On Duality Rotations in Light-Like Noncommutative Electromagnetism

TL;DR

This paper demonstrates that noncommutative electromagnetism exhibits self-duality under electric-magnetic duality rotations when the noncommutativity parameter is light-like, extending to all orders in the slowly varying field approximation.

Contribution

It shows that NCEM is self-dual for light-like noncommutativity parameters, revealing a new symmetry property in noncommutative gauge theories.

Findings

NCEM is self-dual when heta is light-like.

Self-duality holds to all orders in heta in the slowly varying field approximation.

Expresses NCEM as a nonlinear commutative U(1) gauge theory.

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 \theta is light-like (e.g. \theta^{0i}=\theta^{1i}). This implies, in the slowly varying field approximation, self-duality of NCEM to all orders in \theta.