/ 01 09 06 7 v 1 7 S ep 2 00 1 Lagrangian formulation of the massless higher integer spin fields in the AdS background

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-liner and analogous to W3 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. E-mail: [email protected] E-mail: [email protected] E-mail: [email protected]