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arXiv · 1310.5362

New Approach to Duality-Invariant Nonlinear Electrodynamics

Evgeny Ivanov·Olaf Lechtenfeld·Boris Zupnik
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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.

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Evgeny Ivanov, Olaf Lechtenfeld, Boris Zupnik. 2013-10-20. New Approach to Duality-Invariant Nonlinear Electrodynamics. https://doi.org/10.1088/1742-6596%2F474%2F1%2F012023

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