PIRSA:24030092

Models of anyons with symmetry: a bulk-boundary correspondence

Burnell, F. (2024). Models of anyons with symmetry: a bulk-boundary correspondence. Perimeter Institute. https://pirsa.org/24030092

Burnell, Fiona. Models of anyons with symmetry: a bulk-boundary correspondence. Perimeter Institute, Mar. 18, 2024, https://pirsa.org/24030092 

          @misc{ pirsa_PIRSA:24030092,
            doi = {10.48660/24030092},
            url = {https://pirsa.org/24030092},
            author = {Burnell, Fiona},
            keywords = {Condensed Matter},
            language = {en},
            title = {Models of anyons with symmetry: a bulk-boundary correspondence},
            publisher = {Perimeter Institute},
            year = {2024},
            month = {mar},
            note = {PIRSA:24030092 see, \url{https://pirsa.org}}
          }

Fiona Burnell University of Minnesota

DOI 10.48660/24030092
Collection
Talk Type Conference
Subject

Abstract

I will describe models with on-site symmetry that permutes anyons with non-trivial mutual statistics, and show that the action of this symmetry on the boundary can effectively be that of a non-invertible symmetry such as Kramers-Wannier duality. I will sketch some implications of this for anomalies in non-invertible symmetries. Finally, I will introduce a construction (based on idempotent completion) that allows us to realize all possible anyon permuting symmetries of a given topological order in an on-site way.