Superfield Approach to Nilpotent Symmetries of the Freedman-Townsend Model: Novel Features

TL;DR

This paper applies an advanced superfield BRST approach to analyze the Freedman-Townsend model, revealing novel features and deriving comprehensive symmetry transformations that differ from previous studies on similar non-Abelian theories.

Contribution

It introduces a new application of the augmented superfield approach to derive off-shell nilpotent BRST symmetries for the FT model, highlighting features not seen in earlier analyses.

Findings

Derived full set of off-shell nilpotent BRST symmetries

Identified novel features distinct from previous models

Compared results with existing BRST analyses

Abstract

We perform the Becchi-Rouet-Stora-Tyutin (BRST) analysis of the Freedman-Townsend (FT) model of topologically massive non-Abelian theory by exploiting its (1-form) Yang-Mills (YM) gauge transformations to show the existence of some novel features that are totally different from the results obtained in such a kind of consideration carried out for the dynamical non-Abelian 2-form theory. We tap here the potential and power of the "augmented" version of Bonora-Tonin's superfield approach to BRST formalism to derive the full set of off-shell nilpotent and absolutely anticommuting (anti-)BRST symmetry transformations where, in addition to the horizontality condition (HC), we are theoretically compelled to exploit the appropriate gauge-invariant restrictions (GIRs) on the (super)fields for the derivation of the appropriate symmetry transformations for all the relevant fields. We compare our key results with that of the other such attempt for the discussion of the present model within the framework of BRST formalism.