.350508
| 20.521717
| 19.617357
| 19.37742
| 19.2428
| 19.560125
| 19.345652
| 20.371464
| 19.846338
| 19.207554
| 18.81871
| 19.233065
| 19.357796
| 20.007378
| 19.957811
| 19.868505
| 19.028242
|
hep-th/0309215
|
Plamen Bozhilov
|
P. Bozhilov
|
M2-brane Solutions in AdS_7xS^4
|
LaTeX, 18 pages, no figures; V2: cosmetic changes to match the
version published in JHEP
|
JHEP 0310 (2003) 032
|
10.1088/1126-6708/2003/10/032
| null |
hep-th
| null |
We consider different M2-brane configurations in the M-theory AdS_7xS^4
background, with field theory dual A_{N-1}(2,0) SCFT. New membrane solutions
are found and compared with the recently obtained ones.
|
[
{
"created": "Tue, 23 Sep 2003 09:22:24 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Nov 2003 09:30:32 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Bozhilov",
"P.",
""
]
] |
We consider different M2-brane configurations in the M-theory AdS_7xS^4 background, with field theory dual A_{N-1}(2,0) SCFT. New membrane solutions are found and compared with the recently obtained ones.
| 12.905227
| 9.894874
| 14.653016
| 10.831339
| 9.84701
| 8.001247
| 9.371223
| 8.63012
| 10.090809
| 16.998129
| 9.974272
| 9.762647
| 12.285765
| 9.710557
| 10.260433
| 9.787427
| 10.237987
| 10.117146
| 10.411922
| 12.083194
| 10.071809
|
1903.06757
|
Jean-Luc Lehners
|
Alice Di Tucci and Jean-Luc Lehners
|
The No-Boundary Proposal as a Path Integral with Robin Boundary
Conditions
|
5 pages, 3 figures, v2: replaced with published version
|
Phys. Rev. Lett. 122, 201302 (2019)
|
10.1103/PhysRevLett.122.201302
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Realising the no-boundary proposal of Hartle and Hawking as a consistent
gravitational path integral has been a long-standing puzzle. In particular, it
was demonstrated by Feldbrugge et al. that the sum over all universes starting
from zero size results in an unstable saddle point geometry. Here we show that
in the context of gravity with a positive cosmological constant, path integrals
with a specific family of Robin boundary conditions overcome this problem.
These path integrals are manifestly convergent and are approximated by stable
Hartle-Hawking saddle point geometries. The price to pay is that the off-shell
geometries do not start at zero size. The Robin boundary conditions may be
interpreted as an initial state with Euclidean momentum, with the quantum
uncertainty shared between initial size and momentum.
|
[
{
"created": "Fri, 15 Mar 2019 19:00:38 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Jun 2019 08:46:47 GMT",
"version": "v2"
}
] |
2019-06-04
|
[
[
"Di Tucci",
"Alice",
""
],
[
"Lehners",
"Jean-Luc",
""
]
] |
Realising the no-boundary proposal of Hartle and Hawking as a consistent gravitational path integral has been a long-standing puzzle. In particular, it was demonstrated by Feldbrugge et al. that the sum over all universes starting from zero size results in an unstable saddle point geometry. Here we show that in the context of gravity with a positive cosmological constant, path integrals with a specific family of Robin boundary conditions overcome this problem. These path integrals are manifestly convergent and are approximated by stable Hartle-Hawking saddle point geometries. The price to pay is that the off-shell geometries do not start at zero size. The Robin boundary conditions may be interpreted as an initial state with Euclidean momentum, with the quantum uncertainty shared between initial size and momentum.
| 9.469459
| 9.395376
| 9.254706
| 8.885716
| 9.82252
| 10.084309
| 9.658607
| 8.674166
| 9.626975
| 10.037265
| 9.97231
| 8.518247
| 8.62585
| 8.491995
| 8.656759
| 8.643459
| 8.698846
| 8.387421
| 8.771585
| 9.16271
| 8.678473
|
1110.0488
|
Federico Galli
|
V. Balasubramanian, A. Bernamonti, N. Copland, B. Craps and F. Galli
|
Thermalization of mutual and tripartite information in strongly coupled
two dimensional conformal field theories
|
12 pages, 8 figures, v2: cosmetic changes to match the published
version
|
PhysRevD.84.105017,2011
|
10.1103/PhysRevD.84.105017
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The mutual and tripartite information between pairs and triples of disjoint
regions in a quantum field theory are sensitive probes of the spread of
correlations in an equilibrating system. We compute these quantities in
strongly coupled two-dimensional conformal field theories with a gravity dual
following the homogenous deposition of energy. The injected energy is modeled
in anti-de Sitter space as an infalling shell, and the information shared by
disjoint intervals is computed in terms of geodesic lengths in this background.
For given widths and separation of the intervals, the mutual information
typically starts at its vacuum value, then increases in time to reach a
maximum, and then declines to the value at thermal equilibrium. A simple
causality argument qualitatively explains this behavior. The tripartite
information is generically non-zero and time-dependent throughout the process.
This contrasts with (but does not contradict) the time-independent tripartite
information one finds after a two-dimensional quantum quench in the limit of
large time and distance scales compared to the initial inverse mass gap.
|
[
{
"created": "Mon, 3 Oct 2011 20:27:53 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Dec 2011 18:24:52 GMT",
"version": "v2"
}
] |
2011-12-05
|
[
[
"Balasubramanian",
"V.",
""
],
[
"Bernamonti",
"A.",
""
],
[
"Copland",
"N.",
""
],
[
"Craps",
"B.",
""
],
[
"Galli",
"F.",
""
]
] |
The mutual and tripartite information between pairs and triples of disjoint regions in a quantum field theory are sensitive probes of the spread of correlations in an equilibrating system. We compute these quantities in strongly coupled two-dimensional conformal field theories with a gravity dual following the homogenous deposition of energy. The injected energy is modeled in anti-de Sitter space as an infalling shell, and the information shared by disjoint intervals is computed in terms of geodesic lengths in this background. For given widths and separation of the intervals, the mutual information typically starts at its vacuum value, then increases in time to reach a maximum, and then declines to the value at thermal equilibrium. A simple causality argument qualitatively explains this behavior. The tripartite information is generically non-zero and time-dependent throughout the process. This contrasts with (but does not contradict) the time-independent tripartite information one finds after a two-dimensional quantum quench in the limit of large time and distance scales compared to the initial inverse mass gap.
| 11.191794
| 10.477982
| 11.282385
| 9.631062
| 10.450933
| 10.225038
| 10.510929
| 9.436962
| 9.291287
| 12.643934
| 9.758357
| 10.458509
| 10.684481
| 10.140221
| 10.101173
| 10.174492
| 10.126505
| 10.431813
| 9.927443
| 10.296778
| 10.305214
|
hep-th/9810125
|
Robert Marnelius
|
Robert Marnelius, Niclas Sandstrom
|
Basics of BRST quantization on inner product spaces
|
32 pages,Latexfile,improved presentation and several new remarks
|
Int.J.Mod.Phys. A15 (2000) 833-868
|
10.1142/S0217751X00000409
|
ITP-Goteborg 98-16
|
hep-th
| null |
There is an elaborated abstract form of BRST quantization on inner product
spaces within the operator formalism which leads to BRST invariant states of
the form |ph>=e^{[Q,\psi]} |\phi> where \psi is a gauge fixing fermion, and
where |\phi> is a BRST invariant state determined by simple hermitian
conditions. These state representations are closely related to the path
integral formulation. Here we analyse the basics of this approach in detail.
The freedom in the choice of \psi and |\phi> as well as their properties under
gauge transformations are explicitly determined for simple abelian models. In
all considered cases SL(2,R) is shown both to be a natural extended gauge
symmetry and to be useful to determine |ph>. The results are also applied to
nonabelian models.
|
[
{
"created": "Fri, 16 Oct 1998 10:27:22 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Aug 1999 09:05:07 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Marnelius",
"Robert",
""
],
[
"Sandstrom",
"Niclas",
""
]
] |
There is an elaborated abstract form of BRST quantization on inner product spaces within the operator formalism which leads to BRST invariant states of the form |ph>=e^{[Q,\psi]} |\phi> where \psi is a gauge fixing fermion, and where |\phi> is a BRST invariant state determined by simple hermitian conditions. These state representations are closely related to the path integral formulation. Here we analyse the basics of this approach in detail. The freedom in the choice of \psi and |\phi> as well as their properties under gauge transformations are explicitly determined for simple abelian models. In all considered cases SL(2,R) is shown both to be a natural extended gauge symmetry and to be useful to determine |ph>. The results are also applied to nonabelian models.
| 13.203026
| 11.110937
| 14.393455
| 11.759231
| 12.713292
| 12.085761
| 12.058415
| 11.167275
| 12.070122
| 15.335524
| 11.619189
| 11.627767
| 12.825138
| 11.760183
| 12.579018
| 11.951658
| 11.632477
| 11.695341
| 11.79936
| 13.146025
| 11.874224
|
hep-th/9710179
|
Dr R. Szabo
|
L. Cooper, I.I. Kogan and R.J. Szabo
|
Mirror Maps in Chern-Simons Gauge Theory
|
40 pages LaTeX, 4 postscript files, uses psfig.sty; minor textual
changes, typos corrected, references added
|
Annals Phys. 268 (1998) 61-104
|
10.1006/aphy.1998.5832
|
OUTP-97-57P
|
hep-th cond-mat
| null |
We describe mirror symmetry in N=2 superconformal field theories in terms of
a dynamical topology changing process of the principal fiber bundle associated
with a topological membrane. We show that the topological symmetries of
Calabi-Yau sigma-models can be obtained from discrete geometric transformations
of compact Chern-Simons gauge theory coupled to charged matter fields. We
demonstrate that the appearence of magnetic monopole-instantons, which
interpolate between topologically inequivalent vacua of the gauge theory,
implies that the discrete symmetry group of the worldsheet theory is realized
kinematically in three dimensions as the magnetic flux symmetry group. From
this we construct the mirror map and show that it corresponds to the
interchange of topologically non-trivial matter field and gauge degrees of
freedom. We also apply the mirror transformation to the mean field theory of
the quantum Hall effect. We show that it maps the Jain hierarchy into a new
hierarchy of states in which the lowest composite fermions have the same
filling fractions.
|
[
{
"created": "Thu, 23 Oct 1997 19:17:25 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Mar 1998 18:00:59 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Cooper",
"L.",
""
],
[
"Kogan",
"I. I.",
""
],
[
"Szabo",
"R. J.",
""
]
] |
We describe mirror symmetry in N=2 superconformal field theories in terms of a dynamical topology changing process of the principal fiber bundle associated with a topological membrane. We show that the topological symmetries of Calabi-Yau sigma-models can be obtained from discrete geometric transformations of compact Chern-Simons gauge theory coupled to charged matter fields. We demonstrate that the appearence of magnetic monopole-instantons, which interpolate between topologically inequivalent vacua of the gauge theory, implies that the discrete symmetry group of the worldsheet theory is realized kinematically in three dimensions as the magnetic flux symmetry group. From this we construct the mirror map and show that it corresponds to the interchange of topologically non-trivial matter field and gauge degrees of freedom. We also apply the mirror transformation to the mean field theory of the quantum Hall effect. We show that it maps the Jain hierarchy into a new hierarchy of states in which the lowest composite fermions have the same filling fractions.
| 10.577745
| 11.002855
| 11.515119
| 9.733312
| 10.397696
| 9.782089
| 9.967138
| 9.519835
| 9.710034
| 11.182065
| 9.628543
| 9.588247
| 10.58459
| 9.821035
| 9.643772
| 9.681406
| 9.976346
| 9.169727
| 9.606825
| 10.125564
| 9.373797
|
hep-th/0406172
|
Peng Wang
|
Peng Wang, Xin-He Meng (Nankai U.)
|
Note on the Radion Effective Potential in the Presence of Branes
|
6 pages, no figures. Some discussion clarified, conclusion unchanged.
To appear in Phys. Rev. D
|
Phys.Rev. D70 (2004) 087901
|
10.1103/PhysRevD.70.087901
| null |
hep-th gr-qc hep-ph
| null |
In String Theory compactification, branes are often invoked to get the
desired form of the radion effective potential. Current popular way of doing
this assumes that the introduction of branes will not modify the background
geometry in an important way. In this paper, we show by an explicit example
that at least in the codimension 2 case, the gravitational backreaction of the
brane cannot be neglected in deriving the radion effective potential. Actually,
in this case, the presence of branes will have no effect on the dynamics of
radion.
|
[
{
"created": "Mon, 21 Jun 2004 08:56:22 GMT",
"version": "v1"
},
{
"created": "Sun, 12 Sep 2004 10:25:15 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Wang",
"Peng",
"",
"Nankai U."
],
[
"Meng",
"Xin-He",
"",
"Nankai U."
]
] |
In String Theory compactification, branes are often invoked to get the desired form of the radion effective potential. Current popular way of doing this assumes that the introduction of branes will not modify the background geometry in an important way. In this paper, we show by an explicit example that at least in the codimension 2 case, the gravitational backreaction of the brane cannot be neglected in deriving the radion effective potential. Actually, in this case, the presence of branes will have no effect on the dynamics of radion.
| 10.098083
| 8.35974
| 8.80848
| 8.129324
| 8.317103
| 8.53125
| 8.930087
| 9.131439
| 8.971556
| 8.905106
| 9.061922
| 8.941716
| 8.896452
| 8.596494
| 8.791218
| 8.670577
| 8.903997
| 8.753923
| 8.491851
| 8.599323
| 9.008051
|
2103.08596
|
Michael Knyazev
|
M. A. Knyazev
|
Kink-like solution for the Lorentz0violating \phi^4 theory equation of
motion with dissipation
|
7 pages
| null | null | null |
hep-th nlin.PS nlin.SI
|
http://creativecommons.org/licenses/by/4.0/
|
A (1+1)-dimension equation of motion for \phi^4 theory is considered for the
case of simultaneou taking into account the processes of dissipation and
violation the Lorentz-invariance. A topological non-trivial solution of
one-kink type for this equation is constructed in an analytical form. The
modofied Hirota method for a solving the nonlinear partial differential
equations is applied. A modification of the method led to the special
conditions on parameters of the model and solution.
|
[
{
"created": "Mon, 15 Mar 2021 12:54:27 GMT",
"version": "v1"
}
] |
2021-03-17
|
[
[
"Knyazev",
"M. A.",
""
]
] |
A (1+1)-dimension equation of motion for \phi^4 theory is considered for the case of simultaneou taking into account the processes of dissipation and violation the Lorentz-invariance. A topological non-trivial solution of one-kink type for this equation is constructed in an analytical form. The modofied Hirota method for a solving the nonlinear partial differential equations is applied. A modification of the method led to the special conditions on parameters of the model and solution.
| 16.427479
| 15.242851
| 16.241159
| 14.836167
| 15.837565
| 14.575051
| 15.469081
| 15.870428
| 13.123243
| 16.595263
| 13.718933
| 14.402902
| 14.734196
| 14.369053
| 14.304749
| 14.592852
| 13.723323
| 14.262478
| 13.617923
| 14.066186
| 14.129366
|
1002.1831
|
Victor Mikhaylov
|
Victor Mikhaylov
|
On the Fermionic Frequencies of Circular Strings
|
13 pages, 1 figure
|
J.Phys.A43:335401,2010
|
10.1088/1751-8113/43/33/335401
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We revisit the semiclassical computation of the fluctuation spectrum around
different circular string solutions in AdS_5xS^5 and AdS_4xCP^3, starting from
the Green-Schwarz action. It has been known that the results for these
frequencies obtained from the algebraic curve and from the worldsheet
computations sometimes do not agree. In particular, different methods give
different results for the half-integer shifts in the mode numbers of the
frequencies. We find that these discrepancies can be removed if one carefully
takes into account the transition matrices in the spin bundle over the target
space.
|
[
{
"created": "Tue, 9 Feb 2010 11:59:32 GMT",
"version": "v1"
}
] |
2014-11-20
|
[
[
"Mikhaylov",
"Victor",
""
]
] |
We revisit the semiclassical computation of the fluctuation spectrum around different circular string solutions in AdS_5xS^5 and AdS_4xCP^3, starting from the Green-Schwarz action. It has been known that the results for these frequencies obtained from the algebraic curve and from the worldsheet computations sometimes do not agree. In particular, different methods give different results for the half-integer shifts in the mode numbers of the frequencies. We find that these discrepancies can be removed if one carefully takes into account the transition matrices in the spin bundle over the target space.
| 9.884552
| 8.024911
| 10.72635
| 9.116345
| 8.890852
| 9.246001
| 8.297436
| 8.192271
| 7.734684
| 11.088467
| 8.515916
| 8.578237
| 9.991323
| 8.682455
| 8.793855
| 8.805525
| 8.615797
| 9.020421
| 8.858086
| 10.912169
| 8.707241
|
hep-th/0208043
|
Omer Faruk Dayi
|
O.F. Dayi and B. Yapiskan
|
Hamiltonian formulation of Noncommutative D3--Brane
|
15 pages, no figures
|
JHEP 0210 (2002) 022
|
10.1088/1126-6708/2002/10/022
| null |
hep-th
| null |
Lagrangians of the Abelian Gauge Theory and its dual are related in terms of
a shifted action. We show that in d=4 constrained Hamiltonian formulation of
the shifted action yields Hamiltonian description of the dual theory, without
referring to its Lagrangian. We apply this method, at the first order in the
noncommutativity parameter theta, to the noncommutative U(1) gauge theory
possessing spatial noncommutativity. Its dual theory is effectively a
space--time noncommutative U(1) gauge theory. However, we obtain a Hamiltonian
formulation where time is commuting. Space-time noncommutative D3--brane
worldvolume Hamiltonian is derived as the dual of space noncommutative U(1)
gauge theory. We show that a BPS like bound can be obtained and it is saturated
for configurations which are the same with the ordinary D3-brane BIon and dyon
solutions.
|
[
{
"created": "Tue, 6 Aug 2002 10:27:54 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Dayi",
"O. F.",
""
],
[
"Yapiskan",
"B.",
""
]
] |
Lagrangians of the Abelian Gauge Theory and its dual are related in terms of a shifted action. We show that in d=4 constrained Hamiltonian formulation of the shifted action yields Hamiltonian description of the dual theory, without referring to its Lagrangian. We apply this method, at the first order in the noncommutativity parameter theta, to the noncommutative U(1) gauge theory possessing spatial noncommutativity. Its dual theory is effectively a space--time noncommutative U(1) gauge theory. However, we obtain a Hamiltonian formulation where time is commuting. Space-time noncommutative D3--brane worldvolume Hamiltonian is derived as the dual of space noncommutative U(1) gauge theory. We show that a BPS like bound can be obtained and it is saturated for configurations which are the same with the ordinary D3-brane BIon and dyon solutions.
| 9.046583
| 9.213199
| 9.222955
| 8.495584
| 8.993199
| 8.503013
| 9.404125
| 9.016203
| 8.426326
| 10.432873
| 8.659813
| 8.465723
| 8.811829
| 8.405737
| 8.595099
| 8.682885
| 8.663898
| 8.633862
| 8.641681
| 8.857494
| 8.337571
|
2008.03376
|
Francisco Fern\'andez Dr.
|
Francisco M. Fern\'andez
|
Comment on: "Relativistic quantum dynamics of a charged particle in
cosmic string spacetime in the presence of magnetic field and scalar
potential''. Eur. Phys. J. C (2012) 72:2051
| null | null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyze the results of a paper on ``Relativistic quantum dynamics of a
charged particle in cosmic string spacetime in the presence of magnetic field
and scalar potential''. We show that the authors did not obtain the spectrum of
the eigenvalue equation but only one eigenvalue for a specific relationship
between model parameters. In particular, the existence of allowed cyclotron
frequencies conjectured by the authors is a mere artifact of the truncation
condition used to obtain exact solutions to the radial eigenvalue equation.
|
[
{
"created": "Wed, 15 Jul 2020 19:00:27 GMT",
"version": "v1"
}
] |
2020-08-11
|
[
[
"Fernández",
"Francisco M.",
""
]
] |
We analyze the results of a paper on ``Relativistic quantum dynamics of a charged particle in cosmic string spacetime in the presence of magnetic field and scalar potential''. We show that the authors did not obtain the spectrum of the eigenvalue equation but only one eigenvalue for a specific relationship between model parameters. In particular, the existence of allowed cyclotron frequencies conjectured by the authors is a mere artifact of the truncation condition used to obtain exact solutions to the radial eigenvalue equation.
| 11.392683
| 11.718458
| 11.656936
| 10.94558
| 11.356181
| 11.461105
| 13.079228
| 10.897261
| 10.139312
| 10.040056
| 10.863381
| 10.49993
| 11.357001
| 10.436883
| 10.438921
| 10.794731
| 10.543955
| 10.163596
| 10.658563
| 10.656387
| 10.646409
|
1009.2947
|
Yuko Urakawa
|
Yuko Urakawa and Takahiro Tanaka
|
Natural selection of inflationary vacuum required by infra-red
regularity and gauge-invariance
|
12 pages; v3: several descriptions are added; v4: accepted version in
PTP
|
Prog.Theor.Phys.125:1067-1089,2011
|
10.1143/PTP.125.1067
|
YITP-10-81
|
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It has been an issue of debate whether the inflationary infrared(IR)
divergences are physical or not. Our claim is that, at least, in single-field
models, the answer is "No," and that the spurious IR divergence is originating
from the careless treatment of the gauge modes. In our previous work we have
explicitly shown that the IR divergence is absent in the genuine
gauge-invariant quantity at the leading order in the slow-roll approximation.
We extend our argument to include higher-order slow-roll corrections and the
contributions from the gravitational waves. The key issue is to assure the
gauge invariance in the choice of the initial vacuum, which is a new concept
that has not been considered in conventional calculations.
|
[
{
"created": "Wed, 15 Sep 2010 15:00:23 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Oct 2010 15:14:47 GMT",
"version": "v2"
},
{
"created": "Thu, 10 Feb 2011 23:11:36 GMT",
"version": "v3"
},
{
"created": "Sat, 21 May 2011 15:32:53 GMT",
"version": "v4"
}
] |
2011-08-19
|
[
[
"Urakawa",
"Yuko",
""
],
[
"Tanaka",
"Takahiro",
""
]
] |
It has been an issue of debate whether the inflationary infrared(IR) divergences are physical or not. Our claim is that, at least, in single-field models, the answer is "No," and that the spurious IR divergence is originating from the careless treatment of the gauge modes. In our previous work we have explicitly shown that the IR divergence is absent in the genuine gauge-invariant quantity at the leading order in the slow-roll approximation. We extend our argument to include higher-order slow-roll corrections and the contributions from the gravitational waves. The key issue is to assure the gauge invariance in the choice of the initial vacuum, which is a new concept that has not been considered in conventional calculations.
| 9.65846
| 7.632482
| 9.300791
| 8.206362
| 8.303258
| 7.818162
| 8.447781
| 7.843469
| 7.845077
| 9.30311
| 9.038712
| 8.378715
| 8.627602
| 8.437218
| 8.578007
| 8.49468
| 8.405159
| 8.257984
| 8.250853
| 8.497605
| 8.332416
|
1605.06725
|
John Klauder
|
John R. Klauder
|
Mixed Models: Combining Incompatible Scalar Models in Any Spacetime
Dimension
|
14 pages
| null |
10.1142/S0217751X17500014
| null |
hep-th math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Traditionally, covariant scalar field theory models are either super
renormalizable, strictly renormalizable, or nonrenormalizable. The goal of
`Mixed Models' is to make sense of sums of these distinct examples, e.g.,
$g\varphi^4_3+g'\varphi^6_3+g''\varphi^8_3$, which includes an example of each
kind for spacetime dimension $n=3$. We show how the several interactions such
mixed models have may be turned on and off in any order without any
difficulties. Analogous results are shown for $g\varphi^4_n+g'\varphi^{138}_n$,
etc., for all $n\ge3$. Different categories hold for $n=2$ such as, e.g., ${g
P(\varphi)_2+g' N\!P}(\varphi)_2$, that involve polynomial ($P$) and suitable
nonpolynomial ($N\!P$) interactions, etc. Analogous situations for $n=1$ (time
alone) offer simple `toy' examples of how such mixed models may be constructed.
|
[
{
"created": "Sun, 22 May 2016 01:46:42 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Jan 2017 22:54:10 GMT",
"version": "v2"
}
] |
2017-02-01
|
[
[
"Klauder",
"John R.",
""
]
] |
Traditionally, covariant scalar field theory models are either super renormalizable, strictly renormalizable, or nonrenormalizable. The goal of `Mixed Models' is to make sense of sums of these distinct examples, e.g., $g\varphi^4_3+g'\varphi^6_3+g''\varphi^8_3$, which includes an example of each kind for spacetime dimension $n=3$. We show how the several interactions such mixed models have may be turned on and off in any order without any difficulties. Analogous results are shown for $g\varphi^4_n+g'\varphi^{138}_n$, etc., for all $n\ge3$. Different categories hold for $n=2$ such as, e.g., ${g P(\varphi)_2+g' N\!P}(\varphi)_2$, that involve polynomial ($P$) and suitable nonpolynomial ($N\!P$) interactions, etc. Analogous situations for $n=1$ (time alone) offer simple `toy' examples of how such mixed models may be constructed.
| 10.795995
| 11.497341
| 11.113042
| 11.236678
| 11.600399
| 11.413138
| 11.823637
| 11.14379
| 11.309736
| 12.440052
| 10.491427
| 10.817984
| 10.731092
| 10.411424
| 10.495749
| 10.422928
| 10.373128
| 10.419394
| 10.407902
| 10.945743
| 10.07055
|
1511.08187
|
Philipp Kleinert
|
Ville Keranen, Philipp Kleinert
|
Thermalization of Wightman functions in AdS/CFT and quasinormal modes
|
15 pages, 12 figures; v2: typos corrected, conclusions clarified; v3:
modified section IV, added Appendices A-D, as published in PRD
|
Phys. Rev. D 94, 026010 (2016)
|
10.1103/PhysRevD.94.026010
|
OUTP-15-29P
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the time evolution of Wightman two-point functions of scalar fields
in AdS$_3$-Vaidya, a spacetime undergoing gravitational collapse. In the
boundary field theory, the collapse corresponds to a quench process where the
dual 1+1 dimensional CFT is taken out of equilibrium and subsequently
thermalizes. From the two-point function, we extract an effective occupation
number in the boundary theory and study how it approaches the thermal
Bose-Einstein distribution. We find that the Wightman functions, as well as the
effective occupation numbers, thermalize with a rate set by the lowest
quasinormal mode of the scalar field in the BTZ black hole background. We give
a heuristic argument for the quasinormal decay, which is expected to apply to
more general Vaidya spacetimes also in higher dimensions. This suggests a
unified picture in which thermalization times of one- and two-point functions
are determined by the lowest quasinormal mode. Finally, we study how these
results compare to previous calculations of two-point functions based on the
geodesic approximation.
|
[
{
"created": "Wed, 25 Nov 2015 20:19:06 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Dec 2015 15:57:43 GMT",
"version": "v2"
},
{
"created": "Wed, 10 Aug 2016 16:22:57 GMT",
"version": "v3"
}
] |
2016-08-11
|
[
[
"Keranen",
"Ville",
""
],
[
"Kleinert",
"Philipp",
""
]
] |
We study the time evolution of Wightman two-point functions of scalar fields in AdS$_3$-Vaidya, a spacetime undergoing gravitational collapse. In the boundary field theory, the collapse corresponds to a quench process where the dual 1+1 dimensional CFT is taken out of equilibrium and subsequently thermalizes. From the two-point function, we extract an effective occupation number in the boundary theory and study how it approaches the thermal Bose-Einstein distribution. We find that the Wightman functions, as well as the effective occupation numbers, thermalize with a rate set by the lowest quasinormal mode of the scalar field in the BTZ black hole background. We give a heuristic argument for the quasinormal decay, which is expected to apply to more general Vaidya spacetimes also in higher dimensions. This suggests a unified picture in which thermalization times of one- and two-point functions are determined by the lowest quasinormal mode. Finally, we study how these results compare to previous calculations of two-point functions based on the geodesic approximation.
| 6.197873
| 5.916273
| 6.242495
| 5.605246
| 5.644129
| 5.547598
| 5.653175
| 5.625815
| 5.72157
| 6.596683
| 5.807947
| 5.851806
| 5.96144
| 5.732986
| 5.855063
| 5.653128
| 5.707099
| 5.693655
| 5.794016
| 5.871878
| 5.836652
|
1401.1197
|
Luis Apolo
|
Luis Apolo and Massimo Porrati
|
Free boundary conditions and the AdS$_3$/CFT$_2$ correspondence
|
27 pages; v2: corrected sign of Kac-Moody level, added comments on
unitarity of the dual theory, added references, published version
|
JHEP 03 (2014) 116
|
10.1007/JHEP03(2014)116
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the recently proposed free boundary conditions for AdS$_3$ are
dual to two-dimensional quantum gravity in certain fixed gauges. In particular,
we note that an appropriate identification of the generator of Virasoro
transformations leads to a vanishing total central charge in agreement with the
theory at the boundary. We argue that this identification is necessary to match
the bulk and boundary generators of Virasoro transformations and for
consistency with the constraint equations.
|
[
{
"created": "Mon, 6 Jan 2014 20:53:33 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Apr 2014 00:05:34 GMT",
"version": "v2"
}
] |
2014-04-02
|
[
[
"Apolo",
"Luis",
""
],
[
"Porrati",
"Massimo",
""
]
] |
We show that the recently proposed free boundary conditions for AdS$_3$ are dual to two-dimensional quantum gravity in certain fixed gauges. In particular, we note that an appropriate identification of the generator of Virasoro transformations leads to a vanishing total central charge in agreement with the theory at the boundary. We argue that this identification is necessary to match the bulk and boundary generators of Virasoro transformations and for consistency with the constraint equations.
| 11.236391
| 10.896512
| 11.362312
| 10.136189
| 10.413906
| 10.329473
| 10.688037
| 10.694387
| 10.210168
| 13.444189
| 9.245717
| 9.364637
| 9.912422
| 9.278669
| 9.208919
| 9.842742
| 9.902401
| 9.582607
| 9.567978
| 10.16138
| 9.227094
|
hep-th/9308121
|
Christof Schmidhuber
|
Christof Schmidhuber, Caltech Ph.D. thesis
|
Extending the Theory of Random Surfaces
|
75 pages, Tex
| null | null | null |
hep-th
| null |
The theory of embedded random surfaces, equivalent to two--dimensional
quantum gravity coupled to matter, is reviewed, further developed and partly
generalized to four dimensions. It is shown that the action of the Liouville
field theory that describes random surfaces contains terms that have not been
noticed previously. These terms are used to explain the phase diagram of the
Sine--Gordon model coupled to gravity, in agreement with recent results from
lattice computations. It is also demonstrated how the methods of
two--dimensional quantum gravity can be applied to four--dimensional Euclidean
gravity in the limit of infinite Weyl coupling. Critical exponents are
predicted and an analog of the ``$c=1$ barrier'' of two--dimensional gravity is
derived.
|
[
{
"created": "Thu, 26 Aug 1993 15:04:13 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Schmidhuber",
"Christof",
""
],
[
"thesis",
"Caltech Ph. D.",
""
]
] |
The theory of embedded random surfaces, equivalent to two--dimensional quantum gravity coupled to matter, is reviewed, further developed and partly generalized to four dimensions. It is shown that the action of the Liouville field theory that describes random surfaces contains terms that have not been noticed previously. These terms are used to explain the phase diagram of the Sine--Gordon model coupled to gravity, in agreement with recent results from lattice computations. It is also demonstrated how the methods of two--dimensional quantum gravity can be applied to four--dimensional Euclidean gravity in the limit of infinite Weyl coupling. Critical exponents are predicted and an analog of the ``$c=1$ barrier'' of two--dimensional gravity is derived.
| 7.680332
| 7.131768
| 7.887912
| 6.978093
| 7.750098
| 7.20976
| 7.213747
| 6.777203
| 7.081196
| 8.031503
| 7.270396
| 6.727325
| 7.329411
| 6.941081
| 6.979215
| 6.840101
| 6.758049
| 6.834274
| 6.889087
| 7.210708
| 6.859454
|
2209.00008
|
Petr Kravchuk
|
Simon Caron-Huot, Murat Kologlu, Petr Kravchuk, David Meltzer, David
Simmons-Duffin
|
Detectors in weakly-coupled field theories
|
58 pages + appendices, 21 figure
| null |
10.1007/JHEP04(2023)014
|
CALT-TH 2022-31
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We initiate a study of asymptotic detector operators in weakly-coupled field
theories. These operators describe measurements that can be performed at future
null infinity in a collider experiment. In a conformal theory they can be
identified with light-ray operators, and thus have a direct relation to the
spectrum of the theory. After a general discussion of the underlying physical
picture, we show how infrared divergences of general detector operators can be
renormalized in perturbation theory, and how they give rise to detector
anomalous dimensions. We discuss in detail how this renormalization can be
performed at the intersections of the Regge trajectories where non-trivial
mixing occurs, which is related to the poles in anomalous dimensions at special
values of spin. Finally, we discuss novel horizontal trajectories in scalar
theories and show how they contribute to correlation functions. Our
calculations are done in the example of $\phi^4$ theory in $d=4-\epsilon$
dimensions, but the methods are applicable more broadly. At the Wilson-Fisher
fixed point our results include an explicit expression for the Pomeron
light-ray operator at two loops, as well as a prediction for the value of the
Regge intercept at five loops.
|
[
{
"created": "Wed, 31 Aug 2022 18:00:00 GMT",
"version": "v1"
}
] |
2023-04-26
|
[
[
"Caron-Huot",
"Simon",
""
],
[
"Kologlu",
"Murat",
""
],
[
"Kravchuk",
"Petr",
""
],
[
"Meltzer",
"David",
""
],
[
"Simmons-Duffin",
"David",
""
]
] |
We initiate a study of asymptotic detector operators in weakly-coupled field theories. These operators describe measurements that can be performed at future null infinity in a collider experiment. In a conformal theory they can be identified with light-ray operators, and thus have a direct relation to the spectrum of the theory. After a general discussion of the underlying physical picture, we show how infrared divergences of general detector operators can be renormalized in perturbation theory, and how they give rise to detector anomalous dimensions. We discuss in detail how this renormalization can be performed at the intersections of the Regge trajectories where non-trivial mixing occurs, which is related to the poles in anomalous dimensions at special values of spin. Finally, we discuss novel horizontal trajectories in scalar theories and show how they contribute to correlation functions. Our calculations are done in the example of $\phi^4$ theory in $d=4-\epsilon$ dimensions, but the methods are applicable more broadly. At the Wilson-Fisher fixed point our results include an explicit expression for the Pomeron light-ray operator at two loops, as well as a prediction for the value of the Regge intercept at five loops.
| 8.594404
| 8.028673
| 9.232452
| 8.131777
| 8.613453
| 8.558151
| 8.33785
| 8.444132
| 8.496645
| 8.873766
| 8.009558
| 8.363843
| 8.162243
| 8.246785
| 8.501972
| 8.579059
| 8.487326
| 8.559342
| 8.278644
| 8.54878
| 8.237775
|
hep-th/0404173
|
Andrei Mikhailov
|
Andrei Mikhailov
|
Supersymmetric null-surfaces
|
v4: added a reference to the earlier work; corrected the formula for
the stabilizer of the BMN vacuum; added the discussion of the complex
structure of the odd coordinates in Section 3.2
|
JHEP0409:068,2004
|
10.1088/1126-6708/2004/09/068
|
CALT-68-2494
|
hep-th
| null |
Single trace operators with the large R-charge in supersymmetric Yang-Mills
theory correspond to the null-surfaces in $AdS_5\times S^5$. We argue that the
moduli space of the null-surfaces is the space of contours in the
super-Grassmanian parametrizing the complex $(2|2)$-dimensional subspaces of
the complex $(4|4)$-dimensional space. The odd coordinates on this
super-Grassmanian correspond to the fermionic degrees of freedom of the
superstring.
|
[
{
"created": "Thu, 22 Apr 2004 18:17:50 GMT",
"version": "v1"
},
{
"created": "Fri, 14 May 2004 21:34:20 GMT",
"version": "v2"
},
{
"created": "Mon, 20 Sep 2004 23:58:00 GMT",
"version": "v3"
},
{
"created": "Sat, 16 Apr 2005 01:08:33 GMT",
"version": "v4"
}
] |
2008-11-26
|
[
[
"Mikhailov",
"Andrei",
""
]
] |
Single trace operators with the large R-charge in supersymmetric Yang-Mills theory correspond to the null-surfaces in $AdS_5\times S^5$. We argue that the moduli space of the null-surfaces is the space of contours in the super-Grassmanian parametrizing the complex $(2|2)$-dimensional subspaces of the complex $(4|4)$-dimensional space. The odd coordinates on this super-Grassmanian correspond to the fermionic degrees of freedom of the superstring.
| 7.064222
| 6.985558
| 7.74134
| 6.600515
| 6.927669
| 7.102547
| 6.345049
| 6.145371
| 6.216593
| 7.707109
| 6.434375
| 6.105466
| 6.654707
| 6.251832
| 6.333647
| 6.286781
| 6.650658
| 6.215245
| 6.329749
| 6.659029
| 6.107366
|
2201.10503
|
Soumitra SenGupta
|
Arko Bhaumik and Soumitra SenGupta
|
Moduli stabilization with bulk scalar in nested doubly warped braneworld
model
|
19 Pages, 1 Figure
| null |
10.1140/epjc/s10052-022-10973-y
| null |
hep-th gr-qc hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We examine the modulus stabilization mechanism of a warped geometry model
with nested warping. Such a model with multiple moduli is known to offer a
possible resolution of the fermion mass hierarchy problem in the standard
model. A six dimensional doubly warped braneworld model under consideration
admits two distinct moduli, with the associated warp factors dynamically
generating different physical mass scales on four 3-branes. In order to address
the hierarchy problem related to the Higgs mass, both moduli need to be
stabilized around their desired values without any extreme fine tuning of
parameters. We show that it is possible to stabilize them simultaneously due to
the appearence of an effective 4D moduli potential, which is generated by a
single bulk scalar field having non-zero VEVs frozen on the 3-branes. We also
discuss how the entire mechanism can possibly be understood from a purely
gravitational point of view, with higher curvature f(R) contributions in the
bulk automatically providing a scalar degree of freedom that can serve as the
stabilizing field in the Einstein frame.
|
[
{
"created": "Tue, 25 Jan 2022 17:53:16 GMT",
"version": "v1"
}
] |
2022-12-14
|
[
[
"Bhaumik",
"Arko",
""
],
[
"SenGupta",
"Soumitra",
""
]
] |
We examine the modulus stabilization mechanism of a warped geometry model with nested warping. Such a model with multiple moduli is known to offer a possible resolution of the fermion mass hierarchy problem in the standard model. A six dimensional doubly warped braneworld model under consideration admits two distinct moduli, with the associated warp factors dynamically generating different physical mass scales on four 3-branes. In order to address the hierarchy problem related to the Higgs mass, both moduli need to be stabilized around their desired values without any extreme fine tuning of parameters. We show that it is possible to stabilize them simultaneously due to the appearence of an effective 4D moduli potential, which is generated by a single bulk scalar field having non-zero VEVs frozen on the 3-branes. We also discuss how the entire mechanism can possibly be understood from a purely gravitational point of view, with higher curvature f(R) contributions in the bulk automatically providing a scalar degree of freedom that can serve as the stabilizing field in the Einstein frame.
| 12.146439
| 11.960942
| 12.013017
| 11.78904
| 12.589872
| 12.501904
| 12.191708
| 11.828038
| 11.243694
| 12.462064
| 11.975898
| 11.896094
| 12.202766
| 11.445549
| 11.791636
| 11.535996
| 11.732839
| 11.491723
| 11.637499
| 11.741192
| 11.588231
|
hep-th/0310065
|
Dzo Mikulovic
|
Dzo Mikulovic
|
Seiberg-Witten Map for Superfields on Canonically Deformed N=1, d=4
Superspace
|
24 pages, LaTeX; typos corrected, two comments added
|
JHEP 0401 (2004) 063
|
10.1088/1126-6708/2004/01/063
|
LMU-TPW 2003-10
|
hep-th
| null |
In this paper we construct Seiberg-Witten maps for superfields on canonically
deformed N=1, d=4 Minkowski and Euclidean superspace. On Minkowski superspace
we show that the Seiberg-Witten map is not compatible with locality,
(anti)chirality and supersymmetry at the same time. On Euclidean superspace we
show that there exists a local, chiral and supersymmetric Seiberg-Witten map
for chiral superfields if we take the noncommutativity parameter to be
selfdual, and a local, antichiral and supersymmetric Seiberg-Witten map for
antichiral superfields if we take the noncommutativity parameter to be
antiselfdual, respectively.
|
[
{
"created": "Tue, 7 Oct 2003 15:07:03 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Oct 2003 10:00:16 GMT",
"version": "v2"
},
{
"created": "Thu, 19 Feb 2004 11:07:13 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Mikulovic",
"Dzo",
""
]
] |
In this paper we construct Seiberg-Witten maps for superfields on canonically deformed N=1, d=4 Minkowski and Euclidean superspace. On Minkowski superspace we show that the Seiberg-Witten map is not compatible with locality, (anti)chirality and supersymmetry at the same time. On Euclidean superspace we show that there exists a local, chiral and supersymmetric Seiberg-Witten map for chiral superfields if we take the noncommutativity parameter to be selfdual, and a local, antichiral and supersymmetric Seiberg-Witten map for antichiral superfields if we take the noncommutativity parameter to be antiselfdual, respectively.
| 3.416033
| 3.35987
| 3.679043
| 3.124318
| 3.153056
| 3.332039
| 3.280512
| 3.081578
| 3.198814
| 3.588023
| 3.208888
| 3.220744
| 3.350865
| 3.213844
| 3.192849
| 3.290508
| 3.292032
| 3.136897
| 3.332131
| 3.39373
| 3.179269
|
hep-th/9807008
|
Bjoern Andreas
|
B. Andreas, G. Curio and D. Lust
|
The Neveu-Schwarz Five-Brane and its Dual Geometries
|
18pp, added references
|
JHEP 9810:022,1998
|
10.1088/1126-6708/1998/10/022
| null |
hep-th
| null |
In this paper we discuss two aspects of duality transformations on the
Neveu-Schwarz (NS) 5-brane solutions in type II and heterotic string theories.
First we demonstrate that the non-extremal NS 5-brane background is U-dual to
its CGHS limit, a two-dimensional black hole times $S^3\times T^5$; an
intermediate step is provided by the near horizon geometry which is given by
the three-dimensional $BTZ_3$ black hole (being closely related to $AdS_3$)
times $S^3\times T^4$. In the second part of the paper we discuss the T-duality
between $k$ NS 5-branes and the Taub-NUT spaces respectively ALE spaces, which
are related to the resolution of the $A_{k-1}$ singularities of the non-compact
orbifold ${\bf C}^2/{\bf Z}_{k}$. In particular in the framework of N=1
supersymmetric gauge theories related to brane box constructions we give the
metric dual to two sets of intersecting NS 5-branes. In this way we get a
picture of a dual orbifold background ${\bf C}^3/ \Gamma$ which is fibered
together out of two N=2 models ($\Gamma={\bf Z}_k\times {\bf Z}_{k'}$). Finally
we also discuss the intersection of NS 5-branes with D branes, which can serve
as probes of the dual background spaces.
|
[
{
"created": "Wed, 1 Jul 1998 16:33:38 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Jul 1998 14:42:15 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Andreas",
"B.",
""
],
[
"Curio",
"G.",
""
],
[
"Lust",
"D.",
""
]
] |
In this paper we discuss two aspects of duality transformations on the Neveu-Schwarz (NS) 5-brane solutions in type II and heterotic string theories. First we demonstrate that the non-extremal NS 5-brane background is U-dual to its CGHS limit, a two-dimensional black hole times $S^3\times T^5$; an intermediate step is provided by the near horizon geometry which is given by the three-dimensional $BTZ_3$ black hole (being closely related to $AdS_3$) times $S^3\times T^4$. In the second part of the paper we discuss the T-duality between $k$ NS 5-branes and the Taub-NUT spaces respectively ALE spaces, which are related to the resolution of the $A_{k-1}$ singularities of the non-compact orbifold ${\bf C}^2/{\bf Z}_{k}$. In particular in the framework of N=1 supersymmetric gauge theories related to brane box constructions we give the metric dual to two sets of intersecting NS 5-branes. In this way we get a picture of a dual orbifold background ${\bf C}^3/ \Gamma$ which is fibered together out of two N=2 models ($\Gamma={\bf Z}_k\times {\bf Z}_{k'}$). Finally we also discuss the intersection of NS 5-branes with D branes, which can serve as probes of the dual background spaces.
| 6.717959
| 6.862704
| 7.442599
| 6.389789
| 6.836637
| 6.842036
| 6.67788
| 6.384655
| 6.525695
| 7.313898
| 6.515084
| 6.530347
| 6.767923
| 6.569476
| 6.549053
| 6.461143
| 6.552161
| 6.542524
| 6.556401
| 6.651904
| 6.471245
|
1707.06351
|
Ken-Ji Hamada
|
Ken-ji Hamada
|
BRST Conformal Symmetry as A Background-Free Nature of Quantum Gravity
|
44 pages, 2 figures, sentences about our inflation model added,
ref.46 is corrected
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Quantum gravity that describes the world beyond the Planck scale should be
formulated in a background-metric independent manner. Such a background-free
nature can be represented as a gauge equivalency under conformal
transformations, called the BRST conformal symmetry. In this review, we present
quantum field theories of gravity with such symmetry. Since we can choose any
background owing to this symmetry as far as it is conformally flat, we here
employ the cylindrical background. First, we briefly review the famous BRST
Liouville-Virasoro algebra in 2D quantum gravity on $R \times S^1$. We then
present recent developments of the BRST conformal algebra and physical states
of 4D quantum gravity on $R \times S^3$ whose conformal-factor dynamics is
ruled by the Riegert's Wess-Zumino action, which arises in the UV limit of the
renormalizable quantum conformal gravity with the "asymptotic background
freedom". We find that the BRST conformal invariance makes all physical states
real and scalar as well as all negative-metric modes unphysical.
We also briefly discuss the dynamics of how the conformal invariance breaks
down and how our classical spacetime emerges at low energies, in which a novel
interpretation of the "minimal length" we can measure comes out without
discretizing spacetime.
|
[
{
"created": "Thu, 20 Jul 2017 02:49:06 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Jul 2017 01:55:51 GMT",
"version": "v2"
}
] |
2017-08-01
|
[
[
"Hamada",
"Ken-ji",
""
]
] |
Quantum gravity that describes the world beyond the Planck scale should be formulated in a background-metric independent manner. Such a background-free nature can be represented as a gauge equivalency under conformal transformations, called the BRST conformal symmetry. In this review, we present quantum field theories of gravity with such symmetry. Since we can choose any background owing to this symmetry as far as it is conformally flat, we here employ the cylindrical background. First, we briefly review the famous BRST Liouville-Virasoro algebra in 2D quantum gravity on $R \times S^1$. We then present recent developments of the BRST conformal algebra and physical states of 4D quantum gravity on $R \times S^3$ whose conformal-factor dynamics is ruled by the Riegert's Wess-Zumino action, which arises in the UV limit of the renormalizable quantum conformal gravity with the "asymptotic background freedom". We find that the BRST conformal invariance makes all physical states real and scalar as well as all negative-metric modes unphysical. We also briefly discuss the dynamics of how the conformal invariance breaks down and how our classical spacetime emerges at low energies, in which a novel interpretation of the "minimal length" we can measure comes out without discretizing spacetime.
| 11.429024
| 11.959959
| 12.980397
| 11.283167
| 11.907851
| 11.601707
| 11.784693
| 11.819189
| 11.333544
| 12.858296
| 11.438284
| 11.433796
| 11.046901
| 11.129766
| 11.514654
| 11.059607
| 11.368203
| 11.189938
| 11.015254
| 11.058016
| 10.969403
|
hep-th/0611073
|
Davi Rodrigues
|
Davi C. Rodrigues
|
Electromagnetic Dualities on Noncommutative Space-Time and Symplectic
Formalisms
|
162 pages, 7 figures, Ph.D. thesis (Portuguese)
| null | null | null |
hep-th
| null |
In this thesis we analyze extensions of classical electromagnetic dualities
to the noncommutative (NC) 3D and 4D space-times. It is known that the
noncomutativity parameter theta becomes its Hodge dual *theta through the NC 4D
electromagnetic duality [under the Slowly Varying Fields (SVF) limit], this is
a nontrivial transformation which connects noncommutativity in space with
noncommutativity between space and time. In this thesis we extend this duality
to the 3D space-time, evaluate the necessity of the SVF limit in both 4D and
3D, study the 3D case with topological mass and establish a noncommutative
extension to the selfdual model, clarifying certain conflicts found in the
literature.
We also present here the development of a technique of gauge embedding
inspired in the symplectic handling of constraints which has already been
applied to a number of models, both commutative and noncommutative, and success
has been achieved in reproducing results obtained by other methods.
|
[
{
"created": "Tue, 7 Nov 2006 04:52:48 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Rodrigues",
"Davi C.",
""
]
] |
In this thesis we analyze extensions of classical electromagnetic dualities to the noncommutative (NC) 3D and 4D space-times. It is known that the noncomutativity parameter theta becomes its Hodge dual *theta through the NC 4D electromagnetic duality [under the Slowly Varying Fields (SVF) limit], this is a nontrivial transformation which connects noncommutativity in space with noncommutativity between space and time. In this thesis we extend this duality to the 3D space-time, evaluate the necessity of the SVF limit in both 4D and 3D, study the 3D case with topological mass and establish a noncommutative extension to the selfdual model, clarifying certain conflicts found in the literature. We also present here the development of a technique of gauge embedding inspired in the symplectic handling of constraints which has already been applied to a number of models, both commutative and noncommutative, and success has been achieved in reproducing results obtained by other methods.
| 10.915887
| 9.470901
| 10.662349
| 9.475047
| 10.197593
| 9.542096
| 10.559965
| 9.591302
| 9.694156
| 11.107056
| 9.395842
| 10.069645
| 10.327579
| 9.865018
| 9.80483
| 9.87239
| 10.156008
| 9.909052
| 10.0606
| 10.598728
| 10.126312
|
hep-th/9609055
|
Thomas Heinzl
|
T. Heinzl (University of Regensburg)
|
Hamiltonian Approach to the Gribov Problem
|
4 pages, 2 PICTEX figures, uses espcrc2.sty, talk presented at QCD
96, July 4-12, Montpellier, France
|
Nucl.Phys.Proc.Suppl. 54A (1997) 194-197
|
10.1016/S0920-5632(97)00039-X
|
TPR-96-18
|
hep-th hep-ph
| null |
We study the Gribov problem within a Hamiltonian formulation of pure
Yang-Mills theory. For a particular gauge fixing, a finite volume modification
of the axial gauge, we find an exact characterization of the space of
gauge-inequivalent gauge configurations.
|
[
{
"created": "Fri, 6 Sep 1996 11:18:31 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Heinzl",
"T.",
"",
"University of Regensburg"
]
] |
We study the Gribov problem within a Hamiltonian formulation of pure Yang-Mills theory. For a particular gauge fixing, a finite volume modification of the axial gauge, we find an exact characterization of the space of gauge-inequivalent gauge configurations.
| 9.978829
| 8.268493
| 9.815102
| 8.84976
| 7.890154
| 8.681862
| 8.566384
| 8.079989
| 8.843121
| 10.476667
| 8.384607
| 8.776472
| 9.863544
| 9.231813
| 8.909187
| 8.663896
| 8.719358
| 8.408619
| 9.052607
| 9.686536
| 9.14673
|
1406.1161
|
Howard Schnitzer
|
Howard J. Schnitzer
|
Mutual R\'enyi information for two disjoint compound systems
|
10 pages, typos corrected
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The leading term for the mutual R\'enyi information is studied for two widely
separated identical compound systems for free scalar fields in $(d+1)$
Euclidean space. The compound system consists of two identical spheres in
contact, with a result consistent with a universal form for the leading term
for the mutual R\'enyi information.
|
[
{
"created": "Wed, 4 Jun 2014 19:37:59 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Oct 2014 19:11:15 GMT",
"version": "v2"
},
{
"created": "Mon, 3 Nov 2014 19:39:16 GMT",
"version": "v3"
}
] |
2014-11-04
|
[
[
"Schnitzer",
"Howard J.",
""
]
] |
The leading term for the mutual R\'enyi information is studied for two widely separated identical compound systems for free scalar fields in $(d+1)$ Euclidean space. The compound system consists of two identical spheres in contact, with a result consistent with a universal form for the leading term for the mutual R\'enyi information.
| 16.549469
| 11.887121
| 12.992175
| 12.171586
| 11.759713
| 15.050985
| 14.224738
| 13.064699
| 12.798205
| 15.554823
| 13.637008
| 14.22286
| 13.845857
| 13.978439
| 14.642214
| 13.733175
| 14.973328
| 14.15912
| 14.548045
| 14.693747
| 14.502972
|
hep-th/0409064
|
Xiaojun Wang
|
Xiao-Jun Wang
|
D3-branes in conifold and D5-brane wrapping on a supersymmetric 2-cycle
|
The paper has been withdraw by author
| null | null | null |
hep-th
| null |
The paper has been withdraw by author due to a crucial error in equation 10.
|
[
{
"created": "Mon, 6 Sep 2004 14:59:47 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Sep 2004 04:32:18 GMT",
"version": "v2"
},
{
"created": "Thu, 23 Sep 2004 08:47:23 GMT",
"version": "v3"
},
{
"created": "Sun, 10 Oct 2004 08:19:22 GMT",
"version": "v4"
}
] |
2007-05-23
|
[
[
"Wang",
"Xiao-Jun",
""
]
] |
The paper has been withdraw by author due to a crucial error in equation 10.
| 34.630348
| 20.170511
| 21.306255
| 16.886408
| 28.017073
| 16.040178
| 17.530113
| 19.115974
| 17.046894
| 21.283983
| 18.854797
| 26.720158
| 23.188042
| 24.654541
| 24.206123
| 27.769655
| 25.313047
| 22.319382
| 25.938271
| 23.814833
| 22.775877
|
hep-th/0108031
|
Tim Morris
|
Michael D. Turner
|
The derivative expansion of the exact renormalization group
|
Thesis, August 1996. LaTeX, 125 pages,28 figs
| null | null | null |
hep-th
| null |
We formulate a method of performing non-perturbative calculations in quantum
field theory, based upon a derivative expansion of the exact renormalization
group. We then proceed to apply this method to the calculation of critical
exponents for three dimensional O(N) symmetric theory. Finally we discuss how
the approximation scheme manages to reproduce some exactly known solutions in
critical phenomena.
|
[
{
"created": "Mon, 6 Aug 2001 21:01:41 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Turner",
"Michael D.",
""
]
] |
We formulate a method of performing non-perturbative calculations in quantum field theory, based upon a derivative expansion of the exact renormalization group. We then proceed to apply this method to the calculation of critical exponents for three dimensional O(N) symmetric theory. Finally we discuss how the approximation scheme manages to reproduce some exactly known solutions in critical phenomena.
| 10.571969
| 8.75288
| 9.689382
| 9.092968
| 9.229484
| 9.388519
| 8.689438
| 8.978362
| 8.143974
| 10.645211
| 8.653119
| 9.220004
| 9.900967
| 9.801106
| 9.733717
| 9.38769
| 9.436414
| 9.356569
| 9.798448
| 9.81065
| 9.557791
|
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