Topological order, tensor networks and subfactors

Yasuyuki Kawahigashi (University of Tokyo, Japan)

28-Mar-2023, 11:00-12:00 (12 months ago)

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


Quantum Groups Seminar [QGS]

Series comments: This 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 link 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
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