Reducible higher-spin multiplets in flat and AdS spaces and their geometric frame-like formulation

TL;DR

This paper develops a geometric, frame-like formulation for reducible higher-spin multiplets in flat and AdS spaces, connecting string-inspired triplet fields to higher-spin geometric variables and constructing gauge-invariant actions.

Contribution

It introduces a new geometric framework for higher-spin triplets, explicitly relating fields to vielbeins and connections, and constructs gauge-invariant actions in various backgrounds.

Findings

Explicit relationship between triplet fields and geometric variables

Gauge-invariant actions for higher-spin triplets in flat and AdS spaces

Extension to fermionic higher-spin fields in AdS_D

Abstract

We consider the frame-like formulation of reducible sets of totally symmetric bosonic and fermionic higher-spin fields in flat and AdS backgrounds of any dimension, that correspond to so-called higher-spin triplets resulting from the string-inspired BRST approach. The explicit relationship of the fields of higher-spin triplets to the higher-spin vielbeins and connections is found. The gauge invariant actions are constructed including, in particular, the reducible (i.e. triplet) higher-spin fermion case in AdS_D space.