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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2109.12351 | Nikhil Kalyanapuram | Nikhil Kalyanapuram | Holographic Representations of Supertranslation Eigenstates | v1: 15 pages, dedicated to the memory of Prof. Steven Weinberg | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct by direct computation holographic presentations of
supertranslation vacua given a set of supermomenta. To do this, we make use of
two-dimensional dual models recently discovered by the author, which encode
soft dynamics of gravity at leading order. In particular, the two-dimensional
models are used to de... | [
{
"created": "Sat, 25 Sep 2021 12:27:36 GMT",
"version": "v1"
}
] | 2021-09-28 | [
[
"Kalyanapuram",
"Nikhil",
""
]
] | We construct by direct computation holographic presentations of supertranslation vacua given a set of supermomenta. To do this, we make use of two-dimensional dual models recently discovered by the author, which encode soft dynamics of gravity at leading order. In particular, the two-dimensional models are used to defi... |
1603.07679 | Erick J. Weinberg | Ali Masoumi, Sonia Paban, and Erick J. Weinberg | Tunneling from a Minkowski vacuum to an AdS vacuum: A new thin-wall
regime | 29 pages, 13 figures; added discussion, figures, and references | Phys. Rev. D 94, 025023 (2016) | 10.1103/PhysRevD.94.025023 | UTTG-02-16 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using numerical and analytic methods, we study quantum tunneling from a
Minkowski false vacuum to an anti-de Sitter true vacuum. Scanning the parameter
space of theories with quartic and non-polynomial potentials, we find that for
any given potential tunneling is completely quenched if gravitational effects
are made ... | [
{
"created": "Thu, 24 Mar 2016 17:46:32 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Jul 2016 19:51:14 GMT",
"version": "v2"
}
] | 2016-07-26 | [
[
"Masoumi",
"Ali",
""
],
[
"Paban",
"Sonia",
""
],
[
"Weinberg",
"Erick J.",
""
]
] | Using numerical and analytic methods, we study quantum tunneling from a Minkowski false vacuum to an anti-de Sitter true vacuum. Scanning the parameter space of theories with quartic and non-polynomial potentials, we find that for any given potential tunneling is completely quenched if gravitational effects are made su... |
2006.07290 | Oscar Loaiza-Brito | Nana Cabo Bizet, Cesar Damian, Oscar Loaiza-Brito, Dami\'an Kaloni
Mayorga Pe\~na and J.A. Monta\~nez-Barrera | Testing Swampland Conjectures with Machine Learning | 30 pages, 14 Figures. (v2) References added | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider Type IIB compactifications on an isotropic torus $T^6$ threaded
by geometric and non geometric fluxes. For this particular setup we apply
supervised machine learning techniques, namely an artificial neural network
coupled to a genetic algorithm, in order to obtain more than sixty thousand
flux configurati... | [
{
"created": "Fri, 12 Jun 2020 16:12:17 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Jun 2020 17:10:58 GMT",
"version": "v2"
}
] | 2020-06-30 | [
[
"Bizet",
"Nana Cabo",
""
],
[
"Damian",
"Cesar",
""
],
[
"Loaiza-Brito",
"Oscar",
""
],
[
"Peña",
"Damián Kaloni Mayorga",
""
],
[
"Montañez-Barrera",
"J. A.",
""
]
] | We consider Type IIB compactifications on an isotropic torus $T^6$ threaded by geometric and non geometric fluxes. For this particular setup we apply supervised machine learning techniques, namely an artificial neural network coupled to a genetic algorithm, in order to obtain more than sixty thousand flux configuration... |
2009.02450 | Jiakang Bao | Jiakang Bao, Yang-Hui He, Yan Xiao | Chiral Rings, Futaki Invariants, Plethystics, and Groebner Bases | 49 pages; v3: minor corrections | J. High Energ. Phys. 2021, 203 (2021) | 10.1007/JHEP01(2021)203 | null | hep-th math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study chiral rings of 4d $\mathcal{N}=1$ supersymmetric gauge theories via
the notion of K-stability. We show that when using Hilbert series to perform
the computations of Futaki invariants, it is not enough to only include the
test symmetry information in the former's denominator. We discuss a way to
modify the n... | [
{
"created": "Sat, 5 Sep 2020 03:15:57 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Sep 2020 12:00:51 GMT",
"version": "v2"
},
{
"created": "Sat, 19 Dec 2020 20:26:45 GMT",
"version": "v3"
}
] | 2021-05-20 | [
[
"Bao",
"Jiakang",
""
],
[
"He",
"Yang-Hui",
""
],
[
"Xiao",
"Yan",
""
]
] | We study chiral rings of 4d $\mathcal{N}=1$ supersymmetric gauge theories via the notion of K-stability. We show that when using Hilbert series to perform the computations of Futaki invariants, it is not enough to only include the test symmetry information in the former's denominator. We discuss a way to modify the num... |
2005.04250 | Yin-Chen He | Yin-Chen He, Junchen Rong, and Ning Su | Non-Wilson-Fisher kinks of $O(N)$ numerical bootstrap: from the
deconfined phase transition to a putative new family of CFTs | 16+3 pages | SciPost Phys. 10, 115 (2021) | 10.21468/SciPostPhys.10.5.115 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is well established that the $O(N)$ Wilson-Fisher (WF) CFT sits at a kink
of the numerical bounds from bootstrapping four point function of $O(N)$
vector. Moving away from the WF kinks, there indeed exists another family of
kinks (dubbed non-WF kinks) on the curve of $O(N)$ numerical bounds. Different
from the $O(... | [
{
"created": "Fri, 8 May 2020 18:18:34 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Jun 2020 00:32:27 GMT",
"version": "v2"
},
{
"created": "Tue, 13 Apr 2021 23:17:22 GMT",
"version": "v3"
}
] | 2021-05-26 | [
[
"He",
"Yin-Chen",
""
],
[
"Rong",
"Junchen",
""
],
[
"Su",
"Ning",
""
]
] | It is well established that the $O(N)$ Wilson-Fisher (WF) CFT sits at a kink of the numerical bounds from bootstrapping four point function of $O(N)$ vector. Moving away from the WF kinks, there indeed exists another family of kinks (dubbed non-WF kinks) on the curve of $O(N)$ numerical bounds. Different from the $O(N)... |
2209.06222 | Rodolfo Panerai | Luca Griguolo, Rodolfo Panerai, Jacopo Papalini, Domenico Seminara | The phase diagram of $T\bar{T}$-deformed Yang-Mills theory on the sphere | 25 pages, 3 figures | null | 10.1007/JHEP11(2022)078 | UUITP-38/22 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the large-$N$ dynamics of $T\bar{T}$-deformed two-dimensional
Yang-Mills theory at genus zero. The 1/$N$-expansion of the free energy is
obtained by exploiting the associated flow equation and the complete phase
diagram of the theory is derived for both signs of the rescaled deformation
parameter $\tau$. We ... | [
{
"created": "Tue, 13 Sep 2022 18:00:01 GMT",
"version": "v1"
}
] | 2022-11-30 | [
[
"Griguolo",
"Luca",
""
],
[
"Panerai",
"Rodolfo",
""
],
[
"Papalini",
"Jacopo",
""
],
[
"Seminara",
"Domenico",
""
]
] | We study the large-$N$ dynamics of $T\bar{T}$-deformed two-dimensional Yang-Mills theory at genus zero. The 1/$N$-expansion of the free energy is obtained by exploiting the associated flow equation and the complete phase diagram of the theory is derived for both signs of the rescaled deformation parameter $\tau$. We ob... |
2205.07930 | Matthew Buican | Chinmaya Bhargava, Matthew Buican, and Hongliang Jiang | On the Protected Spectrum of the Minimal Argyres-Douglas Theory | 34 pages and 2 appendices; v2: references added and typos corrected | null | 10.1007/JHEP08(2022)132 | QMUL-PH-22-17 | hep-th | http://creativecommons.org/licenses/by/4.0/ | Despite the power of supersymmetry, finding exact closed-form expressions for
the protected operator spectra of interacting superconformal field theories
(SCFTs) is difficult. In this paper, we take a step towards a solution for the
"simplest" interacting 4D $\mathcal{N}=2$ SCFT: the minimal Argyres-Douglas
(MAD) the... | [
{
"created": "Mon, 16 May 2022 18:29:44 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Jun 2022 13:31:52 GMT",
"version": "v2"
}
] | 2022-09-07 | [
[
"Bhargava",
"Chinmaya",
""
],
[
"Buican",
"Matthew",
""
],
[
"Jiang",
"Hongliang",
""
]
] | Despite the power of supersymmetry, finding exact closed-form expressions for the protected operator spectra of interacting superconformal field theories (SCFTs) is difficult. In this paper, we take a step towards a solution for the "simplest" interacting 4D $\mathcal{N}=2$ SCFT: the minimal Argyres-Douglas (MAD) theor... |
hep-th/0305176 | Thomas Fischbacher | Thomas Fischbacher | Mapping the vacuum structure of gauged maximal supergravities: an
application of high-performance symbolic algebra | PhD thesis, 140 pages, 11 figures | null | null | AEI-2003-046 | hep-th cs.SC | null | The analysis of the extremal structure of the scalar potentials of gauged
maximally extended supergravity models in five, four, and three dimensions, and
hence the determination of possible vacuum states of these models is a
computationally challenging task due to the occurrence of the exceptional Lie
groups $E_6$, $... | [
{
"created": "Tue, 20 May 2003 13:42:15 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Fischbacher",
"Thomas",
""
]
] | The analysis of the extremal structure of the scalar potentials of gauged maximally extended supergravity models in five, four, and three dimensions, and hence the determination of possible vacuum states of these models is a computationally challenging task due to the occurrence of the exceptional Lie groups $E_6$, $E_... |
1401.4723 | Marc Schiereck | Min-xin Huang, Albrecht Klemm, Jonas Reuter, Marc Schiereck | Quantum geometry of del Pezzo surfaces in the Nekrasov-Shatashvili limit | 53 pages, 8 figures | null | 10.1007/JHEP02(2015)031 | USTC-ICTS-14-03, Bonn-TH-2014-02 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use mirror symmetry, quantum geometry and modularity properties of
elliptic curves to calculate the refined free energies in the
Nekrasov-Shatashvili limit on non-compact toric Calabi-Yau manifolds, based on
del Pezzo surfaces. Quantum geometry here is to be understood as a quantum
deformed version of rigid specia... | [
{
"created": "Sun, 19 Jan 2014 19:32:38 GMT",
"version": "v1"
}
] | 2015-06-18 | [
[
"Huang",
"Min-xin",
""
],
[
"Klemm",
"Albrecht",
""
],
[
"Reuter",
"Jonas",
""
],
[
"Schiereck",
"Marc",
""
]
] | We use mirror symmetry, quantum geometry and modularity properties of elliptic curves to calculate the refined free energies in the Nekrasov-Shatashvili limit on non-compact toric Calabi-Yau manifolds, based on del Pezzo surfaces. Quantum geometry here is to be understood as a quantum deformed version of rigid special ... |
2208.14710 | Fl\'ora Enik\H{o} G\'eg\'eny | F. G\'eg\'eny, S. Nagy, K. Sailer | On the Lorentz symmetry in conformally reduced Quantum Gravity | 11 pages, 7 figures | null | 10.1088/1361-6382/acafd1 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The functional renormalization group treatment of the conform reduced
Einstein-Hilbert gravity is extended by following the evolution of the time and
space derivatives separately, in order to consider the Lorentz symmetry during
the evolution. We found the Reuter fixed point in the ultraviolet region. It is
shown tha... | [
{
"created": "Wed, 31 Aug 2022 09:17:04 GMT",
"version": "v1"
}
] | 2023-02-01 | [
[
"Gégény",
"F.",
""
],
[
"Nagy",
"S.",
""
],
[
"Sailer",
"K.",
""
]
] | The functional renormalization group treatment of the conform reduced Einstein-Hilbert gravity is extended by following the evolution of the time and space derivatives separately, in order to consider the Lorentz symmetry during the evolution. We found the Reuter fixed point in the ultraviolet region. It is shown that ... |
hep-th/0005238 | Danuta Karczewska | D. Karczewska, R. Manka (University of Silesia) | Monopole in the dilatonic gauge field theory | latex4, 15 pages with 3 figures (eps), to appear in Austr. J. of
Phys. Vol. 53, 5 | Austral.J.Phys. 53 (2000) 5 | null | ; AstroUSL-2000-3 | hep-th | null | A numerical study of coupled to the dilaton field, static, spherically
symmetric monopole solutions inspired by the Kaluza-Klein theory with large
extra dimensions are presented. The generalized Prasad-Sommerfield solution is
obtained. We show that monopole may have also the dilaton cloud configurations.
| [
{
"created": "Thu, 25 May 2000 14:07:16 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Karczewska",
"D.",
"",
"University of Silesia"
],
[
"Manka",
"R.",
"",
"University of Silesia"
]
] | A numerical study of coupled to the dilaton field, static, spherically symmetric monopole solutions inspired by the Kaluza-Klein theory with large extra dimensions are presented. The generalized Prasad-Sommerfield solution is obtained. We show that monopole may have also the dilaton cloud configurations. |
1612.03169 | Angel Ballesteros | Angel Ballesteros, Francisco J. Herranz, Fabio Musso, Pedro Naranjo | The kappa-(A)dS quantum algebra in (3+1) dimensions | 13 pages | Phys. Lett. B 766 (2017) 205-211 | 10.1016/j.physletb.2017.01.020 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The quantum duality principle is used to obtain explicitly the Poisson
analogue of the kappa-(A)dS quantum algebra in (3+1) dimensions as the
corresponding Poisson-Lie structure on the dual solvable Lie group. The
construction is fully performed in a kinematical basis and deformed Casimir
functions are also explicitl... | [
{
"created": "Fri, 9 Dec 2016 11:39:38 GMT",
"version": "v1"
}
] | 2017-01-19 | [
[
"Ballesteros",
"Angel",
""
],
[
"Herranz",
"Francisco J.",
""
],
[
"Musso",
"Fabio",
""
],
[
"Naranjo",
"Pedro",
""
]
] | The quantum duality principle is used to obtain explicitly the Poisson analogue of the kappa-(A)dS quantum algebra in (3+1) dimensions as the corresponding Poisson-Lie structure on the dual solvable Lie group. The construction is fully performed in a kinematical basis and deformed Casimir functions are also explicitly ... |
2405.10189 | Vasileios Vergioglou | Anatoly Konechny, Vasileios Vergioglou | On fusing matrices associated with conformal boundary conditions | LaTex, 80 pages | null | null | null | hep-th math-ph math.CT math.MP | http://creativecommons.org/licenses/by/4.0/ | In the context of rational conformal field theories (RCFT) we look at the
fusing matrices that arise when a topological defect is attached to a conformal
boundary condition. We call such junctions open topological defects. One type
of fusing matrices arises when two open defects fuse while another arises when
an open... | [
{
"created": "Thu, 16 May 2024 15:33:13 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Jun 2024 12:14:12 GMT",
"version": "v2"
},
{
"created": "Fri, 12 Jul 2024 12:29:41 GMT",
"version": "v3"
}
] | 2024-07-15 | [
[
"Konechny",
"Anatoly",
""
],
[
"Vergioglou",
"Vasileios",
""
]
] | In the context of rational conformal field theories (RCFT) we look at the fusing matrices that arise when a topological defect is attached to a conformal boundary condition. We call such junctions open topological defects. One type of fusing matrices arises when two open defects fuse while another arises when an open d... |
hep-th/0007046 | null | Luca Mezincescu | Star Operation in Quantum Mechanics | misprints corrected, additional references | null | null | UMTG-233 | hep-th | null | We outline the description of Quantum Mechanics with noncommuting coordinates
within the framework of star operation. We discuss simple cases of
integrability.
| [
{
"created": "Thu, 6 Jul 2000 22:52:03 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Jul 2000 04:10:51 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Mezincescu",
"Luca",
""
]
] | We outline the description of Quantum Mechanics with noncommuting coordinates within the framework of star operation. We discuss simple cases of integrability. |
1410.2860 | Aram Saharian | E.R. Bezerra de Mello, A.A. Saharian, V. Vardanyan | Induced vacuum currents in anti-de Sitter space with toral dimensions | 15 pages, 4 figures | Phys. Lett. B 741 (2015) 155 | 10.1016/j.physletb.2014.12.036 | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the Hadamard function and the vacuum expectation value of the
current density for a charged massive scalar field on a slice of anti-de Sitter
(AdS) space described in Poincar\'{e} coordinates with toroidally compact
dimensions. Along compact dimensions periodicity conditions are imposed on the
field wi... | [
{
"created": "Wed, 24 Sep 2014 18:04:30 GMT",
"version": "v1"
}
] | 2014-12-31 | [
[
"de Mello",
"E. R. Bezerra",
""
],
[
"Saharian",
"A. A.",
""
],
[
"Vardanyan",
"V.",
""
]
] | We investigate the Hadamard function and the vacuum expectation value of the current density for a charged massive scalar field on a slice of anti-de Sitter (AdS) space described in Poincar\'{e} coordinates with toroidally compact dimensions. Along compact dimensions periodicity conditions are imposed on the field with... |
0708.4414 | Axel Krause | Axel Krause | Large Gravitational Waves and Lyth Bound in Multi Brane Inflation | 15 pages, 1 figure; v2: references added; v3: final version published
in JCAP | JCAP 0807:001,2008 | 10.1088/1475-7516/2008/07/001 | LMU-ASC 64/07 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is shown that multi M5-brane inflation in heterotic M-theory gives rise to
a detectable gravitational wave power spectrum with tensor fraction $r$
typically larger than the projected experimental sensitivity, $r_{exp} = 0.01$.
A measurable gravitational wave power spectrum entails a large inflationary
energy scale... | [
{
"created": "Fri, 31 Aug 2007 19:49:37 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Sep 2007 10:35:41 GMT",
"version": "v2"
},
{
"created": "Tue, 30 Sep 2008 11:14:00 GMT",
"version": "v3"
}
] | 2009-06-11 | [
[
"Krause",
"Axel",
""
]
] | It is shown that multi M5-brane inflation in heterotic M-theory gives rise to a detectable gravitational wave power spectrum with tensor fraction $r$ typically larger than the projected experimental sensitivity, $r_{exp} = 0.01$. A measurable gravitational wave power spectrum entails a large inflationary energy scale a... |
2010.07861 | Donal O'Connell | William T. Emond, Yu-tin Huang, Uri Kol, Nathan Moynihan and Donal
O'Connell | Amplitudes from Coulomb to Kerr-Taub-NUT | 35 pages + appendices, 2 figures. Mathematica notebook attached | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Electric-magnetic duality, the Newman-Janis shift, and the double copy all
act by elementary operations on three-point amplitudes. At the same time, they
generate a network of interesting classical solutions spanning from the Coulomb
charge via the dyon to the Kerr-Taub-NUT spacetime. We identify the amplitudes
corre... | [
{
"created": "Thu, 15 Oct 2020 16:26:41 GMT",
"version": "v1"
},
{
"created": "Sun, 18 Oct 2020 17:04:22 GMT",
"version": "v2"
}
] | 2020-10-20 | [
[
"Emond",
"William T.",
""
],
[
"Huang",
"Yu-tin",
""
],
[
"Kol",
"Uri",
""
],
[
"Moynihan",
"Nathan",
""
],
[
"O'Connell",
"Donal",
""
]
] | Electric-magnetic duality, the Newman-Janis shift, and the double copy all act by elementary operations on three-point amplitudes. At the same time, they generate a network of interesting classical solutions spanning from the Coulomb charge via the dyon to the Kerr-Taub-NUT spacetime. We identify the amplitudes corresp... |
2106.04851 | Yin Jiang | Tian Xu and Yin Jiang | Proca equation and vector field quantization in rotating system | 7 pages, 0 figures | null | 10.1088/1674-1137/ac1d9c | null | hep-th hep-ph nucl-th | http://creativecommons.org/licenses/by/4.0/ | A strong background field will change the vacuum structure and the proper
basis of a system drastically in both classical and quantum mechanics, e.g. the
Landau levels in a background magnetic field. The situation is the same for the
rotating case. In such a system the usual set of plane-wave states would no
longer b... | [
{
"created": "Wed, 9 Jun 2021 07:17:31 GMT",
"version": "v1"
}
] | 2021-11-17 | [
[
"Xu",
"Tian",
""
],
[
"Jiang",
"Yin",
""
]
] | A strong background field will change the vacuum structure and the proper basis of a system drastically in both classical and quantum mechanics, e.g. the Landau levels in a background magnetic field. The situation is the same for the rotating case. In such a system the usual set of plane-wave states would no longer be ... |
hep-th/0612222 | Niklas Johansson | Ulf H. Danielsson, Niklas Johansson and Magdalena Larfors | The world next door - Results in landscape topography | 27 pages latex, 19 figures | JHEP 0703:080,2007 | 10.1088/1126-6708/2007/03/080 | UITTP-23/06 | hep-th | null | Recently, it has become clear that neighboring multiple vacua might have
interesting consequences for the physics of the early universe. In this paper
we investigate the topography of the string landscape corresponding to complex
structure moduli of flux compactified type IIB string theory. We find that
series of con... | [
{
"created": "Wed, 20 Dec 2006 16:27:35 GMT",
"version": "v1"
}
] | 2010-10-27 | [
[
"Danielsson",
"Ulf H.",
""
],
[
"Johansson",
"Niklas",
""
],
[
"Larfors",
"Magdalena",
""
]
] | Recently, it has become clear that neighboring multiple vacua might have interesting consequences for the physics of the early universe. In this paper we investigate the topography of the string landscape corresponding to complex structure moduli of flux compactified type IIB string theory. We find that series of conti... |
hep-th/9609060 | Hasan Karadayi | H. R. Karadayi and M. Gungormez | An Explicit Construction of Casimir Operators and Eigenvalues : I | 14 pages, no figures, revised version, to appear in Jour.Math.Phys | J.Math.Phys. 38 (1997) 5976-5990 | 10.1063/1.532175 | itu-hep 96-01 | hep-th alg-geom math-ph math.AG math.MP | null | We give a general method to construct a complete set of linearly independent
Casimir operators of a Lie algebra with rank N. For a Casimir operator of
degree p, this will be provided by an explicit calculation of its symmetric
coefficients $ g^{A_1,A_2,.. A_p}$. It is seen that these coefficients can be
descibed by s... | [
{
"created": "Sat, 7 Sep 1996 15:06:49 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Sep 1996 15:05:09 GMT",
"version": "v2"
},
{
"created": "Fri, 10 Jan 1997 15:22:45 GMT",
"version": "v3"
},
{
"created": "Wed, 18 Jun 1997 13:15:19 GMT",
"version": "v4"
}
] | 2009-10-30 | [
[
"Karadayi",
"H. R.",
""
],
[
"Gungormez",
"M.",
""
]
] | We give a general method to construct a complete set of linearly independent Casimir operators of a Lie algebra with rank N. For a Casimir operator of degree p, this will be provided by an explicit calculation of its symmetric coefficients $ g^{A_1,A_2,.. A_p}$. It is seen that these coefficients can be descibed by som... |
2407.03698 | Hossein Babaei-Aghbolagh | H. Babaei-Aghbolagh, Song He, Hao Ouyang | Generalized $T\overline{T}$-like Deformations in Duality-Invariant
Nonlinear Electrodynamic Theories | 25 pages, 1 figure | null | null | null | hep-th | http://creativecommons.org/licenses/by-nc-sa/4.0/ | This study introduces a high-order perturbation methodology to categorize two
primary solution types within duality-invariant nonlinear electrodynamic
theories, adhering to the differential self-duality criterion. The first
solution type aligns with irrelevant stress tensor flows, resembling $T\bar{T}$
dynamics, and ... | [
{
"created": "Thu, 4 Jul 2024 07:38:10 GMT",
"version": "v1"
}
] | 2024-07-08 | [
[
"Babaei-Aghbolagh",
"H.",
""
],
[
"He",
"Song",
""
],
[
"Ouyang",
"Hao",
""
]
] | This study introduces a high-order perturbation methodology to categorize two primary solution types within duality-invariant nonlinear electrodynamic theories, adhering to the differential self-duality criterion. The first solution type aligns with irrelevant stress tensor flows, resembling $T\bar{T}$ dynamics, and th... |
hep-th/0104187 | Vladimir Akulov | V. Akulov | Non-linear way to Supersymmetry and N-extended SUSY | 9 pages | Nucl.Phys.Proc.Suppl.101:15-19,2001 | 10.1016/S0920-5632(01)01488-8 | null | hep-th | null | In this report I give the short historical review some of the first steps
that were done to the invention of SUSY in Kharkov team headed by D.Volkov.
This paper is dedicated to the memory of Prof. Yu. Gol'fand, whose ideas of
SUSY inspired the most active developments in High Energy Physics over thirty
years.
| [
{
"created": "Mon, 23 Apr 2001 13:08:38 GMT",
"version": "v1"
}
] | 2010-05-28 | [
[
"Akulov",
"V.",
""
]
] | In this report I give the short historical review some of the first steps that were done to the invention of SUSY in Kharkov team headed by D.Volkov. This paper is dedicated to the memory of Prof. Yu. Gol'fand, whose ideas of SUSY inspired the most active developments in High Energy Physics over thirty years. |
1509.01305 | Wen-Yu Wen | Wen-Yu Wen, Shang-Yu Wu | Black hole remnant in asymptotic Anti-de Sitter space | 13 pages, 5 figures, submitted version | Eur. Phys. J. C, 75 12 (2015) 608 | 10.1140/epjc/s10052-015-3841-7 | CYCU-HEP-15-06 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is known that a solution of remnant were suggested for black hole ground
state after surface gravity is corrected by loop quantum effect. On the other
hand, a Schwarzschild black hole in asymptotic Anti-de Sitter space would
tunnel into the thermal soliton solution known as the Hawking-Page phase
transition. In th... | [
{
"created": "Thu, 3 Sep 2015 23:02:45 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Dec 2015 15:51:31 GMT",
"version": "v2"
}
] | 2015-12-29 | [
[
"Wen",
"Wen-Yu",
""
],
[
"Wu",
"Shang-Yu",
""
]
] | It is known that a solution of remnant were suggested for black hole ground state after surface gravity is corrected by loop quantum effect. On the other hand, a Schwarzschild black hole in asymptotic Anti-de Sitter space would tunnel into the thermal soliton solution known as the Hawking-Page phase transition. In this... |
hep-th/9803169 | Oliver Haschke | Oliver Haschke, Werner Ruehl | Exactly solvable dynamical systems in the neighborhood of the Calogero
model | 23 pages, 2 figures, replaced and enlarged version | Int.J.Mod.Phys. A14 (1999) 387-408 | 10.1142/S0217751X99000191 | KL-TH 98-03 | hep-th | null | The Hamiltonian of the $N$-particle Calogero model can be expressed in terms
of generators of a Lie algebra for a definite class of representations.
Maintaining this Lie algebra, its representations, and the flatness of the
Riemannian metric belonging to the second order differential operator, the set
of all possible... | [
{
"created": "Fri, 20 Mar 1998 15:01:49 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Apr 1998 09:35:16 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Haschke",
"Oliver",
""
],
[
"Ruehl",
"Werner",
""
]
] | The Hamiltonian of the $N$-particle Calogero model can be expressed in terms of generators of a Lie algebra for a definite class of representations. Maintaining this Lie algebra, its representations, and the flatness of the Riemannian metric belonging to the second order differential operator, the set of all possible q... |
hep-th/9707178 | Tekin Dereli | A. H. Bilge, T. Dereli, S.Kocak | Seiberg-Witten Equations on R^8 | 7 pages, Latex file. No figures. Published in the Proceedings of 5th
Gokova Geometry-Topology Conference | Turk.J.Math.21:87-92,1997 | null | null | hep-th | null | We show that there are no nontrivial solutions of the Seiberg-Witten
equations on R^8 with constant standard spin^c structure.
| [
{
"created": "Mon, 21 Jul 1997 13:20:39 GMT",
"version": "v1"
}
] | 2011-04-20 | [
[
"Bilge",
"A. H.",
""
],
[
"Dereli",
"T.",
""
],
[
"Kocak",
"S.",
""
]
] | We show that there are no nontrivial solutions of the Seiberg-Witten equations on R^8 with constant standard spin^c structure. |
2105.12067 | Harriet Apel | Harriet Apel, Tamara Kohler, Toby Cubitt | Holographic duality between local Hamiltonians from random tensor
networks | 42 pages, 4 figures. v4: updated to published version, expanded
introduction and new figure demonstrating simulation composition | J. High Energ. Phys. 2022, 52 | 10.1007/JHEP03(2022)052 | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The AdS/CFT correspondence realises the holographic principle where
information in the bulk of a space is encoded at its border. We are yet a long
way from a full mathematical construction of AdS/CFT, but toy models in the
form of holographic quantum error correcting codes (HQECC) have replicated some
interesting fea... | [
{
"created": "Tue, 25 May 2021 16:48:31 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Jul 2021 07:27:16 GMT",
"version": "v2"
},
{
"created": "Thu, 9 Sep 2021 16:49:18 GMT",
"version": "v3"
},
{
"created": "Wed, 20 Apr 2022 13:06:30 GMT",
"version": "v4"
}
] | 2022-04-21 | [
[
"Apel",
"Harriet",
""
],
[
"Kohler",
"Tamara",
""
],
[
"Cubitt",
"Toby",
""
]
] | The AdS/CFT correspondence realises the holographic principle where information in the bulk of a space is encoded at its border. We are yet a long way from a full mathematical construction of AdS/CFT, but toy models in the form of holographic quantum error correcting codes (HQECC) have replicated some interesting featu... |
hep-th/0611257 | Orfeu Bertolami | Catarina Bastos, Orfeu Bertolami, Nuno Costa Dias, Jo\~ao Nuno Prata | Weyl-Wigner Formulation of Noncommutative Quantum Mechanics | Revtex4, 3 diagrams, 32 pages | J.Math.Phys.49:072101,2008 | 10.1063/1.2944996 | DM/IST-6.2006 | hep-th | null | We address the phase space formulation of a noncommutative extension of
quantum mechanics in arbitrary dimension, displaying both spatial and momentum
noncommutativity. By resorting to a covariant generalization of the Weyl-Wigner
transform and to the Seiberg-Witten map we construct an isomorphism between the
operato... | [
{
"created": "Thu, 23 Nov 2006 20:53:24 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Bastos",
"Catarina",
""
],
[
"Bertolami",
"Orfeu",
""
],
[
"Dias",
"Nuno Costa",
""
],
[
"Prata",
"João Nuno",
""
]
] | We address the phase space formulation of a noncommutative extension of quantum mechanics in arbitrary dimension, displaying both spatial and momentum noncommutativity. By resorting to a covariant generalization of the Weyl-Wigner transform and to the Seiberg-Witten map we construct an isomorphism between the operator ... |
1805.11627 | Ran Yacoby | Ran Yacoby | Scalar Correlators in Bosonic Chern-Simons Vector Models | 26 pages, 4 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the planar limit of Chern-Simons theories coupled to a scalar
$\phi$ in the fundamental representation of a $U(N)_k$ gauge group, at both the
regular and Wilson-Fisher conformal points. These theories have one
single-trace scalar operator $J_0=\phi^{\dagger}\phi$. We calculate its
connected planar $n$-poi... | [
{
"created": "Tue, 29 May 2018 18:00:18 GMT",
"version": "v1"
}
] | 2018-05-31 | [
[
"Yacoby",
"Ran",
""
]
] | We consider the planar limit of Chern-Simons theories coupled to a scalar $\phi$ in the fundamental representation of a $U(N)_k$ gauge group, at both the regular and Wilson-Fisher conformal points. These theories have one single-trace scalar operator $J_0=\phi^{\dagger}\phi$. We calculate its connected planar $n$-point... |
0707.4011 | Jonathan Heckman | Jonathan J. Heckman and Cumrun Vafa | Geometrically Induced Phase Transitions at Large N | 47 pages, 7 figures | JHEP0804:052,2008 | 10.1088/1126-6708/2008/04/052 | null | hep-th | null | Utilizing the large N dual description of a metastable system of branes and
anti-branes wrapping rigid homologous S^2's in a non-compact Calabi-Yau
threefold, we study phase transitions induced by changing the positions of the
S^2's. At leading order in 1/N the effective potential for this system is
computed by the p... | [
{
"created": "Fri, 27 Jul 2007 13:51:52 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Heckman",
"Jonathan J.",
""
],
[
"Vafa",
"Cumrun",
""
]
] | Utilizing the large N dual description of a metastable system of branes and anti-branes wrapping rigid homologous S^2's in a non-compact Calabi-Yau threefold, we study phase transitions induced by changing the positions of the S^2's. At leading order in 1/N the effective potential for this system is computed by the pla... |
1012.4393 | Daniel Thompson | Daniel C. Thompson | T-duality Invariant Approaches to String Theory | PhD Thesis; 148 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This thesis investigates the quantum properties of T-duality invariant
formalisms of String Theory. We introduce and review duality invariant
formalisms of String Theory including the Doubled Formalism. We calculate the
background field equations for the Doubled Formalism of Abelian T-duality and
show how they are co... | [
{
"created": "Mon, 20 Dec 2010 16:38:01 GMT",
"version": "v1"
}
] | 2010-12-21 | [
[
"Thompson",
"Daniel C.",
""
]
] | This thesis investigates the quantum properties of T-duality invariant formalisms of String Theory. We introduce and review duality invariant formalisms of String Theory including the Doubled Formalism. We calculate the background field equations for the Doubled Formalism of Abelian T-duality and show how they are cons... |
2107.10720 | Kiyoharu Kawana | Hikaru Kawai and Kiyoharu Kawana | Multi-critical point principle as the origin of classical conformality
and its generalizations | 23 pages, 4 figures; version to appear in PTEP (v2) | null | null | null | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | Multi-critical point principle (MPP) is one of the interesting theoretical
possibilities that can explain the fine-tuning problems of the Universe. It
simply claims that "the coupling constants of a theory are tuned to one of the
multi-critical points, where some of the extrema of the effective potential are
degenera... | [
{
"created": "Thu, 22 Jul 2021 14:53:41 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Jan 2022 05:52:39 GMT",
"version": "v2"
}
] | 2022-01-06 | [
[
"Kawai",
"Hikaru",
""
],
[
"Kawana",
"Kiyoharu",
""
]
] | Multi-critical point principle (MPP) is one of the interesting theoretical possibilities that can explain the fine-tuning problems of the Universe. It simply claims that "the coupling constants of a theory are tuned to one of the multi-critical points, where some of the extrema of the effective potential are degenerate... |
1905.03076 | Pietro Longhi | Wei Li and Pietro Longhi | Gluing two affine Yangians of $\mathfrak{gl}_1$ | 88 pages, 12 figures | null | 10.1007/JHEP10(2019)131 | null | hep-th math.QA math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a four-parameter family of affine Yangian algebras by gluing two
copies of the affine Yangian of $\mathfrak{gl}_1$. Our construction allows for
gluing operators with arbitrary (integer or half integer) conformal dimension
and arbitrary (bosonic or fermionic) statistics, which is related to the
relative f... | [
{
"created": "Wed, 8 May 2019 14:11:21 GMT",
"version": "v1"
}
] | 2020-01-08 | [
[
"Li",
"Wei",
""
],
[
"Longhi",
"Pietro",
""
]
] | We construct a four-parameter family of affine Yangian algebras by gluing two copies of the affine Yangian of $\mathfrak{gl}_1$. Our construction allows for gluing operators with arbitrary (integer or half integer) conformal dimension and arbitrary (bosonic or fermionic) statistics, which is related to the relative fra... |
1311.1105 | Sunyoung Shin | Sunyoung Shin | $T^3$ deformations and $\beta$-deformed geometries | 11 pages. Final version, incorporating the referee corrections | Phys. Rev. D 89, 065026 (2014) | 10.1103/PhysRevD.89.065026 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss $\beta$-deformed geometries on two types of $T^3$'s where the
direction along the third coordinate is not orthogonal to the direction along
the second coordinate or the direction along the first coordinate. We show that
the intersection angle between the direction along the third coordinate and the
directi... | [
{
"created": "Tue, 5 Nov 2013 16:07:23 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Mar 2014 18:36:37 GMT",
"version": "v2"
}
] | 2014-03-26 | [
[
"Shin",
"Sunyoung",
""
]
] | We discuss $\beta$-deformed geometries on two types of $T^3$'s where the direction along the third coordinate is not orthogonal to the direction along the second coordinate or the direction along the first coordinate. We show that the intersection angle between the direction along the third coordinate and the direction... |
hep-th/0502111 | Vijay Balasubramanian | Vijay Balasubramanian, Klaus Larjo, Joan Simon | Much Ado About Nothing | LaTeX, 26 pages, 3 eps figures | Class.Quant.Grav. 22 (2005) 4149-4170 | 10.1088/0264-9381/22/19/023 | UPR-1110-T | hep-th | null | We describe the semiclassical decay of a class of orbifolds of AdS space via
a bubble of nothing. The bounce is the small Euclidean AdS-Schwarzschild
solution. The negative cosmological constant introduces subtle features in the
conservation of energy during the decay. A near-horizon limit of D3-branes in
the Milne o... | [
{
"created": "Fri, 11 Feb 2005 19:15:48 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Balasubramanian",
"Vijay",
""
],
[
"Larjo",
"Klaus",
""
],
[
"Simon",
"Joan",
""
]
] | We describe the semiclassical decay of a class of orbifolds of AdS space via a bubble of nothing. The bounce is the small Euclidean AdS-Schwarzschild solution. The negative cosmological constant introduces subtle features in the conservation of energy during the decay. A near-horizon limit of D3-branes in the Milne orb... |
0902.1847 | Andrey Slavnov A | A.A.Slavnov | Lorentz invariant quantization of the Yang-Mills theory free of Gribov
ambiguity | 8 pages,no figures | Theor.Math.Phys.161:1497-1502,2009 | 10.1007/s11232-009-0136-x | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A new fomulation of the Yang-Mills theory which allows to avoid the problem
of Gribov ambiguity of the gauge fixing is proposed.
| [
{
"created": "Wed, 11 Feb 2009 10:55:31 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Slavnov",
"A. A.",
""
]
] | A new fomulation of the Yang-Mills theory which allows to avoid the problem of Gribov ambiguity of the gauge fixing is proposed. |
1208.2182 | Lorenzo Battarra | Lorenzo Battarra, George Lavrelashvili and Jean-Luc Lehners | Negative Modes of Oscillating Instantons | 21 pages, 7 figures | null | 10.1103/PhysRevD.86.124001 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate in detail the properties of oscillating instanton solutions
discussed recently in the literature. We find that the solutions with N nodes
contain exactly N homogeneous negative modes in their spectrum of linear
perturbations. The existence of extra negative modes for the N > 1 solutions
suggest that th... | [
{
"created": "Fri, 10 Aug 2012 14:12:37 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Nov 2012 15:31:03 GMT",
"version": "v2"
}
] | 2013-05-30 | [
[
"Battarra",
"Lorenzo",
""
],
[
"Lavrelashvili",
"George",
""
],
[
"Lehners",
"Jean-Luc",
""
]
] | We investigate in detail the properties of oscillating instanton solutions discussed recently in the literature. We find that the solutions with N nodes contain exactly N homogeneous negative modes in their spectrum of linear perturbations. The existence of extra negative modes for the N > 1 solutions suggest that they... |
2006.13234 | Andrea Placidi | Gianluca Grignani, Troels Harmark, Marta Orselli, Andrea Placidi | Fixing the non-relativistic expansion of the 1PM potential | 20 pages | null | 10.1007/JHEP12(2020)142 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We obtain a first order post-Minkowskian two-body effective potential whose
post-Newtonian expansion directly reproduces the Einstein-Infeld-Hoffmann
potential. Post-Minkowskian potentials can be extracted from on-shell
scattering amplitudes in a quantum field theory of scalar matter coupled to
gravity. Previously, s... | [
{
"created": "Tue, 23 Jun 2020 18:00:07 GMT",
"version": "v1"
}
] | 2021-02-03 | [
[
"Grignani",
"Gianluca",
""
],
[
"Harmark",
"Troels",
""
],
[
"Orselli",
"Marta",
""
],
[
"Placidi",
"Andrea",
""
]
] | We obtain a first order post-Minkowskian two-body effective potential whose post-Newtonian expansion directly reproduces the Einstein-Infeld-Hoffmann potential. Post-Minkowskian potentials can be extracted from on-shell scattering amplitudes in a quantum field theory of scalar matter coupled to gravity. Previously, suc... |
1008.3836 | Klaus Bering | Igor A. Batalin and Klaus Bering | Path Integral Formulation with Deformed Antibracket | 13 pages, LaTeX. v2: Added references. To appear in Phys. Lett. B | Phys.Lett.B694:158-166,2010 | 10.1016/j.physletb.2010.09.047 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose how to incorporate the Leites-Shchepochkina-Konstein-Tyutin
deformed antibracket into the quantum field-antifield formalism.
| [
{
"created": "Mon, 23 Aug 2010 15:24:26 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Sep 2010 15:32:10 GMT",
"version": "v2"
}
] | 2011-03-28 | [
[
"Batalin",
"Igor A.",
""
],
[
"Bering",
"Klaus",
""
]
] | We propose how to incorporate the Leites-Shchepochkina-Konstein-Tyutin deformed antibracket into the quantum field-antifield formalism. |
2011.14121 | Evgenii Ievlev | E. Ievlev | Dynamics of non-Abelian strings in supersymmetric gauge theories | 200 pages; PhD thesis, SPbSU and PNPI; English version, full text at
go.spbu.ru/20a2711 | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This thesis is devoted to studying strong coupling phenomena (and confinement
in particular) in supersymmetric gauge theories. The central object of
investigation is the non-Abelian string that is responsible for the
"instead-of-confinement" phase for monopoles in 4D ${\mathcal N} = 2$
supersymmetric QCD with the U($... | [
{
"created": "Sat, 28 Nov 2020 12:12:51 GMT",
"version": "v1"
}
] | 2020-12-01 | [
[
"Ievlev",
"E.",
""
]
] | This thesis is devoted to studying strong coupling phenomena (and confinement in particular) in supersymmetric gauge theories. The central object of investigation is the non-Abelian string that is responsible for the "instead-of-confinement" phase for monopoles in 4D ${\mathcal N} = 2$ supersymmetric QCD with the U($N$... |
hep-th/0212092 | Ishwaree P. Neupane | Ishwaree P. Neupane | Black hole entropy in string-generated gravity models | 5 pages, 3 figures, Physical Review D (Rapid Communication) version | Phys.Rev. D67 (2003) 061501 | 10.1103/PhysRevD.67.061501 | null | hep-th | null | The Euclidean action and entropy are computed in string-generated gravity
models with quadratic curvatures, and used to argue that a negative mass
extremal metric is the background for hyperbolic (k=-1) black hole spacetimes,
k being the curvature constant of the event horizon. The entropy associated
with a black hol... | [
{
"created": "Mon, 9 Dec 2002 08:53:26 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Dec 2002 08:47:29 GMT",
"version": "v2"
},
{
"created": "Mon, 17 Feb 2003 15:29:08 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Neupane",
"Ishwaree P.",
""
]
] | The Euclidean action and entropy are computed in string-generated gravity models with quadratic curvatures, and used to argue that a negative mass extremal metric is the background for hyperbolic (k=-1) black hole spacetimes, k being the curvature constant of the event horizon. The entropy associated with a black hole ... |
2210.02802 | Hong-Da Lyu | Yan Liu, Hong-Da Lyu and Jun-Kun Zhao | Properties of gapped systems in AdS/BCFT | 36 pages, 17 figures, published version | Phys.Rev.D 107 (2023) 6, 066017 | 10.1103/PhysRevD.107.066017 | null | hep-th cond-mat.str-el | http://creativecommons.org/licenses/by/4.0/ | We study the conductivities and entanglement structures of two different
holographic gapped systems at zero density in the presence of boundaries within
AdS/BCFT. The first gapped system is described by the Einstein-scalar gravity
and the second one is the dual of AdS soliton geometry. We show that in both
these two ... | [
{
"created": "Thu, 6 Oct 2022 10:27:32 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Mar 2023 09:52:19 GMT",
"version": "v2"
}
] | 2023-03-27 | [
[
"Liu",
"Yan",
""
],
[
"Lyu",
"Hong-Da",
""
],
[
"Zhao",
"Jun-Kun",
""
]
] | We study the conductivities and entanglement structures of two different holographic gapped systems at zero density in the presence of boundaries within AdS/BCFT. The first gapped system is described by the Einstein-scalar gravity and the second one is the dual of AdS soliton geometry. We show that in both these two sy... |
1407.1048 | Francisco Pedro | Michele Cicoli, Sean Downes, Bhaskar Dutta, Francisco G. Pedro and
Alexander Westphal | Just enough inflation: power spectrum modifications at large scales | 31 pages, 13 figures | null | 10.1088/1475-7516/2014/12/030 | DESY-14-117 | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that models of `just enough' inflation, where the slow-roll evolution
lasted only $50-60$ e-foldings, feature modifications of the CMB power spectrum
at large angular scales. We perform a systematic and model-independent analysis
of any possible non-slow-roll background evolution prior to the final stage of
s... | [
{
"created": "Thu, 3 Jul 2014 20:00:06 GMT",
"version": "v1"
}
] | 2015-06-22 | [
[
"Cicoli",
"Michele",
""
],
[
"Downes",
"Sean",
""
],
[
"Dutta",
"Bhaskar",
""
],
[
"Pedro",
"Francisco G.",
""
],
[
"Westphal",
"Alexander",
""
]
] | We show that models of `just enough' inflation, where the slow-roll evolution lasted only $50-60$ e-foldings, feature modifications of the CMB power spectrum at large angular scales. We perform a systematic and model-independent analysis of any possible non-slow-roll background evolution prior to the final stage of slo... |
2012.15780 | Jaroslav Trnka | Jaroslav Trnka | Towards the Gravituhedron: New Expressions for NMHV Gravity Amplitudes | 72 pages, 50 figures | null | 10.1007/JHEP04(2021)253 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we present new expressions for n-point NMHV tree-level gravity
amplitudes. We introduce a method of factorization diagrams which is a simple
graphical representation of R-invariants in Yang-Mills theory. We define the
gravity analogues which we call G-invariants, and expand the NMHV gravity
amplitudes ... | [
{
"created": "Thu, 31 Dec 2020 17:59:34 GMT",
"version": "v1"
}
] | 2021-05-12 | [
[
"Trnka",
"Jaroslav",
""
]
] | In this paper, we present new expressions for n-point NMHV tree-level gravity amplitudes. We introduce a method of factorization diagrams which is a simple graphical representation of R-invariants in Yang-Mills theory. We define the gravity analogues which we call G-invariants, and expand the NMHV gravity amplitudes in... |
2004.01391 | James Edwards Prof | Naser Ahmadiniaz, Victor Miguel Banda Guzman, Fiorenzo Bastianelli,
Olindo Corradini, James P. Edwards and Christian Schubert | Worldline master formulas for the dressed electron propagator, part 1:
Off-shell amplitudes | 50 pages, 4 figures | null | 10.1007/JHEP08(2020)018 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the first-quantised worldline approach to quantum field theory, a
long-standing problem has been to extend this formalism to amplitudes involving
open fermion lines while maintaining the efficiency of the well-tested
closed-loop case. In the present series of papers, we develop a suitable
formalism for the case of... | [
{
"created": "Fri, 3 Apr 2020 06:14:12 GMT",
"version": "v1"
}
] | 2020-08-26 | [
[
"Ahmadiniaz",
"Naser",
""
],
[
"Guzman",
"Victor Miguel Banda",
""
],
[
"Bastianelli",
"Fiorenzo",
""
],
[
"Corradini",
"Olindo",
""
],
[
"Edwards",
"James P.",
""
],
[
"Schubert",
"Christian",
""
]
] | In the first-quantised worldline approach to quantum field theory, a long-standing problem has been to extend this formalism to amplitudes involving open fermion lines while maintaining the efficiency of the well-tested closed-loop case. In the present series of papers, we develop a suitable formalism for the case of q... |
hep-th/9312100 | Yasui Yukinori | Yukinori Yasui and Satoshi Takahashi | Unstable geodesics and topological field theory | 28 pages, OCU-151 | J.Math.Phys. 35 (1994) 4547-4567 | 10.1063/1.530803 | null | hep-th | null | A topological field theory is used to study the cohomology of mapping space.
The cohomology is identified with the BRST cohomology realizing the physical
Hilbert space and the coboundary operator given by the calculations of
tunneling between the perturbative vacua. Our method is illustrated by a simple
example.
| [
{
"created": "Mon, 13 Dec 1993 11:43:06 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Yasui",
"Yukinori",
""
],
[
"Takahashi",
"Satoshi",
""
]
] | A topological field theory is used to study the cohomology of mapping space. The cohomology is identified with the BRST cohomology realizing the physical Hilbert space and the coboundary operator given by the calculations of tunneling between the perturbative vacua. Our method is illustrated by a simple example. |
1905.09030 | Juan Mateos Guilarte | A. Alonso-Izquierdo, R. Fresneda, J. Mateos Guilarte, D. Vassilevich | Soliton Fermionic number from the heat kernel expansion | LaTex file, 20 pages, 1 Figure, One Reference added | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider different methods of calculating the (fractional) fermion number
of solitons based on the heat kernel expansion. We derive a formula for the
localized eta function a more systematic version of the derivative expansion
for spectral assymmetry and that provides a more systematic version of the
derivative ex... | [
{
"created": "Wed, 22 May 2019 09:11:24 GMT",
"version": "v1"
},
{
"created": "Mon, 27 May 2019 15:21:09 GMT",
"version": "v2"
}
] | 2019-05-28 | [
[
"Alonso-Izquierdo",
"A.",
""
],
[
"Fresneda",
"R.",
""
],
[
"Guilarte",
"J. Mateos",
""
],
[
"Vassilevich",
"D.",
""
]
] | We consider different methods of calculating the (fractional) fermion number of solitons based on the heat kernel expansion. We derive a formula for the localized eta function a more systematic version of the derivative expansion for spectral assymmetry and that provides a more systematic version of the derivative expa... |
1405.3959 | Toshifumi Noumi | Anupam Mazumdar, Toshifumi Noumi, Masahide Yamaguchi | Dynamical breaking of shift-symmetry in supergravity-based inflation | 8 pages, no figure; v2: minor revision, estimation of the inflaton
potential is corrected; v3: minor revision, published version, title is
changed | Phys. Rev. D 90, 043519 (2014) | 10.1103/PhysRevD.90.043519 | RIKEN-MP-89 | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Shift-symmetry is essential to protect the flatness of the potential, even
beyond the super-Planckian vacuum expectation value (VEV) for an inflaton
field. The breaking of the shift-symmetry can yield potentials suitable for
super-Planckian excursion of the inflaton. The aim of this paper is to
illustrate that it is ... | [
{
"created": "Thu, 15 May 2014 19:31:10 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Jun 2014 04:08:12 GMT",
"version": "v2"
},
{
"created": "Fri, 3 Oct 2014 08:10:23 GMT",
"version": "v3"
}
] | 2014-10-06 | [
[
"Mazumdar",
"Anupam",
""
],
[
"Noumi",
"Toshifumi",
""
],
[
"Yamaguchi",
"Masahide",
""
]
] | Shift-symmetry is essential to protect the flatness of the potential, even beyond the super-Planckian vacuum expectation value (VEV) for an inflaton field. The breaking of the shift-symmetry can yield potentials suitable for super-Planckian excursion of the inflaton. The aim of this paper is to illustrate that it is in... |
hep-th/0101117 | Amit Ghosh | Olaf Dreyer, Amit Ghosh and Jacek Wisniewski | Black hole entropy calculations based on symmetries | 14 pages, Latex, CGPG-01/1-1 | Class.Quant.Grav. 18 (2001) 1929-1938 | 10.1088/0264-9381/18/10/308 | null | hep-th gr-qc | null | Symmetry based approaches to the black hole entropy problem have a number of
attractive features; in particular they are very general and do not depend on
the details of the quantization method. However we point out that, of the two
available approaches, one faces conceptual problems (also emphasized by
others), whil... | [
{
"created": "Wed, 17 Jan 2001 21:58:02 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Dreyer",
"Olaf",
""
],
[
"Ghosh",
"Amit",
""
],
[
"Wisniewski",
"Jacek",
""
]
] | Symmetry based approaches to the black hole entropy problem have a number of attractive features; in particular they are very general and do not depend on the details of the quantization method. However we point out that, of the two available approaches, one faces conceptual problems (also emphasized by others), while ... |
0803.2946 | Mokhtar Hassaine | Mokhtar Hassaine and Cristian Martinez | Higher-dimensional charged black holes solutions with a nonlinear
electrodynamics source | 7 pages. Minor corrections and references added | Class.Quant.Grav.25:195023,2008 | 10.1088/0264-9381/25/19/195023 | CECS-PHY-06/25 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We obtain electrically charged black hole solutions of the Einstein equations
in arbitrary dimensions with a nonlinear electrodynamics source. The matter
source is deriving from a Lagrangian given by an arbitrary power of the Maxwell
invariant. The form of the general solution suggests a natural partition for
the dif... | [
{
"created": "Thu, 20 Mar 2008 09:19:29 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Aug 2008 18:35:54 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Hassaine",
"Mokhtar",
""
],
[
"Martinez",
"Cristian",
""
]
] | We obtain electrically charged black hole solutions of the Einstein equations in arbitrary dimensions with a nonlinear electrodynamics source. The matter source is deriving from a Lagrangian given by an arbitrary power of the Maxwell invariant. The form of the general solution suggests a natural partition for the diffe... |
hep-th/9810005 | Galliano Valent | Evgeny Ivanov, Galliano Valent | Harmonic Space Construction of the Quaternionic Taub-NUT metric | 20 pages, Latex2e, no figures, a minor change in the conclusion | Class.Quant.Grav. 16 (1999) 1039-1056 | 10.1088/0264-9381/16/3/030 | JINR E2-98-249, LPTHE 98-44 | hep-th gr-qc | null | We present details of the harmonic space construction of a quaternionic
extension of the four-dimensional Taub-NUT metric. As the main merit of the
harmonic space approach, the metric is obtained in an explicit form following a
generic set of rules. It exhibits $SU(2)\times U(1)$ isometry group and depends
on two par... | [
{
"created": "Thu, 1 Oct 1998 12:42:04 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Oct 1998 14:19:29 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Ivanov",
"Evgeny",
""
],
[
"Valent",
"Galliano",
""
]
] | We present details of the harmonic space construction of a quaternionic extension of the four-dimensional Taub-NUT metric. As the main merit of the harmonic space approach, the metric is obtained in an explicit form following a generic set of rules. It exhibits $SU(2)\times U(1)$ isometry group and depends on two param... |
hep-th/9806203 | Steven Corley | S. Corley and T. Jacobson | Black hole lasers | RevTex, 13 pages, 4 eps figures; minor corrections, final version to
be published in Phys. Rev. D | Phys. Rev. D 59, 124011 (1999) | 10.1103/PhysRevD.59.124011 | null | hep-th gr-qc | null | High frequency dispersion does not alter the low frequency spectrum of
Hawking radiation from a single black hole horizon, whether the dispersion
entails subluminal or superluminal group velocities. We show here that in the
presence of an inner horizon as well as an outer horizon the superluminal case
differs dramati... | [
{
"created": "Wed, 24 Jun 1998 17:57:12 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Dec 1998 18:16:17 GMT",
"version": "v2"
},
{
"created": "Mon, 15 Feb 1999 21:41:50 GMT",
"version": "v3"
}
] | 2016-08-25 | [
[
"Corley",
"S.",
""
],
[
"Jacobson",
"T.",
""
]
] | High frequency dispersion does not alter the low frequency spectrum of Hawking radiation from a single black hole horizon, whether the dispersion entails subluminal or superluminal group velocities. We show here that in the presence of an inner horizon as well as an outer horizon the superluminal case differs dramatica... |
1302.0798 | Stefano Bellucci | Stefano Bellucci and Vahagn Yeghikyan | The Coulomb problem on a 3-sphere and Heun polynomials | 8 pages, PACS 03.65.-w, 02.30.Ik, 14.80.Hv; typo in eqs. (9) and (12)
corrected | null | 10.1063/1.4817487 | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The paper studies the quantum mechanical Coulomb problem on a 3-sphere. We
present a special parametrization of the ellipto-spheroidal coordinate system
suitable for the separation of variables. After quantization we get the
explicit form of the spectrum and present an algebraic equation for the
eigenvalues of the Ru... | [
{
"created": "Mon, 4 Feb 2013 18:53:17 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Feb 2013 17:07:51 GMT",
"version": "v2"
},
{
"created": "Mon, 11 Feb 2013 09:39:48 GMT",
"version": "v3"
}
] | 2015-06-12 | [
[
"Bellucci",
"Stefano",
""
],
[
"Yeghikyan",
"Vahagn",
""
]
] | The paper studies the quantum mechanical Coulomb problem on a 3-sphere. We present a special parametrization of the ellipto-spheroidal coordinate system suitable for the separation of variables. After quantization we get the explicit form of the spectrum and present an algebraic equation for the eigenvalues of the Rung... |
1507.07434 | Kofinas Georgios | Georgios Kofinas | Hyperscaling violating black holes in scalar-torsion theories | Version to appear in Phys. Rev. D | Phys. Rev. D 92, 084022 (2015) | 10.1103/PhysRevD.92.084022 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a gravity theory where a scalar field with potential, beyond its
minimal coupling, is also coupled through a non-minimal derivative coupling
with the torsion scalar which is the teleparallel equivalent of Einstein
gravity. This theory provides second order equations of motion and we find
large-distance non-p... | [
{
"created": "Mon, 27 Jul 2015 15:02:58 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Sep 2015 20:33:44 GMT",
"version": "v2"
}
] | 2015-10-14 | [
[
"Kofinas",
"Georgios",
""
]
] | We study a gravity theory where a scalar field with potential, beyond its minimal coupling, is also coupled through a non-minimal derivative coupling with the torsion scalar which is the teleparallel equivalent of Einstein gravity. This theory provides second order equations of motion and we find large-distance non-per... |
2202.09837 | Michele Santagata | J. M. Drummond, R. Glew, M. Santagata | BCJ relations in ${AdS}_5 \times S^3$ and the double-trace spectrum of
super gluons | 9 pages | null | 10.1103/PhysRevD.107.L081901 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit the four-point function of super gluons in $AdS_5 \times S^3$ in
the spirit of the large $p$ formalism and show how the integrand of a
generalised Mellin transform satisfies various non-trivial properties such as
$U(1)$ decoupling identity, BCJ relations and colour-kinematic duality, in a
way that directly... | [
{
"created": "Sun, 20 Feb 2022 15:30:44 GMT",
"version": "v1"
}
] | 2023-04-19 | [
[
"Drummond",
"J. M.",
""
],
[
"Glew",
"R.",
""
],
[
"Santagata",
"M.",
""
]
] | We revisit the four-point function of super gluons in $AdS_5 \times S^3$ in the spirit of the large $p$ formalism and show how the integrand of a generalised Mellin transform satisfies various non-trivial properties such as $U(1)$ decoupling identity, BCJ relations and colour-kinematic duality, in a way that directly m... |
hep-th/9305001 | Lev Vaidman | Yakir Aharonov and Lev Vaidman | The Schrodinger Wave is Observable after All! | 8, TAUP 2020-93# | null | null | null | hep-th | null | It is shown that it is possible to measure the Schr\"odinger wave of a single
quantum system. This provides a strong argument for associating physical
reality with a quantum state of a single system in sharp contrast with the
usual approach in which the physical meaning of a quantum state is related only
to an ensemb... | [
{
"created": "Mon, 3 May 1993 07:19:48 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Aharonov",
"Yakir",
""
],
[
"Vaidman",
"Lev",
""
]
] | It is shown that it is possible to measure the Schr\"odinger wave of a single quantum system. This provides a strong argument for associating physical reality with a quantum state of a single system in sharp contrast with the usual approach in which the physical meaning of a quantum state is related only to an ensemble... |
2007.03693 | Timothy Cohen | Timothy Cohen and Daniel Green | Soft de Sitter Effective Theory | 51 pages + appendix + references, 31 footnotes | null | 10.1007/JHEP12(2020)041 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Calculating the quantum evolution of a de Sitter universe on superhorizon
scales is notoriously difficult. To address this challenge, we introduce the
Soft de Sitter Effective Theory (SdSET). This framework holds for superhorizon
modes whose comoving momentum is far below the UV scale, which is set by the
inverse com... | [
{
"created": "Tue, 7 Jul 2020 18:00:02 GMT",
"version": "v1"
}
] | 2020-12-30 | [
[
"Cohen",
"Timothy",
""
],
[
"Green",
"Daniel",
""
]
] | Calculating the quantum evolution of a de Sitter universe on superhorizon scales is notoriously difficult. To address this challenge, we introduce the Soft de Sitter Effective Theory (SdSET). This framework holds for superhorizon modes whose comoving momentum is far below the UV scale, which is set by the inverse comov... |
1508.01536 | Alfredo Herrera-Aguilar | A. Herrera-Aguilar and J.E. Paschalis | Towards the quantization of the non-relativistic D2-brane in the Pure
Spinor Formalism | 23 pages in latex, no figures; discussion added, some typos
corrected, more references added | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An attempt is made to apply the pure spinor formalism to the non-relativistic
IIA D2-brane. The fermionic constraints corresponding to the rescaled fermionic
coordinates are given. Two commuting spinor fields are introduced, each one
corresponding to a fermionic constraint. A BRST charge is constructed via the
ansatz... | [
{
"created": "Thu, 6 Aug 2015 20:35:12 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Sep 2015 02:45:45 GMT",
"version": "v2"
},
{
"created": "Wed, 5 Jun 2019 17:11:00 GMT",
"version": "v3"
}
] | 2019-06-06 | [
[
"Herrera-Aguilar",
"A.",
""
],
[
"Paschalis",
"J. E.",
""
]
] | An attempt is made to apply the pure spinor formalism to the non-relativistic IIA D2-brane. The fermionic constraints corresponding to the rescaled fermionic coordinates are given. Two commuting spinor fields are introduced, each one corresponding to a fermionic constraint. A BRST charge is constructed via the ansatz p... |
hep-th/9808088 | null | R. Kallosh and A.A. Tseytlin | Simplifying superstring action on AdS_5 x S^5 | 15 pages, latex. Minor changes, references added | JHEP 9810:016,1998 | 10.1088/1126-6708/1998/10/016 | SU-ITP-98/49, Imperial/TP/97-98/65 | hep-th | null | Type IIB string action on AdS_5 x S^5 constructed in hep-th/9805028 is put
into a form where it becomes quadratic in fermions. This is achieved by
performing 2-d duality (T-duality) on the action in which kappa-symmetry was
fixed in the Killing gauge in hep-th/9808038. We discuss some properties and
possible applicat... | [
{
"created": "Fri, 14 Aug 1998 19:36:00 GMT",
"version": "v1"
},
{
"created": "Sun, 16 Aug 1998 18:09:51 GMT",
"version": "v2"
},
{
"created": "Thu, 27 Aug 1998 11:39:27 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Kallosh",
"R.",
""
],
[
"Tseytlin",
"A. A.",
""
]
] | Type IIB string action on AdS_5 x S^5 constructed in hep-th/9805028 is put into a form where it becomes quadratic in fermions. This is achieved by performing 2-d duality (T-duality) on the action in which kappa-symmetry was fixed in the Killing gauge in hep-th/9808038. We discuss some properties and possible applicatio... |
1702.00038 | Philip Phillips | Gabriele La Nave and Philip Phillips | Exact Form of Boundary Operators Dual to Interacting Bulk Scalar Fields
in the AdS/CFT Correspondence | The new submission has an extended discussion of the
Caffarelli/Silvestre extension theorem and its application to the AdS/CFT
correspondence | null | null | null | hep-th cond-mat.str-el math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using holographic renormalization coupled with the
Caffarelli/Silvestre\cite{caffarelli} extension theorem, we calculate the
precise form of the boundary operator dual to a bulk scalar field rather than
just its average value. We show that even in the presence of interactions in
the bulk, the boundary operator dual t... | [
{
"created": "Tue, 31 Jan 2017 20:00:46 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Apr 2017 23:00:05 GMT",
"version": "v2"
}
] | 2017-04-24 | [
[
"La Nave",
"Gabriele",
""
],
[
"Phillips",
"Philip",
""
]
] | Using holographic renormalization coupled with the Caffarelli/Silvestre\cite{caffarelli} extension theorem, we calculate the precise form of the boundary operator dual to a bulk scalar field rather than just its average value. We show that even in the presence of interactions in the bulk, the boundary operator dual to ... |
1408.2459 | Song He | Yuntao Bai, Song He | The Amplituhedron from Momentum Twistor Diagrams | 39 pages, 34 figures | null | 10.1007/JHEP02(2015)065 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a new diagrammatic formulation of the all-loop scattering
amplitudes/Wilson loops in planar N=4 SYM, dubbed the "momentum-twistor
diagrams". These are on-shell-diagrams obtained by gluing trivalent black and
white vertices defined in momentum twistor space, which, in the reduced diagram
case, are known to ... | [
{
"created": "Mon, 11 Aug 2014 16:18:04 GMT",
"version": "v1"
}
] | 2015-06-22 | [
[
"Bai",
"Yuntao",
""
],
[
"He",
"Song",
""
]
] | We propose a new diagrammatic formulation of the all-loop scattering amplitudes/Wilson loops in planar N=4 SYM, dubbed the "momentum-twistor diagrams". These are on-shell-diagrams obtained by gluing trivalent black and white vertices defined in momentum twistor space, which, in the reduced diagram case, are known to be... |
1401.8063 | Urjit A. Yajnik | Urjit A. Yajnik, Sasmita Mishra, Debasish Borah | Spontaneous parity breaking with broken supersymmetry : cosmological
constraint | to appear in the proceedings of The 10th International Symposium on
Cosmology and Particle Astrophysics (CosPA2013). Covers some of the material
included in the proceedings of Eleventh Conference on the Intersections of
Particle and Nuclear Physics, (CIPANP 2012) | null | null | IITB-PHY-TH-1401 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Unified models incorporating the right handed neutrino in a symmetric way
generically possess parity symmetry. If this is broken spontaneously it results
in the formation of domain walls in the early Universe, whose persistence is
unwanted. A generic mechanism for destabilisation of such walls is a small
pressure dif... | [
{
"created": "Fri, 31 Jan 2014 05:14:36 GMT",
"version": "v1"
}
] | 2014-02-03 | [
[
"Yajnik",
"Urjit A.",
""
],
[
"Mishra",
"Sasmita",
""
],
[
"Borah",
"Debasish",
""
]
] | Unified models incorporating the right handed neutrino in a symmetric way generically possess parity symmetry. If this is broken spontaneously it results in the formation of domain walls in the early Universe, whose persistence is unwanted. A generic mechanism for destabilisation of such walls is a small pressure diffe... |
1908.11347 | Jorge Russo | G. Arias-Tamargo, D. Rodriguez-Gomez and J.G. Russo | The large charge limit of scalar field theories and the Wilson-Fisher
fixed point at $\epsilon=0$ | 14 pages | null | 10.1007/JHEP10(2019)201 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the sector of large charge operators $\phi^n$ ($\phi$ being the
complexified scalar field) in the $O(2)$ Wilson-Fisher fixed point in
$4-\epsilon$ dimensions that emerges when the coupling takes the critical value
$g\sim \epsilon$. We show that, in the limit $g\to 0$, when the theory naively
approaches the g... | [
{
"created": "Thu, 29 Aug 2019 16:53:49 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Sep 2019 15:09:40 GMT",
"version": "v2"
},
{
"created": "Wed, 30 Oct 2019 15:40:26 GMT",
"version": "v3"
}
] | 2020-01-08 | [
[
"Arias-Tamargo",
"G.",
""
],
[
"Rodriguez-Gomez",
"D.",
""
],
[
"Russo",
"J. G.",
""
]
] | We study the sector of large charge operators $\phi^n$ ($\phi$ being the complexified scalar field) in the $O(2)$ Wilson-Fisher fixed point in $4-\epsilon$ dimensions that emerges when the coupling takes the critical value $g\sim \epsilon$. We show that, in the limit $g\to 0$, when the theory naively approaches the gau... |
hep-th/0308204 | Boris Zupnik | B.M. Zupnik | N=4 Multiplets in N=3 Harmonic Superspace | Latex file, 16 pages | Theor.Math.Phys. 140 (2004) 1121-1134; Teor.Mat.Fiz. 140 (2004)
269-283 | 10.1023/B:TAMP.0000036542.47378.ba | null | hep-th | null | It is shown that the N=3 harmonic-superfield equations of motion are
invariant with respect to the 4-th supersymmetry. The SU(3) harmonics are also
used to analyze a more flexible form of superfield constraints for the Abelian
N=4 vector multiplet and its N=3 decomposition. An alternative unusual
representation of th... | [
{
"created": "Fri, 29 Aug 2003 09:25:39 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Zupnik",
"B. M.",
""
]
] | It is shown that the N=3 harmonic-superfield equations of motion are invariant with respect to the 4-th supersymmetry. The SU(3) harmonics are also used to analyze a more flexible form of superfield constraints for the Abelian N=4 vector multiplet and its N=3 decomposition. An alternative unusual representation of the ... |
1704.00321 | Christos Ragiadakos | C. N. Ragiadakos | Pseudo-Conformal Field Theory | null | null | null | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The fundamental structure of the 4-dimensional spacetime is assumed to be the
lorentzian CR-structure (LCR-structure), which contains two correlated
3-dimensional CR-structures. It is defined by explicit Frobenius integrable
relations characterized by "left" and "right" CP(3) points. This LCR-structure
is invariant u... | [
{
"created": "Sun, 2 Apr 2017 16:08:03 GMT",
"version": "v1"
},
{
"created": "Sun, 27 Aug 2017 08:38:52 GMT",
"version": "v2"
},
{
"created": "Mon, 19 Feb 2024 05:16:24 GMT",
"version": "v3"
}
] | 2024-02-20 | [
[
"Ragiadakos",
"C. N.",
""
]
] | The fundamental structure of the 4-dimensional spacetime is assumed to be the lorentzian CR-structure (LCR-structure), which contains two correlated 3-dimensional CR-structures. It is defined by explicit Frobenius integrable relations characterized by "left" and "right" CP(3) points. This LCR-structure is invariant und... |
hep-th/9607109 | Mironov | A.Marshakov, A.Mironov and A.Morozov | WDVV-like equations in N=2 SUSY Yang-Mills Theory | 15 pages, LaTeX, no figures | Phys.Lett. B389 (1996) 43-52 | 10.1016/S0370-2693(96)01231-2 | ITEP/TH-22/96, FIAN/TD-10/96 | hep-th | null | The prepotential $F(a_i)$, defining the low-energy effective action of the
$SU(N)$ ${\cal N}=2$ SUSY Yang-Mills theories, satisfies an enlarged set of the
WDVV-like equations $F_iF_k^{-1}F_j = F_jF_k^{-1}F_i$ for any triple $i,j,k =
1,\ldots,N-1$, where matrix $F_i$ is equal to $(F_i)_{mn} = \partial^3
F/\partial a_i... | [
{
"created": "Sun, 14 Jul 1996 23:06:04 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Marshakov",
"A.",
""
],
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
]
] | The prepotential $F(a_i)$, defining the low-energy effective action of the $SU(N)$ ${\cal N}=2$ SUSY Yang-Mills theories, satisfies an enlarged set of the WDVV-like equations $F_iF_k^{-1}F_j = F_jF_k^{-1}F_i$ for any triple $i,j,k = 1,\ldots,N-1$, where matrix $F_i$ is equal to $(F_i)_{mn} = \partial^3 F/\partial a_i\p... |
1501.00603 | Zaim Slimane | Slimane Zaim | Anisotropic universe space-time non-commutativity and scalar particle
creation in the presence of a constant electric field | 13 pages, No figures | ROm. Journ. Phys., Number 5-6, Volume 61,P.743-754, 2016 | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the effect of the non-commutativity on the creation of scalar
particles from vacuum in the anisotropic universe space-time. We derive the
deformed Klein-Gordon equation up to second order in the non-commutativity
parameter using the general modified field equation. Then the canonical method
based on Bogoliub... | [
{
"created": "Sat, 3 Jan 2015 20:40:36 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Zaim",
"Slimane",
""
]
] | We study the effect of the non-commutativity on the creation of scalar particles from vacuum in the anisotropic universe space-time. We derive the deformed Klein-Gordon equation up to second order in the non-commutativity parameter using the general modified field equation. Then the canonical method based on Bogoliubov... |
2106.03889 | Diptarka Das | Diptarka Das, Shouvik Datta | Higher spin wormholes from modular bootstrap | 31 pages, 2 figures, matches published version | JHEP 2021, 10 (2021) | 10.1007/JHEP10(2021)010 | CERN-TH-2021-085 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the connection between spacetime wormholes and ensemble
averaging in the context of higher spin AdS$_3$/CFT$_2$. Using techniques from
modular bootstrap combined with some holographic inputs, we evaluate the
partition function of a Euclidean wormhole in AdS$_3$ higher spin gravity. The
fixed spin secto... | [
{
"created": "Mon, 7 Jun 2021 18:07:48 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Oct 2021 01:41:30 GMT",
"version": "v2"
}
] | 2021-10-08 | [
[
"Das",
"Diptarka",
""
],
[
"Datta",
"Shouvik",
""
]
] | We investigate the connection between spacetime wormholes and ensemble averaging in the context of higher spin AdS$_3$/CFT$_2$. Using techniques from modular bootstrap combined with some holographic inputs, we evaluate the partition function of a Euclidean wormhole in AdS$_3$ higher spin gravity. The fixed spin sectors... |
hep-th/9505063 | Ralf Kerschner | Ralf Kerschner | On quantum field theories with finitely many degrees of freedom | 22 pages, LateX | null | null | Tue-prep-05-95-04 | hep-th | null | The existence of inequivalent representations in quantum field theory with
{\it finitely} many degrees of freedom is shown. Their properties are
exemplified and analysed for concrete and simple models. In particular the
relations to Bogoliubov--Valatin quasi-particles, to thermo field dynamics, and
to $q$--deformed q... | [
{
"created": "Thu, 11 May 1995 07:28:59 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Kerschner",
"Ralf",
""
]
] | The existence of inequivalent representations in quantum field theory with {\it finitely} many degrees of freedom is shown. Their properties are exemplified and analysed for concrete and simple models. In particular the relations to Bogoliubov--Valatin quasi-particles, to thermo field dynamics, and to $q$--deformed qua... |
2109.05245 | Reiji Yoshioka | H. Itoyama, A. Mironov, A. Morozov, R. Yoshioka | Review on the Operator/Feynman diagram/Dessins d'enfant Correspondence
in Tensor Model | 11 pages, 5 figures | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | A short review of the Operator/Feynman diagram/dessin d'enfants
correspondence in the rank 3 tensor model is presented, and the cut & join
operation is given in the language of dessin d'enfants as a straightforward
development. We classify operators of the rank 3 tensor model up to level 5
with dessin d'enfants.
| [
{
"created": "Sat, 11 Sep 2021 10:07:08 GMT",
"version": "v1"
}
] | 2021-09-14 | [
[
"Itoyama",
"H.",
""
],
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
],
[
"Yoshioka",
"R.",
""
]
] | A short review of the Operator/Feynman diagram/dessin d'enfants correspondence in the rank 3 tensor model is presented, and the cut & join operation is given in the language of dessin d'enfants as a straightforward development. We classify operators of the rank 3 tensor model up to level 5 with dessin d'enfants. |
2104.00052 | Timothy J. Hollowood | Timothy J. Hollowood, S. Prem Kumar, Andrea Legramandi and Neil Talwar | Islands in the Stream of Hawking Radiation | added clarifications and some minor corrections | null | 10.1007/JHEP11(2021)067 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We consider the island formula for the entropy of subsets of the Hawking
radiation in the adiabatic limit where the evaporation is very slow. We find a
simple concrete `on-shell' formula for the generalized entropy which involves
the image of the island out in the stream of radiation, the `island in the
stream'. The ... | [
{
"created": "Wed, 31 Mar 2021 18:21:11 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Apr 2021 14:56:25 GMT",
"version": "v2"
},
{
"created": "Mon, 25 Oct 2021 07:42:20 GMT",
"version": "v3"
}
] | 2021-11-24 | [
[
"Hollowood",
"Timothy J.",
""
],
[
"Kumar",
"S. Prem",
""
],
[
"Legramandi",
"Andrea",
""
],
[
"Talwar",
"Neil",
""
]
] | We consider the island formula for the entropy of subsets of the Hawking radiation in the adiabatic limit where the evaporation is very slow. We find a simple concrete `on-shell' formula for the generalized entropy which involves the image of the island out in the stream of radiation, the `island in the stream'. The re... |
hep-th/9906226 | Vijay Balasubramanian | Vijay Balasubramanian and Simon F. Ross | Holographic Particle Detection | 26 pages, LaTeX, 7 figures, uses epsf.sty | Phys.Rev. D61 (2000) 044007 | 10.1103/PhysRevD.61.044007 | HUTP-99/A032, UCSBTH-99-1 | hep-th | null | In anti-de Sitter (AdS) space, classical supergravity solutions are
represented "holographically" by conformal field theory (CFT) states in which
operators have expectation values. These 1-point functions are directly related
to the asymptotic behaviour of bulk fields. In some cases, distinct
supergravity solutions h... | [
{
"created": "Tue, 29 Jun 1999 04:22:10 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Balasubramanian",
"Vijay",
""
],
[
"Ross",
"Simon F.",
""
]
] | In anti-de Sitter (AdS) space, classical supergravity solutions are represented "holographically" by conformal field theory (CFT) states in which operators have expectation values. These 1-point functions are directly related to the asymptotic behaviour of bulk fields. In some cases, distinct supergravity solutions hav... |
hep-th/9504053 | Jutta Kunz | Burkhard Kleihaus, Jutta Kunz and Abha Sood | SU(3) Einstein-Yang-Mills Sphalerons and Black Holes | LATEX, 16 pages, 5 figures | Phys.Lett. B354 (1995) 240-246 | 10.1016/0370-2693(95)00664-7 | THU-95/8 | hep-th gr-qc | null | In the SU(3) Einstein-Yang-Mills system sequences of static spherically
symmetric regular solutions and black hole solutions exist for both the SU(2)
and the SO(3) embedding. We construct the lowest regular solutions of the SO(3)
embedding, missed previously, and the corresponding black holes. The SO(3)
solutions are... | [
{
"created": "Mon, 10 Apr 1995 11:39:25 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Kleihaus",
"Burkhard",
""
],
[
"Kunz",
"Jutta",
""
],
[
"Sood",
"Abha",
""
]
] | In the SU(3) Einstein-Yang-Mills system sequences of static spherically symmetric regular solutions and black hole solutions exist for both the SU(2) and the SO(3) embedding. We construct the lowest regular solutions of the SO(3) embedding, missed previously, and the corresponding black holes. The SO(3) solutions are c... |
hep-th/0404223 | Anton Rebhan | Anton Rebhan, Peter van Nieuwenhuizen, Robert Wimmer | New developments in the quantization of supersymmetric solitons (kinks,
vortices and monopoles) | 15 pages, REVTEX4 style, 1 embedded postscript figure. Extended
writeup of a talk given by P. van Nieuwenhuizen at the XXIV Brazilian
National Meeting on Particles and Fields (Caxambu, Brazil, 30 Sep - 4 Oct
2003); to appear in the Brazilian Journal of Physics | Braz.J.Phys. 34 (2004) 1273-1287 | null | TUW-04-07, YITP-SB-04-10, ITP-UH-08/04 | hep-th | null | We discuss the one-loop quantum corrections to the mass M and central charge
Z of supersymmetric solitons: the kink, the vortex and the monopole. Contrary
to previous expectations and published results, in each of these cases there
are nonvanishing quantum corrections to the mass. For the N=1 kink and the N=2
monopol... | [
{
"created": "Wed, 28 Apr 2004 13:02:42 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Rebhan",
"Anton",
""
],
[
"van Nieuwenhuizen",
"Peter",
""
],
[
"Wimmer",
"Robert",
""
]
] | We discuss the one-loop quantum corrections to the mass M and central charge Z of supersymmetric solitons: the kink, the vortex and the monopole. Contrary to previous expectations and published results, in each of these cases there are nonvanishing quantum corrections to the mass. For the N=1 kink and the N=2 monopole ... |
1411.5641 | Ravikant Verma | Ravikant Verma | Twisted Fermionic Oscillator Algebra in $\kappa$-Minkowski space-time | 15 | Eur.Phys.J.Plus 130 (2015) no.4, 79 | 10.1140/epjp/i2015-15079-3 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we investigate the twisted algebra of the fermionic
oscillators associated with Dirac field defined in $\kappa$-Minkowski
space-time. Starting from $\kappa$-deformed Dirac theory, which is invariant
under the undeformed $\kappa$-Poincare algebra, using the twisted flip
operator, we derive the deformed ... | [
{
"created": "Wed, 5 Nov 2014 04:17:48 GMT",
"version": "v1"
}
] | 2017-04-19 | [
[
"Verma",
"Ravikant",
""
]
] | In this paper, we investigate the twisted algebra of the fermionic oscillators associated with Dirac field defined in $\kappa$-Minkowski space-time. Starting from $\kappa$-deformed Dirac theory, which is invariant under the undeformed $\kappa$-Poincare algebra, using the twisted flip operator, we derive the deformed al... |
1412.1661 | Yurij Yaremko | Yurij Yaremko | Exact solution to the Landau-Lifshitz equation in a constant
electromagnetic field | null | J. Math. Phys., Vol. 54, 092901 (2013) | 10.1063/1.4820131 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We are interested in the motion of a classical charge acted upon an external
constant electromagnetic field where the back reaction of the particle's own
field is taken into account. The Landau-Lifshitz approximation to the
Lorentz-Abraham-Dirac equation is solved exactly and in closed form. It is
shown that the ultr... | [
{
"created": "Thu, 4 Dec 2014 13:30:17 GMT",
"version": "v1"
},
{
"created": "Tue, 2 May 2017 12:24:11 GMT",
"version": "v2"
}
] | 2017-05-03 | [
[
"Yaremko",
"Yurij",
""
]
] | We are interested in the motion of a classical charge acted upon an external constant electromagnetic field where the back reaction of the particle's own field is taken into account. The Landau-Lifshitz approximation to the Lorentz-Abraham-Dirac equation is solved exactly and in closed form. It is shown that the ultrar... |
2206.10626 | Alessia Benedetta Platania | Mathijs Fraaije, Alessia Platania, Frank Saueressig | On the reconstruction problem in Quantum Gravity | 12 pages (5 + appendices and bibliography), no figures | null | 10.1016/j.physletb.2022.137399 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Path integrals and the Wilsonian renormalization group provide two
complementary computational tools for investigating continuum approaches to
quantum gravity. The starting points of these constructions utilize a bare
action and a fixed point of the renormalization group flow, respectively. While
it is clear that the... | [
{
"created": "Tue, 21 Jun 2022 18:00:00 GMT",
"version": "v1"
}
] | 2022-08-31 | [
[
"Fraaije",
"Mathijs",
""
],
[
"Platania",
"Alessia",
""
],
[
"Saueressig",
"Frank",
""
]
] | Path integrals and the Wilsonian renormalization group provide two complementary computational tools for investigating continuum approaches to quantum gravity. The starting points of these constructions utilize a bare action and a fixed point of the renormalization group flow, respectively. While it is clear that there... |
hep-th/0508158 | Per Anders Sundell | E. Sezgin and P. Sundell | An Exact Solution of 4D Higher-Spin Gauge Theory | 47 pages. v3: global properties of the solution clarified, minor
corrections made, discussion and refs revised | Nucl.Phys. B762 (2007) 1-37 | 10.1016/j.nuclphysb.2006.06.038 | MIFP-05-18, UUITP-12/05 | hep-th | null | We give a one-parameter family of exact solutions to four-dimensional
higher-spin gauge theory invariant under a deformed higher-spin extension of
SO(3,1) and parameterized by a zero-form invariant. All higher-spin gauge
fields vanish, while the metric interpolates between two asymptotically AdS4
regions via a dS3-fo... | [
{
"created": "Mon, 22 Aug 2005 09:43:05 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Aug 2005 11:34:22 GMT",
"version": "v2"
},
{
"created": "Sat, 31 Dec 2005 03:37:26 GMT",
"version": "v3"
}
] | 2010-04-05 | [
[
"Sezgin",
"E.",
""
],
[
"Sundell",
"P.",
""
]
] | We give a one-parameter family of exact solutions to four-dimensional higher-spin gauge theory invariant under a deformed higher-spin extension of SO(3,1) and parameterized by a zero-form invariant. All higher-spin gauge fields vanish, while the metric interpolates between two asymptotically AdS4 regions via a dS3-foli... |
0709.1199 | Hideki Maeda | Hideki Maeda and Masato Nozawa | Generalized Misner-Sharp quasi-local mass in Einstein-Gauss-Bonnet
gravity | 13 pages, no figures, 1 table; v4, new results added in the
asymptotically AdS case, accepted for publication in Physical Review D | Phys.Rev.D77:064031,2008 | 10.1103/PhysRevD.77.064031 | CECS-PHY-07/10 | hep-th gr-qc | null | We investigate properties of a quasi-local mass in a higher-dimensional
spacetime having symmetries corresponding to the isomertries of an
$(n-2)$-dimensional maximally symmetric space in Einstein-Gauss-Bonnet gravity
in the presence of a cosmological constant. We assume that the Gauss-Bonnet
coupling constant is non... | [
{
"created": "Sat, 8 Sep 2007 10:50:13 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Sep 2007 15:58:45 GMT",
"version": "v2"
},
{
"created": "Fri, 16 Nov 2007 19:35:21 GMT",
"version": "v3"
},
{
"created": "Wed, 20 Feb 2008 18:41:40 GMT",
"version": "v4"
}
] | 2008-11-26 | [
[
"Maeda",
"Hideki",
""
],
[
"Nozawa",
"Masato",
""
]
] | We investigate properties of a quasi-local mass in a higher-dimensional spacetime having symmetries corresponding to the isomertries of an $(n-2)$-dimensional maximally symmetric space in Einstein-Gauss-Bonnet gravity in the presence of a cosmological constant. We assume that the Gauss-Bonnet coupling constant is non-n... |
hep-th/9504019 | Simon Frederick Ross | S.W. Hawking and S.F. Ross | Duality between Electric and Magnetic Black Holes | 23 pages, revtex, no figures. Major revision: two sections on the
electric Ernst solution added | Phys.Rev.D52:5865-5876,1995 | 10.1103/PhysRevD.52.5865 | DAMTP/R-95/8 | hep-th gr-qc | null | A number of attempts have recently been made to extend the conjectured $S$
duality of Yang Mills theory to gravity. Central to these speculations has been
the belief that electrically and magnetically charged black holes, the solitons
of quantum gravity, have identical quantum properties. This is not obvious,
because... | [
{
"created": "Wed, 5 Apr 1995 18:00:24 GMT",
"version": "v1"
},
{
"created": "Wed, 17 May 1995 10:53:58 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Hawking",
"S. W.",
""
],
[
"Ross",
"S. F.",
""
]
] | A number of attempts have recently been made to extend the conjectured $S$ duality of Yang Mills theory to gravity. Central to these speculations has been the belief that electrically and magnetically charged black holes, the solitons of quantum gravity, have identical quantum properties. This is not obvious, because a... |
hep-th/9510163 | Arut | G.E.Arutyunov | Construction of trigonometric Toda $r$-matrices via Hamiltonian
reduction of the cotangent bundle over loop groups | 10 pages, LATEX | null | null | null | hep-th | null | By applying the Hamiltonian reduction method to the cotangent bundle over
loop groups we recover the well-known classical trigonometric $r$-matrices of
the periodic Toda lattice.
| [
{
"created": "Mon, 23 Oct 1995 16:57:55 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Oct 1995 15:39:53 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Arutyunov",
"G. E.",
""
]
] | By applying the Hamiltonian reduction method to the cotangent bundle over loop groups we recover the well-known classical trigonometric $r$-matrices of the periodic Toda lattice. |
0804.3839 | Hideo Kodama | Hideo Kodama | Accelerating a Black Hole in Higher Dimensions | 47 pages, 4 figures | Prog.Theor.Phys.120:371-411,2008 | 10.1143/PTP.120.371 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Utilising the master equation with source for perturbations of the
Schwarzschild-Tangherlini solution, we construct perturbative solutions
representing a black hole accelerated by a string in higher dimensions. We show
that such solutions can be uniquely determined by a single function
representing the local tension ... | [
{
"created": "Thu, 24 Apr 2008 05:20:25 GMT",
"version": "v1"
}
] | 2009-01-25 | [
[
"Kodama",
"Hideo",
""
]
] | Utilising the master equation with source for perturbations of the Schwarzschild-Tangherlini solution, we construct perturbative solutions representing a black hole accelerated by a string in higher dimensions. We show that such solutions can be uniquely determined by a single function representing the local tension of... |
1801.04854 | Pietro Antonio Grassi | Roberto Catenacci and Pietro Antonio Grassi | String Sigma Models on Curved Supermanifolds | 18 pages. Contribution to the Special Issue of Universe "Super
Geometry for Super Strings" | null | null | ARC-18-01 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use the techniques of integral forms to analyse the easiest example of two
dimensional sigma models on a supermanifold. We write the action as an integral
of a top integral form over a D=2 supermanifold and we show how to interpolate
between different superspace actions. Then, we consider curved supermanifolds
and... | [
{
"created": "Mon, 15 Jan 2018 15:48:14 GMT",
"version": "v1"
}
] | 2018-01-16 | [
[
"Catenacci",
"Roberto",
""
],
[
"Grassi",
"Pietro Antonio",
""
]
] | We use the techniques of integral forms to analyse the easiest example of two dimensional sigma models on a supermanifold. We write the action as an integral of a top integral form over a D=2 supermanifold and we show how to interpolate between different superspace actions. Then, we consider curved supermanifolds and w... |
2107.00041 | Kausik Ghosh | Kausik Ghosh, Apratim Kaviraj, Miguel F. Paulos | Charging Up the Functional Bootstrap | 44 pages, 8 figures, typos corrected, minor details added, references
added | null | 10.1007/JHEP10(2021)116 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit the problem of bootstrapping CFT correlators of charged fields.
After discussing in detail how bounds for uncharged fields can be recycled to
the charged case, we introduce two sets of analytic functional bases for
correlators on the line. The first, which we call "simple", is essentially a
direct sum of a... | [
{
"created": "Wed, 30 Jun 2021 18:03:29 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Jul 2021 15:03:26 GMT",
"version": "v2"
}
] | 2021-11-03 | [
[
"Ghosh",
"Kausik",
""
],
[
"Kaviraj",
"Apratim",
""
],
[
"Paulos",
"Miguel F.",
""
]
] | We revisit the problem of bootstrapping CFT correlators of charged fields. After discussing in detail how bounds for uncharged fields can be recycled to the charged case, we introduce two sets of analytic functional bases for correlators on the line. The first, which we call "simple", is essentially a direct sum of ana... |
1704.07890 | Jacques Distler | Oscar Chacaltana, Jacques Distler, Anderson Trimm and Yinan Zhu | Tinkertoys for the E7 Theory | Fixed one entry in table of interacting fixtures with an irregular
puncture | null | 10.1007/JHEP05(2018)031 | UTTG--03--17 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We classify the class $S$ theories of type $E_7$. These are four-dimensional
$\mathcal{N}=2$ superconformal field theories arising from the compactification
of the $E_7$ $(2,0)$ theory on a punctured Riemann surface, $C$. The
classification is given by listing all 3-punctured spheres ("fixtures"), and
connecting cyli... | [
{
"created": "Tue, 25 Apr 2017 20:00:01 GMT",
"version": "v1"
},
{
"created": "Sun, 25 Feb 2018 23:46:19 GMT",
"version": "v2"
}
] | 2018-10-04 | [
[
"Chacaltana",
"Oscar",
""
],
[
"Distler",
"Jacques",
""
],
[
"Trimm",
"Anderson",
""
],
[
"Zhu",
"Yinan",
""
]
] | We classify the class $S$ theories of type $E_7$. These are four-dimensional $\mathcal{N}=2$ superconformal field theories arising from the compactification of the $E_7$ $(2,0)$ theory on a punctured Riemann surface, $C$. The classification is given by listing all 3-punctured spheres ("fixtures"), and connecting cylind... |
hep-th/9808062 | Mikhail Plyushchay | Jorge Gamboa, Mikhail Plyushchay and Jorge Zanelli | Three aspects of bosonized supersymmetry and linear differential field
equation with reflection | 18 pages, LaTeX, minor typos corrected, ref updated, to appear in
Nucl. Phys. B | Nucl.Phys. B543 (1999) 447-465 | 10.1016/S0550-3213(98)00832-3 | null | hep-th hep-ph math-ph math.MP nucl-th quant-ph | null | Recently it was observed by one of the authors that supersymmetric quantum
mechanics (SUSYQM) admits a formulation in terms of only one bosonic degree of
freedom. Such a construction, called the minimally bosonized SUSYQM, appeared
in the context of integrable systems and dynamical symmetries. We show that the
minima... | [
{
"created": "Tue, 11 Aug 1998 21:51:01 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Nov 1998 23:55:08 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Gamboa",
"Jorge",
""
],
[
"Plyushchay",
"Mikhail",
""
],
[
"Zanelli",
"Jorge",
""
]
] | Recently it was observed by one of the authors that supersymmetric quantum mechanics (SUSYQM) admits a formulation in terms of only one bosonic degree of freedom. Such a construction, called the minimally bosonized SUSYQM, appeared in the context of integrable systems and dynamical symmetries. We show that the minimall... |
2308.06312 | Brandon Rayhaun | Leonardo Rastelli and Brandon C. Rayhaun | Rationality in Four Dimensions | 7 pages | null | null | null | hep-th math.NT math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | By leveraging the physics of the Higgs branch, we argue that the conformal
central charges $a$ and $c$ of an arbitrary 4d $N=2$ superconformal field
theory (SCFT) are rational numbers. Our proof of the rationality of $c$ is
conditioned on a well-supported conjecture about how the Higgs branch of an
SCFT is encoded in... | [
{
"created": "Fri, 11 Aug 2023 18:00:00 GMT",
"version": "v1"
}
] | 2023-08-15 | [
[
"Rastelli",
"Leonardo",
""
],
[
"Rayhaun",
"Brandon C.",
""
]
] | By leveraging the physics of the Higgs branch, we argue that the conformal central charges $a$ and $c$ of an arbitrary 4d $N=2$ superconformal field theory (SCFT) are rational numbers. Our proof of the rationality of $c$ is conditioned on a well-supported conjecture about how the Higgs branch of an SCFT is encoded in i... |
hep-th/0108037 | Christian Mercat | C. H. Otto Chui, Christian Mercat and Paul A. Pearce | Integrable Boundaries and Universal TBA Functional Equations | 30 pages, amsmath,amssymb,hyperref,mcite,svcon2e (included)
Introduction rewritten, typos fixed, layout changed | Prog.Math.Phys. 23 (2002) 391-413 | null | null | hep-th | null | We derive the fusion hierarchy of functional equations for critical A-D-E
lattice models related to, the sl(2) unitary minimal models, the parafermionic
models and the supersymmetric models of conformal field theory, and deduce the
related TBA functional equations. The derivation uses fusion projectors and
applies in... | [
{
"created": "Tue, 7 Aug 2001 13:49:43 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Aug 2001 07:28:39 GMT",
"version": "v2"
},
{
"created": "Tue, 30 Oct 2001 06:02:00 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Chui",
"C. H. Otto",
""
],
[
"Mercat",
"Christian",
""
],
[
"Pearce",
"Paul A.",
""
]
] | We derive the fusion hierarchy of functional equations for critical A-D-E lattice models related to, the sl(2) unitary minimal models, the parafermionic models and the supersymmetric models of conformal field theory, and deduce the related TBA functional equations. The derivation uses fusion projectors and applies in t... |
hep-th/0210094 | Odintsov Sergey | S.D. Odintsov | Brane New World and dS/CFT correspondence | 10 pages, based on plenary talk at GRG11, Tomsk, July 2002 | Grav.Cosmol.9:79-82,2003 | null | null | hep-th | null | The occurence of 5d de Sitter space with 4d de Sitter brane is discussed on
classical and quantum level. It is shown that quantum effects maybe produced by
dual CFT living on the brane. Moreover, gravity trapping on the brane is proved
via the presentation of 5d dS gravity as 4d gravity coupled with gauge theory.
Thi... | [
{
"created": "Thu, 10 Oct 2002 08:24:28 GMT",
"version": "v1"
}
] | 2009-09-17 | [
[
"Odintsov",
"S. D.",
""
]
] | The occurence of 5d de Sitter space with 4d de Sitter brane is discussed on classical and quantum level. It is shown that quantum effects maybe produced by dual CFT living on the brane. Moreover, gravity trapping on the brane is proved via the presentation of 5d dS gravity as 4d gravity coupled with gauge theory. This ... |
1805.08782 | Sagar F. Lokhande | Alexandre Belin, Nabil Iqbal, Sagar F. Lokhande | Bulk entanglement entropy in perturbative excited states | 35 pages, 5 figures; v2 references added; v3: Typos corrected, as
requested by a SciPost Physics referee. The referee report can be found at
https://scipost.org/submission/1805.08782v2/ | SciPost Phys. 5, 024 (2018) | 10.21468/SciPostPhys.5.3.024 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the bulk entanglement entropy across the Ryu-Takayanagi surface
for a one-particle state in a scalar field theory in AdS$_3$. We work directly
within the bulk Hilbert space and include the spatial spread of the scalar
wavefunction. We give closed form expressions in the limit of small interval
sizes and co... | [
{
"created": "Tue, 22 May 2018 18:00:01 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Jun 2018 10:46:56 GMT",
"version": "v2"
},
{
"created": "Sun, 2 Sep 2018 08:44:16 GMT",
"version": "v3"
}
] | 2018-09-26 | [
[
"Belin",
"Alexandre",
""
],
[
"Iqbal",
"Nabil",
""
],
[
"Lokhande",
"Sagar F.",
""
]
] | We compute the bulk entanglement entropy across the Ryu-Takayanagi surface for a one-particle state in a scalar field theory in AdS$_3$. We work directly within the bulk Hilbert space and include the spatial spread of the scalar wavefunction. We give closed form expressions in the limit of small interval sizes and comp... |
hep-th/0602097 | Ishwaree Neupane | Ishwaree P. Neupane | On compatibility of string effective action with an accelerating
universe | 30 pages, 8 figures; v2 significant changes in notations, appendix
and refs added; v3 significant revisions, refs added; v4 appendix extended,
new refs, published version | Class.Quant.Grav. 23 (2006) 7493-7520 | 10.1088/0264-9381/23/24/020 | null | hep-th astro-ph gr-qc | null | In this paper, we fully investigate the cosmological effects of the moduli
dependent one-loop corrections to the gravitational couplings of the string
effective action to explain the cosmic acceleration problem in early (and/or
late) universe. These corrections comprise a Gauss-Bonnet (GB) invariant
multiplied by uni... | [
{
"created": "Fri, 10 Feb 2006 20:56:32 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Apr 2006 11:01:02 GMT",
"version": "v2"
},
{
"created": "Wed, 26 Jul 2006 14:46:56 GMT",
"version": "v3"
},
{
"created": "Sun, 29 Oct 2006 22:02:48 GMT",
"version": "v4"
}
] | 2009-11-11 | [
[
"Neupane",
"Ishwaree P.",
""
]
] | In this paper, we fully investigate the cosmological effects of the moduli dependent one-loop corrections to the gravitational couplings of the string effective action to explain the cosmic acceleration problem in early (and/or late) universe. These corrections comprise a Gauss-Bonnet (GB) invariant multiplied by unive... |
2105.00257 | Michelangelo Preti | Francesco Galvagno, Michelangelo Preti | Wilson loop correlators in $\mathcal{N}=2$ superconformal quivers | 44 pages, 5 figures | null | 10.1007/JHEP11(2021)023 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We complete the program of 2012.15792 about perturbative approaches for
$\mathcal{N}=2$ superconformal quiver theories in four dimensions. We consider
several classes of observables in presence of Wilson loops, and we evaluate
them with the help of supersymmetric localization. We compute Wilson loop
vacuum expectatio... | [
{
"created": "Sat, 1 May 2021 14:20:12 GMT",
"version": "v1"
}
] | 2021-11-24 | [
[
"Galvagno",
"Francesco",
""
],
[
"Preti",
"Michelangelo",
""
]
] | We complete the program of 2012.15792 about perturbative approaches for $\mathcal{N}=2$ superconformal quiver theories in four dimensions. We consider several classes of observables in presence of Wilson loops, and we evaluate them with the help of supersymmetric localization. We compute Wilson loop vacuum expectation ... |
1404.6713 | Tom Mertens | T. Mertens, I. Cherednikov | On Geometric Scaling of Light-Like Wilson Polygons: Higher Orders in
$\alpha_s$ | 8 pages, 2 figures | Phys.Lett. B734 2014 198-202 | 10.1016/j.physletb.2014.05.059 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We address the scaling behaviour of contour-shape-dependent ultra-violet
singularities of the light-like cusped Wilson loops in Yang-Mills and ${\cal N}
= 4$ super-Yang-Mills theories in the higher orders of the perturbative
expansion. We give the simple arguments to support the idea that identifying of
a special typ... | [
{
"created": "Sun, 27 Apr 2014 06:23:28 GMT",
"version": "v1"
}
] | 2014-06-17 | [
[
"Mertens",
"T.",
""
],
[
"Cherednikov",
"I.",
""
]
] | We address the scaling behaviour of contour-shape-dependent ultra-violet singularities of the light-like cusped Wilson loops in Yang-Mills and ${\cal N} = 4$ super-Yang-Mills theories in the higher orders of the perturbative expansion. We give the simple arguments to support the idea that identifying of a special type ... |
0807.1737 | F\'abio Diales da Rocha | Steven S. Gubser and Fabio D. Rocha | The gravity dual to a quantum critical point with spontaneous symmetry
breaking | 5 pages, 2 figures | Phys.Rev.Lett.102:061601,2009 | 10.1103/PhysRevLett.102.061601 | PUPT-2275 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider zero temperature solutions to the Abelian Higgs model coupled to
gravity with a negative cosmological constant. With appropriate choices of
parameters, the geometry contains two copies of anti-de Sitter space, one
describing conformal invariance in the ultraviolet, and one in the infrared.
The effective s... | [
{
"created": "Thu, 10 Jul 2008 20:58:59 GMT",
"version": "v1"
}
] | 2009-02-27 | [
[
"Gubser",
"Steven S.",
""
],
[
"Rocha",
"Fabio D.",
""
]
] | We consider zero temperature solutions to the Abelian Higgs model coupled to gravity with a negative cosmological constant. With appropriate choices of parameters, the geometry contains two copies of anti-de Sitter space, one describing conformal invariance in the ultraviolet, and one in the infrared. The effective spe... |
hep-th/9512146 | Rafael Ferraro | Rafael Ferraro and Claudio Simeone | Canonical Gauges in the Path Integral for Parametrized Systems | 19 pages (TeX manuscript) | J.Math.Phys. 38 (1997) 599 | 10.1063/1.532006 | null | hep-th gr-qc | null | It is well known that --differing from ordinary gauge systems-- canonical
gauges are not admissible in the path integral for parametrized systems. This
is the case for the relativistic particle and gravitation. However, a time
dependent canonical transformation can turn a parametrized system into an
ordinary gauge sy... | [
{
"created": "Tue, 19 Dec 1995 12:22:00 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Dec 1995 12:45:00 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Ferraro",
"Rafael",
""
],
[
"Simeone",
"Claudio",
""
]
] | It is well known that --differing from ordinary gauge systems-- canonical gauges are not admissible in the path integral for parametrized systems. This is the case for the relativistic particle and gravitation. However, a time dependent canonical transformation can turn a parametrized system into an ordinary gauge syst... |
hep-th/9306048 | Massimo Porrati | Sergio Ferrara and Massimo Porrati | String Phase Transitions in a Strong Magnetic Field | 8 pages | Mod.Phys.Lett.A8:2497-2502,1993 | 10.1142/S0217732393002828 | UCLA/93/TEP/17, NYU-TH.93/06/01 | hep-th | null | We consider open strings in an external constant magnetic field $H$. For an
(infinite) sequence of critical values of $H$ an increasing number of (highest
spin component) states lying on the first Regge trajectory becomes tachyonic.
In the limit of infinite $H$ all these states are tachyons (with a common
tachyonic m... | [
{
"created": "Wed, 9 Jun 1993 12:11:29 GMT",
"version": "v1"
}
] | 2010-11-01 | [
[
"Ferrara",
"Sergio",
""
],
[
"Porrati",
"Massimo",
""
]
] | We consider open strings in an external constant magnetic field $H$. For an (infinite) sequence of critical values of $H$ an increasing number of (highest spin component) states lying on the first Regge trajectory becomes tachyonic. In the limit of infinite $H$ all these states are tachyons (with a common tachyonic mas... |
hep-th/9608188 | null | Chong-Sun Chu, Pei-Ming Ho and Bruno Zumino | Some Complex Quantum Manifolds and their Geometry | Cargese lectures, July 1996, one figure, Full postscript available
from http://theor1.lbl.gov/www/theorgroup/papers/39275.ps | null | null | LBL-39275, UCB-PTH-96/38 | hep-th | null | After recalling briefly some basic properties of the quantum group $GL_q(2)$,
we study the quantum sphere $S_q^2$, quantum projective space $CP_q(N)$ and
quantum Grassmannians as examples of complex (K\"{a}hler) quantum manifolds.
The differential and integral calculus on these manifolds are discussed. It is
shown th... | [
{
"created": "Thu, 29 Aug 1996 01:21:16 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Chu",
"Chong-Sun",
""
],
[
"Ho",
"Pei-Ming",
""
],
[
"Zumino",
"Bruno",
""
]
] | After recalling briefly some basic properties of the quantum group $GL_q(2)$, we study the quantum sphere $S_q^2$, quantum projective space $CP_q(N)$ and quantum Grassmannians as examples of complex (K\"{a}hler) quantum manifolds. The differential and integral calculus on these manifolds are discussed. It is shown that... |
1912.11752 | Mikhail Plyushchay | Luis Inzunza, Mikhail S. Plyushchay, Andreas Wipf | Conformal bridge between asymptotic freedom and confinement | 25 pages, comments and refs added, title slightly modified by the
Editor of PRD | Phys. Rev. D 101, 105019 (2020) | 10.1103/PhysRevD.101.105019 | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a nonunitary transformation that relates a given "asymptotically
free" conformal quantum mechanical system $H_f$ with its confined, harmonically
trapped version $H_c$. In our construction, Jordan states corresponding to the
zero eigenvalue of $H_f$, as well as its eigenstates and Gaussian packets are
map... | [
{
"created": "Thu, 26 Dec 2019 02:45:37 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Jan 2020 12:18:47 GMT",
"version": "v2"
},
{
"created": "Sat, 30 May 2020 06:29:33 GMT",
"version": "v3"
}
] | 2020-06-03 | [
[
"Inzunza",
"Luis",
""
],
[
"Plyushchay",
"Mikhail S.",
""
],
[
"Wipf",
"Andreas",
""
]
] | We construct a nonunitary transformation that relates a given "asymptotically free" conformal quantum mechanical system $H_f$ with its confined, harmonically trapped version $H_c$. In our construction, Jordan states corresponding to the zero eigenvalue of $H_f$, as well as its eigenstates and Gaussian packets are mappe... |
1001.3378 | Enrique Moreno | A. R. Lugo, E. F. Moreno, F. A. Schaposnik | Holographic phase transition from dyons in an AdS black hole background | 19 pages, 7 figures. Minor corrections, references added. Version
published in JHEP. | JHEP03(2010)013 | 10.1007/JHEP03(2010)013 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a dyon solution for a Yang-Mills-Higgs theory in a 4 dimensional
Schwarzschild-anti-de Sitter black hole background with temperature T. We then
apply the AdS/CFT correspondence to describe the strong coupling regime of a
2+1 quantum field theory which undergoes a phase transition exhibiting the
condensat... | [
{
"created": "Tue, 19 Jan 2010 20:40:09 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Mar 2010 21:27:16 GMT",
"version": "v2"
}
] | 2015-05-18 | [
[
"Lugo",
"A. R.",
""
],
[
"Moreno",
"E. F.",
""
],
[
"Schaposnik",
"F. A.",
""
]
] | We construct a dyon solution for a Yang-Mills-Higgs theory in a 4 dimensional Schwarzschild-anti-de Sitter black hole background with temperature T. We then apply the AdS/CFT correspondence to describe the strong coupling regime of a 2+1 quantum field theory which undergoes a phase transition exhibiting the condensatio... |
2111.13223 | Maximilian Rupprecht | Maximilian Rupprecht | The coupling flow of ${\cal N}=4$ super Yang-Mills theory | 17 pages + appendices; v2: minor corrections and clarifications,
matches published version | null | 10.1007/JHEP04(2022)004 | null | hep-th math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | We offer a novel perspective on ${\cal N}=4$ supersymmetric Yang-Mills (SYM)
theory through the framework of the Nicolai map, a transformation of the
bosonic fields that allows one to compute quantum correlators in terms of a
free, purely bosonic functional measure. Generally, any Nicolai map is obtained
through a pa... | [
{
"created": "Thu, 25 Nov 2021 19:00:07 GMT",
"version": "v1"
},
{
"created": "Thu, 31 Mar 2022 11:24:42 GMT",
"version": "v2"
}
] | 2022-04-06 | [
[
"Rupprecht",
"Maximilian",
""
]
] | We offer a novel perspective on ${\cal N}=4$ supersymmetric Yang-Mills (SYM) theory through the framework of the Nicolai map, a transformation of the bosonic fields that allows one to compute quantum correlators in terms of a free, purely bosonic functional measure. Generally, any Nicolai map is obtained through a path... |
hep-th/0412121 | Jose Magpantay | Jose A. Magpantay | Effective Quantum Dynamics of Quarks and Gluons in a Stochastic
Background | 17 pages, bbl references added | null | null | null | hep-th | null | The quantum dynamics of quarks, gluons and the scalar degrees of freedom
associated with the non-linear regime of the non-linear gauge is derived. We
discuss the subtleties in quantizing in a stochastic background. Then we show
in detail that the stochastic average of the Yang-Mills action is only
dependent on the gl... | [
{
"created": "Mon, 13 Dec 2004 05:50:47 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Dec 2004 04:25:28 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Magpantay",
"Jose A.",
""
]
] | The quantum dynamics of quarks, gluons and the scalar degrees of freedom associated with the non-linear regime of the non-linear gauge is derived. We discuss the subtleties in quantizing in a stochastic background. Then we show in detail that the stochastic average of the Yang-Mills action is only dependent on the gluo... |
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