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Black Hole Attractors and Pure Spinors

Technical Report ·
DOI:https://doi.org/10.2172/876603· OSTI ID:876603

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 {Sigma}f{sub 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.

Research Organization:
Stanford Linear Accelerator Center (SLAC)
Sponsoring Organization:
USDOE
DOE Contract Number:
AC02-76SF00515
OSTI ID:
876603
Report Number(s):
SLAC-PUB-11678; hep-th/0602142
Country of Publication:
United States
Language:
English

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