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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.

Details

Title
Numerical metrics, curvature expansions and Calabi-Yau manifolds
Author
Cui, Wei 1 ; Gray, James 1 

 Robeson Hall, Virginia Tech, Department of Physics, Blacksburg, U.S.A. (GRID:grid.438526.e) (ISNI:0000 0001 0694 4940) 
Publication year
2020
Publication date
May 2020
Publisher
Springer Nature B.V.
e-ISSN
10298479
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
2400892457
Copyright
© The Author(s) 2020.