论文标题
NLSM在对称空间中的可集成性的新方面
Novel aspects of integrability for NLSMs in symmetric spaces
论文作者
论文摘要
我们获得了非线性Sigma模型的辅助系统的形式解决方案，其目标空间是基于无限正交o的等级1对称空间（P，Q），与NLSM的任意解决方案相对应。该类包括抗DE保姆，DE Sitter和双曲线空间，鉴于ADS/CFT对应关系。形式解决方案与NLSM的Pohlmeyer还原有关，构成了NLSM与还原理论之间的另一种联系。除了得出解决方案之外，我们还回顾了此类模型的POHLMEYER还原。最后，我们评论了对单片矩阵及其特征值的影响。
We obtained the formal solution of the auxiliary system of Non Linear Sigma Models, whose target space is a rank 1 symmetric space based on the indefinite orthogonal group O(p,q), corresponding to an arbitrary solution of the NLSM. This class includes Anti-de Sitter, de Sitter and Hyperbolic spaces, which are of interest in view of the AdS/CFT correspondence. The formal solution is related to the Pohlmeyer reduction of the NLSM, constituting another link between the NLSM and the reduced theory. Besides deriving the solution, we also review the Pohlmeyer reduction of such models. Finally, we comment on the implications for the monodromy matrix and its eigenvalues.
