English

Black Holes and U-Duality

High Energy Physics - Theory 2009-09-17 v3

Abstract

We find the general charged rotating black hole solutions of the maximal supergravities in dimensions 4D94\le D\le 9 arising from toroidally compactified Type II string or M-theories. In each dimension, these are obtained by acting on a generating solution with classical duality symmetries. In D=4, D=5 and 6D96\le D \le 9 the generating solution is specified by the ADM mass, [D1/2][{D-1}/2]-angular momentum components and five, three and two charges, respectively. We discuss the BPS-saturated (static) black holes and derive the U-duality invariant form of the area of the horizon. We also comment on the U-duality invariant form of the BPS mass formulae.

Keywords

Cite

@article{arxiv.hep-th/9606193,
  title  = {Black Holes and U-Duality},
  author = {Mirjam Cvetic and Christopher M. Hull},
  journal= {arXiv preprint arXiv:hep-th/9606193},
  year   = {2009}
}

Comments

Minor corrections. Version to appear in Nuclear Physics B

R2 v1 2026-07-22T16:00:07.085Z