Zero-Curvature Formalism of Supersymmetric Principal Chiral Model

TL;DR

This paper explores a zero-curvature formalism for the supersymmetric principal chiral model, deriving new representations, conservation laws, and a Lax pair to advance understanding of its integrability properties.

Contribution

It introduces a novel zero-curvature formalism for the supersymmetric principal chiral model, connecting transformations to super Riccati equations and establishing a Lax representation.

Findings

Derived different zero-curvature representations

Established an infinite set of conservation laws

Presented a superspace monodromy operator

Abstract

We investigate one-parameter family of transformation on superfields of super principal chiral model and obtain different zero-curvature representations of the model. The parametric transformation is related to the super Riccati equations and an infinite set of local and non-local conservation laws is derived. A Lax representation of the model is presented which gives rise to a superspace monodromy operator.