Topological descendants: DDK and KM realizations

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