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arXiv · 2106.07547

ModMax meets Susy

Igor Bandos·Kurt Lechner·Dmitri Sorokin·Paul K. Townsend
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Abstract

We give a prescription for N=1 supersymmetrization of any (four-dimensional) nonlinear electrodynamics theory with a Lagrangian density satisfying a convexity condition that we relate to semi-classical unitarity. We apply it to the one-parameter ModMax extension of Maxwell electrodynamics that preserves both electromagnetic duality and conformal invariance, and its Born-Infeld-like generalization, proving that duality invariance is preserved. We also establish superconformal invariance of the superModMax theory by showing that its coupling to supergravity is super-Weyl invariant. The higher-derivative photino-field interactions that appear in any supersymmetric nonlinear electrodynamics theory are removed by an invertible nonlinear superfield redefinition.

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Igor Bandos, Kurt Lechner, Dmitri Sorokin, Paul K. Townsend. 2021-10-06. ModMax meets Susy. https://doi.org/10.1002/9781119815570.ch1

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