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We study the duality of the supersymmetric self-dual and Maxwell-Chern-Simons theories coupled to a fermionic matter superfield, using a master action. This approach evades the difficulties inherent to the quartic couplings that appear when…

High Energy Physics - Theory · Physics 2014-11-18 A. F. Ferrari , M. Gomes , A. C. Lehum , J. R. Nascimento , A. Yu. Petrov , A. J. da Silva

This work aims to investigate the classical-level duality between the $SIM(1)$-Maxwell-Chern-Simons (MCS) model and its self-dual counterpart. Initially, our focus is on free-field cases to establish equivalence through two distinct…

High Energy Physics - Theory · Physics 2023-12-04 Fernando M. Belchior , Roberto V. Maluf

We study the equivalence between the self-dual and the Maxwell-Chern-Simons (MCS) models coupled to dynamical, U(1) charged matter, both fermionic and bosonic. This is done through an iterative procedure of gauge embedding that produces the…

High Energy Physics - Theory · Physics 2009-11-07 M. A. Anacleto , A. Ilha , J. R. S. Nascimento , R. F. Ribeiro , C. Wotzasek

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 the exact equivalence between the self-dual model minimally coupled with a Dirac field and the Maxwell-Chern-Simons model with non-minimal magnetic coupling to fermions. We show that the fermion sectors of the models are equivalent…

High Energy Physics - Theory · Physics 2009-10-30 M. Gomes , L. C. Malacarne , A. J. da Silva

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

The possibility of dual equivalence between the self-dual and the Maxwell-Chern-Simons (MCS) models when the latter is coupled to dynamical, U(1) fermionic charged matter is examined. The proper coupling in the self-dual model is then…

High Energy Physics - Theory · Physics 2009-11-11 M. S. Guimarães , T. Mariz , R. Menezes , 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 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

In this report we study the dual equivalence between the generalized self-dual (SD) and topologically massive (TM) models. To this end we linearize the model using an auxiliary field and apply a gauge embedding procedure to construct a…

High Energy Physics - Theory · Physics 2009-11-07 Anderson Ilha , Clovis Wotzasek

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 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

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 study the possibility of establishing the dual equivalence between the noncommutative Maxwell-Chern-Simons theory and the noncommutative self-dual theory. It turns to be that whereas in the commutative case the Maxwell-Chern-Simons…

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

We study the connection between the Green functions of the Maxwell-Chern-Simons theory and a self-dual model by starting from the phase-space path integral representation of the Deser-Jackiw master Lagrangian. Their equivalence is…

High Energy Physics - Theory · Physics 2009-10-28 R. Banerjee , H. J. Rothe , K. D. Rothe

The use of master actions to prove duality at quantum level becomes cumbersome if one of the dual fields interacts nonlinearly with other fields. This is the case of the theory considered here consisting of U(1) scalar fields coupled to a…

High Energy Physics - Theory · Physics 2009-11-11 D. Dalmazi , Elias L. Mendonca

In this work we apply different duality techniques, both the dual projection, based on the soldering formalism and the master action, in order to obtain and study the dual description of the Carroll-Field-Jackiw model \cite{cfj}, a theory…

High Energy Physics - Theory · Physics 2007-05-23 M. S. Guimarães , L. Grigorio , C. Wotzasek

We give a general class of exact solutions to the (1+2)-dimensional topologically massive gravity model coupled with Maxwell-Chern-Simons theory where a "self-duality" condition is imposed on the Maxwell field.

General Relativity and Quantum Cosmology · Physics 2009-10-31 T. Dereli , O. Sarioglu

We formulate a `master' partition function in three-dimensional $\mathcal{N}=2$ superspace that realises, upon integrating out complementary superfields, both the electric Maxwell--Chern--Simons (MCS) theory and its magnetic $S$-dual: a…

High Energy Physics - Theory · Physics 2025-12-15 Adi Armoni , Ricardo Stuardo , Mark Thomas

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
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