Numerical metrics, curvature expansions and Calabi-Yau manifolds
Files
TR Number
Date
2020-05-11
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
We discuss the extent to which numerical techniques for computing approximations to Ricci-flat metrics can be used to investigate hierarchies of curvature scales on Calabi-Yau manifolds. Control of such hierarchies is integral to the validity of curvature expansions in string effective theories. Nevertheless, for seemingly generic points in moduli space it can be difficult to analytically determine if there might be a highly curved region localized somewhere on the Calabi-Yau manifold. We show that numerical techniques are rather efficient at deciding this issue.
Description
Keywords
Differential and Algebraic Geometry, Superstring Vacua