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• W3105019104 abstract "We study the statistics of the metric on Kähler moduli space in compactifications of string theory on Calabi-Yau hypersurfaces in toric varieties. We find striking hierarchies in the eigenvalues of the metric and of the Riemann curvature contribution to the Hessian matrix: both spectra display heavy tails. The curvature contribution to the Hessian is non-positive, suggesting a reduced probability of metastability compared to cases in which the derivatives of the Kähler potential are uncorrelated. To facilitate our analysis, we have developed a novel triangulation algorithm that allows efficient study of hypersurfaces with h 1,1 as large as 25, which is difficult using algorithms internal to pack-ages such as Sage. Our results serve as input for statistical studies of the vacuum structure in flux compactifications, and of the distribution of axion decay constants in string theory." @default.
• W3105019104 created "2020-11-23" @default.
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• W3105019104 date "2014-10-01" @default.
• W3105019104 modified "2023-10-02" @default.
• W3105019104 title "Heavy tails in Calabi-Yau moduli spaces" @default.
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• W3105019104 doi "https://doi.org/10.1007/jhep10(2014)187" @default.
• W3105019104 hasPublicationYear "2014" @default.
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