Superfield algorithm for higher order gauge field theories

TL;DR

This paper introduces a superfield algorithm within the Batalin-Vilkovisky formalism to construct higher order gauge field theories, broadening applicability to non-topological and topological cases with concrete examples.

Contribution

It generalizes the superfield algorithm for gauge theories, enabling the construction of both topological and non-topological higher order gauge field theories.

Findings

Developed a generalized superfield algorithm for gauge theories.

Applied the algorithm to five-dimensional non-abelian Chern-Simons theory.

Analyzed topological Yang-Mills theory as an example.

Abstract

We propose an algorithm for the construction of higher order gauge field theories from a superfield formulation within the Batalin-Vilkovisky formalism. This is a generalization of the superfield algorithm recently considered by Batalin and Marnelius. This generalization seems to allow for non-topological gauge field theories as well as alternative representations of topological ones. A five dimensional non-abelian Chern-Simons theory and a topological Yang-Mills theory are treated as examples.