Massless Higher Spin Fields in the AdS Background and BRST Constructions for Nonlinear Algebras

TL;DR

This paper develops a method to construct nilpotent BRST charges for nonlinear constraint algebras in massless higher spin fields on AdS backgrounds, showing the ambiguity does not affect physical results.

Contribution

It introduces a systematic approach for constructing BRST charges in nonlinear algebras relevant to higher spin theories in AdS space.

Findings

BRST charge construction method for nonlinear algebras

Ambiguity in BRST charge does not alter physical content

Framework applicable to massless higher spin fields in AdS

Abstract

The detailed description of the method of the construction of the nilpotent BRST charges for nonlinear algebras of constraints appearing in the description of the massless higher spin fields on the $AdS_D$ background is presented. It is shown that the corresponding BRST charge is not uniquely defined, but this ambiguity has no impact on the physical content of the theory.