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The advent of general relativity settled it once and for all that a theory of spacetime is inextricably linked to the theory of gravity. From the point of view of the gauge principle of Weyl and Yang-Mills-Utiyama, it became manifest around…

General Relativity and Quantum Cosmology · Physics 2014-05-06 Friedrich W. Hehl

We plan to translate the successful description of three-dimensional gravity as a gauge theory in the noncommutative framework, making use of the covariant coordinates. We consider two specific three-dimensional fuzzy spaces based on SU(2)…

General Relativity and Quantum Cosmology · Physics 2018-09-12 D. Jurman , G. Manolakos , P. Manousselis , G. Zoupanos

We construct a duality between several simple physical systems by showing that they are different aspects of the same quantum theory. Examples include the free relativistic massless particle and the hydrogen atom in any number of…

High Energy Physics - Theory · Physics 2016-08-25 I. Bars , C. Deliduman , O. Andreev

The Wess-Zumino-Witten (WZW) theory has a global symmetry denoted by $G_L\otimes G_R$. In the standard gauged WZW theory, vector gauge fields (\ie\ with vector gauge couplings) are in the adjoint representation of the subgroup $H \subset…

High Energy Physics - Theory · Physics 2010-01-08 Stephen-wei Chung , S. -H. Henry Tye

We consider the gauging of $ SL(2,R) $ WZNW model by its nilpotent subgroup E(1). The resulting space-time of the corresponding sigma model is seen to collapse to a one dimensional field theory of Liouville. Gauging the diagonal subgroup $…

High Energy Physics - Theory · Physics 2009-10-22 M. Alimohammadi , F. Ardalan , H. Arfaei

In this paper two things are done. First it is shown how a four dimensional gauged Wess-Zumino-Witten term arises from the five dimensional Einstein-Hilbert plus Gauss-Bonnet lagrangian with a special choice of the coefficients. Second, the…

High Energy Physics - Theory · Physics 2008-11-26 Andres Anabalon , Steven Willison , Jorge Zanelli

Pure gauge theories for de Sitter, anti de Sitter and orthogonal groups, in four-dimensional Euclidean spacetime, are studied. It is shown that, if the theory is asymptotically free and a dynamical mass is generated, then an effective…

High Energy Physics - Theory · Physics 2012-12-13 R. F. Sobreiro , A. A. Tomaz , V. J. Vasquez Otoya

A gauge-invariant mass term for nonabelian gauge fields in two dimensions can be expressed as the Wess-Zumino-Witten (WZW) action. Hard thermal loops in the gauge theory in four dimensions at finite temperatures generate a screening mass…

High Energy Physics - Theory · Physics 2019-10-15 V. P. Nair

Deformations of gauged WZW actions are constructed for any pair $(G,H)$ by taking different embeddings of the gauge group $H\subset G$ as it acts on the left and right of the group element $g$. This leads to models that are dual to each…

High Energy Physics - Theory · Physics 2009-10-22 I. Bars , K. Sfetsos

In this note, we construct a Wess-Zumino-Witten model based on the Galilean conformal algebra in 2-spacetime dimensions, which is a nonrelativistic analogue of the relativistic conformal algebra. We obtain exact background corresponding to…

High Energy Physics - Theory · Physics 2015-06-11 Somdeb Chakraborty , Parijat Dey

The SL(2,R)/U(1) gauged Wess-Zumino-Witten model is an exact conformal field theory describing a black hole in two-dimensional space-time. The free field approach of Bershadsky and Kutasov is a suitable formulation of this CFT in order to…

High Energy Physics - Theory · Physics 2016-09-06 Katrin Becker

First, we describe the construction of a new type of gravity-matter models based on the formalism of non-Riemannian space-time volume forms - alternative generally covariant integration measure densities (volume elements) defined in terms…

General Relativity and Quantum Cosmology · Physics 2017-12-29 Eduardo Guendelman , Emil Nissimov , Svetlana Pacheva

We summarize some results obtained on the problem of gauging the Wess--Zumino term of a d-dimensional bosonic sigma-model. We show that gauged WZ-like terms are in one-to-one correspondence with equivariant cocycles of the target space. By…

High Energy Physics - Theory · Physics 2009-10-28 J M Figueroa-O'Farrill , S Stanciu

We compute the group element of SO(2,2) associated with the spinning black hole found by Ba\~nados, Teitelboim and Zanelli in (2+1)-dimensional anti-de Sitter space-time. We show that their metric is built with SO(2,2) gauge invariant…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Daniel Cangemi , Martin Leblanc , Robert B. Mann

In its formulation as a Chern-Simons theory, three-dimensional general relativity induces a Wess-Zumino-Witten action on spatial boundaries. Treating the horizon of the three-dimensional Euclidean black hole as a boundary, I count the…

General Relativity and Quantum Cosmology · Physics 2010-04-28 Steven Carlip

A new gauge theory of gravity is presented. The theory is constructed in a flat background spacetime and employs gauge fields to ensure that all relations between physical quantities are independent of the positions and orientations of the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Anthony Lasenby , Chris Doran , Stephen Gull

We consider gauged Wess-Zumino models based on the non compact group $SU(2,1)$. It is shown that by vector gauging the maximal compact subgroup $U(2)$ the resulting backgrounds obey the gravity-dilaton one loop string vacuum equations of…

High Energy Physics - Theory · Physics 2009-10-28 Adriá n R. Lugo

In Poincar\'e gauge theory of gravity and in $\overline{\mbox{Poincar\'e}}$ gauge theory of gravity, we give the necessary and sufficient condition in order that the Schwarzschild space-time expressed in terms of the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Toshiharu Kawai , Eisaku Sakane , Takashi Tojo

In the framework of Einstein-Yang-Mills theories, we study the gauge Lorentz group and establish a particular correspondence between this case and a certain class of theories with torsion within Riemann-Cartan space-times. This relation is…

General Relativity and Quantum Cosmology · Physics 2018-03-07 Jose A. R. Cembranos , Jorge Gigante Valcarcel

Starting from a WZWN action in the ISO(2,1) Poincare' group which describes a bosonized spinning string in 2+1 Minkowski space-time, we show that a sequence of non-trivial compactifications leads to the description of a spinless string…

High Energy Physics - Theory · Physics 2009-10-31 R. Casadio , B. Harms