论文标题
2D集成系统，4D Chern-Simons理论和仿射希格斯束
2d Integrable systems, 4d Chern-Simons theory and Affine Higgs bundles
论文作者
论文摘要
在这篇简短的综述中，我们通过两种轨距字段理论比较了2D可集成模型的构造。第一个是Costello和Yamazaki提出的4D Chern-Simons（4D-CS）理论。第二个是通过手续希格斯束（AHB）构建的Hitchin积分系统的2D概括。我们通过考虑1+1个椭圆集成系统的字段版本来说明这种方法，包括Calogero-Moser场理论，Landau-Lifshitz模型和椭圆形高丁模型的现场理论概括。
In this short review we compare constructions of 2d integrable models by means of two gauge field theories. The first one is the 4d Chern-Simons (4d-CS) theory proposed by Costello and Yamazaki. The second one is the 2d generalization of the Hitchin integrable systems constructed by means the Affine Higgs bundles (AHB). We illustrate this approach by considering 1+1 field versions of elliptic integrable systems including the Calogero-Moser field theory, the Landau-Lifshitz model and the field theory generalization of the elliptic Gaudin model.
