Entropic principle and asymptotic freedom | Zendy

Sergei Gukov | Zendy; Kirill Saraikin | Zendy; Cumrun Vafa | Zendy

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Entropic principle and asymptotic freedom

Author(s) -

Sergei Gukov,

Kirill Saraikin,

Cumrun Vafa

Publication year - 2006

Publication title -

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Language(s) - English

Resource type - Journals

eISSN - 1550-7998

pISSN - 1550-2368

DOI - 10.1103/physrevd.73.066010

Subject(s) - moduli space , moduli , entropy (arrow of time) , mathematics , black hole thermodynamics , physics , pure mathematics , quantum mechanics

Motivated by the recent developments about the Hartle-Hawking wave functionassociated to black holes, we formulate an entropy functional on the modulispace of Calabi-Yau compactifications. We find that the maximization of theentropy is correlated with the appearance of asymptotic freedom in theeffective field theory. The points where the entropy is maximized correspond topoints on the moduli which are maximal intersection points of walls of marginalstability for BPS states. We also find an intriguing link between extremizingthe entropy functional and the points on the moduli space of Calabi-Yauthree-folds which admit a `quantum deformed' complex multiplication.Comment: 25 pages, 2 figures, harvmac, v.2: sign error in the large complex structure example correcte

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