General unconstrained and constrained BRST Lagrangians for massless and massive mixed-antisymmetric integer higher-spin fields with k-column Young tableaux are derived via so(k,k) Verma-module conversion.
Geometric Second Order Field Equations for General Tensor Gauge Fields
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abstract
Higher spin tensor gauge fields have natural gauge-invariant field equations written in terms of generalised curvatures, but these are typically of higher than second order in derivatives. We construct geometric second order field equations and actions for general higher spin boson fields, and first order ones for fermions, which are non-local but which become local on gauge-fixing, or on introducing auxiliary fields. This generalises the results of Francia and Sagnotti to all representations of the Lorentz group.
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General Lagrangian formulations for mixed-antisymmetric tensor fields on flat backgrounds
General unconstrained and constrained BRST Lagrangians for massless and massive mixed-antisymmetric integer higher-spin fields with k-column Young tableaux are derived via so(k,k) Verma-module conversion.