论文标题
$ s $理论中离散动力系统的注释
A note on discrete dynamical systems in theories of class $S$
论文作者
论文摘要
在本说明中，我们考虑了类$ S $的理论中的一组线运算符。我们表明，该集合具有与BPS频谱相关的自然离散动力系统的作用。我们讨论了这种观点的几个应用；与该理论的全球特性的关系；施加在频谱生成器上的一组约束，特别是对于su（2）$ \ mathcal {n} = 2^*$;以及线缺陷与某些球形双仿射Hecke代数之间的关系。
In this note we consider the set of line operators in theories of class $S$. We show that this set carries the action of a natural discrete dynamical system associated with the BPS spectrum. We discuss several applications of this perspective; the relation with global properties of the theory; the set of constraints imposed on the spectrum generator, in particular for the case of SU(2) $\mathcal{N}=2^*$; and the relation between line defects and certain spherical Double Affine Hecke Algebras.
