Cubic interactions of massless higher spins in (A)dS: metric-like approach

TL;DR

This paper derives all consistent parity-invariant cubic interaction vertices for massless higher-spin gauge fields in (A)dS spaces using a metric-like approach, emphasizing the importance of flat-space analogs.

Contribution

It provides a complete classification of cubic interactions in (A)dS for higher-spin fields in the metric-like formalism, utilizing traceless, transverse constraints and ambient-space methods.

Findings

All parity-invariant cubic vertices in (A)dS are explicitly obtained.

The flat-space counterparts play a crucial role in the (A)dS interactions.

Results are valid for dimensions greater than three.

Abstract

Cubic interactions of higher-spin gauge fields in (A)dS are studied in the metric-like approach. Making use of the traceless and transverse constraints together with the ambient-space formalism, all consistent parity-invariant cubic vertices are obtained for d>3 in closed form pointing out the key role of their flat-space counterparts.