Invariant traces of the flat space chiral higher-spin algebra as scattering amplitudes

TL;DR

This paper demonstrates that two- and three-point scattering amplitudes in flat space chiral higher-spin theory can be expressed as invariant traces of the higher-spin algebra, extending to higher points and paralleling anti-de Sitter space results.

Contribution

It introduces a novel interpretation of scattering amplitudes as invariant traces of the higher-spin algebra in flat space, connecting to holographic results from AdS space.

Findings

Two- and three-point amplitudes are invariant traces of the higher-spin algebra.

Higher-point amplitudes are constructed as traces of multiple on-shell fields.

The flat space construction parallels the anti-de Sitter space holographic framework.

Abstract

We sum up two- and three-point amplitudes in the chiral higher-spin theory over helicities and find that these quite manifestly have the form of invariant traces of the flat space chiral higher-spin algebra. We consider invariant traces of products of higher numbers of on-shell higher-spin fields and interpret these as higher-point scattering amplitudes. This construction closely mimics its anti-de Sitter space counterpart, which was considered some time ago and was confirmed holographically.