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2.01k
| perplexity_Llama-3.1-8B
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1.68k
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float64 2.95
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| perplexity_s8-L-3.1-8B-qkv
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|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9707261
|
Bernard de Wit
|
B. de Wit, K. Peeters and J.C. Plefka
|
The supermembrane with winding
|
Contribution to the proc. SUSY '97, Latex with espcrc2 style file
|
Nucl.Phys.Proc.Suppl. 62 (1998) 405-411
|
10.1016/S0920-5632(97)00681-6
|
THU-97/20, NIKHEF 96-032
|
hep-th
| null |
The supersymmetry algebra for supermembranes, quantized in the light-cone
gauge, exhibits central charges induced by wrapping the membrane around compact
dimensions. These central charges are manifestly consistent with Lorentz
symmetry. While the central charges raise the mass of the membrane states, they
still leave the mass spectrum continuous, at least generically. The lower bound
on the mass spectrum is set by the winding number and corresponds to a BPS
state.
|
[
{
"created": "Thu, 31 Jul 1997 18:40:50 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"de Wit",
"B.",
""
],
[
"Peeters",
"K.",
""
],
[
"Plefka",
"J. C.",
""
]
] |
The supersymmetry algebra for supermembranes, quantized in the light-cone gauge, exhibits central charges induced by wrapping the membrane around compact dimensions. These central charges are manifestly consistent with Lorentz symmetry. While the central charges raise the mass of the membrane states, they still leave the mass spectrum continuous, at least generically. The lower bound on the mass spectrum is set by the winding number and corresponds to a BPS state.
| 9.476543
| 8.04353
| 9.659906
| 8.32889
| 8.666809
| 8.643708
| 8.110306
| 8.109566
| 8.54222
| 10.632929
| 8.703159
| 8.597582
| 9.336748
| 8.723363
| 8.46695
| 8.937979
| 8.394078
| 8.186267
| 8.722274
| 9.338749
| 8.249809
|
hep-th/9811041
|
Antonio Gonzalez-Arroyo
|
A. Gonzalez-Arroyo
|
On Nahm's transformation with twisted boundary conditions
|
18 pages
|
Nucl.Phys.B548:626-636,1999
|
10.1016/S0550-3213(99)00075-9
|
FTUAM-98-20 and IFT-UAM/CSIC-98-25
|
hep-th math-ph math.MP
| null |
Following two different tracks, we arrive at a definition of Nahm's
transformation valid for self-dual fields on the 4-dimensional torus with
non-zero twist tensor.The transform is again a self-dual gauge field defined on
a new torus and with non-zero twist tensor. It preserves the property of being
an involution.
|
[
{
"created": "Wed, 4 Nov 1998 12:18:30 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Gonzalez-Arroyo",
"A.",
""
]
] |
Following two different tracks, we arrive at a definition of Nahm's transformation valid for self-dual fields on the 4-dimensional torus with non-zero twist tensor.The transform is again a self-dual gauge field defined on a new torus and with non-zero twist tensor. It preserves the property of being an involution.
| 26.340136
| 20.495834
| 20.937695
| 18.251139
| 17.30109
| 21.869028
| 18.819838
| 20.886122
| 18.285965
| 26.401739
| 18.999887
| 19.207376
| 20.307512
| 19.284441
| 18.376501
| 19.035784
| 18.893349
| 18.903526
| 17.949471
| 19.596914
| 19.255405
|
2008.02713
|
Shai Chester
|
Shai M. Chester, Michael B. Green, Silviu S. Pufu, Yifan Wang, and
Congkao Wen
|
New Modular Invariants in $\mathcal{N}=4$ Super-Yang-Mills Theory
|
33 pages plus appendices, v2 accepted to JHEP
| null |
10.1007/JHEP04(2021)212
|
PUPT-2620, QMUL-PH-20-16
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study modular invariants arising in the four-point functions of the stress
tensor multiplet operators of the ${\cal N} = 4$ $SU(N)$ super-Yang-Mills
theory, in the limit where $N$ is taken to be large while the complexified
Yang-Mills coupling $\tau$ is held fixed. The specific four-point functions we
consider are integrated correlators obtained by taking various combinations of
four derivatives of the squashed sphere partition function of the ${\cal N} =
2^*$ theory with respect to the squashing parameter $b$ and mass parameter $m$,
evaluated at the values $b=1$ and $m=0$ that correspond to the ${\cal N} = 4$
theory on a round sphere. At each order in the $1/N$ expansion, these fourth
derivatives are modular invariant functions of $(\tau, \bar \tau)$. We present
evidence that at half-integer orders in $1/N$, these modular invariants are
linear combinations of non-holomorphic Eisenstein series, while at integer
orders in $1/N$, they are certain "generalized Eisenstein series" which satisfy
inhomogeneous Laplace eigenvalue equations on the hyperbolic plane. These
results reproduce known features of the low-energy expansion of the
four-graviton amplitude in type IIB superstring theory in ten-dimensional flat
space and have interesting implications for the structure of the analogous
expansion in $AdS_5\times S^5$.
|
[
{
"created": "Thu, 6 Aug 2020 15:30:52 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Apr 2021 07:22:42 GMT",
"version": "v2"
}
] |
2021-05-12
|
[
[
"Chester",
"Shai M.",
""
],
[
"Green",
"Michael B.",
""
],
[
"Pufu",
"Silviu S.",
""
],
[
"Wang",
"Yifan",
""
],
[
"Wen",
"Congkao",
""
]
] |
We study modular invariants arising in the four-point functions of the stress tensor multiplet operators of the ${\cal N} = 4$ $SU(N)$ super-Yang-Mills theory, in the limit where $N$ is taken to be large while the complexified Yang-Mills coupling $\tau$ is held fixed. The specific four-point functions we consider are integrated correlators obtained by taking various combinations of four derivatives of the squashed sphere partition function of the ${\cal N} = 2^*$ theory with respect to the squashing parameter $b$ and mass parameter $m$, evaluated at the values $b=1$ and $m=0$ that correspond to the ${\cal N} = 4$ theory on a round sphere. At each order in the $1/N$ expansion, these fourth derivatives are modular invariant functions of $(\tau, \bar \tau)$. We present evidence that at half-integer orders in $1/N$, these modular invariants are linear combinations of non-holomorphic Eisenstein series, while at integer orders in $1/N$, they are certain "generalized Eisenstein series" which satisfy inhomogeneous Laplace eigenvalue equations on the hyperbolic plane. These results reproduce known features of the low-energy expansion of the four-graviton amplitude in type IIB superstring theory in ten-dimensional flat space and have interesting implications for the structure of the analogous expansion in $AdS_5\times S^5$.
| 4.03868
| 3.859721
| 4.605515
| 3.912316
| 3.937113
| 4.074881
| 3.961724
| 3.896617
| 3.726563
| 5.206892
| 3.779712
| 3.917709
| 4.160535
| 3.913944
| 3.887437
| 3.959042
| 3.763721
| 3.89295
| 3.910733
| 4.2015
| 3.89046
|
1307.4740
|
Anton van Niekerk
|
Alex Buchel, Robert C. Myers and Anton van Niekerk
|
Universality of Abrupt Holographic Quenches
|
6 pages, 4 figures
|
Phys. Rev. Lett. 111, 201602 (2013)
|
10.1103/PhysRevLett.111.201602
| null |
hep-th cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We make an analytic investigation of rapid quenches of relevant operators in
d-dimensional holographic CFT's, which admit a dual gravity description. We
uncover a universal scaling behaviour in the response of the system, which
depends only on the conformal dimension of the quenched operator in the
vicinity of the ultraviolet fixed point of the theory. Unless the amplitude of
the quench is scaled appropriately, the work done on a system during the quench
diverges in the limit of abrupt quenches for operators with dimension
$\frac{d}{2} \le\Delta < d$.
|
[
{
"created": "Wed, 17 Jul 2013 19:34:27 GMT",
"version": "v1"
}
] |
2013-11-20
|
[
[
"Buchel",
"Alex",
""
],
[
"Myers",
"Robert C.",
""
],
[
"van Niekerk",
"Anton",
""
]
] |
We make an analytic investigation of rapid quenches of relevant operators in d-dimensional holographic CFT's, which admit a dual gravity description. We uncover a universal scaling behaviour in the response of the system, which depends only on the conformal dimension of the quenched operator in the vicinity of the ultraviolet fixed point of the theory. Unless the amplitude of the quench is scaled appropriately, the work done on a system during the quench diverges in the limit of abrupt quenches for operators with dimension $\frac{d}{2} \le\Delta < d$.
| 8.968073
| 7.572796
| 8.445688
| 7.983052
| 7.963225
| 8.021853
| 8.068391
| 7.837574
| 7.783161
| 9.098665
| 7.478577
| 8.009558
| 8.470422
| 8.152785
| 7.979591
| 8.025148
| 7.877772
| 7.634229
| 8.382333
| 8.900532
| 7.91611
|
hep-th/0106177
|
Mirjam Cvetic
|
Mirjam Cvetic (University of Pennsylvania and ITP, University of CA,
Santa Barbara), G. W. Gibbons (DAMTP, Cambridge University), H. Lu
(University of Michigan), C. N. Pope (Texas A&M University)
|
Resolved Branes and M-theory on Special Holonomy Spaces
|
19 Pages Contribution to Strings 2001
| null | null |
UPR-944-T,ITP-01-49,MCTP-01-29,CTP TAMU-23/01
|
hep-th
| null |
We review the construction of regular p-brane solutions of M-theory and
string theory with less than maximal supersymmetry whose transverse spaces have
metrics with special holonomy, and where additional fluxes allow brane
resolutions via transgression terms. We focus on the properties of resolved
M2-branes and fractional D2-branes, whose transverse spaces are Ricci flat
eight-dimensional and seven-dimensional spaces of special holonomy. We also
review fractional M2-branes with transverse spaces corresponding to the new
two-parameter Spin(7) holonomy metrics, and their connection to fractional
D2-branes with transverse spaces of G_2 holonomy.
|
[
{
"created": "Tue, 19 Jun 2001 20:29:40 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Cvetic",
"Mirjam",
"",
"University of Pennsylvania and ITP, University of CA,\n Santa Barbara"
],
[
"Gibbons",
"G. W.",
"",
"DAMTP, Cambridge University"
],
[
"Lu",
"H.",
"",
"University of Michigan"
],
[
"Pope",
"C. N.",
"",
"Texas A&M University"
]
] |
We review the construction of regular p-brane solutions of M-theory and string theory with less than maximal supersymmetry whose transverse spaces have metrics with special holonomy, and where additional fluxes allow brane resolutions via transgression terms. We focus on the properties of resolved M2-branes and fractional D2-branes, whose transverse spaces are Ricci flat eight-dimensional and seven-dimensional spaces of special holonomy. We also review fractional M2-branes with transverse spaces corresponding to the new two-parameter Spin(7) holonomy metrics, and their connection to fractional D2-branes with transverse spaces of G_2 holonomy.
| 9.893262
| 6.431059
| 10.760174
| 7.326486
| 6.873303
| 6.814319
| 7.727765
| 7.102356
| 7.2523
| 11.268328
| 7.617525
| 8.813703
| 9.654495
| 8.542267
| 8.69359
| 8.839634
| 8.5764
| 8.430833
| 8.6726
| 9.687094
| 8.731758
|
hep-th/9907155
|
Hwang-hyun Kwon
|
Michael B. Green, Michael Gutperle and Hwang-h. Kwon
|
Light-cone Quantum Mechanics of the Eleven-dimensional Superparticle
|
31 pages, harvmac (b); A minor TeX error corrected
|
JHEP 9908:012,1999
|
10.1088/1126-6708/1999/08/012
|
DAMTP-1999-92, PUPT-1880
|
hep-th
| null |
The linearized interactions of eleven-dimensional supergravity are obtained
in a manifestly supersymmetric light-cone gauge formalism. These vertices are
used to calculate certain one-loop processes involving external gravitini,
antisymmetric three-form potentials and gravitons, thereby determining some
protected terms in the effective action of M-theory compactified on a
two-torus.
|
[
{
"created": "Mon, 19 Jul 1999 11:39:06 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Jul 1999 17:14:29 GMT",
"version": "v2"
}
] |
2010-02-03
|
[
[
"Green",
"Michael B.",
""
],
[
"Gutperle",
"Michael",
""
],
[
"Kwon",
"Hwang-h.",
""
]
] |
The linearized interactions of eleven-dimensional supergravity are obtained in a manifestly supersymmetric light-cone gauge formalism. These vertices are used to calculate certain one-loop processes involving external gravitini, antisymmetric three-form potentials and gravitons, thereby determining some protected terms in the effective action of M-theory compactified on a two-torus.
| 11.084758
| 7.818727
| 11.336621
| 7.624663
| 7.993198
| 8.20218
| 8.038242
| 8.356526
| 7.325613
| 9.684484
| 8.174323
| 8.499204
| 10.036407
| 8.376683
| 8.486909
| 8.548367
| 8.3125
| 8.494203
| 8.331949
| 9.923024
| 8.823465
|
1301.2874
|
Davoud Kamani
|
Davoud Kamani
|
Some $\mathbf{Z}_2$-invariant Variables: Constructed of the Scalars
Dilaton and Axion
|
11 pages, Latex, No figure. In the revised version some
interpretations have been improved
|
Eur. Phys. J. C (2014) 74:2846
|
10.1140/epjc/s10052-014-2846-y
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using the dilaton scalar and axion pseudoscalar fields we construct a number
of scalars and differential forms which are symmetric under the
$\mathbf{Z}_2$-subgroup of the group $SL(2, \mathbf{R})$. These invariants
enable us to establish various 10-dimensional invariant actions. Other
invariants which are not independent from the previous ones will be detached.
|
[
{
"created": "Mon, 14 Jan 2013 07:32:19 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Mar 2013 11:38:49 GMT",
"version": "v2"
},
{
"created": "Thu, 28 Nov 2013 15:59:09 GMT",
"version": "v3"
}
] |
2014-04-28
|
[
[
"Kamani",
"Davoud",
""
]
] |
Using the dilaton scalar and axion pseudoscalar fields we construct a number of scalars and differential forms which are symmetric under the $\mathbf{Z}_2$-subgroup of the group $SL(2, \mathbf{R})$. These invariants enable us to establish various 10-dimensional invariant actions. Other invariants which are not independent from the previous ones will be detached.
| 13.972728
| 12.661143
| 13.786461
| 12.888319
| 13.430571
| 14.362805
| 12.784736
| 12.976703
| 12.46678
| 14.017646
| 11.932978
| 12.27916
| 12.649961
| 12.357924
| 12.734949
| 12.627064
| 12.623001
| 12.41002
| 12.237537
| 12.313608
| 12.18643
|
hep-th/9807062
|
Takahiro Masuda
|
T.Masuda and H.Suzuki (Hokkaido Univ.)
|
Prepotentials, Bi-linear Forms on Periods and Enhanced Gauge Symmetries
in Type-II Strings
|
Latex file(34pp), a reference added, typos corrected
|
Int.J.Mod.Phys.A14:1177-1204,1999
|
10.1142/S0217751X99000610
|
EPHOU 98-009
|
hep-th
| null |
We construct a bi-linear form on the periods of Calabi-Yau spaces. These are
used to obtain the prepotentials around conifold singularities in type-II
strings compactified on Calabi-Yau space. The explicit construction of the
bi-linear forms is achieved for the one-moduli models as well as two moduli
models with K3-fibrations where the enhanced gauge symmetry is known to be
observed at conifold locus. We also show how these bi-linear forms are related
with the existence of flat coordinates. We list the resulting prepotentials in
two moduli models around the conifold locus, which contains alpha' corrections
of 4-D N=2 SUSY SU(2) Yang-Mills theory as the stringy effect.
|
[
{
"created": "Thu, 9 Jul 1998 18:48:55 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Sep 1998 05:15:18 GMT",
"version": "v2"
},
{
"created": "Tue, 8 Sep 1998 00:28:36 GMT",
"version": "v3"
},
{
"created": "Tue, 6 Oct 1998 05:25:05 GMT",
"version": "v4"
}
] |
2014-11-18
|
[
[
"Masuda",
"T.",
"",
"Hokkaido Univ."
],
[
"Suzuki",
"H.",
"",
"Hokkaido Univ."
]
] |
We construct a bi-linear form on the periods of Calabi-Yau spaces. These are used to obtain the prepotentials around conifold singularities in type-II strings compactified on Calabi-Yau space. The explicit construction of the bi-linear forms is achieved for the one-moduli models as well as two moduli models with K3-fibrations where the enhanced gauge symmetry is known to be observed at conifold locus. We also show how these bi-linear forms are related with the existence of flat coordinates. We list the resulting prepotentials in two moduli models around the conifold locus, which contains alpha' corrections of 4-D N=2 SUSY SU(2) Yang-Mills theory as the stringy effect.
| 11.047257
| 10.642273
| 12.256154
| 10.004412
| 10.90933
| 10.528857
| 9.540634
| 10.492458
| 10.760727
| 14.338536
| 9.848113
| 10.295015
| 10.864406
| 10.206558
| 10.143687
| 10.171845
| 10.266275
| 10.088959
| 10.242222
| 10.81958
| 9.958722
|
1208.5979
|
Eoin \'O Colg\'ain
|
Eoin \'O Colg\'ain
|
Beyond LLM in M-theory
|
1+30 pages, footnote added
|
JHEP 1212 (2012) 023
|
10.1007/JHEP12(2012)023
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Lin, Lunin, Maldacena (LLM) ansatz in D = 11 supports two independent
Killing directions when a general Killing spinor ansatz is considered. Here we
show that these directions always commute, identify when the Killing spinors
are charged, and show that both their inner product and resulting geometry are
governed by two fundamental constants. In particular, setting one constant to
zero leads to AdS7 x S4, setting the other to zero gives AdS4 x S7, while flat
spacetime is recovered when both these constants are zero. Furthermore, when
the constants are equal, the spacetime is either LLM, or it corresponds to the
Kowalski-Glikman solution where the constants are simply the mass parameter.
|
[
{
"created": "Wed, 29 Aug 2012 18:20:53 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Dec 2012 13:41:13 GMT",
"version": "v2"
},
{
"created": "Fri, 8 Feb 2013 14:03:07 GMT",
"version": "v3"
}
] |
2013-02-11
|
[
[
"Colgáin",
"Eoin Ó",
""
]
] |
The Lin, Lunin, Maldacena (LLM) ansatz in D = 11 supports two independent Killing directions when a general Killing spinor ansatz is considered. Here we show that these directions always commute, identify when the Killing spinors are charged, and show that both their inner product and resulting geometry are governed by two fundamental constants. In particular, setting one constant to zero leads to AdS7 x S4, setting the other to zero gives AdS4 x S7, while flat spacetime is recovered when both these constants are zero. Furthermore, when the constants are equal, the spacetime is either LLM, or it corresponds to the Kowalski-Glikman solution where the constants are simply the mass parameter.
| 11.95698
| 10.761889
| 13.972648
| 11.247928
| 10.739203
| 10.797314
| 11.249091
| 10.816299
| 11.47264
| 15.488707
| 10.472455
| 10.955452
| 11.576208
| 11.642549
| 10.861585
| 11.298432
| 11.341186
| 11.239326
| 11.24784
| 11.668624
| 11.083294
|
1206.4309
|
Yi Wang
|
Yi Wang, Robert Brandenberger
|
Scale-Invariant Fluctuations from Galilean Genesis
|
11 pages, 3 figures
| null |
10.1088/1475-7516/2012/10/021
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the spectrum of cosmological fluctuations in scenarios such as
Galilean Genesis in which a spectator scalar field acquires a scale-invariant
spectrum of perturbations during an early phase which asymptotes in the far
past to Minkowski space-time. In the case of minimal coupling to gravity and
standard scalar field Lagrangian, the induced curvature fluctuations depend
quadratically on the spectator field and are hence non-scale-invariant and
highly non-Gaussian. We show that if higher dimensional operators (the same
operators that lead to the {\eta}-problem for inflation) are considered, a
linear coupling between background and spectator field fluctuations is induced
which leads to scale-invariant and Gaussian curvature fluctuations.
|
[
{
"created": "Tue, 19 Jun 2012 20:00:00 GMT",
"version": "v1"
}
] |
2015-06-05
|
[
[
"Wang",
"Yi",
""
],
[
"Brandenberger",
"Robert",
""
]
] |
We study the spectrum of cosmological fluctuations in scenarios such as Galilean Genesis in which a spectator scalar field acquires a scale-invariant spectrum of perturbations during an early phase which asymptotes in the far past to Minkowski space-time. In the case of minimal coupling to gravity and standard scalar field Lagrangian, the induced curvature fluctuations depend quadratically on the spectator field and are hence non-scale-invariant and highly non-Gaussian. We show that if higher dimensional operators (the same operators that lead to the {\eta}-problem for inflation) are considered, a linear coupling between background and spectator field fluctuations is induced which leads to scale-invariant and Gaussian curvature fluctuations.
| 8.886783
| 9.581766
| 9.723885
| 8.295887
| 8.927183
| 8.275393
| 8.1172
| 8.192074
| 8.255527
| 10.212931
| 7.724164
| 8.455956
| 8.321247
| 8.186365
| 8.412866
| 8.398663
| 8.168934
| 8.342305
| 8.622118
| 8.949541
| 8.328491
|
hep-th/9810182
|
Yoichiro Nambu
|
Yoichiro Nambu
|
The Aharonov-Bohm Problem Revisited
|
30 pages, LaTeX, 4 figures
|
Nucl.Phys. B579 (2000) 590-616
|
10.1016/S0550-3213(00)00258-3
|
EFI-98-32
|
hep-th
| null |
The properties of a nonrelativistic charged particle in two dimensions in the
presence of an arbitrary number of nonquantized magnetic fluxes are
investigated in free space as well as in a uniform magnetic field. The fluxes
are represented mathematically as branch points in one of the complex
coordinates. It is found that in order to construct solutions, the fluxes have
to be treated in general as dynamical objects dual to the charges. A medium
made up of fluxes acts like an anti-magnetic field and tends to expel the
charges.
|
[
{
"created": "Thu, 22 Oct 1998 17:16:18 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Jun 1999 16:16:23 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Nambu",
"Yoichiro",
""
]
] |
The properties of a nonrelativistic charged particle in two dimensions in the presence of an arbitrary number of nonquantized magnetic fluxes are investigated in free space as well as in a uniform magnetic field. The fluxes are represented mathematically as branch points in one of the complex coordinates. It is found that in order to construct solutions, the fluxes have to be treated in general as dynamical objects dual to the charges. A medium made up of fluxes acts like an anti-magnetic field and tends to expel the charges.
| 9.548525
| 9.723978
| 9.632175
| 9.877617
| 9.771791
| 10.019771
| 9.559097
| 8.825665
| 8.820864
| 10.355196
| 9.021836
| 9.229754
| 9.806651
| 9.430307
| 9.059345
| 9.1713
| 9.37762
| 9.206278
| 9.388954
| 9.893733
| 9.459476
|
hep-th/0006237
|
Manoelito M. de Souza
|
Manoelito M de Souza
|
Conformally symmetric massive discrete fields
|
A new reference, a new figure and a new section are added to clarify
the meaning of conformal (and chiral) symmetry of massive discrete-fields
| null | null | null |
hep-th gr-qc hep-ph math-ph math.MP quant-ph
| null |
Conformal symmetry is taken as an attribute of theories of massless fields in
manifolds with specific dimensionalities. This paper shows that this is not an
absolute truth; it is a consequence of the mathematical representation used for
the physical interactions. It introduces a new kind of representation where the
propagation of massive (invariant mass) and massless interactions are unifiedly
described by a single conformally symmetric Green's function. Sources and
fields are treated at a same footing, symmetrically, as discrete fields - the
fields in this new representation - fields defined with support on straight
lines embedded in a (3+1)-Minkowski manifold. The discrete field turns out to
be a point in phase space. It is finite everywhere. With a finite number of
degrees of freedom it does not share the well known problems faced by the
standard continuous formalism which can be retrieved from the discrete one by
an integration over a hypersurface. The passage from discrete to continuous
fields illuminates the physical meaning and origins of their properties and
problems. The price for having massive discrete field with conformal symmetry
is of hiding its mass and time-like velocity behind its non-constant
proper-time.
|
[
{
"created": "Thu, 29 Jun 2000 20:32:17 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Nov 2000 19:07:29 GMT",
"version": "v2"
},
{
"created": "Fri, 23 Mar 2001 22:39:27 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"de Souza",
"Manoelito M",
""
]
] |
Conformal symmetry is taken as an attribute of theories of massless fields in manifolds with specific dimensionalities. This paper shows that this is not an absolute truth; it is a consequence of the mathematical representation used for the physical interactions. It introduces a new kind of representation where the propagation of massive (invariant mass) and massless interactions are unifiedly described by a single conformally symmetric Green's function. Sources and fields are treated at a same footing, symmetrically, as discrete fields - the fields in this new representation - fields defined with support on straight lines embedded in a (3+1)-Minkowski manifold. The discrete field turns out to be a point in phase space. It is finite everywhere. With a finite number of degrees of freedom it does not share the well known problems faced by the standard continuous formalism which can be retrieved from the discrete one by an integration over a hypersurface. The passage from discrete to continuous fields illuminates the physical meaning and origins of their properties and problems. The price for having massive discrete field with conformal symmetry is of hiding its mass and time-like velocity behind its non-constant proper-time.
| 18.578709
| 18.968565
| 20.235546
| 19.00057
| 19.94739
| 22.021469
| 20.776485
| 18.446344
| 19.365263
| 22.283995
| 18.768433
| 17.846575
| 18.212812
| 18.297031
| 18.724966
| 18.18539
| 17.770288
| 17.414686
| 18.045588
| 18.424206
| 18.264782
|
hep-th/0604084
|
Jean Thierry-Mieg
|
Jean Thierry-Mieg
|
Chiral-Yang-Mills theory, non commutative differential geometry, and the
need for a Lie super-algebra
|
17 pages, no figure
|
JHEP0606:038,2006
|
10.1088/1126-6708/2006/06/038
| null |
hep-th
| null |
In Yang-Mills theory, the charges of the left and right massless Fermions are
independent of each other. We propose a new paradigm where we remove this
freedom and densify the algebraic structure of Yang-Mills theory by integrating
the scalar Higgs field into a new gauge-chiral 1-form which connects Fermions
of opposite chiralities. Using the Bianchi identity, we prove that the
corresponding covariant differential is associative if and only if we gauge a
Lie-Kac super-algebra. In this model, spontaneous symmetry breakdown naturally
occurs along an odd generator of the super-algebra and induces a representation
of the Connes-Lott non commutative differential geometry of the 2-point finite
space.
|
[
{
"created": "Tue, 11 Apr 2006 16:35:07 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Apr 2006 21:33:04 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Thierry-Mieg",
"Jean",
""
]
] |
In Yang-Mills theory, the charges of the left and right massless Fermions are independent of each other. We propose a new paradigm where we remove this freedom and densify the algebraic structure of Yang-Mills theory by integrating the scalar Higgs field into a new gauge-chiral 1-form which connects Fermions of opposite chiralities. Using the Bianchi identity, we prove that the corresponding covariant differential is associative if and only if we gauge a Lie-Kac super-algebra. In this model, spontaneous symmetry breakdown naturally occurs along an odd generator of the super-algebra and induces a representation of the Connes-Lott non commutative differential geometry of the 2-point finite space.
| 13.110109
| 13.404403
| 14.642234
| 13.012431
| 13.283667
| 13.563128
| 12.797089
| 13.089374
| 13.75794
| 14.841985
| 13.662649
| 12.956133
| 13.122464
| 12.59482
| 12.628891
| 12.575695
| 12.919034
| 12.755257
| 12.875908
| 12.64067
| 13.094234
|
1708.05730
|
Patricio Gaete
|
Patricio Gaete and Jos\'e A. Helay\"el-Neto
|
Remarks on a $B \wedge F$ model with topological mass from gauging spin
|
5 pages
| null |
10.1209/0295-5075/120/11001
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Aspects of screening and confinement are reassessed for a $B \wedge F$ model
with topological mass with the gauging of spin. Our discussion is carried out
using the gauge-invariant, but path-dependent, variables formalism. We
explicitly show that the static potential profile is the sum of a Yukawa and a
linear potential, leading to the confinement of static external charges.
Interestingly enough, similar results are obtained in a theory of antisymmetric
tensor fields that results from the condensation of topological defects as a
consequence of the Julia-Toulouse mechanism.
|
[
{
"created": "Fri, 18 Aug 2017 18:17:59 GMT",
"version": "v1"
}
] |
2018-01-17
|
[
[
"Gaete",
"Patricio",
""
],
[
"Helayël-Neto",
"José A.",
""
]
] |
Aspects of screening and confinement are reassessed for a $B \wedge F$ model with topological mass with the gauging of spin. Our discussion is carried out using the gauge-invariant, but path-dependent, variables formalism. We explicitly show that the static potential profile is the sum of a Yukawa and a linear potential, leading to the confinement of static external charges. Interestingly enough, similar results are obtained in a theory of antisymmetric tensor fields that results from the condensation of topological defects as a consequence of the Julia-Toulouse mechanism.
| 15.241445
| 7.726597
| 15.144058
| 9.501751
| 8.676027
| 8.579629
| 8.295018
| 8.415743
| 9.36535
| 13.452538
| 9.115911
| 10.611448
| 13.620936
| 11.750078
| 11.021351
| 10.6888
| 10.662228
| 11.217429
| 11.287254
| 13.094286
| 11.413342
|
1108.2569
|
Frederik Scholtz
|
Debabrata Sinha, Biswajit Chakraborty and Frederik G Scholtz
|
Non-commutative Quantum Mechanics in Three Dimensions and Rotational
Symmetry
|
21 pages
| null |
10.1088/1751-8113/45/10/105308
| null |
hep-th math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We generalize the formulation of non-commutative quantum mechanics to three
dimensional non-commutative space. Particular attention is paid to the
identification of the quantum Hilbert space in which the physical states of the
system are to be represented, the construction of the representation of the
rotation group on this space, the deformation of the Leibnitz rule accompanying
this representation and the implied necessity of deforming the co-product to
restore the rotation symmetry automorphism. This also implies the breaking of
rotational invariance on the level of the Schroedinger action and equation as
well as the Hamiltonian, even for rotational invariant potentials. For
rotational invariant potentials the symmetry breaking results purely from the
deformation in the sense that the commutator of the Hamiltonian and angular
momentum is proportional to the deformation.
|
[
{
"created": "Fri, 12 Aug 2011 05:54:02 GMT",
"version": "v1"
}
] |
2015-05-30
|
[
[
"Sinha",
"Debabrata",
""
],
[
"Chakraborty",
"Biswajit",
""
],
[
"Scholtz",
"Frederik G",
""
]
] |
We generalize the formulation of non-commutative quantum mechanics to three dimensional non-commutative space. Particular attention is paid to the identification of the quantum Hilbert space in which the physical states of the system are to be represented, the construction of the representation of the rotation group on this space, the deformation of the Leibnitz rule accompanying this representation and the implied necessity of deforming the co-product to restore the rotation symmetry automorphism. This also implies the breaking of rotational invariance on the level of the Schroedinger action and equation as well as the Hamiltonian, even for rotational invariant potentials. For rotational invariant potentials the symmetry breaking results purely from the deformation in the sense that the commutator of the Hamiltonian and angular momentum is proportional to the deformation.
| 10.234382
| 9.254272
| 10.070085
| 9.424394
| 9.846938
| 9.357142
| 8.861176
| 9.291883
| 8.88612
| 10.49943
| 9.153989
| 9.177398
| 10.015516
| 9.462161
| 9.834537
| 9.064943
| 9.017675
| 9.07211
| 9.461449
| 9.719945
| 9.156261
|
2112.08683
|
Yuan Zhong
|
Yuan Zhong
|
Normal modes for two-dimensional gravitating kinks
|
7 pages, no figures, a Mathematica file 2dNormalModes.nb is attached
|
Physics Letters B 827 (2022) 136947
|
10.1016/j.physletb.2022.136947
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We study small perturbations around an arbitrary static kink solution of a
two-dimensional (2D) gravity-scalar system, where the gravity part is described
by a subclass of 2D dilaton gravity theory, and the scalar matter field has
generalized dynamics. We expand the action around an arbitrary static solution
and keep terms up to the second order of the perturbations. After variation the
linear-order action leads to background field equations, as expected. The
quadratic action of the normal modes are obtained after fixing the gauge and
using the constraint equation. The linear perturbation equations obtained from
the quadratic action are consistent with those obtained by linearizing the
field equations under the dilaton gauge. All the calculations are assisted by a
Mathematica code, which is also provided as a supplementary material.
|
[
{
"created": "Thu, 16 Dec 2021 08:04:16 GMT",
"version": "v1"
}
] |
2022-02-09
|
[
[
"Zhong",
"Yuan",
""
]
] |
We study small perturbations around an arbitrary static kink solution of a two-dimensional (2D) gravity-scalar system, where the gravity part is described by a subclass of 2D dilaton gravity theory, and the scalar matter field has generalized dynamics. We expand the action around an arbitrary static solution and keep terms up to the second order of the perturbations. After variation the linear-order action leads to background field equations, as expected. The quadratic action of the normal modes are obtained after fixing the gauge and using the constraint equation. The linear perturbation equations obtained from the quadratic action are consistent with those obtained by linearizing the field equations under the dilaton gauge. All the calculations are assisted by a Mathematica code, which is also provided as a supplementary material.
| 9.699121
| 9.219826
| 9.161583
| 8.439854
| 9.067719
| 8.24307
| 9.220708
| 9.053845
| 8.381807
| 10.383649
| 9.023193
| 9.594328
| 9.058826
| 8.972194
| 9.04666
| 8.793886
| 9.101944
| 8.99342
| 9.182398
| 9.330801
| 9.163897
|
2011.13725
|
Thibaut Coudarchet
|
Thibaut Coudarchet and Herv\'e Partouche
|
One-loop masses of Neumann-Dirichlet open strings and boundary-changing
vertex operators
|
1+74 pages, 5 figures
| null |
10.1007/JHEP12(2021)022
|
CPHT-RR090.112020
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive the masses acquired at one loop by massless scalars in the
Neumann-Dirichlet sector of open strings, when supersymmetry is spontaneously
broken. It is done by computing two-point functions of "boundary-changing
vertex operators" inserted on the boundaries of the annulus and M\"obius strip.
This requires the evaluation of correlators of "excited boundary-changing
fields," which are analogous to excited twist fields for closed strings. We
work in the type IIB orientifold theory compactified on $T^2\times
T^4/\mathbb{Z}_2$, where $\mathcal{N}=2$ supersymmetry is broken to
$\mathcal{N}=0$ by the Scherk-Schwarz mechanism implemented along $T^2$. Even
though the full expression of the squared masses is complicated, it reduces to
a very simple form when the lowest scale of the background is the supersymmetry
breaking scale $M_{3/2}$. We apply our results to analyze in this regime the
stability at the quantum level of the moduli fields arising in the
Neumann-Dirichlet sector. This completes the study of Ref. [32], where the
quantum masses of all other types of moduli arising in the open- or
closed-string sectors are derived. Ultimately, we identify all brane
configurations that produce backgrounds without tachyons at one loop and yield
an effective potential exponentially suppressed, or strictly positive with
runaway behavior of $M_{3/2}$.
|
[
{
"created": "Fri, 27 Nov 2020 13:16:57 GMT",
"version": "v1"
}
] |
2022-01-05
|
[
[
"Coudarchet",
"Thibaut",
""
],
[
"Partouche",
"Hervé",
""
]
] |
We derive the masses acquired at one loop by massless scalars in the Neumann-Dirichlet sector of open strings, when supersymmetry is spontaneously broken. It is done by computing two-point functions of "boundary-changing vertex operators" inserted on the boundaries of the annulus and M\"obius strip. This requires the evaluation of correlators of "excited boundary-changing fields," which are analogous to excited twist fields for closed strings. We work in the type IIB orientifold theory compactified on $T^2\times T^4/\mathbb{Z}_2$, where $\mathcal{N}=2$ supersymmetry is broken to $\mathcal{N}=0$ by the Scherk-Schwarz mechanism implemented along $T^2$. Even though the full expression of the squared masses is complicated, it reduces to a very simple form when the lowest scale of the background is the supersymmetry breaking scale $M_{3/2}$. We apply our results to analyze in this regime the stability at the quantum level of the moduli fields arising in the Neumann-Dirichlet sector. This completes the study of Ref. [32], where the quantum masses of all other types of moduli arising in the open- or closed-string sectors are derived. Ultimately, we identify all brane configurations that produce backgrounds without tachyons at one loop and yield an effective potential exponentially suppressed, or strictly positive with runaway behavior of $M_{3/2}$.
| 8.771751
| 8.591932
| 9.85183
| 8.228762
| 8.562016
| 8.427199
| 8.192521
| 8.160821
| 8.521249
| 10.576658
| 8.343433
| 8.338692
| 8.911209
| 8.422469
| 8.14375
| 8.553017
| 8.323903
| 8.392054
| 8.587337
| 8.638882
| 8.588327
|
hep-th/0205160
|
Zarembo
|
K. Zarembo
|
Supersymmetric Wilson loops
|
16 pages; v2: misprints corrected; v3: comments on superconformal
invariance and a reference added, version to be published in Nucl. Phys. B;
v4: discussion of N=2 supersymmetric Wilson loops corrected
|
Nucl.Phys. B643 (2002) 157-171
|
10.1016/S0550-3213(02)00693-4
| null |
hep-th
| null |
I construct 1/16, 1/8 and 1/4 BPS Wilson loops in N=4 supersymmetric
Yang-Mills theory and argue that expectation values of 1/4 BPS loops do not
receive quantum corrections. At strong coupling, non-renormalization of
supersymmetric Wilson loops implies subtle cancellations in the partition
function of the AdS string with special boundary conditions. The cancellations
are shown to occur in the semiclassical approximation.
|
[
{
"created": "Wed, 15 May 2002 19:54:18 GMT",
"version": "v1"
},
{
"created": "Mon, 27 May 2002 15:25:53 GMT",
"version": "v2"
},
{
"created": "Tue, 6 Aug 2002 14:55:01 GMT",
"version": "v3"
},
{
"created": "Tue, 27 Aug 2002 12:58:36 GMT",
"version": "v4"
}
] |
2009-11-07
|
[
[
"Zarembo",
"K.",
""
]
] |
I construct 1/16, 1/8 and 1/4 BPS Wilson loops in N=4 supersymmetric Yang-Mills theory and argue that expectation values of 1/4 BPS loops do not receive quantum corrections. At strong coupling, non-renormalization of supersymmetric Wilson loops implies subtle cancellations in the partition function of the AdS string with special boundary conditions. The cancellations are shown to occur in the semiclassical approximation.
| 7.759377
| 6.284036
| 7.55253
| 5.595199
| 6.08479
| 5.822676
| 6.173971
| 5.859671
| 5.744777
| 7.787769
| 5.796988
| 5.652029
| 6.672262
| 5.857291
| 5.972867
| 5.933929
| 5.815783
| 5.9493
| 5.981025
| 6.390387
| 5.800883
|
hep-th/9312050
|
Niels Obers
|
M.B. Halpern and N.A. Obers
|
Flat Connections and Non-Local Conserved Quantities in Irrational
Conformal Field Theory
|
40 pages, Latex, UCB-PTH-93/33, LBL-34901, CPTH-A277.1293
|
J.Math.Phys. 36 (1995) 1080-1110
|
10.1063/1.531107
| null |
hep-th
| null |
Irrational conformal field theory (ICFT) includes rational conformal field
theory as a small subspace, and the affine-Virasoro Ward identities describe
the biconformal correlators of ICFT. We reformulate the Ward identities as an
equivalent linear partial differential system with flat connections and new
non-local conserved quantities. As examples of the formulation, we solve the
system of flat connections for the coset correlators, the correlators of the
affine-Sugawara nests and the high-level $n$-point correlators of ICFT.
|
[
{
"created": "Tue, 7 Dec 1993 11:19:32 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Halpern",
"M. B.",
""
],
[
"Obers",
"N. A.",
""
]
] |
Irrational conformal field theory (ICFT) includes rational conformal field theory as a small subspace, and the affine-Virasoro Ward identities describe the biconformal correlators of ICFT. We reformulate the Ward identities as an equivalent linear partial differential system with flat connections and new non-local conserved quantities. As examples of the formulation, we solve the system of flat connections for the coset correlators, the correlators of the affine-Sugawara nests and the high-level $n$-point correlators of ICFT.
| 12.831252
| 11.006937
| 14.21734
| 10.846384
| 12.193453
| 11.295968
| 10.974758
| 11.21968
| 10.80535
| 16.796375
| 11.608171
| 11.616954
| 12.90628
| 11.509909
| 11.511201
| 11.652793
| 11.699477
| 10.854911
| 11.755595
| 13.288403
| 12.116526
|
2204.01982
|
Yermek Aldabergenov
|
Yermek Aldabergenov
|
Gauging the R-symmetry of old-minimal $R+R^2$ supergravity
|
8 pages, 1 figure (revtex 4-2). V2: corrections to numerical values
of the fermion masses
|
Phys.Rev.D 105 (2022) 12, 124008
|
10.1103/PhysRevD.105.124008
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Old-minimal $R+R^2$ supergravity has a $U(1)$ R-symmetry which rotates the
chiral curvature superfield. We gauge this R-symmetry and study new
interactions involving the gauge multiplet in the context of inflation and
supersymmetry breaking. We construct models where supersymmetry and the
R-symmetry are spontaneously broken during and after Starobinsky inflation, and
one-loop gauge anomalies are cancelled by the Green--Schwarz mechanism which
can also generate Standard Model gaugino masses. The hierarchy between the
auxiliary fields, $\langle F\rangle\gtrsim\langle D\rangle$, leads to split
mass spectrum where the chiral multiplet masses are around the inflationary
scale ($10^{13}$ GeV), while the gauge multiplet masses can be arbitrarily
small.
|
[
{
"created": "Tue, 5 Apr 2022 04:37:31 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Apr 2022 11:45:12 GMT",
"version": "v2"
}
] |
2022-06-08
|
[
[
"Aldabergenov",
"Yermek",
""
]
] |
Old-minimal $R+R^2$ supergravity has a $U(1)$ R-symmetry which rotates the chiral curvature superfield. We gauge this R-symmetry and study new interactions involving the gauge multiplet in the context of inflation and supersymmetry breaking. We construct models where supersymmetry and the R-symmetry are spontaneously broken during and after Starobinsky inflation, and one-loop gauge anomalies are cancelled by the Green--Schwarz mechanism which can also generate Standard Model gaugino masses. The hierarchy between the auxiliary fields, $\langle F\rangle\gtrsim\langle D\rangle$, leads to split mass spectrum where the chiral multiplet masses are around the inflationary scale ($10^{13}$ GeV), while the gauge multiplet masses can be arbitrarily small.
| 8.332633
| 7.547297
| 8.105564
| 7.043979
| 6.975847
| 7.115483
| 7.10422
| 6.980875
| 6.973217
| 8.432861
| 6.80418
| 7.094691
| 7.228583
| 6.949824
| 6.947927
| 6.953696
| 7.026483
| 7.234166
| 6.884148
| 7.205056
| 6.872314
|
2208.13309
|
Carlos Henrique de Lima
|
Carlos Henrique de Lima, Alberto Tonero, Andres Vasquez and Rogerio
Rosenfeld
|
P-wave Sommerfeld enhancement near threshold: a simplified approach
|
references added. Title change, discussions improved, conclusions
unchanged. Version accepted at Euro Phys C
| null | null | null |
hep-th hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
The calculation of P-wave Sommerfeld enhancement in processes with unstable
particles in the final state is known to be divergent. In a complete
description, where resonant (on-shell unstable particles) and non-resonant
contributions are included, it has been shown that results are finite. For most
beyond the Standard Model applications, these complete calculations are not
readily available. In this work, we are interested in the near-threshold region
and we consider only the resonant contribution. In this case, we provide a
simplified prescription to compute the P-wave Sommerfeld enhancement in the
narrow-width approximation of the unstable particle that directly eliminates
divergences. We show that we can define a finite resonant contribution without
the inclusion of the non-resonant processes in a way similar to the usual
S-wave Sommerfeld enhancement.
|
[
{
"created": "Sun, 28 Aug 2022 23:07:12 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Sep 2022 16:55:27 GMT",
"version": "v2"
},
{
"created": "Mon, 24 Apr 2023 14:44:18 GMT",
"version": "v3"
},
{
"created": "Wed, 4 Oct 2023 16:59:56 GMT",
"version": "v4"
}
] |
2023-10-05
|
[
[
"de Lima",
"Carlos Henrique",
""
],
[
"Tonero",
"Alberto",
""
],
[
"Vasquez",
"Andres",
""
],
[
"Rosenfeld",
"Rogerio",
""
]
] |
The calculation of P-wave Sommerfeld enhancement in processes with unstable particles in the final state is known to be divergent. In a complete description, where resonant (on-shell unstable particles) and non-resonant contributions are included, it has been shown that results are finite. For most beyond the Standard Model applications, these complete calculations are not readily available. In this work, we are interested in the near-threshold region and we consider only the resonant contribution. In this case, we provide a simplified prescription to compute the P-wave Sommerfeld enhancement in the narrow-width approximation of the unstable particle that directly eliminates divergences. We show that we can define a finite resonant contribution without the inclusion of the non-resonant processes in a way similar to the usual S-wave Sommerfeld enhancement.
| 9.658395
| 9.838765
| 8.670597
| 8.524094
| 9.606379
| 10.575804
| 9.24168
| 9.748752
| 8.506015
| 9.088395
| 9.482116
| 9.148733
| 8.527342
| 8.499598
| 8.45342
| 8.851003
| 8.558282
| 8.861233
| 8.517692
| 8.526072
| 8.911643
|
hep-th/0608151
|
Christopher Herzog
|
Christopher P. Herzog
|
A Holographic Prediction of the Deconfinement Temperature
|
4 pages, 1 figure; v2 ref added, minor changes; v3 refs added,
discussion modified, to appear in PRL
|
Phys.Rev.Lett.98:091601,2007
|
10.1103/PhysRevLett.98.091601
| null |
hep-th hep-ph
| null |
We argue that deconfinement in AdS/QCD models occurs via a first order
Hawking-Page type phase transition between a low temperature thermal AdS space
and a high temperature black hole. Such a result is consistent with the
expected temperature independence, to leading order in 1/N_c, of the meson
spectrum and spatial Wilson loops below the deconfinement temperature. As a
byproduct, we obtain model dependent deconfinement temperatures T_c in the hard
and soft wall models of AdS/QCD. Our result for T_c in the soft wall model is
close to a recent lattice prediction.
|
[
{
"created": "Tue, 22 Aug 2006 17:23:21 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Aug 2006 20:29:18 GMT",
"version": "v2"
},
{
"created": "Mon, 22 Jan 2007 21:20:08 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Herzog",
"Christopher P.",
""
]
] |
We argue that deconfinement in AdS/QCD models occurs via a first order Hawking-Page type phase transition between a low temperature thermal AdS space and a high temperature black hole. Such a result is consistent with the expected temperature independence, to leading order in 1/N_c, of the meson spectrum and spatial Wilson loops below the deconfinement temperature. As a byproduct, we obtain model dependent deconfinement temperatures T_c in the hard and soft wall models of AdS/QCD. Our result for T_c in the soft wall model is close to a recent lattice prediction.
| 6.28719
| 5.329062
| 5.74167
| 5.091604
| 5.563319
| 5.14994
| 5.24407
| 5.332905
| 5.338092
| 5.482166
| 5.06984
| 5.551423
| 5.419094
| 5.512917
| 5.351339
| 5.534741
| 5.390566
| 5.424941
| 5.652456
| 5.864752
| 5.442312
|
0801.0962
|
Gabor Takacs
|
G. Takacs
|
Form factors of boundary exponential operators in the sinh-Gordon model
|
22 pages, LaTeX2e file
| null |
10.1016/j.nuclphysb.2008.01.025
|
ITP-Budapest Report No. 637
|
hep-th cond-mat.other
| null |
Using the recently introduced boundary form factor bootstrap equations, the
form factors of boundary exponential operators in the sinh-Gordon model are
constructed. The ultraviolet scaling dimension and the normalization of these
operators are checked against previously known results. The construction
presented in this paper can be applied to determine form factors of relevant
primary boundary operators in general integrable boundary quantum field
theories.
|
[
{
"created": "Mon, 7 Jan 2008 12:53:08 GMT",
"version": "v1"
}
] |
2009-11-13
|
[
[
"Takacs",
"G.",
""
]
] |
Using the recently introduced boundary form factor bootstrap equations, the form factors of boundary exponential operators in the sinh-Gordon model are constructed. The ultraviolet scaling dimension and the normalization of these operators are checked against previously known results. The construction presented in this paper can be applied to determine form factors of relevant primary boundary operators in general integrable boundary quantum field theories.
| 10.523479
| 6.463636
| 12.6894
| 7.637575
| 7.170409
| 6.717443
| 6.512172
| 7.15423
| 6.864463
| 10.79694
| 8.182273
| 8.080609
| 10.306919
| 8.333983
| 8.271283
| 8.052567
| 8.192024
| 8.207417
| 8.060682
| 11.133991
| 7.968842
|
hep-th/9708036
|
Michael P. Mattis
|
N. Dorey (Swansea), V.V. Khoze (Durham), M.P. Mattis (Los Alamos)
|
Supersymmetry and the Multi-Instanton Measure
|
31 pp, uses harvmac. Reference added
|
Nucl.Phys. B513 (1998) 681-708
|
10.1016/S0550-3213(97)00747-5
| null |
hep-th
| null |
We propose explicit formulae for the integration measure on the moduli space
of charge-n ADHM multi-instantons in N=1 and N=2 supersymmetric gauge theories.
The form of this measure is fixed by its (super)symmetries as well as the
physical requirement of clustering in the limit of large spacetime separation
between instantons. We test our proposals against known expressions for n < 3.
Knowledge of the measure for all n allows us to revisit, and strengthen,
earlier N=2 results, chiefly: (1) For any number of flavors N_F, we provide a
closed formula for F_n, the n-instanton contribution to the Seiberg-Witten
prepotential, as a finite-dimensional collective coordinate integral. This
amounts to a solution, in quadratures, of the Seiberg-Witten models, without
appeal to electric-magnetic duality. (2) In the conformal case N_F=4, this
means reducing to quadratures the previously unknown finite renormalization
that relates the microscopic and effective coupling constants, \tau_{micro} and
\tau_{eff}. (3) Similar expressions are given for the 4-derivative/8-fermion
term in the gradient expansion of N=2 supersymmetric QCD.
|
[
{
"created": "Wed, 6 Aug 1997 20:44:11 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Aug 1997 20:32:37 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Dorey",
"N.",
"",
"Swansea"
],
[
"Khoze",
"V. V.",
"",
"Durham"
],
[
"Mattis",
"M. P.",
"",
"Los Alamos"
]
] |
We propose explicit formulae for the integration measure on the moduli space of charge-n ADHM multi-instantons in N=1 and N=2 supersymmetric gauge theories. The form of this measure is fixed by its (super)symmetries as well as the physical requirement of clustering in the limit of large spacetime separation between instantons. We test our proposals against known expressions for n < 3. Knowledge of the measure for all n allows us to revisit, and strengthen, earlier N=2 results, chiefly: (1) For any number of flavors N_F, we provide a closed formula for F_n, the n-instanton contribution to the Seiberg-Witten prepotential, as a finite-dimensional collective coordinate integral. This amounts to a solution, in quadratures, of the Seiberg-Witten models, without appeal to electric-magnetic duality. (2) In the conformal case N_F=4, this means reducing to quadratures the previously unknown finite renormalization that relates the microscopic and effective coupling constants, \tau_{micro} and \tau_{eff}. (3) Similar expressions are given for the 4-derivative/8-fermion term in the gradient expansion of N=2 supersymmetric QCD.
| 8.943018
| 8.793153
| 9.791521
| 8.688298
| 9.700822
| 8.977455
| 8.880157
| 8.791993
| 8.914754
| 10.298264
| 8.906101
| 8.439729
| 9.244633
| 8.573402
| 8.635791
| 8.347919
| 8.461802
| 8.397628
| 8.394255
| 8.900977
| 8.469779
|
hep-th/9409093
|
Montpetit Andre
|
Alexei Morozov and Luc Vinet
|
Free-Field Representation of Group Element for Simple Quantum Group
|
68 pages
|
Int.J.Mod.Phys. A13 (1998) 1651-1708
|
10.1142/S0217751X9800072X
|
ITEP-M3/94 and CRM-2202
|
hep-th
| null |
A representation of the group element (also known as ``universal ${\cal
T}$-matrix'') which satisfies $\Delta(g) = g\otimes g$, is given in the form $$
g = \left(\prod_{s=1}^{d_B}\phantom.^>\ {\cal
E}_{1/q_{i(s)}}(\chi^{(s)}T_{-i(s)})\right) q^{2\vec\phi\vec H}
\left(\prod_{s=1}^{d_B}\phantom.^<\ {\cal E}_{q_{i(s)}}(\psi^{(s)}
T_{+i(s)})\right)$$ where $d_B = \frac{1}{2}(d_G - r_G)$, $q_i = q^{||
\vec\alpha_i||^2/2}$ and $H_i = 2\vec H\vec\alpha_i/||\vec\alpha_i||^2$ and
$T_{\pm i}$ are the generators of quantum group associated respectively with
Cartan algebra and the {\it simple} roots. The ``free fields'' $\chi,\
\vec\phi,\ \psi$ form a Heisenberg-like algebra: $\psi^{(s)}\psi^{(s')} =
q^{-\vec\alpha_{i(s)} \vec\alpha_{i(s')}} \psi^{(s')}\psi^{(s)}, &
\chi^{(s)}\chi^{(s')} = q^{-\vec\alpha_{i(s)}\vec\alpha_{i(s')}}
\chi^{(s')}\chi^{(s)}& {\rm for} \ s<s', \\ q^{\vec h\vec\phi}\psi^{(s)} =
q^{\vec h\vec\alpha_{i(s)}} \psi^{(s)}q^{\vec h\vec\phi}, & q^{\vec
h\vec\phi}\chi^{(s)} = q^{\vec h \vec\alpha_{i(s)}}\chi^{(s)}q^{\vec
h\vec\phi}, & \\ &\psi^{(s)} \chi^{(s')} = \chi^{(s')}\psi^{(s)} & {\rm for\
any}\ s,s'.$ We argue that the $d_G$-parametric ``manifold'' which $g$ spans in
the operator-valued universal envelopping algebra, can also be invariant under
the group multiplication $g \rightarrow g'\cdot g''$. The universal ${\cal
R}$-matrix with the property that ${\cal R} (g\otimes I)(I\otimes g) =
(I\otimes g)(g\otimes I){\cal R}$ is given by the usual formula $${\cal R} =
q^{-\sum_{ij}^{r_G}||\vec\alpha_i||^2|| \vec\alpha_j||^2
(\vec\alpha\vec\alpha)^{-1}_{ij}H_i \otimes H_j}\prod_{ \vec\alpha >
0}^{d_B}{\cal E}_{q_{\vec\alpha}}\left(-(q_{\vec\alpha}-
q_{\vec\alpha}^{-1})T_{\vec\alpha}\otimes T_{-\vec\alpha}\right).$$
|
[
{
"created": "Fri, 16 Sep 1994 13:02:30 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Morozov",
"Alexei",
""
],
[
"Vinet",
"Luc",
""
]
] |
A representation of the group element (also known as ``universal ${\cal T}$-matrix'') which satisfies $\Delta(g) = g\otimes g$, is given in the form $$ g = \left(\prod_{s=1}^{d_B}\phantom.^>\ {\cal E}_{1/q_{i(s)}}(\chi^{(s)}T_{-i(s)})\right) q^{2\vec\phi\vec H} \left(\prod_{s=1}^{d_B}\phantom.^<\ {\cal E}_{q_{i(s)}}(\psi^{(s)} T_{+i(s)})\right)$$ where $d_B = \frac{1}{2}(d_G - r_G)$, $q_i = q^{|| \vec\alpha_i||^2/2}$ and $H_i = 2\vec H\vec\alpha_i/||\vec\alpha_i||^2$ and $T_{\pm i}$ are the generators of quantum group associated respectively with Cartan algebra and the {\it simple} roots. The ``free fields'' $\chi,\ \vec\phi,\ \psi$ form a Heisenberg-like algebra: $\psi^{(s)}\psi^{(s')} = q^{-\vec\alpha_{i(s)} \vec\alpha_{i(s')}} \psi^{(s')}\psi^{(s)}, & \chi^{(s)}\chi^{(s')} = q^{-\vec\alpha_{i(s)}\vec\alpha_{i(s')}} \chi^{(s')}\chi^{(s)}& {\rm for} \ s<s', \\ q^{\vec h\vec\phi}\psi^{(s)} = q^{\vec h\vec\alpha_{i(s)}} \psi^{(s)}q^{\vec h\vec\phi}, & q^{\vec h\vec\phi}\chi^{(s)} = q^{\vec h \vec\alpha_{i(s)}}\chi^{(s)}q^{\vec h\vec\phi}, & \\ &\psi^{(s)} \chi^{(s')} = \chi^{(s')}\psi^{(s)} & {\rm for\ any}\ s,s'.$ We argue that the $d_G$-parametric ``manifold'' which $g$ spans in the operator-valued universal envelopping algebra, can also be invariant under the group multiplication $g \rightarrow g'\cdot g''$. The universal ${\cal R}$-matrix with the property that ${\cal R} (g\otimes I)(I\otimes g) = (I\otimes g)(g\otimes I){\cal R}$ is given by the usual formula $${\cal R} = q^{-\sum_{ij}^{r_G}||\vec\alpha_i||^2|| \vec\alpha_j||^2 (\vec\alpha\vec\alpha)^{-1}_{ij}H_i \otimes H_j}\prod_{ \vec\alpha > 0}^{d_B}{\cal E}_{q_{\vec\alpha}}\left(-(q_{\vec\alpha}- q_{\vec\alpha}^{-1})T_{\vec\alpha}\otimes T_{-\vec\alpha}\right).$$
| 3.752758
| 4.268524
| 4.287592
| 4.012689
| 4.200712
| 4.218846
| 4.276495
| 3.970879
| 4.128149
| 4.573705
| 3.825011
| 3.752785
| 3.847309
| 3.749138
| 3.793183
| 3.720748
| 3.846562
| 3.84347
| 3.784154
| 3.933715
| 3.693439
|
2210.14137
|
V. Parameswaran Nair
|
V.P. Nair
|
Eductions of Edge Mode Effects
|
11 pages, To be published in "Particles, Fields and Topology:
Celebrating A.P. Balachandran", a Festschrift volume for A.P. Balachandran
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Edge modes in gauge theories, whose raison d'etre is in the nature of the
test functions used for imposing the Gauss law, have implications in many
physical contexts. I discuss two such cases: 1) how edge modes are related to
the interface term in the BFK formula and how they generate the so-called
contact term for entanglement entropy in gauge theories, 2) how they describe
the dynamics of particles in generalizing the Einstein-Infeld-Hoffmann approach
to particle dynamics in theories of gravity.
|
[
{
"created": "Tue, 25 Oct 2022 16:36:56 GMT",
"version": "v1"
}
] |
2022-10-26
|
[
[
"Nair",
"V. P.",
""
]
] |
Edge modes in gauge theories, whose raison d'etre is in the nature of the test functions used for imposing the Gauss law, have implications in many physical contexts. I discuss two such cases: 1) how edge modes are related to the interface term in the BFK formula and how they generate the so-called contact term for entanglement entropy in gauge theories, 2) how they describe the dynamics of particles in generalizing the Einstein-Infeld-Hoffmann approach to particle dynamics in theories of gravity.
| 15.118346
| 15.570543
| 14.573249
| 13.412299
| 14.770356
| 14.766214
| 15.343913
| 14.764758
| 15.093939
| 17.141541
| 14.050641
| 13.722338
| 13.456234
| 13.373084
| 13.432366
| 14.091687
| 13.32664
| 13.17825
| 13.654488
| 13.861109
| 14.96781
|
hep-th/9606060
| null |
HoSeong La
|
Effective Dilaton Potential in Linearized Gravity
|
Latex, 11 pages
| null | null |
MIT-CTP-2540
|
hep-th gr-qc
| null |
Considering the linearized gravity with matter fields, the effective
potential of the ``conformal dilaton'' in the string frame is generated
semiclassically by one-loop contribution of heavy matter fields. This in turn
generates a nontrivial potential for the physical dilaton in the Einstein frame
with the trace of the graviton in the Einstein frame gauged away. The remaining
manifest local spacetime symmetry is only the volume preserving diffeomorphism
symmetry. The consistency of this procedure is examined and the possibility of
spontaneous diffeomorphism symmetry breaking is suggested.
|
[
{
"created": "Wed, 12 Jun 1996 01:56:06 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"La",
"HoSeong",
""
]
] |
Considering the linearized gravity with matter fields, the effective potential of the ``conformal dilaton'' in the string frame is generated semiclassically by one-loop contribution of heavy matter fields. This in turn generates a nontrivial potential for the physical dilaton in the Einstein frame with the trace of the graviton in the Einstein frame gauged away. The remaining manifest local spacetime symmetry is only the volume preserving diffeomorphism symmetry. The consistency of this procedure is examined and the possibility of spontaneous diffeomorphism symmetry breaking is suggested.
| 13.641905
| 12.415548
| 12.280204
| 11.570784
| 13.845153
| 12.210104
| 13.122091
| 12.501782
| 11.700108
| 12.751086
| 11.277038
| 12.145943
| 12.57377
| 11.944662
| 12.295928
| 12.045694
| 12.130689
| 12.106208
| 12.363391
| 12.458799
| 11.799411
|
2209.00095
|
Sachin Chauhan
|
Sachin Chauhan, Pichai Ramadevi
|
$\hat Z$- invariant for $SO(3)$ and $OSp(1|2)$ Groups
|
18 pages, 2 figures; minor changes; matches the published version
|
Annales Henri Poincar\'e, 1-25(2023)
|
10.1007/s00023-023-01332-y
| null |
hep-th math-ph math.GT math.MP math.QA
|
http://creativecommons.org/licenses/by/4.0/
|
Three-manifold invariants $\hat Z$ (''$Z$-hat''), also known as homological
blocks, are $q$-series with integer coefficients. Explicit $q$-series form for
$\hat Z$ is known for $SU(2)$ group, supergroup $SU(2|1)$ and ortho-symplectic
supergroup $OSp(2|2)$. We focus on $\hat Z$ for $SO(3)$ group and
orthosymplectic supergroup $OSp(1|2)$ in this paper. Particularly, the change
of variable relating $SU(2)$ link invariants to the $SO(3)$ & $OSp(1|2)$ link
invariants plays a crucial role in explicitly writing the $q$-series.
|
[
{
"created": "Wed, 31 Aug 2022 20:03:27 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Jun 2023 05:49:50 GMT",
"version": "v2"
}
] |
2023-06-13
|
[
[
"Chauhan",
"Sachin",
""
],
[
"Ramadevi",
"Pichai",
""
]
] |
Three-manifold invariants $\hat Z$ (''$Z$-hat''), also known as homological blocks, are $q$-series with integer coefficients. Explicit $q$-series form for $\hat Z$ is known for $SU(2)$ group, supergroup $SU(2|1)$ and ortho-symplectic supergroup $OSp(2|2)$. We focus on $\hat Z$ for $SO(3)$ group and orthosymplectic supergroup $OSp(1|2)$ in this paper. Particularly, the change of variable relating $SU(2)$ link invariants to the $SO(3)$ & $OSp(1|2)$ link invariants plays a crucial role in explicitly writing the $q$-series.
| 6.131422
| 5.220747
| 6.986
| 5.446741
| 5.677092
| 5.668591
| 5.225109
| 5.502266
| 5.240651
| 6.942182
| 5.286683
| 5.045546
| 6.077028
| 5.431227
| 5.493846
| 5.240073
| 5.472915
| 5.404943
| 5.212944
| 6.102811
| 5.264583
|
hep-th/9501031
|
Troyan Sergei
|
G. S. Danilov
|
The calculation of Feynman diagrams in the superstring perturbation
theory
|
48 pages, LATEX
|
Phys.Rev.D51:4359,1995; Erratum-ibid.D52:6201,1995;
Phys.Rev.D52:6201,1995
|
10.1103/PhysRevD.51.4359 10.1103/PhysRevD.52.6201
|
Preprint PNPI-2023, 1994
|
hep-th
| null |
The method of the calculation of the multi-loop superstring amplitudes is
proposed. The amplitudes are calculated from the equations that are none other
than Ward identities. They are derived from the requirement that the discussed
amplitudes are independent from a choice of gauge of both the vierbein and the
gravitino field. The amplitudes are calculated in the terms of the superfields
vacuum correlators on the complex (1|1) supermanifolds. The superconformal
Schottky groups appropriate for this aim are built for all the spinor
structures. The calculation of the multi- loop boson emission amplitudes in the
closed, oriented Ramond-Neveu-Schwarz superstring theory is discussed in
details. The main problem arises for those spinor structures that correspond to
the Ramond fermion loops. Indeed, in this case the superfield vacuum
correlators can not be derived by a simple extension of the boson string
results. The method of the calculation of the above correlators is proposed.
The discussed amplitudes due to all the even spinor structures is given in the
explicit form.
|
[
{
"created": "Tue, 10 Jan 1995 15:15:08 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Danilov",
"G. S.",
""
]
] |
The method of the calculation of the multi-loop superstring amplitudes is proposed. The amplitudes are calculated from the equations that are none other than Ward identities. They are derived from the requirement that the discussed amplitudes are independent from a choice of gauge of both the vierbein and the gravitino field. The amplitudes are calculated in the terms of the superfields vacuum correlators on the complex (1|1) supermanifolds. The superconformal Schottky groups appropriate for this aim are built for all the spinor structures. The calculation of the multi- loop boson emission amplitudes in the closed, oriented Ramond-Neveu-Schwarz superstring theory is discussed in details. The main problem arises for those spinor structures that correspond to the Ramond fermion loops. Indeed, in this case the superfield vacuum correlators can not be derived by a simple extension of the boson string results. The method of the calculation of the above correlators is proposed. The discussed amplitudes due to all the even spinor structures is given in the explicit form.
| 8.85446
| 9.580017
| 10.242829
| 9.118407
| 9.958276
| 10.328708
| 9.974879
| 9.4809
| 9.313786
| 10.903646
| 9.34037
| 8.810369
| 9.112656
| 8.755531
| 8.838283
| 8.911041
| 8.907673
| 8.956974
| 8.891483
| 9.123462
| 8.749809
|
2007.15017
|
Yi Pang
|
Hai-Shan Liu, H. Lu and Yi Pang
|
Revisiting the AdS Boson Stars: the Mass-Charge Relations
|
Latex, 58 pages, 26 figures. Published version
|
Phys. Rev. D 102, 126008 (2020)
|
10.1103/PhysRevD.102.126008
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Motivated by the recent progress in solving the large charge sector of
conformal field theories, we revisit the mass-charge relation of boson stars
asymptotic to global AdS. We construct and classify a large number of
electrically charged boson star solutions in a toy model and two supergravity
models arising from the $SU(3)$ and $U(1)^4$ truncation of $D=4$ $SO(8)$ gauged
maximal supergravity. We find a simple ansatz for the chemical potential that
can fit the numerical data in striking accuracy for the full range of charge.
Combining with the first law of thermodynamics, we can then evaluate the mass
as a function of the charge and obtain the free energy in the fixed charge
ensemble. We show that in the toy model, the ground state can be either the
extremal RN black hole or the boson stars depending on the parameter region.
For the $SU(3)$ truncation, there always exists a boson star that has smaller
free energy than the extremal RN black hole, in contrast to the $U(1)^4$ model
where the extremal RN black hole is always the ground state. In all models, for
boson star solutions with arbitrarily large charge, we show that the large
charge expansion of the mass reproduces the same structure exhibited in the CFT
side.
|
[
{
"created": "Wed, 29 Jul 2020 18:00:03 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Aug 2020 11:52:01 GMT",
"version": "v2"
},
{
"created": "Tue, 8 Dec 2020 01:15:31 GMT",
"version": "v3"
}
] |
2020-12-09
|
[
[
"Liu",
"Hai-Shan",
""
],
[
"Lu",
"H.",
""
],
[
"Pang",
"Yi",
""
]
] |
Motivated by the recent progress in solving the large charge sector of conformal field theories, we revisit the mass-charge relation of boson stars asymptotic to global AdS. We construct and classify a large number of electrically charged boson star solutions in a toy model and two supergravity models arising from the $SU(3)$ and $U(1)^4$ truncation of $D=4$ $SO(8)$ gauged maximal supergravity. We find a simple ansatz for the chemical potential that can fit the numerical data in striking accuracy for the full range of charge. Combining with the first law of thermodynamics, we can then evaluate the mass as a function of the charge and obtain the free energy in the fixed charge ensemble. We show that in the toy model, the ground state can be either the extremal RN black hole or the boson stars depending on the parameter region. For the $SU(3)$ truncation, there always exists a boson star that has smaller free energy than the extremal RN black hole, in contrast to the $U(1)^4$ model where the extremal RN black hole is always the ground state. In all models, for boson star solutions with arbitrarily large charge, we show that the large charge expansion of the mass reproduces the same structure exhibited in the CFT side.
| 5.882543
| 5.933455
| 6.270079
| 5.725612
| 6.123674
| 6.017959
| 5.794985
| 5.593693
| 5.686611
| 6.979734
| 5.44382
| 5.641509
| 5.916368
| 5.60298
| 5.667686
| 5.605653
| 5.65706
| 5.619218
| 5.655387
| 6.012464
| 5.682505
|
2111.07998
|
Paul-Konstantin Oehlmann
|
Finn Bjarne Kohl, Magdalena Larfors, Paul-Konstantin Oehlmann
|
F-theory on 6D Symmetric Toroidal Orbifolds
|
39 pages plus appendix, 15 Figures, 2 Tables, V2 typos corrected
| null | null |
UUITP-56/21
|
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
In this work we study F-theory on symmetric toroidal orbifolds that exhibit
roto-translations, which are point group rotations accompanied by fractional
lattice shifts. These geometries admit a rich class of effects, such as twisted
affine folded fibers, multiple fibers, and up to three distinct
torus-fibrations that yield different M/F-theory lifts. We discuss the
six-dimensional physics of the F-theory lifts, which generically host
superconformal subsectors and a IIB axio-dilaton fixed to strong coupling. In
addition we find that these theories exhibit a rich set of p=0,1,2 discrete
p-form gauge symmetries. We discuss six-dimensional gauge and supergravity
anomalies and match the rank and tensor branch dimension to the Hodge numbers
that were computed using heterotic world sheet techniques.
|
[
{
"created": "Mon, 15 Nov 2021 18:58:52 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Nov 2021 14:46:22 GMT",
"version": "v2"
}
] |
2021-11-17
|
[
[
"Kohl",
"Finn Bjarne",
""
],
[
"Larfors",
"Magdalena",
""
],
[
"Oehlmann",
"Paul-Konstantin",
""
]
] |
In this work we study F-theory on symmetric toroidal orbifolds that exhibit roto-translations, which are point group rotations accompanied by fractional lattice shifts. These geometries admit a rich class of effects, such as twisted affine folded fibers, multiple fibers, and up to three distinct torus-fibrations that yield different M/F-theory lifts. We discuss the six-dimensional physics of the F-theory lifts, which generically host superconformal subsectors and a IIB axio-dilaton fixed to strong coupling. In addition we find that these theories exhibit a rich set of p=0,1,2 discrete p-form gauge symmetries. We discuss six-dimensional gauge and supergravity anomalies and match the rank and tensor branch dimension to the Hodge numbers that were computed using heterotic world sheet techniques.
| 18.064032
| 19.278992
| 22.492718
| 18.283482
| 21.09621
| 21.207048
| 19.807953
| 18.144684
| 16.636244
| 26.010403
| 16.244711
| 16.889307
| 18.430586
| 16.867596
| 16.629551
| 17.429232
| 16.883272
| 17.224804
| 16.911245
| 18.408579
| 16.290936
|
1508.06566
|
Guido Franchetti
|
Guido Franchetti, Bernd J. Schroers
|
Adiabatic dynamics of instantons on $S ^4 $
|
49 pages, 11 figures. Significant improvements in the discussion of
framing in v2
|
Commun. Math. Phys. 353, 185-228 (2017)
|
10.1007/s00220-016-2769-6
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We define and compute the $L^2$ metric on the framed moduli space of circle
invariant 1-instantons on the 4-sphere. This moduli space is four dimensional
and our metric is $SO(3) \times U(1)$ symmetric. We study the behaviour of
generic geodesics and show that the metric is geodesically incomplete.
Circle-invariant instantons on the 4-sphere can also be viewed as hyperbolic
monopoles, and we interpret our results from this viewpoint. We relate our
results to work by Habermann on unframed instantons on the 4-sphere and, in the
limit where the radius of the 4-sphere tends to infinity, to results on
instantons on Euclidean 4-space.
|
[
{
"created": "Wed, 26 Aug 2015 16:45:41 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Jun 2016 16:03:55 GMT",
"version": "v2"
}
] |
2017-04-25
|
[
[
"Franchetti",
"Guido",
""
],
[
"Schroers",
"Bernd J.",
""
]
] |
We define and compute the $L^2$ metric on the framed moduli space of circle invariant 1-instantons on the 4-sphere. This moduli space is four dimensional and our metric is $SO(3) \times U(1)$ symmetric. We study the behaviour of generic geodesics and show that the metric is geodesically incomplete. Circle-invariant instantons on the 4-sphere can also be viewed as hyperbolic monopoles, and we interpret our results from this viewpoint. We relate our results to work by Habermann on unframed instantons on the 4-sphere and, in the limit where the radius of the 4-sphere tends to infinity, to results on instantons on Euclidean 4-space.
| 5.36769
| 5.321334
| 6.011901
| 5.278975
| 5.1429
| 5.511447
| 5.996593
| 5.460495
| 5.588408
| 6.378284
| 5.327495
| 5.166593
| 5.317803
| 5.210613
| 5.256945
| 5.172538
| 5.306946
| 5.253843
| 5.252638
| 5.321377
| 5.223706
|
1801.07172
|
Shotaro Shiba
|
Satoshi Iso, Shotaro Shiba and Sumito Yokoo
|
Scale-invariant Feature Extraction of Neural Network and Renormalization
Group Flow
|
32 pages, 17 figures
|
Phys. Rev. E 97, 053304 (2018)
|
10.1103/PhysRevE.97.053304
|
KEK-TH-2029
|
hep-th cond-mat.stat-mech cs.LG stat.ML
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Theoretical understanding of how deep neural network (DNN) extracts features
from input images is still unclear, but it is widely believed that the
extraction is performed hierarchically through a process of coarse-graining. It
reminds us of the basic concept of renormalization group (RG) in statistical
physics. In order to explore possible relations between DNN and RG, we use the
Restricted Boltzmann machine (RBM) applied to Ising model and construct a flow
of model parameters (in particular, temperature) generated by the RBM. We show
that the unsupervised RBM trained by spin configurations at various
temperatures from $T=0$ to $T=6$ generates a flow along which the temperature
approaches the critical value $T_c=2.27$. This behavior is opposite to the
typical RG flow of the Ising model. By analyzing various properties of the
weight matrices of the trained RBM, we discuss why it flows towards $T_c$ and
how the RBM learns to extract features of spin configurations.
|
[
{
"created": "Mon, 22 Jan 2018 16:18:04 GMT",
"version": "v1"
}
] |
2018-05-16
|
[
[
"Iso",
"Satoshi",
""
],
[
"Shiba",
"Shotaro",
""
],
[
"Yokoo",
"Sumito",
""
]
] |
Theoretical understanding of how deep neural network (DNN) extracts features from input images is still unclear, but it is widely believed that the extraction is performed hierarchically through a process of coarse-graining. It reminds us of the basic concept of renormalization group (RG) in statistical physics. In order to explore possible relations between DNN and RG, we use the Restricted Boltzmann machine (RBM) applied to Ising model and construct a flow of model parameters (in particular, temperature) generated by the RBM. We show that the unsupervised RBM trained by spin configurations at various temperatures from $T=0$ to $T=6$ generates a flow along which the temperature approaches the critical value $T_c=2.27$. This behavior is opposite to the typical RG flow of the Ising model. By analyzing various properties of the weight matrices of the trained RBM, we discuss why it flows towards $T_c$ and how the RBM learns to extract features of spin configurations.
| 6.300251
| 6.890383
| 6.605399
| 6.913554
| 6.143289
| 6.706629
| 6.488507
| 6.544376
| 6.206872
| 7.125367
| 6.223027
| 6.282207
| 6.587591
| 6.340152
| 6.252271
| 6.245872
| 6.262568
| 6.377698
| 6.430059
| 6.253906
| 6.271964
|
hep-th/9510165
|
Oleg K. Sheinman
|
O.Sheinman
|
Integrable Many-Body Systems of Calogero-Moser-Sutherland Type in High
Dimension
|
amstex, no figures
| null | null | null |
hep-th
| null |
A new series of integrable cases of the many-body problem in many-dimensional
spaces is found. That series appears as a part of the larger series of
integrable problems, which are in 1-1 correspondence with Krichever-Novikov
algebras of affine type (that is with pairs each one consisting of some finite
root system and some Riemann surface of finite genus with two marked points).
|
[
{
"created": "Sat, 21 Oct 1995 18:20:54 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Nov 1995 16:47:06 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Sheinman",
"O.",
""
]
] |
A new series of integrable cases of the many-body problem in many-dimensional spaces is found. That series appears as a part of the larger series of integrable problems, which are in 1-1 correspondence with Krichever-Novikov algebras of affine type (that is with pairs each one consisting of some finite root system and some Riemann surface of finite genus with two marked points).
| 10.323421
| 12.418949
| 14.026013
| 10.713992
| 11.417294
| 11.46435
| 11.793771
| 11.345181
| 11.575422
| 15.046178
| 10.882752
| 10.019527
| 10.847519
| 9.869954
| 10.080272
| 9.638904
| 10.134852
| 10.403411
| 9.789558
| 10.815959
| 10.363784
|
hep-th/0505151
|
James Cline
|
Aaron Berndsen, Tirthabir Biswas, and James M. Cline
|
Moduli Stabilization in Brane Gas Cosmology with Superpotentials
|
minor changes to match the journal version
|
JCAP 0508 (2005) 012
|
10.1088/1475-7516/2005/08/012
| null |
hep-th hep-ph
| null |
In the context of brane gas cosmology in superstring theory, we show why it
is impossible to simultaneously stabilize the dilaton and the radion with a
general gas of strings (including massless modes) and D-branes. Although this
requires invoking a different mechanism to stabilize these moduli fields, we
find that the brane gas can still play a crucial role in the early universe in
assisting moduli stabilization. We show that a modest energy density of
specific types of brane gas can solve the overshoot problem that typically
afflicts potentials arising from gaugino condensation.
|
[
{
"created": "Tue, 17 May 2005 16:16:03 GMT",
"version": "v1"
},
{
"created": "Wed, 18 May 2005 03:24:26 GMT",
"version": "v2"
},
{
"created": "Thu, 9 Jun 2005 19:18:51 GMT",
"version": "v3"
},
{
"created": "Fri, 22 Jul 2005 01:17:27 GMT",
"version": "v4"
}
] |
2017-09-20
|
[
[
"Berndsen",
"Aaron",
""
],
[
"Biswas",
"Tirthabir",
""
],
[
"Cline",
"James M.",
""
]
] |
In the context of brane gas cosmology in superstring theory, we show why it is impossible to simultaneously stabilize the dilaton and the radion with a general gas of strings (including massless modes) and D-branes. Although this requires invoking a different mechanism to stabilize these moduli fields, we find that the brane gas can still play a crucial role in the early universe in assisting moduli stabilization. We show that a modest energy density of specific types of brane gas can solve the overshoot problem that typically afflicts potentials arising from gaugino condensation.
| 9.284978
| 8.305766
| 10.532723
| 8.119471
| 8.610903
| 8.701509
| 8.746259
| 7.766719
| 8.448143
| 10.118874
| 8.637265
| 8.573266
| 9.201631
| 8.682365
| 8.841733
| 9.171446
| 8.960775
| 8.992086
| 8.97854
| 9.119019
| 8.363249
|
hep-th/0601018
|
Manoel Messias Ferreira Junior
|
Manoel M. Ferreira Jr and Fernando M.O. Moucherek (UFMA)
|
Influence of Lorentz- and CPT-violating terms on the Dirac equation
|
13 pages, no figures, revtex4 style
|
Int.J.Mod.Phys. A21 (2006) 6211-6227
|
10.1142/S0217751X06033842
| null |
hep-th
| null |
The influence of Lorentz- and CPT-violating terms (in "vector" and "axial
vector" couplings) on the Dirac equation is explicitly analyzed: plane wave
solutions, dispersion relations and eigenenergies are explicitly obtained. The
non-relativistic limit is worked out and the Lorentz-violating Hamiltonian
identified in both cases, in full agreement with the results already
established in the literature. Finally, the physical implications of this
Hamiltonian on the spectrum of hydrogen are evaluated both in the absence and
presence of a magnetic external field. It is observed that the fixed
background, when considered in a vector coupling, yields no qualitative
modification in the hydrogen spectrum, whereas it does provide an effective
Zeeman-like splitting of the spectral lines whenever coupled in the axial
vector form. It is also argued that the presence of an external fixed field
does not imply new modifications on the spectrum.
|
[
{
"created": "Tue, 3 Jan 2006 20:12:01 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Apr 2006 21:51:39 GMT",
"version": "v2"
},
{
"created": "Tue, 9 Jan 2007 20:50:38 GMT",
"version": "v3"
}
] |
2009-11-11
|
[
[
"Ferreira",
"Manoel M.",
"Jr",
"UFMA"
],
[
"Moucherek",
"Fernando M. O.",
"",
"UFMA"
]
] |
The influence of Lorentz- and CPT-violating terms (in "vector" and "axial vector" couplings) on the Dirac equation is explicitly analyzed: plane wave solutions, dispersion relations and eigenenergies are explicitly obtained. The non-relativistic limit is worked out and the Lorentz-violating Hamiltonian identified in both cases, in full agreement with the results already established in the literature. Finally, the physical implications of this Hamiltonian on the spectrum of hydrogen are evaluated both in the absence and presence of a magnetic external field. It is observed that the fixed background, when considered in a vector coupling, yields no qualitative modification in the hydrogen spectrum, whereas it does provide an effective Zeeman-like splitting of the spectral lines whenever coupled in the axial vector form. It is also argued that the presence of an external fixed field does not imply new modifications on the spectrum.
| 9.348249
| 8.148562
| 9.189679
| 8.446572
| 8.52561
| 9.140573
| 8.974532
| 8.654764
| 8.396211
| 9.662338
| 8.299809
| 8.66189
| 9.239363
| 8.71275
| 8.78209
| 8.623066
| 8.372539
| 8.49272
| 8.738789
| 9.097435
| 8.578196
|
1803.10778
|
Paolo Glorioso
|
Ping Gao, Paolo Glorioso, Hong Liu
|
Ghostbusters: Unitarity and Causality of Non-equilibrium Effective Field
Theories
|
27 pages, 5 figures
| null | null |
MIT-CTP/4994; EFI-18-4
|
hep-th cond-mat.stat-mech nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
For a non-equilibrium physical system defined along a closed time path (CTP),
a key constraint is the so-called largest time equation, which is a consequence
of unitarity and implies causality. In this paper, we present a simple proof
that if the propagators of a non-equilibrium effective action have the proper
pole structure, the largest time equation is obeyed to all loop orders. Ghost
fields and BRST symmetry are not needed. In particular, the arguments for the
proof can also be used to show that if ghost fields are introduced, their
contributions vanish.
|
[
{
"created": "Wed, 28 Mar 2018 18:00:02 GMT",
"version": "v1"
}
] |
2018-03-30
|
[
[
"Gao",
"Ping",
""
],
[
"Glorioso",
"Paolo",
""
],
[
"Liu",
"Hong",
""
]
] |
For a non-equilibrium physical system defined along a closed time path (CTP), a key constraint is the so-called largest time equation, which is a consequence of unitarity and implies causality. In this paper, we present a simple proof that if the propagators of a non-equilibrium effective action have the proper pole structure, the largest time equation is obeyed to all loop orders. Ghost fields and BRST symmetry are not needed. In particular, the arguments for the proof can also be used to show that if ghost fields are introduced, their contributions vanish.
| 11.521874
| 11.586621
| 12.209973
| 10.006523
| 11.240595
| 11.822738
| 11.461206
| 10.881385
| 10.580104
| 10.697363
| 10.635784
| 10.5536
| 10.818768
| 10.071187
| 10.482689
| 10.474066
| 10.463747
| 10.512707
| 10.318451
| 10.884018
| 10.008768
|
hep-th/0210267
|
Khazret S. Nirov
|
Khazret S. Nirov and Alexander V. Razumov
|
W-algebras for non-abelian Toda systems
|
LaTeX, AMS fonts, 40 pages; v3: some comments and refs added
|
J.Geom.Phys. 48 (2003) 505-545
|
10.1016/S0393-0440(03)00054-8
|
INR-TH-02-10/2
|
hep-th math-ph math.MP nlin.SI
| null |
We construct the classical W-algebras for some non-abelian Toda systems
associated with the Lie groups GL(2n,R) and Sp(n,R). We start with the set of
characteristic integrals and find the Poisson brackets for the corresponding
Hamiltonian counterparts. The convenient block matrix representation for the
Toda equations is used. The infinitesimal symmetry transformations generated by
the elements of the W-algebras are presented.
|
[
{
"created": "Mon, 28 Oct 2002 17:54:24 GMT",
"version": "v1"
},
{
"created": "Sun, 10 Nov 2002 13:38:29 GMT",
"version": "v2"
},
{
"created": "Thu, 6 Mar 2003 16:22:08 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Nirov",
"Khazret S.",
""
],
[
"Razumov",
"Alexander V.",
""
]
] |
We construct the classical W-algebras for some non-abelian Toda systems associated with the Lie groups GL(2n,R) and Sp(n,R). We start with the set of characteristic integrals and find the Poisson brackets for the corresponding Hamiltonian counterparts. The convenient block matrix representation for the Toda equations is used. The infinitesimal symmetry transformations generated by the elements of the W-algebras are presented.
| 11.459914
| 9.617463
| 11.476978
| 8.97413
| 10.056047
| 10.250523
| 10.041811
| 9.61874
| 9.844729
| 11.159113
| 9.765991
| 9.814927
| 10.318126
| 9.842477
| 10.513959
| 10.45133
| 10.146831
| 10.119621
| 10.07001
| 10.670765
| 9.917317
|
1204.3073
|
Arttu Rajantie
|
Arttu Rajantie
|
Magnetic Monopoles in Field Theory and Cosmology
|
15 pages, no figures. Based on a talk given at the discussion meeting
"Emergent magnetic monopoles in frustrated magnetic systems" at the Kavli
Royal Society International Centre, 17-18 October 2011. To be published in
Philosophical Transactions of the Royal Society A
|
Phil. Trans. R. Soc. A. 370 (2012) 5705-5717
|
10.1098/rsta.2011.0394
|
Imperial/TP/2012/AR/1
|
hep-th cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The existence of magnetic monopoles is predicted by many theories of particle
physics beyond the Standard Model. However, in spite of extensive searches,
there is no experimental or observational sign of them. I review the role of
magnetic monopoles in quantum field theory and discuss their implications for
particle physics and cosmology. I also highlight their differences and
similarities with monopoles found in frustrated magnetic systems, and discuss
how experiments carried out in these systems could help us understand the
physics of fundamental monopoles.
|
[
{
"created": "Fri, 13 Apr 2012 18:40:40 GMT",
"version": "v1"
}
] |
2013-02-28
|
[
[
"Rajantie",
"Arttu",
""
]
] |
The existence of magnetic monopoles is predicted by many theories of particle physics beyond the Standard Model. However, in spite of extensive searches, there is no experimental or observational sign of them. I review the role of magnetic monopoles in quantum field theory and discuss their implications for particle physics and cosmology. I also highlight their differences and similarities with monopoles found in frustrated magnetic systems, and discuss how experiments carried out in these systems could help us understand the physics of fundamental monopoles.
| 5.384248
| 6.234625
| 5.279534
| 5.344369
| 5.291024
| 5.005976
| 5.362387
| 5.55179
| 4.955498
| 5.692731
| 5.2282
| 5.482238
| 5.222532
| 5.144404
| 5.354084
| 5.514203
| 5.373466
| 5.385936
| 5.202022
| 5.201324
| 5.467088
|
2304.12340
|
Fri{\dh}rik Freyr Gautason
|
Fridrik Freyr Gautason, Valentina Giangreco M. Puletti, Jesse van
Muiden
|
Quantized Strings and Instantons in Holography
|
38 pages. v2: Minor corrections. v3: Corrections to the fermion
partition function, appendix added. v4: Minor corrections
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study worldsheet instantons in holographic type IIA backgrounds directly
in string theory. The first background is a dimensional reduction of
AdS$_7\times S^4$ and is dual to the maximally supersymmetric Yang-Mills theory
on $S^5$. The second background is AdS$_4\times \mathbf{C}P^3$ dual to ABJM in
the type IIA limit. We compute the one-loop partition function of the
fundamental string in these backgrounds and show that the result is in exact
agreement with field theory predictions. We argue that for higher rank
instantons, the string partition function takes a product form of the single
instanton partition function times the contribution of two orbifolds on the
worldsheet. We determine the orbifold factor to be $n^{-3/2}$ where $n$ is the
instanton rank. With this result, we reproduce the series of non-perturbative
corrections in $\alpha'$ to the planar $S^5$ free energy. When studying the
worldsheet instanton partition function on $\mathbf{C}P^3$, we encounter twelve
fermionic and twelve bosonic zero modes. By deforming the ABJM theory, the
zero-modes are lifted and consequently the tower of worldsheet instantons can
be evaluated and matched to known results in the QFT. As a by-product, we
determine a series of higher rank instanton corrections to the free energy of
the mass-deformed and orbifolded ABJ(M) theory.
|
[
{
"created": "Mon, 24 Apr 2023 18:00:00 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Jun 2023 13:58:12 GMT",
"version": "v2"
},
{
"created": "Wed, 26 Jul 2023 20:37:40 GMT",
"version": "v3"
},
{
"created": "Wed, 20 Dec 2023 11:32:30 GMT",
"version": "v4"
}
] |
2023-12-21
|
[
[
"Gautason",
"Fridrik Freyr",
""
],
[
"Puletti",
"Valentina Giangreco M.",
""
],
[
"van Muiden",
"Jesse",
""
]
] |
We study worldsheet instantons in holographic type IIA backgrounds directly in string theory. The first background is a dimensional reduction of AdS$_7\times S^4$ and is dual to the maximally supersymmetric Yang-Mills theory on $S^5$. The second background is AdS$_4\times \mathbf{C}P^3$ dual to ABJM in the type IIA limit. We compute the one-loop partition function of the fundamental string in these backgrounds and show that the result is in exact agreement with field theory predictions. We argue that for higher rank instantons, the string partition function takes a product form of the single instanton partition function times the contribution of two orbifolds on the worldsheet. We determine the orbifold factor to be $n^{-3/2}$ where $n$ is the instanton rank. With this result, we reproduce the series of non-perturbative corrections in $\alpha'$ to the planar $S^5$ free energy. When studying the worldsheet instanton partition function on $\mathbf{C}P^3$, we encounter twelve fermionic and twelve bosonic zero modes. By deforming the ABJM theory, the zero-modes are lifted and consequently the tower of worldsheet instantons can be evaluated and matched to known results in the QFT. As a by-product, we determine a series of higher rank instanton corrections to the free energy of the mass-deformed and orbifolded ABJ(M) theory.
| 6.284662
| 6.269144
| 6.848392
| 6.14502
| 6.131946
| 6.139147
| 6.063148
| 5.991891
| 6.234409
| 7.373996
| 5.984635
| 6.090896
| 6.319473
| 6.070812
| 6.016242
| 6.175002
| 6.032319
| 6.035114
| 5.989509
| 6.398139
| 6.027908
|
2406.03543
|
Justin Berman
|
Justin Berman and Henriette Elvang
|
Corners and Islands in the S-matrix Bootstrap of the Open Superstring
|
37 pages + appendices, 21 figures
| null | null |
LCTP-24-10
|
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We bootstrap the Veneziano superstring amplitude in 10 dimensions from the
bottom-up. Starting with the most general maximally supersymmetric Yang-Mills
EFT, we input information about the lowest-lying massive states, which we
assume contribute via tree-level exchanges to the 4-point amplitude. We show
the following: (1) if there is only a single state at the lowest mass, it must
be a scalar. (2) Assuming a string-inspired gap between the mass of this scalar
and any other massive states, the allowed region of Wilson coefficients has a
new sharp corner where the Veneziano amplitude is located. (3) Upon fixing the
next massive state to be a vector, the EFT bounds have a one-parameter family
of corners; these would correspond to models with linear Regge trajectories of
varying slopes, one of which is the open superstring. (4) When the ratio
between the massive scalar coupling and the $\text{tr}\, F^4$ coefficient is
fixed to its string value, the spin and mass of the second massive state is
determined by the bootstrap and the Veneziano amplitude is isolated on a small
island in parameter space. Finally, we compare with other recent bootstraps
approaches, both the pion model and imposing Regge-inspired maximal spin
constraints.
|
[
{
"created": "Wed, 5 Jun 2024 18:00:03 GMT",
"version": "v1"
}
] |
2024-06-07
|
[
[
"Berman",
"Justin",
""
],
[
"Elvang",
"Henriette",
""
]
] |
We bootstrap the Veneziano superstring amplitude in 10 dimensions from the bottom-up. Starting with the most general maximally supersymmetric Yang-Mills EFT, we input information about the lowest-lying massive states, which we assume contribute via tree-level exchanges to the 4-point amplitude. We show the following: (1) if there is only a single state at the lowest mass, it must be a scalar. (2) Assuming a string-inspired gap between the mass of this scalar and any other massive states, the allowed region of Wilson coefficients has a new sharp corner where the Veneziano amplitude is located. (3) Upon fixing the next massive state to be a vector, the EFT bounds have a one-parameter family of corners; these would correspond to models with linear Regge trajectories of varying slopes, one of which is the open superstring. (4) When the ratio between the massive scalar coupling and the $\text{tr}\, F^4$ coefficient is fixed to its string value, the spin and mass of the second massive state is determined by the bootstrap and the Veneziano amplitude is isolated on a small island in parameter space. Finally, we compare with other recent bootstraps approaches, both the pion model and imposing Regge-inspired maximal spin constraints.
| 12.760206
| 13.43778
| 14.236674
| 12.420587
| 12.936958
| 12.94369
| 12.692701
| 12.406322
| 11.964437
| 14.502623
| 12.175458
| 12.640028
| 13.024154
| 12.627079
| 13.078
| 12.303091
| 12.583487
| 12.443501
| 12.384559
| 13.560047
| 12.544033
|
2305.10491
|
Marc Klinger
|
David S. Berman, Marc S. Klinger and Alexander G. Stapleton
|
Bayesian Renormalization
|
20 pages, no figures. V2: Citation format fixed, references added.
V3: Journal accepted version, new Section 4 includes fully worked
implementation of Bayesian Renormalization to a Neural Network, 30 pages, 2
tables, 5 figures
| null |
10.1088/2632-2153/ad0102
| null |
hep-th cond-mat.dis-nn cs.AI
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note we present a fully information theoretic approach to
renormalization inspired by Bayesian statistical inference, which we refer to
as Bayesian Renormalization. The main insight of Bayesian Renormalization is
that the Fisher metric defines a correlation length that plays the role of an
emergent RG scale quantifying the distinguishability between nearby points in
the space of probability distributions. This RG scale can be interpreted as a
proxy for the maximum number of unique observations that can be made about a
given system during a statistical inference experiment. The role of the
Bayesian Renormalization scheme is subsequently to prepare an effective model
for a given system up to a precision which is bounded by the aforementioned
scale. In applications of Bayesian Renormalization to physical systems, the
emergent information theoretic scale is naturally identified with the maximum
energy that can be probed by current experimental apparatus, and thus Bayesian
Renormalization coincides with ordinary renormalization. However, Bayesian
Renormalization is sufficiently general to apply even in circumstances in which
an immediate physical scale is absent, and thus provides an ideal approach to
renormalization in data science contexts. To this end, we provide insight into
how the Bayesian Renormalization scheme relates to existing methods for data
compression and data generation such as the information bottleneck and the
diffusion learning paradigm. We conclude by designing an explicit form of
Bayesian Renormalization inspired by Wilson's momentum shell renormalization
scheme in Quantum Field Theory. We apply this Bayesian Renormalization scheme
to a simple Neural Network and verify the sense in which it organizes the
parameters of the model according to a hierarchy of information theoretic
importance.
|
[
{
"created": "Wed, 17 May 2023 18:00:28 GMT",
"version": "v1"
},
{
"created": "Sat, 27 May 2023 18:54:26 GMT",
"version": "v2"
},
{
"created": "Mon, 9 Oct 2023 18:14:20 GMT",
"version": "v3"
}
] |
2023-10-11
|
[
[
"Berman",
"David S.",
""
],
[
"Klinger",
"Marc S.",
""
],
[
"Stapleton",
"Alexander G.",
""
]
] |
In this note we present a fully information theoretic approach to renormalization inspired by Bayesian statistical inference, which we refer to as Bayesian Renormalization. The main insight of Bayesian Renormalization is that the Fisher metric defines a correlation length that plays the role of an emergent RG scale quantifying the distinguishability between nearby points in the space of probability distributions. This RG scale can be interpreted as a proxy for the maximum number of unique observations that can be made about a given system during a statistical inference experiment. The role of the Bayesian Renormalization scheme is subsequently to prepare an effective model for a given system up to a precision which is bounded by the aforementioned scale. In applications of Bayesian Renormalization to physical systems, the emergent information theoretic scale is naturally identified with the maximum energy that can be probed by current experimental apparatus, and thus Bayesian Renormalization coincides with ordinary renormalization. However, Bayesian Renormalization is sufficiently general to apply even in circumstances in which an immediate physical scale is absent, and thus provides an ideal approach to renormalization in data science contexts. To this end, we provide insight into how the Bayesian Renormalization scheme relates to existing methods for data compression and data generation such as the information bottleneck and the diffusion learning paradigm. We conclude by designing an explicit form of Bayesian Renormalization inspired by Wilson's momentum shell renormalization scheme in Quantum Field Theory. We apply this Bayesian Renormalization scheme to a simple Neural Network and verify the sense in which it organizes the parameters of the model according to a hierarchy of information theoretic importance.
| 9.21302
| 10.032303
| 9.899944
| 9.562475
| 10.143236
| 10.150854
| 10.10542
| 9.453967
| 9.432212
| 10.996049
| 8.900865
| 9.02451
| 9.288275
| 8.897228
| 8.95591
| 8.928625
| 8.88825
| 8.857411
| 9.110142
| 9.154911
| 8.818498
|
2308.03194
|
Matthew Buican
|
Matthew Buican and Hongliang Jiang
|
From Free Fields to Interacting SCFTs via Representation Theory
|
30 pages;
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We ask when it is possible to construct arbitrary unitary multiplets of the
superconformal algebra with eight Poincar\'e supercharges that are compatible
with locality from (continuous deformations of) representations in free field
theories. We answer this question in two, three, and five dimensions. In four
dimensions, we resort to an intricate but self-consistent web of conjectures.
If correct, these conjectures imply various new non-perturbative constraints on
short multiplets in any local unitary 4d $\mathcal{N}=2$ superconformal field
theory and on an unusual set of related vertex algebras. Throughout, we connect
our results with properties of deformations in the space of theories.
|
[
{
"created": "Sun, 6 Aug 2023 19:23:11 GMT",
"version": "v1"
}
] |
2023-08-08
|
[
[
"Buican",
"Matthew",
""
],
[
"Jiang",
"Hongliang",
""
]
] |
We ask when it is possible to construct arbitrary unitary multiplets of the superconformal algebra with eight Poincar\'e supercharges that are compatible with locality from (continuous deformations of) representations in free field theories. We answer this question in two, three, and five dimensions. In four dimensions, we resort to an intricate but self-consistent web of conjectures. If correct, these conjectures imply various new non-perturbative constraints on short multiplets in any local unitary 4d $\mathcal{N}=2$ superconformal field theory and on an unusual set of related vertex algebras. Throughout, we connect our results with properties of deformations in the space of theories.
| 11.985483
| 10.322993
| 13.521867
| 10.462856
| 10.751193
| 10.795216
| 11.279361
| 10.50128
| 10.928907
| 14.249681
| 10.079029
| 11.037728
| 11.423753
| 10.512738
| 11.07725
| 10.867229
| 11.338538
| 10.748151
| 10.810109
| 11.465116
| 9.905642
|
1003.1878
|
Jae-Weon Lee Prof.
|
Jae-Weon Lee
|
Zero Cosmological Constant and Nonzero Dark Energy from Holographic
Principle
|
Revtex 7 pages 2 figs
|
J. Korean Phys. Soc. 63 (2013) 1088
|
10.3938/jkps.63.1088
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is shown that the first law of thermodynamics and the holographic
principle applied to an arbitrary large cosmic causal horizon naturally demand
the zero cosmological constant and non-zero dynamical dark energy in the form
of the holographic dark energy. Semiclassical analysis shows that the
holographic dark energy has a parameter $d=1$ and an equation of state
comparable to current observational data, if the entropy of the horizon
saturates the Bekenstein-Hawking bound. This result indicates that quantum
field theory should be modified at large scale to explain dark energy. The
relations among dark energy, quantum vacuum energy and entropic gravity are
also discussed.
|
[
{
"created": "Tue, 9 Mar 2010 14:22:42 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Apr 2010 15:00:36 GMT",
"version": "v2"
},
{
"created": "Tue, 25 Oct 2011 09:09:02 GMT",
"version": "v3"
},
{
"created": "Sat, 13 Apr 2013 14:19:08 GMT",
"version": "v4"
}
] |
2015-03-13
|
[
[
"Lee",
"Jae-Weon",
""
]
] |
It is shown that the first law of thermodynamics and the holographic principle applied to an arbitrary large cosmic causal horizon naturally demand the zero cosmological constant and non-zero dynamical dark energy in the form of the holographic dark energy. Semiclassical analysis shows that the holographic dark energy has a parameter $d=1$ and an equation of state comparable to current observational data, if the entropy of the horizon saturates the Bekenstein-Hawking bound. This result indicates that quantum field theory should be modified at large scale to explain dark energy. The relations among dark energy, quantum vacuum energy and entropic gravity are also discussed.
| 9.858369
| 9.974358
| 9.467393
| 8.942605
| 9.717393
| 9.100779
| 9.684131
| 9.518518
| 9.475116
| 9.979527
| 8.996901
| 8.904969
| 9.079836
| 8.968633
| 8.913664
| 8.966433
| 9.010753
| 8.951743
| 9.115771
| 9.271751
| 8.956258
|
1012.0549
|
Andrei Linde
|
Vittoria Demozzi, Andrei Linde and Viatcheslav Mukhanov
|
Supercurvaton
|
17 pages, 1 figure. Non-perturbative effects related to
non-gaussianity in the curvaton scenario are discussed, some references are
added. This is the version accepted in JCAP
| null |
10.1088/1475-7516/2011/04/013
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss observational consequences of the curvaton scenario, which
naturally appears in the context of the simplest model of chaotic inflation in
supergravity. The non-gaussianity parameter f_NL in this scenario can take
values in the observationally interesting range from O(10) to O(100). These
values may be different in different parts of the universe. The regions where
f_NL is particularly large form a curvaton web resembling a net of thick domain
walls, strings, or global monopoles.
|
[
{
"created": "Thu, 2 Dec 2010 19:38:13 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Mar 2011 04:38:14 GMT",
"version": "v2"
},
{
"created": "Mon, 11 Apr 2011 00:33:47 GMT",
"version": "v3"
}
] |
2015-05-20
|
[
[
"Demozzi",
"Vittoria",
""
],
[
"Linde",
"Andrei",
""
],
[
"Mukhanov",
"Viatcheslav",
""
]
] |
We discuss observational consequences of the curvaton scenario, which naturally appears in the context of the simplest model of chaotic inflation in supergravity. The non-gaussianity parameter f_NL in this scenario can take values in the observationally interesting range from O(10) to O(100). These values may be different in different parts of the universe. The regions where f_NL is particularly large form a curvaton web resembling a net of thick domain walls, strings, or global monopoles.
| 9.177278
| 9.096771
| 9.517754
| 8.694736
| 9.614958
| 10.114594
| 9.277864
| 9.396651
| 8.21872
| 9.99493
| 8.526839
| 9.297771
| 9.038828
| 8.612336
| 8.915827
| 9.201884
| 8.819721
| 8.946353
| 9.053146
| 8.972827
| 8.402793
|
hep-th/9508099
|
G. Mussardo
|
R. Konik, A. LeClair and G. Mussardo
|
On Ising Correlation Functions with Boundary Magnetic Field
|
19 pages, 5 uu-figures, macros: harvmac.tex and epsf.tex three
references added
|
Int. J. Mod. Phys. A11 (1996) 2765
|
10.1142/S0217751X96001346
|
CLNS 95/1355, ISAS/EP/95/93
|
hep-th cond-mat
| null |
Exact expressions of the boundary state and the form factors of the Ising
model are used to derive differential equations for the one-point functions of
the energy and magnetization operators of the model in the presence of a
boundary magnetic field. We also obtain explicit formulas for the massless
limit of the one-point and two-point functions of the energy operator.
|
[
{
"created": "Mon, 21 Aug 1995 11:20:12 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Aug 1995 11:10:21 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Konik",
"R.",
""
],
[
"LeClair",
"A.",
""
],
[
"Mussardo",
"G.",
""
]
] |
Exact expressions of the boundary state and the form factors of the Ising model are used to derive differential equations for the one-point functions of the energy and magnetization operators of the model in the presence of a boundary magnetic field. We also obtain explicit formulas for the massless limit of the one-point and two-point functions of the energy operator.
| 7.04931
| 6.567177
| 7.805085
| 6.222514
| 6.454944
| 6.795937
| 6.409104
| 6.589859
| 6.109937
| 9.843325
| 6.090143
| 6.654085
| 7.879027
| 6.809434
| 6.641277
| 6.698607
| 6.667241
| 6.535348
| 6.88912
| 7.638677
| 6.723002
|
1610.08864
|
Jiahua Tian
|
James Halverson and Jiahua Tian
|
The Cost of Seven-brane Gauge Symmetry in a Quadrillion F-theory
Compactifications
|
11 pages
|
Phys. Rev. D 95, 026005 (2017)
|
10.1103/PhysRevD.95.026005
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study seven-branes in $O(10^{15})$ four-dimensional F-theory
compactifications where seven-brane moduli must be tuned in order to achieve
non-abelian gauge symmetry. The associated compact spaces $B$ are the set of
all smooth weak Fano toric threefolds. By a study of fine star regular
triangulations of three dimensional reflexive polytopes, the number of such
spaces is estimated to be $5.8\times 10^{14}\lesssim N_\text{bases}\lesssim
1.8\times 10^{17}$. Typically hundreds or thousands of moduli must be tuned to
achieve symmetry for $h^{11}(B)<10$, but the average number drops sharply into
the range $O(25)$-$O(200)$ as $h^{11}(B)$ increases. For some low rank groups,
such as $SU(2)$ and $SU(3)$, there exist examples where only a few moduli must
be tuned in order to achieve seven-brane gauge symmetry.
|
[
{
"created": "Thu, 27 Oct 2016 16:16:46 GMT",
"version": "v1"
}
] |
2017-01-11
|
[
[
"Halverson",
"James",
""
],
[
"Tian",
"Jiahua",
""
]
] |
We study seven-branes in $O(10^{15})$ four-dimensional F-theory compactifications where seven-brane moduli must be tuned in order to achieve non-abelian gauge symmetry. The associated compact spaces $B$ are the set of all smooth weak Fano toric threefolds. By a study of fine star regular triangulations of three dimensional reflexive polytopes, the number of such spaces is estimated to be $5.8\times 10^{14}\lesssim N_\text{bases}\lesssim 1.8\times 10^{17}$. Typically hundreds or thousands of moduli must be tuned to achieve symmetry for $h^{11}(B)<10$, but the average number drops sharply into the range $O(25)$-$O(200)$ as $h^{11}(B)$ increases. For some low rank groups, such as $SU(2)$ and $SU(3)$, there exist examples where only a few moduli must be tuned in order to achieve seven-brane gauge symmetry.
| 8.315692
| 8.161506
| 8.541412
| 7.777519
| 8.505196
| 9.269018
| 8.746574
| 8.414952
| 7.744226
| 9.797961
| 8.105779
| 7.917776
| 8.148951
| 7.647539
| 7.636166
| 7.757926
| 7.829887
| 7.962185
| 7.644361
| 8.276124
| 7.486435
|
hep-th/9909076
| null |
Hisaki Hatanaka, Makoto Sakamoto, Motoi Tachibana, Kazunori Takenaga
|
Many-Brane Extention of the Randall-Sundrum Solution
|
PTPTeX 1.0(preprint style), 8 pages, no figures, references and typos
corrected
|
Prog.Theor.Phys. 102 (1999) 1213-1218
|
10.1143/PTP.102.1213
|
KOBE-TH-99-05, YITP-99-55, IFUP-TH-50-99
|
hep-th
| null |
Recently, Randall and Sundrum proposed a static solution to Einstein's
equations in five spacetime dimensions with two 3-branes located at the fixed
points of $S^1/Z_2$ to solve the hierarchy problem. We extend the solution and
construct static and also inflationary solutions to Einstein's equations in
five spacetime dimensions, one of which is compactified on $S^1$, with any
number of 3-branes whose locations are taken to be arbitrary. We discuss how
the hierarchy problem can be explained in our model.
|
[
{
"created": "Mon, 13 Sep 1999 07:17:47 GMT",
"version": "v1"
},
{
"created": "Sat, 13 Nov 1999 07:49:43 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Hatanaka",
"Hisaki",
""
],
[
"Sakamoto",
"Makoto",
""
],
[
"Tachibana",
"Motoi",
""
],
[
"Takenaga",
"Kazunori",
""
]
] |
Recently, Randall and Sundrum proposed a static solution to Einstein's equations in five spacetime dimensions with two 3-branes located at the fixed points of $S^1/Z_2$ to solve the hierarchy problem. We extend the solution and construct static and also inflationary solutions to Einstein's equations in five spacetime dimensions, one of which is compactified on $S^1$, with any number of 3-branes whose locations are taken to be arbitrary. We discuss how the hierarchy problem can be explained in our model.
| 6.421113
| 4.869563
| 5.392624
| 5.235765
| 4.922752
| 4.872298
| 5.146971
| 5.160246
| 5.263357
| 5.676338
| 5.529484
| 5.08791
| 5.153316
| 4.939661
| 5.173095
| 5.115729
| 5.374478
| 5.201025
| 5.044895
| 5.235994
| 5.132278
|
hep-th/0606219
|
Juan Antonio Nieto
|
J. A. Nieto
|
The 2+2-Signature and the 1+1-Matrix-Brane
|
12 pages, Latex, to appear in Mod. Phys. Lett. A
|
Mod.Phys.Lett.A22:2453-2461,2007
|
10.1142/S0217732307022657
| null |
hep-th
| null |
We discuss different aspects of the 2+2-signature from the point of view of
the quatl theory. In particular, we compare two alternative approaches to such
a spacetime signature, namely the 1+1-matrix-brane and the 2+2-target spacetime
of a string. This analysis also reveals hidden discrete symmetries of the
2+2-brane action associated with the 2+2-dimensional sector of a
2+10-dimensional target background.
|
[
{
"created": "Thu, 22 Jun 2006 18:10:26 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Nov 2006 20:05:25 GMT",
"version": "v2"
},
{
"created": "Tue, 2 Jan 2007 18:50:33 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Nieto",
"J. A.",
""
]
] |
We discuss different aspects of the 2+2-signature from the point of view of the quatl theory. In particular, we compare two alternative approaches to such a spacetime signature, namely the 1+1-matrix-brane and the 2+2-target spacetime of a string. This analysis also reveals hidden discrete symmetries of the 2+2-brane action associated with the 2+2-dimensional sector of a 2+10-dimensional target background.
| 16.649971
| 14.974401
| 18.230618
| 16.505014
| 13.625343
| 16.301115
| 15.710979
| 13.851209
| 15.897429
| 16.88183
| 14.570931
| 14.430922
| 15.21358
| 15.450942
| 15.455245
| 15.29848
| 15.590636
| 14.991345
| 15.19129
| 16.089422
| 15.45704
|
1012.1832
|
Ashok Das
|
Ashok Das and J. Frenkel
|
Infrared chiral anomaly at finite temperature
|
revtex, 5pages
|
Phys.Lett.B696:556-559,2011
|
10.1016/j.physletb.2011.01.017
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the Schwinger model at finite temperature and show that a
temperature dependent chiral anomaly may arise from the long distance behavior
of the electric field. At high temperature this anomaly depends linearly on the
temperature $T$ and is present not only in the two point function, but also in
all even point amplitudes.
|
[
{
"created": "Wed, 8 Dec 2010 19:27:07 GMT",
"version": "v1"
}
] |
2011-02-16
|
[
[
"Das",
"Ashok",
""
],
[
"Frenkel",
"J.",
""
]
] |
We study the Schwinger model at finite temperature and show that a temperature dependent chiral anomaly may arise from the long distance behavior of the electric field. At high temperature this anomaly depends linearly on the temperature $T$ and is present not only in the two point function, but also in all even point amplitudes.
| 9.193354
| 7.664649
| 8.581551
| 7.106067
| 7.765364
| 7.378585
| 7.862375
| 7.900622
| 6.82667
| 8.169581
| 7.804152
| 7.341082
| 8.067139
| 7.716517
| 7.800436
| 7.734045
| 7.395804
| 7.766884
| 7.636697
| 8.508797
| 7.719949
|
2112.05710
|
Lucas Pinol
|
Lucas Pinol, Shuntaro Aoki, S\'ebastien Renaux-Petel, Masahide
Yamaguchi
|
Inflationary flavor oscillations and the cosmic spectroscopy
|
v2: 7 pages, 4 figures, minor modifications, version published as a
Letter in PRD
| null |
10.1103/PhysRevD.107.L021301
| null |
hep-th astro-ph.CO hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Inflationary scenarios motivated by high-energy physics generically contain a
plethora of degrees of freedom beyond the primordial curvature perturbation.
The latter interacts in a simple way with what we name "inflationary flavor
eigenstates", which differ, in general, from freely propagating "mass
eigenstates". We show that the mixing between these misaligned states results
in new striking behaviors in the squeezed limit of the curvature perturbation
three-point function, depending not only on the mass spectrum but also on the
"mixing angles" of the theory. These results bring about a new perspective on
the cosmological collider program: contrary to a widespread belief, the
primordial signal needs not be dominated by the lightest extra degree of
freedom. Instead, we show that it may display either modulated oscillations, a
broken power law, or a transition from oscillations to a power law, thus
offering a detailed cosmic spectroscopy of the particle content of inflation.
|
[
{
"created": "Fri, 10 Dec 2021 18:06:46 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Jan 2023 11:33:50 GMT",
"version": "v2"
}
] |
2023-01-23
|
[
[
"Pinol",
"Lucas",
""
],
[
"Aoki",
"Shuntaro",
""
],
[
"Renaux-Petel",
"Sébastien",
""
],
[
"Yamaguchi",
"Masahide",
""
]
] |
Inflationary scenarios motivated by high-energy physics generically contain a plethora of degrees of freedom beyond the primordial curvature perturbation. The latter interacts in a simple way with what we name "inflationary flavor eigenstates", which differ, in general, from freely propagating "mass eigenstates". We show that the mixing between these misaligned states results in new striking behaviors in the squeezed limit of the curvature perturbation three-point function, depending not only on the mass spectrum but also on the "mixing angles" of the theory. These results bring about a new perspective on the cosmological collider program: contrary to a widespread belief, the primordial signal needs not be dominated by the lightest extra degree of freedom. Instead, we show that it may display either modulated oscillations, a broken power law, or a transition from oscillations to a power law, thus offering a detailed cosmic spectroscopy of the particle content of inflation.
| 11.918278
| 11.748363
| 10.391864
| 10.40909
| 12.001728
| 11.282868
| 11.759887
| 10.700603
| 10.707008
| 11.832604
| 10.293251
| 10.958378
| 11.092496
| 10.687174
| 10.864596
| 10.567592
| 10.979202
| 10.905694
| 10.632547
| 10.902021
| 10.53732
|
0704.2465
|
Alberto T. Faraggi
|
Maximo Banados (Chile U., Catolica), Alberto T. Faraggi (Michigan U.),
Stefan Theisen (Potsdam, Max Planck Inst.)
|
N=2 supergravity in three dimensions and its Godel supersymmetric
background
| null |
Phys.Rev.D75:125015,2007
|
10.1103/PhysRevD.75.125015
| null |
hep-th
| null |
The four dimensional Godel spacetime is known to have the structure M_3 x R.
It is also known that the three-dimensional factor M_3 is an exact solution of
three-dimensional gravity coupled to a Maxwell-Chern-Simons theory. We build in
this paper a N=2 supergravity extension for this action and prove that the
Godel background preserves half of all supersymmetries.
|
[
{
"created": "Thu, 19 Apr 2007 05:42:25 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Apr 2007 19:45:02 GMT",
"version": "v2"
},
{
"created": "Wed, 6 Jun 2007 04:53:42 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Banados",
"Maximo",
"",
"Chile U., Catolica"
],
[
"Faraggi",
"Alberto T.",
"",
"Michigan U."
],
[
"Theisen",
"Stefan",
"",
"Potsdam, Max Planck Inst."
]
] |
The four dimensional Godel spacetime is known to have the structure M_3 x R. It is also known that the three-dimensional factor M_3 is an exact solution of three-dimensional gravity coupled to a Maxwell-Chern-Simons theory. We build in this paper a N=2 supergravity extension for this action and prove that the Godel background preserves half of all supersymmetries.
| 10.429419
| 9.007931
| 9.213108
| 8.950264
| 8.842515
| 9.249393
| 8.425144
| 8.718987
| 8.32569
| 10.429741
| 8.439584
| 8.268976
| 9.527977
| 8.617249
| 8.801514
| 8.575995
| 8.592405
| 8.347573
| 8.991492
| 9.482001
| 8.975974
|
0710.1063
|
Ludmil Hadjiivanov
|
P. Furlan, L. Hadjiivanov, I. Todorov
|
Zero modes' fusion ring and braid group representations for the extended
chiral su(2) WZNW model
|
36 pages, 1 figure; version 3 - improvements in Sec. 2 and 3:
definitions of the double, as well as R- (and M-)matrix changed to fit the
zero modes' ones
|
Lett.Math.Phys.82:117-151,2007
|
10.1007/s11005-007-0209-4
| null |
hep-th math-ph math.MP math.QA
| null |
The zero modes' Fock space for the extended chiral $su(2)$ WZNW model gives
room to a realization of the Grothendieck fusion ring of representations of the
restricted $U_q sl(2)$ quantum universal enveloping algebra (QUEA) at an even
($2h$-th) root of unity, and of its extension by the Lusztig operators. It is
shown that expressing the Drinfeld images of canonical characters in terms of
Chebyshev polynomials of the Casimir invariant $C$ allows a streamlined
derivation of the characteristic equation of $C$ from the defining relations of
the restricted QUEA. The properties of the fusion ring of the Lusztig's
extension of the QUEA in the zero modes' Fock space are related to the braiding
properties of correlation functions of primary fields of the extended
$su(2)_{h-2}$ current algebra model.
|
[
{
"created": "Thu, 4 Oct 2007 18:12:55 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Jan 2008 11:33:24 GMT",
"version": "v2"
},
{
"created": "Thu, 24 Apr 2008 10:10:59 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Furlan",
"P.",
""
],
[
"Hadjiivanov",
"L.",
""
],
[
"Todorov",
"I.",
""
]
] |
The zero modes' Fock space for the extended chiral $su(2)$ WZNW model gives room to a realization of the Grothendieck fusion ring of representations of the restricted $U_q sl(2)$ quantum universal enveloping algebra (QUEA) at an even ($2h$-th) root of unity, and of its extension by the Lusztig operators. It is shown that expressing the Drinfeld images of canonical characters in terms of Chebyshev polynomials of the Casimir invariant $C$ allows a streamlined derivation of the characteristic equation of $C$ from the defining relations of the restricted QUEA. The properties of the fusion ring of the Lusztig's extension of the QUEA in the zero modes' Fock space are related to the braiding properties of correlation functions of primary fields of the extended $su(2)_{h-2}$ current algebra model.
| 9.316849
| 9.405871
| 11.021903
| 9.023424
| 9.329163
| 10.0682
| 10.107495
| 9.436146
| 9.460605
| 12.620421
| 9.055175
| 8.87304
| 9.62354
| 8.891776
| 8.982499
| 8.883461
| 8.567522
| 8.88395
| 8.81197
| 9.291303
| 8.9123
|
hep-th/9809063
|
Nissan Itzhaki
|
N. Itzhaki
|
D6+D0 and Five Dimensional Spinning Black Hole
|
8 pages
|
JHEP 9809:018,1998
|
10.1088/1126-6708/1998/09/018
|
UCSBTH-98-6
|
hep-th
| null |
We study the system of D6+D0 branes at sub-stringy scale. We show that the
proper description of the system, for large background field associated with
the D0-branes, is via spinning chargeless black holes in five dimensions. The
repulsive force between the D6-branes and the D0-branes is understood through
the centrifugal barrier. We discuss the implication on the stability of the
D6+D0 solution.
|
[
{
"created": "Wed, 9 Sep 1998 18:58:05 GMT",
"version": "v1"
}
] |
2010-02-03
|
[
[
"Itzhaki",
"N.",
""
]
] |
We study the system of D6+D0 branes at sub-stringy scale. We show that the proper description of the system, for large background field associated with the D0-branes, is via spinning chargeless black holes in five dimensions. The repulsive force between the D6-branes and the D0-branes is understood through the centrifugal barrier. We discuss the implication on the stability of the D6+D0 solution.
| 10.947194
| 10.800866
| 12.339382
| 9.995777
| 10.051493
| 9.624412
| 10.225448
| 9.273888
| 9.537352
| 12.706022
| 9.509624
| 9.802803
| 10.70322
| 9.848707
| 9.464224
| 9.596789
| 9.462336
| 9.728776
| 9.986205
| 10.320914
| 9.648049
|
2002.12335
|
Alexandria Costantino
|
Alexandria Costantino, Sylvain Fichet, Philip Tanedo
|
Effective Field Theory in AdS: Continuum Regime, Soft Bombs, and IR
Emergence
|
27 pages, 3 figures; v4: Minor text improvements, references added
|
Phys. Rev. D 102, 115038 (2020)
|
10.1103/PhysRevD.102.115038
|
UCR-TR-2020-FLIP-IG-11
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a scalar field in a slice of Lorentzian five-dimensional AdS at
arbitrary energies. We show that the presence of bulk interactions separate the
behavior of the theory into two different regimes: Kaluza--Klein and continuum.
We determine the transition scale between these regimes and show that UV brane
correlation functions are independent of IR brane-localized operators for
four-momenta beyond this transition scale. The same bulk interactions that
induce the transition also give rise to cascade decays. We study these cascade
decays for the case of a cubic self-interaction in the continuum regime. We
find that the cascade decay progresses slowly towards the IR region and gives
rise to soft spherical final states, in accordance with former results from
both gravity and CFT. We identify a recursion relation between integrated
squared amplitudes of different leg numbers and thus evaluate the total rate.
We find that cascade decays in the continuum regime are exponentially
suppressed. This feature completes the picture of the IR brane as an emergent
sector as seen from the UV brane. We briefly discuss consistency with the
holographic dual description of glueballs and some implications for dark sector
models.
|
[
{
"created": "Thu, 27 Feb 2020 18:54:24 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Jun 2020 06:23:02 GMT",
"version": "v2"
},
{
"created": "Mon, 4 Jan 2021 03:03:02 GMT",
"version": "v3"
},
{
"created": "Fri, 12 Mar 2021 18:57:55 GMT",
"version": "v4"
}
] |
2021-03-15
|
[
[
"Costantino",
"Alexandria",
""
],
[
"Fichet",
"Sylvain",
""
],
[
"Tanedo",
"Philip",
""
]
] |
We consider a scalar field in a slice of Lorentzian five-dimensional AdS at arbitrary energies. We show that the presence of bulk interactions separate the behavior of the theory into two different regimes: Kaluza--Klein and continuum. We determine the transition scale between these regimes and show that UV brane correlation functions are independent of IR brane-localized operators for four-momenta beyond this transition scale. The same bulk interactions that induce the transition also give rise to cascade decays. We study these cascade decays for the case of a cubic self-interaction in the continuum regime. We find that the cascade decay progresses slowly towards the IR region and gives rise to soft spherical final states, in accordance with former results from both gravity and CFT. We identify a recursion relation between integrated squared amplitudes of different leg numbers and thus evaluate the total rate. We find that cascade decays in the continuum regime are exponentially suppressed. This feature completes the picture of the IR brane as an emergent sector as seen from the UV brane. We briefly discuss consistency with the holographic dual description of glueballs and some implications for dark sector models.
| 14.089927
| 14.963313
| 14.741043
| 13.493459
| 13.735205
| 14.569111
| 14.698534
| 14.274387
| 13.748478
| 14.22051
| 13.915638
| 13.659824
| 14.082024
| 13.904977
| 13.88062
| 14.461073
| 13.9496
| 13.682041
| 13.497825
| 14.243247
| 13.763988
|
1007.4380
|
Alexander Reshetnyak
|
V. Egorushkin, N. Melnikova, A. Ponomarev and A. Reshetnyak (Institute
of Strength Physics and Material Science, Tomsk, Russia)
|
Anomalous thermal conductivity in multiwalled carbon nanotubes with
impurities and short-range order
|
8 pages, 3 figures, contribution to the proceedings of the 2nd
International Conference on Theoretical Physics DUBNA-NANO2010, Dubna,
Russia, 5-10 July, 2010
|
J.Phys.Conf.Ser.248:012005,2010
|
10.1088/1742-6596/248/1/012005
| null |
hep-th cond-mat.mes-hall
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Low-temperature thermal conductivity and thermopower of multiwalled carbon
nanotubes considered within a bundle of nanotubes are calculated taking into
account multiple scattering of electrons on the atoms of impurities (like
single carbon atoms) and short-range order regions arising due to a some
distribution of the impurities. The calculations are realized on a base of the
temperature diagrammatic Feynman techniques and the results of our research are
in a good quantitative and qualitative agreement with the corresponding
experimental data for multiwalled carbon nanotubes with diameter less or equal
10 nm at T<50K.
|
[
{
"created": "Mon, 26 Jul 2010 06:19:48 GMT",
"version": "v1"
}
] |
2010-12-07
|
[
[
"Egorushkin",
"V.",
"",
"Institute\n of Strength Physics and Material Science, Tomsk, Russia"
],
[
"Melnikova",
"N.",
"",
"Institute\n of Strength Physics and Material Science, Tomsk, Russia"
],
[
"Ponomarev",
"A.",
"",
"Institute\n of Strength Physics and Material Science, Tomsk, Russia"
],
[
"Reshetnyak",
"A.",
"",
"Institute\n of Strength Physics and Material Science, Tomsk, Russia"
]
] |
Low-temperature thermal conductivity and thermopower of multiwalled carbon nanotubes considered within a bundle of nanotubes are calculated taking into account multiple scattering of electrons on the atoms of impurities (like single carbon atoms) and short-range order regions arising due to a some distribution of the impurities. The calculations are realized on a base of the temperature diagrammatic Feynman techniques and the results of our research are in a good quantitative and qualitative agreement with the corresponding experimental data for multiwalled carbon nanotubes with diameter less or equal 10 nm at T<50K.
| 15.038774
| 18.74786
| 16.139061
| 15.184956
| 15.836263
| 18.666502
| 16.497229
| 16.803322
| 16.490263
| 16.221771
| 14.767768
| 13.517212
| 13.811227
| 14.289465
| 14.567134
| 14.081568
| 14.363723
| 13.384893
| 13.568548
| 13.708695
| 13.872627
|
hep-th/0401001
|
Christopher Pope
|
J. Kerimo, J.T. Liu, H. Lu and C.N. Pope
|
Variant N=(1,1) Supergravity and (Minkowski)_4 x S^2 Vacua
|
Latex, 17 pages. Version appearing in Classical and Quantum Gravity
|
Class.Quant.Grav.21:3287-3300,2004
|
10.1088/0264-9381/21/13/011
|
MIFP-04-01
|
hep-th
| null |
We construct the fermionic sector and supersymmetry transformation rules of a
variant N=(1,1) supergravity theory obtained by generalized Kaluza-Klein
reduction from seven dimensions. We show that this model admits both
(Minkowski)_4 x S^2 and (Minkowski)_3 x S^3 vacua. We perform a consistent
Kaluza-Klein reduction on S^2 and obtain D=4, N=2 supergravity coupled to a
vector multiplet, which can be consistently truncated to give rise to D=4, N=1
supergravity with a chiral multiplet.
|
[
{
"created": "Mon, 5 Jan 2004 20:24:49 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Aug 2004 08:05:20 GMT",
"version": "v2"
}
] |
2009-10-07
|
[
[
"Kerimo",
"J.",
""
],
[
"Liu",
"J. T.",
""
],
[
"Lu",
"H.",
""
],
[
"Pope",
"C. N.",
""
]
] |
We construct the fermionic sector and supersymmetry transformation rules of a variant N=(1,1) supergravity theory obtained by generalized Kaluza-Klein reduction from seven dimensions. We show that this model admits both (Minkowski)_4 x S^2 and (Minkowski)_3 x S^3 vacua. We perform a consistent Kaluza-Klein reduction on S^2 and obtain D=4, N=2 supergravity coupled to a vector multiplet, which can be consistently truncated to give rise to D=4, N=1 supergravity with a chiral multiplet.
| 5.198018
| 4.629976
| 5.176077
| 4.453071
| 4.372828
| 4.561596
| 4.933042
| 4.298378
| 4.560518
| 5.549652
| 4.745414
| 4.578654
| 4.992988
| 4.65437
| 4.827822
| 4.610958
| 4.693151
| 4.678231
| 4.720768
| 4.929988
| 4.772707
|
1802.05201
|
Shota Komatsu
|
Simone Giombi, Shota Komatsu
|
Exact Correlators on the Wilson Loop in $\mathcal{N}=4$ SYM:
Localization, Defect CFT, and Integrability
|
43+4 pages; v2 References added. Minor corrections. Explanation in
section 4.2 expanded; v3 Corrected statements about nonplanar corrections
| null |
10.1007/JHEP05(2018)109
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute a set of correlation functions of operator insertions on the 1/8
BPS Wilson loop in $\mathcal{N}=4$ SYM by employing supersymmetric
localization, OPE and the Gram-Schmidt orthogonalization. These correlators
exhibit a simple determinant structure, are position-independent and form a
topological subsector, but depend nontrivially on the 't Hooft coupling and the
rank of the gauge group. When applied to the 1/2 BPS circular (or straight)
Wilson loop, our results provide an infinite family of exact defect CFT data,
including the structure constants of protected defect primaries of arbitrary
length inserted on the loop. At strong coupling, we show precise agreement with
a direct calculation using perturbation theory around the AdS$_2$ string
worldsheet. We also explain the connection of our results to the "generalized
Bremsstrahlung functions" previously computed from integrability techniques,
reproducing the known results in the planar limit as well as obtaining some of
their finite N generalizations. Furthermore, we show that the correlators at
large N can be recast as simple integrals of products of polynomials (known as
Q-functions) that appear in the Quantum Spectral Curve approach. This suggests
an interesting interplay between localization, defect CFT and integrability.
|
[
{
"created": "Wed, 14 Feb 2018 16:48:58 GMT",
"version": "v1"
},
{
"created": "Sat, 24 Feb 2018 15:31:00 GMT",
"version": "v2"
},
{
"created": "Thu, 8 Nov 2018 03:31:22 GMT",
"version": "v3"
}
] |
2018-11-09
|
[
[
"Giombi",
"Simone",
""
],
[
"Komatsu",
"Shota",
""
]
] |
We compute a set of correlation functions of operator insertions on the 1/8 BPS Wilson loop in $\mathcal{N}=4$ SYM by employing supersymmetric localization, OPE and the Gram-Schmidt orthogonalization. These correlators exhibit a simple determinant structure, are position-independent and form a topological subsector, but depend nontrivially on the 't Hooft coupling and the rank of the gauge group. When applied to the 1/2 BPS circular (or straight) Wilson loop, our results provide an infinite family of exact defect CFT data, including the structure constants of protected defect primaries of arbitrary length inserted on the loop. At strong coupling, we show precise agreement with a direct calculation using perturbation theory around the AdS$_2$ string worldsheet. We also explain the connection of our results to the "generalized Bremsstrahlung functions" previously computed from integrability techniques, reproducing the known results in the planar limit as well as obtaining some of their finite N generalizations. Furthermore, we show that the correlators at large N can be recast as simple integrals of products of polynomials (known as Q-functions) that appear in the Quantum Spectral Curve approach. This suggests an interesting interplay between localization, defect CFT and integrability.
| 5.806104
| 6.031329
| 7.419625
| 5.692366
| 5.813243
| 5.893214
| 5.626204
| 5.840624
| 5.91794
| 8.369529
| 5.634634
| 6.1024
| 6.441121
| 6.056575
| 5.91367
| 5.947076
| 5.982698
| 6.061965
| 5.930423
| 6.500293
| 5.904119
|
hep-th/0206046
|
Dejan Stojkovic
|
Valeri Frolov and Dejan Stojkovic
|
Black Hole Radiation in the Brane World and Recoil Effect
|
references added, accepted for publication in Phys. Rev. D
|
Phys.Rev.D66:084002,2002
|
10.1103/PhysRevD.66.084002
| null |
hep-th gr-qc hep-ph
| null |
A black hole attached to a brane in a higher dimensional space emitting
quanta into the bulk may leave the brane as a result of a recoil. We study this
effect. We consider black holes which have a size much smaller than the
characteristic size of extra dimensions. Such a black hole can be effectively
described as a massive particle with internal degrees of freedom. We consider
an interaction of such particles with a scalar massless field and prove that
for a special choice of the coupling constant describing the transition of the
particle to a state with smaller mass the probability of massless quanta
emission takes the form identical to the probability of the black hole
emission. Using this model we calculate the probability for a black hole to
leave the brane and study its properties. The discussed recoil effect implies
that black holes which might be created by interaction of high energy particles
in colliders the thermal emission of the formed black hole could be terminated
and the energy non-conservation can be observed in the brane experiments.
|
[
{
"created": "Thu, 6 Jun 2002 00:32:01 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Jun 2002 23:59:24 GMT",
"version": "v2"
},
{
"created": "Sat, 3 Aug 2002 18:01:15 GMT",
"version": "v3"
}
] |
2009-07-09
|
[
[
"Frolov",
"Valeri",
""
],
[
"Stojkovic",
"Dejan",
""
]
] |
A black hole attached to a brane in a higher dimensional space emitting quanta into the bulk may leave the brane as a result of a recoil. We study this effect. We consider black holes which have a size much smaller than the characteristic size of extra dimensions. Such a black hole can be effectively described as a massive particle with internal degrees of freedom. We consider an interaction of such particles with a scalar massless field and prove that for a special choice of the coupling constant describing the transition of the particle to a state with smaller mass the probability of massless quanta emission takes the form identical to the probability of the black hole emission. Using this model we calculate the probability for a black hole to leave the brane and study its properties. The discussed recoil effect implies that black holes which might be created by interaction of high energy particles in colliders the thermal emission of the formed black hole could be terminated and the energy non-conservation can be observed in the brane experiments.
| 10.172515
| 8.81413
| 9.990249
| 8.93174
| 10.302657
| 9.990368
| 10.25581
| 9.026953
| 8.687457
| 10.901889
| 8.88384
| 9.470327
| 9.596703
| 9.3288
| 9.29507
| 9.430377
| 9.584227
| 9.356083
| 9.184421
| 9.691154
| 9.14185
|
2205.01119
|
Stefano Andriolo
|
Stefano Andriolo and Gary Shiu and Pablo Soler and Thomas Van Riet
|
Axion wormholes with massive dilaton
|
18 pages, 4 figures, published version
|
Class. Quant. Grav., Vol. 39, num. 21, pg. 215014, 2022
|
10.1088/1361-6382/ac8fdc
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
If Euclidean wormholes contribute meaningfully to the path integral of
quantum gravity they can have important implications for particle physics and
cosmology. The dominant effects arise from wormholes whose sizes are comparable
to the cut-off scale of effective field theory, for which ultraviolet
corrections become relevant. We study corrections to classical axion wormhole
solutions in string motivated scenarios in which the dilaton partner of the
axion becomes massive. We find corrections near the neck region which are
consistent with a recent version of the weak gravity conjecture for axions.
|
[
{
"created": "Mon, 2 May 2022 18:00:02 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Nov 2022 19:31:07 GMT",
"version": "v2"
}
] |
2022-11-10
|
[
[
"Andriolo",
"Stefano",
""
],
[
"Shiu",
"Gary",
""
],
[
"Soler",
"Pablo",
""
],
[
"Van Riet",
"Thomas",
""
]
] |
If Euclidean wormholes contribute meaningfully to the path integral of quantum gravity they can have important implications for particle physics and cosmology. The dominant effects arise from wormholes whose sizes are comparable to the cut-off scale of effective field theory, for which ultraviolet corrections become relevant. We study corrections to classical axion wormhole solutions in string motivated scenarios in which the dilaton partner of the axion becomes massive. We find corrections near the neck region which are consistent with a recent version of the weak gravity conjecture for axions.
| 12.721764
| 10.555714
| 11.118499
| 10.62517
| 10.913844
| 10.619231
| 10.69116
| 9.999364
| 10.589445
| 13.453668
| 10.14316
| 10.858609
| 11.407498
| 10.407453
| 10.480775
| 10.57175
| 10.543566
| 10.441572
| 10.990372
| 11.237907
| 10.032918
|
hep-th/9907126
|
Sang Jin Sin
|
Mannque Rho, Sang-Jin Sin, Ismail Zahed
|
Elastic Parton-Parton Scattering from AdS/CFT
|
latex2e, 12 pages, 1 figure, missing factor i corrected. Improved
argument given
|
Phys.Lett. B466 (1999) 199-205
|
10.1016/S0370-2693(99)01118-1
|
KIAS-P99045
|
hep-th hep-ph
| null |
Using the AdS/CFT correspondence and the eikonal approximation, we evaluate
the elastic parton-parton scattering amplitude at large $N$ and strong coupling
$g^2N$ in N=4 SYM. We obtain a scattering amplitude with a Regge behavior that
unitarizes at large $\sqrt{s}$.
|
[
{
"created": "Thu, 15 Jul 1999 14:56:30 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Aug 1999 22:52:31 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Rho",
"Mannque",
""
],
[
"Sin",
"Sang-Jin",
""
],
[
"Zahed",
"Ismail",
""
]
] |
Using the AdS/CFT correspondence and the eikonal approximation, we evaluate the elastic parton-parton scattering amplitude at large $N$ and strong coupling $g^2N$ in N=4 SYM. We obtain a scattering amplitude with a Regge behavior that unitarizes at large $\sqrt{s}$.
| 7.794056
| 6.434804
| 5.964402
| 5.726152
| 6.272406
| 8.018512
| 6.706548
| 6.551513
| 6.131659
| 6.707245
| 6.602815
| 7.011774
| 6.316492
| 6.184406
| 6.821765
| 6.907474
| 6.482873
| 6.793443
| 6.491681
| 6.308245
| 6.274056
|
0908.2302
|
Supratik Pal Dr
|
Barun Kumar Pal, Supratik Pal, B. Basu
|
Mutated Hilltop Inflation : A Natural Choice for Early Universe
|
22 pages, 7 figures, 2 tables. Matches published version in JCAP
|
JCAP 1001:029,2010
|
10.1088/1475-7516/2010/01/029
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a model of inflation with a suitable potential for a single scalar
field which falls in the wide class of hilltop inflation. We derive the
analytical expressions for most of the physical quantities related to inflation
and show that all of them represent the true behavior as required from a model
of inflation. We further subject the results to observational verification by
formulating the theory of perturbations based on our model followed by an
estimation for the values of those observable parameters. Our model is found to
be in excellent agreement with observational data. Thus, the features related
to the model leads us to infer that this type of hilltop inflation may be a
natural choice for explaining the early universe.
|
[
{
"created": "Mon, 17 Aug 2009 08:04:23 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Dec 2009 09:13:02 GMT",
"version": "v2"
},
{
"created": "Wed, 27 Jan 2010 06:18:19 GMT",
"version": "v3"
}
] |
2010-01-28
|
[
[
"Pal",
"Barun Kumar",
""
],
[
"Pal",
"Supratik",
""
],
[
"Basu",
"B.",
""
]
] |
We propose a model of inflation with a suitable potential for a single scalar field which falls in the wide class of hilltop inflation. We derive the analytical expressions for most of the physical quantities related to inflation and show that all of them represent the true behavior as required from a model of inflation. We further subject the results to observational verification by formulating the theory of perturbations based on our model followed by an estimation for the values of those observable parameters. Our model is found to be in excellent agreement with observational data. Thus, the features related to the model leads us to infer that this type of hilltop inflation may be a natural choice for explaining the early universe.
| 12.22979
| 12.645671
| 11.283522
| 10.750606
| 12.067682
| 10.489277
| 12.743836
| 10.839274
| 11.146751
| 12.018904
| 11.849439
| 11.870937
| 11.581951
| 11.518471
| 11.542768
| 11.41288
| 11.468431
| 11.341442
| 11.830537
| 11.650501
| 11.552262
|
hep-th/0203142
|
Norisuke Sakai
|
Norisuke Sakai and Ryo Sugisaka
|
Winding number and non-BPS bound states of walls in nonlinear sigma
models
|
20pages, 14 figures, minor misprint corrections, figures added,
explanation of winding number added
|
Phys.Rev. D66 (2002) 045010
|
10.1103/PhysRevD.66.045010
|
TIT/HEP-475
|
hep-th
| null |
Non-supersymmetric multi-wall configurations are generically unstable. It is
proposed that the stabilization in compact space can be achieved by introducing
a winding number into the model. A BPS-like bound is studied for the energy of
configuration with nonvanishing winding number. Winding number is implemented
in an ${\cal N}=1$ supersymmetric nonlinear sigma model with two chiral scalar
fields and a bound states of BPS and anti-BPS walls is found to exist in
noncompact spaces. Even in compactified space $S^1$, this nontrivial bound
state persists above a critical radius of the compact dimension.
|
[
{
"created": "Fri, 15 Mar 2002 11:12:40 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Mar 2002 10:18:49 GMT",
"version": "v2"
},
{
"created": "Mon, 13 May 2002 05:08:15 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Sakai",
"Norisuke",
""
],
[
"Sugisaka",
"Ryo",
""
]
] |
Non-supersymmetric multi-wall configurations are generically unstable. It is proposed that the stabilization in compact space can be achieved by introducing a winding number into the model. A BPS-like bound is studied for the energy of configuration with nonvanishing winding number. Winding number is implemented in an ${\cal N}=1$ supersymmetric nonlinear sigma model with two chiral scalar fields and a bound states of BPS and anti-BPS walls is found to exist in noncompact spaces. Even in compactified space $S^1$, this nontrivial bound state persists above a critical radius of the compact dimension.
| 13.303933
| 11.862934
| 14.744509
| 12.083627
| 12.636497
| 11.397282
| 12.086148
| 11.172581
| 11.535441
| 15.391623
| 11.019502
| 11.096125
| 13.548642
| 12.065809
| 12.322768
| 11.588044
| 12.425841
| 11.884153
| 11.443516
| 13.939438
| 11.375966
|
hep-th/9907086
|
Angel Uranga
|
J. Park, R. Rabadan, A. M. Uranga
|
Orientifolding the conifold
|
52 pages, Latex 7 eps figures
|
Nucl.Phys.B570:38-80,2000
|
10.1016/S0550-3213(99)00700-2
|
FTUAM-99/22, IASSNS-HEP-99/62, IFT-UAM/CSIC-99-26
|
hep-th
| null |
In this paper we study the N=1 supersymmetric field theories realized on the
world-volume of type IIB D3-branes sitting at orientifolds of non-orbifold
singularities (conifold and generalizations). Several chiral models belong to
this family of theories. These field theories have a T-dual realization in
terms of type IIA configurations of relatively rotated NS fivebranes, D4-branes
and orientifold six-planes, with a compact $x^6$ direction, along which the
D4-branes have finite extent. We compute the spectrum on the D3-branes directly
in the type IIB picture and match the resulting field theories with those
obtained in the type IIA setup, thus providing a non-trivial check of this
T-duality. Since the usual techniques to compute the spectrum of the model and
check the cancellation of tadpoles, cannot be applied to the case orientifolds
of non-orbifold singularities, we use a different approach, and construct the
models by partially blowing-up orientifolds of C^3/(Z_2 x Z_2) and C^3/(Z_2 x
Z_3) orbifolds.
|
[
{
"created": "Mon, 12 Jul 1999 17:14:58 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Aug 1999 19:03:40 GMT",
"version": "v2"
}
] |
2009-10-09
|
[
[
"Park",
"J.",
""
],
[
"Rabadan",
"R.",
""
],
[
"Uranga",
"A. M.",
""
]
] |
In this paper we study the N=1 supersymmetric field theories realized on the world-volume of type IIB D3-branes sitting at orientifolds of non-orbifold singularities (conifold and generalizations). Several chiral models belong to this family of theories. These field theories have a T-dual realization in terms of type IIA configurations of relatively rotated NS fivebranes, D4-branes and orientifold six-planes, with a compact $x^6$ direction, along which the D4-branes have finite extent. We compute the spectrum on the D3-branes directly in the type IIB picture and match the resulting field theories with those obtained in the type IIA setup, thus providing a non-trivial check of this T-duality. Since the usual techniques to compute the spectrum of the model and check the cancellation of tadpoles, cannot be applied to the case orientifolds of non-orbifold singularities, we use a different approach, and construct the models by partially blowing-up orientifolds of C^3/(Z_2 x Z_2) and C^3/(Z_2 x Z_3) orbifolds.
| 6.71322
| 6.384342
| 7.604202
| 6.364423
| 6.707183
| 6.357888
| 6.229153
| 6.262249
| 6.131205
| 8.343904
| 6.416965
| 6.405153
| 6.915589
| 6.489625
| 6.674018
| 6.547591
| 6.444078
| 6.265944
| 6.425365
| 7.03628
| 6.348436
|
hep-th/9811200
|
Leonid Chekhov
|
L. Chekhov and K. Palamarchuk
|
Two-logarithm matrix model with an external field
|
15pp., LaTeX, no figures, reference added
|
Mod.Phys.Lett.A14:2229-2244,1999
|
10.1142/S0217732399002315
| null |
hep-th
| null |
We investigate the two-logarithm matrix model with the potential
$X\Lambda+\alpha\log(1+X)+\beta\log(1-X)$ related to an exactly solvable
Kazakov-Migdal model. In the proper normalization, using Virasoro constraints,
we prove the equivalence of this model and the Kontsevich-Penner matrix model
and construct the 1/N-expansion solution of this model.
|
[
{
"created": "Mon, 23 Nov 1998 16:12:06 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Feb 1999 12:33:07 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Chekhov",
"L.",
""
],
[
"Palamarchuk",
"K.",
""
]
] |
We investigate the two-logarithm matrix model with the potential $X\Lambda+\alpha\log(1+X)+\beta\log(1-X)$ related to an exactly solvable Kazakov-Migdal model. In the proper normalization, using Virasoro constraints, we prove the equivalence of this model and the Kontsevich-Penner matrix model and construct the 1/N-expansion solution of this model.
| 9.165684
| 7.812182
| 10.636226
| 8.370302
| 8.864897
| 8.056001
| 8.418653
| 8.439186
| 7.931092
| 12.457673
| 7.602473
| 8.723086
| 9.930675
| 8.778852
| 9.030766
| 8.744007
| 8.91639
| 8.584444
| 9.077165
| 9.895244
| 8.345236
|
hep-th/0507017
|
Herbert Hamber
|
Herbert W. Hamber and Ruth M. Williams
|
Nonlocal Effective Gravitational Field Equations and the Running of
Newton's G
|
33 pages
|
Phys.Rev.D72:044026,2005
|
10.1103/PhysRevD.72.044026
|
DAMTP-2005-59
|
hep-th astro-ph gr-qc
| null |
Non-perturbative studies of quantum gravity have recently suggested the
possibility that the strength of gravitational interactions might slowly
increase with distance. Here a set of generally covariant effective field
equations are proposed, which are intended to incorporate the gravitational,
vacuum-polarization induced, running of Newton's constant $G$. One attractive
feature of this approach is that, from an underlying quantum gravity
perspective, the resulting long distance (or large time) effective
gravitational action inherits only one adjustable parameter $\xi$, having the
units of a length, arising from dimensional transmutation in the gravitational
sector. Assuming the above scenario to be correct, some simple predictions for
the long distance corrections to the classical standard model Robertson-Walker
metric are worked out in detail, with the results formulated as much as
possible in a model-independent framework. It is found that the theory, even in
the limit of vanishing renormalized cosmological constant, generally predicts
an accelerated power-law expansion at later times $t \sim \xi \sim 1/H$.
|
[
{
"created": "Fri, 1 Jul 2005 18:45:46 GMT",
"version": "v1"
}
] |
2011-07-19
|
[
[
"Hamber",
"Herbert W.",
""
],
[
"Williams",
"Ruth M.",
""
]
] |
Non-perturbative studies of quantum gravity have recently suggested the possibility that the strength of gravitational interactions might slowly increase with distance. Here a set of generally covariant effective field equations are proposed, which are intended to incorporate the gravitational, vacuum-polarization induced, running of Newton's constant $G$. One attractive feature of this approach is that, from an underlying quantum gravity perspective, the resulting long distance (or large time) effective gravitational action inherits only one adjustable parameter $\xi$, having the units of a length, arising from dimensional transmutation in the gravitational sector. Assuming the above scenario to be correct, some simple predictions for the long distance corrections to the classical standard model Robertson-Walker metric are worked out in detail, with the results formulated as much as possible in a model-independent framework. It is found that the theory, even in the limit of vanishing renormalized cosmological constant, generally predicts an accelerated power-law expansion at later times $t \sim \xi \sim 1/H$.
| 12.887582
| 14.116311
| 12.565001
| 11.762767
| 12.740221
| 13.741874
| 14.003453
| 11.424896
| 12.143757
| 12.104857
| 12.426938
| 12.344361
| 12.417043
| 12.36498
| 12.404003
| 12.684312
| 12.722404
| 12.358628
| 12.490932
| 12.414586
| 12.049463
|
2405.20332
|
Ben Heidenreich
|
Muldrow Etheredge, Ben Heidenreich, Tom Rudelius, Ignacio Ruiz, Irene
Valenzuela
|
Taxonomy of Infinite Distance Limits
|
69 pages plus appendices, 30 figures
| null | null |
ACFI-T24-04, CERN-TH-2024-067, IFT-UAM/CSIC-23-64
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Emergent String Conjecture constrains the possible types of light towers
in infinite-distance limits in quantum gravity moduli spaces. In this paper, we
use these constraints to restrict the geometry of the scalar charge-to-mass
vectors $(-\vec{\nabla}\log m)$ of the light towers and the analogous vector
$(-\vec{\nabla}\log\Lambda_{\text{QG}})$ of the species scale. We derive
taxonomic rules that these vectors must satisfy in each duality frame. Under
certain assumptions, this allows us to classify the ways in which different
duality frames can fit together globally in the moduli space in terms of a
finite list of polytopes. Many of these polytopes arise in known string theory
compactifications, while others suggest either undiscovered corners of the
landscape or new swampland constraints.
|
[
{
"created": "Thu, 30 May 2024 17:59:05 GMT",
"version": "v1"
}
] |
2024-05-31
|
[
[
"Etheredge",
"Muldrow",
""
],
[
"Heidenreich",
"Ben",
""
],
[
"Rudelius",
"Tom",
""
],
[
"Ruiz",
"Ignacio",
""
],
[
"Valenzuela",
"Irene",
""
]
] |
The Emergent String Conjecture constrains the possible types of light towers in infinite-distance limits in quantum gravity moduli spaces. In this paper, we use these constraints to restrict the geometry of the scalar charge-to-mass vectors $(-\vec{\nabla}\log m)$ of the light towers and the analogous vector $(-\vec{\nabla}\log\Lambda_{\text{QG}})$ of the species scale. We derive taxonomic rules that these vectors must satisfy in each duality frame. Under certain assumptions, this allows us to classify the ways in which different duality frames can fit together globally in the moduli space in terms of a finite list of polytopes. Many of these polytopes arise in known string theory compactifications, while others suggest either undiscovered corners of the landscape or new swampland constraints.
| 11.285398
| 9.213934
| 12.136642
| 9.422513
| 9.313964
| 8.941918
| 8.950862
| 8.780966
| 9.167002
| 12.891752
| 8.50295
| 9.563665
| 10.420628
| 9.937694
| 9.827777
| 9.813962
| 9.956004
| 9.635359
| 10.166376
| 10.783547
| 10.160173
|
0705.1645
|
Domenico Orlando
|
R. Dijkgraaf, D. Orlando, S. Reffert
|
Dimer Models, Free Fermions and Super Quantum Mechanics
|
minor corrections, reference added
| null | null | null |
hep-th math.QA
| null |
This note relates topics in statistical mechanics, graph theory and
combinatorics, lattice quantum field theory, super quantum mechanics and string
theory. We give a precise relation between the dimer model on a graph embedded
on a torus and the massless free Majorana fermion living on the same lattice. A
loop expansion of the fermion determinant is performed, where the loops turn
out to be compositions of two perfect matchings. These loop states are sorted
into co-chain groups using categorification techniques similar to the ones used
for categorifying knot polynomials. The Euler characteristic of the resulting
co-chain complex recovers the Newton polynomial of the dimer model. We
re-interpret this system as supersymmetric quantum mechanics, where
configurations with vanishing net winding number form the ground states.
Finally, we make use of the quiver gauge theory - dimer model correspondence to
obtain an interpretation of the loops in terms of the physics of D-branes
probing a toric Calabi-Yau singularity.
|
[
{
"created": "Fri, 11 May 2007 11:32:32 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Nov 2007 13:29:06 GMT",
"version": "v2"
}
] |
2007-11-12
|
[
[
"Dijkgraaf",
"R.",
""
],
[
"Orlando",
"D.",
""
],
[
"Reffert",
"S.",
""
]
] |
This note relates topics in statistical mechanics, graph theory and combinatorics, lattice quantum field theory, super quantum mechanics and string theory. We give a precise relation between the dimer model on a graph embedded on a torus and the massless free Majorana fermion living on the same lattice. A loop expansion of the fermion determinant is performed, where the loops turn out to be compositions of two perfect matchings. These loop states are sorted into co-chain groups using categorification techniques similar to the ones used for categorifying knot polynomials. The Euler characteristic of the resulting co-chain complex recovers the Newton polynomial of the dimer model. We re-interpret this system as supersymmetric quantum mechanics, where configurations with vanishing net winding number form the ground states. Finally, we make use of the quiver gauge theory - dimer model correspondence to obtain an interpretation of the loops in terms of the physics of D-branes probing a toric Calabi-Yau singularity.
| 10.160173
| 11.388125
| 11.832198
| 10.239052
| 10.89332
| 10.875787
| 11.430913
| 10.458951
| 9.915831
| 13.690245
| 10.1174
| 9.363151
| 10.296051
| 9.674931
| 9.454943
| 9.55431
| 9.654251
| 9.299223
| 9.385368
| 10.300685
| 9.47284
|
2204.13636
|
Yuan Sun
|
Song He, Hao Ouyang, Yuan Sun
|
Note on $T\bar{T}$ deformed matrix models and JT supergravity duals
|
27 pages. A replacement of v1 whose PDF cannot be opened. References
added
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
In this work we calculate the partition functions of $\mathcal{N}=1$ type 0A
and 0B JT supergravity (SJT) on 2D surfaces of arbitrary genus with multiple
finite cut-off boundaries, based on the $T\bar{T}$ deformed super-Schwarzian
theories. In terms of SJT/matrix model duality, we compute the corresponding
correlation functions in the $T\bar{T}$ deformed matrix model side by using
topological recursion relations as well as the transformation properties of
topological recursion relations under $T\bar{T}$ deformation. We check that the
partition functions finite cut-off 0A and 0B SJT on generic 2D surfaces match
the associated correlation functions in $T\bar{T}$ deformed matrix models
respectively.
|
[
{
"created": "Thu, 28 Apr 2022 16:54:21 GMT",
"version": "v1"
},
{
"created": "Thu, 5 May 2022 14:32:02 GMT",
"version": "v2"
}
] |
2022-05-06
|
[
[
"He",
"Song",
""
],
[
"Ouyang",
"Hao",
""
],
[
"Sun",
"Yuan",
""
]
] |
In this work we calculate the partition functions of $\mathcal{N}=1$ type 0A and 0B JT supergravity (SJT) on 2D surfaces of arbitrary genus with multiple finite cut-off boundaries, based on the $T\bar{T}$ deformed super-Schwarzian theories. In terms of SJT/matrix model duality, we compute the corresponding correlation functions in the $T\bar{T}$ deformed matrix model side by using topological recursion relations as well as the transformation properties of topological recursion relations under $T\bar{T}$ deformation. We check that the partition functions finite cut-off 0A and 0B SJT on generic 2D surfaces match the associated correlation functions in $T\bar{T}$ deformed matrix models respectively.
| 7.283355
| 6.726117
| 7.613538
| 5.811659
| 6.874918
| 6.535728
| 6.612738
| 6.451601
| 6.382167
| 9.184808
| 6.33654
| 6.958416
| 6.731238
| 6.456153
| 6.334416
| 6.574678
| 6.462113
| 6.537189
| 6.52361
| 6.674402
| 6.461682
|
1005.4607
|
Tetsuji Kimura
|
Tetsuji Kimura
|
Non-supersymmetric Extremal RN-AdS Black Holes in N=2 Gauged
Supergravity
|
23 pages, accepted version in JHEP
|
JHEP 1009:061,2010
|
10.1007/JHEP09(2010)061
|
KEK-TH-1367
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate extremal Reissner-Nordstrom-AdS black holes in
four-dimensional N=2 abelian gauged supergravity. We find a new attractor
equation which is not reduced to the one in the asymptotically flat spacetime.
Focusing on so-called the T^3-model with a single neutral vector multiplet, we
obtain non-supersymmetric extremal Reissner-Nordstrom-AdS black hole solutions
with regular event horizon in the D0-D4 and the D2-D6 charge configurations.
The negative cosmological constant emerges even without the Fayet-Iliopoulos
parameters. Furthermore, we also argue the formal description of the
non-supersymmetric black hole solutions of the T^3-model and the STU-model in
generic configurations.
|
[
{
"created": "Tue, 25 May 2010 15:33:19 GMT",
"version": "v1"
},
{
"created": "Sat, 29 May 2010 07:12:46 GMT",
"version": "v2"
},
{
"created": "Wed, 15 Sep 2010 19:15:12 GMT",
"version": "v3"
}
] |
2014-11-21
|
[
[
"Kimura",
"Tetsuji",
""
]
] |
We investigate extremal Reissner-Nordstrom-AdS black holes in four-dimensional N=2 abelian gauged supergravity. We find a new attractor equation which is not reduced to the one in the asymptotically flat spacetime. Focusing on so-called the T^3-model with a single neutral vector multiplet, we obtain non-supersymmetric extremal Reissner-Nordstrom-AdS black hole solutions with regular event horizon in the D0-D4 and the D2-D6 charge configurations. The negative cosmological constant emerges even without the Fayet-Iliopoulos parameters. Furthermore, we also argue the formal description of the non-supersymmetric black hole solutions of the T^3-model and the STU-model in generic configurations.
| 6.399307
| 6.268592
| 7.427604
| 5.732039
| 6.073045
| 6.2447
| 6.059093
| 6.40046
| 5.838713
| 7.92943
| 5.756597
| 5.751426
| 6.510792
| 5.651033
| 5.923869
| 6.048862
| 5.90745
| 5.801246
| 5.860248
| 6.363513
| 5.784156
|
0906.1258
|
Juan Mateos Guilarte
|
A. Alonso Izquierdo, M. A. Gonzalez Leon, J. Mateos Guilarte, M. J.
Senosiain
|
On the semiclassical mass of ${\mathbb S}^2$-kinks
|
RevTex file, 15 pages, 2 figures. Version to appear in Journal of
Physics A
| null |
10.1088/1751-8113/42/38/385403
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
One-loop mass shifts to the classical masses of stable kinks arising in a
massive non-linear ${\mathbb S}^2$-sigma model are computed. Ultraviolet
divergences are controlled using the heat kernel/zeta function regularization
method. A comparison between the results achieved from exact and
high-temperature asymptotic heat traces is analyzed in depth.
|
[
{
"created": "Sat, 6 Jun 2009 09:42:18 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Aug 2009 07:14:03 GMT",
"version": "v2"
}
] |
2015-05-13
|
[
[
"Izquierdo",
"A. Alonso",
""
],
[
"Leon",
"M. A. Gonzalez",
""
],
[
"Guilarte",
"J. Mateos",
""
],
[
"Senosiain",
"M. J.",
""
]
] |
One-loop mass shifts to the classical masses of stable kinks arising in a massive non-linear ${\mathbb S}^2$-sigma model are computed. Ultraviolet divergences are controlled using the heat kernel/zeta function regularization method. A comparison between the results achieved from exact and high-temperature asymptotic heat traces is analyzed in depth.
| 19.612646
| 12.585935
| 15.900298
| 13.172546
| 14.040143
| 12.342101
| 12.509686
| 12.206713
| 12.28266
| 15.250539
| 13.533775
| 14.627667
| 16.159935
| 14.524392
| 14.865151
| 15.08611
| 14.437523
| 14.629171
| 14.814512
| 17.732553
| 16.062075
|
1611.08601
|
Alexandre Belin
|
Alexandre Belin, Ben Freivogel, Robert A. Jefferson, Laurens Kabir
|
Sub-AdS Scale Locality in AdS$_3$/CFT$_2$
|
19 pages
| null |
10.1007/JHEP04(2017)147
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate sub-AdS scale locality in a weakly coupled toy model of the
AdS$_3$/CFT$_2$ correspondence. We find that this simple model has the correct
density of states at low and high energies to be dual to Einstein gravity
coupled to matter in AdS$_3$. Bulk correlation functions also have the correct
behavior at leading order in the large $N$ expansion, but non-local effects
emerge at order $1/N$. Our analysis leads to the conjecture that any large $N$
CFT$_2$ that is modular invariant and has the right low-energy density of
states is dual to a gravitational theory with sub-AdS scale locality.
|
[
{
"created": "Fri, 25 Nov 2016 21:00:01 GMT",
"version": "v1"
}
] |
2017-05-24
|
[
[
"Belin",
"Alexandre",
""
],
[
"Freivogel",
"Ben",
""
],
[
"Jefferson",
"Robert A.",
""
],
[
"Kabir",
"Laurens",
""
]
] |
We investigate sub-AdS scale locality in a weakly coupled toy model of the AdS$_3$/CFT$_2$ correspondence. We find that this simple model has the correct density of states at low and high energies to be dual to Einstein gravity coupled to matter in AdS$_3$. Bulk correlation functions also have the correct behavior at leading order in the large $N$ expansion, but non-local effects emerge at order $1/N$. Our analysis leads to the conjecture that any large $N$ CFT$_2$ that is modular invariant and has the right low-energy density of states is dual to a gravitational theory with sub-AdS scale locality.
| 6.653273
| 5.782202
| 7.320117
| 6.191608
| 5.914086
| 5.737259
| 5.929584
| 5.784201
| 6.053844
| 7.186554
| 5.98073
| 6.305604
| 6.743878
| 6.146302
| 6.497191
| 6.275237
| 6.292158
| 6.339458
| 6.440329
| 6.591027
| 6.095426
|
1305.1633
|
Kenneth Intriligator
|
Kenneth Intriligator and Nathan Seiberg
|
Aspects of 3d N=2 Chern-Simons-Matter Theories
|
76 pages, 1 figure. v2: added references
| null |
10.1007/JHEP07(2013)079
|
UCSD-PTH-12-17
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We comment on various aspects of the the dynamics of 3d N=2 Chern-Simons
gauge theories and their possible phases. Depending on the matter content, real
masses and FI parameters, there can be non-compact Higgs or Coulomb branches,
compact Higgs or Coulomb branches, and isolated vacua. We compute the Witten
index of the theories, and show that it does not change when the system
undergoes a phase transition. We study aspects of monopole operators and
solitons in these theories, and clarify subtleties in the soliton collective
coordinate quantization. We show that solitons are compatible with a mirror
symmetry exchange of Higgs and Coulomb branches, with BPS solitons on one
branch related to the modulus of the other. Among other results, we show how to
derive Aharony duality from Giveon-Kutasov duality.
|
[
{
"created": "Tue, 7 May 2013 20:01:50 GMT",
"version": "v1"
},
{
"created": "Mon, 20 May 2013 20:50:00 GMT",
"version": "v2"
}
] |
2015-06-15
|
[
[
"Intriligator",
"Kenneth",
""
],
[
"Seiberg",
"Nathan",
""
]
] |
We comment on various aspects of the the dynamics of 3d N=2 Chern-Simons gauge theories and their possible phases. Depending on the matter content, real masses and FI parameters, there can be non-compact Higgs or Coulomb branches, compact Higgs or Coulomb branches, and isolated vacua. We compute the Witten index of the theories, and show that it does not change when the system undergoes a phase transition. We study aspects of monopole operators and solitons in these theories, and clarify subtleties in the soliton collective coordinate quantization. We show that solitons are compatible with a mirror symmetry exchange of Higgs and Coulomb branches, with BPS solitons on one branch related to the modulus of the other. Among other results, we show how to derive Aharony duality from Giveon-Kutasov duality.
| 7.926593
| 8.270377
| 9.954354
| 7.435214
| 8.170828
| 7.443457
| 7.643483
| 7.640706
| 7.529649
| 9.44598
| 7.699548
| 7.826406
| 8.341233
| 7.656271
| 7.554464
| 7.830972
| 7.645582
| 7.589691
| 7.634932
| 8.471932
| 7.576321
|
1601.04708
|
Diego Trancanelli
|
Alberto Faraggi, Leopoldo A. Pando Zayas, Guillermo A. Silva, Diego
Trancanelli
|
Toward precision holography with supersymmetric Wilson loops
|
5 pages; v2: 43 pages, long version fixing a mistake and altering the
conclusions
|
JHEP 1604:053,2016
|
10.1007/JHEP04(2016)053
|
MCTP-16-03
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider certain 1/4 BPS Wilson loop operators in SU(N) ${\cal N}=4$
supersymmetric Yang-Mills theory, whose expectation value can be computed
exactly via supersymmetric localization. Holographically, these operators are
mapped to fundamental strings in AdS5 x S5. The string on-shell action
reproduces the large N and large coupling limit of the gauge theory expectation
value and, according to the AdS/CFT correspondence, there should also be a
precise match between subleading corrections to these limits. We perform a test
of such match at next-to-leading order in string theory, by deriving the
spectrum of quantum fluctuations around the classical string solution and by
computing the corresponding 1-loop effective action. We discuss in detail the
supermultiplet structure of the fluctuations. To remove a possible source of
ambiguity in the ghost zero mode measure, we compare the 1/4 BPS configuration
with the 1/2 BPS one, dual to a circular Wilson loop. We find a discrepancy
between the string theory result and the gauge theory prediction, confirming a
previous result in the literature. We are able to track the modes from which
this discrepancy originates, as well as the modes that by themselves would give
the expected result.
|
[
{
"created": "Mon, 18 Jan 2016 21:00:04 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Feb 2016 20:25:00 GMT",
"version": "v2"
}
] |
2016-04-12
|
[
[
"Faraggi",
"Alberto",
""
],
[
"Zayas",
"Leopoldo A. Pando",
""
],
[
"Silva",
"Guillermo A.",
""
],
[
"Trancanelli",
"Diego",
""
]
] |
We consider certain 1/4 BPS Wilson loop operators in SU(N) ${\cal N}=4$ supersymmetric Yang-Mills theory, whose expectation value can be computed exactly via supersymmetric localization. Holographically, these operators are mapped to fundamental strings in AdS5 x S5. The string on-shell action reproduces the large N and large coupling limit of the gauge theory expectation value and, according to the AdS/CFT correspondence, there should also be a precise match between subleading corrections to these limits. We perform a test of such match at next-to-leading order in string theory, by deriving the spectrum of quantum fluctuations around the classical string solution and by computing the corresponding 1-loop effective action. We discuss in detail the supermultiplet structure of the fluctuations. To remove a possible source of ambiguity in the ghost zero mode measure, we compare the 1/4 BPS configuration with the 1/2 BPS one, dual to a circular Wilson loop. We find a discrepancy between the string theory result and the gauge theory prediction, confirming a previous result in the literature. We are able to track the modes from which this discrepancy originates, as well as the modes that by themselves would give the expected result.
| 5.38717
| 5.686173
| 6.423851
| 5.773521
| 5.727659
| 5.954918
| 5.979239
| 5.401949
| 5.430684
| 6.669485
| 5.481239
| 5.55239
| 5.824188
| 5.501949
| 5.411462
| 5.666686
| 5.619327
| 5.433675
| 5.45249
| 5.666839
| 5.441205
|
1707.04816
|
Allen Stern
|
A. Pinzul and A. Stern
|
Non-commutative $AdS_2/CFT_1$ duality: the case of massless scalar
fields
|
25 pages
|
Phys. Rev. D 96, 066019 (2017)
|
10.1103/PhysRevD.96.066019
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show how to construct correlators for the $CFT_1$ which is dual to
non-commutative $AdS_2$ ($ncAdS_2$). We do it explicitly for the example of the
massless scalar field on Euclidean $ncAdS_2$. $ncAdS_2$ is the quantization of
$AdS_2$ that preserves all the isometries. It is described in terms of the
unitary irreducible representations, more specifically discrete series
representations, of $so(2,1)$. We write down symmetric differential
representations for the discrete series, and then map them to functions on the
Moyal-Weyl plane. The Moyal-Weyl plane has a large distance limit which can be
identified with the boundary of $ncAdS_2$. Killing vectors can be constructed
on $ncAdS_2$ which reduce to the $AdS_2$ Killing vectors near the boundary. We
therefore conclude that $ncAdS_2$ is asymptotically $AdS_2$, and so the
$AdS/CFT$ correspondence should apply. For the example of the massless scalar
field on Euclidean $ncAdS_2$, the on-shell action, and resulting two-point
function for the boundary theory, are computed to leading order in the
noncommutativity parameter. The results agree with those of the commutative
scalar field theory, up to a field redefinition.
|
[
{
"created": "Sun, 16 Jul 2017 04:17:43 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Aug 2017 18:11:02 GMT",
"version": "v2"
},
{
"created": "Thu, 18 Jan 2018 20:25:51 GMT",
"version": "v3"
}
] |
2018-01-22
|
[
[
"Pinzul",
"A.",
""
],
[
"Stern",
"A.",
""
]
] |
We show how to construct correlators for the $CFT_1$ which is dual to non-commutative $AdS_2$ ($ncAdS_2$). We do it explicitly for the example of the massless scalar field on Euclidean $ncAdS_2$. $ncAdS_2$ is the quantization of $AdS_2$ that preserves all the isometries. It is described in terms of the unitary irreducible representations, more specifically discrete series representations, of $so(2,1)$. We write down symmetric differential representations for the discrete series, and then map them to functions on the Moyal-Weyl plane. The Moyal-Weyl plane has a large distance limit which can be identified with the boundary of $ncAdS_2$. Killing vectors can be constructed on $ncAdS_2$ which reduce to the $AdS_2$ Killing vectors near the boundary. We therefore conclude that $ncAdS_2$ is asymptotically $AdS_2$, and so the $AdS/CFT$ correspondence should apply. For the example of the massless scalar field on Euclidean $ncAdS_2$, the on-shell action, and resulting two-point function for the boundary theory, are computed to leading order in the noncommutativity parameter. The results agree with those of the commutative scalar field theory, up to a field redefinition.
| 5.19467
| 4.866989
| 5.652632
| 4.872293
| 5.164365
| 5.23728
| 5.184243
| 4.843024
| 5.012464
| 5.365573
| 4.955096
| 4.874609
| 5.187218
| 4.942918
| 5.015848
| 5.005591
| 4.949592
| 4.880015
| 4.925479
| 5.206379
| 4.836471
|
2212.09139
|
Konstantinos Rigatos
|
Konstantinos C. Rigatos
|
Spin-$2$ operators in AdS$_2$/CFT$_1$
|
v1: 22 pages, 1 brane scan, 1 quiver diagram, v2: added references,
v3: added references and discussion, v4: published version
| null |
10.1007/JHEP06(2023)026
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We study spin-2 fluctuations around an infinite family of warped backgrounds
of the form $\text{AdS}_2 \times \text{S}^2 \times \text{T}^4 \times \text{S}^1
\times \mathcal{I}_{\rho}$ in the type IIB theory, which possesses
$\mathcal{N}=4$ supersymmetry. We find that there exists a special set of
solutions which is independent of the background data; the minimal universal
class. This particular class of solutions corresponds to operators with scaling
dimension $\Delta = \ell + 1$, with $\ell$ being the quantum number of the
angular-momentum on the $\text{S}^2$. Using the mode solutions of these spin-2
states, we compute the central charge of the dual field theories. We comment on
the relation of our results to the seed $\text{AdS}_3 \times \text{S}^2 \times
\text{T}^4 \times \mathcal{I}_{\rho}$ backgrounds.
|
[
{
"created": "Sun, 18 Dec 2022 18:03:45 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Dec 2022 09:48:30 GMT",
"version": "v2"
},
{
"created": "Sat, 18 Mar 2023 04:48:25 GMT",
"version": "v3"
},
{
"created": "Thu, 8 Jun 2023 00:20:34 GMT",
"version": "v4"
}
] |
2023-06-09
|
[
[
"Rigatos",
"Konstantinos C.",
""
]
] |
We study spin-2 fluctuations around an infinite family of warped backgrounds of the form $\text{AdS}_2 \times \text{S}^2 \times \text{T}^4 \times \text{S}^1 \times \mathcal{I}_{\rho}$ in the type IIB theory, which possesses $\mathcal{N}=4$ supersymmetry. We find that there exists a special set of solutions which is independent of the background data; the minimal universal class. This particular class of solutions corresponds to operators with scaling dimension $\Delta = \ell + 1$, with $\ell$ being the quantum number of the angular-momentum on the $\text{S}^2$. Using the mode solutions of these spin-2 states, we compute the central charge of the dual field theories. We comment on the relation of our results to the seed $\text{AdS}_3 \times \text{S}^2 \times \text{T}^4 \times \mathcal{I}_{\rho}$ backgrounds.
| 5.291107
| 4.510405
| 5.521479
| 4.800054
| 5.0425
| 4.963753
| 5.138747
| 4.908584
| 4.829271
| 5.867545
| 4.635919
| 4.923862
| 5.322899
| 4.906502
| 5.053084
| 5.065555
| 4.865728
| 4.981859
| 5.006699
| 5.450289
| 4.900952
|
1909.10550
|
Seyed Morteza Hosseini
|
Seyed Morteza Hosseini, Kiril Hristov, Alberto Zaffaroni
|
Gluing gravitational blocks for AdS black holes
|
44 pages, v2: Published version, (6.17) corrected; v3: typos
corrected
|
JHEP12(2019)168
|
10.1007/JHEP12(2019)168
|
IPMU19-0132
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We provide a unifying entropy functional and an extremization principle for
black holes and black strings in AdS$_4\times S^7$ and AdS$_5\times S^5$ with
arbitrary rotation and generic electric and magnetic charges. This is done by
gluing gravitational blocks, basic building blocks that are directly inspired
by the holomorphic blocks appearing in the factorization of supersymmetric
partition functions in three and four dimensions. We also provide an explicit
realization of the attractor mechanism by identifying the values of the scalar
fields at the horizon with the critical points of the entropy functional. We
give examples based on dyonic rotating black holes with a twist in AdS$_4\times
S^7$, rotating black strings in AdS$_5\times S^5$, dyonic Kerr-Newman black
holes in AdS$_4\times S^7$ and Kerr-Newman black holes in AdS$_5\times S^5$. In
particular, our entropy functional extends existing results by adding rotation
to the twisted black holes in AdS$_4$ and by adding flavor magnetic charges for
the Kerr-Newman black holes in AdS$_4$. We also discuss generalizations to
higher-dimensional black objects.
|
[
{
"created": "Mon, 23 Sep 2019 18:14:42 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Jan 2020 14:42:26 GMT",
"version": "v2"
},
{
"created": "Sat, 22 May 2021 16:25:43 GMT",
"version": "v3"
}
] |
2021-05-25
|
[
[
"Hosseini",
"Seyed Morteza",
""
],
[
"Hristov",
"Kiril",
""
],
[
"Zaffaroni",
"Alberto",
""
]
] |
We provide a unifying entropy functional and an extremization principle for black holes and black strings in AdS$_4\times S^7$ and AdS$_5\times S^5$ with arbitrary rotation and generic electric and magnetic charges. This is done by gluing gravitational blocks, basic building blocks that are directly inspired by the holomorphic blocks appearing in the factorization of supersymmetric partition functions in three and four dimensions. We also provide an explicit realization of the attractor mechanism by identifying the values of the scalar fields at the horizon with the critical points of the entropy functional. We give examples based on dyonic rotating black holes with a twist in AdS$_4\times S^7$, rotating black strings in AdS$_5\times S^5$, dyonic Kerr-Newman black holes in AdS$_4\times S^7$ and Kerr-Newman black holes in AdS$_5\times S^5$. In particular, our entropy functional extends existing results by adding rotation to the twisted black holes in AdS$_4$ and by adding flavor magnetic charges for the Kerr-Newman black holes in AdS$_4$. We also discuss generalizations to higher-dimensional black objects.
| 5.783777
| 5.156265
| 6.06993
| 5.426132
| 4.943953
| 5.102593
| 5.311973
| 4.958661
| 5.27281
| 6.096323
| 5.191039
| 5.186181
| 5.799108
| 5.483847
| 5.455716
| 5.164813
| 5.358224
| 5.278528
| 5.556741
| 5.665744
| 5.36562
|
1409.2949
|
KaiXi Feng
|
Kaixi Feng and Taotao Qiu
|
Curvaton with Nonminimal Derivative Coupling to Gravity II: Full
Perturbation Analysis
|
Published in Phys.Rev. D90 (2014) 123508
|
Phys. Rev. D 90, 123508 (2014)
|
10.1103/PhysRevD.90.123508
| null |
hep-th astro-ph.HE gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In our previous work \cite{Feng:2013pba}, we have shown a curvaton model
where the curvaton has a nonminimal derivative coupling to gravity. Such a
coupling could bring us scale-invariance of the perturbations for wide range
constant values of the equation-of-state of the cosmic background at the early
time. In this paper, we continue our study by fully analyzing its perturbations
up to the third order. Apart from the usual 2-point correlation function that
has already been calculated in \cite{Feng:2013pba}, we have also taken into
account the 3-point correlation functions including pure scalar part, pure
tensor part, as well as the cross-correlations between scalar and tensor
perturbation modes. We find that for pure scalar part, the 3-point correlation
functions can generate non-Gaussianities that fits the PLANCK data very well.
For pure tensor and mixed parts, the shape functions have peaks at squeezed and
equilateral limits respectively, responsible for sizable $f_{NL}^{sqz}$ and
$f_{NL}^{eql}$, which could be tested by the future observatioanl data.
|
[
{
"created": "Wed, 10 Sep 2014 03:47:47 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Sep 2014 15:56:46 GMT",
"version": "v2"
},
{
"created": "Tue, 23 Sep 2014 14:39:01 GMT",
"version": "v3"
},
{
"created": "Wed, 10 Dec 2014 08:15:08 GMT",
"version": "v4"
}
] |
2014-12-17
|
[
[
"Feng",
"Kaixi",
""
],
[
"Qiu",
"Taotao",
""
]
] |
In our previous work \cite{Feng:2013pba}, we have shown a curvaton model where the curvaton has a nonminimal derivative coupling to gravity. Such a coupling could bring us scale-invariance of the perturbations for wide range constant values of the equation-of-state of the cosmic background at the early time. In this paper, we continue our study by fully analyzing its perturbations up to the third order. Apart from the usual 2-point correlation function that has already been calculated in \cite{Feng:2013pba}, we have also taken into account the 3-point correlation functions including pure scalar part, pure tensor part, as well as the cross-correlations between scalar and tensor perturbation modes. We find that for pure scalar part, the 3-point correlation functions can generate non-Gaussianities that fits the PLANCK data very well. For pure tensor and mixed parts, the shape functions have peaks at squeezed and equilateral limits respectively, responsible for sizable $f_{NL}^{sqz}$ and $f_{NL}^{eql}$, which could be tested by the future observatioanl data.
| 7.506433
| 8.286505
| 7.321716
| 7.273858
| 8.318414
| 8.179856
| 7.904027
| 7.49908
| 7.408713
| 7.829628
| 7.473701
| 7.328411
| 7.354681
| 7.156137
| 7.367724
| 7.229272
| 7.346718
| 7.174044
| 7.188357
| 7.17007
| 7.091824
|
1010.0700
|
Massimo Siani
|
Massimo Siani
|
Holographic Superconductors and Higher Curvature Corrections
|
16 pages, 6 figures; v2: published version plus one reference added
|
JHEP 1012:035,2010
|
10.1007/JHEP12(2010)035
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study a fully backreacted holographic model of a four-dimensional
superconductor by including a higher curvature interaction in the bulk action.
We study how the critical temperature and the field theory condensate vary in
this model and conclude that positive higher curvature couplings make the
condensation harder. We also compute the conductivity, finding significant
deviations from the conjectured universal frequency gap to critical temperature
ratio.
|
[
{
"created": "Mon, 4 Oct 2010 20:35:51 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Nov 2011 10:09:20 GMT",
"version": "v2"
}
] |
2015-03-17
|
[
[
"Siani",
"Massimo",
""
]
] |
We study a fully backreacted holographic model of a four-dimensional superconductor by including a higher curvature interaction in the bulk action. We study how the critical temperature and the field theory condensate vary in this model and conclude that positive higher curvature couplings make the condensation harder. We also compute the conductivity, finding significant deviations from the conjectured universal frequency gap to critical temperature ratio.
| 12.014099
| 9.478378
| 11.088162
| 8.733796
| 8.722887
| 8.487044
| 9.715807
| 9.694013
| 8.620329
| 12.463033
| 8.952112
| 9.995938
| 10.997892
| 10.258716
| 9.611572
| 9.707972
| 9.609535
| 9.620677
| 9.534917
| 10.85593
| 10.077384
|
hep-th/9903041
|
Piet Termonia
|
G. Dall'Agata, D. Fabbri, C. Fraser, P. Fre', P. Termonia, M.
Trigiante
|
The singleton action action from the supermembrane
|
9 pages, 1 figure. Talk given by P. Termonia at the TMR meeting of
the project "Quantum Aspects of Gauge Theories, Supersymmetry and
Unification", Corfu '98, TMR contract ERBFMRX-CT96-0045
| null |
10.1007/BFb0104253
|
DDFT 99/12
|
hep-th
| null |
We derive the free Osp(8|4) singleton action by sending the M2brane to the
Minkowski boundary of an AdS_4x{\cal M}_7 background. We do this by means of
the solvable Lie algebra parametrization of the coset space. We also give some
comments on singleton actions from membranes on AdS_4xG/H backgrounds.
|
[
{
"created": "Thu, 4 Mar 1999 10:45:58 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Dall'Agata",
"G.",
""
],
[
"Fabbri",
"D.",
""
],
[
"Fraser",
"C.",
""
],
[
"Fre'",
"P.",
""
],
[
"Termonia",
"P.",
""
],
[
"Trigiante",
"M.",
""
]
] |
We derive the free Osp(8|4) singleton action by sending the M2brane to the Minkowski boundary of an AdS_4x{\cal M}_7 background. We do this by means of the solvable Lie algebra parametrization of the coset space. We also give some comments on singleton actions from membranes on AdS_4xG/H backgrounds.
| 12.367462
| 10.645546
| 14.889311
| 10.491059
| 9.973418
| 11.172208
| 11.216178
| 11.024817
| 11.694307
| 17.223169
| 11.02584
| 11.746507
| 12.712559
| 11.275737
| 11.146355
| 11.091658
| 10.964317
| 11.050138
| 11.525866
| 13.098661
| 11.566213
|
2311.05441
|
Yi-Nan Wang
|
Jisheng Mu, Yi-Nan Wang, Hao N. Zhang
|
5d SCFTs from Isolated Complete Intersection Singularities
|
v2, 87 pages
| null | null | null |
hep-th math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we explore the zoo of 5d superconformal field theories (SCFTs)
constructed from M-theory on Isolated Complete Intersection Singularities
(ICIS). We systematically investigate the crepant resolution of such
singularities, and obtain a classification of rank $\leqslant 10$ models with a
smooth crepant resolution and smooth exceptional divisors, as well as a number
of infinite sequences with the same smoothness properties. For these models, we
study their Coulomb branch properties and compute the flavor symmetry algebra
from the resolved CY3 and/or the magnetic quiver. We check the validity of the
conjectures relating the properties of the 5d SCFT and the 4d $\mathcal{N}=2$
SCFT from IIB superstring on the same singularity. When the 4d $\mathcal{N}=2$
SCFT has a Lagrangian quiver gauge theory description, one can obtain the
magnetic quiver of the 5d theory by gauging flavor symmetry, which encodes the
5d Higgs branch information. Regarding the smoothness of the crepant resolution
and integrality of 4d Coulomb branch spectrum, we find examples with a smooth
resolved CY3 and smooth exceptional divisors, but fractional 4d Coulomb branch
spectrum. Moreover, we compute the discrete (higher)-symmetries of the 5d/4d
SCFTs from the link topology for a few examples.
|
[
{
"created": "Thu, 9 Nov 2023 15:26:50 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Nov 2023 13:16:13 GMT",
"version": "v2"
}
] |
2023-11-29
|
[
[
"Mu",
"Jisheng",
""
],
[
"Wang",
"Yi-Nan",
""
],
[
"Zhang",
"Hao N.",
""
]
] |
In this paper, we explore the zoo of 5d superconformal field theories (SCFTs) constructed from M-theory on Isolated Complete Intersection Singularities (ICIS). We systematically investigate the crepant resolution of such singularities, and obtain a classification of rank $\leqslant 10$ models with a smooth crepant resolution and smooth exceptional divisors, as well as a number of infinite sequences with the same smoothness properties. For these models, we study their Coulomb branch properties and compute the flavor symmetry algebra from the resolved CY3 and/or the magnetic quiver. We check the validity of the conjectures relating the properties of the 5d SCFT and the 4d $\mathcal{N}=2$ SCFT from IIB superstring on the same singularity. When the 4d $\mathcal{N}=2$ SCFT has a Lagrangian quiver gauge theory description, one can obtain the magnetic quiver of the 5d theory by gauging flavor symmetry, which encodes the 5d Higgs branch information. Regarding the smoothness of the crepant resolution and integrality of 4d Coulomb branch spectrum, we find examples with a smooth resolved CY3 and smooth exceptional divisors, but fractional 4d Coulomb branch spectrum. Moreover, we compute the discrete (higher)-symmetries of the 5d/4d SCFTs from the link topology for a few examples.
| 7.238785
| 6.942132
| 8.689231
| 6.777851
| 6.493023
| 6.9038
| 7.227258
| 6.564663
| 6.570673
| 8.208459
| 6.434669
| 6.588879
| 7.013593
| 6.655143
| 6.450279
| 6.547134
| 6.507218
| 6.715297
| 6.662717
| 7.118724
| 6.6863
|
hep-th/9602037
|
J. C. Gallardo
|
Jose F. Cari\~nena and J. Nasarre
|
Presymplectic Geometry and Fermat's Principle for anisotropic media
|
LaTeX file, no figures. To appear in J. Phys. A: Math. and Gen
|
J.Phys.A29:1695-1702,1996
|
10.1088/0305-4470/29/8/017
|
DFTUZ 96/06
|
hep-th dg-ga math.DG
| null |
The tools of presymplectic geometry are used to study light rays trajectories
in anisotropic media.
|
[
{
"created": "Thu, 8 Feb 1996 09:40:12 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Cariñena",
"Jose F.",
""
],
[
"Nasarre",
"J.",
""
]
] |
The tools of presymplectic geometry are used to study light rays trajectories in anisotropic media.
| 25.310009
| 26.325258
| 18.084497
| 16.870596
| 17.624729
| 18.165821
| 25.665678
| 19.887423
| 22.068674
| 20.03196
| 21.061319
| 23.197222
| 22.199829
| 21.350908
| 21.212997
| 21.90048
| 21.95731
| 22.177784
| 24.040323
| 25.742638
| 22.095387
|
0712.3779
|
Jean-Luc Lehners
|
Jean-Luc Lehners, Paul J. Steinhardt
|
Non-Gaussian Density Fluctuations from Entropically Generated Curvature
Perturbations in Ekpyrotic Models
|
5 pages, 2 figures. Sign error corrected and results generalized
|
Phys.Rev.D77:063533,2008; Erratum-ibid.D79:129903,2009
|
10.1103/PhysRevD.77.063533 10.1103/PhysRevD.79.129903
| null |
hep-th astro-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyze the non-gaussian density perturbations generated in
ekpyrotic/cyclic models based on heterotic M-theory. In this picture, two
scalar fields produce nearly scale-invariant entropic perturbations during an
ekpyrotic phase that are converted into curvature modes {\it after the
ekpyrotic phase is complete} and just before the big bang. Both intrinsic
non-linearity in the entropy perturbation and the conversion process contribute
to non-gaussianity. The range of the non-gaussianity parameter $f_{NL}$ depends
on how gradual the conversion process is and the steepness of the scalar field
potential during the ekpyrotic phase. Although a wider range is possible, in
principle, natural values of the ekpyrotic parameters combined with a gradual
conversion process lead to values of $-60 \lesssim f_{NL} \lesssim +80$,
typically much greater than slow-roll inflation but within the current
observational bounds.
|
[
{
"created": "Fri, 21 Dec 2007 19:27:00 GMT",
"version": "v1"
},
{
"created": "Sun, 24 Feb 2008 16:06:05 GMT",
"version": "v2"
},
{
"created": "Tue, 2 Jun 2009 15:14:49 GMT",
"version": "v3"
}
] |
2014-11-18
|
[
[
"Lehners",
"Jean-Luc",
""
],
[
"Steinhardt",
"Paul J.",
""
]
] |
We analyze the non-gaussian density perturbations generated in ekpyrotic/cyclic models based on heterotic M-theory. In this picture, two scalar fields produce nearly scale-invariant entropic perturbations during an ekpyrotic phase that are converted into curvature modes {\it after the ekpyrotic phase is complete} and just before the big bang. Both intrinsic non-linearity in the entropy perturbation and the conversion process contribute to non-gaussianity. The range of the non-gaussianity parameter $f_{NL}$ depends on how gradual the conversion process is and the steepness of the scalar field potential during the ekpyrotic phase. Although a wider range is possible, in principle, natural values of the ekpyrotic parameters combined with a gradual conversion process lead to values of $-60 \lesssim f_{NL} \lesssim +80$, typically much greater than slow-roll inflation but within the current observational bounds.
| 6.751742
| 7.02642
| 6.957184
| 6.527557
| 7.113145
| 6.684583
| 7.226114
| 6.770107
| 6.637097
| 7.614299
| 6.513505
| 6.527569
| 6.554843
| 6.421283
| 6.597331
| 6.885195
| 6.6083
| 6.602331
| 6.694862
| 6.455305
| 6.45196
|
hep-th/9808027
|
A. J. da Silva
|
Ashok Das and A. J. da Silva
|
Exact Effective Action for (1+1 Dimensional) Fermions in an Abelian
Background at Finite Temperature
|
A few clarifying remarks added;21 pages
|
Phys. Rev. D 59, 105011 (1999)
|
10.1103/PhysRevD.59.105011
| null |
hep-th
| null |
In an effort to further understand the structure of effective actions for
fermions in an external gauge background at finite temperature, we study the
example of 1+1 dimensional fermions interacting with an arbitrary Abelian gauge
field. We evaluate the effective action exactly at finite temperature. This
effective action is non-analytic as is expected at finite temperature. However,
contrary to the structure at zero temperature and contrary to naive
expectations, the effective action at finite temperature has interactions to
all (even) orders (which, however, do not lead to any quantum corrections). The
covariant structure thus obtained may prove useful in studying 2+1 dimensional
models in arbitrary backgrounds. We also comment briefly on the solubility of
various 1+1 dimensional models at finite temperature.
|
[
{
"created": "Wed, 5 Aug 1998 18:35:38 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Aug 1998 18:06:30 GMT",
"version": "v2"
},
{
"created": "Mon, 10 Aug 1998 18:58:52 GMT",
"version": "v3"
}
] |
2016-08-25
|
[
[
"Das",
"Ashok",
""
],
[
"da Silva",
"A. J.",
""
]
] |
In an effort to further understand the structure of effective actions for fermions in an external gauge background at finite temperature, we study the example of 1+1 dimensional fermions interacting with an arbitrary Abelian gauge field. We evaluate the effective action exactly at finite temperature. This effective action is non-analytic as is expected at finite temperature. However, contrary to the structure at zero temperature and contrary to naive expectations, the effective action at finite temperature has interactions to all (even) orders (which, however, do not lead to any quantum corrections). The covariant structure thus obtained may prove useful in studying 2+1 dimensional models in arbitrary backgrounds. We also comment briefly on the solubility of various 1+1 dimensional models at finite temperature.
| 9.307305
| 8.228073
| 9.7883
| 8.484602
| 8.297141
| 8.52005
| 8.632664
| 8.180597
| 8.40064
| 9.187642
| 8.269684
| 8.004805
| 9.097034
| 8.566954
| 8.366076
| 8.44631
| 8.087192
| 8.532588
| 8.348195
| 8.582387
| 8.567307
|
2103.05023
|
Mahsa Lezgi
|
Mahsa Lezgi, Mohammad Ali-Akbari
|
Complexity and uncomplexity during energy injection
| null |
Phys. Rev. D 103, 126024 (2021)
|
10.1103/PhysRevD.103.126024
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a strongly coupled field theory with a critical point and nonzero
chemical potential at finite temperature, which is dual to an asymptotically
AdS charged black hole. We study the evolution of the rescaled holographic
subregion complexity near and far from the critical point. We explain two
distinct concepts of complexity in this theory and discuss that the state under
study is complex based on how much information is needed to specify the state
and is simple according to how many operations have to be done to reach the
state. It has been reported before that time evolution of holographic subregion
complexity contradicts the second law of complexity in these AdS-Vaidya-like
geometries, but we try to provide a compatible interpretation. We justify
decreasing of complexity using an increasing number of microstates of the mixed
state and speculate about the description of the relative complexity of the
initial state and the final state as a resource. We propose that in this
process complexity of the mixed state decreases and complexity of the
environment increases. We also observe that in this model, the rescaled
holographic subregion complexity is a good observable for probing the dynamical
critical exponent.
|
[
{
"created": "Mon, 8 Mar 2021 19:11:01 GMT",
"version": "v1"
}
] |
2021-06-30
|
[
[
"Lezgi",
"Mahsa",
""
],
[
"Ali-Akbari",
"Mohammad",
""
]
] |
We consider a strongly coupled field theory with a critical point and nonzero chemical potential at finite temperature, which is dual to an asymptotically AdS charged black hole. We study the evolution of the rescaled holographic subregion complexity near and far from the critical point. We explain two distinct concepts of complexity in this theory and discuss that the state under study is complex based on how much information is needed to specify the state and is simple according to how many operations have to be done to reach the state. It has been reported before that time evolution of holographic subregion complexity contradicts the second law of complexity in these AdS-Vaidya-like geometries, but we try to provide a compatible interpretation. We justify decreasing of complexity using an increasing number of microstates of the mixed state and speculate about the description of the relative complexity of the initial state and the final state as a resource. We propose that in this process complexity of the mixed state decreases and complexity of the environment increases. We also observe that in this model, the rescaled holographic subregion complexity is a good observable for probing the dynamical critical exponent.
| 11.424409
| 10.917923
| 12.841618
| 11.019312
| 12.098672
| 11.581098
| 11.942304
| 11.304751
| 11.045292
| 13.010408
| 10.763912
| 10.983323
| 11.336562
| 10.772541
| 11.054565
| 10.989751
| 11.088717
| 10.749939
| 10.935911
| 11.816814
| 10.918406
|
2305.19438
|
Gustavo Joaquin Turiaci
|
Gustavo J. Turiaci and Edward Witten
|
$N=2$ JT Supergravity and Matrix Models
|
125 pages. v2: ref added and typos corrected. v3: two tables added in
the introduction summarizing the properties of JT supergravities and for N=2
their random matrix ensembles. v4: typos corrected in section 5.5
| null | null | null |
hep-th math-ph math.AG math.MP math.SG
|
http://creativecommons.org/licenses/by/4.0/
|
Generalizing previous results for $N=0$ and $N=1$, we analyze $N=2$ JT
supergravity on asymptotically AdS${}_2$ spaces with arbitrary topology and
show that this theory of gravity is dual, in a holographic sense, to a certain
random matrix ensemble in which supermultiplets of different $R$-charge are
statistically independent and each is described by its own $N=2$ random matrix
ensemble. We also analyze the case with a time-reversal symmetry, either
commuting or anticommuting with the $R$-charge. In order to compare
supergravity to random matrix theory, we develop an $N=2$ analog of the
recursion relations for Weil-Petersson volumes originally discovered by
Mirzakhani in the bosonic case.
|
[
{
"created": "Tue, 30 May 2023 22:14:20 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Jun 2023 16:21:26 GMT",
"version": "v2"
},
{
"created": "Sun, 22 Oct 2023 19:04:12 GMT",
"version": "v3"
},
{
"created": "Wed, 22 Nov 2023 22:32:58 GMT",
"version": "v4"
}
] |
2023-11-27
|
[
[
"Turiaci",
"Gustavo J.",
""
],
[
"Witten",
"Edward",
""
]
] |
Generalizing previous results for $N=0$ and $N=1$, we analyze $N=2$ JT supergravity on asymptotically AdS${}_2$ spaces with arbitrary topology and show that this theory of gravity is dual, in a holographic sense, to a certain random matrix ensemble in which supermultiplets of different $R$-charge are statistically independent and each is described by its own $N=2$ random matrix ensemble. We also analyze the case with a time-reversal symmetry, either commuting or anticommuting with the $R$-charge. In order to compare supergravity to random matrix theory, we develop an $N=2$ analog of the recursion relations for Weil-Petersson volumes originally discovered by Mirzakhani in the bosonic case.
| 7.627721
| 6.879491
| 8.328089
| 6.644319
| 6.495266
| 6.279418
| 7.199146
| 6.747027
| 6.522643
| 9.540567
| 6.67455
| 6.7921
| 7.036462
| 6.567369
| 6.554029
| 6.760138
| 6.507365
| 6.683109
| 6.436536
| 6.894452
| 6.504322
|
1408.4511
|
Yu-Xiao Liu
|
Yuan Zhong, Yu-Xiao Liu
|
$K$-field kinks: stability, exact solutions and new features
|
14 pages, 3 figures
|
JHEP 10 (2014) 041
|
10.1007/JHEP10(2014)041
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study a class of noncanonical real scalar field models in
$(1+1)$-dimensional flat space-time. We first derive the general criterion for
the classical linear stability of an arbitrary static soliton solution of these
models. Then we construct first-order formalisms for some typical models and
derive the corresponding kink solutions. The linear structures of these
solutions are also qualitatively analyzed and compared with the canonical kink
solutions.
|
[
{
"created": "Wed, 20 Aug 2014 02:54:49 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Oct 2014 02:17:22 GMT",
"version": "v2"
}
] |
2014-10-16
|
[
[
"Zhong",
"Yuan",
""
],
[
"Liu",
"Yu-Xiao",
""
]
] |
We study a class of noncanonical real scalar field models in $(1+1)$-dimensional flat space-time. We first derive the general criterion for the classical linear stability of an arbitrary static soliton solution of these models. Then we construct first-order formalisms for some typical models and derive the corresponding kink solutions. The linear structures of these solutions are also qualitatively analyzed and compared with the canonical kink solutions.
| 10.535257
| 9.685153
| 10.226814
| 9.043725
| 9.774549
| 8.893376
| 10.030873
| 8.8328
| 8.854261
| 10.774883
| 8.654571
| 9.306223
| 10.195665
| 9.218279
| 8.969759
| 9.124723
| 9.542528
| 9.266829
| 9.174534
| 9.381941
| 8.954682
|
1201.3964
|
Yong-Wan Kim
|
Yun Soo Myung, Yong-Wan Kim, Young-Jai Park
|
Spin-3 quasinormal modes of BTZ black hole
|
16 pages, title changed, references added, version to appear in PRD
| null |
10.1103/PhysRevD.85.084007
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using the operator approach, we obtain quasinormal modes (QNMs) of BTZ black
hole in spin-3 topologically massive gravity by solving the first-order
equation of motion with the transverse-traceless condition. We find that these
are different from those obtained when solving the second-order differential
equation for the third-rank tensor of spin-3 field subject to suitable boundary
conditions and having the sign ambiguity of mass. However, it is shown clearly
that two approaches to the left-moving QNMs are identical, while the
right-moving QNMs of solving the second-order equation are given by descendants
of the operator approach.
|
[
{
"created": "Thu, 19 Jan 2012 03:14:48 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Mar 2012 04:51:51 GMT",
"version": "v2"
}
] |
2013-05-30
|
[
[
"Myung",
"Yun Soo",
""
],
[
"Kim",
"Yong-Wan",
""
],
[
"Park",
"Young-Jai",
""
]
] |
Using the operator approach, we obtain quasinormal modes (QNMs) of BTZ black hole in spin-3 topologically massive gravity by solving the first-order equation of motion with the transverse-traceless condition. We find that these are different from those obtained when solving the second-order differential equation for the third-rank tensor of spin-3 field subject to suitable boundary conditions and having the sign ambiguity of mass. However, it is shown clearly that two approaches to the left-moving QNMs are identical, while the right-moving QNMs of solving the second-order equation are given by descendants of the operator approach.
| 11.622067
| 11.341044
| 11.024734
| 10.888545
| 10.494653
| 10.772761
| 11.318011
| 10.414209
| 10.616155
| 12.643277
| 10.280755
| 10.475801
| 10.795189
| 10.606918
| 10.612149
| 10.793599
| 10.971632
| 10.868231
| 10.510698
| 11.292891
| 10.095943
|
hep-th/0208065
|
Elcio Abdalla
|
E. Abdalla, K. H. C. Castello-Branco and A. Lima-Santos
|
Support of dS/CFT correspondence from space-time perturbations
|
Modified version, appearing in Phys. Rev. D66 (2002) 104018
|
Phys.Rev. D66 (2002) 104018
|
10.1103/PhysRevD.66.104018
| null |
hep-th
| null |
We analyse the spectrum of perturbations of the de Sitter space on the one
hand, while on the other hand we compute the location of the poles in the
Conformal Field Theory (CFT) propagator at the border. The coincidence is
striking, supporting a dS/CFT correspondence. We show that the spectrum of
thermal excitations of the CFT at the past boundary $I^{-}$ together with that
spectrum at the future boundary $I^{+}$ is contained in the quasi-normal mode
spectrum of the de Sitter space in the bulk.
|
[
{
"created": "Thu, 8 Aug 2002 18:32:29 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Nov 2002 12:53:26 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Abdalla",
"E.",
""
],
[
"Castello-Branco",
"K. H. C.",
""
],
[
"Lima-Santos",
"A.",
""
]
] |
We analyse the spectrum of perturbations of the de Sitter space on the one hand, while on the other hand we compute the location of the poles in the Conformal Field Theory (CFT) propagator at the border. The coincidence is striking, supporting a dS/CFT correspondence. We show that the spectrum of thermal excitations of the CFT at the past boundary $I^{-}$ together with that spectrum at the future boundary $I^{+}$ is contained in the quasi-normal mode spectrum of the de Sitter space in the bulk.
| 9.038268
| 7.886919
| 8.622412
| 7.353216
| 8.290998
| 8.663912
| 7.967175
| 7.894648
| 7.533307
| 9.026507
| 7.415361
| 8.072178
| 8.169417
| 7.973504
| 7.86773
| 7.791403
| 8.204265
| 7.724045
| 7.853893
| 8.493098
| 7.642356
|
1612.00470
|
Yan Liu
|
Yan Liu, Francisco Pena-Benitez
|
Spatially modulated instabilities of holographic gauge-gravitational
anomaly
|
24 pages, 8 figures. v2: refs added, minor improvements, a new
appendix added
|
JHEP 1705 (2017) 111
|
10.1007/JHEP05(2017)111
| null |
hep-th cond-mat.str-el gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We performed a study of the perturbative instabilities in
Einstein-Maxwell-Chern-Simons theory with a gravitational Chern-Simons term,
which is dual to a strongly coupled field theory with both chiral and mixed
gauge-gravitational anomaly. With an analysis of the fluctuations in the near
horizon regime at zero temperature, we found that there might be two possible
sources of instabilities. The first one corresponds to a real mass-squared
which is below the BF bound of AdS$_2$, and it leads to the bell-curve phase
diagram at finite temperature. The effect of mixed gauge-gravitational anomaly
is emphasised. Another source of instability is independent of gauge
Chern-Simons coupling and exists for any finite gravitational Chern-Simons
coupling. There is a singular momentum close to which unstable mode appears.
The possible implications of this singular momentum are discussed. Our analysis
suggests that the theory with a gravitational Chern-Simons term around
Reissner-Nordstr\"om black hole is unreliable unless the gravitational
Chern-Simons coupling is treated as a small perturbative parameter.
|
[
{
"created": "Thu, 1 Dec 2016 21:10:40 GMT",
"version": "v1"
},
{
"created": "Fri, 26 May 2017 13:01:15 GMT",
"version": "v2"
}
] |
2017-08-23
|
[
[
"Liu",
"Yan",
""
],
[
"Pena-Benitez",
"Francisco",
""
]
] |
We performed a study of the perturbative instabilities in Einstein-Maxwell-Chern-Simons theory with a gravitational Chern-Simons term, which is dual to a strongly coupled field theory with both chiral and mixed gauge-gravitational anomaly. With an analysis of the fluctuations in the near horizon regime at zero temperature, we found that there might be two possible sources of instabilities. The first one corresponds to a real mass-squared which is below the BF bound of AdS$_2$, and it leads to the bell-curve phase diagram at finite temperature. The effect of mixed gauge-gravitational anomaly is emphasised. Another source of instability is independent of gauge Chern-Simons coupling and exists for any finite gravitational Chern-Simons coupling. There is a singular momentum close to which unstable mode appears. The possible implications of this singular momentum are discussed. Our analysis suggests that the theory with a gravitational Chern-Simons term around Reissner-Nordstr\"om black hole is unreliable unless the gravitational Chern-Simons coupling is treated as a small perturbative parameter.
| 8.609973
| 8.503856
| 9.422947
| 8.232445
| 8.227502
| 7.93799
| 8.445596
| 7.77563
| 7.766799
| 8.958696
| 8.245523
| 8.301872
| 8.310093
| 8.286616
| 8.014626
| 8.144614
| 8.306293
| 8.273101
| 8.230437
| 8.72656
| 8.194228
|
1311.2586
|
Adam Brown
|
Adam R. Brown, Alex Dahlen, and Ali Masoumi
|
Compactifying de Sitter Naturally Selects a Small Cosmological Constant
|
11 pages, 5 figures
|
Phys. Rev. D 90, 124048 (2014)
|
10.1103/PhysRevD.90.124048
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study compactifications of $D$-dimensional de Sitter space with a $q$-form
flux down to $D-Nq$ dimensions. We show that for $(N-1)(q-1)\geq 2$ there are
double-exponentially or even infinitely many compact de Sitter vacua, and that
their effective cosmological constants accumulate at zero. This population
explosion of $\Lambda \ll 1$ de Sitters arises by a mechanism analogous to
natural selection.
|
[
{
"created": "Mon, 11 Nov 2013 21:00:01 GMT",
"version": "v1"
},
{
"created": "Sat, 29 Nov 2014 04:00:18 GMT",
"version": "v2"
}
] |
2014-12-24
|
[
[
"Brown",
"Adam R.",
""
],
[
"Dahlen",
"Alex",
""
],
[
"Masoumi",
"Ali",
""
]
] |
We study compactifications of $D$-dimensional de Sitter space with a $q$-form flux down to $D-Nq$ dimensions. We show that for $(N-1)(q-1)\geq 2$ there are double-exponentially or even infinitely many compact de Sitter vacua, and that their effective cosmological constants accumulate at zero. This population explosion of $\Lambda \ll 1$ de Sitters arises by a mechanism analogous to natural selection.
| 12.853592
| 12.040081
| 13.238976
| 10.816209
| 11.723499
| 12.074403
| 11.345826
| 11.19609
| 11.436031
| 14.534279
| 11.27239
| 11.491647
| 12.184121
| 11.349471
| 12.043797
| 11.380116
| 11.784904
| 11.028601
| 11.532488
| 12.134585
| 10.861574
|
hep-th/9403176
|
Alberto Lerda
|
Alberto Lerda
|
A Field Theory Approach to the $t$-$J$ Model and the Spin-Charge
Separation
|
27 pp., TeX file (1 figure on request), DFT-US 1/94
|
Nucl.Phys. B428 (1994) 629-654
|
10.1016/0550-3213(94)90367-0
| null |
hep-th cond-mat
| null |
We analyze the $t$-$J$ model using the ${\rm CP}^1$ representation for the
slave operators (holons and spinons) which is particularly suited to study the
phenomenon of the spin-charge separation in strongly correlated electron
systems. In particular, we show that for the one-dimensional $t$-$J$ model
below half-filling the low energy effective dynamics of the spin and charge
degrees of freedom is represented in the continuum limit by a ${\rm CP}^1$
model with a topological term, minimally coupled to a massless Dirac field with
a four-fermion interaction. The bosonic term of this action describes the spin
waves produced by the spinons, while the fermionic term represents the low
energy charge excitations. This theory exhibits explicitly a local abelian
gauge invariance.
|
[
{
"created": "Tue, 29 Mar 1994 17:01:21 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Lerda",
"Alberto",
""
]
] |
We analyze the $t$-$J$ model using the ${\rm CP}^1$ representation for the slave operators (holons and spinons) which is particularly suited to study the phenomenon of the spin-charge separation in strongly correlated electron systems. In particular, we show that for the one-dimensional $t$-$J$ model below half-filling the low energy effective dynamics of the spin and charge degrees of freedom is represented in the continuum limit by a ${\rm CP}^1$ model with a topological term, minimally coupled to a massless Dirac field with a four-fermion interaction. The bosonic term of this action describes the spin waves produced by the spinons, while the fermionic term represents the low energy charge excitations. This theory exhibits explicitly a local abelian gauge invariance.
| 6.238255
| 6.537961
| 6.568392
| 6.128282
| 6.660222
| 6.315678
| 6.961732
| 6.095332
| 6.218261
| 7.361613
| 6.517717
| 6.089323
| 6.395946
| 6.294194
| 6.276083
| 6.225702
| 6.212015
| 6.171117
| 6.226044
| 6.311596
| 6.076152
|
2106.00366
|
Charlotte Sleight
|
Charlotte Sleight, Massimo Taronna
|
On the consistency of (partially-)massless matter couplings in de Sitter
space
|
45 pages + appendices, 2 figures
| null |
10.1007/JHEP10(2021)156
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the consistency of the cubic couplings of a (partially-)massless
spinning field to two scalars in $\left(d+1\right)$-dimensional de Sitter
space. Gauge invariance of observables with external (partially)-massless
spinning fields translates into Ward-Takahashi identities on the boundary.
Using the Mellin-Barnes representation for boundary correlators in momentum
space, we give a systematic study of Ward-Takahashi identities for tree-level
3- and 4-point processes involving a single external (partially-)massless field
of arbitrary integer spin-$J$. 3-point Ward-Takahashi identities constrain the
mass of the scalar fields to which a (partially-)massless spin-$J$ field can
couple. 4-point Ward-Takahashi identities then constrain the corresponding
cubic couplings. For massless spinning fields, we show that Weinberg's flat
space results carry over to $\left(d+1\right)$-dimensional de Sitter space: For
spins $J=1,2$ gauge-invariance implies charge-conservation and the equivalence
principle while, assuming locality, higher-spins $J>2$ cannot couple
consistently to scalar matter. This result also applies to anti-de Sitter
space. For partially-massless fields, restricting for simplicity to those of
depth-2, we show that there is no consistent coupling to scalar matter in local
theories. Along the way we give a detailed account of how contact amplitudes
with and without derivatives are represented in the Mellin-Barnes
representation. Various new explicit expressions for 3- and 4-point functions
involving (partially-)massless fields and conformally coupled scalars in dS$_4$
are given.
|
[
{
"created": "Tue, 1 Jun 2021 10:17:44 GMT",
"version": "v1"
}
] |
2021-11-10
|
[
[
"Sleight",
"Charlotte",
""
],
[
"Taronna",
"Massimo",
""
]
] |
We study the consistency of the cubic couplings of a (partially-)massless spinning field to two scalars in $\left(d+1\right)$-dimensional de Sitter space. Gauge invariance of observables with external (partially)-massless spinning fields translates into Ward-Takahashi identities on the boundary. Using the Mellin-Barnes representation for boundary correlators in momentum space, we give a systematic study of Ward-Takahashi identities for tree-level 3- and 4-point processes involving a single external (partially-)massless field of arbitrary integer spin-$J$. 3-point Ward-Takahashi identities constrain the mass of the scalar fields to which a (partially-)massless spin-$J$ field can couple. 4-point Ward-Takahashi identities then constrain the corresponding cubic couplings. For massless spinning fields, we show that Weinberg's flat space results carry over to $\left(d+1\right)$-dimensional de Sitter space: For spins $J=1,2$ gauge-invariance implies charge-conservation and the equivalence principle while, assuming locality, higher-spins $J>2$ cannot couple consistently to scalar matter. This result also applies to anti-de Sitter space. For partially-massless fields, restricting for simplicity to those of depth-2, we show that there is no consistent coupling to scalar matter in local theories. Along the way we give a detailed account of how contact amplitudes with and without derivatives are represented in the Mellin-Barnes representation. Various new explicit expressions for 3- and 4-point functions involving (partially-)massless fields and conformally coupled scalars in dS$_4$ are given.
| 6.244474
| 5.863888
| 6.321044
| 5.605649
| 6.032716
| 5.853692
| 6.139729
| 5.764916
| 5.868629
| 7.07371
| 5.584271
| 5.922573
| 6.189617
| 5.83511
| 5.900896
| 5.761224
| 5.903872
| 5.938714
| 5.891112
| 6.159484
| 5.768713
|
hep-th/9304074
|
Miroslav Doresic
|
Stjepan Meljanac and Marijan Milekovic
|
On the Clebsch-Gordan coefficients for the two-parameter quantum algebra
$SU(2)_{p,q}$
|
5 pages
|
J.Phys. A26 (1993) 5177-5180
|
10.1088/0305-4470/26/19/045
| null |
hep-th math.QA
| null |
We show that the Clebsch - Gordan coefficients for the $SU(2)_{p,q}$ -
algebra depend on a single parameter Q = $\sqrt{pq}$ ,contrary to the explicit
calculation of Smirnov and Wehrhahn [J.Phys.A 25 (1992),5563].
|
[
{
"created": "Mon, 19 Apr 1993 15:48:51 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Meljanac",
"Stjepan",
""
],
[
"Milekovic",
"Marijan",
""
]
] |
We show that the Clebsch - Gordan coefficients for the $SU(2)_{p,q}$ - algebra depend on a single parameter Q = $\sqrt{pq}$ ,contrary to the explicit calculation of Smirnov and Wehrhahn [J.Phys.A 25 (1992),5563].
| 14.163381
| 15.051727
| 12.97448
| 12.461823
| 17.328175
| 13.841846
| 14.657417
| 12.933967
| 14.993285
| 15.220367
| 13.035526
| 12.104678
| 13.188569
| 12.703504
| 11.748153
| 12.813426
| 11.626266
| 12.927252
| 12.293846
| 14.169984
| 12.285598
|
1404.4490
|
Andrea Quadri
|
Andrea Quadri
|
Quantum Local Symmetry of the D-Dimensional Non-Linear Sigma Model: A
Functional Approach
|
26 pages. Invited review to Symmetry
|
Symmetry 2014, 6(2), 234-255
|
10.3390/sym6020234
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We summarize recent progress on the symmetric subtraction of the Non-Linear
Sigma Model in $D$ dimensions, based on the validity of a certain Local
Functional Equation (LFE) encoding the invariance of the SU(2) Haar measure
under local left transformations. The deformation of the classical non-linearly
realized symmetry at the quantum level is analyzed by cohomological tools. It
is shown that all the divergences of the one-particle irreducible (1-PI)
amplitudes (both on-shell and off-shell) can be classified according to the
solutions of the LFE. Applications to the non-linearly realized Yang-Mills
theory and to the electroweak theory, which is directly relevant to the
model-independent analysis of LHC data, are briefly addressed.
|
[
{
"created": "Thu, 17 Apr 2014 11:16:34 GMT",
"version": "v1"
}
] |
2014-04-18
|
[
[
"Quadri",
"Andrea",
""
]
] |
We summarize recent progress on the symmetric subtraction of the Non-Linear Sigma Model in $D$ dimensions, based on the validity of a certain Local Functional Equation (LFE) encoding the invariance of the SU(2) Haar measure under local left transformations. The deformation of the classical non-linearly realized symmetry at the quantum level is analyzed by cohomological tools. It is shown that all the divergences of the one-particle irreducible (1-PI) amplitudes (both on-shell and off-shell) can be classified according to the solutions of the LFE. Applications to the non-linearly realized Yang-Mills theory and to the electroweak theory, which is directly relevant to the model-independent analysis of LHC data, are briefly addressed.
| 8.401108
| 7.907785
| 8.645094
| 7.868451
| 8.471364
| 8.660735
| 8.323644
| 7.985481
| 7.901163
| 9.262141
| 7.925205
| 8.18104
| 8.742125
| 8.188389
| 8.267415
| 8.280821
| 7.812346
| 8.152729
| 8.289726
| 8.911811
| 8.174045
|
2309.07335
|
Franz Richard Sattler
|
Friederike Ihssen, Jan M. Pawlowski, Franz R. Sattler, Nicolas Wink
|
Towards quantitative precision for QCD at large densities
| null | null | null | null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
QCD at large density reveals a rich phase structure, ranging from a potential
critical end point and inhomogeneous phases or moat regimes to color
superconducting ones with competing order effects. Resolving this region in the
phase diagram of QCD with functional approaches requires a great deal of
quantitative reliability, already for a qualitative access. In the present
work, we systematically extend the functional renormalisation group approach to
low energy QCD by setting up a fully self-consistent approximation scheme in a
low energy effective quark-meson theory. In this approximation, all pointlike
multi-scattering events of the mesonic pion and the sigma mode are taken into
account in terms of an effective potential as well as all higher
quark-antiquark-mesonic scattering orders. As a first application we compute
the phase structure of QCD including its low temperature - large chemical
potential part. The quantitative reliability of the approximation and
systematic extensions are also discussed.
|
[
{
"created": "Wed, 13 Sep 2023 22:09:13 GMT",
"version": "v1"
}
] |
2023-09-15
|
[
[
"Ihssen",
"Friederike",
""
],
[
"Pawlowski",
"Jan M.",
""
],
[
"Sattler",
"Franz R.",
""
],
[
"Wink",
"Nicolas",
""
]
] |
QCD at large density reveals a rich phase structure, ranging from a potential critical end point and inhomogeneous phases or moat regimes to color superconducting ones with competing order effects. Resolving this region in the phase diagram of QCD with functional approaches requires a great deal of quantitative reliability, already for a qualitative access. In the present work, we systematically extend the functional renormalisation group approach to low energy QCD by setting up a fully self-consistent approximation scheme in a low energy effective quark-meson theory. In this approximation, all pointlike multi-scattering events of the mesonic pion and the sigma mode are taken into account in terms of an effective potential as well as all higher quark-antiquark-mesonic scattering orders. As a first application we compute the phase structure of QCD including its low temperature - large chemical potential part. The quantitative reliability of the approximation and systematic extensions are also discussed.
| 14.897342
| 17.183659
| 15.738271
| 13.911303
| 15.618635
| 16.239519
| 16.309839
| 17.514198
| 14.171238
| 16.147404
| 15.135376
| 15.018476
| 14.343125
| 14.254009
| 14.572088
| 14.966275
| 14.850816
| 14.909213
| 14.703222
| 15.377203
| 14.395202
|
1101.2306
|
Ian Jack
|
I. Jack and C. Luckhurst
|
Exact beta-functions in softly-broken N=2 Chern-Simons matter theories
|
11 pages; 3 figures; references added
|
JHEP 1103:076,2011
|
10.1007/JHEP03(2011)076
|
LTH 901
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present exact results for the beta-functions for the soft-breaking
parameters in softly-broken N=2 Chern-Simons matter theories in terms of the
anomalous dimension in the unbroken theory. We check our results explicitly up
to the two loop level.
|
[
{
"created": "Wed, 12 Jan 2011 09:36:07 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Jan 2011 09:02:22 GMT",
"version": "v2"
}
] |
2011-03-21
|
[
[
"Jack",
"I.",
""
],
[
"Luckhurst",
"C.",
""
]
] |
We present exact results for the beta-functions for the soft-breaking parameters in softly-broken N=2 Chern-Simons matter theories in terms of the anomalous dimension in the unbroken theory. We check our results explicitly up to the two loop level.
| 11.20172
| 8.099963
| 7.881521
| 6.696795
| 7.951828
| 7.967003
| 7.676866
| 8.008651
| 6.797513
| 7.851454
| 7.850283
| 8.251307
| 8.767521
| 8.330121
| 8.406939
| 8.583319
| 8.575953
| 8.549335
| 8.319872
| 9.04803
| 8.504949
|
1701.03110
|
Kento Watanabe
|
Pawel Caputa, Yuya Kusuki, Tadashi Takayanagi and Kento Watanabe
|
Evolution of Entanglement Entropy in Orbifold CFTs
|
28 pages, 7 figures. Invited contribution to the special issue of J.
Phys. A: "John Cardy's scale-invariant journey in low dimensions: a special
issue for his 70th birthday". v2: typos corrected, refs added, sec.5
improved. v3: affiliation, ref updated
|
J.Phys. A50 (2017) no.24, 244001
|
10.1088/1751-8121/aa6e08
|
NORDITA-2017-1, YITP-17-1, IPMU17-0003
|
hep-th cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we study the time evolution of Renyi entanglement entropy for
locally excited states created by twist operators in cyclic orbifold
$(T^2)^n/\mathbb{Z}_n$ and symmetric orbifold $(T^2)^n/S_n$. We find that when
the square of its compactification radius is rational, the second Renyi entropy
approaches a universal constant equal to the logarithm of the quantum dimension
of the twist operator. On the other hand, in the non-rational case, we find a
new scaling law for the Renyi entropies given by the double logarithm of time
$\log\log t$ for the cyclic orbifold CFT.
|
[
{
"created": "Wed, 11 Jan 2017 19:00:03 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Feb 2017 05:21:39 GMT",
"version": "v2"
},
{
"created": "Mon, 29 May 2017 04:52:39 GMT",
"version": "v3"
}
] |
2017-05-30
|
[
[
"Caputa",
"Pawel",
""
],
[
"Kusuki",
"Yuya",
""
],
[
"Takayanagi",
"Tadashi",
""
],
[
"Watanabe",
"Kento",
""
]
] |
In this work we study the time evolution of Renyi entanglement entropy for locally excited states created by twist operators in cyclic orbifold $(T^2)^n/\mathbb{Z}_n$ and symmetric orbifold $(T^2)^n/S_n$. We find that when the square of its compactification radius is rational, the second Renyi entropy approaches a universal constant equal to the logarithm of the quantum dimension of the twist operator. On the other hand, in the non-rational case, we find a new scaling law for the Renyi entropies given by the double logarithm of time $\log\log t$ for the cyclic orbifold CFT.
| 6.086802
| 5.916225
| 7.137238
| 5.561441
| 6.131469
| 5.701812
| 5.514469
| 5.789014
| 5.650196
| 7.495413
| 5.400279
| 5.879023
| 6.089519
| 5.655129
| 5.873279
| 5.755945
| 5.721161
| 5.877574
| 5.748135
| 6.285997
| 5.719244
|
hep-th/0605231
|
Saharian
|
E. R. Bezerra de Mello, V. B. Bezerra, A. A. Saharian, A. S. Tarloyan
|
Vacuum polarization induced by a cylindrical boundary in the cosmic
string spacetime
|
21 pages, 5 figures
|
Phys.Rev. D74 (2006) 025017
|
10.1103/PhysRevD.74.025017
| null |
hep-th gr-qc quant-ph
| null |
In this paper we investigate the Wightman function, the renormalized vacuum
expectation values of the field square, and the energy-momentum tensor for a
massive scalar field with general curvature coupling inside and outside of a
cylindrical shell in the generalized spacetime of straight cosmic string. For
the general case of Robin boundary condition, by using the generalized
Abel-Plana formula, the vacuum expectation values are presented in the form of
the sum of boundary-free and boundary-induced parts. The asymptotic behavior of
the vacuum expectation values of the field square, energy density and stresses
are investigated in various limiting cases. The generalization of the results
to the exterior region is given for a general cylindrically symmetric static
model of the string core with finite support.
|
[
{
"created": "Tue, 23 May 2006 17:31:59 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"de Mello",
"E. R. Bezerra",
""
],
[
"Bezerra",
"V. B.",
""
],
[
"Saharian",
"A. A.",
""
],
[
"Tarloyan",
"A. S.",
""
]
] |
In this paper we investigate the Wightman function, the renormalized vacuum expectation values of the field square, and the energy-momentum tensor for a massive scalar field with general curvature coupling inside and outside of a cylindrical shell in the generalized spacetime of straight cosmic string. For the general case of Robin boundary condition, by using the generalized Abel-Plana formula, the vacuum expectation values are presented in the form of the sum of boundary-free and boundary-induced parts. The asymptotic behavior of the vacuum expectation values of the field square, energy density and stresses are investigated in various limiting cases. The generalization of the results to the exterior region is given for a general cylindrically symmetric static model of the string core with finite support.
| 7.640088
| 5.121249
| 8.589167
| 5.018681
| 5.097192
| 4.702308
| 4.61871
| 4.747184
| 4.962437
| 9.36985
| 4.655487
| 5.628812
| 7.291576
| 6.489958
| 6.121598
| 6.085409
| 6.009389
| 6.094484
| 6.286301
| 7.290649
| 5.994325
|
2305.16046
|
Miao He
|
Miao He, Yunfeng Jiang
|
Integrable Crosscap States: From Spin Chains to 1D Bose Gas
|
38 pages
|
JHEP08(2023)079
|
10.1007/JHEP08(2023)079
| null |
hep-th cond-mat.stat-mech
|
http://creativecommons.org/licenses/by/4.0/
|
The notion of a crosscap state, a special conformal boundary state first
defined in 2d CFT, was recently generalized to 2d massive integrable quantum
field theories and integrable spin chains. It has been shown that the crosscap
states preserve integrability. In this work, we first generalize this notion to
the Lieb-Liniger model, which is a prototype of integrable non-relativistic
many-body systems. We then show that the defined crosscap state preserves
integrability. We derive the exact overlap formula of the crosscap state and
the on-shell Bethe states. As a byproduct, we prove the conjectured overlap
formula for integrable spin chains rigorously by coordinate Bethe ansatz. It
turns out that the overlap formula for both models take the same form as a
ratio of Gaudin-like determinants with a trivial prefactor. Finally we study
quench dynamics of the crosscap state, which turns out to be surprisingly
simple. The stationary density distribution is simply a constant. We also
derive the analytic formula for dynamical correlation functions in the
Tonks-Girardeau limit.
|
[
{
"created": "Thu, 25 May 2023 13:23:41 GMT",
"version": "v1"
}
] |
2024-01-19
|
[
[
"He",
"Miao",
""
],
[
"Jiang",
"Yunfeng",
""
]
] |
The notion of a crosscap state, a special conformal boundary state first defined in 2d CFT, was recently generalized to 2d massive integrable quantum field theories and integrable spin chains. It has been shown that the crosscap states preserve integrability. In this work, we first generalize this notion to the Lieb-Liniger model, which is a prototype of integrable non-relativistic many-body systems. We then show that the defined crosscap state preserves integrability. We derive the exact overlap formula of the crosscap state and the on-shell Bethe states. As a byproduct, we prove the conjectured overlap formula for integrable spin chains rigorously by coordinate Bethe ansatz. It turns out that the overlap formula for both models take the same form as a ratio of Gaudin-like determinants with a trivial prefactor. Finally we study quench dynamics of the crosscap state, which turns out to be surprisingly simple. The stationary density distribution is simply a constant. We also derive the analytic formula for dynamical correlation functions in the Tonks-Girardeau limit.
| 6.882142
| 7.058131
| 7.268351
| 6.793577
| 7.466089
| 6.756163
| 7.22603
| 6.738033
| 6.330503
| 8.3985
| 6.52636
| 6.689929
| 6.832304
| 6.650715
| 6.784389
| 6.632189
| 6.821415
| 6.79559
| 6.587653
| 6.796463
| 6.601424
|
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