On duality of the noncommutative Maxwell-Chern-Simons theory

Abstract

We study the possibility of establishing the dual equivalence between the noncommutative Maxwell-Chern-Simons theory and the noncommutative self-dual theory. It turns to be that whereas in the commutative case the Maxwell-Chern-Simons theory can be mapped into the sum of the self-dual theory and the Chern-Simons theory, in the noncommutative case such a mapping is possible only for the theory with the modified Maxwell term.

8 pages, reference added

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Cited by in corpus (6)

• On the duality in four-dimensional Lorentz-breaking field theories
• Equivalence between supersymmetric self-dual and Maxwell-Chern-Simons models coupled to a matter spinor superfield
• On the duality in CPT-even Lorentz-breaking theories
• Dual equivalence between self-dual and topologically massive $B\wedge F$ models coupled to matter in $3+1$ dimensions
• Dualization between supersymmetric self-dual and topologically massive models coupled to matter in four-dimensional superspace
• Dynamical generation of mass in the noncommutative supersymmetric Schwinger model