On The Complete Seiberg-Witten Map For Theories With Topological Terms

Abstract

The SW map problem is formulated and solved in the BRST cohomological approach. The well known ambiguities of the SW map are shown to be associated to distinct cohomological classes. This analysis is applied to the noncommutative Chern-Simons action resulting in the emergence of $\theta$-dependent terms in the commutative action which come from the nontrivial ambiguities. It is also shown how a specific cohomological class can be choosen in order to map the noncommutative Maxwell-Chern-Simons theory into the commutative one.

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References in corpus (6)

• Noncommutative Maxwell-Chern-Simons theory in three dimensions and its dual
• On duality of the noncommutative extension of the Maxwell-Chern-Simons model
• Noncommutative Two Dimensional BF Model
• Instabilities of noncommutative two dimensional BF model
• A new picture on (3+1)D topological mass mechanism
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Cited by in corpus (5)

• Noncommutative Chern-Simons gauge and gravity theories and their geometric Seiberg-Witten map
• On the Renormalizability of Noncommutative U(1) Gauge Theory - an Algebraic Approach
• Noncommutative gauge and gravity theories and geometric Seiberg-Witten map
• Seiberg-Witten map for the 4D noncommutative BF theory
• Fermion liquids as quantum Hall liquids in phase space: A unified approach for anomalies and responses