Black Holes and U-Duality

Abstract

We find the general charged rotating black hole solutions of the maximal supergravities in dimensions $4\le D\le 9$ 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 $6\le D\le 9$ the generating solution is specified by the ADM mass, $[D-1/2]$-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.

Minor corrections. Version to appear in Nuclear Physics B

References in corpus (3)

• Solitonic Strings and BPS Saturated Dyonic Black Holes
• Extreme dyonic black holes in string theory
• Rotating Black Holes which Saturate a Bogomol'nyi Bound

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