Entropic principle and asymptotic freedom
Abstract
Motivated by the recent developments about the HartleHawking wave function associated to black holes, we formulate an entropy functional on the moduli space of CalabiYau 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 BogomolnyiPrasadSommerfield states. We also find an intriguing link between extremizing the entropy functional and the points on the moduli space of CalabiYau three folds which admit a “quantum deformed“ complex multiplication.
 Publication:

Physical Review D
 Pub Date:
 March 2006
 DOI:
 10.1103/PhysRevD.73.066010
 arXiv:
 arXiv:hepth/0509109
 Bibcode:
 2006PhRvD..73f6010G
 Keywords:

 11.25.Mj;
 04.70.s;
 Compactification and fourdimensional models;
 Physics of black holes;
 High Energy Physics  Theory
 EPrint:
 25 pages, 2 figures, harvmac, v.2: sign error in the large complex structure example corrected