Counting flux vacua

DOI10.1088/1126-6708/2004/01/060zbMATH Open1243.83060arXivhep-th/0307049OpenAlexW3106019322MaRDI QIDQ438255

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Publication date: 30 July 2012

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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 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.

Full work available at URL: https://arxiv.org/abs/hep-th/0307049

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