Mirror symmetry and T-duality in the complement of an anticanonical divisor

TL;DR

This paper investigates the relationship between mirror symmetry and T-duality in the geometry of moduli spaces of special Lagrangian submanifolds, highlighting quantum corrections in the complement of an anticanonical divisor.

Contribution

It provides a detailed analysis of how T-duality relates to mirror symmetry in specific geometric settings, emphasizing the role of quantum corrections.

Findings

T-duality and mirror symmetry are interconnected in the studied moduli spaces.

Quantum corrections are essential in understanding the mirror symmetry in this context.

Concrete examples illustrate the geometric and physical implications of these dualities.

Abstract

We study the geometry of complexified moduli spaces of special Lagrangian submanifolds in the complement of an anticanonical divisor in a compact Kahler manifold. In particular, we explore the connections between T-duality and mirror symmetry in concrete examples, and show how quantum corrections arise in this context.