On Lagrangian formulations for arbitrary bosonic HS fields on Minkowski backgrounds

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.

8 pages, no figures, extended Contribution to the Proceedings of the International Workshop "Supersymmetry and Quantum Symmetries" (SQS'2011, July 18- July 23, 2011, Dubna, Russia), v.2: 9 pages, 2 references with comments in Introduction added

References in corpus (6)

• BRST approach to Lagrangian construction for fermionic higher spin fields in AdS space
• Unconstrained Higher Spins of Mixed Symmetry. I. Bose Fields
• Frame-like Actions for Massless Mixed-Symmetry Fields in Minkowski space
• Gauge invariant Lagrangian construction for massive bosonic mixed symmetry higher spin fields
• General Lagrangian Formulation for Higher Spin Fields with Arbitrary Index Symmetry. I. Bosonic fields
• R-parity Conservation via the Stueckelberg Mechanism: LHC and Dark Matter Signals

Cited by in corpus (2)

• General Lagrangian Formulation for Higher Spin Fields with Arbitrary Index Symmetry. 2. Fermionic fields
• On Lagrangian Formulation for Spin (2,1,1) Massive Tensor Field on Minkowski Backgrounds