2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/187185We give a gauge invariant formulation of $N=2$ supersymmetric abelian Toda field equations in \n2 superspace. Superconformal invariance is studied. The conserved currents are shown to be associated with Drinfeld-Sokolov type gauges. The extension to non-abelian \n2 Toda equations is discussed. Very similar methods are then applied to a matrix formulation in \n2 superspace of one of the \n2 KdV hierarchies.21 pagesHigh Energy Physics - TheoryGauge invariant formulation of $N=2$ Toda and KdV systems in extended superspacetext