2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/150652Using the differential equation approach to W-algebras, we discuss the inclusion of punctures in W-string theory. The key result is the existence of different kinds of punctures in W-strings. This is similar to the NS and R punctures occuring in superstring theories. We obtain the moduli associated with these punctures and present evidence in existing W-string theories for these punctures. The $W_3$ case is worked out in detail. It is conjectured that the $(1,3)$ minimal model coupled to two dimensional gravity corresponds to topological $W_3$-gravity.11 pages; LaTeX, needs world_sci.sty (available at xxx) References included and minor typos correctedHigh Energy Physics - Theorytext