On the Taxonomy of Flux Vacua

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 WP⁴_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 det(-R-omega) where R and omega are curvature and Kähler forms on the moduli space. The conifold point psi = 1 on moduli space therefore serves as an attractor, with a significant fraction of the flux vacua contained in a small neighborhood surrounding psi = 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.