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 (1)

• Non-Kaehler attracting manifolds

Cited by in corpus (17)

• Flow equations and attractors for black holes in N = 2 U(1) gauged supergravity
• On the Moduli Space of non-BPS Attractors for N=2 Symmetric Manifolds
• Reformulating Supersymmetry with a Generalized Dolbeault Operator
• Magic Supergravities, N= 8 and Black Hole Composites
• 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
• Attractors in Black
• Separation of Attractors in 1-modulus Quantum Corrected Special Geometry
• AdS Vacua, Attractor Mechanism and Generalized Geometries
• Black Hole Entropy, Marginal Stability and Mirror Symmetry
• Entropy Function for Non-extremal D1D5 and D2D6NS5-branes