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

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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 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.

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  1. Physique Théorique et Mathématique, Université Libre de Bruxelles, C.P. 231, 1050, Bruxelles, Belgium

    Xavier Bekaert & Nicolas Boulanger

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  1. Xavier Bekaert
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  2. Nicolas Boulanger
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Communicated by A. Connes

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Bekaert, X., Boulanger, N. Tensor Gauge Fields in Arbitrary Representations of GL(D, ℝ). Duality and Poincaré Lemma. Commun. Math. Phys. 245, 27–67 (2004). https://doi.org/10.1007/s00220-003-0995-1

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  • DOI: https://doi.org/10.1007/s00220-003-0995-1

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