Towards higher-spin holography in ambient space of any dimension

TL;DR

This paper develops a new method to derive higher-spin field propagators in arbitrary-dimensional anti-de Sitter space using ambient space techniques, simplifying calculations and connecting boundary correlators with bulk propagators.

Contribution

It introduces a differential-equation-free approach to construct higher-spin propagators in AdS using ambient space, applicable to any dimension.

Findings

Derived explicit propagators for higher-spin fields in AdS of any dimension

Established a direct link between boundary two-point functions and bulk propagators

Simplified the construction process using ambient space formalism

Abstract

We derive the propagators for higher-spin master fields in anti-de Sitter space of arbitrary dimension. A method is developed to construct the propagators directly without solving any differential equations. The use of the ambient space, where AdS is represented as a hyperboloid and its conformal boundary as a projective light-cone, simplifies the approach and makes a direct contact between boundary-to-bulk propagators and two-point functions of conserved currents.