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

Abstract

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.

Corrected typos, references added, two figures, some remarks and two subsections added for clarity

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Cited by in corpus (12)

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• Gauge fields in (anti)-de Sitter space and Connections of its symmetry algebra
• FV-type action for AdS(5) mixed-symmetry fields
• Higher spin interactions with scalar matter on constant curvature spacetimes: conserved current and cubic coupling generating functions
• On massive spin 2 electromagnetic interactions
• First order parent formulation for generic gauge field theories
• Frame-like Actions for Massless Mixed-Symmetry Fields in Minkowski space. Fermions
• Higher Spins and Open Strings: Quartic Interactions
• Lagrangian formulation of massive fermionic totally antisymmetric tensor field theory in AdS_d space
• Gauge invariant approach to low-spin anomalous conformal currents and shadow fields
• Higher spin interactions: cubic deformations on Minkowski and (Anti)de Sitter backgrounds