Linearized Coxeter Higher-Spin Theories

Abstract

A class of higher-spin gauge theories on $Ad{S}_4$ associated with various Coxeter groups $\mathcal{C}$ is analyzed at the linear order. For a general $\mathcal{C}$, a solution corresponding to the $Ad{S}_4$ space and the form of the free unfolded equations are established. A disentanglement criterion has been formulated for Coxeter HS modules. The shifted homotopy technique is uplifted to the general Coxeter HS models. In case of the Coxeter group $B_2$ classification of unitary HS modules and a consistent truncation to them are determined, the dynamical content is discussed briefly.

V2. Minor corrections: clarifications and acknowledgements added; V3. Typos corrected, clarifications and references added. Matches the published version