1202.3859 (Alexander A. Reshetnyak)

On Lagrangian formulations for arbitrary bosonic HS fields on Minkowski
backgrounds    [PDF]

Alexander A. Reshetnyak

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.

View original: http://arxiv.org/abs/1202.3859