Home > Black Holes and Large Order Quantum Geometry |
Article | |
Report number | arXiv:0704.2440 ; MAD-TH-07-05 ; CERN-PH-TH-2007-070 ; CERN-PH-TH-2007-070 ; MAD-TH-07-05 |
Title | Black Holes and Large Order Quantum Geometry |
Author(s) | Huang, Min-xin (Wisconsin U., Madison) ; Klemm, Albrecht (Wisconsin U., Madison ; Wisconsin U., Madison, Math. Dept.) ; Marino, Marcos (CERN) ; Tavanfar, Alireza (CERN ; IPM, Tehran) |
Publication | 2009 |
Imprint | 20 Apr 2007 |
Number of pages | 42 |
In: | Phys. Rev. D 79 (2009) 066001 |
DOI | 10.1103/PhysRevD.79.066001 |
Subject category | Particle Physics - Theory |
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. |