Mirror symmetry for topological sigma models with generalized Kahler geometry

TL;DR

This paper constructs an explicit mirror map for topological sigma models with generalized Kahler geometry, demonstrating the mirror symmetry between A and B models and their branes, with applications to open models and brane field strengths.

Contribution

It provides the first explicit construction of mirror symmetry for topological sigma models with generalized Kahler target spaces, including open models and brane mappings.

Findings

A and B models are shown to be mirror pairs with mapped observables and anomalies.

A branes are mapped to B branes under the mirror transformation.

A relation between brane field strength and a two-vector on the mirror is established.

Abstract

We consider topological sigma models with generalized Kahler target spaces. The mirror map is constructed explicitly for a special class of target spaces and the topological A and B model are shown to be mirror pairs in the sense that the observables, the instantons and the anomalies are mapped to each other. We also apply the construction to open topological models and show that A branes are mapped to B branes. Furthermore, we demonstrate a relation between the field strength on the brane and a two-vector on the mirror manifold.