Abstract

Pure gauge representation for general vacuum background fields (Cartan forms) in the generalized AdS superspace identified with OSp(L,M) is found. This allows us to formulate dynamics of free massless fields in the generalized AdS space–time and to find their (generalized) conformal and higher spin field transformation laws. Generic solution of the field equations is also constructed explicitly. The results are obtained with the aid of the star product realization of ortosymplectic superalgebras.

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