Regular R-R and NS-NS BPS black holes

Abstract

We show in a precise group theoretical fashion how the generating solution of regular BPS black holes of N=8 supergravity, which is known to be a solution also of a simpler N=2 STU model truncation, can be characterized as NS-NS or R-R charged according to the way the corresponding STU model is embedded in the original N=8 theory. Of particular interest is the class of embeddings which yield regular BPS black hole solutions carrying only R-R charge and whose microscopic description can possibly be given in terms of bound states of D-branes only. The microscopic interpretation of the bosonic fields in this class of STU models relies on the solvable Lie algebra (SLA) method. In the present article we improve this mathematical technique in order to provide two distinct descriptions for type IIA and type IIB theories and an algebraic characterization of S*T--dual embeddings within the N=8,d=4 theory. This analysis will be applied to the particular example of a four parameter (dilatonic) solution of which both the full macroscopic and microscopic descriptions will be worked out.

latex, 30 pages. Final version to appear on Int.J.Mod.Phys

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• The Scherk-Schwarz mechanism as a flux compactification with internal torsion
• Regular BPS black holes: macroscopic and microscopic description of the generating solution
• Cosmological backgrounds of superstring theory and Solvable Algebras: Oxidation and Branes
• The arrow of time and the Weyl group: all supergravity billiards are integrable
• Gaugings and other supergravity tools of p-brane physics
• Homogeneous Special Manifolds, Orientifolds and Solvable Coordinates
• Super-Ehlers in Any Dimension
• Dual Gauged Supergravities
• Exact solutions for Bianchi type cosmological metrics, Weyl orbits of E_{8(8)} subalgebras and p--branes
• Extremal Multicenter Black Holes: Nilpotent Orbits and Tits Satake Universality Classes
• Walls from fluxes: An analytic RG-flow
• Near-horizon behavior of string-loop-corrected dyonic black holes