Superfield Lax formalism of supersymmetric sigma model on symmetric spaces

TL;DR

This paper develops a superfield Lax formalism for supersymmetric sigma models on symmetric spaces, revealing a family of flat superfield connections and conserved quantities, with examples illustrating the approach.

Contribution

It introduces a novel superfield Lax formalism for supersymmetric sigma models on symmetric spaces, linking it to conserved quantities and providing explicit examples.

Findings

Existence of a one-parameter family of flat superfield connections.

Connection between the formalism and conserved quantities.

Illustrative examples demonstrating the formalism.

Abstract

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.