New duality-invariant models for nonlinear supersymmetric electrodynamics

Abstract

We propose a new family of U(1) duality-invariant models for nonlinear N\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$ \\mathcal{N} $$\\end{document} = 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.