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 $\mathcal{G}/\mathcal{H}$ and show that a one-parameter family of flat superfield connections exists if the target space $\mathcal{G}/\mathcal{H}$ 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.