SUPERSYMMETRIC WZW σ MODEL ON INFINITE AND HALF-PLANE

@article{Zait2005SUPERSYMMETRICW,
title={SUPERSYMMETRIC WZW σ MODEL ON INFINITE AND HALF-PLANE},
author={R. Zait and M. F. Mourad},
journal={International Journal of Modern Physics A},
year={2005},
volume={20},
pages={2763-2772}
}

We study classical integrability of the supersymmetric U(N) σ model with the Wess–Zumino–Witten term on infinite and half-plane. We demonstrate the existence of nonlocal conserved currents of the model and derive general recursion relations for the infinite number of the corresponding charges in a superfield framework. The explicit forms of the first few supersymmetric charges are constructed. We show that the considered model is integrable on infinite plane as a consequence of the conservation… Expand