Disk Amplitudes in Topological A-Model on Calabi-Yau Spaces and Fano Manifolds

TL;DR

This paper explores topological A-model disk amplitudes on Calabi-Yau and Fano manifolds, utilizing mirror symmetry and fusion relations to compute holomorphic instantons and analyze boundary effects.

Contribution

It introduces methods to calculate disk amplitudes in Calabi-Yau and Fano manifolds, advancing understanding of open string instantons and boundary operator interactions.

Findings

Computed holomorphic instantons in Calabi-Yau spaces

Analyzed fusion relations in Fano manifolds

Enhanced techniques for topological string amplitude calculations

Abstract

We study topological A-model disk amplitudes with Calabi-Yau target spaces by mirror symmetries. This allows us to calculate holomorphic instantons of Riemann surfaces with boundaries that are mapped into susy cycles in Calabi-Yau d-folds. Also we analyse disk amplitudes in Fano manifold cases by considering fusion relations between A-model operators.