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Issues of duality on non-commutative manifolds: the {\it non-equivalence} between self-dual and topologically massive models

T. Mariz·R. Menezes·J. R. S. Nascimento·R. F. Ribeiro·C. Wotzasek
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Abstract

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 Maxwell-Chern-Simons model (MCS-SD) is investigate. We show that former model {\it is not} dual equivalent the non-commutative extension of the Maxwell-Chern-Simons model, as widely believed, but a to deformed version of it that is disclosed here. Our results are not restrict to any finite order in the Seiberg-Witten expansion involving the non-commutative parameter $θ$.

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T. Mariz, R. Menezes, J. R. S. Nascimento, R. F. Ribeiro, C. Wotzasek. 2004-10-13. Issues of duality on non-commutative manifolds: the {\it non-equivalence} between self-dual and topologically massive models. https://doi.org/10.1103/physrevd.70.085018

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