Solving the Noether procedure for cubic interactions of higher spins in (A)dS

TL;DR

This paper develops a systematic method to derive cubic interactions of higher-spin fields in (A)dS spaces using the Noether procedure, advancing the understanding of consistent higher-spin interactions.

Contribution

It provides a systematic approach to derive cubic higher-spin interactions in (A)dS backgrounds via the Noether procedure, extending previous methods.

Findings

Derived explicit cubic interaction vertices for higher spins in (A)dS.

Established a systematic framework for higher-spin interaction construction.

Enhanced the understanding of consistent higher-spin theories in curved backgrounds.

Abstract

The Noether procedure represents a perturbative scheme to construct all possible consistent interactions starting from a given free theory. In this note we describe how cubic interactions involving higher spins in any constant-curvature background can be systematically derived within this framework.