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arXiv · 1202.3859

On Lagrangian formulations for arbitrary bosonic HS fields on Minkowski backgrounds

Alexander A. Reshetnyak
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Abstract

We review the details of unconstrained Lagrangian formulations for Bose particles propagated on an arbitrary dimensional flat space-time and described by the unitary irreducible integer higher-spin representations of the Poincare group subject to Young tableaux $Y(s_1,...,s_k)$ with $k$ rows. The procedure is based on the construction of Verma modules and finding auxiliary oscillator realizations for the symplectic $sp(2k)$ algebra which encodes the second-class operator constraints subsystem in the HS symmetry algebra. Application of an universal BRST approach reproduces gauge-invariant Lagrangians with reducible gauge symmetries describing the free dynamics of both massless and massive bosonic fields of any spin with appropriate number of auxiliary fields.

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Alexander A. Reshetnyak. 2012-02-17. On Lagrangian formulations for arbitrary bosonic HS fields on Minkowski backgrounds. https://doi.org/10.1134/s1063779612050322

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