Duality covariant non-BPS first order systems
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.
Cite
@article{arxiv.1205.5461,
title = {Duality covariant non-BPS first order systems},
author = {Guillaume Bossard and Stefanos Katmadas},
journal= {arXiv preprint arXiv:1205.5461},
year = {2015}
}
Comments
31 pages, v2: Discussion of the quadratic constraint clarified, references added, typos corrected, published version