On the taxonomy of flux vacua

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Published 23 September 2004 Published under licence by IOP Publishing Ltd
, , Citation Alexander Giryavets et al JHEP08(2004)002 DOI 10.1088/1126-6708/2004/08/002

1126-6708/2004/08/002

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 WP41,1,1,1,4. We find support for the prediction of Ashok and Douglas that the density of vacua on moduli space is governed by 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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