Unconstrained higher spins of mixed symmetry II. Fermi fields

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.
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Nuclear Physics B, Elsevier, 2010, 828, pp.405-514. 〈10.1016/J.NUCLPHYSB.2009.08.025〉
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Soumis le : dimanche 7 octobre 2012 - 17:36:16
Dernière modification le : vendredi 24 novembre 2017 - 01:26:07

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A. Campoleoni, D. Francia, J. Mourad, A. Sagnotti. Unconstrained higher spins of mixed symmetry II. Fermi fields. Nuclear Physics B, Elsevier, 2010, 828, pp.405-514. 〈10.1016/J.NUCLPHYSB.2009.08.025〉. 〈hal-00739298〉

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