A note on higher-order vertices of higher-spin fields in flat and (A)dS space

TL;DR

This paper classifies higher-order vertices of higher-spin fields in flat and (A)dS spaces, providing a comprehensive comparison and exploring dimensional identities to understand their structure and solutions.

Contribution

It offers a systematic classification of homogeneous solutions to the Noether procedure for higher-spin fields in (A)dS and flat spaces, highlighting new insights into their structure.

Findings

Classification of solutions in (A)dS space

Comparison with flat space solutions

Investigation of dimensional identities

Abstract

In this work we classify homogeneous solutions to the Noether procedure in (A)dS for an arbitrary number of external legs and in general dimensions. We also give a review of the corresponding flat space classification and its relation with the (A)dS result presented here. The role of dimensional dependent identities is also investigated.