Special geometry on the 101 dimesional moduli space of the quintic threefold

Abstract

A new method for explicit computation of the CY moduli space metric was proposed by the authors recently. The method makes use of the connection of the moduli space with a certain Frobenius algebra. Here we clarify this approach and demonstrate its efficiency by computing the Special geometry of the 101-dimensional moduli space of the quintic threefold around the orbifold point.

We made exposition more clear, in particular we explained how to generalize our ideas

References in corpus (3)

• A new approach for computing the geometry of the moduli spaces for a Calabi-Yau manifold
• Special geometry on the moduli space for the two-moduli non-Fermat Calabi-Yau
• Flat structures on the deformations of Gepner chiral rings

Cited by in corpus (8)

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• Calabi-Yau CFTs and Random Matrices
• Exact computation of the Special geometry for Calabi-Yau hypersurfaces of Fermat type
• 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
• On Calabi-Yau manifolds in weighted projective spaces and their mirror GLSMs
• The Implications of N = 2 Supergravity Cosmology On the Topology of the Calabi-Yau Manifold