Topological order, tensor networks and subfactors
Yasuyuki Kawahigashi (University of Tokyo, Japan)
Abstract: I will explain interactions between two-dimensional topological order and subfactors from a viewpoint of tensor networks. The range of a certain finite dimensional projection appearing in statistical physics is identified with the higher relative commutant of the subfactor arising from such a tensor network. We then work out the machinery of alpha-induction for braided fusion categories in the setting of certain 4-tensors, called bi-unitary connections, appearing in subfactor theory.
category theoryoperator algebrasquantum algebra
Audience: researchers in the topic
Series comments: This online seminar aims to bring together experts in the area of quantum groups. The seminar topics will cover the theory of quantum groups and related structures in a large sense: Hopf algebras, operator algebras, q-deformations, higher categories and related branches of noncommutative mathematics.
The zoom links will be distributed by mail, so please join the mailing list if you are interested in attending the seminar.
| Organizers: | Rubén Martos, Frank Taipe*, Makoto Yamashita |
| *contact for this listing |