Counting flux vacua
Abstract
We develop a technique for computing expected numbers of vacua in gaussian ensembles of supergravity theories, and apply it to derive an asymptotic formula for the index counting all flux supersymmetric vacua with signs in CalabiYau compactification of type Bbb Ib string theory, which becomes exact in the limit of a large number of fluxes. This should give a reasonable estimate for actual numbers of vacua in string theory, for CY's with small b_{3}.
 Publication:

Journal of High Energy Physics
 Pub Date:
 January 2004
 DOI:
 10.1088/11266708/2004/01/060
 arXiv:
 arXiv:hepth/0307049
 Bibcode:
 2004JHEP...01..060A
 Keywords:

 Superstrings and Heterotic Strings Superstring Vacua Statistical Methods;
 High Energy Physics  Theory
 EPrint:
 48 pages, harvmac