Taxonomy of Flux Vacua.

Giryavets, A. ; Kachru, S. ; Tripathy, P. K.

Technical Information Center Oak Ridge Tennessee

关键词: Flux density;    Vacuum states;    Calculation methods;    Curvature;    Hypersurfaces;   

RP-ID  :  DE2004826916

学科分类：工程和技术（综合）

美国|英语

来源: National Technical Reports Library

【 摘 要 】

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(sub 1,1,1,1,4) (sup 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 Kaehler 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.