paper

Charge Orbits of Symmetric Special Geometries and Attractors

arXiv:hep-th/0606209 · doi:10.1142/S0217751X06034355

Abstract

We study the critical points of the black hole scalar potential in N=2, d=4 supergravity coupled to vector multiplets, in an asymptotically flat extremal black hole background described by a 2(n_{V}+1)-dimensional dyonic charge vector and (complex) scalar fields which are coordinates of a special Kähler manifold. For the case of homogeneous symmetric spaces, we find three general classes of regular attractor solutions with non-vanishing Bekenstein-Hawking entropy. They correspond to three (inequivalent) classes of orbits of the charge vector, which is in a 2(n_{V}+1)-dimensional representation of the U-duality group. Such orbits are non-degenerate, namely they have non-vanishing quartic invariant (for rank-3 spaces). Other than the 1/2-BPS one, there are two other distinct non-BPS classes of charge orbits, one of which has vanishing central charge. The three species of solutions to the N=2 extremal black hole attractor equations give rise to different mass spectra of the scalar fluctuations, whose pattern can be inferred by using invariance properties of the critical points of and some group theoretical considerations on homogeneous symmetric special Kähler geometry.

arXiv comment63 pages, 9 Tables. v2: typos fixed, Refs. added, accepted for publication in IJMPA

References in corpus (23)

Cited by in corpus (100)