Mixed-symmetry multiplets and higher-spin curvatures
arXiv:1501.02462 · doi:10.1088/1751-8113/48/22/225401
Abstract
We study the higher-derivative equations for gauge potentials of arbitrary mixed-symmetry type obtained by setting to zero the divergences of the corresponding curvature tensors. We show that they propagate the same reducible multiplets as the Maxwell-like second-order equations for gauge fields subject to constrained gauge transformations. As an additional output of our analysis, we provide a streamlined presentation of the Ricci-like case, where the traces of the same curvature tensors are set to zero, and we present a simple algebraic evaluation of the particle content associated with the Labastida and with the Maxwell-like second-order equations.
24 pages
References in corpus (9)
- Gauge Invariant Lagrangians for Free and Interacting Higher Spin Fields. A Review of the BRST formulation
- Current Exchanges and Unconstrained Higher Spins
- Tensor gauge fields in arbitrary representations of GL(D,R): II. Quadratic actions
- Unconstrained Higher Spins of Mixed Symmetry. I. Bose Fields
- Frame-like Actions for Massless Mixed-Symmetry Fields in Minkowski space
- Reducible higher-spin multiplets in flat and AdS spaces and their geometric frame-like formulation
- Frame-like Actions for Massless Mixed-Symmetry Fields in Minkowski space. Fermions
- Generalised connections and higher-spin equations
- Frame-like off-shell dualisation for mixed-symmetry gauge fields
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- Lagrangian formulation of massive fermionic higher spin fields on a constant electromagnetic background
- Fermionic higher-spin triplets in AdS
- A connection between linearized Gauss-Bonnet gravity and classical electrodynamics II: Complete dual formulation
- Massless chiral fields in six dimensions
- Lagrangian BRST formulation of massive higher spin fields of generic symmetry type
- Gauge fields and infinite chains of dualities
- Curvature tensors of higher-spin gauge theories derived from general Lagrangian densities