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Linearized Coxeter Higher-Spin Theories

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arxiv 2503.05948 v3 pith:XQOHRVCO submitted 2025-03-07 hep-th

classification hep-th
keywords coxetergeneralhigher-spinmathcalmodulestheoriesanalyzedassociated
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Unfolded hypermultiplet in harmonic superspace

    hep-th 2026-03 unverdicted novelty 7.0 of 10

    A single unfolded first-order system reproduces the massless hypermultiplet in harmonic, N=2, N=1, and Minkowski formulations.

  2. On symmetry breaking in the self-dual higher-spin theory

    hep-th 2025-09 conditional novelty 6.0 of 10

    In the self-dual higher-spin theory, a scalar vacuum that breaks AdS symmetry to 3D Poincaré makes all higher-spin gauge fields decouple except spin one, and makes higher-spin currents non-conserved except the spin-on...

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