Hartle-Hawking Wave-Function for Flux Compactifications

Details Hartle-Hawking Wave-Function for Flux Compactifications Hartle-Hawking Wave-Function for Flux Compactifications

2005-02-23

arxiv.org/abs/hep-th/0502211v2

Lett.Math.Phys.74:311-342,2005

Physics

High Energy Physics

High Energy Physics - Theory

37 pages, 2 figures

Scientific paper

10.1007/s11005-005-0022-x

We argue that the topological string partition function, which has been known to correspond to a wave-function, can be interpreted as an exact ``wave-function of the universe'' in the mini-superspace sector of physical superstring theory. This realizes the idea of Hartle and Hawking in the context of string theory, including all loop quantum corrections. The mini-superspace approximation is justified as an exact description of BPS quantities. Moreover this proposal leads to a conceptual explanation of the recent observation that the black hole entropy is the square of the topological string wave-function. This wave-function can be interpreted in the context of flux compactification of all spatial dimensions as providing a physical probability distribution on the moduli space of string compactification. Euclidean time is realized holographically in this setup.

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