Duality between Noncommutative Yang-Mills-Chern-Simons and Non-Abelian Self-Dual Models

Abstract

By introducing an appropriate parent action and considering a perturbative approach, we establish, up to fourth order terms in the field and for the full range of the coupling constant, the equivalence between the noncommutative Yang-Mills-Chern-Simons theory and the noncommutative, non-Abelian Self-Dual model. In doing this, we consider two different approaches by using both the Moyal star-product and the Seiberg-Witten map.

6 pages, LaTeX. v2 minor changes. v3 substantial additions, including a new section discussing the Seiberg-Witten map. v4 references and comments added. Final version to be published in Phys. Lett. B

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