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

TL;DR

This paper introduces a new method leveraging Frobenius algebra to explicitly compute the special geometry of the 101-dimensional moduli space of the quintic threefold, demonstrating its effectiveness near the orbifold point.

Contribution

It clarifies and applies a novel approach to compute the moduli space metric of Calabi-Yau threefolds using Frobenius algebra connections.

Findings

Successful computation of the moduli space metric near the orbifold point

Validation of the method's efficiency and accuracy

Enhanced understanding of the special geometry structure

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.