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SYZ geometry for Calabi-Yau 3-folds: Taub-NUT and Ooguri-Vafa type metrics

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arxiv 1902.08770 v1 pith:IWWTG4TY submitted 2019-02-23 math.DG math.AG

Yang Li This is my paper · ORCID
classification math.DGmath.AG
keywords calabi-yaumetricanalogousconstructfamilymetricsooguri-vafaproperties
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abstract

We construct a family of Calabi-Yau metrics on $\C^3$ with properties analogous to the Taub-NUT metric on $\C^2$, and construct a family of Calabi-Yau 3-fold metric models on the positive and negative vertices of SYZ fibrations with properties analogous to the Ooguri-Vafa metric.

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Cited by 2 Pith papers

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

  1. Special Holonomy Manifolds, Domain Walls, Intersecting Branes and T-folds

    hep-th 2019-08 conditional novelty 6.0 of 10

    The Gibbons-Lu-Pope-Stelle special holonomy domain wall metrics are T-dual to intersecting brane systems, yielding new multi-function special holonomy metrics and T-fold backgrounds.

  2. 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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