The biHermitian topological sigma model

TL;DR

This paper constructs and analyzes the topological sigma models of type A and B on biHermitian target spaces, providing explicit actions, BRST transformations, and insights into their geometric and physical properties.

Contribution

It extends the topological sigma model framework to general biHermitian geometries, detailing the explicit form of actions and transformations for the first time.

Findings

Derived explicit actions for topological sigma models on biHermitian spaces

Computed BRST transformations and topological gauge fermions

Established a foundation for further study of biHermitian topological theories

Abstract

BiHermitian geometry, discovered long ago by Gates, Hull and Roceck, is the most general sigma model target space geometry allowing for (2,2) world sheet supersymmetry. By using the twisting procedure proposed by Kapustin and Li, we work out the type A and B topological sigma models for a general biHermtian target space, we write down the explicit expression of the sigma model's action and BRST transformations and present a computation of the topological gauge fermion and the topological action.