Matrix product operator algebras

András Molnár (U of Vienna)

Oct 06. 2022, 09:30 — 10:15

Topological order in two dimensional systems is closely related to fusion categories. For example, in PEPS topological order emerges due to certain MPO symmetries of the defining tensors, where the MPOs themselves are identified with the fusion category. In this talk we show that the MPO symmetries can naturally be interpreted as representations of certain algebras (weak Hopf algebras), providing an alternative (but completely equivalent) language to talk about the MPO symmetries.

Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Tensor Networks: Mathematical Structures and Novel Algorithms (Thematic Programme)
Frank Pollmann (TU Munich)
Norbert Schuch (U of Vienna)
Frank Verstraete (Ghent U)