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

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.

Latex, 43+1 pages, some proofs reorganised for clarity, references added, final version accepted for publication in CMP

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