Branes at Angles and Black Holes

Details Branes at Angles and Black Holes Branes at Angles and Black Holes

1997-04-20

arxiv.org/abs/hep-th/9704143v3

Phys.Rev. D57 (1998) 3509-3528

Physics

High Energy Physics

High Energy Physics - Theory

37 pages, LaTeX, Equations of motion explicitly verified, discussion of supersymmetry expanded, reference added, version to ap

Scientific paper

10.1103/PhysRevD.57.3509

We construct the most general supersymmetric configuration of D2-branes and D6-branes on a 6-torus. It contains arbitrary numbers of branes at relative U(3) angles. The corresponding supergravity solutions are constructed and expressed in a remarkably simple form, using the complex geometry of the compact space. The spacetime supersymmetry of the configuration is verified explicitly, by solution of the Killing spinor equations. Our configurations can be interpreted as a 16-parameter family of regular extremal black holes in four dimensions. Their entropy is interpreted microscopically by counting the degeneracy of bound states of D-branes. Our result agrees in detail with the prediction for the degeneracy of BPS states in terms of the quartic invariant of the E(7,7) duality group.

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