Black Hole Attractors and Pure Spinors

Abstract

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.

26 pages

References in corpus (22)

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• Supersymmetry and Attractors
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• Macroscopic Entropy of $N=2$ Extremal Black Holes
• New Supersymmetric String Compactifications
• Exact Counting of Black Hole Microstates
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• Non-Supersymmetric Attractors
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• How Does a Fundamental String Stretch its Horizon?
• New Attractors
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• Exact and Asymptotic Degeneracies of Small Black Holes
• Generalised $G_2$-structures and type IIB superstrings
• The Hitchin functionals and the topological B-model at one loop
• Type II Strings and Generalized Calabi-Yau Manifolds
• M-theory on eight-manifolds revisited: N=1 supersymmetry and generalized Spin(7) structures
• Non-Kaehler attracting manifolds

Cited by in corpus (29)

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• stu Black Holes Unveiled
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• Reformulating Supersymmetry with a Generalized Dolbeault Operator
• Erice Lectures on Black Holes and Attractors
• N=8 non-BPS Attractors, Fixed Scalars and Magic Supergravities
• d=4 Attractors, Effective Horizon Radius and Fake Supergravity
• 4d/5d Correspondence for the Black Hole Potential and its Critical Points
• d=4 Black Hole Attractors in N=2 Supergravity with Fayet-Iliopoulos Terms
• Non-BPS Attractors in 5d and 6d Extended Supergravity
• Attractors with Vanishing Central Charge
• Black-Hole Attractors in N=1 Supergravity
• Towards reduction of type II theories on SU(3) structure manifolds
• Attractors in Black
• On Attractor Mechanism and Entropy Function for Non-extremal Black Holes/Branes
• Generalized structures of ten-dimensional supersymmetric solutions
• Separation of Attractors in 1-modulus Quantum Corrected Special Geometry
• Generalized Attractor Points in Gauged Supergravity
• Pure spinor equations to lift gauged supergravity
• Domain wall flow equations and SU(3)xSU(3) structure compactifications
• Black Hole Entropy, Marginal Stability and Mirror Symmetry
• Nonlinear symmetries of black hole entropy in gauged supergravity
• AdS Vacua, Attractor Mechanism and Generalized Geometries
• SAM Lectures on Extremal Black Holes in d=4 Extended Supergravity
• AdS4 black holes from M-theory
• Half-flat Quantum Hair
• Entropy Function for Non-extremal D1D5 and D2D6NS5-branes
• Near-Horizon geometry from flux compactification