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.
Citation:
O. A. Gelfond, M. A. Vasiliev, “Symmetries of higher-spin current interactions in four dimensions”, TMF, 187:3 (2016), 401–420; Theoret. and Math. Phys., 187:3 (2016), 797–812