Local Symmetry and Conserved Currents of Principal Chiral Model with Topological Term

In this paper we show the scattering problem's equation of principal chiral model with Wess-Zumino-Witten term. Two sets of symmetry transforms are given and four series of conserved currents are obtained, in which two of them are Noether types and the others are not. Finally the Kac-Moody algebra is discussed.