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Mixed-symmetry multiplets and higher-spin curvatures

Abstract : We study the higher-derivative equations for gauge potentials of arbitrary mixed-symmetry type obtained by setting to zero the divergences of the corresponding curvature tensors. We show that they propagate the same reducible multiplets as the Maxwell-like second-order equations for gauge fields subject to constrained gauge transformations. As an additional output of our analysis, we provide a streamlined presentation of the Ricci-like case, where the traces of the same curvature tensors are set to zero, and we present a simple algebraic evaluation of the particle content associated with the Labastida and with the Maxwell-like second-order equations.
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https://hal.archives-ouvertes.fr/hal-01266439
Contributor : Xavier Bekaert <>
Submitted on : Tuesday, February 2, 2016 - 3:58:35 PM
Last modification on : Wednesday, February 13, 2019 - 1:22:51 AM

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Xavier Bekaert, Nicolas Boulanger, Dario Francia. Mixed-symmetry multiplets and higher-spin curvatures. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2015, 48 (22), pp.225401. ⟨10.1088/1751-8113/48/22/225401⟩. ⟨hal-01266439⟩

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