Reducible higher-spin multiplets in flat and AdS spaces and their geometric frame-like formulation

Abstract

We consider the frame-like formulation of reducible sets of totally symmetric bosonic and fermionic higher-spin fields in flat and AdS backgrounds of any dimension, that correspond to so-called higher-spin triplets resulting from the string-inspired BRST approach. The explicit relationship of the fields of higher-spin triplets to the higher-spin vielbeins and connections is found. The gauge invariant actions are constructed including, in particular, the reducible (i.e. triplet) higher-spin fermion case in AdS_D space.

1+49 pages, This is an essentially extended version of the contribution to the volume dedicated to the 60th birthday anniversary of Joseph Buchbinder; v2 FIAN Preprint No and references added

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• On the Tensionless Limit of String theory, Off - Shell Higher Spin Interaction Vertices and BCFW Recursion Relations
• Frame-like gauge invariant formulation for massive high spin particles
• Unconstrained Higher Spins of Mixed Symmetry. I. Bose Fields
• Bosonic conformal higher--spin fields of any symmetry
• Quartet unconstrained formulation for massless higher spin fields
• Higher-spin algebras and cubic interactions for simple mixed-symmetry fields in AdS spacetime
• On higher spin interactions with matter
• Maxwell-like Lagrangians for higher spins
• Frame-like Actions for Massless Mixed-Symmetry Fields in Minkowski space
• Cubic interactions of Maxwell-like higher spins
• 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
• Toward frame-like gauge invariant formulation for massive mixed symmetry bosonic fields
• Unconstrained Higher Spins of Mixed Symmetry. II. Fermi Fields
• String theory triplets and higher-spin curvatures
• Off-shell massive N=1 supermultiplets in three dimensions
• General Lagrangian Formulation for Higher Spin Fields with Arbitrary Index Symmetry. I. Bosonic fields
• Quartet unconstrained formulation for massive higher spin fields
• Frame-like Actions for Massless Mixed-Symmetry Fields in Minkowski space. Fermions
• General Lagrangian Formulation for Higher Spin Fields with Arbitrary Index Symmetry. 2. Fermionic fields
• On the relation between local and geometric Lagrangians for higher spins
• Frame-like gauge invariant formulation for mixed symmetry fermionic fields
• Current Exchanges for Reducible Higher Spin Multiplets and Gauge Fixing
• Cubic Vertices for N=1 Supersymmetric Massless Higher Spin Fields in Various Dimensions
• Topologically massive higher spin gauge theories
• Supersymmetric Reducible Higher-Spin Multiplets in Various Dimensions
• On Dimensional Degression in AdS(d)
• Mixed-symmetry multiplets and higher-spin curvatures
• Quartic interaction vertex in the massive integer higher spin field theory in a constant electromagnetic field
• Lagrangian formulation of massive fermionic higher spin fields on a constant electromagnetic background
• Lagrangian higher spin field theories from the O(N) extended supersymmetric particle
• Frame- and Metric-like Higher-Spin Fermions
• Extended string field theory for massless higher-spin fields
• Fermionic higher-spin triplets in AdS
• Hypergravity in five dimensions
• Field theories with (2,0) AdS supersymmetry in $\mathcal{N}=1$ AdS superspace
• "Dynamical" interactions and gauge invariance
• Gauged Supergravities and the Physics of Extra Dimensions
• Diagonalization Procedure for Reducible Massless N=1 Supermultiplets