Black Hole Attractors and Pure Spinors

Hsu, Jonathan P. ; Maloney, Alexander ; Tomasiello, Alessandro

Stanford Linear Accelerator Center

关键词: Attractors;    Dimensions;    71 Classical And Quantum Mechanics, General Physics;    Spinors Theory-Hep,Grqc, Hepth;    Geometry;   

DOI  :  10.2172/876603
RP-ID  :  SLAC-PUB-11678
RP-ID  :  AC02-76SF00515
RP-ID  :  876603

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来源: UNT Digital Library

【 摘 要 】

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.