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Geometric Second Order Field Equations for General Tensor Gauge Fields

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arxiv hep-th/0303036 v2 pith:X7KQEZTQ submitted 2003-03-05 hep-th

classification hep-th
keywords fieldsorderequationsfieldhighersecondgaugegeneral
verification ladder T0 review T1 audit T2 compute T3 formal
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Higher spin tensor gauge fields have natural gauge-invariant field equations written in terms of generalised curvatures, but these are typically of higher than second order in derivatives. We construct geometric second order field equations and actions for general higher spin boson fields, and first order ones for fermions, which are non-local but which become local on gauge-fixing, or on introducing auxiliary fields. This generalises the results of Francia and Sagnotti to all representations of the Lorentz group.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. General Lagrangian formulations for mixed-antisymmetric tensor fields on flat backgrounds

    hep-th 2026-06 unverdicted novelty 6.5 of 10

    Lagrangian formulations for mixed-antisymmetric higher-spin fields with k-column Young tableaux are constructed via complete and incomplete BRST operators after converting constraints using Verma modules and Howe duality.

  2. Tensor global symmetries and the Stueckelberg mechanism for tensor fields

    hep-th 2024-11 reject novelty 6.0 of 10

    The authors construct Stueckelberg completions for massive mixed-symmetry tensor fields and derive mixed-symmetry currents and a 't Hooft anomaly for linearized gravity, but a sign error invalidates the (2,1) current ...

  3. Covariant variation and its applications

    hep-th 2026-07 conditional novelty 5.0 of 10

    A metric-compatible covariant variation of tensors has a non-closure anomaly that reproduces electromagnetic helicity flux under superrotations and generalizes to higher-spin and p-form radiative data.

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