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Black hole attractors and the topological string

Ooguri, Hirosi and Strominger, Andrew and Vafa, Cumrun (2004) Black hole attractors and the topological string. Physical Review D, 70 (10). Art. No. 106007. ISSN 0556-2821. http://resolver.caltech.edu/CaltechAUTHORS:OOGprd04

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Abstract

A simple relationship of the form ZBH = |Ztop|2 is conjectured, where ZBH is a supersymmetric partition function for a four-dimensional BPS black hole in a Calabi-Yau compactification of Type II superstring theory and Ztop is a second-quantized topological string partition function evaluated at the attractor point in moduli space associated to the black hole charges. Evidence for the conjecture in a perturbation expansion about large graviphoton charge is given. The microcanonical ensemble of BPS black holes can be viewed as the Wigner function associated to the wave function defined by the topological string partition function.


Item Type:Article
Additional Information:©2004 The American Physical Society. Received 15 July 2004; published 19 November 2004. We would like to thank M. Aganagic, F. Denef, R. Dijkgraaf, M. Douglas, G. Moore, A. Neitzke, M. Rocek, A. van Proeyen and E. Witten for valuable discussions. The work of H.O. was supported in part by DOE Grant No. DE-FG03-92-ER40701, that of A. S. was supported in part by DOE Grant No. DE-FG02-96ER, and that of C.V. was supported in part by NSF Grants No. PHY-0244821 and No. DMS-0244464.
Subject Keywords:black holes; superstrings; Wigner distribution; wave functions; topology; supergravity
Record Number:CaltechAUTHORS:OOGprd04
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:OOGprd04
Alternative URL:http://dx.doi.org/10.1103/PhysRevD.70.106007
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3931
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:20 Jul 2006
Last Modified:26 Dec 2012 08:56

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