N=2 Supersymmetry and U(1)-Duality

TL;DR

This paper develops a method for constructing covariant non-linear deformations of U(1)-duality invariant theories within N=2 supersymmetry, aiding the understanding of duality's role in supergravity UV properties.

Contribution

It introduces a procedure for creating duality-covariant actions compatible with N=2 supersymmetry, extending previous non-supersymmetric duality constructions.

Findings

Constructed covariant non-linear deformations of U(1)-duality invariant theories with N=2 supersymmetry.

Provides a framework for analyzing duality and extended supersymmetry interactions.

Advances the understanding of duality-invariant actions in supersymmetric theories.

Abstract

Understanding the consequences of the E_{7(7)} duality on the UV properties of N=8 supergravity requires unravelling when and how duality-covariant actions can be constructed so as to accommodate duality-invariant counter-terms. For non-supersymmetric abelian gauge theories exhibiting U(1)-duality, with and without derivative couplings, it was shown that such a covariant construction is always possible. In this paper we describe a similar procedure for the construction of covariant non-linear deformations of U(1)-duality invariant theories in the presence of rigid N=2 supersymmetry. This is a concrete step towards studying the interplay of duality and extended supersymmetry.