The Most General BPS Black Hole from Type II String Theory on a Six-Torus the Macroscopic-Microscopic Correspondence

Details The Most General BPS Black Hole from Type II String Theory on a Six-Torus the Macroscopic-Microscopic Correspondence The Most General BPS Black Hole from Type II String Theory on a Six-Torus the Macroscopic-Microscopic Correspondence

Dec 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002nmgm.meet.1177b&link_type=abstract

"THE NINTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and R

Physics

Scientific paper

BPS black hole solutions in supergravity have been playing an important role in probing non-perturbative superstring dualities. The largest of these dualities is the conjectured U-duality, implemented by a discrete group of transformations U(Z), which represents the ultimate connection between all known superstring theories realized on various backgrounds. This picture suggests the existence of a unique fundamental quantum theory underlying the superstring theories, of which U-duality is an exact symmetry. In [1] this U-duality was conjectured to be encoded in the largest global symmetry group of the the field equations and Bianchi identities in the low-energy effective supergravity theory, which is described at classical level by a continuous semisimple Lie group U. The degree of supersymmetry preserved by BPS black holes in supergravity protects their physical quantities to a certain extent from quantum corrections so that they can be thought to correspond to solutions of superstring theory. Since moreover the BPS condition is U-duality invariant, these solutions naturally span an orbit of the U-duality group, which is a continuous collection of solutions at classical supergravity level and a discrete set at the superstring level. Supergravity represents the framework in which these orbits can be studied in most detail . A fruitful strategy therefore in order to study the microscopic features of BPS black holes in relation to their U-duality invariant properties would be to keep track in a precise mathematical fashion of the microscopic description of BPS black holes at this low-energy level and moreover to focus on the most general BPS black hole in a certain orbit modulo U-duality transformations, namely the generating solution. This is the main philosophy motivating the research project carried out in [3,4,5] where a macroscopic (supergravity) starting point was adopted for a systematic microscopic analysis of regular BPS (static, spherically symmetric) black holes within type II (M) theory compactified down to four dimensions on tori, and whose zero modes are described by N = 8 four dimensional supergravity. The U-duality group of this theory is U = E7(7) [6]. This class of black holes was shown to preserve 1/8 of the original supersymmetries and to be characterized by five U-duality invariants (one of which being the entropy) ...

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