2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/50184This work consists in applying the analysis of integrable models to study the problem of Hyper-Kahler metrics building. In this context, we use the harmonic superspace language applied to D=2 N=4 SU(2) Liouville self interacting model and derive an explicit central extended Hyper-Kahler metric as well as the induced scalar potential.15 pagesHigh Energy Physics - TheoryMaterials ScienceMathematical PhysicsMetric Geometrytext