Chiral higher-spin holography in flat space: the Flato-Fronsdal theorem and lower-point functions

TL;DR

This paper establishes a flat space version of the Flato-Fronsdal theorem, linking singleton representations to higher-spin fields and deriving scattering amplitudes consistent with chiral higher-spin theory.

Contribution

It introduces the flat space analogue of the Flato-Fronsdal theorem and constructs explicit two- and three-point scattering amplitudes for higher-spin fields.

Findings

Derived a kernel linking singleton representations to higher-spin fields in flat space

Constructed two-point functions of flat space singletons

Produced scattering amplitudes matching chiral higher-spin theory

Abstract

We prove the flat space analogue of the Flato-Fronsdal theorem. It features the flat space singleton representation suggested recently. We do that by deriving a kernel that intertwines a pair of singleton representations with massless higher-spin fields in flat space. Next, we derive two-point functions of flat space singletons, which are then used to construct two- and three-point scattering amplitudes in the dual theory of massless higher-spin fields. These amplitudes agree with amplitudes in the chiral higher-spin theory.