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.

Unconstrained Higher Spins of Mixed Symmetry. II. Fermi Fields

FRANCIA, DARIO;SAGNOTTI, AUGUSTO
2010

Abstract

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.
2010
Higher Spins; Fermi Fields; Mixed Symmetry
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/6648
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