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The physical meaning, the properties and the consequences of a discrete scalar field are discussed; limits for the validity of a mathematical description of fundamental physics in terms of continuous fields are a natural outcome of discrete…

High Energy Physics - Theory · Physics 2007-05-23 Manoelito M. de Souza

Generic $U(1)^2$ 4-d black holes with unbroken $N=1$ supersymmetry are shown to tend to a Robinson-Bertotti type geometry with a linear dilaton and doubling of unbroken supersymmetries near the horizon. Purely magnetic dilatonic black…

High Energy Physics - Theory · Physics 2010-01-06 Renata Kallosh , Amanda Peet

We explore the connection of anti-de-Sitter supergravity in six dimensions, based on the exceptional F(4) superalgebra, and its boundary superconformal singleton theory. The interpretation of these results in terms of a D4-D8 system and its…

High Energy Physics - Theory · Physics 2009-10-31 S. Ferrara , A. Kehagias , H. Partouche , A. Zaffaroni

A generalization of the Dirac field equation in three-dimensional Minkowski space-time to the case of the $\bar{SL}(3,R)$ $\subset$ $\bar{SA}(3,R)$ symmetry is considered. Constraints that ensure a correct physical interpretation of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 I. Miskovic , Dj. Sijacki

We explicitly construct fractals of dimension 4-epsilon on which dimensional regularization approximates scalar-field-only quantum-field-theory amplitudes. The construction does not require fractals to be Lorentz-invariant in any sense, and…

General Physics · Physics 2017-06-21 Jonathan F. Schonfeld

Carrollian holography is a framework for flat space holography, suggesting that gravity in asymptotically flat spacetime in $D$ dimensions is dual to a conformal Carrollian field theory in $D - 1$ dimensions living at null infinity. In this…

High Energy Physics - Theory · Physics 2025-08-12 Harshal Kulkarni , Romain Ruzziconi , Akshay Yelleshpur Srikant

The sine-Gordon (SG), i.e. periodic scalar field theory is known to play an important role in $d=2$ dimensions. A paradigmatic example is the topological phase transition of the vortex dynamics in superfluid films and layered…

High Energy Physics - Theory · Physics 2022-02-02 I. Nandori

A variation of Dirac equation based on SO(2,1) group is suggested for treating low dimensional systems in the three dimensional x,y,t space. Non-unitary representations are developed in an analogous way to those used in the ordinary Dirac…

Mathematical Physics · Physics 2013-06-04 Y. Ben-Aryeh

We investigate dilaton stabilization in a higher-dimensional theory. The background geometry is based on an eleven-dimensional Kaluza-Klein/supergravity model, which is assumed to be a product of four-dimensional de Sitter (dS_4) spacetime…

High Energy Physics - Theory · Physics 2009-11-10 Kunihito Uzawa

Dimensional reduction of generalized gravity theories or string theories generically yields dilaton fields in the lower-dimensional effective theory. Thus at the level of D=4 theories, and cosmology many models contain more than just one…

General Relativity and Quantum Cosmology · Physics 2009-10-31 D. Grumiller , D. Hofmann , W. Kummer

Dirac-like monopoles are studied in three-dimensional Abelian Maxwell and Maxwell-Chern-Simons models. Their scalar nature is highlighted and discussed through a dimensional reduction of four-dimensional electrodynamics with electric and…

High Energy Physics - Theory · Physics 2009-11-07 E. M. C. Abreu , J. A. Helayel-Neto , M. Hott , W. A. Moura-Melo

We study the local behaviour of static solutions of a general 1+1 dimensional dilaton gravity theory coupled to scalar fields and Abelian gauge fields near horizons. This type of model includes in particular reductions of higher dimensional…

General Relativity and Quantum Cosmology · Physics 2009-11-07 A. T. Filippov , D. Maison

We construct field theories in $2+1$ dimensions with multiple conformal symmetries acting on only one of the spatial directions. These can be considered a conformal extension to "subsystem scale invariances", borrowing the language often…

High Energy Physics - Theory · Physics 2021-05-05 Andreas Karch , Amir Raz

The Dirac equation may be thought as originating from a theory of five-dimensional (5D) space-time. We define a special 5D Clifford algebra and introduce a spin-1/2 constraint equation to describe null propagation in a 5D space-time…

High Energy Physics - Theory · Physics 2020-07-22 Romulus Breban

Gravitation and the standard model of particle physics are incorporated within a single conformal scalar-tensor theory, where the scalar field is complex. The Higgs field has a dynamical expectation value, as has the Planck mass, but the…

General Relativity and Quantum Cosmology · Physics 2017-03-24 Meir Shimon

We study neutral Dirac particles confined to a family of $(1+2)$-dimensional wormholes arising from surfaces of revolution with a constant negative Gaussian curvature, in the framework of a comprehensive effective field theory allowing…

Mathematical Physics · Physics 2023-11-16 Soroush Zare , Marc de Montigny , Hao Chen , Hassan Hassanabadi

We present a simple gedanken experiment in which a compact object traverses a spacetime with three macroscopic spatial dimensions and $n$ compact dimensions. The compactification radius is allowed to vary, as a function of the object's…

General Relativity and Quantum Cosmology · Physics 2023-05-08 Matthew J. Lake , Shi-Dong Liang , Anucha Watcharapasorn

Exact static, spherically symmetric solutions to the Einstein-Abelian gauge-dilaton equations, in $D$-dimensional gravity with a chain of $n$ Ricci-flat internal spaces are considered, with the gauge field potential having three nonzero…

General Relativity and Quantum Cosmology · Physics 2008-02-03 K. A. Bronnikov

We consider a Dirac field on a $(1 + 2)$-dimensional uncharged BTZ black hole background. We first find out the Dirac Hamiltonian, and study its self-adjointness properties. We find that, in analogy to the Kerr-Newman-AdS Dirac Hamiltonian…

Mathematical Physics · Physics 2010-12-17 Francesco Belgiorno , Sergio L Cacciatori , Francesco Dalla Piazza , Oliver F Piattella

It is argued that the existence of constant dilaton field solutions is a generic feature of string-inspired dilaton gravity. Such solutins arise in the extreme limit of black hole metrics. It is shown that in a strong coupling region…

High Energy Physics - Theory · Physics 2009-10-31 O. B. Zaslavskii
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