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Black hole attractors and pure spinors
Author(s) -
Jonathan P Hsu,
Alexander Maloney,
Alessandro Tomasiello
Publication year - 2006
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2006/09/048
Subject(s) - attractor , spinor , pure spinor , formalism (music) , moduli , physics , theoretical physics , mathematical physics , pure mathematics , mathematics , mathematical analysis , quantum mechanics , supersymmetry , art , musical , superstring theory , visual arts
We construct black hole attractor solutions for a wide class of N=2compactifications. The analysis is carried out in ten dimensions and makescrucial use of pure spinor techniques. This formalism can accommodatenon-Kaehler manifolds as well as compactifications with flux, in addition tothe usual Calabi-Yau case. At the attractor point, the charges fix the moduliaccording 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 equationreduces to the usual one. Methods in generalized complex geometry can be usedto study solutions to the attractor equation.Comment: 26 page

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