Matrix models, 4D black holes and topological strings on non-compact Calabi-Yau manifolds | Zendy

Ulf Danielsson | Zendy; Martin E Olsson | Zendy; Marcel Vonk | Zendy

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Matrix models, 4D black holes and topological strings on non-compact Calabi-Yau manifolds

Author(s) -

Ulf Danielsson,

Martin E Olsson,

Marcel Vonk

Publication year - 2004

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2004/11/007

Subject(s) - calabi–yau manifold , topological entropy , matrix (chemical analysis) , physics , topology (electrical circuits) , pure mathematics , mathematics , combinatorics , materials science , composite material

We study the relation between c=1 matrix models at self-dual radii andtopological strings on non-compact Calabi-Yau manifolds. In particular thespecial case of the deformed matrix model is investigated in detail. Usingrecent results on the equivalence of the partition function of topologicalstrings and that of four dimensional BPS black holes, we are able to calculatethe entropy of the black holes, using matrix models. In particular, we show howto deal with the divergences that arise as a result of the non-compactness ofthe Calabi-Yau. The main result is that the entropy of the black hole at zerotemperature coincides with the canonical free energy of the matrix model, up toa proportionality constant given by the self-dual temperature of the matrixmodel.Comment: 42 pages, 10 figures. v2: Minor corrections and clarifications added. References adde

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