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Unfolding Mixed-Symmetry Fields in AdS and the BMV Conjecture: I. General Formalism

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arxiv 0812.3615 v2 pith:ZJRRML6Y submitted 2008-12-18 hep-th

classification hep-th
keywords backgroundsconjecturefieldsgeneralmixed-symmetrymodulesunfoldedweyl
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We present some generalities of unfolded on-shell dynamics that are useful in analysing the BMV conjecture for mixed-symmetry fields in constantly curved backgrounds. In particular we classify the Lorentz-covariant Harish-Chandra modules generated from primary Weyl tensors of arbitrary mass and shape, and in backgrounds with general values of the cosmological constant. We also discuss the unfolded notion of local degrees of freedom in theories with and without gravity and with and without massive deformation parameters, using the language of Weyl zero-form modules and their duals.

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Cited by 2 Pith papers

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  1. On consistency of the interacting (anti)holomorphic higher-spin sector

    hep-th 2025-05 conditional novelty 6.0 of 10

    A. V. Korybut proves that Didenko's generating system for (anti)holomorphic higher-spin vertices is dx-consistent despite the failure of the Leibniz rule, using new star-exchange-like identities for the limiting star product.

  2. De Sitter Representations

    hep-th 2026-06 unverdicted

    Review of so(1,D) representations for de Sitter space across all D, covering mixed symmetry and fermions, connected to propagating fields.

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