Mixed-symmetry multiplets and higher-spin curvatures

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 sub...

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Bibliographic Details
Published inJournal of physics. A, Mathematical and theoretical Vol. 48; no. 22; pp. 225401 - 17
Main Authors Bekaert, Xavier, Boulanger, Nicolas, Francia, Dario
Format Journal Article
LanguageEnglish
Published IOP Publishing 05.06.2015
Subjects
Algebra
Constraints
Curvature
field theory in higher dimensions
Gages
Gauges
High Energy Physics - Theory
higher-spin theory
Mathematical analysis
mixed-symmetry representations
Physics
relativistic wave equations
Tensors
Transformations (mathematics)
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Summary: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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ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8113/48/22/225401