Topological Descendants: DDK and KM Realizations
Beatriz Gato-Rivera, Jose Ignacio Rosado

TL;DR
This paper explores the embedding of the minimal matter plus scalar system into twisted N=2 topological algebra via DDK and KM methods, proving no-ghost theorems and detailing level 2 descendants.
Contribution
It provides new results on topological descendants, their realizations, and proofs of no-ghost theorems within the context of twisted N=2 topological algebra.
Findings
Proved four no-ghost theorems for topological descendants.
Derived expressions for level 2 descendants.
Analyzed DDK and KM realizations of the system.
Abstract
The "minimal matter + scalar" system can be embedded into the twisted 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" theorems (two for null states) regarding the reduction of the topological descendants into secon- daries of the "minimal matter + scalar" conformal field theory. We write down the relevant expressions for the case of level 2 descendants.
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