On Lagrangian formulations for arbitrary bosonic HS fields on Minkowski backgrounds

Details On Lagrangian formulations for arbitrary bosonic HS fields on Minkowski backgrounds On Lagrangian formulations for arbitrary bosonic HS fields on Minkowski backgrounds

2012-02-17

arxiv.org/abs/1202.3859v2

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, no figures, extended Contribution to the Proceedings of the International Workshop "Supersymmetry and Quantum Symmetr

Scientific paper

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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