id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9704037 | C. K. Zachos | Thomas Curtright, David Fairlie and Cosmas Zachos | Integrable Symplectic Trilinear Interaction Terms for Matrix Membranes | 11 pages, LaTeX | Phys.Lett.B405:37-44,1997 | 10.1016/S0370-2693(97)00551-0 | CERN-TH/97-63, Miami TH/1/97, ANL-HEP-PR-97-10 | hep-th | null | Cubic interactions are considered in 3 and 7 space dimensions, respectively,
for bosonic membranes in Poisson Bracket form. Their symmetries and vacuum
configurations are discussed. Their associated first order equations are
transformed to Nahm's equations, and are hence seen to be integrable, for the
3-dimensional case, by virtue of the explicit Lax pair provided. The
constructions introduced also apply to commutator or Moyal Bracket analogues.
| [
{
"created": "Fri, 4 Apr 1997 16:47:30 GMT",
"version": "v1"
}
] | 2009-10-02 | [
[
"Curtright",
"Thomas",
""
],
[
"Fairlie",
"David",
""
],
[
"Zachos",
"Cosmas",
""
]
] | Cubic interactions are considered in 3 and 7 space dimensions, respectively, for bosonic membranes in Poisson Bracket form. Their symmetries and vacuum configurations are discussed. Their associated first order equations are transformed to Nahm's equations, and are hence seen to be integrable, for the 3-dimensional case, by virtue of the explicit Lax pair provided. The constructions introduced also apply to commutator or Moyal Bracket analogues. |
2208.02933 | Maxim Grigoriev | Ivan Dneprov and Maxim Grigoriev | Presymplectic BV-AKSZ formulation of Conformal Gravity | 31 pages + appendix | null | 10.1140/epjc/s10052-022-11082-6 | null | hep-th math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | We elaborate on the presymplectic BV-AKSZ approach to local gauge theories
and apply it to conformal gravity. More specifically, we identify a compatible
presymplectic structure on the minimal model of the total BRST complex of this
theory and show that together with the BRST differential it determines a
full-scale BV formulation for a specific frame-like action which seems to be
previously unknown. Remarkably, the underlying frame-like description requires
no artificial off-shell constraints. Instead, the action becomes equivalent to
the usual conformal gravity one, upon gauging away all the variables belonging
to the kernel of the presymplectic structure. Finally, we show how the
presymplectic BV-AKSZ approach extends to generic gauge theories.
| [
{
"created": "Thu, 4 Aug 2022 23:58:56 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Nov 2022 19:42:49 GMT",
"version": "v2"
}
] | 2023-01-25 | [
[
"Dneprov",
"Ivan",
""
],
[
"Grigoriev",
"Maxim",
""
]
] | We elaborate on the presymplectic BV-AKSZ approach to local gauge theories and apply it to conformal gravity. More specifically, we identify a compatible presymplectic structure on the minimal model of the total BRST complex of this theory and show that together with the BRST differential it determines a full-scale BV formulation for a specific frame-like action which seems to be previously unknown. Remarkably, the underlying frame-like description requires no artificial off-shell constraints. Instead, the action becomes equivalent to the usual conformal gravity one, upon gauging away all the variables belonging to the kernel of the presymplectic structure. Finally, we show how the presymplectic BV-AKSZ approach extends to generic gauge theories. |
hep-th/9804023 | Boris Pioline | B. Pioline (CPHT, Ecole polytechnique) | A note on non-perturbative R^4 couplings | 6 pages, uses amsmath and amssymb; typo in eq.(2) corrected; final
version to be published in Phys. Lett. B | Phys.Lett. B431 (1998) 73-76 | 10.1016/S0370-2693(98)00554-1 | CPTH-S604.0498 | hep-th | null | Exact non-perturbative results have been conjectured for R^4 couplings in
type II maximally supersymmetric string theory. Strong evidence has already
been obtained, but contributions of cusp forms, invisible in perturbation
theory, have remained an open possibility. In this note, we use the D=8 N=2
superfield formalism of Berkovits to prove that supersymmetry requires the
exact R^4 threshold to be an eigenmode of the Laplacian on the scalar manifold
with a definite eigenvalue. Supersymmetry and U-duality invariance then
identify the exact result with the order-3/2 Eisenstein series, and rule out
cusp form contributions.
| [
{
"created": "Thu, 2 Apr 1998 18:32:49 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Apr 1998 19:10:27 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Pioline",
"B.",
"",
"CPHT, Ecole polytechnique"
]
] | Exact non-perturbative results have been conjectured for R^4 couplings in type II maximally supersymmetric string theory. Strong evidence has already been obtained, but contributions of cusp forms, invisible in perturbation theory, have remained an open possibility. In this note, we use the D=8 N=2 superfield formalism of Berkovits to prove that supersymmetry requires the exact R^4 threshold to be an eigenmode of the Laplacian on the scalar manifold with a definite eigenvalue. Supersymmetry and U-duality invariance then identify the exact result with the order-3/2 Eisenstein series, and rule out cusp form contributions. |
1706.08912 | Ctirad Klimcik | Ctirad Klimcik | Yang-Baxter $\sigma$-model with WZNW term as ${ \mathcal E}$-model | 10 pages, version to appear in Physics Letters B | null | 10.1016/j.physletb.2017.07.051 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It turns out that many integrable $\sigma$-models on group manifolds belong
to the class of the so-called ${ \mathcal E}$-models which are relevant in the
context of the Poisson-Lie T-duality. We show that this is the case also for
the Yang-Baxter $\sigma$-model with WZNW term introduced by Delduc, Magro and
Vicedo in \cite{DMV15}.
| [
{
"created": "Tue, 27 Jun 2017 15:42:43 GMT",
"version": "v1"
},
{
"created": "Mon, 31 Jul 2017 14:10:07 GMT",
"version": "v2"
}
] | 2017-10-11 | [
[
"Klimcik",
"Ctirad",
""
]
] | It turns out that many integrable $\sigma$-models on group manifolds belong to the class of the so-called ${ \mathcal E}$-models which are relevant in the context of the Poisson-Lie T-duality. We show that this is the case also for the Yang-Baxter $\sigma$-model with WZNW term introduced by Delduc, Magro and Vicedo in \cite{DMV15}. |
hep-th/0409084 | Michael Sarrazin | Fabrice Petit, Michael Sarrazin | Quantum dynamics of massive particles in a non-commutative two-sheeted
space-time | 10 pages, no figures. Slightly improved version. Accepted for
publication in Physics Letters B | Phys.Lett. B612 (2005) 105-114 | 10.1016/j.physletb.2005.03.016 | null | hep-th gr-qc hep-ph | null | We study a formal extension of the Dirac equation in the framework of a
non-commutative two-sheeted space-time. It is shown that this approach
naturally extends the classical Dirac theory by doubling the number of
fermionic states, which can then be identified as matter and hidden-matter
states. Our model exhibit several interesting features that could have
observational consequences. Among them, we predict a small electromagnetic
coupling between matter and hidden matter universes which should lead to
matter/hidden matter oscillations in presence of intense electromagnetic vector
potentials.
| [
{
"created": "Tue, 7 Sep 2004 16:21:26 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Mar 2005 14:16:55 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Petit",
"Fabrice",
""
],
[
"Sarrazin",
"Michael",
""
]
] | We study a formal extension of the Dirac equation in the framework of a non-commutative two-sheeted space-time. It is shown that this approach naturally extends the classical Dirac theory by doubling the number of fermionic states, which can then be identified as matter and hidden-matter states. Our model exhibit several interesting features that could have observational consequences. Among them, we predict a small electromagnetic coupling between matter and hidden matter universes which should lead to matter/hidden matter oscillations in presence of intense electromagnetic vector potentials. |
2202.08133 | Kanghoon Lee | Kanghoon Lee | Quantum Off-Shell Recursion Relation | 33 pages, 4 figures; v2: typos fixed and references added, published
version | JHEP 05 (2022) 051 | 10.1007/JHEP05(2022)051 | null | hep-th hep-ph | http://creativecommons.org/licenses/by-nc-nd/4.0/ | We construct off-shell recursion relations for arbitrary loop-level
scattering amplitudes beyond the conventional tree-level recursion relations
for $\phi^{4}$-theory and the Yang-Mills theory. We define a quantum
perturbiner expansion that includes loop corrections from the quantum effective
action formalism by identifying the external source. Our method clearly shows
how the perturbiner expansion becomes an off-shell current generating function.
Instead of using the classical equations of motion in the conventional
perturbiner method, we exploit the Dyson-Schwinger equation to derive the
quantum off-shell recursion relation to arbitrary order of loop-level
scattering amplitudes. We solve the recursion relation and reproduce the
results which agree up to one-loop six-point scattering amplitudes for
$\phi^{4}$-theory. Furthermore, we construct the recursions for computing
loop-level correlation functions by replacing the choice of the external
source.
| [
{
"created": "Wed, 16 Feb 2022 15:21:49 GMT",
"version": "v1"
},
{
"created": "Sat, 21 May 2022 01:31:13 GMT",
"version": "v2"
}
] | 2022-05-25 | [
[
"Lee",
"Kanghoon",
""
]
] | We construct off-shell recursion relations for arbitrary loop-level scattering amplitudes beyond the conventional tree-level recursion relations for $\phi^{4}$-theory and the Yang-Mills theory. We define a quantum perturbiner expansion that includes loop corrections from the quantum effective action formalism by identifying the external source. Our method clearly shows how the perturbiner expansion becomes an off-shell current generating function. Instead of using the classical equations of motion in the conventional perturbiner method, we exploit the Dyson-Schwinger equation to derive the quantum off-shell recursion relation to arbitrary order of loop-level scattering amplitudes. We solve the recursion relation and reproduce the results which agree up to one-loop six-point scattering amplitudes for $\phi^{4}$-theory. Furthermore, we construct the recursions for computing loop-level correlation functions by replacing the choice of the external source. |
1801.08387 | Marianne Leitner | Marianne Leitner | The $(2,5)$ minimal model on genus two surfaces | 53 pages. The title is modified. Better organisation of the
expansions, and comment on the period matrix included | null | null | DIAS-STP-17-11 | hep-th math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the $(2,5)$ minimal model, the partition function for genus $g=2$ Riemann
surfaces is given by a $5$-tuple of functions with appropriate transformation
under the mapping class group. These functions generalise the two
Rogers-Ramanujan functions for the torus. Their expansions around a locus of
surfaces with conical singularities in the interior of the $g=2$ Siegel upper
half plane are obtained in terms of standard modular forms. The dependence on
the metric is controlled by a canonical choice of flat surface metrics. In the
alternative case where a handle of the $g=2$ surface is pinched, our method
requires knowledge of the two-point function of the fundamental lowest-weight
vector in the non-vacuum representation of the Virasoro algebra, for which we
derive a $3$\ts{rd} order ODE. In order to make the paper more accessible to
mathematicians, the exposition includes a short introduction to conformal field
theory on Riemann surfaces, which may be of independent interest.
| [
{
"created": "Thu, 25 Jan 2018 12:56:13 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Jun 2018 17:17:48 GMT",
"version": "v2"
},
{
"created": "Fri, 21 Dec 2018 17:18:39 GMT",
"version": "v3"
},
{
"created": "Sun, 9 May 2021 22:23:29 GMT",
"version": "v4"
},
{
"created": "Tue, 15 Jun 2021 23:45:24 GMT",
"version": "v5"
}
] | 2021-06-17 | [
[
"Leitner",
"Marianne",
""
]
] | In the $(2,5)$ minimal model, the partition function for genus $g=2$ Riemann surfaces is given by a $5$-tuple of functions with appropriate transformation under the mapping class group. These functions generalise the two Rogers-Ramanujan functions for the torus. Their expansions around a locus of surfaces with conical singularities in the interior of the $g=2$ Siegel upper half plane are obtained in terms of standard modular forms. The dependence on the metric is controlled by a canonical choice of flat surface metrics. In the alternative case where a handle of the $g=2$ surface is pinched, our method requires knowledge of the two-point function of the fundamental lowest-weight vector in the non-vacuum representation of the Virasoro algebra, for which we derive a $3$\ts{rd} order ODE. In order to make the paper more accessible to mathematicians, the exposition includes a short introduction to conformal field theory on Riemann surfaces, which may be of independent interest. |
hep-th/0307238 | Christopher Pope | G.W. Gibbons, R. Guven and C.N. Pope | 3-Branes and Uniqueness of the Salam-Sezgin Vacuum | Latex, 12 pages; typos corrected, discussion of brane tensions
amended | Phys.Lett.B595:498-504,2004 | 10.1016/j.physletb.2004.06.048 | DAMTP-2003-70, MIFP-03-17 | hep-th | null | We prove the uniqueness of the supersymmetric Salam-Sezgin
(Minkowski)_4\times S^2 ground state among all nonsingular solutions with a
four-dimensional Poincare, de Sitter or anti-de Sitter symmetry. We construct
the most general solutions with an axial symmetry in the two-dimensional
internal space, and show that included amongst these is a family that is
non-singular away from a conical defect at one pole of a distorted 2-sphere.
These solutions admit the interpretation of 3-branes with negative tension.
| [
{
"created": "Thu, 24 Jul 2003 18:49:00 GMT",
"version": "v1"
},
{
"created": "Sat, 13 Sep 2003 01:30:22 GMT",
"version": "v2"
},
{
"created": "Tue, 18 May 2004 12:11:19 GMT",
"version": "v3"
}
] | 2016-09-06 | [
[
"Gibbons",
"G. W.",
""
],
[
"Guven",
"R.",
""
],
[
"Pope",
"C. N.",
""
]
] | We prove the uniqueness of the supersymmetric Salam-Sezgin (Minkowski)_4\times S^2 ground state among all nonsingular solutions with a four-dimensional Poincare, de Sitter or anti-de Sitter symmetry. We construct the most general solutions with an axial symmetry in the two-dimensional internal space, and show that included amongst these is a family that is non-singular away from a conical defect at one pole of a distorted 2-sphere. These solutions admit the interpretation of 3-branes with negative tension. |
1311.7578 | Li Li | Rong-Gen Cai, Li Li, Li-Fang Li, You Wu | Vector Condensate and AdS Soliton Instability Induced by a Magnetic
Field | v2: minor changes, to appear in JHEP. arXiv admin note: text overlap
with arXiv:1309.2098 | JHEP 1401 (2014) 045 | 10.1007/JHEP01(2014)045 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We continue to study the holographic p-wave superconductor model in the
Einstein-Maxwell-complex vector field theory with a non-minimal coupling
between the complex vector field and the Maxwell field. In this paper we work
in the AdS soliton background which describes a conformal field theory in the
confined phase and focus on the probe approximation. We find that an applied
magnetic field can lead to the condensate of the vector field and the AdS
soliton instability. As a result, a vortex lattice structure forms in the
spatial directions perpendicular to the applied magnetic field. As a
comparison, we also discuss the vector condensate in the Einstein-SU(2)
Yang-Mills theory and find that in the setup of the present paper, the
Einstein-Maxwell-complex vector field model is a generalization of the SU(2)
model in the sense that the vector field has a general mass and gyromagnetic
ratio.
| [
{
"created": "Fri, 29 Nov 2013 14:28:31 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Jan 2014 12:24:45 GMT",
"version": "v2"
}
] | 2014-01-27 | [
[
"Cai",
"Rong-Gen",
""
],
[
"Li",
"Li",
""
],
[
"Li",
"Li-Fang",
""
],
[
"Wu",
"You",
""
]
] | We continue to study the holographic p-wave superconductor model in the Einstein-Maxwell-complex vector field theory with a non-minimal coupling between the complex vector field and the Maxwell field. In this paper we work in the AdS soliton background which describes a conformal field theory in the confined phase and focus on the probe approximation. We find that an applied magnetic field can lead to the condensate of the vector field and the AdS soliton instability. As a result, a vortex lattice structure forms in the spatial directions perpendicular to the applied magnetic field. As a comparison, we also discuss the vector condensate in the Einstein-SU(2) Yang-Mills theory and find that in the setup of the present paper, the Einstein-Maxwell-complex vector field model is a generalization of the SU(2) model in the sense that the vector field has a general mass and gyromagnetic ratio. |
2201.08293 | Ruben Campos Delgado | Ruben Campos Delgado | Quantum Gravitational Corrections to the Entropy of a
Reissner-Nordstr\"om Black Hole | 18 pages. v3: corrected expression of functional derivative and
numerical factors for entropy and pressure. Final version published as an
erratum in Eur. Phys. J. C | null | 10.1140/epjc/s10052-022-10232-0 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | Starting from an effective action for quantum gravity, we calculate the
quantum gravitational corrections to the Wald entropy of a four dimensional
non-extremal Reissner-Nordstr\"om (RN) black hole in the limit of small
electric charge, generalising a previous calculation carried out by Calmet and
Kuipers [1] for a Schwarzschild black hole. We show that, at second order in
the Ricci curvature, the RN metric receives quantum corrections which shift the
classical position of the event horizon. We apply the Wald entropy formula by
integrating over the perimeter of the quantum corrected event horizon. We then
compute the quantum gravitational corrections to the temperature and the
pressure of the black hole.
| [
{
"created": "Thu, 20 Jan 2022 16:58:39 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Mar 2022 13:02:43 GMT",
"version": "v2"
},
{
"created": "Sun, 21 May 2023 10:14:00 GMT",
"version": "v3"
}
] | 2023-05-23 | [
[
"Delgado",
"Ruben Campos",
""
]
] | Starting from an effective action for quantum gravity, we calculate the quantum gravitational corrections to the Wald entropy of a four dimensional non-extremal Reissner-Nordstr\"om (RN) black hole in the limit of small electric charge, generalising a previous calculation carried out by Calmet and Kuipers [1] for a Schwarzschild black hole. We show that, at second order in the Ricci curvature, the RN metric receives quantum corrections which shift the classical position of the event horizon. We apply the Wald entropy formula by integrating over the perimeter of the quantum corrected event horizon. We then compute the quantum gravitational corrections to the temperature and the pressure of the black hole. |
0908.1387 | Andrew Frey | Andrew R. Frey, Rebecca J. Danos, James M. Cline (McGill University) | Warped Kaluza-Klein Dark Matter | 37pp; v2. references, minor clarification | null | 10.1088/1126-6708/2009/11/102 | null | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Warped compactifications of type IIB string theory contain natural dark
matter candidates: Kaluza-Klein modes along approximate isometry directions of
long warped throats. These isometries are broken by the full compactification,
including moduli stabilization; we present a thorough survey of Kaluza-Klein
mode decay rates into light supergravity modes and Standard Model particles. We
find that these dark matter candidates typically have lifetimes longer than the
age of the universe. Interestingly, some choices for embedding the Standard
Model in the compactification lead to decay rates large enough to be observed,
so this dark matter sector may provide constraints on the parameter space of
the compactification.
| [
{
"created": "Mon, 10 Aug 2009 20:01:04 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Aug 2009 20:05:05 GMT",
"version": "v2"
}
] | 2015-05-13 | [
[
"Frey",
"Andrew R.",
"",
"McGill University"
],
[
"Danos",
"Rebecca J.",
"",
"McGill University"
],
[
"Cline",
"James M.",
"",
"McGill University"
]
] | Warped compactifications of type IIB string theory contain natural dark matter candidates: Kaluza-Klein modes along approximate isometry directions of long warped throats. These isometries are broken by the full compactification, including moduli stabilization; we present a thorough survey of Kaluza-Klein mode decay rates into light supergravity modes and Standard Model particles. We find that these dark matter candidates typically have lifetimes longer than the age of the universe. Interestingly, some choices for embedding the Standard Model in the compactification lead to decay rates large enough to be observed, so this dark matter sector may provide constraints on the parameter space of the compactification. |
hep-th/9703076 | Tomasz Taylor | I. Antoniadis, H. Partouche, T.R. Taylor | Duality of N=2 Heterotic -- Type I Compactifications in Four Dimensions | 22 pages, LaTeX; typos corrected and references added | Nucl.Phys.B499:29-44,1997 | 10.1016/S0550-3213(97)00322-2 | CERN-TH/97-43, NUB-3155, CPTH-S498.0397 | hep-th | null | We discuss type I -- heterotic duality in four-dimensional models obtained as
a Coulomb phase of the six-dimensional U(16) orientifold model compactified on
T^2 with arbitrary SU(16) Wilson lines. We show that Kahler potentials, gauge
threshold corrections and the infinite tower of higher derivative F-terms agree
in the limit that corresponds to weak coupling, large T^2 heterotic
compactifications. On the type I side, all these quantities are completely
determined by the spectrum of N=2 BPS states that originate from D=6 massless
superstring modes.
| [
{
"created": "Tue, 11 Mar 1997 00:06:58 GMT",
"version": "v1"
},
{
"created": "Fri, 9 May 1997 22:19:08 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Antoniadis",
"I.",
""
],
[
"Partouche",
"H.",
""
],
[
"Taylor",
"T. R.",
""
]
] | We discuss type I -- heterotic duality in four-dimensional models obtained as a Coulomb phase of the six-dimensional U(16) orientifold model compactified on T^2 with arbitrary SU(16) Wilson lines. We show that Kahler potentials, gauge threshold corrections and the infinite tower of higher derivative F-terms agree in the limit that corresponds to weak coupling, large T^2 heterotic compactifications. On the type I side, all these quantities are completely determined by the spectrum of N=2 BPS states that originate from D=6 massless superstring modes. |
1911.01742 | Rodolfo Jos\'e Bueno Rogerio | R. J. Bueno Rogerio, C. H. Coronado Villalobos and A. R. Aguirre | A hint towards mass dimension one Flag-dipole spinors | 11 pages, 0 figures | Eur. Phys. J. C (2019) 79: 991 | 10.1140/epjc/s10052-019-7518-5 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this report we advance in exploring further details concerning the formal
aspects of the construction of a Flag-dipole spinor. We report a
(re-)definition of the dual structure which provide a Lorentz invariant and
non-null norm, ensuring a local theory. With the new dual structure at hands,
we look towards define relevant physical amounts, e.g., spin sums and quantum
field operator. As we will see, the Flag-dipole and the Elko's theory are quite
familar. In this vein, it is possible, via a matrix transformation, to write
Flag-dipole spinors in terms of Elko spinor, evincing that both spinors are
physically related and some physical amounts may be stated as equivalent.
| [
{
"created": "Tue, 5 Nov 2019 12:34:09 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Nov 2019 13:33:12 GMT",
"version": "v2"
}
] | 2019-12-10 | [
[
"Rogerio",
"R. J. Bueno",
""
],
[
"Villalobos",
"C. H. Coronado",
""
],
[
"Aguirre",
"A. R.",
""
]
] | In this report we advance in exploring further details concerning the formal aspects of the construction of a Flag-dipole spinor. We report a (re-)definition of the dual structure which provide a Lorentz invariant and non-null norm, ensuring a local theory. With the new dual structure at hands, we look towards define relevant physical amounts, e.g., spin sums and quantum field operator. As we will see, the Flag-dipole and the Elko's theory are quite familar. In this vein, it is possible, via a matrix transformation, to write Flag-dipole spinors in terms of Elko spinor, evincing that both spinors are physically related and some physical amounts may be stated as equivalent. |
hep-th/0103157 | Masato Arai | Masato Arai and Nobuchika Okada | Vacuum structure of spontaneously broken N=2 supersymmetric gauge theory | 27 pages, revtex, 14 figures, some typographical errors are
corrected. To be published in Phys. Rev. D | Phys.Rev. D64 (2001) 025024 | 10.1103/PhysRevD.64.025024 | KEK-TH-750 | hep-th hep-ph | null | We analyze the vacuum structure of spontaneously broken N=2 supersymmetric
gauge theory with the Fayet-Iliopoulos term. Our theory is based on the gauge
group SU(2) \times U(1) with N_f=1,2 massless quark hypermultiplets having the
same U(1) charges. In the classical potential, there are degenerate vacua even
in the absence of supersymmetry. It is shown that this vacuum degeneracy is
smoothed out, once quantum corrections are taken into account. In N_f=1 case,
the effective potential is found to be so-called runaway type, and there is
neither well-defined vacuum nor local minimum. On the other hand, in N_f=2
case, while there is also the runaway direction in the effective potential, we
find the possibility that there appears the local minimum with broken
supersymmetry at the degenerate dyon point.
| [
{
"created": "Tue, 20 Mar 2001 05:38:57 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Apr 2001 17:31:17 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Arai",
"Masato",
""
],
[
"Okada",
"Nobuchika",
""
]
] | We analyze the vacuum structure of spontaneously broken N=2 supersymmetric gauge theory with the Fayet-Iliopoulos term. Our theory is based on the gauge group SU(2) \times U(1) with N_f=1,2 massless quark hypermultiplets having the same U(1) charges. In the classical potential, there are degenerate vacua even in the absence of supersymmetry. It is shown that this vacuum degeneracy is smoothed out, once quantum corrections are taken into account. In N_f=1 case, the effective potential is found to be so-called runaway type, and there is neither well-defined vacuum nor local minimum. On the other hand, in N_f=2 case, while there is also the runaway direction in the effective potential, we find the possibility that there appears the local minimum with broken supersymmetry at the degenerate dyon point. |
1406.4292 | Sang Pyo Kim | Sang Pyo Kim (Kunsan Natl Univ), Hyun Kyu Lee (Hanyang Univ) | QED Actions in Supercritical Fields | RevTex 6 pages, no figure | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the in-out formalism we advance a new method to represent the gamma
function for QED actions in supercritical fields, which is complementary to the
proper-time integral representation in Phys. Rev. D 78, 105013 (2008) and Phys.
Rev. D 84, 065004 (2011). The new method directly yields the QED action in
terms of the Hurwitz zeta function in a constant magnetic field and the complex
QED action in a constant electric field. The complex action exactly gives the
vacuum polarization and the vacuum persistence and thereby the pair-production
rate in the electric field. The QED actions exhibit the electromagnetic
duality.
| [
{
"created": "Tue, 17 Jun 2014 09:37:22 GMT",
"version": "v1"
}
] | 2014-06-18 | [
[
"Kim",
"Sang Pyo",
"",
"Kunsan Natl Univ"
],
[
"Lee",
"Hyun Kyu",
"",
"Hanyang Univ"
]
] | In the in-out formalism we advance a new method to represent the gamma function for QED actions in supercritical fields, which is complementary to the proper-time integral representation in Phys. Rev. D 78, 105013 (2008) and Phys. Rev. D 84, 065004 (2011). The new method directly yields the QED action in terms of the Hurwitz zeta function in a constant magnetic field and the complex QED action in a constant electric field. The complex action exactly gives the vacuum polarization and the vacuum persistence and thereby the pair-production rate in the electric field. The QED actions exhibit the electromagnetic duality. |
hep-th/0309134 | Mohammad Reza Setare | M. R. Setare | Logarithmic correction to the Cardy-Verlinde formula in Achucarro-Oritz
Black Hole | 10 pages, no figure,LaTeX,,references added, typos
corrected,clarifying comments added in Introduction, no physics changed,
version to appear in Eur.Phys.J.C (2004) | Eur.Phys.J. C33 (2004) 555-559 | 10.1140/epjc/s2004-01648-1 | null | hep-th | null | In this paper we calculate leading order correction due to small statistical
fluctuations around equilibrium, to the Bekenstein-Hawking entropy formula for
the Achucarro-Oritz black hole, which is the most general two-dimensional black
hole derived from the three-dimensional rotating Banados-Teitelboim-Zanelli
black hole. Then we obtain the same correction to the Cardy-Verlinde entropy
formula (which is supposed to be an entropy formula of conformal field theory
in any dimension).
| [
{
"created": "Sat, 13 Sep 2003 13:51:18 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Jan 2004 13:53:00 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Setare",
"M. R.",
""
]
] | In this paper we calculate leading order correction due to small statistical fluctuations around equilibrium, to the Bekenstein-Hawking entropy formula for the Achucarro-Oritz black hole, which is the most general two-dimensional black hole derived from the three-dimensional rotating Banados-Teitelboim-Zanelli black hole. Then we obtain the same correction to the Cardy-Verlinde entropy formula (which is supposed to be an entropy formula of conformal field theory in any dimension). |
2109.01140 | Aram Saharian | V. Kh. Kotanjyan, A. A. Saharian, M. R. Setare | Vacuum currents in partially compactified Rindler spacetime with an
application to cylindrical black holes | 16 pages, 2 figures, discussion and references added | Nuclear Physics B 980 (2022) 115838 | 10.1016/j.nuclphysb.2022.115838 | null | hep-th gr-qc quant-ph | http://creativecommons.org/licenses/by/4.0/ | The vacuum expectation value of the current density for a charged scalar
field is investigated in Rindler spacetime with a part of spatial dimensions
compactified to a torus. It is assumed that the field is prepared in the
Fulling-Rindler vacuum state. For general values of the phases in the
periodicity conditions and the lengths of compact dimensions, the expressions
are provided for the Hadamard function and vacuum currents. The current density
along compact dimensions is a periodic function of the magnetic flux enclosed
by those dimensions and vanishes on the Rindler horizon. The obtained results
are compared with the corresponding currents in the Minkowski vacuum. The
near-horizon and large-distance asymptotics are discussed for the vacuum
currents around cylindrical black holes. In the near-horizon approximation the
lengths of compact dimensions are determined by the horizon radius. At large
distances from the horizon the geometry is approximated by a locally anti-de
Sitter spacetime with toroidally compact dimensions and the lengths of compact
dimensions are determined by negative cosmological constant.
| [
{
"created": "Thu, 2 Sep 2021 11:44:28 GMT",
"version": "v1"
},
{
"created": "Thu, 26 May 2022 09:19:01 GMT",
"version": "v2"
}
] | 2022-05-27 | [
[
"Kotanjyan",
"V. Kh.",
""
],
[
"Saharian",
"A. A.",
""
],
[
"Setare",
"M. R.",
""
]
] | The vacuum expectation value of the current density for a charged scalar field is investigated in Rindler spacetime with a part of spatial dimensions compactified to a torus. It is assumed that the field is prepared in the Fulling-Rindler vacuum state. For general values of the phases in the periodicity conditions and the lengths of compact dimensions, the expressions are provided for the Hadamard function and vacuum currents. The current density along compact dimensions is a periodic function of the magnetic flux enclosed by those dimensions and vanishes on the Rindler horizon. The obtained results are compared with the corresponding currents in the Minkowski vacuum. The near-horizon and large-distance asymptotics are discussed for the vacuum currents around cylindrical black holes. In the near-horizon approximation the lengths of compact dimensions are determined by the horizon radius. At large distances from the horizon the geometry is approximated by a locally anti-de Sitter spacetime with toroidally compact dimensions and the lengths of compact dimensions are determined by negative cosmological constant. |
hep-th/0506092 | James Gray | James Gray and Emily Hackett-Jones | On T-folds, G-structures and Supersymmetry | 22 pages, References and some additional discussion added | JHEP 0605 (2006) 071 | 10.1088/1126-6708/2006/05/071 | DCPT-05/27 EMPG-05-12 | hep-th | null | We describe how to calculate the amount of supersymmetry associated to a
class of supergravity theories obtained by compactification on T-folds. We
illustrate our discussion by calculating the degree of supersymmetry enjoyed by
a particular set of massive supergravities which have been obtained in the
literature by compactifying type II supergravity on such backgrounds. Our
discussion involves a modification of the usual arguments, based upon
G-structures, for the amount of supersymmetry preserved by geometric
compactifications.
| [
{
"created": "Sat, 11 Jun 2005 15:51:59 GMT",
"version": "v1"
},
{
"created": "Thu, 4 May 2006 13:52:10 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Gray",
"James",
""
],
[
"Hackett-Jones",
"Emily",
""
]
] | We describe how to calculate the amount of supersymmetry associated to a class of supergravity theories obtained by compactification on T-folds. We illustrate our discussion by calculating the degree of supersymmetry enjoyed by a particular set of massive supergravities which have been obtained in the literature by compactifying type II supergravity on such backgrounds. Our discussion involves a modification of the usual arguments, based upon G-structures, for the amount of supersymmetry preserved by geometric compactifications. |
1608.08695 | Dong-han Yeom | Pisin Chen, Chih-Hung Wu, Dong-han Yeom | Broken bridges: A counter-example of the ER=EPR conjecture | 20 pages, 9 figures | JCAP 06 (2017) 040 | 10.1088/1475-7516/2017/06/040 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we provide a counter-example to the ER=EPR conjecture. In an
anti-de Sitter space, we construct a pair of maximally entangled but separated
black holes. Due to the vacuum decay of the anti-de Sitter background toward a
deeper vacuum, these two parts can be trapped by bubbles. If these bubbles are
reasonably large, then within the scrambling time, there should appear an
Einstein-Rosen bridge between the two black holes. Now by tracing more details
on the bubble dynamics, one can identify parameters such that one of the two
bubbles either monotonically shrinks or expands. Because of the change of
vacuum energy, one side of the black hole would evaporate completely. Due to
the shrinking of the apparent horizon, a signal of one side of the
Einstein-Rosen bridge can be viewed from the opposite side. We analytically and
numerically demonstrate that within a reasonable semi-classical parameter
regime, such process can happen. Bubbles are a non-perturbative effect, which
is the crucial reason that allows the transmission of information between the
two black holes through the Einstein-Rosen bridge, even though the probability
is highly suppressed. Therefore, the ER=EPR conjecture cannot be generic in its
present form and its validity maybe restricted.
| [
{
"created": "Wed, 31 Aug 2016 00:23:40 GMT",
"version": "v1"
},
{
"created": "Sun, 11 Jun 2017 13:05:00 GMT",
"version": "v2"
},
{
"created": "Fri, 23 Jun 2017 17:36:10 GMT",
"version": "v3"
}
] | 2017-06-26 | [
[
"Chen",
"Pisin",
""
],
[
"Wu",
"Chih-Hung",
""
],
[
"Yeom",
"Dong-han",
""
]
] | In this paper, we provide a counter-example to the ER=EPR conjecture. In an anti-de Sitter space, we construct a pair of maximally entangled but separated black holes. Due to the vacuum decay of the anti-de Sitter background toward a deeper vacuum, these two parts can be trapped by bubbles. If these bubbles are reasonably large, then within the scrambling time, there should appear an Einstein-Rosen bridge between the two black holes. Now by tracing more details on the bubble dynamics, one can identify parameters such that one of the two bubbles either monotonically shrinks or expands. Because of the change of vacuum energy, one side of the black hole would evaporate completely. Due to the shrinking of the apparent horizon, a signal of one side of the Einstein-Rosen bridge can be viewed from the opposite side. We analytically and numerically demonstrate that within a reasonable semi-classical parameter regime, such process can happen. Bubbles are a non-perturbative effect, which is the crucial reason that allows the transmission of information between the two black holes through the Einstein-Rosen bridge, even though the probability is highly suppressed. Therefore, the ER=EPR conjecture cannot be generic in its present form and its validity maybe restricted. |
hep-th/0501245 | Hisham Sati | Hisham Sati | M-theory and Characteristic Classes | 8 pages. Error in gravitational term fixed; minor corrections;
reference and acknowledgement added | JHEP 0508 (2005) 020 | 10.1088/1126-6708/2005/08/020 | null | hep-th math.AT | null | In this note we show that the Chern-Simons and the one-loop terms in the
M-theory action can be written in terms of new characters involving the
M-theory four-form and the string classes. This sheds a new light on the
topological structure behind M-theory and suggests the construction of a theory
of `higher' characteristic classes.
| [
{
"created": "Mon, 31 Jan 2005 20:42:58 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Mar 2005 05:34:11 GMT",
"version": "v2"
},
{
"created": "Mon, 20 Jun 2005 06:13:07 GMT",
"version": "v3"
}
] | 2009-11-11 | [
[
"Sati",
"Hisham",
""
]
] | In this note we show that the Chern-Simons and the one-loop terms in the M-theory action can be written in terms of new characters involving the M-theory four-form and the string classes. This sheds a new light on the topological structure behind M-theory and suggests the construction of a theory of `higher' characteristic classes. |
hep-th/0211160 | Tom Banks | T.Banks | Heretics of the False Vacuum: Gravitational Effects On and Of Vacuum
Decay 2 | 34 pages, JHEP3 LaTex, 3 eps figures | null | null | RUNHETC-2002-44, SCIPP-02/27 | hep-th | null | This paper reexamines the question of vacuum decay in theories of quantum
gravity. In particular it suggests that decay into stable flat or AdS vacua,
never occurs. Instead, vacuum decay occurs, if at all, into a cosmological
spacetime. If the latter has negative cosmological constant, it undergoes a Big
Crunch, which suggests that the whole picture is inconsistent. The question of
decay of de Sitter space must be very carefully defined.
| [
{
"created": "Mon, 18 Nov 2002 15:19:53 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Jan 2003 23:36:48 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Banks",
"T.",
""
]
] | This paper reexamines the question of vacuum decay in theories of quantum gravity. In particular it suggests that decay into stable flat or AdS vacua, never occurs. Instead, vacuum decay occurs, if at all, into a cosmological spacetime. If the latter has negative cosmological constant, it undergoes a Big Crunch, which suggests that the whole picture is inconsistent. The question of decay of de Sitter space must be very carefully defined. |
0807.4863 | Jianxin Lu | J. X. Lu, Bo Ning and Guan-Nan Zhong | On the low energy brane/anti-brane dynamics | 15 pages, 2 figures; shorten version published in Phys. Lett B | Phys.Lett.B670:78-83,2008 | 10.1016/j.physletb.2008.10.023 | USTC-ICTS-08-17 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the dynamical behavior of a pair of Dp-brane and anti Dp-brane ($0
\leq p \leq 6$) moving parallel to each other in the region where the brane and
anti-brane annihilation will not occur and the low energy description is valid.
Given this, we perform a general analysis, in the center of mass frame, of the
behavior of the effective potential with respect to the relative brane
separation and find that the classical orbits of this system are in general
unbound except for $p = 6$ case for which classical bound orbits exist. The
non-linearity of the low energy DBI action for D-brane is important for the
underlying dynamics. We solve also the explicit orbits for $p = 6$ case.
| [
{
"created": "Wed, 30 Jul 2008 13:45:35 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Jan 2009 20:02:04 GMT",
"version": "v2"
}
] | 2009-01-26 | [
[
"Lu",
"J. X.",
""
],
[
"Ning",
"Bo",
""
],
[
"Zhong",
"Guan-Nan",
""
]
] | We study the dynamical behavior of a pair of Dp-brane and anti Dp-brane ($0 \leq p \leq 6$) moving parallel to each other in the region where the brane and anti-brane annihilation will not occur and the low energy description is valid. Given this, we perform a general analysis, in the center of mass frame, of the behavior of the effective potential with respect to the relative brane separation and find that the classical orbits of this system are in general unbound except for $p = 6$ case for which classical bound orbits exist. The non-linearity of the low energy DBI action for D-brane is important for the underlying dynamics. We solve also the explicit orbits for $p = 6$ case. |
hep-th/0208151 | George Leontaris | E.G. Floratos, G.K. Leontaris | Non-Collapsing Membrane Instantons in Higher Dimensions | 14 pages, 2 figures | Phys.Lett. B545 (2002) 190-196 | 10.1016/S0370-2693(02)02550-9 | CERN-TH/02-198 | hep-th | null | We introduce a particular embedding of seven dimensional self-duality
membrane equations in C^3\times R which breaks G_2 invariance down to SU(3).
The world-volume membrane instantons define SU(3) special lagrangian
submanifolds of C^3. We discuss in detail solutions for spherical and toroidal
topologies assuming factorization of time. We show that the extra dimensions
manifest themselves in the solutions through the appearance of a non-zero
conserved charge which prevents the collapse of the membrane. We find
non-collapsing rotating membrane instantons which contract from infinite size
to a finite one and then they bounce to infinity in finite time. Their motion
is periodic. These generalized complex Nahm equations, in the axially symmetric
case, lead to extensions of the continuous Toda equation to complex space.
| [
{
"created": "Wed, 21 Aug 2002 15:16:13 GMT",
"version": "v1"
}
] | 2010-04-05 | [
[
"Floratos",
"E. G.",
""
],
[
"Leontaris",
"G. K.",
""
]
] | We introduce a particular embedding of seven dimensional self-duality membrane equations in C^3\times R which breaks G_2 invariance down to SU(3). The world-volume membrane instantons define SU(3) special lagrangian submanifolds of C^3. We discuss in detail solutions for spherical and toroidal topologies assuming factorization of time. We show that the extra dimensions manifest themselves in the solutions through the appearance of a non-zero conserved charge which prevents the collapse of the membrane. We find non-collapsing rotating membrane instantons which contract from infinite size to a finite one and then they bounce to infinity in finite time. Their motion is periodic. These generalized complex Nahm equations, in the axially symmetric case, lead to extensions of the continuous Toda equation to complex space. |
2012.14732 | Giacomo Cacciapaglia | Giacomo Cacciapaglia, Alan S. Cornell, Corentin Cot, Aldo Deandrea | Minimal SU(5) Asymptotic Grand Unification | 22 pages, 3 figures. v2: Extended discussion of the Yukawa running | null | 10.1103/PhysRevD.104.075012 | null | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | We present a minimal model of asymptotic grand unification based on an
$SU(5)$ gauge theory in a compact $S^1/(\mathbb{Z}_2 \times \mathbb{Z}'_2)$
orbifold. The gauge couplings run to a unified fixed point in the UV, without
supersymmetry. By construction, fermions are embedded in different $SU(5)$ bulk
fields. As a consequence, baryon number is conserved, thus preventing proton
decay, and the lightest Kaluza-Klein tier consists of new states that cannot
decay into standard model ones. We show that the Yukawa couplings can be either
in the bulk or localized, and run to an asymptotically free fixed point in the
UV. The lightest massive state can play the role of Dark Matter, produced via
baryogenesis, for a Kaluza-Klein mass of about $2.4$ TeV.
| [
{
"created": "Tue, 29 Dec 2020 12:30:58 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Mar 2021 14:58:32 GMT",
"version": "v2"
}
] | 2021-10-20 | [
[
"Cacciapaglia",
"Giacomo",
""
],
[
"Cornell",
"Alan S.",
""
],
[
"Cot",
"Corentin",
""
],
[
"Deandrea",
"Aldo",
""
]
] | We present a minimal model of asymptotic grand unification based on an $SU(5)$ gauge theory in a compact $S^1/(\mathbb{Z}_2 \times \mathbb{Z}'_2)$ orbifold. The gauge couplings run to a unified fixed point in the UV, without supersymmetry. By construction, fermions are embedded in different $SU(5)$ bulk fields. As a consequence, baryon number is conserved, thus preventing proton decay, and the lightest Kaluza-Klein tier consists of new states that cannot decay into standard model ones. We show that the Yukawa couplings can be either in the bulk or localized, and run to an asymptotically free fixed point in the UV. The lightest massive state can play the role of Dark Matter, produced via baryogenesis, for a Kaluza-Klein mass of about $2.4$ TeV. |
2103.02411 | Tanmoy Paul | Debaprasad Maity, Sourav Pal and Tanmoy Paul | Effective Theory of Inflationary Magnetogenesis and Constraints on
Reheating | JCAP accepted | null | 10.1088/1475-7516/2021/05/045 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Effective theory framework based on symmetry has recently gained widespread
interest in the field of cosmology. In this paper, we apply the same idea on
the genesis of the primordial magnetic field and its evolution throughout the
cosmological universe. Given the broken time-diffeomorphism symmetry by the
cosmological background, we considered the most general Lagrangian of
electromagnetic and metric fluctuation up to second order, which naturally
breaks conformal symmetry in the electromagnetic (EM) sector. We also include
parity violation in the electromagnetic sector with the motivation that has
potential observational significance. In such a set-up, we explore the
evolution of EM, scalar, and tensor perturbations considering different
observational constraints. In our analysis we emphasize the role played by the
intermediate reheating phase which has got limited interest in all the previous
studies. Assuming the vanishing electrical conductivity during the entire
period of reheating, the well-known Faraday electromagnetic induction has been
shown to play a crucial role in enhancing the strength of the present-day
magnetic field. We show how such physical effects combined with the PLANCK and
the large scale magnetic field observation makes a large class of models viable
and severely restricts the reheating equation of state parameter within a very
narrow range of $0.01 < \omega_\mathrm{eff} < 0.27$, which is nearly
independent of reheating scenarios we have considered.
| [
{
"created": "Wed, 3 Mar 2021 14:01:18 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Mar 2021 13:56:53 GMT",
"version": "v2"
},
{
"created": "Tue, 4 May 2021 09:58:11 GMT",
"version": "v3"
}
] | 2021-05-26 | [
[
"Maity",
"Debaprasad",
""
],
[
"Pal",
"Sourav",
""
],
[
"Paul",
"Tanmoy",
""
]
] | Effective theory framework based on symmetry has recently gained widespread interest in the field of cosmology. In this paper, we apply the same idea on the genesis of the primordial magnetic field and its evolution throughout the cosmological universe. Given the broken time-diffeomorphism symmetry by the cosmological background, we considered the most general Lagrangian of electromagnetic and metric fluctuation up to second order, which naturally breaks conformal symmetry in the electromagnetic (EM) sector. We also include parity violation in the electromagnetic sector with the motivation that has potential observational significance. In such a set-up, we explore the evolution of EM, scalar, and tensor perturbations considering different observational constraints. In our analysis we emphasize the role played by the intermediate reheating phase which has got limited interest in all the previous studies. Assuming the vanishing electrical conductivity during the entire period of reheating, the well-known Faraday electromagnetic induction has been shown to play a crucial role in enhancing the strength of the present-day magnetic field. We show how such physical effects combined with the PLANCK and the large scale magnetic field observation makes a large class of models viable and severely restricts the reheating equation of state parameter within a very narrow range of $0.01 < \omega_\mathrm{eff} < 0.27$, which is nearly independent of reheating scenarios we have considered. |
hep-th/0306215 | Bo Feng | Ruth Britto, Bo Feng and Soo-Jong Rey | Deformed Superspace, N=1/2 Supersymmetry and (Non)Renormalization
Theorems | 21 pages, 5 figures and one table; V2: references added | JHEP 0307:067,2003 | 10.1088/1126-6708/2003/07/067 | SNUST 0306002 | hep-th | null | We consider a deformed superspace in which the coordinates \theta do not
anticommute, but satisfy a Clifford algebra. We present results on the
properties of N=1/2 supersymmetric theories of chiral superfields in deformed
superspace, taking the Wess-Zumino model as the prototype. We prove new
(non)renormalization theorems: the F-term is radiatively corrected and becomes
indistinguishable from the D-term, while the Fbar-term is not renormalized.
Supersymmetric vacua are critical points of the antiholomorphic superpotential.
The vacuum energy is zero to all orders in perturbation theory. We illustrate
these results with several examples.
| [
{
"created": "Mon, 23 Jun 2003 19:46:36 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Jul 2003 00:24:31 GMT",
"version": "v2"
}
] | 2010-12-03 | [
[
"Britto",
"Ruth",
""
],
[
"Feng",
"Bo",
""
],
[
"Rey",
"Soo-Jong",
""
]
] | We consider a deformed superspace in which the coordinates \theta do not anticommute, but satisfy a Clifford algebra. We present results on the properties of N=1/2 supersymmetric theories of chiral superfields in deformed superspace, taking the Wess-Zumino model as the prototype. We prove new (non)renormalization theorems: the F-term is radiatively corrected and becomes indistinguishable from the D-term, while the Fbar-term is not renormalized. Supersymmetric vacua are critical points of the antiholomorphic superpotential. The vacuum energy is zero to all orders in perturbation theory. We illustrate these results with several examples. |
hep-th/0502075 | Sang-Heon Yi | Seungjoon Hyun, Kyungho Oh, Jong-Dae Park, Sang-Heon Yi | Topological B-model and ${\hat c}=1$ String Theory | 35 pages, 3 figures, JHEP style. v2: references added. v3: published
version | Nucl.Phys. B729 (2005) 135-162 | 10.1016/j.nuclphysb.2005.08.048 | KIAS-P05018 | hep-th | null | We study the topological B-model on a deformed $\Z_2$ orbifolded conifold by
investigating variation of complex structures via quantum Kodaira-Spencer
theories. The fermionic/brane formulation together with systematic utilization
of symmetries of the geometry gives rise to a free fermion realization of the
amplitudes. We derive Ward identities which solve the perturbed free energy
exactly. We also obtain the corresponding Kontsevich-like matrix model. All
these confirm the recent conjecture on the connection of the theory with ${\hat
c}=1$ type 0A string theory compactified at the radius $R=\sqrt{\alpha'/2}$.
| [
{
"created": "Mon, 7 Feb 2005 10:54:50 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Feb 2005 11:09:59 GMT",
"version": "v2"
},
{
"created": "Thu, 10 Nov 2005 08:28:08 GMT",
"version": "v3"
}
] | 2010-04-05 | [
[
"Hyun",
"Seungjoon",
""
],
[
"Oh",
"Kyungho",
""
],
[
"Park",
"Jong-Dae",
""
],
[
"Yi",
"Sang-Heon",
""
]
] | We study the topological B-model on a deformed $\Z_2$ orbifolded conifold by investigating variation of complex structures via quantum Kodaira-Spencer theories. The fermionic/brane formulation together with systematic utilization of symmetries of the geometry gives rise to a free fermion realization of the amplitudes. We derive Ward identities which solve the perturbed free energy exactly. We also obtain the corresponding Kontsevich-like matrix model. All these confirm the recent conjecture on the connection of the theory with ${\hat c}=1$ type 0A string theory compactified at the radius $R=\sqrt{\alpha'/2}$. |
0711.2300 | David Kubiznak | David Kubiznak and Valeri P. Frolov | Stationary strings and branes in the higher-dimensional Kerr-NUT-(A)dS
spacetimes | 8 pages, no figures | JHEP0802:007,2008 | 10.1088/1126-6708/2008/02/007 | Alberta-Thy-16-07 | hep-th gr-qc | null | We demonstrate complete integrability of the Nambu-Goto equations for a
stationary string in the general Kerr-NUT-(A)dS spacetime describing the
higher-dimensional rotating black hole. The stationary string in D dimensions
is generated by a 1-parameter family of Killing trajectories and the problem of
finding a string configuration reduces to a problem of finding a geodesic line
in an effective (D-1)-dimensional space. Resulting integrability of this
geodesic problem is connected with the existence of hidden symmetries which are
inherited from the black hole background. In a spacetime with p mutually
commuting Killing vectors it is possible to introduce a concept of a
$\xi$-brane, that is a p-brane with the worldvolume generated by these fields
and a 1-dimensional curve. We discuss integrability of such $\xi$-branes in the
Kerr-NUT-(A)dS spacetime.
| [
{
"created": "Wed, 14 Nov 2007 22:04:10 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Kubiznak",
"David",
""
],
[
"Frolov",
"Valeri P.",
""
]
] | We demonstrate complete integrability of the Nambu-Goto equations for a stationary string in the general Kerr-NUT-(A)dS spacetime describing the higher-dimensional rotating black hole. The stationary string in D dimensions is generated by a 1-parameter family of Killing trajectories and the problem of finding a string configuration reduces to a problem of finding a geodesic line in an effective (D-1)-dimensional space. Resulting integrability of this geodesic problem is connected with the existence of hidden symmetries which are inherited from the black hole background. In a spacetime with p mutually commuting Killing vectors it is possible to introduce a concept of a $\xi$-brane, that is a p-brane with the worldvolume generated by these fields and a 1-dimensional curve. We discuss integrability of such $\xi$-branes in the Kerr-NUT-(A)dS spacetime. |
2312.06766 | Patrick Hager | Martin Beneke, Patrick Hager, Andrea F. Sanfilippo | Cosmological Correlators in massless ${\phi}^4$-theory and the Method of
Regions | 44 pages, 4 figures, LaTeX | null | null | TUM-HEP-1485/23, MITP-23-073 | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The calculation of loop corrections to the correlation functions of quantum
fields during inflation or in the de~Sitter background presents greater
challenges than in flat space due to the more complicated form of the mode
functions. While in flat space highly sophisticated approaches to Feynman
integrals exist, similar tools still remain to be developed for cosmological
correlators. However, usually only their late-time limit is of interest. We
introduce the method-of-region expansion for cosmological correlators as a tool
to extract the late-time limit, and illustrate it with several examples for the
interacting, massless, minimally coupled scalar field in de~Sitter space. In
particular, we consider the in-in correlator
$\langle\phi^2(\eta,q)\phi(\eta,k_1)\phi(\eta,k_2)\rangle$, whose region
structure is relevant to anomalous dimensions and matching coefficients in Soft
de Sitter effective theory.
| [
{
"created": "Mon, 11 Dec 2023 19:00:02 GMT",
"version": "v1"
}
] | 2023-12-13 | [
[
"Beneke",
"Martin",
""
],
[
"Hager",
"Patrick",
""
],
[
"Sanfilippo",
"Andrea F.",
""
]
] | The calculation of loop corrections to the correlation functions of quantum fields during inflation or in the de~Sitter background presents greater challenges than in flat space due to the more complicated form of the mode functions. While in flat space highly sophisticated approaches to Feynman integrals exist, similar tools still remain to be developed for cosmological correlators. However, usually only their late-time limit is of interest. We introduce the method-of-region expansion for cosmological correlators as a tool to extract the late-time limit, and illustrate it with several examples for the interacting, massless, minimally coupled scalar field in de~Sitter space. In particular, we consider the in-in correlator $\langle\phi^2(\eta,q)\phi(\eta,k_1)\phi(\eta,k_2)\rangle$, whose region structure is relevant to anomalous dimensions and matching coefficients in Soft de Sitter effective theory. |
hep-th/9605236 | null | N. Hambli | More on Four-Dimensional Extremal Black Holes | 19 pages, using Latex, no figures | Phys.Rev.D54:5129-5134,1996 | 10.1103/PhysRevD.54.5129 | UdeM-GPP-TH-96-36 | hep-th | null | We consider an embedding of the extremal four-dimensional
Reissner-Nordstr\"om black hole into type $IIB$ string theory. The equivalent
type $IIB$ configuration, in the D-brane weak-coupling picture, is a bound
state of D1- and D5-branes threaded by fundamental type $IIB$ strings. The
bound state involves also a NSNS solitonic 5-brane, mimicking the role of the
Kaluza-Klein magnetic monopole. The statistical entropy derived by counting the
degeneracy of the BPS-saturated excitations of this bound state agrees
perfectly with the (semiclassical) Bekenstein-Hawking formula.
| [
{
"created": "Sun, 2 Jun 1996 22:49:23 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Hambli",
"N.",
""
]
] | We consider an embedding of the extremal four-dimensional Reissner-Nordstr\"om black hole into type $IIB$ string theory. The equivalent type $IIB$ configuration, in the D-brane weak-coupling picture, is a bound state of D1- and D5-branes threaded by fundamental type $IIB$ strings. The bound state involves also a NSNS solitonic 5-brane, mimicking the role of the Kaluza-Klein magnetic monopole. The statistical entropy derived by counting the degeneracy of the BPS-saturated excitations of this bound state agrees perfectly with the (semiclassical) Bekenstein-Hawking formula. |
hep-th/0606182 | Noriaki Kitazawa | Noriaki Kitazawa | Radiative Symmetry Breaking on D-branes at Non-supersymmetric
Singularities | 20 pages | Nucl.Phys.B755:254-271,2006 | 10.1016/j.nuclphysb.2006.08.010 | null | hep-th | null | The possibility of radiative gauge symmetry breaking on D3-branes at
non-supersymmetric orbifold singularities is examined. As an example, a simple
model of D3-branes at non-supersymmetric C^3/Z_6 singularity with some
D7-branes for the cancellations of R-R tadpoles in twisted sectors is analyzed
in detail. We find that there are no tachyon modes in twisted sectors, and
NS-NS tadpoles in twisted sectors are canceled out, though uncanceled tadpoles
and tachyon modes exist in untwisted sectors. This means that this singularity
background is a stable solution of string theory at tree level, though some
specific compactification of six-dimensional space should be considered for a
consistent untwisted sector. On D3-brane three massless "Higgs doublet fields"
and three family "up-type quarks" are realized at tree level. Other fermion
fields, "down-type quarks" and "leptons", can be realized as massless modes of
the open strings stretching between D3-branes and D7-branes. The Higgs doublet
fields have Yukawa couplings with up-type quarks, and they also have
self-couplings which give a scalar potential without flat directions. Since
there is no supersymmetry, the radiative corrections may naturally develop
negative Higgs mass squared and "electroweak symmetry breaking". We explicitly
calculate the open string one-loop correction to the Higgs mass squared from
twisted sectors, and find that the negative value is indeed realized in this
specific model.
| [
{
"created": "Tue, 20 Jun 2006 01:02:21 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Kitazawa",
"Noriaki",
""
]
] | The possibility of radiative gauge symmetry breaking on D3-branes at non-supersymmetric orbifold singularities is examined. As an example, a simple model of D3-branes at non-supersymmetric C^3/Z_6 singularity with some D7-branes for the cancellations of R-R tadpoles in twisted sectors is analyzed in detail. We find that there are no tachyon modes in twisted sectors, and NS-NS tadpoles in twisted sectors are canceled out, though uncanceled tadpoles and tachyon modes exist in untwisted sectors. This means that this singularity background is a stable solution of string theory at tree level, though some specific compactification of six-dimensional space should be considered for a consistent untwisted sector. On D3-brane three massless "Higgs doublet fields" and three family "up-type quarks" are realized at tree level. Other fermion fields, "down-type quarks" and "leptons", can be realized as massless modes of the open strings stretching between D3-branes and D7-branes. The Higgs doublet fields have Yukawa couplings with up-type quarks, and they also have self-couplings which give a scalar potential without flat directions. Since there is no supersymmetry, the radiative corrections may naturally develop negative Higgs mass squared and "electroweak symmetry breaking". We explicitly calculate the open string one-loop correction to the Higgs mass squared from twisted sectors, and find that the negative value is indeed realized in this specific model. |
1911.10493 | Antonio M. Garcia-Garcia | Antonio M. Garc\'ia-Garc\'ia and Salom\'on Zacar\'ias | Quantum Jackiw-Teitelboim gravity, Selberg trace formula, and random
matrix theory | 24 pages, 1 figure | null | null | null | hep-th math-ph math.MP nlin.CD | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the partition function of quantum Jackiw-Teitelboim (JT)
gravity, including topological fluctuations, is equivalent to the partition
function of a Maass-Laplace operator of large -- imaginary -- weight acting on
non-compact, infinite area, hyperbolic Riemann surfaces of arbitrary genus. The
resulting spectrum of this open quantum system is semiclasically exact and
given by a regularized Selberg trace formula, namely, it is expressed as a sum
over the lengths of primitive periodic orbits of these hyperbolic surfaces. By
using semiclassical techniques, we compute analytically the spectral form
factor and the variance of the Wigner time delay in the diagonal approximation.
We find agreement with the random matrix theory (RMT) prediction for open
quantum chaotic systems. Our results show that full quantum ergodicity is a
distinct feature of quantum JT gravity.
| [
{
"created": "Sun, 24 Nov 2019 10:26:46 GMT",
"version": "v1"
}
] | 2019-11-26 | [
[
"García-García",
"Antonio M.",
""
],
[
"Zacarías",
"Salomón",
""
]
] | We show that the partition function of quantum Jackiw-Teitelboim (JT) gravity, including topological fluctuations, is equivalent to the partition function of a Maass-Laplace operator of large -- imaginary -- weight acting on non-compact, infinite area, hyperbolic Riemann surfaces of arbitrary genus. The resulting spectrum of this open quantum system is semiclasically exact and given by a regularized Selberg trace formula, namely, it is expressed as a sum over the lengths of primitive periodic orbits of these hyperbolic surfaces. By using semiclassical techniques, we compute analytically the spectral form factor and the variance of the Wigner time delay in the diagonal approximation. We find agreement with the random matrix theory (RMT) prediction for open quantum chaotic systems. Our results show that full quantum ergodicity is a distinct feature of quantum JT gravity. |
hep-th/9407113 | Timothy Hollowood | Jonathan M. Evans and Timothy J. Hollowood | Integrable theories that are asymptotically CFT | typos in two important formulae corrected, references added, version
to appear in Nucl. Phys. B, 21 pages, plain tex with macro included | Nucl.Phys. B438 (1995) 469-490 | 10.1016/0550-3213(94)00473-R | CERN-TH.7293/94, SWAT/32 | hep-th | null | A series of sigma models with torsion are analysed which generate their mass
dynamically but whose ultra-violet fixed points are non-trivial conformal field
theories -- in fact SU(2) WZW models at level $k$. In contrast to the more
familiar situation of asymptotically free theories in which the fixed points
are trivial, the sigma models considered here may be termed ``asymptotically
CFT''. These theories have previously been conjectured to be quantum
integrable; this is confirmed by postulating a factorizable S-matrix to
describe their infra-red behaviour and then carrying out a stringent test of
this proposal. The test involves coupling the theory to a conserved charge and
evaluating the response of the free-energy both in perturbation theory to one
loop and directly from the S-matrix via the Thermodynamic Bethe Ansatz with a
chemical potential at zero temperature. Comparison of these results provides
convincing evidence in favour of the proposed S-matrix; it also yields the
universal coefficients of the beta-function and allows for an evaluation of the
mass gap (the ratio of the physical mass to the $\Lambda$-parameter) to leading
order in $1/k$.
| [
{
"created": "Tue, 19 Jul 1994 09:23:54 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Mar 1995 13:54:41 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Evans",
"Jonathan M.",
""
],
[
"Hollowood",
"Timothy J.",
""
]
] | A series of sigma models with torsion are analysed which generate their mass dynamically but whose ultra-violet fixed points are non-trivial conformal field theories -- in fact SU(2) WZW models at level $k$. In contrast to the more familiar situation of asymptotically free theories in which the fixed points are trivial, the sigma models considered here may be termed ``asymptotically CFT''. These theories have previously been conjectured to be quantum integrable; this is confirmed by postulating a factorizable S-matrix to describe their infra-red behaviour and then carrying out a stringent test of this proposal. The test involves coupling the theory to a conserved charge and evaluating the response of the free-energy both in perturbation theory to one loop and directly from the S-matrix via the Thermodynamic Bethe Ansatz with a chemical potential at zero temperature. Comparison of these results provides convincing evidence in favour of the proposed S-matrix; it also yields the universal coefficients of the beta-function and allows for an evaluation of the mass gap (the ratio of the physical mass to the $\Lambda$-parameter) to leading order in $1/k$. |
hep-th/9211036 | Jos\'e M. Figueroa-O'Farrill | J.M. Figueroa-O'Farrill and E. Ramos | The Algebra of Differential Operators on the Circle and $W_{KP}^{(q)}$ | 12 pages, Plain TeX, BONN-HE-92/34, KUL-TF-92/27, QMW-PH-92-20 (v3:
solved legacy compilation problems) | null | 10.1007/BF00739580 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Radul has recently introduced a map from the Lie algebra of differential
operators on the circle to $W_n$. In this note we extend this map to
$W_{KP}^{(q)}$, a recently introduced one-parameter deformation of
$W_{KP}$---the second hamiltonian structure of the KP hierarchy. We use this to
give a short proof that $W_\infty$ is the symmetry algebra of additional
symmetries of the KP equation.
| [
{
"created": "Sun, 8 Nov 1992 21:50:59 GMT",
"version": "v1"
},
{
"created": "Sat, 14 Nov 1992 15:43:40 GMT",
"version": "v2"
},
{
"created": "Fri, 16 Oct 2020 12:45:31 GMT",
"version": "v3"
}
] | 2020-10-19 | [
[
"Figueroa-O'Farrill",
"J. M.",
""
],
[
"Ramos",
"E.",
""
]
] | Radul has recently introduced a map from the Lie algebra of differential operators on the circle to $W_n$. In this note we extend this map to $W_{KP}^{(q)}$, a recently introduced one-parameter deformation of $W_{KP}$---the second hamiltonian structure of the KP hierarchy. We use this to give a short proof that $W_\infty$ is the symmetry algebra of additional symmetries of the KP equation. |
1910.04128 | Romanczukiewicz Tomasz Ph.D. | Patrick Dorey, Tomasz Romanczukiewicz and Yakov Shnir | Staccato radiation from the decay of large amplitude oscillons | 6 pages, 6 figures, 4 audio-video files, minor changes | PLB 806, 135497 (2020) | 10.1016/j.physletb.2020.135497 | null | hep-th math-ph math.MP nlin.PS | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the decay of large amplitude, almost periodic breather-like states
in a deformed sine-Gordon model in one spatial dimension. We discover that
these objects decay in a staggered fashion via a series of transitions, during
which higher harmonics are released as short, staccato bursts of radiation.
Further, we argue that this phenomenon is not restricted to one particular
model, and that similar mechanisms of radiative decay of long-lived oscillating
states can be observed for a wide class of physical systems, including the
$\phi^6$ model.
| [
{
"created": "Wed, 9 Oct 2019 17:13:14 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Oct 2019 16:15:57 GMT",
"version": "v2"
},
{
"created": "Tue, 10 Mar 2020 09:03:03 GMT",
"version": "v3"
},
{
"created": "Sun, 17 May 2020 11:11:17 GMT",
"version": "v4"
}
] | 2020-05-26 | [
[
"Dorey",
"Patrick",
""
],
[
"Romanczukiewicz",
"Tomasz",
""
],
[
"Shnir",
"Yakov",
""
]
] | We study the decay of large amplitude, almost periodic breather-like states in a deformed sine-Gordon model in one spatial dimension. We discover that these objects decay in a staggered fashion via a series of transitions, during which higher harmonics are released as short, staccato bursts of radiation. Further, we argue that this phenomenon is not restricted to one particular model, and that similar mechanisms of radiative decay of long-lived oscillating states can be observed for a wide class of physical systems, including the $\phi^6$ model. |
hep-th/9307183 | Matthias R. Gaberdiel | M. Gaberdiel | Fusion in conformal field theory as the tensor product of the symmetry
algebra | 21 pages, Latex, DAMTP-93-38 | Int.J.Mod.Phys. A9 (1994) 4619-4636 | 10.1142/S0217751X94001849 | null | hep-th | null | Following a recent proposal of Richard Borcherds to regard fusion as the
ring-like tensor product of modules of a {\em quantum ring}, a generalization
of rings and vertex operators, we define fusion as a certain quotient of the
(vector space) tensor product of representations of the symmetry algebra ${\cal
A}$. We prove that this tensor product is associative and symmetric up to
equivalence. We also determine explicitly the action of ${\cal A}$ on it, under
which the central extension is preserved. \\ Having given a precise meaning to
fusion, determining the fusion rules is now a well-posed algebraic problem,
namely to decompose the tensor product into irreducible representations. We
demonstrate how to solve it for the case of the WZW- and the minimal models and
recover thereby the well-known fusion rules. \\ The action of the symmetry
algebra on the tensor product is given in terms of a comultiplication. We
calculate the $R$-matrix of this comultiplication and find that it is
triangular. This seems to shed some new light on the possible r\^{o}le of the
quantum group in conformal field theory.
| [
{
"created": "Thu, 29 Jul 1993 15:11:51 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Gaberdiel",
"M.",
""
]
] | Following a recent proposal of Richard Borcherds to regard fusion as the ring-like tensor product of modules of a {\em quantum ring}, a generalization of rings and vertex operators, we define fusion as a certain quotient of the (vector space) tensor product of representations of the symmetry algebra ${\cal A}$. We prove that this tensor product is associative and symmetric up to equivalence. We also determine explicitly the action of ${\cal A}$ on it, under which the central extension is preserved. \\ Having given a precise meaning to fusion, determining the fusion rules is now a well-posed algebraic problem, namely to decompose the tensor product into irreducible representations. We demonstrate how to solve it for the case of the WZW- and the minimal models and recover thereby the well-known fusion rules. \\ The action of the symmetry algebra on the tensor product is given in terms of a comultiplication. We calculate the $R$-matrix of this comultiplication and find that it is triangular. This seems to shed some new light on the possible r\^{o}le of the quantum group in conformal field theory. |
hep-th/0306232 | Hyun Min Lee | Ki-Young Choi (Seoul National University and Bonn University) and Hyun
Min Lee (Bonn University) | Softness of Brane-localized Supersymmetry Breaking on Orbifolds | 12 pages, no figures; Version to appear in PLB | Phys.Lett. B575 (2003) 309-317 | 10.1016/j.physletb.2003.09.053 | null | hep-th | null | We consider the brane-localized supersymmetry breaking in 5D compactified on
$S^1/Z_2$. In case of a bulk gaugino with arbitrary brane masses for its even
and odd modes, we find the mass spectrum and the wave functions of gaugino. We
show that the gaugino masses at the distant brane are soft in the usual sense
in the effective field theory with zero modes of bulk gauge fields and they are
also extremely soft in view of the one-loop finite mass of a brane scalar in
the KK regularization.
| [
{
"created": "Tue, 24 Jun 2003 14:01:37 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Jul 2003 12:22:55 GMT",
"version": "v2"
},
{
"created": "Wed, 17 Sep 2003 09:01:56 GMT",
"version": "v3"
}
] | 2010-04-05 | [
[
"Choi",
"Ki-Young",
"",
"Seoul National University and Bonn University"
],
[
"Lee",
"Hyun Min",
"",
"Bonn University"
]
] | We consider the brane-localized supersymmetry breaking in 5D compactified on $S^1/Z_2$. In case of a bulk gaugino with arbitrary brane masses for its even and odd modes, we find the mass spectrum and the wave functions of gaugino. We show that the gaugino masses at the distant brane are soft in the usual sense in the effective field theory with zero modes of bulk gauge fields and they are also extremely soft in view of the one-loop finite mass of a brane scalar in the KK regularization. |
hep-th/0212117 | Mikhail Plyushchay | Sergey M. Klishevich and Mikhail S. Plyushchay | Dolan-Grady Relations and Noncommutative Quasi-Exactly Solvable Systems | 25 pages; ref added; to appear in J. Phys. A | J.Phys.A36:11299-11319,2003 | 10.1088/0305-4470/36/44/009 | null | hep-th math-ph math.MP nlin.SI quant-ph | null | We investigate a U(1) gauge invariant quantum mechanical system on a 2D
noncommutative space with coordinates generating a generalized deformed
oscillator algebra. The Hamiltonian is taken as a quadratic form in gauge
covariant derivatives obeying the nonlinear Dolan-Grady relations. This
restricts the structure function of the deformed oscillator algebra to a
quadratic polynomial. The cases when the coordinates form the su(2) and sl(2,R)
algebras are investigated in detail. Reducing the Hamiltonian to 1D
finite-difference quasi-exactly solvable operators, we demonstrate partial
algebraization of the spectrum of the corresponding systems on the fuzzy sphere
and noncommutative hyperbolic plane. A completely covariant method based on the
notion of intrinsic algebra is proposed to deal with the spectral problem of
such systems.
| [
{
"created": "Tue, 10 Dec 2002 20:28:24 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Dec 2002 22:40:34 GMT",
"version": "v2"
},
{
"created": "Wed, 25 Jun 2003 16:02:57 GMT",
"version": "v3"
},
{
"created": "Thu, 11 Sep 2003 01:05:53 GMT",
"version": "v4"
}
] | 2008-11-26 | [
[
"Klishevich",
"Sergey M.",
""
],
[
"Plyushchay",
"Mikhail S.",
""
]
] | We investigate a U(1) gauge invariant quantum mechanical system on a 2D noncommutative space with coordinates generating a generalized deformed oscillator algebra. The Hamiltonian is taken as a quadratic form in gauge covariant derivatives obeying the nonlinear Dolan-Grady relations. This restricts the structure function of the deformed oscillator algebra to a quadratic polynomial. The cases when the coordinates form the su(2) and sl(2,R) algebras are investigated in detail. Reducing the Hamiltonian to 1D finite-difference quasi-exactly solvable operators, we demonstrate partial algebraization of the spectrum of the corresponding systems on the fuzzy sphere and noncommutative hyperbolic plane. A completely covariant method based on the notion of intrinsic algebra is proposed to deal with the spectral problem of such systems. |
hep-th/0010115 | Nick Dorey | Nick Dorey | Instantons, Compactification and S-duality in N=4 SUSY Yang-Mills Theory
I | LaTeX file (20 pages) | JHEP 0104:008,2001 | 10.1088/1126-6708/2001/04/008 | SWAT/270 | hep-th | null | We study N=4 supersymmetric Yang-Mills (SYM) theory with gauge group SU(2)
compactified to three dimensions on a circle of circumference beta. The eight
fermion terms in the effective action on the Coulomb branch are determined
exactly, for all beta, assuming the existence of an interacting Spin(8)
invariant fixed point at the origin. The resulting formulae are manifestly
invariant under the SL(2,Z) duality of four dimensional N=4 SYM and lead to
interesting quantitative predictions for instanton effects in gauge theory and
in Type II string theory.
| [
{
"created": "Sat, 14 Oct 2000 13:12:48 GMT",
"version": "v1"
}
] | 2010-11-19 | [
[
"Dorey",
"Nick",
""
]
] | We study N=4 supersymmetric Yang-Mills (SYM) theory with gauge group SU(2) compactified to three dimensions on a circle of circumference beta. The eight fermion terms in the effective action on the Coulomb branch are determined exactly, for all beta, assuming the existence of an interacting Spin(8) invariant fixed point at the origin. The resulting formulae are manifestly invariant under the SL(2,Z) duality of four dimensional N=4 SYM and lead to interesting quantitative predictions for instanton effects in gauge theory and in Type II string theory. |
hep-th/0001145 | Petr Horava | Petr Horava and Djordje Minic | Probable Values of the Cosmological Constant in a Holographic Theory | 8 pages, harvmac (b) | Phys.Rev.Lett.85:1610-1613,2000 | 10.1103/PhysRevLett.85.1610 | null | hep-th astro-ph gr-qc | null | We point out that for a large class of universes, holography implies that the
most probable value of the cosmological constant is zero. In four spacetime
dimensions, the probability distribution takes the Baum-Hawking form,
$dP\sim\exp(cM_p^2/\Lambda)d\Lambda$.
| [
{
"created": "Sat, 22 Jan 2000 00:22:45 GMT",
"version": "v1"
}
] | 2009-07-09 | [
[
"Horava",
"Petr",
""
],
[
"Minic",
"Djordje",
""
]
] | We point out that for a large class of universes, holography implies that the most probable value of the cosmological constant is zero. In four spacetime dimensions, the probability distribution takes the Baum-Hawking form, $dP\sim\exp(cM_p^2/\Lambda)d\Lambda$. |
hep-th/0208111 | Patrick Dorey | Patrick Dorey, Andrew Pocklington and Roberto Tateo | Integrable aspects of the scaling q-state Potts models I: bound states
and bootstrap closure | 43 pages, many figures. Latex 2e, uses amssymb,cite,graphicx. v2:
typos corrected and references added; discussion of the link with Deligne's
conjecture expanded | Nucl.Phys. B661 (2003) 425-463 | 10.1016/S0550-3213(03)00181-0 | DCPT-02/51 | hep-th cond-mat math-ph math.MP math.QA | null | We discuss the q-state Potts models for q<=4, in the scaling regimes close to
their critical or tricritical points. Starting from the kink S-matrix elements
proposed by Chim and Zamolodchikov, the bootstrap is closed for the scaling
regions of all critical points, and for the tricritical points when 4>q>=2. We
also note a curious appearance of the extended last line of Freudenthal's magic
square in connection with the Potts models.
| [
{
"created": "Thu, 15 Aug 2002 18:56:40 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Oct 2002 15:29:11 GMT",
"version": "v2"
}
] | 2010-04-05 | [
[
"Dorey",
"Patrick",
""
],
[
"Pocklington",
"Andrew",
""
],
[
"Tateo",
"Roberto",
""
]
] | We discuss the q-state Potts models for q<=4, in the scaling regimes close to their critical or tricritical points. Starting from the kink S-matrix elements proposed by Chim and Zamolodchikov, the bootstrap is closed for the scaling regions of all critical points, and for the tricritical points when 4>q>=2. We also note a curious appearance of the extended last line of Freudenthal's magic square in connection with the Potts models. |
1805.10651 | Gabriel Wong | Gabriel Wong | Gluing together Modular flows with free fermions | Substantially revised, errors and typos corrected. 29 pages, 9
figures | null | 10.1007/JHEP04(2019)045 | null | hep-th cond-mat.other math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit the calculation of multi-interval modular Hamiltonians for free
fermions using a Euclidean path integral approach. We show how the
multi-interval modular flow is obtained by gluing together the single interval
modular flows. Using this relation, we obtain an exact expression for the
multi-interval modular Hamiltonian and entanglement entropy in agreement with
existing results. An essential ingredient in our derivation is the introduction
of the \emp{modular action}. This determines the non-local field theory
describing the free fermion reduced density matrix, and makes manifest it's
non-local conformal symmetry and $U(1)$ Kacs-Moody symmetry.
| [
{
"created": "Sun, 27 May 2018 16:45:14 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Nov 2018 03:13:21 GMT",
"version": "v2"
},
{
"created": "Fri, 15 Feb 2019 07:40:00 GMT",
"version": "v3"
}
] | 2019-05-01 | [
[
"Wong",
"Gabriel",
""
]
] | We revisit the calculation of multi-interval modular Hamiltonians for free fermions using a Euclidean path integral approach. We show how the multi-interval modular flow is obtained by gluing together the single interval modular flows. Using this relation, we obtain an exact expression for the multi-interval modular Hamiltonian and entanglement entropy in agreement with existing results. An essential ingredient in our derivation is the introduction of the \emp{modular action}. This determines the non-local field theory describing the free fermion reduced density matrix, and makes manifest it's non-local conformal symmetry and $U(1)$ Kacs-Moody symmetry. |
hep-th/9711131 | Subir Mukhopadhya | Subir Mukhopadhyay and Koushik Ray | Conifolds From D-branes | 7 pages, AMSTEX, Cosmetic changes. Equation numbers and typos
corrected and references added. To appear in Phys. Lett. B | Phys.Lett. B423 (1998) 247-254 | 10.1016/S0370-2693(98)00141-5 | null | hep-th | null | In this note we study the resolution of conifold singularity by D-branes by
considering compactification of D-branes on $\C^3/(\Z_2\times\Z_2)$. The
resulting vacuum moduli space of D-branes is a toric variety which turns out to
be a resolved conifold, that is a nodal variety in $\C^4$. This has the
implication that all the corresponding phases of Type--II string theory are
geometrical and are accessible to the D-branes, since they are related by
flops.
| [
{
"created": "Wed, 19 Nov 1997 00:07:19 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Jan 1998 21:16:16 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Mukhopadhyay",
"Subir",
""
],
[
"Ray",
"Koushik",
""
]
] | In this note we study the resolution of conifold singularity by D-branes by considering compactification of D-branes on $\C^3/(\Z_2\times\Z_2)$. The resulting vacuum moduli space of D-branes is a toric variety which turns out to be a resolved conifold, that is a nodal variety in $\C^4$. This has the implication that all the corresponding phases of Type--II string theory are geometrical and are accessible to the D-branes, since they are related by flops. |
hep-th/0203028 | Marco Billo' | M. Billo', I. Pesando | Boundary States for GS superstrings in an Hpp wave background | 13 pages, latex2e with JHEP3.0 class, no figures. V1: clarified the
status of branes not sitting at the origin and added a constraint which
boundary states must satisfy | Phys.Lett.B536:121-128,2002 | 10.1016/S0370-2693(02)01800-2 | null | hep-th | null | We construct the boundary states preserving half the global supersymmetries
in string theory propagating on a Hpp background.
| [
{
"created": "Mon, 4 Mar 2002 20:25:37 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Mar 2002 13:56:17 GMT",
"version": "v2"
}
] | 2011-05-05 | [
[
"Billo'",
"M.",
""
],
[
"Pesando",
"I.",
""
]
] | We construct the boundary states preserving half the global supersymmetries in string theory propagating on a Hpp background. |
hep-th/9911176 | Petr M. Lavrov | B. Geyer, D.M. Gitman and P.M. Lavrov | Covariant Quantization with Extended BRST Symmetry | (LaTex) 10 pages, Talk given by P.M.L. at the International workshop
"Physical Variables in Gauge Theories", Dubna (Russia), 21-25 September 1999
(to appear in the proceedings) | null | null | null | hep-th | null | A short rewiev of covariant quantization methods based on BRST-antiBRST
symmetry is given. In particular problems of correct definition of Sp(2)
symmetric quantization scheme known as triplectic quantization are considered.
| [
{
"created": "Tue, 23 Nov 1999 04:34:14 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Geyer",
"B.",
""
],
[
"Gitman",
"D. M.",
""
],
[
"Lavrov",
"P. M.",
""
]
] | A short rewiev of covariant quantization methods based on BRST-antiBRST symmetry is given. In particular problems of correct definition of Sp(2) symmetric quantization scheme known as triplectic quantization are considered. |
hep-th/9611129 | Mitra Asoke Nath | A. N. Mitra | Interlinked 3D and 4D 3-Quark Wave Functions in a Bethe-Salpeter Model | 13 pages, Latex. e.mail: csec@doe.ernet.in | null | null | null | hep-th nucl-th | null | Using the method of Green's functions within the framework of a
Bethe-Salpeter formalism characterized by a pairwise $qq$ interaction with a 3D
support to its kernel (expressed in a Lorentz-covariant manner), the 4D BS wave
function for a system of three identical relativistic spinless quarks is
reconstructed from the corresponding 3D form which satisfies a {\it fully
connected} 3D BSE. This result is a 3-body generalization of a similar
interconnection between the 3D and 4D 2-body wave functions that had been found
earlier under identical conditions of a 3D support to the corresponding BS
kernel, using the ansatz of Covariant Instaneity for the pairwise $q\bar q$
interaction. The generalization from spinless to fermion quarks is
straightforward.
| [
{
"created": "Mon, 18 Nov 1996 11:11:41 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Mitra",
"A. N.",
""
]
] | Using the method of Green's functions within the framework of a Bethe-Salpeter formalism characterized by a pairwise $qq$ interaction with a 3D support to its kernel (expressed in a Lorentz-covariant manner), the 4D BS wave function for a system of three identical relativistic spinless quarks is reconstructed from the corresponding 3D form which satisfies a {\it fully connected} 3D BSE. This result is a 3-body generalization of a similar interconnection between the 3D and 4D 2-body wave functions that had been found earlier under identical conditions of a 3D support to the corresponding BS kernel, using the ansatz of Covariant Instaneity for the pairwise $q\bar q$ interaction. The generalization from spinless to fermion quarks is straightforward. |
1111.1675 | Stephen G. Naculich | Stephen G. Naculich, Horatiu Nastase, and Howard J. Schnitzer | Linear relations between N >= 4 supergravity and subleading-color SYM
amplitudes | 21 pages, 1 figure | null | 10.1007/JHEP01(2012)041 | BRX-TH-641; BOW-PH-153 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The IR divergences of supergravity amplitudes are less severe than those of
planar SYM amplitudes, and are comparable to those subleading-color SYM
amplitudes that are most subleading in the 1/N expansion, namely O(1/epsilon^L)
for L-loop amplitudes. We derive linear relations between one- and two-loop
four-point amplitudes and one-loop five-point amplitudes of N = 4, 5, and 6
supergravity and the most-subleading-color contributions of the analogous
amplitudes of N = 0, 1, and 2 SYM theory, extending earlier results for N = 8
supergravity amplitudes. Our work relies on linear relations between N >= 4
supergravity and planar SYM amplitudes that were recently derived using the
double-copy property of gravity, and color-kinematic duality of gauge theories.
| [
{
"created": "Mon, 7 Nov 2011 18:54:47 GMT",
"version": "v1"
}
] | 2015-06-03 | [
[
"Naculich",
"Stephen G.",
""
],
[
"Nastase",
"Horatiu",
""
],
[
"Schnitzer",
"Howard J.",
""
]
] | The IR divergences of supergravity amplitudes are less severe than those of planar SYM amplitudes, and are comparable to those subleading-color SYM amplitudes that are most subleading in the 1/N expansion, namely O(1/epsilon^L) for L-loop amplitudes. We derive linear relations between one- and two-loop four-point amplitudes and one-loop five-point amplitudes of N = 4, 5, and 6 supergravity and the most-subleading-color contributions of the analogous amplitudes of N = 0, 1, and 2 SYM theory, extending earlier results for N = 8 supergravity amplitudes. Our work relies on linear relations between N >= 4 supergravity and planar SYM amplitudes that were recently derived using the double-copy property of gravity, and color-kinematic duality of gauge theories. |
hep-th/9911109 | Xavier Bekaert | Xavier Bekaert | Interactions of chiral two-forms | 6 pages. References added. Modified presentation. Talk given at the
TMR-meeting `Quantum aspects of gauge theories, supersymmetry and
unification', ENS (Paris), September 1-7, 1999 and at the `9th Midwest
Geometry Conference', Univ. of Missouri (Columbia), November 5-7, 1999. From
joint work with M. Henneaux and A. Sevrin | null | null | null | hep-th | null | Two issues regarding the interactions of the chiral two-forms are reviewed.
First, the problem of constructing Lorentz-invariant self-couplings of a single
chiral two-form is investigated in the light of the Dirac-Schwinger condition
on the energy-momentum tensor commutation relations. We show how the
Perry-Schwarz condition follows from the Dirac-Schwinger criterion and point
out that consistency of the gravitational coupling is automatic. Secondly, we
study the possible local deformations of chiral two-forms. This problem reduces
to the study of the local BRST cohomological group at ghost number zero. We
proof that the only consistent deformations of a system of free chiral
two-forms are (up to redefinitions) deformations that do not modify the abelian
gauge symmetries of the free theory. The consequence of this result for a
system consisting of a number of parallel M5-branes is explained.
| [
{
"created": "Mon, 15 Nov 1999 15:28:53 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Dec 1999 09:50:22 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Bekaert",
"Xavier",
""
]
] | Two issues regarding the interactions of the chiral two-forms are reviewed. First, the problem of constructing Lorentz-invariant self-couplings of a single chiral two-form is investigated in the light of the Dirac-Schwinger condition on the energy-momentum tensor commutation relations. We show how the Perry-Schwarz condition follows from the Dirac-Schwinger criterion and point out that consistency of the gravitational coupling is automatic. Secondly, we study the possible local deformations of chiral two-forms. This problem reduces to the study of the local BRST cohomological group at ghost number zero. We proof that the only consistent deformations of a system of free chiral two-forms are (up to redefinitions) deformations that do not modify the abelian gauge symmetries of the free theory. The consequence of this result for a system consisting of a number of parallel M5-branes is explained. |
hep-th/9610056 | Martin Seeger | O. Jahn, T. Kraus and M. Seeger (Institut fuer Theoretische Physik,
Universitaet Erlangen-Nuernberg) | The Path Integral for 1+1-dimensional QCD | 16 pages, LaTeX, 3 PostScript figures, uses epsf.sty | Int.J.Mod.Phys. A12 (1997) 4445-4459 | 10.1142/S0217751X97002425 | FAU-TP3-96/15 | hep-th | null | We derive a path integral expression for the transition amplitude in
1+1-dimensional QCD starting from canonically quantized QCD. Gauge fixing after
quantization leads to a formulation in terms of gauge invariant but curvilinear
variables. Remainders of the curved space are Jacobians, an effective
potential, and sign factors just as for the problem of a particle in a box.
Based on this result we derive a Faddeev-Popov like expression for the
transition amplitude avoiding standard infinities that are caused by
integrations over gauge equivalent configurations.
| [
{
"created": "Wed, 9 Oct 1996 11:03:05 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Jahn",
"O.",
"",
"Institut fuer Theoretische Physik,\n Universitaet Erlangen-Nuernberg"
],
[
"Kraus",
"T.",
"",
"Institut fuer Theoretische Physik,\n Universitaet Erlangen-Nuernberg"
],
[
"Seeger",
"M.",
"",
"Institut fuer Theoretische Physik,\n Universitaet Erlangen-Nuernberg"
]
] | We derive a path integral expression for the transition amplitude in 1+1-dimensional QCD starting from canonically quantized QCD. Gauge fixing after quantization leads to a formulation in terms of gauge invariant but curvilinear variables. Remainders of the curved space are Jacobians, an effective potential, and sign factors just as for the problem of a particle in a box. Based on this result we derive a Faddeev-Popov like expression for the transition amplitude avoiding standard infinities that are caused by integrations over gauge equivalent configurations. |
0807.2385 | Pulak Ranjan Giri | Sayan K Chakrabarti, Pulak Ranjan Giri, Kumar S. Gupta | Normal mode analysis for scalar fields in BTZ black hole background | 6 pages, no figure, latex | Eur. Phys. J C 60:169-173, 2009; Eur.Phys.J.C60:169-173,2009 | 10.1140/epjc/s10052-009-0870-0 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze the possibility of inequivalent boundary conditions for a scalar
field propagating in the BTZ black hole space-time. We find that for certain
ranges of the black hole parameters, the Klein-Gordon operator admits a
one-parameter family of self-adjoint extensions. For this range, the BTZ
space-time is not quantum mechanically complete. We suggest a physically
motivated method for determining the spectra of the Klein-Gordon operator.
| [
{
"created": "Tue, 15 Jul 2008 14:31:42 GMT",
"version": "v1"
}
] | 2009-03-26 | [
[
"Chakrabarti",
"Sayan K",
""
],
[
"Giri",
"Pulak Ranjan",
""
],
[
"Gupta",
"Kumar S.",
""
]
] | We analyze the possibility of inequivalent boundary conditions for a scalar field propagating in the BTZ black hole space-time. We find that for certain ranges of the black hole parameters, the Klein-Gordon operator admits a one-parameter family of self-adjoint extensions. For this range, the BTZ space-time is not quantum mechanically complete. We suggest a physically motivated method for determining the spectra of the Klein-Gordon operator. |
hep-th/9203014 | Lnc | Lay Nam Chang and Chopin Soo | Brst Cohomology and Invariants of 4D Gravity in Ashtekar Variables | 15 pages | Phys.Rev. D46 (1992) 4257-4262 | 10.1103/PhysRevD.46.4257 | null | hep-th | null | We discuss the BRST cohomologies of the invariants associated with the
description of classical and quantum gravity in four dimensions, using the
Ashtekar variables. These invariants are constructed from several BRST
cohomology sequences. They provide a systematic and clear characterization of
non-local observables in general relativity with unbroken diffeomorphism
invariance, and could yield further differential invariants for four-manifolds.
The theory includes fluctuations of the vierbein fields, but there exits a
non-trivial phase which can be expressed in terms of Witten's topological
quantum field theory. In this phase, the descent sequences are degenerate, and
the corresponding classical solutions can be identified with the conformally
self-dual sector of Einstein manifolds. The full theory includes fluctuations
which bring the system out of this sector while preserving diffeomorphism
invariance.
| [
{
"created": "Fri, 6 Mar 1992 13:54:17 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Chang",
"Lay Nam",
""
],
[
"Soo",
"Chopin",
""
]
] | We discuss the BRST cohomologies of the invariants associated with the description of classical and quantum gravity in four dimensions, using the Ashtekar variables. These invariants are constructed from several BRST cohomology sequences. They provide a systematic and clear characterization of non-local observables in general relativity with unbroken diffeomorphism invariance, and could yield further differential invariants for four-manifolds. The theory includes fluctuations of the vierbein fields, but there exits a non-trivial phase which can be expressed in terms of Witten's topological quantum field theory. In this phase, the descent sequences are degenerate, and the corresponding classical solutions can be identified with the conformally self-dual sector of Einstein manifolds. The full theory includes fluctuations which bring the system out of this sector while preserving diffeomorphism invariance. |
0903.1458 | Oliver DeWolfe | Oliver DeWolfe and Christopher Rosen | Robustness of Sound Speed and Jet Quenching for Gauge/Gravity Models of
Hot QCD | 21 pages, 9 figures, LaTeX. v2:references added, minor correction to
speed of sound; conclusions unchanged | JHEP 0907:022,2009 | 10.1088/1126-6708/2009/07/022 | COLO-HEP-544 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We probe the effectiveness and robustness of a simple gauge/gravity dual
model of the QCD fireball that breaks conformal symmetry by constructing a
family of similar geometries that solve the scalar/gravity equations of motion.
This family has two parameters, one of which is associated to the temperature.
We calculate two quantities, the speed of sound and the jet-quenching
parameter. We find the speed of sound to be universal and robust over all the
geometries when appropriate units are used, while the jet-quenching parameter
varies significantly away from the conformal limit. We note that the overall
structure of the jet-quenching depends strongly on whether the running scalar
is the dilaton or not. We also discuss the variation of the scalar potential
over our family of solutions, and truncate our results to where the associated
error is small.
| [
{
"created": "Mon, 9 Mar 2009 17:57:54 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Apr 2009 17:43:24 GMT",
"version": "v2"
}
] | 2009-07-22 | [
[
"DeWolfe",
"Oliver",
""
],
[
"Rosen",
"Christopher",
""
]
] | We probe the effectiveness and robustness of a simple gauge/gravity dual model of the QCD fireball that breaks conformal symmetry by constructing a family of similar geometries that solve the scalar/gravity equations of motion. This family has two parameters, one of which is associated to the temperature. We calculate two quantities, the speed of sound and the jet-quenching parameter. We find the speed of sound to be universal and robust over all the geometries when appropriate units are used, while the jet-quenching parameter varies significantly away from the conformal limit. We note that the overall structure of the jet-quenching depends strongly on whether the running scalar is the dilaton or not. We also discuss the variation of the scalar potential over our family of solutions, and truncate our results to where the associated error is small. |
hep-th/9909124 | Romuald A. Janik | Romuald A. Janik (Saclay & Jagellonian U.) | Gauge Theory Scattering from the AdS/CFT correspondence | Talk presented at the NATO ASI `Progress in String Theory and
M-theory' Cargese 99. 4 pages, 1 figure, uses cargese.cls | null | null | null | hep-th hep-ph | null | We use the AdS/CFT correspondence to study near forward scattering of
colourless objects in gauge theory in the high energy limit. We find an
unexpected from the gauge theory perspective `gravity-like' s^1 behaviour of
the amplitudes coming from bulk graviton exchange. The details of the
calculations are presented in hep-th/9907177.
| [
{
"created": "Fri, 17 Sep 1999 09:12:35 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Janik",
"Romuald A.",
"",
"Saclay & Jagellonian U."
]
] | We use the AdS/CFT correspondence to study near forward scattering of colourless objects in gauge theory in the high energy limit. We find an unexpected from the gauge theory perspective `gravity-like' s^1 behaviour of the amplitudes coming from bulk graviton exchange. The details of the calculations are presented in hep-th/9907177. |
1211.6882 | Amilcar Queiroz Mr | M. Asorey, A. P. Balachandran, G. Marmo, I. P. Costa e Silva, A. R. de
Queiroz, P. Teotonio-Sobrinho, S. Vaidya | Quantum Physics and Fluctuating Topologies: Survey | 6 pages | null | null | null | hep-th gr-qc math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The spin-statistics connection, quantum gravity and other physical
considerations suggest that classical space-time topology is not an immutable
attribute and can change in quantum physics. The implementation of topology
change using quantum principles has been studied for over two decades by a few
of us. There has been a recent revival of interest in some of our work, dating
back to as early as 1995. The present paper is meant as a resource article to
our major relevant papers. It contains summaries of the contents of the cited
papers and the corresponding links wherever available.
| [
{
"created": "Thu, 29 Nov 2012 11:20:08 GMT",
"version": "v1"
}
] | 2012-11-30 | [
[
"Asorey",
"M.",
""
],
[
"Balachandran",
"A. P.",
""
],
[
"Marmo",
"G.",
""
],
[
"Silva",
"I. P. Costa e",
""
],
[
"de Queiroz",
"A. R.",
""
],
[
"Teotonio-Sobrinho",
"P.",
""
],
[
"Vaidya",
"S.",
""
]
] | The spin-statistics connection, quantum gravity and other physical considerations suggest that classical space-time topology is not an immutable attribute and can change in quantum physics. The implementation of topology change using quantum principles has been studied for over two decades by a few of us. There has been a recent revival of interest in some of our work, dating back to as early as 1995. The present paper is meant as a resource article to our major relevant papers. It contains summaries of the contents of the cited papers and the corresponding links wherever available. |
0705.3263 | J. Gamboa | P. Arias, H. Falomir, J. Gamboa, F. Mendez and F. A. Schaposnik | Chiral Anomaly Beyond Lorentz Invariance | Final version. To be published in PRD | Phys.Rev.D76:025019,2007 | 10.1103/PhysRevD.76.025019 | null | hep-th hep-ph | null | The chiral anomaly in the context of an extended standard model with minimal
Lorentz invariance violation is studied. Taking into account bounds from
measurements of the speed of light, we argue that the chiral anomaly and its
consequences are general results valid even beyond the relativistic symmetry.
| [
{
"created": "Tue, 22 May 2007 22:23:11 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Jun 2007 21:36:21 GMT",
"version": "v2"
},
{
"created": "Fri, 15 Jun 2007 19:20:07 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Arias",
"P.",
""
],
[
"Falomir",
"H.",
""
],
[
"Gamboa",
"J.",
""
],
[
"Mendez",
"F.",
""
],
[
"Schaposnik",
"F. A.",
""
]
] | The chiral anomaly in the context of an extended standard model with minimal Lorentz invariance violation is studied. Taking into account bounds from measurements of the speed of light, we argue that the chiral anomaly and its consequences are general results valid even beyond the relativistic symmetry. |
1605.02553 | Arpan Bhattacharyya | Arpan Bhattacharyya, Long Cheng, Ling-Yan Hung | Relative Entropy, Mixed Gauge-Gravitational Anomaly and Causality | 21 pages, Details added, typos fixed, references updated; version to
appear in JHEP | JHEP07(2016)121 | 10.1007/JHEP07(2016)121 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note we explored the holographic relative entropy in the presence of
the 5d Chern-Simons term, which introduces a mixed gauge-gravity anomaly to the
dual CFT. The theory trivially satisfies an entanglement first law. However, to
quadratic order in perturbations of the stress tensor $T$ and current density
$J$, there is a mixed contribution to the relative entropy bi-linear in $T$ and
$J$, signalling a potential violation of the positivity of the relative
entropy. Miraculously, the term vanishes up to linear order in a derivative
expansion. This prompted a closer inspection on a different consistency check,
that involves time-delay of a graviton propagating in a charged background,
scattered via a coupling supplied by the Chern-Simons term. The analysis
suggests that the time-delay can take either sign, potentially violating
causality for any finite value of the CS coupling.
| [
{
"created": "Mon, 9 May 2016 12:27:45 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Jul 2016 06:38:09 GMT",
"version": "v2"
}
] | 2016-08-24 | [
[
"Bhattacharyya",
"Arpan",
""
],
[
"Cheng",
"Long",
""
],
[
"Hung",
"Ling-Yan",
""
]
] | In this note we explored the holographic relative entropy in the presence of the 5d Chern-Simons term, which introduces a mixed gauge-gravity anomaly to the dual CFT. The theory trivially satisfies an entanglement first law. However, to quadratic order in perturbations of the stress tensor $T$ and current density $J$, there is a mixed contribution to the relative entropy bi-linear in $T$ and $J$, signalling a potential violation of the positivity of the relative entropy. Miraculously, the term vanishes up to linear order in a derivative expansion. This prompted a closer inspection on a different consistency check, that involves time-delay of a graviton propagating in a charged background, scattered via a coupling supplied by the Chern-Simons term. The analysis suggests that the time-delay can take either sign, potentially violating causality for any finite value of the CS coupling. |
1008.2553 | Galen Sotkov | U.Camara dS and G.M.Sotkov (Espirito Santo Fed.Univ., Vitoria, Brazil) | New Massive Gravity Domain Walls | 12 pages,v2-misprints corrected,comments concerning BPS eqs. for NMG
model in d>3 added in Sect.7 | Phys.Lett.B694:94-99,2010 | 10.1016/j.physletb.2010.09.042 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The properties of the asymptotic $AdS_3$ space-times representing flat domain
walls (DW's) solutions of the New Massive 3D Gravity with scalar matter are
studied. Our analysis is based on $I^{st}$ order BPS-like equations involving
an appropriate superpotential. The Brown-York boundary stress-tensor is used
for the calculation of DW's tensions as well as of the $CFT_2$'s central
charges. The holographic renormalization group flows and the phase transitions
in specific deformed $CFT_2$ dual to 3D massive gravity model with quadratic
superpotential are discussed.
| [
{
"created": "Sun, 15 Aug 2010 22:57:06 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Sep 2010 21:28:45 GMT",
"version": "v2"
}
] | 2014-11-21 | [
[
"dS",
"U. Camara",
"",
"Espirito Santo Fed.Univ., Vitoria, Brazil"
],
[
"Sotkov",
"G. M.",
"",
"Espirito Santo Fed.Univ., Vitoria, Brazil"
]
] | The properties of the asymptotic $AdS_3$ space-times representing flat domain walls (DW's) solutions of the New Massive 3D Gravity with scalar matter are studied. Our analysis is based on $I^{st}$ order BPS-like equations involving an appropriate superpotential. The Brown-York boundary stress-tensor is used for the calculation of DW's tensions as well as of the $CFT_2$'s central charges. The holographic renormalization group flows and the phase transitions in specific deformed $CFT_2$ dual to 3D massive gravity model with quadratic superpotential are discussed. |
1104.4123 | Marco Cariglia | Marco Cariglia, Pavel Krtous, David Kubiznak | Dirac Equation in Kerr-NUT-(A)dS Spacetimes: Intrinsic Characterization
of Separability in All Dimensions | 11 pages, no figures | Phys.Rev.D84:024008,2011 | 10.1103/PhysRevD.84.024008 | DAMTP-2011-23 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We intrinsically characterize separability of the Dirac equation in
Kerr-NUT-(A)dS spacetimes in all dimensions. Namely, we explicitly demonstrate
that in such spacetimes there exists a complete set of first-order mutually
commuting operators, one of which is the Dirac operator, that allows for common
eigenfunctions which can be found in a separated form and correspond precisely
to the general solution of the Dirac equation found by Oota and Yasui
[arXiv:0711.0078]. Since all the operators in the set can be generated from the
principal conformal Killing-Yano tensor, this establishes the (up to now)
missing link among the existence of hidden symmetry, presence of a complete set
of commuting operators, and separability of the Dirac equation in these
spacetimes.
| [
{
"created": "Wed, 20 Apr 2011 20:10:00 GMT",
"version": "v1"
}
] | 2011-08-22 | [
[
"Cariglia",
"Marco",
""
],
[
"Krtous",
"Pavel",
""
],
[
"Kubiznak",
"David",
""
]
] | We intrinsically characterize separability of the Dirac equation in Kerr-NUT-(A)dS spacetimes in all dimensions. Namely, we explicitly demonstrate that in such spacetimes there exists a complete set of first-order mutually commuting operators, one of which is the Dirac operator, that allows for common eigenfunctions which can be found in a separated form and correspond precisely to the general solution of the Dirac equation found by Oota and Yasui [arXiv:0711.0078]. Since all the operators in the set can be generated from the principal conformal Killing-Yano tensor, this establishes the (up to now) missing link among the existence of hidden symmetry, presence of a complete set of commuting operators, and separability of the Dirac equation in these spacetimes. |
hep-th/0609125 | Shabnam Beheshti | Jennie D'Ambroise and Floyd L. Williams | A non-linear Schrodinger type formulation of FLRW scalar field cosmology | 9 pages, no figures | null | null | null | hep-th gr-qc | null | We show that the Friedmann-Lemaitre-Robertson-Walker equations with scalar
field and perfect fluid matter source are equivalent to a suitable non-linear
Schrodinger type equation. This provides for an alternate method of obtaining
exact solutions of the Einstein field equations for a homogeneous, isotropic
universe.
| [
{
"created": "Tue, 19 Sep 2006 01:10:02 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"D'Ambroise",
"Jennie",
""
],
[
"Williams",
"Floyd L.",
""
]
] | We show that the Friedmann-Lemaitre-Robertson-Walker equations with scalar field and perfect fluid matter source are equivalent to a suitable non-linear Schrodinger type equation. This provides for an alternate method of obtaining exact solutions of the Einstein field equations for a homogeneous, isotropic universe. |
2111.09690 | Bea Noether | Hitoshi Murayama, Bea Noether, and Digvijay Roy Varier | Broken Conformal Window | 7 pages, 5 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the edges of the conformal window of supersymmetric $SU(N_c)$
QCD, perturbed by Anomaly Mediated Supersymmetry Breaking (AMSB), break chiral
symmetry. We do so by perturbatively expanding around Banks--Zaks fixed points
and taking advantage of Seiberg duality. Interpolating between the edges of the
conformal window, we predict that non-supersymmetric QCD breaks chiral symmetry
up to $N_f \leq 3N_c - 1$, while we cannot say anything definitive for $N_f
\geq 3N_c$ at this moment.
| [
{
"created": "Thu, 18 Nov 2021 13:52:15 GMT",
"version": "v1"
}
] | 2021-11-19 | [
[
"Murayama",
"Hitoshi",
""
],
[
"Noether",
"Bea",
""
],
[
"Varier",
"Digvijay Roy",
""
]
] | We show that the edges of the conformal window of supersymmetric $SU(N_c)$ QCD, perturbed by Anomaly Mediated Supersymmetry Breaking (AMSB), break chiral symmetry. We do so by perturbatively expanding around Banks--Zaks fixed points and taking advantage of Seiberg duality. Interpolating between the edges of the conformal window, we predict that non-supersymmetric QCD breaks chiral symmetry up to $N_f \leq 3N_c - 1$, while we cannot say anything definitive for $N_f \geq 3N_c$ at this moment. |
0807.3485 | Alexander E. Shalyt-Margolin | Alexander E. Shalyt-Margolin | Some Comments on Dynamical Character of Cosmological Constant and GUP | 8 pages | Foundations and Advances in Nonlinear Science, Proc. of the 14th
Conference-School, Minsk 2009, pp. 103-107 | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper the results obtained by Minic and his colleagues on the
uncertainty relation of the pair "cosmological constant - volume of
space-time", where cosmological constant is a dynamical quantity, are
reconsidered and generalized proceeding from a more natural viewpoint. It is
demonstrated that on the basis of simple and natural assumptions this relation
may be understood with the help of the uncertainty relation for the pair
"energy - time". Since the latter is generalized at Planck's scales (Early
Universe)- GUP, the first one may be generalized in a similar way. This means
that we can suggest GUP for the pair "cosmological constant - space-time
volume". Here the relation is derived in the explicit form, and also some
implications are considered.
| [
{
"created": "Tue, 22 Jul 2008 14:05:29 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Dec 2009 12:30:04 GMT",
"version": "v2"
}
] | 2009-12-15 | [
[
"Shalyt-Margolin",
"Alexander E.",
""
]
] | In this paper the results obtained by Minic and his colleagues on the uncertainty relation of the pair "cosmological constant - volume of space-time", where cosmological constant is a dynamical quantity, are reconsidered and generalized proceeding from a more natural viewpoint. It is demonstrated that on the basis of simple and natural assumptions this relation may be understood with the help of the uncertainty relation for the pair "energy - time". Since the latter is generalized at Planck's scales (Early Universe)- GUP, the first one may be generalized in a similar way. This means that we can suggest GUP for the pair "cosmological constant - space-time volume". Here the relation is derived in the explicit form, and also some implications are considered. |
hep-th/0003010 | Ahmad Shirzad | F Loran and A Shirzad | Classification of constraints using chain by chain method | 23 pages, to appear in Int. J. Mod. Phys. A | Int.J.Mod.Phys. A17 (2002) 625-642 | 10.1142/S0217751X02009643 | null | hep-th | null | We introduce "chain by chain" method for constructing the constraint
structure of a system possessing both first and second class constraints. We
show that the whole constraints can be classified into completely irreducible
first or second class chains. We found appropriate redefinition of second class
constraints to obtain a symplectic algebra among them.
| [
{
"created": "Wed, 1 Mar 2000 18:01:53 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Dec 2001 06:09:51 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Loran",
"F",
""
],
[
"Shirzad",
"A",
""
]
] | We introduce "chain by chain" method for constructing the constraint structure of a system possessing both first and second class constraints. We show that the whole constraints can be classified into completely irreducible first or second class chains. We found appropriate redefinition of second class constraints to obtain a symplectic algebra among them. |
1512.02533 | Konstantin Zarembo | O. Foda and K. Zarembo | Overlaps of Partial Neel States and Bethe States | 18 pages, 8 figures; v2: ref. added, minor misprints corrected; v3:
arguments in sec. 4 improved | Journal of Statistical Mechanics, 1602 (2016) no.2, 023107 | 10.1088/1742-5468/2016/02/023107 | NORDITA-2015-133, UUITP-27/15 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Partial Neel states are generalizations of the ordinary Neel (classical
anti-ferromagnet) state that can have arbitrary integer spin. We study overlaps
of these states with Bethe states. We first identify this overlap with a
partial version of reflecting-boundary domain-wall partition function, and then
derive various determinant representations for off-shell and on-shell Bethe
states.
| [
{
"created": "Tue, 8 Dec 2015 16:44:43 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Dec 2015 08:21:59 GMT",
"version": "v2"
},
{
"created": "Tue, 2 Feb 2016 09:48:45 GMT",
"version": "v3"
}
] | 2016-03-28 | [
[
"Foda",
"O.",
""
],
[
"Zarembo",
"K.",
""
]
] | Partial Neel states are generalizations of the ordinary Neel (classical anti-ferromagnet) state that can have arbitrary integer spin. We study overlaps of these states with Bethe states. We first identify this overlap with a partial version of reflecting-boundary domain-wall partition function, and then derive various determinant representations for off-shell and on-shell Bethe states. |
1412.6255 | Christian Saemann | Christian Saemann | Bootstrapping Fuzzy Scalar Field Theory | 16 pages, improved version published in JHEP | JHEP 04 (2015) 044 | 10.1007/JHEP04(2015)044 | EMPG-14-23 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe a new way of rewriting the partition function of scalar field
theory on fuzzy complex projective spaces as a solvable multitrace matrix
model. This model is given as a perturbative high-temperature expansion. At
each order, we present an explicit analytic expression for most of the arising
terms; the remaining terms are computed explicitly up to fourth order. The
method presented here can be applied to any model of hermitian matrices. Our
results confirm constraints previously derived for the multitrace matrix model
by Polychronakos. A further implicit expectation about the shape of the
multitrace terms is however shown not to be true.
| [
{
"created": "Fri, 19 Dec 2014 09:15:32 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Apr 2015 09:56:09 GMT",
"version": "v2"
}
] | 2015-04-14 | [
[
"Saemann",
"Christian",
""
]
] | We describe a new way of rewriting the partition function of scalar field theory on fuzzy complex projective spaces as a solvable multitrace matrix model. This model is given as a perturbative high-temperature expansion. At each order, we present an explicit analytic expression for most of the arising terms; the remaining terms are computed explicitly up to fourth order. The method presented here can be applied to any model of hermitian matrices. Our results confirm constraints previously derived for the multitrace matrix model by Polychronakos. A further implicit expectation about the shape of the multitrace terms is however shown not to be true. |
hep-th/0412002 | Shinji Tsujikawa | Mohammad R. Garousi, M. Sami, Shinji Tsujikawa | Constraints on Dirac-Born-Infeld type dark energy models from varying
alpha | 11 pages, 6 figures | Phys.Rev.D71:083005,2005 | 10.1103/PhysRevD.71.083005 | null | hep-th astro-ph gr-qc hep-ph | null | We study the variation of the effective fine structure constant alpha for
Dirac-Born-Infeld (DBI) type dark energy models. The DBI action based on string
theory naturally gives rise to a coupling between gauge fields and a scalar
field responsible for accelerated expansion of the universe. This leads to the
change of alpha due to a dynamical evolution of the scalar field, which can be
compatible with the recently observed cosmological data around the redshift
$\tilde{z} \lesssim 3$. We place constraints on several different DBI models
including exponential, inverse power-law and rolling massive scalar potentials.
We find that these models can satisfy the varying alpha constraint provided
that mass scales of the potentials are fine-tuned. When we adopt the mass
scales which are motivated by string theory, both exponential and inverse
power-law potentials give unacceptably large change of alpha, thus ruled out
from observations. On the other hand the rolling massive scalar potential is
compatible with the observationally allowed variation of alpha. Therefore the
information of varying alpha provides a powerful way to distinguish between a
number of string-inspired DBI dark energy models.
| [
{
"created": "Wed, 1 Dec 2004 00:13:32 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Garousi",
"Mohammad R.",
""
],
[
"Sami",
"M.",
""
],
[
"Tsujikawa",
"Shinji",
""
]
] | We study the variation of the effective fine structure constant alpha for Dirac-Born-Infeld (DBI) type dark energy models. The DBI action based on string theory naturally gives rise to a coupling between gauge fields and a scalar field responsible for accelerated expansion of the universe. This leads to the change of alpha due to a dynamical evolution of the scalar field, which can be compatible with the recently observed cosmological data around the redshift $\tilde{z} \lesssim 3$. We place constraints on several different DBI models including exponential, inverse power-law and rolling massive scalar potentials. We find that these models can satisfy the varying alpha constraint provided that mass scales of the potentials are fine-tuned. When we adopt the mass scales which are motivated by string theory, both exponential and inverse power-law potentials give unacceptably large change of alpha, thus ruled out from observations. On the other hand the rolling massive scalar potential is compatible with the observationally allowed variation of alpha. Therefore the information of varying alpha provides a powerful way to distinguish between a number of string-inspired DBI dark energy models. |
1803.04549 | Edwin Ireson | Edwin Ireson, Mikhail Shifman, Alexei Yung | Supersymmetrising the GSY Soliton | 29 pages, 4 figures, extra references added | Phys. Rev. D 97, 105021 (2018) | 10.1103/PhysRevD.97.105021 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We supersymmetrise the Hopfion studied in a previous work. This soliton
represents a closed semilocal vortex string in $U(1)$ gauge theory. It carries
nonzero Hopf number due to the additional winding of a phase modulus as one
moves along the closed string. We study this solution in $\mathcal{N}= 2$
supersymmetric QED with two flavours. As a preliminary exercise we compactify
one space dimension and consider a straight vortex with periodic boundary
conditions. It turns out to be 1/2-BPS saturated. An additional winding along
the string can be introduced and it does not spoil the BPS nature of the
object. Next, we consider a ring-like vortex in a non-compact space and show
that the circumference of the ring $L$ can be stabilised once the previously
mentioned winding along the string is introduced. Of course the ring-like
vortex is not BPS but its energy becomes close to the BPS bound if $L$ is
large, which can be guaranteed in the case that we have a large value of the
angular momentum $J$. Thus we arrive at the concept of asymptotically
BPS-saturated solitons. BPS saturation is achieved in the limit $J\rightarrow
\infty$.
| [
{
"created": "Mon, 12 Mar 2018 21:54:32 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Mar 2018 16:36:15 GMT",
"version": "v2"
}
] | 2018-06-06 | [
[
"Ireson",
"Edwin",
""
],
[
"Shifman",
"Mikhail",
""
],
[
"Yung",
"Alexei",
""
]
] | We supersymmetrise the Hopfion studied in a previous work. This soliton represents a closed semilocal vortex string in $U(1)$ gauge theory. It carries nonzero Hopf number due to the additional winding of a phase modulus as one moves along the closed string. We study this solution in $\mathcal{N}= 2$ supersymmetric QED with two flavours. As a preliminary exercise we compactify one space dimension and consider a straight vortex with periodic boundary conditions. It turns out to be 1/2-BPS saturated. An additional winding along the string can be introduced and it does not spoil the BPS nature of the object. Next, we consider a ring-like vortex in a non-compact space and show that the circumference of the ring $L$ can be stabilised once the previously mentioned winding along the string is introduced. Of course the ring-like vortex is not BPS but its energy becomes close to the BPS bound if $L$ is large, which can be guaranteed in the case that we have a large value of the angular momentum $J$. Thus we arrive at the concept of asymptotically BPS-saturated solitons. BPS saturation is achieved in the limit $J\rightarrow \infty$. |
hep-th/9906103 | Machiko Hatsuda | Machiko Hatsuda, Kiyoshi Kamimura and Sayaka Sekiya | Electric-Magnetic Duality Invariant Lagrangians | 15 pages, Latex, minor changes in the introduction, final version to
be published in Nuclear Physics B | Nucl.Phys. B561 (1999) 341-353 | 10.1016/S0550-3213(99)00509-X | null | hep-th | null | We find general non-linear lagrangians of a U(1) field invariant under
electric-magnetic duality. They are characterized by an arbitrary function and
go to the Maxwell theory in the weak field limit. We give some explicit
examples which are generalizations of the Born-Infeld theory.
| [
{
"created": "Tue, 15 Jun 1999 12:05:47 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Aug 1999 02:44:36 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Hatsuda",
"Machiko",
""
],
[
"Kamimura",
"Kiyoshi",
""
],
[
"Sekiya",
"Sayaka",
""
]
] | We find general non-linear lagrangians of a U(1) field invariant under electric-magnetic duality. They are characterized by an arbitrary function and go to the Maxwell theory in the weak field limit. We give some explicit examples which are generalizations of the Born-Infeld theory. |
hep-th/9503158 | Chris Pope | H. Lu, C.N. Pope and K.W. Xu | BRST Operators for Higher-spin Algebras | 9 pages. CTP TAMU-13/95. | Phys.Lett.B358:239-245,1995 | 10.1016/0370-2693(95)01030-T | null | hep-th | null | In this paper, we construct non-critical BRST operators for matter and
Liouville systems whose currents generate two different $W$ algebras. At the
classical level, we construct the BRST operators for $W^{\rm M}_{2,s}\otimes
W^{\rm L}_{2,s'}$. The construction is possible for $s=s'$ or $s\ge s'+2$. We
also obtain the BRST operator for $W^{\rm M}_{2,4}\otimes W^{\rm L}_4$ at the
classical level. We use free scalar realisations for the matter currents in the
above constructions. At the full quantum level, we obtain the BRST operators
for $W^{\rm M}_{2,s}\otimes W^{\rm L}_2$ with $s=4,5, 6$, where $W_2$ denotes
the Virasoro algebra. For the first and last cases, the BRST operators are
expressed in terms of abstract matter and Liouville currents. As a by-product,
we obtain the $W_{2,4}$ algebra at $c=-24$ and the $W_{2,6}$ algebra at $c=-2$
and $-\ft{286}3$, at which values the algebras were previously believed not to
exist.
| [
{
"created": "Thu, 23 Mar 1995 22:08:01 GMT",
"version": "v1"
}
] | 2009-10-07 | [
[
"Lu",
"H.",
""
],
[
"Pope",
"C. N.",
""
],
[
"Xu",
"K. W.",
""
]
] | In this paper, we construct non-critical BRST operators for matter and Liouville systems whose currents generate two different $W$ algebras. At the classical level, we construct the BRST operators for $W^{\rm M}_{2,s}\otimes W^{\rm L}_{2,s'}$. The construction is possible for $s=s'$ or $s\ge s'+2$. We also obtain the BRST operator for $W^{\rm M}_{2,4}\otimes W^{\rm L}_4$ at the classical level. We use free scalar realisations for the matter currents in the above constructions. At the full quantum level, we obtain the BRST operators for $W^{\rm M}_{2,s}\otimes W^{\rm L}_2$ with $s=4,5, 6$, where $W_2$ denotes the Virasoro algebra. For the first and last cases, the BRST operators are expressed in terms of abstract matter and Liouville currents. As a by-product, we obtain the $W_{2,4}$ algebra at $c=-24$ and the $W_{2,6}$ algebra at $c=-2$ and $-\ft{286}3$, at which values the algebras were previously believed not to exist. |
2405.00528 | Klaus Sibold | Klaus Sibold | Einstein-Hilbert gravity, higher derivatives and a scalar matter field | arXiv admin note: substantial text overlap with arXiv:2012.11450 | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The present paper extends two previous one's on pure gravity dealing with
Einstein-Hilbert and higher derivatives by including a massless scalar field as
representative of matter. We study the renormalization to all orders of
perturbation theory, provide the Slavnov-Taylor identity, symmetric partial
differential equations and derive finiteness properties in the Landau gauge. It
is shown that beginning with one-loop negative norm states originating from
higher derivatives disappear.
| [
{
"created": "Wed, 1 May 2024 14:01:37 GMT",
"version": "v1"
}
] | 2024-05-02 | [
[
"Sibold",
"Klaus",
""
]
] | The present paper extends two previous one's on pure gravity dealing with Einstein-Hilbert and higher derivatives by including a massless scalar field as representative of matter. We study the renormalization to all orders of perturbation theory, provide the Slavnov-Taylor identity, symmetric partial differential equations and derive finiteness properties in the Landau gauge. It is shown that beginning with one-loop negative norm states originating from higher derivatives disappear. |
1506.02035 | Joanna L. Karczmarek | Mathias Hudoba de Badyn, Joanna L. Karczmarek, Philippe
Sabella-Garnier and Ken Huai-Che Yeh | Emergent geometry of membranes | 34 pages, 7 figures. v2: added references | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In work arXiv:1204.2788, a surface embedded in flat $R^3$ is associated to
any three hermitian matrices. We study this emergent surface when the matrices
are large, by constructing coherent states corresponding to points in the
emergent geometry. We find the original matrices determine not only shape of
the emergent surface, but also a unique Poisson structure. We prove that
commutators of matrix operators correspond to Poisson brackets. Through our
construction, we can realize arbitrary noncommutative membranes: for example,
we examine a round sphere with a non-spherically symmetric Poisson structure.
We also give a natural construction for a noncommutative torus embedded in
$R^3$. Finally, we make remarks about area and find matrix equations for
minimal area surfaces.
| [
{
"created": "Fri, 5 Jun 2015 20:00:32 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Jun 2015 20:30:58 GMT",
"version": "v2"
}
] | 2015-06-30 | [
[
"de Badyn",
"Mathias Hudoba",
""
],
[
"Karczmarek",
"Joanna L.",
""
],
[
"Sabella-Garnier",
"Philippe",
""
],
[
"Yeh",
"Ken Huai-Che",
""
]
] | In work arXiv:1204.2788, a surface embedded in flat $R^3$ is associated to any three hermitian matrices. We study this emergent surface when the matrices are large, by constructing coherent states corresponding to points in the emergent geometry. We find the original matrices determine not only shape of the emergent surface, but also a unique Poisson structure. We prove that commutators of matrix operators correspond to Poisson brackets. Through our construction, we can realize arbitrary noncommutative membranes: for example, we examine a round sphere with a non-spherically symmetric Poisson structure. We also give a natural construction for a noncommutative torus embedded in $R^3$. Finally, we make remarks about area and find matrix equations for minimal area surfaces. |
2307.00241 | Vardarajan Suneeta | Mohd Ali, Vardarajan Suneeta | Generalized Entropy in Higher Curvature Gravity And Entropy of Algebra
of Observables | 33 pages, 3 figures, expository Appendix added, version to appear in
Physical Review D | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | Recently, Chandrasekaran, Penington and Witten (CPW) have shown that the
generalized entropy of the Schwarzschild black hole at the bifurcation surface
equals the entropy of an extended von Neumann algebra of quantum observables in
the black hole exterior, in semiclassical Einstein gravity. They also derive a
version of the Generalized Second law. We generalize these results to a static
black hole in an arbitrary diffeomorphism invariant theory of gravity. Thus, a
version of the Generalized second law for an arbitrary diffeomorphism invariant
theory of gravity follows.
| [
{
"created": "Sat, 1 Jul 2023 06:04:23 GMT",
"version": "v1"
},
{
"created": "Sat, 15 Jul 2023 04:13:29 GMT",
"version": "v2"
},
{
"created": "Sun, 24 Sep 2023 04:14:18 GMT",
"version": "v3"
}
] | 2023-09-26 | [
[
"Ali",
"Mohd",
""
],
[
"Suneeta",
"Vardarajan",
""
]
] | Recently, Chandrasekaran, Penington and Witten (CPW) have shown that the generalized entropy of the Schwarzschild black hole at the bifurcation surface equals the entropy of an extended von Neumann algebra of quantum observables in the black hole exterior, in semiclassical Einstein gravity. They also derive a version of the Generalized Second law. We generalize these results to a static black hole in an arbitrary diffeomorphism invariant theory of gravity. Thus, a version of the Generalized second law for an arbitrary diffeomorphism invariant theory of gravity follows. |
1403.5038 | Tarek Anous | Tarek Anous, Daniel Z. Freedman and Alexander Maloney | de Sitter Supersymmetry Revisited | 21 pages, 2 figures | null | 10.1007/JHEP07(2014)119 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present the basic $\mathcal{N} =1$ superconformal field theories in
four-dimensional de Sitter space-time, namely the non-abelian super Yang-Mills
theory and the chiral multiplet theory with gauge interactions or cubic
superpotential. These theories have eight supercharges and are invariant under
the full $SO(4,2)$ group of conformal symmetries, which includes the de Sitter
isometry group $SO(4,1)$ as a subgroup. The theories are ghost-free and the
anti-commutator $\sum_\alpha\{Q_\alpha, Q^{\alpha\dagger}\}$ is positive. SUSY
Ward identities uniquely select the Bunch-Davies vacuum state. This vacuum
state is invariant under superconformal transformations, despite the fact that
de Sitter space has non-zero Hawking temperature. The $\mathcal{N}=1$ theories
are classically invariant under the $SU(2,2|1)$ superconformal group, but this
symmetry is broken by radiative corrections. However, no such difficulty is
expected in the $\mathcal{N}=4$ theory, which is presented in appendix B.
| [
{
"created": "Thu, 20 Mar 2014 04:51:56 GMT",
"version": "v1"
}
] | 2015-06-19 | [
[
"Anous",
"Tarek",
""
],
[
"Freedman",
"Daniel Z.",
""
],
[
"Maloney",
"Alexander",
""
]
] | We present the basic $\mathcal{N} =1$ superconformal field theories in four-dimensional de Sitter space-time, namely the non-abelian super Yang-Mills theory and the chiral multiplet theory with gauge interactions or cubic superpotential. These theories have eight supercharges and are invariant under the full $SO(4,2)$ group of conformal symmetries, which includes the de Sitter isometry group $SO(4,1)$ as a subgroup. The theories are ghost-free and the anti-commutator $\sum_\alpha\{Q_\alpha, Q^{\alpha\dagger}\}$ is positive. SUSY Ward identities uniquely select the Bunch-Davies vacuum state. This vacuum state is invariant under superconformal transformations, despite the fact that de Sitter space has non-zero Hawking temperature. The $\mathcal{N}=1$ theories are classically invariant under the $SU(2,2|1)$ superconformal group, but this symmetry is broken by radiative corrections. However, no such difficulty is expected in the $\mathcal{N}=4$ theory, which is presented in appendix B. |
hep-th/0607001 | Axel Krause | Amjad Ashoorioon, Axel Krause | Power Spectrum and Signatures for Cascade Inflation | 14 | null | null | HUTP-06/A0025 | hep-th astro-ph gr-qc | null | The power spectrum of M-theory cascade inflation is derived. It possesses
three distinctive signatures: a decisive power suppression at small scales,
oscillations around the scales that cross the horizon when the inflaton
potential jumps and stepwise decrease in the scalar spectral index. All three
properties result from features in the inflaton potential. Cascade inflation
realizes assisted inflation in heterotic M-theory and is driven by
non-perturbative interactions of N M5-branes. The features in the inflaton
potential are generated whenever two M5-branes collide with the boundaries. The
derived small-scale power suppression serves as a possible explanation for the
dearth of observed dwarf galaxies in the Milky Way halo. The oscillations,
furthermore, allow to directly probe M-theory by measurements of the spectral
index and to distinguish cascade inflation observationally from other string
inflation models.
| [
{
"created": "Fri, 30 Jun 2006 20:06:19 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Ashoorioon",
"Amjad",
""
],
[
"Krause",
"Axel",
""
]
] | The power spectrum of M-theory cascade inflation is derived. It possesses three distinctive signatures: a decisive power suppression at small scales, oscillations around the scales that cross the horizon when the inflaton potential jumps and stepwise decrease in the scalar spectral index. All three properties result from features in the inflaton potential. Cascade inflation realizes assisted inflation in heterotic M-theory and is driven by non-perturbative interactions of N M5-branes. The features in the inflaton potential are generated whenever two M5-branes collide with the boundaries. The derived small-scale power suppression serves as a possible explanation for the dearth of observed dwarf galaxies in the Milky Way halo. The oscillations, furthermore, allow to directly probe M-theory by measurements of the spectral index and to distinguish cascade inflation observationally from other string inflation models. |
hep-th/0510190 | Mary K. Gaillard | Mary K. Gaillard, Ben Kain | Is the Universal String Axion the QCD Axion? | 24 pages | Nucl.Phys.B734:116-137,2006 | 10.1016/j.nuclphysb.2005.11.009 | LBNL-59025, UCB-PTH-05/36 | hep-th hep-ph | null | We consider the class of effective supergravity theories from the weakly
coupled heterotic string in which local supersymmetry is broken by gaugino
condensation in a hidden sector, with dilaton stabilization achieved through
corrections to the classical dilaton K\"ahler potential. If there is a single
hidden condensing (simple) gauge group, the axion is massless (up to
contributions from higher dimension operators) above the QCD condensation
scale. We show how the standard relation between the axion mass and its Planck
scale coupling constant is modified in this class of models due to a
contribution to the axion-gluon coupling that appears below the scale of
supersymmetry breaking when gluinos are integrated out. In particular there is
a point of enhanced symmetry in parameter space where the axion mass is
suppressed. We revisit the question of the universal axion as the Peccei-Quinn
axion in the light of these results, and find that the strong CP problem is
avoided in most compactifications of the weakly coupled heterotic string.
| [
{
"created": "Sat, 22 Oct 2005 05:47:30 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Gaillard",
"Mary K.",
""
],
[
"Kain",
"Ben",
""
]
] | We consider the class of effective supergravity theories from the weakly coupled heterotic string in which local supersymmetry is broken by gaugino condensation in a hidden sector, with dilaton stabilization achieved through corrections to the classical dilaton K\"ahler potential. If there is a single hidden condensing (simple) gauge group, the axion is massless (up to contributions from higher dimension operators) above the QCD condensation scale. We show how the standard relation between the axion mass and its Planck scale coupling constant is modified in this class of models due to a contribution to the axion-gluon coupling that appears below the scale of supersymmetry breaking when gluinos are integrated out. In particular there is a point of enhanced symmetry in parameter space where the axion mass is suppressed. We revisit the question of the universal axion as the Peccei-Quinn axion in the light of these results, and find that the strong CP problem is avoided in most compactifications of the weakly coupled heterotic string. |
2207.02885 | Changrim Ahn | Changrim Ahn and Matthias Staudacher | Spectrum of the Hypereclectic Spin Chain and P\'olya Counting | 5 pages; two column style | null | 10.1016/j.physletb.2022.137533 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | In earlier work we proposed a generating function that encodes the Jordan
block spectrum of the integrable Hypereclectic spin chain, related to the
one-loop dilatation operator of the dynamical fishnet quantum field theory. We
significantly improve the expressions for these generating functions, rendering
them much more explicit and elegant. In particular, we treat the case of the
full spin chain without imposing any cyclicity constraints on the states, as
well as the case of cyclic states. The latter involves the P\'olya enumeration
theorem in conjunction with q-binomial coefficients.
| [
{
"created": "Wed, 6 Jul 2022 18:00:42 GMT",
"version": "v1"
}
] | 2022-10-26 | [
[
"Ahn",
"Changrim",
""
],
[
"Staudacher",
"Matthias",
""
]
] | In earlier work we proposed a generating function that encodes the Jordan block spectrum of the integrable Hypereclectic spin chain, related to the one-loop dilatation operator of the dynamical fishnet quantum field theory. We significantly improve the expressions for these generating functions, rendering them much more explicit and elegant. In particular, we treat the case of the full spin chain without imposing any cyclicity constraints on the states, as well as the case of cyclic states. The latter involves the P\'olya enumeration theorem in conjunction with q-binomial coefficients. |
hep-th/9902054 | Tanya Kuzmenko | P. I. Fomin, T. Yu. Kuzmenko | Quantum Generation of the non-Abelian SU(N) Gauge Fields | LaTeX209, 6 pages, no figures, accepted for publication on Acta
Physica Slovaca | Acta Phys.Slov.49:345-350,1999 | null | null | hep-th | null | In this paper we investigate a generation mechanism of the non-Abelian gauge
fields in the SU(N) gauge theory. It is shown that the SU(N) gauge fields
ensuring the local invariance of the theory are generated at the quantum level
only due to nonsmoothness of the scalar phases of the fundamental spinor
fields. The expression for the gauge fields are obtained in terms of the
nonsmooth scalar phases.
| [
{
"created": "Mon, 8 Feb 1999 10:27:40 GMT",
"version": "v1"
}
] | 2011-07-19 | [
[
"Fomin",
"P. I.",
""
],
[
"Kuzmenko",
"T. Yu.",
""
]
] | In this paper we investigate a generation mechanism of the non-Abelian gauge fields in the SU(N) gauge theory. It is shown that the SU(N) gauge fields ensuring the local invariance of the theory are generated at the quantum level only due to nonsmoothness of the scalar phases of the fundamental spinor fields. The expression for the gauge fields are obtained in terms of the nonsmooth scalar phases. |
1104.0852 | Tsuyoshi Houri | Yukinori Yasui and Tsuyoshi Houri | Hidden Symmetry and Exact Solutions in Einstein Gravity | Invited review for Prog. Theor. Phys. Suppl, 39 pages, 1 figure, 2
tables | null | 10.1143/PTPS.189.126 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Conformal Killing-Yano tensors are introduced as a generalization of Killing
vectors. They describe symmetries of higher-dimensional rotating black holes.
In particular, a rank-2 closed conformal Killing-Yano tensor generates the
tower of both hidden symmetries and isometries. We review a classification of
higher-dimensional spacetimes admitting such a tensor, and present exact
solutions to the Einstein equations for these spacetimes.
| [
{
"created": "Tue, 5 Apr 2011 14:02:50 GMT",
"version": "v1"
}
] | 2015-05-27 | [
[
"Yasui",
"Yukinori",
""
],
[
"Houri",
"Tsuyoshi",
""
]
] | Conformal Killing-Yano tensors are introduced as a generalization of Killing vectors. They describe symmetries of higher-dimensional rotating black holes. In particular, a rank-2 closed conformal Killing-Yano tensor generates the tower of both hidden symmetries and isometries. We review a classification of higher-dimensional spacetimes admitting such a tensor, and present exact solutions to the Einstein equations for these spacetimes. |
1507.03507 | Shotaro Shiba | Takeshi Morita, Shotaro Shiba | Thermodynamics of Intersecting Black Branes from Interacting Elementary
Branes | 1+17 pages | null | null | MISC-2015-01 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | If an Einstein-Maxwell-Dilaton system admits the extreme brane solution in
which no force works between the parallel branes, the collective motion of
nearly parallel branes exhibits the thermodynamical properties which are
coincident with those of the corresponding black branes at low energy regime
(up to unfixed numerical factors). Hence it may provide the microscopic
description of the black branes ($p$-soup proposal). This fact motivates us to
test this proposal in the intersecting black branes which have multiple brane
charges and/or momentum along the brane direction. We consider the case that
the multiple branes satisfy the intersection rule and feel no force when they
are static, and find the agreement to the black hole thermodynamics.
| [
{
"created": "Mon, 13 Jul 2015 16:14:58 GMT",
"version": "v1"
}
] | 2015-07-14 | [
[
"Morita",
"Takeshi",
""
],
[
"Shiba",
"Shotaro",
""
]
] | If an Einstein-Maxwell-Dilaton system admits the extreme brane solution in which no force works between the parallel branes, the collective motion of nearly parallel branes exhibits the thermodynamical properties which are coincident with those of the corresponding black branes at low energy regime (up to unfixed numerical factors). Hence it may provide the microscopic description of the black branes ($p$-soup proposal). This fact motivates us to test this proposal in the intersecting black branes which have multiple brane charges and/or momentum along the brane direction. We consider the case that the multiple branes satisfy the intersection rule and feel no force when they are static, and find the agreement to the black hole thermodynamics. |
2308.01787 | Eric Perlmutter | Gabriele Di Ubaldo, Eric Perlmutter | AdS$_3$ Pure Gravity and Stringy Unitarity | It's short | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We construct a unitary, modular-invariant torus partition function of a
two-dimensional conformal field theory with a Virasoro primary spectral gap of
$\Delta_* = \frac{c-1}{12}$ above the vacuum. The twist gap is identical, apart
from two states $\mathcal{O}_*$ with spin scaling linearly in the central
charge $c$. These states admit an AdS$_3$ interpretation as strongly coupled
strings. All other states are black hole microstates.
| [
{
"created": "Thu, 3 Aug 2023 14:36:15 GMT",
"version": "v1"
}
] | 2023-08-04 | [
[
"Di Ubaldo",
"Gabriele",
""
],
[
"Perlmutter",
"Eric",
""
]
] | We construct a unitary, modular-invariant torus partition function of a two-dimensional conformal field theory with a Virasoro primary spectral gap of $\Delta_* = \frac{c-1}{12}$ above the vacuum. The twist gap is identical, apart from two states $\mathcal{O}_*$ with spin scaling linearly in the central charge $c$. These states admit an AdS$_3$ interpretation as strongly coupled strings. All other states are black hole microstates. |
0812.3155 | Jonathan Heckman | Jonathan J. Heckman, Alireza Tavanfar and Cumrun Vafa | Cosmology of F-theory GUTs | v3: 90 pages, 5 figures, improved figures and discussion of saxion
mass | JHEP 1004:054,2010 | 10.1007/JHEP04(2010)054 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we study the interplay between the recently proposed F-theory
GUTs and cosmology. Despite the fact that the parameter range for F-theory GUT
models is very narrow, we find that F-theory GUTs beautifully satisfy most
cosmological constraints without any further restrictions. The viability of the
scenario hinges on the interplay between various components of the axion
supermultiplet, which in F-theory GUTs is also responsible for breaking
supersymmetry. In these models, the gravitino is the LSP and develops a mass by
eating the axino mode. The radial component of the axion supermultiplet known
as the saxion typically begins to oscillate in the early Universe, eventually
coming to dominate the energy density. Its decay reheats the Universe to a
temperature of ~ 1 GeV, igniting BBN and diluting all thermal relics such as
the gravitino by a factor of ~ 10^(-4) - 10^(-5) such that gravitinos
contribute a sizable component of the dark matter. In certain cases,
non-thermally produced relics such as the axion, or gravitinos generated from
the decay of the saxion can also contribute to the abundance of dark matter.
Remarkably enough, this cosmological scenario turns out to be independent of
the initial reheating temperature of the Universe. This is due to the fact that
the initial oscillation temperature of the saxion coincides with the freeze out
temperature for gravitinos in F-theory GUTs. We also find that saxion dilution
is compatible with generating the desired baryon asymmetry from standard
leptogenesis. Finally, the gravitino mass range in F-theory GUTs is 10-100 MeV,
which interestingly coincides with the window of values required for the decay
of the NLSP to solve the problem of Li(7) over-production.
| [
{
"created": "Wed, 17 Dec 2008 17:26:23 GMT",
"version": "v1"
},
{
"created": "Mon, 18 May 2009 23:07:08 GMT",
"version": "v2"
},
{
"created": "Mon, 31 Aug 2009 21:58:04 GMT",
"version": "v3"
}
] | 2014-11-18 | [
[
"Heckman",
"Jonathan J.",
""
],
[
"Tavanfar",
"Alireza",
""
],
[
"Vafa",
"Cumrun",
""
]
] | In this paper we study the interplay between the recently proposed F-theory GUTs and cosmology. Despite the fact that the parameter range for F-theory GUT models is very narrow, we find that F-theory GUTs beautifully satisfy most cosmological constraints without any further restrictions. The viability of the scenario hinges on the interplay between various components of the axion supermultiplet, which in F-theory GUTs is also responsible for breaking supersymmetry. In these models, the gravitino is the LSP and develops a mass by eating the axino mode. The radial component of the axion supermultiplet known as the saxion typically begins to oscillate in the early Universe, eventually coming to dominate the energy density. Its decay reheats the Universe to a temperature of ~ 1 GeV, igniting BBN and diluting all thermal relics such as the gravitino by a factor of ~ 10^(-4) - 10^(-5) such that gravitinos contribute a sizable component of the dark matter. In certain cases, non-thermally produced relics such as the axion, or gravitinos generated from the decay of the saxion can also contribute to the abundance of dark matter. Remarkably enough, this cosmological scenario turns out to be independent of the initial reheating temperature of the Universe. This is due to the fact that the initial oscillation temperature of the saxion coincides with the freeze out temperature for gravitinos in F-theory GUTs. We also find that saxion dilution is compatible with generating the desired baryon asymmetry from standard leptogenesis. Finally, the gravitino mass range in F-theory GUTs is 10-100 MeV, which interestingly coincides with the window of values required for the decay of the NLSP to solve the problem of Li(7) over-production. |
hep-th/0603042 | Julien Grain | J. Grain, A. Barrau | A WKB approach to scalar fields dynamics in curved space-time | Accepted for publication in Nucl. Phys. B | Nucl.Phys.B742:253-274,2006 | 10.1016/j.nuclphysb.2006.03.001 | null | hep-th astro-ph gr-qc hep-ph | null | Quantum fields exhibit non-trivial behaviours in curved space-times,
especially around black holes or when a cosmological constant is added to the
field equations. A new scheme, based on the Wentzel-Kramers-Brillouin (WKB)
approximation is presented. The main advantage of this method is to allow for a
better physical understanding of previously known results and to give good
orders of magnitude in situations where no other approaches are currently
developed. Greybody factors for evaporating black holes are rederived in this
framework and the energy levels of scalar fields in the Anti-de Sitter (AdS)
spacetime are accurately obtained. Stationary solutions in the
Schwarzschild-Anti-de Sitter (SAdS) background are investigated. Some
improvements and the basics of a line of thought for more complex situations
are suggested.
| [
{
"created": "Mon, 6 Mar 2006 18:27:10 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Grain",
"J.",
""
],
[
"Barrau",
"A.",
""
]
] | Quantum fields exhibit non-trivial behaviours in curved space-times, especially around black holes or when a cosmological constant is added to the field equations. A new scheme, based on the Wentzel-Kramers-Brillouin (WKB) approximation is presented. The main advantage of this method is to allow for a better physical understanding of previously known results and to give good orders of magnitude in situations where no other approaches are currently developed. Greybody factors for evaporating black holes are rederived in this framework and the energy levels of scalar fields in the Anti-de Sitter (AdS) spacetime are accurately obtained. Stationary solutions in the Schwarzschild-Anti-de Sitter (SAdS) background are investigated. Some improvements and the basics of a line of thought for more complex situations are suggested. |
2402.18482 | Horatiu Stefan Nastase | Andr\'es Anabal\'on, Horatiu Nastase and Marcelo Oyarzo | Supersymmetric AdS Solitons and the interconnection of different vacua
of ${\cal N}=4$ Super Yang-Mills | 27 pages, 3 figures; references added; clarifying comments added | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We find AdS soliton solutions in 5-dimensional gauged supergravity, obtained
from the $S^5$ compactification of type IIB, with a dilaton saturating the
Breitenlohner-Freedman bound. The solutions depend on the value of the
periodicity of an $S^1$ cycle and the boundary values for two $U(1)$ gauge
fields, and give a scalar VEV in the dual field theory. At certain values of
the gauge sources we have supersymmetric solutions, corresponding to
supersymmetric flows, which are a deformation of the Coulomb Branch flow in
${\cal N}=4$ SYM. The solutions parameterize quantum phase transitions between
a discrete spectrum phase, a continuous above a mass gap phase, and a
continuous without a mass gap phase, in 2+1 dimensions. We analyze the phase
diagram in terms of the QFT sources and we find that for every value for them,
there are always two branches of supergravity solutions. We find that these two
branches of solitons correspond to two possible vacua existing in the dual QFT
when fermions are anti-periodic on an $S^1$. We describe the interconnection of
these states in the QFT at strong 't Hooft coupling in the large $N$ limit. In
10 dimensions, our solutions are related to deformations of D3-brane
distributions.
| [
{
"created": "Wed, 28 Feb 2024 17:03:53 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Mar 2024 16:29:24 GMT",
"version": "v2"
},
{
"created": "Mon, 29 Apr 2024 17:40:23 GMT",
"version": "v3"
}
] | 2024-04-30 | [
[
"Anabalón",
"Andrés",
""
],
[
"Nastase",
"Horatiu",
""
],
[
"Oyarzo",
"Marcelo",
""
]
] | We find AdS soliton solutions in 5-dimensional gauged supergravity, obtained from the $S^5$ compactification of type IIB, with a dilaton saturating the Breitenlohner-Freedman bound. The solutions depend on the value of the periodicity of an $S^1$ cycle and the boundary values for two $U(1)$ gauge fields, and give a scalar VEV in the dual field theory. At certain values of the gauge sources we have supersymmetric solutions, corresponding to supersymmetric flows, which are a deformation of the Coulomb Branch flow in ${\cal N}=4$ SYM. The solutions parameterize quantum phase transitions between a discrete spectrum phase, a continuous above a mass gap phase, and a continuous without a mass gap phase, in 2+1 dimensions. We analyze the phase diagram in terms of the QFT sources and we find that for every value for them, there are always two branches of supergravity solutions. We find that these two branches of solitons correspond to two possible vacua existing in the dual QFT when fermions are anti-periodic on an $S^1$. We describe the interconnection of these states in the QFT at strong 't Hooft coupling in the large $N$ limit. In 10 dimensions, our solutions are related to deformations of D3-brane distributions. |
0911.2417 | Alin Tirziu | A. Tirziu and A.A. Tseytlin | Semiclassical rigid strings with two spins in AdS_5 | 34 pages, 9 figures | null | 10.1103/PhysRevD.81.026006 | Imperial-TP-AT-2009-5 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Semiclassical spinning string states in AdS_5 are, in general, characterised
by the three SO(2,4) conserved charges: the energy E and the two spins S_1 and
S_2. We discuss several examples of explicit classical solutions for rigid
closed strings of (bended) circular shape with two non-zero spins. In
particular, we identify a solution that should represent a state that has
minimal energy for large values of the two equal spins. Similarly to the spiky
string in AdS_3, in the large spin limit this string develops long "arcs" that
stretch towards the boundary of AdS_5. This allows the string to increase the
spin while having the energy growing only logarithmically with S=S_1 +S_2. The
large spin asymptotics of such solutions is effectively controlled by their
near-boundary parts which, as in the spiky string case, happen to be SO(2,4)
equivalent to segments of the straight folded spinning string. As a result, the
coefficient of the \log S term in the string energy should be given, up to an
overall 3/2 coefficient, by the same universal scaling function (cusp anomaly)
as in the folded string case, to all orders in the inverse string tension or
strong-coupling expansion.
| [
{
"created": "Thu, 12 Nov 2009 20:42:27 GMT",
"version": "v1"
}
] | 2013-05-29 | [
[
"Tirziu",
"A.",
""
],
[
"Tseytlin",
"A. A.",
""
]
] | Semiclassical spinning string states in AdS_5 are, in general, characterised by the three SO(2,4) conserved charges: the energy E and the two spins S_1 and S_2. We discuss several examples of explicit classical solutions for rigid closed strings of (bended) circular shape with two non-zero spins. In particular, we identify a solution that should represent a state that has minimal energy for large values of the two equal spins. Similarly to the spiky string in AdS_3, in the large spin limit this string develops long "arcs" that stretch towards the boundary of AdS_5. This allows the string to increase the spin while having the energy growing only logarithmically with S=S_1 +S_2. The large spin asymptotics of such solutions is effectively controlled by their near-boundary parts which, as in the spiky string case, happen to be SO(2,4) equivalent to segments of the straight folded spinning string. As a result, the coefficient of the \log S term in the string energy should be given, up to an overall 3/2 coefficient, by the same universal scaling function (cusp anomaly) as in the folded string case, to all orders in the inverse string tension or strong-coupling expansion. |
1509.05235 | A. P. Balachandran | A. P. Balachandran | QCD Breaks Lorentz Invariance and Colour | 13 pages | null | 10.1142/S0217732316500607 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a previous work [1], we have argued that the algebra of non-abelian
superselection rules is spontaneously broken to its maximal abelian subalgebra,
that is, the algebra generated by its completing commuting set (the two
Casimirs and a basis of its Cartan subalgebra). In this paper, alternative
arguments confirming these results are presented. In addition, Lorentz
invariance is shown to be broken in QCD, just as it is in QED. The experimental
consequences of these results include fuzzy mass and spin shells of coloured
particles like quarks, and decay life times which depend on the frame of
observation [2-4].
In a paper under preparation, these results are extended to the ADM
Poincar\'e group and the local Lorentz group of frames. The renormalisation of
the ADM energy by infrared gravitons is also studied and estimated.
| [
{
"created": "Thu, 17 Sep 2015 12:39:54 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Jan 2016 12:27:35 GMT",
"version": "v2"
}
] | 2016-04-20 | [
[
"Balachandran",
"A. P.",
""
]
] | In a previous work [1], we have argued that the algebra of non-abelian superselection rules is spontaneously broken to its maximal abelian subalgebra, that is, the algebra generated by its completing commuting set (the two Casimirs and a basis of its Cartan subalgebra). In this paper, alternative arguments confirming these results are presented. In addition, Lorentz invariance is shown to be broken in QCD, just as it is in QED. The experimental consequences of these results include fuzzy mass and spin shells of coloured particles like quarks, and decay life times which depend on the frame of observation [2-4]. In a paper under preparation, these results are extended to the ADM Poincar\'e group and the local Lorentz group of frames. The renormalisation of the ADM energy by infrared gravitons is also studied and estimated. |
hep-th/0208209 | Ari Pankiewicz | Ari Pankiewicz | More comments on superstring interactions in the pp-wave background | v4: error in appendix C corrected, conclusions regarding alternative
zero-mode vertex changed | JHEP 0209 (2002) 056 | 10.1088/1126-6708/2002/09/056 | AEI-2002-064 | hep-th | null | We reconsider light-cone superstring field theory on the maximally
supersymmetric pp-wave background. We find that the results for the fermionic
Neumann matrices given so far in the literature are incomplete and verify our
expressions by relating them to the bosonic Neumann matrices and proving
several non-trivial consistency conditions among them, as for example the
generalization of a flat space factorization theorem for the bosonic Neumann
matrices. We also study the bosonic and fermionic constituents of the prefactor
and point out a subtlety in the relation between continuum and oscillator basis
expressions.
| [
{
"created": "Wed, 28 Aug 2002 15:51:54 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Sep 2002 16:09:26 GMT",
"version": "v2"
},
{
"created": "Fri, 25 Oct 2002 09:04:09 GMT",
"version": "v3"
},
{
"created": "Mon, 16 Dec 2002 14:44:10 GMT",
"version": "v4"
}
] | 2009-11-07 | [
[
"Pankiewicz",
"Ari",
""
]
] | We reconsider light-cone superstring field theory on the maximally supersymmetric pp-wave background. We find that the results for the fermionic Neumann matrices given so far in the literature are incomplete and verify our expressions by relating them to the bosonic Neumann matrices and proving several non-trivial consistency conditions among them, as for example the generalization of a flat space factorization theorem for the bosonic Neumann matrices. We also study the bosonic and fermionic constituents of the prefactor and point out a subtlety in the relation between continuum and oscillator basis expressions. |
0809.4384 | Senthooran Rajamanoharan | Anne-Christine Davis and Senthooran Rajamanoharan | Bogomol'nyi Bounds for Gravitational Cosmic Strings | 17 pages - final version (accepted for publication in JHEP) | JHEP 0901:027,2009 | 10.1088/1126-6708/2009/01/027 | DAMTP-2008-90 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a new method for finding lower bounds on the energy of topological
cosmic string solutions in gravitational field theories. This new method
produces bounds that are valid over the entire space of solutions, unlike the
traditional approach, where the bounds obtained are only valid for
cylindrically symmetric solutions. This method is shown to be a generalisation
of the well-known Bogomol'nyi procedure for non-gravitational theories and as
such, it can be used to find gravitational Bogomol'nyi bounds for models
wherever the traditional Bogomol'nyi procedure can be applied in the
non-gravitational limit. Furthermore, this method yields Bogomol'nyi equations
that do not rule out the existence of asymmetric bound-saturating solutions.
| [
{
"created": "Thu, 25 Sep 2008 14:31:15 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Jan 2009 12:23:41 GMT",
"version": "v2"
}
] | 2009-02-12 | [
[
"Davis",
"Anne-Christine",
""
],
[
"Rajamanoharan",
"Senthooran",
""
]
] | We present a new method for finding lower bounds on the energy of topological cosmic string solutions in gravitational field theories. This new method produces bounds that are valid over the entire space of solutions, unlike the traditional approach, where the bounds obtained are only valid for cylindrically symmetric solutions. This method is shown to be a generalisation of the well-known Bogomol'nyi procedure for non-gravitational theories and as such, it can be used to find gravitational Bogomol'nyi bounds for models wherever the traditional Bogomol'nyi procedure can be applied in the non-gravitational limit. Furthermore, this method yields Bogomol'nyi equations that do not rule out the existence of asymmetric bound-saturating solutions. |
hep-th/9110048 | Psa | Paul S. Aspinwall and David R. Morrison | Topological Field Theory and Rational Curves | 20 pages | Commun.Math.Phys. 151 (1993) 245-262 | 10.1007/BF02096768 | null | hep-th | null | We analyze the superstring propagating on a Calabi-Yau threefold. This theory
naturally leads to the consideration of Witten's topological non-linear
sigma-model and the structure of rational curves on the Calabi-Yau manifold. We
study in detail the case of the world-sheet of the string being mapped to a
multiple cover of an isolated rational curve and we show that a natural
compactification of the moduli space of such a multiple cover leads to a
formula in agreement with a conjecture by Candelas, de la Ossa, Green and
Parkes.
| [
{
"created": "Thu, 17 Oct 1991 09:58:40 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Aspinwall",
"Paul S.",
""
],
[
"Morrison",
"David R.",
""
]
] | We analyze the superstring propagating on a Calabi-Yau threefold. This theory naturally leads to the consideration of Witten's topological non-linear sigma-model and the structure of rational curves on the Calabi-Yau manifold. We study in detail the case of the world-sheet of the string being mapped to a multiple cover of an isolated rational curve and we show that a natural compactification of the moduli space of such a multiple cover leads to a formula in agreement with a conjecture by Candelas, de la Ossa, Green and Parkes. |
2211.09820 | Aur\'elien Dersy | Aur\'elien Dersy, Andrei Khmelnitsky, Riccardo Rattazzi | The Quantum Perfect Fluid in 2D | 63 pages, 8 figures | SciPost Phys. 17, 019 (2024) | 10.21468/SciPostPhys.17.1.019 | null | hep-th cond-mat.other cond-mat.quant-gas | http://creativecommons.org/licenses/by/4.0/ | We consider the field theory that defines a perfect incompressible 2D fluid.
One distinctive property of this system is that the quadratic action for
fluctuations around the ground state features neither mass nor gradient term.
Quantum mechanically this poses a technical puzzle, as it implies the Hilbert
space of fluctuations is not a Fock space and perturbation theory is useless.
As we show, the proper treatment must instead use that the configuration space
is the area preserving Lie group $S\mathrm{Diff}$. Quantum mechanics on Lie
groups is basically a group theory problem, but a harder one in our case, since
$S\mathrm{Diff}$ is infinite dimensional. Focusing on a fluid on the 2-torus
$T^2$, we could however exploit the well known result $S\mathrm{Diff}(T^2)\sim
SU(N)$ for $N\to \infty$, reducing for finite $N$ to a tractable case. $SU(N)$
offers a UV-regulation, but physical quantities can be robustly defined in the
continuum limit $N\to\infty$. The main result of our study is the existence of
ungapped localized excitations, the vortons, satisfying a dispersion $\omega
\propto k^2$ and carrying a vorticity dipole. The vortons are also
characterized by very distinctive derivative interactions whose structure is
fixed by symmetry. Departing from the original incompressible fluid, we
constructed a class of field theories where the vortons appear, right from the
start, as the quanta of either bosonic or fermionic local fields.
| [
{
"created": "Thu, 17 Nov 2022 19:00:00 GMT",
"version": "v1"
}
] | 2024-07-24 | [
[
"Dersy",
"Aurélien",
""
],
[
"Khmelnitsky",
"Andrei",
""
],
[
"Rattazzi",
"Riccardo",
""
]
] | We consider the field theory that defines a perfect incompressible 2D fluid. One distinctive property of this system is that the quadratic action for fluctuations around the ground state features neither mass nor gradient term. Quantum mechanically this poses a technical puzzle, as it implies the Hilbert space of fluctuations is not a Fock space and perturbation theory is useless. As we show, the proper treatment must instead use that the configuration space is the area preserving Lie group $S\mathrm{Diff}$. Quantum mechanics on Lie groups is basically a group theory problem, but a harder one in our case, since $S\mathrm{Diff}$ is infinite dimensional. Focusing on a fluid on the 2-torus $T^2$, we could however exploit the well known result $S\mathrm{Diff}(T^2)\sim SU(N)$ for $N\to \infty$, reducing for finite $N$ to a tractable case. $SU(N)$ offers a UV-regulation, but physical quantities can be robustly defined in the continuum limit $N\to\infty$. The main result of our study is the existence of ungapped localized excitations, the vortons, satisfying a dispersion $\omega \propto k^2$ and carrying a vorticity dipole. The vortons are also characterized by very distinctive derivative interactions whose structure is fixed by symmetry. Departing from the original incompressible fluid, we constructed a class of field theories where the vortons appear, right from the start, as the quanta of either bosonic or fermionic local fields. |
1912.12589 | Konstantin Stepanyantz | Konstantin Stepanyantz | The NSVZ $\beta$-function for theories regularized by higher covariant
derivatives: the all-loop sum of matter and ghost singularities | 38 pages, 4 figures | null | 10.1007/JHEP01(2020)192 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The contributions of the matter superfields and of the Faddeev--Popov ghosts
to the $\beta$-function of ${\cal N}=1$ supersymmetric gauge theories defined
in terms of the bare couplings are calculated in all orders in the case of
using the higher covariant derivative regularization. For this purpose we use
the recently proved statement that the $\beta$-function in these theories is
given by integrals of double total derivatives with respect to the loop
momenta. These integrals do not vanish due to singularities of the integrands.
This implies that the $\beta$-function beyond the one-loop approximation is
given by the sum of the singular contributions, which is calculated in all
orders for singularities produced by the matter superfields and by the
Faddeev--Popov ghosts. The result is expressed in terms of the anomalous
dimensions of these superfields. It coincides with the corresponding part of
the new form of the NSVZ equation, which can be reduced to the original one
with the help of the non-renormalization theorem for the triple gauge-ghost
vertices.
| [
{
"created": "Sun, 29 Dec 2019 06:29:17 GMT",
"version": "v1"
}
] | 2020-02-19 | [
[
"Stepanyantz",
"Konstantin",
""
]
] | The contributions of the matter superfields and of the Faddeev--Popov ghosts to the $\beta$-function of ${\cal N}=1$ supersymmetric gauge theories defined in terms of the bare couplings are calculated in all orders in the case of using the higher covariant derivative regularization. For this purpose we use the recently proved statement that the $\beta$-function in these theories is given by integrals of double total derivatives with respect to the loop momenta. These integrals do not vanish due to singularities of the integrands. This implies that the $\beta$-function beyond the one-loop approximation is given by the sum of the singular contributions, which is calculated in all orders for singularities produced by the matter superfields and by the Faddeev--Popov ghosts. The result is expressed in terms of the anomalous dimensions of these superfields. It coincides with the corresponding part of the new form of the NSVZ equation, which can be reduced to the original one with the help of the non-renormalization theorem for the triple gauge-ghost vertices. |
hep-th/0201044 | V. E. Rochev | V.E. Rochev | On dynamical chiral symmetry breaking in quantum electrodynamics | 11 pages, Plain LaTex, no figures | null | null | IHEP 01-40 | hep-th | null | The problem of dynamical chiral symmetry breaking (DCSB) in multidimensional
quantum electrodynamics (QED) is considered. It is shown that for
six-dimensional QED the phenomenon of DSCB exists in ladder model for any
coupling.
| [
{
"created": "Tue, 8 Jan 2002 09:00:44 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Rochev",
"V. E.",
""
]
] | The problem of dynamical chiral symmetry breaking (DCSB) in multidimensional quantum electrodynamics (QED) is considered. It is shown that for six-dimensional QED the phenomenon of DSCB exists in ladder model for any coupling. |
1406.3235 | Hadi Godazgar | Hadi Godazgar, Mahdi Godazgar, Olaf Hohm, Hermann Nicolai, Henning
Samtleben | Supersymmetric E$_{7(7)}$ Exceptional Field Theory | 38 pages + appendices; published version (JHEP) | null | 10.1007/JHEP09(2014)044 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give the supersymmetric extension of exceptional field theory for
E$_{7(7)}$, which is based on a $(4+56)$-dimensional generalized spacetime
subject to a covariant constraint. The fermions are tensors under the local
Lorentz group ${\rm SO}(1,3)\times {\rm SU}(8)$ and transform as scalar
densities under the E$_{7(7)}$ (internal) generalized diffeomorphisms. The
supersymmetry transformations are manifestly covariant under these symmetries
and close, in particular, into the generalized diffeomorphisms of the
56-dimensional space. We give the fermionic field equations and prove
supersymmetric invariance. We establish the consistency of these results with
the recently constructed generalized geometric formulation of $D=11$
supergravity.
| [
{
"created": "Thu, 12 Jun 2014 13:26:55 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Sep 2014 13:34:55 GMT",
"version": "v2"
}
] | 2015-06-19 | [
[
"Godazgar",
"Hadi",
""
],
[
"Godazgar",
"Mahdi",
""
],
[
"Hohm",
"Olaf",
""
],
[
"Nicolai",
"Hermann",
""
],
[
"Samtleben",
"Henning",
""
]
] | We give the supersymmetric extension of exceptional field theory for E$_{7(7)}$, which is based on a $(4+56)$-dimensional generalized spacetime subject to a covariant constraint. The fermions are tensors under the local Lorentz group ${\rm SO}(1,3)\times {\rm SU}(8)$ and transform as scalar densities under the E$_{7(7)}$ (internal) generalized diffeomorphisms. The supersymmetry transformations are manifestly covariant under these symmetries and close, in particular, into the generalized diffeomorphisms of the 56-dimensional space. We give the fermionic field equations and prove supersymmetric invariance. We establish the consistency of these results with the recently constructed generalized geometric formulation of $D=11$ supergravity. |
2105.00951 | Jarvin Javier Mestra-P\'aez | Jarvin Mestra-P\'aez, Joselen Pe\~na, \'Alvaro Restuccia | Gravitational waves in Ho\v{r}ava-Lifshitz anisotropic gravity | A general argument to obtain the gravitational energy and new
references have been added | null | 10.1103/PhysRevD.104.124073 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We show that in the anisotropic Ho\v{r}ava-Lifshitz gravity there is a
well-defined wave zone where the physical degrees of freedom propagate
according to a non-relativistic linear evolution equation of high order in
spatial derivatives, which reduces to the wave equation at low energy. This is
so, provided the coupling parameters satisfy some restrictions which we study
in detail. They are imposed to obtain a finite ADM gravitational energy, which
depends manifestly on the terms which break the Lorentz symmetry of the
formulation. The analysis we perform is beyond the linearized approach and
includes all high order terms of the Hamiltonian potential.
| [
{
"created": "Mon, 3 May 2021 15:36:31 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Aug 2021 04:20:28 GMT",
"version": "v2"
}
] | 2022-01-05 | [
[
"Mestra-Páez",
"Jarvin",
""
],
[
"Peña",
"Joselen",
""
],
[
"Restuccia",
"Álvaro",
""
]
] | We show that in the anisotropic Ho\v{r}ava-Lifshitz gravity there is a well-defined wave zone where the physical degrees of freedom propagate according to a non-relativistic linear evolution equation of high order in spatial derivatives, which reduces to the wave equation at low energy. This is so, provided the coupling parameters satisfy some restrictions which we study in detail. They are imposed to obtain a finite ADM gravitational energy, which depends manifestly on the terms which break the Lorentz symmetry of the formulation. The analysis we perform is beyond the linearized approach and includes all high order terms of the Hamiltonian potential. |
0801.4203 | Kei-Ichi Kondo | Kei-Ichi Kondo and Akihiro Shibata | Proving Abelian dominance in the Wilson loop operator | 23 pages, no figures | null | null | CHIBA-EP-170, KEK Preprint 2007-73 | hep-th hep-lat hep-ph | null | We give a gauge-independent definition of Abelian dominance in the Wilson
loop operator and a constructive proof of the Abelian dominance through a
non-Abelian Stokes theorem via lattice regularization. We obtain a necessary
and sufficient condition for the Abelian dominance in the Wilson loop operator
in the fundamental representation. In the continuum limit, the gauge field is
decomposed such that the Abelian dominance is given as an exact operator
relation, leading to the exact (100%) Abelian dominance. On a lattice, we
estimate the deviation from the exact Abelian dominance due to non-zero lattice
spacing. In order to obtain the best Abelian dominance on a lattice by
minimizing the deviation, we discuss how to decompose the gauge field variable
into the dominant part and the remaining one to be decoupled on a lattice.
| [
{
"created": "Mon, 28 Jan 2008 08:23:27 GMT",
"version": "v1"
}
] | 2008-01-29 | [
[
"Kondo",
"Kei-Ichi",
""
],
[
"Shibata",
"Akihiro",
""
]
] | We give a gauge-independent definition of Abelian dominance in the Wilson loop operator and a constructive proof of the Abelian dominance through a non-Abelian Stokes theorem via lattice regularization. We obtain a necessary and sufficient condition for the Abelian dominance in the Wilson loop operator in the fundamental representation. In the continuum limit, the gauge field is decomposed such that the Abelian dominance is given as an exact operator relation, leading to the exact (100%) Abelian dominance. On a lattice, we estimate the deviation from the exact Abelian dominance due to non-zero lattice spacing. In order to obtain the best Abelian dominance on a lattice by minimizing the deviation, we discuss how to decompose the gauge field variable into the dominant part and the remaining one to be decoupled on a lattice. |
1905.06217 | Eric D'Hoker | Eric D'Hoker | Integral of two-loop modular graph functions | 19 pages, minor clarifications in revised version | null | null | null | hep-th math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The integral of an arbitrary two-loop modular graph function over the
fundamental domain for $SL(2,Z)$ in the upper half plane is evaluated using
recent results on the Poincar\'e series for these functions.
| [
{
"created": "Wed, 15 May 2019 14:44:03 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Jun 2019 14:27:56 GMT",
"version": "v2"
}
] | 2019-06-13 | [
[
"D'Hoker",
"Eric",
""
]
] | The integral of an arbitrary two-loop modular graph function over the fundamental domain for $SL(2,Z)$ in the upper half plane is evaluated using recent results on the Poincar\'e series for these functions. |
hep-th/0608205 | Atsushi Nakamula | Atsushi Nakamula | The variant of ADHMN construction associated with q-analysis | 13 pages, No figures | J.Math.Phys.48:023505,2007 | 10.1063/1.2436987 | null | hep-th | null | A q-deformation of the ADHMN caloron construction is considered, under which
the anti-selfdual (ASD) conditions of the gauge fields are preserved. It is
shown that the q-dependent Nahm data with certain constraints are crucial to
determine the ASD gauge fields, as in the case of ordinary caloron
construction. As an application of the q-deformed ADHMN construction, we give a
q-deformed caloron of Harrington-Shepard type. Some limits of the parameters
are also considered.
| [
{
"created": "Tue, 29 Aug 2006 11:50:48 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Nakamula",
"Atsushi",
""
]
] | A q-deformation of the ADHMN caloron construction is considered, under which the anti-selfdual (ASD) conditions of the gauge fields are preserved. It is shown that the q-dependent Nahm data with certain constraints are crucial to determine the ASD gauge fields, as in the case of ordinary caloron construction. As an application of the q-deformed ADHMN construction, we give a q-deformed caloron of Harrington-Shepard type. Some limits of the parameters are also considered. |
0902.0412 | Kiyoshi Shiraishi | Nahomi Kan (Yamaguchi Junior College), Koichiro Kobayashi, Teruki
Hanada and Kiyoshi Shiraishi (Yamaguchi University) | Cancellation of long-range forces in Einstein-Maxwell-dilaton system | 4 pages, 2 figures. Prepared for the proceedings of JGRG18
(Hiroshima, Japan, 17--21 November 2008) | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We examine cancellation of long-range forces in Einstein-Maxwell-Dilatonic
system. Several conditions of the equilibrium of two charged masses in general
relativity is found by many authors. These conditions are altered by taking
account of dilatonic field. Under the new condition, we show cancellation of
$1/r^2$ potential using Feynman diagrams.
| [
{
"created": "Tue, 3 Feb 2009 00:43:15 GMT",
"version": "v1"
}
] | 2009-02-05 | [
[
"Kan",
"Nahomi",
"",
"Yamaguchi Junior College"
],
[
"Kobayashi",
"Koichiro",
"",
"Yamaguchi University"
],
[
"Hanada",
"Teruki",
"",
"Yamaguchi University"
],
[
"Shiraishi",
"Kiyoshi",
"",
"Yamaguchi University"
]
] | We examine cancellation of long-range forces in Einstein-Maxwell-Dilatonic system. Several conditions of the equilibrium of two charged masses in general relativity is found by many authors. These conditions are altered by taking account of dilatonic field. Under the new condition, we show cancellation of $1/r^2$ potential using Feynman diagrams. |
0905.4724 | Michael Kalb | Michael Kalb | Mass Generating Antisymmetric Tensor Field Theories | 7 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a set of theories built on a ranked sequence of antisymmetric tensor
fields in D dimensional space-time. These linear theories exhibit gauge
invariances that are analogous to the local gauge invariance of a massless
vector (Maxwell) field. By appropriate arrangements of pairs of sequentially
ranked interacting fields in each member of a series of action functionals, we
produce a sequence of corresponding Higgs mechanism generalizations. Therefore,
mass arises in one field of each pair at the expense of the independent
existence of the other. The length of the sequence is determined by D.
| [
{
"created": "Thu, 28 May 2009 19:59:38 GMT",
"version": "v1"
}
] | 2009-05-29 | [
[
"Kalb",
"Michael",
""
]
] | We study a set of theories built on a ranked sequence of antisymmetric tensor fields in D dimensional space-time. These linear theories exhibit gauge invariances that are analogous to the local gauge invariance of a massless vector (Maxwell) field. By appropriate arrangements of pairs of sequentially ranked interacting fields in each member of a series of action functionals, we produce a sequence of corresponding Higgs mechanism generalizations. Therefore, mass arises in one field of each pair at the expense of the independent existence of the other. The length of the sequence is determined by D. |
0808.2301 | John Dixon | John Dixon | Detailed Calculations of the Mass Spectrum for the Leptons after
Supersymmetry Breaking in the Supersymmetric Standard Model: Cybersusy IV | 55 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This is the fourth of a series of four papers introducing cybersusy, which is
a new approach to supersymmetry breaking in the supersymmetric standard model.
This paper contains a brief summary, and then goes on to the calculation of the
propagators and masses for the leptons, using the cybersusy action deduced in
the three previous papers of this series. The results here are for the general
case of three flavours of leptons.
| [
{
"created": "Sun, 17 Aug 2008 17:02:11 GMT",
"version": "v1"
}
] | 2008-08-19 | [
[
"Dixon",
"John",
""
]
] | This is the fourth of a series of four papers introducing cybersusy, which is a new approach to supersymmetry breaking in the supersymmetric standard model. This paper contains a brief summary, and then goes on to the calculation of the propagators and masses for the leptons, using the cybersusy action deduced in the three previous papers of this series. The results here are for the general case of three flavours of leptons. |
1806.02831 | Jordan Cotler | Jordan Cotler, M. Reza Mohammadi Mozaffar, Ali Mollabashi, Ali Naseh | Renormalization Group Circuits for Weakly Interacting Continuum Field
Theories | 69+14 pages, 2 figures | null | 10.1002/prop.201900038 | null | hep-th cond-mat.str-el quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop techniques to systematically construct local unitaries which map
scale-invariant, product state wavefunctionals to the ground states of weakly
interacting, continuum quantum field theories. More broadly, we devise a
"quantum circuit perturbation theory" to construct local unitaries which map
between any pair of wavefunctionals which are each Gaussian with arbitrary
perturbative corrections. Further, we generalize cMERA to interacting continuum
field theories, which requires reworking the existing formalism which is
tailored to non-interacting examples. Our methods enable the systematic
perturbative calculation of cMERA circuits for weakly interacting theories, and
as a demonstration we compute the 1-loop cMERA circuit for scalar $\varphi^4$
theory and analyze its properties. In this case, we show that Wilsonian
renormalization of the spatial momentum modes is equivalent to a local position
space cMERA circuit. This example provides new insights into the connection
between position space and momentum space renormalization group methods in
quantum field theory. The form of cMERA circuits derived from perturbation
theory suggests useful ansatzes for numerical variational calculations.
| [
{
"created": "Thu, 7 Jun 2018 18:00:00 GMT",
"version": "v1"
}
] | 2019-10-23 | [
[
"Cotler",
"Jordan",
""
],
[
"Mozaffar",
"M. Reza Mohammadi",
""
],
[
"Mollabashi",
"Ali",
""
],
[
"Naseh",
"Ali",
""
]
] | We develop techniques to systematically construct local unitaries which map scale-invariant, product state wavefunctionals to the ground states of weakly interacting, continuum quantum field theories. More broadly, we devise a "quantum circuit perturbation theory" to construct local unitaries which map between any pair of wavefunctionals which are each Gaussian with arbitrary perturbative corrections. Further, we generalize cMERA to interacting continuum field theories, which requires reworking the existing formalism which is tailored to non-interacting examples. Our methods enable the systematic perturbative calculation of cMERA circuits for weakly interacting theories, and as a demonstration we compute the 1-loop cMERA circuit for scalar $\varphi^4$ theory and analyze its properties. In this case, we show that Wilsonian renormalization of the spatial momentum modes is equivalent to a local position space cMERA circuit. This example provides new insights into the connection between position space and momentum space renormalization group methods in quantum field theory. The form of cMERA circuits derived from perturbation theory suggests useful ansatzes for numerical variational calculations. |
1207.4602 | Jerzy Kr\'ol | Torsten Asselmeyer-Maluga, Jerzy Kr\'ol | Towards superconformal and quasi-modular representation of exotic smooth
R^4 from superstring theory I | 16 pages | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that superconformal ${\cal N}=4,2$ algebras are well-suited to
represent some invariant constructions characterizing exotic $\mathbb{R}^4$
relative to a given radial family. We examine the case of ${\cal N}=4,
\hat{c}=4$ (at $r=1$ level) superconformal algebra which is realized on flat
$\mathbb{R}^4$ and curved $S^3\times \mathbb{R}$. While the first realization
corresponds naturally to standard smooth $\mathbb{R}^4$ the second describes
the algebraic end of some small exotic smooth $\mathbb{R}^4$'s from the radial
family of DeMichelis-Freedman and represents the linear dilaton background
$SU(2)_k\times \mathbb{R}_Q$ of superstring theory.
From the modular properties of the characters of the algebras one derives
Witten-Reshetikhin-Turaev and Chern-Simons invariants of homology 3-spheres.
These invariants are represented rather by false, quasi-modular, Ramanujan
mock-type functions. Given the homology 3-spheres one determines exotic smooth
structures of Freedman on $S^3\times \mathbb{R}$. In this way the fake ends are
related to the SCA ${\cal N}=4$ characters.
The case of the ends of small exotic $\mathbb{R}^4$'s is more complicated.
One estimates the complexity of exotic $\mathbb{R}^4$ by the minimal complexity
of some separating from the infinity 3-dimensional submanifold. These
separating manifolds can be chosen, in some exotic $\mathbb{R}^4$'s, to be
homology 3-spheres. The invariants of such homology 3-spheres are, again,
obtained from the characters of SCA, ${\cal N}=4$.
Next we take into account the modification of the algebra of modular forms
due to the noncommutativity of the codimension-one foliations of the homology
3-spheres. Then, the modification of modular forms is represented by the
Connes-Moscovici construction ...
| [
{
"created": "Thu, 19 Jul 2012 10:17:15 GMT",
"version": "v1"
}
] | 2012-07-20 | [
[
"Asselmeyer-Maluga",
"Torsten",
""
],
[
"Król",
"Jerzy",
""
]
] | We show that superconformal ${\cal N}=4,2$ algebras are well-suited to represent some invariant constructions characterizing exotic $\mathbb{R}^4$ relative to a given radial family. We examine the case of ${\cal N}=4, \hat{c}=4$ (at $r=1$ level) superconformal algebra which is realized on flat $\mathbb{R}^4$ and curved $S^3\times \mathbb{R}$. While the first realization corresponds naturally to standard smooth $\mathbb{R}^4$ the second describes the algebraic end of some small exotic smooth $\mathbb{R}^4$'s from the radial family of DeMichelis-Freedman and represents the linear dilaton background $SU(2)_k\times \mathbb{R}_Q$ of superstring theory. From the modular properties of the characters of the algebras one derives Witten-Reshetikhin-Turaev and Chern-Simons invariants of homology 3-spheres. These invariants are represented rather by false, quasi-modular, Ramanujan mock-type functions. Given the homology 3-spheres one determines exotic smooth structures of Freedman on $S^3\times \mathbb{R}$. In this way the fake ends are related to the SCA ${\cal N}=4$ characters. The case of the ends of small exotic $\mathbb{R}^4$'s is more complicated. One estimates the complexity of exotic $\mathbb{R}^4$ by the minimal complexity of some separating from the infinity 3-dimensional submanifold. These separating manifolds can be chosen, in some exotic $\mathbb{R}^4$'s, to be homology 3-spheres. The invariants of such homology 3-spheres are, again, obtained from the characters of SCA, ${\cal N}=4$. Next we take into account the modification of the algebra of modular forms due to the noncommutativity of the codimension-one foliations of the homology 3-spheres. Then, the modification of modular forms is represented by the Connes-Moscovici construction ... |
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