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Attractor black holes and quantum distribution functions

✍ Scribed by S. Montañez; C. Gómez

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
113 KB
Volume
55
Category
Article
ISSN
0015-8208

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

Using the attractor mechanism and the wavefunction interpretation of the topological string partition function on a Calabi Yau threefold M we study the relation between the Bekenstein‐Hawking‐Wald entropy of BPS Calabi‐Yau black holes and quantum distribution functions defined on H^3^(M). We discuss the OSV conjecture in this context. This talk is based on [1].

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+ r 2 dΩ 2 , (1) where spherical coordinates t, r, θ, ϕ were chosen, dΩ 2 def = dθ 2 + sin 2 θ dϕ 2 , and the radial coordinate r was chosen such that the angular component in this expression coincides with that of empty space-time. Furthermore, we absorbed Newton's constant G N into the definition