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Nuclear Physics B 828 (2010) 405-514
Unconstrained higher spins of mixed symmetry II. Fermi fields
A. Campoleoni1, 2, D. Francia3, J. Mourad3, A. Sagnotti1, 2

This paper is a sequel of [A. Campoleoni, D. Francia, J. Mourad, A. Sagnotti, Nucl. Phys. B 815 (2009) 289, arXiv:0810.4350 [hep-th]], and is also devoted to the local "metric-like" unconstrained Lagrangians and field equations for higher-spin fields of mixed symmetry in flat space. Here we complete the previous constrained on-shell formulation of Labastida for Fermi fields, deriving the corresponding constrained Lagrangians both via the Bianchi identities and via the requirement of self-adjointness. We also describe two types of unconstrained Lagrangian formulations: a "minimal" one, containing higher derivatives of the compensator fields, and another non-minimal one, containing only one-derivative terms. We identify classes of these systems that are invariant under Weyl-like symmetry transformations.
1:  SNS - Scuola Normale Superiore di Pisa
2:  INFN - Istituto Nazionale di Fisica Nucleare [Pisa]
3:  APC - UMR 7164 - AstroParticule et Cosmologie
Physics/High Energy Physics - Theory
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