论文标题
平面弦的Yang-Baxter变形
Yang-Baxter deformations of the flat space string
论文作者
论文摘要
我们定义具有非隔离式对称组的对称空间Sigma模型的Yang-baxter变形，特别是使用对称空间Sigma模型的基本结构。对于均匀变形，尽管R操作员不再满足独立运算符方程，但LAX连接的形式与半简单情况相同。对于不均匀的变形，需要通过修改基础代数来放松LAX连接的形式。我们通过讨论三维Minkowski空间的非亚伯变形来说明构建。
We define integrability preserving Yang-Baxter deformations of symmetric space sigma models with non-semi-simple symmetry group, in particular the flat space string, using only the essential structures of a symmetric space sigma model. For homogeneous deformations, the Lax connection is of the same form as the semi-simple case, although the R operator no longer satisfies a freestanding operator equation. For inhomogeneous deformations, the form of the Lax connection needs to be relaxed, by modifying the underlying algebra. We illustrate the construction by discussing nonabelian deformations of three dimensional Minkowski space.
