Cubic Interactions of Bosonic Higher Spin Gauge Fields in $AdS_5$

TL;DR

This paper reformulates the dynamics of symmetric massless higher spin fields in $AdS_5$, identifying the algebraic structure and formulating cubic interactions including gravity at the action level.

Contribution

It introduces a new formulation of higher spin interactions in $AdS_5$ using the compensator formalism and star product algebra.

Findings

Identifies the $AdS_5$ higher spin algebra with star product algebra.

Formulates cubic interaction actions for bosonic higher spin fields.

Includes interaction with gravity in the formalism.

Abstract

The dynamics of totally symmetric free massless higher spin fields in $AdS_d$ is reformulated in terms of the compensator formalism for AdS gravity. The $AdS_5$ higher spin algebra is identified with the star product algebra with the $su(2,2)$ vector (i.e., $o(4,2)$ spinor) generating elements. Cubic interactions of the totally symmetric bosonic higher spin gauge fields in $AdS_5$, including the interaction with gravity, are formulated at the action level.