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arXiv · 0704.2440

Black Holes and Large Order Quantum Geometry

Min-xin Huang·Albrecht Klemm·Marcos Marino·Alireza Tavanfar
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Abstract

We study five-dimensional black holes obtained by compactifying M theory on Calabi-Yau threefolds. Recent progress in solving topological string theory on compact, one-parameter models allows us to test numerically various conjectures about these black holes. We give convincing evidence that a microscopic description based on Gopakumar-Vafa invariants accounts correctly for their macroscopic entropy, and we check that highly nontrivial cancellations -which seem necessary to resolve the so-called entropy enigma in the OSV conjecture- do in fact occur. We also study analytically small 5d black holes obtained by wrapping M2 branes in the fiber of K3 fibrations. By using heterotic/type II duality we obtain exact formulae for the microscopic degeneracies in various geometries, and we compute their asymptotic expansion for large charges.

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Min-xin Huang, Albrecht Klemm, Marcos Marino, Alireza Tavanfar. 2008-12-13. Black Holes and Large Order Quantum Geometry. https://doi.org/10.1103/physrevd.79.066001

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