ModMax meets Susy

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.

36 pp. v3 includes further minor corrections and clarifications

References in corpus (7)

• A non-linear duality-invariant conformal extension of Maxwell's equations
• Nonlinear electrodynamics with the maximum allowable symmetries
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Cited by in corpus (1)

• Stress Tensor Flows, Birefringence in Non-Linear Electrodynamics, and Supersymmetry