New duality-invariant models for nonlinear supersymmetric electrodynamics

Abstract

Abstract We propose a new family of U(1) duality-invariant models for nonlinear $$ \mathcal{N} $$ N = 1 supersymmetric electrodynamics coupled to supergravity. It includes the Cribiori-Farakos-Tournoy-van Proeyen supergravity-matter theory for spontaneously broken local supersymmetry with a novel Fayet-Iliopoulos term without gauged R-symmetry. We present superconformal duality-invariant models, as well as new U(1) duality-invariant models for spontaneously broken local supersymmetry.