Hidden higher supersymmetries in topological conformal field theories

Abstract

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.