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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1911.00088
|
Heliudson Bernardo
|
Heliudson Bernardo, Robert Brandenberger and Guilherme Franzmann
|
O$(d,d)$ covariant String Cosmology to all orders in $\alpha^{\prime}$
|
27 pages, 1 figure
| null |
10.1007/JHEP02(2020)178
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently, all duality invariant $\alpha'$-corrections to the massless NS-NS
sector of string theory on time-dependent backgrounds were classified and the
form of their contribution to the action were calculated. In this paper we
introduce matter sources in the resulting equations of motion in an O$(d,d)$
covariant way. We show that either starting with the corrected equations and
sourcing them with matter or considering corrections to the matter sourced
lowest order equations give the same set of equations that defines string
cosmology to all orders in $\alpha'$. We also discuss perturbative and
non-perturbative de Sitter solutions including matter.
|
[
{
"created": "Thu, 31 Oct 2019 20:10:45 GMT",
"version": "v1"
},
{
"created": "Sun, 1 Mar 2020 22:58:06 GMT",
"version": "v2"
}
] |
2020-03-18
|
[
[
"Bernardo",
"Heliudson",
""
],
[
"Brandenberger",
"Robert",
""
],
[
"Franzmann",
"Guilherme",
""
]
] |
Recently, all duality invariant $\alpha'$-corrections to the massless NS-NS sector of string theory on time-dependent backgrounds were classified and the form of their contribution to the action were calculated. In this paper we introduce matter sources in the resulting equations of motion in an O$(d,d)$ covariant way. We show that either starting with the corrected equations and sourcing them with matter or considering corrections to the matter sourced lowest order equations give the same set of equations that defines string cosmology to all orders in $\alpha'$. We also discuss perturbative and non-perturbative de Sitter solutions including matter.
| 12.797781
| 10.216166
| 11.176169
| 9.726222
| 11.563148
| 11.532888
| 10.945897
| 10.564607
| 9.948063
| 13.925038
| 10.189822
| 10.344139
| 10.803323
| 10.377616
| 10.201318
| 10.059986
| 10.631016
| 10.375889
| 10.680304
| 11.460373
| 10.495126
|
1402.7191
|
Tatsu Takeuchi
|
Zachary Lewis, Ahmed Roman, Tatsu Takeuchi
|
Position and momentum uncertainties of a particle in a V-shaped
potential under the minimal length uncertainty relation
|
25 pages revtex4-1, 36 pdf figures, updated introduction
|
International Journal of Modern Physics A 30 (2015) 1550206
|
10.1142/S0217751X15502061
|
IPMU13-0139
|
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We calculate the uncertainties in the position and momentum of a particle in
the 1D potential V(x)=F|x|, F>0, when the position and momentum operators obey
the deformed commutation relation [x,p]=i\hbar(1+\beta p^2), \beta>0. As in the
harmonic oscillator case, which was investigated in a previous publication, the
Hamiltonian H_1 = p^2/2m + F|x| admits discrete positive energy eigenstates for
both positive and negative mass. The uncertainties for the positive mass states
behave as \Delta x ~ 1/\Delta p as in the \beta=0 limit. For the negative mass
states, however, in contrast to the harmonic oscillator case where we had
\Delta x ~ \Delta p, both \Delta x and \Delta p diverge. We argue that the
existence of the negative mass states and the divergence of their uncertainties
can be understood by taking the classical limit of the theory. Comparison of
our results is made with previous work by Benczik.
|
[
{
"created": "Fri, 28 Feb 2014 10:41:28 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Nov 2015 12:09:28 GMT",
"version": "v2"
}
] |
2015-12-09
|
[
[
"Lewis",
"Zachary",
""
],
[
"Roman",
"Ahmed",
""
],
[
"Takeuchi",
"Tatsu",
""
]
] |
We calculate the uncertainties in the position and momentum of a particle in the 1D potential V(x)=F|x|, F>0, when the position and momentum operators obey the deformed commutation relation [x,p]=i\hbar(1+\beta p^2), \beta>0. As in the harmonic oscillator case, which was investigated in a previous publication, the Hamiltonian H_1 = p^2/2m + F|x| admits discrete positive energy eigenstates for both positive and negative mass. The uncertainties for the positive mass states behave as \Delta x ~ 1/\Delta p as in the \beta=0 limit. For the negative mass states, however, in contrast to the harmonic oscillator case where we had \Delta x ~ \Delta p, both \Delta x and \Delta p diverge. We argue that the existence of the negative mass states and the divergence of their uncertainties can be understood by taking the classical limit of the theory. Comparison of our results is made with previous work by Benczik.
| 5.706663
| 5.835583
| 5.845708
| 5.451125
| 5.775175
| 6.046393
| 5.805146
| 5.684796
| 5.521538
| 6.215079
| 5.236832
| 5.486929
| 5.475366
| 5.581664
| 5.501777
| 5.562755
| 5.529699
| 5.376101
| 5.603028
| 5.52266
| 5.286349
|
1912.06902
|
Stuart Raby
|
C. Herbert Clemens and Stuart Raby
|
Right-handed neutrinos and $U\left(1\right)_{X}$ symmetry-breaking
|
15 pages
| null |
10.1007/JHEP04(2020)059
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The authors have proposed a global model for Heterotic $F$-theory duality
with Wilson line symmetry-breaking and a $4+1$ split of the $F$-theory spectral
divisor. Goals of this note are to treat the existence of right-handed
neutrinos in our $F$-theory model, show that the $\mathbb{Z}_{2}$-action in our
model breaks the $U\left(1\right)_{X}$-symmetry associated to the $4+1$ split
to $\mathbb{Z}_{2}$-matter parity, and to identify Yukawa couplings for the
MSSM matter fields.
|
[
{
"created": "Sat, 14 Dec 2019 18:30:23 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Mar 2020 17:40:14 GMT",
"version": "v2"
},
{
"created": "Fri, 27 Mar 2020 20:43:01 GMT",
"version": "v3"
},
{
"created": "Tue, 7 Apr 2020 19:38:00 GMT",
"version": "v4"
}
] |
2020-05-20
|
[
[
"Clemens",
"C. Herbert",
""
],
[
"Raby",
"Stuart",
""
]
] |
The authors have proposed a global model for Heterotic $F$-theory duality with Wilson line symmetry-breaking and a $4+1$ split of the $F$-theory spectral divisor. Goals of this note are to treat the existence of right-handed neutrinos in our $F$-theory model, show that the $\mathbb{Z}_{2}$-action in our model breaks the $U\left(1\right)_{X}$-symmetry associated to the $4+1$ split to $\mathbb{Z}_{2}$-matter parity, and to identify Yukawa couplings for the MSSM matter fields.
| 9.173209
| 9.232807
| 9.677914
| 8.507546
| 9.451591
| 9.553107
| 9.373499
| 9.42044
| 9.011963
| 9.26238
| 9.002205
| 9.476504
| 9.189237
| 8.718662
| 9.178591
| 9.085767
| 9.069911
| 9.031235
| 9.346358
| 9.041283
| 9.035003
|
1311.7413
|
Daniel Grumiller
|
Daniel Grumiller, Mauricio Leston and Dmitri Vassilevich
|
Anti-de Sitter holography for gravity and higher spin theories in two
dimensions
|
8pp, v2: added footnotes and references
|
Phys. Rev. D 89, 044001 (2014)
|
10.1103/PhysRevD.89.044001
|
TUW-13-18
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We provide a holographic description of two-dimensional dilaton gravity with
Anti-de Sitter boundary conditions. We find that the asymptotic symmetry
algebra consists of a single copy of the Virasoro algebra with non-vanishing
central charge and point out difficulties with the standard canonical
treatment. We generalize our results to higher spin theories and thus provide
the first examples of two-dimensional higher spin gravity with holographic
description. For spin-3 gravity we find that the asymptotic symmetry algebra is
a single copy of the W_3-algebra.
|
[
{
"created": "Thu, 28 Nov 2013 20:19:56 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Dec 2013 12:40:51 GMT",
"version": "v2"
}
] |
2014-02-12
|
[
[
"Grumiller",
"Daniel",
""
],
[
"Leston",
"Mauricio",
""
],
[
"Vassilevich",
"Dmitri",
""
]
] |
We provide a holographic description of two-dimensional dilaton gravity with Anti-de Sitter boundary conditions. We find that the asymptotic symmetry algebra consists of a single copy of the Virasoro algebra with non-vanishing central charge and point out difficulties with the standard canonical treatment. We generalize our results to higher spin theories and thus provide the first examples of two-dimensional higher spin gravity with holographic description. For spin-3 gravity we find that the asymptotic symmetry algebra is a single copy of the W_3-algebra.
| 6.399252
| 5.691363
| 5.777414
| 5.704267
| 5.42964
| 5.272728
| 5.407487
| 5.361864
| 5.58335
| 7.026401
| 5.417092
| 5.846993
| 6.136884
| 5.88536
| 6.000288
| 5.990405
| 5.98153
| 5.783198
| 5.773184
| 6.244582
| 5.793904
|
hep-th/0506198
|
Kiyoung Lee
|
Kiyoung Lee, Warren Siegel
|
Conquest of the ghost pyramid of the superstring
|
30 pages, 1 figure, Latex
|
JHEP 0508 (2005) 102
|
10.1088/1126-6708/2005/08/102
|
YITP-SB-05-15
|
hep-th
| null |
We give a new Becchi-Rouet-Stora-Tyutin operator for the superstring. It
implies a quadratic gauge-fixed action, and a new gauge-invariant action with
first-class constraints. The infinite pyramid of spinor ghosts appears in a
simple way through ghost gamma matrices.
|
[
{
"created": "Thu, 23 Jun 2005 19:16:03 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Jun 2005 23:47:03 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Lee",
"Kiyoung",
""
],
[
"Siegel",
"Warren",
""
]
] |
We give a new Becchi-Rouet-Stora-Tyutin operator for the superstring. It implies a quadratic gauge-fixed action, and a new gauge-invariant action with first-class constraints. The infinite pyramid of spinor ghosts appears in a simple way through ghost gamma matrices.
| 18.940113
| 17.129297
| 19.650391
| 17.031384
| 17.336039
| 17.392822
| 20.370697
| 17.894947
| 18.185352
| 22.19433
| 16.598948
| 17.293171
| 19.447428
| 17.450253
| 18.133133
| 17.987629
| 17.513178
| 17.254158
| 16.924257
| 18.285812
| 16.332779
|
hep-th/0701217
|
M. Meyer
|
Howard J. Schnitzer
|
Reggeization of N=8 Supergravity and N=4 Yang--Mills Theory
|
16 pages
| null | null |
BRX TH-583
|
hep-th
| null |
We show that the gluon of N=4 Yang--Mills theory lies on a Regge trajectory,
which then implies that the graviton of N=8 supergravity also lies on a Regge
trajectory. This is consistent with the conjecture that N=8 supergravity is
ultraviolet finite in perturbation theory.
|
[
{
"created": "Tue, 23 Jan 2007 15:34:01 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Schnitzer",
"Howard J.",
""
]
] |
We show that the gluon of N=4 Yang--Mills theory lies on a Regge trajectory, which then implies that the graviton of N=8 supergravity also lies on a Regge trajectory. This is consistent with the conjecture that N=8 supergravity is ultraviolet finite in perturbation theory.
| 5.572694
| 4.739294
| 5.952581
| 5.036929
| 4.932758
| 4.559168
| 5.008702
| 4.735106
| 5.032176
| 5.686996
| 4.492156
| 4.965717
| 5.228949
| 5.054362
| 4.788329
| 4.839349
| 4.847173
| 4.783213
| 4.945216
| 5.107543
| 4.893175
|
hep-th/0006190
|
Spenta Wadia
|
Spenta R. Wadia
|
Lectures on the Microscopic Modeling of the 5-dim. Black Hole of IIB
String Theory and the $D_1-D_5$ System
|
58 pages, latex, text improved, references and acknowledgement added
| null |
10.1007/s12043-001-0139-0
|
TIFR-TH-00/31
|
hep-th gr-qc
| null |
In these notes we review the theory of the microscopic modeling of the 5-dim.
black hole of type IIB string theory in terms of the $D1-D5$ brane system. The
emphasis here is more on the brane dynamics rather than on supergravity
solutions. We present a discussion of the low energy brane dynamics and account
for black hole thermodynamics and Hawking radiation rates. These considerations
are valid in the regime of supergravity due to the non-renormalization of the
low energy dynamics in this model.
|
[
{
"created": "Fri, 23 Jun 2000 20:02:02 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Jul 2000 15:28:50 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Wadia",
"Spenta R.",
""
]
] |
In these notes we review the theory of the microscopic modeling of the 5-dim. black hole of type IIB string theory in terms of the $D1-D5$ brane system. The emphasis here is more on the brane dynamics rather than on supergravity solutions. We present a discussion of the low energy brane dynamics and account for black hole thermodynamics and Hawking radiation rates. These considerations are valid in the regime of supergravity due to the non-renormalization of the low energy dynamics in this model.
| 11.474908
| 8.21207
| 11.008667
| 8.532436
| 8.990791
| 9.004529
| 8.210248
| 8.738679
| 9.474548
| 11.531578
| 9.544704
| 9.142314
| 9.415929
| 9.682472
| 9.639995
| 9.529752
| 9.106113
| 9.475882
| 9.291023
| 10.11019
| 9.664679
|
hep-th/0004178
|
Ralf Hofmann
|
Ralf Hofmann
|
BPS Saturated Vacua Interpolation along One Compact Dimension
|
8 pages, 4 figures
|
Phys.Rev. D62 (2000) 065012
|
10.1103/PhysRevD.62.065012
| null |
hep-th
| null |
A class of generalized Wess-Zumino models with distinct vacua is
investigated. These models allow for BPS saturated vacua interpolation along
one compact spatial dimension. The properties of these interpolations are
studied.
|
[
{
"created": "Wed, 26 Apr 2000 01:18:33 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Jun 2000 19:22:06 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Hofmann",
"Ralf",
""
]
] |
A class of generalized Wess-Zumino models with distinct vacua is investigated. These models allow for BPS saturated vacua interpolation along one compact spatial dimension. The properties of these interpolations are studied.
| 18.17543
| 15.941578
| 17.982826
| 13.078269
| 14.585383
| 15.800714
| 14.767366
| 15.027973
| 15.013336
| 17.361395
| 15.380114
| 14.518496
| 16.22072
| 14.769697
| 15.178321
| 14.370731
| 15.697657
| 14.841913
| 16.182695
| 16.254784
| 14.688955
|
2309.14412
|
Meer Ashwinkumar
|
Meer Ashwinkumar, Jun-ichi Sakamoto, Masahito Yamazaki
|
Dualities and Discretizations of Integrable Quantum Field Theories from
4d Chern-Simons Theory
|
145 pages, 22 figures
| null | null | null |
hep-th cond-mat.stat-mech math-ph math.MP nlin.SI
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We elucidate the relationship between 2d integrable field theories and 2d
integrable lattice models, in the framework of the 4d Chern-Simons theory. The
2d integrable field theory is realized by coupling the 4d theory to multiple 2d
surface order defects, each of which is then discretized into 1d defects. We
find that the resulting defects can be dualized into Wilson lines, so that the
lattice of discretized defects realizes integrable lattice models. Our
discretization procedure works systematically for a broad class of integrable
models (including trigonometric and elliptic models), and uncovers a rich web
of new dualities among integrable field theories. We also study the
anomaly-inflow mechanism for the integrable models, which is required for the
quantum integrability of field theories. By analyzing the anomalies of chiral
defects, we derive a new set of bosonization dualities between generalizations
of massless Thirring models and coupled Wess-Zumino-Witten (WZW) models. We
study an embedding of our setup into string theory, where the thermodynamic
limit of the lattice models is realized by polarizations of D-branes.
|
[
{
"created": "Mon, 25 Sep 2023 18:00:01 GMT",
"version": "v1"
}
] |
2023-09-27
|
[
[
"Ashwinkumar",
"Meer",
""
],
[
"Sakamoto",
"Jun-ichi",
""
],
[
"Yamazaki",
"Masahito",
""
]
] |
We elucidate the relationship between 2d integrable field theories and 2d integrable lattice models, in the framework of the 4d Chern-Simons theory. The 2d integrable field theory is realized by coupling the 4d theory to multiple 2d surface order defects, each of which is then discretized into 1d defects. We find that the resulting defects can be dualized into Wilson lines, so that the lattice of discretized defects realizes integrable lattice models. Our discretization procedure works systematically for a broad class of integrable models (including trigonometric and elliptic models), and uncovers a rich web of new dualities among integrable field theories. We also study the anomaly-inflow mechanism for the integrable models, which is required for the quantum integrability of field theories. By analyzing the anomalies of chiral defects, we derive a new set of bosonization dualities between generalizations of massless Thirring models and coupled Wess-Zumino-Witten (WZW) models. We study an embedding of our setup into string theory, where the thermodynamic limit of the lattice models is realized by polarizations of D-branes.
| 7.893611
| 7.923385
| 9.184367
| 7.63419
| 8.172439
| 8.008991
| 7.389611
| 7.570383
| 7.465672
| 9.903008
| 7.590221
| 7.693721
| 7.999445
| 7.507234
| 7.86952
| 7.790642
| 7.635113
| 7.698035
| 7.608317
| 8.018098
| 7.404427
|
0707.1863
|
Giovanni Amelino-Camelia
|
Giovanni Amelino-Camelia, Giulia Gubitosi, Antonino Marcian\'o, Pierre
Martinetti, Flavio Mercati
|
A no-pure-boost uncertainty principle from spacetime noncommutativity
|
8 pages, LaTex
|
Phys.Lett.B671:298-302,2009
|
10.1016/j.physletb.2008.12.032
| null |
hep-th
| null |
We study boost and space-rotation transformations in kappa-Minkowski
noncommutative spacetime, using the techniques that some of us had previously
developed (hep-th/0607221) for a description of translations in
kappa-Minkowski, which in particular led to the introduction of translation
transformation parameters that do not commute with the spacetime coordinates.
We find a similar description of boosts and space rotations, which allows us to
identify some associated conserved charges, but the form of the commutators
between transformation parameters and spacetime coordinates is incompatible
with the possibility of a pure boost.
|
[
{
"created": "Thu, 12 Jul 2007 19:17:41 GMT",
"version": "v1"
}
] |
2009-01-14
|
[
[
"Amelino-Camelia",
"Giovanni",
""
],
[
"Gubitosi",
"Giulia",
""
],
[
"Marcianó",
"Antonino",
""
],
[
"Martinetti",
"Pierre",
""
],
[
"Mercati",
"Flavio",
""
]
] |
We study boost and space-rotation transformations in kappa-Minkowski noncommutative spacetime, using the techniques that some of us had previously developed (hep-th/0607221) for a description of translations in kappa-Minkowski, which in particular led to the introduction of translation transformation parameters that do not commute with the spacetime coordinates. We find a similar description of boosts and space rotations, which allows us to identify some associated conserved charges, but the form of the commutators between transformation parameters and spacetime coordinates is incompatible with the possibility of a pure boost.
| 10.643361
| 9.070119
| 10.341629
| 9.111136
| 10.662107
| 9.723497
| 8.980992
| 9.035628
| 8.54027
| 10.431644
| 9.415509
| 9.683996
| 9.531498
| 9.56766
| 9.915478
| 9.577247
| 9.780977
| 9.9338
| 9.452658
| 9.967174
| 9.502913
|
hep-th/0105134
|
Robert Mann
|
M.H. Dehghani, A.M. Ghezelbash, and R.B. Mann
|
Vortex Holography
|
LaTeX, 20 pages, 4 eps figures, references and two paragraphs added,
to appear in Nucl. Phys. B
|
Nucl.Phys. B625 (2002) 389-406
|
10.1016/S0550-3213(02)00024-X
|
WATPPHYS-TH01/07
|
hep-th gr-qc
| null |
We show that the Abelian Higgs field equations in the four dimensional anti
de Sitter spacetime have a vortex line solution. This solution, which has
cylindrical symmetry in AdS$_4$, is a generalization of the flat spacetime
Nielsen-Olesen string. We show that the vortex induces a deficit angle in the
AdS$_4$ spacetime that is proportional to its mass density. Using the AdS/CFT
correspondence, we show that the mass density of the string is uniform and dual
to the discontinuity of a logarithmic derivative of correlation function of the
boundary scalar operator.
|
[
{
"created": "Mon, 14 May 2001 21:05:11 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Jan 2002 20:06:16 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Dehghani",
"M. H.",
""
],
[
"Ghezelbash",
"A. M.",
""
],
[
"Mann",
"R. B.",
""
]
] |
We show that the Abelian Higgs field equations in the four dimensional anti de Sitter spacetime have a vortex line solution. This solution, which has cylindrical symmetry in AdS$_4$, is a generalization of the flat spacetime Nielsen-Olesen string. We show that the vortex induces a deficit angle in the AdS$_4$ spacetime that is proportional to its mass density. Using the AdS/CFT correspondence, we show that the mass density of the string is uniform and dual to the discontinuity of a logarithmic derivative of correlation function of the boundary scalar operator.
| 7.341498
| 5.764894
| 6.956542
| 5.966532
| 5.961701
| 6.257526
| 5.726103
| 5.680123
| 6.045328
| 7.3751
| 6.116418
| 6.472853
| 6.732485
| 6.462533
| 6.328735
| 6.142838
| 6.430035
| 6.453589
| 6.38866
| 6.7264
| 6.289913
|
1502.01574
|
Alex Buchel
|
Alex Buchel and Luis Lehner
|
Small black holes in $AdS_5\times S^5$
|
16 pages, 1 figure; v2: CQG published version (20 pages, 2 figures)
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider small black holes in $AdS_5\times S^5$, smeared on $S^5$. We
compute the spectrum of $\ell \in [1,10]$ $S^5$-quasinormal modes corresponding
to fluctuations leading to localization of these black holes on $S^5$. We
recover the zero mode found by Hubeny and Rangamani (HR) previously
\cite{Hubeny:2002xn}, and explicitly demonstrate that a Gregory-Laflamme type
instability is at play in this system. The instability is associated with the
expectation value of a dimension-5 operator.
|
[
{
"created": "Thu, 5 Feb 2015 14:48:11 GMT",
"version": "v1"
},
{
"created": "Thu, 7 May 2015 14:46:04 GMT",
"version": "v2"
}
] |
2015-05-08
|
[
[
"Buchel",
"Alex",
""
],
[
"Lehner",
"Luis",
""
]
] |
We consider small black holes in $AdS_5\times S^5$, smeared on $S^5$. We compute the spectrum of $\ell \in [1,10]$ $S^5$-quasinormal modes corresponding to fluctuations leading to localization of these black holes on $S^5$. We recover the zero mode found by Hubeny and Rangamani (HR) previously \cite{Hubeny:2002xn}, and explicitly demonstrate that a Gregory-Laflamme type instability is at play in this system. The instability is associated with the expectation value of a dimension-5 operator.
| 7.881964
| 8.534815
| 9.115163
| 7.78077
| 9.046815
| 9.020019
| 9.582445
| 8.482285
| 8.307048
| 9.729343
| 8.363658
| 8.197706
| 8.002542
| 7.516494
| 8.045808
| 8.235401
| 7.932611
| 8.242215
| 8.256101
| 8.080883
| 7.61163
|
1702.02833
|
Marco Bill\'o
|
S. K. Ashok, M. Billo, E. Dell'Aquila, M. Frau, R. R. John, A. Lerda
|
Modular and duality properties of surface operators in N=2* gauge
theories
|
51 pages, v3: references added, typos fixed, footnote added, some
small changes in the text, appendix B streamlined. Matches the published
version
| null |
10.1007/JHEP07(2017)068
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We calculate the instanton partition function of the four-dimensional N=2*
SU(N) gauge theory in the presence of a generic surface operator, using
equivariant localization. By analyzing the constraints that arise from
S-duality, we show that the effective twisted superpotential, which governs the
infrared dynamics of the two-dimensional theory on the surface operator,
satisfies a modular anomaly equation. Exploiting the localization results, we
solve this equation in terms of elliptic and quasi-modular forms which resum
all non-perturbative corrections. We also show that our results, derived for
monodromy defects in the four-dimensional theory, match the effective twisted
superpotential describing the infrared properties of certain two-dimensional
sigma models coupled either to pure N=2 or to N=2* gauge theories.
|
[
{
"created": "Thu, 9 Feb 2017 13:48:42 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Mar 2017 16:50:27 GMT",
"version": "v2"
},
{
"created": "Mon, 28 Aug 2017 15:09:06 GMT",
"version": "v3"
}
] |
2017-08-29
|
[
[
"Ashok",
"S. K.",
""
],
[
"Billo",
"M.",
""
],
[
"Dell'Aquila",
"E.",
""
],
[
"Frau",
"M.",
""
],
[
"John",
"R. R.",
""
],
[
"Lerda",
"A.",
""
]
] |
We calculate the instanton partition function of the four-dimensional N=2* SU(N) gauge theory in the presence of a generic surface operator, using equivariant localization. By analyzing the constraints that arise from S-duality, we show that the effective twisted superpotential, which governs the infrared dynamics of the two-dimensional theory on the surface operator, satisfies a modular anomaly equation. Exploiting the localization results, we solve this equation in terms of elliptic and quasi-modular forms which resum all non-perturbative corrections. We also show that our results, derived for monodromy defects in the four-dimensional theory, match the effective twisted superpotential describing the infrared properties of certain two-dimensional sigma models coupled either to pure N=2 or to N=2* gauge theories.
| 6.687801
| 6.575516
| 7.999493
| 6.53272
| 6.569139
| 6.439275
| 6.654966
| 6.753051
| 6.446123
| 9.251012
| 6.142289
| 6.803981
| 7.255928
| 6.469561
| 6.372756
| 6.702785
| 6.597476
| 6.561181
| 6.67513
| 7.442896
| 6.650663
|
1611.04804
|
Nouman Muteeb Muhammad
|
Edi Gava, K.S. Narain, Nouman Muteeb, V. I. Giraldo-Rivera
|
N=2 gauge theories on the hemisphere $HS^4$
|
47 pages, discussion on instanton corrections in section 6 revised,
typos corrected, two references added
| null |
10.1016/j.nuclphysb.2017.04.007
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using localization techniques, we compute the path integral of $N=2$ SUSY
gauge theory coupled to matter on the hemisphere $HS^4$, with either Dirichlet
or Neumann supersymmetric boundary conditions. The resulting quantities are
wave-functions of the theory depending on the boundary data. The one-loop
determinant are computed using $SO(4)$ harmonics basis. We solve kernel and
co-kernel equations for the relevant differential operators arising from gauge
and matter localizing actions. The second method utilizes full $SO(5)$
harmonics to reduce the computation to evaluating $Q_{SUSY}^2$ eigenvalues and
its multiplicities. In the Dirichlet case, we show how to glue two
wave-functions to get back the partition function of round $S^4$. We will also
describe how to obtain the same results using $SO(5)$ harmonics basis.
|
[
{
"created": "Tue, 15 Nov 2016 12:24:10 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Nov 2016 17:42:30 GMT",
"version": "v2"
},
{
"created": "Mon, 14 Aug 2017 01:02:50 GMT",
"version": "v3"
}
] |
2017-08-15
|
[
[
"Gava",
"Edi",
""
],
[
"Narain",
"K. S.",
""
],
[
"Muteeb",
"Nouman",
""
],
[
"Giraldo-Rivera",
"V. I.",
""
]
] |
Using localization techniques, we compute the path integral of $N=2$ SUSY gauge theory coupled to matter on the hemisphere $HS^4$, with either Dirichlet or Neumann supersymmetric boundary conditions. The resulting quantities are wave-functions of the theory depending on the boundary data. The one-loop determinant are computed using $SO(4)$ harmonics basis. We solve kernel and co-kernel equations for the relevant differential operators arising from gauge and matter localizing actions. The second method utilizes full $SO(5)$ harmonics to reduce the computation to evaluating $Q_{SUSY}^2$ eigenvalues and its multiplicities. In the Dirichlet case, we show how to glue two wave-functions to get back the partition function of round $S^4$. We will also describe how to obtain the same results using $SO(5)$ harmonics basis.
| 11.755261
| 10.423691
| 12.826119
| 9.921295
| 10.603887
| 11.41526
| 10.453312
| 10.425843
| 10.013569
| 12.465698
| 10.768021
| 10.438536
| 11.104131
| 10.199273
| 10.111122
| 10.55552
| 10.468929
| 10.412503
| 10.244144
| 11.003888
| 10.361409
|
1208.3255
|
Hael Collins
|
Hael Collins, R. Holman, and Andreas Ross (Carnegie Mellon University)
|
Effective field theory in time-dependent settings
|
37 pages, 5 figures
| null |
10.1007/JHEP02(2013)108
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use the in-in or Schwinger-Keldysh formalism to explore the construction
and interpretation of effective field theories for time-dependent systems
evolving out of equilibrium. Starting with a simple model consisting of a heavy
and a light scalar field taken to be in their free vacuum states at a finite
initial time, we study the effects from the heavy field on the dynamics of the
light field by analyzing the equation of motion for the expectation value of
the light background field. New terms appear which cannot arise from a local
action of an effective field theory in terms of the light field, though they
disappear in the adiabatic limit. We discuss the origins of these terms as well
as their possible implications for time dependent situations such as inflation.
|
[
{
"created": "Thu, 16 Aug 2012 00:32:58 GMT",
"version": "v1"
}
] |
2015-06-11
|
[
[
"Collins",
"Hael",
"",
"Carnegie Mellon University"
],
[
"Holman",
"R.",
"",
"Carnegie Mellon University"
],
[
"Ross",
"Andreas",
"",
"Carnegie Mellon University"
]
] |
We use the in-in or Schwinger-Keldysh formalism to explore the construction and interpretation of effective field theories for time-dependent systems evolving out of equilibrium. Starting with a simple model consisting of a heavy and a light scalar field taken to be in their free vacuum states at a finite initial time, we study the effects from the heavy field on the dynamics of the light field by analyzing the equation of motion for the expectation value of the light background field. New terms appear which cannot arise from a local action of an effective field theory in terms of the light field, though they disappear in the adiabatic limit. We discuss the origins of these terms as well as their possible implications for time dependent situations such as inflation.
| 7.760815
| 7.171334
| 7.646307
| 6.685879
| 7.148298
| 6.917401
| 7.118826
| 6.893301
| 7.040387
| 7.530226
| 7.104052
| 7.159357
| 7.319623
| 6.973978
| 6.983533
| 7.005466
| 6.933922
| 6.879949
| 6.992915
| 7.011125
| 7.020328
|
1905.01343
|
Ali Chamseddine
|
Ali H. Chamseddine, Viatcheslav Mukhanov, Tobias Russ
|
Asymptotically Free Mimetic Gravity
|
14 pages
|
Eur. Phys. J. C (2019) 79: 558
|
10.1140/epjc/s10052-019-7075-y
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The idea of "asymptotically free" gravity is implemented using a constrained
mimetic scalar field. The effective gravitational constant is assumed to vanish
at some limiting curvature. As a result singularities in contracting spatially
flat Friedmann and Kasner universes are avoided. The solutions in both cases
approach de Sitter metric with a limiting curvature.We show that quantum metric
fluctuations vanish when this limiting curvature is approached.
|
[
{
"created": "Fri, 3 May 2019 19:02:39 GMT",
"version": "v1"
}
] |
2020-08-05
|
[
[
"Chamseddine",
"Ali H.",
""
],
[
"Mukhanov",
"Viatcheslav",
""
],
[
"Russ",
"Tobias",
""
]
] |
The idea of "asymptotically free" gravity is implemented using a constrained mimetic scalar field. The effective gravitational constant is assumed to vanish at some limiting curvature. As a result singularities in contracting spatially flat Friedmann and Kasner universes are avoided. The solutions in both cases approach de Sitter metric with a limiting curvature.We show that quantum metric fluctuations vanish when this limiting curvature is approached.
| 17.172503
| 15.888225
| 15.026063
| 15.5841
| 18.019306
| 15.07445
| 17.226851
| 15.573926
| 15.522154
| 17.705318
| 16.605396
| 16.303984
| 15.322282
| 15.158453
| 16.828644
| 16.185141
| 16.920265
| 15.505877
| 16.20545
| 15.317075
| 16.229784
|
0911.3806
|
Dmitry Melnikov
|
Stefano Cremonesi, Dmitry Melnikov and Yaron Oz
|
Stability of Asymptotically Schroedinger RN Black Hole and
Superconductivity
|
18 pages, 6 figures
|
JHEP 1004:048,2010
|
10.1007/JHEP04(2010)048
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We perform a perturbative (near-critical) analysis of the stability of an
asymptotically Schroedinger Reissner-Nordstrom black hole with respect to
generation of charged scalar hair. We find that apart from the expected
instability at low temperatures typical of holographic models of
superconductivity, in the presence of certain operators a similar instability
appears as well at high temperatures. We propose that the reason for such a
phase diagram could be due to peculiar features of the dual gauge theory or the
failure of the model to provide a consistent holographic dual of a
non-relativistic superconductor.
|
[
{
"created": "Thu, 19 Nov 2009 14:29:55 GMT",
"version": "v1"
}
] |
2014-11-20
|
[
[
"Cremonesi",
"Stefano",
""
],
[
"Melnikov",
"Dmitry",
""
],
[
"Oz",
"Yaron",
""
]
] |
We perform a perturbative (near-critical) analysis of the stability of an asymptotically Schroedinger Reissner-Nordstrom black hole with respect to generation of charged scalar hair. We find that apart from the expected instability at low temperatures typical of holographic models of superconductivity, in the presence of certain operators a similar instability appears as well at high temperatures. We propose that the reason for such a phase diagram could be due to peculiar features of the dual gauge theory or the failure of the model to provide a consistent holographic dual of a non-relativistic superconductor.
| 11.316399
| 9.730674
| 11.827743
| 9.956526
| 9.94401
| 9.581732
| 10.23724
| 9.540745
| 9.491158
| 11.385159
| 9.461699
| 10.012175
| 10.637752
| 10.174317
| 10.065385
| 10.313598
| 10.20703
| 10.180195
| 9.889554
| 10.771534
| 9.897784
|
1106.2846
|
Yi Wang
|
Philip Lagogiannis, Alexander Maloney, Yi Wang
|
Odd-dimensional de Sitter Space is Transparent
|
18 pages
| null | null | null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider quantum field theory in de Sitter space, focusing on the cases of
scalars, spin 1/2 fields, and symmetric and anti-symmetric tensor fields of
arbitrary spin. The free field equations in global coordinates can be reduced
to a one dimensional Schrodinger problem which possesses a remarkable
structure; the potential is of an algebraically special type which appears as a
multi-soliton solution of the KdV equation. In an odd number of spacetime
dimensions these potentials are "transparent" in the sense that their
reflection coefficients vanish identically. This has a remarkable consequence
for physics in de Sitter space. It means that odd dimensional de Sitter space
is transparent in the sense that a quantum state with no particles at past
infinity will evolve into a state with no particles in the far future. This
feature has been previously noted for scalar excitations, but the corresponding
higher spin behaviour (and the proof using algebraic techniques) is new.
|
[
{
"created": "Wed, 15 Jun 2011 00:11:01 GMT",
"version": "v1"
}
] |
2011-06-16
|
[
[
"Lagogiannis",
"Philip",
""
],
[
"Maloney",
"Alexander",
""
],
[
"Wang",
"Yi",
""
]
] |
We consider quantum field theory in de Sitter space, focusing on the cases of scalars, spin 1/2 fields, and symmetric and anti-symmetric tensor fields of arbitrary spin. The free field equations in global coordinates can be reduced to a one dimensional Schrodinger problem which possesses a remarkable structure; the potential is of an algebraically special type which appears as a multi-soliton solution of the KdV equation. In an odd number of spacetime dimensions these potentials are "transparent" in the sense that their reflection coefficients vanish identically. This has a remarkable consequence for physics in de Sitter space. It means that odd dimensional de Sitter space is transparent in the sense that a quantum state with no particles at past infinity will evolve into a state with no particles in the far future. This feature has been previously noted for scalar excitations, but the corresponding higher spin behaviour (and the proof using algebraic techniques) is new.
| 7.888271
| 8.22966
| 8.195383
| 7.557476
| 8.621762
| 7.830842
| 8.308133
| 7.969925
| 7.374853
| 8.64421
| 7.696499
| 7.631061
| 7.465428
| 7.432716
| 7.798296
| 7.508857
| 7.618537
| 7.41064
| 7.586093
| 7.516202
| 7.262252
|
1310.8314
|
Yakov Itin
|
Yakov Itin
|
Skewon no-go theorem
|
To appear in Phys. Rev. D
|
Physical Review D 88.10 (2013): 107502
|
10.1103/PhysRevD.88.107502
| null |
hep-th gr-qc physics.class-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Axion modification of the electrodynamics can be considered as produced by an
irreducible part of the constitutive pseudotensor. In this paper, we study the
modification of wave propagation produced by the second irreducible part called
skewon. We introduce the notions of skewon optic tensor and skewon optic
covector. With these devices we prove that in a pseudo-Riemannian manifold
endowed with an arbitrary skewon at least one solution of the dispersion
relation is spacelike. This means that the skewon generates superluminal wave
motion and is thus ruled out on the basis of SR principles.
|
[
{
"created": "Wed, 30 Oct 2013 20:27:26 GMT",
"version": "v1"
}
] |
2015-06-17
|
[
[
"Itin",
"Yakov",
""
]
] |
Axion modification of the electrodynamics can be considered as produced by an irreducible part of the constitutive pseudotensor. In this paper, we study the modification of wave propagation produced by the second irreducible part called skewon. We introduce the notions of skewon optic tensor and skewon optic covector. With these devices we prove that in a pseudo-Riemannian manifold endowed with an arbitrary skewon at least one solution of the dispersion relation is spacelike. This means that the skewon generates superluminal wave motion and is thus ruled out on the basis of SR principles.
| 14.096167
| 14.924471
| 14.161341
| 13.911229
| 14.28231
| 15.385528
| 15.091316
| 14.008442
| 12.915859
| 13.324986
| 14.115639
| 13.949069
| 12.704354
| 13.20289
| 13.572638
| 12.997641
| 14.037352
| 13.397348
| 12.847837
| 12.807898
| 13.451416
|
1311.4520
|
Frank Ferrari
|
Frank Ferrari (ULB and Intl. Solvay Inst.)
|
D-Brane Probes in the Matrix Model
|
39 pages, including 12 figures and one appendix; v2: typos corrected
| null |
10.1016/j.nuclphysb.2013.12.017
| null |
hep-th hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently, a new approach to large N gauge theories, based on a generalization
of the concept of D-brane probes to any gauge field theory, was proposed. In
the present note, we compute the probe action in the one matrix model with a
quartic potential. This allows to illustrate several non-trivial aspects of the
construction in an exactly solvable set-up. One of our main goal is to test the
bare bubble approximation. The approximate free energy found in this
approximation, which can be derived from a back-of-an-envelope calculation,
matches the exact result for all values of the 't Hooft coupling with a
surprising accuracy. Another goal is to illustrate the remarkable properties of
the equivariant partial gauge-fixing procedure, which is at the heart of the
formalism. For this we use a general xi-gauge to compute the brane action. The
action depends on xi in a very non-trivial way, yet we show explicitly that its
critical value does not and coincide with twice the free energy, as required by
general consistency. This is made possible by a phenomenon of ghost
condensation and the spontaneous breaking of the equivariant BRST symmetry.
|
[
{
"created": "Mon, 18 Nov 2013 20:09:59 GMT",
"version": "v1"
},
{
"created": "Fri, 9 May 2014 17:18:02 GMT",
"version": "v2"
}
] |
2014-05-12
|
[
[
"Ferrari",
"Frank",
"",
"ULB and Intl. Solvay Inst."
]
] |
Recently, a new approach to large N gauge theories, based on a generalization of the concept of D-brane probes to any gauge field theory, was proposed. In the present note, we compute the probe action in the one matrix model with a quartic potential. This allows to illustrate several non-trivial aspects of the construction in an exactly solvable set-up. One of our main goal is to test the bare bubble approximation. The approximate free energy found in this approximation, which can be derived from a back-of-an-envelope calculation, matches the exact result for all values of the 't Hooft coupling with a surprising accuracy. Another goal is to illustrate the remarkable properties of the equivariant partial gauge-fixing procedure, which is at the heart of the formalism. For this we use a general xi-gauge to compute the brane action. The action depends on xi in a very non-trivial way, yet we show explicitly that its critical value does not and coincide with twice the free energy, as required by general consistency. This is made possible by a phenomenon of ghost condensation and the spontaneous breaking of the equivariant BRST symmetry.
| 10.049061
| 10.282404
| 10.365087
| 10.081803
| 10.202356
| 10.316055
| 10.027461
| 10.786648
| 9.708825
| 11.449099
| 9.962888
| 9.869265
| 9.758951
| 9.686832
| 9.737399
| 9.837132
| 9.533022
| 9.773293
| 9.538071
| 10.078626
| 9.481257
|
2309.15657
|
Yi-Xiao Tao
|
Yi-Xiao Tao
|
Berends-Giele currents for extended gravity
|
published by prd
| null |
10.1103/PhysRevD.108.125020
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this short paper, we write down the Berends-Giele (BG) currents for
extended gravity explicitly and discuss the unifying relations of these BG
currents. This new tool, different from the double field theory current
formally, may deepen our understanding of the current Kawai-Lewellen-Tye (KLT)
relation.
|
[
{
"created": "Wed, 27 Sep 2023 13:46:53 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Oct 2023 07:19:49 GMT",
"version": "v2"
},
{
"created": "Sat, 30 Dec 2023 02:18:06 GMT",
"version": "v3"
}
] |
2024-01-02
|
[
[
"Tao",
"Yi-Xiao",
""
]
] |
In this short paper, we write down the Berends-Giele (BG) currents for extended gravity explicitly and discuss the unifying relations of these BG currents. This new tool, different from the double field theory current formally, may deepen our understanding of the current Kawai-Lewellen-Tye (KLT) relation.
| 21.466827
| 17.776829
| 22.351566
| 17.732876
| 18.876873
| 16.833191
| 19.230223
| 16.799171
| 17.434118
| 22.665678
| 18.404537
| 15.631202
| 17.88842
| 17.529316
| 16.916685
| 15.972162
| 16.658024
| 15.501432
| 16.615358
| 18.82766
| 17.242294
|
0809.0256
|
Ion Vasile Vancea
|
M. A. Santos and I. V. Vancea
|
New Two Dimensional Massless Field Theory from Bagger-Lambert-Gustavsson
Model
|
Major modifications. The interpretations of the dynamical fields
corrected. The discussion of the weak/strong coupling limits in considerably
extended in Section 4. Several formulas simplified. References added. 11
pages
|
Mod.Phys.Lett.A24:2275-2284,2009
|
10.1142/S0217732309030746
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
By compactifying the Bagger-Lambert-Gustavsson model on $\mathbb{R}^{1,1}
\times S^1$, we obtain a new two dimensional massless field theory with
dynamical fields valued in the Lie 3-algebra $\mathcal{A}$ coupled with an
SO(1,1) scalar and vector field which are valued in the set $End(\mathcal{A})$
of the endomorphisms of the Lie 3-algebra. In the limit $g_{BLG} \to \infty$
the theory reduces to a supersymmetric Lie 3-valued generalization of the
Green-Schwarz superstring in the light-cone gauge.
|
[
{
"created": "Mon, 1 Sep 2008 14:44:05 GMT",
"version": "v1"
},
{
"created": "Fri, 31 Oct 2008 20:26:24 GMT",
"version": "v2"
}
] |
2009-12-15
|
[
[
"Santos",
"M. A.",
""
],
[
"Vancea",
"I. V.",
""
]
] |
By compactifying the Bagger-Lambert-Gustavsson model on $\mathbb{R}^{1,1} \times S^1$, we obtain a new two dimensional massless field theory with dynamical fields valued in the Lie 3-algebra $\mathcal{A}$ coupled with an SO(1,1) scalar and vector field which are valued in the set $End(\mathcal{A})$ of the endomorphisms of the Lie 3-algebra. In the limit $g_{BLG} \to \infty$ the theory reduces to a supersymmetric Lie 3-valued generalization of the Green-Schwarz superstring in the light-cone gauge.
| 5.611905
| 5.319988
| 6.67
| 5.02108
| 5.108411
| 5.193704
| 5.487803
| 5.178686
| 4.892937
| 6.228302
| 4.798729
| 4.700848
| 5.294728
| 4.844861
| 4.931189
| 4.851715
| 4.646305
| 5.026467
| 4.903989
| 5.388824
| 4.700297
|
hep-th/9505061
|
Guido
|
A.A. Bytsenko, G. Cognola, L. Vanzo and S. Zerbini
|
Quantum Fields and Extended Objects in Space-Times with Constant
Curvature Spatial Section
|
Latex file, 122 pages
|
Phys.Rept.266:1-126,1996
|
10.1016/0370-1573(95)00053-4
|
UTF 325
|
hep-th
| null |
The heat-kernel expansion and $\zeta$-regularization techniques for quantum
field theory and extended objects on curved space-times are reviewed. In
particular, ultrastatic space-times with spatial section consisting in manifold
with constant curvature are discussed in detail. Several mathematical results,
relevant to physical applications are presented, including exact solutions of
the heat-kernel equation, a simple exposition of hyperbolic geometry and an
elementary derivation of the Selberg trace formula. With regards to the
physical applications, the vacuum energy for scalar fields, the one-loop
renormalization of a self-interacting scalar field theory on a hyperbolic
space-time, with a discussion on the topological symmetry breaking, the finite
temperature effects and the Bose-Einstein condensation, are considered. Some
attempts to generalize the results to extended objects are also presented,
including some remarks on path integral quantization, asymptotic properties of
extended objects and a novel representation for the one-loop (super)string free
energy.
|
[
{
"created": "Wed, 10 May 1995 18:05:20 GMT",
"version": "v1"
}
] |
2011-08-17
|
[
[
"Bytsenko",
"A. A.",
""
],
[
"Cognola",
"G.",
""
],
[
"Vanzo",
"L.",
""
],
[
"Zerbini",
"S.",
""
]
] |
The heat-kernel expansion and $\zeta$-regularization techniques for quantum field theory and extended objects on curved space-times are reviewed. In particular, ultrastatic space-times with spatial section consisting in manifold with constant curvature are discussed in detail. Several mathematical results, relevant to physical applications are presented, including exact solutions of the heat-kernel equation, a simple exposition of hyperbolic geometry and an elementary derivation of the Selberg trace formula. With regards to the physical applications, the vacuum energy for scalar fields, the one-loop renormalization of a self-interacting scalar field theory on a hyperbolic space-time, with a discussion on the topological symmetry breaking, the finite temperature effects and the Bose-Einstein condensation, are considered. Some attempts to generalize the results to extended objects are also presented, including some remarks on path integral quantization, asymptotic properties of extended objects and a novel representation for the one-loop (super)string free energy.
| 10.035729
| 9.923572
| 10.117448
| 9.486006
| 10.270946
| 10.03622
| 10.143707
| 9.8755
| 9.944346
| 10.844311
| 9.582002
| 9.608852
| 9.729342
| 9.560305
| 9.531471
| 9.636882
| 9.494642
| 9.584629
| 9.718851
| 9.584359
| 9.6895
|
hep-th/0406112
|
Folkert Muller-Hoissen
|
Aristophanes Dimakis, Folkert Muller-Hoissen
|
Explorations of the Extended ncKP Hierarchy
|
34 pages, correction of typos in (7.2) and (7.5)
|
J.Phys. A37 (2004) 10899-10930
|
10.1088/0305-4470/37/45/011
| null |
hep-th math-ph math.MP nlin.SI
| null |
A recently obtained extension (xncKP) of the Moyal-deformed KP hierarchy
(ncKP hierarchy) by a set of evolution equations in the Moyal-deformation
parameters is further explored. Formulae are derived to compute these equations
efficiently. Reductions of the xncKP hierarchy are treated, in particular to
the extended ncKdV and ncBoussinesq hierarchies. Furthermore, a good part of
the Sato formalism for the KP hierarchy is carried over to the generalized
framework. In particular, the well-known bilinear identity theorem for the KP
hierarchy, expressed in terms of the (formal) Baker-Akhiezer function, extends
to the xncKP hierarchy. Moreover, it is demonstrated that N-soliton solutions
of the ncKP equation are also solutions of the first few deformation equations.
This is shown to be related to the existence of certain families of algebraic
identities.
|
[
{
"created": "Sun, 13 Jun 2004 20:31:29 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Jun 2004 17:45:08 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Dimakis",
"Aristophanes",
""
],
[
"Muller-Hoissen",
"Folkert",
""
]
] |
A recently obtained extension (xncKP) of the Moyal-deformed KP hierarchy (ncKP hierarchy) by a set of evolution equations in the Moyal-deformation parameters is further explored. Formulae are derived to compute these equations efficiently. Reductions of the xncKP hierarchy are treated, in particular to the extended ncKdV and ncBoussinesq hierarchies. Furthermore, a good part of the Sato formalism for the KP hierarchy is carried over to the generalized framework. In particular, the well-known bilinear identity theorem for the KP hierarchy, expressed in terms of the (formal) Baker-Akhiezer function, extends to the xncKP hierarchy. Moreover, it is demonstrated that N-soliton solutions of the ncKP equation are also solutions of the first few deformation equations. This is shown to be related to the existence of certain families of algebraic identities.
| 9.040614
| 8.6176
| 9.702432
| 7.821793
| 8.829238
| 8.674253
| 8.56072
| 8.476747
| 8.258284
| 9.697928
| 8.505768
| 7.965439
| 7.761127
| 8.039064
| 7.724548
| 7.765823
| 7.782646
| 7.994822
| 7.854749
| 8.054159
| 7.79451
|
hep-th/9903051
|
Jing Wang
|
M. Cveti\v{c}, L. Everett, P. Langacker, and J. Wang
|
Blowing-Up the Four-Dimensional Z_3 Orientifold
|
19 pages, LateX
|
JHEP 9904:020,1999
|
10.1088/1126-6708/1999/04/020
| null |
hep-th hep-ph
| null |
We study the blowing-up of the four-dimensional Z_3 orientifold of
Angelantonj, Bianchi, Pradisi, Sagnotti and Stanev (ABPSS) by giving nonzero
vacuum expectation values (VEV's) to the twisted sector moduli blowing-up
modes. The blowing-up procedure induces a Fayet-Iliopoulos (FI) term for the
``anomalous'' U(1), whose magnitude depends linearly on the VEV's of the
blowing-up modes. To preserve the N=1 supersymmetry, non-Abelian matter fields
are forced to acquire nonzero VEV's, thus breaking (some of) the non-Abelian
gauge structure and decoupling some of the matter fields. We determine the form
of the FI term, construct explicit examples of (non-Abelian) D and F flat
directions, and determine the surviving gauge groups of the restabilized vacua.
We also determine the mass spectra, for which the restabilization reduces the
number of families.
|
[
{
"created": "Fri, 5 Mar 1999 00:05:41 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Cvetič",
"M.",
""
],
[
"Everett",
"L.",
""
],
[
"Langacker",
"P.",
""
],
[
"Wang",
"J.",
""
]
] |
We study the blowing-up of the four-dimensional Z_3 orientifold of Angelantonj, Bianchi, Pradisi, Sagnotti and Stanev (ABPSS) by giving nonzero vacuum expectation values (VEV's) to the twisted sector moduli blowing-up modes. The blowing-up procedure induces a Fayet-Iliopoulos (FI) term for the ``anomalous'' U(1), whose magnitude depends linearly on the VEV's of the blowing-up modes. To preserve the N=1 supersymmetry, non-Abelian matter fields are forced to acquire nonzero VEV's, thus breaking (some of) the non-Abelian gauge structure and decoupling some of the matter fields. We determine the form of the FI term, construct explicit examples of (non-Abelian) D and F flat directions, and determine the surviving gauge groups of the restabilized vacua. We also determine the mass spectra, for which the restabilization reduces the number of families.
| 6.827281
| 6.838908
| 8.094595
| 7.054653
| 7.30977
| 6.901454
| 8.517303
| 7.277522
| 7.28595
| 8.534238
| 7.027542
| 6.671558
| 6.947387
| 6.433733
| 6.737181
| 6.77038
| 7.18958
| 6.500085
| 6.615212
| 7.203293
| 6.621203
|
0809.3847
|
Freddy Zen Permana
|
Freddy P. Zen, Arianto, Bobby E. Gunara, Triyanta, and A. Purwanto
(Theor. Phys. Lab., ICTMP, Institut Teknologi Bandung, Indonesia)
|
Cosmological evolution of interacting dark energy in Lorentz violation
|
14 pages, published version
|
Euro. Phys. Journal C, Vol. 63, No. 3, 2009, pp. 477-490
|
10.1140/epjc/s10052-009-1104-1
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The cosmological evolution of an interacting scalar field model in which the
scalar field interacts with dark matter, radiation, and baryon via Lorentz
violation is investigated. We propose a model of interaction through the
effective coupling $\bar{\beta}$. Using dynamical system analysis, we study the
linear dynamics of an interacting model and show that the dynamics of critical
points are completely controlled by two parameters. Some results can be
mentioned as follows. Firstly, the sequence of radiation, the dark matter, and
the scalar field dark energy exist and baryons are sub dominant. Secondly, the
model also allows the possibility of having a universe in the phantom phase
with constant potential. Thirdly, the effective gravitational constant varies
with respect to time through $\bar{\beta}$. In particular, we consider a simple
case where $\bar{\beta}$ has a quadratic form and has a good agreement with the
modified $\Lambda$CDM and quintessence models. Finally, we also calculate the
first post--Newtonian parameters for our model.
|
[
{
"created": "Tue, 23 Sep 2008 04:19:13 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Jul 2009 07:01:10 GMT",
"version": "v2"
},
{
"created": "Tue, 29 Sep 2009 05:52:11 GMT",
"version": "v3"
}
] |
2009-09-29
|
[
[
"Zen",
"Freddy P.",
"",
"Theor. Phys. Lab., ICTMP, Institut Teknologi Bandung, Indonesia"
],
[
"Arianto",
"",
"",
"Theor. Phys. Lab., ICTMP, Institut Teknologi Bandung, Indonesia"
],
[
"Gunara",
"Bobby E.",
"",
"Theor. Phys. Lab., ICTMP, Institut Teknologi Bandung, Indonesia"
],
[
"Triyanta",
"",
"",
"Theor. Phys. Lab., ICTMP, Institut Teknologi Bandung, Indonesia"
],
[
"Purwanto",
"A.",
"",
"Theor. Phys. Lab., ICTMP, Institut Teknologi Bandung, Indonesia"
]
] |
The cosmological evolution of an interacting scalar field model in which the scalar field interacts with dark matter, radiation, and baryon via Lorentz violation is investigated. We propose a model of interaction through the effective coupling $\bar{\beta}$. Using dynamical system analysis, we study the linear dynamics of an interacting model and show that the dynamics of critical points are completely controlled by two parameters. Some results can be mentioned as follows. Firstly, the sequence of radiation, the dark matter, and the scalar field dark energy exist and baryons are sub dominant. Secondly, the model also allows the possibility of having a universe in the phantom phase with constant potential. Thirdly, the effective gravitational constant varies with respect to time through $\bar{\beta}$. In particular, we consider a simple case where $\bar{\beta}$ has a quadratic form and has a good agreement with the modified $\Lambda$CDM and quintessence models. Finally, we also calculate the first post--Newtonian parameters for our model.
| 9.871644
| 10.912827
| 9.596748
| 9.188314
| 10.065619
| 9.933904
| 11.047684
| 9.932023
| 10.022485
| 9.377625
| 9.827939
| 9.741376
| 9.450767
| 9.296515
| 9.507811
| 9.208319
| 9.855231
| 9.312547
| 9.277119
| 9.534726
| 9.636856
|
1201.0608
|
Matteo Beccaria
|
Matteo Beccaria, Guido Macorini
|
Resummation of semiclassical short folded string
|
19 pages
| null |
10.1007/JHEP02(2012)092
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We reconsider semiclassical quantization of folded string spinning in AdS_3
part of AdS_5 X S^5 using integrability-based (algebraic curve) method. We
focus on the "short string" (small spin S) limit with the angular momentum J in
S^5 scaled down according to \cal J = rho \sqrt \cal S in terms of the
variables \cal J = J/\sqrt\lambda, \cal S = S/\sqrt\lambda. The semiclassical
string energy in this particular scaling limit admits the double expansion E =
\sum_{n=0}^{\infty}\sum_{p=0}^{\infty} (\sqrt\lambda)^{1-n}\,a_{n,p}(rho)\,
\cal S^{p+1/2}. It behaves smoothly as J -> 0 and partially resums recent
results by Gromov and Valatka. We explicitly compute various one-loop
coefficients a_{1,p}(rho) by summing over the fluctuation frequencies for
integrable perturbations around the classical solution. For the simple folded
string, the result agrees with what could be derived exploiting a recent
conjecture of Basso. However, the method can be extended to more general
situations. As an example, we consider the m-folded string where Basso's
conjecture fails. For this classical solution, we present the exact values of
a_{1,0}(rho) and a_{1,1}(rho) for m=2, 3, 4, 5 and explain how to work out the
general case.
|
[
{
"created": "Tue, 3 Jan 2012 11:04:13 GMT",
"version": "v1"
}
] |
2015-06-03
|
[
[
"Beccaria",
"Matteo",
""
],
[
"Macorini",
"Guido",
""
]
] |
We reconsider semiclassical quantization of folded string spinning in AdS_3 part of AdS_5 X S^5 using integrability-based (algebraic curve) method. We focus on the "short string" (small spin S) limit with the angular momentum J in S^5 scaled down according to \cal J = rho \sqrt \cal S in terms of the variables \cal J = J/\sqrt\lambda, \cal S = S/\sqrt\lambda. The semiclassical string energy in this particular scaling limit admits the double expansion E = \sum_{n=0}^{\infty}\sum_{p=0}^{\infty} (\sqrt\lambda)^{1-n}\,a_{n,p}(rho)\, \cal S^{p+1/2}. It behaves smoothly as J -> 0 and partially resums recent results by Gromov and Valatka. We explicitly compute various one-loop coefficients a_{1,p}(rho) by summing over the fluctuation frequencies for integrable perturbations around the classical solution. For the simple folded string, the result agrees with what could be derived exploiting a recent conjecture of Basso. However, the method can be extended to more general situations. As an example, we consider the m-folded string where Basso's conjecture fails. For this classical solution, we present the exact values of a_{1,0}(rho) and a_{1,1}(rho) for m=2, 3, 4, 5 and explain how to work out the general case.
| 7.926792
| 7.376517
| 9.801024
| 7.746355
| 8.115276
| 7.835322
| 7.215262
| 7.536848
| 7.524076
| 9.929276
| 7.065944
| 7.542861
| 8.203195
| 7.441922
| 7.76031
| 7.569453
| 7.666723
| 7.475247
| 7.734616
| 7.866419
| 7.342112
|
hep-th/0108103
|
Shesansu Sekhar Pal
|
Shesansu Sekhar Pal
|
A Note on Noncommutative String theory and its low energy limit
|
14 pages including 2 figures
|
Int.J.Mod.Phys.A18:1733-1748,2003
|
10.1142/S0217751X03014162
| null |
hep-th
| null |
The noncommutative string theory is described by embedding open string theory
in a constant second rank antisymmetric $B_{\mu\nu}$ field and the
noncommutative gauge theory is defined by a deformed $\star$ product. As a
check, study of various scattering amplitudes in both noncommutative string and
noncommutative gauge theory confirm that in the $\alpha^{'}\to 0$ limit, the
noncommutative string theoretic amplitude goes over to the noncommutative gauge
theoretic amplitude, and the couplings are related as
$g_{YM}=G_0\sqrt{\frac{1}{2\alpha^{'}}}$. Furthermore we show that in this
limit there will not be any correction to the gauge theoretic action because of
absence of massive modes. We get sin/cos factors in the scattering amplitudes
depending on the odd/even number of external photons.
|
[
{
"created": "Tue, 14 Aug 2001 17:02:57 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Pal",
"Shesansu Sekhar",
""
]
] |
The noncommutative string theory is described by embedding open string theory in a constant second rank antisymmetric $B_{\mu\nu}$ field and the noncommutative gauge theory is defined by a deformed $\star$ product. As a check, study of various scattering amplitudes in both noncommutative string and noncommutative gauge theory confirm that in the $\alpha^{'}\to 0$ limit, the noncommutative string theoretic amplitude goes over to the noncommutative gauge theoretic amplitude, and the couplings are related as $g_{YM}=G_0\sqrt{\frac{1}{2\alpha^{'}}}$. Furthermore we show that in this limit there will not be any correction to the gauge theoretic action because of absence of massive modes. We get sin/cos factors in the scattering amplitudes depending on the odd/even number of external photons.
| 8.477703
| 8.82462
| 8.576378
| 7.62669
| 7.821193
| 7.903126
| 8.455659
| 7.491946
| 7.236882
| 8.127478
| 7.636486
| 7.86518
| 8.160029
| 7.743361
| 7.660049
| 7.84828
| 7.45926
| 7.372151
| 7.61056
| 8.272943
| 7.582605
|
0903.4107
|
Roberto Volpato
|
Matthias R. Gaberdiel, Roberto Volpato
|
Higher genus partition functions of meromorphic conformal field theories
|
43 pages, 7 figures
|
JHEP 0906:048,2009
|
10.1088/1126-6708/2009/06/048
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is shown that the higher genus vacuum amplitudes of a meromorphic
conformal field theory determine the affine symmetry of the theory uniquely,
and we give arguments that suggest that also the representation content with
respect to this affine symmetry is specified, up to automorphisms of the finite
Lie algebra. We illustrate our findings with the self-dual theories at c=16 and
c=24; in particular, we give an elementary argument that shows that the vacuum
amplitudes of the E_8\times E_8 theory and the Spin(32)/Z_2 theory differ at
genus g=5. The fact that the discrepancy only arises at rather high genus is a
consequence of the modular properties of higher genus amplitudes at small
central charges. In fact, we show that for c\leq 24 the genus one partition
function specifies already the partition functions up to g\leq 4 uniquely.
Finally we explain how our results generalise to non-meromorphic conformal
field theories.
|
[
{
"created": "Tue, 24 Mar 2009 15:59:24 GMT",
"version": "v1"
}
] |
2009-06-19
|
[
[
"Gaberdiel",
"Matthias R.",
""
],
[
"Volpato",
"Roberto",
""
]
] |
It is shown that the higher genus vacuum amplitudes of a meromorphic conformal field theory determine the affine symmetry of the theory uniquely, and we give arguments that suggest that also the representation content with respect to this affine symmetry is specified, up to automorphisms of the finite Lie algebra. We illustrate our findings with the self-dual theories at c=16 and c=24; in particular, we give an elementary argument that shows that the vacuum amplitudes of the E_8\times E_8 theory and the Spin(32)/Z_2 theory differ at genus g=5. The fact that the discrepancy only arises at rather high genus is a consequence of the modular properties of higher genus amplitudes at small central charges. In fact, we show that for c\leq 24 the genus one partition function specifies already the partition functions up to g\leq 4 uniquely. Finally we explain how our results generalise to non-meromorphic conformal field theories.
| 7.138958
| 7.479358
| 7.853111
| 7.271679
| 7.636392
| 7.966583
| 7.902843
| 7.551093
| 7.492549
| 8.899245
| 7.28476
| 6.996226
| 7.341168
| 6.804113
| 6.893401
| 6.954349
| 6.911255
| 6.887135
| 7.028649
| 7.071554
| 6.828873
|
hep-th/0210118
|
Wang Xiao-jun
|
Xiao-Jun Wang
|
Holography and (1+1)-dimension non-relativistic Quantum Mechanics
|
4 pages, no fig, use revtex4.cls
| null | null | null |
hep-th
| null |
I generalize classical gravity/quantum gauge theory duality in AdS/CFT
correspondence to (1+1)-dimensional non-relativistic quantum mechanical system.
It is shown that (1+1)-dimensional non-relativistic quantum mechanical system
can be reproduced from holographic projection of (2+1)-dimension classical
gravity at semiclassical limit. In this explanation every quantum path in
2-dimension corresponds to a classical path of 3-dimension gravity under
definite holographic projection. I consider free particle and harmonic
oscillator as two examples and find their dual gravity description.
|
[
{
"created": "Sun, 13 Oct 2002 05:22:36 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Dec 2002 03:39:49 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Wang",
"Xiao-Jun",
""
]
] |
I generalize classical gravity/quantum gauge theory duality in AdS/CFT correspondence to (1+1)-dimensional non-relativistic quantum mechanical system. It is shown that (1+1)-dimensional non-relativistic quantum mechanical system can be reproduced from holographic projection of (2+1)-dimension classical gravity at semiclassical limit. In this explanation every quantum path in 2-dimension corresponds to a classical path of 3-dimension gravity under definite holographic projection. I consider free particle and harmonic oscillator as two examples and find their dual gravity description.
| 9.556777
| 9.767121
| 9.563809
| 9.068718
| 10.08331
| 9.593232
| 9.555818
| 9.058432
| 9.547492
| 10.720237
| 9.028871
| 9.355046
| 9.077961
| 9.158034
| 9.650435
| 9.484253
| 9.577569
| 9.184698
| 9.47691
| 9.718094
| 9.03094
|
hep-th/9609093
|
Hanns Schulz-Mirbach
|
C. Syros (University of Patras), C. Schulz-Mirbach (TU
Hamburg-Harburg)
|
Quantum Chrono-Topology of Nuclear and Sub-Nuclear Reactions
|
84 pages with 17 Postscript figures, LaTeX, compile paper.tex to
produce Postscript, Presented at the 7th Symposium of the Hellenic Nuclear
Physics Society, Athens 24 - 25 May 1996, uses epsf.sty, several typos
corrected
| null | null | null |
hep-th
| null |
A quantum time topological space is developed and applied to solve some
problems about quantum theory. It is disconnected and satifies specific
separation axioms. The degree of disconnectedness of the time-space is a
decreasing function of the number of simultaneous or almost simultaneous
fundamental interactions. In this topology the U+R Penrose dynamics is
implemented by means of a time evolution operator in QFT. This operator is
unitary or non-unitary, depending on the type of quantization of the field
action-integral. The time evolution operator allows to find the Boltzmann
factor in QFT in the above space-time. From an elementary solution of the
Liouville equation the quantization of the time follows and the Planck constant
has been calculated. Compatibility between time-reversal and irreversibility is
spontaneously obtained. The renormalization of the field action-integral
follows from quantization. The solution of the measurement problem and the wave
function reduction have been deduced in the framework of the Schroedinger
theory. The Schroedinger cat's paradoxon and the paradoxon of the wave packet
decay have been resolved.
|
[
{
"created": "Wed, 11 Sep 1996 14:47:24 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Feb 1997 15:56:14 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Syros",
"C.",
"",
"University of Patras"
],
[
"Schulz-Mirbach",
"C.",
"",
"TU\n Hamburg-Harburg"
]
] |
A quantum time topological space is developed and applied to solve some problems about quantum theory. It is disconnected and satifies specific separation axioms. The degree of disconnectedness of the time-space is a decreasing function of the number of simultaneous or almost simultaneous fundamental interactions. In this topology the U+R Penrose dynamics is implemented by means of a time evolution operator in QFT. This operator is unitary or non-unitary, depending on the type of quantization of the field action-integral. The time evolution operator allows to find the Boltzmann factor in QFT in the above space-time. From an elementary solution of the Liouville equation the quantization of the time follows and the Planck constant has been calculated. Compatibility between time-reversal and irreversibility is spontaneously obtained. The renormalization of the field action-integral follows from quantization. The solution of the measurement problem and the wave function reduction have been deduced in the framework of the Schroedinger theory. The Schroedinger cat's paradoxon and the paradoxon of the wave packet decay have been resolved.
| 17.565437
| 19.474134
| 18.219286
| 16.614857
| 19.685429
| 18.669628
| 17.745684
| 17.043013
| 18.831795
| 19.00201
| 16.518654
| 17.066479
| 16.242331
| 16.719921
| 16.560932
| 17.384867
| 16.687654
| 16.606184
| 16.634901
| 16.449446
| 16.830214
|
2209.01204
|
Andrea Manenti
|
Agnese Bissi, Giulia Fardelli, Andrea Manenti, Xinan Zhou
|
Spinning correlators in $\mathcal{N} = 2$ SCFTs: Superspace and AdS
amplitudes
|
53 pages
|
JHEP 01 (2023) 021
|
10.1007/JHEP01(2023)021
|
UUITP-36/22
|
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We study four-point functions of spinning operators in the flavor current
multiplet in four dimensional $\mathcal{N}=2$ SCFTs, using superspace
techniques. In particular we explicitly construct the differential operators
relating the different components of the super-correlator. As a byproduct of
our analysis, we report the computation of the four-point amplitudes of gluons
in bosonic Yang-Mills theories on $\mathrm{AdS}_5$ and we give evidence of an
AdS double copy relation between the gluon amplitude and its gravitational
counterpart.
|
[
{
"created": "Fri, 2 Sep 2022 17:55:24 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Jan 2023 18:34:59 GMT",
"version": "v2"
}
] |
2023-01-26
|
[
[
"Bissi",
"Agnese",
""
],
[
"Fardelli",
"Giulia",
""
],
[
"Manenti",
"Andrea",
""
],
[
"Zhou",
"Xinan",
""
]
] |
We study four-point functions of spinning operators in the flavor current multiplet in four dimensional $\mathcal{N}=2$ SCFTs, using superspace techniques. In particular we explicitly construct the differential operators relating the different components of the super-correlator. As a byproduct of our analysis, we report the computation of the four-point amplitudes of gluons in bosonic Yang-Mills theories on $\mathrm{AdS}_5$ and we give evidence of an AdS double copy relation between the gluon amplitude and its gravitational counterpart.
| 8.459404
| 6.470059
| 8.854703
| 6.962293
| 7.082998
| 7.242518
| 7.155505
| 7.084625
| 6.940483
| 10.621756
| 6.45441
| 7.07887
| 8.45257
| 7.4677
| 8.05384
| 7.484753
| 7.207477
| 7.163508
| 7.591399
| 8.525512
| 7.399491
|
0806.4044
|
Kazuyuki Furuuchi
|
Kazuyuki Furuuchi, Sheng-Yu Darren Shih, Tomohisa Takimi
|
M-Theory Superalgebra From Multiple Membranes
|
v1 1+17 pages; v2 refs added
|
JHEP0808:072,2008
|
10.1088/1126-6708/2008/08/072
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate space-time supersymmetry of the model of multiple M2-branes
proposed by Bagger-Lambert and Gustavsson. When there is a central element in
Lie 3-algebra, the model possesses an extra symmetry shifting the fermions in
the central element. Together with the original worldvolume supersymmetry
transformation, we construct major part of the eleven dimensional space-time
super-Poincar\'{e} algebra with central extensions. Implications to transverse
five-branes in the matrix model for M-theory are also discussed.
|
[
{
"created": "Wed, 25 Jun 2008 08:23:10 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Jun 2008 03:07:38 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Furuuchi",
"Kazuyuki",
""
],
[
"Shih",
"Sheng-Yu Darren",
""
],
[
"Takimi",
"Tomohisa",
""
]
] |
We investigate space-time supersymmetry of the model of multiple M2-branes proposed by Bagger-Lambert and Gustavsson. When there is a central element in Lie 3-algebra, the model possesses an extra symmetry shifting the fermions in the central element. Together with the original worldvolume supersymmetry transformation, we construct major part of the eleven dimensional space-time super-Poincar\'{e} algebra with central extensions. Implications to transverse five-branes in the matrix model for M-theory are also discussed.
| 8.991769
| 7.84167
| 10.766286
| 7.65848
| 8.025459
| 8.569473
| 7.433056
| 7.603715
| 8.362942
| 10.473611
| 8.152411
| 8.330133
| 9.029923
| 8.099739
| 8.12461
| 8.389012
| 8.54963
| 8.6385
| 8.139809
| 9.241737
| 8.222397
|
hep-th/0605201
|
Keshav Dasgupta
|
Keshav Dasgupta, Marc Grisaru, Rhiannon Gwyn, Sheldon Katz, Anke
Knauf, Radu Tatar
|
Gauge-Gravity Dualities, Dipoles and New Non-Kahler Manifolds
|
Harvmac, 80 pages, 4 .eps figures; v2: Some typos corrected and new
references added; v3: More typos corrected and references updated. Final
version to appear in Nucl. Phys. B
|
Nucl.Phys.B755:21-78,2006
|
10.1016/j.nuclphysb.2006.07.026
|
ILL-(TH)-06-5, LTH-704
|
hep-th
| null |
In this work we explore many directions in the framework of gauge-gravity
dualities. In type IIB theory we give an explicit derivation of the local
metric for five branes wrapped on rigid two-cycles. Our derivation involves
various interplays between warp factors, dualities and fluxes and the final
result confirms our earlier predictions. We also find a novel dipole-like
deformation of the background due to an inherent orientifold projection in the
full global geometry. The supergravity solution for this deformation takes into
account various things like the presence of a non-trivial background topology
and fluxes as well as branes. Considering these, we manage to calculate the
precise local solution using equations of motion. We also show that this
dipole-like deformation has the desired property of decoupling the Kaluza-Klein
modes from the IR gauge theory. Finally, for the heterotic theory we find new
non-Kahler complex manifolds that partake in the full gauge-gravity dualities
and study the mathematical structures of these manifolds including the torsion
classes, Betti numbers and other topological data.
|
[
{
"created": "Fri, 19 May 2006 20:10:12 GMT",
"version": "v1"
},
{
"created": "Sat, 3 Jun 2006 20:46:04 GMT",
"version": "v2"
},
{
"created": "Tue, 8 Aug 2006 17:25:23 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Dasgupta",
"Keshav",
""
],
[
"Grisaru",
"Marc",
""
],
[
"Gwyn",
"Rhiannon",
""
],
[
"Katz",
"Sheldon",
""
],
[
"Knauf",
"Anke",
""
],
[
"Tatar",
"Radu",
""
]
] |
In this work we explore many directions in the framework of gauge-gravity dualities. In type IIB theory we give an explicit derivation of the local metric for five branes wrapped on rigid two-cycles. Our derivation involves various interplays between warp factors, dualities and fluxes and the final result confirms our earlier predictions. We also find a novel dipole-like deformation of the background due to an inherent orientifold projection in the full global geometry. The supergravity solution for this deformation takes into account various things like the presence of a non-trivial background topology and fluxes as well as branes. Considering these, we manage to calculate the precise local solution using equations of motion. We also show that this dipole-like deformation has the desired property of decoupling the Kaluza-Klein modes from the IR gauge theory. Finally, for the heterotic theory we find new non-Kahler complex manifolds that partake in the full gauge-gravity dualities and study the mathematical structures of these manifolds including the torsion classes, Betti numbers and other topological data.
| 13.311979
| 12.620123
| 14.908574
| 13.196033
| 13.441298
| 13.761927
| 13.640611
| 13.043687
| 12.964791
| 15.455595
| 12.410907
| 13.204893
| 13.716846
| 13.090104
| 13.393438
| 13.223421
| 13.093094
| 13.106168
| 12.941135
| 13.322993
| 12.87011
|
1109.5564
|
Yasuyuki Hatsuda
|
Yasuyuki Hatsuda, Katsushi Ito, Yuji Satoh
|
T-functions and multi-gluon scattering amplitudes
|
36 pages, 5 figures, v2: published version, v3: minor corrections
| null |
10.1007/JHEP02(2012)003
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study gluon scattering amplitudes/Wilson loops in N=4 super Yang-Mills
theory at strong coupling which correspond to minimal surfaces with a
light-like polygonal boundary in AdS_3. We find a concise expression of the
remainder function in terms of the T-function of the associated thermodynamic
Bethe ansatz (TBA) system. Continuing our previous work on the analytic
expansion around the CFT/regular-polygonal limit, we derive a formula of the
leading-order expansion for the general 2n-point remainder function. The
T-system allows us to encode its momentum dependence in only one function of
the TBA mass parameters, which is obtained by conformal perturbation theory. We
compute its explicit form in the single mass cases. We also find that the
rescaled remainder functions at strong coupling and at two loops are close to
each other, and their ratio at the leading order approaches a constant near 0.9
for large n.
|
[
{
"created": "Mon, 26 Sep 2011 13:44:27 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Feb 2012 08:20:30 GMT",
"version": "v2"
},
{
"created": "Sat, 12 Oct 2013 04:10:21 GMT",
"version": "v3"
}
] |
2015-05-30
|
[
[
"Hatsuda",
"Yasuyuki",
""
],
[
"Ito",
"Katsushi",
""
],
[
"Satoh",
"Yuji",
""
]
] |
We study gluon scattering amplitudes/Wilson loops in N=4 super Yang-Mills theory at strong coupling which correspond to minimal surfaces with a light-like polygonal boundary in AdS_3. We find a concise expression of the remainder function in terms of the T-function of the associated thermodynamic Bethe ansatz (TBA) system. Continuing our previous work on the analytic expansion around the CFT/regular-polygonal limit, we derive a formula of the leading-order expansion for the general 2n-point remainder function. The T-system allows us to encode its momentum dependence in only one function of the TBA mass parameters, which is obtained by conformal perturbation theory. We compute its explicit form in the single mass cases. We also find that the rescaled remainder functions at strong coupling and at two loops are close to each other, and their ratio at the leading order approaches a constant near 0.9 for large n.
| 10.985819
| 8.91927
| 12.339849
| 9.511529
| 11.491488
| 9.261642
| 8.975925
| 9.379269
| 9.532071
| 13.136692
| 10.011494
| 9.921757
| 11.559701
| 9.98024
| 10.59636
| 10.670012
| 10.2024
| 9.790212
| 10.151311
| 11.63812
| 10.200839
|
1211.1273
|
Alexander Reshetnyak
|
Alexander A. Reshetnyak
|
General Lagrangian Formulation for Higher Spin Fields with Arbitrary
Index Symmetry. 2. Fermionic fields
|
69 pages, no figures, published version, misprints with HS
subsuperalgebra osp(1|2k) corrected
|
Nuclear Physics, Section B 869 (2013), pp. 523-597
|
10.1016/j.nuclphysb.2012.12.010
| null |
hep-th math-ph math.MP math.RT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We continue the construction of a Lagrangian description of irreducible
half-integer higher-spin representations of the Poincare group with an
arbitrary Young tableaux having $k$ rows, on a basis of the BRST--BFV approach
suggested for bosonic fields in our first article (Nucl. Phys. B862 (2012) 270,
[arXiv:1110.5044[hep-th]). Starting from a description of fermionic
mixed-symmetry higher-spin fields in a flat space of any dimension in terms of
an auxiliary Fock space associated with a special Poincare module, we realize a
conversion of the initial operator constraint system (constructed with respect
to the relations extracting irreducible Poincare-group representations) into a
system of first-class constraints. To do this, we find, in first time, by means
of generalized Verma module the auxiliary representations of the constraint
subsuperalgebra, to be isomorphic due to Howe duality to $osp(k|2k)$
superalgebra, and containing the subsystem of second-class constraints in terms
of new oscillator variables. We suggest a universal procedure of finding
unconstrained gauge-invariant Lagrangians with reducible gauge symmetries,
describing the dynamics of both massless and massive fermionic fields of any
spin. It is shown that the space of BRST cohomologies with a vanishing ghost
number is determined only by constraints corresponding to an irreducible
Poincare-group representation. As examples of the general approach, we propose
a method of Lagrangian construction for fermionic fields subject to an
arbitrary Young tableaux having 3 rows, and obtain a gauge-invariant Lagrangian
for a new model of a massless rank-3 spin-tensor field of spin (5/2,3/2) with
first-stage reducible gauge symmetries and a non-gauge Lagrangian for a massive
rank-3 spin-tensor field of spin (5/2,3/2).
|
[
{
"created": "Tue, 6 Nov 2012 15:46:43 GMT",
"version": "v1"
},
{
"created": "Sun, 11 Nov 2012 10:51:26 GMT",
"version": "v2"
},
{
"created": "Tue, 20 Nov 2012 16:09:04 GMT",
"version": "v3"
},
{
"created": "Wed, 9 Jan 2013 06:46:39 GMT",
"version": "v4"
},
{
"created": "Mon, 8 Oct 2018 04:36:59 GMT",
"version": "v5"
}
] |
2018-10-09
|
[
[
"Reshetnyak",
"Alexander A.",
""
]
] |
We continue the construction of a Lagrangian description of irreducible half-integer higher-spin representations of the Poincare group with an arbitrary Young tableaux having $k$ rows, on a basis of the BRST--BFV approach suggested for bosonic fields in our first article (Nucl. Phys. B862 (2012) 270, [arXiv:1110.5044[hep-th]). Starting from a description of fermionic mixed-symmetry higher-spin fields in a flat space of any dimension in terms of an auxiliary Fock space associated with a special Poincare module, we realize a conversion of the initial operator constraint system (constructed with respect to the relations extracting irreducible Poincare-group representations) into a system of first-class constraints. To do this, we find, in first time, by means of generalized Verma module the auxiliary representations of the constraint subsuperalgebra, to be isomorphic due to Howe duality to $osp(k|2k)$ superalgebra, and containing the subsystem of second-class constraints in terms of new oscillator variables. We suggest a universal procedure of finding unconstrained gauge-invariant Lagrangians with reducible gauge symmetries, describing the dynamics of both massless and massive fermionic fields of any spin. It is shown that the space of BRST cohomologies with a vanishing ghost number is determined only by constraints corresponding to an irreducible Poincare-group representation. As examples of the general approach, we propose a method of Lagrangian construction for fermionic fields subject to an arbitrary Young tableaux having 3 rows, and obtain a gauge-invariant Lagrangian for a new model of a massless rank-3 spin-tensor field of spin (5/2,3/2) with first-stage reducible gauge symmetries and a non-gauge Lagrangian for a massive rank-3 spin-tensor field of spin (5/2,3/2).
| 8.049609
| 5.502321
| 9.84427
| 6.338416
| 5.689901
| 5.672304
| 5.74718
| 5.802656
| 6.481394
| 9.805211
| 6.484175
| 7.085926
| 8.346284
| 7.539134
| 7.289123
| 7.246908
| 7.115961
| 7.279264
| 7.665402
| 8.257046
| 7.379678
|
2301.01687
|
Vyacheslav Lysov
|
Andrey Losev, Vyacheslav Lysov
|
Tropical Mirror Symmetry: Correlation functions
|
77 pages, minor corrections
| null | null | null |
hep-th math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
We formulate the mirror symmetry for correlation functions of tropical
observables. We prove the tropical mirror correspondence for correlation
functions of evaluation observables on toric space. The key point of the proof
is the localization of correlation functions for mirror states in type-B higher
topological quantum mechanics on trees. The correlation functions localize to
the correlation functions of holomorphic functions, defined recursively in
Landau-Ginzburg-Saito theory with exponential mirror superpotential and
tropical good section.
|
[
{
"created": "Wed, 4 Jan 2023 16:26:58 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Nov 2023 17:23:19 GMT",
"version": "v2"
}
] |
2023-11-28
|
[
[
"Losev",
"Andrey",
""
],
[
"Lysov",
"Vyacheslav",
""
]
] |
We formulate the mirror symmetry for correlation functions of tropical observables. We prove the tropical mirror correspondence for correlation functions of evaluation observables on toric space. The key point of the proof is the localization of correlation functions for mirror states in type-B higher topological quantum mechanics on trees. The correlation functions localize to the correlation functions of holomorphic functions, defined recursively in Landau-Ginzburg-Saito theory with exponential mirror superpotential and tropical good section.
| 32.787716
| 29.90309
| 37.944637
| 26.010353
| 28.251558
| 34.168419
| 29.046892
| 27.695986
| 26.328703
| 45.535706
| 24.654547
| 29.536713
| 31.040815
| 29.698763
| 30.453722
| 28.274231
| 29.430559
| 29.103735
| 30.680447
| 33.01556
| 27.311724
|
hep-th/0106194
|
Dr Danny Stevenson
|
P. Bouwknegt (1), A. L. Carey (1), V. Mathai (1 and 2), M. K. Murray
(1) and D. Stevenson (1) ((1) University of Adelaide, (2) MIT)
|
Twisted K-theory and K-theory of bundle gerbes
|
29 pages, corrected typos, added references, included new section on
twisted Chern character in non-torsion case
|
Commun.Math.Phys.228:17-49,2002
|
10.1007/s002200200646
| null |
hep-th math.KT
| null |
In this note we introduce the notion of bundle gerbe K-theory and investigate
the relation to twisted K-theory. We provide some examples. Possible
applications of bundle gerbe K-theory to the classification of D-brane charges
in non-trivial backgrounds are discussed.
|
[
{
"created": "Thu, 21 Jun 2001 03:45:43 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Sep 2001 01:00:57 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Bouwknegt",
"P.",
"",
"University of Adelaide"
],
[
"Carey",
"A. L.",
"",
"University of Adelaide"
],
[
"Mathai",
"V.",
"",
"1 and 2"
],
[
"Murray",
"M. K.",
"",
"University of Adelaide"
],
[
"Stevenson",
"D.",
"",
"University of Adelaide"
]
] |
In this note we introduce the notion of bundle gerbe K-theory and investigate the relation to twisted K-theory. We provide some examples. Possible applications of bundle gerbe K-theory to the classification of D-brane charges in non-trivial backgrounds are discussed.
| 6.795588
| 5.049982
| 7.924654
| 5.277658
| 5.584413
| 5.415318
| 5.282277
| 5.143334
| 5.883931
| 7.304235
| 5.587305
| 5.846699
| 6.937567
| 6.046562
| 5.73558
| 5.780657
| 5.795117
| 5.92115
| 6.015906
| 7.080933
| 5.858994
|
1507.07482
|
Thomas Winyard
|
Thomas Winyard
|
Skyrmion and Baby Skyrmion Formation from Domain Walls
|
14 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We numerically simulate the formation of $(2+1)$-dimensional baby Skyrmions
and $(3+1)$-dimensional $SU(2)$ Skyrmions from domain wall collisions. It has
been suggested that Skyrmion, anti-Skyrmion pairs can be produced from the
interaction of two domain walls. This is confirmed, however it is also
demonstrated that the process can require quite precise conditions. An
alternative, more stable, formation process is proposed as the interaction of
more than two segments of domain wall. This is simulated, requiring far less
constraints on the initial conditions used.
Finally domain wall networks are considered, demonstrating how Skyrmions may
be produced in a complex dynamical system. We show that the local topological
charge configurations, formed within the system, are countered by opposite
winding on the boundary of the system to conserve topological charge.
|
[
{
"created": "Mon, 27 Jul 2015 16:53:46 GMT",
"version": "v1"
}
] |
2015-07-28
|
[
[
"Winyard",
"Thomas",
""
]
] |
We numerically simulate the formation of $(2+1)$-dimensional baby Skyrmions and $(3+1)$-dimensional $SU(2)$ Skyrmions from domain wall collisions. It has been suggested that Skyrmion, anti-Skyrmion pairs can be produced from the interaction of two domain walls. This is confirmed, however it is also demonstrated that the process can require quite precise conditions. An alternative, more stable, formation process is proposed as the interaction of more than two segments of domain wall. This is simulated, requiring far less constraints on the initial conditions used. Finally domain wall networks are considered, demonstrating how Skyrmions may be produced in a complex dynamical system. We show that the local topological charge configurations, formed within the system, are countered by opposite winding on the boundary of the system to conserve topological charge.
| 10.87967
| 11.241815
| 11.191317
| 10.373791
| 11.804565
| 11.749839
| 11.47082
| 11.292702
| 10.494877
| 12.171412
| 10.866628
| 10.620155
| 11.028524
| 10.55889
| 10.672245
| 10.739675
| 10.4646
| 10.530765
| 10.765896
| 10.923611
| 10.769154
|
hep-th/9612015
|
Joachim Rahmfeld
|
M.J. Duff, J.T. Liu and J. Rahmfeld
|
Dipole Moments of Black Holes and String States
|
38 pages, Latex
|
Nucl.Phys. B494 (1997) 161-199
|
10.1016/S0550-3213(97)00099-0
|
CTP-TAMU-62/96, RU96-16-B, SU-ITP-96/54
|
hep-th gr-qc
| null |
As a further test of the conjectured equivalence of string states and
extremal black holes, we compute the dipole moments of black holes with
arbitrary spin and superspin in D=4,N=4 supergravity coupled to 22 vector
multiplets and compare them with the dipole moments of states in the heterotic
string on $T^6$ or the Type IIA string on $K3 \times T^2$. Starting from a
purely bosonic black hole with Kerr angular momentum L, the superpartners are
generated by acting with fermion zero modes, thus filling out the complete
supermultiplet. $L$ is then identified with the superspin. On the heterotic
side, elementary states belong only to short to long multiplets, but Type IIA
elementary states can belong to intermediate multiplets as well. We find that
the black hole gyromagnetic ratios are in perfect agreement with the string
states not only for the BPS states belonging to short multiplets but also for
those belonging to intermediate multiplets. In fact, these intermediate
multiplets provide a stronger test of the black-hole/string-state equivalence
because the gyromagnetic ratios are not determined by supersymmetry alone, in
contrast to those of the short multiplets. We even find agreement between the
non-supersymmetric (but still extremal) black holes and non-BPS string states
belonging to long supermultiplets. In addition to magnetic dipole moments we
also find electric dipole moments even for purely electrically charged black
holes. The electric dipole moments of the corresponding string states have not
yet been calculated directly but are consistent with heterotic/Type IIA
duality.
|
[
{
"created": "Mon, 2 Dec 1996 20:09:27 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Duff",
"M. J.",
""
],
[
"Liu",
"J. T.",
""
],
[
"Rahmfeld",
"J.",
""
]
] |
As a further test of the conjectured equivalence of string states and extremal black holes, we compute the dipole moments of black holes with arbitrary spin and superspin in D=4,N=4 supergravity coupled to 22 vector multiplets and compare them with the dipole moments of states in the heterotic string on $T^6$ or the Type IIA string on $K3 \times T^2$. Starting from a purely bosonic black hole with Kerr angular momentum L, the superpartners are generated by acting with fermion zero modes, thus filling out the complete supermultiplet. $L$ is then identified with the superspin. On the heterotic side, elementary states belong only to short to long multiplets, but Type IIA elementary states can belong to intermediate multiplets as well. We find that the black hole gyromagnetic ratios are in perfect agreement with the string states not only for the BPS states belonging to short multiplets but also for those belonging to intermediate multiplets. In fact, these intermediate multiplets provide a stronger test of the black-hole/string-state equivalence because the gyromagnetic ratios are not determined by supersymmetry alone, in contrast to those of the short multiplets. We even find agreement between the non-supersymmetric (but still extremal) black holes and non-BPS string states belonging to long supermultiplets. In addition to magnetic dipole moments we also find electric dipole moments even for purely electrically charged black holes. The electric dipole moments of the corresponding string states have not yet been calculated directly but are consistent with heterotic/Type IIA duality.
| 6.400755
| 6.6953
| 7.014855
| 6.260321
| 6.703035
| 6.738238
| 6.620186
| 6.497287
| 6.367218
| 7.48279
| 6.28956
| 6.224305
| 6.521425
| 6.17835
| 6.267457
| 6.24308
| 6.134531
| 6.227926
| 6.163134
| 6.297424
| 6.154587
|
hep-th/0607039
|
Dominic Joyce
|
Dominic Joyce
|
Holomorphic generating functions for invariants counting coherent
sheaves on Calabi-Yau 3-folds
|
46 pages
|
Geom. Topol. 11 (2007) 667-725
|
10.2140/gt.2007.11.667
| null |
hep-th math.AG math.DG
| null |
Let X be a Calabi-Yau 3-fold, T=D^b(coh(X)) the derived category of coherent
sheaves on X, and Stab(T) the complex manifold of Bridgeland stability
conditions Z on T. It is conjectured that one can define rational numbers
J^a(Z) for Z in Stab(T) and a in the numerical Grothendieck group K(T)
generalizing Donaldson-Thomas invariants, which `count' Z-semistable (complexes
of) coherent sheaves on X in class a, and whose transformation law under change
of Z is known.
This paper explains how to combine such invariants J^a(Z), if they exist,
into a family of holomorphic generating functions F^a:Stab(T) --> C.
Surprisingly, requiring the F^a to be continuous and holomorphic determines
them essentially uniquely, and implies they satisfy a p.d.e., which can be
interpreted as the flatness of a connection over Stab(T) with values in an
infinite-dimensional Lie algebra L.
The author believes that underlying this mathematics there should be some new
physics, in String Theory and Mirror Symmetry. String Theorists are invited to
work out and explain this new physics.
|
[
{
"created": "Thu, 6 Jul 2006 15:54:06 GMT",
"version": "v1"
}
] |
2014-11-11
|
[
[
"Joyce",
"Dominic",
""
]
] |
Let X be a Calabi-Yau 3-fold, T=D^b(coh(X)) the derived category of coherent sheaves on X, and Stab(T) the complex manifold of Bridgeland stability conditions Z on T. It is conjectured that one can define rational numbers J^a(Z) for Z in Stab(T) and a in the numerical Grothendieck group K(T) generalizing Donaldson-Thomas invariants, which `count' Z-semistable (complexes of) coherent sheaves on X in class a, and whose transformation law under change of Z is known. This paper explains how to combine such invariants J^a(Z), if they exist, into a family of holomorphic generating functions F^a:Stab(T) --> C. Surprisingly, requiring the F^a to be continuous and holomorphic determines them essentially uniquely, and implies they satisfy a p.d.e., which can be interpreted as the flatness of a connection over Stab(T) with values in an infinite-dimensional Lie algebra L. The author believes that underlying this mathematics there should be some new physics, in String Theory and Mirror Symmetry. String Theorists are invited to work out and explain this new physics.
| 7.292295
| 8.401359
| 8.770061
| 8.007824
| 8.485704
| 9.017099
| 8.742175
| 8.106259
| 8.050448
| 8.812066
| 7.961923
| 7.409437
| 7.621288
| 7.304002
| 7.267132
| 7.255886
| 7.371934
| 7.303835
| 7.107533
| 7.623401
| 7.149311
|
1907.01053
|
Chrysostomos Kalousios
|
James Drummond, Jack Foster, \"Omer G\"urdo\u{g}an, Chrysostomos
Kalousios
|
Tropical Grassmannians, cluster algebras and scattering amplitudes
|
27 pages; v2 published version
|
J. High Energ. Phys. 2020, 146 (2020)
|
10.1007/JHEP04(2020)146
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We provide a cluster-algebraic approach to the computation of the recently
introduced generalised biadjoint scalar amplitudes related to Grassmannians
${\rm Gr}(k,n)$. A finite cluster algebra provides a natural triangulation for
the tropical Grassmannian whose volume computes the scattering amplitudes.
Using this method one can construct the entire colour-ordered amplitude via
mutations starting from a single term.
|
[
{
"created": "Mon, 1 Jul 2019 20:17:09 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Jan 2021 18:23:17 GMT",
"version": "v2"
}
] |
2021-01-26
|
[
[
"Drummond",
"James",
""
],
[
"Foster",
"Jack",
""
],
[
"Gürdoğan",
"Ömer",
""
],
[
"Kalousios",
"Chrysostomos",
""
]
] |
We provide a cluster-algebraic approach to the computation of the recently introduced generalised biadjoint scalar amplitudes related to Grassmannians ${\rm Gr}(k,n)$. A finite cluster algebra provides a natural triangulation for the tropical Grassmannian whose volume computes the scattering amplitudes. Using this method one can construct the entire colour-ordered amplitude via mutations starting from a single term.
| 13.959719
| 12.377944
| 17.752665
| 11.306334
| 13.399926
| 12.401693
| 12.574223
| 12.063668
| 10.846676
| 17.940536
| 11.147925
| 12.728384
| 13.742509
| 12.778729
| 11.746164
| 12.385005
| 11.676766
| 12.723726
| 12.361723
| 13.917168
| 11.868686
|
1705.07759
|
Spyridon Talaganis
|
Spyridon Talaganis, Ali Teimouri
|
Scale of non-locality for a system of $n$ particles
|
4 pages, 1 figure
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Higher derivative theories of gravity are associated with a mass scale to
insure the correct dimensionality of the covariant derivatives. This mass scale
is known as the scale of non-locality. In this paper, by considering a higher
derivative toy model, we show that for a system of $n$ particles the effective
mass scale is inversely proportional to the square root of the number of
particles. We demonstrate that as the number of particles increases the
corresponding effective mass scale associated with the scattering amplitude
decreases.
|
[
{
"created": "Mon, 22 May 2017 14:08:28 GMT",
"version": "v1"
}
] |
2017-05-23
|
[
[
"Talaganis",
"Spyridon",
""
],
[
"Teimouri",
"Ali",
""
]
] |
Higher derivative theories of gravity are associated with a mass scale to insure the correct dimensionality of the covariant derivatives. This mass scale is known as the scale of non-locality. In this paper, by considering a higher derivative toy model, we show that for a system of $n$ particles the effective mass scale is inversely proportional to the square root of the number of particles. We demonstrate that as the number of particles increases the corresponding effective mass scale associated with the scattering amplitude decreases.
| 7.794729
| 8.51143
| 6.861623
| 7.023002
| 7.072245
| 7.883601
| 7.941473
| 7.144392
| 6.626297
| 7.150042
| 7.472291
| 6.984532
| 6.863469
| 6.805055
| 6.627338
| 6.809559
| 6.858971
| 6.979458
| 6.599326
| 6.595148
| 6.787093
|
hep-th/9912154
|
Olaf Lechtenfeld
|
Olaf Lechtenfeld, Alexander D. Popov
|
Closed N=2 Strings: Picture-Changing, Hidden Symmetries and SDG
Hierarchy
|
41 pages, no figures
|
Int.J.Mod.Phys. A15 (2000) 4191-4237
|
10.1142/S0217751X00001865
|
ITP-UH-23/99
|
hep-th
| null |
We study the action of picture-changing and spectral flow operators on a
ground ring of ghost number zero operators in the chiral BRST cohomology of the
closed N=2 string and describe an infinite set of symmetry charges acting on
physical states. The transformations of physical string states are compared
with symmetries of self-dual gravity which is the effective field theory of the
closed N=2 string. We derive all infinitesimal symmetries of the self-dual
gravity equations in 2+2 dimensional spacetime and introduce an infinite
hierarchy of commuting flows on the moduli space of self-dual metrics. The
dependence on moduli parameters can be recovered by solving the equations of
the SDG hierarchy associated with an infinite set of abelian symmetries
generated recursively from translations. These non-local abelian symmetries are
shown to coincide with the hidden abelian string symmetries responsible for the
vanishing of most scattering amplitudes. Therefore, N=2 string theory
"predicts" not only self-dual gravity but also the SDG hierarchy.
|
[
{
"created": "Thu, 16 Dec 1999 22:10:16 GMT",
"version": "v1"
}
] |
2016-12-28
|
[
[
"Lechtenfeld",
"Olaf",
""
],
[
"Popov",
"Alexander D.",
""
]
] |
We study the action of picture-changing and spectral flow operators on a ground ring of ghost number zero operators in the chiral BRST cohomology of the closed N=2 string and describe an infinite set of symmetry charges acting on physical states. The transformations of physical string states are compared with symmetries of self-dual gravity which is the effective field theory of the closed N=2 string. We derive all infinitesimal symmetries of the self-dual gravity equations in 2+2 dimensional spacetime and introduce an infinite hierarchy of commuting flows on the moduli space of self-dual metrics. The dependence on moduli parameters can be recovered by solving the equations of the SDG hierarchy associated with an infinite set of abelian symmetries generated recursively from translations. These non-local abelian symmetries are shown to coincide with the hidden abelian string symmetries responsible for the vanishing of most scattering amplitudes. Therefore, N=2 string theory "predicts" not only self-dual gravity but also the SDG hierarchy.
| 10.157768
| 9.136877
| 11.291671
| 8.696119
| 8.749723
| 9.258266
| 8.964005
| 9.005278
| 8.863129
| 11.534316
| 8.733654
| 9.298039
| 9.685028
| 9.018088
| 9.255986
| 9.107671
| 9.023035
| 8.957055
| 8.919979
| 9.483218
| 9.014752
|
1001.3470
|
Rong-Gen Cai
|
Rong-Gen Cai, Li-Ming Cao and Nobuyoshi Ohta
|
Friedmann Equations from Entropic Force
|
latex, 8 pages, v2: minor modifications and to appear in PRD (Rapid
Communication)
|
Phys. Rev. D 81, 061501(R) (2010)
|
10.1103/PhysRevD.81.061501
|
KU-TP 041
|
hep-th gr-qc
|
http://creativecommons.org/licenses/by/3.0/
|
In this note by use of the holographic principle together with the
equipartition law of energy and the Unruh temperature, we derive the Friedmann
equations of a Friedmann-Robertson-Walker universe.
|
[
{
"created": "Wed, 20 Jan 2010 08:30:46 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Feb 2010 02:03:01 GMT",
"version": "v2"
}
] |
2010-03-10
|
[
[
"Cai",
"Rong-Gen",
""
],
[
"Cao",
"Li-Ming",
""
],
[
"Ohta",
"Nobuyoshi",
""
]
] |
In this note by use of the holographic principle together with the equipartition law of energy and the Unruh temperature, we derive the Friedmann equations of a Friedmann-Robertson-Walker universe.
| 8.515847
| 4.978978
| 5.634408
| 5.411095
| 5.479494
| 5.381903
| 5.022916
| 4.791834
| 5.536329
| 5.382487
| 5.744633
| 6.303027
| 6.216506
| 6.253688
| 6.180186
| 6.420663
| 6.337308
| 6.035829
| 6.358711
| 6.104317
| 6.526711
|
2110.03050
|
Herv\'e Partouche
|
Alex Kehagias, Herv\'e Partouche and Nicolaos Toumbas
|
Probability distribution for the quantum universe
|
1+17 pages
| null |
10.1007/JHEP12(2021)165
|
CPHT-RR076.092021
|
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We determine the inner product on the Hilbert space of wavefunctions of the
universe by imposing the Hermiticity of the quantum Hamiltonian in the context
of the minisuperspace model. The corresponding quantum probability density
reproduces successfully the classical probability distribution in the $\hbar
\to 0$ limit, for closed universes filled with a perfect fluid of index $w$.
When $-1/3<w\le 1$, the wavefunction is normalizable and the quantum
probability density becomes vanishingly small at the big bang/big crunch
singularities, at least at the semi-classical level. Quantum expectation values
of physical geometrical quantities, which diverge classically at the
singularities, are shown to be finite.
|
[
{
"created": "Wed, 6 Oct 2021 20:11:05 GMT",
"version": "v1"
},
{
"created": "Sat, 25 Dec 2021 11:42:11 GMT",
"version": "v2"
}
] |
2022-01-05
|
[
[
"Kehagias",
"Alex",
""
],
[
"Partouche",
"Hervé",
""
],
[
"Toumbas",
"Nicolaos",
""
]
] |
We determine the inner product on the Hilbert space of wavefunctions of the universe by imposing the Hermiticity of the quantum Hamiltonian in the context of the minisuperspace model. The corresponding quantum probability density reproduces successfully the classical probability distribution in the $\hbar \to 0$ limit, for closed universes filled with a perfect fluid of index $w$. When $-1/3<w\le 1$, the wavefunction is normalizable and the quantum probability density becomes vanishingly small at the big bang/big crunch singularities, at least at the semi-classical level. Quantum expectation values of physical geometrical quantities, which diverge classically at the singularities, are shown to be finite.
| 6.621181
| 6.826788
| 6.059743
| 6.076789
| 6.023124
| 6.471573
| 6.783538
| 6.231394
| 6.102185
| 6.742013
| 5.827469
| 6.251497
| 6.382097
| 6.14181
| 6.171275
| 5.982929
| 6.399684
| 6.333566
| 6.434037
| 6.09882
| 6.120986
|
2204.06057
|
Rubens R. S. Oliveira
|
R. R. S. Oliveira, G. Alencar and R. R. Landim
|
The noncommutative quantum Hall effect with anomalous magnetic moment in
three different relativistic scenarios
|
54 pages, 11 figures
| null |
10.1007/s10714-022-03057-5
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the present paper, we investigate the bound-state solutions of the
noncommutative quantum Hall effect (NCQHE) with anomalous magnetic moment (AMM)
in three different relativistic scenarios, namely: the Minkowski spacetime
(inertial flat case), the spinning cosmic string (CS) spacetime (inertial
curved case), and the spinning CS spacetime with noninertial effects
(noninertial curved case). In particular, in the first two scenarios, we have
an inertial frame, while in the third, we have a rotating frame. With respect
to bound-state solutions, we focus primarily on eigenfunctions (Dirac spinor
and wave function) and on energy eigenvalues (Landau levels), where we use the
flat and curved Dirac equation in polar coordinates to reach such solutions.
However, unlike the literature, here we consider a CS with an angular momentum
non-null and also the NC of the positions, and therefore, we seek a more
general description for the QHE. Once the solutions are obtained, we discuss
the influence of all parameters and physical quantities on relativistic energy
levels. Finally, we analyze the nonrelativistic limit, and we also compared our
problem with other works, where we verified that our results generalize some
particular cases of the literature.
|
[
{
"created": "Tue, 12 Apr 2022 19:39:32 GMT",
"version": "v1"
}
] |
2023-02-01
|
[
[
"Oliveira",
"R. R. S.",
""
],
[
"Alencar",
"G.",
""
],
[
"Landim",
"R. R.",
""
]
] |
In the present paper, we investigate the bound-state solutions of the noncommutative quantum Hall effect (NCQHE) with anomalous magnetic moment (AMM) in three different relativistic scenarios, namely: the Minkowski spacetime (inertial flat case), the spinning cosmic string (CS) spacetime (inertial curved case), and the spinning CS spacetime with noninertial effects (noninertial curved case). In particular, in the first two scenarios, we have an inertial frame, while in the third, we have a rotating frame. With respect to bound-state solutions, we focus primarily on eigenfunctions (Dirac spinor and wave function) and on energy eigenvalues (Landau levels), where we use the flat and curved Dirac equation in polar coordinates to reach such solutions. However, unlike the literature, here we consider a CS with an angular momentum non-null and also the NC of the positions, and therefore, we seek a more general description for the QHE. Once the solutions are obtained, we discuss the influence of all parameters and physical quantities on relativistic energy levels. Finally, we analyze the nonrelativistic limit, and we also compared our problem with other works, where we verified that our results generalize some particular cases of the literature.
| 8.027377
| 8.405123
| 7.866298
| 7.369443
| 7.612008
| 7.540763
| 7.261941
| 7.458921
| 7.470469
| 8.754343
| 7.470707
| 7.842567
| 7.909539
| 7.867914
| 7.851074
| 7.825735
| 7.923797
| 7.67918
| 7.876828
| 7.897748
| 7.983041
|
1506.07706
|
John H. Schwarz
|
John H. Schwarz
|
New Formulation of the Type IIB Superstring Action in $AdS_5 \times S^5$
|
40 pages; v3: extensive revision
| null | null |
CALT-TH-2015-030
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Previous studies of the type IIB superstring in an ${AdS_5 \times S^5}$
background are based on a description of the superspace geometry as the
quotient space $PSU(2,2|4)/SO(4,1) \times SO(5)$. This paper develops an
alternative approach in which the Grassmann coordinates provide a nonlinear
realization of $PSU(2,2|4)$ based on the quotient space $PSU(2,2|4)/SU(2,2)
\times SU(4)$, and the bosonic coordinates are described as a submanifold of
$SU(2,2) \times SU(4)$. This formulation keeps all bosonic symmetries manifest,
and it provides the complete dependence on the Grassmann coordinates in terms
of simple analytic expressions. It is used to construct the superstring
world-sheet action in a form in which the $PSU(2,2|4)$ symmetry is manifest and
kappa symmetry can be established. This formulation might have some advantages
compared to previous ones, but this remains to be demonstrated.
|
[
{
"created": "Thu, 25 Jun 2015 11:33:23 GMT",
"version": "v1"
},
{
"created": "Mon, 2 May 2016 21:18:04 GMT",
"version": "v2"
},
{
"created": "Thu, 28 Jul 2016 21:22:14 GMT",
"version": "v3"
}
] |
2016-08-01
|
[
[
"Schwarz",
"John H.",
""
]
] |
Previous studies of the type IIB superstring in an ${AdS_5 \times S^5}$ background are based on a description of the superspace geometry as the quotient space $PSU(2,2|4)/SO(4,1) \times SO(5)$. This paper develops an alternative approach in which the Grassmann coordinates provide a nonlinear realization of $PSU(2,2|4)$ based on the quotient space $PSU(2,2|4)/SU(2,2) \times SU(4)$, and the bosonic coordinates are described as a submanifold of $SU(2,2) \times SU(4)$. This formulation keeps all bosonic symmetries manifest, and it provides the complete dependence on the Grassmann coordinates in terms of simple analytic expressions. It is used to construct the superstring world-sheet action in a form in which the $PSU(2,2|4)$ symmetry is manifest and kappa symmetry can be established. This formulation might have some advantages compared to previous ones, but this remains to be demonstrated.
| 4.691397
| 4.63894
| 5.09736
| 4.390452
| 4.642999
| 4.492772
| 4.702549
| 4.502718
| 4.510454
| 5.292007
| 4.532926
| 4.45844
| 4.752055
| 4.463331
| 4.458818
| 4.450336
| 4.471861
| 4.345419
| 4.567257
| 4.646082
| 4.588841
|
hep-th/0210031
|
Lucio Campos Costa
|
J. L. Tomazelli and L. C. Costa
|
The Euler-Kockel-Heisenberg Lagrangian at Finite Temperature
|
LaTex file, 12 pages, no figures, misprint corrections and new
references added
| null | null | null |
hep-th
| null |
In the present work we investigate temperature effects on the spinor and
scalar effetive QED in the context of Thermo Field Dynamics. Following
Weisskopf's zero-point energy method, the problem of charge renormalization is
reexamined and high temperature contributions are extracted from the thermal
correction for the Lagrangian densities.
|
[
{
"created": "Thu, 3 Oct 2002 18:35:47 GMT",
"version": "v1"
},
{
"created": "Sun, 1 Jun 2003 01:15:27 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Tomazelli",
"J. L.",
""
],
[
"Costa",
"L. C.",
""
]
] |
In the present work we investigate temperature effects on the spinor and scalar effetive QED in the context of Thermo Field Dynamics. Following Weisskopf's zero-point energy method, the problem of charge renormalization is reexamined and high temperature contributions are extracted from the thermal correction for the Lagrangian densities.
| 20.793943
| 15.885877
| 17.487734
| 17.70015
| 16.566124
| 20.331139
| 19.241596
| 19.863043
| 14.807043
| 19.201338
| 17.226254
| 17.603588
| 17.918993
| 16.505541
| 18.309105
| 18.688892
| 17.567364
| 17.95978
| 16.726343
| 17.367327
| 17.606712
|
hep-th/0111218
|
Massimo Giovannini
|
Massimo Giovannini (Institute for Theoretical Physics, Lausanne
University)
|
Graviphoton and graviscalars delocalization in braneworld scenarios
|
Talk delivered at COSMO-01 Workshop, Rovaniemi, Finland, August 30 -
September 4, 2001. 14 pages, LaTeX
| null | null |
UNIL-IPT-01-17, October 2001
|
hep-th gr-qc hep-ph
| null |
A manifestly gauge-invariant theory of gravitational fluctuations of
brane-world scenarios is discussed. Without resorting to any specific gauge
choice, a general method is presented in order to disentangle the fluctuations
of the brane energy-momentum from the fluctuations of the metric. As an
application of the formalism, the localization of metric fluctuations on scalar
branes breaking spontaneously five-dimensional Poincar\'e invariance is
addressed. Only assuming that the four-dimensional Planck mass is finite and
that the geometry is regular, it is demonstrated that the vector and scalar
fluctuations of the metric are not localized on the brane.
|
[
{
"created": "Fri, 23 Nov 2001 17:35:19 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Giovannini",
"Massimo",
"",
"Institute for Theoretical Physics, Lausanne\n University"
]
] |
A manifestly gauge-invariant theory of gravitational fluctuations of brane-world scenarios is discussed. Without resorting to any specific gauge choice, a general method is presented in order to disentangle the fluctuations of the brane energy-momentum from the fluctuations of the metric. As an application of the formalism, the localization of metric fluctuations on scalar branes breaking spontaneously five-dimensional Poincar\'e invariance is addressed. Only assuming that the four-dimensional Planck mass is finite and that the geometry is regular, it is demonstrated that the vector and scalar fluctuations of the metric are not localized on the brane.
| 8.091741
| 7.50439
| 8.004622
| 6.82979
| 6.620659
| 7.2713
| 7.178566
| 7.424302
| 7.210858
| 7.544732
| 7.185578
| 6.973744
| 7.248084
| 7.362166
| 6.865673
| 7.25395
| 6.929457
| 7.011141
| 6.907249
| 7.41403
| 7.189302
|
1603.08624
|
Ding-Fang Zeng
|
Han-qing Shi and Ding-fang Zeng
|
Geodesic Motions in AdS Soliton Background Space-time
|
13 pages, 4 figures, preliminary results, any comments or reference
notices are welcome
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study both massive and massless particle's geodesic motion in the
background of general dimensional AdS-Sol space-time. We find that the massive
particles oscillate along the radial direction, while massless particles
experience one-time bouncing as they approach the "horizon" line of the
soliton. Our results provide a direct way to understand the negative
energy/masses leading to the AdS-Sol geometry. As a potential application, we
extend the point particle to a 3-brane and fix the background as a 5+1
dimension AdS-Sol, thus obtain a very natural bouncing/cyclic cosmological
model.
|
[
{
"created": "Tue, 29 Mar 2016 03:05:46 GMT",
"version": "v1"
}
] |
2016-03-30
|
[
[
"Shi",
"Han-qing",
""
],
[
"Zeng",
"Ding-fang",
""
]
] |
We study both massive and massless particle's geodesic motion in the background of general dimensional AdS-Sol space-time. We find that the massive particles oscillate along the radial direction, while massless particles experience one-time bouncing as they approach the "horizon" line of the soliton. Our results provide a direct way to understand the negative energy/masses leading to the AdS-Sol geometry. As a potential application, we extend the point particle to a 3-brane and fix the background as a 5+1 dimension AdS-Sol, thus obtain a very natural bouncing/cyclic cosmological model.
| 15.460398
| 15.098812
| 14.626872
| 14.130168
| 15.53349
| 15.573635
| 15.488358
| 14.236674
| 13.878105
| 15.135518
| 13.977306
| 14.12913
| 13.87708
| 14.117595
| 13.826259
| 14.021052
| 13.912726
| 13.766842
| 13.916256
| 13.372459
| 13.917059
|
0904.0955
|
Johannes Schmude
|
Johannes Schmude
|
A note on backreacting flavors from calibrated geometry
|
3 pages, Contribution to the proceedings of the ESF School in High
Energy Physics and Astrophysics: Theory and Particle Physics: The LHC
Perspective and Beyond, Cargese, France, 2008
|
Nucl.Phys.Proc.Suppl.192-193:181-183,2009
|
10.1016/j.nuclphysbps.2009.07.074
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
One of the main problems in the search for string duals with backreacting,
smeared flavors is the construction of a suitable source density. We review how
this issue may be addressed using generalized calibrated geometry.
|
[
{
"created": "Mon, 6 Apr 2009 15:38:50 GMT",
"version": "v1"
}
] |
2009-10-06
|
[
[
"Schmude",
"Johannes",
""
]
] |
One of the main problems in the search for string duals with backreacting, smeared flavors is the construction of a suitable source density. We review how this issue may be addressed using generalized calibrated geometry.
| 20.225317
| 14.785749
| 26.288923
| 16.275072
| 17.654375
| 16.477877
| 14.697275
| 13.198672
| 14.085661
| 24.259474
| 15.874669
| 15.47659
| 19.388508
| 16.95207
| 15.692519
| 15.838924
| 15.438238
| 15.721804
| 16.475382
| 17.860716
| 16.132296
|
1910.06082
|
Mahya Mohammadi
|
Mahya Mohammadi and Ahmad Sheykhi
|
Conductivity of the one-dimensional holographic p-wave superconductors
in the presence of nonlinear electrodynamics
|
arXiv admin note: text overlap with arXiv:1901.10540
|
Physical Review D 100, 086012 (2019)
|
10.1103/PhysRevD.100.086012
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We investigate analytically as well as numerically effects of nonlinear
Born-Infeld (BI) electrodynamics on the properties of (1+1)-dimensional
holographic $p$-wave superconductor in the context of gauge/gravity duality. We
consider the case in which the gauge and vector fields backreact on the
background geometry. We apply the Sturm-Liouville eigenvalue problem for the
analytical approach as well as the shooting method for the numerical
calculations. In both methods, we find out the relation between critical
temperature $T_{c}$ and chemical potential $\mu$ and show that both approaches
are in good agreement with each other. We find that if one strengthen the
effect of backreaction as well as nonlinearity, the critical temperature
decreases which means that the condensation is harder to form. We also explore
the conductivity of the one-dimensional holographic $p$-wave superconductor for
different values of b and $T/T_{c}$. We find out that the real and imaginary
parts of the conductivity have different behaviors in higher dimensions. The
effects of different values of temperature is more apparent for larger values
of nonlinearity parameter. In addition, for the fixed value of $T/T_{c}$ by
increasing the effect of nonlinearity we observe larger values for Drude-like
peak in real part of conductivity and deeper minimum for imaginary part.
|
[
{
"created": "Tue, 1 Oct 2019 09:12:44 GMT",
"version": "v1"
}
] |
2019-11-01
|
[
[
"Mohammadi",
"Mahya",
""
],
[
"Sheykhi",
"Ahmad",
""
]
] |
We investigate analytically as well as numerically effects of nonlinear Born-Infeld (BI) electrodynamics on the properties of (1+1)-dimensional holographic $p$-wave superconductor in the context of gauge/gravity duality. We consider the case in which the gauge and vector fields backreact on the background geometry. We apply the Sturm-Liouville eigenvalue problem for the analytical approach as well as the shooting method for the numerical calculations. In both methods, we find out the relation between critical temperature $T_{c}$ and chemical potential $\mu$ and show that both approaches are in good agreement with each other. We find that if one strengthen the effect of backreaction as well as nonlinearity, the critical temperature decreases which means that the condensation is harder to form. We also explore the conductivity of the one-dimensional holographic $p$-wave superconductor for different values of b and $T/T_{c}$. We find out that the real and imaginary parts of the conductivity have different behaviors in higher dimensions. The effects of different values of temperature is more apparent for larger values of nonlinearity parameter. In addition, for the fixed value of $T/T_{c}$ by increasing the effect of nonlinearity we observe larger values for Drude-like peak in real part of conductivity and deeper minimum for imaginary part.
| 5.454808
| 5.042871
| 5.530603
| 5.05983
| 5.18514
| 4.916118
| 4.987374
| 5.012397
| 5.167922
| 5.58223
| 5.153238
| 5.384243
| 5.471746
| 5.251552
| 5.355764
| 5.321225
| 5.309277
| 5.252427
| 5.188221
| 5.565234
| 5.320437
|
hep-th/0112212
|
R. Rosenfelder
|
R. Rosenfelder and A. W. Schreiber
|
Improved variational description of the Wick-Cutkosky model with the
most general quadratic trial action
|
32 pages, 4 figures, Latex. Some typos corrected and expanded
discussion of the instability of the model provided. Accepted in Eur. Phys.
J. C
|
Eur.Phys.J.C25:139-156,2002
|
10.1007/s10052-002-1012-0
|
PSI-PR-01-16, ADP-01-62/T502
|
hep-th nucl-th
| null |
We generalize the worldline variational approach to field theory by
introducing a trial action which allows for anisotropic terms to be induced by
external 4-momenta of Green's functions. By solving the ensuing variational
equations numerically we demonstrate that within the (quenched) scalar
Wick-Cutkosky model considerable improvement can be achieved over results
obtained previously with isotropic actions. In particular, the critical
coupling associated with the instability of the model is lowered, in accordance
with expectations from Baym's proof of the instability in the unquenched
theory. The physical picture associated with a different quantum mechanical
motion of the dressed particle along and perpendicular to its classical
momentum is discussed. Indeed, we find that for large couplings the dressed
particle is strongly distorted in the direction of its four-momentum. In
addition, we obtain an exact relation between the renormalized coupling of the
theory and the propagator. Along the way we introduce new and efficient methods
to evaluate the averages needed in the variational approach and apply them to
the calculation of the 2-point function.
|
[
{
"created": "Fri, 21 Dec 2001 15:19:16 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Jul 2002 12:46:49 GMT",
"version": "v2"
}
] |
2009-01-07
|
[
[
"Rosenfelder",
"R.",
""
],
[
"Schreiber",
"A. W.",
""
]
] |
We generalize the worldline variational approach to field theory by introducing a trial action which allows for anisotropic terms to be induced by external 4-momenta of Green's functions. By solving the ensuing variational equations numerically we demonstrate that within the (quenched) scalar Wick-Cutkosky model considerable improvement can be achieved over results obtained previously with isotropic actions. In particular, the critical coupling associated with the instability of the model is lowered, in accordance with expectations from Baym's proof of the instability in the unquenched theory. The physical picture associated with a different quantum mechanical motion of the dressed particle along and perpendicular to its classical momentum is discussed. Indeed, we find that for large couplings the dressed particle is strongly distorted in the direction of its four-momentum. In addition, we obtain an exact relation between the renormalized coupling of the theory and the propagator. Along the way we introduce new and efficient methods to evaluate the averages needed in the variational approach and apply them to the calculation of the 2-point function.
| 11.303919
| 11.974416
| 11.002377
| 10.990839
| 11.346373
| 12.835189
| 12.402334
| 12.047099
| 10.252153
| 11.36135
| 11.357426
| 11.037771
| 10.677565
| 10.998425
| 11.259246
| 10.929851
| 11.124868
| 11.40776
| 11.0621
| 10.976404
| 10.928415
|
2402.06080
|
Sidan A
|
Sidan A, Tom Banks
|
Fixed Lines in Four Fermion Models in Two Dimensions
|
25 pages, 22 figures
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
Motivated by conjectures about near-horizon dynamics in quantum gravity, we
search for lines of perturbatively accessible fixed points emanating from
models of $N$ free fermions. Through two loops we find a new class of models,
apart from the well-known Abelian Thirring models. Further study is needed to
see whether these can lead to true conformal manifolds, or perhaps a new class
of large N fixed points.
|
[
{
"created": "Thu, 8 Feb 2024 22:08:17 GMT",
"version": "v1"
}
] |
2024-02-12
|
[
[
"A",
"Sidan",
""
],
[
"Banks",
"Tom",
""
]
] |
Motivated by conjectures about near-horizon dynamics in quantum gravity, we search for lines of perturbatively accessible fixed points emanating from models of $N$ free fermions. Through two loops we find a new class of models, apart from the well-known Abelian Thirring models. Further study is needed to see whether these can lead to true conformal manifolds, or perhaps a new class of large N fixed points.
| 17.595465
| 14.145012
| 16.57831
| 15.224731
| 14.474453
| 16.227909
| 14.590559
| 15.311415
| 14.668014
| 18.3048
| 15.047544
| 15.086193
| 15.805313
| 15.266793
| 14.692917
| 14.984788
| 15.120352
| 15.213656
| 15.502153
| 16.614876
| 15.061766
|
hep-th/9312051
|
Krzysztof Gawedzki
|
Krzysztof Gawedzki
|
SU(2) WZNW Model at Higher Genera from Gauge Field Functional Integral
|
12 pages, IHES/P/93/66, LaTeX file (Eq. (1.4) got missing factor)
| null | null | null |
hep-th
| null |
We compute the gauge field functional integral giving the scalar product of
the SU(2) Chern-Simons theory states on a Riemann surface of genus > 1. The
result allows to express the higher genera partition functions of the SU(2)
WZNW conformal field theory by explicit finite dimensional integrals. Our
calculation may also shed new light on the functional integral of the Liouville
theory.
|
[
{
"created": "Tue, 7 Dec 1993 11:46:33 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Dec 1993 09:19:10 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Gawedzki",
"Krzysztof",
""
]
] |
We compute the gauge field functional integral giving the scalar product of the SU(2) Chern-Simons theory states on a Riemann surface of genus > 1. The result allows to express the higher genera partition functions of the SU(2) WZNW conformal field theory by explicit finite dimensional integrals. Our calculation may also shed new light on the functional integral of the Liouville theory.
| 9.583756
| 8.49126
| 10.201242
| 7.682086
| 9.574723
| 8.695682
| 9.09386
| 8.139044
| 8.408479
| 11.028627
| 8.378826
| 8.760283
| 9.239642
| 8.967106
| 8.360429
| 9.083224
| 8.584534
| 8.552905
| 8.901731
| 9.433634
| 8.977801
|
1905.09125
|
Fotis Farakos
|
Ignatios Antoniadis, Jean-Pierre Derendinger, Fotis Farakos, Gabriele
Tartaglino-Mazzucchelli
|
New Fayet-Iliopoulos terms in ${\mathcal N}=2$ supergravity
|
50 pages
| null |
10.1007/JHEP07(2019)061
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a new type of Fayet-Iliopoulos (FI) terms in ${\mathcal N}=2$
supergravity that do not require the gauging of the $R$-symmetry. We elaborate
on the impact of such terms on the vacuum structure of the ${\mathcal N}=2$
theory and compare their properties with the standard Fayet-Iliopoulos terms
that arise from gaugings. In particular, we show that, with the use of the new
FI terms, models with a single physical ${\mathcal N}=2$ vector multiplet can
be constructed that give stable de Sitter vacua.
|
[
{
"created": "Wed, 22 May 2019 13:27:56 GMT",
"version": "v1"
}
] |
2019-09-04
|
[
[
"Antoniadis",
"Ignatios",
""
],
[
"Derendinger",
"Jean-Pierre",
""
],
[
"Farakos",
"Fotis",
""
],
[
"Tartaglino-Mazzucchelli",
"Gabriele",
""
]
] |
We present a new type of Fayet-Iliopoulos (FI) terms in ${\mathcal N}=2$ supergravity that do not require the gauging of the $R$-symmetry. We elaborate on the impact of such terms on the vacuum structure of the ${\mathcal N}=2$ theory and compare their properties with the standard Fayet-Iliopoulos terms that arise from gaugings. In particular, we show that, with the use of the new FI terms, models with a single physical ${\mathcal N}=2$ vector multiplet can be constructed that give stable de Sitter vacua.
| 4.359286
| 3.992116
| 4.368535
| 4.12955
| 3.996653
| 3.93863
| 4.148746
| 3.881241
| 4.094333
| 4.742101
| 3.894197
| 4.011548
| 4.263338
| 4.036476
| 4.089149
| 3.968822
| 4.032499
| 4.056653
| 4.006237
| 4.189439
| 3.979254
|
1908.01123
|
Subham Dutta Chowdhury
|
Subham Dutta Chowdhury, Parthiv Haldar and Kallol Sen
|
On the Regge limit of Fishnet correlators
|
JHEP version
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the Regge trajectories of the Mellin amplitudes of the $0-,1-$ and
$2-$ magnon correlators of the Fishnet theory. Since fishnet theory is both
integrable and conformal, the correlation functions are known exactly. We find
that while for $0$ and $1$ magnon correlators, the Regge poles can be exactly
determined as a function of coupling, $2$-magnon correlators can only be dealt
with perturbatively. We evaluate the resulting Mellin amplitudes at weak
coupling, while for strong coupling we do an order of magnitude calculation.
|
[
{
"created": "Sat, 3 Aug 2019 06:14:48 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Aug 2019 07:49:01 GMT",
"version": "v2"
},
{
"created": "Tue, 22 Oct 2019 13:10:11 GMT",
"version": "v3"
}
] |
2019-10-23
|
[
[
"Chowdhury",
"Subham Dutta",
""
],
[
"Haldar",
"Parthiv",
""
],
[
"Sen",
"Kallol",
""
]
] |
We study the Regge trajectories of the Mellin amplitudes of the $0-,1-$ and $2-$ magnon correlators of the Fishnet theory. Since fishnet theory is both integrable and conformal, the correlation functions are known exactly. We find that while for $0$ and $1$ magnon correlators, the Regge poles can be exactly determined as a function of coupling, $2$-magnon correlators can only be dealt with perturbatively. We evaluate the resulting Mellin amplitudes at weak coupling, while for strong coupling we do an order of magnitude calculation.
| 7.678688
| 7.205744
| 8.959449
| 7.928404
| 8.142737
| 8.386023
| 8.164943
| 7.04423
| 7.657847
| 9.694685
| 7.28
| 7.27491
| 8.160644
| 7.758367
| 7.581097
| 7.374131
| 7.772141
| 7.604736
| 7.750695
| 7.87235
| 7.205641
|
hep-th/9609234
|
Marika M. Taylor-Robinson
|
Marika Taylor-Robinson (DAMTP, University of Cambridge)
|
Semi-classical stability of supergravity vacua
|
41 pages, LaTeX
|
Phys.Rev.D55:4822-4838,1997
|
10.1103/PhysRevD.55.4822
| null |
hep-th
| null |
The existence of instantonic decay modes would indicate a semi-classical
instability of the vacua of ten and eleven dimensional supergravity theories.
Decay modes whose spin structures are incompatible with those of supersymmetric
vacua have previously been constructed, and we present generalisations
including those involving non trivial dilaton and antisymmetric tensor fields.
We then show that the requirement that any instanton describing supersymmetric
vacuum decay should admit both a zero momentum hypersurface from which we
describe the subsequent Lorentzian evolution and a spin structure at infinity
compatible with the putative vacuum excludes all such decay modes, except those
with unphysical energy momentum tensors which violate the dominant energy
condition.
|
[
{
"created": "Mon, 30 Sep 1996 18:25:56 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Taylor-Robinson",
"Marika",
"",
"DAMTP, University of Cambridge"
]
] |
The existence of instantonic decay modes would indicate a semi-classical instability of the vacua of ten and eleven dimensional supergravity theories. Decay modes whose spin structures are incompatible with those of supersymmetric vacua have previously been constructed, and we present generalisations including those involving non trivial dilaton and antisymmetric tensor fields. We then show that the requirement that any instanton describing supersymmetric vacuum decay should admit both a zero momentum hypersurface from which we describe the subsequent Lorentzian evolution and a spin structure at infinity compatible with the putative vacuum excludes all such decay modes, except those with unphysical energy momentum tensors which violate the dominant energy condition.
| 16.859003
| 16.416927
| 18.007774
| 15.445285
| 16.792597
| 15.856803
| 14.68882
| 15.298931
| 15.492987
| 19.572699
| 14.791377
| 15.955742
| 16.612282
| 15.703661
| 15.863558
| 15.130925
| 15.074615
| 15.544897
| 15.604867
| 16.926416
| 15.778875
|
1001.4682
|
Ali Reza Amani
|
J. Sadeghi, M. R. Setare, A. R. Amani and S. M. Noorbakhsh
|
Bouncing Universe and Reconstructing Vector Field
|
e.g.: 14 pages, 14 figures
| null |
10.1016/j.physletb.2010.01.071
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Motivated by the recent works of Refs. \cite{R1, R2} where a model of
inflation has been suggested with non-minimally coupled massive vector fields,
we generalize their work to the study of the bouncing solution. So we consider
a massive vector field, which is non-minimally coupled to gravity. Also we
consider non-minimal coupling of vector field to the scalar curvature. Then we
reconstruct this model in the light of three forms of parametrization for
dynamical dark energy. Finally we simply plot reconstructed physical quantities
in flat universe.
|
[
{
"created": "Tue, 26 Jan 2010 13:31:27 GMT",
"version": "v1"
}
] |
2015-05-18
|
[
[
"Sadeghi",
"J.",
""
],
[
"Setare",
"M. R.",
""
],
[
"Amani",
"A. R.",
""
],
[
"Noorbakhsh",
"S. M.",
""
]
] |
Motivated by the recent works of Refs. \cite{R1, R2} where a model of inflation has been suggested with non-minimally coupled massive vector fields, we generalize their work to the study of the bouncing solution. So we consider a massive vector field, which is non-minimally coupled to gravity. Also we consider non-minimal coupling of vector field to the scalar curvature. Then we reconstruct this model in the light of three forms of parametrization for dynamical dark energy. Finally we simply plot reconstructed physical quantities in flat universe.
| 11.155937
| 10.842658
| 10.019722
| 9.732204
| 11.206606
| 11.739281
| 10.5531
| 10.827092
| 9.929476
| 10.286572
| 10.818819
| 10.659505
| 10.176955
| 10.33066
| 10.747897
| 10.221721
| 10.442016
| 10.336448
| 10.535881
| 11.078012
| 10.287753
|
1809.03482
|
Renato Santos da Costa
|
Robert Brandenberger, Renato Costa, Guilherme Franzmann and Amanda
Weltman
|
T-dual cosmological solutions in double field theory
|
7 pages, no figures
|
Phys. Rev. D 99, 023531 (2019)
|
10.1103/PhysRevD.99.023531
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the cosmological solutions coming from the double field theory
equations of motion after coupling a matter source to them. Assuming constant
dilaton and imposing the section condition with respect to the regular
coordinates leads to a universe dominated by momentum modes while imposing the
section condition with respect to the dual coordinates naturally leads to a
universe dominated by momentum modes. We show that both regimes have asymptotic
behaviours related by T-duality. This hints towards defining a duality between
the clocks considered in each regime and interpreting winding modes as being
radiation from the point of view of a Euclidean time.
|
[
{
"created": "Mon, 10 Sep 2018 17:56:34 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Jan 2019 23:42:25 GMT",
"version": "v2"
},
{
"created": "Thu, 31 Jan 2019 12:57:01 GMT",
"version": "v3"
}
] |
2019-02-06
|
[
[
"Brandenberger",
"Robert",
""
],
[
"Costa",
"Renato",
""
],
[
"Franzmann",
"Guilherme",
""
],
[
"Weltman",
"Amanda",
""
]
] |
We investigate the cosmological solutions coming from the double field theory equations of motion after coupling a matter source to them. Assuming constant dilaton and imposing the section condition with respect to the regular coordinates leads to a universe dominated by momentum modes while imposing the section condition with respect to the dual coordinates naturally leads to a universe dominated by momentum modes. We show that both regimes have asymptotic behaviours related by T-duality. This hints towards defining a duality between the clocks considered in each regime and interpreting winding modes as being radiation from the point of view of a Euclidean time.
| 14.979298
| 15.782228
| 16.581192
| 14.898348
| 14.767832
| 14.948826
| 14.286808
| 13.283711
| 13.932713
| 19.076624
| 14.589025
| 13.713766
| 14.737212
| 13.884374
| 14.132055
| 13.25023
| 14.014252
| 14.292838
| 13.818603
| 15.002287
| 13.628143
|
hep-th/0210112
| null |
J. Lukierski (Wroclaw Univ.), P. Stichel (Bielefeld, Germany) and W.J.
Zakrzewski (University of Durham)
|
Noncommutative planar particles: higher order versus first order
formalism and supersymmetrization
|
LaTeX, 6 pages, to appear in "Group24: Physical and Mathematical
Aspects of Symmetry", the Proceedings of Group24 XXIV-th International
Colloqium on Group-Theoretic Methods in Physics, Paris, 15 21.07.2002, Ed.
J.P. Gazeau, R. Kerner et. al. IOP Publishing House, Bristol, 2002
| null | null | null |
hep-th
| null |
We describe the supersymmetrization of two formulations of free
noncommutative planar particles -- in coordinate space with higher order
Lagrangian [1] and in the framework of Faddeev and Jackiw [2,3], with first
order action. In nonsupersymmetric case the first formulation after imposing
subsidiary condition eliminating internal degrees of freedom provides the
second formulation. In supersymmetric case one can also introduce the split
into ``external'' and ``internal'' degrees of freedom both describing
supersymmetric models.
|
[
{
"created": "Fri, 11 Oct 2002 11:55:23 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Lukierski",
"J.",
"",
"Wroclaw Univ."
],
[
"Stichel",
"P.",
"",
"Bielefeld, Germany"
],
[
"Zakrzewski",
"W. J.",
"",
"University of Durham"
]
] |
We describe the supersymmetrization of two formulations of free noncommutative planar particles -- in coordinate space with higher order Lagrangian [1] and in the framework of Faddeev and Jackiw [2,3], with first order action. In nonsupersymmetric case the first formulation after imposing subsidiary condition eliminating internal degrees of freedom provides the second formulation. In supersymmetric case one can also introduce the split into ``external'' and ``internal'' degrees of freedom both describing supersymmetric models.
| 17.016439
| 16.859692
| 18.863529
| 15.487786
| 15.355082
| 15.770717
| 15.839001
| 15.610558
| 15.766818
| 20.294521
| 15.690779
| 15.628395
| 16.420031
| 15.807186
| 15.347345
| 15.207716
| 15.828135
| 15.508882
| 15.446585
| 16.924702
| 15.419699
|
2305.20037
|
Sarthak Duary
|
Sarthak Duary
|
Flat limit of massless scalar scattering in $\mathrm{AdS}_2$
|
Revisions compared to the prior version: Changed the title and
abstract; improved the text and corrected typos; 30 pages, 2 figures
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by-sa/4.0/
|
We delineate the flat limit of massless scalar scattering in
$\mathrm{AdS}_2$. We derive the 1 $\to$ 1 $\mathcal{S}$-matrix from the CFT
$2$-point function, which is proportional to the momentum-conserving delta
function. We prove a kinematical characteristic of the $2 \to 2$
$\mathcal{S}$-matrix in $2d$, elucidating the presence of product of two delta
functions arising from the $\phi^4$ contact interaction within the realm of the
flat limit of AdS/CFT. We also show that the factorization of the $n \to n
~\mathcal{S}$-matrix for integrable models in the flat limit, employing a
focused analysis on contact interaction, which play a pivotal role as
fundamental constituents in the construction of the non-perturbative
$\mathcal{S}$-matrix within integrable models. Although the factorization of
the $\mathcal{S}$-matrix in integrable models is commonly perceived as an
intrinsically non-perturbative notion, we effectively demonstrate its
manifestation at the tree level in the flat limit. We calculate the
$\mathcal{S}$-matrix by making use of the mapping between the CFT operator on
the AdS boundary, and the scattering state in flat space. We adopt the bulk
operator reconstruction to examine massless scalar scattering in the flat
limit. We solve the Klein-Gordon equation in the global $\mathrm{AdS}_2$ for
the massless scalar field. Notably, the solution is remarkably simple,
characterized by a pure phase in global time and a sinusoidal function in the
radial coordinate. This simplicity extends to the smearing function, enabling a
mapping between the scattering state and CFT operator taking AdS corrections
into account.
|
[
{
"created": "Wed, 31 May 2023 17:10:10 GMT",
"version": "v1"
},
{
"created": "Mon, 31 Jul 2023 14:01:38 GMT",
"version": "v2"
},
{
"created": "Wed, 27 Sep 2023 11:33:10 GMT",
"version": "v3"
}
] |
2023-09-28
|
[
[
"Duary",
"Sarthak",
""
]
] |
We delineate the flat limit of massless scalar scattering in $\mathrm{AdS}_2$. We derive the 1 $\to$ 1 $\mathcal{S}$-matrix from the CFT $2$-point function, which is proportional to the momentum-conserving delta function. We prove a kinematical characteristic of the $2 \to 2$ $\mathcal{S}$-matrix in $2d$, elucidating the presence of product of two delta functions arising from the $\phi^4$ contact interaction within the realm of the flat limit of AdS/CFT. We also show that the factorization of the $n \to n ~\mathcal{S}$-matrix for integrable models in the flat limit, employing a focused analysis on contact interaction, which play a pivotal role as fundamental constituents in the construction of the non-perturbative $\mathcal{S}$-matrix within integrable models. Although the factorization of the $\mathcal{S}$-matrix in integrable models is commonly perceived as an intrinsically non-perturbative notion, we effectively demonstrate its manifestation at the tree level in the flat limit. We calculate the $\mathcal{S}$-matrix by making use of the mapping between the CFT operator on the AdS boundary, and the scattering state in flat space. We adopt the bulk operator reconstruction to examine massless scalar scattering in the flat limit. We solve the Klein-Gordon equation in the global $\mathrm{AdS}_2$ for the massless scalar field. Notably, the solution is remarkably simple, characterized by a pure phase in global time and a sinusoidal function in the radial coordinate. This simplicity extends to the smearing function, enabling a mapping between the scattering state and CFT operator taking AdS corrections into account.
| 8.047548
| 8.198309
| 8.481931
| 7.795232
| 8.068603
| 8.297068
| 8.28544
| 8.030416
| 7.818428
| 8.303664
| 7.756671
| 7.934822
| 8.15233
| 7.84692
| 7.951042
| 7.978214
| 7.879807
| 7.884574
| 7.90056
| 8.138243
| 7.79704
|
1310.1558
|
Emil Nissimov
|
Eduardo Guendelman, Emil Nissimov, Svetlana Pacheva
|
Charge-Confining Gravitational Electrovacuum Shock Wave
|
LaTeX, 16 pages
|
Modern Physics Letters A29 (2014) 1450020
|
10.1142/S0217732314500205
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In previous publications we have extensively studied spherically symmetric
solutions of gravity coupled to a non-standard type of non-linear
electrodynamics containing a square root of the ordinary Maxwell Lagrangian
(the latter is known to yield QCD-like confinement in flat space-time). A class
of these solutions describe non-standard black holes of
Reissner-Nordstroem-(anti-)-de-Sitter type with an additional constant radial
vacuum electric field, in particular, a non-asymptotically flat
Reissner-Nordstroem-type black hole. Here we study the ultra-relativistic boost
(Aichelburg-Sexl-type) limit of the latter and show that, unlike the ordinary
Reissner-Nordstroem case, we obtain a gravitational electrovacuum shock wave as
a result of the persistence of the gauge field due to the "square-root" Maxwell
Lagrangian term. Next, we show that this gravitational electrovacuum shock wave
confines charged test particles (both massive and massless) within a finite
distance from its front.
|
[
{
"created": "Sun, 6 Oct 2013 08:51:30 GMT",
"version": "v1"
}
] |
2015-06-17
|
[
[
"Guendelman",
"Eduardo",
""
],
[
"Nissimov",
"Emil",
""
],
[
"Pacheva",
"Svetlana",
""
]
] |
In previous publications we have extensively studied spherically symmetric solutions of gravity coupled to a non-standard type of non-linear electrodynamics containing a square root of the ordinary Maxwell Lagrangian (the latter is known to yield QCD-like confinement in flat space-time). A class of these solutions describe non-standard black holes of Reissner-Nordstroem-(anti-)-de-Sitter type with an additional constant radial vacuum electric field, in particular, a non-asymptotically flat Reissner-Nordstroem-type black hole. Here we study the ultra-relativistic boost (Aichelburg-Sexl-type) limit of the latter and show that, unlike the ordinary Reissner-Nordstroem case, we obtain a gravitational electrovacuum shock wave as a result of the persistence of the gauge field due to the "square-root" Maxwell Lagrangian term. Next, we show that this gravitational electrovacuum shock wave confines charged test particles (both massive and massless) within a finite distance from its front.
| 8.685612
| 8.095712
| 8.468317
| 8.197117
| 7.702447
| 7.772601
| 7.971665
| 7.526652
| 8.281702
| 9.752871
| 8.563778
| 8.211638
| 8.488783
| 8.286768
| 8.130829
| 8.013271
| 8.383494
| 8.034029
| 8.1933
| 8.490621
| 8.416024
|
hep-th/9706136
|
David R. Karakhanyan
|
D.Karakhanyan
|
The non-local action for the induced 2d supergravity
|
LaTeX file, no figures
| null | null |
YERPHI-1487(4)
|
hep-th
| null |
The two-dimensional simple supergravity is reexamined from the point of view
of super-Weyl group cohomologies. The non-local form of the effective action of
2d supergravity which generalise the famous $R 1/\Box R$ is obtained.
|
[
{
"created": "Thu, 19 Jun 1997 07:37:53 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Karakhanyan",
"D.",
""
]
] |
The two-dimensional simple supergravity is reexamined from the point of view of super-Weyl group cohomologies. The non-local form of the effective action of 2d supergravity which generalise the famous $R 1/\Box R$ is obtained.
| 22.871666
| 16.354343
| 17.787457
| 15.090704
| 16.731392
| 16.191208
| 14.923492
| 16.587681
| 16.703018
| 18.580147
| 14.412379
| 16.480164
| 17.248171
| 15.776309
| 17.119755
| 17.354202
| 16.105173
| 15.518592
| 15.397329
| 17.715876
| 15.085024
|
1110.5644
|
Niklas Johansson
|
Hamid Afshar, Branislav Cvetkovi\'c, Sabine Ertl, Daniel Grumiller,
Niklas Johansson
|
Conformal Chern-Simons holography - lock, stock and barrel
|
67 pages. v2: Corrected typos, added references. Matches published
version
|
Phys. Rev. D 85, 064033 (2012)
|
10.1103/PhysRevD.85.064033
|
TUW-11-22
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss a fine-tuning of rather generic three dimensional higher-curvature
gravity actions that leads to gauge symmetry enhancement at the linearized
level via partial masslessness. Requiring this gauge symmetry to be present
also non-linearly reduces such actions to conformal Chern-Simons gravity. We
perform a canonical analysis of this theory and construct the gauge generators
and associated charges. We provide and classify admissible boundary conditions.
The boundary conditions on the conformal equivalence class of the metric render
one chirality of the partially massless Weyl gravitons normalizable and the
remaining one non-normalizable. There are three choices - trivial, fixed or
free - for the Weyl factors of the bulk metric and of the boundary metric. This
proliferation of boundary conditions leads to various physically distinct
scenarios of holography that we study in detail, extending considerably the
discussion initiated in 1106.6299. In particular, the dual CFT may contain an
additional scalar field with or without background charge, depending on the
choices above.
|
[
{
"created": "Tue, 25 Oct 2011 20:00:16 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Mar 2012 08:45:07 GMT",
"version": "v2"
}
] |
2012-03-27
|
[
[
"Afshar",
"Hamid",
""
],
[
"Cvetković",
"Branislav",
""
],
[
"Ertl",
"Sabine",
""
],
[
"Grumiller",
"Daniel",
""
],
[
"Johansson",
"Niklas",
""
]
] |
We discuss a fine-tuning of rather generic three dimensional higher-curvature gravity actions that leads to gauge symmetry enhancement at the linearized level via partial masslessness. Requiring this gauge symmetry to be present also non-linearly reduces such actions to conformal Chern-Simons gravity. We perform a canonical analysis of this theory and construct the gauge generators and associated charges. We provide and classify admissible boundary conditions. The boundary conditions on the conformal equivalence class of the metric render one chirality of the partially massless Weyl gravitons normalizable and the remaining one non-normalizable. There are three choices - trivial, fixed or free - for the Weyl factors of the bulk metric and of the boundary metric. This proliferation of boundary conditions leads to various physically distinct scenarios of holography that we study in detail, extending considerably the discussion initiated in 1106.6299. In particular, the dual CFT may contain an additional scalar field with or without background charge, depending on the choices above.
| 12.884948
| 13.674287
| 14.583377
| 12.328445
| 14.370121
| 13.294329
| 14.490218
| 12.6354
| 13.912297
| 15.786992
| 13.219647
| 13.390517
| 13.190704
| 12.823654
| 13.075319
| 12.803772
| 13.022152
| 12.767327
| 12.869261
| 13.289594
| 12.563779
|
2005.05807
|
Timothy Adamo
|
Tim Adamo, Anton Ilderton
|
Classical and quantum double copy of back-reaction
|
34 pages, 1 figure. v2: published version, improvements to section
4.1
|
JHEP 2009: 200, 2020
|
10.1007/JHEP09(2020)200
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider radiation emitted by colour-charged and massive particles
crossing strong plane wave backgrounds in gauge theory and gravity. These
backgrounds are treated exactly and non-perturbatively throughout. We compute
the back-reaction on these fields from the radiation emitted by the probe
particles: classically through background-coupled worldline theories, and at
tree-level in the quantum theory through three-point amplitudes. Consistency of
these two methods is established explicitly. We show that the gauge theory and
gravity amplitudes are related by the double copy for amplitudes on plane wave
backgrounds. Finally, we demonstrate that in four-dimensions these calculations
can be carried out with a background-dressed version of the massive
spinor-helicity formalism.
|
[
{
"created": "Tue, 12 May 2020 14:20:10 GMT",
"version": "v1"
},
{
"created": "Sun, 4 Oct 2020 09:25:23 GMT",
"version": "v2"
}
] |
2020-10-28
|
[
[
"Adamo",
"Tim",
""
],
[
"Ilderton",
"Anton",
""
]
] |
We consider radiation emitted by colour-charged and massive particles crossing strong plane wave backgrounds in gauge theory and gravity. These backgrounds are treated exactly and non-perturbatively throughout. We compute the back-reaction on these fields from the radiation emitted by the probe particles: classically through background-coupled worldline theories, and at tree-level in the quantum theory through three-point amplitudes. Consistency of these two methods is established explicitly. We show that the gauge theory and gravity amplitudes are related by the double copy for amplitudes on plane wave backgrounds. Finally, we demonstrate that in four-dimensions these calculations can be carried out with a background-dressed version of the massive spinor-helicity formalism.
| 12.152912
| 11.006378
| 12.337214
| 10.616292
| 11.879485
| 11.960138
| 11.307563
| 11.16869
| 10.708246
| 12.705093
| 10.074611
| 11.224367
| 11.852612
| 11.166852
| 11.164235
| 11.367962
| 11.193848
| 11.522956
| 10.801548
| 11.751769
| 11.011736
|
1703.00511
|
Alireza Behtash
|
Alireza Behtash
|
More on Homological Supersymmetric Quantum Mechanics
|
29 pages, 13 figures. v3 Improved version, more references added,
conclusions added, typos fixed, accepted for publication in PRD
|
Phys. Rev. D 97, 065002 (2018)
|
10.1103/PhysRevD.97.065002
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work, we first solve complex Morse flow equations for the simplest
case of a bosonic harmonic oscillator to discuss localization in the context of
Picard-Lefschetz theory. We briefly touch on the exact non-BPS solutions of the
bosonized supersymmetric quantum mechanics on algebraic geometric grounds and
report that their complex phases can be accessed through the cohomology of WKB
1-form of the underlying singular spectral curve subject to necessary
cohomological corrections for non-zero genus. Motivated by Picard-Lefschetz
theory, we write down a general formula for the index of $\mathcal{N} = 4$
quantum mechanics with background $R$-symmetry gauge fields. We conjecture that
certain symmetries of the refined Witten index and singularities of the moduli
space may be used to determine the correct intersection coefficients. A few
examples, where this conjecture holds, are shown in both linear and closed
quivers with rank-one quiver gauge groups. The $R$-anomaly removal along the
"Morsified" relative homology cycles also called "Lefschetz thimbles" is shown
to lead to the appearance of Stokes lines. We show that the Fayet-Iliopoulos
(FI) parameters appear in the intersection coefficients for the relative
homology of the quiver quantum mechanics resulting from dimensional reduction
of $2d$ $\mathcal{N}=(2,2)$ gauge theory on a circle and explicitly calculate
integrals along the Lefschetz thimbles in $\mathcal{N}=4$ $\mathbb{CP}^{k-1}$
model. The Stokes jumping of coefficients and its relation to wall crossing
phenomena is briefly discussed. We also find that the notion of "on-the-wall"
index is related to the invariant Lefschetz thimbles under Stokes phenomena. An
implication of the Lefschetz thimbles in constructing knots from quiver quantum
mechanics is indicated.
|
[
{
"created": "Wed, 1 Mar 2017 21:15:14 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Mar 2017 00:08:40 GMT",
"version": "v2"
},
{
"created": "Fri, 9 Feb 2018 02:24:05 GMT",
"version": "v3"
}
] |
2018-03-12
|
[
[
"Behtash",
"Alireza",
""
]
] |
In this work, we first solve complex Morse flow equations for the simplest case of a bosonic harmonic oscillator to discuss localization in the context of Picard-Lefschetz theory. We briefly touch on the exact non-BPS solutions of the bosonized supersymmetric quantum mechanics on algebraic geometric grounds and report that their complex phases can be accessed through the cohomology of WKB 1-form of the underlying singular spectral curve subject to necessary cohomological corrections for non-zero genus. Motivated by Picard-Lefschetz theory, we write down a general formula for the index of $\mathcal{N} = 4$ quantum mechanics with background $R$-symmetry gauge fields. We conjecture that certain symmetries of the refined Witten index and singularities of the moduli space may be used to determine the correct intersection coefficients. A few examples, where this conjecture holds, are shown in both linear and closed quivers with rank-one quiver gauge groups. The $R$-anomaly removal along the "Morsified" relative homology cycles also called "Lefschetz thimbles" is shown to lead to the appearance of Stokes lines. We show that the Fayet-Iliopoulos (FI) parameters appear in the intersection coefficients for the relative homology of the quiver quantum mechanics resulting from dimensional reduction of $2d$ $\mathcal{N}=(2,2)$ gauge theory on a circle and explicitly calculate integrals along the Lefschetz thimbles in $\mathcal{N}=4$ $\mathbb{CP}^{k-1}$ model. The Stokes jumping of coefficients and its relation to wall crossing phenomena is briefly discussed. We also find that the notion of "on-the-wall" index is related to the invariant Lefschetz thimbles under Stokes phenomena. An implication of the Lefschetz thimbles in constructing knots from quiver quantum mechanics is indicated.
| 9.547517
| 10.534743
| 12.313106
| 10.657475
| 10.680531
| 10.630238
| 10.129214
| 10.91094
| 10.208998
| 11.954921
| 10.451612
| 9.686769
| 10.446881
| 9.721697
| 10.032207
| 9.740927
| 9.824333
| 9.871395
| 9.54789
| 10.387509
| 9.737801
|
hep-th/0111266
|
Gregory Gabadadze
|
Gia Dvali, Gregory Gabadadze, Xin-rui Hou, Emiliano Sefusatti
|
See-Saw Modification of Gravity
|
24 LaTex pages; v2: comments added, typos corrected
|
Phys.Rev. D67 (2003) 044019
|
10.1103/PhysRevD.67.044019
|
NYU-TH/01/11/15, TPI-MIN-01/52, UMN-TH-2033/01
|
hep-th hep-ph
| null |
We discuss a model in which the fundamental scale of gravity is restricted to
10^{-3} eV. An observable modification of gravity occurs simultaneously at the
Hubble distance and at around 0.1 mm. These predictions can be tested both by
the table-top experiments and by cosmological measurements. The model is
formulated as a brane-world theory embedded in a space with two or more
infinite-volume extra dimensions. Gravity on the brane reproduces the
four-dimensional laws at observable distances but turns to the high-dimensional
behavior at larger scales. To determine the crossover distance we smooth out
the singularities in the Green's functions by taking into account softening of
the graviton propagator due to the high-dimensional operators that are
suppressed by the fundamental scale. We find that irrespective of the precise
nature of microscopic gravity the ultraviolet and infrared scales of
gravity-modification are rigidly correlated. This fixes the fundamental scale
of gravity at 10^{-3} eV. The result persists for nonzero thickness branes.
|
[
{
"created": "Thu, 29 Nov 2001 20:27:38 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Jan 2002 17:31:58 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Dvali",
"Gia",
""
],
[
"Gabadadze",
"Gregory",
""
],
[
"Hou",
"Xin-rui",
""
],
[
"Sefusatti",
"Emiliano",
""
]
] |
We discuss a model in which the fundamental scale of gravity is restricted to 10^{-3} eV. An observable modification of gravity occurs simultaneously at the Hubble distance and at around 0.1 mm. These predictions can be tested both by the table-top experiments and by cosmological measurements. The model is formulated as a brane-world theory embedded in a space with two or more infinite-volume extra dimensions. Gravity on the brane reproduces the four-dimensional laws at observable distances but turns to the high-dimensional behavior at larger scales. To determine the crossover distance we smooth out the singularities in the Green's functions by taking into account softening of the graviton propagator due to the high-dimensional operators that are suppressed by the fundamental scale. We find that irrespective of the precise nature of microscopic gravity the ultraviolet and infrared scales of gravity-modification are rigidly correlated. This fixes the fundamental scale of gravity at 10^{-3} eV. The result persists for nonzero thickness branes.
| 12.46988
| 12.126635
| 12.270978
| 10.830228
| 12.185365
| 12.566988
| 12.997548
| 12.931613
| 11.577605
| 13.667262
| 11.728462
| 11.662346
| 11.863528
| 11.59469
| 11.723013
| 11.975918
| 11.910192
| 11.928739
| 11.932837
| 12.117661
| 11.715038
|
hep-th/0304051
|
Kazuo Ghoroku
|
Kazuo Ghoroku, Motoi Tachibana and Nobuhiro Uekusa
|
Dilaton coupled brane-world and field trapping
|
15 pages, 1 figures
|
Phys.Rev. D68 (2003) 125002
|
10.1103/PhysRevD.68.125002
|
FIT HE - 03-02,KYUSHU-HET 65
|
hep-th
| null |
We address solutions of brane-world with cosmological constant $\lambda$ by
introducing the dilaton in 5d bulk, and we examine the localization of
graviton, gauge bosons and dilaton. For those solutions, we find that both
graviton and gauge bosons can be trapped for either sign, positive or negative,
and wide range of $\lambda$ due to the non-trivial dilaton. While the dilaton
can not be trapped on the brane.
|
[
{
"created": "Mon, 7 Apr 2003 09:24:40 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Apr 2003 00:31:48 GMT",
"version": "v2"
},
{
"created": "Sat, 26 Jul 2003 06:44:14 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Ghoroku",
"Kazuo",
""
],
[
"Tachibana",
"Motoi",
""
],
[
"Uekusa",
"Nobuhiro",
""
]
] |
We address solutions of brane-world with cosmological constant $\lambda$ by introducing the dilaton in 5d bulk, and we examine the localization of graviton, gauge bosons and dilaton. For those solutions, we find that both graviton and gauge bosons can be trapped for either sign, positive or negative, and wide range of $\lambda$ due to the non-trivial dilaton. While the dilaton can not be trapped on the brane.
| 10.118464
| 8.264368
| 10.237927
| 8.252366
| 9.122537
| 9.363121
| 8.823692
| 8.522206
| 8.53467
| 10.766428
| 8.278024
| 9.584412
| 9.922439
| 9.390747
| 8.931146
| 9.373141
| 9.294333
| 9.391106
| 9.109016
| 9.366768
| 9.218019
|
1801.03323
|
Guilherme Martins Alves de Almeida
|
Willien O. Santos, Guilherme M. A. Almeida, Andre M. C. Souza
|
Noncommutative quantum Hall effect in graphene
|
7 pages
| null | null | null |
hep-th cond-mat.mes-hall quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss the quantum Hall effect on a single-layer graphene in the
framework of noncommutative (NC) phase space. We find it induces a shift in the
Hall resistivity. Furthermore, comparison with experimental data reveals an
upper bound on the magnitude of the momentum NC parameter $\eta$ in about
$\sqrt{\eta}\leq 2.5 \, \mathrm{eV}/c$.
|
[
{
"created": "Wed, 10 Jan 2018 11:52:52 GMT",
"version": "v1"
}
] |
2018-01-11
|
[
[
"Santos",
"Willien O.",
""
],
[
"Almeida",
"Guilherme M. A.",
""
],
[
"Souza",
"Andre M. C.",
""
]
] |
We discuss the quantum Hall effect on a single-layer graphene in the framework of noncommutative (NC) phase space. We find it induces a shift in the Hall resistivity. Furthermore, comparison with experimental data reveals an upper bound on the magnitude of the momentum NC parameter $\eta$ in about $\sqrt{\eta}\leq 2.5 \, \mathrm{eV}/c$.
| 10.408467
| 9.346902
| 9.387033
| 8.965813
| 9.800805
| 9.06186
| 9.207396
| 8.368828
| 9.541812
| 9.15861
| 9.268152
| 9.579756
| 9.203168
| 8.942106
| 9.580111
| 8.920238
| 9.564892
| 9.007582
| 9.282243
| 9.147001
| 9.375647
|
hep-th/9808095
|
Gary Shiu
|
Gary Shiu and S.-H. Henry Tye
|
Bose-Fermi Degeneracy and Duality in Non-Supersymmetric Strings
|
Revtex 3.0, 30 pages, 6 figures, some statements are changed and some
new observations are made
|
Nucl.Phys. B542 (1999) 45-72
|
10.1016/S0550-3213(98)00775-5
|
CLNS 98/1567
|
hep-th hep-ph
| null |
Following Kachru, Kumar and Silverstein, we construct a set of
non-supersymmetric Type II string models which have equal numbers of bosons and
fermions at each mass level. The models are asymmetric {\bf Z}_2 \otimes {\bf
Z}_2^{\prime} orbifolds. We demonstrate that this bose-fermi degeneracy feature
implies that both the one-loop and the two-loop contributions to the
cosmological constant vanish. We conjecture that the cosmological constant
actually vanishes to all loops. We construct a strong-weak dual pair of models,
both of which have bose-fermi degeneracy. This implies that at least some of
the non-perturbative corrections to the cosmological constant are absent.
|
[
{
"created": "Mon, 17 Aug 1998 19:34:43 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Aug 1998 20:56:37 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Shiu",
"Gary",
""
],
[
"Tye",
"S. -H. Henry",
""
]
] |
Following Kachru, Kumar and Silverstein, we construct a set of non-supersymmetric Type II string models which have equal numbers of bosons and fermions at each mass level. The models are asymmetric {\bf Z}_2 \otimes {\bf Z}_2^{\prime} orbifolds. We demonstrate that this bose-fermi degeneracy feature implies that both the one-loop and the two-loop contributions to the cosmological constant vanish. We conjecture that the cosmological constant actually vanishes to all loops. We construct a strong-weak dual pair of models, both of which have bose-fermi degeneracy. This implies that at least some of the non-perturbative corrections to the cosmological constant are absent.
| 7.038281
| 5.821824
| 5.812941
| 5.454809
| 5.807651
| 5.468529
| 5.640003
| 5.213882
| 5.184283
| 5.795948
| 5.213766
| 5.243279
| 5.426114
| 5.405549
| 5.538614
| 5.408356
| 5.681808
| 5.349639
| 5.512489
| 5.880443
| 5.537665
|
hep-th/9403153
|
Mazq
|
Bo-Yu Hou (Institute of Modern Physics, Northwest University, Xi'an,
P. R. China), Bo-Yuan Hou (Graduate School, Chinese Academy of Sciences,
Beijing, P. R. China), and Zhong-Qi Ma (Institute of High Energy Physics,
Beijing, P. R. of China)
|
q$-Deformed Chern Class, Chern-Simons and Cocycle Hierarchy
| null |
J.Phys.A28:543-558,1995
|
10.1088/0305-4470/28/3/011
|
BIHEP-TH-94-9
|
hep-th
| null |
In this paper, from the $q$-gauge covariant condition we define the
$q$-deformed Killing form and the second $q$-deformed Chern class for the
quantum group $SU_{q}(2)$. Developing Zumino's method we introduce a
$q$-deformed homotopy operator to compute the $q$-deformed Chern-Simons and the
$q$-deformed cocycle hierarchy. Some recursive relations related to the
generalized $q$-deformed Killing forms are derived to prove the cocycle
hierarchy formulas directly. At last, we construct the $q$-gauge covariant
Lagrangian and derive the $q$-deformed Yang-Mills equation. We find that the
components of the singlet and the adjoint representation are separated in the
$q$-deformed Chern class, $q$-deformed cocycle hierarchy and the $q$-deformed
Lagrangian, although they are mixed in the commutative relations of BRST
algebra.
|
[
{
"created": "Fri, 25 Mar 1994 20:05:42 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Hou",
"Bo-Yu",
"",
"Institute of Modern Physics, Northwest University, Xi'an,\n P. R. China"
],
[
"Hou",
"Bo-Yuan",
"",
"Graduate School, Chinese Academy of Sciences,\n Beijing, P. R. China"
],
[
"Ma",
"Zhong-Qi",
"",
"Institute of High Energy Physics,\n Beijing, P. R. of China"
]
] |
In this paper, from the $q$-gauge covariant condition we define the $q$-deformed Killing form and the second $q$-deformed Chern class for the quantum group $SU_{q}(2)$. Developing Zumino's method we introduce a $q$-deformed homotopy operator to compute the $q$-deformed Chern-Simons and the $q$-deformed cocycle hierarchy. Some recursive relations related to the generalized $q$-deformed Killing forms are derived to prove the cocycle hierarchy formulas directly. At last, we construct the $q$-gauge covariant Lagrangian and derive the $q$-deformed Yang-Mills equation. We find that the components of the singlet and the adjoint representation are separated in the $q$-deformed Chern class, $q$-deformed cocycle hierarchy and the $q$-deformed Lagrangian, although they are mixed in the commutative relations of BRST algebra.
| 6.563038
| 6.265425
| 7.240261
| 6.125104
| 6.503341
| 6.541654
| 6.18813
| 5.953472
| 6.279413
| 7.041342
| 6.276639
| 6.313431
| 6.558207
| 6.281309
| 6.171541
| 6.320115
| 6.513442
| 6.268227
| 6.342189
| 6.356845
| 6.183746
|
0801.3164
|
Hamzeh Alavirad
|
H. Alavirad and N. Riazi
|
Dark Energy From Fifth Dimension
| null | null | null | null |
hep-th
| null |
Observational evidence for the existence of dark energy is strong. Here we
suggest a model which is based on a modified gravitational theory in 5D and
interpret the 5th dimension as a manifestation of dark energy in the 4D
observable universe. We also obtain an equation of state parameter which varies
with time. Finally, we match our model with observations by choosing the free
parameters of the model.
|
[
{
"created": "Mon, 21 Jan 2008 10:27:44 GMT",
"version": "v1"
}
] |
2008-01-22
|
[
[
"Alavirad",
"H.",
""
],
[
"Riazi",
"N.",
""
]
] |
Observational evidence for the existence of dark energy is strong. Here we suggest a model which is based on a modified gravitational theory in 5D and interpret the 5th dimension as a manifestation of dark energy in the 4D observable universe. We also obtain an equation of state parameter which varies with time. Finally, we match our model with observations by choosing the free parameters of the model.
| 8.599483
| 9.230329
| 7.345005
| 7.499418
| 8.180285
| 7.767995
| 8.044916
| 7.352354
| 8.503162
| 7.423358
| 8.186802
| 8.072599
| 7.609282
| 7.841388
| 7.834082
| 7.762448
| 8.126849
| 7.471534
| 8.19782
| 7.645648
| 7.840754
|
1807.01718
|
Panagiotis Betzios
|
Panagiotis Betzios, Umut G\"ursoy, Matti J\"arvinen, Giuseppe
Policastro
|
Fluctuations in non-conformal holographic plasma at criticality
|
55 pages, 14 figures
|
Phys. Rev. D 101, 086026 (2020)
|
10.1103/PhysRevD.101.086026
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We continue the study initiated in [arXiv:1708.02252] of the fluctuations of
a strongly-coupled non-conformal plasma described holographically by Einstein
gravity coupled to a dilaton with an exponential potential. The plasma
approaches a critical point of a continuous phase transition in a specific
limit, where the metric becomes a linear-dilaton background. This results to an
analytic description of the quasi-normal mode spectrum, that can be extended
perturbatively in the deviation away from the critical point. In the previous
paper we showed that at criticality the quasinormal frequencies coalesce into a
branch cut on the real axis. In this paper we give a more extended and complete
discussion of these results. We compare in detail the numerical and analytical
approximations in order to confirm their validity; we study (numerically and in
a WKB approximation) the momentum dependence of the modes, in order to
determine the cross-over scale that limits the validity of the hydrodynamic
approximation, and which becomes arbitrarily low at the critical point; and we
discuss in detail the procedure we use to complete the theory in the UV by
gluing a slice of AdS geometry, and the extent to which it should provide a
good approximation to a smooth UV-complete situation.
|
[
{
"created": "Wed, 4 Jul 2018 18:00:39 GMT",
"version": "v1"
}
] |
2020-05-06
|
[
[
"Betzios",
"Panagiotis",
""
],
[
"Gürsoy",
"Umut",
""
],
[
"Järvinen",
"Matti",
""
],
[
"Policastro",
"Giuseppe",
""
]
] |
We continue the study initiated in [arXiv:1708.02252] of the fluctuations of a strongly-coupled non-conformal plasma described holographically by Einstein gravity coupled to a dilaton with an exponential potential. The plasma approaches a critical point of a continuous phase transition in a specific limit, where the metric becomes a linear-dilaton background. This results to an analytic description of the quasi-normal mode spectrum, that can be extended perturbatively in the deviation away from the critical point. In the previous paper we showed that at criticality the quasinormal frequencies coalesce into a branch cut on the real axis. In this paper we give a more extended and complete discussion of these results. We compare in detail the numerical and analytical approximations in order to confirm their validity; we study (numerically and in a WKB approximation) the momentum dependence of the modes, in order to determine the cross-over scale that limits the validity of the hydrodynamic approximation, and which becomes arbitrarily low at the critical point; and we discuss in detail the procedure we use to complete the theory in the UV by gluing a slice of AdS geometry, and the extent to which it should provide a good approximation to a smooth UV-complete situation.
| 10.222605
| 9.226916
| 9.948229
| 8.975843
| 9.459317
| 9.147767
| 9.046779
| 8.606396
| 8.940607
| 10.167874
| 8.900285
| 9.377028
| 9.743102
| 9.462339
| 9.651038
| 9.543388
| 9.734675
| 9.443151
| 9.384442
| 9.800344
| 9.539114
|
hep-th/0409298
|
Kluson Josef
|
J. Kluson
|
Non-BPS D-brane Near NS5-branes
|
21 pages
|
JHEP0411:013,2004
|
10.1088/1126-6708/2004/11/013
| null |
hep-th
| null |
We use tachyon field theory effective action to study the dynamics of a
non-BPS Dp-brane propagating in the vicinity of k NS5-branes. For the time
dependent tachyon condensation we will concentrate on the case of the large
tachyon and the case when a non-BPS D-brane is close to NS5-branes. For spatial
dependent tachyon condensation we will argue that the problem reduces to the
study of the motion of an array of D(p-1)-branes and D(p-1)-antibranes in the
vicinity of k NS5-branes.
|
[
{
"created": "Wed, 29 Sep 2004 08:49:26 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Kluson",
"J.",
""
]
] |
We use tachyon field theory effective action to study the dynamics of a non-BPS Dp-brane propagating in the vicinity of k NS5-branes. For the time dependent tachyon condensation we will concentrate on the case of the large tachyon and the case when a non-BPS D-brane is close to NS5-branes. For spatial dependent tachyon condensation we will argue that the problem reduces to the study of the motion of an array of D(p-1)-branes and D(p-1)-antibranes in the vicinity of k NS5-branes.
| 6.667779
| 5.718149
| 7.468882
| 5.621429
| 5.731655
| 5.556754
| 5.369575
| 5.518907
| 5.266681
| 7.087124
| 5.680785
| 5.830672
| 6.739529
| 5.995243
| 5.87062
| 5.917201
| 5.738226
| 6.050827
| 5.88871
| 6.694592
| 6.007154
|
1005.2523
|
Claudio Scrucca
|
Jean-Claude Jacot, Claudio A. Scrucca
|
Metastable supersymmetry breaking in N=2 non-linear sigma-models
|
50 pages, no figures; v2 minor corrections and addition of comments
and references
|
Nucl.Phys.B840:67-113,2010
|
10.1016/j.nuclphysb.2010.06.023
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We perform a general study of the issue of metastability for
supersymmetry-breaking vacua in theories with N=1 and N=2 global supersymmetry.
This problem turns out to capture all the important qualitative features of the
corresponding question in theories with local supersymmetry, where
gravitational effects induce only quantitative modifications. Moreover, it
allows to directly compare the conditions arising in the N=1 and N=2 cases,
since the latter becomes particular case of the former in the rigid limit. Our
strategy consists in a systematic investigation of the danger of instability
coming from the sGoldstini scalars, whose masses are entirely due to
supersymmetry breaking mass-splitting effects. We start by reviewing the
metastability conditions arising in general N=1 non-linear sigma-models with
chiral and vector multiplets. We then turn to the case of general N=2
non-linear sigma-models with hyper and vector multiplets. We first reproduce
and clarify the known no-go theorems applying to theories with only Abelian
vector multiplets and only hyper multiplets, and then derive new results
applying to more general cases. To make the comparison with N=1 models as clear
as possible, we rely on a formulation of N=2 models where one of the
supersymmetries is manifestly realized in terms of ordinary superfields,
whereas the other is realized through non-trivial transformations. We give a
self-contained account of such a construction of N=2 theories in N=1
superspace, generalizing previous work on various aspects to reach a general
and coordinate-covariant construction. We also present a direct computation of
the supertrace of the mass matrix.
|
[
{
"created": "Fri, 14 May 2010 13:31:31 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Jul 2010 13:31:30 GMT",
"version": "v2"
}
] |
2014-11-21
|
[
[
"Jacot",
"Jean-Claude",
""
],
[
"Scrucca",
"Claudio A.",
""
]
] |
We perform a general study of the issue of metastability for supersymmetry-breaking vacua in theories with N=1 and N=2 global supersymmetry. This problem turns out to capture all the important qualitative features of the corresponding question in theories with local supersymmetry, where gravitational effects induce only quantitative modifications. Moreover, it allows to directly compare the conditions arising in the N=1 and N=2 cases, since the latter becomes particular case of the former in the rigid limit. Our strategy consists in a systematic investigation of the danger of instability coming from the sGoldstini scalars, whose masses are entirely due to supersymmetry breaking mass-splitting effects. We start by reviewing the metastability conditions arising in general N=1 non-linear sigma-models with chiral and vector multiplets. We then turn to the case of general N=2 non-linear sigma-models with hyper and vector multiplets. We first reproduce and clarify the known no-go theorems applying to theories with only Abelian vector multiplets and only hyper multiplets, and then derive new results applying to more general cases. To make the comparison with N=1 models as clear as possible, we rely on a formulation of N=2 models where one of the supersymmetries is manifestly realized in terms of ordinary superfields, whereas the other is realized through non-trivial transformations. We give a self-contained account of such a construction of N=2 theories in N=1 superspace, generalizing previous work on various aspects to reach a general and coordinate-covariant construction. We also present a direct computation of the supertrace of the mass matrix.
| 7.665941
| 7.917744
| 8.530453
| 7.468159
| 7.92483
| 7.744672
| 7.952794
| 7.426993
| 7.202343
| 9.320032
| 7.659909
| 7.604612
| 7.662338
| 7.443094
| 7.623161
| 7.449231
| 7.629618
| 7.640209
| 7.566097
| 7.702249
| 7.472443
|
1702.07294
|
Patricio Gaete
|
Antonio Aurilia, Patricio Gaete, Jos\'e A. Helay\"el-Neto and Euro
Spallucci
|
The bosonized version of the Schwinger model in four dimensions: a
blueprint for confinement?
|
5 pages. arXiv admin note: text overlap with arXiv:1504.05810
| null |
10.1209/0295-5075/117/61001
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
For a $(3+1)$-dimensional generalization of the Schwinger model, we compute
the interaction energy between two test charges. The result shows that the
static potential profile contains a linear term leading to the confinement of
probe charges, exactly as in the original model in two dimensions. We further
show that the same 4-dimensional model also appears as one version of the $ B
\wedge F$ models in $(3+1)$ dimensions under dualization of Stueckelberg-like
massive gauge theories. Interestingly, this particular model is characterized
by the mixing between a $U(1)$ potential and an Abelian $3$-form field of the
type that appears in the topological sector of QCD.
|
[
{
"created": "Thu, 23 Feb 2017 17:00:54 GMT",
"version": "v1"
}
] |
2017-05-24
|
[
[
"Aurilia",
"Antonio",
""
],
[
"Gaete",
"Patricio",
""
],
[
"Helayël-Neto",
"José A.",
""
],
[
"Spallucci",
"Euro",
""
]
] |
For a $(3+1)$-dimensional generalization of the Schwinger model, we compute the interaction energy between two test charges. The result shows that the static potential profile contains a linear term leading to the confinement of probe charges, exactly as in the original model in two dimensions. We further show that the same 4-dimensional model also appears as one version of the $ B \wedge F$ models in $(3+1)$ dimensions under dualization of Stueckelberg-like massive gauge theories. Interestingly, this particular model is characterized by the mixing between a $U(1)$ potential and an Abelian $3$-form field of the type that appears in the topological sector of QCD.
| 11.434562
| 10.607586
| 11.87918
| 10.201688
| 10.868773
| 10.311636
| 9.920896
| 9.870387
| 10.298528
| 11.178274
| 9.592506
| 10.097227
| 10.346608
| 9.856022
| 10.217222
| 10.059066
| 10.098852
| 10.495551
| 10.158192
| 10.794724
| 10.380011
|
hep-th/0205314
|
Richard Corrado
|
Richard Corrado, Nick Halmagyi, Kristian D. Kennaway and Nicholas P.
Warner
|
Penrose Limits of RG Fixed Points and PP-Waves with Background Fluxes
|
20 pages, harvmac, refs. added, version to appear in
Adv.Theor.Math.Phys
|
Adv.Theor.Math.Phys. 6 (2003) 597-617
| null |
CITUSC/02-020, USC-02/04
|
hep-th
| null |
We consider a family of pp-wave solutions of IIB supergravity. This family
has a non-trivial, constant 5-form flux, and non-trivial, (light-cone)
time-dependent RR and NS-NS 3-form fluxes. The solutions have either 16 or 20
supersymmetries depending upon the time dependence. One member of this family
of solutions is the Penrose limit of the solution obtained by Pilch and Warner
as the dual of a Leigh-Strassler fixed point. The family of solutions also
provides indirect evidence in support of a recent conjecture concerning a large
N duality group that acts on RG flows of N=2 supersymmetric, quiver gauge
theories.
|
[
{
"created": "Thu, 30 May 2002 19:48:55 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Nov 2002 19:55:03 GMT",
"version": "v2"
},
{
"created": "Sat, 27 Dec 2003 00:50:55 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Corrado",
"Richard",
""
],
[
"Halmagyi",
"Nick",
""
],
[
"Kennaway",
"Kristian D.",
""
],
[
"Warner",
"Nicholas P.",
""
]
] |
We consider a family of pp-wave solutions of IIB supergravity. This family has a non-trivial, constant 5-form flux, and non-trivial, (light-cone) time-dependent RR and NS-NS 3-form fluxes. The solutions have either 16 or 20 supersymmetries depending upon the time dependence. One member of this family of solutions is the Penrose limit of the solution obtained by Pilch and Warner as the dual of a Leigh-Strassler fixed point. The family of solutions also provides indirect evidence in support of a recent conjecture concerning a large N duality group that acts on RG flows of N=2 supersymmetric, quiver gauge theories.
| 7.194008
| 6.712874
| 8.383782
| 6.937718
| 7.487271
| 7.162905
| 6.98088
| 6.580797
| 7.186278
| 9.329939
| 6.428388
| 7.224682
| 7.690868
| 7.445651
| 7.225142
| 7.245157
| 7.141356
| 7.180221
| 7.276763
| 7.497204
| 7.374724
|
1606.00693
|
Baocheng Zhang
|
Baocheng Zhang
|
Thermodynamics of acoustic black holes in two dimensions
| null |
Advances in High Energy Physics,Volume 2016 (2016), Article ID
5710625
|
10.1155/2016/5710625
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is well-known that the thermal Hawking-like radiation can be emitted from
the acoustic horizon, but the thermodynamic-like understanding for acoustic
black holes was rarely made. In this paper, we will show that the kinematic
connection can lead to the dynamic connection at the horizon between the fluid
and gravitational models in two dimension, which implies that there exists the
thermodynamic-like description for acoustic black holes. Then, we discuss the
first law of thermodynamics for the acoustic black hole via an intriguing
connection between the gravitational-like dynamics of the acoustic horizon and
thermodynamics. We obtain a universal form for the entropy of acoustic black
holes, which has an interpretation similar to the entropic gravity. We also
discuss the specific heat, and find that the derivative of the velocity of
background fluid can be regarded as a novel acoustic analogue of the
two-dimensional dilaton potential, which interprets why the two-dimensional
fluid dynamics can be connected to the gravitational dynamics but difficult for
four-dimensional case. In particular, when a constraint is added for the fluid,
the analogue of a Schwarzschild black hole can be realized.
|
[
{
"created": "Thu, 2 Jun 2016 14:25:00 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Aug 2016 03:33:58 GMT",
"version": "v2"
}
] |
2016-08-08
|
[
[
"Zhang",
"Baocheng",
""
]
] |
It is well-known that the thermal Hawking-like radiation can be emitted from the acoustic horizon, but the thermodynamic-like understanding for acoustic black holes was rarely made. In this paper, we will show that the kinematic connection can lead to the dynamic connection at the horizon between the fluid and gravitational models in two dimension, which implies that there exists the thermodynamic-like description for acoustic black holes. Then, we discuss the first law of thermodynamics for the acoustic black hole via an intriguing connection between the gravitational-like dynamics of the acoustic horizon and thermodynamics. We obtain a universal form for the entropy of acoustic black holes, which has an interpretation similar to the entropic gravity. We also discuss the specific heat, and find that the derivative of the velocity of background fluid can be regarded as a novel acoustic analogue of the two-dimensional dilaton potential, which interprets why the two-dimensional fluid dynamics can be connected to the gravitational dynamics but difficult for four-dimensional case. In particular, when a constraint is added for the fluid, the analogue of a Schwarzschild black hole can be realized.
| 11.5042
| 11.286751
| 11.654704
| 10.818763
| 11.385818
| 11.520602
| 12.125334
| 10.979388
| 11.114519
| 11.995347
| 11.70133
| 11.129585
| 11.242014
| 10.942406
| 10.734726
| 10.952963
| 10.76967
| 10.832821
| 11.179269
| 11.421132
| 10.911166
|
hep-th/0008127
|
Amer Iqbal
|
Amer Iqbal, Asad Naqvi
|
On Marginal Deformations in Superstring Field Theory
|
20 pages, 8 figures
|
JHEP 0101 (2001) 040
|
10.1088/1126-6708/2001/01/040
|
MIT-CTP-3014
|
hep-th
| null |
We use level truncated superstring field theory to obtain the effective
potential for the Wilson line marginal deformation parameter which corresponds
to the constant vacuum expectation value of the U(1) gauge field on the D-brane
in a particular direction. We present results for both the BPS and the non-BPS
D-brane. In the case of non-BPS D-brane the effective potential has branches
corresponding to the extrema of the tachyon potential. In the branch with
vanishing tachyon vev (M-branch), the effective potential becomes flatter as
the level of the approximation is increased. The branch which corresponds to
the stable vacuum after the tachyon has condensed (V-branch) exists only for a
finite range of values of marginal deformation parameter. We use our results to
find the mass of the gauge field in the stable tachyonic vacuum. We find this
mass to be of a non-zero value which seems to stabilize as the level
approximation is improved.
|
[
{
"created": "Tue, 15 Aug 2000 22:49:58 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Iqbal",
"Amer",
""
],
[
"Naqvi",
"Asad",
""
]
] |
We use level truncated superstring field theory to obtain the effective potential for the Wilson line marginal deformation parameter which corresponds to the constant vacuum expectation value of the U(1) gauge field on the D-brane in a particular direction. We present results for both the BPS and the non-BPS D-brane. In the case of non-BPS D-brane the effective potential has branches corresponding to the extrema of the tachyon potential. In the branch with vanishing tachyon vev (M-branch), the effective potential becomes flatter as the level of the approximation is increased. The branch which corresponds to the stable vacuum after the tachyon has condensed (V-branch) exists only for a finite range of values of marginal deformation parameter. We use our results to find the mass of the gauge field in the stable tachyonic vacuum. We find this mass to be of a non-zero value which seems to stabilize as the level approximation is improved.
| 7.964828
| 6.681027
| 8.063663
| 7.147881
| 7.389537
| 7.469015
| 6.966161
| 6.887813
| 6.766669
| 9.492048
| 6.777058
| 6.741603
| 7.473927
| 6.77337
| 6.742621
| 7.290504
| 6.6211
| 6.719323
| 6.922298
| 7.733928
| 7.020102
|
1806.05475
|
Nemani V. Suryanarayana
|
Atanu Bhatta, Prashanth Raman and Nemani V. Suryanarayana
|
Scalar Blocks as Gravitational Wilson Networks
|
36 pages
| null |
10.1007/JHEP12(2018)125
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we continue to develop further our prescription
[arXiv:1602.02962] to holographically compute the conformal partial waves of
CFT correlation functions using the gravitational open Wilson network operators
in the bulk. In particular, we demonstrate how to implement it to compute
four-point scalar partial waves in general dimension. In the process we
introduce the concept of OPE modules, that helps us simplify the computations.
Our result for scalar partial waves is naturally given in terms of the
Gegenbauer polynomials. We also provide a simpler proof of a previously known
recursion relation for the even dimensional CFT partial waves, which naturally
leads us to an odd dimensional counterpart.
|
[
{
"created": "Thu, 14 Jun 2018 11:30:48 GMT",
"version": "v1"
}
] |
2019-01-30
|
[
[
"Bhatta",
"Atanu",
""
],
[
"Raman",
"Prashanth",
""
],
[
"Suryanarayana",
"Nemani V.",
""
]
] |
In this paper we continue to develop further our prescription [arXiv:1602.02962] to holographically compute the conformal partial waves of CFT correlation functions using the gravitational open Wilson network operators in the bulk. In particular, we demonstrate how to implement it to compute four-point scalar partial waves in general dimension. In the process we introduce the concept of OPE modules, that helps us simplify the computations. Our result for scalar partial waves is naturally given in terms of the Gegenbauer polynomials. We also provide a simpler proof of a previously known recursion relation for the even dimensional CFT partial waves, which naturally leads us to an odd dimensional counterpart.
| 11.338098
| 9.959141
| 12.432894
| 10.717001
| 9.741602
| 10.134183
| 9.211041
| 11.089772
| 9.757785
| 12.880055
| 9.824875
| 10.583257
| 10.98946
| 10.401343
| 10.223266
| 10.165947
| 10.356174
| 10.199681
| 10.37473
| 11.400919
| 10.477147
|
2112.11437
|
Daichi Takeda
|
Daichi Takeda
|
Light-cone cuts and hole-ography: explicit reconstruction of bulk
metrics
|
21 pages, 5 figures, version to appear in JHEP
| null |
10.1007/JHEP04(2022)124
|
KUNS-2909
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, the two reconstruction methods, light-cone cuts method and
hole-ography, are combined to provide complete bulk metrics of locally AdS$_3$
static spacetimes. As examples, our method is applied to the geometries of pure
AdS$_3$, AdS$_3$ soliton, and BTZ black hole, and we see them successfully
reconstructed. The light-cone cuts method is known to have difficulty in
obtaining conformal factors, while the hole-ography in describing temporal
components. Combining the two methods, we overcome the disadvantages and give
complete metrics for a class of holographic theories such that entanglement
wedge and causal wedge coincide. Light-cone cuts are identified by entanglement
entropy in our method. We expect our study to lead to the discovery of a
universal relation between the two methods, by which the combination would be
applied to more generic cases.
|
[
{
"created": "Tue, 21 Dec 2021 18:52:56 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Apr 2022 00:42:11 GMT",
"version": "v2"
}
] |
2022-05-11
|
[
[
"Takeda",
"Daichi",
""
]
] |
In this paper, the two reconstruction methods, light-cone cuts method and hole-ography, are combined to provide complete bulk metrics of locally AdS$_3$ static spacetimes. As examples, our method is applied to the geometries of pure AdS$_3$, AdS$_3$ soliton, and BTZ black hole, and we see them successfully reconstructed. The light-cone cuts method is known to have difficulty in obtaining conformal factors, while the hole-ography in describing temporal components. Combining the two methods, we overcome the disadvantages and give complete metrics for a class of holographic theories such that entanglement wedge and causal wedge coincide. Light-cone cuts are identified by entanglement entropy in our method. We expect our study to lead to the discovery of a universal relation between the two methods, by which the combination would be applied to more generic cases.
| 12.306376
| 11.832202
| 12.365431
| 11.232947
| 11.733521
| 11.83217
| 11.50795
| 10.834562
| 11.550189
| 12.796973
| 10.686419
| 11.172506
| 11.418669
| 11.331172
| 11.018752
| 11.082533
| 11.485812
| 11.567363
| 11.361072
| 12.041267
| 11.646841
|
2310.05880
|
Jacques Distler
|
Aswin Balasubramanian, Jacques Distler, Ron Donagi, Carlos
Perez-Pardavila
|
The Hitchin Image in Type-D
|
Revisions to Section 4.2. The precise conditions for part (i) of
Theorem 2 are corrected and the Proof of the Theorem improved
| null | null |
UTWI-37-2023
|
hep-th math.AG math.RT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Motivated by their appearance as Coulomb branch geometries of Class S
theories, we study the image of the local Hitchin map in tame Hitchin systems
of type-D with residue in a special nilpotent orbit $\mathcal{O}_H$. We
describe two important features which distinguish it from the type A case
studied in arXiv:2008.01020. The first feature, which we term even type
constraints, arise iff the partition label $[\mathcal{O}_H]$ has even parts. In
this case, our Hitchin image is non-singular and thus different from the one
studied by Baraglia and Kamgarpour. We argue that our Hitchin image always
globalizes to being the Hitchin base of an integrable system. The second
feature, which we term odd type constraints, is related to a particular finite
group $\overline{A}_b(\mathcal{O}_H)$ being non-trivial. When this finite group
is non-trivial, we have $\mid \overline{A}_b \mid$ choices for the local
Hitchin base. Additionally, we also show that the finite group
$\overline{A}_b(\mathcal{O}_H)$ encodes the size of the dual special piece.
|
[
{
"created": "Mon, 9 Oct 2023 17:21:00 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Mar 2024 16:48:41 GMT",
"version": "v2"
}
] |
2024-03-14
|
[
[
"Balasubramanian",
"Aswin",
""
],
[
"Distler",
"Jacques",
""
],
[
"Donagi",
"Ron",
""
],
[
"Perez-Pardavila",
"Carlos",
""
]
] |
Motivated by their appearance as Coulomb branch geometries of Class S theories, we study the image of the local Hitchin map in tame Hitchin systems of type-D with residue in a special nilpotent orbit $\mathcal{O}_H$. We describe two important features which distinguish it from the type A case studied in arXiv:2008.01020. The first feature, which we term even type constraints, arise iff the partition label $[\mathcal{O}_H]$ has even parts. In this case, our Hitchin image is non-singular and thus different from the one studied by Baraglia and Kamgarpour. We argue that our Hitchin image always globalizes to being the Hitchin base of an integrable system. The second feature, which we term odd type constraints, is related to a particular finite group $\overline{A}_b(\mathcal{O}_H)$ being non-trivial. When this finite group is non-trivial, we have $\mid \overline{A}_b \mid$ choices for the local Hitchin base. Additionally, we also show that the finite group $\overline{A}_b(\mathcal{O}_H)$ encodes the size of the dual special piece.
| 11.060415
| 12.538625
| 12.042651
| 11.24579
| 11.958578
| 12.300662
| 11.170999
| 11.019223
| 10.544239
| 13.587052
| 10.639874
| 11.033538
| 10.854499
| 10.476398
| 10.791227
| 10.709224
| 10.844326
| 10.608876
| 10.613126
| 11.408948
| 10.362781
|
hep-th/0005135
|
P. S. Howe
|
P. Heslop, P. S. Howe
|
On Harmonic Superspaces and Superconformal Fields in Four Dimensions
|
31 pages, latex
|
Class.Quant.Grav. 17 (2000) 3743-3768
|
10.1088/0264-9381/17/18/311
|
KCL-TH-00-22
|
hep-th
| null |
Representations of four-dimensional superconformal groups on harmonic
superfields are discussed. It is shown how various short representations can be
obtained by parabolic induction. It is also shown that such short multiplets
may admit several descriptions as superfields on different superspaces. In
particular, this is the case for on-shell massless superfields. This allows a
description of short representations as explicit products of fundamental
fields. Superconformal transformations of analytic fields in real harmonic
superspaces are given explicitly.
|
[
{
"created": "Mon, 15 May 2000 18:08:11 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Heslop",
"P.",
""
],
[
"Howe",
"P. S.",
""
]
] |
Representations of four-dimensional superconformal groups on harmonic superfields are discussed. It is shown how various short representations can be obtained by parabolic induction. It is also shown that such short multiplets may admit several descriptions as superfields on different superspaces. In particular, this is the case for on-shell massless superfields. This allows a description of short representations as explicit products of fundamental fields. Superconformal transformations of analytic fields in real harmonic superspaces are given explicitly.
| 13.353309
| 10.639256
| 15.511837
| 10.834115
| 11.843267
| 9.822405
| 10.356383
| 10.092152
| 10.896232
| 15.065156
| 10.64466
| 11.491592
| 13.145882
| 11.849102
| 12.03885
| 10.950584
| 11.62854
| 11.169571
| 11.586745
| 13.275998
| 11.953348
|
2405.15846
|
Gabriel J. S. Bliard
|
Gabriel Bliard
|
On multipoint Ward identities for superconformal line defects
|
25 pages, 1 figure
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
Superconformal Ward identities are revisited in the context of superconformal
line defects. Multipoint correlators of topological operators inserted on
superconformal lines are studied. In particular, it is known that protected
operators preserving enough of the supersymmetry become topological after
performing a topological twist. By definition, such a correlator is constant in
the topological limit. By analysing the topological constraint on the OPE of
such operators, the correlator is further constrained away from this limit. The
constraints on multipoint correlators match the known superconformal Ward
identities in the case of 4-point functions. This allows for an simple and
universal derivation of the superconformal Ward identities governing the
multipoint correlation functions of such operators. This concept is illustrated
by 1/2-BPS operators with an $su(2)$ R-symmetry and further explored in the
case of the displacement multiplet on the 1/2-BPS Wilson line in 4d
$\mathcal{N}=4$ super Yang-Mills theory supporting the conjectured multipoint
Ward identities in the literature.
|
[
{
"created": "Fri, 24 May 2024 18:00:00 GMT",
"version": "v1"
}
] |
2024-05-28
|
[
[
"Bliard",
"Gabriel",
""
]
] |
Superconformal Ward identities are revisited in the context of superconformal line defects. Multipoint correlators of topological operators inserted on superconformal lines are studied. In particular, it is known that protected operators preserving enough of the supersymmetry become topological after performing a topological twist. By definition, such a correlator is constant in the topological limit. By analysing the topological constraint on the OPE of such operators, the correlator is further constrained away from this limit. The constraints on multipoint correlators match the known superconformal Ward identities in the case of 4-point functions. This allows for an simple and universal derivation of the superconformal Ward identities governing the multipoint correlation functions of such operators. This concept is illustrated by 1/2-BPS operators with an $su(2)$ R-symmetry and further explored in the case of the displacement multiplet on the 1/2-BPS Wilson line in 4d $\mathcal{N}=4$ super Yang-Mills theory supporting the conjectured multipoint Ward identities in the literature.
| 8.28686
| 8.173452
| 9.031646
| 7.910444
| 7.760498
| 7.934491
| 7.973635
| 7.822107
| 8.096267
| 10.021256
| 7.605816
| 8.2331
| 8.536791
| 8.028472
| 7.90896
| 8.001524
| 7.95272
| 8.142323
| 7.746595
| 8.671994
| 8.076234
|
hep-th/9709044
|
Kazumi Okuyama
|
Kazuo Fujikawa and Kazumi Okuyama
|
SO(9,1) invariant matrix formulation of supermembrane
|
27 pages,Latex
|
Nucl.Phys. B510 (1998) 175-198
| null |
UT-787
|
hep-th
| null |
An $SO(9,1)$ invariant formulation of an 11-dimensional supermembrane is
presented by combining an $SO(10,1)$ invariant treatment of reparametrization
symmetry with an $SO(9,1)$ invariant $\theta_{R} = 0$ gauge of
$\kappa$-symmetry. The Lagrangian thus defined consists of polynomials in
dynamical variables (up to quartic terms in $X^{\mu}$ and up to the eighth
power in $\theta$), and reparametrization BRST symmetry is manifest. The area
preserving diffeomorphism is consistently incorporated and the area preserving
gauge symmetry is made explicit. The $SO(9,1)$ invariant theory contains terms
which cannot be induced by a naive dimensional reduction of higher dimensional
supersymmetric Yang-Mills theory. The $SO(9,1)$ invariant Hamiltonian and the
generator of area preserving diffeomorphism together with the supercharge are
matrix regularized by applying the standard procedure. As an application of the
present formulation, we evaluate the possible central charges in superalgebra
both in path integral and in canonical (Dirac) formalism, and we find only the
two-form charge $[X^\mu, X^\nu]$.
|
[
{
"created": "Fri, 5 Sep 1997 11:45:29 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Fujikawa",
"Kazuo",
""
],
[
"Okuyama",
"Kazumi",
""
]
] |
An $SO(9,1)$ invariant formulation of an 11-dimensional supermembrane is presented by combining an $SO(10,1)$ invariant treatment of reparametrization symmetry with an $SO(9,1)$ invariant $\theta_{R} = 0$ gauge of $\kappa$-symmetry. The Lagrangian thus defined consists of polynomials in dynamical variables (up to quartic terms in $X^{\mu}$ and up to the eighth power in $\theta$), and reparametrization BRST symmetry is manifest. The area preserving diffeomorphism is consistently incorporated and the area preserving gauge symmetry is made explicit. The $SO(9,1)$ invariant theory contains terms which cannot be induced by a naive dimensional reduction of higher dimensional supersymmetric Yang-Mills theory. The $SO(9,1)$ invariant Hamiltonian and the generator of area preserving diffeomorphism together with the supercharge are matrix regularized by applying the standard procedure. As an application of the present formulation, we evaluate the possible central charges in superalgebra both in path integral and in canonical (Dirac) formalism, and we find only the two-form charge $[X^\mu, X^\nu]$.
| 8.529251
| 8.666701
| 9.538994
| 8.296694
| 8.599535
| 8.254147
| 8.827429
| 8.505386
| 8.496213
| 10.3678
| 8.529757
| 8.557014
| 8.946656
| 8.422576
| 8.592157
| 8.613059
| 8.700122
| 8.459887
| 8.435789
| 8.535215
| 8.605569
|
hep-th/0501003
|
Roland E. Allen
|
Roland E. Allen and Seiichirou Yokoo
|
Sfermions and gauginos in a Lorentz-violating theory
|
5 pages, to be published in Proceedings of PASCOS'04 (World
Scientific)
| null |
10.1142/9789812701756_0045
| null |
hep-th
| null |
In Lorentz-violating supergravity, sfermions have spin 1/2 and other unusual
properties. If the dark matter consists of such particles, there is a natural
explanation for the apparent absence of cusps and other small scale structure:
The Lorentz-violating dark matter is cold because of the large particle mass,
but still moves at nearly the speed of light. Although the R-parity of a
sfermion, gaugino, or gravitino is +1 in the present theory, these particles
have an "S-parity'' which implies that the LSP is stable and that they are
produced in pairs. On the other hand, they can be clearly distinguished from
the superpartners of standard supersymmetry by their highly unconventional
properties.
|
[
{
"created": "Sat, 1 Jan 2005 18:54:18 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Allen",
"Roland E.",
""
],
[
"Yokoo",
"Seiichirou",
""
]
] |
In Lorentz-violating supergravity, sfermions have spin 1/2 and other unusual properties. If the dark matter consists of such particles, there is a natural explanation for the apparent absence of cusps and other small scale structure: The Lorentz-violating dark matter is cold because of the large particle mass, but still moves at nearly the speed of light. Although the R-parity of a sfermion, gaugino, or gravitino is +1 in the present theory, these particles have an "S-parity'' which implies that the LSP is stable and that they are produced in pairs. On the other hand, they can be clearly distinguished from the superpartners of standard supersymmetry by their highly unconventional properties.
| 9.986458
| 10.627352
| 10.062938
| 9.915617
| 11.214183
| 11.512442
| 10.563753
| 10.694247
| 9.944811
| 10.443614
| 10.306732
| 9.836075
| 9.53664
| 9.49134
| 9.38021
| 9.474727
| 9.623815
| 9.942199
| 9.729552
| 9.452538
| 9.696909
|
1509.00013
|
Christoph Uhlemann
|
Andreas Karch, Brandon Robinson, Christoph F. Uhlemann
|
A Precision Test of AdS/CFT with Flavor
|
7 pages, 1 figure
|
Phys. Rev. Lett. 115, 261601 (2015)
|
10.1103/PhysRevLett.115.261601
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this letter we put AdS/CFT dualities involving probe branes to a precision
test. On the holographic side we use a new class of supersymmetric D7-brane
embeddings into AdS$_5\times$S$^5$, which allow to describe N=4 SYM coupled to
massive N=2 supersymmetric flavors on S$^4$. With these embeddings we can
compare holographic results to a field theory analysis of the free energy using
supersymmetric localization. Localization allows us to get results at strong
coupling, and hence to compare in detail to AdS/CFT. We find analytically
matching results: a phase transition at the same critical mass in both
calculations and matching free energies up to a scheme-dependent constant in
both phases.
|
[
{
"created": "Mon, 31 Aug 2015 20:10:06 GMT",
"version": "v1"
}
] |
2015-12-30
|
[
[
"Karch",
"Andreas",
""
],
[
"Robinson",
"Brandon",
""
],
[
"Uhlemann",
"Christoph F.",
""
]
] |
In this letter we put AdS/CFT dualities involving probe branes to a precision test. On the holographic side we use a new class of supersymmetric D7-brane embeddings into AdS$_5\times$S$^5$, which allow to describe N=4 SYM coupled to massive N=2 supersymmetric flavors on S$^4$. With these embeddings we can compare holographic results to a field theory analysis of the free energy using supersymmetric localization. Localization allows us to get results at strong coupling, and hence to compare in detail to AdS/CFT. We find analytically matching results: a phase transition at the same critical mass in both calculations and matching free energies up to a scheme-dependent constant in both phases.
| 9.733632
| 8.782624
| 9.866942
| 8.270427
| 9.212937
| 9.523803
| 9.31179
| 8.257132
| 8.391887
| 11.2824
| 8.732797
| 9.244209
| 9.648015
| 8.970517
| 8.91716
| 8.981371
| 9.25181
| 9.029052
| 9.025173
| 9.591755
| 9.160666
|
1205.5388
|
Dmitriy Uvarov
|
D. V. Uvarov
|
Lagrangian mechanics of massless superparticle on AdS_4 x CP^3
superbackground
|
LaTeX, 16 pages. v2: minor improvements in the text, typos corrected,
reference added. Version accepted to Nucl. Phys. B
|
Nuclear Physics B v.867 (2013) 354-369
|
10.1016/j.nuclphysb.2012.10.008
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Massless superparticle model is considered on the OSp(4|6)/(SO(1,3) x U(3))
supercoset manifold and in the AdS_4 x CP^3 superspace. In the former case
integrability of the equations of motion is rather obvious, while for the AdS_4
x CP^3 superparticle we prove integrability in the partial kappa-symmetry gauge
for which 4 anticommuting coordinates related to the broken conformal
supersymmetry are set to zero. This allows us to propose expression for the Lax
pair that may encode complete equations of motion for the AdS_4 x CP^3
superparticle.
|
[
{
"created": "Thu, 24 May 2012 10:08:21 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Dec 2012 12:52:03 GMT",
"version": "v2"
}
] |
2012-12-14
|
[
[
"Uvarov",
"D. V.",
""
]
] |
Massless superparticle model is considered on the OSp(4|6)/(SO(1,3) x U(3)) supercoset manifold and in the AdS_4 x CP^3 superspace. In the former case integrability of the equations of motion is rather obvious, while for the AdS_4 x CP^3 superparticle we prove integrability in the partial kappa-symmetry gauge for which 4 anticommuting coordinates related to the broken conformal supersymmetry are set to zero. This allows us to propose expression for the Lax pair that may encode complete equations of motion for the AdS_4 x CP^3 superparticle.
| 8.018595
| 6.467891
| 9.280629
| 6.895369
| 6.429406
| 6.680406
| 6.746925
| 6.209121
| 6.389406
| 9.536913
| 6.653265
| 6.648401
| 7.964738
| 6.785473
| 6.694436
| 6.674394
| 6.880096
| 6.658454
| 7.106277
| 7.771183
| 6.758982
|
1911.03340
|
Gyula Fodor
|
Gyula Fodor
|
A review on radiation of oscillons and oscillatons
|
216 pages, 61 figures, all comments and suggestions are welcome to
improve the manuscript
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Numerical simulations show that a massive real scalar field in a nonlinear
theory can form long-lived oscillating localized states. For a self-interacting
scalar on a fixed background these objects are named oscillons, while for the
self-gravitating case they are called oscillatons. This extensive review is
about the history and various general properties of these solutions, though
mainly focusing on the small but nonzero classical scalar field radiation
emitted by them. The radiation for higher amplitude states can be calculated by
a spectral numerical method. For small and moderately large amplitudes an
analytical approach based on complex extension, asymptotic matching and Borel
summation can be used. This procedure for the calculation of the energy loss
rate is explained in a detailed way in this review, starting with the simplest
one-dimensional scalar oscillons at first, and reaching to $3+1$ dimensional
self-gravitating oscillatons based on that experience.
|
[
{
"created": "Fri, 8 Nov 2019 15:55:56 GMT",
"version": "v1"
}
] |
2019-11-11
|
[
[
"Fodor",
"Gyula",
""
]
] |
Numerical simulations show that a massive real scalar field in a nonlinear theory can form long-lived oscillating localized states. For a self-interacting scalar on a fixed background these objects are named oscillons, while for the self-gravitating case they are called oscillatons. This extensive review is about the history and various general properties of these solutions, though mainly focusing on the small but nonzero classical scalar field radiation emitted by them. The radiation for higher amplitude states can be calculated by a spectral numerical method. For small and moderately large amplitudes an analytical approach based on complex extension, asymptotic matching and Borel summation can be used. This procedure for the calculation of the energy loss rate is explained in a detailed way in this review, starting with the simplest one-dimensional scalar oscillons at first, and reaching to $3+1$ dimensional self-gravitating oscillatons based on that experience.
| 13.847101
| 14.318986
| 13.234646
| 12.923758
| 14.658728
| 15.46308
| 15.263828
| 12.655793
| 14.398833
| 14.690566
| 13.215945
| 12.877975
| 12.516549
| 12.793466
| 12.689258
| 12.943866
| 13.37606
| 12.52102
| 12.690383
| 12.742759
| 13.299775
|
hep-th/9803090
|
Klaus Behrndt
|
E. Bergshoeff, K. Behrndt
|
D-Instantons and asymptotic geometries
|
17 pages, LaTeX, 1 figure, minor corrections and refs added
|
Class.Quant.Grav.15:1801-1813,1998
|
10.1088/0264-9381/15/7/002
|
UG-2/98; HUB-EP-14/98
|
hep-th
| null |
The large N limit of D3-branes is expected to correspond to a superconformal
field theory living on the boundary of the anti-de Sitter space appearing in
the near-horizon geometry. Dualizing the D3-brane to a D-instanton, we show
that this limit is equivalent to a type IIB S-duality. In both cases one
effectively reaches the near-horizon geometry. This provides an alternative
approach to an earlier derivation of the same result that makes use of the
properties of a gravitational wave instead of the D-instanton.
|
[
{
"created": "Wed, 11 Mar 1998 09:31:05 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Mar 1998 13:45:02 GMT",
"version": "v2"
},
{
"created": "Sun, 15 Mar 1998 20:53:45 GMT",
"version": "v3"
}
] |
2014-11-18
|
[
[
"Bergshoeff",
"E.",
""
],
[
"Behrndt",
"K.",
""
]
] |
The large N limit of D3-branes is expected to correspond to a superconformal field theory living on the boundary of the anti-de Sitter space appearing in the near-horizon geometry. Dualizing the D3-brane to a D-instanton, we show that this limit is equivalent to a type IIB S-duality. In both cases one effectively reaches the near-horizon geometry. This provides an alternative approach to an earlier derivation of the same result that makes use of the properties of a gravitational wave instead of the D-instanton.
| 7.556128
| 7.047316
| 8.13338
| 6.910325
| 7.677272
| 7.223794
| 7.129781
| 7.480458
| 7.063354
| 8.013529
| 6.840462
| 6.917891
| 7.745118
| 6.862823
| 6.948802
| 6.737042
| 7.04803
| 6.798665
| 7.070939
| 7.615976
| 6.770734
|
1405.0513
|
Diego Chialva
|
Diego Chialva and Anupam Mazumdar
|
Super-Planckian excursions of the inflaton and quantum corrections
|
8 pages plus bibliography
| null |
10.1142/S0217732315400088
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Models of inflation with super-Planckian excursion seem well in agreement
with the recent observations of B- mode polarization in the cosmic microwave
background (CMB) radiation by the BICEP2 data. In this note, we highlight the
challenges faced by such models from ultraviolet (UV) completion. In
particular, we will discus radiative corrections to the inflaton Lagrangian and
to the gravitational sector. We will emphasize why we would require an UV
complete theory of gravity to tackle some of the issues for the super-Planckian
excursion. In particular, we will highlight how higher derivative terms in the
inflaton and gravity sectors cause problems from non-locality and ghosts, if
considered order by order, and thus prompt us to take into account infinite
series of such terms. We will also stress how the presence of a scale of new
physics below the Planck scale would make some of the UV related problems more
compelling and invalidate some of the remedies that have been proposed in the
literature. Finally, we will briefly speculate on possible ways of curing some
of the challenges.
|
[
{
"created": "Fri, 2 May 2014 20:56:54 GMT",
"version": "v1"
}
] |
2015-01-23
|
[
[
"Chialva",
"Diego",
""
],
[
"Mazumdar",
"Anupam",
""
]
] |
Models of inflation with super-Planckian excursion seem well in agreement with the recent observations of B- mode polarization in the cosmic microwave background (CMB) radiation by the BICEP2 data. In this note, we highlight the challenges faced by such models from ultraviolet (UV) completion. In particular, we will discus radiative corrections to the inflaton Lagrangian and to the gravitational sector. We will emphasize why we would require an UV complete theory of gravity to tackle some of the issues for the super-Planckian excursion. In particular, we will highlight how higher derivative terms in the inflaton and gravity sectors cause problems from non-locality and ghosts, if considered order by order, and thus prompt us to take into account infinite series of such terms. We will also stress how the presence of a scale of new physics below the Planck scale would make some of the UV related problems more compelling and invalidate some of the remedies that have been proposed in the literature. Finally, we will briefly speculate on possible ways of curing some of the challenges.
| 10.332446
| 9.485128
| 10.098945
| 9.369269
| 10.080354
| 10.495028
| 10.03159
| 9.645947
| 9.668708
| 10.413414
| 9.589931
| 9.398999
| 9.446748
| 9.325373
| 9.6019
| 9.455822
| 9.229892
| 9.321552
| 9.538348
| 9.591863
| 9.395838
|
1806.02563
|
Sergey Bondarenko
|
S.Bondarenko and S.Pozdnyakov
|
On correlators of Reggeon fields and operators of Wilson lines in high
energy QCD
|
20 pages, 10 figures
| null |
10.1142/S0217751X18502044
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note we derive Dyson-Schwinger hierarchy of the equations for the
correlators of reggeized gluon fields in the framework of Lipatov's high energy
QCD effective action formalism, \cite{LipatovEff,Our1,Our2,Our3,Our4}. The
explicit perturbative expressions for the correlators till correlator of four
Reggeon fields inclusively are obtained and different perturbative schemes for
the solutions of the equation for the two-field correlator are discussed. A
correspondence between the correlators of reggeized gluon fields and Wilson
line operators of longitudinal gluon field is established with the help of
\cite{Our4} paper results. The connection between the JIMWLK-Balitsky formalism
and Lipatov's effective action approach and applications of the obtained
results are also discussed.
|
[
{
"created": "Thu, 7 Jun 2018 08:45:08 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Oct 2018 07:43:45 GMT",
"version": "v2"
},
{
"created": "Sun, 2 Dec 2018 13:10:09 GMT",
"version": "v3"
}
] |
2019-01-30
|
[
[
"Bondarenko",
"S.",
""
],
[
"Pozdnyakov",
"S.",
""
]
] |
In this note we derive Dyson-Schwinger hierarchy of the equations for the correlators of reggeized gluon fields in the framework of Lipatov's high energy QCD effective action formalism, \cite{LipatovEff,Our1,Our2,Our3,Our4}. The explicit perturbative expressions for the correlators till correlator of four Reggeon fields inclusively are obtained and different perturbative schemes for the solutions of the equation for the two-field correlator are discussed. A correspondence between the correlators of reggeized gluon fields and Wilson line operators of longitudinal gluon field is established with the help of \cite{Our4} paper results. The connection between the JIMWLK-Balitsky formalism and Lipatov's effective action approach and applications of the obtained results are also discussed.
| 8.305394
| 8.391042
| 8.498005
| 7.735487
| 8.144373
| 8.484364
| 7.886861
| 8.773991
| 7.836308
| 9.215339
| 8.455115
| 7.844859
| 8.216675
| 7.636858
| 7.742835
| 8.167341
| 7.765753
| 7.790537
| 7.882244
| 7.860426
| 7.866282
|
1201.4231
|
Marco Billo'
|
Marco Billo, Marialuisa Frau, Luca Giacone, Alberto Lerda
|
Non-perturbative gauge couplings from holography
|
6 pages. Proceedings of the "XVII European Workshop on String Theory
2011", Padova, Italy, 5-9 September 2011
| null |
10.1002/prop.201200007
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show how D-instanton corrections modify the dilaton-axion profile emitted
by an O7/D7 system turning it into the non-singular F-theory background which
corresponds to the effective coupling on a D3 probe.
|
[
{
"created": "Fri, 20 Jan 2012 08:44:34 GMT",
"version": "v1"
}
] |
2016-01-20
|
[
[
"Billo",
"Marco",
""
],
[
"Frau",
"Marialuisa",
""
],
[
"Giacone",
"Luca",
""
],
[
"Lerda",
"Alberto",
""
]
] |
We show how D-instanton corrections modify the dilaton-axion profile emitted by an O7/D7 system turning it into the non-singular F-theory background which corresponds to the effective coupling on a D3 probe.
| 24.340347
| 17.362415
| 27.174706
| 19.146923
| 18.886745
| 19.693323
| 19.082674
| 16.60034
| 17.120914
| 27.287056
| 20.122631
| 20.110752
| 24.648752
| 19.127432
| 20.046957
| 18.939041
| 18.917521
| 20.317648
| 19.011433
| 25.773909
| 19.690634
|
hep-th/0607098
|
Jin-Ho Cho
|
Jin-Ho Cho and Soonkeon Nam
|
Living Near de Sitter Bubble Walls
|
51 pages, 8 figures, additional sections on the ghosts and on the
wave function of the Univese, and additonal references
| null | null | null |
hep-th gr-qc
| null |
We study various bubble solutions in string/M theories obtained by double
Wick rotations of (non-)extremal brane configurations. Typically, the geometry
interpolates de Sitter space-time times non-compact extra-dimensional space in
the near-bubble wall region and the asymptotic flat Minkowski space-time. These
bubble solutions provide nice background geometries reconciling string/M
theories with de Sitter space-time. For the application of these solutions to
cosmology, we consider multi-bubble solutions and find landscapes of varying
cosmological constant. Double Wick rotation in string/M theories, used in this
paper, introduces imaginary higher-form fields. Rather than regard these fields
as classical pathologies, we interpret them as semi-classical decay processes
of de Sitter vacuum via the production of spherical branes. We speculate on the
possibility of solving the cosmological constant problem making use of the
condensation of the spherical membranes.
|
[
{
"created": "Fri, 14 Jul 2006 19:37:29 GMT",
"version": "v1"
},
{
"created": "Sat, 15 Jul 2006 07:57:00 GMT",
"version": "v2"
},
{
"created": "Thu, 9 Nov 2006 02:09:51 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Cho",
"Jin-Ho",
""
],
[
"Nam",
"Soonkeon",
""
]
] |
We study various bubble solutions in string/M theories obtained by double Wick rotations of (non-)extremal brane configurations. Typically, the geometry interpolates de Sitter space-time times non-compact extra-dimensional space in the near-bubble wall region and the asymptotic flat Minkowski space-time. These bubble solutions provide nice background geometries reconciling string/M theories with de Sitter space-time. For the application of these solutions to cosmology, we consider multi-bubble solutions and find landscapes of varying cosmological constant. Double Wick rotation in string/M theories, used in this paper, introduces imaginary higher-form fields. Rather than regard these fields as classical pathologies, we interpret them as semi-classical decay processes of de Sitter vacuum via the production of spherical branes. We speculate on the possibility of solving the cosmological constant problem making use of the condensation of the spherical membranes.
| 13.616352
| 13.087775
| 15.083632
| 13.526238
| 14.16261
| 13.396786
| 13.379364
| 12.86548
| 13.182021
| 16.287355
| 12.306803
| 12.583466
| 13.631196
| 13.280833
| 13.965427
| 12.785036
| 13.007893
| 12.606053
| 12.767254
| 14.248929
| 12.395696
|
1506.05526
|
Nobuyoshi Ohta
|
Nobuyoshi Ohta and Roberto Percacci
|
Ultraviolet Fixed Points in Conformal Gravity and General Quadratic
Theories
|
19 pages. v2: minor corrections, published version. arXiv admin note:
text overlap with arXiv:1308.3398
| null |
10.1088/0264-9381/33/3/035001
|
KU-TP 063
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the beta functions for four-dimensional conformal gravity using two
different parametrizations of metric fluctuation, linear split and exponential
parametrization. We find that after imposing the traceless conditions, the beta
functions are the same in four dimensions though the dependence on the
dimensions are quite different. This indicates the universality of these
results. We also examine the beta functions in general quadratic theory with
the Einstein and cosmological terms for exponential parametrization, and find
that it leads to results for beta functions of dimensionful couplings different
from linear split, though the fact that there exists nontrivial fixed point
remains the same and the fixed points also remain the same.
|
[
{
"created": "Thu, 18 Jun 2015 01:23:28 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Dec 2015 08:39:54 GMT",
"version": "v2"
}
] |
2016-01-13
|
[
[
"Ohta",
"Nobuyoshi",
""
],
[
"Percacci",
"Roberto",
""
]
] |
We study the beta functions for four-dimensional conformal gravity using two different parametrizations of metric fluctuation, linear split and exponential parametrization. We find that after imposing the traceless conditions, the beta functions are the same in four dimensions though the dependence on the dimensions are quite different. This indicates the universality of these results. We also examine the beta functions in general quadratic theory with the Einstein and cosmological terms for exponential parametrization, and find that it leads to results for beta functions of dimensionful couplings different from linear split, though the fact that there exists nontrivial fixed point remains the same and the fixed points also remain the same.
| 11.794792
| 11.664546
| 12.186884
| 11.088747
| 11.309768
| 10.952991
| 11.950601
| 11.713226
| 10.540603
| 11.987527
| 10.52006
| 11.167449
| 11.305563
| 10.929593
| 11.777609
| 11.352879
| 11.364694
| 10.990147
| 11.111042
| 10.858457
| 11.130294
|
hep-th/0402067
|
Andrei Mikhailov
|
Andrei Mikhailov
|
Slow evolution of nearly-degenerate extremal surfaces
|
v4: added a reference to the earlier work
|
J.Geom.Phys. 54 (2005) 228-250
|
10.1016/j.geomphys.2004.09.007
|
CALT-68-2477, MPG-10/04
|
hep-th
| null |
It was conjectured recently that the string worldsheet theory for the fast
moving string in AdS times a sphere becomes effectively first order in the time
derivative and describes the continuous limit of an integrable spin chain. In
this paper we will try to make this statement more precise. We interpret the
first order theory as describing the long term evolution of the tensionless
string perturbed by a small tension. The long term evolution is a Hamiltonian
flow on the moduli space of periodic trajectories. It should correspond to the
renormgroup flow on the field theory side.
|
[
{
"created": "Mon, 9 Feb 2004 17:48:01 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Apr 2004 22:13:35 GMT",
"version": "v2"
},
{
"created": "Tue, 21 Sep 2004 00:05:23 GMT",
"version": "v3"
},
{
"created": "Tue, 19 Apr 2005 22:55:35 GMT",
"version": "v4"
}
] |
2009-11-10
|
[
[
"Mikhailov",
"Andrei",
""
]
] |
It was conjectured recently that the string worldsheet theory for the fast moving string in AdS times a sphere becomes effectively first order in the time derivative and describes the continuous limit of an integrable spin chain. In this paper we will try to make this statement more precise. We interpret the first order theory as describing the long term evolution of the tensionless string perturbed by a small tension. The long term evolution is a Hamiltonian flow on the moduli space of periodic trajectories. It should correspond to the renormgroup flow on the field theory side.
| 11.295441
| 10.258569
| 12.066354
| 9.357159
| 10.522292
| 8.956869
| 9.552558
| 9.519959
| 9.25651
| 13.367898
| 10.125102
| 9.613742
| 10.099599
| 9.689363
| 10.198516
| 10.183632
| 9.798941
| 9.651532
| 9.632781
| 10.428555
| 10.014882
|
hep-th/9305063
| null |
Davide Franco and Cesare Reina (SISSA - Strada Costiera 11 -TRIESTE
(Italy))
|
\bf A Borel-Weil-Bott approach to representations of $\slq$
|
(5 pages - Plane TEX - SISSA-58/93/FM
| null |
10.1007/BF00761109
| null |
hep-th
| null |
We use a quite concrete and simple realization of $\slq$ involving finite
difference operators. We interpret them as derivations (in the non-commutative
sense) on a suitable graded algebra, which gives rise to the double of the
projective line as the non commutative version of the standard homogeneous
space.
|
[
{
"created": "Fri, 14 May 1993 11:00:24 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Franco",
"Davide",
"",
"SISSA - Strada Costiera 11 -TRIESTE"
],
[
"Reina",
"Cesare",
"",
"SISSA - Strada Costiera 11 -TRIESTE"
]
] |
We use a quite concrete and simple realization of $\slq$ involving finite difference operators. We interpret them as derivations (in the non-commutative sense) on a suitable graded algebra, which gives rise to the double of the projective line as the non commutative version of the standard homogeneous space.
| 24.26231
| 25.577915
| 27.342007
| 21.469509
| 26.652975
| 24.197216
| 23.84786
| 20.807512
| 23.472275
| 26.554813
| 22.111391
| 21.786671
| 26.042084
| 23.153488
| 21.929947
| 22.815742
| 22.907682
| 22.0201
| 24.725409
| 28.234205
| 21.617729
|
hep-th/0503053
|
Iosif Bena
|
Iosif Bena and Per Kraus
|
Microstates of the D1-D5-KK System
|
31 pages, harvmac. v2: minor changes + added refs
|
Phys.Rev. D72 (2005) 025007
|
10.1103/PhysRevD.72.025007
|
UCLA-05-TEP-07
|
hep-th
| null |
We find supergravity solutions corresponding to all U(1) x U(1) invariant
chiral primaries of the D1-D5-KK system. These solutions are 1/8 BPS, carry
angular momentum, and are asymptotically flat in the 3+1 dimensional sense.
They can be thought of as representing the ground states of the four
dimensional black hole constructed from the D1-D5-KK-P system. Demanding the
absence of unphysical singularities in our solutions determines all free
parameters, and gives precise agreement with the quantum numbers expected from
the CFT point of view. The physical mechanism behind the smoothness of the
solutions is that the D1-branes and D5-branes expand into a KK-monopole
supertube in the transverse space of the original KK-monopole.
|
[
{
"created": "Mon, 7 Mar 2005 07:06:59 GMT",
"version": "v1"
},
{
"created": "Sun, 20 Mar 2005 21:53:54 GMT",
"version": "v2"
},
{
"created": "Fri, 8 Jul 2005 18:21:11 GMT",
"version": "v3"
}
] |
2009-11-11
|
[
[
"Bena",
"Iosif",
""
],
[
"Kraus",
"Per",
""
]
] |
We find supergravity solutions corresponding to all U(1) x U(1) invariant chiral primaries of the D1-D5-KK system. These solutions are 1/8 BPS, carry angular momentum, and are asymptotically flat in the 3+1 dimensional sense. They can be thought of as representing the ground states of the four dimensional black hole constructed from the D1-D5-KK-P system. Demanding the absence of unphysical singularities in our solutions determines all free parameters, and gives precise agreement with the quantum numbers expected from the CFT point of view. The physical mechanism behind the smoothness of the solutions is that the D1-branes and D5-branes expand into a KK-monopole supertube in the transverse space of the original KK-monopole.
| 7.337166
| 6.505303
| 7.954501
| 7.019378
| 7.304284
| 6.87178
| 6.278711
| 6.516742
| 6.908535
| 9.583046
| 6.818696
| 6.811446
| 7.943099
| 6.792545
| 6.719005
| 7.025656
| 6.88184
| 6.553214
| 6.949438
| 7.418948
| 6.905354
|
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