Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-04-29
JHEP 0408:002,2004
Physics
High Energy Physics
High Energy Physics - Theory
22 pages, harvmac; v2 typos corrected, refs added; v3 minor error corrected
Scientific paper
10.1088/1126-6708/2004/08/002
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 ${\rm det}(-R - \omega)$ where $R$ and $\omega$ are curvature and K\"ahler 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.
Giryavets Alexander
Kachru Shamit
Tripathy Prasanta K.
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