Lagrangians with electric and magnetic charges of N=2 supersymmetric gauge theories

TL;DR

This paper constructs general Lagrangians for N=2 supersymmetric gauge theories with electric and magnetic charges, highlighting duality invariance and applications to supergravity.

Contribution

It introduces a comprehensive framework for N=2 gauge theories with electric and magnetic charges, including scalar potentials and hypermultiplet couplings, extending off-shell representations.

Findings

Lagrangians invariant under electric/magnetic duality

Scalar potential induced by charges in the theories

Construction of off-shell representations with vector and tensor supermultiplets

Abstract

General Lagrangians are constructed for N=2 supersymmetric gauge theories in four space-time dimensions involving gauge groups with (non-abelian) electric and magnetic charges. The charges induce a scalar potential, which, when the charges are regarded as spurionic quantities, is invariant under electric/magnetic duality. The resulting theories are especially relevant for supergravity, but details of the extension to local supersymmetry will be discussed elsewhere. The results include the coupling to hypermultiplets. Without the latter, it is demonstrated how an off-shell representation can be constructed based on vector and tensor supermultiplets.