Unconstrained higher spins of mixed symmetry II. Fermi fields

A. Campoleoni (1, 2) , D. Francia (3) , J. Mourad (4) , A. Sagnotti (1, 2)

1 SNS - Scuola Normale Superiore di Pisa
2 INFN - Istituto Nazionale di Fisica Nucleare [Pisa]
3 APC (UMR_7164) - AstroParticule et Cosmologie
4 APC - THEORIE

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.

Domaines: Physique des Hautes Energies - Théorie [hep-th]

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