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arxiv: hep-th/9512220 · v1 · submitted 1995-12-29 · ✦ hep-th

Gauge invariant formulation of N=2 Toda and KdV systems in extended superspace

classification ✦ hep-th
keywords formulationsuperspacetodaequationsgaugeinvariantabelianapplied
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We 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.

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