Generalized Poisson sigma models

TL;DR

This paper introduces a comprehensive master action framework using superfields that generates a wide class of generalized Poisson sigma models, extending previous models to include Dirac brackets.

Contribution

It presents a unified superfield-based master action that encompasses both Poisson and Dirac bracket sigma models, broadening the scope of existing models.

Findings

Unified superfield master action for generalized Poisson sigma models

Extension to models with Dirac brackets

Connection to Cattaneo and Felder's sigma model

Abstract

A general master action in terms of superfields is given which generates generalized Poisson sigma models by means of a natural ghost number prescription. The simplest representation is the sigma model considered by Cattaneo and Felder. For Dirac brackets considerably more general models are generated.