Superspace geometrical representations of extended super Virasoro algebras

Utilizing sets of super-vector fields (derivations), explicit expressions are obtained for; (a) the 1D, N-extended superconformal algebra, (b) the 1D, N-extended super Virasoro algebra for N=1, 2, and 4 and (c) a geometrical realization (GR) covering algebra that contains the super Virasoro algebra for arbitrary values of N. By use of such vector fields, the super Virasoro algebra is embedded as a geometrical and model-independent structure in 1D and 2D ℵ0-extended superspace.