Symmetries of higher-spin current interactions in four dimensions
Teoretičeskaâ i matematičeskaâ fizika, Tome 187 (2016) no. 3, pp. 401-420

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We show that the current interaction of massless fields in four dimensions breaks the $\mathfrak{sp}(8)$ symmetry of free massless equations of arbitrary spin down to the conformal symmetry $\mathfrak{su}(2,2)$. This breaking agrees with the form of the nonlinear higher-spin field equations.
Keywords: higher symmetry, conformal symmetry, conserved current.
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     author = {O. A. Gelfond and M. A. Vasiliev},
     title = {Symmetries of higher-spin current interactions in four dimensions},
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O. A. Gelfond; M. A. Vasiliev. Symmetries of higher-spin current interactions in four dimensions. Teoretičeskaâ i matematičeskaâ fizika, Tome 187 (2016) no. 3, pp. 401-420. http://geodesic.mathdoc.fr/item/TMF_2016_187_3_a0/