Lagrangian formulation of the massless higher integer spin fields in the AdS background

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Abstract
We construct the lagrangian description of the arbitrary integer higher spin massless fields on a background of the D-dimensional anti-de Sitter space. The operator constraints in auxiliary Fock space corresponding to subsidiary conditions for irreducible unitary massless representation of the D-dimensional anti-de Sitter group are formulated. Unlike the flat space, the algebra of the constraints is turned out to be non-linear and analogous to W_3 algebra. We construct the nilpotent BRST -- charge for this non-linear algebra and derive on its base the correct field content and gauge invariant action describing a consistent arbitrary integer spin field dynamics in the AdS space.