Covariant action for conformal higher spin gravity

Abstract Conformal higher spin (HS) gravity is a HS extension of Weyl and family local theories, which was put forward by Segal Tseytlin. We propose manifestly covariant coordinate-independent action for these theories. The result based on an interplay between symmetries deformation quantization: locally equivalent but background-independent reformulation, known as the parent system, off-shell multiplet conformal fields (Fradkin–Tseytlin fields) can be interpreted in terms Fedosov quantization underlying cotangent bundle. This brings into game invariant quantum trace, induced Feigin–Felder–Shoikhet cocycle algebra, extends Segal’s gauge globally well-defined functional space configurations system. same understood within worldline approach correlation function topological mechanics circle.