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arxiv 2411.00962 v1 pith:YVBKLWSA submitted 2024-11-01 hep-th

Kit Fraser-Taliente , Thomas R. Harvey , Manki Kim This is my paper · ORCID
classification hep-th
keywords stringmetricsalphaapproximationcalabi-yaucompactificationsconsidercontext
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

In order to be in control of the $\alpha'$ derivative expansion, geometric string compactifications are understood in the context of a large volume approximation. In this letter, we consider the reduction of these higher derivative terms, and propose an improved estimate on the large volume approximation using numerical Calabi-Yau metrics obtained via machine learning methods. Further to this, we consider the $\alpha'^3$ corrections to numerical Calabi-Yau metrics in the context of IIB string theory. This correction represents one of several important contributions for realistic string compactifications -- alongside, for example, the backreaction of fluxes and local sources -- all of which have important consequences for string phenomenology. As a simple application of the corrected metric, we compute the change to the spectrum of the scalar Laplacian.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Balanced Metrics Know About SYZ

    hep-th 2026-07 conditional novelty 6.0 of 10

    Ambient balanced metric coefficients on Calabi-Yau manifolds decay as |ψ|^{-f(α)} near the large complex structure limit, and the exponent function's Legendre transform gives the dual tropical potential expected from SYZ.

  2. Ricci-Flat Mirror Hypersurfaces in Spaces of General Type

    hep-th 2025-01 conditional novelty 5.0 of 10

    Laurent-polynomial anticanonical sections can smooth Calabi-Yau hypersurfaces in general-type toric/torus manifolds and yield transposition mirrors with computable GLSM data.

  3. What to do with a Ricci-flat Calabi--Yau metric?

    hep-th 2026-05 unverdicted novelty 3.0 of 10

    Numerical Ricci-flat Calabi–Yau metrics turn string compactifications from topological existence statements into computable geometries, unlocking normalized couplings, spectra, and metric-level tests of mirror symmetry.

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