SUPERSPACE GEOMETRICAL REPRESENTATIONS OF EXTENDED SUPER VIRASORO ALGEBRAS

Utilizing sets of super-vector fields (derivations), explicit expressi ons are obtained for; (a) the 1D, N-extended superconformal algebra, ( b) the 1D, N-extended super Virasoro algebra for N = 1,2, and 1 and (c ) a geometrical realization (GR) covering algebra that contains the su per Virasoro algebra for arbitrary values of N. By use of such vector fields, the super Virasoro algebra is embedded as a geometrical and mo del-independent structure in 1D and 2D N-0-extended superspace. (C) 19 98 Elsevier Science B.V. All rights reserved.