AbstractNon-invertible symmetry is a type of symmetry that does not obey any group law, and their recent discovery in 4D led to significant research interest both formally and phenomenologically. In this talk, we present a new general perspective on constructing non-invertible duality symmetries in the language of relative and absolute QFT, which not only reproduces non-invertible duality symme...
摘要： We give a characterization of a finite-dimensional commuting square of C*-algebras that produces a hyperfinite type II_1 subfactor of finite index and finite depth in terms of Morita equivalent unitary fusion categories. This type of commuting squares were studied by N. Sato, and we show that a slight generalization of his construction covers the fully general case of such commuting squ...
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