Exact computation of the Special geometry for Calabi-Yau hypersurfaces of Fermat type

Abstract

We continue to develop our method for effectively computating the special Kähler geometry on the moduli space of Calabi-Yau manifolds. We generalize it to all polynomial deformations of Fermat hypersurfaces.

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Cited by in corpus (8)

• Moduli-dependent KK towers and the swampland distance conjecture on the quintic Calabi-Yau manifold
• Calabi-Yau CFTs and Random Matrices
• JKLMR conjecture and Batyrev construction
• Partition functions of $\mathcal{N}=(2,2)$ supersymmetric sigma models and Special geometry for the two-moduli non-Fermat Calabi-Yau manifold
• Integrable $\mathfrak{gl}(n|n)$ Toda field theory and its sigma-model dual
• On Calabi-Yau manifolds in weighted projective spaces and their mirror GLSMs
• GLSM for Calabi-Yau Manifolds of Berglund-Hubsch Type
• Coincidences between Calabi-Yau manifolds of Berglund-Hubsch type and Batyrev polytopes