Superfield Lax formalism of supersymmetric sigma model on symmetric spaces

We present a superfield Lax formalism of the superspace sigma model based on the target space and show that a one-parameter family of flat superfield connections exists if the target space is a symmetric space. The formalism has been related to the existence of an infinite family of local and non-local superfield conserved quantities. A few examples have been given to illustrate the results.