# An Alternative Topological Field Theory of Generalized Complex Geometry

**Authors:** Noriaki Ikeda, Tatsuya Tokunaga

arXiv: 0704.1015 · 2008-11-26

## TL;DR

This paper introduces a novel topological field theory based on generalized complex geometry, extending existing models by utilizing AKSZ formulation to unify symplectic and complex structures.

## Contribution

It presents a new topological field theory that generalizes Zucchini's model, incorporating both symplectic and complex structures within the AKSZ framework.

## Key findings

- New topological field theory for generalized complex geometry
- Unifies A and B models as special cases
- Provides a framework for future geometric and physical applications

## Abstract

We propose a new topological field theory on generalized complex geometry in two dimension using AKSZ formulation. Zucchini's model is $A$ model in the case that the generalized complex structuredepends on only a symplectic structure. Our new model is $B$ model in the case that the generalized complex structure depends on only a complex structure.

## Full text

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## References

43 references — full list in the complete paper: https://tomesphere.com/paper/0704.1015/full.md

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Source: https://tomesphere.com/paper/0704.1015