Duality in Noncommutative Maxwell-Chern-Simons Theory

TL;DR

This paper derives the dual of noncommutative Maxwell-Chern-Simons theory using a master action approach, revealing that the known equivalence with the self-dual model does not hold in noncommutative space, and discusses ambiguities in the Seiberg-Witten map.

Contribution

It introduces a method to obtain the dual of noncommutative Maxwell-Chern-Simons theory and highlights the breakdown of known dualities in the noncommutative setting.

Findings

Dual of noncommutative Maxwell-Chern-Simons theory obtained

Equivalence with self-dual model does not hold in noncommutative space

Identifies ambiguity in the Seiberg-Witten map

Abstract

Applying a master action technique we obtain the dual of the noncommutative Maxwell-Chern-Simons theory. The equivalence between the Maxwell-Chern-Simons theory and the self-dual model in commutative space-time does not survive in the non-commutative setting. We also point out an ambiguity in the Seiberg-Witten map.