On the higher-spin charges of conical defects

TL;DR

This paper proves that higher-spin charges of conical defect solutions in 2+1D AdS higher-spin gauge theories match the dual CFT primary fields, confirming a key aspect of the holographic correspondence.

Contribution

It provides a proof that all higher-spin charges of conical defects correspond to dual CFT primary fields, confirming the holographic duality in this context.

Findings

Higher-spin charges match between bulk and boundary theories

Confirms the holographic correspondence for conical defects

Supports the conjecture relating conical defects to primary fields

Abstract

The conical defect solutions in higher-spin gauge theories on 2+1 dimensional space-times with AdS-asymptotics are conjectured to correspond to certain primary fields in the dual conformal field theory on the boundary. In this note we prove that indeed all higher-spin charges match.