Eur. Phys. J. C (2005) 38: 521-526
https://doi.org/10.1140/epjc/s2004-02066-1

theoretical physics

Zero-curvature formalism of supersymmetric principal chiral model

Department of Physics, University of the Punjab, Quaid-e-Azam Campus, 54590, Lahore, Pakistan

^* e-mail: usman_physics@yahoo.com

Abstract

We investigate the one-parameter family of transformations on superfields of the 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.