2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/217510We present in this work a systematic study of integrable models and supersymmetric extensions of the Gelfand-Dickey algebra of pseudo differential operators. We describe in detail the relation existing between the algebra of super pseudo-differential operators on the ring of superfields $u_{\frac{s}{2}}(z,θ),s\in Z$ and the higher and lower spin extensions of the conformal algebra.24 pagesHigh Energy Physics - Theorytext