Topological twisted sigma model with H-flux revisited

TL;DR

This paper revisits the topological twisted sigma model with H-flux, analyzing its Lagrangian, topological features, and dependence on generalized complex structures and B-field.

Contribution

It explicitly expands and twists the worldsheet Lagrangian for bi-Hermitian geometry, clarifying the topological structure and dependence on geometric data.

Findings

The action contains a BRST exact term and pullback terms.

The model depends only on one generalized complex structure and the B-field.

The topological features of the model are characterized explicitly.

Abstract

In this paper we revisit the topological twisted sigma model with H-flux. We explicitly expand and then twist the worldsheet Lagrangian for bi-Hermitian geometry. we show that the resulting action consists of a BRST exact term and pullback terms, which only depend on one of the two generalized complex structures and the B-field. We then discuss the topological feature of the model.