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On the Taxonomy of Flux Vacua

A. Giryavets·S. Kachru·P. K. Tripathy
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Abstract

We investigate several predictions about the properties of IIB flux vacua on Calabi-Yau orientifolds, by constructing and characterizing a very large set of vacua in a specific example, an orientifold of the Calabi-Yau hypersurface in $WP^{4}_{1,1,1,1,4}$. We find support for the prediction of Ashok and Douglas that the density of vacua on moduli space is governed by ${\rm det}(-R - ω)$ where $R$ and $ω$ are curvature and Kähler forms on the moduli space. The conifold point $ψ=1$ on moduli space therefore serves as an attractor, with a significant fraction of the flux vacua contained in a small neighborhood surrounding $ψ=1$. We also study the functional dependence of the number of flux vacua on the D3 charge in the fluxes, finding simple power law growth.

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A. Giryavets, S. Kachru, P. K. Tripathy. 2004-07-23. On the Taxonomy of Flux Vacua. https://doi.org/10.1088/1126-6708%2F2004%2F08%2F002

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