Description of the higher massless irreducible integer spins in the BRST approach

TL;DR

This paper applies the BRST approach to describe massless higher spin representations of the Poincare group in various dimensions, handling complex constraints with a nilpotent BRST charge.

Contribution

It develops a method to incorporate both first and second class constraints in the BRST framework for higher spin massless particles.

Findings

Constructed a nilpotent BRST charge with terms up to seventh degree in ghosts.

Extended the BRST formalism to arbitrary dimensions for higher spin fields.

Provided a systematic approach to irreducible massless higher spin representations.

Abstract

The BRST approach is applied to the description of irreducible massless higher spins representations of the Poincare group in arbitrary dimensions. The total system of constraints in such theory includes both the first and the second class constraints. The corresponding nilpotent BRST charge contains terms up to the seventh degree in ghosts.