论文标题
正式解决$ O（n）$非线性Sigma模型的辅助系统
Solving formally the Auxiliary System of $O(N)$ Non Linear Sigma Model
论文作者
论文摘要
我们表明，$ SO（N）/SO（N-1）$主手性模型（PCM）的集成性起源于$ O（N）$ non Lineal Sigma模型（NLSM）的pohlmeyer降低。特别是，我们表明，PCM的宽松对与重新定义以及将参数识别为零曲率条件有关，这是POHLMEYER还原中使用的增强空间的平坦度的结果。该识别提供了与任意NLSM/PCM解决方案相对应的辅助系统的解决方案。
We show that the integrability of the $SO(N)/SO(N-1)$ Principal Chiral Model (PCM) originates from the Pohlmeyer reduction of the $O(N)$ Non Linear Sigma Model (NLSM). In particular, we show that the Lax pair of the PCM is related upon redefinitions and identification of parameters to the zero curvature condition, which is a consequence of the flatness of the enhanced space used in the Pohlmeyer reduction. This identification provides the solution of the auxiliary system that corresponds to an arbitrary NLSM/PCM solution.
