Complete BFT Embedding of Massive Theory with One- and Two-form Gauge Fields

TL;DR

This paper analyzes the constraint structure of a topologically massive gauge theory with one- and two-form fields, deriving a new Wess-Jumino action and St"uckelberg action through Batalin-Fradkin-Tyutin embedding.

Contribution

It introduces a novel Wess-Jumino action with unique symmetry and clarifies the gauge structure of massive theories with topological couplings using the BFT embedding.

Findings

Derived a new Wess-Jumino action with unique symmetry.

Established a St"uckelberg action for gauge-breaking mass terms.

Provided insight into the constraint structure of topologically massive theories.

Abstract

We study the constraint structure of the topologically massive theory with one- and two-form fields in the framework of Batalin-Fradkin-Tyutin embedding procedure. Through this analysis we obtain a new type of Wess-Jumino action with novel symmetry, which is originated from the topological coupling term, as well as the St\"uckelberg action related to the explicit gauge breaking mass terms from the original theory.