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Entropic principle and asymptotic freedom

Gukov, Sergei and Saraikin, Kirill and Vafa, Cumrun (2006) Entropic principle and asymptotic freedom. Physical Review D, 73 (6). Art. No. 066010. ISSN 2470-0010. https://resolver.caltech.edu/CaltechAUTHORS:GUKprd06

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Abstract

Motivated by the recent developments about the Hartle-Hawking wave function associated to black holes, we formulate an entropy functional on the moduli space of Calabi-Yau compactifications. We find that the maximization of the entropy is correlated with the appearance of asymptotic freedom in the effective field theory. The points where the entropy is maximized correspond to points on the moduli which are maximal intersection points of walls of marginal stability for Bogomolnyi-Prasad-Sommerfield states. We also find an intriguing link between extremizing the entropy functional and the points on the moduli space of Calabi-Yau three folds which admit a "quantum deformed" complex multiplication.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/hep-th/0509109arXivDiscussion Paper
Additional Information:© 2006 The American Physical Society. (Received 20 January 2006; published 21 March 2006) We would like to thank R. Dijkgraaf, S. Katz, A. Klemm, M. Roček, T. Oliker and H. Ooguri for valuable discussions. We also thank B. Fiol for pointing out a sign error in the large complex structure limit example, that appeared in the first version of the paper. This research was supported in part by NSF Grant Nos. PHY-0244821 and DMS-0244464. K. S. and S. G. are also supported in part by RFBR grant 04-02-16880. We would like to thank the 2005 Simons Workshop on Mathematics and Physics for providing a stimulating environment where part of this work was done. S. G. would also like to thank the KITP at Santa Barbara for hospitality during the completion of this work. While at KITP, the research of S. G. was supported in part by the NSF under grant PHY99-07949.
Funders:
Funding AgencyGrant Number
NSFPHY-0244821
NSFDMS-024446
Russian Foundation for Basic Research04-02-16880
NSFPHY99-07949
Subject Keywords:entropy; black holes; wave functions; string theory
Issue or Number:6
Record Number:CaltechAUTHORS:GUKprd06
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:GUKprd06
Alternative URL:http://dx.doi.org/10.1103/PhysRevD.73.066010
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3166
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:17 May 2006
Last Modified:02 Oct 2019 23:00

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