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

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 $\theta$.

arXiv commentTalk presented at International Conference on Renormalization Group and Anomalies in Gravity and Cosmology (IRGA 2003), Ouro Preto, MG, Brazil, 17-23 Mar 2003, submitted for publication in March/18/2003. New title and new arguments, accepted for publlication on PRD

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• Noncommutative Maxwell-Chern-Simons theory in three dimensions and its dual
• On duality of the noncommutative extension of the Maxwell-Chern-Simons model
• Ghost free dual vector theories in 2+1 dimensions
• On the duality of three-dimensional superfield theories
• On the duality in four-dimensional Lorentz-breaking field theories
• On duality of the noncommutative Maxwell-Chern-Simons theory
• Higher derivative Chern-Simons extension in the noncommutative QED${}_3$
• On the duality in CPT-even Lorentz-breaking theories
• Aspects of Noncommutative Scalar/Tensor Duality
• Quantum equivalence between the self-dual and the Maxwell-Chern-Simons models nonlinearly coupled to U(1) scalar fields
• On The Complete Seiberg-Witten Map For Theories With Topological Terms
• The self-dual Lorentz violating model: quantization, scattering and dual equivalence
• Higher-derivative $\mathcal{N}=1$ and $\mathcal{N}=2$ supersymmetric Maxwell-Chern-Simons theories at one loop in superspace
• Electromagnetic Dualities on Noncommutative Space-Time and Symplectic Formalisms
• Bose-Fermi Equivalence in Three Dimensional Non-commutative Space-Time