HIDDEN HIGHER SUPERSYMMETRIES IN TOPOLOGICAL CONFORMAL FIELD-THEORIES

We present the observation that a twisted class of the N = 3 and 4 superconformal field theories (SCFTs) is interpreted as the topological quantum field theory. We show that the one constructed from an N = 3 SCFT retains the N = 1 superconformal symmetry and the one from an N = 4 theory has two BRST operators. We introduce the primary chiral states for the N = 3 and 4 SCFTs and construct the BRST invariant observables.