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Tensor gauge fields in arbitrary representations of GL(D,R) : duality & Poincare lemma

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arxiv hep-th/0208058 v2 pith:A5UKOH7P submitted 2002-08-07 hep-th math-phmath.MPmath.QA

classification hep-thmath-phmath.MPmath.QA
keywords gaugefieldsarbitrarydualitygeneralizationlemmapoincarerepresentations
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Using a mathematical framework which provides a generalization of the de Rham complex (well-designed for p-form gauge fields), we study the gauge structure and duality properties of theories for free gauge fields transforming in arbitrary irreducible representations of GL(D,R). We prove a generalization of the Poincare lemma which enables us to solve the above-mentioned problems in a systematic and unified way.

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Cited by 2 Pith papers

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

  1. 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 ...

  2. De Sitter Representations

    hep-th 2026-06 unverdicted

    Review of so(1,D) representations for de Sitter space across all D, covering mixed symmetry and fermions, connected to propagating fields.

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