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New Approach to Duality-Invariant Nonlinear Electrodynamics

Research paper by Evgeny Ivanov, Olaf Lechtenfeld, Boris Zupnik

Indexed on: 20 Oct '13Published on: 20 Oct '13Published in: High Energy Physics - Theory



Abstract

We survey a new approach to the duality-invariant systems of nonlinear electrodynamics, based on introducing auxiliary bi-spinor fields. In this approach, the entire information about the given self-dual system is encoded in the U(1) invariant interaction of the auxiliary fields, while the standard self-dual Lagrangians appear on shell as a result of eliminating auxiliary fields by their equations of motion. Starting from the simplest U(1) duality, we show how this approach can be generalized to the U(N) duality (with N independent Maxwell field strengths), as well as to self-dual systems of {\cal N}=1 supersymmetric electrodynamics. Also, it works perfectly for self-dual systems with higher derivatives in the action.