On generalized symmetries and structure of modular categories

• 作 者: Shawn Xingshan Cui Modjtaba Sh
• 机 构: StanfordInstituteforTheoreticalPhysics,DepartmentofMathematics,DepartmentofMathematics,MicrosoftStat
• 出 处: 中国科学:数学英文版
• 发表日期: 2019年3期
• 关键词: MODULAR CATEGORY CATEGORY symmetry HOPF MONAD TENSOR FUNCTOR
• 基金项目: supported by the Simons Foundation,supported by National Science Foundation of USA (Grants Nos. DMS-1411212 and FRG-1664351).

Pursuing a generalization of group symmetries of modular categories to category symmetries in topological phases of matter, we study linear Hopf monads. The main goal is a generalization of extension and gauging group symmetries to category symmetries of