ON GENERAL LAGRANGIAN FORMULATIONS FOR ARBITRARY MIXED-SYMMETRIC HIGHER-SPIN FERMIONIC FIELDS ON MINKOWSKI BACKGROUNDS
The details of unconstrained Lagrangian formulations (being continuation of earlier developed research for Bose particles in NPB 862 (2012) 270, [arXiv:1110.5044[hep-th]], Phys. of Part. and Nucl. 43 (2012) 689, [arXiv:1202.4710 [hep-th]]) are reviewed for Fermi particles propagated on an arbitrary dimensional Minkowski space-time and described by the unitary irreducible half-integer higher-spin representations of the Poincare group subject to Young tableaux Y (s1; ... ; sk) with k rows. The procedure is based on the construction of the Verma modules and nding auxiliary oscillator realizations for the orthosymplectic osp(kj2k) superalgebra which encodes the second-class operator constraints subsystem in the HS symmetry superalgebra. Applying of an universal BRST-BFV approach permit to reproduce gauge-invariant Lagrangians with reducible gauge symmetries describing the free dynamics of both massless and massive fermionic elds of any spin with appropriate number of gauge and Stukelberg elds. The general construction possesses by the obvious possibility to derive Lagrangians with only holonomic constraints.
Keywords: higher spins, BRST symmetry, Lagrangian formulation, Verma module, gauge invariance
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Issue: 13, 2012
Pages: 139 — 144
Downloads: 884