Duality covariant non-BPS first order systems

TL;DR

This paper derives duality covariant first order flow equations for extremal non-BPS black hole solutions in four-dimensional N=2 supergravity, providing explicit solutions for single-centre and multi-centre cases.

Contribution

It introduces a duality covariant framework for non-BPS black hole solutions and explicitly solves the flow equations for single-centre configurations.

Findings

Derived first order flow equations for non-BPS black holes.

Obtained explicit duality covariant solutions for single-centre cases.

Extended solutions to multi-centre non-interacting configurations.

Abstract

We study extremal black hole solutions to four dimensional N=2 supergravity based on a cubic symmetric scalar manifold. Using the coset construction available for these models, we define the first order flow equations implied by the corresponding nilpotency conditions on the three-dimensional scalar momenta for the composite non-BPS class of multi-centre black holes. As an application, we directly solve these equations for the single-centre subclass, and write the general solution in a manifestly duality covariant form. This includes all single-centre under-rotating non-BPS solutions, as well as their non-interacting multi-centre generalisations.