Black Hole Attractors and Pure Spinors

Details Black Hole Attractors and Pure Spinors Black Hole Attractors and Pure Spinors

2006-02-15

arxiv.org/abs/hep-th/0602142v1

JHEP0609:048,2006

Physics

High Energy Physics

High Energy Physics - Theory

26 pages

Scientific paper

10.1088/1126-6708/2006/09/048

We construct black hole attractor solutions for a wide class of N=2 compactifications. The analysis is carried out in ten dimensions and makes crucial use of pure spinor techniques. This formalism can accommodate non-Kaehler manifolds as well as compactifications with flux, in addition to the usual Calabi-Yau case. At the attractor point, the charges fix the moduli according to sum_k f_k = Im(C Phi), where Phi is a pure spinor of odd (even) chirality in IIB (A). For IIB on a Calabi-Yau, Phi=Omega and the equation reduces to the usual one. Methods in generalized complex geometry can be used to study solutions to the attractor equation.

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