THE STRUCTURE OF THE SUPER-WINFINITY(LAMBDA)-ALGEBRA

We give a comprehensive treatment of the super-W(infinity)(lambda) algebra, an extension of the super-Virasoro algebra that contains generators of spin s greater-than-or-equal-to 1/2. The parameter-lambda defines the embedding of the Virasoro subalgebra. We describe how to obtain the super-W(infinity)(lambda) algebra from the associative algebra of superspace differential operators. We discuss the structure of this associative algebra and its relation with the so-called wedge algebra, in which the generators for given spin are restricted to finite-dimensional representations of sl(2). From the super-W(infinity)(lambda) algebra one can obtain a variety of W(infinity) algebras by consistent truncations for specific values of lambda. Without truncation the albebras are formally isomorphic for different values of lambda. We present a realization in terms of the currents of a supersymmetric bc system.