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Unconstrained Higher Spins of Mixed Symmetry. II. Fermi Fields

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arxiv 0904.4447 v2 pith:J2C3DMRT submitted 2009-04-28 hep-th

Andrea Campoleoni , Dario Francia , Jihad Mourad , Augusto Sagnotti (Scuola Normale Superiore , Pisa , APC - U. Paris VII) This is my paper · ORCID
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keywords fieldssymmetryunconstrainedconstrainedcontainingfermihigherlagrangians
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This paper is a sequel of 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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Cited by 3 Pith papers

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    The BV quantization of the reducible fermionic p-form gauge theory in AdS_d gives Z(p) as a product over functional determinants of Dirac-like operators with degree-dependent masses.

  2. More on unconstrained descriptions of Higher Spin Massless Particles

    hep-th 2025-01 conditional novelty 7.0 of 10

    A two-field local action for free massless higher-spin particles is proposed, reducing the auxiliary field content by promoting a Lagrange multiplier to a Weyl gauge symmetry.

  3. Adjustment of Faddeev-Popov quantization to reducible gauge theories: antisymmetric tensor fermion in $AdS_d$ space

    hep-th 2025-07 conditional novelty 6.0 of 10

    A nested Faddeev-Popov procedure is derived for first-stage reducible gauge theories and yields the one-loop effective action of the rank-2 antisymmetric fermion in AdS_d as a ratio of Dirac-type functional determinants.

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