Counting flux vacua

  title={Counting flux vacua},
  author={Sujay K. Ashok and Michael R. Douglas},
  journal={Journal of High Energy Physics},
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 b 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. 
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