Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-04-18
Phys.Rev.D79:066001,2009
Physics
High Energy Physics
High Energy Physics - Theory
42 pages, 20 eps figures, small corrections
Scientific paper
10.1103/PhysRevD.79.066001
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.
Huang Min-xin
Klemm Albrecht
Marino Marcos
Tavanfar Alireza
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