Black hole attractors and the topological string

Journal Article · Mon Nov 15 00:00:00 EST 2004 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.70.106007· OSTI ID:20698062

Ooguri, Hirosi ^[1]; Strominger, Andrew; Vafa, Cumrun ^[2]

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1. California Institute of Technology, Pasadena, California 91125 (United States)
2. Jefferson Physical Laboratory, Harvard University, Cambridge, Massachusetts 02138 (United States)

A simple relationship of the form Z{sub BH}= vertical bar Z{sub top} vertical bar{sup 2} is conjectured, where Z{sub BH} is a supersymmetric partition function for a four-dimensional BPS black hole in a Calabi-Yau compactification of Type II superstring theory and Z{sub top} 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.

• OSTI ID: 20698062
• Journal Information: Physical Review. D, Particles Fields, Vol. 70, Issue 10; Other Information: DOI: 10.1103/PhysRevD.70.106007; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ATTRACTORS
BLACK HOLES
COMPACTIFICATION
DISTURBANCES
EXPANSION
PARTITION FUNCTIONS
QUANTUM FIELD THEORY
SPACE
SUPERGRAVITY
SUPERSTRING MODELS
SUPERSYMMETRY
TOPOLOGY
WAVE FUNCTIONS
WIGNER DISTRIBUTION