ZERO CURVATURE FORMALISM FOR SUPERSYMMETRIC INTEGRABLE HIERARCHIES INSUPERSPACE

We generalize the Drinfeld-Sokolov formalism of bosonic integrable hie rarchies to superspace, in a way which systematically leads to the zer o curvature formulation for the supersymmetric integrable systems star ting from the Lax equation in superspace. We use the method of symmetr ic space as well as the non-Abelian gauge technique to obtain the supe rsymmetric integrable hierarchies of the AKNS type from the zero curva ture condition in superspace with the graded algebras, sl(n + 1, n), p roviding the Hermitian symmetric space structure.