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Tensor Gauge Fields in Arbitrary Representations of GL(D, ℝ). Duality and Poincaré Lemma

par Bekaert, Xavier ;Boulanger, Nicolas
Référence Communications in Mathematical Physics, 245, 1, page (27-67)
Publication Publié, 2004-02

Article révisé par les pairs

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Résumé :

Using a mathematical framework which provides a generalization of the de Rham complex (well-designed for p-form gauge fields), we have studied the gauge structure and duality properties of theories for free gauge fields transforming in arbitrary irreducible representations of GL(D, ℝ). We have proven a generalization of the Poincaré lemma which enables us to solve the above-mentioned problems in a systematic and unified way.