TOPOLOGICAL DESCENDANTS - DDK AND KM REALIZATIONS

The ''minimal matter + scalar'' system can be embedded into the twiste d N = 2 topological algebra in two ways: a la DDK or a la KM. Here we present some results concerning the topological descendants and their DDK and KM realizations. In particular, we prove four ''no-ghost'' the orems (two for null states) regarding the reduction of the topological descendants into secondaries of the ''minimal matter + scalar'' confo rmal field theory. We write down the relevant expressions for the case of level 2 descendants.