MULTIFIELD COSET SPACE REALIZATIONS OF OMEGA(1)+INFINITY

We extend the coset space formulation of the one-field realization of w1+infinity to include more fields as the coset parameters. This can b e done either by choosing a smaller stability subalgebra in the non-li near realization of w1+infinity symmetry, or by considering a non-line ar realization of some extended symmetry, or by combining both options . We show that all these possibilities give rise to the multi-field re alizations of w1+infinity. We deduce the two-field realization of w1+i nfinity proceeding from a coset space of the symmetry group G which is an extension of w1+infinity by the second self-commuting set of highe r spin currents. Next, starting with the unextended w1+infinity but pl acing all its spin-2 generators into the coset, we obtain a new two-fi eld realization of w1+infinity which essentially involves a 2D dilaton . In order to construct the invariant action for this system we add on e more field and so get a new three-field realization of w1+infinity. We re-derive it within the coset space approach, by applying the latte r to an extended symmetry group G which is a non-linear deformation of G. Finally we present some multi-field generalizations of our three-f ield realization and discuss several intriguing parallels with N = 2 s trings and conformal affine Toda theories.