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Calabi-Yau metrics and string compactification

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arxiv 1503.02899 v2 pith:Z4IQVHKA submitted 2015-03-10 hep-th math.DG

Michael R. Douglas This is my paper · ORCID
classification hep-thmath.DG
keywords expressionsmetricsahleranalyticalapproximatecalabi-yauclosedcompactification
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Yau proved an existence theorem for Ricci-flat K\"ahler metrics in the 1970's, but we still have no closed form expressions for them. Nevertheless there are several ways to get approximate expressions, both numerical and analytical. We survey some of this work and explain how it can be used to obtain physical predictions from superstring theory.

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  1. Dimensional Reduction and K\"ahler Metric for Metric Moduli in Imaginary Self-Dual Flux

    hep-th 2025-01 conditional novelty 7.0 of 10

    A 10D supergravity reduction derives the 4D moduli space metric for Kähler moduli and, for the first time, for complex structure flat directions in warped type IIB flux compactifications.

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