Noncommutative Maxwell-Chern-Simons theory, duality and a new noncommutative Chern-Simons theory in d=3

Abstract

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 action is derived. For spatial noncommutativity it is studied up to second order in the noncommutativity parameter θ. A new noncommutative Chern-Simons action is defined in terms of ordinary fields, inspired by the dual action. Moreover, a transformation between noncommuting and ordinary fields is proposed.

7 pages. Some comments, new eqs. and references added. The version to be published in Phys. Lett. B

References in corpus (2)

• Gauge Invariance and Duality in the Noncommutative Plane
• Duality between Noncommutative Yang-Mills-Chern-Simons and Non-Abelian Self-Dual Models

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