A comment on quantum distribution functions and the OSV conjecture

2006/08/31 by Cesar Gomez, César Gómez, Sergio Montanez +1 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1088/1126-6708/2006/12/069

published as JHEP0612:069,2006 · 27 pages. v2:reference and footnote added

arxiv created 2006/09/11 · openalex publication_date 2006/12/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using the attractor mechanism and the relation between the quantization of H³(M) and topological strings on a Calabi Yau threefold M we define a map from BPS black holes into coherent states. This map allows us to represent the Bekenstein-Hawking-Wald entropy as a quantum distribution function on the phase space H³(M). This distribution function is a mixed Husimi/anti-Husimi distribution corresponding to the different normal ordering prescriptions for the string coupling and deviations of the complex structure moduli. From the integral representation of this distribution function in terms of the Wigner distribution we recover the Ooguri-Strominger-Vafa (OSV) conjecture in the region "at infinity" of the complex structure moduli space. The physical meaning of the OSV corrections are briefly discussed in this limit.

Citations

• Quantum Background Independence In String Theory
• Two Dimensional Yang-Mills, Black Holes and Topological Strings
• Topological Strings and (Almost) Modular Forms
• Les Houches Lectures on Strings and Arithmetic
• Distribution functions in physics: Fundamentals
• Towards Integrability of Topological Strings I: Three-forms on Calabi–Yau manifolds
• Black Hole Entropy, Special Geometry and Strings
• A Farey tail for attractor black holes
• BPS Microstates and the Open Topological String Wave Function
• On the Quantum Correction For Thermodynamic Equilibrium

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