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We consider the Maxwell-Chern-Simons theory in noncommutative three dimensional space-time. We show that the Seiberg-Witten map is ambiguous due to the dimensional coupling constant. To get the dual theory we start from a master action…

High Energy Physics - Theory · Physics 2009-11-11 E. Harikumar , Victor O. Rivelles

We use Moeller's energy-momentum complex in order to explicitly evaluate the energy and momentum density distributions associated with the three-dimensional magnetic solution to the Einstein-Maxwell equations. The magnetic spacetime under…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Th. Grammenos

Modern physics is largely devoted to study conservation laws, such as charge, energy, linear momentum or angular momentum, because they give us information about the symmetries of our universe. Here, we propose to add the relationship…

The symmetry studies of Maxwell equations gave new insight on the nature of electromagnetic (EM) field. It has in general case quaternion single structure, consisting of four independent field constituents, which differ with each other by…

Quantum Physics · Physics 2011-09-21 Dmitri Yerchuck , Alla Dovlatova , Andrey Alexandrov

We consider electric-magnetic duality(S-duality) in IIB matrix model with a D3-brane background. We propose the duality transformation by considering that of noncommutative Yang-Mills theory(NCYM) in four dimension. NCYM derived from the…

High Energy Physics - Theory · Physics 2007-05-23 Hiroyuki Takata

We review the general theory of duality rotations which, in four dimensions, exchange electric with magnetic fields. Necessary and sufficient conditions in order for a theory to have duality symmetry are established. A nontrivial example is…

High Energy Physics - Theory · Physics 2014-11-18 Paolo Aschieri , Sergio Ferrara , Bruno Zumino

We discuss the construction of Maxwellian electrodynamics in 2+1 dimensions and some of its applications. Special emphasis is given to the problem of the retarded potentials and radiation, where substantial differences with respect to the…

Classical Physics · Physics 2021-05-19 D. Boito , L. N. S. de Andrade , G. de Sousa , R. Gama , C. Y. M. London

Applying a master action technique we obtain the dual of the noncommutative Maxwell-Chern-Simons theory. The equivalence between the Maxwell-Chern-Simons theory and the self-dual model in commutative space-time does not survive in the…

High Energy Physics - Theory · Physics 2009-09-29 Victor O. Rivelles

I review electric-magnetic duality from the perspective of extended supergravity theories in four spacetime dimensions

High Energy Physics - Theory · Physics 2009-11-07 Bernard de Wit

We study nonminimal extensions of Einstein-Maxwell theory with exact electromagnetic duality invariance. Any such theory involves an infinite tower of higher-derivative terms whose computation and summation usually represents a challenging…

High Energy Physics - Theory · Physics 2021-11-17 Pablo A. Cano , Ángel Murcia

We show how classical and quantum dualities, as well as duality relations that appear only in a sector of certain theories ("emergent dualities"), can be unveiled, and systematically established. Our method relies on the use of morphisms of…

Statistical Mechanics · Physics 2013-01-16 E. Cobanera , G. Ortiz , Z. Nussinov

Starting with the 2+1 Einstein--Maxwell--Dilaton system with a cosmological constant and assuming two commuting Killing symmetries we derive the corresponding $1+0 \sigma$--model. It is shown that, for general values of the coupling…

High Energy Physics - Theory · Physics 2009-10-31 Chiang-Mei Chen

We review the status of electric/magnetic duality for free gauge field theories in four space-time dimensions with emphasis on Maxwell theory and linearized Einstein gravity. Using the theory of vector and tensor spherical harmonics, we…

High Energy Physics - Theory · Physics 2009-10-15 Ioannis Bakas

We construct stationary solutions to the Einstein-Maxwell-current system by using the Sasakian manifold for the three-dimensional space. Both the magnetic field and the electric current in the solution are specified by the contact form of…

General Relativity and Quantum Cosmology · Physics 2020-12-07 Hideki Ishihara , Satsuki Matsuno

In this work a static solution of Einstein-Cartan (EC) equations in 2+1 dimensional space-time is given by considering classical spin-1/2 field as external source for torsion of the space-time. Here, the torsion tensor is obtained from…

General Relativity and Quantum Cosmology · Physics 2008-07-29 M. Hortacsu , H. T. Ozcelik , N. Ozdemir

Duality groups of Abelian gauge theories on four manifolds and their reduction to two dimensions are considered. The duality groups include elements that relate different space-times in addition to relating different gauge-coupling…

High Energy Physics - Theory · Physics 2009-10-30 A. Giveon , M. Porrati

This is a general introduction to electric-magnetic duality in non-abelian gauge theories. In chapter I, I review the general ideas which led in the late 70s to the idea of electric/magnetic duality in quantum field theory. In chapters II…

High Energy Physics - Theory · Physics 2008-02-03 Frank Ferrari

We present a general solution of the coupled Einstein-Maxwell field equations (without the source charges and currents) in three spacetime dimensions. We also admit any value of the cosmological constant. The whole family of such…

General Relativity and Quantum Cosmology · Physics 2022-08-23 Jiri Podolsky , Matus Papajcik

Within the superfield approach, we consider the duality between the supersymmetric Maxwell-Chern-Simons and self-dual theories in three spacetime dimensions. Using a gauge embedding method, we construct the dual theory to the self-dual…

High Energy Physics - Theory · Physics 2008-11-26 A. F. Ferrari , M. Gomes , J. R. S. Nascimento , A. Yu. Petrov , A. J. da Silva

The (2+1) dimensional non-linear electrodynamics, the so called Pagels--Tomboulis electrodynamics, with the Chern--Simons term is considered. We obtain "generalized self--dual equation" and find the corresponding generalized massive…

High Energy Physics - Theory · Physics 2007-05-23 M. Slusarczyk , A. Wereszczynski
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