Eur. Phys. J. C (2006) 46: 797-805
https://doi.org/10.1140/epjc/s2006-02514-x

Theoretical Physics

Superfield Lax formalism of supersymmetric sigma model on symmetric spaces

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

^* e-mail: usman_physics@yahoo.com

Received: 26 October 2005
Revised: 30 December 2005
Published online: 13 April 2006

Abstract

We present a superfield Lax formalism of the superspace sigma model based on the target space and show that a one-parameter family of flat superfield connections exists if the target space 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.