N=4 BPS black holes and octonionic twistors
Abstract
Stationary, spherically symmetric solutions of N=2 supergravity in 3+1 dimensions have been shown to correspond to holomorphic curves on the twistor space of the quaternionic-K\"ahler space which arises in the dimensional reduction along the time direction. In this note, we generalize this result to the case of 1/4-BPS black holes in N=4 supergravity, and show that they too can be lifted to holomorphic curves on a "twistor space" Z, obtained by fibering the Grassmannian F=SO(8)/U(4) over the moduli space in three-dimensions SO(8,n_v+2)/SO(8)xSO(n_v+2). This provides a kind of octonionic generalization of the standard constructions in quaternionic geometry, and may be useful for generalizing the known BPS black hole solutions, and finding new non-BPS extremal solutions.
Cite
@article{arxiv.0806.4563,
title = {N=4 BPS black holes and octonionic twistors},
author = {Yann Michel and Boris Pioline and Clement Rousset},
journal= {arXiv preprint arXiv:0806.4563},
year = {2011}
}
Comments
30 pages, one figure, uses JHEP3.cls