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Periods for Calabi--Yau and Landau--Ginzburg Vacua

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arxiv hep-th/9308005 v2 pith:K4CREODC submitted 1993-08-02 hep-th

classification hep-th
keywords periodscertainassociatedcalabi--yaucalculablecalledclassescompactification
verification ladder T0 review T1 audit T2 compute T3 formal
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The complete structure of the moduli space of \cys\ and the associated Landau-Ginzburg theories, and hence also of the corresponding low-energy effective theory that results from (2,2) superstring compactification, may be determined in terms of certain holomorphic functions called periods. These periods are shown to be readily calculable for a great many such models. We illustrate this by computing the periods explicitly for a number of classes of \cys. We also point out that it is possible to read off from the periods certain important information relating to the mirror manifolds.

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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. Beyond Algebraic Superstring Compactification

    hep-th 2025-02 conditional novelty 5.0 of 10

    Calabi-Yau compactifications and mirror symmetry are conjecturally extended to non-algebraic toric spaces using Laurent deformations and the 'intrinsic limit' completion.

  2. Beyond Algebraic Solutions to Stringy Spacetime

    hep-th 2026-05 unverdicted novelty 3.0 of 10

    Generalizations beyond algebraic geometry in string theory remain aligned with mirror symmetry, support quantitative analysis, and point to deeper symplectic geometry connections.

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