Superfield algorithms for topological field theories

TL;DR

This paper introduces a superfield algorithm to construct master actions for gauge and topological field theories in any dimension, generalizing previous 2D methods and enabling new models like generalized Poisson sigma models.

Contribution

It presents a novel superfield algorithm for master actions applicable to a broad class of gauge theories, extending previous 2D approaches to arbitrary dimensions.

Findings

Constructed master actions for topological theories in any dimension.

Derived generalized Poisson sigma models using the algorithm.

Applied the method to models including the Chern-Simons theory.

Abstract

A superfield algorithm for master actions of a class of gauge field theories including topological ones in arbitrary dimensions is presented generalizing a previous treatment in two dimensions. General forms for master actions in superspace are given, and possible theories are determined by means of a ghost number prescription and the master equations. The resulting master actions determine the original actions together with their gauge invariances. Generalized Poisson sigma models in arbitrary dimensions are constructed by means of this algorithm, and other applications in low dimensions are given including the Chern-Simon model.