Coupling coefficient in three dimensional higher spin holography

TL;DR

This paper computes the coupling coefficient in three-dimensional higher spin holography by analyzing linearized Vasiliev's equations and relating them to metric formulation results, confirming consistency for the spin three case.

Contribution

It provides a novel calculation of the coupling coefficient in 3D higher spin holography using linearized Vasiliev's equations and metric formulation comparison.

Findings

Coupling coefficient matches previous spin three results.

Method confirms consistency between Vasiliev's equations and metric formulation.

Supports the validity of higher spin holographic correspondence in 3D.

Abstract

We consider linearised Vasiliev's equations around the background AdS field in three dimensions for the scalar-scalar-higher spin field correlation function. Relating this with the higher spin field determined in the metric formulation allows determination of the corresponding coupling coefficient. The result agrees with the analogous computation for the spin three field.