Counting flux vacua. (English) Zbl 1243.83060

Summary: 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 \(b_{3}\).


83E30 String and superstring theories in gravitational theory
32J81 Applications of compact analytic spaces to the sciences
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
Full Text: DOI arXiv


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