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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1502.07707 | Tomasz Lukowski | Luis F. Alday, Agnese Bissi and Tomasz Lukowski | Large spin systematics in CFT | 20 pages; v2: version published in JHEP | null | 10.1007/JHEP11(2015)101 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using conformal field theory (CFT) arguments we derive an infinite number of
constraints on the large spin expansion of the anomalous dimensions and
structure constants of higher spin operators. These arguments rely only on
analiticity, unitarity, crossing-symmetry and the structure of the conformal
partial wave expa... | [
{
"created": "Thu, 26 Feb 2015 20:05:41 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Jan 2016 15:01:04 GMT",
"version": "v2"
}
] | 2016-01-27 | [
[
"Alday",
"Luis F.",
""
],
[
"Bissi",
"Agnese",
""
],
[
"Lukowski",
"Tomasz",
""
]
] | Using conformal field theory (CFT) arguments we derive an infinite number of constraints on the large spin expansion of the anomalous dimensions and structure constants of higher spin operators. These arguments rely only on analiticity, unitarity, crossing-symmetry and the structure of the conformal partial wave expans... |
hep-th/0611241 | Michael Koehn | Michael Flohr, Carsten Grabow and Michael Koehn | Fermionic Expressions for the Characters of c(p,1) Logarithmic Conformal
Field Theories | 19 pages, LaTeX; v2: typos corrected. This is the version accepted
for publication in Nucl. Phys. B | Nucl.Phys.B768:263-276,2007 | 10.1016/j.nuclphysb.2007.01.025 | ITP-UH-25/06 | hep-th math-ph math.MP | null | We present fermionic quasi-particle sum representations consisting of a
single fundamental fermionic form for all characters of the logarithmic
conformal field theory models with central charge c(p,1), p>=2, and suggest a
physical interpretation. We also show that it is possible to correctly extract
dilogarithm ident... | [
{
"created": "Wed, 22 Nov 2006 17:10:37 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Feb 2007 15:31:43 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Flohr",
"Michael",
""
],
[
"Grabow",
"Carsten",
""
],
[
"Koehn",
"Michael",
""
]
] | We present fermionic quasi-particle sum representations consisting of a single fundamental fermionic form for all characters of the logarithmic conformal field theory models with central charge c(p,1), p>=2, and suggest a physical interpretation. We also show that it is possible to correctly extract dilogarithm identit... |
hep-th/9809128 | J. Bijtebier | J. Bijtebier | 3D reduction of the three-fermion Bethe-Salpeter equation | Contribution to the XVIth European Conference on Few-body Problems in
Physics AUTRANS (France) June 1-6 1998. 4pp in LaTex | Few Body Syst.Suppl.10:127-130,1999 | null | VUB/TENA/98/02 | hep-th nucl-th | null | We present a 3D approximation of the three-fermion Bethe-Salpeter equation.
Our 3D equation is covariantly cluster separable and the two-fermion cluster
separated limits are exact equivalents of the corresponding two-fermion
Bethe-Salpeter equations. The potentials include positive free energy
projectors in order to ... | [
{
"created": "Thu, 17 Sep 1998 08:00:16 GMT",
"version": "v1"
}
] | 2011-04-15 | [
[
"Bijtebier",
"J.",
""
]
] | We present a 3D approximation of the three-fermion Bethe-Salpeter equation. Our 3D equation is covariantly cluster separable and the two-fermion cluster separated limits are exact equivalents of the corresponding two-fermion Bethe-Salpeter equations. The potentials include positive free energy projectors in order to av... |
hep-th/0602280 | Sven F. Kerstan | Eric A. Bergshoeff, Mees de Roo, Sven F. Kerstan, Tomas Ortin, Fabio
Riccioni | IIA Ten-forms and the Gauge Algebras of Maximal Supergravity Theories | 18 pages, section on IIA 9-branes added, references added; version to
be published | JHEP0607:018,2006 | 10.1088/1126-6708/2006/07/018 | null | hep-th | null | We show that IIA supergravity can be extended with two independent 10-form
potentials. These give rise to a single BPS IIA 9-brane. We investigate the
bosonic gauge algebra of both IIA and IIB supergravity in the presence of
10-form potentials and point out an intriguing relation with the symmetry
algebra $E_{11}$, w... | [
{
"created": "Mon, 27 Feb 2006 14:36:45 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Jul 2006 11:25:42 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Bergshoeff",
"Eric A.",
""
],
[
"de Roo",
"Mees",
""
],
[
"Kerstan",
"Sven F.",
""
],
[
"Ortin",
"Tomas",
""
],
[
"Riccioni",
"Fabio",
""
]
] | We show that IIA supergravity can be extended with two independent 10-form potentials. These give rise to a single BPS IIA 9-brane. We investigate the bosonic gauge algebra of both IIA and IIB supergravity in the presence of 10-form potentials and point out an intriguing relation with the symmetry algebra $E_{11}$, whi... |
1609.01413 | Kenji Nishiwaki | Yukihiro Fujimoto, Kouhei Hasegawa, Kenji Nishiwaki, Makoto Sakamoto
and Kentaro Tatsumi | 6d Dirac fermion on a rectangle; scrutinizing boundary conditions, mode
functions and spectrum | 26 pages, 2 tables (v1); 39 pages, 3 tables, accepted to Nuclear
Physics B (v2) | Nucl. Phys. B922 (2017) 186-225 | 10.1016/j.nuclphysb.2017.06.024 | KIAS-P16066, KOBE-TH-16-05 | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | We classify possible boundary conditions of a 6d Dirac fermion $\Psi$ on a
rectangle under the requirement that the 4d Lorentz structure is maintained,
and derive the profiles and spectrum of the zero modes and nonzero KK modes
under the two specific boundary conditions, (i) 4d-chirality positive
components being zer... | [
{
"created": "Tue, 6 Sep 2016 07:29:09 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Jul 2017 07:10:28 GMT",
"version": "v2"
}
] | 2017-07-21 | [
[
"Fujimoto",
"Yukihiro",
""
],
[
"Hasegawa",
"Kouhei",
""
],
[
"Nishiwaki",
"Kenji",
""
],
[
"Sakamoto",
"Makoto",
""
],
[
"Tatsumi",
"Kentaro",
""
]
] | We classify possible boundary conditions of a 6d Dirac fermion $\Psi$ on a rectangle under the requirement that the 4d Lorentz structure is maintained, and derive the profiles and spectrum of the zero modes and nonzero KK modes under the two specific boundary conditions, (i) 4d-chirality positive components being zero ... |
1109.2530 | Herbert Hamber | Herbert W. Hamber and Ruth M. Williams | Discrete Wheeler-DeWitt Equation | 45 pages, 8 figures | null | 10.1103/PhysRevD.84.104033 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a discrete form of the Wheeler-DeWitt equation for quantum
gravitation, based on the lattice formulation due to Regge. In this setup the
infinite-dimensional manifold of 3-geometries is replaced by a space of
three-dimensional piecewise linear spaces, with the solutions to the lattice
equations providing a... | [
{
"created": "Mon, 12 Sep 2011 16:50:00 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Sep 2011 10:24:54 GMT",
"version": "v2"
},
{
"created": "Fri, 4 Nov 2011 00:45:08 GMT",
"version": "v3"
}
] | 2013-01-07 | [
[
"Hamber",
"Herbert W.",
""
],
[
"Williams",
"Ruth M.",
""
]
] | We present a discrete form of the Wheeler-DeWitt equation for quantum gravitation, based on the lattice formulation due to Regge. In this setup the infinite-dimensional manifold of 3-geometries is replaced by a space of three-dimensional piecewise linear spaces, with the solutions to the lattice equations providing a s... |
hep-th/9604045 | Achim Kempf | Achim Kempf (DAMTP, Cambridge, U.K.) | Nonpointlike Particles in Harmonic Oscillators | LaTeX, 9 pages, 1 figure included via epsf option | J.Phys.A30:2093-2102,1997 | 10.1088/0305-4470/30/6/030 | DAMTP/96-39 | hep-th cond-mat nucl-th | null | Quantum mechanics ordinarily describes particles as being pointlike, in the
sense that the uncertainty $\Delta x$ can, in principle, be made arbitrarily
small. It has been shown that suitable correction terms to the canonical
commutation relations induce a finite lower bound to spatial localisation.
Here, we perturba... | [
{
"created": "Tue, 9 Apr 1996 09:41:09 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Kempf",
"Achim",
"",
"DAMTP, Cambridge, U.K."
]
] | Quantum mechanics ordinarily describes particles as being pointlike, in the sense that the uncertainty $\Delta x$ can, in principle, be made arbitrarily small. It has been shown that suitable correction terms to the canonical commutation relations induce a finite lower bound to spatial localisation. Here, we perturbati... |
hep-th/9304043 | Friedrich Wilhelm Hehl | E.W. Mielke, F. Gronwald, Y.N. Obukhov, R. Tresguerres, and F.W. Hehl | Towards complete integrability of two dimensional Poincar\'e gauge
gravity | 35 pages, report Cologne-thp-1993-H6 | Phys.Rev. D48 (1993) 3648-3662 | 10.1103/PhysRevD.48.3648 | null | hep-th gr-qc | null | It is shown that gravity on the line can be described by the two dimensional
(2D) Hilbert-Einstein Lagrangian supplemented by a kinetic term for the coframe
and a translational {\it boundary} term. The resulting model is equivalent to a
Yang-Mills theory of local {\it translations} and frozen Lorentz gauge degrees.
W... | [
{
"created": "Sat, 10 Apr 1993 23:42:24 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Mielke",
"E. W.",
""
],
[
"Gronwald",
"F.",
""
],
[
"Obukhov",
"Y. N.",
""
],
[
"Tresguerres",
"R.",
""
],
[
"Hehl",
"F. W.",
""
]
] | It is shown that gravity on the line can be described by the two dimensional (2D) Hilbert-Einstein Lagrangian supplemented by a kinetic term for the coframe and a translational {\it boundary} term. The resulting model is equivalent to a Yang-Mills theory of local {\it translations} and frozen Lorentz gauge degrees. We ... |
2301.00703 | Andrei Negu\c{t} | Andrei Negu\c{t} | Reduced quiver quantum toroidal algebras | null | null | null | null | hep-th math-ph math.MP math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give a generators-and-relations description of the reduced versions of
quiver quantum toroidal algebras, which act on the spaces of BPS states
associated to (non-compact) toric Calabi-Yau threefolds X. As an application,
we obtain a description of the K-theoretic Hall algebra of (the quiver with
potential associat... | [
{
"created": "Mon, 2 Jan 2023 14:39:27 GMT",
"version": "v1"
},
{
"created": "Sat, 7 Jan 2023 08:21:19 GMT",
"version": "v2"
},
{
"created": "Sun, 6 Aug 2023 02:00:45 GMT",
"version": "v3"
},
{
"created": "Sun, 4 Feb 2024 16:37:54 GMT",
"version": "v4"
}
] | 2024-02-06 | [
[
"Neguţ",
"Andrei",
""
]
] | We give a generators-and-relations description of the reduced versions of quiver quantum toroidal algebras, which act on the spaces of BPS states associated to (non-compact) toric Calabi-Yau threefolds X. As an application, we obtain a description of the K-theoretic Hall algebra of (the quiver with potential associated... |
2108.02178 | Andres Luna Godoy | Leonardo de la Cruz, Andres Luna and Trevor Scheopner | Yang-Mills observables: from KMOC to eikonal through EFT | 18 pages + References. arXiv admin note: text overlap with
arXiv:2102.10137 | null | 10.1007/JHEP01(2022)045 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We obtain a conservative Hamiltonian describing the interactions of two
charged bodies in Yang-Mills through $\mathcal{O}(\alpha^2)$ and to all orders
in velocity. Our calculation extends a recently-introduced framework based on
scattering amplitudes and effective field theory (EFT) to consider
color-charged objects.... | [
{
"created": "Wed, 4 Aug 2021 17:07:32 GMT",
"version": "v1"
}
] | 2022-01-26 | [
[
"de la Cruz",
"Leonardo",
""
],
[
"Luna",
"Andres",
""
],
[
"Scheopner",
"Trevor",
""
]
] | We obtain a conservative Hamiltonian describing the interactions of two charged bodies in Yang-Mills through $\mathcal{O}(\alpha^2)$ and to all orders in velocity. Our calculation extends a recently-introduced framework based on scattering amplitudes and effective field theory (EFT) to consider color-charged objects. T... |
1801.06000 | Alesandro Santos A. F. Santos | A. F. Santos and Faqir C. Khanna | Lorentz Violation, Gravitoelectromagnetic Field and Bhabha Scattering | 11 pages, 1 figure. Accepted for publication in IJMPA | null | 10.1142/S0217751X1850015X | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Lorentz symmetry is a fundamental symmetry in the Standard Model (SM) and in
General Relativity (GR). This symmetry holds true for all models at low
energies. However at energies near the Planck scale, it is conjectured that
there may be a very small violation of Lorentz symmetry. The Standard Model
Extension (SME) i... | [
{
"created": "Thu, 18 Jan 2018 13:11:39 GMT",
"version": "v1"
}
] | 2018-02-14 | [
[
"Santos",
"A. F.",
""
],
[
"Khanna",
"Faqir C.",
""
]
] | Lorentz symmetry is a fundamental symmetry in the Standard Model (SM) and in General Relativity (GR). This symmetry holds true for all models at low energies. However at energies near the Planck scale, it is conjectured that there may be a very small violation of Lorentz symmetry. The Standard Model Extension (SME) is ... |
hep-th/9701046 | Ralf D. Tscheuschner | Ralf D. Tscheuschner | Superconducting phase transitions in 2+1 dimensional quantum field
theories modeling generalized polaronic interactions. Part I: Jahn-Teller
inspired models | 16 pages, LaTeX 2.09, some typos corrected, some references added.
email ralfd@nano.afp.ruhr-uni-bochum.de | Int.J.Mod.Phys.B12:1539-1553,1998 | 10.1142/S0217979298000831 | null | hep-th | null | We review the fundamentals of Jahn-Teller interactions and their field
theoretical modelings and show that a 2+1 dimensional gauge theory where the
gauge field couples to "flavored fermions" arises in a natural way from a
two-band model describing the dynamical Jahn-Teller effect. The theory exhibits
a second order p... | [
{
"created": "Sun, 12 Jan 1997 18:52:23 GMT",
"version": "v1"
},
{
"created": "Sun, 2 Feb 1997 17:54:59 GMT",
"version": "v2"
}
] | 2011-04-15 | [
[
"Tscheuschner",
"Ralf D.",
""
]
] | We review the fundamentals of Jahn-Teller interactions and their field theoretical modelings and show that a 2+1 dimensional gauge theory where the gauge field couples to "flavored fermions" arises in a natural way from a two-band model describing the dynamical Jahn-Teller effect. The theory exhibits a second order pha... |
hep-th/9501100 | Changhyun Ahn | C. Ahn, S. Krivonos and A. Sorin | The Full Structure of Quantum $N=2$ Super-$W_3^{(2)}$ Algebra | 8 pages, latex, no figures | Mod.Phys.Lett. A10 (1995) 1299-1308 | 10.1142/S0217732395001423 | JINR-E2-95-27 | hep-th | null | We present the complete structure of the nonlinear $N=2$ super extension of
Polyakov-Bershadsky, $W_3^{(2)}$, algebra with the generic central charge, $c$,
at the {\it quantum} level. It contains extra two pairs of fermionic currents
with integer spins 1 and 2, besides the currents of $N=2$ superconformal and
$W_3^{(... | [
{
"created": "Mon, 23 Jan 1995 14:21:03 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Jan 1995 13:53:45 GMT",
"version": "v2"
},
{
"created": "Mon, 30 Jan 1995 19:21:21 GMT",
"version": "v3"
}
] | 2016-09-06 | [
[
"Ahn",
"C.",
""
],
[
"Krivonos",
"S.",
""
],
[
"Sorin",
"A.",
""
]
] | We present the complete structure of the nonlinear $N=2$ super extension of Polyakov-Bershadsky, $W_3^{(2)}$, algebra with the generic central charge, $c$, at the {\it quantum} level. It contains extra two pairs of fermionic currents with integer spins 1 and 2, besides the currents of $N=2$ superconformal and $W_3^{(2)... |
2202.09390 | Sanjaye Ramgoolam | Robert de Mello Koch, Sanjaye Ramgoolam | Higher dimensional CFTs as 2D conformally-equivariant topological field
theories | 19 pages, written version of invited talk given by SR at the XIV
International Workshop LIE THEORY AND ITS APPLICATIONS IN PHYSICS, Sofia | null | null | QMUL-PH-22-06 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Two and three-point functions of primary fields in four dimensional CFT have
a simple space-time dependences factored out from the combinatoric structure
which enumerates the fields and gives their couplings. This has led to the
formulation of two dimensional topological field theories with $so(4,2)$
equivariance whi... | [
{
"created": "Fri, 18 Feb 2022 19:21:38 GMT",
"version": "v1"
}
] | 2022-02-22 | [
[
"Koch",
"Robert de Mello",
""
],
[
"Ramgoolam",
"Sanjaye",
""
]
] | Two and three-point functions of primary fields in four dimensional CFT have a simple space-time dependences factored out from the combinatoric structure which enumerates the fields and gives their couplings. This has led to the formulation of two dimensional topological field theories with $so(4,2)$ equivariance which... |
1412.6226 | Masamichi Miyaji | Masamichi Miyaji, Shinsei Ryu, Tadashi Takayanagi, Xueda Wen | Boundary States as Holographic Duals of Trivial Spacetimes | 30 pages, 4 figures | null | null | YITP-14-103, IPMU14-0360 | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study real-space quantum entanglement included in conformally invariant
boundary states in conformal field theories (CFTs). First, we argue that
boundary states essentially have no real-space entanglement by computing the
entanglement entropy when we bipartite the system into two spatial regions.
From the viewpoin... | [
{
"created": "Fri, 19 Dec 2014 06:06:18 GMT",
"version": "v1"
}
] | 2014-12-22 | [
[
"Miyaji",
"Masamichi",
""
],
[
"Ryu",
"Shinsei",
""
],
[
"Takayanagi",
"Tadashi",
""
],
[
"Wen",
"Xueda",
""
]
] | We study real-space quantum entanglement included in conformally invariant boundary states in conformal field theories (CFTs). First, we argue that boundary states essentially have no real-space entanglement by computing the entanglement entropy when we bipartite the system into two spatial regions. From the viewpoint ... |
hep-th/9410043 | null | Roberto Soldati | The Mandelstam--Leibbrandt Prescription and the Discretized Light Front
Quantization | 5 pages, LaTeX, Talk given at the Fourth International Workshop on
Light Cone Quantization and Non--Perturbative Dynamics, Polana Zgorzelisko | null | null | null | hep-th | null | It is shown that the quantization of the unphysical degrees of freedom, which
leads to the Mandelstam--Leibbrandt prescription for the infrared spurious
singularities in the continuum light cone gauge, does indeed suggest some quite
natural recipe to treat the zero modes in the Discretized Light Front
Quantization of... | [
{
"created": "Fri, 7 Oct 1994 11:14:34 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Soldati",
"Roberto",
""
]
] | It is shown that the quantization of the unphysical degrees of freedom, which leads to the Mandelstam--Leibbrandt prescription for the infrared spurious singularities in the continuum light cone gauge, does indeed suggest some quite natural recipe to treat the zero modes in the Discretized Light Front Quantization of g... |
2107.06559 | Aninda Sinha | Prashanth Raman, Aninda Sinha | QFT, EFT and GFT | v3: 95 pages, 18 figures; improvement in presentation, version to
appear in JHEP, v4: minor typo in appendix fixed | JHEP12(2021)203 | 10.1007/JHEP12(2021)203 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore the correspondence between geometric function theory (GFT) and
quantum field theory (QFT). The crossing symmetric dispersion relation provides
the necessary tool to examine the connection between GFT, QFT, and effective
field theories (EFTs), enabling us to connect with the crossing-symmetric
EFT-hedron. S... | [
{
"created": "Wed, 14 Jul 2021 08:44:29 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Aug 2021 05:36:53 GMT",
"version": "v2"
},
{
"created": "Wed, 8 Dec 2021 12:18:16 GMT",
"version": "v3"
},
{
"created": "Thu, 6 Oct 2022 07:15:28 GMT",
"version": "v4"
}
] | 2022-10-07 | [
[
"Raman",
"Prashanth",
""
],
[
"Sinha",
"Aninda",
""
]
] | We explore the correspondence between geometric function theory (GFT) and quantum field theory (QFT). The crossing symmetric dispersion relation provides the necessary tool to examine the connection between GFT, QFT, and effective field theories (EFTs), enabling us to connect with the crossing-symmetric EFT-hedron. Sev... |
1009.6223 | Marco Stefano Bianchi | Marco S. Bianchi, Silvia Penati | The Conformal Manifold of Chern-Simons Matter Theories | 1+17 pages, 1 figure, references added | JHEP 1101:047,2011 | 10.1007/JHEP01(2011)047 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We determine perturbatively the conformal manifold of N=2 Chern-Simons matter
theories with the aim of checking in the three dimensional case the general
prescription based on global symmetry breaking, recently introduced. We discuss
in details few remarkable cases like the N=6 ABJM theory and its less
supersymmetric... | [
{
"created": "Thu, 30 Sep 2010 19:26:14 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Oct 2010 15:05:39 GMT",
"version": "v2"
}
] | 2011-01-17 | [
[
"Bianchi",
"Marco S.",
""
],
[
"Penati",
"Silvia",
""
]
] | We determine perturbatively the conformal manifold of N=2 Chern-Simons matter theories with the aim of checking in the three dimensional case the general prescription based on global symmetry breaking, recently introduced. We discuss in details few remarkable cases like the N=6 ABJM theory and its less supersymmetric g... |
1205.0069 | Eunkyung Koh | Dongmin Gang, Eunkyung Koh and Kimyeong Lee | Superconformal Index with Duality Domain Wall | v1: 25 pages, 4 figures. v2: comments and a reference added, minor
corrections. v3: 30 pages, new results and discussions added to sec 4.5 and
sec 5.1, eq 49 and eq 51 corrected, text improved; to appear in JHEP | JHEP10 (2012) 187 | 10.1007/JHEP10(2012)187 | KIAS-P12023 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a superconformal index for ${\cal N}=4$ super Yang-Mills on $S^1
\times S^3$ with a half BPS duality domain wall inserted at the great
two-sphere in $S^3$. The index is obtained by coupling the 3d generalized
superconformal index on the duality domain wall with 4d half-indices. We
further consider insertions... | [
{
"created": "Tue, 1 May 2012 01:44:50 GMT",
"version": "v1"
},
{
"created": "Sat, 30 Jun 2012 13:03:00 GMT",
"version": "v2"
},
{
"created": "Fri, 5 Oct 2012 09:52:30 GMT",
"version": "v3"
}
] | 2012-11-06 | [
[
"Gang",
"Dongmin",
""
],
[
"Koh",
"Eunkyung",
""
],
[
"Lee",
"Kimyeong",
""
]
] | We study a superconformal index for ${\cal N}=4$ super Yang-Mills on $S^1 \times S^3$ with a half BPS duality domain wall inserted at the great two-sphere in $S^3$. The index is obtained by coupling the 3d generalized superconformal index on the duality domain wall with 4d half-indices. We further consider insertions o... |
1802.08267 | Oliver DeWolfe | Oliver DeWolfe | TASI Lectures on Applications of Gauge/Gravity Duality | 50 pages, 7 figures | null | null | COLO-HEP-596 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce the gauge/gravity, or AdS/CFT, correspondence with an eye
towards its application to strongly coupled systems. We provide an overview of
the duality, including the AdS/CFT dictionary and holographic renormalization.
We then discuss simple correlation functions in the context of renormalization
group flow... | [
{
"created": "Thu, 22 Feb 2018 19:00:23 GMT",
"version": "v1"
}
] | 2018-02-26 | [
[
"DeWolfe",
"Oliver",
""
]
] | We introduce the gauge/gravity, or AdS/CFT, correspondence with an eye towards its application to strongly coupled systems. We provide an overview of the duality, including the AdS/CFT dictionary and holographic renormalization. We then discuss simple correlation functions in the context of renormalization group flow g... |
hep-th/9808076 | Won Tae Kim | Won Tae Kim and Myung Seok Yoon | Manifestly covariant action for symmetric Chern-Simons field theory | 19 pages, revtex, one paragraph is replaced with other issue and
physical application is exhibited | null | null | SOGANG-HEP 245/98, SNUTP 98-089 | hep-th | null | We study a three-dimensional symmetric Chern-Simons field theory with a
general covariance and it turns out that the original Chern-Simons theory is
just a gauge fixed action of the symmetric Chern-Simons theory whose constraint
algebra belongs to fully first class constraint system. The Abelian
Chern-Simons theory w... | [
{
"created": "Thu, 13 Aug 1998 05:39:31 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Oct 1998 02:48:31 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Kim",
"Won Tae",
""
],
[
"Yoon",
"Myung Seok",
""
]
] | We study a three-dimensional symmetric Chern-Simons field theory with a general covariance and it turns out that the original Chern-Simons theory is just a gauge fixed action of the symmetric Chern-Simons theory whose constraint algebra belongs to fully first class constraint system. The Abelian Chern-Simons theory wit... |
2112.12756 | Pavel Mnev | Olga Chekeres, Andrey Losev, Pavel Mnev, Donald R. Youmans | Two field-theoretic viewpoints on the Fukaya-Morse $A_\infty$ category | ver. 2: expository changes | null | 10.1007/s11005-022-01622-2 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study an enhanced version of the Morse degeneration of Fukaya $A_\infty$
category with higher compositions given by counts of gradient flow trees. The
enhancement consists in allowing morphisms from an object to itself to be
chains on the manifold. Higher compositions correspond to counting Morse trees
passing thr... | [
{
"created": "Thu, 23 Dec 2021 18:21:58 GMT",
"version": "v1"
},
{
"created": "Sun, 10 Jul 2022 20:23:14 GMT",
"version": "v2"
}
] | 2023-01-04 | [
[
"Chekeres",
"Olga",
""
],
[
"Losev",
"Andrey",
""
],
[
"Mnev",
"Pavel",
""
],
[
"Youmans",
"Donald R.",
""
]
] | We study an enhanced version of the Morse degeneration of Fukaya $A_\infty$ category with higher compositions given by counts of gradient flow trees. The enhancement consists in allowing morphisms from an object to itself to be chains on the manifold. Higher compositions correspond to counting Morse trees passing throu... |
hep-th/9412160 | null | Carlos Castro | D=11 Supermembrane Instantons, W(infty) Strings and the Super Toda
Molecule | 16 pages; Latex file | Chaos Solitons Fractals 7 (1996) 711-724 | null | IAEC-6-94-R | hep-th | null | Exact instanton solutions to $D=11$ spherical supermembranes moving in flat
target spacetime backgrounds are construted. Our starting point is Super
Yang-Mills theories, based on the infinite dimensional $SU(\infty)$ group,
dimensionally reduced to one time dimension. In this fashion the super-Toda
molecule equation ... | [
{
"created": "Mon, 19 Dec 1994 06:05:02 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Castro",
"Carlos",
""
]
] | Exact instanton solutions to $D=11$ spherical supermembranes moving in flat target spacetime backgrounds are construted. Our starting point is Super Yang-Mills theories, based on the infinite dimensional $SU(\infty)$ group, dimensionally reduced to one time dimension. In this fashion the super-Toda molecule equation is... |
1708.00458 | Tatiana Vulfs | T.O. Vulfs and E.I. Guendelman | Galileon string measure and other modified measure extended objects | 8 pages | null | 10.1142/S021773231750211X | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that it is possible to formulate string theory as a "Galileon string
theory". The galileon field $\chi$ enters in the definition of the integration
measure in the action. Following the methods of the modified measure string
theory, we find that the final equations are again those of Polyakov. Moreover,
the st... | [
{
"created": "Tue, 1 Aug 2017 18:06:26 GMT",
"version": "v1"
}
] | 2017-11-30 | [
[
"Vulfs",
"T. O.",
""
],
[
"Guendelman",
"E. I.",
""
]
] | We show that it is possible to formulate string theory as a "Galileon string theory". The galileon field $\chi$ enters in the definition of the integration measure in the action. Following the methods of the modified measure string theory, we find that the final equations are again those of Polyakov. Moreover, the stri... |
2203.02238 | Timothy Adamo | Tim Adamo, Lionel Mason, Atul Sharma | Graviton scattering in self-dual radiative space-times | 47+16 pages, 2 figures. v2: Minor improvements, figures added | Class.Quant.Grav. 40: 095002, 2023 | 10.1088/1361-6382/acc233 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The construction of amplitudes on curved space-times is a major challenge,
particularly when the background has non-constant curvature. We give formulae
for all tree-level graviton scattering amplitudes in curved self-dual radiative
space-times; these are chiral, source-free, asymptotically flat spaces
determined by ... | [
{
"created": "Fri, 4 Mar 2022 10:54:42 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Nov 2022 20:31:53 GMT",
"version": "v2"
}
] | 2023-05-11 | [
[
"Adamo",
"Tim",
""
],
[
"Mason",
"Lionel",
""
],
[
"Sharma",
"Atul",
""
]
] | The construction of amplitudes on curved space-times is a major challenge, particularly when the background has non-constant curvature. We give formulae for all tree-level graviton scattering amplitudes in curved self-dual radiative space-times; these are chiral, source-free, asymptotically flat spaces determined by fr... |
1012.1815 | Paulo Guilherme Castro | P. G. Castro | Hopf Algebras in Deformed Quantum Theories | Ph.D. Thesis, 76 pp | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we apply the Drinfel'd twist of Hopf algebras to the study of
deformed quantum theories. We prove that, by carefully considering the role of
the central extension, it is indeed possible to construct the universal
enveloping algebra of the Heisenberg algebra and deform it by means of a
Drinfel'd twist, wh... | [
{
"created": "Wed, 8 Dec 2010 17:44:15 GMT",
"version": "v1"
}
] | 2010-12-10 | [
[
"Castro",
"P. G.",
""
]
] | In this work we apply the Drinfel'd twist of Hopf algebras to the study of deformed quantum theories. We prove that, by carefully considering the role of the central extension, it is indeed possible to construct the universal enveloping algebra of the Heisenberg algebra and deform it by means of a Drinfel'd twist, whic... |
1212.3062 | Qiyuan Pan | Zixu Zhao, Qiyuan Pan and Jiliang Jing | Holographic insulator/superconductor phase transition with Weyl
corrections | 17 pages, 3 figures and 2 tables. More discussions and references
added | Phys. Lett. B 719 (2013) 440 | 10.1016/j.physletb.2013.01.030 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analytically investigate the phase transition between the holographic
insulator and superconductor with Weyl corrections by using the variational
method for the Sturm-Liouville eigenvalue problem. We find that similar to the
curvature corrections, in p-wave model, the higher Weyl couplings make the
insulator/super... | [
{
"created": "Thu, 13 Dec 2012 06:20:30 GMT",
"version": "v1"
},
{
"created": "Sat, 16 Mar 2013 14:37:32 GMT",
"version": "v2"
}
] | 2013-03-19 | [
[
"Zhao",
"Zixu",
""
],
[
"Pan",
"Qiyuan",
""
],
[
"Jing",
"Jiliang",
""
]
] | We analytically investigate the phase transition between the holographic insulator and superconductor with Weyl corrections by using the variational method for the Sturm-Liouville eigenvalue problem. We find that similar to the curvature corrections, in p-wave model, the higher Weyl couplings make the insulator/superco... |
1206.4725 | Andrey Zayakin | A. Gorsky, A. V. Zayakin | Anomalous Zero Sound | 14 pages, 2 figures | null | 10.1007/JHEP02(2013)124 | ITEP-TH-19/12 | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the anomalous term in the current, recently suggested by Son and
Yamamoto, modifies the structure of the zero sound mode in the Fermi liquid in
a magnetic field.
| [
{
"created": "Wed, 20 Jun 2012 21:33:46 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Aug 2012 19:36:47 GMT",
"version": "v2"
},
{
"created": "Wed, 9 Jan 2013 18:49:30 GMT",
"version": "v3"
}
] | 2015-06-05 | [
[
"Gorsky",
"A.",
""
],
[
"Zayakin",
"A. V.",
""
]
] | We show that the anomalous term in the current, recently suggested by Son and Yamamoto, modifies the structure of the zero sound mode in the Fermi liquid in a magnetic field. |
1701.00572 | Peter M. Lavrov | Igor A. Batalin, Peter M. Lavrov | Generalized sigma model with dynamical antisymplectic potential and
non-Abelian de Rham's differential | 9 pages, v2: formula (2.5) corrected, v3: formula (4.13) added,
published version | Phys. Lett. B 767 (2017) 99-102 | 10.1016/j.physletb.2017.01.065 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For topological sigma models, we propose that their local Lagragian density
is allowed to depend non-linearly on the de Rham's "velocities" $D Z^{A}$.
Then, by differentiating the Lagrangian density with respect to the latter de
Rham's "velocities", we define a "dynamical" anti-symplectic potential, in
terms of which... | [
{
"created": "Tue, 3 Jan 2017 03:08:12 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Jan 2017 03:01:22 GMT",
"version": "v2"
},
{
"created": "Sat, 28 Jan 2017 03:55:43 GMT",
"version": "v3"
},
{
"created": "Tue, 7 Feb 2017 04:37:52 GMT",
"version": "v4"
}
] | 2017-02-08 | [
[
"Batalin",
"Igor A.",
""
],
[
"Lavrov",
"Peter M.",
""
]
] | For topological sigma models, we propose that their local Lagragian density is allowed to depend non-linearly on the de Rham's "velocities" $D Z^{A}$. Then, by differentiating the Lagrangian density with respect to the latter de Rham's "velocities", we define a "dynamical" anti-symplectic potential, in terms of which a... |
1702.04247 | Fiorenzo Bastianelli | Fiorenzo Bastianelli, Olindo Corradini, Edoardo Vassura | Quantum mechanical path integrals in curved spaces and the type-A trace
anomaly | 21 pages, added proof of a conjecture in appendix A | null | 10.1007/JHEP04(2017)050 | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Path integrals for particles in curved spaces can be used to compute trace
anomalies in quantum field theories, and more generally to study properties of
quantum fields coupled to gravity in first quantization. While their
construction in arbitrary coordinates is well understood, and known to require
the use of a reg... | [
{
"created": "Tue, 14 Feb 2017 14:57:50 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Mar 2017 12:20:53 GMT",
"version": "v2"
}
] | 2017-04-26 | [
[
"Bastianelli",
"Fiorenzo",
""
],
[
"Corradini",
"Olindo",
""
],
[
"Vassura",
"Edoardo",
""
]
] | Path integrals for particles in curved spaces can be used to compute trace anomalies in quantum field theories, and more generally to study properties of quantum fields coupled to gravity in first quantization. While their construction in arbitrary coordinates is well understood, and known to require the use of a regul... |
2404.09225 | Claudio Coriano | Claudio Corian\`o, Stefano Lionetti, Matteo Maria Maglio, Riccardo
Tommasi | Nonlocal Gravity, Dark Energy and Conformal Symmetry: Testing the
Hierarchies of Anomaly-Induced Actions | 22 pages, 2 figures. Proceedings of Corfu Summer Institute, Workshop
on the Standard Model and Beyond, August 27- September 7, 2023. arXiv admin
note: text overlap with arXiv:2212.12779 | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Conformal back-reaction generates cosmological models where the trace anomaly
reflects the breaking of Weyl invariance. Analyzing these actions yields a
dynamic approach to dark energy through anomaly-induced actions (AIAs), that
are variational solutions of the trace anomaly functional constraint. Expanded
around Mi... | [
{
"created": "Sun, 14 Apr 2024 12:06:36 GMT",
"version": "v1"
},
{
"created": "Sun, 28 Apr 2024 22:16:17 GMT",
"version": "v2"
},
{
"created": "Tue, 30 Apr 2024 18:44:53 GMT",
"version": "v3"
}
] | 2024-05-02 | [
[
"Corianò",
"Claudio",
""
],
[
"Lionetti",
"Stefano",
""
],
[
"Maglio",
"Matteo Maria",
""
],
[
"Tommasi",
"Riccardo",
""
]
] | Conformal back-reaction generates cosmological models where the trace anomaly reflects the breaking of Weyl invariance. Analyzing these actions yields a dynamic approach to dark energy through anomaly-induced actions (AIAs), that are variational solutions of the trace anomaly functional constraint. Expanded around Mink... |
hep-th/0006235 | Joaquin Gomis Torne | Joaquim Gomis, Kiyoshi Kamimura and Josep Llosa | Hamiltonian Formalism for Space-time Non-commutative Theories | 6 pages, A new section is added with other comments and references.
To appear in PRD | Phys.Rev.D63:045003,2001 | 10.1103/PhysRevD.63.045003 | CERN-TH/2000-186, LFM(SCF)-00-1,UB-ECM-PF-00/08,TOHO-FP-0067 | hep-th | null | Space-time non-commutative theories are non-local in time. We develop the
Hamiltonian formalism for non-local field theories in d space-time dimensions
by considering auxiliary d+1 dimensional field theories which are local with
respect to the evolution time. The Hamiltonian path integral quantization is
considered a... | [
{
"created": "Thu, 29 Jun 2000 19:33:03 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Jun 2000 22:38:21 GMT",
"version": "v2"
},
{
"created": "Mon, 16 Oct 2000 05:44:36 GMT",
"version": "v3"
},
{
"created": "Thu, 9 Nov 2000 00:21:28 GMT",
"version": "v4"
}
] | 2008-11-26 | [
[
"Gomis",
"Joaquim",
""
],
[
"Kamimura",
"Kiyoshi",
""
],
[
"Llosa",
"Josep",
""
]
] | Space-time non-commutative theories are non-local in time. We develop the Hamiltonian formalism for non-local field theories in d space-time dimensions by considering auxiliary d+1 dimensional field theories which are local with respect to the evolution time. The Hamiltonian path integral quantization is considered and... |
2006.06698 | Mario Herrero-Valea | Mario Herrero-Valea and Raquel Santos-Garcia | Non-minimal Tinges of Unimodular Gravity | 34 pages, matches journal version | JHEP 09 (2020) 041 | 10.1007/JHEP09(2020)041 | IFT-UAM/CSIC-20-85, FTUAM-20-10 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Unimodular Gravity is normally assumed to be equivalent to General Relativity
for all matters but the character of the Cosmological Constant. Here we discuss
this equivalence in the presence of a non-minimally coupled scalar field. We
show that when we consider gravitation to be dynamical in a QFT sense, quantum
corr... | [
{
"created": "Thu, 11 Jun 2020 18:00:04 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Jun 2020 13:42:47 GMT",
"version": "v2"
},
{
"created": "Mon, 23 Nov 2020 19:05:36 GMT",
"version": "v3"
}
] | 2020-11-25 | [
[
"Herrero-Valea",
"Mario",
""
],
[
"Santos-Garcia",
"Raquel",
""
]
] | Unimodular Gravity is normally assumed to be equivalent to General Relativity for all matters but the character of the Cosmological Constant. Here we discuss this equivalence in the presence of a non-minimally coupled scalar field. We show that when we consider gravitation to be dynamical in a QFT sense, quantum correc... |
hep-th/0002191 | Matteo Bertolini | M. Bertolini, M. Trigiante | Regular BPS black holes: macroscopic and microscopic description of the
generating solution | 1+16 pages, latex. Final version to appear on Nucl.Phys.B | Nucl.Phys.B582:393-406,2000 | 10.1016/S0550-3213(00)00216-9 | NORDITA-2000/03 HE,SWAT/256 | hep-th gr-qc | null | In this paper we construct the BPS black hole generating solution of
toroidally compactified string (and M) theory, giving for it both the
macroscopic and microscopic description. Choosing a proper U-duality gauge the
latter will be given by a bound state made solely of D-branes. The axionic
nature of the supergravit... | [
{
"created": "Wed, 23 Feb 2000 15:27:48 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Mar 2000 20:02:11 GMT",
"version": "v2"
},
{
"created": "Tue, 6 Jun 2000 12:45:15 GMT",
"version": "v3"
}
] | 2010-11-19 | [
[
"Bertolini",
"M.",
""
],
[
"Trigiante",
"M.",
""
]
] | In this paper we construct the BPS black hole generating solution of toroidally compactified string (and M) theory, giving for it both the macroscopic and microscopic description. Choosing a proper U-duality gauge the latter will be given by a bound state made solely of D-branes. The axionic nature of the supergravity ... |
1206.3140 | Agustin Sabio Vera | G. Chachamis, and A. Sabio Vera | The NLO N =4 SUSY BFKL Green function in the adjoint representation | 7 pages, 4 figures | null | 10.1016/j.physletb.2012.09.051 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the solution of the BFKL equation in the adjoint representation for
the N=4 SUSY theory at NLO accuracy. Consistency with the large momentum
transfer solution obtained by Fadin and Lipatov is found. We investigate, for
large and small values of the momentum transfer, the growth with energy of the
Green funct... | [
{
"created": "Thu, 14 Jun 2012 15:27:44 GMT",
"version": "v1"
}
] | 2015-06-05 | [
[
"Chachamis",
"G.",
""
],
[
"Vera",
"A. Sabio",
""
]
] | We study the solution of the BFKL equation in the adjoint representation for the N=4 SUSY theory at NLO accuracy. Consistency with the large momentum transfer solution obtained by Fadin and Lipatov is found. We investigate, for large and small values of the momentum transfer, the growth with energy of the Green functio... |
1506.07047 | Cristian Vergu | Niklas Beisert, Dennis Muller, Jan Plefka, Cristian Vergu | Smooth Wilson Loops in N=4 Non-Chiral Superspace | 44 pages. v2 Added some clarifying comments. Matches the published
version | JHEP 1512:140,2015 | 10.1007/JHEP12(2015)140 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a supersymmetric Wilson loop operator for 4d N=4 super Yang-Mills
theory which is the natural object dual to the AdS_5 x S^5 superstring in the
AdS/CFT correspondence. It generalizes the traditional bosonic 1/2 BPS
Maldacena-Wilson loop operator and completes recent constructions in the
literature to smoo... | [
{
"created": "Tue, 23 Jun 2015 15:23:20 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Nov 2015 09:04:28 GMT",
"version": "v2"
}
] | 2016-01-05 | [
[
"Beisert",
"Niklas",
""
],
[
"Muller",
"Dennis",
""
],
[
"Plefka",
"Jan",
""
],
[
"Vergu",
"Cristian",
""
]
] | We consider a supersymmetric Wilson loop operator for 4d N=4 super Yang-Mills theory which is the natural object dual to the AdS_5 x S^5 superstring in the AdS/CFT correspondence. It generalizes the traditional bosonic 1/2 BPS Maldacena-Wilson loop operator and completes recent constructions in the literature to smooth... |
hep-th/0108196 | Angel M. Uranga | Angel M. Uranga | Wrapped fluxbranes | 22 pages, latex, no figures. Added references | null | null | CERN-TH/2001-233 | hep-th | null | We consider the construction of fluxbranes in certain curved geometries,
generalizing the familiar construction of the Melvin fluxtube as a quotient of
flat space. The resulting configurations correspond to fluxbranes wrapped on
cycles in curved spaces. The non-trivial transverse geometry leads in some
instances to s... | [
{
"created": "Mon, 27 Aug 2001 15:01:58 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Sep 2001 15:57:34 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Uranga",
"Angel M.",
""
]
] | We consider the construction of fluxbranes in certain curved geometries, generalizing the familiar construction of the Melvin fluxtube as a quotient of flat space. The resulting configurations correspond to fluxbranes wrapped on cycles in curved spaces. The non-trivial transverse geometry leads in some instances to sol... |
hep-th/0503199 | Atsushi Yamaguchi | Nobuyuki Ishibashi and Atsushi Yamaguchi | On the Chemical Potential of D-instantons in c=0 Noncritical String
Theory | 15 pages | JHEP 0506 (2005) 082 | 10.1088/1126-6708/2005/06/082 | null | hep-th | null | We study the chemical potential of D-instantons in c=0 noncritical string
theory. In a recent work(hep-th/0405076), it was shown that the chemical
potential can be calculated using the one matrix model. The calculation was
done using the method of orthogonal polynomials and the authors obtained a
universal value in t... | [
{
"created": "Fri, 25 Mar 2005 12:39:51 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Ishibashi",
"Nobuyuki",
""
],
[
"Yamaguchi",
"Atsushi",
""
]
] | We study the chemical potential of D-instantons in c=0 noncritical string theory. In a recent work(hep-th/0405076), it was shown that the chemical potential can be calculated using the one matrix model. The calculation was done using the method of orthogonal polynomials and the authors obtained a universal value in the... |
hep-th/9610025 | Oliver Schnetz | Oliver Schnetz | Natural renormalization | 23 pages, LaTeX, AMSsymbols, epsf style, 3 PostScript figures | J.Math.Phys. 38 (1997) 738-758 | 10.1063/1.531900 | FAU-TP3-96/1 | hep-th | null | A careful analysis of differential renormalization shows that a distinguished
choice of renormalization constants allows for a mathematically more
fundamental interpretation of the scheme. With this set of a priori fixed
integration constants differential renormalization is most closely related to
the theory of gener... | [
{
"created": "Fri, 4 Oct 1996 14:44:21 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Schnetz",
"Oliver",
""
]
] | A careful analysis of differential renormalization shows that a distinguished choice of renormalization constants allows for a mathematically more fundamental interpretation of the scheme. With this set of a priori fixed integration constants differential renormalization is most closely related to the theory of general... |
1911.09809 | Tiago Adorno | T. C. Adorno, S. P. Gavrilov, D. M. Gitman | Vacuum instability in a constant inhomogeneous electric field. A new
example of exact nonperturbative calculations | 50 pages, 10 figures. Typos corrected throughout the text. New
results concerning the calculation of total quantities for sharp-gradient
fields were added to Sec. 3.2. Refs added | Eur.Phys.J. C80 (2020) no.2, 88 | 10.1140/epjc/s10052-020-7646-y | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Basic quantum processes (such as particle creation, reflection, and
transmission on the corresponding Klein steps) caused by inverse-square
electric fields are calculated. These results represent a new example of exact
nonperturbative calculations in the framework of QED. The inverse-square
electric field is time-ind... | [
{
"created": "Fri, 22 Nov 2019 02:00:25 GMT",
"version": "v1"
},
{
"created": "Sat, 14 Dec 2019 02:51:39 GMT",
"version": "v2"
}
] | 2020-02-12 | [
[
"Adorno",
"T. C.",
""
],
[
"Gavrilov",
"S. P.",
""
],
[
"Gitman",
"D. M.",
""
]
] | Basic quantum processes (such as particle creation, reflection, and transmission on the corresponding Klein steps) caused by inverse-square electric fields are calculated. These results represent a new example of exact nonperturbative calculations in the framework of QED. The inverse-square electric field is time-indep... |
hep-th/9312058 | William Nelson | William Nelson | Kaluza-Klein Black Holes in String Theory | 13p. uses Harvmac | Phys.Rev.D49:5302-5306,1994 | 10.1103/PhysRevD.49.5302 | null | hep-th | null | Exact solutions of heterotic string theory corresponding to four-dimensional
magnetic black holes in $N=4$ supergravity are described. The solutions
describe the black holes in the throat limit, and consist of a tensor product
of an $SU(2)$ WZW orbifold with the linear dilaton vacuum, supersymmetrized to
$(1,0)$ worl... | [
{
"created": "Wed, 8 Dec 1993 02:32:42 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Nelson",
"William",
""
]
] | Exact solutions of heterotic string theory corresponding to four-dimensional magnetic black holes in $N=4$ supergravity are described. The solutions describe the black holes in the throat limit, and consist of a tensor product of an $SU(2)$ WZW orbifold with the linear dilaton vacuum, supersymmetrized to $(1,0)$ world ... |
hep-th/0402039 | Vladimir Dobrev | V. K. Dobrev and R. B. Zhang | Positive Energy Unitary Irreducible Representations of the Superalgebras
osp(1|2n,R) | 20 pages, LATEX2e (revtex4,amsmath,amssymb), Plenary talk by VKD at X
International Conference on Symmetry Methods in Physics, Yerevan,
13-21.8.2003; added acknowledgements; corrected misprints | Phys.Atom.Nucl. 68 (2005) 1660-1669; Yad.Fiz. 68 (2005) 1724-1732 | 10.1134/1.2121914 | ESI Vienna preprint 1457 (2004) | hep-th math.QA math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give the classification of the positive energy (lowest weight) unitary
irreducible representations of the superalgebras osp(1|2n,R).
| [
{
"created": "Thu, 5 Feb 2004 13:00:02 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Apr 2004 15:05:57 GMT",
"version": "v2"
},
{
"created": "Mon, 22 Oct 2012 11:05:12 GMT",
"version": "v3"
}
] | 2012-10-23 | [
[
"Dobrev",
"V. K.",
""
],
[
"Zhang",
"R. B.",
""
]
] | We give the classification of the positive energy (lowest weight) unitary irreducible representations of the superalgebras osp(1|2n,R). |
1707.09582 | Chen-Te Ma | Chen-Te Ma | A Duality Web in Condensed Matter Systems | 32 pages | null | 10.1016/j.aop.2018.01.008 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study various dualities in condensed matter systems. The dualities in
three dimensions could be derived from a conjecture of a duality between a
Dirac fermion theory and an interacting scalar field theory at the
Wilson-Fisher fixed point and zero temperature in three dimensions. We show
that the dualities are not ... | [
{
"created": "Sun, 30 Jul 2017 05:09:33 GMT",
"version": "v1"
}
] | 2018-03-14 | [
[
"Ma",
"Chen-Te",
""
]
] | We study various dualities in condensed matter systems. The dualities in three dimensions could be derived from a conjecture of a duality between a Dirac fermion theory and an interacting scalar field theory at the Wilson-Fisher fixed point and zero temperature in three dimensions. We show that the dualities are not af... |
hep-th/0102167 | V. A. Dolgushev | V. A. Dolgushev | Sklyanin Bracket and Deformation of the Calogero-Moser System | 14 pages, no figures | Mod.Phys.Lett. A16 (2001) 1711 | 10.1142/S0217732301005047 | ITEP-TH-7/01 | hep-th math-ph math.MP nlin.SI | null | A two-dimensional integrable system being a deformation of the rational
Calogero-Moser system is constructed via the symplectic reduction, performed
with respect to the Sklyanin algebra action. We explicitly resolve the
respective classical equations of motion via the projection method and quantize
the system.
| [
{
"created": "Fri, 23 Feb 2001 19:34:30 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Sep 2001 15:42:11 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Dolgushev",
"V. A.",
""
]
] | A two-dimensional integrable system being a deformation of the rational Calogero-Moser system is constructed via the symplectic reduction, performed with respect to the Sklyanin algebra action. We explicitly resolve the respective classical equations of motion via the projection method and quantize the system. |
hep-th/9806104 | Jan de Boer | Jan de Boer | Six-Dimensional Supergravity on S^3 X AdS_3 and 2d Conformal Field
Theory | 32 pages, LaTeX; minor corrections, reference added | Nucl.Phys.B548:139-166,1999 | 10.1016/S0550-3213(99)00160-1 | LBNL-41931, UCB-PTH-98/32 | hep-th | null | In this paper we study the relation between six-dimensional supergravity
compactified on S^3 X AdS_3 and certain two-dimensional conformal field
theories. We compute the Kaluza-Klein spectrum of supergravity using
representation theory; these methods are quite general and can also be applied
to other compactification... | [
{
"created": "Fri, 12 Jun 1998 21:49:40 GMT",
"version": "v1"
},
{
"created": "Sat, 20 Jun 1998 23:34:09 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"de Boer",
"Jan",
""
]
] | In this paper we study the relation between six-dimensional supergravity compactified on S^3 X AdS_3 and certain two-dimensional conformal field theories. We compute the Kaluza-Klein spectrum of supergravity using representation theory; these methods are quite general and can also be applied to other compactifications ... |
1505.07270 | Andreas Tresmontant | Julien Serreau, Matthieu Tissier and Andr\'eas Tresmontant | Influence of Gribov ambiguities in a class of nonlinear covariant gauges | 23 pages. 24 figures. One suplemental material: Mathematica file with
the full expressions of the one-loop Feynman diagrams | Phys. Rev. D 92, 105003 (2015) | 10.1103/PhysRevD.92.105003 | null | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider Yang-Mills theories in a recently proposed family of nonlinear
covariant gauges that consistently deals with the issue of Gribov ambiguities.
Such gauges provide a generalization of the Curci-Ferrari-Delbourgo-Jarvis
gauges which can be formulated as an extremization procedure and might be
implemented in ... | [
{
"created": "Wed, 27 May 2015 11:42:52 GMT",
"version": "v1"
},
{
"created": "Thu, 28 May 2015 13:28:26 GMT",
"version": "v2"
},
{
"created": "Sat, 24 Oct 2015 11:03:44 GMT",
"version": "v3"
}
] | 2015-11-11 | [
[
"Serreau",
"Julien",
""
],
[
"Tissier",
"Matthieu",
""
],
[
"Tresmontant",
"Andréas",
""
]
] | We consider Yang-Mills theories in a recently proposed family of nonlinear covariant gauges that consistently deals with the issue of Gribov ambiguities. Such gauges provide a generalization of the Curci-Ferrari-Delbourgo-Jarvis gauges which can be formulated as an extremization procedure and might be implemented in nu... |
hep-th/9512011 | Sheng Zheng-Mao | Z-M Sheng and H-B Gao | On the sine-Gordon--Thirring equivalence in the presence of a boundary | 14 pages, Latex, to be published in Int. J. Mod. Phys. A. Two
references added | Int.J.Mod.Phys. A11 (1996) 4089-4102 | 10.1142/S0217751X96001929 | DTP-95/43 | hep-th | null | In this paper, the relationship between the sine-Gordon model with an
integrable boundary condition and the Thirring model with boundary is discussed
and the reflection $R$-matrix for the massive Thirring model, which is related
to the physical boundary parameters of the sine-Gordon model, is given. The
relationship ... | [
{
"created": "Mon, 4 Dec 1995 14:31:18 GMT",
"version": "v1"
},
{
"created": "Sat, 6 Jan 1996 16:50:41 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Sheng",
"Z-M",
""
],
[
"Gao",
"H-B",
""
]
] | In this paper, the relationship between the sine-Gordon model with an integrable boundary condition and the Thirring model with boundary is discussed and the reflection $R$-matrix for the massive Thirring model, which is related to the physical boundary parameters of the sine-Gordon model, is given. The relationship be... |
1010.4573 | Miranda C.N. Cheng | Miranda C.N. Cheng, Robbert Dijkgraaf and Cumrun Vafa | Non-Perturbative Topological Strings And Conformal Blocks | 36 pages | JHEP 1109:022,2011 | 10.1007/JHEP09(2011)022 | ITFA-2010-21 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give a non-perturbative completion of a class of closed topological string
theories in terms of building blocks of dual open strings. In the specific case
where the open string is given by a matrix model these blocks correspond to a
choice of integration contour. We then apply this definition to the AGT setup
wher... | [
{
"created": "Thu, 21 Oct 2010 20:09:37 GMT",
"version": "v1"
}
] | 2011-09-09 | [
[
"Cheng",
"Miranda C. N.",
""
],
[
"Dijkgraaf",
"Robbert",
""
],
[
"Vafa",
"Cumrun",
""
]
] | We give a non-perturbative completion of a class of closed topological string theories in terms of building blocks of dual open strings. In the specific case where the open string is given by a matrix model these blocks correspond to a choice of integration contour. We then apply this definition to the AGT setup where ... |
0809.3850 | Alex Nielsen | Alex B. Nielsen | Black holes and black hole thermodynamics without event horizons | Invited review article for General Relativity and Gravitation. 43
pages | Gen.Rel.Grav.41:1539-1584,2009 | 10.1007/s10714-008-0739-9 | SNUTP08-009 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate whether black holes can be defined without using event
horizons. In particular we focus on the thermodynamic properties of event
horizons and the alternative, locally defined horizons. We discuss the
assumptions and limitations of the proofs of the zeroth, first and second laws
of black hole mechanics ... | [
{
"created": "Tue, 23 Sep 2008 05:07:16 GMT",
"version": "v1"
}
] | 2009-07-22 | [
[
"Nielsen",
"Alex B.",
""
]
] | We investigate whether black holes can be defined without using event horizons. In particular we focus on the thermodynamic properties of event horizons and the alternative, locally defined horizons. We discuss the assumptions and limitations of the proofs of the zeroth, first and second laws of black hole mechanics fo... |
1012.0174 | Ya-Peng Hu | Ya-Peng Hu, Huai-Fan Li, Zhang-Yu Nie | The first order hydrodynamics via AdS/CFT correspondence in the
Gauss-Bonnet gravity | v4: 14 pages, no figure, some typos corrected and minor changes based
on the JHEP verison for more consistency | JHEP 1101:123,2011 | 10.1007/JHEP01(2011)123 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the spirit of the AdS/CFT correspondence, we investigate the hydrodynamics
of the dual conformal field in the Gauss-Bonnet gravity. By considering the
parameters of the boosted black brane in the Gauss-Bonnet gravity as functions
of boundary coordinates, and then solving the corresponding correction terms,
we calc... | [
{
"created": "Wed, 1 Dec 2010 12:23:09 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Dec 2010 12:02:43 GMT",
"version": "v2"
},
{
"created": "Tue, 18 Jan 2011 05:10:31 GMT",
"version": "v3"
},
{
"created": "Fri, 25 Feb 2011 07:29:51 GMT",
"version": "v4"
}
] | 2011-02-28 | [
[
"Hu",
"Ya-Peng",
""
],
[
"Li",
"Huai-Fan",
""
],
[
"Nie",
"Zhang-Yu",
""
]
] | In the spirit of the AdS/CFT correspondence, we investigate the hydrodynamics of the dual conformal field in the Gauss-Bonnet gravity. By considering the parameters of the boosted black brane in the Gauss-Bonnet gravity as functions of boundary coordinates, and then solving the corresponding correction terms, we calcul... |
1208.5182 | Michael Gutperle | Martin Ammon, Michael Gutperle, Per Kraus and Eric Perlmutter | Black holes in three dimensional higher spin gravity: A review | 49 pages, harvmac, invited contribution to J. Phys. A special volume
on "Higher Spin Theories and AdS/CFT" edited by M. R. Gaberdiel and M.
Vasiliev | null | 10.1088/1751-8113/46/21/214001 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review recent progress in the construction of black holes in three
dimensional higher spin gravity theories. Starting from spin-3 gravity and
working our way toward the theory of an infinite tower of higher spins coupled
to matter, we show how to harness higher spin gauge invariance to consistently
generalize fami... | [
{
"created": "Sun, 26 Aug 2012 00:38:50 GMT",
"version": "v1"
}
] | 2015-06-11 | [
[
"Ammon",
"Martin",
""
],
[
"Gutperle",
"Michael",
""
],
[
"Kraus",
"Per",
""
],
[
"Perlmutter",
"Eric",
""
]
] | We review recent progress in the construction of black holes in three dimensional higher spin gravity theories. Starting from spin-3 gravity and working our way toward the theory of an infinite tower of higher spins coupled to matter, we show how to harness higher spin gauge invariance to consistently generalize famili... |
hep-th/9505040 | Poul H. Damgaard, Nbi | P.H. Damgaard, F. De Jonghe and R. Sollacher | BRST Gauge Fixing and Regularization | LaTeX, 12 pages | Nucl.Phys. B454 (1995) 701-715 | 10.1016/0550-3213(95)00472-5 | UUITP-8/95, NIKHEF-H 95-017 | hep-th | null | In the presence of consistent regulators, the standard procedure of BRST
gauge fixing (or moving from one gauge to another) can require non-trivial
modifications. These modifications occur at the quantum level, and gauges exist
which are only well-defined when quantum mechanical modifications are correctly
taken into... | [
{
"created": "Mon, 8 May 1995 11:42:51 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Damgaard",
"P. H.",
""
],
[
"De Jonghe",
"F.",
""
],
[
"Sollacher",
"R.",
""
]
] | In the presence of consistent regulators, the standard procedure of BRST gauge fixing (or moving from one gauge to another) can require non-trivial modifications. These modifications occur at the quantum level, and gauges exist which are only well-defined when quantum mechanical modifications are correctly taken into a... |
2006.13892 | Madalena Lemos | Madalena Lemos | Lectures on chiral algebras of $\mathcal{N} \geqslant 2$ superconformal
field theories | 36 pages plus appendices | null | null | CERN-TH-2020-098 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Any four-dimensional $\mathcal{N} \geqslant 2$ superconformal field theory
possess a protected subsector isomorphic to a two-dimensional chiral algebra
\cite{Beem:2013sza}. The goal of these lectures is to provide an introduction
to the subject, covering the construction of the chiral algebras, the
consequences for f... | [
{
"created": "Wed, 24 Jun 2020 17:23:04 GMT",
"version": "v1"
}
] | 2020-06-25 | [
[
"Lemos",
"Madalena",
""
]
] | Any four-dimensional $\mathcal{N} \geqslant 2$ superconformal field theory possess a protected subsector isomorphic to a two-dimensional chiral algebra \cite{Beem:2013sza}. The goal of these lectures is to provide an introduction to the subject, covering the construction of the chiral algebras, the consequences for fou... |
hep-th/0305124 | Jorge Ananias Neto | Jorge Ananias Neto | Gauging by St\"uckelberg field-shifting symmetry | revised version. To appear in Phys. Lett. B | Phys.Lett. B571 (2003) 105-114 | 10.1016/j.physletb.2003.07.063 | UFJF-03-03 | hep-th | null | We embed second class constrained systems by a formalism that combines
concepts of the BFFT method and the unfixing gauge formalism. As a result, we
obtain a gauge-invariant system where the introduction of the Wess-Zumino (WZ)
field is essential. The initial phase-space variables are gauging with the
introduction of... | [
{
"created": "Wed, 14 May 2003 19:45:35 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Aug 2003 19:55:42 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Neto",
"Jorge Ananias",
""
]
] | We embed second class constrained systems by a formalism that combines concepts of the BFFT method and the unfixing gauge formalism. As a result, we obtain a gauge-invariant system where the introduction of the Wess-Zumino (WZ) field is essential. The initial phase-space variables are gauging with the introduction of t... |
hep-th/9605226 | null | R. Banerjee and P. Mukherjee | Spin of Chern-Simons vortices | 11 pages, Latex file, no figures | Nucl.Phys. B478 (1996) 235-244 | 10.1016/0550-3213(96)00389-6 | SNBNCBS/96/4/1 | hep-th | null | We discuss a novel method of obtaining the fractional spin of abelian and
nonabelian Chern-Simons vortices. This spin is interpreted as the difference
between the angular momentum obtained by modifying Schwinger's energy momentum
tensor by the Gauss constraint, and the canonical (Noether) angular momentum.
It is foun... | [
{
"created": "Fri, 31 May 1996 15:26:41 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Banerjee",
"R.",
""
],
[
"Mukherjee",
"P.",
""
]
] | We discuss a novel method of obtaining the fractional spin of abelian and nonabelian Chern-Simons vortices. This spin is interpreted as the difference between the angular momentum obtained by modifying Schwinger's energy momentum tensor by the Gauss constraint, and the canonical (Noether) angular momentum. It is found ... |
1205.0242 | Eric Perlmutter | Eric Perlmutter | Hyperscaling violation from supergravity | 18 pages, plus one appendix; v2: added refs, minor aesthetic changes,
slight modification of comments on SUSY | null | 10.1007/JHEP06(2012)165 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In recent applications of AdS/CFT to condensed matter physics, a metric that
transforms covariantly under dilatation has been argued to signal hyperscaling
violation in a dual quantum field theory. We contextualize and introduce large,
in some cases infinite, families of supergravity solutions with this property,
foc... | [
{
"created": "Tue, 1 May 2012 19:57:44 GMT",
"version": "v1"
},
{
"created": "Tue, 15 May 2012 08:08:28 GMT",
"version": "v2"
}
] | 2015-06-05 | [
[
"Perlmutter",
"Eric",
""
]
] | In recent applications of AdS/CFT to condensed matter physics, a metric that transforms covariantly under dilatation has been argued to signal hyperscaling violation in a dual quantum field theory. We contextualize and introduce large, in some cases infinite, families of supergravity solutions with this property, focus... |
hep-th/0211032 | Niklas Beisert | Niklas Beisert | BMN Operators and Superconformal Symmetry | 38 pages, v2: minor changes, to appear in Nucl. Phys. B | Nucl.Phys.B659:79-118,2003 | 10.1016/S0550-3213(03)00229-3 | AEI 2002-089 | hep-th | null | Implications of N=4 superconformal symmetry on Berenstein-Maldacena-Nastase
(BMN) operators with two charge defects are studied both at finite charge J and
in the BMN limit. We find that all of these belong to a single long
supermultiplet explaining a recently discovered degeneracy of anomalous
dimensions on the sphe... | [
{
"created": "Tue, 5 Nov 2002 17:53:45 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Mar 2003 17:36:02 GMT",
"version": "v2"
}
] | 2011-03-23 | [
[
"Beisert",
"Niklas",
""
]
] | Implications of N=4 superconformal symmetry on Berenstein-Maldacena-Nastase (BMN) operators with two charge defects are studied both at finite charge J and in the BMN limit. We find that all of these belong to a single long supermultiplet explaining a recently discovered degeneracy of anomalous dimensions on the sphere... |
0901.4223 | Henri Epstein | Jacques Bros, Henri Epstein, Michel Gaudin, Ugo Moschella, Vincent
Pasquier | Triangular invariants, three-point functions and particle stability on
the de Sitter universe | null | Commun.Math.Phys.295:261-288,2010 | 10.1007/s00220-009-0875-4 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a class of three-point functions on the de Sitter universe and on
the asymptotic cone. A blending of geometrical ideas and analytic methods is
used to compute some remarkable integrals, on the basis of a generalized
star-triangle identity living on the cone and on the complex de Sitter
manifold. We discuss a... | [
{
"created": "Tue, 27 Jan 2009 11:15:28 GMT",
"version": "v1"
}
] | 2010-02-11 | [
[
"Bros",
"Jacques",
""
],
[
"Epstein",
"Henri",
""
],
[
"Gaudin",
"Michel",
""
],
[
"Moschella",
"Ugo",
""
],
[
"Pasquier",
"Vincent",
""
]
] | We study a class of three-point functions on the de Sitter universe and on the asymptotic cone. A blending of geometrical ideas and analytic methods is used to compute some remarkable integrals, on the basis of a generalized star-triangle identity living on the cone and on the complex de Sitter manifold. We discuss an ... |
hep-th/0005190 | Ivan K. Kostov | Ivan K. Kostov | Exact Solution of the Three-color Problem on a Random Lattice | 9 pages, 2 figures | Phys.Lett. B549 (2002) 245-252 | 10.1016/S0370-2693(02)02887-3 | SPhT/t00/074 | hep-th cond-mat.stat-mech | null | We present the exact solution of the Baxter's three-color problem on a random
planar graph, using the random-matrix formulation of the problem, given by B.
Eynard and C. Kristjansen. We find that the number of three-coloring of an
infinite random graph is 0.9843 per vertex.
| [
{
"created": "Sat, 20 May 2000 16:18:17 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Jul 2000 17:50:58 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Kostov",
"Ivan K.",
""
]
] | We present the exact solution of the Baxter's three-color problem on a random planar graph, using the random-matrix formulation of the problem, given by B. Eynard and C. Kristjansen. We find that the number of three-coloring of an infinite random graph is 0.9843 per vertex. |
hep-th/9901074 | Domenec Espriu | J.Alfaro, A.Dobado and D.Espriu | Chiral lagrangians and the QCD string | 13 pages, 5 figures. Some modifications in the discussion section | Phys.Lett. B460 (1999) 447-454 | 10.1016/S0370-2693(99)00809-6 | UB-ECM-PF 98/25 | hep-th hep-ph | null | We propose a method to derive the low-energy efective action of QCD assuming
that the long-distance properties of strong interactions can be described by a
string theory. We bypass the usual problems related to the existence of the
tachyon and absence of the adequate Adler zero by using a sigma model approach
where e... | [
{
"created": "Mon, 18 Jan 1999 16:50:02 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Jun 1999 16:52:35 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Alfaro",
"J.",
""
],
[
"Dobado",
"A.",
""
],
[
"Espriu",
"D.",
""
]
] | We propose a method to derive the low-energy efective action of QCD assuming that the long-distance properties of strong interactions can be described by a string theory. We bypass the usual problems related to the existence of the tachyon and absence of the adequate Adler zero by using a sigma model approach where exc... |
hep-th/9503152 | Thomas Ackermann | T.Ackermann, J.Tolksdorf | A generalized Lichnerowicz formula, the Wodzicki Residue and Gravity | 10 pages, plain tex | null | 10.1016/0393-0440(95)00030-5 | CPT-94/P.3106, Mannheimer Manuskripte 181 | hep-th | null | We prove a generalized version of the well-known Lichnerowicz formula for the
square of the most general Dirac operator $\widetilde{D}$\ on an
even-dimensional spin manifold associated to a metric connection
$\widetilde{\nabla}$. We use this formula to compute the subleading term
$\Phi_1(x,x, \widetilde{D}^2)$\ of th... | [
{
"created": "Thu, 23 Mar 1995 06:42:34 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Ackermann",
"T.",
""
],
[
"Tolksdorf",
"J.",
""
]
] | We prove a generalized version of the well-known Lichnerowicz formula for the square of the most general Dirac operator $\widetilde{D}$\ on an even-dimensional spin manifold associated to a metric connection $\widetilde{\nabla}$. We use this formula to compute the subleading term $\Phi_1(x,x, \widetilde{D}^2)$\ of the ... |
1010.5380 | Yuya Sasai | Yuya Sasai and Ali Zahabi | Shear viscosity of a highly excited string and the black hole membrane
paradigm | 22 pages, no figure, minor corrections | Phys.Rev.D83:026002,2011 | 10.1103/PhysRevD.83.026002 | HIP-2010-27/TH | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Black hole membrane paradigm states that a certain viscous membrane seems to
be sitting on a stretched horizon of a black hole from the viewpoint of a
distant observer. We show that the shear viscosity of the fictitious membrane
can be reproduced by a highly excited string covering the stretched horizon
except for a ... | [
{
"created": "Tue, 26 Oct 2010 12:35:12 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Jan 2011 14:38:40 GMT",
"version": "v2"
}
] | 2011-02-25 | [
[
"Sasai",
"Yuya",
""
],
[
"Zahabi",
"Ali",
""
]
] | Black hole membrane paradigm states that a certain viscous membrane seems to be sitting on a stretched horizon of a black hole from the viewpoint of a distant observer. We show that the shear viscosity of the fictitious membrane can be reproduced by a highly excited string covering the stretched horizon except for a nu... |
1812.10821 | Djordje Minic | Laurent Freidel, Jerzy Kowalski-Glikman, Robert G. Leigh and Djordje
Minic | The Theory of Metaparticles | 20 pages, 1 figure; published in Phys. Rev. D. (March 26, 2019)
volume 99, eid 066011 | Phys. Rev. D 99, 066011 (2019) | 10.1103/PhysRevD.99.066011 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce and develop the theory of metaparticles. At the classical level,
this is a world-line theory with the usual reparameterization invariance and
two additional features. The theory is motivated by string theory on compact
targets, and can be thought of, at least at the non-interacting level, as a
theory of ... | [
{
"created": "Thu, 27 Dec 2018 20:48:30 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Mar 2019 16:49:52 GMT",
"version": "v2"
}
] | 2019-04-03 | [
[
"Freidel",
"Laurent",
""
],
[
"Kowalski-Glikman",
"Jerzy",
""
],
[
"Leigh",
"Robert G.",
""
],
[
"Minic",
"Djordje",
""
]
] | We introduce and develop the theory of metaparticles. At the classical level, this is a world-line theory with the usual reparameterization invariance and two additional features. The theory is motivated by string theory on compact targets, and can be thought of, at least at the non-interacting level, as a theory of pa... |
hep-th/0011172 | null | V.P. Nair (CUNY), A.P. Polychronakos (CUNY & Ru) | Quantum mechanics on the noncommutative plane and sphere | 12 pages, no figures; references added | Phys.Lett.B505:267-274,2001 | 10.1016/S0370-2693(01)00339-2 | CCNY-HEP-00/7, RU-00-12-B | hep-th | null | We consider the quantum mechanics of a particle on a noncommutative plane.
The case of a charged particle in a magnetic field (the Landau problem) with a
harmonic oscillator potential is solved. There is a critical point, where the
density of states becomes infinite, for the value of the magnetic field equal
to the i... | [
{
"created": "Sun, 19 Nov 2000 20:56:18 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Jan 2001 15:54:07 GMT",
"version": "v2"
}
] | 2011-05-05 | [
[
"Nair",
"V. P.",
"",
"CUNY"
],
[
"Polychronakos",
"A. P.",
"",
"CUNY & Ru"
]
] | We consider the quantum mechanics of a particle on a noncommutative plane. The case of a charged particle in a magnetic field (the Landau problem) with a harmonic oscillator potential is solved. There is a critical point, where the density of states becomes infinite, for the value of the magnetic field equal to the inv... |
hep-th/9210056 | hector DE Vega | H.J. de Vega | Simple Approach to Thermal Bethe Ansatz | 12 pages, phyzzx | null | null | LPTHE 92-30 | hep-th | null | We report on a new approach to the calculation of thermodynamic functions for
crossing-invariant models solvable by Bethe Ansatz. In the case of the XXZ
Heisenberg chain we derive, for arbitrary values of the anysotropy, a single
non-linear integral equation from which the free energy can be exactly
calculated.These ... | [
{
"created": "Fri, 9 Oct 1992 17:23:31 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"de Vega",
"H. J.",
""
]
] | We report on a new approach to the calculation of thermodynamic functions for crossing-invariant models solvable by Bethe Ansatz. In the case of the XXZ Heisenberg chain we derive, for arbitrary values of the anysotropy, a single non-linear integral equation from which the free energy can be exactly calculated.These eq... |
2107.06821 | Aroonkumar Beesham | Aroonkumar Beesham, Kazuharu Bamba | Inflationary universe from anomaly-free $F(R)$-gravity | 11 pages, 7 figures | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | By adding a three dimensional manifold to an eleven dimensional manifold in
supergravity, we obtain the action of $F(R)$-gravity and find that it is
anomaly free. We calculate the scale factor of the inflationary universe in
this model, and observe that it is related to the slow-roll parameters. The
scalar-tensor rat... | [
{
"created": "Mon, 5 Jul 2021 16:33:51 GMT",
"version": "v1"
}
] | 2021-07-15 | [
[
"Beesham",
"Aroonkumar",
""
],
[
"Bamba",
"Kazuharu",
""
]
] | By adding a three dimensional manifold to an eleven dimensional manifold in supergravity, we obtain the action of $F(R)$-gravity and find that it is anomaly free. We calculate the scale factor of the inflationary universe in this model, and observe that it is related to the slow-roll parameters. The scalar-tensor ratio... |
hep-th/9509109 | Nami Fux Svaiter | F.S.Nogueira and N.F.Svaiter (CBPF) | Dimensional transmutation and symmetry breaking in Maxwell- Chern-Simons
scalar QED | e-mail: nfuxsvai@lca1.drp.cbpf.br | Mod.Phys.Lett. A11 (1996) 1627-1636 | 10.1142/S0217732396001624 | null | hep-th | null | The mechanism of dimensional transmutation is discussed in the context of
Maxwell-Chern-Simons scalar QED. The method used is non-perturbative. The
effective potential describes a broken symmetry state. It is found that the
symmetry breaking vacuum is more stable when the Chern-Simons mass is different
from zero.
P... | [
{
"created": "Thu, 21 Sep 1995 00:10:26 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Nogueira",
"F. S.",
"",
"CBPF"
],
[
"Svaiter",
"N. F.",
"",
"CBPF"
]
] | The mechanism of dimensional transmutation is discussed in the context of Maxwell-Chern-Simons scalar QED. The method used is non-perturbative. The effective potential describes a broken symmetry state. It is found that the symmetry breaking vacuum is more stable when the Chern-Simons mass is different from zero. Pacs ... |
1904.04634 | Eugenio R. Bezerra de Mello | Herondy F. Santana Mota and Eug\^enio R. Bezerra de Mello | Induced Brownian motion by the Friedmann-Robertson-Walker spacetime in
the presence of a cosmic string | 24 pages, 2 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we investigate the quantum Brownian motion of a massive scalar
point particle induced by the FRW spacetime in the presence of a linear
topological defect named cosmic string. In addition, we also consider a flat
boundary orthogonal to the defect to analyse its effect on the particle's
motion. For both c... | [
{
"created": "Tue, 9 Apr 2019 13:08:17 GMT",
"version": "v1"
}
] | 2019-04-10 | [
[
"Mota",
"Herondy F. Santana",
""
],
[
"de Mello",
"Eugênio R. Bezerra",
""
]
] | In this paper we investigate the quantum Brownian motion of a massive scalar point particle induced by the FRW spacetime in the presence of a linear topological defect named cosmic string. In addition, we also consider a flat boundary orthogonal to the defect to analyse its effect on the particle's motion. For both cas... |
1501.05658 | Ed Seidewitz | Ed Seidewitz | Avoiding Haag's theorem with parameterized quantum field theory | RevTex 4; v2: Title changed and early sections significantly
re-written to improve parallel with traditional QFT and focus on what is
necessary for Haag's Theorem; v3: Shortened and re-written based on a more
rigorous underlying formalism; v4: Accepted for publication in Found Phys; v5
Editorial corrections | Found Phys, 47(3), 355-374 (2017) | 10.1007/s10701-017-0065-8 | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Under the normal assumptions of quantum field theory, Haag's theorem states
that any field unitarily equivalent to a free field must itself be a free
field. Unfortunately, the derivation of the Dyson series perturbation expansion
relies on the use of the interaction picture, in which the interacting field is
unitaril... | [
{
"created": "Thu, 22 Jan 2015 21:00:13 GMT",
"version": "v1"
},
{
"created": "Sat, 5 Sep 2015 21:23:21 GMT",
"version": "v2"
},
{
"created": "Wed, 28 Sep 2016 04:07:59 GMT",
"version": "v3"
},
{
"created": "Thu, 26 Jan 2017 05:49:21 GMT",
"version": "v4"
},
{
"cr... | 2017-03-01 | [
[
"Seidewitz",
"Ed",
""
]
] | Under the normal assumptions of quantum field theory, Haag's theorem states that any field unitarily equivalent to a free field must itself be a free field. Unfortunately, the derivation of the Dyson series perturbation expansion relies on the use of the interaction picture, in which the interacting field is unitarily ... |
1011.4120 | Wen-Li Yang | Wen-Li Yang and Yao-Zhong Zhang | Drinfeld twists of the open XXZ chain with non-diagonal boundary terms | Latex file, 25 pages | Nucl.Phys.B831:408-428,2010 | 10.1016/j.nuclphysb.2010.01.001 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Drinfeld twists or factorizing F-matrices for the open XXZ spin chain
with non-diagonal boundary terms are constructed. It is shown that in the
F-basis the two sets of pseudo-particle creation operators simultaneously take
completely symmetric and polarization free form. The explicit and completely
symmetric expr... | [
{
"created": "Thu, 18 Nov 2010 01:28:39 GMT",
"version": "v1"
}
] | 2011-07-06 | [
[
"Yang",
"Wen-Li",
""
],
[
"Zhang",
"Yao-Zhong",
""
]
] | The Drinfeld twists or factorizing F-matrices for the open XXZ spin chain with non-diagonal boundary terms are constructed. It is shown that in the F-basis the two sets of pseudo-particle creation operators simultaneously take completely symmetric and polarization free form. The explicit and completely symmetric expres... |
1302.0670 | S. Weinzierl | Stefan Weinzierl | Periods and Hodge structures in perturbative quantum field theory | 11 pages, to appear in the proceedings of the workshop "Periods and
Motives", Madrid, July 2012, v2: typos corrected, comments added | null | null | null | hep-th hep-ph math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | There is a fruitful interplay between algebraic geometry on the one side and
perturbative quantum field theory on the other side. I review the main relevant
mathematical concepts of periods, Hodge structures and Picard-Fuchs equations
and discuss the connection with Feynman integrals.
| [
{
"created": "Mon, 4 Feb 2013 12:40:48 GMT",
"version": "v1"
},
{
"created": "Sat, 6 Jul 2013 15:28:13 GMT",
"version": "v2"
}
] | 2013-07-09 | [
[
"Weinzierl",
"Stefan",
""
]
] | There is a fruitful interplay between algebraic geometry on the one side and perturbative quantum field theory on the other side. I review the main relevant mathematical concepts of periods, Hodge structures and Picard-Fuchs equations and discuss the connection with Feynman integrals. |
1807.07608 | Igor Shovkovy | D. O. Rybalka, E. V. Gorbar and I. A. Shovkovy | Hydrodynamic modes in a magnetized chiral plasma with vorticity | 27 pages, 5 figures, published version | Phys. Rev. D 99, 016017 (2019) | 10.1103/PhysRevD.99.016017 | null | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | By making use of a covariant formulation of the chiral kinetic theory in the
relaxation-time approximation, we derive the first-order dissipative
hydrodynamics equations for a charged chiral plasma with background
electromagnetic fields. We identify the global equilibrium state for a rotating
chiral plasma confined t... | [
{
"created": "Thu, 19 Jul 2018 19:00:17 GMT",
"version": "v1"
},
{
"created": "Sun, 4 Nov 2018 22:04:34 GMT",
"version": "v2"
},
{
"created": "Tue, 5 Feb 2019 17:32:01 GMT",
"version": "v3"
}
] | 2019-02-06 | [
[
"Rybalka",
"D. O.",
""
],
[
"Gorbar",
"E. V.",
""
],
[
"Shovkovy",
"I. A.",
""
]
] | By making use of a covariant formulation of the chiral kinetic theory in the relaxation-time approximation, we derive the first-order dissipative hydrodynamics equations for a charged chiral plasma with background electromagnetic fields. We identify the global equilibrium state for a rotating chiral plasma confined to ... |
0807.2164 | Giuseppe Vitiello | Giuseppe Vitiello | Topological defects, fractals and the structure of quantum field theory | 17 pages | null | null | null | hep-th cond-mat.other nlin.PS | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper I discuss the formation of topological defects in quantum field
theory and the relation between fractals and coherent states. The study of
defect formation is particularly useful in the understanding of the same
mathematical structure of quantum field theory with particular reference to the
processes of... | [
{
"created": "Sun, 13 Jul 2008 10:58:16 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Aug 2008 14:23:32 GMT",
"version": "v2"
}
] | 2008-08-22 | [
[
"Vitiello",
"Giuseppe",
""
]
] | In this paper I discuss the formation of topological defects in quantum field theory and the relation between fractals and coherent states. The study of defect formation is particularly useful in the understanding of the same mathematical structure of quantum field theory with particular reference to the processes of n... |
1102.4742 | Alexander Westphal | Koushik Dutta, Pascal M. Vaudrevange and Alexander Westphal | An Exact Tunneling Solution in a Simple Realistic Landscape | RevTeX 4.1, 4 pages, 5 figures | Class.Quant.Grav. 29 (2012) 065011 | 10.1088/0264-9381/29/6/065011 | DESY-11-028 | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present an analytical solution for the tunneling process in a piecewise
linear and quadratic potential which does not make use of the thin-wall
approximation. A quadratic potential allows for smooth attachment of various
slopes exiting into the final minimum of a realistic potential. Our tunneling
solution thus se... | [
{
"created": "Wed, 23 Feb 2011 14:03:35 GMT",
"version": "v1"
}
] | 2015-07-24 | [
[
"Dutta",
"Koushik",
""
],
[
"Vaudrevange",
"Pascal M.",
""
],
[
"Westphal",
"Alexander",
""
]
] | We present an analytical solution for the tunneling process in a piecewise linear and quadratic potential which does not make use of the thin-wall approximation. A quadratic potential allows for smooth attachment of various slopes exiting into the final minimum of a realistic potential. Our tunneling solution thus serv... |
0708.0707 | Pulak Ranjan Giri | Pulak Ranjan Giri | Hidden scale in quantum mechanics | 4 pages, 5 figures | Mod.Phys.Lett.A24:2203-2211,2009 | 10.1142/S0217732309030102 | SINP/TNP/2007/19 | hep-th quant-ph | null | We show that the intriguing localization of a free particle wave-packet is
possible due to a hidden scale present in the system. Self-adjoint extensions
(SAE) is responsible for introducing this scale in quantum mechanical models
through the nontrivial boundary conditions. We discuss a couple of classically
scale inv... | [
{
"created": "Mon, 6 Aug 2007 06:22:14 GMT",
"version": "v1"
}
] | 2010-11-15 | [
[
"Giri",
"Pulak Ranjan",
""
]
] | We show that the intriguing localization of a free particle wave-packet is possible due to a hidden scale present in the system. Self-adjoint extensions (SAE) is responsible for introducing this scale in quantum mechanical models through the nontrivial boundary conditions. We discuss a couple of classically scale invar... |
hep-th/9807212 | Fabian Gaioli | Juan P. Aparicio, Fabian H. Gaioli, and Edgardo T. Garcia Alvarez | Proper time derivatives in quantum mechanics | 10 pages, Revtex | Phys.Rev.A51:96-103,1995 | 10.1103/PhysRevA.51.96 | null | hep-th quant-ph | null | Several quantum proper time derivatives are obtained from the Beck one in the
usual framework of relativistic quantum mechanics (spin 1/2 case). The ``scalar
Hamiltonians'' of these derivatives should be thought of as the conjugate
variables of the proper time. Then, the Hamiltonians would play the role of
mass opera... | [
{
"created": "Tue, 28 Jul 1998 22:07:27 GMT",
"version": "v1"
}
] | 2010-11-23 | [
[
"Aparicio",
"Juan P.",
""
],
[
"Gaioli",
"Fabian H.",
""
],
[
"Alvarez",
"Edgardo T. Garcia",
""
]
] | Several quantum proper time derivatives are obtained from the Beck one in the usual framework of relativistic quantum mechanics (spin 1/2 case). The ``scalar Hamiltonians'' of these derivatives should be thought of as the conjugate variables of the proper time. Then, the Hamiltonians would play the role of mass operato... |
hep-th/9509145 | Eric Bergshoeff | Eric Bergshoeff (University of Groningen) | Duality Symmetries and the Type II String Effective Action | 19 pages, Latex, based on talk given at the Trieste conference on
S-duality and Mirror Symmetry, June 1995 | Nucl.Phys.Proc.Suppl. 46 (1996) 39-48 | 10.1016/0920-5632(96)00005-9 | UG-11/95 | hep-th | null | We discuss the duality symmetries of Type II string effective actions in
nine, ten and eleven dimensions. As a by-product we give a covariant action
underlying the ten--dimensional Type IIB supergravity theory. We apply duality
symmetries to construct dyonic Type II string solutions in six dimensions and
their reform... | [
{
"created": "Tue, 26 Sep 1995 14:43:51 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Bergshoeff",
"Eric",
"",
"University of Groningen"
]
] | We discuss the duality symmetries of Type II string effective actions in nine, ten and eleven dimensions. As a by-product we give a covariant action underlying the ten--dimensional Type IIB supergravity theory. We apply duality symmetries to construct dyonic Type II string solutions in six dimensions and their reformul... |
hep-th/9512176 | Grigore Dan | Dan Radu Grigore | Variational Equations and Symmetries in the Lagrangian Formalism II.
Arbitrary Vector Fields | 26 pages, LATEX, some errors corrected, many simplifications of the
proofs | Fortsch.Phys. 45 (1997) 727-751 | null | null | hep-th | null | We continue the study of symmetries in the Lagrangian formalism of arbitrary
order with the help of the so-called Anderson-Duchamp-Krupka equations. For the
case of second-order equations and arbitrary vector fields we are able to
establish a polynomial structure in the second-order derivatives. This
structure is bas... | [
{
"created": "Thu, 21 Dec 1995 14:58:58 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Aug 1996 10:19:44 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Grigore",
"Dan Radu",
""
]
] | We continue the study of symmetries in the Lagrangian formalism of arbitrary order with the help of the so-called Anderson-Duchamp-Krupka equations. For the case of second-order equations and arbitrary vector fields we are able to establish a polynomial structure in the second-order derivatives. This structure is based... |
hep-th/0702188 | Etsuko Itou | Takeshi Higashi, Kiyoshi Higashijima and Etsuko Itou | Three dimensional conformal sigma models | 20page, 6figures | null | 10.1143/PTP.117.1139 | OU-HET 573 | hep-th | null | We construct novel conformal sigma models in three dimensions. Nonlinear
sigma models in three dimensions are nonrenormalizable in perturbation theory.
We use Wilsonian renormalization group equation method to find the fixed
points. Existence of fixed points is extremely important in this approach to
show the renorma... | [
{
"created": "Fri, 23 Feb 2007 06:00:13 GMT",
"version": "v1"
},
{
"created": "Fri, 25 May 2007 03:34:32 GMT",
"version": "v2"
}
] | 2009-11-13 | [
[
"Higashi",
"Takeshi",
""
],
[
"Higashijima",
"Kiyoshi",
""
],
[
"Itou",
"Etsuko",
""
]
] | We construct novel conformal sigma models in three dimensions. Nonlinear sigma models in three dimensions are nonrenormalizable in perturbation theory. We use Wilsonian renormalization group equation method to find the fixed points. Existence of fixed points is extremely important in this approach to show the renormali... |
2205.15467 | Hasan Mahmood | Hasan Mahmood, R. A. Reid-Edwards | Operator Deformations and T-duality via Parallel Transport | 48+13 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider deformations of CFTs from the perspective of parallel transport
in moduli space. In particular, we show how the deformations of individual
operators can be computed and we also explore how these ideas can be extended
to more general QFTs lacking conformal symmetry. We explore how to write one
theory in te... | [
{
"created": "Mon, 30 May 2022 23:46:08 GMT",
"version": "v1"
}
] | 2022-06-01 | [
[
"Mahmood",
"Hasan",
""
],
[
"Reid-Edwards",
"R. A.",
""
]
] | We consider deformations of CFTs from the perspective of parallel transport in moduli space. In particular, we show how the deformations of individual operators can be computed and we also explore how these ideas can be extended to more general QFTs lacking conformal symmetry. We explore how to write one theory in term... |
1511.01002 | David Rodr\'iguez Fern\'andez | Carlos Hoyos, David Rodr\'iguez Fern\'andez | Ward identities and relations between conductivities and viscosities in
holography | 38 pages, to be published in JHEP | null | 10.1007/JHEP01(2016)013 | FPAU0-15/14 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive relations between viscosities and momentum conductivity in $2+1$
dimensions by finding a generalization of holographic Ward identities for the
energy-momentum tensor. The generalization is novel in the sense that it goes
beyond the usual identities obtained from holographic renormalization. Our
results are ... | [
{
"created": "Tue, 3 Nov 2015 17:21:03 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Nov 2015 09:59:57 GMT",
"version": "v2"
},
{
"created": "Wed, 16 Dec 2015 17:00:03 GMT",
"version": "v3"
}
] | 2016-01-27 | [
[
"Hoyos",
"Carlos",
""
],
[
"Fernández",
"David Rodríguez",
""
]
] | We derive relations between viscosities and momentum conductivity in $2+1$ dimensions by finding a generalization of holographic Ward identities for the energy-momentum tensor. The generalization is novel in the sense that it goes beyond the usual identities obtained from holographic renormalization. Our results are co... |
hep-th/9802046 | Bert Schroer | Bert Schroer (FU-Berlin) | Coincidences between M(atrix) Theory and Algebraic QFT? | null | null | null | null | hep-th | null | The content of this paper is incorporated into hep-th/9805093
| [
{
"created": "Sat, 7 Feb 1998 19:00:58 GMT",
"version": "v1"
},
{
"created": "Fri, 15 May 1998 16:43:41 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Schroer",
"Bert",
"",
"FU-Berlin"
]
] | The content of this paper is incorporated into hep-th/9805093 |
2010.06762 | Eduardo Folco Capossoli | Diego M. Rodrigues, Danning Li, Eduardo Folco Capossoli and Henrique
Boschi-Filho | Finite density effects on chiral symmetry breaking in a magnetic field
in 2+1 dimensions from holography | V3: 17 pages, 3 figures. Text improved. Typos corrected. New
references added. Results unchanged. This version matches the published one
in PRD | Phys. Rev. D 103, 066022 (2021) | 10.1103/PhysRevD.103.066022 | null | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | In this work we study finite density effects in spontaneous chiral symmetry
breaking as well as chiral phase transition under the influence of a background
magnetic field in $ 2+1 $ dimensions. For this purpose, we use an improved
holographic softwall model based on an interpolated dilaton profile. We find
inverse ma... | [
{
"created": "Wed, 14 Oct 2020 01:22:39 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Oct 2020 19:39:56 GMT",
"version": "v2"
},
{
"created": "Fri, 26 Mar 2021 16:31:41 GMT",
"version": "v3"
}
] | 2021-03-29 | [
[
"Rodrigues",
"Diego M.",
""
],
[
"Li",
"Danning",
""
],
[
"Capossoli",
"Eduardo Folco",
""
],
[
"Boschi-Filho",
"Henrique",
""
]
] | In this work we study finite density effects in spontaneous chiral symmetry breaking as well as chiral phase transition under the influence of a background magnetic field in $ 2+1 $ dimensions. For this purpose, we use an improved holographic softwall model based on an interpolated dilaton profile. We find inverse magn... |
hep-th/0502208 | Yuri Aisaka | Yuri Aisaka and Yoichi Kazama | Origin of Pure Spinor Superstring | 21 pages, no figure; v2: refs. added | JHEP 0505:046,2005 | 10.1088/1126-6708/2005/05/046 | UT-Komaba 05-2 | hep-th | null | The pure spinor formalism for the superstring, initiated by N. Berkovits, is
derived at the fully quantum level starting from a fundamental
reparametrization invariant and super-Poincare invariant worldsheet action. It
is a simple extension of the Green-Schwarz action with doubled spinor degrees
of freedom with a com... | [
{
"created": "Wed, 23 Feb 2005 09:15:12 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Mar 2005 10:20:17 GMT",
"version": "v2"
}
] | 2010-02-03 | [
[
"Aisaka",
"Yuri",
""
],
[
"Kazama",
"Yoichi",
""
]
] | The pure spinor formalism for the superstring, initiated by N. Berkovits, is derived at the fully quantum level starting from a fundamental reparametrization invariant and super-Poincare invariant worldsheet action. It is a simple extension of the Green-Schwarz action with doubled spinor degrees of freedom with a compe... |
2112.00531 | Carlos Hoyos Badajoz | Kevin T. Grosvenor, Carlos Hoyos, Francisco Pe\~na-Benitez and Piotr
Sur\'owka | Space-dependent symmetries and fractons | 26 pages, review article for Frontiers Research Topic "Non-Lorentzian
Geometry and its Applications", minor corrections, references added | null | null | null | hep-th cond-mat.stat-mech cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | There has been a surge of interest in effective non-Lorentzian theories of
excitations with restricted mobility, known as fractons. Examples include
defects in elastic materials, vortex lattices or spin liquids. In the effective
theory novel coordinate-dependent symmetries emerge that shape the properties
of fractons... | [
{
"created": "Wed, 1 Dec 2021 14:41:49 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Dec 2021 18:41:58 GMT",
"version": "v2"
}
] | 2021-12-23 | [
[
"Grosvenor",
"Kevin T.",
""
],
[
"Hoyos",
"Carlos",
""
],
[
"Peña-Benitez",
"Francisco",
""
],
[
"Surówka",
"Piotr",
""
]
] | There has been a surge of interest in effective non-Lorentzian theories of excitations with restricted mobility, known as fractons. Examples include defects in elastic materials, vortex lattices or spin liquids. In the effective theory novel coordinate-dependent symmetries emerge that shape the properties of fractons. ... |
2407.04316 | Sang-Heon Yi | Dongsu Bak, Chanju Kim, Sang-Heon Yi | Janus Deformation of de Sitter Space and Transitions in Gravitational
Algebras | 1+19 pages, 3 figures v2: added references | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We consider a time-dependent $\mathcal{O}(1/G)$ deformation of pure de Sitter
(dS) space in dS gravity coupled to a massless scalar field. It is the dS
counterpart of the AdS Janus deformation and interpolates two asymptotically dS
spaces in the far past and the far future with a single deformation parameter.
The Pen... | [
{
"created": "Fri, 5 Jul 2024 07:36:54 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Jul 2024 12:44:35 GMT",
"version": "v2"
}
] | 2024-07-10 | [
[
"Bak",
"Dongsu",
""
],
[
"Kim",
"Chanju",
""
],
[
"Yi",
"Sang-Heon",
""
]
] | We consider a time-dependent $\mathcal{O}(1/G)$ deformation of pure de Sitter (dS) space in dS gravity coupled to a massless scalar field. It is the dS counterpart of the AdS Janus deformation and interpolates two asymptotically dS spaces in the far past and the far future with a single deformation parameter. The Penro... |
0810.3344 | Matheus Lazo Lazo | Matheus Jatkoske Lazo | Integrable Inhomogeneous Spin Chains in Generalized Lunin-Maldacena
Backgrounds | Change in references. Talk given at II Latin American Workshop on
High Energy Phenomenology and published in Brazilian Journal of Physics, vol.
38, no. 3B, September, 2008 | Braz.J.Phys.38:472-476,2008 | 10.1590/S0103-97332008000400017 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We obtain through a Matrix Product Ansatz the exact solution of the most
general inhomogeneous spin chain with nearest neighbor interaction and with
$U(1)^2$ and $U(1)^3$ symmetries. These models are related to the one loop
mixing matrix of the Leigh-Strassler deformed N=4 SYM theory, dual to type IIB
string theory i... | [
{
"created": "Sat, 18 Oct 2008 20:06:20 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Nov 2008 16:32:21 GMT",
"version": "v2"
}
] | 2011-08-31 | [
[
"Lazo",
"Matheus Jatkoske",
""
]
] | We obtain through a Matrix Product Ansatz the exact solution of the most general inhomogeneous spin chain with nearest neighbor interaction and with $U(1)^2$ and $U(1)^3$ symmetries. These models are related to the one loop mixing matrix of the Leigh-Strassler deformed N=4 SYM theory, dual to type IIB string theory in ... |
2312.05377 | Alex Buchel | Alex Buchel, Sera Cremonini and Laura Early | Holographic transport beyond the supergravity approximation | 46 pages, 10 figures; v2: JHEP version | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We set up a unified framework to efficiently compute the shear and bulk
viscosities of strongly coupled gauge theories with gravitational holographic
duals involving higher derivative corrections. We consider both Weyl$^4$
corrections, encoding the finite 't Hooft coupling corrections of the boundary
theory, and Riem... | [
{
"created": "Fri, 8 Dec 2023 21:29:10 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Mar 2024 14:57:23 GMT",
"version": "v2"
}
] | 2024-03-13 | [
[
"Buchel",
"Alex",
""
],
[
"Cremonini",
"Sera",
""
],
[
"Early",
"Laura",
""
]
] | We set up a unified framework to efficiently compute the shear and bulk viscosities of strongly coupled gauge theories with gravitational holographic duals involving higher derivative corrections. We consider both Weyl$^4$ corrections, encoding the finite 't Hooft coupling corrections of the boundary theory, and Rieman... |
0807.1495 | Artemio Gonzalez-Lopez | J.C. Barba, F. Finkel, A. Gonzalez-Lopez, M.A. Rodriguez | An exactly solvable supersymmetric spin chain of BC_N type | 36 pages, 7 figures | Nucl.Phys.B806:684-714,2009 | 10.1016/j.nuclphysb.2008.08.014 | null | hep-th cond-mat.str-el math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a new exactly solvable supersymmetric spin chain related to the
BC_N extended root system, which includes as a particular case the BC_N version
of the Polychronakos-Frahm spin chain. We also introduce a supersymmetric spin
dynamical model of Calogero type which yields the new chain in the large
coupling ... | [
{
"created": "Wed, 9 Jul 2008 16:58:50 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Barba",
"J. C.",
""
],
[
"Finkel",
"F.",
""
],
[
"Gonzalez-Lopez",
"A.",
""
],
[
"Rodriguez",
"M. A.",
""
]
] | We construct a new exactly solvable supersymmetric spin chain related to the BC_N extended root system, which includes as a particular case the BC_N version of the Polychronakos-Frahm spin chain. We also introduce a supersymmetric spin dynamical model of Calogero type which yields the new chain in the large coupling li... |
1504.03566 | Daniel Junghans | Daniel Junghans | Large-Field Inflation with Multiple Axions and the Weak Gravity
Conjecture | 30+8 pages, 13 figures, 1 table. v2: several remarks and references
added, version to appear in JHEP | null | 10.1007/JHEP02(2016)128 | LMU-ASC 21/15 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note, we discuss the implications of the weak gravity conjecture
(WGC) for general models of large-field inflation with a large number of axions
$N$. We first show that, from the bottom-up perspective, such models admit a
variety of different regimes for the enhancement of the effective axion decay
constant, ... | [
{
"created": "Tue, 14 Apr 2015 14:42:50 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Feb 2016 15:08:36 GMT",
"version": "v2"
}
] | 2016-03-23 | [
[
"Junghans",
"Daniel",
""
]
] | In this note, we discuss the implications of the weak gravity conjecture (WGC) for general models of large-field inflation with a large number of axions $N$. We first show that, from the bottom-up perspective, such models admit a variety of different regimes for the enhancement of the effective axion decay constant, de... |
2201.02412 | Hiroki Kawai | David Berenstein, Richard Brower, Hiroki Kawai | U(1) Fields from Qubits: an Approach via D-theory Algebra | 19 pages, 10 figures | null | null | null | hep-th hep-lat quant-ph | http://creativecommons.org/licenses/by/4.0/ | A new quantum link microstructure was proposed for the lattice quantum
chromodynamics (QCD) Hamiltonian, replacing the Wilson gauge links with a
bilinear of fermionic qubits, later generalized to D-theory. This formalism
provides a general framework for building lattice field theory algorithms for
quantum computing. ... | [
{
"created": "Fri, 7 Jan 2022 11:45:22 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Dec 2023 03:48:44 GMT",
"version": "v2"
}
] | 2023-12-11 | [
[
"Berenstein",
"David",
""
],
[
"Brower",
"Richard",
""
],
[
"Kawai",
"Hiroki",
""
]
] | A new quantum link microstructure was proposed for the lattice quantum chromodynamics (QCD) Hamiltonian, replacing the Wilson gauge links with a bilinear of fermionic qubits, later generalized to D-theory. This formalism provides a general framework for building lattice field theory algorithms for quantum computing. We... |
hep-th/0409243 | Sergey Cherkis | Nathan Berkovits and Sergey A. Cherkis | Higher-Dimensional Twistor Transforms using Pure Spinors | 17 pages harvmac tex. Modified title, abstract, introduction and
references to acknowledge earlier papers by Hughston and others | JHEP0412:049,2004 | 10.1088/1126-6708/2004/12/049 | IFT-P.048/2004, TCD-Math-04-16, HMI-04-05 | hep-th | null | Hughston has shown that projective pure spinors can be used to construct
massless solutions in higher dimensions, generalizing the four-dimensional
twistor transform of Penrose. In any even (Euclidean) dimension d=2n,
projective pure spinors parameterize the coset space SO(2n)/U(n), which is the
space of all complex ... | [
{
"created": "Fri, 24 Sep 2004 19:40:17 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Nov 2004 19:29:40 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Berkovits",
"Nathan",
""
],
[
"Cherkis",
"Sergey A.",
""
]
] | Hughston has shown that projective pure spinors can be used to construct massless solutions in higher dimensions, generalizing the four-dimensional twistor transform of Penrose. In any even (Euclidean) dimension d=2n, projective pure spinors parameterize the coset space SO(2n)/U(n), which is the space of all complex st... |
2406.06055 | Prasanjit Aich | Nirmalendu Acharyya, Prasanjit Aich, Arkajyoti Bandyopadhyay and
Sachindeo Vaidya | The matrix model of two-color one-flavor QCD: The ultra-strong coupling
regime | 23 pages Latex, 18 figures | null | null | null | hep-th hep-lat hep-ph | http://creativecommons.org/licenses/by/4.0/ | Using variational methods, we numerically investigate the matrix model for
the two-color QCD coupled to a single quark (matrix-QCD$_{2,1}$) in the limit
of ultra-strong Yang-Mills coupling ($g =\infty$). The spectrum of the model
has superselection sectors labelled by baryon number $B$ and spin $J$. We study
sectors ... | [
{
"created": "Mon, 10 Jun 2024 07:03:31 GMT",
"version": "v1"
}
] | 2024-06-11 | [
[
"Acharyya",
"Nirmalendu",
""
],
[
"Aich",
"Prasanjit",
""
],
[
"Bandyopadhyay",
"Arkajyoti",
""
],
[
"Vaidya",
"Sachindeo",
""
]
] | Using variational methods, we numerically investigate the matrix model for the two-color QCD coupled to a single quark (matrix-QCD$_{2,1}$) in the limit of ultra-strong Yang-Mills coupling ($g =\infty$). The spectrum of the model has superselection sectors labelled by baryon number $B$ and spin $J$. We study sectors wi... |
1311.5519 | Sandipan Kundu | Willy Fischler, Sandipan Kundu, Juan F. Pedraza | Entanglement and out-of-equilibrium dynamics in holographic models of de
Sitter QFTs | 39 pages, 11 figures; minor changes, conclusions unchanged | JHEP 07 (2014) 021 | 10.1007/JHEP07(2014)021 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we study various aspects of entanglement entropy in
strongly-coupled de Sitter quantum field theories in various dimensions. We
find gravity solutions that are dual to field theories in a fixed de Sitter
background, both in equilibrium and out-of-equilibrium configurations. The
latter corresponds to the... | [
{
"created": "Thu, 21 Nov 2013 19:11:24 GMT",
"version": "v1"
},
{
"created": "Sun, 26 Jan 2014 00:27:39 GMT",
"version": "v2"
},
{
"created": "Mon, 7 Jul 2014 02:32:07 GMT",
"version": "v3"
}
] | 2014-07-08 | [
[
"Fischler",
"Willy",
""
],
[
"Kundu",
"Sandipan",
""
],
[
"Pedraza",
"Juan F.",
""
]
] | In this paper we study various aspects of entanglement entropy in strongly-coupled de Sitter quantum field theories in various dimensions. We find gravity solutions that are dual to field theories in a fixed de Sitter background, both in equilibrium and out-of-equilibrium configurations. The latter corresponds to the V... |
1908.08086 | Christian Saemann | Christian Saemann and Lennart Schmidt | Towards an M5-Brane Model II: Metric String Structures | v2: 70 pages, presentation improved, typos fixed, published version | Fortschr. Phys. 68 (2020) 2000051 | 10.1002/prop.202000051 | EMPG-19-20 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we develop the mathematical formulation of metric string
structures. These play a crucial role in the formulation of certain
six-dimensional superconformal field theories and we believe that they also
underlie potential future formulations of the (2,0)-theory. We show that the
connections on non-abelia... | [
{
"created": "Wed, 21 Aug 2019 19:13:16 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Aug 2020 08:38:44 GMT",
"version": "v2"
}
] | 2020-08-11 | [
[
"Saemann",
"Christian",
""
],
[
"Schmidt",
"Lennart",
""
]
] | In this paper, we develop the mathematical formulation of metric string structures. These play a crucial role in the formulation of certain six-dimensional superconformal field theories and we believe that they also underlie potential future formulations of the (2,0)-theory. We show that the connections on non-abelian ... |
0909.4057 | Anirban Saha | Anirban Saha | Aspects of Symmetries in Field and String Theories | 147 pages, Ph.D. thesis (2009), Advisor : Pradip Mukherjee | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The focus of the present thesis is on the analysis of gauge symmetry and its
various impacts on gauge theories. In the first part of this thesis, we have
studied different aspects of symmetries in connection with various field and
string theoretic models. The manifestations of gauge symmetries and their
interconnecti... | [
{
"created": "Tue, 22 Sep 2009 18:02:25 GMT",
"version": "v1"
}
] | 2009-09-23 | [
[
"Saha",
"Anirban",
""
]
] | The focus of the present thesis is on the analysis of gauge symmetry and its various impacts on gauge theories. In the first part of this thesis, we have studied different aspects of symmetries in connection with various field and string theoretic models. The manifestations of gauge symmetries and their interconnection... |
hep-th/9209027 | null | P.F.Bedaque, I.Horvath, S.G.Rajeev | Two dimensional baryons in the large N limit | 14 pages including figures | Mod.Phys.Lett.A7:3347-3356,1992 | 10.1142/S0217732392002731 | null | hep-th | null | We propose a bilocal field theory for mesons in two dimensions obtained as a
kind of non local bosonization of two dimensional QCD. Its semi-classical
expansion is equivalent to the $1/N_c$ expansion of QCD. Using an ansatz we
reduce the classical equation of motion of this theory in the baryon number one
sector to a... | [
{
"created": "Tue, 8 Sep 1992 17:56:00 GMT",
"version": "v1"
}
] | 2019-08-17 | [
[
"Bedaque",
"P. F.",
""
],
[
"Horvath",
"I.",
""
],
[
"Rajeev",
"S. G.",
""
]
] | We propose a bilocal field theory for mesons in two dimensions obtained as a kind of non local bosonization of two dimensional QCD. Its semi-classical expansion is equivalent to the $1/N_c$ expansion of QCD. Using an ansatz we reduce the classical equation of motion of this theory in the baryon number one sector to a r... |
2207.08831 | Tobias Theil | Pietro Baratella, Sara Maggio, Michael Stadlbauer and Tobias Theil | Two-Loop Infrared Renormalization with On-shell Methods | 28 pages, 4 figures, substantially extends v1 | null | null | TUM-HEP-1410/22, BONN-TH-2023-01 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Within the framework proposed by Caron-Huot and Wilhelm, we give a recipe for
computing infrared anomalous dimensions purely on-shell, efficiently up to two
loops in any massless theory. After introducing the general formalism and
reviewing the one-loop recipe, we extract a practical formula that relates
two-loop inf... | [
{
"created": "Mon, 18 Jul 2022 18:00:01 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Feb 2023 11:26:29 GMT",
"version": "v2"
},
{
"created": "Fri, 26 May 2023 08:47:15 GMT",
"version": "v3"
}
] | 2023-05-29 | [
[
"Baratella",
"Pietro",
""
],
[
"Maggio",
"Sara",
""
],
[
"Stadlbauer",
"Michael",
""
],
[
"Theil",
"Tobias",
""
]
] | Within the framework proposed by Caron-Huot and Wilhelm, we give a recipe for computing infrared anomalous dimensions purely on-shell, efficiently up to two loops in any massless theory. After introducing the general formalism and reviewing the one-loop recipe, we extract a practical formula that relates two-loop infra... |
hep-th/9911228 | Noriaki Sato | Noboru Kawamoto, Noriaki Sato, Yukiya Uchida | 4-dimensional BF Gravity on the Lattice | LaTeX2e, 45 pages, 55 eps figures | Nucl.Phys. B574 (2000) 809-848 | 10.1016/S0550-3213(00)00017-1 | EPHOU-99-0015 | hep-th | null | We propose the lattice version of $BF$ gravity action whose partition
function leads to the product of a particular form of 15-$j$ symbol which
corresponds to a 4-simplex. The action is explicitly constructed by lattice $B$
field defined on triangles and link variables defined on dual links and is
shown to be invaria... | [
{
"created": "Mon, 29 Nov 1999 13:10:22 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Kawamoto",
"Noboru",
""
],
[
"Sato",
"Noriaki",
""
],
[
"Uchida",
"Yukiya",
""
]
] | We propose the lattice version of $BF$ gravity action whose partition function leads to the product of a particular form of 15-$j$ symbol which corresponds to a 4-simplex. The action is explicitly constructed by lattice $B$ field defined on triangles and link variables defined on dual links and is shown to be invariant... |
1611.03948 | Kenji Mohri | Kenji Mohri | Algebra of Kodaira-Spencer Gravity and Deformation of Calabi-Yau
Manifold | preprint of an article published in Rev.Math.Phys. (C) World
Scientific Publishing Company | Reviews in Mathematical Physics vol.29, No.3 (2017) 1750010 (23
pages) | 10.1142/S0129055X17500106 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the algebraic structure of the configuration space of the
Kodaira-Spencer gravity theory on a Calabi-Yau threefold. We then investigate
the deformation problem of the Kodaira-Spencer gravity at the classical level
using the algebraic tools obtained here.
| [
{
"created": "Sat, 12 Nov 2016 03:47:08 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Feb 2017 04:48:38 GMT",
"version": "v2"
}
] | 2017-02-24 | [
[
"Mohri",
"Kenji",
""
]
] | We study the algebraic structure of the configuration space of the Kodaira-Spencer gravity theory on a Calabi-Yau threefold. We then investigate the deformation problem of the Kodaira-Spencer gravity at the classical level using the algebraic tools obtained here. |
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