Black hole attractors and the topological string

2004/05/31 by Hirosi Ooguri, Andrew Strominger, Cumrun Vafa · 12 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Combinatorics #Compactification (mathematics) #Conjecture #Cosmology and Gravitation Theories #Mathematical physics #Mathematics #Moduli space #Noncommutative and Quantum Gravity Theories #Partition function (quantum field theory) #Physics #Pure mathematics #Quantum mechanics #String theory #Superstring theory #Supersymmetry #hep-th

paper · pdf · doi:10.1103/physrevd.70.106007

published as Phys.Rev.D70:106007,2004 · 32 pages, harvmac

arxiv created 2004/06/01 · openalex publication_date 2004/11/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A simple relationship of the form Z_BH=|Z_top|² is conjectured, where Z_BH is a supersymmetric partition function for a four-dimensional BPS black hole in a Calabi-Yau compactification of Type II superstring theory and Z_top is a second-quantized topological string partition function evaluated at the attractor point in moduli space associated to the black hole charges. Evidence for the conjecture in a perturbation expansion about large graviphoton charge is given. The microcanonical ensemble of BPS black holes can be viewed as the Wigner function associated to the wave function defined by the topological string partition function.

Citations

• Quantum Background Independence In String Theory
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• Les Houches Lectures on Strings and Arithmetic
• Arithmetic and Attractors
• Attractors and Arithmetic
• Twists and Wilson loops in the string theory of two-dimensional QCD
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• On the partition sum of the NS five-brane
• Two Dimensional Gauge Theories Revisited
• Microscopic Origin of the Bekenstein-Hawking Entropy
• N=2 strings and the twistorial Calabi-Yau
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• Two-dimensional QCD as a string theory

Cited by

• Entropic principle and asymptotic freedom
• J FUNCTIONS, NON-NEF TORIC VARIETIES AND EQUIVARIANT LOCAL MIRROR SYMMETRY OF CURVES
• How does a fundamental string stretch its horizon?
• Quantum black hole entropy and the holomorphic prepotential of N=2 supergravity
• Quantum near-horizon geometry of a black 0-brane
• 5D/4DU-dualities andN=8black holes
• Stability and Duality in N = 2 Supergravity
• S-duality and a large N phase transition in N=4 SYM on K3 at strong coupling
• Gluing gravitational blocks for AdS black holes
• Scaling black holes and modularity
• Topological M-theory as unification of form theories of gravity
• Hitchin functional [wikipedia]