A construction of observables for AKSZ sigma models

TL;DR

This paper proposes a method to construct gauge-invariant observables for AKSZ sigma-models, a class of topological field theories, by extending the target Q-manifold to a Q-bundle with extra Hamiltonian structure.

Contribution

It introduces a novel construction of observables for AKSZ sigma-models using extensions of the target Q-manifold to a Q-bundle with Hamiltonian fibers.

Findings

Provides a systematic way to generate gauge-invariant observables

Extends the mathematical framework of AKSZ models

Facilitates analysis of topological field theories

Abstract

A construction of gauge-invariant observables is suggested for a class of topological field theories, the AKSZ sigma-models. The observables are associated to extensions of the target Q-manifold of the sigma model to a Q-bundle over it with additional Hamiltonian structure in fibers.