Grad Student Seminar with Hank Chen

APA

Chen, H. (2023). Grad Student Seminar with Hank Chen. Perimeter Institute for Theoretical Physics. https://pirsa.org/23040157

MLA

Chen, Hank. Grad Student Seminar with Hank Chen. Perimeter Institute for Theoretical Physics, Apr. 17, 2023, https://pirsa.org/23040157

BibTex

          @misc{ scivideos_PIRSA:23040157,
            doi = {10.48660/23040157},
            url = {https://pirsa.org/23040157},
            author = {Chen, Hank},
            keywords = {Other Physics},
            language = {en},
            title = {Grad Student Seminar with Hank Chen},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2023},
            month = {apr},
            note = {PIRSA:23040157 see, \url{https://scivideos.org/pirsa/23040157}}
          }
          

Hank Chen University of Waterloo

Source Repository PIRSA
Talk Type Scientific Series
Subject

Abstract

Hank Chen, Perimeter Institute and University of Waterloo

Drinfel’d double symmetry of the 4d Kitaev model

We construct the 2-Drinfel'd double associated to a finite 2-group G, and compute its braided 2-category of 2-representations, in order to characterize the topological excitations in the 4d toric code and its spin-Z_2 variant. This work relates the categorical and field theoretical approaches toward characterizing higher-dimensional topological phases in existing literature. In particular, we show that particular twists of the underlying 2-Drinfel'd double is responsible for much of the higher-structural properties that arise in gapped topological phases in 4d. We emphasize that this work also displays the first ever instance of higher Tannakian duality for 2-categories.