On Duality Rotations in Light-Like Noncommutative Electromagnetism

Abstract

We study electric-magnetic duality rotations for noncommutative electromagnetism (NCEM). We express NCEM as a nonlinear commutative U(1) gauge theory and show that it is self-dual when the noncommutativity parameter θ is light-like (e.g. θ0i=θ1i). This implies, in the slowly varying field approximation, self-duality of NCEM to all orders in θ.

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