A double copy for ${\cal N}=2$ supergravity: a linearised tale told on-shell

TL;DR

This paper develops an on-shell double copy framework for linearised ${ m N}=2$ supergravity with a vector multiplet, and applies it to analyze weak-field dyonic BPS black holes.

Contribution

It introduces a double copy construction for ${ m N}=2$ supergravity on-shell, extending the double copy paradigm to this specific supersymmetric theory.

Findings

Constructed the on-shell double copy for ${ m N}=2$ supergravity.

Applied the double copy to weak-field dyonic BPS black holes.

Provided insights into the structure of supergravity solutions via double copy.

Abstract

We construct the on-shell double copy for linearised four-dimensional ${\cal N}=2$ supergravity coupled to one vector multiplet with a quadratic prepotential. We apply this dictionary to the weak-field approximation of dyonic BPS black holes in this theory.