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Hartle-Hawking Wave-Function for Flux Compactifications: the Entropic Principle

Ooguri, Hirosi and Vafa, Cumrun and Verlinde, Erik (2005) Hartle-Hawking Wave-Function for Flux Compactifications: the Entropic Principle. Letters in Mathematical Physics, 74 (3). pp. 311-342. ISSN 0377-9017. doi:10.1007/s11005-005-0022-x.

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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.

Item Type:Article
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Ooguri, Hirosi0000-0001-6021-3778
Additional Information:© Springer 2005. (Received: 21 March 2005) We would like to thank F. Denef, R. Dijkgraaf, G. Gibbons, R. Gopakumar, S. Gukov, G. Mandal, S. Minwalla, L. Motl, A. Neitzke, J. Preskill, A. Strominger, and L. Susskind for useful discussions. The research of H.O. was supported in part by DOE grant DE-FG03-92-ER40701. The research of C.V. was supported in part by NSF grants PHY-0244821 and DMS-0244464.
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Department of Energy (DOE)DE-FG03-92-ER40701
Subject Keywords:topological string, mini-superspace, black hole, BPS state
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Issue or Number:3
Classification Code:Mathematics Subject Classifications. 81T20, 83C47, 83E30
Record Number:CaltechAUTHORS:20190927-133504041
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Official Citation:Ooguri, H., Vafa, C. & Verlinde, E. Lett Math Phys (2005) 74: 311.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:98909
Deposited By: George Porter
Deposited On:30 Sep 2019 14:32
Last Modified:16 Nov 2021 17:42

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