4D black holes and holomorphic factorization of the 0A matrix model

Details 4D black holes and holomorphic factorization of the 0A matrix model 4D black holes and holomorphic factorization of the 0A matrix model

2005-06-27

arxiv.org/abs/hep-th/0506219v2

JHEP 0510 (2005) 046

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, minor corrections

Scientific paper

10.1088/1126-6708/2005/10/046

In this letter, we relate the free energy of the 0A matrix model to the sum of topological and anti-topological string amplitudes. For arbitrary integer multiples of the matrix model self-dual radius we describe the geometry on which the corresponding topological string propagates. This geometry is not the one that follows from the usual ground ring analysis, but in a sense its "holomorphic square root". Mixing of terms for different genus in the matrix model free energy yields one-loop terms compatible with type II strings on compact Calabi-Yau target spaces. As an application, we give an explicit example of how to relate the 0A matrix model free energy to that of a four-dimensional black hole in type IIB theory, compactified on a compact Calabi-Yau. Variables, Legendre transforms, and large classical terms on both sides match perfectly.

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