Unfolding mixed-symmetry fields in AdS and the BMV conjecture: I. General formalism

2008/12/31 by Nicolas Boulanger, Carlo Iazeolla, Per Sundell · 7 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Combinatorics #Conjecture #Cosmology and Gravitation Theories #Counterexample #Covariant transformation #Dual polyhedron #Formalism (music) #Lorentz transformation #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Theoretical physics #hep-th

paper · pdf · doi:10.1088/1126-6708/2009/07/013

published as JHEP 0907:013,2009 · Corrected typos, references added, two figures, some remarks and two subsections added for clarity

arxiv created 2009/04/23 · openalex publication_date 2009/07/03 · arxiv updated 2009/12/01 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05

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.

Citations

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Cited by

• Unfolding Mixed-Symmetry Fields in AdS and the BMV Conjecture: II. Oscillator Realization
• On massive spin 2 electromagnetic interactions
• Continuous spin fields of mixed-symmetry type
• Bosonic conformal higher-spin fields of any symmetry
• The Schouten tensor as a connection in the unfolding of 3D conformal higher-spin fields
• BRST-BV approach to cubic interaction vertices for massive and massless higher-spin fields
• Supersymmetric Poisson and Poisson-supersymmetric sigma models