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2024-08-16 00:00:00
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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
467
| perplexity_s8-L-3.1-8B-base
float64 2.89
220
| perplexity_s9-L-3.1-8B-base
float64 3.21
1.68k
| perplexity_s10-L-3.1-8B-base
float64 2.98
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| perplexity_s1-L-3.1-8B-qkv_v2
float64 2.92
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| perplexity_s2-L-3.1-8B-qkv
float64 3.05
621
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float64 2.93
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float64 2.96
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float64 2.95
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|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2301.03503
|
Gerardo Garc\'ia-Moreno
|
Luis J. Garay, Gerardo Garc\'ia-Moreno
|
Embedding Unimodular Gravity in String Theory
|
28 pages, no figures; v2: Matches the published version. A short
discussion concerning String Field Theory added
|
JHEP 03 (2023) 027
|
10.1007/JHEP03(2023)027
|
IPARCOS-UCM-23-001
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Unimodular Gravity is a theory displaying Weyl rescalings of the metric and
transverse (volume-preserving) diffeomorphisms as gauge symmetries, as opposed
to the full set of diffeomorphisms displayed by General Relativity. Recently,
we presented a systematic comparison of both theories, concluding that both of
them are equivalent in everything but the behaviour of the cosmological
constant under radiative corrections. A careful study of how Unimodular Gravity
can be embedded in the string theory framework has not been provided yet and
was not analyzed there in detail. In this article, we provide such an explicit
analysis, filling the gap in the literature. We restrict ourselves to the
unoriented bosonic string theory in critical dimension for the sake of
simplicity, although we argue that no differences are expected for other string
theories. Our conclusions are that both a Diff and a WTDiff invariance
principle are equally valid for describing the massless excitations of the
string spectrum.
|
[
{
"created": "Mon, 9 Jan 2023 16:53:31 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Mar 2023 16:26:13 GMT",
"version": "v2"
}
] |
2023-03-10
|
[
[
"Garay",
"Luis J.",
""
],
[
"García-Moreno",
"Gerardo",
""
]
] |
Unimodular Gravity is a theory displaying Weyl rescalings of the metric and transverse (volume-preserving) diffeomorphisms as gauge symmetries, as opposed to the full set of diffeomorphisms displayed by General Relativity. Recently, we presented a systematic comparison of both theories, concluding that both of them are equivalent in everything but the behaviour of the cosmological constant under radiative corrections. A careful study of how Unimodular Gravity can be embedded in the string theory framework has not been provided yet and was not analyzed there in detail. In this article, we provide such an explicit analysis, filling the gap in the literature. We restrict ourselves to the unoriented bosonic string theory in critical dimension for the sake of simplicity, although we argue that no differences are expected for other string theories. Our conclusions are that both a Diff and a WTDiff invariance principle are equally valid for describing the massless excitations of the string spectrum.
| 8.937761
| 9.072565
| 9.025971
| 7.773304
| 8.894784
| 7.789168
| 8.497877
| 8.457173
| 8.03302
| 8.979136
| 8.212977
| 7.936896
| 7.967878
| 7.830875
| 7.671183
| 8.118546
| 8.011695
| 8.209031
| 8.268668
| 8.086239
| 8.154783
|
1304.7988
|
Ruben Manvelyan
|
R. Manvelyan, K. Mkrtchyan, R. Mkrtchyan and S. Theisen
|
On Higher Spin Symmetries in AdS_{5}
|
24 pages, Latex, v.2, minor corrections, references added, v.3,
revised version, accepted for publication in JHEP
| null |
10.1007/JHEP10(2013)185
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A special embedding of the SU(4) algebra in SU(10), including both spin two
and spin three symmetry generators, is constructed. A possible five dimensional
action for massless spin two and three fields with cubic interaction is
constructed. The connection with the previously investigated higher spin
theories in $AdS_{5}$ background is discussed. Generalization to the more
general case of symmetries, including spins $2,3,\dots s$, is shown.
|
[
{
"created": "Tue, 30 Apr 2013 13:24:41 GMT",
"version": "v1"
},
{
"created": "Sun, 9 Jun 2013 16:51:36 GMT",
"version": "v2"
},
{
"created": "Sat, 21 Sep 2013 11:58:46 GMT",
"version": "v3"
}
] |
2015-06-15
|
[
[
"Manvelyan",
"R.",
""
],
[
"Mkrtchyan",
"K.",
""
],
[
"Mkrtchyan",
"R.",
""
],
[
"Theisen",
"S.",
""
]
] |
A special embedding of the SU(4) algebra in SU(10), including both spin two and spin three symmetry generators, is constructed. A possible five dimensional action for massless spin two and three fields with cubic interaction is constructed. The connection with the previously investigated higher spin theories in $AdS_{5}$ background is discussed. Generalization to the more general case of symmetries, including spins $2,3,\dots s$, is shown.
| 14.772057
| 12.869224
| 14.957201
| 12.114281
| 12.794838
| 13.900316
| 13.63127
| 12.850153
| 13.591322
| 15.076485
| 11.852446
| 11.784706
| 12.500376
| 12.051693
| 11.994589
| 12.222116
| 12.455476
| 11.596457
| 12.058022
| 12.57141
| 12.486892
|
0809.3355
|
Kamal Lochan Panigrahi
|
J. Kluson, Kamal L. Panigrahi
|
Wilson Loops in 3d QFT from D-branes in AdS(4) x CP**3
|
24 pages, v3: major revision, more text added, title changed, journal
version
| null |
10.1140/epjc/s10052-009-0986-2
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the Wilson loops and defects in the three dimensional QFT from the
D-branes in the AdS(4) x CP**3 geometry. We find out explicit D-brane
configurations in the bulk which correspond to both straight and circular
Wilson lines extended to the boundary of AdS(4). We analyze critically the role
of boundary contributions to the D2-branes with various topology and to the
fundamental string actions.
|
[
{
"created": "Fri, 19 Sep 2008 11:20:51 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Oct 2008 07:07:09 GMT",
"version": "v2"
},
{
"created": "Mon, 9 Mar 2009 18:03:40 GMT",
"version": "v3"
}
] |
2015-05-13
|
[
[
"Kluson",
"J.",
""
],
[
"Panigrahi",
"Kamal L.",
""
]
] |
We study the Wilson loops and defects in the three dimensional QFT from the D-branes in the AdS(4) x CP**3 geometry. We find out explicit D-brane configurations in the bulk which correspond to both straight and circular Wilson lines extended to the boundary of AdS(4). We analyze critically the role of boundary contributions to the D2-branes with various topology and to the fundamental string actions.
| 14.022052
| 13.976353
| 14.805797
| 12.602195
| 11.943535
| 12.945134
| 12.941798
| 13.342851
| 12.265269
| 16.195694
| 12.037349
| 13.512273
| 14.309464
| 12.435284
| 12.957646
| 12.901341
| 13.499147
| 12.681267
| 12.810396
| 13.710068
| 12.961542
|
1109.0793
|
Rudranil Basu
|
Rudranil Basu, Samir K Paul
|
Consistent 3D Quantum Gravity on Lens Spaces
|
New section and references added. Accepted in Phys. Rev. D for
publication
|
Phys. Rev. D 85, 023520 (2012)
|
10.1103/PhysRevD.85.023520
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study non-perturbative quantization of 3d gravity with positive
cosmological constant (de Sitter space being the prototype vacuum solution,
whose Euclideanization of course gives the three sphere) on the background
topology of lens space, which is a three spheres modulo a discrete group.
Instead of the strategy followed by a recent work \cite{Castro:2011xb}, which
compares results in the second and first order formulations of gravity, we
concentrate on the later solely. We note, as a striking feature, that the
quantization, that relies heavily on the axiomatics of topological quantum
field theory (TQFT) can only be consistently carried by augmenting the
conventional theory by an additional topological term coupled through a
dimensionless parameter. More importantly the introduction of this additional
parameter renders the theory finite.
|
[
{
"created": "Mon, 5 Sep 2011 03:56:50 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Dec 2011 05:02:30 GMT",
"version": "v2"
}
] |
2015-05-30
|
[
[
"Basu",
"Rudranil",
""
],
[
"Paul",
"Samir K",
""
]
] |
We study non-perturbative quantization of 3d gravity with positive cosmological constant (de Sitter space being the prototype vacuum solution, whose Euclideanization of course gives the three sphere) on the background topology of lens space, which is a three spheres modulo a discrete group. Instead of the strategy followed by a recent work \cite{Castro:2011xb}, which compares results in the second and first order formulations of gravity, we concentrate on the later solely. We note, as a striking feature, that the quantization, that relies heavily on the axiomatics of topological quantum field theory (TQFT) can only be consistently carried by augmenting the conventional theory by an additional topological term coupled through a dimensionless parameter. More importantly the introduction of this additional parameter renders the theory finite.
| 15.827498
| 18.010983
| 16.640045
| 16.607056
| 18.086933
| 18.076633
| 18.092743
| 16.921644
| 15.815272
| 18.686924
| 16.088049
| 15.666101
| 16.33544
| 16.067614
| 16.467716
| 16.583595
| 17.058697
| 15.859718
| 16.150927
| 16.155264
| 15.567867
|
1512.06646
|
Tadashi Okazaki
|
Tadashi Okazaki, Douglas J. Smith
|
Topological M-Strings and Supergroup WZW Models
|
36 pages, 2 figures; v4: published version in Physical Review D
|
Phys. Rev. D 94, 065016 (2016)
|
10.1103/PhysRevD.94.065016
|
DCPT-15/69, NCTS-TH/1508
|
hep-th math.GT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the boundary conditions in the topologically twisted Chern-Simons
matter theories with the Lie 3-algebraic structure. We find that the
supersymmetric boundary conditions and the gauge invariant boundary conditions
can be unified as the complexified gauge invariant boundary conditions which
lead to the supergroup WZW models. We propose that the low-energy effective
field theories on the two-dimensional intersection of multiple M2-branes on a
holomorphic curve inside K3 with two non-parallel M5-branes on the K3 are
supergroup WZW models from the topologically twisted BLG-model and the
ABJM-model.
|
[
{
"created": "Mon, 21 Dec 2015 14:36:42 GMT",
"version": "v1"
},
{
"created": "Sun, 28 Feb 2016 12:16:49 GMT",
"version": "v2"
},
{
"created": "Wed, 15 Jun 2016 02:39:53 GMT",
"version": "v3"
},
{
"created": "Fri, 16 Sep 2016 13:07:08 GMT",
"version": "v4"
}
] |
2016-09-19
|
[
[
"Okazaki",
"Tadashi",
""
],
[
"Smith",
"Douglas J.",
""
]
] |
We study the boundary conditions in the topologically twisted Chern-Simons matter theories with the Lie 3-algebraic structure. We find that the supersymmetric boundary conditions and the gauge invariant boundary conditions can be unified as the complexified gauge invariant boundary conditions which lead to the supergroup WZW models. We propose that the low-energy effective field theories on the two-dimensional intersection of multiple M2-branes on a holomorphic curve inside K3 with two non-parallel M5-branes on the K3 are supergroup WZW models from the topologically twisted BLG-model and the ABJM-model.
| 8.831648
| 8.753328
| 11.905558
| 7.911463
| 7.581717
| 7.411487
| 7.910908
| 8.020295
| 8.236163
| 12.35852
| 8.171275
| 8.302934
| 8.973564
| 7.935781
| 8.118131
| 8.167119
| 8.235531
| 8.22619
| 8.121813
| 9.06391
| 8.189229
|
1812.10727
|
Zhenjie Li
|
Zhenjie Li, Chi Zhang
|
Moduli Space of Paired Punctures, Cyclohedra and Particle Pairs on a
Circle
|
23 pages, 7 figures
| null |
10.1007/JHEP05(2019)029
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we study a new moduli space $\mathcal{M}_{n+1}^{\mathrm{c}}$,
which is obtained from $\mathcal{M}_{0,2n+2}$ by identifying pairs of
punctures. We find that this space is tiled by $2^{n-1}n!$ cyclohedra, and
construct the canonical form for each chamber. We also find the corresponding
Koba-Nielsen factor can be viewed as the potential of the system of $n{+}1$
pairs of particles on a circle, which is similar to the original case of
$\mathcal{M}_{0,n}$ where the system is $n{-}3$ particles on a line. We
investigate the intersection numbers of chambers equipped with Koba-Nielsen
factors. Then we construct cyclohedra in kinematic space and show that the
scattering equations serve as a map between the interior of worldsheet
cyclohedron and kinematic cyclohedron. Finally, we briefly discuss string-like
integrals over such moduli space.
|
[
{
"created": "Thu, 27 Dec 2018 14:12:17 GMT",
"version": "v1"
}
] |
2019-05-22
|
[
[
"Li",
"Zhenjie",
""
],
[
"Zhang",
"Chi",
""
]
] |
In this paper, we study a new moduli space $\mathcal{M}_{n+1}^{\mathrm{c}}$, which is obtained from $\mathcal{M}_{0,2n+2}$ by identifying pairs of punctures. We find that this space is tiled by $2^{n-1}n!$ cyclohedra, and construct the canonical form for each chamber. We also find the corresponding Koba-Nielsen factor can be viewed as the potential of the system of $n{+}1$ pairs of particles on a circle, which is similar to the original case of $\mathcal{M}_{0,n}$ where the system is $n{-}3$ particles on a line. We investigate the intersection numbers of chambers equipped with Koba-Nielsen factors. Then we construct cyclohedra in kinematic space and show that the scattering equations serve as a map between the interior of worldsheet cyclohedron and kinematic cyclohedron. Finally, we briefly discuss string-like integrals over such moduli space.
| 7.840814
| 7.46676
| 8.36787
| 6.597825
| 7.603158
| 7.910627
| 7.451481
| 7.089365
| 7.542412
| 9.172944
| 7.2363
| 7.287059
| 7.496704
| 7.227109
| 7.220739
| 7.484667
| 7.212917
| 7.103651
| 7.294621
| 7.316247
| 7.041669
|
hep-th/0010211
|
Jean Alexandre
|
J.Alexandre, K.Farakos, G.Koutsoumbas
|
Magnetic catalysis in QED_3 at finite temperature: beyond the constant
mass approximation
|
21 pages, 10 figures, published version
|
Phys.Rev. D63 (2001) 065015
|
10.1103/PhysRevD.63.065015
| null |
hep-th cond-mat.supr-con hep-ph
| null |
We solve the Schwinger-Dyson equations for (2+1)-dimensional QED in the
presence of a strong external magnetic field. The calculation is done at finite
temperature and the fermionic self energy is not supposed to be
momentum-independent, which is the usual simplification in such calculations.
The phase diagram in the temperature-magnetic field plane is determined. For
intermediate magnetic fields the critical temperature turns out to have a
square root dependence on the magnetic field, but for very strong magnetic
fields it approaches a B-independent limiting value.
|
[
{
"created": "Tue, 24 Oct 2000 09:58:26 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Oct 2000 16:40:35 GMT",
"version": "v2"
},
{
"created": "Thu, 9 Nov 2000 13:02:07 GMT",
"version": "v3"
},
{
"created": "Mon, 15 Jan 2001 12:46:46 GMT",
"version": "v4"
}
] |
2009-10-31
|
[
[
"Alexandre",
"J.",
""
],
[
"Farakos",
"K.",
""
],
[
"Koutsoumbas",
"G.",
""
]
] |
We solve the Schwinger-Dyson equations for (2+1)-dimensional QED in the presence of a strong external magnetic field. The calculation is done at finite temperature and the fermionic self energy is not supposed to be momentum-independent, which is the usual simplification in such calculations. The phase diagram in the temperature-magnetic field plane is determined. For intermediate magnetic fields the critical temperature turns out to have a square root dependence on the magnetic field, but for very strong magnetic fields it approaches a B-independent limiting value.
| 6.905434
| 7.120743
| 5.677985
| 5.918088
| 6.472247
| 6.258773
| 6.503482
| 6.493586
| 5.863129
| 6.188936
| 6.578723
| 6.405205
| 6.428951
| 6.247462
| 6.642705
| 6.214118
| 6.227094
| 6.718073
| 6.149043
| 6.277816
| 6.312189
|
hep-th/0411249
|
Francesco Bigazzi
|
M. Bertolini, F. Bigazzi, A. L. Cotrone
|
New checks and subtleties for AdS/CFT and a-maximization
|
Latex, 16 pagex, 2 figures; v2, comments and a reference added; v3,
typos corrected
|
JHEP 0412 (2004) 024
|
10.1088/1126-6708/2004/12/024
|
SISSA-89/2004/EP LPTHE-04-31 CPHT-RR063.1104
|
hep-th
| null |
We provide a cross-check of AdS/CFT and a-charge maximization for a four
dimensional $N$=1 SCFT with irrational R-charges. The gauge theory is the low
energy effective theory of N D3-branes at the tip of the complex cone over the
first del Pezzo surface. By carefully taking into account the subtle issue of
flavor symmetry breaking at the fixed point, we show, using a-maximization,
that this theory has in fact irrational central charge and R-charges. Our
results perfectly match with those inherited from the recently discovered
supergravity dual background. Along analogous lines, we make novel predictions
for the still unknown AdS dual of the quiver theory for the second del Pezzo
surface. This should flow to a SCFT with irrational charges, too. All of our
results differ from previous findings in the literature and outline interesting
subtleties in a-maximization and AdS/CFT techniques overlooked in the past.
|
[
{
"created": "Fri, 26 Nov 2004 18:03:09 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Dec 2004 14:56:33 GMT",
"version": "v2"
},
{
"created": "Fri, 13 May 2005 10:34:01 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Bertolini",
"M.",
""
],
[
"Bigazzi",
"F.",
""
],
[
"Cotrone",
"A. L.",
""
]
] |
We provide a cross-check of AdS/CFT and a-charge maximization for a four dimensional $N$=1 SCFT with irrational R-charges. The gauge theory is the low energy effective theory of N D3-branes at the tip of the complex cone over the first del Pezzo surface. By carefully taking into account the subtle issue of flavor symmetry breaking at the fixed point, we show, using a-maximization, that this theory has in fact irrational central charge and R-charges. Our results perfectly match with those inherited from the recently discovered supergravity dual background. Along analogous lines, we make novel predictions for the still unknown AdS dual of the quiver theory for the second del Pezzo surface. This should flow to a SCFT with irrational charges, too. All of our results differ from previous findings in the literature and outline interesting subtleties in a-maximization and AdS/CFT techniques overlooked in the past.
| 10.922726
| 9.9557
| 12.435064
| 10.334254
| 10.62724
| 10.862853
| 10.25211
| 10.647217
| 10.381154
| 13.898393
| 9.832093
| 10.435132
| 10.956018
| 10.39204
| 10.372463
| 10.413375
| 10.26737
| 10.441147
| 10.407846
| 11.137139
| 10.111879
|
hep-th/0306204
|
Erich Popptiz
|
Erich Poppitz
|
Deconstructing KK Monopoles
|
20 pages, LaTeX; v.2: two references added; v.3: concluding section
expanded and more references added (published version)
|
JHEP 0308 (2003) 044
|
10.1088/1126-6708/2003/08/044
| null |
hep-th
| null |
We describe a procedure for finding Kaluza-Klein monopole solutions in
deconstructed four and five dimensional supersymmetric gauge theories. In the
deconstruction of a four dimensional theory, the KK monopoles are finite-action
solutions of the Euclidean equations of motion of the finite lattice spacing
theory. The "lattice" KK monopoles can be viewed as constituents of
continuum-limit four dimensional instantons. In the five dimensional case, the
KK monopoles are static finite-energy stringlike configurations, wrapped and
twisted around the compact direction, and can similarly be interpreted as
constituents of five dimensional finite-energy gauge solitons. We discuss the
quantum numbers and zero modes of the towers of deconstructed KK monopoles and
their significance for understanding anomalies and nonperturbative effects in
deconstruction.
|
[
{
"created": "Fri, 20 Jun 2003 17:56:47 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Jun 2003 12:47:16 GMT",
"version": "v2"
},
{
"created": "Wed, 3 Sep 2003 12:50:21 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Poppitz",
"Erich",
""
]
] |
We describe a procedure for finding Kaluza-Klein monopole solutions in deconstructed four and five dimensional supersymmetric gauge theories. In the deconstruction of a four dimensional theory, the KK monopoles are finite-action solutions of the Euclidean equations of motion of the finite lattice spacing theory. The "lattice" KK monopoles can be viewed as constituents of continuum-limit four dimensional instantons. In the five dimensional case, the KK monopoles are static finite-energy stringlike configurations, wrapped and twisted around the compact direction, and can similarly be interpreted as constituents of five dimensional finite-energy gauge solitons. We discuss the quantum numbers and zero modes of the towers of deconstructed KK monopoles and their significance for understanding anomalies and nonperturbative effects in deconstruction.
| 8.583939
| 8.559545
| 8.997909
| 7.849317
| 7.979761
| 7.635678
| 7.598985
| 8.437184
| 8.360685
| 9.219538
| 8.18782
| 7.847867
| 8.424282
| 7.917657
| 8.102056
| 7.850774
| 7.770439
| 8.051772
| 8.199272
| 8.265808
| 7.771008
|
1403.4354
|
Ken-Ji Hamada
|
Ken-ji Hamada
|
Determination of Gravitational Counterterms Near Four Dimensions from RG
Equations
|
29 pages, minor corrections, a reference added, to appear in
Phys.Rev.D
|
Phys. Rev. D 89, 104063 (2014)
|
10.1103/PhysRevD.89.104063
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The finiteness condition of renormalization gives a restriction on the form
of the gravitational action. By reconsidering the Hathrell's RG equations for
massless QED in curved space, we determine the gravitational counterterms and
the conformal anomalies as well near four dimensions. As conjectured for
conformal couplings in 1970s, we show that at all orders of the perturbation
they can be combined into two forms only: the square of the Weyl tensor in $D$
dimensions and $E_D=G_4 +(D-4)\chi(D)H^2 -4\chi(D) \nabla^2 H$, where $G_4$ is
the usual Euler density, $H=R/(D-1)$ is the rescaled scalar curvature and
$\chi(D)$ is a finite function of $D$ only. The number of the dimensionless
gravitational couplings is also reduced to two. $\chi(D)$ can be determined
order by order in series of $D-4$, whose first several coefficients are
calculated. It has a universal value of $1/2$ at $D=4$. The familiar ambiguous
$\nabla^2 R$ term is fixed. At the $D \to 4$ limit, the conformal anomaly $E_D$
just yields the combination $E_4=G_4-2\nabla^2 R/3$, which induces Riegert's
effective action.
|
[
{
"created": "Tue, 18 Mar 2014 06:17:48 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Mar 2014 01:50:51 GMT",
"version": "v2"
},
{
"created": "Wed, 21 May 2014 08:19:37 GMT",
"version": "v3"
}
] |
2014-06-11
|
[
[
"Hamada",
"Ken-ji",
""
]
] |
The finiteness condition of renormalization gives a restriction on the form of the gravitational action. By reconsidering the Hathrell's RG equations for massless QED in curved space, we determine the gravitational counterterms and the conformal anomalies as well near four dimensions. As conjectured for conformal couplings in 1970s, we show that at all orders of the perturbation they can be combined into two forms only: the square of the Weyl tensor in $D$ dimensions and $E_D=G_4 +(D-4)\chi(D)H^2 -4\chi(D) \nabla^2 H$, where $G_4$ is the usual Euler density, $H=R/(D-1)$ is the rescaled scalar curvature and $\chi(D)$ is a finite function of $D$ only. The number of the dimensionless gravitational couplings is also reduced to two. $\chi(D)$ can be determined order by order in series of $D-4$, whose first several coefficients are calculated. It has a universal value of $1/2$ at $D=4$. The familiar ambiguous $\nabla^2 R$ term is fixed. At the $D \to 4$ limit, the conformal anomaly $E_D$ just yields the combination $E_4=G_4-2\nabla^2 R/3$, which induces Riegert's effective action.
| 8.3774
| 9.171745
| 8.810568
| 8.495418
| 8.28226
| 8.59379
| 9.246347
| 8.401936
| 8.662631
| 9.245991
| 8.356585
| 7.935263
| 8.328447
| 8.184577
| 8.102015
| 8.246679
| 8.077113
| 8.151834
| 8.036311
| 8.287456
| 8.067623
|
2211.11218
|
Himanshu Gaur
|
Himanshu Gaur and Urjit A. Yajnik
|
Symmetry Resolved Entanglement Entropy in Hyperbolic de Sitter Space
|
v2, 15 pages, 3 figures; Typos corrected; Figure 2, and Figure 3
modified; Discussions and new references added; Results unchanged; Accepted
for publication in PRD
|
Phys. Rev. D 107, 125008 (2023)
|
10.1103/PhysRevD.107.125008
| null |
hep-th gr-qc quant-ph
|
http://creativecommons.org/licenses/by/4.0/
|
In this paper, we study the relation between entanglement and global internal
symmetries on de Sitter space. We consider two symmetric causally disconnected
regions in the hyperbolic chart on de Sitter space. Since entanglement measures
characterises correlations, the study of entanglement between the two causally
disconnected regions gives information about the long range correlations in de
Sitter space. When a theory possesses an additive global internal symmetry, the
entanglement measures for a state with fixed global charge may be decomposed
into local charge sectors in either subsystem and thus providing a finer
resolution of entanglement. Here we will consider two theories: free complex
scalar field, and free Dirac field on de Sitter space. Both theories possess
global internal $U(1)$ symmetry. We study the symmetry resolved entanglement
entropy for both theories in the Bunch-Davies vacuum state. We find that the
symmetry resolved entanglement entropy has equipartition into local charge
sectors upto the terms that scale as $V_{H_3}^0$ in the limit of large
$V_{H_3}$, where $V_{H_3}$ is the volume of either region. This equipartition
however is only broken by the terms of order $O(1/V_{H_3})$. Consequently, we
have equipartition of symmetry resolved entanglement entropy in the limit of
infinite volume.
|
[
{
"created": "Mon, 21 Nov 2022 07:28:01 GMT",
"version": "v1"
},
{
"created": "Tue, 23 May 2023 07:20:31 GMT",
"version": "v2"
}
] |
2023-06-12
|
[
[
"Gaur",
"Himanshu",
""
],
[
"Yajnik",
"Urjit A.",
""
]
] |
In this paper, we study the relation between entanglement and global internal symmetries on de Sitter space. We consider two symmetric causally disconnected regions in the hyperbolic chart on de Sitter space. Since entanglement measures characterises correlations, the study of entanglement between the two causally disconnected regions gives information about the long range correlations in de Sitter space. When a theory possesses an additive global internal symmetry, the entanglement measures for a state with fixed global charge may be decomposed into local charge sectors in either subsystem and thus providing a finer resolution of entanglement. Here we will consider two theories: free complex scalar field, and free Dirac field on de Sitter space. Both theories possess global internal $U(1)$ symmetry. We study the symmetry resolved entanglement entropy for both theories in the Bunch-Davies vacuum state. We find that the symmetry resolved entanglement entropy has equipartition into local charge sectors upto the terms that scale as $V_{H_3}^0$ in the limit of large $V_{H_3}$, where $V_{H_3}$ is the volume of either region. This equipartition however is only broken by the terms of order $O(1/V_{H_3})$. Consequently, we have equipartition of symmetry resolved entanglement entropy in the limit of infinite volume.
| 6.170029
| 6.108046
| 6.376939
| 5.838845
| 6.518634
| 6.411068
| 6.472779
| 6.178106
| 6.069183
| 6.560718
| 6.097878
| 6.035099
| 5.978079
| 5.879693
| 5.931421
| 6.042344
| 6.102502
| 5.948259
| 6.00114
| 6.334559
| 5.968792
|
hep-th/0207033
|
Daniele Perini
|
Roberto Percacci, Daniele Perini
|
Contraints on Matter from Asymptotic Safety
|
5 pages, 2 figures, revtex4; introduction expanded
|
Phys.Rev. D67 (2003) 081503
|
10.1103/PhysRevD.67.081503
| null |
hep-th gr-qc hep-ph
| null |
Recent studies of the ultraviolet behaviour of pure gravity suggest that it
admits a non-Gaussian attractive fixed point, and therefore that the theory is
asymptotically safe. We consider the effect on this fixed point of massless
minimally coupled matter fields. The existence of a UV attractive fixed point
puts bounds on the type and number of such fields.
|
[
{
"created": "Wed, 3 Jul 2002 19:12:21 GMT",
"version": "v1"
},
{
"created": "Sat, 10 Aug 2002 12:46:25 GMT",
"version": "v2"
},
{
"created": "Mon, 28 Apr 2003 12:19:20 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Percacci",
"Roberto",
""
],
[
"Perini",
"Daniele",
""
]
] |
Recent studies of the ultraviolet behaviour of pure gravity suggest that it admits a non-Gaussian attractive fixed point, and therefore that the theory is asymptotically safe. We consider the effect on this fixed point of massless minimally coupled matter fields. The existence of a UV attractive fixed point puts bounds on the type and number of such fields.
| 10.197208
| 7.598599
| 8.66603
| 7.35545
| 8.35952
| 8.173591
| 9.063923
| 7.603539
| 8.489297
| 8.748399
| 8.164637
| 8.306549
| 8.653685
| 8.296599
| 8.464181
| 8.232001
| 8.833137
| 8.19781
| 8.539123
| 8.703456
| 8.3058
|
hep-th/0011241
|
Gary Shiu
|
Chong-Sun Chu, Brian R. Greene, Gary Shiu
|
Remarks on Inflation and Noncommutative Geometry
|
5 pages, Revtex
|
Mod.Phys.Lett. A16 (2001) 2231-2240
|
10.1142/S0217732301005680
|
NEIP-00-019, CU-TP-997, UPR-913-T
|
hep-th astro-ph gr-qc hep-ph
| null |
We briefly discuss some possible cosmological implications of noncommutative
geometry. While the noncommutativity we consider does not affect gravity, it
can play an important role in the dynamics of other fields that are present in
the early universe. We point out the possibility that noncommutativity may
cause inflation induced fluctuations to become non-gaussian and anisotropic,
and may modify the short distance dispersion relations.
|
[
{
"created": "Mon, 27 Nov 2000 21:16:35 GMT",
"version": "v1"
},
{
"created": "Sat, 6 Oct 2001 16:34:10 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Chu",
"Chong-Sun",
""
],
[
"Greene",
"Brian R.",
""
],
[
"Shiu",
"Gary",
""
]
] |
We briefly discuss some possible cosmological implications of noncommutative geometry. While the noncommutativity we consider does not affect gravity, it can play an important role in the dynamics of other fields that are present in the early universe. We point out the possibility that noncommutativity may cause inflation induced fluctuations to become non-gaussian and anisotropic, and may modify the short distance dispersion relations.
| 8.708176
| 8.253013
| 8.083488
| 7.95804
| 8.06
| 7.97708
| 7.93236
| 8.071296
| 8.229018
| 8.886179
| 8.065504
| 7.695015
| 8.42769
| 7.834834
| 7.599172
| 7.82662
| 7.816797
| 7.856795
| 8.12691
| 8.37785
| 7.770669
|
1810.00342
|
Alexander Turbiner
|
Edward Shuryak and Alexander V Turbiner
|
Trans-series for the ground state density and Generalized Bloch equation
|
21 pages, 1 figure
|
Phys. Rev. D 98, 105007 (2018)
|
10.1103/PhysRevD.98.105007
| null |
hep-th math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Based on Generalized Bloch equation the trans-series expansion for the phase
(exponent) of the ground state density for double-well potential is
constructed. It is shown that the leading and next-to-leading semiclassical
terms are still defined by the flucton trajectory (its classical action) and
quadratic fluctuations (the determinant), respectively, while the the
next-to-next-to-leading correction (at large distances) is of non-perturbative
nature. It comes from the fact that all flucton plus multi-instanton,
instanton-anti-instanton classical trajectories lead to the same classical
action behavior at large distances! This correction is proportional to sum of
all leading instanton contributions to energy gap.
|
[
{
"created": "Sun, 30 Sep 2018 09:11:33 GMT",
"version": "v1"
}
] |
2018-11-21
|
[
[
"Shuryak",
"Edward",
""
],
[
"Turbiner",
"Alexander V",
""
]
] |
Based on Generalized Bloch equation the trans-series expansion for the phase (exponent) of the ground state density for double-well potential is constructed. It is shown that the leading and next-to-leading semiclassical terms are still defined by the flucton trajectory (its classical action) and quadratic fluctuations (the determinant), respectively, while the the next-to-next-to-leading correction (at large distances) is of non-perturbative nature. It comes from the fact that all flucton plus multi-instanton, instanton-anti-instanton classical trajectories lead to the same classical action behavior at large distances! This correction is proportional to sum of all leading instanton contributions to energy gap.
| 16.324911
| 15.792985
| 17.804747
| 15.024408
| 15.461673
| 16.799288
| 15.320964
| 15.385245
| 14.579789
| 17.703327
| 15.454364
| 14.953898
| 15.364051
| 14.70669
| 14.653546
| 14.678509
| 14.854452
| 14.339039
| 14.885076
| 15.527163
| 14.645349
|
2110.13174
|
F\'elix Rose
|
F\'elix Rose, Carlo Pagani and Nicolas Dupuis
|
Operator product expansion coefficients from the nonperturbative
functional renormalization group
|
11 pages, 4 figures. Final version
|
Phys. Rev. D 105, 065020 (2022)
|
10.1103/PhysRevD.105.065020
| null |
hep-th cond-mat.stat-mech
|
http://creativecommons.org/licenses/by/4.0/
|
Using the nonperturbative functional renormalization group (FRG) within the
Blaizot-M\'endez-Galain-Wschebor approximation, we compute the operator product
expansion (OPE) coefficient $c_{112}$ associated with the operators
$\mathcal{O}_1\sim\varphi$ and $\mathcal{O}_2\sim\varphi^2$ in the
three-dimensional $\mathrm{O}(N)$ universality class and in the Ising
universality class ($N=1$) in dimensions $2 \leq d \leq 4$. When available,
exact results and estimates from the conformal bootstrap and Monte-Carlo
simulations compare extremely well to our results, while FRG is able to provide
values across the whole range of $d$ and $N$ considered.
|
[
{
"created": "Mon, 25 Oct 2021 18:00:09 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Nov 2021 14:52:33 GMT",
"version": "v2"
},
{
"created": "Fri, 1 Apr 2022 12:16:54 GMT",
"version": "v3"
}
] |
2022-04-04
|
[
[
"Rose",
"Félix",
""
],
[
"Pagani",
"Carlo",
""
],
[
"Dupuis",
"Nicolas",
""
]
] |
Using the nonperturbative functional renormalization group (FRG) within the Blaizot-M\'endez-Galain-Wschebor approximation, we compute the operator product expansion (OPE) coefficient $c_{112}$ associated with the operators $\mathcal{O}_1\sim\varphi$ and $\mathcal{O}_2\sim\varphi^2$ in the three-dimensional $\mathrm{O}(N)$ universality class and in the Ising universality class ($N=1$) in dimensions $2 \leq d \leq 4$. When available, exact results and estimates from the conformal bootstrap and Monte-Carlo simulations compare extremely well to our results, while FRG is able to provide values across the whole range of $d$ and $N$ considered.
| 4.656142
| 5.397627
| 6.028765
| 4.906558
| 5.236885
| 5.716166
| 5.800869
| 5.201865
| 5.175129
| 6.165635
| 5.041838
| 4.753294
| 4.784605
| 4.611881
| 4.609618
| 4.740485
| 4.749821
| 4.538277
| 4.604679
| 4.642675
| 4.588816
|
hep-th/0303135
|
Kentaro Hori
|
Ilka Brunner and Kentaro Hori
|
Orientifolds and Mirror Symmetry
|
137 pages
|
JHEP0411:005,2004
|
10.1088/1126-6708/2004/11/005
|
CERN-TH/2003-061
|
hep-th
| null |
We study parity symmetries and crosscap states in classes of N=2
supersymmetric quantum field theories in 1+1 dimensions, including non-linear
sigma models, gauged WZW models, Landau-Ginzburg models, and linear sigma
models. The parity anomaly and its cancellation play important roles in many of
them. The case of the N=2 minimal model are studied in complete detail, from
all three realizations -- gauged WZW model, abstract RCFT, and LG models. We
also identify mirror pairs of orientifolds, extending the correspondence
between symplectic geometry and algebraic geometry by including unorientable
worldsheets. Through the analysis in various models and comparison in the
overlapping regimes, we obtain a global picture of orientifolds and D-branes.
|
[
{
"created": "Fri, 14 Mar 2003 17:08:40 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Jan 2004 18:45:06 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Brunner",
"Ilka",
""
],
[
"Hori",
"Kentaro",
""
]
] |
We study parity symmetries and crosscap states in classes of N=2 supersymmetric quantum field theories in 1+1 dimensions, including non-linear sigma models, gauged WZW models, Landau-Ginzburg models, and linear sigma models. The parity anomaly and its cancellation play important roles in many of them. The case of the N=2 minimal model are studied in complete detail, from all three realizations -- gauged WZW model, abstract RCFT, and LG models. We also identify mirror pairs of orientifolds, extending the correspondence between symplectic geometry and algebraic geometry by including unorientable worldsheets. Through the analysis in various models and comparison in the overlapping regimes, we obtain a global picture of orientifolds and D-branes.
| 11.100893
| 10.758037
| 13.594155
| 10.664798
| 11.560746
| 11.28334
| 10.956083
| 10.919719
| 10.172232
| 13.853391
| 10.594769
| 10.338838
| 12.130478
| 10.352039
| 10.649949
| 10.300654
| 9.902452
| 10.394771
| 10.360254
| 11.740111
| 10.324086
|
0907.4405
|
Vladimir Gudkov
|
Vladimir Gudkov, Shmuel Nussinov and Zohar Nussinov
|
Characterizing Planar Graphs
| null | null | null | null |
hep-th cond-mat.stat-mech math.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Cataloging planar diagrams using the depth concept is proposed.
|
[
{
"created": "Mon, 27 Jul 2009 16:49:48 GMT",
"version": "v1"
}
] |
2009-08-07
|
[
[
"Gudkov",
"Vladimir",
""
],
[
"Nussinov",
"Shmuel",
""
],
[
"Nussinov",
"Zohar",
""
]
] |
Cataloging planar diagrams using the depth concept is proposed.
| 362.841705
| 361.592438
| 189.238876
| 330.545898
| 394.087891
| 315.009888
| 143.313629
| 193.636581
| 203.637115
| 576.136536
| 155.607697
| 116.202507
| 306.440857
| 176.016632
| 156.343109
| 155.727631
| 100.277863
| 231.303757
| 140.372849
| 273.400208
| 114.670425
|
1603.09211
|
I. T. Drummond
|
I. T. Drummond
|
Bimetric QED
|
39 pages, 4 figures
|
Phys. Rev. D 95, 025006 (2017)
|
10.1103/PhysRevD.95.025006
|
DAMTP-2016-26
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study, as a model of Lorentz symmetry breaking, the quantisation and
renormalisation of an extension of QED in a flat spacetime where the photons
and electrons propagate differently and do not share the same lightcone. We
will refer to this model as Bimetric QED (BIMQED). As a preliminary we discuss
the formulation of electrodynamics in a pre-metric formalism showing
nevertheless that there is, on the basis of a simple criteron, a preferred
metric. Arising from this choice of metric is a Weyl-like tensor (WLT). The
Petrov classification of the WLT gives rise to a corresponding classification
of Lorentz symmetry breaking. We do not impose any constraint on the strength
of the symmetry breaking and are able to obtain explicit dispersion relations
for photon propagation in each of the Petrov classes. The associated
birefringence appears in some cases as two distinct polarisation dependent
lightcones and in other cases as a a more complicated structure that cannot be
disentangled in a simple way.
We show how in BIMQED the renormalisation procedure can, in addition to its
effect on standard parameters such as charge and mass, force the
renormalisation of the metrics and the WLT. Two particularly tractable cases
are studied in detail for which we can obtain renormalisation group flows for
the parameters of the model together with an analysis of fixed point structure.
Of course these results are consistent with previous studies but we are not
constrained to treat Lorentz symmetry breaking as necessarily weak. As we found
in a previous study of a scalar field theory model an acceptable causal
structure for the model imposes constraints on relationship between the various
lightcones in BIMQED.
|
[
{
"created": "Wed, 30 Mar 2016 14:27:47 GMT",
"version": "v1"
}
] |
2017-01-11
|
[
[
"Drummond",
"I. T.",
""
]
] |
We study, as a model of Lorentz symmetry breaking, the quantisation and renormalisation of an extension of QED in a flat spacetime where the photons and electrons propagate differently and do not share the same lightcone. We will refer to this model as Bimetric QED (BIMQED). As a preliminary we discuss the formulation of electrodynamics in a pre-metric formalism showing nevertheless that there is, on the basis of a simple criteron, a preferred metric. Arising from this choice of metric is a Weyl-like tensor (WLT). The Petrov classification of the WLT gives rise to a corresponding classification of Lorentz symmetry breaking. We do not impose any constraint on the strength of the symmetry breaking and are able to obtain explicit dispersion relations for photon propagation in each of the Petrov classes. The associated birefringence appears in some cases as two distinct polarisation dependent lightcones and in other cases as a a more complicated structure that cannot be disentangled in a simple way. We show how in BIMQED the renormalisation procedure can, in addition to its effect on standard parameters such as charge and mass, force the renormalisation of the metrics and the WLT. Two particularly tractable cases are studied in detail for which we can obtain renormalisation group flows for the parameters of the model together with an analysis of fixed point structure. Of course these results are consistent with previous studies but we are not constrained to treat Lorentz symmetry breaking as necessarily weak. As we found in a previous study of a scalar field theory model an acceptable causal structure for the model imposes constraints on relationship between the various lightcones in BIMQED.
| 10.093138
| 11.536901
| 10.721893
| 10.293445
| 11.591987
| 10.417808
| 11.60878
| 10.196671
| 10.818554
| 10.866672
| 10.466499
| 10.169836
| 10.339876
| 10.271692
| 10.259151
| 10.432676
| 10.252654
| 10.110022
| 10.380255
| 10.244335
| 10.37004
|
hep-th/9704058
|
Simon F. Ross
|
Gary T. Horowitz and Simon F. Ross
|
Naked Black Holes
|
19 pages, harvmac, no figures
|
Phys.Rev.D56:2180-2187,1997
|
10.1103/PhysRevD.56.2180
|
UCSBTH-97-05
|
hep-th gr-qc
| null |
It is shown that there are large static black holes for which all curvature
invariants are small near the event horizon, yet any object which falls in
experiences enormous tidal forces outside the horizon. These black holes are
charged and near extremality, and exist in a wide class of theories including
string theory. The implications for cosmic censorship and the black hole
information puzzle are discussed.
|
[
{
"created": "Mon, 7 Apr 1997 21:01:16 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Horowitz",
"Gary T.",
""
],
[
"Ross",
"Simon F.",
""
]
] |
It is shown that there are large static black holes for which all curvature invariants are small near the event horizon, yet any object which falls in experiences enormous tidal forces outside the horizon. These black holes are charged and near extremality, and exist in a wide class of theories including string theory. The implications for cosmic censorship and the black hole information puzzle are discussed.
| 10.119662
| 9.319097
| 8.895924
| 8.997462
| 8.3893
| 9.604798
| 9.010975
| 9.475057
| 8.765464
| 10.347706
| 9.185648
| 8.822701
| 8.920622
| 8.716754
| 8.566029
| 8.813465
| 8.599797
| 9.115508
| 9.289925
| 9.325119
| 9.053099
|
1405.7399
|
Marco Scalisi
|
Juan Garcia-Bellido, Diederik Roest, Marco Scalisi, Ivonne Zavala
|
Can CMB data constrain the inflationary field range?
|
15 pages, 7 figures. v2: minor typos corrected, refs added, JCAP
version
|
JCAP09(2014)006
|
10.1088/1475-7516/2014/09/006
|
IFT-UAM/CSIC-14-047
|
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study to what extent the spectral index $n_s$ and the tensor-to-scalar
ratio $r$ determine the field excursion $\Delta\phi$ during inflation. We
analyse the possible degeneracy of $\Delta \phi$ by comparing three broad
classes of inflationary models, with different dependence on the number of
e-foldings $N$, to benchmark models of chaotic inflation with monomial
potentials. The classes discussed cover a large set of inflationary single
field models. We find that the field range is not uniquely determined for any
value of $(n_s, r)$; one can have the same predictions as chaotic inflation and
a very different $\Delta \phi$. Intriguingly, we find that the field range
cannot exceed an upper bound that appears in different classes of models.
Finally, $\Delta \phi$ can even become sub-Planckian, but this requires to go
beyond the single-field slow-roll paradigm.
|
[
{
"created": "Wed, 28 May 2014 21:10:21 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Sep 2014 10:46:28 GMT",
"version": "v2"
}
] |
2014-09-08
|
[
[
"Garcia-Bellido",
"Juan",
""
],
[
"Roest",
"Diederik",
""
],
[
"Scalisi",
"Marco",
""
],
[
"Zavala",
"Ivonne",
""
]
] |
We study to what extent the spectral index $n_s$ and the tensor-to-scalar ratio $r$ determine the field excursion $\Delta\phi$ during inflation. We analyse the possible degeneracy of $\Delta \phi$ by comparing three broad classes of inflationary models, with different dependence on the number of e-foldings $N$, to benchmark models of chaotic inflation with monomial potentials. The classes discussed cover a large set of inflationary single field models. We find that the field range is not uniquely determined for any value of $(n_s, r)$; one can have the same predictions as chaotic inflation and a very different $\Delta \phi$. Intriguingly, we find that the field range cannot exceed an upper bound that appears in different classes of models. Finally, $\Delta \phi$ can even become sub-Planckian, but this requires to go beyond the single-field slow-roll paradigm.
| 7.712752
| 7.793783
| 7.32871
| 7.39947
| 7.764425
| 6.905295
| 8.061019
| 7.200284
| 6.974679
| 7.590125
| 7.194163
| 7.282269
| 7.468958
| 7.220085
| 7.317569
| 7.263518
| 7.349888
| 7.211321
| 7.209303
| 7.102157
| 7.326922
|
2207.14319
|
Shing Yan Li
|
Shing Yan Li, Washington Taylor
|
Gauge symmetry breaking with fluxes and natural Standard Model structure
from exceptional GUTs in F-theory
|
49 pages, 2 figures; v2: better example with explicit gauge divisor
geometry, remainder flux, and tadpole
|
JHEP 11 (2022) 089
|
10.1007/JHEP11(2022)089
|
MIT-CTP/5407
|
hep-th hep-ph math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We give a general description of gauge symmetry breaking using vertical and
remainder fluxes in 4D F-theory models. The fluxes can break a geometric gauge
group to a smaller group and induce chiral matter, even when the larger group
admits no chiral matter representations. We focus specifically on applications
to realizations of the Standard Model gauge group and chiral matter spectrum
through breaking of rigid exceptional gauge groups $E_7, E_6$, which are
ubiquitous in the 4D F-theory landscape. Supplemented by an intermediate
$\mathrm{SU}(5)$ group, these large classes of models give natural
constructions of Standard Model-like theories with small numbers of generations
of matter in F-theory.
|
[
{
"created": "Thu, 28 Jul 2022 18:00:05 GMT",
"version": "v1"
},
{
"created": "Sun, 23 Oct 2022 14:11:07 GMT",
"version": "v2"
}
] |
2022-11-21
|
[
[
"Li",
"Shing Yan",
""
],
[
"Taylor",
"Washington",
""
]
] |
We give a general description of gauge symmetry breaking using vertical and remainder fluxes in 4D F-theory models. The fluxes can break a geometric gauge group to a smaller group and induce chiral matter, even when the larger group admits no chiral matter representations. We focus specifically on applications to realizations of the Standard Model gauge group and chiral matter spectrum through breaking of rigid exceptional gauge groups $E_7, E_6$, which are ubiquitous in the 4D F-theory landscape. Supplemented by an intermediate $\mathrm{SU}(5)$ group, these large classes of models give natural constructions of Standard Model-like theories with small numbers of generations of matter in F-theory.
| 11.411775
| 11.03571
| 12.35253
| 10.54307
| 11.258536
| 11.996036
| 11.258403
| 11.283533
| 11.802066
| 14.304473
| 10.666064
| 11.307164
| 11.87454
| 10.593324
| 10.720069
| 10.817207
| 10.570673
| 10.83844
| 10.809382
| 11.653474
| 10.818698
|
hep-th/0005091
|
Gregory Moore
|
Diuliu-Emanuel Diaconescu, Gregory Moore, and Edward Witten
|
A Derivation of K-Theory from M-Theory
|
16pp. harvmac b-mode; small mistake corrected
| null | null |
IASSNS-HEP-00/38
|
hep-th
| null |
We show how some aspects of the K-theory classification of RR fluxes follow
from a careful analysis of the phase of the M-theory action. This is a
shortened and simplified companion paper to ``E8 Gauge Theory, and a Derivation
of K-Theory from M-Theory.''
|
[
{
"created": "Wed, 10 May 2000 14:45:47 GMT",
"version": "v1"
},
{
"created": "Fri, 16 May 2003 17:36:52 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Diaconescu",
"Diuliu-Emanuel",
""
],
[
"Moore",
"Gregory",
""
],
[
"Witten",
"Edward",
""
]
] |
We show how some aspects of the K-theory classification of RR fluxes follow from a careful analysis of the phase of the M-theory action. This is a shortened and simplified companion paper to ``E8 Gauge Theory, and a Derivation of K-Theory from M-Theory.''
| 10.041509
| 9.233025
| 15.980488
| 9.133759
| 11.517815
| 9.06043
| 10.688655
| 8.001582
| 9.211762
| 13.955419
| 9.716412
| 8.024698
| 10.887947
| 8.247169
| 8.09669
| 8.240362
| 8.475753
| 9.002497
| 8.53046
| 9.616292
| 8.462978
|
2302.08491
|
Daniele Bielli
|
Daniele Bielli, Vaibhav Gautam, Alessandro Torrielli
|
A study of integrable form factors in massless relativistic $AdS_2$
|
25 pages, 12 figures. V2: comments and references added, matches
published version. V3: error corrected and comments added
|
JHEP 06 (2023) 005
|
10.1007/JHEP06(2023)005
|
DMUS-MP-23/02
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we initiate the study of form factors for the massless
scattering of integrable $AdS_2$ superstrings, where the difference-form of the
$S$-matrix can be exploited to implement the relativistic form factor
bootstrap. The non-standard nature of the $S$-matrix implies that traditional
methods do not apply. We use the fact that the massless $AdS_2$ $S$-matrix is a
limit of a better-behaved $S$-matrix found by Fendley. We show that the
previously conjectured massless $AdS_2$ dressing factor coincides with the
limit of the De Martino - Moriconi improved dressing factor for the Fendley
$S$-matrix. After finding a method to construct integral representations of
relativistic dressing factors satisfying specific assumptions, we obtain
analytic proofs of crossing and unitarity relations and propose a solution to
the form factors constraints in the two-particle case.
|
[
{
"created": "Thu, 16 Feb 2023 18:50:22 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Jun 2023 08:29:46 GMT",
"version": "v2"
},
{
"created": "Sun, 23 Jul 2023 13:08:00 GMT",
"version": "v3"
}
] |
2023-07-25
|
[
[
"Bielli",
"Daniele",
""
],
[
"Gautam",
"Vaibhav",
""
],
[
"Torrielli",
"Alessandro",
""
]
] |
In this paper we initiate the study of form factors for the massless scattering of integrable $AdS_2$ superstrings, where the difference-form of the $S$-matrix can be exploited to implement the relativistic form factor bootstrap. The non-standard nature of the $S$-matrix implies that traditional methods do not apply. We use the fact that the massless $AdS_2$ $S$-matrix is a limit of a better-behaved $S$-matrix found by Fendley. We show that the previously conjectured massless $AdS_2$ dressing factor coincides with the limit of the De Martino - Moriconi improved dressing factor for the Fendley $S$-matrix. After finding a method to construct integral representations of relativistic dressing factors satisfying specific assumptions, we obtain analytic proofs of crossing and unitarity relations and propose a solution to the form factors constraints in the two-particle case.
| 10.082539
| 9.668816
| 11.081682
| 9.843131
| 9.625004
| 9.161769
| 8.993179
| 9.508567
| 9.611726
| 12.292293
| 9.963475
| 9.373959
| 9.730928
| 9.107499
| 9.355033
| 9.274984
| 9.09164
| 9.252121
| 9.03922
| 9.651628
| 9.357977
|
hep-th/0109157
|
Corneliu Sochichiu
|
C.Sochichiu
|
Interacting noncommutative solitons (vacua)
|
6 pages, no figures, Contribution to X International Colloquium
Quantum Groups and Integrable Systems June 21-23, Prague
|
Czech.J.Phys. 51 (2001) 1447-1452
|
10.1023/A:1013359112048
| null |
hep-th
| null |
We consider the dynamics of two interacting lumps/solitons in a
noncommutative gauge model. We show that equations of motion describing this
dynamics can be reduced to ones of a two-dimensional mechanical system which is
well studied and was shown to exhibit stochastic behaviour.
|
[
{
"created": "Thu, 20 Sep 2001 06:34:01 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Sochichiu",
"C.",
""
]
] |
We consider the dynamics of two interacting lumps/solitons in a noncommutative gauge model. We show that equations of motion describing this dynamics can be reduced to ones of a two-dimensional mechanical system which is well studied and was shown to exhibit stochastic behaviour.
| 15.793256
| 12.98513
| 12.174489
| 12.865314
| 11.946297
| 12.648813
| 13.446885
| 12.384233
| 12.855461
| 14.590962
| 11.374412
| 13.061731
| 12.568252
| 12.348084
| 12.689349
| 12.928294
| 12.526926
| 12.96276
| 13.350415
| 13.092286
| 13.17194
|
hep-th/0103097
|
Victor Gershun
|
V. D. Gershun
|
Bihamiltonity as origin of T-duality of the closed string model
|
6 pages, Latex 2e
|
Nucl.Phys.Proc.Suppl.102:71-76,2001
|
10.1016/S0920-5632(01)01538-9
| null |
hep-th
| null |
In assumption,that string model is the integrable model for particular kind
of the background fields, the closed string model in the background gravity
field and the antisymmetric B-field is considered as the bihamiltonian system.
It is shown, that bihamiltonity is origin of T-duality of the string models.
The new Poisson brackets, depending of the background fields and of their
derivatives, are obtained. The integrability condition is obtained as the
compactability of the bihamoltonity condition and the Jacobi identity of the
new Poisson bracket. The B-chiral string model is dual to the chiral string
model for the constant background fields.
|
[
{
"created": "Tue, 13 Mar 2001 19:38:12 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Mar 2001 14:07:57 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Gershun",
"V. D.",
""
]
] |
In assumption,that string model is the integrable model for particular kind of the background fields, the closed string model in the background gravity field and the antisymmetric B-field is considered as the bihamiltonian system. It is shown, that bihamiltonity is origin of T-duality of the string models. The new Poisson brackets, depending of the background fields and of their derivatives, are obtained. The integrability condition is obtained as the compactability of the bihamoltonity condition and the Jacobi identity of the new Poisson bracket. The B-chiral string model is dual to the chiral string model for the constant background fields.
| 15.532653
| 16.979261
| 16.231928
| 14.78385
| 15.24839
| 16.354128
| 15.334872
| 15.979429
| 14.081917
| 15.763845
| 13.799342
| 13.892013
| 14.248872
| 13.932575
| 14.29917
| 14.324715
| 13.981022
| 13.818424
| 13.77752
| 14.36134
| 13.892056
|
hep-th/9608069
|
Alexander Protogenov
|
L.A. Abramyan(1), V.I. Berezhiani(2), A.P. Protogenov (1,2) ((1) IAP,
Nizhny Novgorod, (2) ICTP, Trieste)
|
Collapse versus Turbulence
|
15 pages, LaTeX, four figures included using LaTeX and epsf
| null | null |
IC/96/116
|
hep-th chao-dyn nlin.CD
| null |
We study the solutions of the equations of motion in the gauged
(2+1)-dimensional nonlinear Schr\"odinger model. The contribution of
Chern-Simons gauge fields leads to a significant decrease of the critical power
of self-focusing. We also show that at appropriate boundary conditions in the
considered model there exists a regime of turbulent motions of hydrodynamic
type.
|
[
{
"created": "Mon, 12 Aug 1996 21:59:48 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Aug 1996 21:34:51 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Abramyan",
"L. A.",
""
],
[
"Berezhiani",
"V. I.",
""
],
[
"Protogenov",
"A. P.",
""
]
] |
We study the solutions of the equations of motion in the gauged (2+1)-dimensional nonlinear Schr\"odinger model. The contribution of Chern-Simons gauge fields leads to a significant decrease of the critical power of self-focusing. We also show that at appropriate boundary conditions in the considered model there exists a regime of turbulent motions of hydrodynamic type.
| 11.137547
| 10.471276
| 9.727421
| 9.438958
| 10.294792
| 10.193767
| 10.932288
| 9.538075
| 8.971428
| 11.061633
| 9.257256
| 9.237151
| 10.039702
| 9.411207
| 9.5288
| 9.824679
| 9.557825
| 9.026915
| 9.243727
| 10.2574
| 9.492447
|
hep-th/0010004
|
Shin'ichi Nojiri
|
Shin'ichi Nojiri, Sergei D. Odintsov and Sachiko Ogushi
|
A Dynamical Brane in the Gravitational Dual of ${\cal N}=2$ $Sp(N)$
Superconformal Field Theory
|
LaTeX file, 14 pages, minor changes (including title) to match with
published version
|
Prog.Theor.Phys.105:869-879,2001
|
10.1143/PTP.105.869
|
OCHA-PP-165, NDA-FP-83
|
hep-th
| null |
The particular model of d5 higher derivative gravity which is dual to ${\cal
N}=2$ $Sp(N)$ SCFT is considered. A (perturbative) AdS black hole in such
theory is constructed in the next-to-leading order of the AdS/CFT
correspondence. The surface counterterms are fixed by the conditions required
for a well-defined variational procedure and the finiteness of AdS space (when
the brane goes to infinity). A dynamical brane is realized at the boundary of
an AdS black hole with a radius that is larger than the horizon radius. The
AdS/CFT correspondence dictates the parameters of the gravitational dual in
such a way that the dynamical brane (the observable universe) always occurs
outside the horizon.
|
[
{
"created": "Sun, 1 Oct 2000 09:31:02 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Apr 2001 05:06:39 GMT",
"version": "v2"
},
{
"created": "Fri, 11 May 2001 04:20:45 GMT",
"version": "v3"
}
] |
2009-02-23
|
[
[
"Nojiri",
"Shin'ichi",
""
],
[
"Odintsov",
"Sergei D.",
""
],
[
"Ogushi",
"Sachiko",
""
]
] |
The particular model of d5 higher derivative gravity which is dual to ${\cal N}=2$ $Sp(N)$ SCFT is considered. A (perturbative) AdS black hole in such theory is constructed in the next-to-leading order of the AdS/CFT correspondence. The surface counterterms are fixed by the conditions required for a well-defined variational procedure and the finiteness of AdS space (when the brane goes to infinity). A dynamical brane is realized at the boundary of an AdS black hole with a radius that is larger than the horizon radius. The AdS/CFT correspondence dictates the parameters of the gravitational dual in such a way that the dynamical brane (the observable universe) always occurs outside the horizon.
| 12.506884
| 10.11891
| 12.714787
| 11.210681
| 10.200596
| 10.83521
| 11.046258
| 11.16171
| 10.236688
| 13.033211
| 10.719769
| 11.035613
| 11.705571
| 11.275731
| 11.041011
| 11.061058
| 11.113819
| 11.327558
| 11.45347
| 11.206122
| 11.268408
|
1911.09169
|
Carsten van de Bruck
|
Philippe Brax, Carsten van de Bruck, Anne-Christine Davis
|
The Swampland and Screened Modified Gravity
|
24 pages
|
Phys. Rev. D 101, 083514 (2020)
|
10.1103/PhysRevD.101.083514
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the implications of the swampland conjectures on scalar-tensor
theories defined in the Einstein frame in which the scalar interaction is
screened. We show that chameleon models are not in the swampland provided the
coupling to matter is larger than unity and the mass of the scalar field is
much larger than the Hubble rate. We apply these conditions to the inverse
power law chameleon and the symmetron. We then focus on the dilaton of string
theory in the strong coupling limit, as defined in the string frame. We show
that solar system tests of gravity imply that viable dilaton models are not in
the swampland. In the future of the Universe, if the low energy description
with a single scalar is still valid and the coupling to matter remains finite,
we find that the scalar field energy density must vanish for models with the
chameleon and symmetron mechanisms. Hence in these models dark energy is only a
transient phenomenon. This is not the case for the strongly coupled dilaton,
which keeps evolving slowly, leading to a quasi de Sitter space-time.
|
[
{
"created": "Wed, 20 Nov 2019 20:59:39 GMT",
"version": "v1"
}
] |
2020-04-15
|
[
[
"Brax",
"Philippe",
""
],
[
"van de Bruck",
"Carsten",
""
],
[
"Davis",
"Anne-Christine",
""
]
] |
We consider the implications of the swampland conjectures on scalar-tensor theories defined in the Einstein frame in which the scalar interaction is screened. We show that chameleon models are not in the swampland provided the coupling to matter is larger than unity and the mass of the scalar field is much larger than the Hubble rate. We apply these conditions to the inverse power law chameleon and the symmetron. We then focus on the dilaton of string theory in the strong coupling limit, as defined in the string frame. We show that solar system tests of gravity imply that viable dilaton models are not in the swampland. In the future of the Universe, if the low energy description with a single scalar is still valid and the coupling to matter remains finite, we find that the scalar field energy density must vanish for models with the chameleon and symmetron mechanisms. Hence in these models dark energy is only a transient phenomenon. This is not the case for the strongly coupled dilaton, which keeps evolving slowly, leading to a quasi de Sitter space-time.
| 7.437783
| 8.317978
| 7.141463
| 6.970862
| 8.273965
| 7.80954
| 8.318066
| 7.848091
| 7.351488
| 8.052734
| 7.651715
| 7.133615
| 7.151236
| 7.236219
| 7.325363
| 7.398976
| 7.377282
| 7.231226
| 7.320472
| 7.351912
| 7.481994
|
hep-th/9408008
| null |
Stefan Berceanu
|
The coherent states: old geometrical methods in new quantum clothes
|
4 pages, FT-398-1994
| null | null | null |
hep-th
| null |
A geometric characterization of transition amplitudes between coherent
states, or equivalently, of the hermitian scalar product of holomorphic cross
sections in the associated D - M tilda - module, in terms of the embedding of
the cohe- rent state manifold M-tilda into a projective Hilbert space is
proposed. Cohe- rent state manifolds endowed with a homogeneous kaehler
structure are conside- red. Using the coherent state approach, an effective
method to find the cut loci on symmetric manifolds and generalized symmetric
manifolds M-tilda is proposed. The CW - complex structure of coherent state
manifolds of flag type is discussed. Recent results of Anandan and Aharonov are
commented vis-a-vis of last century constructions in projective geometry.
Calculations with signi- ficance in coherent state approch furnish explicit
proofs of the results announ- ced by Y. C. Wong on conjugate locus in complex
Grassmann manifold.
|
[
{
"created": "Tue, 2 Aug 1994 09:54:00 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Berceanu",
"Stefan",
""
]
] |
A geometric characterization of transition amplitudes between coherent states, or equivalently, of the hermitian scalar product of holomorphic cross sections in the associated D - M tilda - module, in terms of the embedding of the cohe- rent state manifold M-tilda into a projective Hilbert space is proposed. Cohe- rent state manifolds endowed with a homogeneous kaehler structure are conside- red. Using the coherent state approach, an effective method to find the cut loci on symmetric manifolds and generalized symmetric manifolds M-tilda is proposed. The CW - complex structure of coherent state manifolds of flag type is discussed. Recent results of Anandan and Aharonov are commented vis-a-vis of last century constructions in projective geometry. Calculations with signi- ficance in coherent state approch furnish explicit proofs of the results announ- ced by Y. C. Wong on conjugate locus in complex Grassmann manifold.
| 20.029156
| 21.543756
| 22.875467
| 18.8002
| 22.888788
| 20.972752
| 22.468824
| 21.623213
| 19.06876
| 24.76996
| 20.042967
| 18.662155
| 19.202015
| 17.439034
| 19.431059
| 17.837944
| 18.910896
| 19.492437
| 18.47913
| 19.19212
| 18.426867
|
hep-th/0506251
|
Klaus Behrndt
|
Klaus Behrndt, Gabriel Lopes Cardoso and Swapna Mahapatra
|
Exploring the relation between 4D and 5D BPS solutions
|
33 pages; refs added
|
Nucl.Phys. B732 (2006) 200-223
|
10.1016/j.nuclphysb.2005.10.026
| null |
hep-th
| null |
Based on recent proposals linking four and five-dimensional BPS solutions, we
discuss the explicit dictionary between general stationary 4D and 5D
supersymmetric solutions in N=2 supergravity theories with cubic prepotentials.
All these solutions are completely determined in terms of the same set of
harmonic functions and the same set of attractor equations. As an example, we
discuss black holes and black rings in G\"odel-Taub-NUT spacetime. Then we
consider corrections to the 4D solutions associated with more general
prepotentials and comment on analogous corrections on the 5D side.
|
[
{
"created": "Wed, 29 Jun 2005 14:46:42 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Jul 2005 15:33:39 GMT",
"version": "v2"
}
] |
2010-04-05
|
[
[
"Behrndt",
"Klaus",
""
],
[
"Cardoso",
"Gabriel Lopes",
""
],
[
"Mahapatra",
"Swapna",
""
]
] |
Based on recent proposals linking four and five-dimensional BPS solutions, we discuss the explicit dictionary between general stationary 4D and 5D supersymmetric solutions in N=2 supergravity theories with cubic prepotentials. All these solutions are completely determined in terms of the same set of harmonic functions and the same set of attractor equations. As an example, we discuss black holes and black rings in G\"odel-Taub-NUT spacetime. Then we consider corrections to the 4D solutions associated with more general prepotentials and comment on analogous corrections on the 5D side.
| 10.282495
| 8.755332
| 10.421762
| 8.861032
| 9.074077
| 8.929597
| 9.243218
| 8.431624
| 8.86234
| 9.483455
| 8.414296
| 8.53658
| 9.15936
| 8.321405
| 8.657897
| 8.454227
| 8.274547
| 8.444355
| 8.482367
| 9.368266
| 8.451453
|
hep-th/0503008
|
Charles Young
|
Charles A. S. Young
|
Non-local charges, Zm gradings and coset space actions
|
18 pages, LaTeX, extended discussion in section 2, references added
|
Phys.Lett. B632 (2006) 559-565
|
10.1016/j.physletb.2005.10.090
| null |
hep-th
| null |
The construction of flat currents, and hence conserved non-local charges, for
the superstring on AdS_5 x S^5 is generalised. It is shown that such currents
exist for sigma-model type actions on all coset (super-)spaces G/H in which, at
the level of the Lie algebras, h is the grade-zero subspace of a Zm grading of
g. This is true for an essentially unique choice of the Wess-Zumino term, which
is determined.
|
[
{
"created": "Tue, 1 Mar 2005 11:43:56 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Aug 2005 17:18:20 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Young",
"Charles A. S.",
""
]
] |
The construction of flat currents, and hence conserved non-local charges, for the superstring on AdS_5 x S^5 is generalised. It is shown that such currents exist for sigma-model type actions on all coset (super-)spaces G/H in which, at the level of the Lie algebras, h is the grade-zero subspace of a Zm grading of g. This is true for an essentially unique choice of the Wess-Zumino term, which is determined.
| 12.565834
| 10.242857
| 11.228085
| 9.082323
| 9.934082
| 10.355172
| 9.782399
| 8.88474
| 9.896503
| 12.421659
| 9.085424
| 9.892448
| 11.56486
| 9.933239
| 9.201634
| 9.574445
| 9.243444
| 9.878199
| 9.828644
| 10.675312
| 9.280565
|
hep-th/9306055
|
Luigi Martina
|
L. Martina(1), O. K. Pashaev(2) and G. Soliani(1) ((1)Dipartimento di
Fisica dell'Universita' and (2)Sezione INFN, Lecce, Italy Joint Institute for
Nuclear Research)
|
Chern - Simons Gauge Field Theory of Two - Dimensional Ferromagnets
|
15 pages, Plain TeX, Lecce, June 1993
| null |
10.1103/PhysRevB.48.15787
| null |
hep-th
| null |
A Chern-Simons gauged Nonlinear Schr\"odinger Equation is derived from the
continuous Heisenberg model in 2+1 dimensions. The corresponding planar magnets
can be analyzed whithin the anyon theory. Thus, we show that static magnetic
vortices correspond to the self-dual Chern - Simons solitons and are described
by the Liouville equation. The related magnetic topological charge is
associated with the electric charge of anyons. Furthermore, vortex - antivortex
configurations are described by the sinh-Gordon equation and its conformally
invariant extension. Physical consequences of these results are discussed.
|
[
{
"created": "Fri, 11 Jun 1993 16:23:24 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Martina",
"L.",
""
],
[
"Pashaev",
"O. K.",
""
],
[
"Soliani",
"G.",
""
]
] |
A Chern-Simons gauged Nonlinear Schr\"odinger Equation is derived from the continuous Heisenberg model in 2+1 dimensions. The corresponding planar magnets can be analyzed whithin the anyon theory. Thus, we show that static magnetic vortices correspond to the self-dual Chern - Simons solitons and are described by the Liouville equation. The related magnetic topological charge is associated with the electric charge of anyons. Furthermore, vortex - antivortex configurations are described by the sinh-Gordon equation and its conformally invariant extension. Physical consequences of these results are discussed.
| 10.156738
| 9.70236
| 10.551605
| 9.133095
| 8.798272
| 8.945223
| 9.508275
| 9.322907
| 9.308291
| 11.097344
| 9.330159
| 9.418401
| 10.190787
| 9.275437
| 9.612906
| 9.381856
| 9.49611
| 9.45049
| 9.11352
| 10.20477
| 9.593653
|
1607.00391
|
Brenno Carlini Vallilo
|
Osvaldo Chandia, William Divine Linch III and Brenno Carlini Vallilo
|
Master symmetry in the $AdS_5\times S^5$ pure spinor string
|
16 pages
| null |
10.1007/JHEP01(2017)024
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We lift the set of classical non-local symmetries recently studied by Klose,
Loebbert, and M\"unkler in the context of $\mathbb Z_2$ cosets to the pure
spinor description of the superstring in the $AdS_5\times S^5$ background.
|
[
{
"created": "Fri, 1 Jul 2016 20:00:25 GMT",
"version": "v1"
}
] |
2017-02-01
|
[
[
"Chandia",
"Osvaldo",
""
],
[
"Linch",
"William Divine",
"III"
],
[
"Vallilo",
"Brenno Carlini",
""
]
] |
We lift the set of classical non-local symmetries recently studied by Klose, Loebbert, and M\"unkler in the context of $\mathbb Z_2$ cosets to the pure spinor description of the superstring in the $AdS_5\times S^5$ background.
| 15.157535
| 9.740872
| 14.219195
| 9.529354
| 9.603574
| 9.166117
| 11.854271
| 9.573048
| 8.701813
| 17.146662
| 9.782512
| 9.774375
| 12.885148
| 10.284505
| 10.145594
| 9.353317
| 9.575272
| 10.695364
| 10.450157
| 14.2447
| 9.578112
|
hep-th/9909051
|
Mauro Varela
|
I. Martin, J. Ovalle and A. Restuccia
|
Stable Solutions of the Double Compactified D=11 Supermembrane Dual
|
14 pages, latex
|
Phys.Lett. B472 (2000) 77-82
|
10.1016/S0370-2693(99)01424-0
| null |
hep-th
| null |
The hamiltonian formulation of the supersymmetric closed 2-brane dual to the
double compactified D=11 closed supermembrane is presented. The formulation is
in terms of two U(1) vector fields related by the area preserving constraint of
the SUSY 2-brane. Stable solutions of the field equations, which are local
minima of the hamiltonian, are found. In the semiclassical approximation around
the stable solutions the action becomes the reduction of D=10 Super-Maxwell to
the worldvolume. The solutions carry RR charges as a type of magnetic charges
associated with the worldvolume vector field. The geometrical interpretation of
the solution in terms of U(1) line bundles over the worldvolume is obtained.
|
[
{
"created": "Thu, 9 Sep 1999 00:11:49 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Martin",
"I.",
""
],
[
"Ovalle",
"J.",
""
],
[
"Restuccia",
"A.",
""
]
] |
The hamiltonian formulation of the supersymmetric closed 2-brane dual to the double compactified D=11 closed supermembrane is presented. The formulation is in terms of two U(1) vector fields related by the area preserving constraint of the SUSY 2-brane. Stable solutions of the field equations, which are local minima of the hamiltonian, are found. In the semiclassical approximation around the stable solutions the action becomes the reduction of D=10 Super-Maxwell to the worldvolume. The solutions carry RR charges as a type of magnetic charges associated with the worldvolume vector field. The geometrical interpretation of the solution in terms of U(1) line bundles over the worldvolume is obtained.
| 11.426147
| 11.835922
| 11.834182
| 10.65828
| 10.966783
| 10.79502
| 11.547608
| 10.771781
| 10.69886
| 13.869963
| 10.760904
| 10.470016
| 11.433845
| 10.846449
| 11.348859
| 11.100718
| 10.685821
| 10.948689
| 10.793223
| 10.923455
| 10.877242
|
1206.7083
|
Rafael Porto
|
Diana Lopez Nacir, Rafael A. Porto and Matias Zaldarriaga
|
The consistency condition for the three-point function in dissipative
single-clock inflation
|
26+11 pages
| null |
10.1088/1475-7516/2012/09/004
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We generalize the consistency condition for the three-point function in
single field inflation to the case of dissipative, multi-field, single-clock
models. We use the recently introduced extension of the effective field theory
of inflation that accounts for dissipative effects, to provide an explicit
proof to leading (non-trivial) order in the generalized slow roll parameters
and mixing with gravity scales. Our results illustrate the conditions necessary
for the validity of the consistency relation in situations with many degrees of
freedom relevant during inflation, namely that there is a preferred clock.
Departures from this condition in forthcoming experiments would rule out not
only single field but also a large class of multi-field models.
|
[
{
"created": "Fri, 29 Jun 2012 17:33:17 GMT",
"version": "v1"
}
] |
2015-06-05
|
[
[
"Nacir",
"Diana Lopez",
""
],
[
"Porto",
"Rafael A.",
""
],
[
"Zaldarriaga",
"Matias",
""
]
] |
We generalize the consistency condition for the three-point function in single field inflation to the case of dissipative, multi-field, single-clock models. We use the recently introduced extension of the effective field theory of inflation that accounts for dissipative effects, to provide an explicit proof to leading (non-trivial) order in the generalized slow roll parameters and mixing with gravity scales. Our results illustrate the conditions necessary for the validity of the consistency relation in situations with many degrees of freedom relevant during inflation, namely that there is a preferred clock. Departures from this condition in forthcoming experiments would rule out not only single field but also a large class of multi-field models.
| 13.490306
| 14.525527
| 14.408003
| 13.301126
| 13.21694
| 13.279702
| 12.640594
| 12.802341
| 13.260195
| 13.878396
| 12.483257
| 13.051965
| 12.976425
| 12.612727
| 12.949638
| 12.867266
| 13.411765
| 12.69715
| 12.93979
| 12.773578
| 12.794576
|
2403.18008
|
Kiril Hristov
|
Kiril Hristov and Riccardo Giordana Pozzi
|
Black hole thermodynamics in natural variables: the BTZ case
|
5 pages
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It has been recently shown for a wide range of black hole solutions in 4 and
5 dimensions that it is useful to reorganize the conventional thermodynamics on
the inner and outer horizons in terms of left- and right-moving variables. The
insight of arXiv:2310.13437 regarding the split of variables was loosely
inspired by the example of the BTZ black hole and the corresponding dual
CFT$_2$ thermodynamics governed by the Cardy formula. Here we revisit the BTZ
case and its generalizations in 3d gravity theories with higher derivative
corrections, and show formally the applicability of the newly defined variables
and their direct relation to the Cardy formula, which is not a priori
guaranteed.
|
[
{
"created": "Tue, 26 Mar 2024 18:00:07 GMT",
"version": "v1"
}
] |
2024-03-28
|
[
[
"Hristov",
"Kiril",
""
],
[
"Pozzi",
"Riccardo Giordana",
""
]
] |
It has been recently shown for a wide range of black hole solutions in 4 and 5 dimensions that it is useful to reorganize the conventional thermodynamics on the inner and outer horizons in terms of left- and right-moving variables. The insight of arXiv:2310.13437 regarding the split of variables was loosely inspired by the example of the BTZ black hole and the corresponding dual CFT$_2$ thermodynamics governed by the Cardy formula. Here we revisit the BTZ case and its generalizations in 3d gravity theories with higher derivative corrections, and show formally the applicability of the newly defined variables and their direct relation to the Cardy formula, which is not a priori guaranteed.
| 11.515129
| 10.020265
| 10.414126
| 9.585243
| 10.71198
| 10.043575
| 10.094921
| 9.956682
| 9.412738
| 12.083447
| 9.542119
| 9.442407
| 10.292605
| 9.618654
| 9.930046
| 9.85729
| 9.611376
| 9.790007
| 9.658978
| 10.311171
| 9.915385
|
2209.03922
|
Matthew von Hippel
|
Andreas Forum and Matt von Hippel
|
A Symbol and Coaction for Higher-Loop Sunrise Integrals
|
29 pages, 1 figure, one ancillary file; v4: Minor changes requested
by referees at SciPost
| null | null | null |
hep-th hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We construct a symbol and coaction for $l$-loop sunrise integrals, both for
the equal-mass and generic-mass cases. These constitute the first concrete
examples of symbols and coactions for integrals involving Calabi-Yau threefolds
and higher. In order to achieve a symbol of finite length, we recast the
differential equations satisfied by the master integrals of this topology in
the form of a unipotent differential equation. We augment the basis of master
integrals in a natural way by including ratios of maximal cuts $\tau_i$. We
discuss the relationship of this construction to constructions of symbols and
coactions for multiple polylogarithms and elliptic multiple polylogarithms, in
particular its connection to notions of transcendental weight.
|
[
{
"created": "Thu, 8 Sep 2022 17:01:48 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Jan 2023 06:47:54 GMT",
"version": "v2"
},
{
"created": "Thu, 9 Mar 2023 08:26:01 GMT",
"version": "v3"
},
{
"created": "Fri, 12 May 2023 13:18:55 GMT",
"version": "v4"
}
] |
2023-05-15
|
[
[
"Forum",
"Andreas",
""
],
[
"von Hippel",
"Matt",
""
]
] |
We construct a symbol and coaction for $l$-loop sunrise integrals, both for the equal-mass and generic-mass cases. These constitute the first concrete examples of symbols and coactions for integrals involving Calabi-Yau threefolds and higher. In order to achieve a symbol of finite length, we recast the differential equations satisfied by the master integrals of this topology in the form of a unipotent differential equation. We augment the basis of master integrals in a natural way by including ratios of maximal cuts $\tau_i$. We discuss the relationship of this construction to constructions of symbols and coactions for multiple polylogarithms and elliptic multiple polylogarithms, in particular its connection to notions of transcendental weight.
| 12.285073
| 10.696236
| 12.161654
| 10.091177
| 11.042656
| 10.018354
| 10.991334
| 9.764392
| 9.447267
| 11.610975
| 10.140224
| 10.207473
| 10.866059
| 10.080709
| 9.60765
| 9.882516
| 10.259765
| 9.907
| 10.214234
| 11.610767
| 9.961232
|
1011.1491
|
Sven Krippendorf
|
Sven Krippendorf, Fernando Quevedo, Oliver Schlotterer
|
Cambridge Lectures on Supersymmetry and Extra Dimensions
|
130 pages, 22 figures, these lectures were given in Part III of the
Mathematical Tripos at the University of Cambridge. Videos of these lectures
can be found online at http://www.sms.cam.ac.uk/collection/659537
| null | null |
DAMTP-2010-90, MPP-2010-143
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
These lectures on supersymmetry and extra dimensions are aimed at finishing
undergraduate and beginning postgraduate students with a background in quantum
field theory and group theory. Basic knowledge in general relativity might be
advantageous for the discussion of extra dimensions. This course was taught as
a 24+1 lecture course in Part III of the Mathematical Tripos in recent years.
The first six chapters give an introduction to supersymmetry in four spacetime
dimensions, they fill about two thirds of the lecture notes and are in
principle self-contained. The remaining two chapters are devoted to extra
spacetime dimensions which are in the end combined with the concept of
supersymmetry. Videos from the course lectured in 2006 can be found online at
http://www.sms.cam.ac.uk/collection/659537 .
|
[
{
"created": "Fri, 5 Nov 2010 19:39:47 GMT",
"version": "v1"
}
] |
2010-11-08
|
[
[
"Krippendorf",
"Sven",
""
],
[
"Quevedo",
"Fernando",
""
],
[
"Schlotterer",
"Oliver",
""
]
] |
These lectures on supersymmetry and extra dimensions are aimed at finishing undergraduate and beginning postgraduate students with a background in quantum field theory and group theory. Basic knowledge in general relativity might be advantageous for the discussion of extra dimensions. This course was taught as a 24+1 lecture course in Part III of the Mathematical Tripos in recent years. The first six chapters give an introduction to supersymmetry in four spacetime dimensions, they fill about two thirds of the lecture notes and are in principle self-contained. The remaining two chapters are devoted to extra spacetime dimensions which are in the end combined with the concept of supersymmetry. Videos from the course lectured in 2006 can be found online at http://www.sms.cam.ac.uk/collection/659537 .
| 9.227679
| 11.526188
| 9.838836
| 9.273746
| 11.06515
| 11.832537
| 11.165287
| 10.586913
| 9.977274
| 10.43745
| 10.394977
| 9.071668
| 9.131514
| 8.816138
| 9.274476
| 9.031889
| 8.726507
| 8.848705
| 9.362062
| 9.498134
| 8.791769
|
hep-th/0501049
|
Jan-Markus Schwindt
|
Jan-Markus Schwindt, Christof Wetterich
|
Dark energy cosmologies for codimension-two branes
|
18 pages
|
Nucl.Phys. B726 (2005) 75-92
|
10.1016/j.nuclphysb.2005.07.037
| null |
hep-th
| null |
A six-dimensional universe with two branes in the "football-shaped" geometry
leads to an almost realistic cosmology. We describe a family of exact solutions
with time dependent characteristic size of internal space. After a short
inflationary period the late cosmology is either of quintessence type or turns
to a radiation dominated Friedmann universe where the cosmological constant
appears as a free integration constant of the solution. The radiation dominated
universe with relativistic fermions is analyzed in detail, including its
dimensional reduction.
|
[
{
"created": "Fri, 7 Jan 2005 16:27:13 GMT",
"version": "v1"
}
] |
2010-04-05
|
[
[
"Schwindt",
"Jan-Markus",
""
],
[
"Wetterich",
"Christof",
""
]
] |
A six-dimensional universe with two branes in the "football-shaped" geometry leads to an almost realistic cosmology. We describe a family of exact solutions with time dependent characteristic size of internal space. After a short inflationary period the late cosmology is either of quintessence type or turns to a radiation dominated Friedmann universe where the cosmological constant appears as a free integration constant of the solution. The radiation dominated universe with relativistic fermions is analyzed in detail, including its dimensional reduction.
| 16.193405
| 18.081169
| 15.686567
| 14.094496
| 17.068098
| 16.731871
| 19.263174
| 15.030219
| 14.410579
| 15.617497
| 15.022649
| 15.177435
| 14.530374
| 14.926891
| 15.767841
| 15.819379
| 15.023855
| 14.689204
| 14.481827
| 14.605949
| 14.405047
|
0801.4399
|
Tomasz Radozycki
|
Tomasz Radozycki
|
Instantons and the infrared behavior of the fermion propagator in the
Schwinger Model
|
9 pages, in REVTEX
|
Eur.Phys.J.C55:509-516,2008
|
10.1140/epjc/s10052-008-0622-6
| null |
hep-th
| null |
Fermion propagator of the Schwinger Model is revisited from the point of view
of its infrared behavior. The values of anomalous dimensions are found in
arbitrary covariant gauge and in all contributing instanton sectors. In the
case of a gauge invariant, but path dependent propagator, the exponential
dependence, instead of power law one, is established for the special case when
the path is a straight line. The leading behavior is almost identical in any
sector, differing only by the slowly varying, algebraic prefactors. The other
kind of the gauge invariant function, which is the amplitude of the dressed
Dirac fermions, may be reduced, by the appropriate choice of the dressing, to
the gauge variant one, if Landau gauge is imposed.
|
[
{
"created": "Mon, 28 Jan 2008 23:23:48 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Jan 2008 22:35:22 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Radozycki",
"Tomasz",
""
]
] |
Fermion propagator of the Schwinger Model is revisited from the point of view of its infrared behavior. The values of anomalous dimensions are found in arbitrary covariant gauge and in all contributing instanton sectors. In the case of a gauge invariant, but path dependent propagator, the exponential dependence, instead of power law one, is established for the special case when the path is a straight line. The leading behavior is almost identical in any sector, differing only by the slowly varying, algebraic prefactors. The other kind of the gauge invariant function, which is the amplitude of the dressed Dirac fermions, may be reduced, by the appropriate choice of the dressing, to the gauge variant one, if Landau gauge is imposed.
| 15.969353
| 15.614131
| 14.770909
| 13.783247
| 14.697255
| 15.197063
| 14.914268
| 14.320354
| 13.336541
| 14.869082
| 14.616107
| 14.361418
| 14.29776
| 14.355195
| 14.255396
| 14.343529
| 14.283726
| 13.97391
| 14.268806
| 14.091313
| 14.020818
|
hep-th/9908044
|
Jeremy Michelson
|
Jeremy Michelson and Andrew Strominger
|
Superconformal Multi-Black Hole Quantum Mechanics
|
17 pages AMSLaTeX with JHEP.cls, using epsf.tex for 3 eps figures.
Typos corrected. References added
|
JHEP 9909:005,1999
|
10.1088/1126-6708/1999/09/005
|
HUTP-99/A047
|
hep-th
| null |
The quantum mechanics of N slowly-moving charged BPS black holes in
five-dimensional ${\cal N}=1$ supergravity is considered. The moduli space
metric of the N black holes is derived and shown to admit 4 supersymmetries. A
near-horizon limit is found in which the dynamics of widely separated black
holes decouples from that of strongly-interacting, near-coincident black holes.
This decoupling suggests that the quantum states supported in the near-horizon
moduli space can be interpreted as internal states of a single composite black
hole carrying all of the charge. The near-horizon theory is shown to have an
enhanced D(2,1;0) superconformal symmetry. Eigenstates of the Hamiltonian H of
the near-horizon theory are ill-defined due to noncompact regions of the moduli
space corresponding to highly redshifted near-coincident black holes. It is
argued that one should consider, instead of H eigenstates, eigenstates of $2
L_0 = H+K$, where K is the generator of special conformal transformations. The
result is a well-defined Hilbert space with a discrete spectrum describing the
N-black hole dynamics.
|
[
{
"created": "Thu, 5 Aug 1999 21:53:13 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Aug 1999 20:36:55 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Michelson",
"Jeremy",
""
],
[
"Strominger",
"Andrew",
""
]
] |
The quantum mechanics of N slowly-moving charged BPS black holes in five-dimensional ${\cal N}=1$ supergravity is considered. The moduli space metric of the N black holes is derived and shown to admit 4 supersymmetries. A near-horizon limit is found in which the dynamics of widely separated black holes decouples from that of strongly-interacting, near-coincident black holes. This decoupling suggests that the quantum states supported in the near-horizon moduli space can be interpreted as internal states of a single composite black hole carrying all of the charge. The near-horizon theory is shown to have an enhanced D(2,1;0) superconformal symmetry. Eigenstates of the Hamiltonian H of the near-horizon theory are ill-defined due to noncompact regions of the moduli space corresponding to highly redshifted near-coincident black holes. It is argued that one should consider, instead of H eigenstates, eigenstates of $2 L_0 = H+K$, where K is the generator of special conformal transformations. The result is a well-defined Hilbert space with a discrete spectrum describing the N-black hole dynamics.
| 7.270598
| 6.946404
| 8.521196
| 6.737586
| 7.005397
| 7.073235
| 6.834723
| 6.739027
| 6.649297
| 8.464026
| 6.885574
| 7.281942
| 7.496282
| 6.865415
| 6.975096
| 7.221689
| 6.802012
| 7.13138
| 6.954313
| 7.422256
| 7.075838
|
1812.09238
|
Christian Marboe
|
Christian Marboe, Dmytro Volin
|
The full spectrum of AdS$_5$/CFT$_4$ II: Weak coupling expansion via the
quantum spectral curve
|
47 pages, 2 Mathematica notebooks
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We continue the effort to optimise and generalise the solution of the
spectral problem of AdS$_5$/CFT$_4$ in the planar limit via integrability. We
present a simple strategy to solve the quantum spectral curve perturbatively
for general states by focusing on the $\mathbf{P}\mu$-system. A Mathematica
notebook with an implementation of this algorithm is provided, as well as an
extensive database with a user-friendly interface containing more than 8.000
solutions of the QSC. When investigating the solution space, we observe a
curious phenomenon: existence of solutions for which the Q-system degenerates
in the limit $g\to 0$. These degeneracies are lifted at higher orders in
perturbation theory. The degenerating solutions have auxiliary Bethe roots
merging with branch points at weak coupling.
|
[
{
"created": "Fri, 21 Dec 2018 16:30:02 GMT",
"version": "v1"
}
] |
2018-12-24
|
[
[
"Marboe",
"Christian",
""
],
[
"Volin",
"Dmytro",
""
]
] |
We continue the effort to optimise and generalise the solution of the spectral problem of AdS$_5$/CFT$_4$ in the planar limit via integrability. We present a simple strategy to solve the quantum spectral curve perturbatively for general states by focusing on the $\mathbf{P}\mu$-system. A Mathematica notebook with an implementation of this algorithm is provided, as well as an extensive database with a user-friendly interface containing more than 8.000 solutions of the QSC. When investigating the solution space, we observe a curious phenomenon: existence of solutions for which the Q-system degenerates in the limit $g\to 0$. These degeneracies are lifted at higher orders in perturbation theory. The degenerating solutions have auxiliary Bethe roots merging with branch points at weak coupling.
| 11.888271
| 10.455358
| 14.472435
| 11.546865
| 10.049463
| 10.897211
| 11.092866
| 10.602949
| 11.097601
| 14.303371
| 10.718103
| 11.128893
| 12.287435
| 11.508207
| 11.559649
| 11.354551
| 11.431849
| 11.186062
| 11.469659
| 11.990454
| 11.117847
|
hep-th/9706158
|
Angel Uranga
|
G. Aldazabal, A. Font, L.E. Ibanez, A.M.Uranga, G. Violero
|
Non-Perturbative Heterotic D=6,4 Orbifold Vacua
|
58 pages, plain Latex, no figures. References corrected
|
Nucl.Phys.B519:239-281,1998
|
10.1016/S0550-3213(98)00007-8
|
FTUAM 97/6, UCVFC-DF/11-97
|
hep-th hep-ph
| null |
We consider D=6, N=1, Z_M orbifold compactifications of heterotic strings in
which the usual modular invariance constraints are violated. It is argued that
in the presence of non-perturbative effects many of these vacua are
nevertheless consistent. The perturbative massless sector can be computed
explicitly from the perturbative mass formula subject to an extra shift in the
vacuum energy. This shift is associated to a non-trivial antisymmetric B-field
flux at the orbifold fixed points. The non-perturbative piece is given by
five-branes either moving in the bulk or stuck at the fixed points, giving rise
to Coulomb phases with tensor multiplets. The heterotic duals of some Type IIB
orientifolds belong to this class of orbifold models. We also discuss how to
carry out this type of construction to the D=4, N=1 case and specific
$Z_M\times Z_M$ examples are presented in which non-perturbative transitions
changing the number of chiral generations do occur.
|
[
{
"created": "Mon, 23 Jun 1997 18:53:30 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Jun 1997 17:00:02 GMT",
"version": "v2"
}
] |
2016-09-06
|
[
[
"Aldazabal",
"G.",
""
],
[
"Font",
"A.",
""
],
[
"Ibanez",
"L. E.",
""
],
[
"Uranga",
"A. M.",
""
],
[
"Violero",
"G.",
""
]
] |
We consider D=6, N=1, Z_M orbifold compactifications of heterotic strings in which the usual modular invariance constraints are violated. It is argued that in the presence of non-perturbative effects many of these vacua are nevertheless consistent. The perturbative massless sector can be computed explicitly from the perturbative mass formula subject to an extra shift in the vacuum energy. This shift is associated to a non-trivial antisymmetric B-field flux at the orbifold fixed points. The non-perturbative piece is given by five-branes either moving in the bulk or stuck at the fixed points, giving rise to Coulomb phases with tensor multiplets. The heterotic duals of some Type IIB orientifolds belong to this class of orbifold models. We also discuss how to carry out this type of construction to the D=4, N=1 case and specific $Z_M\times Z_M$ examples are presented in which non-perturbative transitions changing the number of chiral generations do occur.
| 9.036113
| 9.124055
| 8.986198
| 8.071564
| 9.728451
| 8.952953
| 9.854842
| 8.564631
| 8.71384
| 9.27412
| 8.411291
| 8.790813
| 8.875746
| 8.515121
| 8.748722
| 8.820577
| 9.045623
| 8.719432
| 8.505703
| 8.728065
| 8.763289
|
hep-th/9207063
|
Norisuke Sakai
|
Norisuke Sakai and Yoshiaki Tanii
|
Physical Degrees of Freedom in 2-D String Field Theories
|
10 pages, TIT/HEP-203, STUPP-92-129
|
Mod.Phys.Lett.A7:3479-3486,1992
|
10.1142/S0217732392002883
| null |
hep-th
| null |
States in the absolute (semi-relative) cohomology but not in the relative
cohomology are examined through the component decomposition of the string field
theory action for the 2-D string. It is found that they are auxiliary fields
without kinetic terms, but are important for instance in the master equation
for the Ward-Takahashi identities. The ghost structure is analyzed in the
Siegel gauge, but it is noted that the absolute (semi-relative) cohomology
states are lost.
|
[
{
"created": "Mon, 20 Jul 1992 12:11:09 GMT",
"version": "v1"
}
] |
2010-11-01
|
[
[
"Sakai",
"Norisuke",
""
],
[
"Tanii",
"Yoshiaki",
""
]
] |
States in the absolute (semi-relative) cohomology but not in the relative cohomology are examined through the component decomposition of the string field theory action for the 2-D string. It is found that they are auxiliary fields without kinetic terms, but are important for instance in the master equation for the Ward-Takahashi identities. The ghost structure is analyzed in the Siegel gauge, but it is noted that the absolute (semi-relative) cohomology states are lost.
| 18.753017
| 13.501408
| 16.651024
| 14.517184
| 15.624789
| 13.054048
| 13.806467
| 13.58257
| 13.387041
| 18.743217
| 15.02716
| 13.734992
| 15.128685
| 14.422299
| 13.822534
| 14.644741
| 14.767669
| 14.701562
| 14.4437
| 15.104645
| 14.195318
|
1401.0999
|
Alfredo Herrera-Aguilar
|
Alfredo Herrera-Aguilar, Alma D. Rojas and Eli Santos-Rodriguez
|
Localization of gauge fields in a tachyonic de Sitter thick braneworld
|
7 pages in latex, no figures
| null |
10.1140/epjc/s10052-014-2770-1
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we show that universal gauge vector fields can be localized on
the recently proposed 5D thick tachyonic braneworld which involves a de Sitter
cosmological background induced on the 3-brane. Namely, by performing a
suitable decomposition of the vector field, the resulting 4D effective action
corresponds to a massive gauge field, while the profile along the extra
dimension obeys a Schroedinger-like equation with a Poeschl-Teller potential.
It turns out that the massless zero mode of the gauge field is bound to the
expanding 3-brane and allows us to recover the standard 4D electromagnetic
phenomena of our world. Moreover, this zero mode is separated from the
continuum of Kaluza-Klein (KK) modes by a mass gap determined by the scale of
the expansion parameter. We also were able to analytically solve the
corresponding Schroedinger-like equation for arbitrary mass, showing that KK
massive modes asymptotically behave like plane waves as expected.
|
[
{
"created": "Mon, 6 Jan 2014 07:10:46 GMT",
"version": "v1"
},
{
"created": "Sun, 2 Feb 2014 04:56:36 GMT",
"version": "v2"
}
] |
2014-04-22
|
[
[
"Herrera-Aguilar",
"Alfredo",
""
],
[
"Rojas",
"Alma D.",
""
],
[
"Santos-Rodriguez",
"Eli",
""
]
] |
In this work we show that universal gauge vector fields can be localized on the recently proposed 5D thick tachyonic braneworld which involves a de Sitter cosmological background induced on the 3-brane. Namely, by performing a suitable decomposition of the vector field, the resulting 4D effective action corresponds to a massive gauge field, while the profile along the extra dimension obeys a Schroedinger-like equation with a Poeschl-Teller potential. It turns out that the massless zero mode of the gauge field is bound to the expanding 3-brane and allows us to recover the standard 4D electromagnetic phenomena of our world. Moreover, this zero mode is separated from the continuum of Kaluza-Klein (KK) modes by a mass gap determined by the scale of the expansion parameter. We also were able to analytically solve the corresponding Schroedinger-like equation for arbitrary mass, showing that KK massive modes asymptotically behave like plane waves as expected.
| 8.427869
| 6.989428
| 7.932518
| 7.102384
| 7.616801
| 7.355832
| 7.319019
| 7.363942
| 7.111359
| 8.093223
| 7.142213
| 7.83164
| 8.083839
| 7.789206
| 7.764442
| 7.725051
| 7.652532
| 7.822685
| 7.991326
| 8.075389
| 7.7103
|
0712.4068
|
Keisuke Okamura
|
Nick Dorey and Keisuke Okamura
|
Singularities of the Magnon Boundstate S-Matrix
|
32 pages, 9 figures
|
JHEP 0803:037,2008
|
10.1088/1126-6708/2008/03/037
|
DAMTP-2007-126, UT-07-20
|
hep-th
| null |
We study the conjectured exact S-matrix for the scattering of BPS magnon
boundstates in the spin-chain description of planar N=4 SUSY Yang-Mills. The
conjectured S-matrix exhibits both simple and double poles at complex momenta.
Some of these poles lie parametrically close to the real axis in momentum space
on the branch where particle energies are positive. We show that all such poles
are precisely accounted for by physical processes involving one or more
on-shell intermediate particles belonging to the known BPS spectrum.
|
[
{
"created": "Tue, 25 Dec 2007 13:14:50 GMT",
"version": "v1"
}
] |
2009-12-15
|
[
[
"Dorey",
"Nick",
""
],
[
"Okamura",
"Keisuke",
""
]
] |
We study the conjectured exact S-matrix for the scattering of BPS magnon boundstates in the spin-chain description of planar N=4 SUSY Yang-Mills. The conjectured S-matrix exhibits both simple and double poles at complex momenta. Some of these poles lie parametrically close to the real axis in momentum space on the branch where particle energies are positive. We show that all such poles are precisely accounted for by physical processes involving one or more on-shell intermediate particles belonging to the known BPS spectrum.
| 9.474098
| 8.796594
| 11.675288
| 8.817782
| 9.307302
| 8.702497
| 9.891792
| 8.712152
| 8.940804
| 11.881557
| 8.772916
| 9.002308
| 9.673741
| 9.300926
| 9.815373
| 8.756194
| 9.056026
| 9.580505
| 9.167706
| 10.015672
| 9.170823
|
2003.06819
|
Fernando Tadeu Caldeira Brandt
|
F T Brandt, J Frenkel, S Martins-Filho and D G C McKeon
|
Consistency Conditions for the First-Order Formulation of Yang-Mills
Theory
|
15 pages, 6 figures
|
Phys. Rev. D 101, 085013 (2020)
|
10.1103/PhysRevD.101.085013
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We examine the self-consistency of the first-order formulation of the
Yang-Mills theory. By comparing the generating functional $Z$ before and after
integrating out the additional field $F^a_{\mu\nu}$, we derive a set of
structural identities that must be satisfied by the Green's functions at all
orders. These identities, which hold in any dimension, are distinct from the
usual Ward identities and are necessary for the internal consistency of the
first-order formalism. They relate the Green's functions involving the fields
$F^a_{\mu\nu}$, to Green's functions in the second-order formulation which
contain the gluon strength tensor $f^a_{\mu\nu}$. In particular, such
identities may provide a simple physical interpretation of the additional field
$F^a_{\mu\nu}$.
|
[
{
"created": "Sun, 15 Mar 2020 12:50:38 GMT",
"version": "v1"
}
] |
2020-04-29
|
[
[
"Brandt",
"F T",
""
],
[
"Frenkel",
"J",
""
],
[
"Martins-Filho",
"S",
""
],
[
"McKeon",
"D G C",
""
]
] |
We examine the self-consistency of the first-order formulation of the Yang-Mills theory. By comparing the generating functional $Z$ before and after integrating out the additional field $F^a_{\mu\nu}$, we derive a set of structural identities that must be satisfied by the Green's functions at all orders. These identities, which hold in any dimension, are distinct from the usual Ward identities and are necessary for the internal consistency of the first-order formalism. They relate the Green's functions involving the fields $F^a_{\mu\nu}$, to Green's functions in the second-order formulation which contain the gluon strength tensor $f^a_{\mu\nu}$. In particular, such identities may provide a simple physical interpretation of the additional field $F^a_{\mu\nu}$.
| 5.766632
| 5.074173
| 5.549475
| 5.167935
| 5.152957
| 5.266863
| 5.39184
| 5.257348
| 5.098926
| 6.537829
| 5.125911
| 5.369029
| 5.388017
| 5.318224
| 5.239583
| 5.432376
| 5.235807
| 5.320989
| 5.401845
| 5.514482
| 5.266809
|
2112.07630
|
Klaas Parmentier
|
Manvir Grewal and Klaas Parmentier
|
Characters, quasinormal modes, and Schwinger pairs in $dS_2$ with flux
|
38 pages, 9 figures, v4 (minor update in boundary calculation)
| null |
10.1007/JHEP03(2022)165
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
An integral representation of the 1-loop partition function for charged
scalars and spinors, minimally coupled to a uniform $U(1)$ field on $S^2$, is
given in terms of $SO(1,2)$ Harish-Chandra group characters and evaluated
exactly in terms of Hurwitz $\zeta$-functions. Analytically continuing the
$U(1)$ field, we interpret the path integrals as quasicanonical partition
functions in $dS_2$ with an electric field. The character itself is obtained as
a trace over states living at the future boundary of de Sitter and has a
quasinormal mode expansion. The imaginary part of the partition function
captures Schwinger pair creation in the static patch at finite temperature. The
thermal enhancement is most noticeable for scalar masses below Hubble and leads
to non-monotonicity of the current as a function of the field. This parameter
range, when dimensionally reducing from a charged or rotating Nariai spacetime,
is excluded by Swampland-inspired bounds. Around the $AdS_2$ black hole, in
contrast to $dS_2$, there is a threshold to pair creation.
|
[
{
"created": "Tue, 14 Dec 2021 18:20:40 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Jan 2022 16:57:57 GMT",
"version": "v2"
},
{
"created": "Mon, 7 Mar 2022 16:59:13 GMT",
"version": "v3"
},
{
"created": "Fri, 25 Nov 2022 18:12:54 GMT",
"version": "v4"
}
] |
2022-11-28
|
[
[
"Grewal",
"Manvir",
""
],
[
"Parmentier",
"Klaas",
""
]
] |
An integral representation of the 1-loop partition function for charged scalars and spinors, minimally coupled to a uniform $U(1)$ field on $S^2$, is given in terms of $SO(1,2)$ Harish-Chandra group characters and evaluated exactly in terms of Hurwitz $\zeta$-functions. Analytically continuing the $U(1)$ field, we interpret the path integrals as quasicanonical partition functions in $dS_2$ with an electric field. The character itself is obtained as a trace over states living at the future boundary of de Sitter and has a quasinormal mode expansion. The imaginary part of the partition function captures Schwinger pair creation in the static patch at finite temperature. The thermal enhancement is most noticeable for scalar masses below Hubble and leads to non-monotonicity of the current as a function of the field. This parameter range, when dimensionally reducing from a charged or rotating Nariai spacetime, is excluded by Swampland-inspired bounds. Around the $AdS_2$ black hole, in contrast to $dS_2$, there is a threshold to pair creation.
| 11.209602
| 10.317364
| 11.863372
| 10.074568
| 10.31892
| 11.109884
| 10.64975
| 10.054976
| 10.131455
| 11.986975
| 10.565521
| 10.330266
| 11.051754
| 10.288258
| 10.490442
| 10.417313
| 10.434098
| 10.476448
| 10.170413
| 10.85722
| 10.389063
|
2304.00982
|
Ovidiu Racorean Mr
|
Ovidiu Racorean
|
Eternal black holes and quantum temporal correlations
|
11 pages, Essay written for the Gravity Research Foundation 2023
Awards for Essays on Gravitation
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
It was recently suggested that quantum theory may support a unification of
the notions of space and time, as such, treating the spatial and temporal
correlations equally. To be more precise, the partial transposition of the
maximally entangled state of two quantum systems at one time exactly matches
the temporal correlations of one quantum system that unitary evolved between
two distinct moments of time. In this essay we consider this equivalence of
spatial and temporal correlations in the context of AdS/CFT correspondence. We
argue that in the high temperature limit the thermofield double state is the
equivalent of temporal correlation of a quantum theory unitary evolving at two
times. Thus, on the gravity side, we imagine that the temporal correlations
correspond to a black hole at one time connected behind the horizon to the same
black hole at another time by an Einstein-Rosen bridge. We show that the
correspondent spacetime of this temporal wormhole is the interior solution of
AdS-Schwarzschild black hole. Implications of this correspondence are briefly
considered.
|
[
{
"created": "Fri, 31 Mar 2023 16:53:45 GMT",
"version": "v1"
}
] |
2023-04-04
|
[
[
"Racorean",
"Ovidiu",
""
]
] |
It was recently suggested that quantum theory may support a unification of the notions of space and time, as such, treating the spatial and temporal correlations equally. To be more precise, the partial transposition of the maximally entangled state of two quantum systems at one time exactly matches the temporal correlations of one quantum system that unitary evolved between two distinct moments of time. In this essay we consider this equivalence of spatial and temporal correlations in the context of AdS/CFT correspondence. We argue that in the high temperature limit the thermofield double state is the equivalent of temporal correlation of a quantum theory unitary evolving at two times. Thus, on the gravity side, we imagine that the temporal correlations correspond to a black hole at one time connected behind the horizon to the same black hole at another time by an Einstein-Rosen bridge. We show that the correspondent spacetime of this temporal wormhole is the interior solution of AdS-Schwarzschild black hole. Implications of this correspondence are briefly considered.
| 10.384525
| 10.599287
| 10.812391
| 10.420957
| 10.557332
| 10.509701
| 11.015031
| 9.531917
| 10.602714
| 11.938822
| 10.52829
| 9.893752
| 10.059011
| 9.948197
| 9.740183
| 10.308141
| 10.162094
| 9.958485
| 10.044105
| 10.12833
| 9.860045
|
1901.06859
|
Tao Wang
|
Towe Wang
|
Shear quasinormal modes of Gauss-Bonnet black brane: the first
post-hydrodynamic order
|
19 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Assuming $\omega=\sum_n C^{(n)}q^{2n}$ in the low-frequency limit, we apply
the refined recipe to compute the dispersion relation of shear quasinormal
modes of the Gauss-Bonnet black brane. Treating the Gauss-Bonnet parameter
$\lagb$ nonperturbatively and the momentum $q$ perturbatively, we work out
$C^{(1)}$, $C^{(2)}$, confirm previous results in the literature and pave the
way to a general formula for $C^{(n)}$.
|
[
{
"created": "Mon, 21 Jan 2019 10:23:38 GMT",
"version": "v1"
}
] |
2019-01-23
|
[
[
"Wang",
"Towe",
""
]
] |
Assuming $\omega=\sum_n C^{(n)}q^{2n}$ in the low-frequency limit, we apply the refined recipe to compute the dispersion relation of shear quasinormal modes of the Gauss-Bonnet black brane. Treating the Gauss-Bonnet parameter $\lagb$ nonperturbatively and the momentum $q$ perturbatively, we work out $C^{(1)}$, $C^{(2)}$, confirm previous results in the literature and pave the way to a general formula for $C^{(n)}$.
| 10.413852
| 9.721206
| 10.58276
| 9.259953
| 9.774139
| 10.048447
| 9.179436
| 10.035151
| 9.959501
| 11.368861
| 9.797485
| 9.036796
| 9.446685
| 9.094052
| 8.997411
| 8.702186
| 8.813052
| 9.096056
| 9.216151
| 9.6088
| 9.404482
|
hep-th/9604076
|
Jose Luis Cortes
|
Mario Atance and Jose Luis Cortes
|
Effective Field Theory of pure Gravity and the Renormalization Group
|
latex, 9 pages, minor correction, version published
|
Phys.Lett. B387 (1996) 697-700
|
10.1016/0370-2693(96)01102-1
|
DFTUZ/96-10
|
hep-th hep-ph
| null |
The general structure of the renormalization group equations for the low
energy effective field theory formulation of pure gravity is presented. The
solution of these equations takes a particular simple form if the mass scale of
the effective theory is much smaller than the Planck mass (a possibility
compatible with the renormalization of the effective theory). A theory with
just one free renormalized parameter is obtained when contributions suppressed
by inverse powers of the Planck mass are neglected.
|
[
{
"created": "Mon, 15 Apr 1996 09:10:16 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Dec 1996 15:42:35 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Atance",
"Mario",
""
],
[
"Cortes",
"Jose Luis",
""
]
] |
The general structure of the renormalization group equations for the low energy effective field theory formulation of pure gravity is presented. The solution of these equations takes a particular simple form if the mass scale of the effective theory is much smaller than the Planck mass (a possibility compatible with the renormalization of the effective theory). A theory with just one free renormalized parameter is obtained when contributions suppressed by inverse powers of the Planck mass are neglected.
| 8.947772
| 8.268396
| 7.854781
| 7.359448
| 8.477391
| 7.790805
| 8.543011
| 7.72205
| 8.098556
| 7.806438
| 7.75575
| 8.045656
| 7.8982
| 7.798656
| 7.726757
| 8.132585
| 8.158344
| 8.109041
| 7.99474
| 8.195735
| 8.05393
|
2202.11012
|
Dalimil Mazac
|
Thomas Hartman, Dalimil Mazac, David Simmons-Duffin, Alexander
Zhiboedov
|
Snowmass White Paper: The Analytic Conformal Bootstrap
|
Contribution to Snowmass 2022; 15 pages + references
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
The analytic conformal bootstrap is an array of techniques to characterize,
constrain, and solve strongly interacting quantum field theories using
symmetries, causality, unitarity, and other general principles. In the last
decade, bolstered by the development of new Lorentzian methods, it has been
used to solve conformal field theories at large spin; to place bounds on energy
distributions, event shapes, operator product coefficients, and other
observables; and to understand aspects of quantum gravity in anti-de Sitter
space. We review these advances and highlight several promising areas for
future exploration. Targets include developing new methods to close the gap
between numerical and analytic bounds, extending the bootstrap beyond conformal
fixed points, applications to quantum gravity and cosmology, and building on
ties to condensed matter theory and mathematics.
|
[
{
"created": "Tue, 22 Feb 2022 16:31:44 GMT",
"version": "v1"
}
] |
2022-02-23
|
[
[
"Hartman",
"Thomas",
""
],
[
"Mazac",
"Dalimil",
""
],
[
"Simmons-Duffin",
"David",
""
],
[
"Zhiboedov",
"Alexander",
""
]
] |
The analytic conformal bootstrap is an array of techniques to characterize, constrain, and solve strongly interacting quantum field theories using symmetries, causality, unitarity, and other general principles. In the last decade, bolstered by the development of new Lorentzian methods, it has been used to solve conformal field theories at large spin; to place bounds on energy distributions, event shapes, operator product coefficients, and other observables; and to understand aspects of quantum gravity in anti-de Sitter space. We review these advances and highlight several promising areas for future exploration. Targets include developing new methods to close the gap between numerical and analytic bounds, extending the bootstrap beyond conformal fixed points, applications to quantum gravity and cosmology, and building on ties to condensed matter theory and mathematics.
| 9.705724
| 10.505021
| 10.086184
| 9.661007
| 10.574251
| 10.139553
| 10.088177
| 9.666575
| 9.129284
| 10.686358
| 10.116883
| 9.602873
| 9.621511
| 9.517347
| 9.390054
| 9.707138
| 9.434814
| 9.603924
| 9.805463
| 10.190578
| 9.258102
|
hep-th/0103044
|
Arne Lykke Larsen
|
A.L. Larsen and N. S\'anchez
|
New Coherent String States and Minimal Uncertainty in WZWN Models
|
More discussion on relation to previous work. More references added.
14 pages, Latex, no figures
|
Nucl.Phys. B618 (2001) 301-311
|
10.1016/S0550-3213(01)00512-0
| null |
hep-th gr-qc
| null |
We study the properties of {\bf exact} (all level $k$) quantum coherent
states in the context of string theory on a group manifold (WZWN models).
Coherent states of WZWN models may help to solve the unitarity problem: Having
positive norm, they consistently describe the very massive string states
(otherwise excluded by the spin-level condition). These states can be
constructed by (at least) two alternative procedures: (i) as the exponential of
the creation operator on the ground state, and (ii) as eigenstates of the
annhilation operator. In the $k\to\infty$ limit, all the known properties of
ordinary coherent states are recovered. States (i) and (ii) (which are
equivalent in the context of ordinary quantum mechanics and string theory in
flat spacetime) are not equivalent in the context of WZWN models. The set (i)
was constructed by these authors in a previous article. In this paper we
provide the construction of states (ii), we compare the two sets and discuss
their properties. We analyze the uncertainty relation, and show that states
(ii) satisfy automatically the {\it minimal uncertainty} condition for any $k$;
they are thus {\it quasiclassical}, in some sense more classical than states
(i) which only satisfy it in the $k\to\infty$ limit. Modification to the
Heisenberg relation is given by $2 {\cal H}/k$, where ${\cal H}$ is connected
to the string energy.
|
[
{
"created": "Wed, 7 Mar 2001 13:57:54 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Jul 2001 11:22:05 GMT",
"version": "v2"
}
] |
2016-08-16
|
[
[
"Larsen",
"A. L.",
""
],
[
"Sánchez",
"N.",
""
]
] |
We study the properties of {\bf exact} (all level $k$) quantum coherent states in the context of string theory on a group manifold (WZWN models). Coherent states of WZWN models may help to solve the unitarity problem: Having positive norm, they consistently describe the very massive string states (otherwise excluded by the spin-level condition). These states can be constructed by (at least) two alternative procedures: (i) as the exponential of the creation operator on the ground state, and (ii) as eigenstates of the annhilation operator. In the $k\to\infty$ limit, all the known properties of ordinary coherent states are recovered. States (i) and (ii) (which are equivalent in the context of ordinary quantum mechanics and string theory in flat spacetime) are not equivalent in the context of WZWN models. The set (i) was constructed by these authors in a previous article. In this paper we provide the construction of states (ii), we compare the two sets and discuss their properties. We analyze the uncertainty relation, and show that states (ii) satisfy automatically the {\it minimal uncertainty} condition for any $k$; they are thus {\it quasiclassical}, in some sense more classical than states (i) which only satisfy it in the $k\to\infty$ limit. Modification to the Heisenberg relation is given by $2 {\cal H}/k$, where ${\cal H}$ is connected to the string energy.
| 8.51388
| 8.131759
| 8.546746
| 7.887083
| 8.604929
| 8.584598
| 8.841143
| 8.408006
| 8.141647
| 9.01585
| 8.066302
| 8.082598
| 8.166366
| 8.027193
| 8.075176
| 8.13859
| 8.043627
| 7.841883
| 7.920476
| 8.116757
| 8.0517
|
1012.1858
|
Liam McAllister
|
Marcus Berg, David Marsh, Liam McAllister, Enrico Pajer
|
Sequestering in String Compactifications
|
47 pages
| null |
10.1007/JHEP06(2011)134
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the mediation of supersymmetry breaking in string compactifications
whose moduli are stabilized by nonperturbative effects. We begin with a
critical review of arguments for sequestering in supergravity and in string
theory. We then show that geometric isolation, even in a highly warped space,
is insufficient to achieve sequestering: in type IIB compactifications,
nonperturbative superpotentials involving the Kahler moduli introduce
cross-couplings between well-separated visible and hidden sectors. The scale of
the resulting soft terms depends on the moduli stabilization scenario. In the
Large Volume Scenario, nonperturbative superpotential contributions to the soft
trilinear $A$ terms can introduce significant flavor violation, while in KKLT
compactifications their effects are negligible. In both cases, the
contributions to the $\mu$ and $B\mu$ parameters cannot be ignored in general.
We conclude that sequestered supersymmetry breaking is possible in
nonperturbatively-stabilized compactifications only if a mechanism in addition
to bulk locality suppresses superpotential cross-couplings.
|
[
{
"created": "Wed, 8 Dec 2010 21:00:04 GMT",
"version": "v1"
}
] |
2015-05-20
|
[
[
"Berg",
"Marcus",
""
],
[
"Marsh",
"David",
""
],
[
"McAllister",
"Liam",
""
],
[
"Pajer",
"Enrico",
""
]
] |
We study the mediation of supersymmetry breaking in string compactifications whose moduli are stabilized by nonperturbative effects. We begin with a critical review of arguments for sequestering in supergravity and in string theory. We then show that geometric isolation, even in a highly warped space, is insufficient to achieve sequestering: in type IIB compactifications, nonperturbative superpotentials involving the Kahler moduli introduce cross-couplings between well-separated visible and hidden sectors. The scale of the resulting soft terms depends on the moduli stabilization scenario. In the Large Volume Scenario, nonperturbative superpotential contributions to the soft trilinear $A$ terms can introduce significant flavor violation, while in KKLT compactifications their effects are negligible. In both cases, the contributions to the $\mu$ and $B\mu$ parameters cannot be ignored in general. We conclude that sequestered supersymmetry breaking is possible in nonperturbatively-stabilized compactifications only if a mechanism in addition to bulk locality suppresses superpotential cross-couplings.
| 6.102177
| 6.505336
| 6.44398
| 6.512069
| 6.521188
| 6.542359
| 6.59595
| 6.186214
| 6.384463
| 6.61122
| 5.958388
| 6.052135
| 6.131896
| 5.994976
| 6.235813
| 6.091525
| 6.082942
| 6.035686
| 5.917973
| 6.206997
| 5.938179
|
hep-th/0202184
|
Jerome P. Gauntlett
|
Jerome P. Gauntlett, Nakwoo Kim, Stathis Pakis and Daniel Waldram
|
M-Theory solutions with AdS factors
|
30 pages. References added
|
Class.Quant.Grav. 19 (2002) 3927-3946
|
10.1088/0264-9381/19/15/305
|
QMUL-PH-02-04
|
hep-th
| null |
Solutions of D=7 maximal gauged supergravity are constructed with metrics
that are a product of a n-dimensional anti-de Sitter (AdS) space, with
n=2,3,4,5, and certain Einstein manifolds. The gauge fields have the same form
as in the recently constructed solutions describing the near-horizon limits of
M5-branes wrapping supersymmetric cycles. The new solutions do not preserve any
supersymmetry and can be uplifted to obtain new solutions of D=11 supergravity,
which are warped and twisted products of the D=7 metric with a squashed
four-sphere. Some aspects of the stability of the solutions are discussed.
|
[
{
"created": "Tue, 26 Feb 2002 19:33:49 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Mar 2002 12:10:08 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Gauntlett",
"Jerome P.",
""
],
[
"Kim",
"Nakwoo",
""
],
[
"Pakis",
"Stathis",
""
],
[
"Waldram",
"Daniel",
""
]
] |
Solutions of D=7 maximal gauged supergravity are constructed with metrics that are a product of a n-dimensional anti-de Sitter (AdS) space, with n=2,3,4,5, and certain Einstein manifolds. The gauge fields have the same form as in the recently constructed solutions describing the near-horizon limits of M5-branes wrapping supersymmetric cycles. The new solutions do not preserve any supersymmetry and can be uplifted to obtain new solutions of D=11 supergravity, which are warped and twisted products of the D=7 metric with a squashed four-sphere. Some aspects of the stability of the solutions are discussed.
| 6.450724
| 5.854556
| 7.265443
| 5.656866
| 6.217184
| 6.155414
| 6.113069
| 5.739887
| 5.54852
| 6.581325
| 5.550357
| 5.546801
| 5.933736
| 5.742383
| 5.609787
| 5.780508
| 5.567895
| 5.82562
| 5.615321
| 5.940416
| 5.791678
|
1607.07457
|
Nathan Seiberg
|
Po-Shen Hsin and Nathan Seiberg
|
Level/rank Duality and Chern-Simons-Matter Theories
|
36 pages, clarifications about the fixed point with several flavors
| null |
10.1007/JHEP09(2016)095
| null |
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss in detail level/rank duality in three-dimensional Chern-Simons
theories and various related dualities in three-dimensional Chern-Simons-matter
theories. We couple the dual Lagrangians to appropriate background fields
(including gauge fields, spin$_c$ connections and the metric). The non-trivial
maps between the currents and the line operators in the dual theories is
accounted for by mixing of these fields. In order for the duality to be valid
we must add finite counterterms depending on these background fields. This
analysis allows us to resolve a number of puzzles with these dualities, to
provide derivations of some of them, and to find new consistency conditions and
relations between them. In addition, we find new level/rank dualities of
topological Chern-Simons theories and new dualities of Chern-Simons-matter
theories, including new boson/boson and fermion/fermion dualities.
|
[
{
"created": "Mon, 25 Jul 2016 20:04:08 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Aug 2016 18:11:44 GMT",
"version": "v2"
}
] |
2016-10-12
|
[
[
"Hsin",
"Po-Shen",
""
],
[
"Seiberg",
"Nathan",
""
]
] |
We discuss in detail level/rank duality in three-dimensional Chern-Simons theories and various related dualities in three-dimensional Chern-Simons-matter theories. We couple the dual Lagrangians to appropriate background fields (including gauge fields, spin$_c$ connections and the metric). The non-trivial maps between the currents and the line operators in the dual theories is accounted for by mixing of these fields. In order for the duality to be valid we must add finite counterterms depending on these background fields. This analysis allows us to resolve a number of puzzles with these dualities, to provide derivations of some of them, and to find new consistency conditions and relations between them. In addition, we find new level/rank dualities of topological Chern-Simons theories and new dualities of Chern-Simons-matter theories, including new boson/boson and fermion/fermion dualities.
| 8.233043
| 7.763949
| 8.810445
| 7.196699
| 7.339013
| 7.899031
| 7.158258
| 7.14486
| 7.683936
| 9.176114
| 7.165766
| 7.297041
| 8.246315
| 7.62134
| 7.527666
| 7.481675
| 7.480659
| 7.576554
| 7.567794
| 8.561426
| 7.208284
|
hep-th/9405042
| null |
Daniel I. Fivel
|
How Interference Effects in Mixtures Determine the Rules of Quantum
Mechanics
|
27 pages of text in harvmac plus six figures appended to the end of
the file
| null |
10.1103/PhysRevA.50.2108
| null |
hep-th gr-qc
| null |
It is shown that elementary indistinguishability properties of partially
polarized mixtures are consistent only with the conventional Hilbert space
model of quantum mechanics and a few exotic alternatives. This applies even in
low dimensions where quantum logic and Gleason's theorem give either weak or no
constraints. Experimental methods for eliminating the exotic cases (which
include quaternionic and octonionic variants of quantum mechanics) are
described.
|
[
{
"created": "Mon, 9 May 1994 04:39:35 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Fivel",
"Daniel I.",
""
]
] |
It is shown that elementary indistinguishability properties of partially polarized mixtures are consistent only with the conventional Hilbert space model of quantum mechanics and a few exotic alternatives. This applies even in low dimensions where quantum logic and Gleason's theorem give either weak or no constraints. Experimental methods for eliminating the exotic cases (which include quaternionic and octonionic variants of quantum mechanics) are described.
| 18.896936
| 18.212502
| 18.009933
| 17.402786
| 19.778118
| 22.011082
| 20.338192
| 20.976242
| 18.228155
| 23.105289
| 18.831171
| 18.197531
| 18.669418
| 17.095331
| 18.949089
| 18.072359
| 18.494547
| 18.992205
| 17.994495
| 19.641893
| 17.653811
|
hep-th/0703005
|
Emil M. Prodanov
|
Emil M. Prodanov, Rossen I. Ivanov, and V.G. Gueorguiev
|
Reissner-Nordstrom Expansion
|
9 pages, LaTeX
|
Astropart.Phys.27:150-154,2007
|
10.1016/j.astropartphys.2006.10.003
| null |
hep-th astro-ph gr-qc
| null |
We propose a classical mechanism for the cosmic expansion during the
radiation-dominated era. This mechanism assumes that the Universe is a
two-component gas. The first component is a gas of ultra-relativistic "normal"
particles described by an equation of state of an ideal quantum gas of massless
particles. The second component consist of "unusual" charged particles (namely,
either with ultra-high charge or with ultra-high mass) that provide the
important mechanism of expansion due to their interaction with the "normal"
component of the gas. This interaction is described by the
Reissner--Nordstr\"om metric purely geometrically -- the ``unusual'' particles
are modeled as zero-dimensional naked singularities inside spheres of
gravitational repulsion. The radius of a repulsive sphere is inversely
proportional to the energy of an incoming particle or the temperature. The
expansion mechanism is based on the inflating of the "unusual" particles (of
charge $Q$) with the drop of the temperature -- this drives apart all neutral
particles and particles of specific charge $q/m$ such that ${sign}(Q) q/m \ge -
1$. The Reissner--Nordstr\"om expansion naturally ends at recombination. We
discuss the range of model parameters within which the proposed expansion
mechanism is consistent with the restrictions regarding quantum effects.
|
[
{
"created": "Thu, 1 Mar 2007 11:21:45 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Prodanov",
"Emil M.",
""
],
[
"Ivanov",
"Rossen I.",
""
],
[
"Gueorguiev",
"V. G.",
""
]
] |
We propose a classical mechanism for the cosmic expansion during the radiation-dominated era. This mechanism assumes that the Universe is a two-component gas. The first component is a gas of ultra-relativistic "normal" particles described by an equation of state of an ideal quantum gas of massless particles. The second component consist of "unusual" charged particles (namely, either with ultra-high charge or with ultra-high mass) that provide the important mechanism of expansion due to their interaction with the "normal" component of the gas. This interaction is described by the Reissner--Nordstr\"om metric purely geometrically -- the ``unusual'' particles are modeled as zero-dimensional naked singularities inside spheres of gravitational repulsion. The radius of a repulsive sphere is inversely proportional to the energy of an incoming particle or the temperature. The expansion mechanism is based on the inflating of the "unusual" particles (of charge $Q$) with the drop of the temperature -- this drives apart all neutral particles and particles of specific charge $q/m$ such that ${sign}(Q) q/m \ge - 1$. The Reissner--Nordstr\"om expansion naturally ends at recombination. We discuss the range of model parameters within which the proposed expansion mechanism is consistent with the restrictions regarding quantum effects.
| 11.855342
| 13.807388
| 12.008704
| 11.995415
| 12.856288
| 12.900198
| 13.321603
| 11.555419
| 12.7773
| 12.805925
| 12.681231
| 11.856939
| 11.853392
| 11.590462
| 11.701036
| 12.25041
| 11.997861
| 11.53147
| 11.942532
| 11.762881
| 11.660084
|
hep-th/9904175
|
Bjorn Brinne
|
Bj\"orn Brinne, Svend E. Hjelmeland and Ulf Lindstr\"om
|
World-Volume Locally Supersymmetric Born-Infeld Actions
|
LaTeX, 14 pages, typos corrected, references and some remarks added
|
Phys.Lett. B459 (1999) 507-514
|
10.1016/S0370-2693(99)00678-4
|
USITP-99-02, OSLO-TP 3-99
|
hep-th
| null |
We derive manifestly locally supersymmetric extensions of the Born-Infeld
action with $p=2$. The construction is based on a first order bosonic action
for $Dp$-branes with a generalized Weyl invariance.
|
[
{
"created": "Mon, 26 Apr 1999 14:40:07 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Apr 1999 09:03:10 GMT",
"version": "v2"
},
{
"created": "Fri, 28 May 1999 08:32:50 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Brinne",
"Björn",
""
],
[
"Hjelmeland",
"Svend E.",
""
],
[
"Lindström",
"Ulf",
""
]
] |
We derive manifestly locally supersymmetric extensions of the Born-Infeld action with $p=2$. The construction is based on a first order bosonic action for $Dp$-branes with a generalized Weyl invariance.
| 11.082596
| 8.780188
| 11.220314
| 8.297859
| 8.41232
| 9.105913
| 8.505791
| 8.89001
| 7.944588
| 11.748246
| 8.421692
| 8.288108
| 9.564557
| 8.812333
| 9.059259
| 8.503647
| 8.608197
| 8.683287
| 8.526582
| 8.68518
| 8.727493
|
hep-th/9312121
|
Andre LeClair
|
Costas Efthimiou and Andre LeClair
|
Particle-Field Duality and Form Factors from Vertex Operators
|
17 pages, 2 figures, CLNS 93/???
|
Commun.Math.Phys.171:531-546,1995
|
10.1007/BF02104677
| null |
hep-th
| null |
Using a duality between the space of particles and the space of fields, we
show how one can compute form factors directly in the space of fields. This
introduces the notion of vertex operators, and form factors are vacuum
expectation values of such vertex operators in the space of fields. The vertex
operators can be constructed explicitly in radial quantization. Furthermore,
these vertex operators can be exactly bosonized in momentum space. We develop
these ideas by studying the free-fermion point of the sine-Gordon theory, and
use this scheme to compute some form-factors of some non-free fields in the
sine-Gordon theory. This work further clarifies earlier work of one of the
authors, and extends it to include the periodic sector.
|
[
{
"created": "Tue, 14 Dec 1993 17:09:58 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Efthimiou",
"Costas",
""
],
[
"LeClair",
"Andre",
""
]
] |
Using a duality between the space of particles and the space of fields, we show how one can compute form factors directly in the space of fields. This introduces the notion of vertex operators, and form factors are vacuum expectation values of such vertex operators in the space of fields. The vertex operators can be constructed explicitly in radial quantization. Furthermore, these vertex operators can be exactly bosonized in momentum space. We develop these ideas by studying the free-fermion point of the sine-Gordon theory, and use this scheme to compute some form-factors of some non-free fields in the sine-Gordon theory. This work further clarifies earlier work of one of the authors, and extends it to include the periodic sector.
| 9.573701
| 8.901594
| 9.491496
| 8.838363
| 9.752785
| 9.406279
| 9.160257
| 8.814156
| 8.652511
| 9.964884
| 8.967788
| 8.726118
| 9.290251
| 9.03786
| 9.057632
| 8.864584
| 8.811388
| 8.905706
| 8.589836
| 9.556866
| 8.714309
|
0804.0913
|
Alexei Morozov
|
A.Morozov
|
On the Problem of Multiple M2 Branes
|
12 pages
|
JHEP 0805:076,2008
|
10.1088/1126-6708/2008/05/076
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A simplified version of 3d BL theory is considered, which allows any number N
of M2 branes in d=11. The underlying 3-algebra structure is provided by
degenerate U(N) Nambu bracket [X,Y,Z] = tr(X) [Y,Z] + tr(Y) [Z,X] + tr(Z)
[X,Y], the corresponding f^{abcd} is not totally antisymmetric and extended
supersymmetry of the action remains to be checked. All the fields, including
auxiliary non-propagating gauge fields, are in adjoint representation of SU(N)
and the only remnant of 3-algebra structure is an octuple of gauge singlets,
acquiring vacuum expectation value in transition to D2 branes in d=10.
|
[
{
"created": "Mon, 7 Apr 2008 08:17:57 GMT",
"version": "v1"
}
] |
2009-12-04
|
[
[
"Morozov",
"A.",
""
]
] |
A simplified version of 3d BL theory is considered, which allows any number N of M2 branes in d=11. The underlying 3-algebra structure is provided by degenerate U(N) Nambu bracket [X,Y,Z] = tr(X) [Y,Z] + tr(Y) [Z,X] + tr(Z) [X,Y], the corresponding f^{abcd} is not totally antisymmetric and extended supersymmetry of the action remains to be checked. All the fields, including auxiliary non-propagating gauge fields, are in adjoint representation of SU(N) and the only remnant of 3-algebra structure is an octuple of gauge singlets, acquiring vacuum expectation value in transition to D2 branes in d=10.
| 12.314454
| 11.898301
| 15.242536
| 10.779406
| 11.533216
| 11.809739
| 12.372859
| 11.911048
| 11.432891
| 16.339952
| 10.776412
| 11.516881
| 11.925466
| 11.28058
| 10.645683
| 11.439042
| 11.055213
| 10.854238
| 11.435541
| 11.917834
| 11.047899
|
1811.03649
|
Olaf Lechtenfeld
|
Olaf Lechtenfeld, Alexander D. Popov
|
Dual infrared limits of 6d $\cal N$=(2,0) theory
|
1+10 pages; v2: minor corrections, one reference added
| null |
10.1016/j.physletb.2019.02.051
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Compactifying type $A_{N-1}$ 6d ${\cal N}{=}(2,0)$ supersymmetric CFT on a
product manifold $M^4\times\Sigma^2=M^3\times\tilde{S}^1\times S^1\times{\cal
I}$ either over $S^1$ or over $\tilde{S}^1$ leads to maximally supersymmetric
5d gauge theories on $M^4\times{\cal I}$ or on $M^3\times\Sigma^2$,
respectively. Choosing the radii of $S^1$ and $\tilde{S}^1$ inversely
proportional to each other, these 5d gauge theories are dual to one another
since their coupling constants $e^2$ and $\tilde{e}^2$ are proportional to
those radii respectively. We consider their non-Abelian but non-supersymmetric
extensions, i.e. SU($N$) Yang-Mills theories on $M^4\times{\cal I}$ and on
$M^3\times\Sigma^2$, where $M^4\supset M^3=\mathbb R_t\times T_p^2$ with time
$t$ and a punctured 2-torus, and ${\cal I}\subset\Sigma^2$ is an interval. In
the first case, shrinking ${\cal I}$ to a point reduces to Yang-Mills theory or
to the Skyrme model on $M^4$, depending on the method chosen for the low-energy
reduction. In the second case, scaling down the metric on $M^3$ and employing
the adiabatic method, we derive in the infrared limit a non-linear SU($N$)
sigma model with a baby-Skyrme-type term on $\Sigma^2$, which can be reduced
further to $A_{N-1}$ Toda theory.
|
[
{
"created": "Thu, 8 Nov 2018 19:11:06 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Nov 2018 15:04:48 GMT",
"version": "v2"
}
] |
2019-05-08
|
[
[
"Lechtenfeld",
"Olaf",
""
],
[
"Popov",
"Alexander D.",
""
]
] |
Compactifying type $A_{N-1}$ 6d ${\cal N}{=}(2,0)$ supersymmetric CFT on a product manifold $M^4\times\Sigma^2=M^3\times\tilde{S}^1\times S^1\times{\cal I}$ either over $S^1$ or over $\tilde{S}^1$ leads to maximally supersymmetric 5d gauge theories on $M^4\times{\cal I}$ or on $M^3\times\Sigma^2$, respectively. Choosing the radii of $S^1$ and $\tilde{S}^1$ inversely proportional to each other, these 5d gauge theories are dual to one another since their coupling constants $e^2$ and $\tilde{e}^2$ are proportional to those radii respectively. We consider their non-Abelian but non-supersymmetric extensions, i.e. SU($N$) Yang-Mills theories on $M^4\times{\cal I}$ and on $M^3\times\Sigma^2$, where $M^4\supset M^3=\mathbb R_t\times T_p^2$ with time $t$ and a punctured 2-torus, and ${\cal I}\subset\Sigma^2$ is an interval. In the first case, shrinking ${\cal I}$ to a point reduces to Yang-Mills theory or to the Skyrme model on $M^4$, depending on the method chosen for the low-energy reduction. In the second case, scaling down the metric on $M^3$ and employing the adiabatic method, we derive in the infrared limit a non-linear SU($N$) sigma model with a baby-Skyrme-type term on $\Sigma^2$, which can be reduced further to $A_{N-1}$ Toda theory.
| 4.560424
| 4.882967
| 4.673605
| 4.379865
| 4.760495
| 4.605676
| 4.651332
| 4.610834
| 4.55687
| 4.68199
| 4.558863
| 4.512025
| 4.508716
| 4.44382
| 4.453179
| 4.474595
| 4.467036
| 4.466066
| 4.536797
| 4.615839
| 4.42678
|
hep-th/9701066
|
Nikita A. Nslavnov
|
Vladimir Korepin (ITP, SUNY at Stony Brook, USA) and Nikita Slavnov
(Steklov Mathematical Institute, Russia)
|
Time and Temperature Dependent Correlation Functions of 1D Models of
Quantum Statistical Mechanics
|
6 pages, LaTeX
| null |
10.1016/S0375-9601(97)00800-1
|
ITP-SB-97-5
|
hep-th cond-mat math.QA nlin.SI q-alg solv-int
| null |
We consider gapless models of statistical mechanics. At zero temperatures
correlation functions decay asymptotically as powers of distance in these
models. Temperature correlations decay exponentially. We used an example of
solvable model to find the formula, which describes long distance and large
time asymptotic of correlation function of local fields. The formula describes
correlation at any temperature and arbitrary coupling constant.
|
[
{
"created": "Tue, 14 Jan 1997 16:24:41 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Korepin",
"Vladimir",
"",
"ITP, SUNY at Stony Brook, USA"
],
[
"Slavnov",
"Nikita",
"",
"Steklov Mathematical Institute, Russia"
]
] |
We consider gapless models of statistical mechanics. At zero temperatures correlation functions decay asymptotically as powers of distance in these models. Temperature correlations decay exponentially. We used an example of solvable model to find the formula, which describes long distance and large time asymptotic of correlation function of local fields. The formula describes correlation at any temperature and arbitrary coupling constant.
| 18.353838
| 17.491096
| 18.985056
| 16.00559
| 16.375126
| 16.569422
| 18.314251
| 16.847239
| 17.14172
| 18.755787
| 17.074659
| 17.641846
| 18.004383
| 16.614809
| 17.652866
| 17.459526
| 18.018538
| 16.037306
| 17.119795
| 18.332115
| 16.505507
|
1512.06405
|
Adel Awad
|
Adel Awad
|
Weyl Anomaly and Initial Singularity Crossing
|
22 pages and two figures. More references has been added. Accepted in
Phys. Rev. D
|
Phys. Rev. D 93, 084006 (2016)
|
10.1103/PhysRevD.93.084006
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the role of quantum effects, mainly, Weyl anomaly in modifying
FLRW model singular behavior at early times. Weyl anomaly corrections to FLRW
models have been considered in the past, here we reconsider this model and show
the following: The singularity of this model is weak according to Tipler and
Krolak, therefore, the spacetime might admit a geodesic extension. Weyl anomaly
corrections changes the nature of the initial singularity from a big bang
singularity to a sudden singularity. The two branches of solutions consistent
with the semiclassical treatment form a disconnected manifold. Joining these
two parts at the singularity provides us with a $C^1$ extension to nonspacelike
geodesics and leaves the spacetime geodesically complete. Using Gauss-Codazzi
equations one can derive generalized junction conditions for this
higher-derivative gravity. The extended spacetime obeys Friedmann and
Raychaudhuri equations and the junction conditions. The junction does not
generate Dirac delta functions in matter sources which keeps the equation of
state unchanged.
|
[
{
"created": "Sun, 20 Dec 2015 17:17:40 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Mar 2016 14:38:15 GMT",
"version": "v2"
}
] |
2016-04-13
|
[
[
"Awad",
"Adel",
""
]
] |
We consider the role of quantum effects, mainly, Weyl anomaly in modifying FLRW model singular behavior at early times. Weyl anomaly corrections to FLRW models have been considered in the past, here we reconsider this model and show the following: The singularity of this model is weak according to Tipler and Krolak, therefore, the spacetime might admit a geodesic extension. Weyl anomaly corrections changes the nature of the initial singularity from a big bang singularity to a sudden singularity. The two branches of solutions consistent with the semiclassical treatment form a disconnected manifold. Joining these two parts at the singularity provides us with a $C^1$ extension to nonspacelike geodesics and leaves the spacetime geodesically complete. Using Gauss-Codazzi equations one can derive generalized junction conditions for this higher-derivative gravity. The extended spacetime obeys Friedmann and Raychaudhuri equations and the junction conditions. The junction does not generate Dirac delta functions in matter sources which keeps the equation of state unchanged.
| 11.719743
| 13.37289
| 11.349025
| 11.444863
| 13.028275
| 12.252225
| 14.075727
| 11.791331
| 12.199392
| 12.731264
| 12.116762
| 12.242785
| 11.333074
| 11.415851
| 11.715823
| 12.023463
| 12.344996
| 11.495969
| 12.02494
| 11.991611
| 11.719048
|
hep-th/0011240
|
Thomas Strobl
|
Thomas Strobl
|
Gravity in Two Spacetime Dimensions
|
224 pages, 35 figures, Habilitation thesis RWTH Aachen, May 1999
| null | null | null |
hep-th
| null |
In this habilitation thesis we provide an introduction to gravitational
models in two spacetime dimensions. Focus is put on exactly solvable models. We
begin by introducing and motivating different possible gravitational actions,
including those of generalized dilaton theories as well as of purely
geometrical, higher derivative theories with and without torsion. The relation
among them as well as to Poisson sigma models is worked out in some detail. In
the exactly solvable cases, such as pure gravity-Yang-Mills systems, the
general solution to the field equations on a global level is reviewed.
Quantization of such models is performed in the Dirac approach, where, by use
of the formulation as Poisson sigma models, all admissible physical quantum
states are obtained.
Table of contents: 1. Introduction, 2. 2d geometry and gravitational actions,
3. Generalized dilaton theories and matter actions, 4. 2d gravity-Yang-Mills
systems in terms of Poisson sigma models, 5. Classical solutions on a local
level, 6. Classical solutions on a global level, 7. Towards quantum gravity.
(In part this work contains/summarizes previous joint work with T. Kloesch
and P. Schaller).
|
[
{
"created": "Mon, 27 Nov 2000 15:16:55 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Strobl",
"Thomas",
""
]
] |
In this habilitation thesis we provide an introduction to gravitational models in two spacetime dimensions. Focus is put on exactly solvable models. We begin by introducing and motivating different possible gravitational actions, including those of generalized dilaton theories as well as of purely geometrical, higher derivative theories with and without torsion. The relation among them as well as to Poisson sigma models is worked out in some detail. In the exactly solvable cases, such as pure gravity-Yang-Mills systems, the general solution to the field equations on a global level is reviewed. Quantization of such models is performed in the Dirac approach, where, by use of the formulation as Poisson sigma models, all admissible physical quantum states are obtained. Table of contents: 1. Introduction, 2. 2d geometry and gravitational actions, 3. Generalized dilaton theories and matter actions, 4. 2d gravity-Yang-Mills systems in terms of Poisson sigma models, 5. Classical solutions on a local level, 6. Classical solutions on a global level, 7. Towards quantum gravity. (In part this work contains/summarizes previous joint work with T. Kloesch and P. Schaller).
| 8.776253
| 9.497913
| 9.142172
| 8.644793
| 9.140635
| 9.007688
| 9.524985
| 8.819358
| 9.421053
| 9.918041
| 8.866569
| 8.449251
| 8.605772
| 8.290375
| 8.614548
| 8.6057
| 8.501715
| 8.470169
| 8.519644
| 8.684997
| 8.608106
|
2006.09315
|
Anatoly Kotikov Vassilievich
|
V.P. Gusynin, A.V. Kotikov and S. Teber
|
Landau-Khalatnikov-Fradkin transformation in three-dimensional quenched
QED
|
17 pages, no figures
|
Phys. Rev. D 102, 025013 (2020)
|
10.1103/PhysRevD.102.025013
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the gauge-covariance of the massless fermion propagator in
three-dimensional quenched Quantum Electrodynamics in the framework of
dimensional regularization in d=3-2\ep. Assuming the finiteness of the quenched
perturbative expansion, that is the existence of the limit \ep \to 0, we state
that, exactly in d=3, all odd perturbative coefficients, starting with the
third order one, should be zero in any gauge.
|
[
{
"created": "Tue, 16 Jun 2020 16:58:57 GMT",
"version": "v1"
},
{
"created": "Sun, 28 Jun 2020 13:39:53 GMT",
"version": "v2"
}
] |
2020-07-22
|
[
[
"Gusynin",
"V. P.",
""
],
[
"Kotikov",
"A. V.",
""
],
[
"Teber",
"S.",
""
]
] |
We study the gauge-covariance of the massless fermion propagator in three-dimensional quenched Quantum Electrodynamics in the framework of dimensional regularization in d=3-2\ep. Assuming the finiteness of the quenched perturbative expansion, that is the existence of the limit \ep \to 0, we state that, exactly in d=3, all odd perturbative coefficients, starting with the third order one, should be zero in any gauge.
| 8.301784
| 6.485893
| 7.644109
| 6.758195
| 7.942511
| 7.543694
| 7.137209
| 6.589716
| 6.233271
| 7.524332
| 7.126818
| 7.318889
| 7.565922
| 7.423864
| 8.006943
| 7.621235
| 7.505698
| 7.729622
| 7.348871
| 7.654594
| 7.565062
|
1809.08209
|
Hamidreza Safari
|
A. Farahmand Parsa, H. R. Safari and M. M. Sheikh-Jabbari
|
On Rigidity of 3d Asymptotic Symmetry Algebras
|
50 pages, one figure and two tables; v2: minor improvements,
references added
| null |
10.1007/JHEP03(2019)143
|
IPM/P-2018/071
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study rigidity and stability of infinite dimensional algebras which are
not subject to the Hochschild-Serre factorization theorem. In particular, we
consider algebras appearing as asymptotic symmetries of three dimensional
spacetimes, the BMS3, u(1) Kac-Moody and Virasoro algebras. We construct and
classify the family of algebras which appear as deformations of BMS3, u(1)
Kac-Moody and their central extensions by direct computations and also by
cohomological analysis. The Virasoro algebra appears as a specific member in
this family of rigid algebras; for this case stabilization procedure is inverse
of the In\"on\"u-Wigner contraction relating Virasoro to BMS3 algebra. We
comment on the physical meaning of deformation and stabilization of these
algebras and relevance of the family of rigid algebras we obtain
|
[
{
"created": "Fri, 21 Sep 2018 17:01:03 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Oct 2018 17:38:40 GMT",
"version": "v2"
},
{
"created": "Wed, 3 Apr 2019 11:21:48 GMT",
"version": "v3"
}
] |
2019-04-04
|
[
[
"Parsa",
"A. Farahmand",
""
],
[
"Safari",
"H. R.",
""
],
[
"Sheikh-Jabbari",
"M. M.",
""
]
] |
We study rigidity and stability of infinite dimensional algebras which are not subject to the Hochschild-Serre factorization theorem. In particular, we consider algebras appearing as asymptotic symmetries of three dimensional spacetimes, the BMS3, u(1) Kac-Moody and Virasoro algebras. We construct and classify the family of algebras which appear as deformations of BMS3, u(1) Kac-Moody and their central extensions by direct computations and also by cohomological analysis. The Virasoro algebra appears as a specific member in this family of rigid algebras; for this case stabilization procedure is inverse of the In\"on\"u-Wigner contraction relating Virasoro to BMS3 algebra. We comment on the physical meaning of deformation and stabilization of these algebras and relevance of the family of rigid algebras we obtain
| 7.355886
| 6.20378
| 7.44298
| 6.362889
| 6.763506
| 6.568654
| 6.693798
| 6.834633
| 6.265006
| 8.39373
| 6.824474
| 6.787201
| 7.057055
| 6.7042
| 6.825736
| 6.794616
| 6.858337
| 6.849686
| 6.861174
| 7.089846
| 6.763727
|
0908.2569
|
Andrei Mironov
|
A.Mironov and A.Morozov
|
On AGT relation in the case of U(3)
|
30 pages
|
Nucl.Phys.B825:1-37,2010
|
10.1016/j.nuclphysb.2009.09.011
|
FIAN/TD-16/09; ITEP/TH-32/09
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the AGT relation, expressing conformal blocks for the Virasoro
and W-algebras in terms of Nekrasov's special functions, in the simplest case
of the 4-point functions for the first non-trivial W_3 algebra. The standard
set of Nekrasov functions is sufficient only if additional null-vector
restriction is imposed on a half of the external $W$-primaries and this is just
the case when the conformal blocks are fully dictated by W-symmetry and do not
depend on a particular model. Explicit checks confirm that the AGT relation
survives in this restricted case, as expected.
|
[
{
"created": "Tue, 18 Aug 2009 13:20:29 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Sep 2009 06:32:57 GMT",
"version": "v2"
}
] |
2009-11-09
|
[
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
]
] |
We consider the AGT relation, expressing conformal blocks for the Virasoro and W-algebras in terms of Nekrasov's special functions, in the simplest case of the 4-point functions for the first non-trivial W_3 algebra. The standard set of Nekrasov functions is sufficient only if additional null-vector restriction is imposed on a half of the external $W$-primaries and this is just the case when the conformal blocks are fully dictated by W-symmetry and do not depend on a particular model. Explicit checks confirm that the AGT relation survives in this restricted case, as expected.
| 10.246415
| 9.658908
| 11.223071
| 9.486773
| 9.655041
| 9.347256
| 9.86735
| 9.722185
| 9.242764
| 13.70915
| 9.115938
| 10.111362
| 10.674289
| 9.89988
| 9.902704
| 10.090306
| 10.170328
| 10.043908
| 9.4943
| 10.255564
| 9.779692
|
1402.2441
|
Shailesh Lal
|
Rajesh Kumar Gupta, Shailesh Lal, and Somyadip Thakur
|
Logarithmic Corrections to Extremal Black Hole Entropy in N = 2, 4 and 8
Supergravity
|
40 pages
| null |
10.1007/JHEP11(2014)072
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the logarithmic correction to black hole entropy about
exponentially suppressed saddle points of the Quantum Entropy Function
corresponding to Z(N) orbifolds of the near horizon geometry of the extremal
black hole under study. By carefully accounting for zero mode contributions we
show that the logarithmic contributions for quarter--BPS black holes in N=4
supergravity and one--eighth BPS black holes in N=8 supergravity perfectly
match with the prediction from the microstate counting. We also find that the
logarithmic contribution for half--BPS black holes in N = 2 supergravity
depends non-trivially on the Z(N) orbifold. Our analysis draws heavily on the
results we had previously obtained for heat kernel coefficients on Z(N)
orbifolds of spheres and hyperboloids in arXiv:1311.6286 and we also propose a
generalization of the Plancherel formula to Z(N) orbifolds of hyperboloids to
an expression involving the Harish-Chandra character of SL(2,R), a result which
is of possible mathematical interest.
|
[
{
"created": "Tue, 11 Feb 2014 11:00:32 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"Gupta",
"Rajesh Kumar",
""
],
[
"Lal",
"Shailesh",
""
],
[
"Thakur",
"Somyadip",
""
]
] |
We compute the logarithmic correction to black hole entropy about exponentially suppressed saddle points of the Quantum Entropy Function corresponding to Z(N) orbifolds of the near horizon geometry of the extremal black hole under study. By carefully accounting for zero mode contributions we show that the logarithmic contributions for quarter--BPS black holes in N=4 supergravity and one--eighth BPS black holes in N=8 supergravity perfectly match with the prediction from the microstate counting. We also find that the logarithmic contribution for half--BPS black holes in N = 2 supergravity depends non-trivially on the Z(N) orbifold. Our analysis draws heavily on the results we had previously obtained for heat kernel coefficients on Z(N) orbifolds of spheres and hyperboloids in arXiv:1311.6286 and we also propose a generalization of the Plancherel formula to Z(N) orbifolds of hyperboloids to an expression involving the Harish-Chandra character of SL(2,R), a result which is of possible mathematical interest.
| 7.762335
| 7.092522
| 8.706034
| 7.291245
| 7.512392
| 7.641941
| 7.841122
| 6.964184
| 7.725526
| 8.937554
| 7.257174
| 7.484811
| 7.980569
| 7.460556
| 7.238018
| 7.341096
| 7.347171
| 7.198828
| 7.304567
| 8.175779
| 7.408234
|
2008.01829
|
Benoit Vicedo
|
Marco Benini, Alexander Schenkel, Benoit Vicedo
|
Homotopical analysis of 4d Chern-Simons theory and integrable field
theories
|
27 pages; v2: Final version accepted for publication in
Communications in Mathematical Physics
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper provides a detailed study of $4$-dimensional Chern-Simons theory
on $\mathbb{R}^2 \times \mathbb{C}P^1$ for an arbitrary meromorphic $1$-form
$\omega$ on $\mathbb{C}P^1$. Using techniques from homotopy theory, the
behaviour under finite gauge transformations of a suitably regularised version
of the action proposed by Costello and Yamazaki is investigated. Its gauge
invariance is related to boundary conditions on the surface defects located at
the poles of $\omega$ that are determined by isotropic Lie subalgebras of a
certain defect Lie algebra. The groupoid of fields satisfying such a boundary
condition is proved to be equivalent to a groupoid that implements the boundary
condition through a homotopy pullback, leading to the appearance of edge modes.
The latter perspective is used to clarify how integrable field theories arise
from $4$-dimensional Chern-Simons theory.
|
[
{
"created": "Tue, 4 Aug 2020 21:04:17 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Jan 2022 09:40:00 GMT",
"version": "v2"
}
] |
2022-01-20
|
[
[
"Benini",
"Marco",
""
],
[
"Schenkel",
"Alexander",
""
],
[
"Vicedo",
"Benoit",
""
]
] |
This paper provides a detailed study of $4$-dimensional Chern-Simons theory on $\mathbb{R}^2 \times \mathbb{C}P^1$ for an arbitrary meromorphic $1$-form $\omega$ on $\mathbb{C}P^1$. Using techniques from homotopy theory, the behaviour under finite gauge transformations of a suitably regularised version of the action proposed by Costello and Yamazaki is investigated. Its gauge invariance is related to boundary conditions on the surface defects located at the poles of $\omega$ that are determined by isotropic Lie subalgebras of a certain defect Lie algebra. The groupoid of fields satisfying such a boundary condition is proved to be equivalent to a groupoid that implements the boundary condition through a homotopy pullback, leading to the appearance of edge modes. The latter perspective is used to clarify how integrable field theories arise from $4$-dimensional Chern-Simons theory.
| 7.256481
| 6.702685
| 7.997662
| 6.880306
| 7.159842
| 6.711576
| 6.549964
| 6.757255
| 7.191024
| 8.913697
| 6.861806
| 6.753862
| 7.459757
| 6.887883
| 6.883399
| 6.741048
| 6.857485
| 6.686196
| 6.678811
| 7.597137
| 6.857637
|
0809.4701
|
Veselin Filev
|
Veselin G. Filev
|
Aspects of the Holographic Study of Flavor Dynamics
|
226 pages, 59 figures, Ph.D thesis, reference format changed
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This thesis is dedicated to the holographic study of flavor dynamics. The
technique employed is a D7-brane probing of various D3-brane backgrounds. The
first topic covered studies the influence of an external magnetic field on a
flavored large N Yang-Mills theory. The theory exhibits spontaneous chiral
symmetry breaking. The meson spectrum exhibits Zeeman splitting and
characteristic GMOR relation. The second topic examines thermal properties of
the dual gauge theory. The third topic studies the phase structure of the
finite temperature dual gauge theory in the presence of magnetic field. A phase
diagram of the theory is obtained and the meson spectrum is explored. The
fourth topic studies the addition of an external electric field. The observed
effect is dissociation of the bound quarks, favoring the meson melting, the
dissociation of mesons corresponds to an insulator/conductor phase transition.
The fifth topic studies the addition of an R-charge chemical potential via
brane probing of the spinning D3-brane geometry. The corresponding phase
diagram is obtained. The chemical potential favors the dissociation of mesons.
The last topic explores universal properties of gauge theories dual to the
Dp/Dq system. A universal discrete self-similar behavior associated to the
insulator/conductor phase transition is observed and the corresponding scaling
exponents are computed.
|
[
{
"created": "Fri, 26 Sep 2008 19:54:23 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Sep 2008 14:44:34 GMT",
"version": "v2"
}
] |
2008-09-29
|
[
[
"Filev",
"Veselin G.",
""
]
] |
This thesis is dedicated to the holographic study of flavor dynamics. The technique employed is a D7-brane probing of various D3-brane backgrounds. The first topic covered studies the influence of an external magnetic field on a flavored large N Yang-Mills theory. The theory exhibits spontaneous chiral symmetry breaking. The meson spectrum exhibits Zeeman splitting and characteristic GMOR relation. The second topic examines thermal properties of the dual gauge theory. The third topic studies the phase structure of the finite temperature dual gauge theory in the presence of magnetic field. A phase diagram of the theory is obtained and the meson spectrum is explored. The fourth topic studies the addition of an external electric field. The observed effect is dissociation of the bound quarks, favoring the meson melting, the dissociation of mesons corresponds to an insulator/conductor phase transition. The fifth topic studies the addition of an R-charge chemical potential via brane probing of the spinning D3-brane geometry. The corresponding phase diagram is obtained. The chemical potential favors the dissociation of mesons. The last topic explores universal properties of gauge theories dual to the Dp/Dq system. A universal discrete self-similar behavior associated to the insulator/conductor phase transition is observed and the corresponding scaling exponents are computed.
| 8.504284
| 8.446045
| 9.75917
| 7.89894
| 8.484126
| 8.283641
| 8.545328
| 8.070592
| 8.647378
| 8.926164
| 7.992752
| 8.370728
| 8.802072
| 8.535783
| 8.387553
| 8.49253
| 8.322116
| 8.558316
| 8.427831
| 8.472661
| 8.354616
|
1110.6158
|
Kluson Josef
|
J. Kluson
|
Hamiltonian Analysis of 1+1 dimensional Massive Gravity
|
10 pages
| null |
10.1103/PhysRevD.85.044010
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We perform the Hamiltonian analysis of 1+1 dimensional non-linear massive
gravity studied in arXiv:1107.3820. We find the constraint structure of given
theory and perform the counting of the physical degrees of freedom.
|
[
{
"created": "Thu, 27 Oct 2011 19:09:00 GMT",
"version": "v1"
}
] |
2015-05-30
|
[
[
"Kluson",
"J.",
""
]
] |
We perform the Hamiltonian analysis of 1+1 dimensional non-linear massive gravity studied in arXiv:1107.3820. We find the constraint structure of given theory and perform the counting of the physical degrees of freedom.
| 8.784941
| 5.873775
| 7.71547
| 5.933726
| 5.978989
| 4.944061
| 5.083617
| 6.153697
| 6.531657
| 7.103903
| 6.425996
| 7.015558
| 7.609292
| 6.759299
| 6.972891
| 6.422472
| 6.729369
| 6.345652
| 7.546189
| 7.355873
| 6.69171
|
hep-th/9508057
|
Nissan Itzhaki
|
N.Itzhaki
|
Information Loss in Quantum Gravity Without Black Holes
|
14pp, Latex
|
Class.Quant.Grav. 12 (1995) 2747
|
10.1088/0264-9381/12/11/007
|
TAUP-2250/95
|
hep-th gr-qc quant-ph
| null |
We use the weak field approximation to show that information is lost in
principle in quantum gravity.
|
[
{
"created": "Sun, 13 Aug 1995 11:37:18 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Itzhaki",
"N.",
""
]
] |
We use the weak field approximation to show that information is lost in principle in quantum gravity.
| 39.424904
| 19.834219
| 17.952213
| 19.597637
| 18.524397
| 20.090254
| 19.757797
| 17.098869
| 18.7118
| 17.554087
| 22.105051
| 22.521803
| 27.690847
| 23.544649
| 22.431089
| 23.116459
| 24.8867
| 23.894495
| 24.835411
| 26.606501
| 23.483692
|
hep-th/9805213
|
Cumrun Vafa
|
Cumrun Vafa
|
Minimal Cycles, Black Holes and QFT's
|
5 pages
| null | null |
HUTP-98/A026
|
hep-th
| null |
We review some aspects of minimal cycles in string compactifications and
their role in constructing new critical theories in six and lower dimensions as
well as in accounting for black hole entropy. (Based on a talk presented at the
Salam Memorial Meeting, the Abdus Salam International Center for Theoretical
Physics, Fall 1997)
|
[
{
"created": "Fri, 29 May 1998 14:50:53 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Vafa",
"Cumrun",
""
]
] |
We review some aspects of minimal cycles in string compactifications and their role in constructing new critical theories in six and lower dimensions as well as in accounting for black hole entropy. (Based on a talk presented at the Salam Memorial Meeting, the Abdus Salam International Center for Theoretical Physics, Fall 1997)
| 12.935676
| 10.965108
| 13.238411
| 9.263742
| 11.457138
| 11.432837
| 9.443864
| 10.187678
| 9.877984
| 14.917943
| 10.27872
| 10.728755
| 12.90264
| 10.849645
| 11.089183
| 10.86542
| 11.06271
| 11.490584
| 10.709558
| 12.752626
| 10.80969
|
0903.5348
|
John Joseph Carrasco
|
Z. Bern, J. J. M. Carrasco, H. Ita, H. Johansson, and R. Roiban
|
On the Structure of Supersymmetric Sums in Multi-Loop Unitarity Cuts
|
Minor typographical errors corrected
| null |
10.1103/PhysRevD.80.065029
|
UCLA/09/TEP/41
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we describe algebraic and diagrammatic methods, related to the
MHV generating function method, for evaluating and exposing the structure of
supersymmetric sums over the states crossing generalized unitarity cuts of
multi-loop amplitudes in four dimensions. We focus mainly on cuts of maximally
supersymmetric Yang-Mills amplitudes. We provide various concrete examples,
some of which are directly relevant for the calculation of four-loop
amplitudes. Additionally, we discuss some cases with less than maximal
supersymmetry. The results of these constructions carry over to generalized
cuts of multi-loop supergravity amplitudes through use of the
Kawai-Lewellen-Tye relations between gravity and gauge-theory tree amplitudes.
|
[
{
"created": "Tue, 31 Mar 2009 00:20:01 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Sep 2009 17:26:32 GMT",
"version": "v2"
}
] |
2013-05-29
|
[
[
"Bern",
"Z.",
""
],
[
"Carrasco",
"J. J. M.",
""
],
[
"Ita",
"H.",
""
],
[
"Johansson",
"H.",
""
],
[
"Roiban",
"R.",
""
]
] |
In this paper we describe algebraic and diagrammatic methods, related to the MHV generating function method, for evaluating and exposing the structure of supersymmetric sums over the states crossing generalized unitarity cuts of multi-loop amplitudes in four dimensions. We focus mainly on cuts of maximally supersymmetric Yang-Mills amplitudes. We provide various concrete examples, some of which are directly relevant for the calculation of four-loop amplitudes. Additionally, we discuss some cases with less than maximal supersymmetry. The results of these constructions carry over to generalized cuts of multi-loop supergravity amplitudes through use of the Kawai-Lewellen-Tye relations between gravity and gauge-theory tree amplitudes.
| 8.752705
| 9.328742
| 10.33351
| 8.428136
| 9.152545
| 9.351547
| 9.091791
| 9.175421
| 8.819034
| 10.718085
| 8.581317
| 8.667707
| 8.840412
| 8.461413
| 8.630442
| 8.430065
| 8.354922
| 8.398325
| 8.393628
| 8.932031
| 8.435927
|
1104.5501
|
Pedro Vieira G.
|
Jorge Escobedo, Nikolay Gromov, Amit Sever, Pedro Vieira
|
Tailoring Three-Point Functions and Integrability II. Weak/strong
coupling match
|
36 pages. v2: figure added, references added
| null |
10.1007/JHEP09(2011)029
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute three-point functions of single trace operators in planar N=4 SYM.
We consider the limit where one of the operators is much smaller than the other
two. We find a precise match between weak and strong coupling in the
Frolov-Tseytlin classical limit for a very general class of classical
solutions. To achieve this match we clarify the issue of back-reaction and
identify precisely which three-point functions are captured by a classical
computation.
|
[
{
"created": "Thu, 28 Apr 2011 20:02:31 GMT",
"version": "v1"
},
{
"created": "Thu, 5 May 2011 23:48:38 GMT",
"version": "v2"
}
] |
2015-05-28
|
[
[
"Escobedo",
"Jorge",
""
],
[
"Gromov",
"Nikolay",
""
],
[
"Sever",
"Amit",
""
],
[
"Vieira",
"Pedro",
""
]
] |
We compute three-point functions of single trace operators in planar N=4 SYM. We consider the limit where one of the operators is much smaller than the other two. We find a precise match between weak and strong coupling in the Frolov-Tseytlin classical limit for a very general class of classical solutions. To achieve this match we clarify the issue of back-reaction and identify precisely which three-point functions are captured by a classical computation.
| 7.097976
| 6.318158
| 9.553982
| 6.572509
| 6.748703
| 6.468801
| 7.089362
| 6.412868
| 6.497477
| 9.36403
| 6.439603
| 7.068846
| 7.949137
| 7.132484
| 6.938449
| 6.514392
| 6.801296
| 6.917811
| 6.979778
| 7.65122
| 7.000614
|
1109.2736
|
Dongsu Bak
|
Dongsu Bak, Michael Gutperle and Romuald A. Janik
|
Janus Black Holes
|
28 pages, 2 figures, reference added
| null |
10.1007/JHEP10(2011)056
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper Janus black holes in AdS3 are considered. These are static
solutions of an Einstein-scalar system with broken translation symmetry along
the horizon. These solutions are dual to interface conformal field theories at
finite temperature. An approximate solution is first constructed using
perturbation theory around a planar BTZ black hole. Numerical and exact
solutions valid for all sets of parameters are then found and compared. Using
the exact solution the thermodynamics of the system is analyzed. The entropy
associated with the Janus black hole is calculated and it is found that the
entropy of the black Janus is the sum of the undeformed black hole entropy and
the entanglement entropy associated with the defect.
|
[
{
"created": "Tue, 13 Sep 2011 10:24:22 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Sep 2011 05:48:05 GMT",
"version": "v2"
}
] |
2015-05-30
|
[
[
"Bak",
"Dongsu",
""
],
[
"Gutperle",
"Michael",
""
],
[
"Janik",
"Romuald A.",
""
]
] |
In this paper Janus black holes in AdS3 are considered. These are static solutions of an Einstein-scalar system with broken translation symmetry along the horizon. These solutions are dual to interface conformal field theories at finite temperature. An approximate solution is first constructed using perturbation theory around a planar BTZ black hole. Numerical and exact solutions valid for all sets of parameters are then found and compared. Using the exact solution the thermodynamics of the system is analyzed. The entropy associated with the Janus black hole is calculated and it is found that the entropy of the black Janus is the sum of the undeformed black hole entropy and the entanglement entropy associated with the defect.
| 7.662552
| 7.260656
| 7.73277
| 6.628651
| 7.547164
| 6.898875
| 7.583147
| 6.965537
| 7.119056
| 8.363181
| 6.690829
| 7.113457
| 7.360616
| 6.903765
| 6.821154
| 6.61881
| 6.945449
| 6.80616
| 7.165617
| 7.323611
| 7.072204
|
hep-th/9311183
| null |
D. Fioravanti, G. Pradisi and A. Sagnotti
|
Sewing Constraints and Non-Orientable Open Strings
|
phyzzx, 11 pages and 4 figures, ROM2F-93/33
|
Phys.Lett.B321:349-354,1994
|
10.1016/0370-2693(94)90255-0
| null |
hep-th
| null |
We extend to non-orientable surfaces previous work on sewing constraints in
Conformal Field Theory. A new constraint, related to the real projective plane,
is described and is used to illustrate the correspondence with a previous
construction of open-string spectra.
|
[
{
"created": "Tue, 30 Nov 1993 16:43:48 GMT",
"version": "v1"
}
] |
2010-11-01
|
[
[
"Fioravanti",
"D.",
""
],
[
"Pradisi",
"G.",
""
],
[
"Sagnotti",
"A.",
""
]
] |
We extend to non-orientable surfaces previous work on sewing constraints in Conformal Field Theory. A new constraint, related to the real projective plane, is described and is used to illustrate the correspondence with a previous construction of open-string spectra.
| 22.150734
| 14.557813
| 22.465042
| 15.876952
| 16.384464
| 16.718254
| 14.009654
| 15.229944
| 16.304632
| 23.659817
| 14.183677
| 16.582022
| 21.339001
| 17.495516
| 16.027081
| 16.370642
| 17.005247
| 16.517717
| 18.027655
| 20.407593
| 16.89455
|
2110.03525
|
Muhammad Fitrah Alfian Rangga Sakti
|
Muhammad Fitrah Alfian Rangga Sakti, Agus Suroso, Anto Sulaksono, and
Freddy Permana Zen
|
Rotating black holes and exotic compact objects in the Kerr/CFT
correspondence within Rastall gravity
|
16 pages, 5 figures, published in Phys. Dark Universe
|
Physics of the Dark Universe 35 (2022) 100974
|
10.1016/j.dark.2022.100974
| null |
hep-th gr-qc
|
http://creativecommons.org/publicdomain/zero/1.0/
|
Quantum gravitational effects on the near horizon may alter the black hole's
horizon drastically to be partially reflective, portrayed by a quantum
membrane. With this modification, the object can be considered as an exotic
compact object (ECO). Quantum effects on the strong gravitational regime may
also lead to a non-conserved matter tensor that can be described
phenomenologically using Rastall gravity. In this work, we study the properties
of black holes and ECOs within Rastall gravity using Kerr/CFT correspondence.
We systematically investigate the properties of the most general rotating black
hole solutions in Rastall gravity, i.e., Kerr-Newman-NUT-Kiselev, and reveal
its hidden conformal symmetry. The Cardy microscopic entropy formula and
absorption cross-sections from 2D CFT are computed and then matched with
gravity calculation. We also extend the dual CFT analysis for studying the
properties of ECOs. The existence of the quantum membrane leads to the
appearance of the gravitational echoes that is manifested as an oscillatory
feature on the absorption cross-section. We compute the absorption
cross-section and quasi-normal modes in the dual CFT picture. We also compare
the absorption cross-section of ECOs to that of black holes. We find that the
Rastall coupling constant plays a significant role for both objects. We also
obtain that the echo time delay depends explicitly on the Rastall coupling
constant. This coupling constant may play a role to recover the correction on
time delay that is believed as a non-linear physics effect. Henceforth, the
signature of the Rastall gravity can be probed from the time-delay observation.
|
[
{
"created": "Thu, 7 Oct 2021 14:55:17 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Feb 2022 09:28:49 GMT",
"version": "v2"
}
] |
2022-02-11
|
[
[
"Sakti",
"Muhammad Fitrah Alfian Rangga",
""
],
[
"Suroso",
"Agus",
""
],
[
"Sulaksono",
"Anto",
""
],
[
"Zen",
"Freddy Permana",
""
]
] |
Quantum gravitational effects on the near horizon may alter the black hole's horizon drastically to be partially reflective, portrayed by a quantum membrane. With this modification, the object can be considered as an exotic compact object (ECO). Quantum effects on the strong gravitational regime may also lead to a non-conserved matter tensor that can be described phenomenologically using Rastall gravity. In this work, we study the properties of black holes and ECOs within Rastall gravity using Kerr/CFT correspondence. We systematically investigate the properties of the most general rotating black hole solutions in Rastall gravity, i.e., Kerr-Newman-NUT-Kiselev, and reveal its hidden conformal symmetry. The Cardy microscopic entropy formula and absorption cross-sections from 2D CFT are computed and then matched with gravity calculation. We also extend the dual CFT analysis for studying the properties of ECOs. The existence of the quantum membrane leads to the appearance of the gravitational echoes that is manifested as an oscillatory feature on the absorption cross-section. We compute the absorption cross-section and quasi-normal modes in the dual CFT picture. We also compare the absorption cross-section of ECOs to that of black holes. We find that the Rastall coupling constant plays a significant role for both objects. We also obtain that the echo time delay depends explicitly on the Rastall coupling constant. This coupling constant may play a role to recover the correction on time delay that is believed as a non-linear physics effect. Henceforth, the signature of the Rastall gravity can be probed from the time-delay observation.
| 10.589345
| 10.237756
| 10.452065
| 9.52279
| 10.513618
| 10.323064
| 10.419849
| 9.832519
| 9.935746
| 10.148908
| 9.991971
| 10.307256
| 10.28441
| 10.118309
| 10.3512
| 10.305066
| 10.628033
| 10.260826
| 10.291813
| 10.469591
| 10.292966
|
hep-th/0511029
|
Nakwoo Kim
|
Nakwoo Kim
|
AdS(3) Solutions of IIB Supergravity from D3-branes
|
10 pages, no figure, JHEP3.cls; v3: corrected errors in the published
version
|
JHEP0601:094,2006
|
10.1088/1126-6708/2006/01/094
| null |
hep-th
| null |
We consider pure D3-brane configurations of IIB string theory which lead to
supersymmetric solutions containing an AdS$_3$ factor. They can provide new
examples of AdS$_3$/CFT$_2$ examples on D3-branes whose worldvolume is
partially compactified. When the internal 7 dimensional space is non-compact,
they can be identified as supersymmetric fluctuations of higher dimensional AdS
solutions and are in general dual to 1/8-BPS operators thereof. We find that
supersymmetry requires the 7 dimensional space take the form of a warped U(1)
fibration over a 6 dimensional Kahler manifold.
|
[
{
"created": "Thu, 3 Nov 2005 07:05:32 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Feb 2006 06:07:52 GMT",
"version": "v2"
},
{
"created": "Wed, 8 Nov 2006 11:41:00 GMT",
"version": "v3"
}
] |
2009-11-11
|
[
[
"Kim",
"Nakwoo",
""
]
] |
We consider pure D3-brane configurations of IIB string theory which lead to supersymmetric solutions containing an AdS$_3$ factor. They can provide new examples of AdS$_3$/CFT$_2$ examples on D3-branes whose worldvolume is partially compactified. When the internal 7 dimensional space is non-compact, they can be identified as supersymmetric fluctuations of higher dimensional AdS solutions and are in general dual to 1/8-BPS operators thereof. We find that supersymmetry requires the 7 dimensional space take the form of a warped U(1) fibration over a 6 dimensional Kahler manifold.
| 8.57048
| 7.544458
| 10.272953
| 7.204679
| 7.927487
| 8.245761
| 8.220604
| 7.923096
| 7.53976
| 10.725052
| 7.473126
| 7.582109
| 8.726817
| 7.711266
| 7.67406
| 7.913072
| 7.831011
| 7.741388
| 7.643329
| 8.751947
| 7.8032
|
2106.11990
|
Monica Jinwoo Kang
|
Florent Baume, Monica Jinwoo Kang, and Craig Lawrie
|
Two 6d origins of 4d SCFTs: class $\mathcal{S}$ and 6d (1,0) on a torus
|
54 pages + references, 10 tables, 8 figures, Journal published
version
|
Phys.Rev.D 106 (2022) 8, 086003
|
10.1103/PhysRevD.106.086003
|
CALT-TH-2021-001
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider all 4d $\mathcal{N}=2$ theories of class $\mathcal{S}$ arising
from the compactification of exceptional 6d $(2,0)$ SCFTs on a three-punctured
sphere with a simple puncture. We find that each of these 4d theories has
another origin as a 6d $(1,0)$ SCFT compactified on a torus, which we check by
identifying and comparing the central charges and the flavor symmetry. Each 6d
theory is identified with a complex structure deformation of
$(\mathfrak{e}_n,\mathfrak{e}_n)$ minimal conformal matter, which corresponds
to a Higgs branch renormalization group flow. We find that this structure is
precisely replicated by the partial closure of the punctures in the class
$\mathcal{S}$ construction. We explain how the plurality of origins makes
manifest some aspects of 4d SCFTs, including flavor symmetry enhancements and
determining if it is a product SCFT. We further highlight the string theoretic
basis for this identification of 4d theories from different origins via mirror
symmetry.
|
[
{
"created": "Tue, 22 Jun 2021 18:00:08 GMT",
"version": "v1"
},
{
"created": "Sat, 26 Nov 2022 00:42:38 GMT",
"version": "v2"
}
] |
2022-11-29
|
[
[
"Baume",
"Florent",
""
],
[
"Kang",
"Monica Jinwoo",
""
],
[
"Lawrie",
"Craig",
""
]
] |
We consider all 4d $\mathcal{N}=2$ theories of class $\mathcal{S}$ arising from the compactification of exceptional 6d $(2,0)$ SCFTs on a three-punctured sphere with a simple puncture. We find that each of these 4d theories has another origin as a 6d $(1,0)$ SCFT compactified on a torus, which we check by identifying and comparing the central charges and the flavor symmetry. Each 6d theory is identified with a complex structure deformation of $(\mathfrak{e}_n,\mathfrak{e}_n)$ minimal conformal matter, which corresponds to a Higgs branch renormalization group flow. We find that this structure is precisely replicated by the partial closure of the punctures in the class $\mathcal{S}$ construction. We explain how the plurality of origins makes manifest some aspects of 4d SCFTs, including flavor symmetry enhancements and determining if it is a product SCFT. We further highlight the string theoretic basis for this identification of 4d theories from different origins via mirror symmetry.
| 7.385531
| 6.941044
| 7.955574
| 6.657812
| 7.35989
| 6.394799
| 7.068316
| 6.580221
| 6.813249
| 8.385767
| 6.483073
| 6.885223
| 7.474848
| 6.947608
| 6.850972
| 6.978144
| 6.910857
| 7.007764
| 6.928977
| 7.288146
| 6.937199
|
1704.03306
|
Wayne de Paula
|
Wayne de Paula
|
Motivations for AdS/QCD from 10D supergravity solutions
| null |
J.Phys.Conf.Ser. 706 (2016) no.4, 042017
|
10.1088/1742-6596/706/4/042017
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss some attempts for the construction of gravity duals of QCD-like
theories. It is analysed some properties of solutions of 10D Type IIB
supergravity theory that attempt to be dual to $\mathcal{N}$=1 gauge theories,
in particular the solutions that belong to Papadoulos-Tseytlin ansatz. We argue
that one could obtain 5D effective theories from 10d solutions and it motivates
the use of phenomenological AdS/QCD models.
|
[
{
"created": "Sat, 1 Apr 2017 20:27:57 GMT",
"version": "v1"
}
] |
2017-04-12
|
[
[
"de Paula",
"Wayne",
""
]
] |
We discuss some attempts for the construction of gravity duals of QCD-like theories. It is analysed some properties of solutions of 10D Type IIB supergravity theory that attempt to be dual to $\mathcal{N}$=1 gauge theories, in particular the solutions that belong to Papadoulos-Tseytlin ansatz. We argue that one could obtain 5D effective theories from 10d solutions and it motivates the use of phenomenological AdS/QCD models.
| 11.913689
| 11.067524
| 12.710047
| 10.631497
| 11.518394
| 11.708865
| 10.223543
| 11.408861
| 10.7357
| 12.717082
| 10.746393
| 10.683034
| 11.210836
| 10.75964
| 10.391463
| 10.429891
| 10.371243
| 10.75229
| 10.325816
| 11.107237
| 10.844357
|
hep-th/9510011
|
Martin Reuter
|
M.Reuter
|
Non-Commutative Geometry on Quantum Phase-Space
|
34 pages, latex
|
Int.J.Mod.Phys. A11 (1996) 1253-1278
|
10.1142/S0217751X96000560
|
DESY 95-112
|
hep-th
| null |
A non--commutative analogue of the classical differential forms is
constructed on the phase--space of an arbitrary quantum system. The
non--commutative forms are universal and are related to the quantum mechanical
dynamics in the same way as the classical forms are related to classical
dynamics.
They are constructed by applying the Weyl--Wigner symbol map to the
differential envelope of the linear operators on the quantum mechanical Hilbert
space. This leads to a representation of the non--commutative forms considered
by A.~Connes in terms of multiscalar functions on the classical phase--space.
In an appropriate coincidence limit they define a quantum deformation of the
classical tensor fields and both commutative and non--commutative forms can be
studied in a unified framework. We interprete the quantum differential forms in
physical terms and comment on possible applications.
|
[
{
"created": "Wed, 4 Oct 1995 09:35:58 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Reuter",
"M.",
""
]
] |
A non--commutative analogue of the classical differential forms is constructed on the phase--space of an arbitrary quantum system. The non--commutative forms are universal and are related to the quantum mechanical dynamics in the same way as the classical forms are related to classical dynamics. They are constructed by applying the Weyl--Wigner symbol map to the differential envelope of the linear operators on the quantum mechanical Hilbert space. This leads to a representation of the non--commutative forms considered by A.~Connes in terms of multiscalar functions on the classical phase--space. In an appropriate coincidence limit they define a quantum deformation of the classical tensor fields and both commutative and non--commutative forms can be studied in a unified framework. We interprete the quantum differential forms in physical terms and comment on possible applications.
| 7.027686
| 6.7878
| 7.553556
| 7.012405
| 6.9446
| 6.828511
| 6.502829
| 6.860551
| 6.79743
| 7.800185
| 6.630194
| 6.508769
| 6.788766
| 6.691801
| 6.725276
| 6.611481
| 6.75054
| 6.678928
| 6.674296
| 6.766577
| 6.552819
|
hep-th/0302217
|
Ari Pakman
|
Amit Giveon and Ari Pakman
|
More on Superstrings in AdS(3) x N
|
JHEP style, 22 pages; v2: new references and a couple of sentences on
N=1 are added
|
JHEP 0303 (2003) 056
|
10.1088/1126-6708/2003/03/056
|
RI-02-03
|
hep-th
| null |
We study superstring theories on AdS(3) x N backgrounds yielding N=2,3,4
extended superconformal symmetries in the dual boundary CFT. In each case the
necessary constraints on the internal worldsheet theory N are found.
|
[
{
"created": "Thu, 27 Feb 2003 17:50:01 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Mar 2003 15:13:19 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Giveon",
"Amit",
""
],
[
"Pakman",
"Ari",
""
]
] |
We study superstring theories on AdS(3) x N backgrounds yielding N=2,3,4 extended superconformal symmetries in the dual boundary CFT. In each case the necessary constraints on the internal worldsheet theory N are found.
| 9.632751
| 8.347589
| 17.787373
| 9.192962
| 9.833334
| 10.355601
| 9.176483
| 8.861885
| 8.822173
| 16.841234
| 8.328289
| 10.141635
| 13.051552
| 9.2788
| 9.09402
| 9.438403
| 8.565486
| 8.707067
| 8.961323
| 12.072312
| 9.098166
|
1609.09381
|
Arkady Tseytlin
|
M. Grigoriev and A.A. Tseytlin
|
On conformal higher spins in curved background
|
24 pages. v2,v3: minor corrections and remarks added
| null |
10.1088/1751-8121/aa5c5f
|
Imperial-TP-AT-2016-04
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We address the question of how to represent an interacting action for the
tower of conformal higher spin fields in a form covariant with respect to a
background metric. We use a background metric to define a star product which
plays a central role in the definition of the corresponding gauge
transformations. By an analogy with the kinetic term in the 4-derivative Weyl
gravity action expanded near an on-shell background one expects that the
kinetic term in such an action should be gauge-invariant in a Bach-flat metric.
We demonstrate this fact to first order in expansion in powers of the curvature
of the background metric. This generalizes the result of arXiv:1404.7452 for
spin 3 case to all conformal higher spins. We also comment on a possibility of
extending this claim to terms quadratic in the curvature and discuss the
appearance of background-dependent mixing terms in the quadratic part of the
conformal higher spin action.
|
[
{
"created": "Thu, 29 Sep 2016 15:13:44 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Nov 2016 12:16:11 GMT",
"version": "v2"
},
{
"created": "Tue, 6 Dec 2016 08:44:20 GMT",
"version": "v3"
}
] |
2017-04-05
|
[
[
"Grigoriev",
"M.",
""
],
[
"Tseytlin",
"A. A.",
""
]
] |
We address the question of how to represent an interacting action for the tower of conformal higher spin fields in a form covariant with respect to a background metric. We use a background metric to define a star product which plays a central role in the definition of the corresponding gauge transformations. By an analogy with the kinetic term in the 4-derivative Weyl gravity action expanded near an on-shell background one expects that the kinetic term in such an action should be gauge-invariant in a Bach-flat metric. We demonstrate this fact to first order in expansion in powers of the curvature of the background metric. This generalizes the result of arXiv:1404.7452 for spin 3 case to all conformal higher spins. We also comment on a possibility of extending this claim to terms quadratic in the curvature and discuss the appearance of background-dependent mixing terms in the quadratic part of the conformal higher spin action.
| 11.023425
| 9.910884
| 10.627599
| 9.59572
| 11.807323
| 10.606243
| 10.691634
| 9.932258
| 10.263691
| 11.601147
| 9.900135
| 10.149808
| 10.022507
| 10.129419
| 10.543698
| 10.23126
| 10.021366
| 10.168626
| 10.065622
| 10.509523
| 9.864539
|
1203.1992
|
Jia-Hui Huang
|
Jia-Hui Huang and Weijian Wang
|
Microcausality of spin-induced noncommutative theories
|
9 pages, no figure
| null |
10.1142/S0217732312502392
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this brief report, the microcausility of quantum field theory on
spin-induced noncom- mutative spacetime is discussed. It is found that for
spacelike seperation the microcausality is not obeyed by the theory generally.
It means that Lorentz covariance can not guaran- tee microcausality in quantum
field thoery. We also give some comments about quantum field thoeries on such
noncommutative spacetime and the relations between noncommutative spacetime and
causality.
|
[
{
"created": "Fri, 9 Mar 2012 04:58:28 GMT",
"version": "v1"
}
] |
2016-10-05
|
[
[
"Huang",
"Jia-Hui",
""
],
[
"Wang",
"Weijian",
""
]
] |
In this brief report, the microcausility of quantum field theory on spin-induced noncom- mutative spacetime is discussed. It is found that for spacelike seperation the microcausality is not obeyed by the theory generally. It means that Lorentz covariance can not guaran- tee microcausality in quantum field thoery. We also give some comments about quantum field thoeries on such noncommutative spacetime and the relations between noncommutative spacetime and causality.
| 12.334273
| 10.630123
| 10.328912
| 9.961935
| 11.158544
| 11.158336
| 10.794631
| 9.873788
| 9.523614
| 11.289677
| 10.411089
| 10.049616
| 10.993349
| 9.961797
| 9.866656
| 10.005794
| 10.491248
| 9.82646
| 10.193864
| 10.576129
| 10.286707
|
0809.4875
|
Jorma Louko
|
K. Kajantie, Jorma Louko, T. Tahkokallio
|
Isotropic AdS/CFT fireball
|
20 pages. v3: typos corrected. Published version
|
Phys.Rev.D78:126011,2008
|
10.1103/PhysRevD.78.126011
|
HIP-2008-28/TH
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the AdS/CFT thermodynamics of the spatially isotropic counterpart of
the Bjorken similarity flow in d-dimensional Minkowski space with d>=3, and of
its generalisation to linearly expanding d-dimensional
Friedmann-Robertson-Walker cosmologies with arbitrary values of the spatial
curvature parameter k. The bulk solution is a nonstatic foliation of the
generalised Schwarzschild-AdS black hole with a horizon of constant curvature
k. The boundary matter is an expanding perfect fluid that satisfies the first
law of thermodynamics for all values of the temperature and the spatial
curvature, but it admits a description as a scale-invariant fluid in local
thermal equilibrium only when the inverse Hawking temperature is negligible
compared with the spatial curvature length scale. A Casimir-type term in the
holographic energy-momentum tensor is identified from the threshold of black
hole formation and is shown to take different forms for k>=0 and k<0.
|
[
{
"created": "Mon, 29 Sep 2008 18:07:13 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Oct 2008 16:21:58 GMT",
"version": "v2"
},
{
"created": "Sun, 4 Jan 2009 14:22:54 GMT",
"version": "v3"
}
] |
2009-01-16
|
[
[
"Kajantie",
"K.",
""
],
[
"Louko",
"Jorma",
""
],
[
"Tahkokallio",
"T.",
""
]
] |
We study the AdS/CFT thermodynamics of the spatially isotropic counterpart of the Bjorken similarity flow in d-dimensional Minkowski space with d>=3, and of its generalisation to linearly expanding d-dimensional Friedmann-Robertson-Walker cosmologies with arbitrary values of the spatial curvature parameter k. The bulk solution is a nonstatic foliation of the generalised Schwarzschild-AdS black hole with a horizon of constant curvature k. The boundary matter is an expanding perfect fluid that satisfies the first law of thermodynamics for all values of the temperature and the spatial curvature, but it admits a description as a scale-invariant fluid in local thermal equilibrium only when the inverse Hawking temperature is negligible compared with the spatial curvature length scale. A Casimir-type term in the holographic energy-momentum tensor is identified from the threshold of black hole formation and is shown to take different forms for k>=0 and k<0.
| 8.62565
| 9.828775
| 9.967576
| 8.510324
| 9.307033
| 8.725981
| 9.193924
| 8.648031
| 8.66358
| 9.376483
| 8.536831
| 8.519213
| 8.138008
| 8.434844
| 8.299671
| 8.057624
| 8.295335
| 8.421147
| 8.2431
| 8.584534
| 8.240311
|
hep-th/0206177
|
Wajdi Gaddah
|
Wajdi Gaddah
|
A new analytic approach to physical observables in QCD
| null | null | null | null |
hep-th
| null |
An analytic ghost-free model for the QCD running coupling $\alpha(Q^2)$ is
proposed. It is constructed from a more general approach we developed
particularly for investigating physical observables of the type $F(Q^2)$ in
regions that are inaccessible to perturbative methods of quantum field theory.
This approach directly links the infrared (IR) and the ultraviolet(UV) regions
together under the causal analyticity requirement in the complex $Q^2-$plane.
Due to the inclusion of crucial non-perturbative effects, the running coupling
in our model not only excludes unphysical singularities but also freezes to a
finite value at the IR limit $Q^2=0$. This makes it consistent with a popular
phenomenological hypothesis, namely the IR freezing phenomenon. Applying this
model to compute the Gluon condensate, we obtain a result that is in good
agreement with the most recent phenomenological estimate. Having calculated the
$\beta-$function corresponding to our QCD coupling constant, we find that it
behaves qualitatively like its perturbative counterpart, when calculated beyond
the leading order and with a number of quark flavours allowing for the
occurrence of IR fixed points.
|
[
{
"created": "Wed, 19 Jun 2002 13:20:38 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Jul 2002 12:29:21 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Gaddah",
"Wajdi",
""
]
] |
An analytic ghost-free model for the QCD running coupling $\alpha(Q^2)$ is proposed. It is constructed from a more general approach we developed particularly for investigating physical observables of the type $F(Q^2)$ in regions that are inaccessible to perturbative methods of quantum field theory. This approach directly links the infrared (IR) and the ultraviolet(UV) regions together under the causal analyticity requirement in the complex $Q^2-$plane. Due to the inclusion of crucial non-perturbative effects, the running coupling in our model not only excludes unphysical singularities but also freezes to a finite value at the IR limit $Q^2=0$. This makes it consistent with a popular phenomenological hypothesis, namely the IR freezing phenomenon. Applying this model to compute the Gluon condensate, we obtain a result that is in good agreement with the most recent phenomenological estimate. Having calculated the $\beta-$function corresponding to our QCD coupling constant, we find that it behaves qualitatively like its perturbative counterpart, when calculated beyond the leading order and with a number of quark flavours allowing for the occurrence of IR fixed points.
| 9.227836
| 9.566203
| 8.509672
| 8.81788
| 10.149639
| 10.178578
| 9.547174
| 9.478211
| 8.648689
| 9.335078
| 9.306108
| 9.287828
| 8.823286
| 8.792304
| 8.989778
| 9.003724
| 8.913181
| 9.199101
| 9.008244
| 8.937012
| 9.103405
|
2211.05806
|
Gideon Vos
|
Joris Raeymaekers, Gideon Vos
|
Holography for bulk states in 3D quantum gravity
|
39 pages, 4 figures, 2 appendices
|
SciPost Phys. 15, 054 (2023)
|
10.21468/SciPostPhys.15.2.054
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we discuss the holographic description of states in the Hilbert
space of (2+1)-dimensional quantum gravity, living on a time slice in the bulk.
We focus on pure gravity coupled to pointlike sources for heavy spinning
particles. We develop a formulation where the equations for the backreacted
metric reduce to two decoupled Liouville equations with delta-function sources
under pseudosphere boundary conditions. We show that both the semiclassical
wavefunction and the gravity solution are determined by a universal object,
namely a classical Virasoro vacuum block on the sphere. In doing so we derive a
version of Polyakov's conjecture, as well as an existence criterion, for
classical Liouville theory on the pseudosphere. We also discuss how some of
these results are modified when considering closed universes with compact
spatial slices.
|
[
{
"created": "Thu, 10 Nov 2022 19:02:13 GMT",
"version": "v1"
}
] |
2023-08-02
|
[
[
"Raeymaekers",
"Joris",
""
],
[
"Vos",
"Gideon",
""
]
] |
In this work we discuss the holographic description of states in the Hilbert space of (2+1)-dimensional quantum gravity, living on a time slice in the bulk. We focus on pure gravity coupled to pointlike sources for heavy spinning particles. We develop a formulation where the equations for the backreacted metric reduce to two decoupled Liouville equations with delta-function sources under pseudosphere boundary conditions. We show that both the semiclassical wavefunction and the gravity solution are determined by a universal object, namely a classical Virasoro vacuum block on the sphere. In doing so we derive a version of Polyakov's conjecture, as well as an existence criterion, for classical Liouville theory on the pseudosphere. We also discuss how some of these results are modified when considering closed universes with compact spatial slices.
| 12.218898
| 10.498466
| 12.399594
| 10.60604
| 11.880279
| 11.095286
| 10.986178
| 11.335814
| 11.342199
| 13.71267
| 10.60011
| 11.166299
| 11.905136
| 11.716561
| 11.353728
| 11.176526
| 11.64846
| 11.259645
| 11.357979
| 12.493692
| 11.68343
|
hep-th/0607033
|
Alexios P. Polychronakos
|
Alexios P. Polychronakos
|
Physics and Mathematics of Calogero particles
|
Version to appear in Special Issue of Journal of Physics A:
Mathematical and General
|
J.Phys.A39:12793-12846,2006
|
10.1088/0305-4470/39/41/S07
|
CCNY-06-9
|
hep-th cond-mat.other math-ph math.MP
| null |
We give a review of the mathematical and physical properties of the
celebrated family of Calogero-like models and related spin chains.
|
[
{
"created": "Wed, 5 Jul 2006 23:47:00 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Aug 2006 22:27:50 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Polychronakos",
"Alexios P.",
""
]
] |
We give a review of the mathematical and physical properties of the celebrated family of Calogero-like models and related spin chains.
| 17.102388
| 12.667469
| 15.424743
| 11.355582
| 11.577492
| 13.831124
| 11.052563
| 11.397731
| 11.710872
| 14.892872
| 11.765871
| 14.115306
| 16.323786
| 13.696507
| 13.899404
| 13.600307
| 14.739581
| 13.62958
| 13.333619
| 15.785844
| 13.822375
|
1303.6096
|
Jan Vysoky
|
Branislav Jurco, Peter Schupp, Jan Vysoky
|
On the Generalized Geometry Origin of Noncommutative Gauge Theory
|
dedicated to Bruno Zumino on the occasion of his 90th birthday
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss noncommutative gauge theory from the generalized geometry point of
view. We argue that the equivalence between the commutative and semiclassically
noncommutative DBI actions is naturally encoded in the generalized geometry of
D-branes.
|
[
{
"created": "Mon, 25 Mar 2013 11:35:34 GMT",
"version": "v1"
},
{
"created": "Thu, 2 May 2013 05:50:50 GMT",
"version": "v2"
},
{
"created": "Tue, 30 Jul 2013 07:36:24 GMT",
"version": "v3"
}
] |
2013-07-31
|
[
[
"Jurco",
"Branislav",
""
],
[
"Schupp",
"Peter",
""
],
[
"Vysoky",
"Jan",
""
]
] |
We discuss noncommutative gauge theory from the generalized geometry point of view. We argue that the equivalence between the commutative and semiclassically noncommutative DBI actions is naturally encoded in the generalized geometry of D-branes.
| 8.147348
| 6.470715
| 8.241117
| 6.320245
| 6.261456
| 6.599597
| 6.125679
| 6.012522
| 7.140847
| 9.656366
| 5.998458
| 6.481991
| 7.657584
| 6.545706
| 6.419524
| 6.534623
| 6.27953
| 6.388543
| 6.467125
| 7.494843
| 6.373101
|
1410.3982
|
Maksym Teslyk Mr
|
Maksym Teslyk, Olena Teslyk
|
Particle thermalization entropy and Unruh effect
|
submitted to Ukr. J. Phys
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose the method for estimation of entropy generated during the string
breaking in high energy collisions. The approach is highly based on the ideas
proposed by Kharzeev D et al and may be useful in thermalization problem.
|
[
{
"created": "Wed, 15 Oct 2014 09:21:01 GMT",
"version": "v1"
}
] |
2014-10-16
|
[
[
"Teslyk",
"Maksym",
""
],
[
"Teslyk",
"Olena",
""
]
] |
We propose the method for estimation of entropy generated during the string breaking in high energy collisions. The approach is highly based on the ideas proposed by Kharzeev D et al and may be useful in thermalization problem.
| 23.72279
| 26.695127
| 22.478157
| 22.171446
| 23.191734
| 22.574804
| 22.943388
| 27.17218
| 20.797836
| 22.658697
| 22.026165
| 22.865873
| 21.899149
| 22.580381
| 22.287893
| 23.486582
| 22.395323
| 25.168552
| 21.49762
| 23.511049
| 21.172743
|
1802.00697
|
Xing-Hui Feng
|
Jun Peng and Xing-Hui Feng
|
Holographic Aspects of Quasi-topological Gravity
|
Latex, 19 pages; minor revisions, references added. arXiv admin note:
text overlap with arXiv:1708.07198 by other authors
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we study the holography of quasi-topological gravity in
several aspects. We redo the calculation of shear viscosity on the boundary CFT
with a new method which is associated with conserved Noether current and show
that it has only one mode explicitly. Then we study the butterfly effect in AdS
planar black hole and find it has two butterfly velocity modes because of the
quasi-topological term. We obtain new black hole solution through introducing
matter fields. We calculate the thermoelectric DC conductivity with momentum
dissipation in quasi-topological gravity and find its results are the same with
those of Einstein and Gauss-Bonnet gravities. These results show us explicit
similarities and differences between quasi-topological term and actual
topological term in the context of holography.
|
[
{
"created": "Thu, 1 Feb 2018 09:52:04 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Aug 2018 10:07:15 GMT",
"version": "v2"
}
] |
2018-08-07
|
[
[
"Peng",
"Jun",
""
],
[
"Feng",
"Xing-Hui",
""
]
] |
In this paper, we study the holography of quasi-topological gravity in several aspects. We redo the calculation of shear viscosity on the boundary CFT with a new method which is associated with conserved Noether current and show that it has only one mode explicitly. Then we study the butterfly effect in AdS planar black hole and find it has two butterfly velocity modes because of the quasi-topological term. We obtain new black hole solution through introducing matter fields. We calculate the thermoelectric DC conductivity with momentum dissipation in quasi-topological gravity and find its results are the same with those of Einstein and Gauss-Bonnet gravities. These results show us explicit similarities and differences between quasi-topological term and actual topological term in the context of holography.
| 11.064287
| 9.781378
| 10.597452
| 9.481612
| 9.478832
| 9.793059
| 9.740503
| 9.191217
| 9.452904
| 12.054572
| 9.611247
| 9.905162
| 10.855863
| 10.63038
| 10.185787
| 10.075471
| 10.297487
| 10.147014
| 10.552584
| 10.780077
| 10.194474
|
1506.06729
|
Henriette Elvang
|
Henriette Elvang and Marios Hadjiantonis
|
Exact results for corner contributions to the entanglement entropy and
Renyi entropies of free bosons and fermions in 3d
|
10 pages, 2 figures. v2: typos corrected, references added,
asymptotics updated
| null |
10.1016/j.physletb.2015.08.017
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the presence of a sharp corner in the boundary of the entanglement region,
the entanglement entropy (EE) and Renyi entropies for 3d CFTs have a
logarithmic term whose coefficient, the corner function, is scheme-independent.
In the limit where the corner becomes smooth, the corner function vanishes
quadratically with coefficient $\sigma$ for the EE and $\sigma_n$ for the Renyi
entropies. For a free real scalar and a free Dirac fermion, we evaluate
analytically the integral expressions of Casini, Huerta, and Leitao to derive
exact results for $\sigma$ and $\sigma_n$ for all $n=2,3,\dots$. The results
for $\sigma$ agree with a recent universality conjecture of Bueno, Myers, and
Witczak-Krempa that $\sigma/C_T = \pi^2/24$ in all 3d CFTs, where $C_T$ is the
central charge. For the Renyi entropies, the ratios $\sigma_n/C_T$ do not
indicate similar universality. However, in the limit $n \to \infty$, the
asymptotic values satisfy a simple relationship and equal $1/(4\pi^2)$ times
the asymptotic values of the free energy of free scalars/fermions on the
$n$-covered 3-sphere.
|
[
{
"created": "Mon, 22 Jun 2015 19:41:19 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Jun 2015 19:01:21 GMT",
"version": "v2"
}
] |
2015-08-12
|
[
[
"Elvang",
"Henriette",
""
],
[
"Hadjiantonis",
"Marios",
""
]
] |
In the presence of a sharp corner in the boundary of the entanglement region, the entanglement entropy (EE) and Renyi entropies for 3d CFTs have a logarithmic term whose coefficient, the corner function, is scheme-independent. In the limit where the corner becomes smooth, the corner function vanishes quadratically with coefficient $\sigma$ for the EE and $\sigma_n$ for the Renyi entropies. For a free real scalar and a free Dirac fermion, we evaluate analytically the integral expressions of Casini, Huerta, and Leitao to derive exact results for $\sigma$ and $\sigma_n$ for all $n=2,3,\dots$. The results for $\sigma$ agree with a recent universality conjecture of Bueno, Myers, and Witczak-Krempa that $\sigma/C_T = \pi^2/24$ in all 3d CFTs, where $C_T$ is the central charge. For the Renyi entropies, the ratios $\sigma_n/C_T$ do not indicate similar universality. However, in the limit $n \to \infty$, the asymptotic values satisfy a simple relationship and equal $1/(4\pi^2)$ times the asymptotic values of the free energy of free scalars/fermions on the $n$-covered 3-sphere.
| 5.436157
| 5.123181
| 6.579443
| 5.269213
| 5.289398
| 5.130495
| 5.322
| 5.160751
| 5.085015
| 7.378572
| 4.866983
| 5.146165
| 5.720171
| 5.374007
| 5.290905
| 5.260715
| 5.256616
| 5.278109
| 5.19989
| 5.661377
| 5.198586
|
1112.1638
|
Bartlomiej Czech
|
Bartlomiej Czech
|
Barnacles -- A Novel Channel for Vacuum Decay
|
6 pp. plus references
| null |
10.1016/j.physletb.2012.06.018
| null |
hep-th astro-ph.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
I show that cosmological bubble walls in the thin wall approximation are
unstable to the creation of "barnacles" -- loci of different wall tension
adjacent to regions filled with a third vacuum. Barnacle formation leads to the
same observational consequences as the extensively studied bubble collision
scenario, but occurs exponentially more often. The process is described by a
saddle point of the thin wall action with two negative modes.
|
[
{
"created": "Wed, 7 Dec 2011 17:27:15 GMT",
"version": "v1"
}
] |
2015-06-03
|
[
[
"Czech",
"Bartlomiej",
""
]
] |
I show that cosmological bubble walls in the thin wall approximation are unstable to the creation of "barnacles" -- loci of different wall tension adjacent to regions filled with a third vacuum. Barnacle formation leads to the same observational consequences as the extensively studied bubble collision scenario, but occurs exponentially more often. The process is described by a saddle point of the thin wall action with two negative modes.
| 20.308359
| 17.108473
| 19.130009
| 15.736372
| 21.255894
| 17.894224
| 20.689053
| 15.821541
| 18.201015
| 22.534414
| 19.842949
| 16.920555
| 17.340496
| 18.149698
| 18.288555
| 17.597025
| 17.391235
| 18.063351
| 17.688421
| 17.672052
| 16.699829
|
1003.1528
|
Damien A. Easson
|
Damien A. Easson, Paul H. Frampton, George F. Smoot
|
Entropic Inflation
|
12 pages; version to appear in IJMPA
| null |
10.1142/S0217751X12500662
| null |
hep-th astro-ph.CO hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
One of the major pillars of modern cosmology theory is a period of
accelerating expansion in the early universe. This accelerating expansion, or
inflation, must be sustained for at least 30 e--foldings. One mechanism used to
drive the acceleration is the addition of a new energy field, called the
Inflaton; often this is a scalar field. We propose an alternative mechanism
which, like our approach to explain the late-time accelerating universe, uses
the entropy and temperature intrinsic to information holographically stored on
a surface enclosing the observed space. The acceleration is due in both cases
to an emergent entropic force, naturally arising from the information storage
on the horizon.
|
[
{
"created": "Sun, 7 Mar 2010 22:45:49 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Mar 2010 09:42:56 GMT",
"version": "v2"
},
{
"created": "Fri, 13 Apr 2012 21:34:34 GMT",
"version": "v3"
}
] |
2012-04-17
|
[
[
"Easson",
"Damien A.",
""
],
[
"Frampton",
"Paul H.",
""
],
[
"Smoot",
"George F.",
""
]
] |
One of the major pillars of modern cosmology theory is a period of accelerating expansion in the early universe. This accelerating expansion, or inflation, must be sustained for at least 30 e--foldings. One mechanism used to drive the acceleration is the addition of a new energy field, called the Inflaton; often this is a scalar field. We propose an alternative mechanism which, like our approach to explain the late-time accelerating universe, uses the entropy and temperature intrinsic to information holographically stored on a surface enclosing the observed space. The acceleration is due in both cases to an emergent entropic force, naturally arising from the information storage on the horizon.
| 13.351624
| 14.831542
| 12.734039
| 12.647158
| 14.299356
| 13.921994
| 14.021346
| 13.593885
| 13.38737
| 13.311351
| 12.607875
| 12.413085
| 12.456055
| 11.928156
| 12.572888
| 11.86797
| 12.748653
| 12.295147
| 12.571141
| 12.727619
| 12.358191
|
1106.1416
|
BingKan Xue
|
BingKan Xue and Paul J. Steinhardt
|
Evolution of curvature and anisotropy near a nonsingular bounce
|
21 pages, 3 figures
| null |
10.1103/PhysRevD.84.083520
| null |
hep-th astro-ph.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider bouncing cosmologies in which an ekpyrotic contraction phase with
w >> 1 is followed by a bouncing phase with w < -1 that violates the null
energy condition. The bouncing phase, induced by ghost condensation, is
designed to produce a classically nonsingular bounce at a finite value of the
scale factor. We show that the initial curvature and anisotropy, though diluted
during the ekpyrotic phase, grow back exponentially during the bouncing phase.
Moreover, curvature perturbations and anisotropy are generated by quantum
fluctuations during the ekpyrotic phase. In the bouncing phase, however, an
adiabatic curvature perturbation grows to dominate and contributes a blue
spectrum that spoils the scale-invariance. Meanwhile, a scalar shear
perturbation grows nonlinear and creates an overwhelming anisotropy that
disrupts the nonsingular bounce altogether.
|
[
{
"created": "Tue, 7 Jun 2011 19:14:02 GMT",
"version": "v1"
},
{
"created": "Sun, 25 Sep 2011 21:08:00 GMT",
"version": "v2"
}
] |
2013-05-29
|
[
[
"Xue",
"BingKan",
""
],
[
"Steinhardt",
"Paul J.",
""
]
] |
We consider bouncing cosmologies in which an ekpyrotic contraction phase with w >> 1 is followed by a bouncing phase with w < -1 that violates the null energy condition. The bouncing phase, induced by ghost condensation, is designed to produce a classically nonsingular bounce at a finite value of the scale factor. We show that the initial curvature and anisotropy, though diluted during the ekpyrotic phase, grow back exponentially during the bouncing phase. Moreover, curvature perturbations and anisotropy are generated by quantum fluctuations during the ekpyrotic phase. In the bouncing phase, however, an adiabatic curvature perturbation grows to dominate and contributes a blue spectrum that spoils the scale-invariance. Meanwhile, a scalar shear perturbation grows nonlinear and creates an overwhelming anisotropy that disrupts the nonsingular bounce altogether.
| 7.144372
| 7.46631
| 6.978131
| 7.140095
| 8.010733
| 7.709588
| 7.397021
| 6.836026
| 7.221521
| 8.044626
| 6.9783
| 6.945514
| 6.85182
| 7.002403
| 6.888912
| 7.125271
| 6.777139
| 6.919892
| 7.176959
| 6.934865
| 6.800005
|
2312.10507
|
Timofei Snegirev
|
Timofei Snegirev
|
Perfect fluid coupled to a solenoidal field which enjoys the l-conformal
Galilei symmetry
|
9 pages
| null |
10.1016/j.nuclphysb.2024.116526
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A non-relativistic (Galilei-invariant) model of a perfect fluid coupled to a
solenoidal field in arbitrary spatial dimension is considered. It contains an
arbitrary parameter $\kappa$ and in the particular case of $\kappa=1$ it
describes a perfect fluid coupled to a magnetic field. For a special value of
$\kappa$, the theory admits the Schrodinger symmetry group which is consistent
with the magnetic case in two spatial dimensions only. Generalization to the
case of the l-conformal Galilei group for an arbitrary half-integer parameter l
is constructed.
|
[
{
"created": "Sat, 16 Dec 2023 17:35:16 GMT",
"version": "v1"
}
] |
2024-06-19
|
[
[
"Snegirev",
"Timofei",
""
]
] |
A non-relativistic (Galilei-invariant) model of a perfect fluid coupled to a solenoidal field in arbitrary spatial dimension is considered. It contains an arbitrary parameter $\kappa$ and in the particular case of $\kappa=1$ it describes a perfect fluid coupled to a magnetic field. For a special value of $\kappa$, the theory admits the Schrodinger symmetry group which is consistent with the magnetic case in two spatial dimensions only. Generalization to the case of the l-conformal Galilei group for an arbitrary half-integer parameter l is constructed.
| 8.230309
| 7.926672
| 7.564943
| 7.113955
| 7.617538
| 7.310589
| 7.561915
| 7.290262
| 7.456591
| 8.893125
| 7.132286
| 7.113092
| 7.766969
| 7.417264
| 7.428264
| 7.655572
| 6.942713
| 7.498336
| 7.471032
| 8.346011
| 7.243842
|
hep-th/9604147
|
Austin Pickering
|
Austin Pickering and Peter West
|
The One Loop Effective Super-Potential and Non-Holomorphicity
|
LaTeX, 10 pages, 7 figures, uses bezier.sty and ifthen.sty. First
amendment. The results are extended to include the Kahlerian term for a
general renormalisable N=1 supersymmetric theory, containing Wess-Zumino and
Yang-Mills multiplets with a cubic superpotential. One reference has been
changed and one has been added. Second amendment. One acknowledgment has been
altered in the `note added in proof'
|
Phys.Lett. B383 (1996) 54-62
|
10.1016/0370-2693(96)00702-2
|
kcl-th-96-8
|
hep-th
| null |
We calculate the Kahlerian and the lowest order non-Kahlerian contributions
to the one loop effective superpotential using super-Feynman graphs in the
massless Wess-Zumino Model, the massive Wess-Zumino Model and N=1, U(1) gauge
theory. We also calculate the Kahlerian term in Yang-Mills Theory for a general
gauge group. Using this latter result we find the one loop Kahlerian
contribution for N=2 Yang-Mills Theory in terms of N=1 superfields and we show
that it can only come from non-holomorphic contributions to the N=2 effective
potential.
|
[
{
"created": "Tue, 23 Apr 1996 16:26:21 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Jun 1996 20:06:25 GMT",
"version": "v2"
},
{
"created": "Tue, 11 Jun 1996 23:03:48 GMT",
"version": "v3"
}
] |
2009-10-30
|
[
[
"Pickering",
"Austin",
""
],
[
"West",
"Peter",
""
]
] |
We calculate the Kahlerian and the lowest order non-Kahlerian contributions to the one loop effective superpotential using super-Feynman graphs in the massless Wess-Zumino Model, the massive Wess-Zumino Model and N=1, U(1) gauge theory. We also calculate the Kahlerian term in Yang-Mills Theory for a general gauge group. Using this latter result we find the one loop Kahlerian contribution for N=2 Yang-Mills Theory in terms of N=1 superfields and we show that it can only come from non-holomorphic contributions to the N=2 effective potential.
| 7.446876
| 6.387074
| 6.492743
| 6.328133
| 6.617437
| 6.629687
| 6.638963
| 6.698483
| 6.346502
| 7.765019
| 6.593222
| 6.921032
| 7.045661
| 6.89834
| 7.181686
| 6.979174
| 6.924212
| 6.951386
| 7.115809
| 7.208244
| 6.844903
|
hep-th/9502061
|
Moshe Flato
|
Moshe Flato, Jacques C.H. Simon and Erik Taflin
|
Asymptotic completeness, global existence and the infrared problem for
the Maxwell-Dirac equations
|
plain TeX with amssym and a few macros, 308 pages
| null | null | null |
hep-th math.AP
| null |
In this monograph we prove that the nonlinear Lie algebra representation
given by the manifestly covariant Maxwell-Dirac (M-D) equations is integrable
to a global nonlinear representation $U$ of the Poincar\'e group ${\cal P}_0$
on a differentiable manifold ${\cal U}_\infty$ of small initial conditions for
the M-D equations. This solves, in particular, the Cauchy problem for the M-D
equations, namely existence of global solutions for initial data in ${\cal
U}_\infty$ at $t=0$. The existence of modified wave operators $\Omega_+$ and
$\Omega_-$ and asymptotic completeness is proved. The asymptotic
representations $U^{(\epsilon)}_g = \Omega^{-1}_\epsilon \circ U_g \circ
\Omega_\epsilon$, $\epsilon = \pm$, $g \in {\cal P}_0$, turn out to be
nonlinear. A cohomological interpretation of the results in the spirit of
nonlinear representation theory and its connection to the infrared tail of the
electron is given.
|
[
{
"created": "Fri, 10 Feb 1995 20:04:58 GMT",
"version": "v1"
}
] |
2008-02-03
|
[
[
"Flato",
"Moshe",
""
],
[
"Simon",
"Jacques C. H.",
""
],
[
"Taflin",
"Erik",
""
]
] |
In this monograph we prove that the nonlinear Lie algebra representation given by the manifestly covariant Maxwell-Dirac (M-D) equations is integrable to a global nonlinear representation $U$ of the Poincar\'e group ${\cal P}_0$ on a differentiable manifold ${\cal U}_\infty$ of small initial conditions for the M-D equations. This solves, in particular, the Cauchy problem for the M-D equations, namely existence of global solutions for initial data in ${\cal U}_\infty$ at $t=0$. The existence of modified wave operators $\Omega_+$ and $\Omega_-$ and asymptotic completeness is proved. The asymptotic representations $U^{(\epsilon)}_g = \Omega^{-1}_\epsilon \circ U_g \circ \Omega_\epsilon$, $\epsilon = \pm$, $g \in {\cal P}_0$, turn out to be nonlinear. A cohomological interpretation of the results in the spirit of nonlinear representation theory and its connection to the infrared tail of the electron is given.
| 6.211067
| 8.004601
| 7.330971
| 6.407929
| 7.310977
| 7.323807
| 7.058596
| 7.150962
| 7.072683
| 7.890757
| 6.680043
| 6.399398
| 6.40906
| 6.193203
| 6.313094
| 6.589518
| 6.624493
| 6.383783
| 6.536628
| 6.627095
| 6.431429
|
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