2003/07/31 by Sujay Ashok, Michael R. Douglas · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1088/1126-6708/2004/01/060
published as JHEP 0401:060,2004 · 48 pages, harvmac
arxiv created 2004/01/12 · arxiv updated 2010/12/03
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 Calabi-Yau compactification of type IIb 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 b3.