Superfield Lax formalism of supersymmetric sigma model on symmetric spaces

We present a superfield Lax formalism of superspace sigma model based on the target space ${\cal G}/{\cal H}$ and show that a one-parameter family of flat superfield connections exists if the target space ${\cal G}/{\cal H}$ is a symmetric space. The formalism has been related to the existences of an infinite family of local and non-local superfield conserved quantities. Few examples have been given to illustrate the results.