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1/8 BPS black hole composites

MPS-Authors

Bossard,  Guillaume
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

1001.3157
(Preprint), 264KB

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Citation

Bossard, G. (in preparation). 1/8 BPS black hole composites.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0012-6413-5
Abstract
We show that the 1/8 BPS condition for composite stationary black holes can be rewritten as a first order system of differential equations associated to the nilpotent orbit in which lie the Noether charges of the black holes. Solving these equations, we prove that the most general 1/8 BPS black hole composites are solutions of the N=2 truncation of the theory associated to the quaternions. This system of first order differential equations generalises to the non-BPS solutions with a vanishing central charge at the horizon in N=2, 4 supergravity theories with a symmetric moduli space. We solve these equations for the exceptional N=2 supergravity associated to the octonions.