Multi-centered ${\mathcal N}=2$ BPS black holes: a double copy description

TL;DR

This paper develops a double copy framework for linearized ${\mathcal N}=2$ supergravity with multiple vector multiplets and applies it to describe multi-centered BPS black hole solutions in the weak-field limit.

Contribution

It introduces an on-shell double copy dictionary for ${\mathcal N}=2$ supergravity with vector multiplets and constructs a double copy description of multi-centered BPS black holes.

Findings

Double copy dictionary for ${\mathcal N}=2$ supergravity established.

Double copy description of multi-centered BPS black holes constructed.

Applicable in the weak-field approximation.

Abstract

We present the on-shell double copy dictionary for linearised ${\mathcal N}=2$ supergravity coupled to an arbitrary number of vector multiplets in four dimensions. Subsequently, we use it to construct a double copy description of multi-centered BPS black hole solutions in these theories in the weak-field approximation.