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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

We study issues of duality in 3D field theory models over a canonical noncommutative spacetime and obtain the noncommutative extension of the Self-Dual model induced by the Seiberg-Witten map. We apply the dual projection technique to…

High Energy Physics - Theory · Physics 2009-11-10 M. S. Guimarães , J. L. Noronha , D. C. Rodrigues , C. Wotzasek

We introduce a master action in noncommutative space, out of which we obtain the action of the noncommutative Maxwell-Chern-Simons theory. Then, we look for the corresponding dual theory at both first and second orders in the noncommutative…

High Energy Physics - Theory · Physics 2009-11-10 M. Botta Cantcheff , Pablo Minces

We consider a general class of non-local MCS models whose usual minimal coupling to a conserved current is supplemented with a (non-minimal) magnetic Pauli-type coupling. We find that the considered models exhibit a self-duality whenever…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 F. Chandelier , Y. Georgelin , T. Masson , J. -C. Wallet

We consider the AdS/CFT correspondence for theories with a Chern-Simons term in three dimensions. We find the two-point functions of the boundary conformal field theories for the Proca-Chern-Simons theory and the Self-Dual model. We also…

High Energy Physics - Theory · Physics 2008-11-26 Pablo Minces , Victor O. Rivelles

There exists a well-known duality between the Maxwell-Chern-Simons theory and the self-dual massive model in 2+1 dimensions. This dual description has been extended to topologically massive gauge theories (TMGT) in any dimension. This…

High Energy Physics - Theory · Physics 2008-11-26 Bruno Bertrand , Jan Govaerts

Noncommutative Maxwell-Chern-Simons theory in 3-dimensions is defined in terms of star product and noncommutative fields. Seiberg-Witten map is employed to write it in terms of ordinary fields. A parent action is introduced and the dual…

High Energy Physics - Theory · Physics 2010-04-05 O. F. Dayi

We apply the noncommutative fields method for gauge theory in three dimensions where the Chern-Simons term is generated in the three-dimensional electrodynamics. Under the same procedure, the Chern-Simons term is shown to be cancelled in…

High Energy Physics - Theory · Physics 2008-11-26 J. R. Nascimento , A. Yu. Petrov , R. F. Ribeiro

We show that the duality between the self-dual and Maxwell-Chern-Simons theories in 2+1-dimensions survives when the space-time becomes noncommutative. Existence of the Seiberg-Witten map is crucial in the present analysis. It should be…

High Energy Physics - Theory · Physics 2009-11-07 Subir Ghosh

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

We consider self-duality in a 2+1 dimensional gauge theory containing both the Born-Infeld and the Chern-Simons terms. We introduce a Born-Infeld inspired generalization of the Proca term and show that the corresponding self dual equation…

High Energy Physics - Theory · Physics 2009-10-31 Prasanta K. Tripathy , Avinash Khare

We investigate the $\mathcal{N} = 2$ supersymmetric generalization of the dual equivalence between the Maxwell-Chern-Simons model and two massive self-dual models. One of the self-dual models is described by a real scalar superfield, while…

High Energy Physics - Theory · Physics 2025-07-16 F. S. Gama , J. R. Nascimento , A. Yu. Petrov , P. J. Porfirio

We discuss the notion of duality and selfduality in the context of the dual projection operation that creates an internal space of potentials. Contrary to the prevailing algebraic or group theoretical methods, this technique is applicable…

High Energy Physics - Theory · Physics 2009-10-31 Rabin Banerjee , Clovis Wotzasek

We study issues of duality and dual equivalence in non-commutative manifolds. In particular the question of dual equivalence for the actions of the non-commutative extensions of the self-dual model (NC-SD) in 3D space-time and the…

High Energy Physics - Theory · Physics 2009-11-10 T. Mariz , R. Menezes , J. R. S. Nascimento , R. F. Ribeiro , C. Wotzasek

In this paper, we generalize the duality between self-dual and Maxwell-Chern-Simons theories for the case of a CPT-even Lorentz-breaking extension of these theories. The duality is demonstrated with use of the gauge embedding procedure,…

High Energy Physics - Theory · Physics 2015-07-08 A. P. Baeta Scarpelli , J. R. Nascimento , A. Yu. Petrov , R. F. Ribeiro

We consider an arbitrary U(1) charged matter non-minimally coupled to the self-dual field in $d=2+1$. The coupling includes a linear and a rather general quadratic term in the self-dual field. By using both a Lagragian gauge embedding and a…

High Energy Physics - Theory · Physics 2008-11-26 D. Dalmazi

The solutions of the Einstein-Maxwell-Chern-Simons theory are studied in (1+2) dimensions with the self-duality condition imposed on the Maxwell field. We give a closed form of the general solution which is determined by a single function…

General Relativity and Quantum Cosmology · Physics 2014-11-17 T. Dereli , Yu. N. Obukhov

With two typical parent actions we have two kinds of dual worlds: i) one of which contains an electric as well as magnetic current, and ii) the other contains (generalized) Chern-Simons terms. All these fields are defined on a curved…

High Energy Physics - Theory · Physics 2009-11-07 Hisashi Echigoya , Tadashi Miyazaki , Tomohiko Shibuya

In this paper, we use gauge embedding procedure and master action approach to establish the equivalence between the self-dual and Maxwell-Chern-Simons models with Lorentz symmetry breaking. As a result, new kinds of Lorentz-breaking terms…

High Energy Physics - Theory · Physics 2008-12-18 M. A. Anacleto , C. Furtado , J. R. Nascimento , A. Yu. Petrov

We quantize the (2+1)-dimensional self-dual and Maxwell-Chern-Simons theories by using the Faddeev-Jackiw formulation and compare the results with those of the Dirac formalism.

High Energy Physics - Theory · Physics 2008-11-26 Honglo Lee , Yong-Wan Kim , Young-Jai Park
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