SUPERSYMMETRIC WZW σ MODEL ON INFINITE AND HALF-PLANE

@article{Zait2005SUPERSYMMETRICW,
  title={SUPERSYMMETRIC WZW $\sigma$ 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