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Properties of totally consistent equations of motion of interacting gauge fields of all spins s=0, 1/2, 1, . . ., infinity in 3+1 dimensions are discussed in some detail. The equations under consideration are explicitly general coordinate invariant, possess all necessary higher-spin gauge symmetries, reduce to the standard free massless equations in the linearized approximation and contain Einstein equations with the cosmological term in the spin-2 sector.
M. A. Vasiliev (Mon,) studied this question.