Nonlinear self-duality in N = 2 supergravity

TL;DR

This paper formulates a self-duality equation for nonlinear Abelian vector supermultiplet models coupled to N=2 supergravity, extending previous flat space results and providing an example with higher-derivative Born-Infeld action.

Contribution

It introduces a self-duality equation for N=2 supergravity models and presents a new self-dual model with higher-derivative Born-Infeld extension.

Findings

Derived the self-duality equation for nonlinear models in supergravity

Connected the curved space equation to the flat space limit

Provided an explicit example with higher-derivative Born-Infeld action

Abstract

For nonlinear models of an Abelian vector supermultiplet coupled to N = 2 supergravity in four dimensions, we formulate the self-duality equation which expresses invariance under U(1) duality rotations. In the flat space limit, this equation reduces to the N = 2 self-duality equation proposed in hep-th/0001068. We also give an example of a self-dual locally supersymmetric model containing a higher-derivative extension of the Born-Infeld action at the component level.