Unified BRST approach to (partially) massless and massive AdS fields of arbitrary symmetry type

TL;DR

This paper develops a unified, gauge-invariant BRST formalism for describing bosonic AdS fields of any symmetry type, encompassing massless, partially massless, and massive cases, with connections to unfolded formulations.

Contribution

It introduces a concise, local first-order BRST approach for AdS fields of arbitrary symmetry, unifying various descriptions and enabling derivation of other formulations.

Findings

Constructed a gauge-invariant formulation for AdS fields of arbitrary symmetry.

Established a relation between BRST and unfolded descriptions.

Provided a parent-like formulation for generating different models.

Abstract

We construct a concise gauge invariant formulation for massless, partially massless, and massive bosonic AdS fields of arbitrary symmetry type at the level of equations of motion. Our formulation admits two equivalent descriptions: in terms of the ambient space and in terms of an appropriate vector bundle, as an explicitly local first-order BRST formalism. The second version is a parent-like formulation that can be used to generate various other formulations via equivalent reductions. In particular, we demonstrate a relation to the unfolded description of massless and partially massless fields.