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Duality Symmetry and Plane Waves in Non-Commutative Electrodynamics

Yasumi Abe·Rabin Banerjee·Izumi Tsutsui
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Abstract

We generalise the electric-magnetic duality in standard Maxwell theory to its non-commutative version. Both space-space and space-time non-commutativity are necessary. The duality symmetry is then extended to a general class of non-commutative gauge theories that goes beyond non-commutative electrodynamics. As an application of this symmetry, plane wave solutions are analysed. Dispersion relations following from these solutions show that general non-commutative gauge theories other than electrodynamics admits two waves with distinct polarisations propagating at different velocities in the same direction.

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Yasumi Abe, Rabin Banerjee, Izumi Tsutsui. 2005-04-12. Duality Symmetry and Plane Waves in Non-Commutative Electrodynamics. https://doi.org/10.1016/j.physletb.2003.08.057

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