This article is cited in 10 papers

Symmetries of higher-spin current interactions in four dimensions

O. A. Gelfond^ab, M. A. Vasiliev<sup>b

a</sup> Institute of System Research of Russian Academy of Sciences, Moscow, Russia
^b Tamm Department of Theoretical Physics, Lebedev Physical Institute, RAS, Moscow, Russia

Abstract: 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.

Received: 08.10.2015
Revised: 24.12.2015

DOI: 10.4213/tmf9064

 English version: Theoretical and Mathematical Physics, 2016, 187:3, 797–812

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