Tensor Gauge Fields in Arbitrary Representations of GL(D, ?). Duality and Poincar� Lemma

2002/08/31 by Xavier Bekaert, Nicolas Boulanger · 11 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #hep-th #math-ph #math.MP #math.QA

paper · pdf · doi:10.1007/s00220-003-0995-1

published as Commun.Math.Phys. 245 (2004) 27-67 · Latex, 43+1 pages, some proofs reorganised for clarity, references added, final version accepted for publication in CMP

arxiv created 2003/09/30 · openalex publication_date 2004/01/24 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/04

Abstract

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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