Compact hypergroups from discrete subfactors
Journal of Functional Analysis(2021)
摘要
Conformal inclusions of chiral conformal field theories, or more generally inclusions of quantum field theories, are described in the von Neumann algebraic setting by nets of subfactors, possibly with infinite Jones index if one takes non-rational theories into account. With this situation in mind, we study in a purely subfactor theoretical context a certain class of braided discrete subfactors with an additional commutativity constraint, that we call locality, and which corresponds to the commutation relations between field operators at space-like distance in quantum field theory. Examples of subfactors of this type come from taking a minimal action of a compact group on a factor and considering the fixed point subalgebra.
更多查看译文
关键词
Discrete subfactors,Type III subfactors,Quantum groups,Conformal nets,Algebraic quantum field theory,Completely positive maps,Tensor categories,Compact hypergroups
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要