Feynman rules for higher-spin gauge fields on AdS$_{d+1}$

TL;DR

This paper derives Feynman rules, propagators, and ghost contributions for the cubic order quantization of minimal type A higher-spin gauge theory on AdS$_{d+1}$, facilitating its quantum analysis.

Contribution

It provides the first complete set of Feynman rules, propagators, and ghost terms for quantizing higher-spin gauge fields on AdS at cubic order.

Findings

Established the quantum action at cubic order in de Donder gauge.

Derived full propagators for higher-spin fields and ghosts.

Enabled future perturbative calculations in higher-spin theories.

Abstract

We determine the Feynman rules for the minimal type A higher-spin gauge theory on AdS$_{d+1}$ at cubic order. In particular, we establish the quantum action at cubic order in de Donder gauge, including ghosts. We also give the full de Donder gauge propagators of higher-spin gauge fields and their ghosts. This provides all ingredients needed to quantise the theory at cubic order.