Abstract

Totally symmetric, arbitrary spin massless and massive free fields in flat and AdS space and conformal fields in flat space are studied. An extended gauge-invariant Hamiltonian action for such fields is obtained. The action is constructed out of phase space fields and Lagrangian multipliers which are free of algebraic constraints. Gauge transformations of the phase space fields and Lagrangian multipliers are derived. Use of the Poincaré parametrization of AdS space allows us to treat fields in flat space and AdS space on an equal footing.This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical devoted to ‘Higher spin theories and holography’.

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