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arXiv · 2503.05948

Linearized Coxeter Higher-Spin Theories

A. A. Tarusov·K. A. Ushakov·M. A. Vasiliev
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Abstract

A class of higher-spin gauge theories on $AdS_4$ associated with various Coxeter groups $\mathcal{C}$ is analyzed at the linear order. For a general $\mathcal{C}$, a solution corresponding to the $AdS_4$ 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.

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A. A. Tarusov, K. A. Ushakov, M. A. Vasiliev. 2025-03-07. Linearized Coxeter Higher-Spin Theories. https://doi.org/10.1007/jhep08(2025)052

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