New duality-invariant models for nonlinear supersymmetric electrodynamics

TL;DR

This paper introduces new duality-invariant models for nonlinear supersymmetric electrodynamics coupled to supergravity, including novel Fayet-Iliopoulos terms and models for spontaneously broken local supersymmetry.

Contribution

It develops a new family of $ ext{U}(1)$ duality-invariant models with innovative features like a Fayet-Iliopoulos term without gauged R-symmetry, expanding the theoretical framework.

Findings

Proposed new duality-invariant models for supersymmetric electrodynamics

Included models with spontaneous supersymmetry breaking

Presented superconformal duality-invariant formulations

Abstract

We propose a new family of $\mathsf{U}(1)$ duality-invariant models for nonlinear ${\cal N}=1$ 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 $\mathsf{U}(1)$ duality-invariant models for spontaneously broken local supersymmetry.