Special geometry on the moduli space for the two-moduli non-Fermat Calabi-Yau

Abstract

We clarify the recently proposed method to compute a Special Kähler metric on a Calabi-Yau complex structures moduli space that uses the fact that the moduli space is a subspace of specific Frobenius manifold. We apply this method to computing the Special Kähler metric in a two-moduli non-Fermat model which has been unknown until now.

References in corpus (5)

• Landau-Ginzburg/Calabi-Yau correspondence, global mirror symmetry and Orlov equivalence
• Periods for Calabi--Yau and Landau--Ginzburg Vacua
• Minimal Liouville Gravity correlation numbers from Douglas string equation
• Unitary Minimal Liouville Gravity and Frobenius Manifolds
• Flat coordinates for Saito Frobenius manifolds and String theory

Cited by in corpus (8)

• The Refined Swampland Distance Conjecture in Calabi-Yau Moduli Spaces
• Special geometry on the 101 dimesional moduli space of the quintic threefold
• Exact computation of the Special geometry for Calabi-Yau hypersurfaces of Fermat type
• Partition functions of $\mathcal{N}=(2,2)$ supersymmetric sigma models and Special geometry for the two-moduli non-Fermat Calabi-Yau manifold
• GLSM for Calabi-Yau Manifolds of Berglund-Hubsch Type
• On Calabi-Yau manifolds in weighted projective spaces and their mirror GLSMs
• Special geometry on Calabi--Yau moduli spaces and $Q$--invariant Milnor rings
• Coincidences between Calabi-Yau manifolds of Berglund-Hubsch type and Batyrev polytopes